=>

[1,2]=>[1,0,1,0]=>[1]=>[[1]]=>0 [1,2,3]=>[1,0,1,0,1,0]=>[2,1]=>[[1,3],[2]]=>0 [1,3,2]=>[1,0,1,1,0,0]=>[1,1]=>[[1],[2]]=>0 [2,1,3]=>[1,1,0,0,1,0]=>[2]=>[[1,2]]=>0 [2,3,1]=>[1,1,0,1,0,0]=>[1]=>[[1]]=>0 [1,2,3,4]=>[1,0,1,0,1,0,1,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [1,2,4,3]=>[1,0,1,0,1,1,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [1,3,2,4]=>[1,0,1,1,0,0,1,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [1,3,4,2]=>[1,0,1,1,0,1,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [1,4,2,3]=>[1,0,1,1,1,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [1,4,3,2]=>[1,0,1,1,1,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,1,3,4]=>[1,1,0,0,1,0,1,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [2,1,4,3]=>[1,1,0,0,1,1,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [2,3,1,4]=>[1,1,0,1,0,0,1,0]=>[3,1]=>[[1,3,4],[2]]=>0 [2,3,4,1]=>[1,1,0,1,0,1,0,0]=>[2,1]=>[[1,3],[2]]=>0 [2,4,1,3]=>[1,1,0,1,1,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,4,3,1]=>[1,1,0,1,1,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,1,2,4]=>[1,1,1,0,0,0,1,0]=>[3]=>[[1,2,3]]=>0 [3,1,4,2]=>[1,1,1,0,0,1,0,0]=>[2]=>[[1,2]]=>0 [3,2,1,4]=>[1,1,1,0,0,0,1,0]=>[3]=>[[1,2,3]]=>0 [3,2,4,1]=>[1,1,1,0,0,1,0,0]=>[2]=>[[1,2]]=>0 [3,4,1,2]=>[1,1,1,0,1,0,0,0]=>[1]=>[[1]]=>0 [3,4,2,1]=>[1,1,1,0,1,0,0,0]=>[1]=>[[1]]=>0 [1,2,4,5,3]=>[1,0,1,0,1,1,0,1,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [1,2,5,3,4]=>[1,0,1,0,1,1,1,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [1,2,5,4,3]=>[1,0,1,0,1,1,1,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [1,3,2,5,4]=>[1,0,1,1,0,0,1,1,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [1,3,4,2,5]=>[1,0,1,1,0,1,0,0,1,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [1,3,4,5,2]=>[1,0,1,1,0,1,0,1,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [1,3,5,2,4]=>[1,0,1,1,0,1,1,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [1,3,5,4,2]=>[1,0,1,1,0,1,1,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [1,4,2,3,5]=>[1,0,1,1,1,0,0,0,1,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [1,4,2,5,3]=>[1,0,1,1,1,0,0,1,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [1,4,3,2,5]=>[1,0,1,1,1,0,0,0,1,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [1,4,3,5,2]=>[1,0,1,1,1,0,0,1,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [1,4,5,2,3]=>[1,0,1,1,1,0,1,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [1,4,5,3,2]=>[1,0,1,1,1,0,1,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [1,5,2,3,4]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,5,2,4,3]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,5,3,2,4]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,5,3,4,2]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,5,4,2,3]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,5,4,3,2]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,1,3,5,4]=>[1,1,0,0,1,0,1,1,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [2,1,4,3,5]=>[1,1,0,0,1,1,0,0,1,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [2,1,4,5,3]=>[1,1,0,0,1,1,0,1,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [2,1,5,3,4]=>[1,1,0,0,1,1,1,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [2,1,5,4,3]=>[1,1,0,0,1,1,1,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [2,3,1,4,5]=>[1,1,0,1,0,0,1,0,1,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [2,3,1,5,4]=>[1,1,0,1,0,0,1,1,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [2,3,4,1,5]=>[1,1,0,1,0,1,0,0,1,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [2,3,4,5,1]=>[1,1,0,1,0,1,0,1,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [2,3,5,1,4]=>[1,1,0,1,0,1,1,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [2,3,5,4,1]=>[1,1,0,1,0,1,1,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [2,4,1,3,5]=>[1,1,0,1,1,0,0,0,1,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [2,4,1,5,3]=>[1,1,0,1,1,0,0,1,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [2,4,3,1,5]=>[1,1,0,1,1,0,0,0,1,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [2,4,3,5,1]=>[1,1,0,1,1,0,0,1,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [2,4,5,1,3]=>[1,1,0,1,1,0,1,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [2,4,5,3,1]=>[1,1,0,1,1,0,1,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [2,5,1,3,4]=>[1,1,0,1,1,1,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,5,1,4,3]=>[1,1,0,1,1,1,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,5,3,1,4]=>[1,1,0,1,1,1,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,5,3,4,1]=>[1,1,0,1,1,1,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,5,4,1,3]=>[1,1,0,1,1,1,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,5,4,3,1]=>[1,1,0,1,1,1,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,1,2,4,5]=>[1,1,1,0,0,0,1,0,1,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [3,1,2,5,4]=>[1,1,1,0,0,0,1,1,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [3,1,4,2,5]=>[1,1,1,0,0,1,0,0,1,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [3,1,4,5,2]=>[1,1,1,0,0,1,0,1,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [3,1,5,2,4]=>[1,1,1,0,0,1,1,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,1,5,4,2]=>[1,1,1,0,0,1,1,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,2,1,4,5]=>[1,1,1,0,0,0,1,0,1,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [3,2,1,5,4]=>[1,1,1,0,0,0,1,1,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [3,2,4,1,5]=>[1,1,1,0,0,1,0,0,1,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [3,2,4,5,1]=>[1,1,1,0,0,1,0,1,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [3,2,5,1,4]=>[1,1,1,0,0,1,1,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,2,5,4,1]=>[1,1,1,0,0,1,1,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,4,1,2,5]=>[1,1,1,0,1,0,0,0,1,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [3,4,1,5,2]=>[1,1,1,0,1,0,0,1,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [3,4,2,1,5]=>[1,1,1,0,1,0,0,0,1,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [3,4,2,5,1]=>[1,1,1,0,1,0,0,1,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [3,4,5,1,2]=>[1,1,1,0,1,0,1,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [3,4,5,2,1]=>[1,1,1,0,1,0,1,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [3,5,1,2,4]=>[1,1,1,0,1,1,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,5,1,4,2]=>[1,1,1,0,1,1,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,5,2,1,4]=>[1,1,1,0,1,1,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,5,2,4,1]=>[1,1,1,0,1,1,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,5,4,1,2]=>[1,1,1,0,1,1,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,5,4,2,1]=>[1,1,1,0,1,1,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,1,2,3,5]=>[1,1,1,1,0,0,0,0,1,0]=>[4]=>[[1,2,3,4]]=>0 [4,1,2,5,3]=>[1,1,1,1,0,0,0,1,0,0]=>[3]=>[[1,2,3]]=>0 [4,1,3,2,5]=>[1,1,1,1,0,0,0,0,1,0]=>[4]=>[[1,2,3,4]]=>0 [4,1,3,5,2]=>[1,1,1,1,0,0,0,1,0,0]=>[3]=>[[1,2,3]]=>0 [4,1,5,2,3]=>[1,1,1,1,0,0,1,0,0,0]=>[2]=>[[1,2]]=>0 [4,1,5,3,2]=>[1,1,1,1,0,0,1,0,0,0]=>[2]=>[[1,2]]=>0 [4,2,1,3,5]=>[1,1,1,1,0,0,0,0,1,0]=>[4]=>[[1,2,3,4]]=>0 [4,2,1,5,3]=>[1,1,1,1,0,0,0,1,0,0]=>[3]=>[[1,2,3]]=>0 [4,2,3,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>[4]=>[[1,2,3,4]]=>0 [4,2,3,5,1]=>[1,1,1,1,0,0,0,1,0,0]=>[3]=>[[1,2,3]]=>0 [4,2,5,1,3]=>[1,1,1,1,0,0,1,0,0,0]=>[2]=>[[1,2]]=>0 [4,2,5,3,1]=>[1,1,1,1,0,0,1,0,0,0]=>[2]=>[[1,2]]=>0 [4,3,1,2,5]=>[1,1,1,1,0,0,0,0,1,0]=>[4]=>[[1,2,3,4]]=>0 [4,3,1,5,2]=>[1,1,1,1,0,0,0,1,0,0]=>[3]=>[[1,2,3]]=>0 [4,3,2,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>[4]=>[[1,2,3,4]]=>0 [4,3,2,5,1]=>[1,1,1,1,0,0,0,1,0,0]=>[3]=>[[1,2,3]]=>0 [4,3,5,1,2]=>[1,1,1,1,0,0,1,0,0,0]=>[2]=>[[1,2]]=>0 [4,3,5,2,1]=>[1,1,1,1,0,0,1,0,0,0]=>[2]=>[[1,2]]=>0 [4,5,1,2,3]=>[1,1,1,1,0,1,0,0,0,0]=>[1]=>[[1]]=>0 [4,5,1,3,2]=>[1,1,1,1,0,1,0,0,0,0]=>[1]=>[[1]]=>0 [4,5,2,1,3]=>[1,1,1,1,0,1,0,0,0,0]=>[1]=>[[1]]=>0 [4,5,2,3,1]=>[1,1,1,1,0,1,0,0,0,0]=>[1]=>[[1]]=>0 [4,5,3,1,2]=>[1,1,1,1,0,1,0,0,0,0]=>[1]=>[[1]]=>0 [4,5,3,2,1]=>[1,1,1,1,0,1,0,0,0,0]=>[1]=>[[1]]=>0 [1,3,6,2,4,5]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [1,3,6,2,5,4]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [1,3,6,4,2,5]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [1,3,6,4,5,2]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [1,3,6,5,2,4]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [1,3,6,5,4,2]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [1,4,5,6,2,3]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [1,4,5,6,3,2]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [1,4,6,2,3,5]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [1,4,6,2,5,3]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [1,4,6,3,2,5]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [1,4,6,3,5,2]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [1,4,6,5,2,3]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [1,4,6,5,3,2]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [1,5,2,3,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [1,5,2,4,6,3]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [1,5,2,6,3,4]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [1,5,2,6,4,3]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [1,5,3,2,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [1,5,3,4,6,2]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [1,5,3,6,2,4]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [1,5,3,6,4,2]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [1,5,4,2,6,3]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [1,5,4,3,6,2]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [1,5,4,6,2,3]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [1,5,4,6,3,2]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [1,5,6,2,3,4]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [1,5,6,2,4,3]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [1,5,6,3,2,4]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [1,5,6,3,4,2]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [1,5,6,4,2,3]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [1,5,6,4,3,2]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [1,6,2,3,4,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,6,2,3,5,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,6,2,4,3,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,6,2,4,5,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,6,2,5,3,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,6,2,5,4,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,6,3,2,4,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,6,3,2,5,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,6,3,4,2,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,6,3,4,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,6,3,5,2,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,6,3,5,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,6,4,2,3,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,6,4,2,5,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,6,4,3,2,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,6,4,3,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,6,4,5,2,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,6,4,5,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,6,5,2,3,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,6,5,2,4,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,6,5,3,2,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,6,5,3,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,6,5,4,2,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,1,6,3,4,5]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [2,1,6,3,5,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [2,1,6,4,3,5]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [2,1,6,4,5,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [2,1,6,5,3,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [2,3,5,6,1,4]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [2,3,5,6,4,1]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [2,3,6,1,4,5]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [2,3,6,1,5,4]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [2,3,6,4,1,5]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [2,3,6,4,5,1]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [2,3,6,5,1,4]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [2,3,6,5,4,1]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [2,4,1,6,3,5]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [2,4,1,6,5,3]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [2,4,3,6,1,5]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [2,4,3,6,5,1]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [2,4,5,1,6,3]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [2,4,5,3,6,1]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [2,4,5,6,1,3]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [2,4,5,6,3,1]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [2,4,6,1,3,5]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [2,4,6,1,5,3]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [2,4,6,3,1,5]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [2,4,6,3,5,1]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [2,4,6,5,1,3]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [2,4,6,5,3,1]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [2,5,1,3,4,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [2,5,1,3,6,4]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [2,5,1,4,3,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [2,5,1,4,6,3]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [2,5,1,6,3,4]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [2,5,1,6,4,3]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [2,5,3,1,4,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [2,5,3,1,6,4]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [2,5,3,4,1,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [2,5,3,4,6,1]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [2,5,3,6,1,4]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [2,5,3,6,4,1]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [2,5,4,1,3,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [2,5,4,1,6,3]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [2,5,4,3,1,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [2,5,4,3,6,1]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [2,5,4,6,1,3]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [2,5,4,6,3,1]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [2,5,6,1,3,4]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [2,5,6,1,4,3]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [2,5,6,3,1,4]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [2,5,6,3,4,1]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [2,5,6,4,1,3]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [2,5,6,4,3,1]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [2,6,1,3,4,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,1,3,5,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,1,4,3,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,1,4,5,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,1,5,3,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,1,5,4,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,3,1,4,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,3,1,5,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,3,4,1,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,3,4,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,3,5,1,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,3,5,4,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,4,1,3,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,4,1,5,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,4,3,1,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,4,3,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,4,5,1,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,4,5,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,5,1,3,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,5,1,4,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,5,3,1,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,5,3,4,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,5,4,1,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,5,4,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,1,4,6,2,5]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [3,1,4,6,5,2]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [3,1,5,2,6,4]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [3,1,5,4,6,2]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [3,1,5,6,2,4]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [3,1,5,6,4,2]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [3,1,6,2,4,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,1,6,2,5,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,1,6,4,2,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,1,6,4,5,2]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,1,6,5,2,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,1,6,5,4,2]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,2,4,6,1,5]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [3,2,4,6,5,1]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [3,2,5,1,6,4]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [3,2,5,4,6,1]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [3,2,5,6,1,4]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [3,2,5,6,4,1]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [3,2,6,1,4,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,2,6,1,5,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,2,6,4,1,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,2,6,4,5,1]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,2,6,5,1,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,2,6,5,4,1]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,4,1,5,6,2]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [3,4,1,6,2,5]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [3,4,1,6,5,2]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [3,4,2,5,6,1]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [3,4,2,6,1,5]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [3,4,2,6,5,1]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [3,4,5,1,2,6]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [3,4,5,1,6,2]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [3,4,5,2,1,6]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [3,4,5,2,6,1]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [3,4,5,6,1,2]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [3,4,5,6,2,1]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [3,4,6,1,2,5]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [3,4,6,1,5,2]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [3,4,6,2,1,5]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [3,4,6,2,5,1]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [3,4,6,5,1,2]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [3,4,6,5,2,1]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [3,5,1,2,4,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [3,5,1,2,6,4]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [3,5,1,4,2,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [3,5,1,4,6,2]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [3,5,1,6,2,4]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [3,5,1,6,4,2]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [3,5,2,1,4,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [3,5,2,1,6,4]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [3,5,2,4,1,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [3,5,2,4,6,1]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [3,5,2,6,1,4]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [3,5,2,6,4,1]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [3,5,4,1,2,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [3,5,4,1,6,2]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [3,5,4,2,1,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [3,5,4,2,6,1]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [3,5,4,6,1,2]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [3,5,4,6,2,1]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [3,5,6,1,2,4]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [3,5,6,1,4,2]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [3,5,6,2,1,4]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [3,5,6,2,4,1]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [3,5,6,4,1,2]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [3,5,6,4,2,1]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [3,6,1,2,4,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,1,2,5,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,1,4,2,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,1,4,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,1,5,2,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,1,5,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,2,1,4,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,2,1,5,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,2,4,1,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,2,4,5,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,2,5,1,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,2,5,4,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,4,1,2,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,4,1,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,4,2,1,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,4,2,5,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,4,5,1,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,4,5,2,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,5,1,2,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,5,1,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,5,2,1,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,5,2,4,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,5,4,1,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,5,4,2,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,1,2,3,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,1,2,5,3,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [4,1,2,5,6,3]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [4,1,2,6,3,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,1,2,6,5,3]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,1,3,2,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,1,3,5,2,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [4,1,3,5,6,2]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [4,1,3,6,2,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,1,3,6,5,2]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,1,5,2,3,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [4,1,5,2,6,3]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [4,1,5,3,2,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [4,1,5,3,6,2]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [4,1,5,6,2,3]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [4,1,5,6,3,2]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [4,1,6,2,3,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,1,6,2,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,1,6,3,2,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,1,6,3,5,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,1,6,5,2,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,1,6,5,3,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,2,1,3,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,2,1,5,3,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [4,2,1,5,6,3]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [4,2,1,6,3,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,2,1,6,5,3]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,2,3,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,2,3,5,1,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [4,2,3,5,6,1]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [4,2,3,6,1,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,2,3,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,2,5,1,3,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [4,2,5,1,6,3]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [4,2,5,3,1,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [4,2,5,3,6,1]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [4,2,5,6,1,3]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [4,2,5,6,3,1]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [4,2,6,1,3,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,2,6,1,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,2,6,3,1,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,2,6,3,5,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,2,6,5,1,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,2,6,5,3,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,3,1,2,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,3,1,5,2,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [4,3,1,5,6,2]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [4,3,1,6,2,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,3,1,6,5,2]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,3,2,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,3,2,5,1,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [4,3,2,5,6,1]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [4,3,2,6,1,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,3,2,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,3,5,1,2,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [4,3,5,1,6,2]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [4,3,5,2,1,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [4,3,5,2,6,1]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [4,3,5,6,1,2]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [4,3,5,6,2,1]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [4,3,6,1,2,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,3,6,1,5,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,3,6,2,1,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,3,6,2,5,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,3,6,5,1,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,3,6,5,2,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,5,1,2,3,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [4,5,1,2,6,3]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [4,5,1,3,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [4,5,1,3,6,2]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [4,5,1,6,2,3]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [4,5,1,6,3,2]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [4,5,2,1,3,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [4,5,2,1,6,3]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [4,5,2,3,1,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [4,5,2,3,6,1]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [4,5,2,6,1,3]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [4,5,2,6,3,1]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [4,5,3,1,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [4,5,3,1,6,2]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [4,5,3,2,1,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [4,5,3,2,6,1]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [4,5,3,6,1,2]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [4,5,3,6,2,1]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [4,5,6,1,2,3]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [4,5,6,1,3,2]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [4,5,6,2,1,3]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [4,5,6,2,3,1]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [4,5,6,3,1,2]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [4,5,6,3,2,1]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [4,6,1,2,3,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,1,2,5,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,1,3,2,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,1,3,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,1,5,2,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,1,5,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,2,1,3,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,2,1,5,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,2,3,1,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,2,3,5,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,2,5,1,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,2,5,3,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,3,1,2,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,3,2,1,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,3,2,5,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,3,5,1,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,3,5,2,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,5,1,2,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,5,1,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,5,2,1,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,5,2,3,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,5,3,1,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,5,3,2,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,1,2,3,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,1,2,3,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,1,2,4,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,1,2,4,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,1,2,6,3,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,1,2,6,4,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,1,3,2,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,1,3,2,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,1,3,4,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,1,3,4,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,1,3,6,2,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,1,3,6,4,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,1,4,2,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,1,4,2,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,1,4,3,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,1,4,3,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,1,4,6,2,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,1,4,6,3,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,1,6,2,3,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,1,6,2,4,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,1,6,3,2,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,1,6,3,4,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,1,6,4,2,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,1,6,4,3,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,2,1,3,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,2,1,3,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,2,1,4,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,2,1,4,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,2,1,6,3,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,2,1,6,4,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,2,3,1,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,2,3,1,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,2,3,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,2,3,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,2,3,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,2,3,6,4,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,2,4,1,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,2,4,1,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,2,4,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,2,4,3,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,2,4,6,1,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,2,4,6,3,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,2,6,1,3,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,2,6,1,4,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,2,6,3,1,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,2,6,3,4,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,2,6,4,3,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,3,1,2,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,3,1,2,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,3,1,4,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,3,1,4,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,3,1,6,2,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,3,1,6,4,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,3,2,1,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,3,2,1,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,3,2,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,3,2,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,3,2,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,3,2,6,4,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,3,4,1,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,3,4,1,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,3,4,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,3,4,2,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,3,4,6,1,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,3,4,6,2,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,3,6,1,2,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,3,6,1,4,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,3,6,2,1,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,3,6,2,4,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,3,6,4,1,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,3,6,4,2,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,4,1,2,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,4,1,2,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,4,1,3,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,4,1,3,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,4,1,6,2,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,4,1,6,3,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,4,2,1,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,4,2,1,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,4,2,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,4,2,3,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,4,2,6,1,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,4,2,6,3,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,4,3,1,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,4,3,1,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,4,3,2,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,4,3,6,1,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,4,3,6,2,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,4,6,1,2,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,4,6,1,3,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,4,6,2,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,4,6,2,3,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,4,6,3,1,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,4,6,3,2,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,6,1,2,3,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,1,2,4,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,1,3,2,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,1,3,4,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,1,4,2,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,1,4,3,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,2,1,3,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,2,1,4,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,2,3,1,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,2,3,4,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,2,4,1,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,2,4,3,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,3,1,2,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,3,1,4,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,3,2,1,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,3,2,4,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,3,4,2,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,4,1,2,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,4,1,3,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,4,2,1,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,4,2,3,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,4,3,2,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,5,7,2,3,4,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,5,7,2,3,6,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,5,7,2,4,3,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,5,7,2,4,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,5,7,2,6,3,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,5,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,5,7,3,2,4,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,5,7,3,2,6,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,5,7,3,4,2,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,5,7,3,4,6,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,5,7,3,6,2,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,5,7,3,6,4,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,5,7,4,2,3,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,5,7,4,3,2,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,5,7,4,3,6,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,5,7,4,6,2,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,5,7,4,6,3,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,5,7,6,2,3,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,5,7,6,2,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,5,7,6,3,2,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,5,7,6,3,4,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,5,7,6,4,2,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,5,7,6,4,3,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,6,2,7,3,4,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,6,2,7,3,5,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,6,2,7,4,3,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,6,2,7,4,5,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,6,2,7,5,3,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,6,2,7,5,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,6,3,7,2,4,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,6,3,7,2,5,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,6,3,7,4,2,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,6,3,7,4,5,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,6,3,7,5,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,6,4,7,2,3,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,6,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,6,4,7,3,2,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,6,4,7,3,5,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,6,4,7,5,2,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,6,4,7,5,3,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,6,5,7,2,3,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,6,5,7,2,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,6,5,7,3,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,6,5,7,3,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,6,5,7,4,2,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,6,5,7,4,3,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,6,7,2,3,4,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,6,7,2,3,5,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,6,7,2,4,3,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,6,7,2,4,5,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,6,7,2,5,3,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,6,7,2,5,4,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,6,7,3,2,4,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,6,7,3,2,5,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,6,7,3,4,2,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,6,7,3,4,5,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,6,7,3,5,2,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,6,7,3,5,4,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,6,7,4,2,3,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,6,7,4,2,5,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,6,7,4,3,2,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,6,7,4,3,5,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,6,7,4,5,3,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,6,7,5,2,3,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,6,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,6,7,5,3,2,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,6,7,5,4,3,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,7,2,3,4,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,2,3,4,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,2,3,5,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,2,3,5,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,2,3,6,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,2,3,6,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,2,4,3,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,2,4,3,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,2,4,5,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,2,4,5,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,2,4,6,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,2,4,6,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,2,5,3,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,2,5,3,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,2,5,4,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,2,5,4,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,2,5,6,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,2,5,6,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,2,6,3,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,2,6,3,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,2,6,4,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,2,6,4,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,2,6,5,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,2,6,5,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,3,2,4,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,3,2,4,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,3,2,5,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,3,2,5,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,3,2,6,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,3,2,6,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,3,4,2,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,3,4,2,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,3,4,5,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,3,4,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,3,5,2,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,3,5,2,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,3,5,4,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,3,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,3,5,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,3,6,2,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,3,6,2,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,3,6,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,3,6,4,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,3,6,5,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,4,2,3,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,4,2,3,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,4,2,5,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,4,2,5,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,4,2,6,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,4,2,6,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,4,3,2,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,4,3,2,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,4,3,5,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,4,3,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,4,5,2,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,4,5,2,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,4,5,3,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,4,5,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,4,6,2,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,4,6,2,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,4,6,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,4,6,3,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,5,2,3,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,5,2,3,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,5,2,4,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,5,2,4,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,5,2,6,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,5,2,6,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,5,3,2,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,5,3,2,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,5,3,4,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,5,3,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,5,3,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,5,3,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,5,4,2,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,5,4,2,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,5,4,3,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,5,6,2,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,5,6,2,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,5,6,3,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,5,6,4,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,6,2,3,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,6,2,3,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,6,2,4,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,6,2,4,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,6,2,5,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,6,2,5,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,6,3,2,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,6,3,2,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,6,3,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,6,3,4,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,6,3,5,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,6,3,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,6,4,2,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,6,4,2,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,6,4,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,6,4,3,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,6,4,5,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,6,5,2,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,6,5,2,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,6,5,3,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,6,5,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,4,7,1,3,5,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,4,7,1,3,6,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,4,7,1,5,3,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,4,7,1,5,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,4,7,1,6,3,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,4,7,1,6,5,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,4,7,3,1,5,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,4,7,3,1,6,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,4,7,3,5,1,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,4,7,3,5,6,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,4,7,3,6,1,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,4,7,3,6,5,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,4,7,5,1,3,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,4,7,5,1,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,4,7,5,3,1,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,4,7,5,3,6,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,4,7,5,6,1,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,4,7,5,6,3,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,4,7,6,1,3,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,4,7,6,1,5,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,4,7,6,3,1,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,4,7,6,3,5,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,4,7,6,5,1,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,4,7,6,5,3,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,5,6,7,1,3,4]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [2,5,6,7,1,4,3]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [2,5,6,7,3,1,4]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [2,5,6,7,3,4,1]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [2,5,6,7,4,1,3]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [2,5,6,7,4,3,1]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [2,5,7,1,3,4,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,5,7,1,3,6,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,5,7,1,4,3,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,5,7,1,4,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,5,7,1,6,3,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,5,7,1,6,4,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,5,7,3,1,4,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,5,7,3,1,6,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,5,7,3,4,1,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,5,7,3,4,6,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,5,7,3,6,1,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,5,7,3,6,4,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,5,7,4,1,3,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,5,7,4,1,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,5,7,4,3,1,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,5,7,4,3,6,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,5,7,4,6,1,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,5,7,4,6,3,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,5,7,6,1,3,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,5,7,6,1,4,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,5,7,6,3,1,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,5,7,6,3,4,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,5,7,6,4,1,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,5,7,6,4,3,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,6,1,3,7,4,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,1,3,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,1,4,7,3,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,1,4,7,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,1,5,7,3,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,1,5,7,4,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,1,7,3,4,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,6,1,7,3,5,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,6,1,7,4,3,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,6,1,7,4,5,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,6,1,7,5,3,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,6,1,7,5,4,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,6,3,1,7,4,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,3,1,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,3,4,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,3,4,7,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,3,5,7,1,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,3,5,7,4,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,3,7,1,4,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,6,3,7,1,5,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,6,3,7,4,1,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,6,3,7,4,5,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,6,3,7,5,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,6,3,7,5,4,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,6,4,1,7,3,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,4,1,7,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,4,3,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,4,3,7,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,4,5,7,1,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,4,5,7,3,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,4,7,1,3,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,6,4,7,1,5,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,6,4,7,3,1,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,6,4,7,3,5,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,6,4,7,5,1,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,6,4,7,5,3,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,6,5,1,7,3,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,5,1,7,4,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,5,3,7,1,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,5,3,7,4,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,5,4,7,1,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,5,4,7,3,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,5,7,1,3,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,6,5,7,1,4,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,6,5,7,3,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,6,5,7,3,4,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,6,5,7,4,1,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,6,5,7,4,3,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,6,7,1,3,4,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,6,7,1,3,5,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,6,7,1,4,3,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,6,7,1,4,5,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,6,7,1,5,3,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,6,7,1,5,4,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,6,7,3,1,4,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,6,7,3,1,5,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,6,7,3,4,1,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,6,7,3,4,5,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,6,7,3,5,1,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,6,7,3,5,4,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,6,7,4,1,3,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,6,7,4,1,5,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,6,7,4,3,1,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,6,7,4,3,5,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,6,7,4,5,3,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,6,7,5,1,3,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,6,7,5,1,4,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,6,7,5,3,1,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,6,7,5,3,4,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,6,7,5,4,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,6,7,5,4,3,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,7,1,3,4,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,1,3,4,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,1,3,5,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,1,3,5,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,1,3,6,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,1,3,6,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,1,4,3,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,1,4,3,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,1,4,5,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,1,4,5,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,1,4,6,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,1,4,6,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,1,5,3,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,1,5,3,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,1,5,4,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,1,5,4,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,1,5,6,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,1,5,6,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,1,6,3,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,1,6,3,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,1,6,4,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,1,6,4,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,1,6,5,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,1,6,5,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,3,1,4,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,3,1,4,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,3,1,5,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,3,1,5,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,3,1,6,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,3,1,6,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,3,4,1,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,3,4,1,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,3,4,5,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,3,4,6,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,3,4,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,3,5,1,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,3,5,1,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,3,5,4,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,3,5,4,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,3,5,6,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,3,5,6,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,3,6,1,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,3,6,1,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,3,6,4,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,3,6,4,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,3,6,5,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,3,6,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,4,1,3,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,4,1,3,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,4,1,5,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,4,1,5,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,4,1,6,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,4,1,6,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,4,3,1,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,4,3,1,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,4,3,5,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,4,3,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,4,3,6,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,4,3,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,4,5,1,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,4,5,1,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,4,5,3,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,4,5,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,4,5,6,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,4,5,6,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,4,6,1,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,4,6,1,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,4,6,3,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,4,6,3,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,4,6,5,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,4,6,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,5,1,3,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,5,1,3,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,5,1,4,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,5,1,4,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,5,1,6,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,5,1,6,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,5,3,1,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,5,3,1,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,5,3,4,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,5,3,4,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,5,3,6,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,5,3,6,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,5,4,1,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,5,4,1,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,5,4,3,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,5,4,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,5,4,6,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,5,4,6,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,5,6,1,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,5,6,1,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,5,6,3,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,5,6,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,5,6,4,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,5,6,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,6,1,3,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,6,1,3,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,6,1,4,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,6,1,4,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,6,1,5,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,6,1,5,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,6,3,1,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,6,3,1,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,6,3,4,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,6,3,4,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,6,3,5,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,6,3,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,6,4,1,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,6,4,1,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,6,4,3,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,6,4,3,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,6,4,5,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,6,5,1,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,6,5,1,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,6,5,3,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,6,5,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,6,5,4,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,1,7,2,4,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,1,7,2,4,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,1,7,2,5,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,1,7,2,5,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,1,7,2,6,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,1,7,2,6,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,1,7,4,2,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,1,7,4,2,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,1,7,4,5,2,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,1,7,4,5,6,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,1,7,4,6,2,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,1,7,4,6,5,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,1,7,5,2,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,1,7,5,2,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,1,7,5,4,2,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,1,7,5,4,6,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,1,7,5,6,2,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,1,7,5,6,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,1,7,6,2,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,1,7,6,2,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,1,7,6,4,2,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,1,7,6,4,5,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,1,7,6,5,2,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,1,7,6,5,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,2,7,1,4,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,2,7,1,4,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,2,7,1,5,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,2,7,1,5,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,2,7,1,6,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,2,7,1,6,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,2,7,4,1,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,2,7,4,1,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,2,7,4,5,1,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,2,7,4,5,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,2,7,4,6,1,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,2,7,4,6,5,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,2,7,5,1,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,2,7,5,1,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,2,7,5,4,1,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,2,7,5,4,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,2,7,5,6,1,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,2,7,5,6,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,2,7,6,1,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,2,7,6,1,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,2,7,6,4,1,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,2,7,6,4,5,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,2,7,6,5,1,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,4,6,7,1,2,5]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [3,4,6,7,1,5,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [3,4,6,7,2,1,5]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [3,4,6,7,2,5,1]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [3,4,6,7,5,1,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [3,4,6,7,5,2,1]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [3,4,7,1,2,5,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,4,7,1,2,6,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,4,7,1,5,2,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,4,7,1,5,6,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,4,7,1,6,2,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,4,7,1,6,5,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,4,7,2,1,5,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,4,7,2,1,6,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,4,7,2,5,1,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,4,7,2,5,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,4,7,2,6,1,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,4,7,2,6,5,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,4,7,5,1,2,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,4,7,5,1,6,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,4,7,5,2,1,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,4,7,5,2,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,4,7,5,6,1,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,4,7,5,6,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,4,7,6,1,2,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,4,7,6,1,5,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,4,7,6,2,1,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,4,7,6,2,5,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,4,7,6,5,1,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,4,7,6,5,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,5,1,7,2,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [3,5,1,7,2,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [3,5,1,7,4,2,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [3,5,1,7,4,6,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [3,5,1,7,6,2,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [3,5,1,7,6,4,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [3,5,2,7,1,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [3,5,2,7,1,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [3,5,2,7,4,1,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [3,5,2,7,4,6,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [3,5,2,7,6,1,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [3,5,2,7,6,4,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [3,5,4,7,1,2,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [3,5,4,7,1,6,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [3,5,4,7,2,1,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [3,5,4,7,2,6,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [3,5,4,7,6,1,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [3,5,4,7,6,2,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [3,5,6,1,7,2,4]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [3,5,6,1,7,4,2]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [3,5,6,2,7,1,4]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [3,5,6,2,7,4,1]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [3,5,6,4,7,1,2]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [3,5,6,4,7,2,1]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [3,5,6,7,1,2,4]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [3,5,6,7,1,4,2]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [3,5,6,7,2,1,4]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [3,5,6,7,2,4,1]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [3,5,6,7,4,1,2]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [3,5,6,7,4,2,1]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [3,5,7,1,2,4,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,5,7,1,2,6,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,5,7,1,4,2,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,5,7,1,4,6,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,5,7,1,6,2,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,5,7,1,6,4,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,5,7,2,1,4,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,5,7,2,1,6,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,5,7,2,4,1,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,5,7,2,4,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,5,7,2,6,1,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,5,7,2,6,4,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,5,7,4,1,2,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,5,7,4,1,6,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,5,7,4,2,1,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,5,7,4,2,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,5,7,4,6,1,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,5,7,4,6,2,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,5,7,6,1,2,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,5,7,6,1,4,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,5,7,6,2,1,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,5,7,6,2,4,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,5,7,6,4,1,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,5,7,6,4,2,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,6,1,2,4,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,1,2,5,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,1,2,7,4,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,6,1,2,7,5,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,6,1,4,2,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,1,4,5,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,1,4,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,6,1,4,7,5,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,6,1,5,2,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,1,5,4,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,1,5,7,2,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,6,1,5,7,4,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,6,1,7,2,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,1,7,2,5,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,1,7,4,2,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,1,7,4,5,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,1,7,5,4,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,2,1,4,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,2,1,5,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,2,1,7,4,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,6,2,1,7,5,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,6,2,4,1,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,2,4,5,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,2,4,7,1,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,6,2,4,7,5,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,6,2,5,1,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,2,5,4,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,2,5,7,1,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,6,2,5,7,4,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,6,2,7,1,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,2,7,1,5,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,2,7,4,1,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,2,7,4,5,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,2,7,5,1,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,2,7,5,4,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,4,1,2,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,4,1,5,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,4,1,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,6,4,1,7,5,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,6,4,2,1,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,4,2,5,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,4,2,7,1,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,6,4,2,7,5,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,6,4,5,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,4,5,2,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,4,5,7,1,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,6,4,5,7,2,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,6,4,7,1,2,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,4,7,1,5,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,4,7,2,1,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,4,7,2,5,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,4,7,5,1,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,4,7,5,2,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,5,1,2,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,5,1,4,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,5,1,7,2,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,6,5,1,7,4,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,6,5,2,1,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,5,2,4,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,5,2,7,1,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,6,5,2,7,4,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,6,5,4,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,5,4,2,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,5,4,7,1,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,6,5,4,7,2,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,6,5,7,1,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,5,7,1,4,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,5,7,2,1,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,5,7,2,4,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,5,7,4,1,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,5,7,4,2,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,7,1,2,4,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,6,7,1,2,5,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,6,7,1,4,2,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,6,7,1,4,5,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,6,7,1,5,2,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,6,7,1,5,4,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,6,7,2,1,4,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,6,7,2,1,5,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,6,7,2,4,1,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,6,7,2,4,5,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,6,7,2,5,1,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,6,7,2,5,4,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,6,7,4,1,2,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,6,7,4,1,5,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,6,7,4,2,1,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,6,7,4,2,5,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,6,7,4,5,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,6,7,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,6,7,5,1,2,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,6,7,5,1,4,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,6,7,5,2,1,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,6,7,5,2,4,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,6,7,5,4,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,6,7,5,4,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,7,1,2,4,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,2,4,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,2,5,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,2,5,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,2,6,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,2,6,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,4,2,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,4,2,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,4,5,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,4,6,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,5,2,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,5,2,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,5,4,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,5,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,5,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,6,2,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,6,2,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,6,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,6,4,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,2,1,4,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,2,1,4,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,2,1,5,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,2,1,5,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,2,1,6,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,2,1,6,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,2,4,1,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,2,4,1,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,2,4,5,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,2,4,5,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,2,4,6,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,2,4,6,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,2,5,1,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,2,5,1,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,2,5,4,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,2,5,4,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,2,5,6,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,2,5,6,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,2,6,1,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,2,6,1,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,2,6,4,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,2,6,4,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,2,6,5,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,2,6,5,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,1,2,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,1,2,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,1,5,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,1,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,1,6,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,1,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,2,1,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,2,1,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,2,5,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,2,5,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,2,6,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,2,6,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,5,1,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,5,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,5,2,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,5,2,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,5,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,5,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,6,1,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,6,1,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,6,2,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,6,2,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,6,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,6,5,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,5,1,2,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,5,1,2,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,5,1,4,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,5,1,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,5,1,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,5,1,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,5,2,1,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,5,2,1,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,5,2,4,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,5,2,4,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,5,2,6,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,5,2,6,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,5,4,1,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,5,4,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,5,4,2,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,5,4,2,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,5,4,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,5,4,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,5,6,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,5,6,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,5,6,2,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,5,6,2,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,5,6,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,5,6,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,1,2,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,1,2,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,1,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,1,4,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,1,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,1,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,2,1,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,2,1,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,2,4,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,2,4,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,2,5,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,2,5,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,4,1,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,4,1,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,4,2,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,4,2,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,4,5,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,5,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,5,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,5,2,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,5,2,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,5,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,5,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,1,5,7,2,3,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,1,5,7,2,6,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,1,5,7,3,2,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,1,5,7,3,6,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,1,5,7,6,2,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,1,5,7,6,3,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,1,6,2,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,1,6,2,7,5,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,1,6,3,7,2,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,1,6,3,7,5,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,1,6,5,7,2,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,1,6,5,7,3,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,1,6,7,2,3,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,1,6,7,2,5,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,1,6,7,3,2,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,1,6,7,3,5,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,1,6,7,5,2,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,1,6,7,5,3,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,1,7,2,3,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,7,2,3,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,7,2,5,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,7,2,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,7,2,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,7,2,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,7,3,2,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,7,3,2,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,7,3,5,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,7,3,5,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,7,3,6,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,7,3,6,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,7,5,2,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,7,5,2,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,7,5,3,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,7,5,3,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,7,5,6,2,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,7,5,6,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,7,6,2,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,7,6,2,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,7,6,3,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,7,6,3,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,7,6,5,2,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,7,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,5,7,1,3,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,2,5,7,1,6,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,2,5,7,3,1,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,2,5,7,3,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,2,5,7,6,1,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,2,5,7,6,3,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,2,6,1,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,2,6,1,7,5,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,2,6,3,7,1,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,2,6,3,7,5,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,2,6,5,7,1,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,2,6,5,7,3,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,2,6,7,1,3,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,2,6,7,1,5,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,2,6,7,3,1,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,2,6,7,3,5,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,2,6,7,5,1,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,2,6,7,5,3,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,2,7,1,3,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,7,1,3,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,7,1,5,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,7,1,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,7,3,1,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,7,3,1,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,7,3,5,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,7,3,5,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,7,3,6,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,7,3,6,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,7,5,1,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,7,5,1,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,7,5,3,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,7,5,3,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,7,5,6,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,7,5,6,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,7,6,1,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,7,6,1,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,7,6,3,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,7,6,3,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,7,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,7,6,5,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,5,7,1,2,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,3,5,7,1,6,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,3,5,7,2,1,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,3,5,7,2,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,3,5,7,6,1,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,3,5,7,6,2,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,3,6,1,7,2,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,3,6,1,7,5,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,3,6,2,7,1,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,3,6,2,7,5,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,3,6,5,7,1,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,3,6,5,7,2,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,3,6,7,1,2,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,3,6,7,1,5,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,3,6,7,2,1,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,3,6,7,2,5,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,3,6,7,5,1,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,3,6,7,5,2,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,3,7,1,2,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,7,1,2,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,7,1,5,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,7,1,5,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,7,1,6,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,7,1,6,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,7,2,1,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,7,2,1,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,7,2,5,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,7,2,5,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,7,2,6,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,7,2,6,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,7,5,1,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,7,5,1,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,7,5,2,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,7,5,2,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,7,5,6,1,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,7,5,6,2,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,7,6,1,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,7,6,1,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,7,6,2,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,7,6,2,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,7,6,5,1,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,7,6,5,2,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,5,1,6,7,2,3]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [4,5,1,6,7,3,2]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [4,5,1,7,2,3,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,5,1,7,2,6,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,5,1,7,3,2,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,5,1,7,3,6,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,5,1,7,6,2,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,5,1,7,6,3,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,5,2,6,7,1,3]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [4,5,2,6,7,3,1]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [4,5,2,7,1,3,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,5,2,7,1,6,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,5,2,7,3,1,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,5,2,7,3,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,5,2,7,6,1,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,5,2,7,6,3,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,5,3,6,7,1,2]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [4,5,3,6,7,2,1]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [4,5,3,7,1,2,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,5,3,7,1,6,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,5,3,7,2,1,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,5,3,7,2,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,5,3,7,6,1,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,5,3,7,6,2,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,5,6,1,2,7,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [4,5,6,1,3,7,2]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [4,5,6,1,7,2,3]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [4,5,6,1,7,3,2]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [4,5,6,2,1,7,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [4,5,6,2,3,7,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [4,5,6,2,7,1,3]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [4,5,6,2,7,3,1]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [4,5,6,3,1,7,2]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [4,5,6,3,2,7,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [4,5,6,3,7,1,2]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [4,5,6,3,7,2,1]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [4,5,6,7,1,2,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [4,5,6,7,1,3,2]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [4,5,6,7,2,1,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [4,5,6,7,2,3,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [4,5,6,7,3,1,2]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [4,5,6,7,3,2,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [4,5,7,1,2,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,7,1,2,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,7,1,3,2,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,7,1,3,6,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,7,1,6,2,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,7,1,6,3,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,7,2,1,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,7,2,1,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,7,2,3,1,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,7,2,3,6,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,7,2,6,1,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,7,2,6,3,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,7,3,1,2,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,7,3,1,6,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,7,3,2,1,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,7,3,2,6,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,7,3,6,1,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,7,3,6,2,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,7,6,1,2,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,7,6,1,3,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,7,6,2,1,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,7,6,2,3,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,7,6,3,1,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,7,6,3,2,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,6,1,2,3,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,1,2,3,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,1,2,5,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,1,2,5,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,1,2,7,3,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,1,2,7,5,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,1,3,2,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,1,3,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,1,3,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,1,3,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,1,3,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,1,3,7,5,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,1,5,2,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,1,5,2,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,1,5,3,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,1,5,7,2,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,1,5,7,3,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,1,7,2,3,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,1,7,2,5,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,1,7,3,2,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,1,7,3,5,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,1,7,5,2,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,1,7,5,3,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,2,1,3,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,2,1,3,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,2,1,5,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,2,1,5,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,2,1,7,3,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,2,1,7,5,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,2,3,1,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,2,3,1,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,2,3,5,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,2,3,5,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,2,3,7,1,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,2,3,7,5,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,2,5,1,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,2,5,1,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,2,5,3,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,2,5,3,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,2,5,7,1,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,2,5,7,3,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,2,7,1,3,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,2,7,1,5,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,2,7,3,1,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,2,7,3,5,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,2,7,5,1,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,2,7,5,3,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,3,1,2,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,3,1,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,3,1,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,3,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,3,1,7,5,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,3,2,1,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,3,2,1,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,3,2,5,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,3,2,5,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,3,2,7,1,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,3,2,7,5,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,3,5,1,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,3,5,1,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,3,5,2,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,3,5,2,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,3,5,7,1,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,3,5,7,2,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,3,7,1,2,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,3,7,1,5,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,3,7,2,1,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,3,7,2,5,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,3,7,5,1,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,5,1,2,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,5,1,2,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,5,1,3,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,5,1,3,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,5,1,7,2,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,5,1,7,3,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,5,2,1,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,5,2,1,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,5,2,3,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,5,2,3,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,5,2,7,1,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,5,2,7,3,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,5,3,1,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,5,3,1,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,5,3,2,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,5,3,2,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,5,3,7,1,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,5,3,7,2,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,5,7,1,2,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,5,7,1,3,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,5,7,2,1,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,5,7,2,3,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,5,7,3,1,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,5,7,3,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,7,1,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,6,7,1,2,5,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,6,7,1,3,2,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,6,7,1,3,5,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,6,7,1,5,3,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,6,7,2,1,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,6,7,2,1,5,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,6,7,2,3,1,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,6,7,2,3,5,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,6,7,2,5,1,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,6,7,2,5,3,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,6,7,3,1,2,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,6,7,3,1,5,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,6,7,3,2,1,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,6,7,3,2,5,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,6,7,3,5,1,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,6,7,3,5,2,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,6,7,5,1,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,6,7,5,1,3,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,6,7,5,2,1,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,6,7,5,2,3,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,6,7,5,3,1,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,6,7,5,3,2,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,7,1,2,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,2,3,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,2,5,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,2,5,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,2,6,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,2,6,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,3,2,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,3,2,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,3,5,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,3,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,3,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,3,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,5,2,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,5,2,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,5,3,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,5,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,5,6,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,6,2,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,6,2,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,6,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,6,3,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,1,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,1,3,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,1,5,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,1,5,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,1,6,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,1,6,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,3,1,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,3,1,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,3,5,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,3,5,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,3,6,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,3,6,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,5,1,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,5,1,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,5,3,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,5,3,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,5,6,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,5,6,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,6,1,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,6,1,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,6,3,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,6,3,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,6,5,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,6,5,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,3,1,2,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,3,1,2,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,3,1,5,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,3,1,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,3,2,1,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,3,2,1,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,3,2,5,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,3,2,5,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,3,2,6,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,3,2,6,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,3,5,1,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,3,5,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,3,5,2,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,3,5,2,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,3,5,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,3,5,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,3,6,1,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,3,6,1,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,3,6,2,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,3,6,2,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,3,6,5,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,1,2,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,1,2,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,1,3,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,1,6,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,1,6,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,2,1,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,2,1,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,2,3,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,2,3,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,2,6,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,2,6,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,3,1,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,3,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,3,2,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,3,2,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,3,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,3,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,6,1,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,6,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,6,2,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,6,2,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,6,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,6,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,1,2,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,1,2,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,1,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,1,3,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,1,5,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,2,1,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,2,1,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,2,3,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,2,3,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,2,5,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,2,5,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,3,1,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,3,1,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,3,2,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,3,2,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,3,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,3,5,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,5,1,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,5,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,5,2,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,5,2,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,5,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,5,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,1,2,3,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,1,2,3,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,1,2,4,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,1,2,4,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,1,2,6,3,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,1,2,6,4,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,1,2,6,7,3,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,1,2,6,7,4,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,1,2,7,3,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,1,2,7,3,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,1,2,7,4,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,1,2,7,4,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,1,2,7,6,3,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,1,2,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,1,3,2,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,1,3,2,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,1,3,4,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,1,3,4,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,1,3,6,2,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,1,3,6,4,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,1,3,6,7,2,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,1,3,6,7,4,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,1,3,7,2,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,1,3,7,2,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,1,3,7,4,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,1,3,7,4,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,1,3,7,6,2,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,1,3,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,1,4,2,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,1,4,2,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,1,4,3,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,1,4,3,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,1,4,6,2,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,1,4,6,3,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,1,4,6,7,2,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,1,4,6,7,3,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,1,4,7,2,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,1,4,7,2,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,1,4,7,3,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,1,4,7,3,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,1,4,7,6,2,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,1,4,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,1,6,2,3,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,1,6,2,3,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,1,6,2,4,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,1,6,2,4,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,1,6,2,7,3,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,1,6,2,7,4,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,1,6,3,2,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,1,6,3,2,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,1,6,3,4,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,1,6,3,4,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,1,6,3,7,2,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,1,6,3,7,4,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,1,6,4,2,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,1,6,4,2,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,1,6,4,3,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,1,6,4,3,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,1,6,4,7,2,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,1,6,4,7,3,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,1,6,7,2,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,1,6,7,2,4,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,1,6,7,3,2,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,1,6,7,3,4,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,1,6,7,4,2,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,1,6,7,4,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,1,7,2,3,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,7,2,3,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,7,2,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,7,2,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,7,2,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,7,2,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,7,3,2,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,7,3,2,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,7,3,4,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,7,3,4,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,7,3,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,7,3,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,7,4,2,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,7,4,2,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,7,4,3,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,7,4,3,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,7,4,6,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,7,4,6,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,7,6,2,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,7,6,2,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,7,6,3,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,7,6,3,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,7,6,4,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,7,6,4,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,1,3,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,2,1,3,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,2,1,4,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,2,1,4,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,2,1,6,3,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,2,1,6,4,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,2,1,6,7,3,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,2,1,6,7,4,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,2,1,7,3,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,2,1,7,3,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,2,1,7,4,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,2,1,7,4,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,2,1,7,6,3,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,2,1,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,2,3,1,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,2,3,1,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,2,3,4,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,2,3,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,2,3,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,2,3,6,4,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,2,3,6,7,1,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,2,3,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,2,3,7,1,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,2,3,7,4,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,2,3,7,4,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,2,3,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,2,3,7,6,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,2,4,1,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,2,4,1,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,2,4,3,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,2,4,3,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,2,4,6,1,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,2,4,6,3,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,2,4,6,7,1,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,2,4,6,7,3,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,2,4,7,1,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,2,4,7,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,2,4,7,3,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,2,4,7,3,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,2,4,7,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,2,4,7,6,3,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,2,6,1,3,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,2,6,1,3,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,2,6,1,4,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,2,6,1,4,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,2,6,1,7,3,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,2,6,1,7,4,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,2,6,3,1,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,2,6,3,1,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,2,6,3,4,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,2,6,3,4,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,2,6,3,7,1,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,2,6,3,7,4,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,2,6,4,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,2,6,4,3,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,2,6,4,3,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,2,6,4,7,1,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,2,6,4,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,2,6,7,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,2,6,7,1,4,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,2,6,7,3,1,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,2,6,7,3,4,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,2,6,7,4,1,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,2,6,7,4,3,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,2,7,1,3,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,7,1,3,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,7,1,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,7,1,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,7,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,7,3,1,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,7,3,1,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,7,3,4,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,7,3,4,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,7,3,6,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,7,3,6,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,7,4,1,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,7,4,3,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,7,4,3,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,7,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,7,4,6,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,7,6,1,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,7,6,3,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,7,6,3,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,7,6,4,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,7,6,4,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,1,2,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,3,1,2,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,3,1,4,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,3,1,4,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,3,1,6,2,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,3,1,6,4,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,3,1,6,7,2,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,3,1,6,7,4,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,3,1,7,2,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,3,1,7,2,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,3,1,7,4,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,3,1,7,4,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,3,1,7,6,2,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,3,1,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,3,2,1,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,3,2,1,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,3,2,4,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,3,2,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,3,2,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,3,2,6,4,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,3,2,6,7,1,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,3,2,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,3,2,7,1,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,3,2,7,4,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,3,2,7,4,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,3,2,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,3,2,7,6,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,3,4,1,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,3,4,1,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,3,4,2,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,3,4,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,3,4,6,1,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,3,4,6,2,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,3,4,6,7,1,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,3,4,6,7,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,3,4,7,1,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,3,4,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,3,4,7,2,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,3,4,7,2,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,3,4,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,3,4,7,6,2,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,3,6,1,2,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,3,6,1,2,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,3,6,1,4,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,3,6,1,4,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,3,6,1,7,2,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,3,6,1,7,4,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,3,6,2,1,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,3,6,2,1,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,3,6,2,4,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,3,6,2,4,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,3,6,2,7,1,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,3,6,2,7,4,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,3,6,4,1,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,3,6,4,1,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,3,6,4,2,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,3,6,4,2,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,3,6,4,7,1,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,3,6,4,7,2,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,3,6,7,1,2,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,3,6,7,1,4,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,3,6,7,2,1,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,3,6,7,2,4,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,3,6,7,4,1,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,3,6,7,4,2,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,3,7,1,2,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,7,1,2,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,7,1,4,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,7,1,4,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,7,1,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,7,1,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,7,2,1,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,7,2,1,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,7,2,4,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,7,2,4,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,7,2,6,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,7,2,6,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,7,4,1,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,7,4,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,7,4,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,7,4,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,7,4,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,7,4,6,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,7,6,1,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,7,6,1,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,7,6,2,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,7,6,2,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,7,6,4,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,7,6,4,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,1,2,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,4,1,2,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,4,1,3,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,4,1,3,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,4,1,6,2,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,4,1,6,3,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,4,1,6,7,2,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,4,1,6,7,3,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,4,1,7,2,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,4,1,7,2,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,4,1,7,3,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,4,1,7,3,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,4,1,7,6,2,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,4,1,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,4,2,1,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,4,2,1,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,4,2,3,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,4,2,3,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,4,2,6,1,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,4,2,6,3,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,4,2,6,7,1,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,4,2,6,7,3,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,4,2,7,1,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,4,2,7,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,4,2,7,3,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,4,2,7,3,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,4,2,7,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,4,2,7,6,3,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,4,3,1,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,4,3,1,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,4,3,2,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,4,3,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,4,3,6,1,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,4,3,6,2,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,4,3,6,7,1,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,4,3,6,7,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,4,3,7,1,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,4,3,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,4,3,7,2,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,4,3,7,2,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,4,3,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,4,3,7,6,2,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,4,6,1,2,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,4,6,1,2,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,4,6,1,3,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,4,6,1,3,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,4,6,1,7,2,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,4,6,1,7,3,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,4,6,2,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,4,6,2,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,4,6,2,3,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,4,6,2,3,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,4,6,2,7,1,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,4,6,2,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,4,6,3,1,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,4,6,3,1,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,4,6,3,2,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,4,6,3,2,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,4,6,3,7,1,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,4,6,3,7,2,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,4,6,7,1,2,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,4,6,7,1,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,4,6,7,2,1,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,4,6,7,2,3,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,4,6,7,3,1,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,4,6,7,3,2,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,4,7,1,2,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,7,1,2,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,7,1,3,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,7,1,3,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,7,1,6,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,7,1,6,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,7,2,1,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,7,2,3,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,7,2,3,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,7,2,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,7,2,6,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,7,3,1,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,7,3,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,7,3,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,7,3,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,7,3,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,7,3,6,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,7,6,1,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,7,6,1,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,7,6,2,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,7,6,2,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,7,6,3,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,7,6,3,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,6,1,2,3,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,1,2,3,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,1,2,4,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,1,2,4,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,1,2,7,3,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,6,1,2,7,4,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,6,1,3,2,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,1,3,2,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,1,3,4,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,1,3,4,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,1,3,7,2,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,6,1,3,7,4,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,6,1,4,2,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,1,4,2,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,1,4,3,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,1,4,3,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,1,4,7,2,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,6,1,4,7,3,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,6,1,7,2,3,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,1,7,2,4,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,1,7,3,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,1,7,3,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,1,7,4,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,1,7,4,3,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,2,1,3,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,2,1,3,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,2,1,4,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,2,1,4,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,2,1,7,3,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,6,2,1,7,4,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,6,2,3,1,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,2,3,1,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,2,3,4,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,2,3,4,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,2,3,7,1,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,6,2,3,7,4,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,6,2,4,1,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,2,4,1,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,2,4,3,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,2,4,3,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,2,4,7,1,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,6,2,4,7,3,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,6,2,7,1,3,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,2,7,1,4,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,2,7,3,1,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,2,7,3,4,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,2,7,4,1,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,2,7,4,3,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,3,1,2,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,3,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,3,1,4,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,3,1,4,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,3,1,7,2,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,6,3,1,7,4,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,6,3,2,1,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,3,2,1,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,3,2,4,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,3,2,4,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,3,2,7,1,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,6,3,2,7,4,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,3,4,2,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,3,4,2,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,3,4,7,1,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,3,7,1,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,3,7,2,1,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,3,7,2,4,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,3,7,4,1,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,3,7,4,2,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,4,1,2,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,4,1,2,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,4,1,3,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,4,1,7,2,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,6,4,1,7,3,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,6,4,2,1,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,4,2,1,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,4,2,3,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,4,2,3,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,4,2,7,1,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,6,4,2,7,3,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,4,3,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,4,3,2,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,4,3,2,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,4,3,7,1,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,6,4,3,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,6,4,7,1,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,4,7,1,3,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,4,7,2,1,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,4,7,2,3,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,4,7,3,1,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,4,7,3,2,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,7,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,6,7,1,2,4,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,6,7,1,3,2,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,6,7,1,4,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,6,7,1,4,3,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,6,7,2,1,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,6,7,2,1,4,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,6,7,2,3,1,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,6,7,2,3,4,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,6,7,2,4,1,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,6,7,2,4,3,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,6,7,3,1,2,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,6,7,3,1,4,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,6,7,3,2,1,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,6,7,3,2,4,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,6,7,3,4,1,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,6,7,3,4,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,6,7,4,1,3,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,6,7,4,2,1,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,6,7,4,2,3,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,6,7,4,3,1,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,6,7,4,3,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,7,1,2,3,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,2,3,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,2,4,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,2,4,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,2,6,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,2,6,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,3,2,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,3,2,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,3,4,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,3,4,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,3,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,3,6,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,4,2,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,4,2,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,4,3,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,4,3,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,4,6,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,4,6,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,6,2,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,6,2,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,6,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,6,3,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,6,4,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,6,4,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,1,3,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,1,3,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,1,4,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,1,4,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,1,6,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,1,6,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,3,1,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,3,1,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,3,4,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,3,4,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,3,6,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,3,6,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,4,1,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,4,1,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,4,3,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,4,3,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,4,6,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,4,6,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,6,1,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,6,1,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,6,3,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,6,3,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,6,4,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,6,4,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,1,2,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,1,2,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,1,4,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,1,4,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,1,6,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,2,1,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,2,1,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,2,4,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,2,4,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,2,6,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,2,6,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,4,1,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,4,2,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,4,2,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,4,6,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,6,1,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,6,2,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,6,2,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,6,4,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,6,4,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,1,2,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,1,2,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,1,3,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,1,3,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,2,1,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,2,1,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,2,3,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,2,3,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,2,6,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,2,6,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,3,1,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,3,2,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,3,2,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,3,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,3,6,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,6,1,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,6,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,6,2,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,6,2,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,6,3,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,6,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,1,2,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,1,2,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,1,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,1,3,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,2,1,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,2,1,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,2,3,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,2,3,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,2,4,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,2,4,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,3,1,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,3,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,3,2,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,3,2,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,3,4,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,3,4,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,4,1,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,4,2,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,4,2,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,4,3,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,4,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,1,2,3,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,2,3,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,2,3,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,2,3,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,2,3,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,2,3,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,2,4,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,2,4,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,2,4,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,2,4,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,2,4,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,2,4,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,2,5,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,2,5,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,2,5,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,2,5,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,2,5,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,2,5,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,2,7,3,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,2,7,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,2,7,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,2,7,4,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,2,7,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,2,7,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,3,2,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,3,2,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,3,2,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,3,2,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,3,2,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,3,2,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,3,4,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,3,4,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,3,4,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,3,4,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,3,4,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,3,4,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,3,5,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,3,5,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,3,5,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,3,5,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,3,5,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,3,5,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,3,7,2,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,3,7,2,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,3,7,4,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,3,7,4,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,3,7,5,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,3,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,4,2,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,4,2,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,4,2,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,4,2,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,4,2,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,4,2,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,4,3,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,4,3,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,4,3,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,4,3,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,4,3,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,4,3,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,4,5,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,4,5,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,4,5,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,4,5,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,4,5,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,4,5,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,4,7,2,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,4,7,2,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,4,7,3,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,4,7,3,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,4,7,5,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,4,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,5,2,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,5,2,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,5,2,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,5,2,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,5,2,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,5,2,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,5,3,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,5,3,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,5,3,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,5,3,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,5,3,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,5,3,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,5,4,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,5,4,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,5,4,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,5,4,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,5,4,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,5,4,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,5,7,2,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,5,7,2,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,5,7,3,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,5,7,3,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,5,7,4,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,5,7,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,7,2,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,2,3,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,2,4,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,2,4,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,2,5,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,2,5,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,3,2,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,3,2,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,3,4,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,3,4,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,3,5,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,3,5,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,4,2,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,4,2,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,4,3,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,4,3,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,4,5,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,4,5,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,5,2,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,5,2,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,5,3,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,5,3,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,5,4,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,5,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,1,3,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,1,3,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,1,3,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,1,3,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,1,3,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,1,3,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,1,4,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,1,4,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,1,4,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,1,4,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,1,4,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,1,4,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,1,5,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,1,5,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,1,5,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,1,5,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,1,5,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,1,5,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,1,7,3,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,1,7,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,1,7,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,1,7,4,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,1,7,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,3,1,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,3,1,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,3,1,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,3,1,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,3,1,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,3,1,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,3,4,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,3,4,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,3,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,3,4,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,3,5,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,3,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,3,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,3,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,3,5,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,3,7,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,3,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,3,7,4,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,3,7,4,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,3,7,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,4,1,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,4,1,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,4,1,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,4,1,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,4,1,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,4,1,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,4,3,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,4,3,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,4,3,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,4,3,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,4,5,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,4,5,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,4,5,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,4,5,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,4,5,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,4,7,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,4,7,3,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,4,7,3,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,4,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,4,7,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,5,1,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,5,1,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,5,1,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,5,1,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,5,1,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,5,1,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,5,3,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,5,3,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,5,3,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,5,3,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,5,3,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,5,3,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,5,4,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,5,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,5,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,5,4,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,5,7,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,5,7,1,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,5,7,3,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,5,7,4,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,5,7,4,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,7,1,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,1,3,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,1,4,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,1,4,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,1,5,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,1,5,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,3,1,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,3,1,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,3,4,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,3,4,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,3,5,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,3,5,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,4,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,4,1,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,4,3,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,4,3,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,4,5,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,5,3,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,5,3,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,5,4,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,1,2,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,1,2,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,1,2,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,1,2,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,1,2,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,1,2,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,1,4,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,1,4,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,1,4,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,1,4,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,1,4,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,1,4,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,1,5,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,1,5,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,1,5,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,1,5,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,1,5,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,1,5,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,1,7,2,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,1,7,2,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,1,7,4,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,1,7,4,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,1,7,5,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,1,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,2,1,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,2,1,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,2,1,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,2,1,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,2,1,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,2,1,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,2,4,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,2,4,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,2,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,2,4,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,2,5,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,2,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,2,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,2,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,2,5,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,2,7,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,2,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,2,7,4,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,2,7,4,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,2,7,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,4,1,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,4,1,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,4,1,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,4,1,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,4,1,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,4,1,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,4,2,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,4,2,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,4,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,4,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,4,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,4,2,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,4,5,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,4,5,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,4,5,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,4,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,4,5,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,4,7,1,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,4,7,2,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,4,7,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,4,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,4,7,5,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,5,1,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,5,1,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,5,1,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,5,1,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,5,1,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,5,1,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,5,2,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,5,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,5,2,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,5,2,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,5,2,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,5,2,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,5,4,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,5,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,5,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,5,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,5,4,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,5,7,1,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,5,7,1,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,5,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,5,7,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,5,7,4,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,5,7,4,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,7,1,2,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,1,2,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,1,4,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,1,4,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,1,5,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,1,5,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,2,1,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,2,1,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,2,4,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,2,4,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,2,5,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,2,5,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,4,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,4,1,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,4,2,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,4,2,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,4,5,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,5,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,5,2,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,5,2,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,5,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,5,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,1,2,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,1,2,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,1,2,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,1,2,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,1,2,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,1,2,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,1,3,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,1,3,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,1,3,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,1,3,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,1,3,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,1,3,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,1,5,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,1,5,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,1,5,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,1,5,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,1,5,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,1,5,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,1,7,2,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,1,7,2,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,1,7,3,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,1,7,3,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,1,7,5,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,1,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,2,1,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,2,1,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,2,1,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,2,1,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,2,1,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,2,1,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,2,3,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,2,3,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,2,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,2,3,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,2,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,2,3,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,2,5,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,2,5,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,2,5,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,2,5,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,2,5,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,2,7,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,2,7,3,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,2,7,3,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,2,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,2,7,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,3,1,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,3,1,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,3,1,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,3,1,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,3,1,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,3,1,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,3,2,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,3,2,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,3,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,3,2,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,3,5,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,3,5,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,3,5,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,3,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,3,5,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,3,7,1,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,3,7,2,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,3,7,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,3,7,5,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,5,1,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,5,1,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,5,1,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,5,1,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,5,1,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,5,1,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,5,2,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,5,2,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,5,2,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,5,2,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,5,2,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,5,3,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,5,3,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,5,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,5,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,5,3,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,5,3,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,5,7,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,5,7,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,5,7,2,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,5,7,2,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,5,7,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,5,7,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,7,1,2,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,7,1,2,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,7,1,3,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,7,1,3,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,7,1,5,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,7,1,5,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,7,2,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,7,2,1,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,7,2,3,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,7,2,3,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,7,2,5,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,7,3,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,7,3,1,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,7,3,2,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,7,3,2,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,7,3,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,7,3,5,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,7,5,1,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,7,5,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,7,5,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,7,5,2,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,7,5,3,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,7,5,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,1,2,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,1,2,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,1,2,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,1,2,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,1,2,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,1,2,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,1,3,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,1,3,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,1,3,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,1,3,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,1,3,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,1,3,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,1,4,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,1,4,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,1,4,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,1,4,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,1,4,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,1,4,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,1,7,2,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,1,7,2,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,1,7,3,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,1,7,3,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,1,7,4,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,1,7,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,2,1,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,2,1,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,2,1,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,2,1,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,2,1,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,2,1,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,2,3,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,2,3,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,2,3,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,2,3,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,2,3,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,2,3,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,2,4,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,2,4,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,2,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,2,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,2,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,2,4,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,2,7,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,2,7,1,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,2,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,2,7,3,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,2,7,4,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,2,7,4,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,3,1,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,3,1,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,3,1,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,3,1,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,3,1,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,3,1,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,3,2,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,3,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,3,2,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,3,2,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,3,2,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,3,2,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,3,4,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,3,4,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,3,4,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,3,7,1,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,3,7,1,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,3,7,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,3,7,4,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,3,7,4,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,4,1,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,4,1,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,4,1,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,4,1,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,4,1,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,4,1,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,4,2,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,4,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,4,2,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,4,2,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,4,2,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,4,3,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,4,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,4,3,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,4,3,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,4,7,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,4,7,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,4,7,2,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,4,7,2,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,4,7,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,4,7,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,7,1,2,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,1,2,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,1,3,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,1,3,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,1,4,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,1,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,2,3,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,2,3,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,2,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,2,4,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,3,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,3,2,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,3,2,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,3,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,3,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,4,1,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,4,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,4,2,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,4,3,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,4,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,1,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,2,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,2,4,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,2,4,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,2,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,2,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,3,2,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,3,2,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,3,4,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,3,4,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,3,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,3,5,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,4,2,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,4,2,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,4,3,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,4,3,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,4,5,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,4,5,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,5,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,5,2,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,5,3,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,5,3,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,5,4,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,5,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,1,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,1,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,1,4,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,1,4,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,1,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,1,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,3,1,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,3,1,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,3,4,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,3,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,3,5,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,3,5,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,4,1,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,4,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,4,3,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,4,3,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,4,5,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,4,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,5,1,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,5,1,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,5,3,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,5,3,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,5,4,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,5,4,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,1,2,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,1,2,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,1,4,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,1,4,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,1,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,1,5,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,2,1,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,2,1,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,2,4,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,2,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,2,5,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,2,5,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,4,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,4,1,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,4,2,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,4,2,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,4,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,5,1,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,5,2,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,5,2,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,5,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,1,2,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,1,2,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,1,3,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,1,3,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,1,5,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,1,5,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,2,1,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,2,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,2,3,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,2,3,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,2,5,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,2,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,3,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,3,1,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,3,2,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,3,2,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,3,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,5,2,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,5,2,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,5,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,5,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,5,1,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,5,1,2,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,5,1,3,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,5,1,3,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,5,1,4,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,5,1,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,5,2,1,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,5,2,1,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,5,2,3,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,5,2,3,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,5,2,4,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,5,2,4,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,5,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,5,3,1,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,5,3,2,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,5,3,2,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,5,3,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,5,3,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,5,4,2,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,5,4,2,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,5,6,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,5,8,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,7,5,8,4,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,5,6,8,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,7,8,4,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,6,7,8,4,3,2,1]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,6,4,5,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,4,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,4,5,3,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,6,5,4,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,7,5,4,8,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [7,5,6,4,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,7,4,8,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,6,7,4,8,3,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [7,6,4,5,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,7,4,5,8,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [7,5,4,6,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,5,6,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,4,7,8,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,6,4,7,8,3,2,1]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [6,4,5,7,8,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [7,8,6,5,3,4,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,5,3,4,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,8,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,5,8,3,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,7,5,8,3,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,5,7,8,3,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,6,7,8,3,4,2,1]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,4,3,5,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,3,4,5,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,5,4,3,6,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,4,5,6,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,5,4,3,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,7,5,4,3,8,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [7,5,6,4,3,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,6,7,4,3,8,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [7,6,4,5,3,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,7,4,5,3,8,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [7,5,4,6,3,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,4,5,6,3,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,4,7,3,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,4,5,7,3,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [7,6,5,3,4,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,4,3,5,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,3,4,5,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,4,3,6,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,3,4,6,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,4,5,6,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,6,5,4,2,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,5,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,6,5,8,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,7,5,8,4,2,3,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,5,6,8,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,6,7,8,4,2,3,1]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,6,8,4,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,4,5,2,3,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,4,5,6,2,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,5,4,8,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,6,4,8,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,7,4,8,2,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,6,4,5,8,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,7,4,5,8,2,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [7,8,6,5,3,2,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,5,3,2,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,5,3,2,4,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,6,5,8,3,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,7,5,8,3,2,4,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,7,8,3,2,4,1]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,6,8,5,2,3,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,5,2,3,4,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,5,6,2,3,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,5,8,2,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,7,5,8,2,3,4,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,5,7,8,2,3,4,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,6,7,8,2,3,4,1]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,6,4,3,2,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,4,3,2,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,4,3,2,5,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,6,3,4,2,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,3,4,2,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,3,4,2,5,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,6,8,4,2,3,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,4,2,3,5,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,6,3,2,4,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,8,3,2,4,5,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,6,2,3,4,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,2,3,4,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,2,3,4,5,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,5,4,3,2,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,4,2,5,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,2,3,5,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,5,4,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,5,4,3,2,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,5,6,4,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,7,4,3,2,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [7,6,4,5,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,4,5,3,2,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,4,5,6,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,5,3,4,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,6,3,4,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,7,3,4,2,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [7,6,4,3,5,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,3,4,5,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,4,3,6,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,5,3,6,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,3,4,6,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,4,5,6,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,5,4,2,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,5,4,2,3,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,5,6,4,2,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,7,4,2,3,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [7,6,4,5,2,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,4,5,2,3,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,5,4,6,2,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,5,6,2,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,5,3,2,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,5,3,2,4,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,5,7,3,2,4,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [7,6,5,2,3,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,6,2,3,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,4,3,2,5,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,6,4,2,3,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,3,2,4,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,3,2,4,5,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,6,2,3,4,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,2,3,4,5,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,5,4,3,2,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,3,5,2,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,4,2,3,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,5,2,3,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,3,2,4,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,2,3,4,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,3,2,5,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,2,3,5,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,2,4,5,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,3,4,5,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,5,6,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,5,8,4,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,7,5,8,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,5,6,8,4,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,7,8,4,3,1,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,6,7,8,4,3,1,2]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,8,4,5,3,1,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,4,5,6,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,5,4,8,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,6,4,8,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,7,4,8,3,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,6,4,5,8,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,7,4,5,8,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,5,4,7,8,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,6,4,7,8,3,1,2]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [7,8,6,5,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,5,3,4,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,5,3,4,1,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,5,8,3,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,7,5,8,3,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,5,6,8,3,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,7,8,3,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,6,7,8,3,4,1,2]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [6,7,8,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,6,3,4,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,8,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,5,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,3,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,5,4,3,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,6,4,3,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,7,4,3,8,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,6,7,4,3,8,1,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [6,7,4,5,3,8,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [7,5,4,6,3,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,4,7,3,8,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,4,5,7,3,8,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [7,6,5,3,4,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,6,3,4,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,4,3,5,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,3,4,5,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,4,3,6,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,4,5,3,6,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,3,4,6,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,4,5,6,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,5,4,2,1,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,5,6,4,2,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,5,8,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,7,5,8,4,2,1,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,5,6,8,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,7,8,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,6,7,8,4,2,1,3]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,6,5,4,8,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,7,5,4,8,2,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [7,5,6,4,8,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,7,4,8,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,6,7,4,8,2,1,3]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [7,6,4,5,8,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,4,6,8,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,5,6,8,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,8,6,5,4,1,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,5,4,1,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,5,6,4,1,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,5,8,4,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,7,5,8,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,5,6,8,4,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,7,8,4,1,2,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,6,7,8,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [6,7,8,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,5,4,6,1,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,5,6,1,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,5,4,8,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,7,5,4,8,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [7,5,6,4,8,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,7,4,8,1,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,6,7,4,8,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [7,6,4,5,8,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,7,4,5,8,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [7,5,4,6,8,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,5,6,8,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,4,7,8,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,6,4,7,8,1,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [6,4,5,7,8,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [7,8,6,5,3,2,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,5,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,5,3,2,1,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,5,6,3,2,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,7,5,8,3,2,1,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,5,6,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,7,8,3,2,1,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,6,7,8,3,2,1,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,6,5,2,3,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,5,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,5,2,3,1,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,5,6,2,3,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,5,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,7,5,8,2,3,1,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,5,6,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,7,8,2,3,1,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,6,7,8,2,3,1,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,6,5,3,1,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,5,3,1,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,8,5,6,3,1,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,5,8,3,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,7,5,8,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,5,6,8,3,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,7,8,3,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,6,7,8,3,1,2,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,6,5,2,1,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,5,2,1,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,5,2,1,3,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,5,6,2,1,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,5,8,2,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,7,5,8,2,1,3,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,5,6,8,2,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,7,8,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,6,7,8,2,1,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,6,5,1,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,5,1,2,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,5,1,2,3,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,5,6,1,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,5,8,1,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,7,5,8,1,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,5,6,8,1,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,7,8,1,2,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,6,4,3,2,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,4,3,2,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,4,3,2,1,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,6,3,4,2,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,8,3,4,2,1,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,6,8,4,2,3,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,4,2,3,1,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,3,2,4,1,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,6,8,2,3,4,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,2,3,4,1,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,4,3,1,2,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,6,3,4,1,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,8,3,4,1,2,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,6,4,2,1,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,8,4,2,1,3,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,6,4,1,2,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,4,1,2,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,4,1,2,3,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,6,3,2,1,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,3,2,1,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,3,2,1,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,6,2,3,1,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,2,3,1,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,2,3,1,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,6,3,1,2,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,3,1,2,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,3,1,2,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,6,2,1,3,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,8,2,1,3,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,6,1,2,3,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,1,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,1,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,5,3,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,4,5,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,5,2,3,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,2,3,4,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,3,2,5,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,4,2,5,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,3,4,5,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,4,3,1,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,3,4,1,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,4,5,1,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,4,2,1,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,4,1,2,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,5,1,2,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,3,2,1,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,3,1,2,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,2,1,3,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,1,2,3,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,3,2,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,4,2,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,2,3,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,2,4,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,3,4,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,3,1,2,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,4,1,2,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,2,1,3,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,1,2,3,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,2,1,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,3,1,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,1,2,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,1,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,5,4,3,2,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,5,6,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,4,5,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,4,5,3,2,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,5,4,6,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,5,6,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,5,3,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,5,3,4,2,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,5,6,3,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,4,3,5,2,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,4,3,6,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,5,3,6,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,4,5,6,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,5,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,5,4,2,3,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,4,5,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,4,5,2,3,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,5,4,6,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,5,6,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,5,3,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,5,2,3,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,5,2,3,4,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,5,6,2,3,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,4,3,2,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,4,3,2,5,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [6,7,3,4,2,5,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,6,4,2,3,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,4,2,3,5,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,6,3,2,4,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,3,2,4,5,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,6,2,3,4,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,2,3,4,5,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,5,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,3,5,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,5,2,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,3,2,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,2,3,5,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,3,4,5,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,5,4,3,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,5,6,4,3,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,4,5,3,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,5,6,3,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,5,3,4,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,6,3,4,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,3,4,5,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,5,3,4,6,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,5,4,2,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,4,5,2,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,4,6,2,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,5,6,2,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,5,4,1,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,6,4,1,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,4,5,1,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,4,6,1,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,5,6,1,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,5,3,2,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,5,2,3,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,5,2,3,1,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,5,6,2,3,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,6,3,1,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,5,2,1,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,5,2,1,3,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,5,6,2,1,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,5,1,2,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,5,1,2,3,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,5,6,1,2,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,4,3,2,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,4,3,2,1,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,6,3,4,2,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,3,4,2,1,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,6,4,2,3,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,4,2,3,1,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,6,3,2,4,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,3,2,4,1,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,6,2,3,4,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,2,3,4,1,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,6,4,3,1,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,3,4,1,2,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,6,4,2,1,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,3,2,1,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,3,2,1,4,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,6,2,3,1,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,2,3,1,4,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [6,7,3,1,2,4,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,6,1,2,3,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,1,2,3,4,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,5,4,3,2,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,5,3,2,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,3,5,2,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,4,5,2,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,4,2,3,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,3,2,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,2,3,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,2,3,5,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,3,4,5,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,4,3,1,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,3,4,1,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,5,2,1,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,5,1,2,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,3,2,1,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,2,3,1,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,3,1,2,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,1,2,3,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,3,2,1,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,3,4,1,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,3,1,2,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,4,1,2,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,1,2,3,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,2,1,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,3,1,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,1,2,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,1,3,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,2,3,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,8,7,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,7,6,4,3,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,7,8,6,4,3,2,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [6,5,8,7,4,3,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,6,8,7,4,3,2,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,7,6,8,4,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,8,7,6,5,3,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,7,8,6,5,3,2,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [4,6,8,7,5,3,2,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,7,6,8,5,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,6,7,8,5,3,2,1]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [4,5,8,7,6,3,2,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,5,7,8,6,3,2,1]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [6,5,4,8,7,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,6,5,8,7,3,2,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [5,7,6,4,8,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,7,6,5,8,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [4,6,7,5,8,3,2,1]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [5,4,7,6,8,3,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [3,8,7,6,5,4,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,7,8,6,5,4,2,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,6,8,7,5,4,2,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [3,7,6,8,5,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,5,8,7,6,4,2,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [3,7,6,5,8,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [4,3,8,7,6,5,2,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,5,4,3,8,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,7,6,4,3,8,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,7,6,5,3,8,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [2,8,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,7,8,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [2,6,8,7,5,4,3,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [2,7,6,8,5,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [5,7,6,4,3,2,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,7,8,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,4,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,4,6,7,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,5,4,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,5,4,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,5,6,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,5,6,7,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,5,7,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,3,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,3,5,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,3,6,5,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,3,6,7,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,5,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,5,6,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,6,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,6,5,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,7,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,4,6,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,4,6,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,4,7,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,6,4,5,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,6,5,4,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,3,4,5,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,3,4,5,7,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,3,5,4,7,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,3,5,6,7,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,3,5,7,6,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,3,7,5,6,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,3,7,6,5,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,3,5,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,3,5,7,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,3,6,5,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,3,6,7,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,3,7,6,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,5,3,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,5,6,3,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,5,6,7,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,6,5,3,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,7,6,5,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,5,4,3,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,5,4,3,7,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,5,4,6,7,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,5,4,7,6,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,4,5,6,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,4,6,5,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,5,4,6,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,5,6,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,2,3,4,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,3,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,3,5,6,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,4,3,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,4,3,6,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,4,5,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,4,5,3,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,4,6,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,4,6,5,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,5,4,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,5,4,6,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,6,4,5,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,6,5,4,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,2,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,2,5,6,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,4,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,4,2,6,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,4,6,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,5,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,5,4,6,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,5,4,6,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,6,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,6,4,5,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,6,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,6,5,4,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,3,2,6,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,3,6,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,3,6,5,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,3,5,4,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [2,6,8,1,3,4,5,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [2,7,1,8,3,4,5,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [2,7,8,1,3,4,5,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [2,8,1,3,4,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,6,7,8,1,2,4,5]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [3,7,1,2,8,4,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [3,7,8,1,2,4,5,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,8,1,2,4,5,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,5,7,8,1,2,3,6]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [4,5,8,1,2,3,6,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,6,7,1,8,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [4,6,7,8,1,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [4,6,1,8,2,3,5,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,6,8,1,2,3,5,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,7,1,2,8,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [4,7,1,8,2,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,7,8,1,2,3,5,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [4,7,1,2,3,8,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,1,8,2,3,5,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,1,2,3,5,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,6,7,1,2,8,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [5,6,1,7,8,2,3,4]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [5,6,7,1,8,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [5,6,1,8,2,3,4,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [5,6,8,1,2,3,4,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,1,7,2,8,3,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,7,1,2,8,3,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,1,7,8,2,3,4,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [5,7,8,1,2,3,4,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,7,1,2,3,4,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [5,1,8,2,3,4,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,1,2,3,4,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,1,7,2,8,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,7,1,2,8,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,1,7,8,2,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,7,1,8,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,1,7,2,3,8,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,7,1,2,3,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,1,2,7,3,8,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,1,2,7,8,3,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,1,7,2,3,4,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,7,1,2,3,4,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,1,8,2,3,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,8,1,2,3,4,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,1,2,8,3,4,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,1,2,3,8,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,1,8,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,2,8,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [1,7,8,2,3,4,5,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,1,2,3,8,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,2,3,4,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,2,3,4,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [1,8,2,3,4,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,3,2,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,4,5,2,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,7,4,3,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,7,5,1,3,8,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,8,1,5,4,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,5,1,3,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,6,1,7,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,1,6,7,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,7,1,6,8,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [4,7,6,1,8,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,7,6,8,1,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [6,4,7,2,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,4,6,2,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,2,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,2,7,8,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,5,8,1,2,7,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,6,8,1,7,2,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [5,6,8,7,1,2,4,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,7,8,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,7,8,1,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,7,1,8,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [8,9,5,6,3,4,10,1,2,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [9,7,6,5,4,3,2,10,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [4,9,10,1,7,8,5,6,2,3]=>[1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [7,10,5,9,3,8,1,6,4,2]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [9,7,5,10,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,10,1,9,8,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [9,10,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,3,5,1,2,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,6,1,2,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,6,1,2,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [4,2,8,1,3,5,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,2,8,1,3,4,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,4,8,1,2,3,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,2,8,1,3,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,3,8,1,2,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,8,1,2,3,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,8,1,2,3,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,2,8,1,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,8,1,2,4,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,8,1,2,3,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,4,6,1,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,4,6,1,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,5,6,1,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,2,6,8,1,3,4,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [6,2,4,8,1,3,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,4,8,1,2,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,5,8,1,3,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,5,8,1,2,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,5,8,1,2,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,3,7,8,1,2,4,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [5,4,7,8,1,2,3,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [6,2,7,8,1,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,3,7,8,1,2,4,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,4,7,8,1,2,3,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,2,4,8,1,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,4,8,1,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,5,8,1,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,5,8,1,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,6,8,1,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,7,2,5,1,3,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [4,8,2,5,1,3,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,2,4,1,3,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,3,4,1,2,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,8,2,6,1,4,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,2,6,1,3,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,3,6,1,2,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,4,6,1,2,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,2,4,1,3,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,3,4,1,2,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,3,5,1,2,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,4,5,1,2,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,8,2,7,1,4,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,2,7,1,3,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,3,7,1,2,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,2,7,1,3,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,3,7,1,2,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,4,7,1,2,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,2,7,1,3,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,3,7,1,2,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,5,7,1,2,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,2,4,1,3,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,5,1,3,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,5,1,2,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,6,1,2,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,3,2,5,1,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,2,5,1,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,2,6,1,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,2,6,1,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,3,6,1,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,2,6,1,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,3,6,1,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,3,5,1,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,3,2,8,1,4,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,2,8,1,3,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,3,8,1,2,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,2,8,1,3,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,3,8,1,2,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,4,8,1,2,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,3,2,8,1,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,2,8,1,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,3,8,1,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,3,8,1,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,4,8,1,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,2,8,1,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,4,8,1,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,7,2,5,8,1,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [4,7,3,5,8,1,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,7,2,4,8,1,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,7,3,4,8,1,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [3,7,2,6,8,1,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [4,7,3,6,8,1,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,7,2,6,8,1,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,7,4,6,8,1,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,7,3,4,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,7,3,5,8,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [3,8,2,5,7,1,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,2,5,7,1,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,3,5,7,1,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,2,4,7,1,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,8,2,6,7,1,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,3,6,7,1,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,2,6,7,1,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,3,6,7,1,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,4,6,7,1,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,2,5,7,1,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,3,5,7,1,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,4,5,7,1,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,2,4,6,1,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,4,6,1,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,5,6,1,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,5,6,1,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,3,2,5,8,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,4,3,5,8,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,5,2,4,8,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,4,2,7,8,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,4,3,7,8,1,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,5,2,7,8,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [7,4,2,5,8,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,3,5,8,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,2,6,8,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,2,6,8,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,3,6,8,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,2,4,8,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,3,5,8,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,6,2,5,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [4,3,8,2,6,1,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,3,8,2,6,1,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,4,8,2,6,1,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,4,8,3,6,1,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,3,8,2,5,1,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,8,2,5,1,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,8,3,5,1,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,8,2,4,1,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,8,3,4,1,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,3,8,2,7,1,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,3,8,2,7,1,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,4,8,2,7,1,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,4,8,3,7,1,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,3,8,2,7,1,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,8,2,7,1,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,8,3,7,1,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,8,2,7,1,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,3,8,2,5,1,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,8,3,5,1,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,8,2,4,1,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,8,3,4,1,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,8,2,6,1,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,8,2,6,1,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,8,2,6,1,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,8,3,6,1,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,8,4,6,1,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,6,8,2,5,1,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,6,8,3,5,1,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,3,2,6,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,4,2,6,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,3,2,5,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,5,3,2,8,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,5,4,2,8,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,5,4,3,8,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,5,3,2,8,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,4,2,8,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,3,2,8,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,4,3,8,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,5,2,8,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,5,3,8,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,8,3,7,2,6,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,3,7,2,6,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,4,7,2,6,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,4,7,3,6,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,3,7,2,5,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,4,7,3,5,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,5,7,2,4,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,5,7,3,4,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,3,6,2,5,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,6,2,5,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,6,3,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,4,3,8,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,3,8,2,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,4,8,2,7,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,4,8,3,7,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,4,3,8,2,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,4,8,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,3,8,2,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,4,8,2,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,5,8,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,4,3,2,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,5,4,2,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,2,3,6,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,2,5,3,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,2,6,3,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,2,5,6,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,4,2,3,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,5,2,3,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,8,2,3,7,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,1,4,2,6,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,8,2,6,3,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,5,2,6,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,4,5,2,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,4,8,2,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,4,6,2,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,8,5,2,3,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,8,6,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,6,5,2,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,4,5,6,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [2,8,1,3,4,7,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,1,3,6,4,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,1,3,7,4,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,1,3,6,7,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,1,5,3,4,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,1,6,3,4,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,1,5,3,7,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,1,6,3,7,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,1,5,6,3,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,1,5,7,3,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,1,7,6,3,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,1,5,6,7,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,3,1,2,4,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,1,2,6,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,1,2,3,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,1,2,3,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,8,1,2,3,7,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,4,1,2,6,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,8,1,2,6,3,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,1,2,7,3,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,7,1,2,6,3,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [5,8,1,2,6,7,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,3,1,5,2,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,1,8,2,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,1,6,2,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,1,5,2,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,1,8,2,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,1,6,2,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,8,1,5,2,3,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,7,1,5,2,3,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,8,1,5,2,7,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,3,1,5,6,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,8,1,5,6,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,4,1,5,6,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [2,8,4,1,3,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,1,3,7,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,5,1,3,4,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,1,3,4,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,5,1,3,7,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,6,8,1,3,7,4,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [2,8,4,1,6,3,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,1,7,3,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,5,1,6,3,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,5,1,7,3,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,7,8,1,6,3,4,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [2,8,4,1,6,7,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,5,1,6,7,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,3,4,1,2,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,5,1,2,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,7,1,2,4,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,3,8,1,2,7,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,5,4,1,2,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,8,4,1,2,3,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,7,4,1,2,3,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,8,5,1,2,3,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,7,5,1,2,3,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,8,4,1,2,7,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,5,1,2,7,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,3,4,1,6,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,8,1,6,2,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,5,1,6,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,8,4,1,6,2,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,1,6,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,5,4,1,6,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [2,8,4,5,1,3,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,6,1,3,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,7,4,8,1,3,5,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [2,8,6,5,1,3,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,7,8,5,1,3,4,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [2,7,8,6,1,3,4,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [2,8,4,5,1,7,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,6,1,7,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,6,5,1,7,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,3,4,5,1,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,4,6,1,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,8,5,1,2,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,8,6,1,2,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,6,5,1,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,4,5,1,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [2,8,4,5,6,1,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,5,7,1,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,7,6,1,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,5,6,1,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,3,4,5,6,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [2,8,4,5,6,7,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [8,1,2,3,4,5,6,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,1,2,3,4,7,5,9,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,1,2,3,9,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [8,1,2,5,9,3,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [8,1,2,9,6,3,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,1,4,2,3,5,6,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,1,7,2,3,4,5,9,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,4,9,2,3,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,1,9,6,2,3,4,5,8]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,1,8,9,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [8,1,4,5,6,2,3,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,1,4,9,7,2,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,1,9,5,6,2,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,1,9,7,6,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,1,4,5,6,7,2,9,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [2,9,1,3,4,5,6,7,8]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,9,1,3,4,5,8,6,7]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,9,1,3,4,8,5,6,7]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,9,1,3,8,7,4,5,6]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,9,1,3,6,7,8,4,5]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,9,1,8,3,4,5,6,7]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,9,1,8,6,7,3,4,5]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,9,1,5,6,7,8,3,4]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [8,3,1,2,4,5,6,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,9,1,2,3,4,6,7,8]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [8,6,1,2,3,4,5,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,9,1,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,7,1,2,3,4,5,9,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,9,1,2,3,8,4,6,7]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [8,6,1,2,3,7,4,9,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,4,1,2,9,3,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,9,1,2,6,3,4,7,8]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,9,1,5,2,3,4,7,8]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [8,7,1,9,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,7,1,6,2,3,4,9,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,9,1,5,6,7,2,3,4]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,9,4,1,3,5,6,7,8]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,9,5,1,3,4,6,7,8]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,9,7,1,3,4,5,6,8]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,9,8,1,3,4,5,6,7]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,9,4,1,6,3,5,7,8]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,9,4,1,6,3,8,5,7]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,9,8,1,7,3,4,5,6]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,9,5,1,6,7,8,3,4]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [8,5,4,1,2,3,6,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,9,4,1,2,3,5,7,8]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,9,5,1,2,3,4,7,8]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [8,7,5,1,2,3,4,9,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,9,1,2,3,4,5,8]=>[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [6,9,8,1,2,3,4,5,7]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,8,9,1,6,2,3,4,5]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,5,1,6,2,3,9,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [8,3,4,1,6,7,2,9,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,5,4,1,6,7,2,9,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [2,9,4,5,1,3,6,7,8]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,9,8,6,1,3,4,5,7]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,9,6,1,7,3,4,5]=>[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [2,9,6,5,1,7,8,3,4]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,3,8,9,1,2,4,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,8,4,6,1,2,3,9,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,8,9,6,1,2,3,4,5]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,6,5,1,2,3,9,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [8,3,9,6,1,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,3,6,5,1,7,2,9,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,6,4,5,1,7,2,9,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [2,8,9,5,7,1,3,4,6]=>[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [2,8,9,7,6,1,3,4,5]=>[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [2,9,7,5,6,1,8,3,4]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [8,3,4,5,6,1,2,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,3,4,7,6,1,2,9,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,3,9,7,6,1,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,3,7,5,6,1,2,9,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,9,4,5,6,1,2,3,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,9,7,5,6,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,7,4,5,6,1,2,9,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [2,9,4,5,6,7,1,3,8]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,9,4,5,6,8,1,3,7]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,9,4,5,8,7,1,3,6]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,9,4,8,6,7,1,3,5]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,9,8,5,6,7,1,3,4]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [8,3,4,5,6,7,1,9,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [2,9,4,5,6,7,8,1,3]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,6,7,3,8,2,5,1]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [4,6,7,3,8,2,1,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [4,6,7,3,8,1,2,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [4,6,7,3,8,1,5,2]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [4,6,7,3,8,5,1,2]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [4,6,7,3,8,5,2,1]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [5,6,7,8,3,1,4,2]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [5,6,7,8,1,3,4,2]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [4,6,7,1,8,3,5,2]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [4,6,7,1,8,3,2,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [5,6,7,8,1,3,2,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [4,6,7,2,8,1,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [4,6,7,2,8,3,1,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [4,6,7,2,8,3,5,1]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [4,6,7,2,8,5,3,1]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [4,6,7,2,8,5,1,3]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [4,6,7,2,8,1,5,3]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [4,6,7,1,8,2,5,3]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [5,6,7,8,1,2,4,3]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [5,6,7,8,2,1,4,3]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [5,6,7,8,2,4,1,3]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [5,6,7,8,2,4,3,1]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [5,6,7,8,1,4,2,3]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [4,6,7,1,8,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [4,6,7,1,8,5,3,2]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [5,6,7,8,1,4,3,2]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [5,6,7,8,4,1,3,2]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [6,5,8,7,3,4,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,8,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,3,8,4,5,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,2,4,5,1,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,4,5,2,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,1,8,4,5,2,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,1,8,3,2,5,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,1,3,2,5,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,3,1,5,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,2,8,3,1,5,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,3,8,2,1,7,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,3,2,1,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,2,6,1,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,6,2,1,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,5,8,7,1,2,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,8,1,7,2,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,3,1,2,6,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,2,8,1,3,4,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,2,1,3,4,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,3,1,5,2,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,4,5,1,2,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,4,1,2,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,4,1,8,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,7,4,1,8,2,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,7,4,1,2,8,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,7,5,1,2,8,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,8,1,5,2,7,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,5,1,2,7,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,4,1,2,7,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,4,1,7,2,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,6,7,1,2,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,6,1,7,2,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,1,6,7,2,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,7,1,6,8,2,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [4,7,6,1,8,2,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,7,6,8,1,2,3,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [6,4,7,1,8,2,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,4,6,1,8,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,1,6,8,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,1,7,8,2,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,3,1,8,7,2,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,3,1,8,6,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,8,1,6,2,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,4,8,1,2,7,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,5,8,1,2,7,3,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,6,8,1,7,2,3,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [5,6,8,7,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [7,5,8,6,1,2,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,7,8,6,1,2,3,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,7,8,1,6,2,3,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,7,1,8,6,2,4,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,8,1,7,6,2,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,7,1,6,2,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,7,6,1,2,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,7,5,1,2,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,4,7,3,8,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,4,7,3,5,8,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,4,7,2,5,1,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,4,8,3,5,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,4,2,5,1,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,2,5,1,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,3,8,2,1,5,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,3,2,1,5,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,2,1,5,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,3,8,2,1,5,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,3,7,2,1,5,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,3,7,2,1,8,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,4,7,2,8,1,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,5,7,8,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,5,8,7,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,3,7,2,1,8,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,3,7,2,1,4,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [7,8,4,2,6,1,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,2,1,6,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,3,8,2,1,7,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,3,8,2,1,4,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,3,2,1,4,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,3,8,2,1,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,5,6,1,2,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,1,6,2,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,4,6,2,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,1,8,4,7,2,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,1,8,3,2,7,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,1,3,2,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,1,2,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,4,6,1,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,3,1,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,1,3,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,2,3,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,1,8,2,3,7,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,2,8,1,3,7,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,2,8,3,1,7,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,3,8,4,7,5,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,6,8,4,7,5,1,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,6,8,4,7,1,5,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [2,6,8,3,1,7,5,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [2,6,8,1,3,7,5,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [6,3,8,1,2,7,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,8,1,7,2,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,8,7,1,2,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,6,8,7,3,4,1,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,6,8,7,2,1,4,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [3,6,8,1,2,7,5,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [3,6,8,2,1,7,5,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [4,6,8,2,7,1,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,6,8,3,7,5,1,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [7,1,3,2,5,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,4,2,5,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,2,8,1,4,3,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,2,8,1,4,3,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,2,7,1,4,3,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [7,2,6,1,4,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,5,1,4,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [4,1,8,2,5,3,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,1,4,3,8,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,5,3,8,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,1,8,2,6,3,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,8,2,6,3,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,2,6,1,5,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,7,1,5,3,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,2,8,1,5,3,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,1,3,2,6,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,3,2,8,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,4,8,1,3,2,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,8,1,4,2,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,4,2,8,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,1,5,2,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,3,8,1,5,2,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,3,8,1,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,2,8,3,7,1,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,8,3,7,2,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,8,3,7,2,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,1,7,3,8,2,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [7,3,8,2,6,1,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,6,3,8,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,7,3,8,2,4,1,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [5,7,3,8,2,4,6,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [7,4,2,5,8,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,2,5,8,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,6,2,8,1,3,4,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [7,4,5,3,8,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,5,3,8,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,7,4,8,3,2,5,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,4,8,3,2,1,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,4,1,8,3,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [7,4,5,3,1,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,7,1,5,8,3,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,3,7,8,1,4,2,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [7,5,8,2,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,5,8,1,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,1,5,8,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,7,4,3,8,1,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,7,4,8,3,1,5,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,4,8,3,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,6,7,3,8,4,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [5,6,7,3,1,8,4,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [6,4,7,1,8,3,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,7,8,3,1,4,5,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,2,8,4,5,1,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,2,8,4,1,3,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,1,7,4,8,3,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,6,7,3,2,8,4,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [6,1,7,4,2,8,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,7,2,1,8,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [7,5,8,2,1,3,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,7,3,1,8,2,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,7,1,5,2,8,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [7,4,2,5,1,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,7,4,2,1,8,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,7,4,2,8,3,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,7,4,2,8,3,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,7,3,8,2,1,4,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [3,7,8,1,4,6,2,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [5,7,3,8,2,6,1,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [3,6,7,8,5,2,1,4]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [3,6,7,8,5,2,4,1]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [6,4,7,8,2,5,3,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,4,7,8,2,1,5,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,3,7,8,1,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [6,7,2,8,5,1,3,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,4,1,7,8,2,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,6,2,7,8,4,3,1]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [5,6,7,2,8,4,3,1]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [5,6,7,2,1,8,4,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [6,4,7,1,8,2,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,7,8,5,2,4,1,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,3,5,1,4,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [4,6,7,8,1,5,3,2]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [5,6,1,7,8,4,3,2]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [5,6,7,1,8,4,3,2]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [7,5,3,8,2,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,4,5,8,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,5,8,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,8,2,1,4,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,3,8,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,5,8,3,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,7,8,3,5,2,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,8,4,2,1,3,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,3,4,2,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,4,2,1,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,3,2,7,1,8,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,7,3,8,2,5,4,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,4,7,8,5,2,3,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,4,5,8,6,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,1,5,8,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,3,8,6,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,8,2,1,6,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,1,3,8,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,3,1,7,8,2,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,7,8,2,1,5,4,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,3,8,5,1,4,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,4,7,8,5,3,1,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,8,5,4,2,1,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,6,2,4,1,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,2,6,5,1,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,1,5,4,8,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [1,8,6,7,4,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,1,6,8,4,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,7,8,2,4,5,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,1,7,2,8,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,8,2,7,1,5,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,7,2,1,4,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,7,1,2,4,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,6,1,4,2,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,1,3,2,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,7,8,2,1,3,4,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,7,2,8,1,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,6,2,8,3,1,5,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [5,6,8,2,3,1,4,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [6,5,8,3,2,1,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,5,8,3,1,2,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,3,8,2,1,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,4,3,1,8,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,1,3,8,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,7,2,1,8,3,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,7,1,2,8,3,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,7,1,8,2,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,6,1,8,3,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [1,7,8,6,5,3,4,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,8,1,6,5,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,1,7,2,5,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,1,2,7,6,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,2,1,7,6,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,1,8,2,7,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,1,8,7,2,5,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,1,8,6,5,2,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,1,8,2,3,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,4,1,2,8,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,1,2,8,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,5,2,8,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [1,8,5,3,7,4,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,4,1,6,2,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [1,8,6,7,3,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,1,6,8,2,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,1,8,2,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,7,1,2,8,3,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [4,8,1,6,2,3,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,1,7,2,3,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,1,2,7,3,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,1,2,7,3,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,1,8,2,7,4,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,1,8,7,2,4,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,8,1,7,2,3,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,7,1,2,3,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,7,1,2,3,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,6,1,2,3,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,8,1,6,2,3,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,1,8,6,2,4,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,7,8,6,3,4,5,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,6,3,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,7,4,3,2,1,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,8,3,2,7,5,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,7,6,3,2,8,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [5,7,4,2,1,3,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,6,3,8,7,1,5,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,8,1,6,7,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,7,6,8,1,4,3,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [3,7,6,5,8,2,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [3,6,8,5,7,2,4,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [3,8,2,4,6,7,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,7,8,6,2,1,5,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,7,4,8,1,6,5,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [4,6,8,2,1,7,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,6,1,8,7,2,5,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [2,7,6,8,5,4,1,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [3,7,8,1,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,7,8,6,1,3,5,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [6,8,1,4,5,7,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,7,4,2,6,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,8,7,4,1,6,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,7,8,4,5,1,2,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [5,6,3,8,1,7,2,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [7,6,1,4,5,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,1,8,4,7,6,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,8,3,5,6,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,8,4,2,5,6,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,5,8,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,3,8,4,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,3,8,2,1,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,3,8,4,2,6,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,3,8,2,5,6,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,2,3,5,6,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,2,1,5,6,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,1,3,5,6,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,8,2,4,3,6,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,3,2,4,1,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,8,1,4,2,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [7,1,8,4,5,3,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,7,8,4,5,3,1,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [3,8,7,4,2,6,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,7,8,4,3,6,2,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,6,3,8,4,2,7,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,8,3,6,2,1,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,5,3,8,2,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,3,6,2,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,8,3,2,6,1,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,5,8,4,7,6,2,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [5,8,2,4,7,6,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,1,6,4,5,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,7,3,6,1,8,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [6,8,3,5,2,1,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,5,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,8,4,1,5,6,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,1,2,5,6,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,5,2,4,8,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,3,2,8,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,4,3,5,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,3,5,4,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,3,7,2,8,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,3,7,4,5,8,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,7,2,4,5,8,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,1,7,4,8,6,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [3,8,7,4,5,2,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,7,5,4,8,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [5,7,1,4,8,6,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,6,3,8,1,2,7,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [3,7,8,4,1,6,2,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,5,8,2,4,7,6,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [7,5,4,3,1,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,3,5,8,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,5,8,4,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [2,8,5,7,4,6,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,5,8,7,1,4,6,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [6,4,3,8,1,7,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,8,3,7,6,5,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,3,8,7,6,4,2,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,5,3,1,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [1,8,6,5,3,7,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,6,1,8,7,3,5,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [6,8,7,3,1,4,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,2,8,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,6,2,8,4,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,1,6,8,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,7,1,6,3,2,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [6,1,7,5,3,2,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [7,6,5,3,2,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,3,2,8,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [3,8,6,2,4,7,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,3,6,2,4,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [3,8,2,5,7,1,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,8,3,6,2,1,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,7,8,2,1,6,5,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [5,4,8,2,7,1,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,8,1,5,7,2,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,3,7,1,6,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,2,6,1,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,8,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [5,1,6,8,2,7,4,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [6,5,2,8,1,7,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,2,7,1,8,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,8,2,7,6,4,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,2,8,7,5,4,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,6,2,1,8,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,7,2,8,5,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,5,1,8,2,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,7,1,8,6,2,5,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [7,8,3,1,6,5,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,1,7,5,4,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,1,8,6,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,2,6,3,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,8,5,2,3,1,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,6,2,3,1,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,2,6,3,1,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,1,5,2,8,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [1,8,5,2,7,3,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,6,7,2,3,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,1,6,8,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,8,7,2,1,3,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,5,8,2,3,1,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,2,8,3,1,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,4,2,1,8,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,1,2,8,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,7,2,1,8,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [7,6,1,8,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [1,7,8,6,2,3,4,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,8,1,6,2,3,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,1,7,2,3,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,8,2,1,7,3,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,1,8,2,7,3,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,1,8,7,2,3,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [1,8,7,6,2,3,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,3,7,5,1,8,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,5,2,7,1,8,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,7,4,6,2,8,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,8,2,4,6,7,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,5,4,8,1,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,7,4,2,8,6,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [7,4,1,3,5,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,8,4,1,7,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,4,3,8,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,7,4,1,8,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [4,7,2,3,8,5,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,8,2,1,7,5,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,1,3,6,5,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,7,8,5,4,3,1,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [3,8,6,7,2,4,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,3,8,7,4,2,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,8,7,2,1,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,3,5,8,2,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,6,2,8,7,4,1,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [7,8,5,6,1,4,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,8,6,5,4,7,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,8,3,6,1,7,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,7,3,5,2,1,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,1,4,2,5,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,3,2,6,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,5,4,6,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,2,7,4,8,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,3,7,5,2,8,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,7,2,3,4,8,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,1,7,3,8,4,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [7,6,1,3,5,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,8,3,7,4,2,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,8,7,4,1,2,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,8,1,3,5,2,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,8,7,3,2,6,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,8,6,3,1,5,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,1,6,3,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,1,2,7,6,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,4,2,5,7,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,8,3,5,2,7,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,5,3,2,8,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,5,2,4,8,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,6,5,4,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [3,7,5,6,8,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [5,7,1,6,8,2,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [7,5,2,6,3,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,2,8,3,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,6,2,8,4,3,1,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,7,2,8,1,5,3,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,8,7,1,5,4,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [5,7,8,6,3,4,1,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [7,1,8,5,4,3,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,7,8,4,5,3,6,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [5,7,3,8,1,4,6,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [6,5,3,8,4,1,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,5,8,4,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,1,8,3,6,5,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,3,8,2,5,1,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,3,8,4,2,5,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,4,3,8,2,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,8,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,8,2,3,5,1,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,2,1,4,6,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,1,3,4,5,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,1,6,5,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,1,6,5,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,6,1,4,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,5,6,7,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,5,8,6,1,4,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,8,2,4,1,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,8,5,3,4,7,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,5,3,4,1,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,5,3,4,1,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,6,1,4,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,5,3,6,1,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,5,6,7,4,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,5,3,4,7,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,5,3,4,6,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,5,3,4,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,5,2,8,3,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,2,8,3,1,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,5,8,2,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,8,6,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,8,2,1,3,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,6,8,7,3,4,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [6,5,2,8,3,7,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,1,6,8,4,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,2,8,4,5,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,6,8,2,3,1,7,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [6,5,8,2,4,3,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,8,2,4,3,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,5,2,8,3,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,2,8,3,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,1,6,8,7,3,2,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [7,1,6,8,4,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,7,8,6,3,4,2,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,1,8,3,6,5,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,1,8,3,6,2,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,1,6,5,8,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [3,7,5,6,8,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [6,1,2,5,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,1,6,5,8,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,2,6,3,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,5,6,1,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,2,1,5,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,1,6,5,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,3,8,1,7,2,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,8,3,4,5,1,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,5,4,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,1,2,3,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,1,5,3,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,6,4,1,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,5,6,4,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,6,5,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,1,2,5,8,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,3,1,8,4,2,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,3,7,5,8,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [4,3,8,7,5,6,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,7,2,8,6,4,1,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,8,1,7,6,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,7,5,8,3,6,1,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [2,6,8,5,3,1,4,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [5,6,7,3,8,4,1,2]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [5,2,8,1,4,7,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,7,1,4,2,3,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [5,7,6,4,3,8,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [6,3,4,5,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,2,4,1,8,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,1,4,2,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,7,5,8,1,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,8,7,6,3,4,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,6,2,3,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,2,1,5,6,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,6,3,5,7,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,1,2,5,3,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,6,5,2,4,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,5,6,1,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,3,7,8,2,1,6,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,6,7,8,5,1,4,2]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [3,7,6,8,5,2,1,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,7,8,5,1,2,4,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [4,1,8,6,2,3,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,7,8,6,3,5,1,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,8,7,6,5,4,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,1,6,4,5,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,5,1,4,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,6,7,5,1,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,7,8,6,5,4,1,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [7,4,2,5,1,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,3,6,1,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,6,2,4,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,7,4,1,2,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [7,6,4,2,3,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,7,6,3,8,1,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,7,4,2,3,8,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,7,2,6,1,8,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [6,4,7,5,2,8,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [7,4,8,5,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,8,2,6,3,7,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,8,6,1,2,7,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,6,2,4,7,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,8,4,3,7,1,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,5,3,7,1,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,8,5,7,1,2,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,5,7,1,3,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,6,2,7,1,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,3,8,5,6,1,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,5,8,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,4,7,3,8,1,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [7,4,6,3,8,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,1,6,8,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,3,7,1,8,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,3,7,4,8,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [4,7,1,5,8,6,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [7,5,1,2,8,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,3,8,1,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,1,8,6,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,1,8,5,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,7,2,8,1,6,3,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [6,4,7,8,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,3,7,8,5,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [3,6,8,2,7,1,4,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [4,3,8,7,1,2,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,3,8,7,1,2,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,4,8,7,1,2,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,5,8,7,1,2,4,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [4,6,8,2,7,1,3,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,7,1,8,6,2,3,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [7,5,8,6,4,1,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,8,4,7,5,1,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,7,1,6,2,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,8,7,6,1,3,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,7,6,1,2,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,7,6,1,2,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,5,3,8,2,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,8,7,4,5,1,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,7,1,4,5,8,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,7,3,8,1,2,6,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [2,7,8,4,1,6,5,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [7,1,8,4,2,6,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,1,4,8,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,3,1,8,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,4,3,8,1,5,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,3,8,4,1,6,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,3,6,2,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,6,3,4,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,7,3,4,5,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,7,3,5,2,4,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,5,2,1,8,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,7,3,1,2,8,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,4,8,6,2,7,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,8,3,5,2,7,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,5,2,3,6,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,2,1,7,3,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [1,8,6,3,7,2,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,7,3,4,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,1,7,3,4,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,6,1,7,2,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,1,5,7,2,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,2,8,3,7,1,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,3,7,1,2,8,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [7,2,6,1,8,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,1,5,8,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,3,4,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,1,8,3,7,2,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,3,8,1,7,2,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,6,8,2,3,5,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,7,8,2,4,6,1,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [6,7,3,8,2,5,1,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,4,7,8,2,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [3,7,8,1,6,2,4,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [7,2,8,6,1,3,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,7,8,3,6,2,4,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [5,4,8,7,6,1,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,8,3,7,5,1,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,6,2,5,1,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,5,1,3,6,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,8,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,8,3,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,1,3,2,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,1,3,2,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,8,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,3,8,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,4,1,3,2,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,1,3,2,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,1,3,6,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,1,4,6,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,8,3,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,8,3,2,6,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,8,3,2,5,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,3,8,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,3,8,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,4,8,7,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,3,1,8,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,5,4,1,8,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,5,1,4,8,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,1,3,2,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,4,1,3,2,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,3,8,2,7,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,3,8,7,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,3,1,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,5,1,3,8,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,1,8,3,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,1,8,4,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,8,1,4,5,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,6,8,1,3,2,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,3,7,8,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,4,3,7,2,8,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [7,4,8,3,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,8,3,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,8,3,1,2,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,8,4,1,6,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,4,8,1,7,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,3,8,1,2,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,4,7,1,8,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,5,3,7,8,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,4,3,7,2,8,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,8,2,7,4,1,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,3,7,8,2,1,4,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [7,6,1,2,5,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,1,2,5,4,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,6,8,3,1,4,7,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [6,1,8,3,2,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,8,7,4,2,1,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,5,1,6,8,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,2,1,8,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,7,2,8,1,3,6,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [7,3,8,6,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,8,2,4,3,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,5,3,4,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,6,3,4,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,7,3,5,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,6,3,5,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,5,3,6,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,4,3,6,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,3,4,6,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,3,4,7,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,4,3,7,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,5,3,7,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,6,3,7,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,7,3,6,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,6,3,8,5,1,7,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,6,3,8,5,1,2,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [5,6,8,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,6,8,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,6,8,4,3,1,7,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,6,8,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,7,8,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,7,8,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,7,8,4,1,3,6,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,6,8,4,2,1,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,6,8,2,4,1,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,6,2,8,5,1,7,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,6,2,8,5,1,3,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [5,6,8,2,4,1,3,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,6,8,4,2,1,3,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,7,8,4,1,3,2,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,7,8,4,1,2,6,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,7,8,4,1,2,3,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [6,7,8,1,5,2,3,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,1,5,2,4,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,1,5,3,2,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,1,3,5,2,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,7,8,2,1,6,3,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,7,2,8,1,6,3,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,7,2,8,1,6,5,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [5,7,8,2,1,6,4,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [6,7,8,1,3,5,4,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,1,5,3,4,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,1,5,4,3,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,1,5,4,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,1,4,5,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,1,4,5,3,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,1,4,3,5,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,1,3,4,5,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,7,8,2,1,4,6,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,7,2,8,1,5,6,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,6,2,8,3,1,7,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [5,6,8,3,2,1,7,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,7,8,3,1,4,6,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,7,8,3,1,6,4,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,7,8,3,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,7,3,8,1,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,7,3,8,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,7,3,8,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,6,3,8,2,1,7,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,6,3,8,2,1,5,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,7,3,8,1,5,2,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,7,3,8,1,2,6,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,7,3,8,1,2,5,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [5,7,8,3,1,2,4,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,7,8,3,1,2,6,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,7,8,3,1,4,2,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,6,8,3,2,1,4,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,7,8,2,1,4,3,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [6,7,8,1,3,4,2,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,1,4,3,2,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,1,4,2,5,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,1,4,2,3,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,1,2,5,3,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,1,2,5,4,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,1,2,4,5,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,1,3,2,5,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,7,8,2,1,3,6,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [6,7,8,1,3,2,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,1,2,4,3,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,1,2,3,5,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,2,8,5,1,6,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,8,5,4,1,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,8,5,4,3,1,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,5,6,1,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,6,5,7,3,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,5,3,7,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,3,5,6,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,3,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,2,8,5,1,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,4,8,2,5,6,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,8,5,2,1,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,8,5,1,3,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,3,7,5,2,1,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,6,1,8,7,2,4,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [6,3,5,8,2,7,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,8,4,2,3,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,2,5,8,3,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,1,3,8,4,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,5,6,8,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,5,1,8,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,7,1,6,3,8,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [7,2,1,4,3,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,4,1,2,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,3,2,1,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,3,2,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,3,2,5,4,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [1,8,3,2,5,4,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,5,2,3,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,3,5,1,6,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,1,5,6,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,1,6,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,6,1,5,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,6,5,1,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [1,8,5,4,3,2,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,6,4,3,7,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,5,7,4,3,1,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,4,7,5,1,3,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,3,7,1,5,4,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [2,6,8,4,3,7,1,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [2,7,8,4,3,6,5,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,8,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,7,8,5,6,3,4,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [2,6,8,5,7,3,1,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [4,6,7,5,8,3,1,2]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [1,8,6,5,7,3,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,6,7,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,7,5,6,8,2,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [1,8,4,6,2,7,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,2,6,7,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,7,3,2,6,8,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,7,3,2,8,6,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [1,8,3,2,7,6,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,7,2,6,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,7,4,8,2,6,5,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,7,5,8,6,2,4,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [1,8,5,7,6,2,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,6,7,8,5,4,1,2]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [2,6,8,7,5,4,1,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [7,4,6,1,8,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,8,3,1,7,5,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,5,2,1,6,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,8,4,3,1,7,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,6,8,4,1,7,5,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [7,5,6,1,8,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,7,5,6,1,8,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [6,7,5,1,8,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,8,4,1,7,5,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,7,5,3,1,8,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [1,8,4,2,6,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,4,1,6,7,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,7,1,6,5,8,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,8,2,6,5,7,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,5,1,2,6,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,7,1,5,8,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [7,6,1,5,8,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,6,5,8,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,1,6,8,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,2,1,5,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,6,4,8,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,2,5,8,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [1,8,3,5,7,6,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,5,2,6,8,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [3,6,8,2,5,7,1,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,8,3,5,7,6,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,8,2,3,5,7,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,7,1,3,5,8,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [9,8,10,5,6,7,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,8,10,4,5,6,1,2,3,7]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,7,10,5,6,8,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,7,10,4,5,8,1,2,3,6]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,6,10,4,5,7,1,2,3,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,7,10,3,4,8,1,2,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,6,10,3,4,7,1,2,5,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,6,10,5,7,8,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,6,10,4,7,8,1,2,3,5]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,5,10,4,6,7,1,2,3,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,6,10,3,7,8,1,2,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,5,10,3,6,7,1,2,4,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,6,10,2,7,8,1,3,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,5,10,2,6,7,1,3,4,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,7,8,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [7,3,1,4,2,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,1,5,6,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,7,8,5,6,1,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,7,8,5,6,2,1,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,7,8,4,2,6,1,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,7,8,2,4,5,1,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [4,6,5,8,7,1,2,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [7,4,1,2,3,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,2,1,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,7,8,2,3,1,5,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [4,7,8,3,2,1,6,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [5,6,4,8,1,7,2,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [5,6,3,8,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [5,2,7,8,6,4,1,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,7,1,8,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,7,1,2,8,6,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [4,6,8,1,2,7,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [6,8,7,1,5,3,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,7,3,5,1,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,1,6,3,5,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,3,6,5,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,6,5,2,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,7,2,8,6,1,5,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [7,8,2,3,6,5,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,2,7,1,3,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,7,2,5,3,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,2,4,8,7,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,4,8,1,7,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,8,7,2,3,5,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,2,1,7,3,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,4,2,7,1,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [1,8,7,5,3,4,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,8,4,7,2,1,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [1,8,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,8,7,3,2,5,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,1,7,3,2,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,4,7,1,2,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,4,1,7,2,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,4,7,1,6,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,5,7,1,6,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,5,7,1,2,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,5,1,7,2,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,8,1,3,7,2,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,2,8,1,7,5,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [1,8,7,4,5,3,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,8,5,7,2,1,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,5,2,7,1,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,8,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,3,5,1,8,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,4,1,8,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,3,1,8,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,5,1,8,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,4,1,8,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,2,1,8,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,5,1,2,8,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,4,1,2,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,1,2,5,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,1,3,4,8,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,5,6,8,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,1,6,8,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,1,5,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,3,1,5,8,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,4,1,8,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,2,5,1,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,3,1,4,8,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,1,4,8,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,4,1,3,8,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,1,3,8,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,1,4,8,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,4,6,8,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,3,5,8,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,2,4,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,4,5,2,3,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,2,8,6,7,3,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,2,8,5,7,3,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,2,7,3,4,1,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [4,1,8,6,7,3,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,1,8,5,7,3,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,2,7,3,5,1,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,2,8,4,7,3,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,3,6,2,5,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,8,5,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,8,5,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,8,4,6,2,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,3,8,4,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,1,8,4,6,2,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,8,5,6,2,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,3,8,4,5,1,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,6,2,8,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,8,5,6,1,3,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,3,6,2,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,5,4,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,1,6,3,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,5,6,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,4,2,3,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,1,4,2,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,5,3,1,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [3,5,8,4,7,6,1,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,7,3,6,1,4,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [6,1,7,5,2,4,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [4,6,7,8,3,5,1,2]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [2,7,1,8,5,3,4,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [3,7,6,8,5,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [4,3,8,5,6,7,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,2,8,1,6,3,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,1,8,3,6,2,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,7,8,6,3,2,1,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,7,8,6,1,3,4,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [7,6,5,8,1,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,3,4,8,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,6,4,8,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,1,4,8,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,6,5,3,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,2,5,6,3,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,2,7,1,8,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,6,7,4,2,8,1,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [5,7,6,4,1,8,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [6,7,1,5,2,8,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,1,5,2,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,7,5,3,8,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [7,1,5,3,4,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,1,5,3,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,6,4,1,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,5,4,3,1,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,5,2,4,3,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,6,1,2,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,4,2,5,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,8,1,4,2,5,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,1,3,7,5,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,1,3,5,6,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,1,6,4,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,2,6,5,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,6,3,1,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,4,1,5,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,3,5,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,8,1,2,3,4,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,1,8,2,3,6,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,2,3,7,6,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,2,8,1,3,7,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,8,2,3,5,4,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,2,4,1,5,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,3,1,2,4,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,2,8,4,6,1,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,8,6,5,3,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,2,8,5,7,6,3,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,1,8,6,7,5,3,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,3,8,7,6,2,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,4,7,6,2,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,4,3,6,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,4,8,3,1,7,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,2,8,7,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,8,7,2,5,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,4,8,1,2,7,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,8,5,1,2,3,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,5,2,4,3,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,5,3,1,2,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,2,8,1,3,7,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [2,6,8,3,1,5,7,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [2,8,6,4,1,5,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,3,7,4,5,1,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [4,7,2,3,6,8,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [5,7,4,6,2,8,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,7,3,4,6,1,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [5,3,8,4,6,1,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,8,3,6,7,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,3,1,7,2,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,2,8,4,7,1,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,4,7,3,1,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,6,8,3,1,7,5,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [6,3,8,2,7,1,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,3,1,8,2,4,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,3,8,1,2,6,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,1,8,4,2,7,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,8,5,3,1,7,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,3,2,7,8,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [4,5,7,8,3,1,6,2]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [4,7,2,5,8,1,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,8,2,4,6,7,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,3,5,6,1,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,7,3,4,1,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,7,3,4,1,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,4,7,1,5,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,4,7,2,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,4,8,7,2,6,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,4,8,7,1,6,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,3,8,7,6,1,2,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,8,7,6,1,2,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,3,7,5,1,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,4,7,5,1,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,5,8,7,6,1,2,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [4,5,8,7,6,1,2,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,5,8,7,1,6,3,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,5,8,7,2,6,3,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,5,8,2,7,6,4,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [3,5,8,1,7,6,4,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,8,4,7,1,5,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,4,7,2,5,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,2,7,5,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,3,1,7,5,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,2,1,7,5,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,2,8,7,1,6,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,2,8,7,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,2,8,1,7,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,3,8,1,7,6,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,3,8,2,7,6,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,8,3,2,7,5,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,3,1,7,5,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,2,7,1,5,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,7,2,1,4,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,7,1,2,4,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,1,2,7,5,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,2,3,7,5,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,2,8,3,7,6,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,1,8,3,7,6,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,1,8,7,2,6,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,8,7,2,6,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,1,7,2,5,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,1,2,7,5,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,1,3,7,5,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,2,3,7,5,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,1,5,4,2,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,3,5,2,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,2,5,1,8,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,1,8,7,3,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,6,2,1,8,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,1,6,2,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,8,3,2,4,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,8,7,3,2,4,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,6,4,2,7,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,2,6,3,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,1,8,3,2,6,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,1,8,6,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [1,8,7,3,2,6,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,1,8,7,6,2,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,7,8,6,2,4,1,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,1,7,8,6,2,4,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [6,1,4,8,3,5,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,1,8,6,3,4,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,4,5,3,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,4,5,3,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,1,5,2,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,3,5,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,5,8,3,7,2,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,8,7,6,2,4,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,4,8,6,3,1,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,1,6,2,4,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,3,5,8,2,1,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [2,8,6,7,1,3,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,4,5,6,3,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,5,6,2,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,5,8,2,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,5,6,2,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [2,7,6,8,1,3,5,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [2,7,6,8,4,3,1,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [7,3,5,1,2,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,1,6,3,4,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,4,1,8,3,2,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [2,8,6,7,4,3,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,6,1,7,3,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,6,1,4,3,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [9,1,2,3,4,5,6,7,10,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [2,10,1,3,4,5,6,7,8,9]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [1,8,6,5,2,7,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,8,5,4,1,3,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,5,4,2,1,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,6,2,4,1,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,2,6,5,1,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,1,6,5,2,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,8,2,6,4,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,8,2,4,7,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,8,3,2,7,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,8,2,7,1,6,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,7,2,1,6,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,7,1,3,5,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,6,1,5,3,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,8,7,2,6,5,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,7,8,2,5,6,3,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,6,8,1,4,3,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,8,3,2,1,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,5,8,3,1,4,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,3,8,1,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,3,1,2,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,1,4,2,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,1,2,4,5,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,6,1,2,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,8,1,2,3,5,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,1,2,4,3,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,1,3,2,4,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,2,1,3,5,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,1,2,3,4,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,3,8,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,4,5,1,8,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,4,7,6,8,1,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,3,7,8,6,1,2,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [3,8,4,5,7,1,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,3,1,5,7,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,2,7,8,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [6,7,3,1,5,8,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,7,2,1,8,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,7,2,8,1,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,8,2,1,4,3,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,1,2,8,4,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,7,1,3,4,8,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,1,7,8,2,3,6,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,1,8,7,2,3,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,8,1,2,7,4,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,8,2,3,4,5,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,2,7,4,8,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,2,7,4,8,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,7,2,3,8,6,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,7,2,3,8,1,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,7,3,2,8,1,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,7,3,2,8,6,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,7,3,8,2,1,5,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,3,8,1,2,5,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,7,3,1,8,2,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,7,1,3,8,2,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,1,7,4,8,2,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,1,7,4,8,6,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,7,1,3,8,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,7,3,1,8,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,7,3,8,1,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,3,8,5,2,1,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,8,3,1,4,2,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,1,8,3,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,1,7,8,4,5,2,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,1,7,8,4,2,5,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,7,1,8,3,2,5,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,7,2,1,8,3,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,7,2,8,1,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,2,8,3,1,5,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,2,8,3,5,1,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,2,7,8,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,2,7,8,4,1,5,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,2,7,8,1,4,5,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,2,7,1,8,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [6,2,7,8,1,5,4,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,2,7,8,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,2,7,8,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,7,2,8,5,3,1,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,7,2,1,8,6,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,7,1,2,8,6,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,1,7,2,8,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [6,1,7,8,2,5,4,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,7,1,8,2,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,8,2,4,1,3,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,2,4,3,1,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,1,8,5,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,1,7,8,5,2,4,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,1,7,8,5,4,2,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,7,1,8,5,3,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,8,4,1,3,2,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,3,8,5,2,7,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,2,8,4,7,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,4,5,8,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [3,8,4,7,5,2,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,1,4,7,2,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,3,8,4,2,7,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,6,8,7,1,4,2,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [4,3,8,5,6,7,2,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,8,1,7,6,2,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,3,7,5,2,8,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,5,2,7,4,8,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,7,1,4,8,3,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,8,1,4,6,7,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,3,7,4,2,8,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,3,8,7,4,1,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,6,1,8,7,3,2,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [7,5,3,6,4,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,6,3,5,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,7,4,3,5,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,7,3,6,4,2,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [7,5,4,1,8,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,7,4,2,1,8,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [6,5,8,4,2,7,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,8,2,6,4,7,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,8,6,2,5,7,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,8,5,3,2,6,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,3,1,7,2,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [1,8,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,8,1,6,3,2,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,8,1,7,3,5,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,6,1,7,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,1,3,7,2,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,2,8,5,7,3,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,1,7,6,8,3,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [3,7,1,5,8,4,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [6,7,3,1,8,4,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [7,6,1,8,4,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,2,8,3,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,6,1,8,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,1,5,8,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,7,5,6,8,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [6,5,4,8,2,7,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,2,8,7,3,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,1,8,7,4,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,1,8,3,7,6,2,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,4,8,1,7,2,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,5,8,3,2,6,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,6,8,2,4,7,5,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [5,7,3,8,2,6,4,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [5,4,6,8,2,7,3,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [5,2,6,8,7,3,4,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,7,2,8,6,3,5,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,8,1,7,2,5,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [7,2,8,6,4,3,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,8,6,5,3,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,1,6,8,7,4,2,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [6,8,4,7,5,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,7,2,5,4,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,8,7,6,4,5,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,7,6,5,3,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,7,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,8,6,7,3,4,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,6,7,3,5,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,6,7,4,5,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,7,4,6,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,5,7,4,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,5,7,3,6,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,8,3,6,4,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,3,7,4,6,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,7,4,8,5,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [4,7,3,8,5,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,7,2,8,5,6,1,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,7,1,8,5,6,2,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,7,1,8,5,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,7,2,8,5,6,1,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,7,3,8,5,6,1,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [2,7,4,8,5,6,1,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [5,8,2,7,4,6,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,2,6,4,5,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,6,4,5,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,1,7,4,5,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,1,7,4,6,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,8,5,6,1,7,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,5,6,2,7,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,8,1,7,3,6,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,1,7,3,6,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,1,7,3,5,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,2,6,3,5,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,2,7,3,5,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,2,7,3,6,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,2,7,3,6,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,7,3,8,4,6,1,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [3,7,2,8,4,6,1,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,7,1,8,4,6,2,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [1,8,4,7,3,6,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,4,7,3,6,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,4,7,2,6,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,5,7,2,6,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,5,7,2,6,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,5,7,3,6,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,5,7,3,6,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,6,7,3,5,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,6,7,3,5,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,6,7,2,5,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,6,7,2,5,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,6,7,2,4,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,5,7,1,4,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,6,7,1,4,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,6,7,1,5,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,5,7,1,6,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,8,4,7,1,5,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,4,6,1,5,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,6,1,5,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,3,7,1,5,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,8,3,7,1,6,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,4,7,1,6,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,1,6,2,7,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,1,6,2,7,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,8,1,5,2,6,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,5,1,6,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,2,5,1,7,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,2,6,1,7,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,2,6,1,7,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,7,4,8,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,4,5,2,8,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,7,4,6,3,8,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,7,4,8,3,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [6,8,4,5,3,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,4,6,3,7,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,6,4,8,3,7,1,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [5,6,3,8,2,7,1,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [5,6,4,8,2,7,1,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [5,8,4,6,2,7,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,4,5,2,7,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,4,5,2,6,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,4,6,2,3,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,6,4,8,2,3,1,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [5,6,3,8,2,4,1,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,6,3,8,2,5,1,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,8,3,6,2,5,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,3,6,2,4,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,3,5,2,4,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,3,5,2,4,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,5,2,6,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,8,3,6,2,7,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,3,6,2,7,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,6,3,8,2,7,1,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,7,3,6,2,8,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,7,3,8,2,6,1,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [5,7,4,8,2,6,1,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [5,7,3,6,2,8,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [6,7,3,5,2,4,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [6,7,3,5,2,8,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,7,4,8,2,5,1,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,5,8,2,4,1,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,8,5,7,2,3,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,7,4,8,2,3,1,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,3,8,2,4,1,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,3,4,2,8,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,7,3,4,2,8,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,7,4,8,2,3,1,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [5,8,4,7,2,3,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,4,7,2,3,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,4,6,2,3,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,6,2,4,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,3,7,2,4,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,3,7,2,4,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,3,7,2,5,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,7,3,8,2,5,1,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,7,3,5,2,8,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,8,3,5,2,7,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,3,4,2,7,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,3,4,2,7,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,3,4,2,6,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,3,4,2,5,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,3,4,2,6,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,3,5,2,6,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,7,5,2,1,8,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,8,5,2,1,7,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,6,8,1,7,3,2,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,7,8,1,6,3,5,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [7,4,8,1,6,5,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,4,8,1,3,7,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,4,8,1,7,5,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,6,8,7,2,1,3,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [6,3,2,8,7,4,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,3,2,8,6,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,8,5,2,4,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,7,8,6,2,3,1,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,8,7,6,3,2,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,7,5,3,2,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,4,2,3,7,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,8,4,2,6,5,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,8,7,2,6,3,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,6,2,7,3,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,8,6,4,5,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,8,1,6,7,5,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,7,1,6,8,2,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [4,7,6,2,8,1,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [6,7,4,2,8,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,8,4,2,7,5,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,6,7,3,1,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,7,5,8,1,3,4,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,6,5,8,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,4,3,8,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,2,6,8,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,6,8,1,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,7,8,1,2,4,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,2,8,7,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,2,7,5,4,8,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,1,8,3,4,5,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,1,5,3,4,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,4,3,5,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,8,2,4,7,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,2,8,4,1,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,8,1,6,3,2,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,3,8,5,2,1,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,8,2,6,1,5,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,6,7,2,1,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,2,5,8,3,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,2,3,8,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,1,2,3,6,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,1,3,8,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,8,2,4,1,3,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,1,6,3,2,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,5,8,7,2,4,1,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,8,1,3,6,4,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,8,2,3,4,1,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,1,8,3,2,4,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [8,9,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,7,9,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,7,6,9,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,7,6,5,9,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [8,7,6,5,4,9,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [8,7,6,5,4,3,9,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [8,7,6,5,4,3,2,9,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [9,10,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,9,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [9,8,10,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,6,7,9,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,8,7,10,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,7,5,6,9,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [9,8,7,6,10,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [8,7,6,4,5,9,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [9,8,7,6,5,10,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [8,7,6,5,3,4,9,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [9,8,7,6,5,4,10,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [8,7,6,5,4,2,3,9,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [9,8,7,6,5,4,3,10,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,7,6,5,4,3,1,2,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [9,8,7,6,5,4,3,2,10,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [7,2,3,1,8,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,1,8,3,4,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,8,3,5,1,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,2,4,8,5,7,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,4,7,5,8,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [7,8,2,1,4,3,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,4,2,3,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,7,2,3,1,6,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [7,5,4,2,6,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,8,4,1,3,2,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [1,8,7,4,3,2,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,3,8,1,2,7,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,1,8,3,2,6,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [1,8,3,2,4,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,2,3,1,4,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [3,7,5,1,8,2,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [5,7,2,8,1,3,4,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [5,2,8,7,1,3,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,3,7,1,8,2,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,8,7,2,1,3,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,8,7,3,4,2,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,2,8,1,3,4,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [9,1,2,3,4,10,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [9,1,10,2,3,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [10,1,2,11,3,4,5,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,7,8,5,6,2,1,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [5,7,8,4,2,6,1,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [6,7,8,4,2,5,1,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,6,3,8,2,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,7,8,3,2,1,5,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,7,8,3,2,1,6,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [2,7,8,4,3,5,6,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [3,7,8,4,2,5,1,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [4,7,8,3,2,1,5,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [5,7,8,3,2,1,4,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [7,6,3,8,2,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,6,3,8,2,1,4,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [7,4,3,2,1,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,4,3,2,1,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,6,3,8,2,1,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [7,5,3,2,8,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,4,2,8,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,4,2,8,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,6,5,8,7,2,1,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [7,5,3,2,6,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,3,2,1,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,3,2,1,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,3,8,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,3,8,5,2,1,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,7,2,4,8,5,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [7,2,1,4,6,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,1,4,6,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,4,1,5,6,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,1,5,2,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,1,5,3,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [1,8,4,5,3,2,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,6,3,7,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,6,3,7,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,6,7,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,6,7,3,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,2,6,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,6,2,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,6,7,2,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,6,7,4,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,6,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,8,2,4,3,7,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,1,5,8,3,2,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [3,8,2,4,7,1,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,6,8,2,4,7,1,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [3,7,1,5,8,2,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [7,3,2,4,6,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,8,3,2,4,6,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,1,5,7,8,3,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,7,6,1,8,3,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,8,6,1,7,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,1,5,8,7,3,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [3,8,6,5,1,7,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,5,1,7,8,4,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,5,1,8,4,2,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,4,2,3,8,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,1,6,4,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,2,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [3,6,8,5,1,7,4,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [7,8,5,1,6,4,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [3,8,5,1,7,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,7,5,1,8,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [6,5,7,3,1,8,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,4,7,8,3,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [6,4,3,8,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,8,4,3,6,1,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,4,8,3,6,1,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,4,8,2,1,6,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,8,3,2,6,1,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,2,5,1,6,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,3,2,6,7,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,3,8,2,6,7,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,3,2,7,8,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,2,1,8,5,3,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,8,4,2,1,7,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,5,8,2,1,7,4,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [4,8,3,7,2,1,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,3,2,7,1,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,3,2,8,1,4,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,8,3,2,1,5,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,3,8,2,1,5,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [8,7,6,4,5,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [1,9,8,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [8,7,5,4,6,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,7,4,6,5,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [1,9,8,6,5,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [1,9,8,5,7,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [6,5,8,1,3,2,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,5,8,6,3,2,7,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [6,5,8,7,3,1,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,7,2,8,4,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [2,8,4,6,1,5,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,3,1,8,4,5,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,7,8,4,1,5,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,1,7,8,2,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [3,6,7,8,4,2,5,1]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [7,6,1,8,4,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,6,8,7,3,2,1,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [2,8,3,7,1,6,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,2,8,7,3,6,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,2,1,8,4,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,2,7,8,1,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [7,2,5,8,3,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,8,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [2,8,3,5,4,1,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,5,3,1,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,4,8,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,3,5,8,2,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [2,7,6,8,4,3,5,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [5,7,1,8,3,4,6,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [3,7,5,8,1,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [4,6,8,5,1,3,2,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [5,6,8,1,4,3,2,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [7,5,8,6,3,4,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,8,4,1,5,6,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,1,8,3,5,6,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,6,8,4,1,3,2,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,6,8,1,5,3,2,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,7,1,8,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,7,3,8,4,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [7,1,3,8,4,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,7,8,4,3,6,1,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [2,8,7,4,1,6,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,5,4,3,1,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,5,8,4,2,3,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,3,2,8,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,8,2,5,3,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [2,8,4,3,5,1,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,3,4,5,1,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,2,8,4,5,3,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,2,3,8,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [2,8,1,5,3,4,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,4,2,5,3,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,1,5,2,4,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,1,5,4,7,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,1,4,3,7,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,1,2,8,7,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,1,2,8,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,6,1,4,2,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,6,2,8,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,7,1,4,2,8,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,3,7,1,4,8,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [3,7,8,1,5,2,4,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [7,1,2,8,5,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,2,8,4,3,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,1,2,8,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,6,1,3,2,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,1,3,2,4,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,8,1,3,7,2,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,8,1,7,3,5,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,2,8,1,7,3,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [2,8,1,7,4,3,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,1,2,8,4,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [2,8,1,7,5,3,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,6,1,4,7,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,1,2,8,6,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,1,2,8,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [3,7,4,8,1,6,2,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [4,2,8,1,7,6,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [2,8,1,7,6,4,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,8,3,4,1,5,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,4,1,6,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,3,4,1,7,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,7,3,4,1,8,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,7,3,4,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,8,3,4,1,7,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,3,4,1,6,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,3,4,1,5,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,7,3,4,1,5,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [5,6,2,8,3,4,1,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,6,2,8,3,5,1,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,8,3,5,1,6,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,3,5,1,7,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,7,3,5,1,8,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [5,6,3,8,4,7,1,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [5,6,2,8,4,7,1,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [5,6,2,8,3,7,1,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,6,2,8,3,7,1,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [6,8,2,4,5,7,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,3,8,4,5,7,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,8,7,4,3,6,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,8,7,4,3,6,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,8,3,5,1,7,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,1,8,4,7,6,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,8,1,5,6,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,1,3,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,3,6,1,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,3,6,1,2,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,7,4,1,6,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,1,2,5,6,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,7,4,5,1,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,8,3,6,2,4,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,3,6,2,1,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,4,2,6,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,6,8,4,5,7,1,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [6,1,8,4,5,7,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,8,3,5,1,7,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,3,6,1,2,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,1,8,2,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,2,1,5,6,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,1,4,7,6,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,3,1,6,2,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,7,2,3,5,4,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,7,1,3,5,8,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,8,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,3,7,6,1,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,4,7,6,1,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,4,7,1,6,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,3,1,7,6,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,2,1,7,6,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,7,1,2,8,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,7,4,5,8,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,4,7,6,8,1,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,3,8,7,6,1,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,3,7,8,6,1,4,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [6,7,2,8,1,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,2,7,8,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,2,8,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,1,8,7,2,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,1,7,8,2,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [6,7,1,8,2,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,8,7,1,2,6,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,1,7,2,6,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,1,2,7,6,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,1,3,7,6,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,2,3,7,6,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,10,4,5,6,7,8,1,3,9]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [9,1,4,5,6,7,8,2,10,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [6,7,1,8,4,5,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [3,7,1,5,8,2,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [6,4,5,1,8,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,3,1,5,8,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,1,5,8,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,5,1,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,2,1,4,3,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,1,4,2,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,7,1,3,2,8,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,7,1,2,3,8,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [6,5,2,1,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,4,1,2,3,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,1,2,4,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,2,1,3,4,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,6,2,8,5,7,3,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,6,2,8,5,7,1,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [6,2,4,8,7,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,2,8,7,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,2,8,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,4,8,7,3,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,4,8,7,3,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,1,6,3,8,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,7,3,4,8,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [2,8,6,3,7,1,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,8,1,3,7,2,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,2,1,7,3,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,7,2,1,8,3,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,7,1,3,8,2,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [2,7,8,3,6,1,4,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [6,2,8,3,7,1,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,8,2,5,1,3,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,2,1,5,4,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,2,1,4,5,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,2,1,4,7,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,2,1,5,7,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,2,5,1,7,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,7,2,5,1,8,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,3,8,6,7,1,2,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,2,8,6,1,7,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,8,2,1,7,4,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,2,8,6,1,3,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,2,8,7,1,3,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,7,8,3,4,1,2,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [3,7,2,1,8,4,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [3,7,2,1,8,5,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [4,7,3,8,5,1,2,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [6,3,7,5,4,8,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [7,3,8,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,8,7,5,4,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,6,8,5,4,7,1,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [6,8,3,5,4,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,6,3,5,4,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,2,5,8,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [1,8,2,5,7,3,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,8,1,2,4,6,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,1,4,2,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,8,1,5,2,3,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,5,1,6,4,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,8,1,6,4,3,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,8,4,1,5,3,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,1,6,3,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,1,7,4,3,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,1,7,8,4,3,2,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,1,8,6,4,3,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,8,7,6,4,3,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,8,1,6,5,3,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,1,4,5,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,8,1,5,4,6,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,2,1,5,4,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,3,5,4,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [2,8,3,5,4,1,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,8,2,3,4,1,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,4,6,3,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,8,5,7,4,3,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,1,5,8,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,1,8,7,4,3,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,5,1,8,4,3,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,5,8,1,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,8,7,1,4,3,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,8,4,6,1,3,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,4,1,3,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,5,1,4,3,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,6,5,1,4,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,8,9,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,9,1,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [8,9,6,7,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,9,5,6,7,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,9,4,5,6,1,2,3]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,6,7,4,5,1,2,3]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,1,2,3,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,9,10,1,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,9,10,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [9,10,7,8,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,6,7,8,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,5,6,7,8,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,9,10,5,6,7,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [9,10,7,8,5,6,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,8,4,5,6,1,2,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,2,8,5,1,3,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,2,1,5,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,5,4,6,2,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,8,4,3,2,1,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,3,8,2,1,6,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,7,5,8,2,1,4,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [7,3,2,8,5,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,4,3,2,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,8,4,3,2,1,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,5,8,3,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,7,3,2,1,6,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [6,3,7,2,5,1,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,7,8,3,5,2,1,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,2,5,7,8,4,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,3,7,2,8,1,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,3,5,2,1,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [3,7,2,8,6,1,4,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,6,8,2,1,7,4,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [5,3,8,2,1,4,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,8,7,3,2,1,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,3,2,8,6,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,7,1,6,2,8,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,7,1,6,2,8,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [7,3,5,1,8,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,5,1,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,7,3,6,2,8,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [7,3,5,1,8,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,5,1,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,3,5,4,8,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,3,5,8,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,4,3,5,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,3,5,4,8,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,5,6,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,5,6,8,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,5,6,8,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,1,5,8,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,4,1,5,8,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,4,1,5,8,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,7,1,6,3,8,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [6,4,1,5,8,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,4,1,5,8,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,1,5,8,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,5,7,8,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,3,5,7,8,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,7,3,6,1,8,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [7,3,5,4,8,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,5,4,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,4,3,5,8,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,3,5,8,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,5,4,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,8,2,6,1,5,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,6,2,5,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,8,6,7,2,5,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,7,2,6,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,8,1,7,2,6,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,2,7,1,6,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,8,6,7,1,5,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,5,7,1,6,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,1,7,5,6,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,2,7,5,6,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,7,4,6,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,1,7,4,6,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,7,1,6,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,2,7,1,6,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,1,7,2,6,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,8,4,7,2,6,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,8,1,7,5,6,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,8,4,7,5,6,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,7,5,6,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,1,7,5,6,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,1,7,4,6,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,8,3,7,4,6,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,7,2,6,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,1,7,2,6,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,2,7,1,6,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,2,7,4,6,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,2,7,5,6,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,2,7,5,6,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,3,7,5,6,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,4,7,5,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,4,7,5,6,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,3,7,5,6,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,3,7,4,6,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,3,7,1,6,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,1,7,3,6,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,5,2,8,6,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,1,8,6,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,8,6,1,5,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,8,4,5,2,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,8,1,7,4,2,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,1,8,3,5,6,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,8,6,2,5,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,2,8,6,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,1,8,4,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,8,4,1,5,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,8,3,5,1,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,8,3,4,6,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,3,8,5,7,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,4,8,5,3,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,1,4,8,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,8,2,3,6,1,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,2,3,5,7,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,1,3,6,7,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,3,8,2,4,7,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,4,2,8,1,3,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,8,2,5,1,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,3,8,1,4,7,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,8,1,3,6,2,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,1,4,2,6,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,4,1,2,7,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,5,1,2,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,3,6,8,4,7,2,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,7,2,5,8,3,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,2,6,8,4,3,7,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [5,1,6,8,4,3,2,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [5,7,1,8,4,3,2,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [6,7,8,5,1,3,2,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,7,6,8,2,3,4,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [5,7,2,8,4,3,6,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [6,7,8,2,4,3,5,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [4,7,6,2,8,3,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,7,3,8,4,6,2,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,7,3,5,8,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,7,6,8,4,1,2,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,7,6,5,8,1,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [8,1,2,3,4,5,6,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [1,9,2,3,4,5,6,7,8]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [7,3,8,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,6,8,5,3,7,1,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [6,8,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [1,8,5,2,7,3,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,8,1,4,2,6,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,8,5,3,1,7,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,4,5,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,8,3,6,1,4,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,1,7,8,2,4,3,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,1,8,6,3,4,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,1,4,5,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,5,8,1,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,8,6,7,3,2,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,1,3,4,5,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [1,8,3,5,4,2,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,8,2,4,6,3,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,8,5,7,4,3,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,2,5,8,3,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,3,8,7,1,2,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,5,8,4,1,2,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,8,7,4,1,3,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,8,4,6,3,1,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,8,4,2,3,1,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [6,8,5,4,3,1,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,1,4,2,8,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,8,6,5,3,2,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,7,5,8,2,1,4,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,3,8,5,7,1,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,8,5,2,1,4,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,8,2,5,6,1,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,1,5,6,3,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,2,5,7,6,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,1,8,6,2,7,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,8,6,5,7,1,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,6,5,8,1,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,1,7,6,8,4,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [7,2,5,8,1,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,2,8,6,1,7,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,2,6,5,4,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,6,2,4,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [3,5,8,6,2,7,1,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [5,8,1,6,3,7,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [1,8,5,6,3,7,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,7,6,1,4,2,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [7,1,4,2,6,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,7,6,4,1,2,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [1,8,3,6,5,7,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,1,6,5,7,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,8,5,4,1,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,5,6,4,2,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,6,2,5,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,6,4,5,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,8,3,4,5,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,3,7,5,8,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,3,8,6,4,5,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,8,2,6,1,5,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,8,3,2,5,1,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,2,5,6,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,1,2,5,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,1,3,6,8,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [1,8,3,6,7,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,1,5,8,3,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,1,8,7,2,3,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,6,8,1,3,2,4,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [6,8,5,1,3,4,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,8,3,4,5,1,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,2,8,3,1,7,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,8,7,6,3,1,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,5,6,8,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,1,2,8,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [2,8,1,4,5,6,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,2,1,5,4,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,8,2,1,4,5,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,1,5,3,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,5,1,6,4,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,8,1,6,3,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,5,1,8,2,7,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,8,1,7,5,2,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,6,1,8,5,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,7,8,5,3,4,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,1,8,6,5,4,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,5,3,8,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [4,8,5,6,2,7,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,6,4,2,7,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,8,5,2,4,6,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,8,6,3,7,4,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,8,1,6,2,4,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,1,4,7,2,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,8,4,1,7,2,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,4,7,1,8,3,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [3,7,4,1,8,5,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [6,7,1,4,8,3,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [2,7,1,8,4,5,3,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [6,1,2,8,4,3,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,4,2,1,8,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [3,7,6,8,4,5,2,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,7,6,8,5,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [7,3,8,5,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,5,8,4,7,2,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,5,8,7,3,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,1,5,8,7,4,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,8,6,7,4,3,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,7,5,6,3,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,4,2,1,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [2,8,1,4,3,6,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,1,3,6,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,2,1,3,6,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,2,1,6,3,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,8,2,1,4,3,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,8,1,4,6,3,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,6,2,8,1,3,5,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [6,2,4,1,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,2,1,4,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,2,1,8,4,3,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,8,1,4,3,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,2,8,1,6,3,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,2,8,1,3,6,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,2,8,6,1,3,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,2,8,4,1,3,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,8,2,1,3,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,6,8,2,1,3,5,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [2,6,8,4,1,3,5,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [2,6,8,1,4,3,5,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [2,8,1,6,4,3,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,6,4,1,3,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,6,2,1,3,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,8,4,2,1,3,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,3,8,2,6,1,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,3,8,1,7,2,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,3,8,1,5,2,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,1,8,3,4,2,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,4,8,1,3,2,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,1,7,6,8,3,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [6,3,5,4,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,1,6,3,8,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,6,5,8,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,5,2,6,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,7,2,4,3,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,5,8,2,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,2,4,1,8,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,8,2,4,1,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,6,8,1,5,2,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,3,2,8,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,8,5,6,2,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,8,2,6,4,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,8,1,5,4,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,4,5,3,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,4,8,2,6,1,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,5,8,1,7,2,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,7,4,8,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,5,7,1,8,3,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,1,7,4,8,3,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,4,7,1,8,3,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [2,8,3,1,5,4,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,5,4,3,2,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,8,1,5,7,3,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,4,7,6,5,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,8,1,7,4,3,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,4,8,1,7,3,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,8,7,1,5,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,6,4,1,3,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [2,6,8,4,3,7,5,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [6,2,4,8,3,7,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,2,6,3,4,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [2,7,1,8,3,5,4,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [7,8,2,6,3,1,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,8,5,2,6,7,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,5,7,6,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,8,5,2,6,4,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,8,1,6,4,2,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,6,1,5,3,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,3,8,6,1,5,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,8,6,7,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,3,5,7,2,8,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,7,4,6,3,8,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [2,8,4,6,3,7,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,5,3,7,1,8,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,3,4,7,5,8,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [4,7,1,3,5,8,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,8,3,7,1,2,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,6,4,1,7,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,1,2,5,7,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,7,5,4,1,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,6,7,4,2,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,7,6,8,4,2,3,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [5,3,7,8,2,4,6,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [5,7,8,6,4,2,1,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [6,1,7,4,5,8,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,7,3,5,1,8,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,7,3,6,1,2,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [3,8,2,7,1,6,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,2,7,6,1,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,2,7,6,5,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,2,7,6,5,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,7,2,6,5,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,7,2,6,5,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,7,2,6,1,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,7,2,1,6,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,7,3,2,1,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,7,3,2,6,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,7,3,2,6,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,7,3,6,2,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,7,3,6,2,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,7,3,6,1,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,7,3,6,5,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,7,6,3,4,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,6,3,1,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,6,3,2,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,6,2,4,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,6,2,1,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,6,4,2,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,6,4,2,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,6,4,3,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,3,4,2,1,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,5,2,6,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,5,2,6,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,1,5,6,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,5,1,6,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,5,6,1,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,8,2,4,5,7,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,7,8,4,5,2,6,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [7,8,1,4,5,3,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [3,8,7,4,1,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,3,6,1,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,3,1,6,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,1,4,7,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,5,1,8,6,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,1,8,2,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,8,4,2,6,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,3,8,5,2,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,1,8,3,6,2,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,1,8,4,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,8,4,1,6,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,8,3,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,8,3,6,1,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,8,2,3,6,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,2,8,3,5,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,8,1,3,5,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,2,4,1,8,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,8,2,3,7,6,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,2,3,7,1,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,1,2,3,7,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,3,8,1,5,2,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,8,1,2,4,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,4,8,1,2,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,5,1,2,8,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,8,2,1,5,3,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,5,4,2,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,5,4,1,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,5,4,1,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [3,7,6,4,8,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [5,7,6,3,8,4,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,7,6,5,2,8,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,7,6,5,1,8,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [6,1,4,2,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,1,8,2,6,3,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,7,6,3,5,8,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,7,6,5,8,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [4,7,6,8,3,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [7,3,1,5,4,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,7,4,2,1,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [7,5,4,3,2,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,2,1,8,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,7,4,3,2,8,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [6,2,7,5,3,8,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [7,1,8,5,3,6,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,8,1,6,2,7,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [1,8,6,2,3,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,8,3,2,7,1,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [1,8,5,7,4,3,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,7,2,4,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,6,1,7,2,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,4,6,7,1,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,2,8,5,6,1,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,5,8,2,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [3,7,2,6,8,4,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [6,5,4,8,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,5,8,1,4,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,5,1,8,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,4,2,5,8,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,3,7,4,8,5,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [4,7,2,5,8,6,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [6,3,1,8,4,7,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,2,8,7,3,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,3,8,7,4,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,4,8,1,7,6,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,2,8,1,7,3,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,4,8,2,1,7,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,6,8,1,4,7,5,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [5,7,3,8,1,6,4,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [6,4,7,8,1,5,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,3,7,8,5,2,4,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,3,8,7,2,1,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,8,7,6,2,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,5,8,7,2,6,1,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [4,7,3,8,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [7,5,8,6,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,8,7,3,6,4,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,7,6,2,5,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,7,6,5,1,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,7,6,5,4,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [8,6,9,4,7,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,6,4,3,9,2,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [8,6,5,4,3,2,9,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [8,5,9,10,2,6,7,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [9,7,5,4,3,10,2,8,1,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [3,7,5,8,2,4,1,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,8,5,7,2,4,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,1,7,8,4,3,2,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,7,1,8,3,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [5,1,7,4,8,2,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [7,5,3,8,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,1,8,4,7,2,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,8,7,5,2,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,1,2,3,8,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,2,3,5,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,8,1,4,3,7,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,3,2,4,1,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,4,3,8,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [7,1,2,3,6,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,2,3,8,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,8,5,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,8,2,6,3,4,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,2,7,3,4,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,7,2,8,3,4,1,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [3,8,7,1,4,2,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,7,8,1,4,2,6,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,6,8,1,4,2,7,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [7,6,2,8,3,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,8,3,7,1,4,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,7,3,2,4,1,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,1,2,3,5,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,2,3,8,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,6,3,2,4,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,2,4,3,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,8,1,2,6,3,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,5,1,2,4,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,6,1,5,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,4,2,6,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,8,1,4,7,2,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,1,7,3,5,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,1,3,6,5,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,1,6,5,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,1,4,6,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,3,6,5,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,2,3,6,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,8,1,2,7,3,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,1,8,2,7,6,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,2,7,6,3,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,2,8,1,7,3,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,8,2,1,7,4,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,5,8,7,1,4,2,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [5,3,8,4,1,7,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,8,7,6,3,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,2,8,7,6,5,3,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,1,8,7,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,3,8,7,6,5,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,3,1,8,7,2,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,8,3,7,6,1,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,1,8,4,7,2,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,7,4,6,1,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,5,1,2,4,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,5,8,1,7,2,3,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,5,8,1,7,2,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,5,8,3,1,7,2,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,5,8,3,1,7,6,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [7,1,4,8,2,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,8,1,3,7,5,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,7,8,1,2,6,5,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [2,7,8,1,3,6,5,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [2,8,1,6,7,3,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,6,8,3,7,1,5,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [2,8,6,4,7,1,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,8,3,4,1,7,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,3,7,4,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,6,8,3,7,5,1,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [2,8,1,6,7,5,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,8,7,1,3,6,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,6,2,8,1,7,4,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [1,8,4,5,7,2,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,8,7,3,6,1,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,3,8,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,8,4,2,7,1,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,8,4,5,7,1,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,8,7,2,3,6,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,2,8,5,3,7,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,2,8,4,3,7,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,2,8,4,3,1,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,4,8,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,4,8,2,7,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,3,2,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,7,3,2,6,4,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [6,7,3,2,5,4,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,6,3,2,1,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,4,6,2,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,5,7,1,8,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,3,6,8,7,2,4,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [6,3,5,1,8,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,3,5,8,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,8,5,6,3,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,8,5,1,7,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,2,8,7,6,1,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,2,8,7,6,4,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,2,1,8,6,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,6,1,8,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,7,8,5,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,3,7,8,6,4,1,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [6,4,7,5,8,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,4,6,5,1,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,6,4,3,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,5,8,2,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,7,8,1,2,4,6,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,7,8,1,3,4,6,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,8,1,7,3,4,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,1,2,8,7,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,1,2,4,8,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,1,2,4,6,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,2,6,8,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,2,7,8,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,1,2,7,4,8,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,7,1,3,8,4,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,7,1,8,4,2,6,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [7,1,5,3,2,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,4,5,2,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,7,3,1,5,8,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,8,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,1,7,2,4,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,1,3,4,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,1,2,8,7,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,1,2,8,3,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,2,8,6,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,8,5,6,3,1,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,3,6,1,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,5,6,3,1,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,8,3,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,8,5,3,1,4,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,3,1,6,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,3,6,1,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,3,6,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,3,4,1,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,3,1,4,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,5,8,3,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,8,3,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,6,3,4,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,6,3,1,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,6,3,1,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,3,6,1,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,3,1,4,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,3,1,6,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,3,6,1,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,3,6,4,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,3,6,4,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,3,8,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,3,8,1,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,3,1,8,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,3,1,8,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,3,1,6,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,3,1,6,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,3,1,8,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,3,1,8,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,3,8,1,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,3,8,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,3,8,6,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,8,3,6,4,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,8,3,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,8,3,1,6,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,8,3,1,6,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,3,6,1,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,3,6,4,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,3,8,4,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,8,6,3,1,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,8,6,3,1,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,8,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,6,8,3,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,6,3,8,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,3,4,1,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,6,3,1,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,6,3,1,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,6,3,8,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,6,3,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,3,6,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,3,6,8,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,3,6,1,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,3,1,6,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,3,1,6,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,3,1,2,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,3,1,2,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,3,1,4,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,3,4,8,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,3,4,1,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,3,1,4,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,4,8,3,2,7,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,5,8,3,2,7,6,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,7,6,3,8,5,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [4,8,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,5,3,2,7,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,4,3,2,7,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,7,4,3,2,8,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,7,5,3,2,8,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,7,8,3,6,5,2,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [4,6,8,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [7,6,4,3,8,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,2,6,8,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,6,3,8,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [3,7,2,6,8,5,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [3,8,2,6,7,5,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,2,5,4,7,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,7,2,8,6,5,4,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [6,4,7,3,8,5,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,4,8,3,7,5,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,4,8,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,5,3,2,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,4,3,2,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,2,5,4,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,2,8,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,8,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,5,7,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,4,3,7,5,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,3,2,8,7,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,2,7,8,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,7,4,3,8,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [4,6,8,3,5,7,1,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [6,8,1,2,4,5,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,5,8,2,4,7,1,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [5,3,6,8,4,7,1,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [5,4,8,3,2,1,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,5,1,4,8,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,4,7,3,8,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,8,4,7,6,3,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,1,4,2,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,3,1,7,2,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,8,4,3,5,2,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,6,2,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,4,8,7,5,3,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,6,4,3,8,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,3,2,6,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,2,1,8,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [2,8,5,3,1,6,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,7,1,8,2,4,6,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [6,2,8,4,3,1,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,3,2,1,8,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,8,3,2,5,6,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,1,8,2,4,5,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,6,3,5,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [4,2,8,1,7,5,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,8,3,7,5,4,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,8,1,7,5,4,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,8,6,5,2,4,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,3,8,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,8,7,6,5,2,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,4,8,3,1,6,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,5,8,3,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,7,4,1,8,2,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,7,4,3,1,8,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [1,8,7,2,5,4,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,3,7,2,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,4,6,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,6,4,8,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,6,8,5,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,8,2,1,6,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,5,2,1,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [3,8,7,2,1,4,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,2,7,1,5,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,6,8,2,1,5,4,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [4,2,8,1,5,7,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [1,8,2,4,6,7,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,5,4,7,1,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,2,5,6,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,8,6,3,5,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,8,7,6,3,5,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,4,6,3,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,1,5,8,3,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,6,4,2,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,6,4,5,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,4,5,6,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,4,6,5,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,2,3,8,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,5,4,3,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,3,4,2,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,5,4,6,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,5,6,4,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,6,5,4,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,3,8,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,8,7,2,3,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,7,8,2,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,3,4,2,8,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,6,8,1,3,5,2,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,3,8,1,2,7,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [2,8,3,1,5,6,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,7,1,5,4,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,7,8,1,2,3,6,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [2,8,6,1,5,3,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,6,5,1,3,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,5,1,3,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,6,4,1,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,5,2,1,3,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [4,7,5,2,8,1,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [7,3,8,4,1,5,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,3,4,1,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [4,2,8,3,6,1,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,8,5,7,2,1,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,8,5,2,7,1,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,8,5,3,1,4,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,3,5,6,1,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,1,4,3,5,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,6,1,4,3,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,7,4,3,5,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [7,1,6,4,3,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [4,7,1,3,8,2,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [7,4,1,3,8,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,7,3,1,2,8,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,7,8,1,2,6,5,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [6,8,1,4,2,7,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [1,8,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,8,1,3,7,2,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,8,5,7,3,2,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [1,8,4,3,7,2,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,3,4,7,6,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,7,8,4,6,2,1,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,7,4,6,8,2,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [5,7,6,8,3,2,1,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [3,7,5,4,8,2,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [7,1,3,4,2,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,4,3,8,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,7,2,6,3,8,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,7,2,6,8,4,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [7,2,5,6,8,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,8,3,7,2,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [1,7,8,4,2,6,5,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [4,7,1,8,2,5,6,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,7,4,8,5,2,1,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [7,5,8,6,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,8,7,3,2,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,7,5,8,6,2,1,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,7,8,6,5,2,1,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [1,8,7,3,6,2,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,8,7,5,3,2,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,8,3,4,1,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [3,7,6,8,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,8,4,6,5,7,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,8,4,6,5,7,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,8,1,5,4,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,5,2,4,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,8,2,6,5,7,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,7,6,8,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [7,8,5,6,1,3,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,8,6,7,1,3,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,8,1,3,2,6,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,6,2,4,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,8,6,7,2,4,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,8,1,4,2,6,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,4,2,5,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,1,4,3,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,2,4,3,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,5,4,3,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,8,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [8,7,6,5,4,3,1,9,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,9,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [9,8,7,6,5,4,3,1,10,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [7,1,5,4,3,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,8,1,4,3,2,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,8,5,4,3,7,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,9,6,5,4,3,2,8,7]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [8,10,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [8,1,6,5,4,3,9,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,1,4,3,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,6,5,8,3,1,7,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [6,8,5,1,3,2,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [1,8,2,4,3,7,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,9,1,5,4,3,2,8,6]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,8,5,4,7,2,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,9,6,5,4,3,8,1,7]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [9,11,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [9,1,7,6,5,4,3,10,8,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,7,1,5,4,3,9,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,5,1,3,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,8,5,4,1,2,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [1,8,5,2,3,7,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,9,6,1,4,3,2,8,5]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [1,8,3,4,7,2,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,9,2,5,4,3,8,7,6]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [8,10,1,6,5,4,3,2,9,7]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,5,8,4,3,2,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,8,5,7,3,2,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,9,6,5,4,8,2,1,7]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,10,7,6,5,4,3,9,1,8]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [10,12,9,8,7,6,5,4,3,2,1,11]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,1,7,6,8,4,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [6,4,8,5,2,7,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,8,6,7,4,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,4,6,8,2,1,7,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [6,4,5,8,1,2,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,4,6,5,2,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [4,8,7,5,6,1,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,1,8,7,4,2,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [2,8,6,7,4,3,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,7,1,2,4,3,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [5,3,6,8,1,7,2,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [6,3,7,2,4,8,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [7,4,8,6,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,8,2,5,4,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,2,8,7,3,5,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,4,3,8,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,1,5,8,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,4,3,2,8,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,7,8,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,7,1,4,8,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [7,2,3,4,8,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,8,5,2,7,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,2,6,4,1,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,2,1,5,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,1,6,8,4,7,2,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [3,6,8,7,5,2,1,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [7,4,8,6,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,6,4,1,2,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,5,8,4,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,8,7,5,6,1,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,1,4,8,7,3,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,2,8,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,7,8,1,3,5,6,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [4,8,2,7,3,5,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,1,7,2,5,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,4,8,7,1,3,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [2,8,4,6,7,3,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,3,8,2,7,6,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,8,4,2,1,3,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,8,3,7,1,5,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,3,8,6,2,1,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,8,5,2,7,4,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [3,6,8,1,4,5,2,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [6,8,1,2,4,5,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,8,6,1,2,5,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,1,6,2,3,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,3,8,6,2,5,1,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,3,8,7,4,2,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,8,4,3,7,6,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,1,5,3,4,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [2,8,6,1,7,4,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,6,5,7,2,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,7,6,8,2,1,5,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [6,1,8,7,4,3,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,8,4,3,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,2,8,1,3,6,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,8,5,2,3,6,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,2,5,6,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,3,1,5,6,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,3,2,5,6,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,5,1,8,2,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,5,8,1,2,4,7,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [4,5,8,1,2,3,7,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,8,4,1,2,6,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,4,8,2,3,6,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,3,6,7,4,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,5,1,7,2,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,3,6,5,8,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,3,5,8,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,5,8,7,3,6,1,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,7,1,6,2,8,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [6,1,5,3,8,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [2,8,6,3,7,1,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,6,1,5,8,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [3,6,8,5,1,2,7,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [6,5,2,4,8,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,8,2,5,1,6,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,2,1,5,8,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [2,8,4,5,1,6,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,4,8,3,7,6,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,3,4,8,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,6,1,2,8,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,8,4,1,2,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,8,4,6,1,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,4,8,7,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,4,8,1,2,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,5,1,6,2,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,1,6,8,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,4,1,8,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,5,4,7,8,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,5,3,1,8,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,5,1,4,8,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,1,4,8,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,1,5,3,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,4,1,5,3,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,4,1,5,3,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,5,3,8,1,4,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,6,8,1,4,3,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,6,1,2,5,4,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,5,3,8,1,4,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,5,1,4,2,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,1,5,3,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,1,5,3,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,1,5,3,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,3,8,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,4,5,1,8,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [4,7,5,6,1,8,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,7,5,6,3,8,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,7,5,8,4,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [4,8,3,6,5,7,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,6,1,8,2,7,3,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [5,6,1,8,4,7,2,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,8,1,6,5,7,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,8,4,5,1,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,8,2,3,1,6,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,6,2,8,1,4,3,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [2,8,3,6,1,5,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,3,4,1,6,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,8,2,5,3,4,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,5,3,6,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,8,3,6,2,7,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,7,2,5,3,4,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [6,7,1,5,3,8,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,7,5,8,1,4,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,8,6,7,2,3,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,7,2,3,1,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,7,2,8,1,4,3,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [2,7,5,8,1,4,3,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [7,8,2,3,1,6,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,6,1,4,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,8,6,7,1,4,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,1,4,3,7,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,2,5,1,6,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,1,5,8,4,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,1,8,3,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,1,3,8,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,8,2,4,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,6,2,8,3,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,2,3,8,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,8,7,3,4,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,7,3,1,4,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,3,1,4,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,1,5,8,4,2,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,8,3,6,4,1,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,2,8,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,8,6,3,5,1,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,7,3,1,5,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,7,4,1,2,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,5,6,7,4,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,7,5,8,6,2,1,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,8,5,7,6,3,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,1,3,7,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,7,4,2,8,1,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [6,4,2,7,3,8,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,4,7,8,5,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,3,7,1,5,2,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [4,2,8,6,7,3,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,4,3,8,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,7,5,8,1,6,3,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [7,8,2,5,6,1,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,4,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,2,8,4,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,5,8,2,1,7,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,4,3,5,1,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,5,8,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,1,8,5,6,2,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,2,8,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,8,2,7,6,1,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,1,2,6,7,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,4,3,2,7,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,4,8,6,3,2,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,8,4,7,2,1,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,3,8,2,4,5,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,8,4,2,3,6,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,2,4,3,1,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,8,3,1,6,4,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,2,3,5,4,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,7,8,2,3,6,4,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [1,7,8,2,5,3,6,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [1,7,8,2,4,5,3,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,3,6,4,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,3,4,6,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,7,8,2,4,3,6,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,6,3,1,5,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,3,1,5,2,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,8,3,1,5,2,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,4,5,1,2,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,7,4,5,1,2,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,2,1,6,5,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,6,1,5,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,6,5,1,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,5,4,1,2,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,8,6,4,1,7,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,7,6,4,1,8,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,6,7,4,1,8,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [6,5,7,4,1,2,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,4,7,5,1,2,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,3,8,1,5,2,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,8,5,1,2,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,8,4,1,2,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,6,8,4,1,7,2,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,6,8,5,7,1,2,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,5,8,6,7,1,2,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [5,4,8,6,1,7,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,3,8,1,6,7,2,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,6,7,5,8,1,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [4,8,6,5,7,1,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,5,6,7,1,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,7,5,6,8,1,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,7,4,6,1,8,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,8,4,6,1,7,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,3,1,6,7,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,7,3,1,6,8,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,8,3,1,7,6,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,7,4,8,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [5,4,6,8,1,7,2,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,7,5,8,6,1,2,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,8,5,7,6,1,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,6,7,5,1,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,7,6,8,5,1,2,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,6,7,8,5,1,2,3]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [4,5,7,8,6,1,2,3]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [5,4,7,8,1,6,2,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [5,3,7,1,8,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,3,8,1,7,6,2,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,4,8,7,1,6,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,6,8,7,5,1,2,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,7,8,6,5,1,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [4,8,7,6,5,1,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,2,8,3,1,6,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,6,8,2,1,4,5,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [7,1,8,4,2,3,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,5,8,2,4,1,6,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [1,8,7,4,2,3,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,2,7,3,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,5,7,1,2,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,5,7,2,6,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,1,7,5,6,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,6,7,2,3,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,6,7,1,2,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,6,7,1,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,5,7,1,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,5,7,2,1,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,6,7,2,1,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,6,7,3,5,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,6,7,3,4,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,6,7,2,1,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,6,7,2,1,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,6,7,2,1,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,3,8,5,1,6,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,6,7,1,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,6,7,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,6,7,2,3,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,6,7,2,4,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,6,7,1,2,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,2,8,5,1,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,6,7,1,3,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,6,7,1,2,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,6,7,2,5,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,3,8,5,2,6,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,3,8,5,1,2,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,8,5,7,1,4,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,4,7,1,5,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,4,7,2,5,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,6,7,3,2,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,6,7,3,1,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,6,7,2,3,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,6,7,3,2,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,6,7,4,2,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,6,7,4,1,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,6,7,3,1,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,6,7,3,1,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,2,8,5,3,1,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,6,7,3,2,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,6,7,4,2,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,6,7,4,3,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,3,5,8,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,8,7,6,1,4,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,1,8,3,6,7,2,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,8,1,3,5,7,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,6,1,4,3,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [3,8,1,6,5,4,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,1,7,3,8,4,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,1,8,6,3,5,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,8,1,6,7,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,4,1,6,8,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [1,8,6,2,5,3,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,7,2,6,8,1,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,7,8,6,2,1,4,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [1,8,6,4,5,2,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,4,6,5,1,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,5,8,6,1,2,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,6,8,7,3,1,4,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [3,8,5,4,6,2,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,2,1,3,7,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,1,8,3,6,7,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,4,8,2,7,6,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [2,8,7,6,3,4,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,8,2,6,3,4,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,1,7,8,4,3,6,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [6,3,8,1,4,7,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,8,4,5,6,1,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,5,8,7,1,3,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [2,8,5,6,4,3,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,1,5,2,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,6,1,8,5,7,2,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,7,1,2,8,5,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [7,3,5,8,6,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,6,8,1,5,7,2,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [6,8,1,5,7,2,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,1,2,5,8,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,8,1,2,3,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,7,5,8,3,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,7,2,1,8,5,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [7,6,8,2,1,3,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,7,6,8,2,1,5,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [7,4,2,1,6,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,7,4,1,8,5,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,7,4,3,1,8,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [7,4,2,6,8,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,2,5,8,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [3,7,6,8,1,2,5,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [7,4,1,2,6,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,4,2,8,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,8,2,5,4,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,8,4,6,1,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,8,1,6,4,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,6,8,5,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,2,6,8,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,8,3,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,5,8,6,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,5,8,6,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,6,8,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,8,2,3,1,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,7,6,8,3,1,5,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [6,7,3,1,8,5,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,7,1,8,5,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,2,1,6,8,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,8,3,2,1,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,7,8,5,6,1,3,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [4,6,5,8,7,1,3,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [5,6,4,8,1,2,7,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [6,4,5,1,8,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,2,1,6,8,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,1,5,4,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,1,5,4,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,6,3,8,1,4,2,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [7,6,1,2,4,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [4,7,8,2,3,1,6,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [5,6,2,8,1,4,7,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [7,5,1,3,2,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,1,3,5,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,1,4,5,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,8,4,2,1,6,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,2,1,5,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,2,3,4,8,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,8,3,4,6,2,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,6,4,2,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,5,6,2,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,2,3,8,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,3,7,8,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,3,2,5,8,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,3,2,8,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,3,8,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,3,7,8,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,3,2,7,4,8,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,7,2,3,6,1,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [5,8,2,3,6,1,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,8,3,2,1,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,6,8,5,3,2,1,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [5,6,8,4,3,7,1,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,2,8,3,4,1,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,5,8,6,3,2,1,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,6,5,8,3,2,1,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [5,7,2,4,1,8,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [6,1,4,2,8,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,8,2,4,1,7,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,6,4,3,7,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,1,4,2,3,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,6,5,3,2,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,5,6,3,2,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,4,7,8,3,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [5,4,8,7,3,2,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,6,8,7,3,2,1,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,6,7,8,3,2,1,5]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [4,7,6,8,3,2,1,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,7,8,5,3,2,1,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [5,1,8,4,2,3,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,1,3,4,2,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,7,5,3,2,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,7,8,6,3,2,1,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [4,8,7,6,3,2,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,2,6,3,7,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,2,3,6,7,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,3,1,6,7,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,3,8,1,6,2,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,3,8,7,2,5,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,8,4,3,7,1,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,1,4,7,2,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,1,7,4,2,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,1,2,4,3,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,7,1,3,4,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,7,6,3,1,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,4,7,3,1,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,3,8,2,7,5,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,1,8,3,7,5,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,1,8,7,3,5,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,7,8,1,5,4,2,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [7,3,8,1,5,4,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,6,7,8,4,1,2,5]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [3,7,6,8,4,2,1,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [4,7,1,8,5,2,3,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [2,6,8,7,4,3,1,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [3,7,8,6,2,4,1,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,7,8,2,6,4,5,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,7,2,8,4,6,5,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [4,2,8,6,3,1,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [2,6,8,4,7,3,1,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [7,3,6,8,4,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,2,8,3,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,8,6,2,4,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,8,2,6,4,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,8,7,4,3,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,4,1,8,5,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,2,8,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,4,8,5,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,7,4,8,5,1,2,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [6,7,2,8,3,5,4,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [4,8,3,6,2,1,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,5,8,2,6,1,4,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [5,3,8,7,2,4,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [2,8,4,5,7,3,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,2,4,5,8,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,8,1,2,5,6,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,2,5,1,8,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,1,4,5,8,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,6,4,8,1,3,2,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [6,5,4,3,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,8,4,3,7,2,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,6,8,3,7,2,5,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [7,4,6,3,2,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,7,8,5,3,1,2,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [5,7,3,4,1,2,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,3,8,1,6,7,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,7,8,3,6,1,5,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [5,3,8,6,7,4,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,6,2,1,4,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,1,3,4,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,8,2,3,6,7,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,5,2,3,1,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,8,7,2,3,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,7,1,8,4,2,5,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [7,3,2,8,1,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,8,7,2,6,5,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,8,2,4,7,1,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,3,1,7,5,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,1,6,7,2,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,2,8,1,5,7,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,7,8,2,6,1,4,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [7,2,6,8,1,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,8,1,6,2,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,7,1,8,2,6,5,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [7,8,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,8,4,3,2,1,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,4,7,3,2,1,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,8,3,6,2,1,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,3,7,8,2,1,4,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [3,8,7,6,2,1,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,4,2,6,1,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,7,2,5,1,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,3,2,6,1,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,3,2,5,1,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,7,2,5,1,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,2,6,5,1,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,2,7,8,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,2,7,6,8,1,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [2,8,7,6,5,1,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,4,7,3,1,5,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,3,7,8,1,4,5,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [3,8,7,6,1,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,7,2,1,5,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,3,2,1,4,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,3,2,1,5,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,7,2,1,4,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,2,6,1,4,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,2,7,8,1,4,3,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,5,4,1,8,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,8,4,1,6,7,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,4,7,1,5,8,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,2,1,6,4,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,8,2,1,5,4,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,7,1,5,4,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,5,1,7,8,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,8,1,6,7,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,4,1,7,5,8,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [4,8,1,6,5,7,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,1,6,5,4,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,1,7,8,5,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [4,5,8,1,2,6,3,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,6,8,1,7,2,4,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [4,5,8,2,6,7,1,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [2,7,8,1,3,5,4,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [2,7,8,3,5,6,1,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [4,5,8,1,7,6,3,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,5,8,7,2,1,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,6,8,7,2,1,5,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [7,6,4,3,1,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [3,6,8,1,2,5,4,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [7,4,1,8,5,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,4,2,8,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,8,2,5,3,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,6,8,1,7,5,4,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,7,8,6,3,1,5,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [2,7,8,1,6,5,4,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [7,3,1,8,6,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,1,4,6,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,8,3,7,6,2,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,8,2,4,7,5,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,6,8,7,5,4,1,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [5,8,2,1,7,6,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,3,8,1,5,7,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,4,2,3,1,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,2,4,3,1,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,8,3,1,5,4,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,2,8,1,4,6,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,7,1,8,3,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [6,8,1,4,5,3,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,7,1,5,4,3,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,5,7,1,3,8,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,8,1,6,3,7,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,5,4,8,2,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,6,5,4,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,5,8,1,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [2,7,8,5,1,6,4,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [2,8,3,4,6,1,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,4,7,1,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,4,6,5,7,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,6,8,1,4,2,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,6,4,8,2,1,7,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [5,7,1,8,6,2,3,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [6,1,7,5,2,8,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,7,2,8,6,1,3,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [5,1,7,8,6,3,4,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [5,2,7,8,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [6,2,7,5,1,8,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,2,7,5,4,1,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,7,5,2,4,1,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,7,2,5,3,8,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,7,4,5,2,1,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,1,7,8,6,4,3,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [5,1,7,8,6,3,2,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [6,3,7,5,1,8,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,7,5,1,4,2,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,7,8,6,4,1,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [6,7,4,1,5,2,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,3,1,7,5,8,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,7,5,4,2,1,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,3,2,7,5,8,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,7,4,2,5,1,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,2,7,4,5,1,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,2,3,7,5,8,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [7,5,1,6,3,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,1,6,3,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,5,1,8,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,5,1,8,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [3,7,5,1,8,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [3,7,5,4,8,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [3,7,5,4,8,1,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [7,5,1,6,2,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,1,6,2,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,7,1,5,8,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [6,8,5,4,3,2,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,11,9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,9,6,5,4,3,2,8,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [8,9,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,5,4,3,7,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,4,3,2,1,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [8,7,6,5,4,3,9,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,3,2,8,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,3,2,8,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,2,8,1,5,6,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,3,6,8,1,4,2,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [6,4,7,3,2,8,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [1,7,8,4,5,3,2,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [5,1,7,3,8,4,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [6,4,1,7,3,8,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,6,3,7,8,4,2,1]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [5,6,1,7,8,3,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [6,7,2,4,1,8,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,7,2,1,4,3,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,4,7,3,1,2,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,3,7,2,8,4,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,3,7,2,8,4,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,3,2,7,1,8,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [7,5,3,2,1,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,8,4,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,7,2,1,3,8,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [7,3,8,4,6,2,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,7,3,8,2,1,6,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [6,3,7,8,5,2,1,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,4,5,8,1,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,7,2,1,3,8,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,3,7,1,8,5,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,2,1,7,3,8,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,2,7,1,8,5,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,3,1,7,8,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,2,4,5,8,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [2,8,4,1,7,6,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,8,7,4,1,2,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,4,6,2,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,7,4,8,2,1,6,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,7,8,5,4,1,3,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [7,2,4,8,5,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,8,3,1,2,7,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,4,7,1,3,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,2,3,6,7,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,3,2,1,6,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,3,4,6,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,2,7,4,1,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,5,8,2,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,2,6,8,7,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [6,3,2,1,8,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [1,8,4,2,5,6,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,4,1,5,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,2,8,5,6,7,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,8,4,7,6,2,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,6,5,8,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [5,4,8,7,6,3,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [2,8,5,1,4,7,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,5,3,8,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,8,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,3,8,2,7,4,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [1,8,4,3,7,2,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,4,7,8,3,6,2,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [6,4,3,8,7,2,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,8,7,4,1,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,1,3,8,5,7,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,8,3,2,6,7,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,5,3,6,2,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,1,5,4,7,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,8,2,6,1,3,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,3,5,8,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,2,8,1,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,2,8,5,1,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,1,8,5,2,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [2,7,1,8,5,4,6,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [5,8,6,2,1,3,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [1,7,8,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [3,8,1,4,5,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,6,8,2,4,5,1,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [3,7,2,8,4,5,6,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,7,8,2,4,5,6,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,8,2,1,4,5,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,1,8,3,2,5,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,5,8,3,2,1,6,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,7,8,3,2,5,6,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [4,8,2,3,1,5,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,6,2,7,8,4,1,3]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [5,6,8,3,4,2,1,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,7,2,3,4,8,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,7,8,3,4,2,6,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,8,2,3,4,1,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,1,2,3,8,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,1,2,7,8,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,1,7,3,8,5,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,1,7,8,4,5,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,1,8,3,4,5,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,7,2,3,8,5,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,7,2,8,4,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,1,2,3,4,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,2,8,4,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,8,3,4,5,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,1,8,2,3,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,8,1,2,4,3,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,5,8,6,1,2,4,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [7,6,5,2,4,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,2,5,3,1,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,1,8,6,3,2,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,8,1,5,3,2,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,1,6,4,2,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,3,2,6,5,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,8,4,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,9,8,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,9,8,7,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,9,8,7,6,4,3,2,1]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,9,8,7,6,5,3,2,1]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,9,8,7,6,5,4,2,1]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,9,8,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [8,10,9,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,9,7,8,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,10,9,8,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,6,5,7,3,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,9,8,6,7,4,3,2,1]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,10,9,8,7,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,7,5,4,6,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,5,6,7,3,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,9,8,7,5,6,3,2,1]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,10,9,8,7,6,4,3,2,1]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,7,6,4,3,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,7,4,5,6,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,9,8,7,6,4,5,2,1]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,10,9,8,7,6,5,3,2,1]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,7,6,5,3,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,7,6,3,4,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,9,8,7,6,5,3,4,1]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,10,9,8,7,6,5,4,2,1]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,6,5,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,9,8,7,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [2,10,9,8,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,2,5,8,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,3,7,1,5,8,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,2,5,4,8,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,5,4,2,6,8,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,8,4,5,2,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,5,1,8,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,4,6,8,1,2,7,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [6,4,7,2,3,5,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,8,4,1,3,5,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,5,1,8,4,7,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,7,3,2,8,1,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [7,4,3,6,8,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [2,8,6,1,5,7,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,8,2,5,4,3,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,8,3,4,2,7,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,7,3,2,4,1,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [2,8,3,4,7,1,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,1,5,6,2,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,1,5,2,8,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,4,8,7,2,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [1,8,6,4,5,2,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,3,6,2,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,7,2,6,5,8,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [6,8,1,4,2,7,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,3,4,7,1,8,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,8,2,4,5,6,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,4,1,5,3,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,4,1,5,7,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,8,4,5,7,2,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,5,2,7,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,3,5,1,4,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,3,4,2,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,3,2,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,9,3,2,4,5,6,7,8]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [6,8,1,3,2,5,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,1,4,2,5,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,3,6,1,4,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,5,3,6,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,5,1,4,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,4,3,6,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,8,1,4,3,7,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,2,5,1,4,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,2,5,3,7,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,2,5,4,7,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,3,6,4,7,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,2,6,4,7,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,2,6,3,7,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,1,5,3,7,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,1,5,2,6,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,3,7,1,5,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,8,3,7,1,4,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,1,3,2,6,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,4,7,1,3,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,4,7,1,3,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,5,7,1,3,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,8,2,4,1,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,7,6,8,1,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,7,5,8,1,3,2,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,7,5,8,1,4,2,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,7,6,8,1,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,7,6,8,2,5,1,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [4,7,6,8,2,5,1,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,7,5,8,3,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,7,5,8,2,6,1,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,7,5,8,2,6,1,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,7,4,8,2,6,1,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,7,4,8,1,5,2,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [4,7,3,6,5,8,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [7,6,4,2,8,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,4,3,8,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,4,8,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,8,4,3,7,2,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,7,4,3,5,1,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,7,3,5,4,8,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,8,3,7,5,2,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,6,8,3,5,2,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,6,3,5,8,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,3,5,2,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,4,2,5,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,2,8,4,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,3,8,2,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,3,4,8,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,8,3,7,4,5,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,7,3,5,8,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,7,8,3,6,2,1,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,8,3,6,7,2,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,3,4,8,7,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,8,4,7,2,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,2,8,4,1,7,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,3,4,7,5,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,3,5,7,8,4,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,7,3,6,8,2,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,6,8,3,7,2,1,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,6,7,8,3,5,2,1]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [4,6,8,3,5,7,2,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,7,3,5,6,8,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,7,3,5,8,2,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,3,8,2,4,1,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,8,3,6,2,5,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,3,5,7,2,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,3,5,6,7,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,7,8,3,5,6,2,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [4,7,8,3,6,2,5,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [4,8,3,6,7,2,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,3,7,2,5,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,3,8,2,4,1,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,2,8,4,1,7,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,4,3,5,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,3,5,8,7,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,8,3,7,2,6,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,7,3,4,8,2,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,8,4,2,3,1,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,4,2,3,1,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,4,5,3,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,4,8,5,3,7,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,3,8,5,7,2,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,2,8,5,3,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,3,7,8,5,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,3,5,7,4,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [4,7,3,6,8,2,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [4,5,7,8,3,6,2,1]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [4,5,8,3,6,7,2,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,5,8,3,7,2,6,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [5,3,6,8,2,1,4,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [5,7,4,8,6,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [7,6,9,8,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,8,5,9,7,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [6,7,8,9,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [5,8,4,3,9,7,6,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,7,8,4,9,6,3,2,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [8,7,10,9,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [8,9,10,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,9,6,10,8,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [7,8,9,10,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [1,8,2,5,3,4,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,3,6,4,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,7,3,4,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,1,5,8,4,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,4,5,8,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,1,6,2,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,5,4,8,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,4,8,5,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,8,3,1,2,4,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,1,8,4,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,8,1,2,4,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,6,1,2,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,1,8,4,2,3,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,8,1,7,4,2,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,1,8,5,4,2,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,8,4,5,2,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,6,3,1,2,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,2,3,8,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,8,1,4,2,3,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,3,1,2,7,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,7,3,1,2,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,7,1,4,2,3,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,8,2,1,4,6,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,2,1,5,8,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,7,1,6,8,4,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,8,1,2,5,7,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,1,4,7,2,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,7,8,4,6,2,5,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [3,7,4,8,5,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,7,5,8,6,4,1,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [3,8,7,1,6,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,6,8,2,7,4,1,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [6,3,8,1,7,4,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,8,7,1,4,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,1,7,3,5,4,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,6,8,7,2,4,1,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [6,8,5,7,1,2,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,8,4,1,7,5,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,8,2,1,5,7,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,2,8,4,1,6,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,5,6,8,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [2,7,8,1,4,6,3,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [4,8,2,5,7,1,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,7,1,3,4,5,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,1,6,5,3,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,4,2,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,3,8,7,5,2,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,8,7,4,2,3,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,3,8,6,1,2,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,8,7,3,5,2,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,7,2,6,4,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,3,5,4,8,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,3,8,6,1,5,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,5,2,6,8,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [1,8,5,3,6,2,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,1,8,6,3,4,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,2,4,7,6,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,2,5,3,4,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,2,5,6,4,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,3,5,8,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [2,8,3,6,7,5,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,1,3,6,2,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,7,4,5,8,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [1,8,5,7,3,2,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,4,8,6,2,3,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,7,5,6,8,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [7,1,3,2,8,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [2,8,5,4,1,3,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,6,5,1,4,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,1,8,6,5,3,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,5,2,7,3,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,2,8,5,3,6,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,2,8,4,3,7,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,5,2,8,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,7,4,3,6,2,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [6,7,5,1,2,8,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,2,6,8,3,4,7,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [7,6,2,4,5,8,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [3,6,8,4,7,2,5,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [7,6,3,8,4,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,3,6,5,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,7,5,8,3,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [2,8,3,6,4,5,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,8,1,2,6,4,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,5,7,2,8,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,5,1,2,8,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,4,8,3,6,2,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,2,7,4,3,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,4,5,8,2,7,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,7,3,6,4,8,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,7,2,5,3,8,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [5,7,1,2,8,6,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,4,5,7,2,8,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [4,7,6,2,3,8,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [7,3,5,2,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,2,4,5,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,2,8,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,3,1,2,8,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,1,3,8,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,2,3,1,8,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,1,6,2,3,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,1,8,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,8,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,8,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,7,8,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [6,2,7,1,8,4,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [4,7,1,3,8,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [4,6,3,8,7,1,2,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [6,4,5,8,7,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [1,8,3,7,2,4,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,1,7,2,4,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,8,2,3,5,1,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,7,8,2,6,1,3,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [6,2,8,7,1,4,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,8,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,6,1,3,4,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,6,2,3,4,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,7,2,4,5,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,8,3,6,2,4,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,1,8,5,3,2,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,1,3,2,8,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,3,8,1,2,6,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,8,10,9,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [9,10,5,6,8,7,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,10,9,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [9,10,3,6,8,4,7,5,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,3,4,5,8,7,6,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,8,5,6,1,2,4,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,10,9,5,6,1,2,4,3]=>[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [9,10,5,6,8,7,1,2,4,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,8,1,4,6,2,5,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,10,9,1,4,6,2,5,3]=>[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [9,10,1,6,8,4,7,2,5,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,1,4,5,8,7,2,6,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,8,1,2,3,6,5,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,10,9,1,2,3,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [9,10,1,6,8,2,3,7,5,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,1,2,5,8,3,7,6,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,1,2,3,4,8,7,6,5]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [3,6,8,7,1,2,5,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [6,2,8,5,4,7,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,7,2,4,8,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [3,8,5,2,7,4,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,2,8,4,7,3,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [1,8,5,7,3,4,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,1,4,8,7,3,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,8,5,7,1,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,8,1,6,3,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,7,4,3,8,1,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,3,8,2,1,6,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,8,4,2,7,1,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,8,2,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,1,6,7,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,7,2,6,8,5,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [1,7,8,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,5,3,2,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,8,5,4,3,1,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,1,6,3,4,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,8,7,1,4,2,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,8,5,6,7,2,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,8,6,5,7,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,4,1,6,5,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,2,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [2,8,3,6,1,7,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,2,6,5,1,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,8,2,5,4,1,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,8,5,2,6,1,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,1,3,6,2,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,8,2,6,5,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,6,1,8,2,7,4,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [7,2,8,1,6,5,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,8,7,2,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,7,1,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,7,5,1,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,7,8,5,1,4,3,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,6,3,8,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [7,3,8,5,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,6,4,7,8,1,3,2]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [7,3,5,1,2,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,2,1,6,3,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,6,7,1,2,8,4,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [4,7,5,1,2,8,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [7,6,1,2,8,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,8,1,2,6,5,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [3,8,1,6,2,7,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,5,1,2,7,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,6,8,1,2,7,4,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [7,3,6,4,2,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,4,5,2,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,2,8,3,4,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,4,2,1,8,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,3,4,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,1,5,3,8,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,8,4,2,7,3,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,5,2,6,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,6,2,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,5,8,4,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,8,4,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,8,5,3,4,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,8,4,3,2,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [1,7,8,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [5,7,4,8,3,2,1,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [5,4,8,2,7,3,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,2,8,7,3,4,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [1,8,3,7,6,2,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,8,3,2,6,4,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,2,4,7,5,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,3,8,2,6,4,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,6,8,2,7,3,1,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [2,6,8,7,3,4,1,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [7,2,8,6,3,5,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,8,1,7,2,5,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,8,7,4,5,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,6,4,3,5,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,6,5,3,2,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,7,4,6,2,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,3,7,6,2,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,1,8,6,5,2,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,8,3,2,5,4,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,4,5,2,3,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,3,8,1,5,4,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,2,1,8,5,4,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,8,5,7,6,1,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,6,7,5,3,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,7,5,6,2,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,5,4,8,2,1,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,8,4,7,2,6,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,3,2,7,6,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,10,4,9,3,8,2,7,1,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,1,8,2,7,3,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,1,3,2,8,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,8,2,4,3,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,5,2,8,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,1,7,2,8,3,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,1,8,2,7,3,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,1,8,2,4,3,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,1,8,2,4,3,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,1,8,2,5,3,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,1,8,2,7,3,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,1,7,2,8,3,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,1,7,2,5,3,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,1,7,2,4,3,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [7,1,5,2,4,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,6,2,4,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,6,2,5,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,6,2,8,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,8,2,6,3,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,8,2,7,5,4,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,7,4,3,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,6,4,7,2,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,2,6,3,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,4,8,1,5,2,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,8,3,2,4,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,8,5,4,3,6,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,4,3,7,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,4,7,2,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,2,5,3,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,4,2,6,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,4,8,2,1,3,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,4,8,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,1,7,3,8,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,3,2,8,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,4,3,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,5,4,3,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,5,4,8,6,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,3,8,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,8,1,7,5,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,8,3,1,7,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,8,2,1,7,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,4,2,8,5,1,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,6,4,8,5,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,8,6,3,1,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,8,6,1,5,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,1,7,8,2,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,3,1,7,8,5,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,3,8,1,2,5,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,3,1,2,5,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,3,2,4,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,1,3,5,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,2,8,3,1,7,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,1,8,3,2,4,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,6,5,4,2,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,5,4,8,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [8,7,6,5,4,2,1,9,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,5,8,2,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,7,6,5,3,2,1,9,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,7,6,4,3,2,1,9,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,7,5,4,3,2,1,9,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,6,5,4,3,2,1,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,5,4,1,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [8,7,6,5,4,9,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [9,8,7,6,5,4,2,1,10,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [7,6,5,2,8,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [8,7,6,5,9,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [9,8,7,6,5,3,2,1,10,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [7,6,5,8,4,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,7,6,9,3,2,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,8,7,6,4,3,2,1,10,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [7,6,8,5,2,1,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,7,9,4,3,2,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,8,7,5,4,3,2,1,10,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [7,8,6,3,2,1,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,9,5,4,3,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,8,6,5,4,3,2,1,10,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [9,7,6,5,4,3,2,1,10,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [7,8,9,10,4,5,6,2,3,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,10,4,5,2,3,6,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,10,4,5,6,2,1,3]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,10,4,5,2,6,1,3]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,10,4,5,2,1,3,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,10,4,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,4,9,10,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [7,8,9,10,4,2,5,1,3,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,4,9,10,2,5,1,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [7,8,2,4,5,1,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,3,2,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,1,5,2,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,3,7,4,5,8,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [7,3,2,5,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,5,4,2,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,5,2,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,5,2,1,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,4,1,6,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,4,1,6,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,4,1,5,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,2,5,1,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,5,4,1,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,4,1,5,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,3,4,5,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,1,5,2,6,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,5,2,6,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,2,5,6,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,5,4,6,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,4,5,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,4,5,8,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,4,5,8,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,4,5,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,3,4,5,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,3,4,5,8,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,5,4,6,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,2,5,6,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,7,4,6,1,8,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [6,3,4,5,8,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,3,4,5,8,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,4,5,8,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,7,6,1,8,2,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [4,8,6,1,7,5,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,7,8,2,6,1,5,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [7,6,4,2,8,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,7,1,8,3,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,4,8,3,6,1,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,8,4,3,6,2,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,10,7,9,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [9,10,6,8,5,7,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,10,6,9,5,7,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,10,6,9,5,8,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [9,10,7,8,4,6,3,5,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,10,7,9,4,6,3,5,1,2]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [9,10,6,8,4,7,3,5,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,10,6,9,4,7,3,5,1,2]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,10,6,9,4,8,3,5,1,2]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [9,10,5,8,4,7,3,6,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,10,5,9,4,7,3,6,1,2]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,10,5,9,4,8,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,10,5,9,4,8,3,7,1,2]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [9,10,7,8,5,6,2,4,1,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,10,7,9,5,6,2,4,1,3]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [9,10,6,8,5,7,2,4,1,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,10,6,9,5,7,2,4,1,3]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,10,6,9,5,8,2,4,1,3]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [9,10,7,8,4,6,2,5,1,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,10,7,9,4,6,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [9,10,6,8,4,7,2,5,1,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,10,6,9,4,7,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,10,6,9,4,8,2,5,1,3]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [9,10,5,8,4,7,2,6,1,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,10,5,9,4,7,2,6,1,3]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,10,5,9,4,8,2,6,1,3]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,10,5,9,4,8,2,7,1,3]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [9,10,7,8,3,6,2,5,1,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,10,7,9,3,6,2,5,1,4]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [9,10,6,8,3,7,2,5,1,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,10,6,9,3,7,2,5,1,4]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,10,6,9,3,8,2,5,1,4]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [9,10,5,8,3,7,2,6,1,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,10,5,9,3,7,2,6,1,4]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,10,5,9,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,10,5,9,3,8,2,7,1,4]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [9,10,4,8,3,7,2,6,1,5]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,10,4,9,3,7,2,6,1,5]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,10,4,9,3,8,2,6,1,5]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,10,4,9,3,8,2,7,1,5]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [10,12,9,11,7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,8,11,7,9,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,9,11,6,8,5,7,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,8,11,6,9,5,7,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,7,11,6,9,5,8,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,9,11,7,8,4,6,3,5,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,8,11,7,9,4,6,3,5,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,9,11,6,8,4,7,3,5,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,8,11,6,9,4,7,3,5,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,7,11,6,9,4,8,3,5,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,9,11,5,8,4,7,3,6,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,8,11,5,9,4,7,3,6,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,7,11,5,9,4,8,3,6,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,6,11,5,9,4,8,3,7,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,9,11,7,8,5,6,2,4,1,3]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,8,11,7,9,5,6,2,4,1,3]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,9,11,6,8,5,7,2,4,1,3]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,8,11,6,9,5,7,2,4,1,3]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,7,11,6,9,5,8,2,4,1,3]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,9,11,7,8,4,6,2,5,1,3]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,8,11,7,9,4,6,2,5,1,3]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,9,11,6,8,4,7,2,5,1,3]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,8,11,6,9,4,7,2,5,1,3]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,7,11,6,9,4,8,2,5,1,3]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,9,11,5,8,4,7,2,6,1,3]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,8,11,5,9,4,7,2,6,1,3]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,7,11,5,9,4,8,2,6,1,3]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,6,11,5,9,4,8,2,7,1,3]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,9,11,7,8,3,6,2,5,1,4]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,8,11,7,9,3,6,2,5,1,4]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,9,11,6,8,3,7,2,5,1,4]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,8,11,6,9,3,7,2,5,1,4]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,7,11,6,9,3,8,2,5,1,4]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,9,11,5,8,3,7,2,6,1,4]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,8,11,5,9,3,7,2,6,1,4]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,7,11,5,9,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,6,11,5,9,3,8,2,7,1,4]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,9,11,4,8,3,7,2,6,1,5]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,8,11,4,9,3,7,2,6,1,5]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,7,11,4,9,3,8,2,6,1,5]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,6,11,4,9,3,8,2,7,1,5]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,12,5,11,4,9,3,8,2,7,1,6]=>[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,8,4,7,5,1,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,6,3,1,7,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,2,1,7,8,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [2,7,1,8,3,5,6,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [4,3,8,5,6,1,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,8,1,5,7,2,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,1,5,8,2,4,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,3,8,4,7,6,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,1,2,3,7,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,1,2,8,7,4,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,1,6,2,8,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [1,8,6,3,2,4,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,2,4,5,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,3,5,6,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,2,6,4,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,3,8,7,4,6,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,8,6,4,7,5,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,1,8,2,7,4,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,7,4,8,6,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [1,8,2,7,6,4,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,9,8,7,6,5,4,1,3]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,7,6,5,1,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,1,6,3,2,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [1,8,4,3,6,5,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,6,5,3,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,4,2,1,6,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,1,4,3,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,1,3,5,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,1,2,4,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [1,8,6,3,4,5,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,6,7,4,2,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,4,8,6,1,2,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,6,8,7,4,3,1,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [1,8,2,7,4,3,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,5,8,2,3,7,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,8,5,3,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,7,8,6,1,3,2,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [1,8,5,3,2,7,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,5,2,6,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,3,6,2,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,6,7,3,2,8,1,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [7,6,1,3,8,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [3,6,7,8,1,4,5,2]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [7,3,2,6,8,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,5,8,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,2,8,4,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,5,8,2,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [1,8,5,2,4,6,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,2,3,5,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,4,2,8,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,4,8,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,5,4,8,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [2,7,4,8,5,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [7,1,5,4,8,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,2,5,8,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,6,3,8,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,7,8,4,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,5,6,8,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,6,2,8,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [3,6,7,8,1,4,2,5]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [6,5,7,8,3,1,4,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,4,7,3,8,1,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,4,7,3,8,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,4,6,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,4,7,3,8,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,5,7,8,3,1,2,6]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [5,4,7,2,8,1,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,5,7,8,2,1,3,6]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [4,6,7,8,1,3,2,5]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [4,6,7,8,1,3,5,2]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [4,6,7,8,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [4,6,7,8,1,2,5,3]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [4,5,7,8,2,1,6,3]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [5,4,7,2,8,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [3,6,7,8,1,2,5,4]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [3,6,7,8,1,5,2,4]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [3,6,7,8,1,5,4,2]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [4,2,8,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,7,2,1,5,8,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [7,2,1,3,5,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,8,6,2,1,5,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,3,6,5,1,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,4,7,3,5,1,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,4,7,5,1,8,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [7,3,5,1,6,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,6,8,2,1,5,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [6,8,2,1,3,5,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [1,8,2,3,5,7,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,3,2,5,6,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [4,6,2,8,1,5,3,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [6,2,1,7,8,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,7,3,8,4,1,5,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [2,7,8,4,1,5,6,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [2,7,1,8,5,6,3,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [3,8,4,5,6,1,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,5,8,3,6,7,1,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,5,8,3,7,6,1,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,2,8,3,7,1,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,2,3,4,8,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,3,4,8,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,3,4,8,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,3,5,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,3,8,4,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,3,8,5,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,3,8,5,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,3,8,4,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,3,5,8,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,8,2,3,6,1,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,3,6,1,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,2,3,5,8,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,3,8,4,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,5,1,2,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,5,1,4,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,8,5,4,1,2,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,5,1,4,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,5,1,2,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,5,1,2,4,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,5,1,3,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,5,1,3,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,5,1,3,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,3,4,5,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [3,5,8,4,1,2,7,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [3,5,8,4,1,2,6,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [3,5,8,4,1,6,2,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [4,2,8,3,6,1,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,5,8,4,1,6,7,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [7,6,5,1,4,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,5,1,2,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,5,1,2,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,5,1,8,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,5,1,8,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,5,1,8,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,5,1,4,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,5,4,1,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,5,1,4,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,5,1,8,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,5,1,8,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,8,6,2,1,3,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,2,5,6,8,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [2,8,3,4,7,5,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,8,2,7,4,3,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,7,8,5,1,6,3,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [4,8,6,1,7,3,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,5,1,7,2,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,8,7,1,3,2,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,7,1,8,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [6,2,3,8,4,7,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,1,3,8,6,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,2,1,8,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,2,5,3,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,4,2,8,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,1,4,3,8,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,7,6,2,8,1,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [2,7,6,8,1,5,3,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [6,4,5,8,3,1,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [3,6,8,1,5,2,4,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [6,3,8,5,7,4,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,4,6,8,5,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,6,8,2,4,1,5,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [6,2,8,1,7,5,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,3,4,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,2,8,1,5,3,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,1,8,2,6,4,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,4,8,6,2,1,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,6,2,8,3,7,5,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [2,8,5,3,6,7,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,8,5,6,4,1,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,8,4,1,6,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,1,3,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,1,4,5,6,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,9,5,8,3,6,1,4,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,6,8,3,5,1,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,9,5,7,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,9,6,7,3,5,1,4,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,9,6,7,4,5,1,3,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,9,6,7,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,8,5,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,8,5,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,5,8,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,5,9,8,3,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [9,7,10,5,8,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,8,6,3,5,1,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,3,8,7,6,1,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,9,6,8,3,5,1,4,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,5,8,4,7,1,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [8,9,5,7,4,6,1,3,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,9,6,7,3,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,2,5,3,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,6,4,8,3,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,8,5,6,1,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,2,5,6,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,8,3,5,6,1,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,2,8,5,1,7,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,7,4,8,2,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,8,4,1,2,3,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,1,8,5,6,3,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [1,8,2,5,6,4,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,1,8,5,3,7,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,8,1,5,2,7,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,1,4,6,3,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,4,3,1,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,4,6,1,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,8,4,7,2,1,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,8,7,5,6,1,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,6,5,1,7,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,6,4,2,1,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,7,4,6,1,3,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [6,7,4,1,5,3,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,5,4,1,2,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [1,8,2,5,3,7,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,8,1,5,4,7,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,8,1,5,6,4,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,8,4,1,2,5,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,6,4,1,5,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,4,1,3,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,4,3,5,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [2,8,1,6,4,3,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,6,8,1,5,7,4,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [2,8,1,7,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,1,8,7,3,2,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,7,1,8,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,6,8,5,1,4,7,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [7,3,5,8,2,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,6,2,1,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,6,2,1,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,2,8,1,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,2,6,3,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,6,2,1,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,8,4,5,2,1,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,8,5,1,7,3,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,7,5,1,3,8,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [5,1,8,7,6,4,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,1,8,6,3,2,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,8,6,3,7,2,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,4,8,2,7,3,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,4,8,7,3,6,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,4,3,8,7,1,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,7,2,4,8,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,6,8,4,2,7,3,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,7,4,2,8,1,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,4,7,3,1,8,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,7,4,3,8,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [7,5,8,4,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,6,4,8,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,5,3,8,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,3,8,5,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,8,1,3,2,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,4,8,6,3,1,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,8,4,1,5,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,7,4,8,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,1,4,8,5,3,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,1,8,4,3,7,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,2,1,4,3,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,1,8,5,3,2,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,1,4,6,3,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,4,3,1,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,3,2,1,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,7,3,1,5,4,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [5,8,3,1,2,4,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,8,1,5,6,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,8,4,1,2,5,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,6,4,1,5,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [4,5,8,2,1,3,7,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [5,8,2,3,1,4,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,1,3,5,4,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,8,2,4,5,1,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,1,2,4,7,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,1,3,5,2,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,3,1,4,5,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,5,1,8,2,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,8,2,3,4,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,8,4,2,6,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,1,8,4,6,3,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,8,3,5,7,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,3,1,4,8,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,4,1,8,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,2,8,7,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,2,4,8,1,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,3,8,5,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,7,8,9,2,3,4,5,1]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [6,7,8,9,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [6,7,8,9,3,4,5,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [6,7,8,9,4,5,2,3,1]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [6,7,8,9,4,5,3,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,4,5,6,2,3,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,9,4,5,6,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,9,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,9,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,9,5,6,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,6,7,4,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,9,6,7,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,9,10,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,10,3,4,5,6,2,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,10,4,5,6,1,2,3]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,10,4,5,6,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,10,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,10,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,10,5,6,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [8,9,10,5,6,7,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,5,6,7,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,5,6,7,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,5,6,7,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,6,7,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,6,7,4,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,6,7,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [9,10,7,8,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,8,5,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,8,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,8,3,7,6,5,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,3,8,7,5,4,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,8,7,6,4,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [2,8,7,6,1,5,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,2,8,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,2,6,5,1,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,1,8,7,5,4,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,2,6,1,5,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,2,8,7,1,5,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,2,7,6,1,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,7,2,1,6,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,5,8,7,1,4,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,8,1,7,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,4,8,1,7,5,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,4,1,6,5,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,1,6,5,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,3,8,1,7,5,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,2,1,6,5,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,5,3,1,8,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,4,3,1,8,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,5,2,1,8,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,2,1,8,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,2,1,8,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [9,7,5,3,1,10,8,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [9,6,5,3,1,10,8,7,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [9,7,4,3,1,10,8,6,5,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [9,6,4,3,1,10,8,7,5,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [9,5,4,3,1,10,8,7,6,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [9,7,5,2,1,10,8,6,4,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [9,6,5,2,1,10,8,7,4,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [9,7,4,2,1,10,8,6,5,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [9,6,4,2,1,10,8,7,5,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [9,5,4,2,1,10,8,7,6,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [9,7,3,2,1,10,8,6,5,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [9,6,3,2,1,10,8,7,5,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [9,5,3,2,1,10,8,7,6,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [9,4,3,2,1,10,8,7,6,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,8,1,4,2,3,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,1,8,2,3,6,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,2,3,8,1,4,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,8,2,3,6,1,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,2,3,8,4,1,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,2,3,8,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [2,8,4,3,6,1,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,3,8,4,2,1,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [2,8,3,6,1,4,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,3,6,4,1,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,2,1,3,8,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,3,8,2,4,1,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,2,4,3,8,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,4,8,5,3,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,1,5,3,6,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,8,1,4,2,5,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,8,5,3,1,6,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,1,3,5,8,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,1,8,7,4,2,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [1,8,2,5,4,7,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,1,2,4,5,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,2,4,5,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [3,8,2,5,4,1,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,8,4,2,6,3,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,8,2,7,4,3,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,3,8,5,1,7,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,5,3,8,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,4,1,8,2,5,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,1,8,3,5,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,1,3,8,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,1,4,3,8,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [1,8,4,6,3,5,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,4,1,8,3,5,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,8,1,3,5,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,2,8,1,3,5,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,2,8,1,3,5,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [2,6,8,1,3,5,7,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [4,6,8,1,3,5,7,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,6,1,8,3,5,7,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [2,8,1,4,3,5,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,1,6,3,5,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,1,3,6,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,1,8,6,3,5,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,1,6,3,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,6,1,3,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,6,1,3,5,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,1,3,5,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,8,1,4,3,5,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,1,8,4,3,5,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [1,8,6,4,3,5,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,8,6,5,2,1,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,7,4,1,8,6,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,8,1,4,6,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,4,1,7,2,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,5,8,4,6,7,2,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [3,6,8,4,5,7,2,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [3,7,8,4,5,6,2,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [6,8,1,4,5,3,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,7,1,4,5,3,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [3,8,1,5,4,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,7,1,4,5,3,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,7,1,4,6,3,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [5,4,7,2,8,3,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,4,7,2,8,3,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,8,1,4,6,3,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,8,1,5,4,6,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,8,3,1,4,2,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,3,8,1,4,2,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,3,1,4,2,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,8,3,1,4,7,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,4,7,2,8,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,8,1,4,7,3,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,8,1,4,5,3,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [3,8,1,5,4,7,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,7,3,1,4,2,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [6,8,3,1,4,2,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,3,1,4,6,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,5,8,7,3,4,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,3,1,4,6,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,3,1,4,5,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [3,8,1,5,4,2,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,1,4,7,3,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,4,2,7,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,4,7,2,8,5,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,3,7,1,4,8,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,8,3,1,4,7,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,7,3,1,4,5,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,3,8,1,4,5,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,8,1,4,5,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,8,3,1,4,5,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,8,1,5,4,2,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,5,8,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,8,7,4,3,2,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,2,6,3,5,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,8,2,1,5,6,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,3,1,6,8,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,2,7,1,8,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [6,5,2,8,1,7,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [2,8,3,5,1,7,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,6,5,1,7,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,3,2,8,4,1,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [2,8,3,4,1,7,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,3,1,7,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,5,3,1,7,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,6,4,1,7,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,7,5,1,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,4,8,6,2,1,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,8,5,2,1,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,8,4,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,4,3,8,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [3,7,8,4,1,2,6,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,7,8,5,1,2,6,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [4,7,8,6,1,2,5,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [5,7,8,6,1,2,4,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [6,4,7,8,3,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,3,4,8,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,4,8,3,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,8,6,2,1,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,8,7,3,1,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,3,2,4,8,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,4,8,7,3,1,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,6,8,7,1,3,5,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [2,6,8,5,1,3,7,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [2,6,8,4,1,3,7,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [5,6,8,7,1,3,4,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [7,4,6,8,2,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [1,8,4,6,3,5,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,4,8,6,2,1,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,3,5,1,6,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [2,7,6,8,1,4,5,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,8,7,6,3,2,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,6,3,2,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,7,8,6,2,3,4,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [7,3,5,8,4,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [1,8,4,5,2,7,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,5,2,7,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,3,5,8,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,5,4,6,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [3,7,1,6,8,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [1,8,4,3,6,2,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,7,1,6,8,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [7,3,5,4,6,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [1,8,4,5,2,6,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,4,8,5,3,1,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,3,5,8,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,5,8,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,4,8,5,3,2,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,8,4,5,2,3,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,4,8,5,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,5,8,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,2,8,4,6,3,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,8,5,4,6,7,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,8,3,4,5,7,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,1,8,4,6,3,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,2,4,7,3,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,3,2,4,7,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,8,7,2,5,4,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,1,8,6,2,3,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,7,6,1,8,2,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [7,6,3,1,8,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [1,8,2,6,3,4,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,1,3,6,4,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,4,1,3,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [2,7,5,8,3,4,1,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [7,3,8,5,4,1,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,3,6,1,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,8,1,3,6,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,2,3,5,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,4,8,1,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,8,1,6,5,2,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,1,2,8,3,4,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,8,3,1,7,2,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,4,2,5,1,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,8,3,6,4,7,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,3,6,4,8,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [1,8,3,2,5,7,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,3,6,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,7,3,4,2,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [7,3,8,1,6,5,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,8,1,7,6,5,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,2,8,6,5,1,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,4,2,8,5,1,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,6,4,8,1,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,8,7,1,6,5,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,4,7,8,1,5,2,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,5,7,8,1,4,2,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [4,7,8,6,1,5,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [4,8,7,6,1,5,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,7,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,7,4,8,1,5,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,3,2,4,8,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,6,8,1,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,1,6,8,4,2,3,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [3,7,5,8,1,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [4,7,6,8,1,5,2,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [7,6,8,5,1,4,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,8,7,5,1,4,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,6,8,7,1,4,2,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,6,8,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [6,7,8,5,1,4,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,6,5,1,4,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,1,8,5,2,3,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,3,8,1,5,4,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,5,3,8,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [3,6,8,1,5,4,2,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [6,8,3,1,5,4,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,6,3,1,5,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [4,8,2,1,7,5,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,1,3,2,8,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,6,2,8,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [2,7,8,1,5,3,4,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [6,7,2,1,5,3,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [4,7,2,1,8,5,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,7,8,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [7,1,6,4,5,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,6,8,7,1,4,3,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [6,8,5,7,1,4,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,5,7,8,1,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,2,3,1,5,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [4,2,8,1,6,5,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,2,4,1,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,5,1,6,3,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,5,8,4,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,8,1,6,4,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,2,8,1,4,5,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,2,6,1,5,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [2,8,6,1,5,3,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,1,2,5,8,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,4,5,6,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,8,5,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,8,7,5,1,4,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,1,5,6,4,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,6,5,4,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,7,6,8,1,4,3,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [7,8,6,5,1,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,3,7,2,8,4,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [7,2,4,5,8,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,4,5,1,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [3,7,4,5,8,2,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [6,3,7,1,8,4,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,7,4,8,6,3,1,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,8,3,5,6,7,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,8,3,5,6,7,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,8,1,5,6,7,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,4,3,6,1,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,3,8,4,1,7,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,8,2,1,7,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,8,4,2,6,1,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,8,2,5,6,7,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,1,5,6,7,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,2,5,6,7,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,1,4,3,6,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,8,4,3,6,2,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,3,1,8,2,7,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,5,8,2,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,5,4,8,6,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,4,8,6,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,4,1,6,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,4,5,8,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,6,1,8,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [1,8,5,3,6,7,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,1,8,5,6,7,3,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,7,1,5,6,8,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [6,4,7,2,3,8,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,5,7,2,8,3,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,7,3,4,2,1,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [6,7,4,2,3,1,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,7,5,3,1,2,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,7,5,4,1,8,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,10,1,2,3,4,6,7,8,9]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [8,10,1,2,3,4,5,6,7,9]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [8,11,1,2,3,4,5,6,7,9,10]=>[1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,2,4,3,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,3,5,4,1,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,8,2,1,3,4,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,7,1,8,4,5,2,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [7,4,3,5,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [2,7,6,8,3,1,4,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [7,4,3,5,8,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,8,1,7,4,3,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,1,7,4,3,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,7,8,6,2,1,4,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [7,3,2,4,8,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,4,2,6,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,8,6,2,7,3,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,3,4,2,6,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [3,7,6,8,4,2,5,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [5,8,1,7,4,2,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,7,8,6,2,4,5,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [4,8,1,7,3,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,7,8,6,3,5,2,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [6,7,8,4,1,5,3,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,1,6,8,4,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,6,5,2,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,5,6,4,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,7,4,6,8,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,7,8,1,4,6,3,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [1,8,4,6,7,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,1,8,4,7,5,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,5,8,6,1,7,3,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,8,5,1,6,7,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,5,2,1,6,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,1,8,4,2,6,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [1,8,4,6,2,5,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,2,1,8,4,7,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [2,8,7,1,4,6,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,2,5,3,6,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,1,5,6,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [1,8,7,2,3,6,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,7,8,2,6,4,3,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,1,5,8,3,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [1,8,3,7,2,5,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,7,8,1,3,2,5,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [7,1,4,2,3,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [2,8,5,7,3,6,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,6,3,4,5,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,6,8,3,4,5,7,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [2,7,8,5,3,6,4,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [4,8,1,7,2,3,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,8,2,6,4,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [6,3,5,8,7,1,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,3,8,5,1,6,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,6,1,4,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,3,6,1,4,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,4,8,1,2,3,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,1,2,3,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,6,1,2,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,1,2,8,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [3,6,8,1,2,7,4,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [4,8,6,1,2,3,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,1,5,2,7,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,4,8,1,2,5,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,7,3,1,4,8,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,3,8,7,1,4,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [6,7,4,1,2,8,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,7,4,1,2,5,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,8,6,4,1,2,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,8,3,4,2,7,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,3,4,1,6,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,2,4,6,1,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,8,2,4,3,1,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,5,8,2,3,1,7,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [7,1,3,6,2,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,8,2,5,6,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,5,8,2,7,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,5,8,1,4,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [2,8,7,1,6,4,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,7,1,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,2,3,1,4,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,1,3,2,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,1,4,2,5,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [2,8,1,3,4,6,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,8,1,2,5,3,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [3,8,4,1,2,5,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,5,7,3,8,2,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,7,5,2,1,8,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,6,8,3,1,7,2,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [6,1,4,8,3,2,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [3,8,2,5,6,1,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,4,2,5,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,2,6,8,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,5,8,1,6,3,2,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [6,4,3,7,8,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [7,1,3,5,4,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,2,8,1,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,7,3,8,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [6,3,7,1,8,4,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,7,2,4,8,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,7,1,3,2,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,2,7,1,3,4,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,4,2,7,1,8,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,7,3,8,2,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,3,2,1,4,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,1,8,3,4,2,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,4,1,8,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,4,8,6,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,4,8,6,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,7,8,3,2,5,1,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,3,7,8,2,5,4,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,2,4,7,1,8,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,3,7,1,8,2,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,7,2,1,8,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,7,2,8,5,4,1,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [1,8,2,4,6,3,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,2,8,3,5,1,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,8,4,5,3,6,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,3,4,7,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,4,6,3,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,5,4,6,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,3,8,1,2,4,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,2,4,8,5,1,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,5,4,8,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,4,3,5,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,2,4,8,5,1,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,6,3,8,5,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,2,5,8,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,8,7,4,5,2,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,8,6,7,5,2,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,8,4,7,5,2,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,2,7,4,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,2,4,7,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,8,2,6,7,5,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,4,6,7,5,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,6,7,4,5,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,8,7,2,4,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,2,8,7,5,3,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [6,2,4,8,7,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,4,5,8,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,4,5,2,8,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,4,5,8,7,2,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,8,7,2,5,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,2,8,7,4,5,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,8,7,5,2,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,6,8,7,5,2,3,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,6,5,8,7,2,3,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [2,6,8,7,4,5,3,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [4,2,8,6,7,5,3,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,2,8,4,7,5,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,8,2,7,5,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,6,8,2,7,5,3,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [2,6,8,4,7,5,3,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [4,6,8,7,2,5,3,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,6,5,8,2,7,3,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [6,8,7,4,2,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,8,6,4,7,5,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,6,2,7,5,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,9,4,8,3,7,1,2,6]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,9,3,5,8,1,2,4,7]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,9,5,8,1,2,3,4,7]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,7,9,1,2,3,4,6,8]=>[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [7,9,1,2,3,4,5,6,8]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,10,5,9,2,4,8,1,3,7]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,10,5,9,4,8,1,2,3,7]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,10,2,4,6,9,1,3,5,8]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,10,4,6,9,1,2,3,5,8]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,10,6,9,1,2,3,4,5,8]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,10,1,2,3,4,5,7,9]=>[1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [6,2,5,7,4,8,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,7,3,2,5,8,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [7,5,1,8,3,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,7,8,2,6,3,4,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [7,1,6,3,5,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,1,7,8,4,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [7,3,1,2,5,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,2,8,5,7,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [3,8,4,7,2,5,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,8,4,6,7,3,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,6,5,4,1,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,7,6,8,3,4,2,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [2,8,1,6,5,7,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,6,8,2,5,3,7,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [5,2,6,8,4,3,1,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [7,8,1,5,4,3,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,2,4,8,5,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,7,5,1,8,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,7,8,5,4,6,1,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [5,7,4,3,8,6,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,8,1,6,3,5,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,8,5,6,1,2,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [4,6,1,8,3,2,7,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,7,8,1,3,2,6,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [4,7,8,3,1,2,6,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [2,7,8,3,4,6,5,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [4,7,8,2,1,3,6,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [4,6,1,8,2,3,7,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,6,2,8,1,3,7,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [6,5,7,4,2,8,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,7,5,3,8,2,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,2,3,7,8,4,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [7,5,8,2,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,1,6,5,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,7,8,2,1,4,5,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,3,8,4,7,2,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,5,8,2,7,1,6,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [6,2,8,5,3,1,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,8,6,5,2,1,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,5,7,2,1,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,8,3,4,1,5,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,2,5,7,4,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,8,5,6,7,1,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,2,8,3,1,5,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,7,8,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [7,2,8,5,1,4,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,7,4,8,3,6,2,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,8,6,1,3,5,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,8,3,2,4,7,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,2,1,6,4,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,6,8,3,2,1,5,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [7,3,8,2,5,4,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,8,2,6,5,3,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,8,5,4,1,3,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [5,4,8,7,3,2,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,4,8,3,7,2,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,3,8,5,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,4,8,7,6,2,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,8,1,5,7,4,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,5,7,3,1,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,3,6,7,1,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,7,8,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [6,8,2,1,7,4,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,7,2,6,3,8,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [6,3,2,4,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,3,7,2,8,1,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [6,3,2,8,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,3,8,2,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,8,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,8,1,7,6,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,2,1,3,8,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,5,2,8,1,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [2,7,6,8,1,5,4,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [7,8,5,1,6,2,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,4,8,6,1,2,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,1,8,3,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,8,7,1,6,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,5,4,8,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,6,4,3,2,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [8,6,5,4,3,2,9,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,1,4,8,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,1,2,5,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,7,4,2,5,1,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [5,7,2,4,6,8,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,7,4,6,3,1,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [7,5,1,4,3,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,7,1,3,8,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,4,6,8,3,1,2,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [6,4,8,1,3,7,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [2,6,8,4,3,5,1,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [7,5,8,6,2,1,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,8,1,3,6,5,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,3,5,4,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,4,2,3,6,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,8,4,1,2,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,8,3,2,7,1,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,8,5,6,3,7,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,4,2,5,8,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [2,7,8,3,4,5,1,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [7,5,6,8,2,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [2,8,6,5,3,4,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,4,5,3,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,4,3,5,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,1,4,2,6,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,7,6,1,2,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,6,2,1,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,8,2,4,5,6,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,2,4,1,6,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,5,6,2,4,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,6,5,3,7,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,6,5,1,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,2,1,4,6,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,2,5,4,6,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,7,3,4,5,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,1,2,4,6,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,7,6,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,6,2,3,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,8,1,5,2,6,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,7,5,3,4,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,5,4,3,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,8,7,6,1,3,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,6,4,1,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,4,3,5,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,4,6,2,3,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,7,6,4,3,1,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [5,7,6,3,1,4,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [7,5,2,3,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,7,1,3,8,4,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [7,6,1,3,4,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,8,3,6,5,2,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,8,6,5,4,2,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,2,3,5,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,2,5,3,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,6,8,5,1,2,4,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [3,7,5,1,8,2,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [7,1,2,8,3,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,7,8,2,5,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,7,5,2,8,1,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [7,1,4,5,8,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,7,6,4,2,8,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [7,5,6,1,2,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,7,6,8,4,2,1,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [5,1,6,8,4,2,7,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [7,4,8,2,3,6,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,6,8,4,7,3,2,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [6,4,7,8,5,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [3,7,4,8,1,2,5,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [7,4,3,8,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,8,3,2,5,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,8,3,4,2,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,6,8,3,1,4,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,8,5,2,1,3,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,2,6,3,1,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,2,3,7,4,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,2,3,4,6,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,2,1,6,3,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,1,5,4,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,1,4,5,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,1,4,5,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,1,5,4,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,1,6,2,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,1,2,4,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,1,2,8,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,7,1,2,5,4,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [5,7,1,6,2,3,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [6,5,1,8,7,3,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,8,5,2,3,4,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,6,8,7,1,5,3,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [5,7,6,4,1,3,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [7,6,2,4,5,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,7,5,3,8,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [7,6,1,5,3,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,8,5,6,7,2,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,6,4,1,2,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,6,1,7,2,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,3,2,6,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,1,7,2,6,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,7,2,5,1,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,7,2,1,6,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,1,5,2,6,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,8,5,1,6,2,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [6,5,2,7,8,1,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [7,1,2,8,5,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,7,8,5,2,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,5,6,2,1,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,3,5,8,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,6,7,8,5,1,3,2]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [5,1,8,6,3,4,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,6,8,1,5,3,7,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [6,4,5,8,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,8,1,3,4,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,6,8,3,1,2,7,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [6,1,8,3,5,2,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,6,8,3,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,8,3,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,8,2,4,3,6,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,2,3,1,6,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,2,3,5,1,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,2,3,5,6,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,8,4,3,5,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [2,7,8,6,1,4,3,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [2,7,3,8,1,6,4,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [7,5,1,8,2,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [2,7,8,4,1,6,3,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [4,8,2,5,7,6,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,2,5,1,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,6,5,2,8,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,6,8,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,8,5,1,6,7,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,5,1,6,7,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,8,6,1,3,5,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,7,2,8,1,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [4,7,6,8,3,2,5,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [2,7,5,8,1,3,4,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [7,6,2,8,5,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,8,1,4,2,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,3,8,5,7,4,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,4,6,8,5,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,5,8,2,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,6,8,2,4,1,7,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [4,5,8,2,6,7,3,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [5,2,8,1,6,7,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,3,4,6,7,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,2,8,1,6,7,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,1,8,2,6,7,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,8,5,3,6,4,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,8,5,7,4,1,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,8,4,1,6,7,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,8,1,4,6,7,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,2,7,3,8,4,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,4,3,2,8,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,2,5,3,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,4,8,3,2,6,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,5,8,2,4,6,1,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [6,4,7,8,2,3,1,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,8,3,6,4,2,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,6,2,5,3,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,7,3,5,1,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,3,8,6,4,1,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,2,7,3,8,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,1,4,3,8,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [1,8,4,2,7,6,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,7,2,6,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,1,5,7,8,2,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [7,4,8,6,1,3,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,6,1,2,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,7,4,8,2,1,3,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,6,8,2,5,1,3,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [7,4,6,2,1,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,7,2,3,8,1,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,4,7,5,8,1,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,4,8,5,1,6,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,8,3,6,1,7,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,4,2,1,5,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,4,1,8,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,1,2,8,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,5,1,3,2,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,7,1,2,5,8,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [6,8,4,1,2,7,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,5,8,1,2,6,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,8,1,6,3,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,8,2,1,7,3,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,6,1,8,3,7,2,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,7,1,2,8,6,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,8,4,1,7,6,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,6,8,1,5,4,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,5,8,6,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,1,8,7,3,6,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,8,7,6,2,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [1,8,6,7,3,4,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,7,3,4,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,7,3,5,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,6,2,3,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,6,2,4,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [9,10,5,6,7,8,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,3,6,7,4,5,8,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,3,4,5,6,7,8,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,9,10,5,6,1,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [9,10,7,8,1,4,5,2,3,6]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,9,10,1,4,5,2,3,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [9,10,1,6,7,4,5,2,3,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,1,4,5,6,7,2,3,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,1,6,7,2,3,4,5,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,1,2,5,6,3,4,7,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,4,8,2,3,6,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,4,8,5,2,3,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,8,6,2,4,5,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,6,2,3,5,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,7,4,1,2,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,5,3,4,1,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,3,7,2,1,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,1,3,7,4,8,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [7,1,6,4,8,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [1,8,5,7,2,3,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,1,5,8,2,3,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,1,7,3,8,2,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [6,1,5,7,8,2,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [7,4,8,6,1,2,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,8,7,5,1,2,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,5,8,4,1,2,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,6,4,8,2,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,2,3,8,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,8,5,1,6,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,6,1,3,8,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,8,1,3,6,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,1,8,2,3,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,7,1,3,8,2,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [7,6,8,1,5,2,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,5,8,6,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,8,2,7,3,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,1,8,7,2,3,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,1,8,7,2,3,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [1,8,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [8,7,6,4,3,5,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,7,6,3,5,4,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [1,9,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [1,8,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,9,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [7,1,5,8,3,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,4,3,2,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,4,2,3,8,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,4,2,7,5,8,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [7,1,4,6,5,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,4,6,5,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,4,6,3,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,4,3,2,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,4,6,5,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,4,6,5,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,4,6,5,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,4,2,3,8,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,4,2,7,5,8,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [4,8,3,2,5,6,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,7,3,5,1,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,7,1,3,5,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,3,1,2,6,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,3,1,2,6,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,1,6,3,4,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,5,1,3,7,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,5,1,3,4,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,3,4,2,6,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,8,7,4,1,5,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,3,2,1,6,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,4,3,1,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,3,8,2,1,6,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,3,8,5,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,2,8,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,3,8,7,5,1,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,3,7,8,4,1,2,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [6,2,5,8,3,1,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,4,8,3,1,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,3,8,7,4,1,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,5,3,8,4,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,4,3,8,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,5,3,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,4,6,3,8,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,6,3,8,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,6,3,5,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,8,4,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,8,4,3,2,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,8,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,5,8,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,8,4,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,8,3,6,2,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,8,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,8,3,5,2,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,7,3,5,2,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,4,8,3,7,2,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,5,8,3,7,2,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,8,4,7,2,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,8,4,7,3,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,7,3,8,2,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,4,7,3,8,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [6,7,3,1,4,8,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,2,7,1,8,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [6,7,2,1,8,4,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,7,2,1,8,4,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,7,3,1,5,8,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,2,7,1,8,3,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [6,7,2,1,8,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,2,7,1,8,3,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [7,5,2,8,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,8,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,8,6,2,4,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,3,1,8,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,2,8,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,8,5,2,4,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,8,4,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,8,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,3,8,2,5,7,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,3,8,1,5,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,7,8,2,4,1,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,6,7,3,8,2,4,1]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [5,3,8,2,4,6,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,3,8,2,4,7,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,7,4,2,6,8,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [6,4,8,2,7,5,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,6,3,7,8,2,4,1]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [5,6,3,8,2,4,7,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [6,3,7,2,5,8,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,3,6,8,2,4,7,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [3,5,8,6,4,2,1,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [5,8,6,3,4,2,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,7,8,5,4,1,6,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [2,8,5,4,1,6,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,6,3,5,4,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,8,6,4,2,1,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,7,8,6,3,5,4,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [4,3,8,5,7,6,2,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,6,2,1,8,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [3,7,8,5,6,4,2,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,8,5,6,4,2,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,6,4,2,1,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,7,8,6,4,2,1,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [7,6,2,4,1,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,2,3,8,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,7,8,4,2,1,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,8,4,2,1,6,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,7,6,2,3,8,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,8,5,7,6,2,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,5,6,1,8,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [2,7,5,8,4,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [2,8,4,3,6,1,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,4,7,8,3,2,1,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,6,5,4,9,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,9,8,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,5,8,9,4,3,2,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,6,4,8,9,3,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [8,7,6,5,10,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,5,3,2,8,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,6,5,3,9,8,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,5,2,7,8,4,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [7,10,9,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [8,6,9,10,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,9,8,7,4,3,2,1,6]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,6,4,3,9,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,4,8,9,6,3,2,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [8,7,6,4,10,9,3,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,6,3,8,9,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [7,6,5,2,9,8,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [1,8,6,3,2,5,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,8,5,2,1,4,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,5,2,3,1,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,6,2,3,1,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,2,6,3,1,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,1,6,3,2,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,8,2,4,5,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,8,3,2,6,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,8,2,7,1,5,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,7,2,1,4,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,7,1,3,4,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,6,1,3,4,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,7,8,2,4,5,6,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,6,8,1,3,4,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,8,2,3,1,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,4,2,8,1,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,2,8,3,1,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,4,2,1,3,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,7,1,3,2,6,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [6,7,1,2,4,5,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [1,8,2,3,5,6,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,8,1,2,4,5,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,8,1,3,2,6,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,2,1,3,6,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,4,8,1,2,3,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,8,3,2,7,6,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,3,8,2,7,1,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,1,8,3,7,2,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,1,8,7,3,2,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,7,8,1,2,5,3,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,7,8,2,6,4,1,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [4,2,8,6,3,1,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,7,2,4,8,6,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [4,7,1,5,8,2,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,7,6,4,8,2,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [7,4,8,5,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,8,5,4,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [1,8,2,5,6,3,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,8,3,1,4,2,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,8,1,5,2,3,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,4,1,5,2,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,6,1,8,4,3,2,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [5,1,8,6,4,3,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,1,2,5,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,1,8,7,4,3,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,1,2,5,4,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,4,1,6,3,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,5,1,8,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,1,8,5,2,3,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,5,8,1,4,3,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,1,6,8,2,4,3,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [5,3,7,8,2,4,1,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [6,3,1,5,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,6,7,8,2,3,1,5]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [7,4,6,8,2,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,4,8,3,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,3,8,7,2,4,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,6,8,7,2,3,1,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [5,6,8,7,2,3,1,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [6,4,8,7,2,3,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,6,4,8,2,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,7,6,8,2,3,1,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,7,6,8,2,3,1,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,7,4,8,2,5,1,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [4,7,8,6,2,3,1,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [7,5,8,6,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,6,4,2,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [4,8,7,6,2,3,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,8,7,5,2,3,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,4,3,8,7,1,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,8,3,7,1,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [2,6,8,5,3,7,1,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [4,6,8,1,5,7,3,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,6,1,8,5,7,3,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,6,1,8,5,3,7,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [2,6,8,5,3,1,7,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [2,6,8,5,1,7,3,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [4,6,8,3,5,1,7,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,6,8,3,1,5,7,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,6,3,8,1,5,7,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,6,3,8,5,7,1,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [6,5,2,8,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,2,8,7,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,5,8,7,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,5,8,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,6,3,8,1,7,5,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,6,1,8,3,7,5,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,6,8,1,3,7,5,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [6,2,8,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,2,8,5,7,1,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,2,8,7,5,3,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,4,1,8,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,1,4,8,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,1,8,7,3,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,2,8,7,5,1,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,6,8,4,2,1,5,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [6,8,2,3,4,1,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,1,8,2,3,5,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,3,2,1,4,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,8,1,4,3,5,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,1,2,3,4,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [1,8,2,3,4,7,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,1,3,5,4,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,2,1,5,6,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,2,1,6,5,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,7,8,3,5,4,2,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,4,1,8,3,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,8,4,6,2,1,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,8,7,3,5,4,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,1,8,2,7,4,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,1,7,2,8,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [6,1,2,8,5,3,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,2,1,8,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,3,2,8,4,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [2,7,8,4,3,5,1,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [7,1,8,3,5,4,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,8,2,3,4,6,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,3,4,8,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,8,1,3,4,7,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,6,2,3,4,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,2,3,4,1,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,6,2,3,4,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,4,8,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,8,7,3,5,6,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,7,5,3,6,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,4,2,1,6,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,4,1,2,6,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,2,8,1,6,3,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,2,1,4,7,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,2,5,1,7,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,8,4,1,2,6,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,8,1,5,2,7,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,1,2,4,7,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,2,8,3,6,7,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,8,7,6,2,4,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,7,6,4,1,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,8,2,6,5,1,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,8,7,6,4,2,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,7,6,3,1,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,7,6,2,4,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,6,3,4,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,1,4,5,6,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,1,2,8,5,7,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,1,8,5,7,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,1,8,5,7,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,1,3,8,5,2,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,8,2,6,5,3,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,8,7,6,4,3,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,7,6,1,2,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,7,6,2,1,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,7,6,2,1,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,7,6,1,3,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,7,6,4,1,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,8,3,6,5,1,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [3,8,7,6,4,2,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,8,6,5,1,2,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,4,8,5,3,1,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,8,5,2,4,1,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,3,2,5,1,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,4,2,3,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,8,2,1,6,7,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,7,2,8,6,4,3,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [7,3,2,8,6,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [2,7,8,4,6,3,1,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [7,3,5,2,6,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [2,8,6,4,3,7,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,2,8,7,3,6,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,5,8,7,1,2,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,5,8,7,3,2,1,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [2,6,8,1,7,5,4,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [3,6,8,4,7,2,1,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [3,5,8,4,7,2,1,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [5,6,8,2,3,7,1,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,6,8,4,1,2,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,6,8,1,3,2,7,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,6,8,4,3,2,1,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [7,1,2,8,6,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,4,8,6,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,1,8,6,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,4,8,3,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,4,8,3,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,5,8,3,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,6,5,8,1,2,7,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [7,6,1,4,8,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,1,3,8,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,5,1,8,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,5,3,8,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,1,4,8,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,1,3,8,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,3,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,5,4,8,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,5,2,3,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,1,4,2,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,1,2,3,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,2,4,3,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,5,4,2,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,5,2,3,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,2,4,3,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,1,4,3,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,5,4,3,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [2,7,8,3,5,4,1,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [2,6,8,3,5,4,1,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [4,7,1,2,8,5,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [4,8,1,2,7,5,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,7,3,2,8,1,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [7,3,4,2,6,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,1,2,8,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,1,2,6,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,3,1,5,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,4,1,5,8,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [4,7,5,1,6,8,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,1,8,2,6,5,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,5,6,3,1,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,4,8,2,1,5,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,7,3,2,5,1,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [6,8,3,2,5,1,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,4,6,8,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [6,7,5,4,1,8,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [7,6,4,2,1,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,8,6,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,1,9,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,10,9,8,7,6,5,4,1,3]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [3,9,8,7,6,5,4,1,2]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,7,6,5,3,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,8,6,1,5,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,9,1,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,3,8,6,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,2,9,7,6,5,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,1,10,8,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,8,5,7,6,3,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,8,1,5,3,2,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,1,5,4,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,1,5,2,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,7,8,1,3,2,6,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,8,1,6,7,2,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,7,6,1,8,2,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,7,2,5,1,8,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [7,5,1,6,8,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,7,1,8,2,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,7,3,8,1,2,4,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,5,4,1,8,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,1,4,8,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,8,1,3,2,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,8,4,1,3,2,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,1,7,3,2,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,1,8,4,3,6,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,1,8,6,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,6,8,1,7,2,3,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [6,5,8,1,2,7,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,3,1,8,5,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,7,8,3,1,5,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,8,1,7,3,2,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,4,8,2,1,3,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,3,8,1,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [2,6,8,7,1,5,4,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [7,8,5,2,3,6,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,5,2,3,4,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,3,4,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,7,1,3,4,6,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [6,4,7,1,3,5,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,3,7,2,4,5,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [3,7,2,4,8,1,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [7,2,4,6,8,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,3,4,6,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,7,2,5,8,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,3,5,7,2,8,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,5,7,2,8,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,5,7,1,3,4,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [7,5,3,2,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,4,2,1,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,4,2,1,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,5,3,1,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,3,5,6,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,3,4,1,5,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,7,4,2,1,5,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,6,7,3,1,8,2,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [5,6,3,7,8,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [5,6,7,2,3,8,1,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [7,4,5,2,8,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,7,3,2,4,8,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [7,6,4,2,1,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,3,4,1,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,3,2,4,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,3,2,5,1,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,4,5,2,6,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,5,6,1,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,6,2,1,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,3,5,1,2,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,5,7,2,1,8,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,5,7,2,1,4,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,7,8,3,6,4,1,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [3,7,8,5,6,4,1,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,7,8,5,6,1,4,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [1,7,8,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [3,7,5,8,6,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,7,5,8,6,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [5,7,3,8,6,4,1,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [7,3,8,5,6,4,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,5,8,6,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,3,7,8,1,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [7,3,5,8,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,8,5,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,8,1,5,6,3,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,1,8,5,6,3,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,5,8,6,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,1,7,8,3,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [5,1,7,3,8,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [7,1,5,3,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,5,8,3,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,8,1,5,3,6,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,5,1,6,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,3,5,8,1,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,3,7,1,8,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,7,3,1,8,6,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,7,3,8,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [3,7,5,8,1,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [1,7,8,5,3,6,4,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [3,7,8,5,1,6,4,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [5,7,8,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,7,8,6,3,1,4,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [7,5,8,6,1,3,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,7,8,1,6,3,4,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,7,8,1,3,6,4,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [3,7,8,1,5,6,4,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [1,7,8,3,5,6,4,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [3,7,1,8,5,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [5,7,1,8,3,6,4,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [5,7,1,8,6,3,4,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [7,5,1,8,6,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,8,1,6,3,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,8,5,1,6,3,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,1,3,6,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,5,8,1,3,6,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,1,8,3,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,1,3,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,7,1,3,8,6,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [3,7,1,5,8,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [7,3,1,5,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,1,8,5,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,8,1,5,6,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,8,3,1,5,6,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,3,5,6,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,1,8,3,5,6,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,3,8,5,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,3,5,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,7,3,4,6,8,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,7,3,4,8,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,7,3,4,8,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,7,3,4,1,8,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,7,3,4,1,6,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [7,3,5,6,1,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,7,3,1,4,6,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [5,7,3,1,4,8,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,7,3,1,4,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [7,8,3,5,1,2,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,3,8,5,1,2,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,5,8,1,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,4,7,8,6,1,3,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [7,5,6,2,8,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,7,2,5,8,3,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,8,6,7,5,4,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,2,7,8,3,4,1,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,1,8,2,3,4,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,7,8,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [7,1,3,4,6,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,8,7,1,4,6,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,1,8,3,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [4,7,2,6,3,8,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,7,8,6,3,1,2,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,8,1,5,6,7,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,7,2,4,8,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [2,8,3,6,7,5,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,4,6,3,2,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [4,7,3,2,1,8,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [6,4,7,5,2,3,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,4,8,1,7,3,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,8,7,2,3,1,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,6,8,1,3,5,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,5,2,3,1,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,4,2,1,8,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,2,1,5,6,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,7,8,2,5,3,1,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,4,8,1,2,5,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,4,3,2,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,8,3,4,2,1,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,5,8,3,7,4,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,1,4,8,3,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,8,7,5,3,4,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,8,6,3,1,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,3,7,2,8,5,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,2,8,4,7,6,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,2,4,8,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,4,8,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,1,3,8,7,2,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,1,4,2,8,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,3,5,1,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,4,2,5,1,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,5,8,2,1,7,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [5,2,8,4,1,3,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,3,1,7,2,8,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [7,5,1,2,8,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,1,2,8,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,2,8,1,3,7,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,7,5,6,8,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [7,5,2,6,4,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,6,3,4,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,8,4,7,5,3,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,8,7,5,6,3,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,8,5,3,2,1,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,1,3,7,5,8,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,8,6,3,7,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,7,3,6,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,2,8,7,1,4,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,7,3,8,2,1,5,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [6,5,3,8,2,1,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,6,3,1,8,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,2,1,8,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,1,2,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,8,4,1,3,7,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,5,7,1,3,8,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,8,3,1,7,4,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,2,1,7,6,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,2,7,1,8,5,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,1,8,3,6,5,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,1,8,7,5,6,3,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [8,1,2,3,4,5,9,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [8,1,2,3,4,9,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [8,1,2,9,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,1,9,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,1,2,3,4,5,6,10,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [3,5,8,7,2,6,4,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [5,8,2,7,1,6,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,6,3,8,5,2,1,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [7,6,3,8,5,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,3,4,6,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,3,4,6,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,3,6,5,1,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,8,3,7,5,1,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,2,8,5,7,6,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,8,6,4,5,1,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,7,3,6,5,8,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,8,3,7,5,2,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,1,7,3,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,2,7,8,4,6,3,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [5,2,8,3,7,6,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,8,3,2,5,7,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,7,3,8,5,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,2,3,4,8,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,2,3,4,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,8,3,1,5,7,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,2,3,4,1,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,2,3,4,1,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [1,8,4,2,3,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,8,6,7,5,1,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,1,8,4,6,5,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,8,5,1,7,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,8,5,7,1,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,7,2,5,1,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,1,8,5,6,2,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,8,7,1,2,5,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,5,8,7,1,2,6,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [3,8,7,1,5,6,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,5,8,7,1,6,2,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [4,1,8,6,2,7,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,7,1,8,2,6,3,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [2,8,7,1,5,6,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,1,8,2,4,6,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,8,3,7,2,5,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,7,1,3,5,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,7,1,8,2,3,6,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [7,1,8,2,3,5,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,2,8,6,7,5,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,3,6,1,7,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,6,1,7,2,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,7,1,8,2,6,5,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,2,8,6,7,1,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [2,8,3,6,7,1,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,7,2,3,6,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,2,6,3,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,3,6,2,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,7,6,3,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,7,3,5,6,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,3,6,7,5,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,6,7,2,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,7,8,2,3,6,5,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [2,8,5,7,4,6,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,6,4,3,5,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,6,8,3,5,4,7,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [2,7,5,8,4,6,3,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [4,8,1,7,6,3,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,1,8,6,2,5,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [6,3,8,7,5,2,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,3,5,8,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,6,4,2,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,3,6,2,5,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,4,8,2,1,6,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,8,5,2,1,4,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,5,2,3,1,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,6,2,3,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,2,5,8,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,6,5,8,1,3,2,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,7,1,5,3,8,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,7,8,1,3,6,2,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [5,8,1,3,2,4,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,6,1,3,2,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,4,8,7,2,3,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,4,8,7,3,1,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,8,3,7,2,5,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,4,6,8,2,3,7,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [5,7,4,2,8,3,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,4,7,2,1,8,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,8,5,4,1,3,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,4,2,6,1,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,2,5,6,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,4,2,8,1,5,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,7,8,2,5,1,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,3,5,6,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,3,1,5,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,5,2,6,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,3,7,2,8,6,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,3,8,2,6,7,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,3,8,2,5,4,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,8,2,1,5,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,3,1,8,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,3,7,8,2,6,4,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,7,8,5,6,3,2,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [5,3,7,6,8,2,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,7,8,4,6,2,1,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,8,4,3,6,7,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,6,4,7,2,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,3,8,6,2,7,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,7,5,8,6,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,8,6,7,5,3,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,3,8,7,2,4,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,8,7,2,6,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,3,8,6,7,2,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,3,7,8,6,2,4,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [5,7,6,4,8,2,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,8,4,6,7,2,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,4,2,8,1,7,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,6,3,8,7,2,4,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [6,7,4,3,1,8,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,7,4,3,6,8,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,7,3,8,6,2,4,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,5,8,6,7,3,2,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,6,8,5,7,3,2,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [5,6,8,3,7,2,4,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,4,6,8,2,7,1,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [5,7,8,2,6,4,1,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [3,6,8,5,7,1,4,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [6,1,3,8,2,7,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,4,1,8,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,3,4,1,5,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [3,7,4,1,8,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [4,7,1,8,2,6,3,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [7,5,1,2,3,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,4,5,1,3,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,1,3,2,5,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [6,7,1,4,3,5,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,8,2,3,1,5,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,4,3,5,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,4,1,5,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,4,1,5,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [6,7,2,4,3,5,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [6,7,2,3,1,5,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [6,7,3,5,4,8,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,7,4,5,1,3,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [6,7,5,8,1,3,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,2,4,7,5,8,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [3,7,4,1,8,6,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [8,2,1,7,6,5,4,3,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [7,3,1,6,5,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,8,1,5,4,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,8,2,6,5,4,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [10,1,11,9,8,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,3,1,7,6,5,4,9,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,2,9,1,6,5,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,2,1,5,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,8,6,1,4,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,2,7,6,8,4,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [3,8,7,2,5,4,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,9,2,7,6,5,4,1,8]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [9,3,1,8,7,6,5,4,10,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [9,2,10,1,7,6,5,4,3,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,4,1,7,6,5,9,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [8,3,2,1,6,5,4,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,2,9,7,1,5,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,1,6,8,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,2,1,5,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,8,6,5,1,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,9,8,2,6,5,4,1,7]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,10,2,8,7,6,5,4,1,9]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,7,1,4,3,2,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [3,5,8,7,2,4,6,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [1,7,8,2,5,4,3,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [4,7,3,5,1,8,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,7,8,3,5,2,1,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [4,7,6,2,1,8,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [2,7,4,8,6,5,1,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [6,3,7,2,8,5,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,2,7,4,1,8,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [3,7,2,4,8,6,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [3,7,8,5,2,4,1,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [6,7,2,5,8,4,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,2,7,8,4,3,1,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [6,2,7,5,3,1,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,7,2,8,4,6,3,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [5,7,3,1,8,4,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [2,6,8,5,7,4,1,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [5,7,4,6,2,1,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [5,6,4,8,3,7,2,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [6,7,1,8,3,4,2,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,8,3,5,1,4,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,2,4,3,8,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [1,8,2,7,4,5,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,5,6,4,7,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,7,3,6,4,8,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [6,7,3,5,1,4,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [1,8,5,6,3,4,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,6,4,7,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,7,1,6,4,8,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,6,5,8,1,7,2,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,6,5,8,3,7,1,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,6,5,8,2,3,1,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [1,8,3,5,4,7,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,7,2,3,1,8,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [2,7,1,8,3,6,4,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [3,7,4,8,6,1,5,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [4,5,7,8,2,6,3,1]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [5,2,6,8,3,7,4,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [6,1,4,8,7,2,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,1,8,4,7,3,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,8,3,4,7,1,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,3,5,7,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,2,7,8,3,6,4,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,6,7,8,2,5,3,1]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [7,4,5,2,8,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,8,4,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,8,4,5,2,7,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,2,5,3,7,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,3,8,4,2,7,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,2,5,3,8,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,7,4,2,8,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [4,7,5,2,8,6,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,6,2,8,3,7,4,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [5,7,8,3,2,6,4,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,6,8,3,2,7,4,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [3,6,8,4,2,7,5,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [5,8,4,7,2,3,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,6,8,1,3,7,4,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [6,7,4,8,1,5,3,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,7,2,8,3,6,4,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [7,4,2,8,6,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,8,5,3,7,2,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,5,2,3,7,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,5,3,8,2,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,2,3,8,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [3,7,4,5,8,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [6,7,3,4,8,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,4,2,7,8,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [7,4,2,5,8,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,8,3,4,7,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,8,4,2,5,7,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,5,8,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,5,8,1,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,4,7,8,5,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [3,6,8,4,5,7,1,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [7,8,1,4,6,2,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,2,3,5,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,4,5,2,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,2,3,4,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,2,3,6,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,8,2,1,6,7,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,8,2,1,4,3,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,2,4,3,1,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,7,2,4,3,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,4,2,8,3,5,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,4,8,5,3,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,4,3,8,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,2,1,4,8,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,2,1,8,7,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,1,8,4,3,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,8,5,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,8,5,7,2,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,6,8,7,5,2,1,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [2,6,8,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [4,2,8,6,5,7,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,6,8,7,2,1,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,6,5,8,2,1,7,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [6,8,7,4,2,1,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,8,6,4,7,1,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,6,2,1,7,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,5,3,1,4,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,7,4,8,3,5,1,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [2,7,4,8,3,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [7,2,8,4,3,5,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,3,8,4,2,5,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,3,8,4,2,1,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,1,8,4,3,5,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,7,8,4,3,5,2,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,1,4,8,3,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,8,1,5,6,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,8,4,3,5,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,3,1,8,4,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,7,3,8,4,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,1,4,8,3,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,7,4,1,3,8,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [7,2,1,8,4,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,7,1,8,4,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,2,7,8,4,3,1,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,2,7,8,4,3,5,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,8,1,3,6,2,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,2,7,8,4,5,3,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,2,1,8,4,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,7,8,1,5,6,2,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [6,3,7,8,1,5,2,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,7,1,2,8,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [4,6,1,8,3,2,5,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,7,1,8,3,5,2,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,1,8,7,6,2,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,1,7,3,5,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,1,6,3,2,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,8,1,5,3,7,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,5,2,4,1,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,1,2,3,5,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,8,4,6,3,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,8,2,4,3,1,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,7,2,4,3,1,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [3,8,1,2,4,5,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,7,1,8,6,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,8,1,7,6,4,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,6,2,4,3,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,2,3,5,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,2,5,3,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,5,2,3,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,2,3,4,5,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,4,6,8,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,7,3,2,8,6,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,8,2,6,7,4,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,1,5,6,7,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,2,4,6,7,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,1,3,4,2,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,2,4,3,1,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,7,6,1,8,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [4,7,2,3,8,5,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [7,1,3,6,4,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,1,4,8,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,3,7,8,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,2,3,8,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,2,3,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,8,3,5,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,8,3,6,7,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,6,8,3,5,2,7,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [5,7,8,3,2,4,1,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,8,2,3,5,6,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,8,2,3,1,4,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,2,7,4,8,3,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [3,7,8,2,1,4,6,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,7,5,2,8,4,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [7,2,3,4,8,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [3,7,4,1,8,2,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [6,3,7,4,8,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [1,8,3,2,4,5,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,2,4,8,1,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,1,6,8,3,4,2,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [5,2,8,3,4,6,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,2,8,4,3,1,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,2,8,1,3,6,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,8,1,4,6,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,7,8,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [5,3,8,4,1,2,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,4,3,6,2,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [1,8,3,6,5,2,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,4,7,6,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,1,4,6,7,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,2,5,1,7,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,3,8,2,5,1,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,1,8,5,2,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,5,1,3,6,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,3,1,2,8,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,1,8,2,3,7,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,3,8,7,2,1,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,7,3,5,1,4,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,4,7,5,8,2,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,7,8,4,2,6,3,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,7,4,1,6,8,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [6,8,4,5,7,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,4,6,1,7,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,6,7,2,4,8,3,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [5,4,8,2,6,7,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,4,8,6,2,7,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,4,8,5,7,2,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,4,8,5,6,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,6,8,5,7,2,3,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [5,6,8,2,4,7,3,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,6,3,8,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [5,6,3,8,2,7,4,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [5,3,6,8,2,7,4,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [6,7,3,8,5,2,4,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,4,7,2,5,3,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,2,7,5,1,4,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [2,7,8,5,3,6,1,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [6,3,7,8,4,2,5,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,3,7,8,4,6,2,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [5,7,8,2,4,6,3,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [2,6,8,4,7,3,5,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [3,7,4,8,6,2,1,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [6,3,1,8,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,4,8,1,7,6,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,4,1,7,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,5,4,1,8,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [1,8,2,5,6,3,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,2,8,4,5,1,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,8,5,2,3,7,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,5,3,6,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,6,8,4,3,5,7,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [7,5,8,3,2,1,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,8,4,1,5,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,8,1,2,6,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,4,3,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,3,6,8,5,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [2,7,8,3,6,5,1,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [2,7,8,5,4,6,3,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [6,2,5,8,4,1,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [2,7,8,4,6,1,3,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [6,1,2,8,3,7,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,1,2,8,5,4,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,5,7,8,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,5,2,1,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,2,5,3,8,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,5,2,3,8,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [8,7,6,5,4,2,1,3,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [1,9,8,7,6,5,3,2,4]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [1,8,7,6,2,5,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,9,8,7,6,5,2,4,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,1,9,2,3,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [8,1,10,2,3,4,5,6,7,9]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,8,7,4,3,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,2,7,8,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,1,4,8,7,5,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [1,8,6,2,4,7,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,6,2,1,4,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,1,7,8,5,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [7,6,1,2,4,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,1,3,4,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [1,8,6,3,4,7,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,1,2,5,4,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [2,8,6,3,4,7,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,6,1,4,7,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,2,1,5,4,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,8,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,1,8,4,7,3,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,2,4,7,3,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [1,8,5,4,7,3,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,5,4,7,3,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,7,3,4,6,8,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [7,2,3,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,8,6,4,3,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,2,5,1,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,6,5,2,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,6,5,2,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,8,6,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,8,2,6,4,1,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,3,8,5,2,7,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [2,8,7,6,3,1,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,3,6,1,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,3,5,2,1,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [2,7,8,6,3,1,4,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [7,3,8,5,2,1,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,8,6,3,1,4,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,1,5,7,3,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,6,1,4,7,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,6,8,1,5,7,3,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [4,7,6,1,8,5,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,7,5,8,1,2,6,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [7,3,6,1,2,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,4,8,1,6,5,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,6,1,8,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,5,8,6,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,8,4,5,1,7,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,8,5,1,7,2,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [5,1,8,7,6,2,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,6,1,8,7,5,2,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,8,5,1,7,2,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,4,1,7,2,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,4,8,7,1,2,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,6,8,3,7,1,4,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [6,4,7,1,2,8,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,5,1,8,2,7,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,1,8,7,2,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,1,7,2,8,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,7,4,1,8,2,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,6,8,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [6,8,5,7,4,1,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,3,8,1,5,2,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,8,4,2,3,6,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,2,3,8,1,7,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [2,6,8,3,4,7,1,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [4,1,8,2,5,7,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,2,3,8,4,1,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,8,3,1,7,2,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,3,1,5,2,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,4,2,1,5,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,5,2,1,7,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,2,1,4,7,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,3,2,5,1,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,4,3,1,5,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,4,2,1,5,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,3,2,1,4,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,3,8,1,6,2,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,4,3,1,8,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,2,1,8,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,2,1,8,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,8,4,2,7,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,2,1,8,3,7,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,2,8,7,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,2,8,1,7,3,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,3,8,7,2,1,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,8,6,4,5,7,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,2,8,3,7,4,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,2,8,5,4,7,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [1,8,6,3,7,4,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,6,5,7,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,2,8,4,3,6,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,5,3,8,4,7,2,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,2,8,4,3,7,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,2,8,3,7,4,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,3,8,1,2,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,6,3,8,4,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,8,5,1,6,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,8,4,3,1,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,3,8,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,4,8,2,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,8,1,2,5,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,1,7,8,2,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,3,1,7,8,4,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,3,2,7,8,4,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [7,8,6,2,5,3,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,3,8,7,5,2,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,7,1,8,5,3,4,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,4,6,1,3,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,2,1,3,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,4,1,5,6,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,7,2,1,6,3,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [6,8,7,1,3,2,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,8,6,5,7,1,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,8,4,3,2,6,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [1,8,5,6,2,4,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,4,8,1,3,2,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,6,7,8,3,1,5,2]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [7,6,2,8,4,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,2,8,6,3,4,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,6,8,4,3,2,7,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,3,8,1,7,2,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,6,7,8,4,2,1,5]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [6,5,1,8,4,3,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,8,4,2,1,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,5,8,1,2,6,7,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [5,1,8,3,4,6,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,8,7,2,1,6,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,1,6,3,4,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,4,7,2,5,8,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [3,5,8,1,2,6,4,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [5,8,6,1,3,4,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,4,6,1,3,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,3,4,5,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,7,4,3,6,1,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [7,4,1,8,3,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,1,7,8,4,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [7,6,3,1,5,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [3,7,4,8,1,2,6,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [6,3,5,7,8,1,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,4,7,8,2,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,7,3,8,4,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [2,7,8,3,4,6,1,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [7,5,8,4,1,3,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,7,5,8,3,1,2,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [5,7,3,1,6,8,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [2,8,4,3,1,5,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,1,2,3,5,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,6,8,1,2,4,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,6,8,5,1,3,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,8,5,4,6,1,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,7,1,3,5,2,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,7,2,3,6,8,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [3,8,5,1,6,2,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,3,4,6,8,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,2,8,4,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,7,8,4,1,5,6,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,5,8,6,7,4,2,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [5,8,1,6,7,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,7,2,5,1,8,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,8,2,1,6,7,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [1,8,4,2,6,7,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,2,1,6,8,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,1,6,3,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,2,5,3,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,1,2,4,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [1,8,3,4,7,2,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,5,8,1,2,7,4,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [3,6,8,1,2,4,7,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [3,5,8,1,7,2,4,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,6,8,1,7,3,4,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [6,1,5,8,2,3,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [1,8,3,2,7,5,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,7,2,8,6,1,5,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,8,2,4,3,7,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,2,7,3,5,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,8,7,2,4,1,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,7,8,2,4,1,5,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [6,3,4,1,8,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [3,8,5,2,7,1,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,6,7,5,3,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,2,7,1,8,3,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,1,6,2,3,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,8,1,3,2,7,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,1,4,7,5,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,3,8,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,1,4,8,5,2,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,6,7,8,2,3,5,1]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [7,6,1,3,5,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,8,3,2,4,6,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,7,6,5,2,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,2,5,4,6,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,4,3,1,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,4,7,8,3,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,1,7,3,8,2,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,1,4,7,8,5,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,2,7,3,1,8,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,2,4,7,8,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,4,7,8,3,2,5,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [3,8,4,7,1,2,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,6,1,5,3,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,6,4,1,3,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,5,7,4,2,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,5,8,7,4,1,2,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [7,3,8,4,1,2,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,8,1,2,7,3,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,8,1,2,7,4,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,6,8,4,1,3,7,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [3,7,4,8,5,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [6,4,8,7,5,1,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,8,5,2,4,6,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,7,1,8,4,6,2,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [6,3,8,7,2,1,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,7,6,8,5,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [5,4,7,8,2,6,3,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [2,8,3,4,1,5,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,8,3,4,1,2,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,7,1,5,2,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,3,2,7,6,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,5,8,6,1,4,7,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,8,5,6,1,4,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,6,1,5,2,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,2,3,7,6,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,6,8,5,3,2,7,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [7,6,4,8,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,3,2,8,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,4,8,1,3,6,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,3,4,8,5,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,5,1,2,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,3,1,2,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,2,1,4,5,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,4,1,6,3,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,7,2,3,6,4,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [5,7,2,4,8,3,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [7,6,1,5,4,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,7,3,2,1,8,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,8,7,6,1,2,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,8,6,1,3,2,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,8,6,7,4,1,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,8,6,4,2,3,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,8,3,1,6,5,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,1,2,5,7,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,8,5,4,2,7,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,3,1,2,4,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,8,7,3,1,5,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [6,5,3,7,8,4,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,2,7,4,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,1,5,6,3,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,8,7,3,5,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,1,8,4,3,6,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,6,8,7,4,1,2,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [5,6,8,1,7,3,2,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [7,4,6,8,2,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,8,4,3,1,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,8,2,7,1,5,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,2,3,6,4,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,2,3,4,7,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,5,8,7,4,2,6,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [7,5,1,8,4,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,6,8,5,2,7,4,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [7,5,2,8,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,8,2,4,3,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,3,8,1,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,7,1,3,5,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,1,8,2,3,5,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,2,4,1,6,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,1,4,6,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,8,5,2,6,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,3,8,7,1,6,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,7,1,8,5,2,6,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,8,6,5,4,1,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,7,5,6,3,8,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,8,5,7,2,3,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,5,7,1,4,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,2,7,3,4,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,7,2,4,5,3,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,7,2,8,3,6,1,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [5,1,8,7,4,6,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,8,3,7,5,4,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,2,1,4,8,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,2,8,3,5,7,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,1,8,3,5,4,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,2,4,8,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,3,2,4,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,2,1,3,4,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [2,8,3,6,4,7,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,2,1,7,5,8,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,3,8,7,5,2,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,7,2,1,5,8,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [7,6,8,1,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,9,8,6,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,1,9,8,7,5,4,3,2]=>[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,4,8,7,6,1,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,6,1,8,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,7,9,1,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,1,10,9,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,8,1,7,4,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,6,9,8,1,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,1,10,9,8,6,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,5,9,8,7,1,4,3,2]=>[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,5,8,7,4,1,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [1,8,3,5,6,2,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,1,4,8,2,3,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [1,8,2,5,4,7,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,7,4,1,2,3,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [6,7,4,2,1,3,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,4,3,8,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,4,3,6,2,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,5,3,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,8,4,2,3,1,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,1,3,2,8,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,2,8,6,1,3,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [2,8,3,1,4,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,4,8,2,3,1,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,4,1,8,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [7,6,4,5,1,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,3,1,8,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,4,1,2,8,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,8,1,3,5,7,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,8,4,1,3,6,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,5,8,1,3,7,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,7,3,1,8,2,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [2,8,1,4,7,3,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,5,3,1,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,6,2,7,8,1,4,3]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [4,6,2,8,7,1,5,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,8,6,3,7,1,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,6,3,7,5,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,6,8,2,7,5,1,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,6,2,8,7,5,1,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [5,6,7,2,8,3,1,4]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [5,6,7,2,1,8,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [5,6,1,7,8,2,4,3]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [5,6,1,7,8,4,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [4,6,8,1,7,5,2,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,8,6,1,7,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,6,7,1,8,3,2,4]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [5,6,7,1,3,8,2,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [5,6,7,3,8,1,2,4]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [5,6,8,7,4,2,1,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,6,7,3,8,2,1,4]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [7,4,6,2,3,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,1,6,3,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,3,1,5,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,4,5,6,1,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,7,5,1,6,8,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [5,4,8,3,7,1,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,7,1,8,2,5,3,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [6,4,1,8,5,3,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,1,4,7,2,8,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [7,8,4,6,3,2,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,8,6,5,3,7,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,5,2,7,6,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,7,5,3,1,8,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [7,4,5,2,6,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,4,2,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,1,3,5,6,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,1,5,6,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,7,8,3,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [5,3,7,8,4,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [5,3,7,1,8,4,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [6,8,2,7,3,1,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,2,3,7,1,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,2,8,1,7,3,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,2,8,3,7,1,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,2,8,4,6,1,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,3,2,7,1,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,5,8,2,7,1,4,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [4,5,8,2,6,1,3,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [2,6,8,3,7,1,4,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [5,1,8,3,7,2,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,1,8,4,6,2,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,4,1,6,2,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,5,8,1,6,2,3,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [5,4,8,1,6,2,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,8,5,1,6,2,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,4,2,1,5,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,5,2,7,1,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,5,2,6,1,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,4,3,1,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,7,4,3,8,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,7,4,3,8,2,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [3,8,4,2,6,7,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,4,1,6,7,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,1,7,5,2,8,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,7,4,8,2,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [3,8,4,2,1,6,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,7,4,3,8,2,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,7,4,8,1,2,5,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,5,8,1,2,4,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,4,8,3,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,1,3,4,8,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,2,3,4,8,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,7,5,8,2,4,3,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,5,8,3,1,4,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,4,8,2,3,5,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,4,8,1,3,5,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,3,1,4,8,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,7,4,8,1,3,2,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,5,8,4,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,4,8,2,1,3,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,4,8,1,2,3,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,8,2,3,5,4,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,8,6,2,3,7,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,8,3,4,7,5,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,3,4,7,6,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,1,7,5,2,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,1,6,7,2,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,3,8,6,5,7,2,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,7,2,8,5,3,4,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,2,7,8,6,3,4,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,2,8,6,7,3,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,1,8,6,7,5,2,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,1,7,8,6,4,2,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [6,7,1,8,5,4,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,8,3,2,6,1,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,1,5,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,4,5,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,2,6,3,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,1,4,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,5,1,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,3,8,4,1,6,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,2,4,8,1,5,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [3,5,8,1,4,6,7,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [5,3,8,1,4,6,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,4,2,8,1,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,7,5,8,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,2,1,8,4,5,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,7,8,5,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,1,5,7,8,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [2,7,3,8,5,1,4,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [7,3,6,8,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,1,8,5,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,6,5,8,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,7,1,8,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,7,6,1,8,4,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,7,1,5,8,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,7,3,8,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,1,2,8,4,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,1,5,8,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,6,1,8,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [9,10,7,8,5,6,2,1,3,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,8,4,2,5,1,3,6]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,8,3,2,1,4,5,6]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,6,5,7,8,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,6,5,7,8,2,1,3,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,6,4,7,3,5,8,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,6,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,6,3,7,2,1,4,5,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,5,4,3,6,7,8,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,5,4,2,6,7,1,3,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,5,3,2,6,1,4,7,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,4,3,2,1,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,7,9,10,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [8,7,9,10,5,6,2,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [8,7,9,10,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [8,7,9,10,4,2,5,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [8,7,9,10,3,2,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,1,6,5,3,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [1,8,7,5,3,2,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,4,2,5,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,1,6,4,2,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,5,3,6,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,2,8,6,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,5,3,8,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [2,8,7,5,4,6,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,3,8,7,4,2,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,4,2,1,8,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [1,8,6,3,5,7,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,3,8,5,2,1,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [2,8,6,4,7,5,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,1,8,6,3,7,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,3,7,4,1,8,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,1,8,7,4,2,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [1,8,6,3,2,4,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,5,1,8,6,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,8,7,5,3,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,5,8,6,3,2,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,1,8,7,5,3,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [2,8,6,4,1,3,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,1,8,6,3,2,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,4,2,8,6,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,1,8,5,2,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,4,8,5,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,8,5,2,7,4,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,4,6,3,1,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,1,7,4,8,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [7,4,8,5,2,1,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,1,8,5,7,3,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,1,7,4,8,3,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,7,2,8,3,6,1,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,7,8,2,4,1,6,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,8,7,2,4,1,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,6,2,4,1,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,2,8,4,1,7,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,3,4,8,1,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,4,8,1,7,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [1,8,5,4,2,3,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,4,3,8,1,7,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,4,3,8,1,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,3,8,7,1,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,6,3,8,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,6,3,8,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [2,6,8,4,1,7,3,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,8,7,4,2,6,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,7,3,8,6,1,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [3,7,5,8,6,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,7,8,5,6,1,3,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,8,7,5,6,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,6,8,5,7,1,3,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [5,3,6,8,7,1,2,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [6,3,5,8,7,1,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,2,8,5,6,1,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,2,8,6,7,1,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [1,8,3,2,7,6,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,2,8,7,6,1,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,2,8,7,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [1,8,5,7,6,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,4,6,5,8,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [3,6,7,8,5,1,2,4]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [2,6,8,7,5,1,3,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,8,6,7,5,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,7,8,6,5,1,3,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [5,7,6,4,8,1,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,3,8,7,5,1,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [2,8,7,4,1,3,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,4,8,7,1,3,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,8,6,1,3,2,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,7,1,4,5,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,6,1,8,7,3,2,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [3,7,6,8,1,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,7,2,1,8,6,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,8,6,1,7,3,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,5,8,2,6,3,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,2,6,1,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,7,2,3,1,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [3,8,1,6,7,4,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,4,6,1,5,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,7,3,8,5,2,1,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [7,4,1,6,3,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [3,8,6,2,7,4,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,3,1,4,5,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,4,8,5,3,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,5,2,3,8,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,7,5,1,8,6,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [4,7,3,2,8,5,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [7,5,8,4,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,8,4,6,1,7,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,1,5,7,3,8,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,8,4,7,3,2,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,2,6,5,8,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [2,6,8,3,7,4,1,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [7,4,1,8,3,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,2,6,8,3,1,7,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [7,3,6,1,8,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,8,2,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,7,3,1,6,4,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [5,2,8,7,1,4,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,1,8,6,2,4,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,6,2,8,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,4,3,5,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,3,1,4,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,8,2,7,5,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,2,8,1,6,5,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,6,4,3,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,4,8,2,1,5,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,3,2,8,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,1,5,2,8,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,4,3,8,1,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,8,1,5,3,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,2,8,4,1,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,3,4,2,8,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,6,3,4,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [3,8,6,1,5,2,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,5,6,1,7,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,7,1,3,8,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [7,1,3,8,4,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,6,2,8,1,3,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [6,1,8,3,7,5,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,4,2,1,5,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,4,1,5,8,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,2,6,4,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,2,7,3,8,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,1,8,3,7,4,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,4,8,3,1,5,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,8,4,5,2,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,1,6,4,5,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,3,7,4,8,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,2,7,1,4,8,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [7,2,5,3,1,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,1,4,2,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,4,1,3,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,2,8,1,5,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,4,3,2,8,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,2,4,8,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,6,4,8,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [1,8,5,3,6,4,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,2,6,1,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [2,8,5,6,1,4,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,2,6,8,4,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,4,8,3,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,8,1,4,2,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,8,4,1,3,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,8,3,2,1,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,6,8,2,1,5,7,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [5,7,4,8,1,3,6,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [5,7,1,4,8,2,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,1,2,7,8,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [4,2,8,7,3,5,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,1,7,6,2,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,8,1,4,7,5,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,3,8,1,6,4,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,7,8,1,5,3,2,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [7,1,8,6,2,5,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,8,7,1,3,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,8,7,2,1,6,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,7,1,6,3,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,7,6,1,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,7,2,6,1,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,1,7,5,2,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,3,8,6,5,1,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,7,8,4,3,1,2,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,8,6,4,3,2,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,3,8,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,9,2,8,7,6,5,4,1]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,2,8,7,6,4,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,5,7,3,8,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,8,7,2,4,3,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,1,5,2,4,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,3,4,7,8,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,3,7,4,8,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [3,7,8,5,4,1,2,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [5,7,6,2,8,4,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,1,7,5,8,3,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,5,6,4,1,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,8,5,1,7,2,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,3,6,2,1,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,8,7,2,3,5,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,3,1,6,7,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,4,1,2,7,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,3,2,1,8,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [2,7,8,5,1,3,6,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [2,8,5,4,7,6,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,7,1,5,8,2,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [4,8,7,6,2,3,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,8,1,5,3,2,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,5,7,3,8,2,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,3,4,6,1,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,1,2,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,8,3,2,4,1,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,1,8,2,7,3,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,2,8,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,2,8,3,7,5,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,3,4,8,6,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,6,3,8,5,7,2,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [7,5,3,8,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [2,6,8,3,7,4,5,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,8,4,3,7,5,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,4,3,8,6,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,6,7,8,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [2,6,8,5,4,7,3,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,8,5,6,4,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,4,6,5,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,7,8,4,5,2,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,2,8,6,4,7,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,8,6,5,7,3,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [1,8,2,7,4,5,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,2,8,6,3,4,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,8,4,5,7,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,8,4,6,7,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,8,5,6,7,3,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,3,5,8,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [1,8,3,5,7,4,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,7,8,4,5,6,3,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [3,7,5,8,4,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [5,7,4,6,8,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [2,6,8,4,5,7,3,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [7,5,1,3,4,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,1,2,4,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,3,8,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,2,3,8,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,7,5,2,8,1,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,8,5,6,1,2,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,7,5,8,1,2,4,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [7,6,4,8,1,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,8,1,2,4,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,6,8,1,2,5,7,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [3,7,2,4,8,1,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [4,6,3,8,1,2,5,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [5,3,8,1,6,2,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,1,8,5,2,3,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,8,1,3,7,4,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,2,8,1,6,3,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,7,8,2,5,1,3,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [6,8,2,7,1,4,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,8,7,1,3,5,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,7,1,2,4,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,7,1,2,3,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,7,1,2,4,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,1,3,4,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,1,8,6,2,3,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,8,6,4,1,2,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,8,4,1,2,5,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,2,6,5,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,1,6,3,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,7,3,8,6,4,1,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,8,3,7,6,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,8,1,2,6,7,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,2,8,1,5,3,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,3,8,5,7,6,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,2,1,6,3,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,6,5,2,7,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,5,6,1,7,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,7,8,5,2,1,6,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,7,2,8,4,1,6,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [2,8,1,7,4,6,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,5,1,6,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,6,7,5,1,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,1,7,4,3,8,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [1,8,7,4,3,6,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,4,1,3,8,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,8,2,3,1,5,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,6,2,1,3,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,7,8,4,2,3,6,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [4,7,1,3,8,2,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,8,6,4,5,2,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,4,6,5,2,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,8,3,4,2,6,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,5,7,3,4,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,8,2,6,4,3,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,2,5,8,4,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,8,3,4,2,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [1,8,6,4,2,3,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,4,5,6,2,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,6,5,4,2,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,3,8,1,2,6,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,4,5,3,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [1,8,4,2,6,5,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,3,8,1,5,7,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,1,4,2,6,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [3,8,4,1,6,5,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,5,3,6,4,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,6,4,5,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,5,4,8,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,8,3,7,4,1,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,7,1,4,8,6,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,1,7,4,5,8,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,3,7,4,8,6,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [6,5,3,7,4,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [7,5,8,4,1,6,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,7,8,4,5,1,6,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [5,7,3,8,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [5,6,3,8,1,4,7,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [3,7,8,4,1,6,5,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [6,8,3,1,2,5,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,6,3,1,5,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,1,8,2,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,8,2,7,4,3,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,6,2,5,4,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,2,7,3,8,6,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,8,4,2,6,7,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,3,2,1,7,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,8,3,7,2,1,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,5,8,1,7,2,6,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [7,6,4,8,1,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,3,7,1,8,2,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,4,8,7,2,6,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,8,5,4,2,1,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,6,5,2,7,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,6,5,4,3,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,3,6,5,2,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,2,3,4,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,5,3,8,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,7,2,3,5,8,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,8,3,7,2,1,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,8,7,4,2,1,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,8,2,3,5,1,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,8,6,3,1,4,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,7,1,4,8,3,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,1,7,5,4,8,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,3,7,5,8,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,6,1,5,8,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,2,8,1,4,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,4,2,8,1,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [2,7,8,4,5,1,3,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [5,7,3,8,4,1,2,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [3,6,8,4,1,2,7,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [4,8,1,2,5,3,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,7,4,6,3,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,7,6,3,5,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,7,6,5,2,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,9,6,8,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,4,7,6,3,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,9,8,5,7,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,5,4,7,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,9,8,7,4,6,3,2,1]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,7,6,2,5,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,9,8,7,6,3,5,2,1]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,7,6,3,2,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,9,8,7,6,5,2,4,1]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,7,6,5,2,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [8,6,9,7,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,6,9,4,7,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,6,9,4,7,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,6,9,4,7,3,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,6,9,5,7,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,7,9,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,7,10,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,6,4,9,7,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,7,10,5,8,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,6,9,4,2,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,7,10,5,8,3,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,6,9,4,7,2,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,8,4,6,3,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,6,9,4,7,3,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,7,10,5,8,3,6,2,4,1]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,6,9,5,7,2,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,7,10,5,8,4,6,2,3,1]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,6,8,2,5,1,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,7,9,4,6,3,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,7,10,6,8,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,8,10,6,7,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,7,6,3,1,8,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,7,6,3,1,8,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,2,4,1,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,8,6,4,1,7,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,7,4,1,8,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [3,8,4,1,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,7,8,2,4,1,6,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,8,2,4,1,6,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,2,8,1,5,3,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,2,8,5,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,4,1,8,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,4,7,6,8,2,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,1,8,2,3,7,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,7,4,8,6,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [7,4,1,8,3,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,4,8,7,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,8,2,3,1,7,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,4,3,2,6,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,7,8,2,4,3,1,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [7,1,6,3,5,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [2,8,5,6,7,1,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,6,8,5,1,4,7,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [5,7,6,2,1,3,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [7,6,2,4,5,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,4,2,5,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,5,2,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,3,2,5,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,3,5,2,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,1,2,5,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,1,5,2,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,1,3,2,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,5,3,2,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [1,9,8,7,6,2,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [2,9,8,7,1,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,9,8,2,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [1,9,2,8,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [3,9,8,7,6,5,2,1,4]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,9,8,7,6,1,2,5,3]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,8,7,4,2,6,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,9,8,7,1,2,6,4,3]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,10,9,8,7,1,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [2,8,5,1,7,6,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,9,8,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,5,1,2,7,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,9,1,2,8,6,5,4,3]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [8,1,2,9,7,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [2,10,1,9,8,7,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [3,10,9,8,7,6,5,2,1,4]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,9,8,7,6,3,2,5,4]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [4,10,9,8,7,6,1,2,5,3]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,9,8,7,4,2,6,5,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [4,9,8,7,6,3,2,1,5]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,10,9,8,7,1,2,6,4,3]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,1,4,7,6,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,9,8,5,1,7,6,4,3]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,9,8,7,4,1,2,6,3]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,10,9,8,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,9,6,2,8,7,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [1,8,7,4,3,2,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,9,8,5,1,2,7,4,3]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,10,9,1,2,8,6,5,4,3]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [1,8,5,4,2,7,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,9,6,2,1,8,5,4,3]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [8,10,1,2,9,7,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [8,7,1,2,9,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [9,2,1,10,8,7,6,5,4,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,3,4,5,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,1,4,5,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,1,3,5,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,3,2,5,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,5,8,2,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,5,8,3,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,3,1,5,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,5,6,3,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,6,5,1,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,6,5,3,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,2,3,1,4,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,2,3,5,4,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,1,3,4,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,3,2,4,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,1,5,3,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,1,5,4,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,5,8,1,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [2,8,1,6,7,4,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,8,4,5,7,2,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,8,6,1,4,7,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,1,6,4,7,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,4,5,2,8,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,4,5,8,2,3,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,8,5,2,3,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,2,8,3,1,6,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,4,8,2,5,3,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,6,8,2,3,5,7,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [2,6,8,4,1,5,7,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [2,6,8,1,4,5,7,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [2,8,1,4,6,7,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,6,2,3,7,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,6,4,5,1,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,2,3,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,5,8,3,4,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,3,8,7,4,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,2,8,3,1,4,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,8,2,3,6,5,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,1,3,6,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,1,4,3,6,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,4,1,3,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,4,5,3,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [1,8,2,3,6,5,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,2,8,3,5,7,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,3,8,6,5,7,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,5,3,4,8,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,8,3,4,1,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,3,8,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,3,8,2,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,8,5,1,3,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,1,8,3,6,4,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,6,8,5,7,2,1,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [3,8,5,6,1,7,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,7,6,8,5,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [6,7,4,8,5,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,3,6,8,7,1,4,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [1,8,4,6,7,2,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,2,8,3,7,1,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,4,5,8,6,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,8,3,1,7,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,7,4,8,2,6,3,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [5,6,4,8,2,7,3,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [5,6,8,3,1,7,4,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,6,3,8,2,7,5,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [5,3,8,1,7,2,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,5,8,1,3,7,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,3,8,2,7,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,8,1,3,7,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,2,8,3,4,7,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,6,3,1,4,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,8,4,2,5,3,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,2,8,7,6,3,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,3,1,8,7,5,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,6,3,1,8,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,4,2,1,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [1,8,2,7,6,4,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,5,2,4,8,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,2,4,6,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,2,8,6,3,7,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [1,8,2,7,5,3,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,5,2,1,8,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,2,6,3,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,2,8,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,4,1,5,2,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,3,1,4,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,2,8,6,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,2,1,3,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,2,1,3,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,8,7,5,2,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,3,1,4,8,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [1,8,2,5,7,6,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,6,4,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,5,2,1,6,4,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,8,7,4,1,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,4,1,6,3,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,1,8,6,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,7,5,2,1,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,3,5,2,8,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [3,5,8,4,6,1,7,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [6,1,3,8,2,5,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,8,2,3,1,6,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,6,8,3,1,5,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,7,4,2,8,1,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,3,7,2,8,1,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,5,2,8,6,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [2,7,3,8,1,5,6,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [5,6,4,8,3,1,7,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,8,1,6,2,3,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,8,1,2,4,3,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,8,3,1,2,5,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,4,6,3,7,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,5,7,4,2,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,6,5,7,1,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,6,2,7,1,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,7,5,3,8,2,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [6,1,5,3,8,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,3,5,8,7,4,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,7,2,8,5,6,3,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,6,8,5,7,4,1,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [4,7,6,8,5,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [5,7,2,8,6,4,1,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [3,8,7,5,6,4,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,7,6,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,5,7,6,1,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,1,3,8,2,7,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,1,8,4,2,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,8,3,7,1,5,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,7,3,8,1,6,5,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [2,6,8,4,1,7,5,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [4,5,8,6,3,1,7,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [5,7,4,1,2,8,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [6,3,7,1,2,8,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,2,1,8,3,7,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [1,7,8,3,5,2,4,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [1,7,8,5,4,3,2,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [2,6,8,7,4,3,5,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [2,7,5,8,4,1,3,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [3,7,8,2,1,5,4,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,5,8,6,7,4,1,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [3,6,8,4,7,1,5,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [4,7,1,3,6,8,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,7,6,4,8,1,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [1,7,8,6,5,3,2,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [1,7,8,2,6,4,5,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [2,7,1,8,4,6,5,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [3,7,8,2,1,6,5,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [4,8,1,2,3,7,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,8,2,3,6,5,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,5,8,4,7,2,6,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [1,8,5,4,6,2,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,5,4,6,1,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,5,1,6,4,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,5,4,6,1,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,5,4,6,3,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,5,4,6,3,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,5,8,1,7,6,2,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,5,8,4,7,1,6,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [7,1,3,4,8,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,1,3,8,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,3,4,8,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,3,1,8,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,3,4,1,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,8,6,1,4,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,8,6,3,4,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,3,1,5,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,3,8,1,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,3,8,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,5,8,1,6,7,2,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [7,6,1,3,5,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,3,2,5,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,3,8,2,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,1,8,5,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,3,7,4,8,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,3,7,4,8,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,4,8,1,6,2,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,4,8,2,6,3,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,4,8,1,6,3,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,7,2,8,3,5,1,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [6,8,3,2,1,4,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,2,4,1,6,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,8,4,3,1,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,8,2,4,1,3,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,8,4,7,6,3,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,1,2,7,5,8,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [4,8,3,2,5,7,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,8,5,3,4,7,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,4,1,5,3,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,3,5,1,4,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,5,4,2,3,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,2,4,3,7,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,5,3,8,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,4,5,1,6,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,8,4,1,3,5,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,4,3,8,6,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,8,4,2,3,6,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,3,4,2,1,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,4,2,3,7,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,4,8,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,8,3,7,2,1,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,4,7,3,8,2,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,7,4,3,2,1,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,5,3,4,8,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,5,3,8,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,8,1,2,3,4,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,1,2,8,3,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,8,2,3,5,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,1,7,2,3,5,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [4,3,8,7,5,6,2,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [1,8,2,7,4,6,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,1,6,2,3,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,8,3,7,4,6,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,7,3,4,5,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [1,8,7,2,4,5,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,4,6,3,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,3,7,5,1,4,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [1,8,3,5,7,2,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,8,3,1,4,2,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,8,4,2,6,7,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,4,1,7,5,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,2,8,7,1,5,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,2,6,8,1,7,4,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [5,7,3,2,6,8,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [6,7,1,2,3,5,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,1,3,8,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [3,8,1,5,7,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,1,8,5,7,6,3,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,8,2,4,7,6,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,3,7,4,6,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,2,1,8,7,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,1,8,2,7,5,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,2,8,3,7,6,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,2,1,7,6,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,1,8,7,2,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,1,3,7,6,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,1,3,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,3,8,1,7,6,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,8,6,3,2,1,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,7,1,3,2,8,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,8,1,3,2,7,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,5,1,3,2,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,8,2,1,4,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,8,1,2,5,7,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,1,2,3,8,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [1,7,8,2,3,5,6,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,5,8,2,3,1,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,1,2,6,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,8,1,5,7,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,2,5,4,1,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,5,4,2,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,4,6,8,7,2,1,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [6,7,4,2,1,8,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,7,3,2,1,8,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,5,8,1,7,3,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,8,3,4,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,5,8,2,6,1,7,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [3,7,6,5,8,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [3,7,6,2,8,4,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [7,1,2,6,3,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,6,3,4,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,8,4,2,5,3,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [3,8,5,6,4,2,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,1,3,8,5,4,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [2,7,6,8,5,1,3,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [2,7,6,8,5,3,1,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [6,7,3,1,5,4,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,4,6,2,8,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,5,1,4,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,4,3,8,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,3,8,2,6,7,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,3,8,2,5,7,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,1,8,6,4,7,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,8,5,6,3,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,7,2,3,1,5,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,5,2,3,8,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,2,3,8,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,8,3,6,1,7,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,2,7,8,3,4,5,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [8,2,3,4,5,6,7,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [4,7,3,8,6,5,2,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,8,7,4,6,5,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,3,8,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,3,6,5,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,5,8,7,2,6,1,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,8,6,7,5,1,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,6,7,8,5,2,3,1]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [3,8,5,4,1,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,4,7,2,5,8,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,3,8,7,5,1,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,8,4,3,5,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,1,8,2,4,3,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,8,3,1,6,7,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,7,3,2,6,8,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [7,3,4,6,8,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,5,8,3,4,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,6,8,1,3,4,7,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [2,8,5,6,3,4,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,8,1,3,5,4,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,1,2,5,8,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,4,8,1,7,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [2,7,1,8,4,3,5,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [6,7,1,8,3,2,4,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,2,8,1,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [5,1,6,8,7,2,3,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [7,4,6,8,5,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,8,6,7,5,1,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,7,5,8,6,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [7,8,5,1,3,2,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,6,8,1,5,4,7,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [6,1,5,8,3,2,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,1,5,4,8,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,5,4,8,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,3,8,6,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,2,5,8,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,3,8,4,1,2,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,2,8,4,1,6,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,6,5,2,1,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,7,1,3,2,4,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,7,8,3,2,5,1,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [5,1,6,8,3,7,4,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [7,6,4,1,3,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [3,7,8,2,6,1,4,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,7,8,5,2,1,4,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [6,8,4,7,3,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,8,6,5,1,2,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,6,5,1,2,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,7,6,5,1,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,7,2,6,1,8,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,7,2,6,1,3,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [5,8,2,6,1,4,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,8,7,5,6,1,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,8,4,7,2,1,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,4,6,5,1,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [4,8,2,1,3,5,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,1,8,7,5,6,2,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,4,1,3,8,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,4,6,1,2,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [1,8,6,2,7,3,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,7,8,6,2,3,5,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [3,5,8,1,7,6,2,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,8,1,3,6,7,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,2,4,8,6,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,2,1,3,4,5,6,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,3,1,2,4,5,6,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,2,3,1,4,5,6,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,10,7,9,4,6,8,1,3,5]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [6,10,5,9,8,7,2,4,1,3]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,10,3,9,2,6,8,1,5,7]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,10,4,9,3,8,2,7,6,1]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,10,4,9,8,7,6,3,2,1]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,2,8,1,5,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,3,7,2,5,4,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,7,2,6,3,4,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [6,8,3,2,1,7,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,8,1,7,5,3,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,3,8,4,1,7,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,2,8,1,6,4,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,8,7,5,3,1,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,5,8,7,3,2,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,1,2,7,5,8,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [2,8,3,1,6,5,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,5,6,7,1,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,5,1,2,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,8,3,4,1,6,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,7,2,8,6,3,1,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,7,5,2,3,8,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [6,4,7,5,2,8,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [7,5,1,3,6,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,6,3,1,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [4,6,3,8,7,5,1,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [2,8,4,1,5,7,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,4,2,5,7,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,5,4,1,7,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,5,2,4,7,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,8,2,4,1,6,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,8,4,5,1,7,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,5,8,2,7,6,1,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [1,8,2,4,5,7,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,1,4,5,7,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,8,2,1,4,6,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [3,8,4,5,1,6,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,3,8,6,2,7,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,8,1,4,5,2,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,6,8,1,4,2,3,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,7,4,8,1,2,3,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,7,8,1,2,6,3,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [6,1,7,2,5,8,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [7,5,1,2,6,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [1,8,6,2,5,7,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,7,8,1,2,6,3,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [7,1,6,8,5,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,7,1,2,8,4,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [7,8,6,1,5,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,9,3,4,5,6,7,8,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [1,9,8,4,5,6,7,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [7,8,6,3,1,5,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,3,4,5,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [3,8,6,1,4,2,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,1,8,2,4,6,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,6,8,4,1,5,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,2,8,1,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,5,3,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,5,7,8,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,3,2,8,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,1,8,3,5,4,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,8,5,2,4,6,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,2,5,3,7,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,4,5,2,6,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,1,8,6,5,3,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,7,8,4,6,3,2,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [6,8,1,2,7,4,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,7,3,6,2,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,5,2,3,4,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,5,4,2,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [3,7,8,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [7,3,5,1,4,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,8,4,7,3,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,6,8,2,5,3,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,6,8,7,5,3,1,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [5,7,8,2,3,6,1,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,8,7,1,2,5,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,7,4,1,5,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,6,7,5,2,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,1,3,7,5,8,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [4,7,3,1,8,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [6,1,4,5,8,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,1,8,5,3,4,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,1,8,7,2,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [2,8,3,7,6,1,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,4,6,8,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,3,6,8,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [3,5,8,6,1,2,7,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [3,5,8,4,1,7,2,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [5,6,4,8,2,3,7,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [6,5,4,8,1,3,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,6,4,8,5,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,6,5,8,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,7,5,2,4,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,1,7,4,5,3,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,7,2,4,1,3,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,3,8,4,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,8,6,7,2,5,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,6,8,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,4,8,1,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,8,6,5,2,4,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,3,7,6,8,4,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [7,5,3,2,8,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,4,8,6,7,2,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,4,8,6,3,1,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,4,8,7,2,1,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,4,6,1,5,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,2,8,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [3,8,4,1,5,2,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,3,2,1,6,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [2,8,6,1,7,4,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,1,5,6,3,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,2,5,4,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,2,6,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [2,8,5,1,6,4,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,8,3,1,7,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,6,3,2,8,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,6,3,8,7,4,1,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [5,2,6,8,7,4,1,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,3,8,5,7,2,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,3,8,5,4,1,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,3,8,4,5,1,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,7,3,2,8,5,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,8,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,1,3,4,5,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,2,6,8,4,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,7,2,8,6,5,1,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [7,4,5,1,8,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,3,1,8,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,8,1,4,3,2,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,1,3,5,6,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,3,7,8,4,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [6,3,7,8,2,4,5,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,5,4,2,3,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [1,8,2,6,3,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,6,4,7,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,8,1,3,2,6,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,8,4,7,3,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,8,7,3,5,2,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,8,7,3,5,2,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,3,8,7,4,6,2,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,8,5,3,1,2,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,8,7,3,1,5,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,5,4,1,3,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,8,7,6,5,1,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,7,5,1,6,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,7,1,3,6,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,8,7,3,5,2,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,5,8,6,4,2,7,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [6,8,4,1,5,2,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,2,1,7,5,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,4,6,1,2,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,7,6,5,2,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,7,5,1,6,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,5,8,3,1,6,7,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [5,7,2,8,4,6,1,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [6,7,3,2,4,8,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [7,2,8,6,4,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,2,7,8,4,1,3,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [2,7,8,6,4,1,3,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [7,6,3,5,2,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,7,4,8,5,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,8,5,1,7,3,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,3,8,2,4,1,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,6,3,8,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [6,3,8,7,5,4,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,8,4,2,1,7,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,8,1,7,6,2,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,2,6,3,8,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,8,6,4,1,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,7,2,8,1,5,4,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [7,2,1,5,8,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,8,1,4,3,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,7,8,3,2,6,5,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,2,3,4,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,5,2,3,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,3,2,5,8,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,8,4,6,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,3,8,6,1,4,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,8,1,5,7,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,8,4,1,5,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,6,8,5,4,2,7,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [4,8,6,5,1,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,3,5,6,7,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,5,7,4,1,3,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [7,5,4,2,6,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [4,7,3,1,8,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [7,3,2,5,4,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,2,5,1,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,6,3,8,7,2,1,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,7,6,3,8,2,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [4,7,3,8,6,2,1,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [5,7,3,2,6,1,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [7,5,2,8,4,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,2,4,1,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [1,8,5,3,4,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,9,4,3,5,6,7,8,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [7,8,4,1,6,3,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,8,6,5,3,1,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,4,8,6,2,3,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,8,7,5,2,3,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,4,1,8,7,3,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [1,8,5,4,2,7,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,5,8,4,1,3,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,6,2,3,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,7,1,3,2,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [3,8,5,2,4,7,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,1,5,2,4,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [3,8,5,1,4,7,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,2,5,4,1,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,8,1,6,3,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,4,8,5,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,9,1,2,3,5,6,7,8]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,9,1,2,4,5,6,7,8]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,4,6,1,3,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,2,8,3,6,1,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,7,6,1,2,3,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [5,7,6,8,1,2,4,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [3,8,6,4,5,7,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,8,6,1,4,5,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,8,5,4,6,7,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,5,8,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,5,3,6,2,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,4,3,2,6,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,8,4,3,2,6,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,4,8,3,2,1,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [1,8,4,3,2,7,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,5,8,3,1,2,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [1,8,6,7,3,2,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,8,6,1,3,2,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,8,4,3,2,7,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,3,2,5,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,2,3,4,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,2,8,1,5,3,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,8,6,4,7,2,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,2,5,7,3,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,2,3,4,7,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,3,4,7,8,2,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [3,8,5,1,4,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,5,1,3,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,6,8,5,2,7,3,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,7,8,5,2,6,4,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,8,6,2,7,4,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,3,6,2,8,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,5,8,3,7,2,1,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,7,2,8,4,5,1,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [4,1,8,3,2,6,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,2,4,5,1,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,4,1,6,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,4,8,6,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [1,8,7,5,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,3,1,8,4,7,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,1,4,8,6,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,1,8,5,6,7,2,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,7,4,8,6,2,1,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [5,3,6,8,2,7,1,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [6,3,7,4,8,2,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,3,7,4,8,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,3,8,4,1,6,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,3,8,1,4,7,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,4,1,6,3,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,3,8,4,1,6,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,8,2,5,6,7,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,8,4,1,6,5,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,3,8,1,5,7,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,1,2,3,4,5,9,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [2,8,9,1,3,4,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,1,8,2,9,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [8,1,9,2,10,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,1,7,8,3,4,2,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [5,6,8,2,3,4,1,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [3,7,4,5,8,1,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [3,7,8,1,4,5,2,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [5,8,2,1,6,3,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,1,3,7,5,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,3,8,5,1,2,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,5,3,7,1,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,5,7,3,1,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,7,5,1,3,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,2,8,5,1,3,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,7,8,4,1,5,2,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [1,8,5,7,2,4,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,4,2,3,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,3,6,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,4,5,6,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,6,2,4,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,2,8,4,3,6,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,8,5,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,6,3,8,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,8,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,2,8,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,8,4,3,1,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,3,8,2,7,6,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,5,4,8,3,7,2,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,8,5,1,3,7,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,3,8,7,2,6,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,8,5,2,1,6,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,4,8,1,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,4,8,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,8,5,6,2,7,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,3,8,6,4,7,2,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,8,4,6,1,7,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,5,6,4,7,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,4,5,6,7,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,6,5,2,7,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,7,5,2,1,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,6,5,1,7,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,1,3,5,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,2,3,5,8,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,7,2,3,8,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,7,2,1,3,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,7,4,1,8,3,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,7,1,3,8,4,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,1,7,4,2,8,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,7,3,2,1,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,7,3,2,8,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [2,7,1,8,4,6,3,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [2,7,5,8,1,6,3,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [6,7,1,8,4,5,3,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,8,3,2,5,4,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,2,1,6,4,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,8,3,2,4,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,8,7,2,4,6,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,1,6,5,3,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,4,1,8,5,3,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,4,1,6,5,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,6,1,4,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,8,6,1,4,3,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,7,5,1,4,3,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [1,8,6,3,4,2,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,6,8,7,2,5,1,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [7,6,3,8,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,2,7,8,1,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [5,6,3,8,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [5,8,3,7,6,4,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,8,2,1,3,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [6,5,1,8,3,7,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [1,8,7,5,3,2,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,8,1,5,4,2,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,7,6,1,4,3,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [6,8,1,7,5,4,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,6,3,1,2,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,3,6,8,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,7,4,1,3,2,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,6,4,1,8,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,5,4,6,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,4,1,8,5,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,1,5,4,8,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,6,4,3,1,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,4,6,1,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,8,3,5,7,2,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,5,4,2,6,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,8,6,5,4,3,2,9,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [3,7,2,8,6,4,5,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [6,3,7,5,8,2,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [3,8,1,7,5,2,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,3,5,1,6,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,3,2,5,1,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,7,8,9,2,1,3,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,2,1,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,2,1,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,3,1,2,5,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,4,1,5,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,2,1,5,4,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,8,5,3,2,6,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,2,8,6,3,1,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,6,3,4,2,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,5,7,8,6,2,1,3]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [1,8,3,2,4,6,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,2,1,3,6,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,1,7,8,3,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [4,7,8,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [3,5,8,6,1,4,2,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [1,8,4,2,7,6,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,3,8,1,6,5,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,8,2,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,3,8,6,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,8,6,1,5,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,4,7,8,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [6,3,8,7,1,5,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,6,4,8,3,2,1,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [5,7,4,8,2,1,6,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [4,7,5,8,2,1,6,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [5,7,4,2,6,3,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [5,7,4,1,6,2,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [7,1,4,6,8,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,7,1,2,4,8,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [7,8,1,3,4,5,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,8,2,6,7,3,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,7,3,2,8,1,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [7,1,2,6,3,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,8,7,3,1,6,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,7,8,3,1,6,2,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [7,4,3,1,6,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,3,1,8,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,3,2,1,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [8,6,4,3,2,1,9,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [8,6,4,2,1,9,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [9,7,5,4,3,2,1,10,8,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [9,7,5,3,2,1,10,8,6,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,8,3,7,5,2,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,8,4,3,2,1,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [6,4,3,8,5,2,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,2,5,4,8,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,8,7,4,3,2,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,1,3,7,2,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,5,1,8,2,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [6,3,2,1,8,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,2,3,1,8,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,2,5,1,8,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,1,5,8,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,2,8,1,7,5,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,3,1,5,2,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,6,4,2,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,8,6,1,2,7,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,1,4,3,7,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,7,1,4,3,8,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [4,7,1,5,3,8,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [6,8,1,2,4,7,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,1,6,4,8,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,1,4,5,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [2,8,4,1,3,6,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,3,6,7,2,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,7,1,8,2,5,4,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [4,5,8,6,1,3,7,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,5,8,6,2,7,3,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,7,8,4,5,1,6,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [4,6,8,3,2,7,1,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,6,8,2,3,7,1,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,8,1,7,4,5,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,5,8,3,7,1,2,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,7,8,4,6,2,5,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,8,2,5,4,7,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,6,2,5,1,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,5,8,6,2,1,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,5,8,6,1,2,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,6,8,5,2,7,1,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,7,8,5,2,6,1,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,7,8,5,4,1,6,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [4,6,8,5,3,1,7,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [7,8,2,3,5,4,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,7,3,1,2,4,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [6,1,2,4,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [3,7,2,8,5,1,4,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [6,1,7,4,8,5,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,7,4,1,3,6,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [7,4,3,1,6,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,8,1,4,6,5,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,6,1,4,5,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,2,7,3,8,5,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,2,8,3,6,4,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,8,3,1,4,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [1,7,8,2,5,3,4,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [3,7,8,1,2,5,6,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,8,1,5,7,2,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,5,4,8,6,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,8,6,4,5,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,8,4,3,1,7,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,8,1,3,7,5,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,8,5,7,4,2,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,6,8,7,3,1,2,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [6,7,5,3,8,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,8,5,7,3,1,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,8,6,3,1,2,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,7,8,3,6,1,2,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,1,8,6,2,4,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,7,6,3,8,1,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,7,6,8,3,1,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [6,8,7,5,3,1,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,7,2,1,5,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,3,6,1,4,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,1,6,5,3,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,8,2,6,4,3,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,8,6,3,4,1,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,3,7,5,1,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,4,8,7,2,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [2,8,4,3,6,7,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,3,2,5,6,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [3,8,4,2,5,1,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,8,5,6,4,3,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,3,5,6,4,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,6,8,3,2,5,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,8,7,1,3,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,7,6,8,2,1,4,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [9,3,4,5,6,7,8,1,10,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [7,1,5,6,2,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,6,1,3,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,7,5,1,3,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [7,8,4,1,5,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,8,1,3,6,7,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,8,4,3,7,1,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,4,6,7,1,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,3,8,4,7,1,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,1,3,8,2,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,7,3,8,5,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [4,5,8,7,1,2,3,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,1,8,5,7,2,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [1,8,7,4,6,2,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,4,5,1,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,8,4,2,3,7,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,3,7,4,1,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,2,8,7,3,1,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,6,8,2,5,1,7,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [3,8,2,5,7,4,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,8,5,4,1,7,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,8,1,5,7,6,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,4,7,3,6,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,4,7,6,5,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,5,8,1,7,4,6,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [8,2,3,4,5,6,9,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [8,2,3,9,5,6,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,2,9,4,5,6,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,9,3,4,5,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,2,3,4,5,6,7,10,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [9,2,10,4,5,6,7,8,1,3]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,8,1,2,5,6,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,1,6,5,2,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,6,4,7,3,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,2,4,1,5,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,3,2,4,1,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,2,6,8,4,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,3,4,6,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,8,3,4,7,5,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,6,1,3,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,1,5,7,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,4,6,8,2,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [4,7,1,6,8,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,7,5,2,8,6,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [4,8,5,2,6,7,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,4,8,6,1,2,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,2,4,5,6,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,3,5,6,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,5,8,4,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,8,4,7,1,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,1,4,3,2,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,7,2,1,4,3,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [7,1,8,3,5,2,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,4,8,1,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,8,4,2,5,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,2,5,8,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,3,8,5,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,7,4,8,1,5,6,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [7,4,8,3,1,5,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,5,8,3,7,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,8,5,3,7,2,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,4,8,6,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,8,5,6,3,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,8,4,1,3,5,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,3,4,1,5,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,3,1,8,2,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,3,8,1,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,8,7,3,2,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [2,7,4,8,6,3,1,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [6,4,8,2,3,1,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,2,1,8,3,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,6,2,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,1,8,4,7,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,5,4,8,1,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,8,1,5,4,2,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,6,3,1,4,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,6,3,5,1,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,2,8,5,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,8,4,7,2,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,6,2,8,4,3,7,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [7,1,3,6,5,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,7,4,3,6,8,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,8,4,6,3,2,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,7,8,2,4,3,6,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [6,4,7,8,2,3,5,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [4,7,5,2,3,8,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [6,4,7,3,2,5,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,7,3,2,8,4,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,3,7,2,8,4,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [4,7,3,2,5,8,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,7,3,2,6,8,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [7,5,3,2,6,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,6,2,3,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,6,2,8,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,7,6,2,8,3,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [4,7,6,2,3,8,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [7,6,3,2,5,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,4,2,5,8,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [2,10,4,5,6,7,8,9,1,3]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [9,8,4,5,6,7,1,2,10,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [2,10,9,5,6,7,8,1,3,4]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [9,3,8,5,6,7,1,2,10,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [9,7,4,5,6,1,8,2,10,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [2,10,4,9,6,7,8,1,3,5]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [2,10,8,5,6,7,1,9,3,4]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [6,3,8,5,4,7,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,8,7,5,2,1,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,1,4,7,5,8,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,8,6,5,3,2,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,1,2,7,8,4,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [4,8,3,7,1,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,3,2,1,7,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,5,3,8,7,1,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,3,8,2,7,6,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,2,7,6,5,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,8,2,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [3,8,7,6,2,5,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,3,7,2,1,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,3,7,6,2,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,2,7,6,4,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [1,8,6,2,7,3,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,6,2,3,7,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [8,2,3,4,5,6,7,9,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [2,9,3,4,5,6,7,8,1]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [9,2,3,4,5,6,7,8,10,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [6,2,3,5,8,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [2,10,3,4,5,6,7,8,9,1]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [6,7,3,1,8,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,3,1,5,8,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,2,4,8,6,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,5,2,1,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,7,5,2,1,8,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [7,5,2,3,1,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [3,6,8,4,5,1,2,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [7,2,6,5,3,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,2,8,4,5,1,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,2,8,5,1,4,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,8,7,1,4,3,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,2,5,3,1,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,7,8,5,1,4,2,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [4,8,7,3,1,2,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,6,2,3,1,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,5,4,2,1,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,7,4,1,8,2,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [3,8,4,1,7,6,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,7,2,1,8,4,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [3,8,2,1,7,6,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,8,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,6,8,2,7,3,5,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [7,8,3,6,1,5,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,5,6,3,8,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [2,6,8,4,7,5,1,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [6,7,5,1,4,8,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [7,4,1,6,5,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,8,2,7,3,6,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,5,4,1,8,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,1,8,2,7,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,8,5,3,2,6,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,4,3,8,2,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [7,8,6,1,4,3,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [3,7,8,6,5,2,4,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [6,7,4,3,1,5,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,6,5,3,1,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,6,4,3,1,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,7,1,5,8,2,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [2,7,5,8,3,6,4,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [7,4,8,2,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,4,8,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,3,8,1,6,5,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,3,4,8,5,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,4,5,1,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,1,2,8,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,8,2,3,5,7,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,7,4,8,5,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [2,8,4,6,7,1,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,8,2,1,4,6,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,7,8,4,2,6,5,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [5,6,2,8,7,1,3,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [7,1,3,8,4,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,8,1,4,3,5,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [3,8,1,4,7,2,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,1,3,2,7,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,1,8,3,2,7,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,3,8,1,2,7,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,3,8,2,1,7,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,8,4,2,7,1,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,4,3,7,6,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,2,4,7,1,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,2,8,3,1,7,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,2,1,3,7,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,2,8,1,3,7,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,6,7,5,8,2,3,1]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [6,7,2,8,3,1,4,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,6,3,1,2,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,7,8,4,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,3,7,8,4,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,8,5,2,4,1,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,2,3,1,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,3,5,8,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,5,8,1,2,6,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [7,2,4,1,3,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [3,8,2,5,4,1,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,6,8,2,3,7,5,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [6,7,2,3,4,8,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,3,5,8,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [2,8,7,4,5,1,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,2,8,4,5,1,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,5,2,3,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,5,3,8,2,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,2,6,8,3,7,1,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [5,8,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [1,8,3,7,4,2,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,4,3,5,7,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,3,8,6,7,2,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,8,4,7,6,5,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,8,4,2,6,3,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,7,8,6,3,2,4,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [6,8,5,3,1,7,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [1,8,3,6,7,4,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,1,4,8,2,7,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,4,8,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,1,5,6,8,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,7,1,5,2,4,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,6,1,5,2,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,6,3,5,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [1,7,8,3,6,4,5,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,6,4,5,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,5,7,6,4,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,4,5,1,6,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,7,8,5,3,1,4,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,8,3,1,2,6,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,1,7,5,2,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,1,7,5,2,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,7,1,5,2,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,7,1,5,2,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,6,8,4,1,3,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,6,8,4,1,3,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,8,7,5,4,1,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,2,7,5,1,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,6,8,4,1,5,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,4,8,6,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,4,8,3,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,8,5,2,4,3,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,3,8,2,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,8,1,5,3,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,4,8,2,6,3,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,8,2,6,3,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,1,7,8,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [7,6,3,4,1,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,6,4,2,5,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,2,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,6,4,2,1,7,5,3,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,7,5,3,1,6,4,2,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [7,5,3,2,1,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,5,3,1,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [1,8,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,9,7,5,3,2,8,6,4]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [1,8,7,6,4,2,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,9,8,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [7,6,2,5,8,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,3,6,8,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [1,8,3,6,7,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,1,8,6,4,5,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,8,2,6,4,3,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,5,7,2,8,3,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,5,7,2,8,1,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,2,7,5,8,1,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,7,2,5,8,1,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,5,7,3,8,1,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,3,7,4,8,2,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,3,7,4,8,1,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,2,7,4,8,1,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,7,5,1,4,3,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,8,5,1,4,3,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,7,6,8,3,5,1,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [7,2,1,5,3,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,8,2,7,6,1,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,1,8,7,3,4,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [8,6,5,4,3,2,1,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [2,6,8,7,5,3,4,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [4,8,7,5,3,1,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,6,8,7,5,3,1,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [6,8,7,5,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,8,7,3,1,2,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,7,3,4,6,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,3,6,5,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,1,6,5,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,1,4,3,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,3,4,1,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,5,6,3,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,3,1,4,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,5,6,3,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,5,3,1,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,5,3,6,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,5,6,1,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,6,8,7,5,1,4,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [6,8,7,5,1,2,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,8,7,1,2,6,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [8,1,2,3,4,5,7,6,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [7,1,2,3,5,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [1,9,2,3,4,5,6,8,7]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [8,1,2,3,4,6,5,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [7,1,2,6,4,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,2,4,3,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [1,9,2,3,4,5,7,6,8]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [7,5,4,2,8,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,7,2,1,8,4,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [7,2,8,6,4,3,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,8,7,4,2,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,6,3,2,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,8,3,7,4,2,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,4,8,1,3,2,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,5,8,2,1,3,6,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [1,8,3,5,7,2,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,7,5,4,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,8,6,1,7,3,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,7,1,2,8,4,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,4,7,6,8,3,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,6,8,1,7,4,3,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [8,7,1,9,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,7,9,1,8,5,4,3,2]=>[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,6,9,8,1,7,4,3,2]=>[1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,1,8,7,3,6,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,6,8,4,1,7,3,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,8,7,3,1,6,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [9,8,1,10,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,8,10,1,9,6,5,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [8,7,6,1,9,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,7,10,9,1,8,5,4,3,2]=>[1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [6,7,9,5,1,8,4,3,2]=>[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,6,9,8,4,1,7,3,2]=>[1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [7,3,1,5,6,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [3,7,4,2,8,5,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [7,3,4,1,6,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,2,1,6,3,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,4,1,6,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [3,8,7,1,6,2,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,7,1,4,5,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,5,7,2,6,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,3,4,6,2,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [4,5,8,7,6,1,3,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [7,6,3,8,1,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,7,2,1,5,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [7,6,3,8,1,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,8,2,6,1,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,8,3,4,5,2,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,6,4,2,5,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,8,3,4,6,1,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,8,7,5,3,1,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,1,4,8,3,2,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,1,8,5,3,2,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,1,8,5,2,4,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,8,2,5,1,4,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,2,8,6,5,1,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,8,6,1,5,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,7,8,6,2,4,3,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,6,3,1,2,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [3,8,1,5,6,2,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,8,4,1,5,2,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,4,1,2,3,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,1,2,5,3,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [1,8,6,3,2,7,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,5,8,6,1,7,2,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [4,8,3,1,6,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,2,8,5,6,3,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,7,2,3,4,6,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [1,8,7,3,2,5,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,7,1,2,3,8,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [7,8,6,2,4,1,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,2,8,4,6,1,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,6,2,8,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,5,8,2,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,4,8,2,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,8,4,2,3,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,3,6,2,1,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [1,8,6,4,2,5,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,1,6,5,7,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,4,6,8,1,3,7,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [6,7,3,4,8,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [7,4,1,8,2,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,1,7,2,8,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [7,3,1,6,2,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,8,2,5,3,1,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,3,4,7,1,8,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [7,8,5,1,3,4,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,1,3,4,5,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [1,8,3,5,6,2,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,8,7,2,1,3,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,7,6,8,5,2,4,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [1,7,8,5,2,6,3,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,6,1,2,5,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,2,4,8,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,7,5,1,8,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [7,6,1,2,4,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,2,1,5,3,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [4,8,3,2,7,1,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,3,8,7,1,6,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,7,3,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,3,8,2,1,7,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,8,7,2,6,5,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,4,1,8,6,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,8,4,2,1,7,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,4,7,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,4,8,3,1,7,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,7,4,1,2,5,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [3,8,6,5,7,4,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,5,8,7,4,2,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,8,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,7,5,3,8,1,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [4,7,5,3,8,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [2,7,5,8,6,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [4,7,5,3,6,8,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [5,7,6,2,8,3,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,7,6,1,8,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [3,8,7,2,1,5,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,1,7,2,8,4,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [4,8,5,6,7,3,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,6,2,8,5,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [6,1,7,3,8,5,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,1,8,3,2,5,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,7,8,3,1,5,4,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [4,8,5,6,7,2,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,6,2,7,4,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,6,2,8,5,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,8,7,3,2,4,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,6,5,8,7,3,1,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [5,8,7,1,6,2,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,3,1,4,8,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,5,6,1,3,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,7,6,1,3,8,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [6,7,1,4,2,8,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [7,4,5,1,3,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,8,4,7,3,2,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,5,4,2,7,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [1,8,4,6,3,2,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,4,8,5,3,2,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,1,3,2,4,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [4,1,8,2,6,7,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,6,7,8,2,1,4,5]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [4,2,8,3,6,5,1,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,3,8,7,2,4,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,6,1,8,2,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,1,3,4,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [1,8,3,4,5,2,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,6,4,7,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,3,5,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,8,7,4,6,2,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,4,8,1,5,7,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,2,1,8,6,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,5,8,2,6,3,1,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [2,8,5,4,1,3,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,2,8,7,1,3,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,5,1,8,7,3,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [1,8,4,7,6,2,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,2,3,8,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,8,1,2,7,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,1,8,7,2,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,8,4,3,7,2,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,1,2,8,7,3,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,3,2,8,4,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,6,8,3,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,8,1,7,6,2,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,2,8,6,5,3,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,1,8,7,6,5,2,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,6,5,2,8,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,1,8,7,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,5,1,8,6,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,8,7,6,1,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [9,1,8,2,3,4,5,6,10,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [9,7,1,2,3,4,5,6,10,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [2,10,1,9,3,4,5,6,7,8]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [2,10,8,1,3,4,5,6,7,9]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [6,8,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,7,5,8,1,4,6,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [6,2,7,4,8,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,7,1,3,8,5,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,7,1,8,5,2,4,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [8,1,2,3,5,6,7,4,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,1,7,3,2,6,4,5,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,3,4,5,7,1,2,6,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [5,7,1,9,2,8,4,6,3]=>[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [7,9,4,6,1,8,2,3,5]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,10,1,7,2,9,3,5,4]=>[1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [8,10,4,5,7,1,9,2,3,6]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,7,4,8,6,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [7,6,5,2,4,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,4,3,1,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,8,7,2,3,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,6,8,2,7,1,5,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,8,6,1,4,5,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,8,7,2,5,4,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,7,2,8,6,5,1,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,7,1,8,6,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [2,7,4,8,3,6,1,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [4,7,3,8,6,1,5,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,3,8,2,5,7,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,8,1,4,5,7,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,1,4,2,5,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,1,8,3,5,2,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,8,1,2,5,4,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,2,8,3,5,1,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,2,8,3,5,7,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,8,2,4,5,7,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,2,5,1,4,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,2,8,5,7,1,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,8,1,5,2,4,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,5,6,4,1,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,8,6,4,1,3,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,1,4,2,5,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,2,1,4,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,1,4,3,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,1,3,5,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,2,8,1,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,8,1,5,6,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,6,8,1,5,3,7,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [6,8,2,1,5,3,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,8,2,5,3,6,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,5,8,2,3,6,7,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,8,5,3,2,6,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,6,7,4,2,8,3,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [7,5,2,4,3,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,8,1,2,5,4,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,4,1,8,5,2,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,1,2,8,5,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,7,6,4,8,5,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [6,3,2,5,8,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,1,8,3,5,4,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,8,3,2,6,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,2,3,4,6,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,2,1,7,8,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [7,4,6,8,3,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,6,1,2,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,2,1,4,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,4,8,3,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,8,5,6,1,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,8,5,1,3,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,8,2,5,1,3,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,7,4,2,1,5,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [1,8,6,4,7,3,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,7,1,8,6,3,5,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [5,4,8,1,7,3,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,8,6,2,1,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,8,3,2,4,6,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,2,8,5,3,1,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,2,8,7,3,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [3,6,8,1,7,4,2,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [7,8,6,3,1,4,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [3,8,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,8,7,5,2,1,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,6,2,8,5,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,7,8,5,6,2,3,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [2,7,8,5,6,1,4,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [6,7,8,4,2,1,5,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [4,7,8,1,2,5,6,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [6,7,8,3,5,4,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,2,1,5,3,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,2,3,6,1,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,2,3,5,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,8,2,1,5,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,7,4,1,6,8,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [6,5,1,2,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,6,8,1,3,7,2,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [3,7,4,8,6,1,2,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [5,8,1,6,7,4,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,2,8,4,6,1,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,7,4,3,8,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [1,7,8,4,6,2,3,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,1,8,4,6,2,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,3,4,6,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [4,7,2,8,5,3,1,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [6,5,2,8,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,1,8,3,4,7,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [1,8,6,3,5,2,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,7,1,6,8,3,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [7,1,8,4,2,5,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,7,3,6,8,4,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,8,7,4,2,1,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [1,8,7,3,2,5,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,1,8,6,2,3,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,5,8,6,2,3,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,8,5,7,6,3,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,7,5,3,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,8,5,2,1,7,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,3,8,2,6,1,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,6,2,5,3,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,2,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,2,4,3,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,2,3,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,3,7,2,8,1,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [7,8,4,3,1,5,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,5,7,3,8,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,7,8,1,3,4,2,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,7,8,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,7,1,3,4,2,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [7,3,5,6,4,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,5,3,6,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [3,7,5,8,4,1,2,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [7,5,6,8,1,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,3,7,6,8,1,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [7,3,5,1,2,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [3,7,1,2,8,5,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [7,4,8,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,8,2,4,6,1,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,1,4,8,5,2,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,8,7,4,2,1,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,6,8,4,7,3,1,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,4,8,1,2,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,1,8,2,4,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,8,2,3,6,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [2,7,1,8,6,3,5,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [5,7,6,1,3,2,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [5,4,7,2,8,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [2,7,1,8,6,5,4,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [3,7,6,1,8,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [8,6,4,2,1,3,5,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,6,2,1,4,3,5,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,4,2,1,6,3,5,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,6,4,2,9,1,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [8,2,1,4,3,6,5,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [6,2,8,3,1,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [8,9,4,2,5,1,3,6,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,7,8,3,1,4,5,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,8,5,3,2,6,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,6,7,4,2,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,7,8,4,2,3,5,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [1,7,8,3,4,2,5,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [1,7,8,4,5,2,3,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [1,7,8,3,4,5,2,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [5,8,2,7,3,4,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,7,2,3,4,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,8,7,5,2,6,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,7,3,2,5,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,3,8,1,6,7,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,2,1,3,7,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,1,8,3,6,7,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [1,8,7,6,4,3,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,1,8,7,5,3,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,8,7,3,2,4,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,8,7,6,4,5,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,7,6,3,1,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,3,5,2,8,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,2,8,4,1,3,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,8,5,2,1,4,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,6,4,1,8,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,4,2,1,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,2,8,6,3,7,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,6,8,1,2,5,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,9,1,2,3,4,8,5,7]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,10,1,2,3,4,5,9,6,8]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,7,1,2,6,8,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,9,1,2,6,3,4,8,7]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,4,3,1,6,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,8,7,3,5,4,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [8,1,2,3,4,6,9,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [8,1,2,4,6,9,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [9,1,2,3,4,5,7,10,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,1,2,5,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [9,1,2,3,5,7,10,4,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [9,1,3,5,7,10,2,4,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,1,2,8,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,4,5,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,7,5,4,8,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,8,1,6,4,7,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,8,6,5,7,2,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,8,1,4,7,3,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,1,8,4,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,7,1,6,8,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,4,1,7,3,8,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [7,2,4,6,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,4,7,8,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [2,7,4,8,6,1,5,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [3,7,8,6,4,2,5,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [6,2,8,4,7,5,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,1,2,5,6,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,1,3,6,8,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,2,8,5,1,6,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,5,8,1,4,2,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,8,2,4,5,1,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,5,1,8,4,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,1,8,7,4,6,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,1,4,3,8,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,3,1,8,7,4,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [2,8,4,1,3,7,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,2,3,8,7,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [2,7,8,3,4,1,5,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [2,8,6,7,5,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,2,6,8,1,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,8,2,7,4,1,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,1,7,8,5,3,2,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,8,3,4,6,1,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,1,7,4,2,5,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,8,7,1,5,4,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,3,8,2,7,1,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,1,5,2,6,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,1,8,3,4,5,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [3,7,1,6,8,4,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [3,8,5,2,6,7,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,1,8,4,6,3,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,8,6,4,7,1,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,7,1,4,8,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [7,8,9,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,9,4,3,2,1,5]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,2,5,3,6,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,6,2,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,3,8,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,3,1,4,6,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,2,8,3,6,4,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,2,1,4,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,2,8,3,7,5,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,2,8,3,7,4,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,3,1,4,8,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,6,3,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,2,7,3,8,4,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [6,2,5,3,8,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,2,5,3,8,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,4,3,8,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,4,3,8,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,2,4,3,1,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,5,3,1,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,6,3,1,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,2,8,4,1,5,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,1,3,2,5,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,7,2,8,1,4,3,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [5,8,2,7,1,4,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,3,1,5,2,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,1,5,3,2,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [8,7,6,5,3,2,1,4,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,7,6,4,3,2,1,5,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,7,5,4,3,2,1,6,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,7,6,5,4,1,2,3,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,7,6,5,2,3,1,4,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,7,6,3,4,2,1,5,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,7,4,5,3,2,1,6,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,5,6,4,3,2,1,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [7,3,4,2,1,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [1,8,5,3,2,4,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,7,8,1,5,6,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [2,7,3,8,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [7,1,4,3,8,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,6,2,7,8,3,4,1]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [7,4,1,8,5,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,5,8,1,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,4,8,1,5,7,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,8,7,9,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [5,8,7,6,9,4,3,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,2,6,8,1,3,7,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,8,1,6,3,7,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,1,5,2,6,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [1,8,5,6,2,7,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,2,4,8,6,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,2,1,8,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,2,1,6,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,2,4,3,5,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [4,3,8,2,1,5,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,5,8,3,2,7,1,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [6,8,5,2,7,3,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,4,7,8,2,3,6,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,3,8,2,1,6,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [1,9,2,4,5,6,7,8,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [6,4,7,8,3,1,5,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,8,1,7,6,4,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,6,7,1,8,3,4,2]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [7,1,8,6,2,5,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,6,7,4,8,1,3,2]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [4,8,1,7,2,5,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,1,8,4,5,6,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,2,3,4,5,1,9,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [8,1,9,4,5,6,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,9,3,4,5,6,1,8,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [9,2,3,4,5,6,1,10,8,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,8,3,4,5,2,9,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [8,2,3,4,1,6,9,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,3,2,5,8,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [8,1,3,9,5,6,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,8,4,5,3,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,9,4,5,6,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [9,1,10,4,5,6,7,8,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,9,3,4,5,1,7,8,2]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [8,10,3,4,5,6,7,1,9,2]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,11,3,4,5,6,7,8,9,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,3,5,2,1,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,7,2,1,3,6,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [3,7,2,6,8,1,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [7,4,8,6,5,1,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,7,6,8,5,1,4,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [7,3,1,6,8,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,6,8,5,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,5,8,7,6,4,1,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [6,8,2,7,5,4,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,1,7,6,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [9,10,1,2,3,4,8,5,6,7]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,7,1,2,3,4,8,5,10,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [2,10,1,5,3,4,6,7,8,9]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [7,5,2,4,3,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,3,2,8,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,7,3,6,1,8,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [7,6,2,4,1,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,3,8,2,6,7,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,2,6,4,3,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,6,2,4,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,4,1,3,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,8,2,1,5,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,5,4,8,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,2,4,8,5,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,6,2,8,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,6,3,8,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,6,8,1,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,8,5,1,3,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,8,5,3,2,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,8,2,5,6,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,5,8,7,2,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,1,5,7,4,8,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,1,5,7,8,3,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [7,2,3,5,8,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,4,2,8,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,4,8,3,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,1,8,5,7,6,2,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,7,5,8,4,2,1,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [6,1,5,8,3,4,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,7,5,1,3,2,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [6,8,5,1,4,2,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,4,5,1,3,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,7,8,5,3,4,6,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [6,3,8,1,4,2,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,8,1,5,6,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,8,2,6,5,3,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,1,7,2,6,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,3,8,1,2,6,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,1,8,3,7,4,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,2,5,3,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,4,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,8,4,3,6,2,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,5,1,6,3,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,2,6,3,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,5,1,6,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,1,4,6,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,6,5,4,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,8,4,3,1,7,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,6,8,5,2,4,7,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [5,7,8,4,3,2,6,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [6,7,1,3,2,8,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [3,7,6,5,8,2,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [5,7,4,2,8,6,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [3,8,5,7,6,2,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,7,1,4,2,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,6,8,4,3,1,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,3,5,8,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,7,6,1,5,8,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [6,8,7,1,5,4,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [9,10,1,8,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,2,6,1,5,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,7,3,8,6,2,5,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,7,3,6,8,2,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,4,7,3,8,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,4,8,3,6,2,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,8,2,5,7,1,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,8,6,2,7,5,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,4,2,7,3,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,6,8,7,3,4,5,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,7,8,5,6,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [2,6,8,1,5,4,3,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [3,5,8,2,1,4,7,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [4,2,8,5,3,7,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,4,5,1,8,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,4,7,8,3,1,2,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,5,8,1,3,7,2,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [7,6,2,8,1,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,7,2,6,8,3,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [6,3,2,8,7,4,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,4,3,8,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,6,5,1,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,2,8,5,6,3,1,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,4,2,1,8,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,2,5,3,8,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,6,1,8,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,4,8,6,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,2,5,1,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,1,4,2,3,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,5,2,4,8,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,2,1,5,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,3,8,1,5,2,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,1,4,5,8,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,8,1,6,5,2,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,4,8,6,5,1,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,7,8,6,5,1,2,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [4,5,8,2,7,3,1,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [6,5,8,2,7,3,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,8,2,7,3,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,1,3,6,4,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,3,8,2,7,5,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,5,7,8,3,2,1,6]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [5,7,3,4,2,6,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [5,7,4,2,3,6,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [6,8,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,3,4,6,1,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,4,3,8,5,1,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,8,2,3,5,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,6,8,2,3,1,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [5,6,8,4,1,2,3,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [6,4,8,5,1,2,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,4,8,3,1,2,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,7,8,2,3,1,4,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,4,7,8,2,1,3,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [5,8,6,3,1,2,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,5,2,1,3,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,3,8,1,2,5,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,4,3,2,5,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,4,8,3,7,2,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,6,8,5,2,1,7,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [5,4,8,3,2,7,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,1,8,6,2,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,3,4,8,1,2,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,8,1,7,4,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,1,3,2,6,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [8,7,6,4,5,3,2,9,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [2,9,8,7,5,6,4,3,1]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,1,3,5,8,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [3,5,8,7,4,6,2,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [6,8,5,7,3,4,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,3,6,8,4,2,1,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [5,1,6,8,4,7,3,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [6,2,8,3,4,1,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,8,7,2,4,1,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,3,8,5,1,7,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,8,7,3,5,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,8,2,7,6,4,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,3,8,6,2,7,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,3,8,6,7,2,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,7,2,4,6,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,5,8,3,7,4,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,1,3,5,4,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,3,5,2,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,5,8,4,3,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,7,3,1,5,2,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,2,3,8,5,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [2,8,6,3,5,7,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,1,8,2,5,3,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,8,6,4,2,7,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,5,2,1,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [3,7,5,2,8,1,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [4,7,1,6,8,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [4,1,8,6,3,5,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,4,8,6,3,7,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,7,3,4,8,2,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,4,7,5,3,8,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,7,6,4,8,3,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [5,7,4,8,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [7,1,4,5,3,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,4,5,8,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,5,8,1,4,6,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,7,3,8,5,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,8,5,3,2,6,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,4,5,3,6,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,8,4,1,3,6,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,3,8,2,4,1,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,3,7,8,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,3,7,8,1,5,4,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,5,8,1,6,4,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,8,2,7,3,1,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,1,2,8,5,3,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,5,2,8,1,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,8,5,7,1,3,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,2,7,1,3,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,1,6,8,3,2,7,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [5,7,8,2,4,1,3,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,8,5,3,1,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,2,1,7,8,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,2,7,8,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [5,2,8,6,4,1,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,7,8,3,2,5,4,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [5,7,2,6,4,8,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [7,2,1,8,4,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,8,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,2,3,7,8,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,2,4,3,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,1,4,7,2,8,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,7,2,4,3,6,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [5,7,3,4,6,2,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [2,8,3,6,1,7,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,4,5,6,2,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,3,8,2,1,4,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,5,8,1,7,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,5,2,3,8,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,7,6,1,2,8,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [7,4,6,5,1,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,3,2,6,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [2,7,4,8,5,3,1,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [6,1,3,8,4,2,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,4,6,8,1,3,2,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [6,4,8,3,5,7,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,5,8,2,4,1,7,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [7,2,8,4,1,3,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,8,1,2,4,3,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,3,5,8,2,4,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [2,8,7,1,4,6,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,5,3,7,4,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,5,6,2,8,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,7,6,2,8,1,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,3,8,1,2,5,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,6,4,8,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,5,3,8,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,5,4,2,8,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [8,6,9,7,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,4,8,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,7,5,9,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,7,6,4,9,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,5,3,2,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [8,7,6,5,3,9,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [8,7,6,5,4,2,9,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [1,8,5,2,3,6,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,2,7,4,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,2,6,3,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,3,7,5,4,2,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [7,5,2,6,3,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [3,8,2,7,5,4,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,4,8,6,7,1,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,7,2,8,1,6,4,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [5,2,8,6,4,7,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,1,3,6,5,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,7,5,4,2,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,7,6,2,4,8,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [7,6,8,1,3,5,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,8,4,6,1,7,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,6,4,7,3,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,5,8,6,7,1,4,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [7,2,5,8,6,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,2,8,3,4,7,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,8,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,1,8,5,2,7,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,8,7,2,4,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,6,3,2,8,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,7,3,1,8,5,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,7,8,2,5,6,1,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [7,5,1,4,2,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,8,6,1,2,4,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,1,7,8,6,2,3,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [7,5,1,2,4,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,2,6,4,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [1,8,3,6,4,5,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,1,6,2,5,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [1,8,3,7,4,5,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,3,1,2,6,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,8,2,5,3,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,1,8,2,6,3,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [2,6,8,3,5,1,4,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [5,4,7,8,1,3,2,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [5,7,3,2,8,1,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [3,6,8,5,4,1,7,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [5,4,7,8,1,3,6,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [7,6,1,4,2,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,5,1,4,8,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [2,8,3,7,4,5,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,9,1,8,7,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,9,8,1,7,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,2,4,1,3,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,8,2,6,1,7,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,7,1,4,5,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,8,7,6,2,1,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,6,2,3,4,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,6,2,1,4,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,5,8,6,2,1,3,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [6,4,7,5,8,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,3,7,4,2,5,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,2,1,5,8,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,5,6,2,4,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [4,2,8,5,3,6,1,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,6,5,3,1,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [4,2,8,5,3,6,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [2,8,6,3,5,4,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,3,5,1,6,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [1,8,2,5,6,4,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,4,6,1,3,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,8,2,7,6,1,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,3,8,6,5,1,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,8,5,1,4,7,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,2,6,5,8,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,8,2,3,4,6,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,8,3,5,2,4,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [1,7,8,4,5,3,6,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,1,8,5,3,4,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,8,6,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,3,8,7,5,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,6,2,1,8,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,3,6,8,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,4,2,1,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,1,3,4,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,8,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,2,5,4,6,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,2,4,5,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,2,1,5,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,8,5,6,4,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,6,8,5,4,1,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,8,4,6,5,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,8,6,3,1,5,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,1,4,5,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,5,6,4,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,3,2,4,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,2,3,6,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,7,2,8,3,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,1,2,3,8,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,3,8,6,4,1,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [8,10,1,2,3,4,5,9,6,7]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,11,1,9,2,3,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,10,1,5,6,7,8,9,3,4]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [7,4,5,1,2,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,7,1,8,5,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,7,4,2,3,8,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [3,8,2,5,1,7,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,4,2,3,7,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,5,2,1,7,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,8,7,5,2,4,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,6,8,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [7,3,1,6,8,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,1,8,6,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,6,8,3,7,1,2,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [6,4,8,3,7,2,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,8,4,2,7,3,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [8,9,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,7,8,2,4,3,5,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [5,7,4,8,1,3,2,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [6,3,1,2,8,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,2,1,5,3,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,4,6,8,3,1,7,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [3,6,8,4,5,1,7,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [7,3,1,2,8,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,8,3,1,4,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,7,2,8,4,1,3,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [5,6,2,8,4,1,3,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [3,5,8,4,2,1,6,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,8,1,3,5,7,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,4,7,8,3,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [3,6,8,2,5,1,4,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [3,6,8,7,2,5,4,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [1,8,7,5,2,4,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,7,5,2,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,7,5,2,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,4,7,1,5,3,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,3,8,2,6,4,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,3,8,2,6,5,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,7,1,4,8,2,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,5,7,1,4,3,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [4,8,3,5,7,6,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,7,6,1,2,4,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,8,3,5,7,6,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,7,6,2,4,8,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [6,7,5,2,3,8,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,7,5,3,8,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [7,3,1,4,2,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,1,6,2,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [1,8,7,3,4,5,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,4,5,2,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,4,5,2,8,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [4,8,6,2,3,1,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,4,2,1,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [2,8,6,4,5,1,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,5,1,8,3,2,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [1,8,7,4,5,3,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,3,1,4,5,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,1,7,2,8,4,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,2,7,8,1,3,5,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [5,1,8,4,3,7,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,2,8,1,4,5,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,6,3,5,10,2,7,9,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [8,5,10,4,7,6,2,9,1,3]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [8,3,4,10,5,6,7,9,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,5,2,3,6,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,5,8,1,6,7,2,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,7,2,5,8,4,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [6,7,8,4,1,5,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,2,8,3,5,1,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,8,2,5,3,4,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,7,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,4,5,6,1,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,5,2,8,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,1,8,7,4,5,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,8,7,1,6,3,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,2,7,5,3,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,7,8,5,4,2,3,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,2,3,6,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,7,3,2,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,6,4,5,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,5,2,1,6,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,1,5,4,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,3,2,1,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [2,8,7,3,4,6,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,1,8,3,4,5,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,8,7,3,4,2,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,8,7,1,2,4,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,8,5,3,4,6,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,1,6,5,4,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,3,6,4,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,5,3,6,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,8,7,1,2,6,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,1,7,3,8,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,8,4,7,3,6,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,2,8,7,3,1,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,5,8,2,1,7,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,1,4,3,8,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,1,3,8,7,2,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,6,3,8,7,2,1,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [4,8,5,3,6,7,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,8,5,3,4,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,6,3,2,5,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,4,5,8,3,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,6,2,8,5,3,7,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [7,5,3,4,8,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [2,8,3,1,4,6,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,8,3,7,6,4,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,7,2,6,3,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,8,7,2,6,3,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,8,7,1,6,3,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,2,8,7,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,2,1,8,7,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,8,7,4,5,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [2,8,3,4,1,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,7,3,8,4,2,6,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [3,7,5,4,8,2,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [6,3,8,7,2,5,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [2,8,7,6,1,5,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,8,4,1,7,5,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,6,8,1,4,7,5,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [6,4,8,1,2,7,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,2,8,1,6,7,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,1,2,6,7,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,2,1,6,7,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,6,8,4,1,5,2,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [3,8,6,4,1,5,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,1,4,8,2,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,8,7,5,6,4,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,7,5,6,2,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,7,5,6,2,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,7,5,6,4,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,8,4,5,9,2,3,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [7,4,3,8,9,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [8,6,4,9,3,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,6,5,4,3,9,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,9,10,1,3,4,5,6,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [9,7,5,4,10,3,8,2,6,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [9,7,6,5,4,3,10,2,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,1,6,8,3,7,2,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [3,8,5,2,1,4,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,4,7,1,8,6,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [7,5,1,8,3,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,2,8,1,7,4,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,7,6,1,8,2,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [5,4,7,8,1,6,3,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [5,3,6,8,1,2,7,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,6,5,8,3,2,7,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,7,5,8,3,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [7,3,6,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,6,8,7,5,2,4,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [6,4,7,8,5,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,8,4,6,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,4,7,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [8,9,2,3,4,5,1,6,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,9,2,3,1,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,6,1,2,3,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [2,8,7,5,1,6,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,7,5,2,6,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,7,5,1,2,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,3,7,1,4,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,8,7,4,2,6,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,3,2,4,7,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,3,8,2,4,6,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,5,8,3,2,6,1,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [5,8,2,1,4,6,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,5,8,3,6,1,2,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,7,8,5,2,3,1,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [6,2,7,8,1,5,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,1,2,6,3,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,4,1,8,2,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,1,8,3,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,8,3,1,2,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,6,8,4,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,5,1,6,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,1,7,4,8,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [3,7,5,8,2,4,6,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,8,4,5,7,2,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,4,7,5,6,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,2,8,6,3,7,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,4,1,8,5,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,8,4,5,3,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,7,3,8,2,6,5,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,7,3,1,8,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [6,3,7,1,2,5,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [7,2,5,8,1,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,8,7,5,2,1,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,5,6,2,7,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,8,3,2,5,7,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [8,1,2,3,4,5,9,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [8,1,2,3,4,9,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [9,1,2,3,4,5,6,10,8,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [9,1,2,3,4,5,10,7,8,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,5,4,1,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,5,2,8,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [3,8,1,7,4,2,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,8,2,4,5,3,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,8,5,3,6,1,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,3,1,4,7,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,1,3,5,4,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,4,8,6,3,1,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,6,8,4,1,2,5,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [4,7,8,5,2,1,3,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [6,1,5,2,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,8,2,7,1,4,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [1,8,4,7,3,2,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,8,3,1,4,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [1,8,3,2,6,4,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,8,4,1,3,7,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,6,4,1,8,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,1,6,5,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,1,4,2,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [4,8,1,7,6,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,4,8,3,1,7,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,8,1,7,6,5,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,3,8,7,2,6,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,8,7,2,6,4,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,7,4,6,1,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,4,7,6,1,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,4,8,2,1,3,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,8,7,2,6,1,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,8,4,7,6,3,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,7,6,5,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,1,5,4,6,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,1,3,6,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [2,6,8,3,1,7,4,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [7,5,2,4,8,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,8,2,6,3,5,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,2,6,5,8,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,8,3,1,2,7,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,6,2,5,3,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,8,5,1,2,3,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,4,2,3,6,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,1,3,6,4,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,2,6,8,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,6,8,5,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,8,1,6,2,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,7,8,1,6,3,2,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [7,2,6,8,5,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,2,4,8,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,8,3,1,6,2,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,8,4,3,1,5,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,3,6,4,1,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,3,8,1,6,4,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,2,8,1,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,7,8,2,6,5,1,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,7,8,2,1,6,4,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [7,8,1,6,3,5,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,8,2,5,4,3,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,3,1,5,4,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,1,6,2,5,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,1,6,8,3,4,7,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [7,1,6,8,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,6,8,1,2,3,7,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,8,1,2,7,6,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,7,8,4,2,1,3,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [6,4,8,3,5,2,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,9,1,4,5,6,7,8,2]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,1,3,7,2,8,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,4,5,8,3,7,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [2,6,8,4,3,1,7,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,7,8,4,3,6,2,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [3,8,1,6,4,2,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,2,1,5,6,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,1,8,3,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,7,6,3,1,8,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [5,1,8,6,3,2,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,3,2,4,8,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,7,8,1,4,2,6,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [2,8,6,4,1,7,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,4,2,7,5,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,5,1,7,2,8,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [2,8,1,7,5,3,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,2,6,3,5,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,1,8,5,3,6,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,1,8,4,5,3,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,1,8,5,3,6,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,3,8,4,5,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,3,8,4,5,2,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,8,7,2,3,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,3,8,4,5,2,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,1,8,5,2,6,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,5,8,7,4,1,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,8,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,8,7,2,4,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,2,8,4,5,7,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,1,8,4,5,7,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,6,8,2,5,7,4,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,6,8,5,4,3,7,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [3,6,8,2,5,4,7,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [4,6,8,3,2,5,7,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,6,2,8,3,5,7,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [5,2,6,8,4,1,7,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,6,3,8,7,2,5,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [3,5,8,2,7,4,6,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,6,8,5,7,4,3,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [7,5,1,6,3,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,7,6,3,1,2,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,8,2,1,7,5,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,3,8,5,7,2,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,2,8,1,7,5,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,6,2,7,8,1,3,4]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [4,7,8,3,5,6,1,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [4,7,3,1,6,8,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [6,1,5,8,3,7,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,1,5,8,4,3,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,2,1,6,8,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,9,3,4,5,6,2,8]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,8,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,10,1,4,5,6,7,8,9,2]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [8,1,10,3,4,5,6,7,2,9]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,2,1,9,4,5,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,9,7,3,4,5,1,2,8]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,2,3,1,8,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [8,7,9,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,1,11,3,4,5,6,7,8,2,10]=>[1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [8,2,1,10,4,5,6,7,3,9]=>[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,10,8,3,4,5,6,1,2,9]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,2,3,1,9,5,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,9,6,3,4,1,7,2,8]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,3,6,7,4,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,8,2,7,5,3,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,3,2,5,8,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,6,7,2,8,4,1,3]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [5,8,3,6,4,1,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,3,8,5,2,7,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [2,8,4,5,1,6,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,1,7,8,3,2,4,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [6,1,4,2,8,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [3,7,2,6,8,4,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [5,1,8,6,4,2,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,2,1,8,5,7,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,5,7,8,1,3,4,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,4,7,2,8,3,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,3,2,7,8,4,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [4,7,9,1,5,8,2,6,3]=>[1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [5,9,3,8,1,7,6,4,2]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,9,1,8,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,8,10,4,5,9,1,2,6,3]=>[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,10,3,9,1,8,7,6,4,2]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,3,1,7,4,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,7,5,2,1,4,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,6,8,9,1,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [3,8,5,2,6,1,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,7,4,8,5,2,6,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [6,8,7,1,3,4,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,7,8,6,1,4,2,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [7,1,6,8,3,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,8,4,7,1,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [3,7,8,4,2,5,6,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [6,8,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [1,8,4,3,7,6,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,3,8,7,1,2,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [1,8,4,5,7,6,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,3,8,5,7,1,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,3,4,8,7,2,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,3,8,4,7,1,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,2,8,7,1,4,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [2,7,8,3,1,6,4,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [2,7,8,5,1,4,6,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [3,5,8,7,4,1,6,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [7,4,6,8,3,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [2,7,8,1,3,6,4,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [2,7,8,1,5,4,6,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [2,7,8,1,4,5,6,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [3,6,7,8,2,4,1,5]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [4,5,7,8,6,3,1,2]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [5,4,6,8,7,3,1,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,5,8,6,7,1,3,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [5,7,6,8,2,1,3,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [3,7,6,8,2,4,1,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [5,4,7,8,6,3,1,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,5,7,8,2,6,1,3]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [6,1,5,3,8,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [1,8,6,2,5,4,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,4,1,7,5,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,2,7,4,8,3,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [2,8,5,1,4,3,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,8,2,7,5,1,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,4,7,6,8,2,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [6,4,7,5,8,3,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [5,3,7,6,8,2,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,3,7,2,8,6,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,2,7,6,8,3,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [6,2,7,5,8,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [3,7,8,2,5,4,6,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [6,7,1,3,2,5,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,2,5,3,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,6,2,3,5,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,8,2,6,3,7,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,2,3,7,5,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,5,6,2,3,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [2,8,4,3,7,5,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,5,7,6,4,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,8,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,4,2,5,6,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,7,5,3,8,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [4,8,3,7,5,6,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,2,5,8,3,7,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,7,3,8,2,5,6,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [6,7,2,8,4,3,1,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,3,2,8,4,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [4,7,8,3,1,5,2,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [4,5,8,1,3,2,6,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,7,8,1,6,3,2,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [4,7,1,3,8,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,7,2,8,3,4,6,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [3,7,2,8,5,6,4,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [5,7,8,3,4,6,2,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [7,5,3,8,6,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,8,3,6,4,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,7,5,8,2,6,4,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [5,7,8,1,4,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,2,4,1,6,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,7,8,3,2,6,1,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [7,5,6,8,1,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,1,8,6,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,7,6,8,3,1,5,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [5,4,8,6,1,7,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,1,5,4,2,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,3,6,4,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,1,3,8,4,5,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,8,6,3,1,2,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,2,7,1,3,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [1,8,6,2,4,3,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,5,2,8,7,4,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,8,5,4,2,1,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,5,2,8,6,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,8,3,2,6,5,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,3,2,8,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [1,7,8,6,4,2,3,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,2,8,6,4,1,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,6,1,3,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,4,1,8,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,5,1,6,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,6,1,4,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [4,2,8,3,6,5,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,2,8,5,7,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,8,5,7,1,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,7,3,4,1,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,2,7,6,8,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [7,5,6,1,8,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,6,1,8,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,8,1,6,3,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,7,1,2,8,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [7,1,4,2,3,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [3,7,5,6,8,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [6,8,5,2,4,3,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,8,5,2,4,7,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,1,4,2,5,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,5,1,2,4,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,8,1,4,3,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,2,3,8,6,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,4,6,2,1,3,5,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [4,6,7,8,2,1,3,5]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [8,6,4,9,7,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,8,5,9,6,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [8,6,4,2,9,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,8,5,3,9,6,4,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [7,4,8,5,9,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,7,8,4,9,5,3,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [7,8,5,3,1,9,6,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,7,8,4,2,9,5,3,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [9,7,10,8,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,7,5,10,8,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,9,6,10,7,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [9,7,5,3,10,8,6,4,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [8,9,6,4,10,7,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [8,5,9,6,10,7,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [8,9,6,4,2,10,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,7,1,3,8,4,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [7,3,5,6,1,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,6,1,5,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [1,7,8,6,3,5,4,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [5,6,2,8,4,7,3,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [5,7,6,3,4,8,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [7,3,5,4,6,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,8,3,5,4,1,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,3,5,4,1,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,8,3,1,2,5,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,5,1,3,2,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,5,6,1,3,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,1,3,8,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,3,8,2,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,7,6,1,3,8,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,7,6,3,8,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,8,5,3,2,7,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,4,8,2,3,5,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,9,4,3,5,6,7,8,1]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,8,5,1,2,6,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,2,8,1,4,5,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,4,7,3,8,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [7,1,6,3,4,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [2,8,4,6,3,1,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,4,1,7,2,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,7,5,1,3,8,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [7,8,6,2,4,1,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,6,1,8,2,3,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [3,7,8,1,6,4,2,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [1,7,8,6,3,4,2,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,8,1,5,6,4,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,1,8,5,6,4,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,5,8,6,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [1,8,2,6,5,3,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,6,1,2,3,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [2,7,8,4,1,3,5,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [6,8,1,2,3,7,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,7,5,2,1,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,8,6,3,5,1,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,5,8,7,6,2,4,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [1,8,4,7,2,3,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,7,8,2,4,6,1,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [3,8,1,6,4,2,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,3,2,1,8,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [1,8,3,7,4,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,8,1,2,6,5,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,6,1,8,3,7,2,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [2,8,1,6,5,3,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,5,2,3,4,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,9,6,2,3,4,5,8,7]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [4,3,8,7,6,2,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,4,8,2,7,6,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,1,4,2,3,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,5,8,2,3,1,6,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [5,3,6,8,1,4,7,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,7,2,8,3,1,6,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [5,3,8,4,6,2,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,4,8,1,5,2,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,6,8,1,2,4,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [6,8,1,4,5,7,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,6,8,2,3,4,7,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,8,7,2,1,3,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,1,7,2,8,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [5,8,6,3,2,1,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,5,1,4,8,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,7,8,4,2,3,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,4,3,1,8,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,8,1,6,3,4,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,1,7,3,4,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,3,5,2,1,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,1,5,6,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,8,7,6,3,5,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,1,5,6,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,2,5,8,4,7,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,2,8,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,6,8,2,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,8,4,5,6,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,2,3,8,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [8,5,4,3,9,1,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [9,6,5,4,3,10,1,2,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,8,7,3,2,4,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,8,6,1,4,5,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,5,8,6,4,1,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,10,4,1,6,3,8,5,9,7]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [2,10,4,1,6,3,8,5,7,9]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [2,10,4,1,6,3,5,7,8,9]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [2,10,4,1,3,5,6,7,8,9]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [5,8,7,2,6,4,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,5,1,7,4,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,5,2,7,4,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,3,8,6,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,8,1,6,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,8,2,6,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,2,8,1,7,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [2,6,8,7,1,3,5,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [5,3,8,7,6,2,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,6,2,5,3,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,4,1,3,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [2,6,8,4,5,3,1,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [1,8,2,6,7,4,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,8,5,2,7,1,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,6,4,5,2,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,8,5,4,2,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,4,7,2,8,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [7,1,8,5,3,4,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,8,4,3,1,5,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,7,6,8,3,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [7,3,5,2,6,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [1,8,7,2,4,6,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,2,5,4,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,6,5,2,4,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,7,2,4,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,3,2,1,6,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,2,6,1,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,8,5,2,7,1,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,2,5,1,7,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,5,7,2,1,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,5,8,2,7,4,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,2,1,7,5,8,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [7,5,2,4,1,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,2,1,4,3,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,2,4,6,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,2,6,5,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,6,1,2,4,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,4,5,2,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,1,4,8,7,2,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,1,8,5,7,2,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,1,7,5,8,2,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,1,4,7,8,2,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,8,6,1,2,4,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,1,8,7,5,2,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,7,1,4,2,3,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [6,1,7,4,8,2,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,7,8,5,1,2,4,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,6,5,4,3,2,7,9,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,9,5,4,3,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,3,8,5,6,2,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,3,8,6,7,2,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,6,8,1,5,3,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,6,1,5,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,8,1,7,2,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,1,5,4,8,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [2,7,1,8,5,6,4,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [4,6,8,2,3,5,1,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [6,8,2,1,3,5,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,5,8,6,2,1,4,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [4,8,2,5,6,1,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,3,8,4,2,7,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [2,8,5,3,1,4,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,7,8,4,6,3,2,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,8,3,4,6,5,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [3,8,2,7,5,4,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,7,4,6,3,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,7,4,6,3,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,3,8,6,2,1,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,8,6,4,7,2,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,2,6,5,8,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,8,5,7,4,2,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [6,7,5,2,4,8,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,7,5,4,8,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,5,8,1,3,4,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,8,4,5,1,3,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,4,8,7,5,3,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,7,1,4,3,2,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,2,5,1,4,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,8,1,3,4,2,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,6,5,3,1,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [3,5,8,2,1,4,6,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [3,5,8,2,4,6,7,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [5,3,8,2,1,4,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,2,1,4,3,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,2,4,1,6,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,2,4,6,3,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,2,4,3,6,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,1,4,6,2,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,1,8,4,6,7,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,2,4,6,3,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,8,4,6,7,2,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,4,6,7,2,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,8,6,4,5,7,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,6,4,2,3,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,1,6,2,4,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,6,2,1,4,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,6,2,4,1,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,6,2,4,5,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,6,7,2,1,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,8,4,6,7,5,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,6,8,5,1,7,4,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [5,6,8,2,4,3,7,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [2,8,5,3,6,4,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,3,7,1,4,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,3,5,6,4,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [3,8,4,2,7,6,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,3,2,7,5,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,6,8,1,5,3,4,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [3,8,1,6,4,5,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,4,3,6,2,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,1,5,3,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,7,2,3,1,4,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [7,1,5,2,4,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [1,8,6,4,7,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,4,1,5,8,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,5,8,7,3,1,2,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [2,8,5,1,7,4,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,6,4,7,5,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,1,8,6,3,7,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,5,4,3,8,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,3,8,4,2,1,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,2,8,4,3,1,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,1,8,4,3,2,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,2,3,7,4,8,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,2,3,7,4,8,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,8,6,3,5,4,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,5,7,8,1,6,3,2]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [1,8,2,7,5,3,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,6,8,3,4,2,7,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [7,3,5,1,4,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,3,2,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [3,8,7,1,4,2,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,1,7,8,2,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,8,1,7,3,5,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,6,8,3,7,1,5,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,7,3,5,8,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [7,6,4,2,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,4,1,3,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [4,3,8,5,1,7,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,1,3,2,8,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,7,4,2,5,8,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,7,2,6,1,4,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [3,8,5,7,6,1,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,6,4,7,2,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,6,3,7,2,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,3,1,7,6,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,7,2,1,6,8,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [4,7,8,5,1,6,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [1,8,4,2,3,7,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [8,9,10,1,5,6,7,3,4,2]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,5,6,7,1,3,4,2]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,1,5,6,3,4,7,2]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,5,6,1,3,4,7,2]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,5,6,3,4,7,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,5,6,10,1,3,4,7,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [8,9,5,6,10,3,4,7,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [8,9,10,1,5,6,7,3,2,4]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,5,6,7,1,3,2,4]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,1,5,6,3,7,2,4]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,5,6,1,3,7,2,4]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,5,6,3,7,1,2,4]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,5,6,10,1,3,7,2,4]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [8,9,5,6,10,3,7,1,2,4]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [8,9,10,1,5,6,3,2,4,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,5,6,1,3,2,4,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,5,6,3,1,2,4,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,5,6,3,2,4,7,1]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,5,6,10,1,3,2,4,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [8,9,5,6,10,3,1,2,4,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [8,9,5,6,10,3,2,4,7,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [8,9,10,1,5,3,6,7,2,4]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,5,1,3,6,7,2,4]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,5,3,6,7,1,2,4]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,5,10,1,3,6,7,2,4]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [8,9,5,10,3,6,7,1,2,4]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [8,9,10,1,5,3,6,2,4,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,5,1,3,6,2,4,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,5,3,6,1,2,4,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,5,3,6,2,4,7,1]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,5,10,1,3,6,2,4,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [8,9,5,10,3,6,1,2,4,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [8,9,5,10,3,6,2,4,7,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [8,9,5,3,6,10,1,2,4,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [8,9,5,3,6,10,2,4,7,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [8,5,9,10,1,3,6,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [8,5,9,10,3,6,7,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [8,5,9,10,1,3,6,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [8,5,9,10,3,6,1,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [8,5,9,10,3,6,2,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [3,8,5,7,4,6,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,7,4,5,2,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,6,3,2,5,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [3,6,8,4,5,2,1,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [6,7,2,4,5,1,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,2,7,8,3,6,1,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [7,2,8,3,1,6,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,3,4,1,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,2,8,3,1,4,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,8,6,2,7,1,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,4,2,1,7,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,3,8,2,4,6,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,1,7,8,3,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [7,2,8,4,1,3,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,7,3,2,8,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,2,1,7,3,8,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,8,2,1,3,4,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,4,2,8,3,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,2,8,3,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,7,8,5,2,1,4,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [9,1,10,8,6,7,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,1,9,10,7,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [10,1,11,9,6,7,8,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,4,1,8,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,7,6,3,5,8,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [6,8,2,3,5,7,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,1,4,6,2,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,3,8,6,5,2,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,6,2,1,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,2,6,1,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,6,8,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,6,8,2,1,3,4,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [6,3,2,4,8,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,4,6,1,8,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,8,4,2,3,1,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,1,5,6,3,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [1,8,5,4,7,2,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,2,5,4,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,7,8,1,3,2,4,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [7,8,6,1,3,5,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,3,1,2,8,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,6,3,4,2,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,6,3,7,8,2,1,4]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [4,3,8,6,7,5,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,8,7,2,3,1,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,2,1,3,8,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [7,1,5,4,2,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,3,4,5,6,7,9,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [9,3,4,5,6,7,8,10,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,4,6,2,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,7,6,5,2,8,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [7,5,4,1,6,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,2,1,8,5,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,5,4,8,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,8,1,4,3,2,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,7,4,1,3,2,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,8,1,4,3,2,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,1,8,4,5,3,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,2,4,5,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [2,8,7,1,4,5,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,8,3,1,4,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,2,3,1,5,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,2,1,3,5,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,6,4,5,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,3,7,5,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [5,4,8,7,2,3,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,2,1,7,4,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,5,7,2,1,8,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [7,4,1,3,8,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [3,6,8,4,1,7,2,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [7,5,6,3,8,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,2,6,1,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,4,5,1,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,7,8,1,6,2,4,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [7,9,6,8,4,5,2,3,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,9,5,8,4,6,2,3,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,9,5,8,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,4,7,5,2,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,9,5,8,3,6,4,1,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,9,5,8,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,9,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,9,5,8,4,7,2,3,1]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,9,4,8,3,6,2,5,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,9,5,8,2,6,1,4,3]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,2,7,1,5,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,9,5,8,3,6,4,2,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [8,10,6,9,4,7,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,7,4,2,5,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,9,5,8,6,3,1,4,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [8,10,6,9,4,7,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,9,8,5,3,6,4,1,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [8,10,6,9,7,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [8,10,9,6,7,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,4,5,7,2,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,4,2,5,1,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,4,7,1,3,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,1,3,5,7,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,3,2,7,4,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,3,1,5,4,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,1,2,5,3,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,2,8,3,4,6,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,2,8,3,6,7,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,7,1,8,5,2,4,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [4,2,8,6,7,1,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,7,6,8,2,3,5,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [5,7,4,8,1,2,6,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [3,7,5,6,8,2,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,6,8,7,3,5,1,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [4,7,8,6,2,5,1,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [4,8,7,3,5,6,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,3,8,1,6,5,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,8,7,1,4,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,8,5,3,2,1,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,1,4,8,2,7,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,2,3,1,8,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,4,5,1,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,7,3,8,1,2,4,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [5,6,7,1,8,4,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [3,7,1,2,8,6,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [2,7,8,1,6,5,3,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [5,8,2,7,6,3,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,8,4,7,6,3,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,2,4,7,6,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,4,6,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,6,8,1,4,3,7,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [4,1,8,2,6,7,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,3,4,8,6,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,8,1,6,2,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,8,4,5,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,7,5,3,2,8,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,2,5,3,8,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,6,1,3,5,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,8,5,4,7,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,5,8,1,3,4,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,7,8,5,4,2,6,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,4,6,2,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,8,4,1,6,2,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,1,3,7,6,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,6,1,8,2,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,7,8,1,2,4,3,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,6,1,8,3,5,2,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [7,1,6,8,2,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,7,1,8,3,2,5,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,8,3,6,1,5,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,7,8,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [5,7,4,2,1,8,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [7,4,6,1,8,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,6,3,8,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,8,1,6,3,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,8,3,6,2,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,8,2,3,5,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,6,8,2,5,7,1,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [6,4,8,2,5,7,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,2,4,5,8,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,8,2,4,7,3,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,4,2,7,1,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,2,4,1,7,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,5,1,6,2,4,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,6,3,5,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,5,2,3,8,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,5,2,1,4,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [1,8,3,2,5,6,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,2,8,1,4,6,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,7,8,1,5,6,3,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [6,8,2,3,1,5,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,2,3,1,6,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,7,2,1,4,6,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [7,2,1,3,5,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,8,7,2,3,4,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [10,9,11,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,7,2,8,1,4,5,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,8,4,5,2,1,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,7,5,1,3,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [8,5,2,9,6,3,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,4,7,3,6,2,9,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [8,3,5,7,2,9,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,2,8,3,9,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [8,3,7,2,9,4,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,8,3,7,2,9,4,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [8,2,9,3,6,5,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,6,3,8,5,2,10,7,4,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [9,5,1,7,3,10,6,2,8,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [8,4,7,3,10,6,2,9,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [9,4,7,2,10,5,8,3,6,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [8,3,10,5,7,2,9,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [9,3,5,7,1,10,4,6,8,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [8,2,9,3,10,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [9,3,8,2,10,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [9,2,7,6,5,4,10,3,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [9,2,10,3,7,6,5,4,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,2,6,1,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,2,1,5,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,5,6,8,4,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,2,3,5,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,4,8,2,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,6,2,8,7,1,4,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [7,2,5,8,6,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,3,8,4,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,8,3,4,6,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,2,7,5,8,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [6,7,4,3,1,5,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,4,5,6,2,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,1,8,3,4,6,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,5,8,2,3,7,1,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [7,3,4,8,2,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,8,1,5,4,2,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,5,4,7,2,8,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [7,5,2,1,6,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,8,5,3,7,4,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,2,8,1,5,6,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,5,6,1,4,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,7,2,6,3,8,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [6,8,1,3,2,7,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,2,4,3,8,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,8,2,6,7,4,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,5,8,2,7,3,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,3,8,7,1,4,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [2,8,6,1,5,4,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,6,4,7,1,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,8,7,5,4,3,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,3,1,6,5,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,5,2,4,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,1,5,8,2,7,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,1,2,3,6,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [9,1,2,3,8,5,10,7,6,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [9,1,2,8,4,3,10,7,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [9,1,8,3,2,5,10,7,4,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [8,1,2,3,10,5,9,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [8,1,2,10,4,3,9,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [8,1,10,3,2,5,9,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,1,10,3,2,9,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [8,1,2,3,10,9,5,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [8,1,2,10,3,9,4,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [8,1,10,2,4,9,3,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,1,10,2,9,3,6,4,5,8]=>[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [8,10,1,3,4,9,2,7,6,5]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,10,1,3,9,2,6,4,5,8]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,1,3,8,7,4,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [2,8,4,6,5,1,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,4,1,3,6,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,7,2,8,1,3,6,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [2,7,8,4,1,3,6,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [5,2,8,3,4,1,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,7,6,8,3,1,2,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,8,2,7,6,5,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,4,2,8,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,8,2,7,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,5,8,2,1,6,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,8,7,1,3,2,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,7,4,6,1,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,8,7,5,4,1,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,8,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,7,8,2,4,5,3,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,1,8,2,4,5,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,7,2,5,8,4,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [1,8,7,4,3,5,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,7,8,6,5,3,1,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [6,3,1,5,8,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [2,8,3,5,6,1,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,2,5,8,1,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,7,5,8,1,2,6,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [4,7,5,8,1,2,3,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [3,7,8,4,2,1,6,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [3,6,8,4,2,7,1,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [7,4,1,6,2,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,3,1,6,5,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [4,7,2,8,5,1,6,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [7,8,6,2,1,5,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,8,1,6,3,7,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,7,3,2,4,8,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [2,6,8,5,4,3,1,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [2,8,4,6,3,5,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,7,8,3,6,4,5,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [3,8,1,4,6,5,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,6,1,8,5,3,2,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [3,8,5,2,1,6,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,5,8,1,3,7,6,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,8,6,1,2,5,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,8,1,5,4,7,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,7,2,5,4,8,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [7,6,2,4,8,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,6,8,7,3,1,2,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [8,9,10,4,5,6,2,3,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,4,5,6,10,2,3,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [8,9,10,4,5,2,3,6,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,4,5,10,2,3,6,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [8,9,4,5,2,3,6,10,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [8,9,10,4,5,6,2,1,3,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,4,5,6,10,2,1,3,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [8,9,10,4,5,2,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,4,5,10,2,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [8,9,4,5,2,6,10,1,3,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [8,9,10,4,5,2,1,3,6,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,4,5,10,2,1,3,6,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [8,9,4,5,2,10,1,3,6,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [8,9,10,4,2,5,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,4,10,2,5,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [8,9,4,2,5,6,10,1,3,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [8,4,9,10,2,5,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [8,9,10,4,2,5,1,3,6,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,4,10,2,5,1,3,6,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [8,9,4,2,5,10,1,3,6,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [8,4,9,10,2,5,1,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [6,1,8,2,4,3,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,4,8,7,1,2,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,6,3,8,5,2,7,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [5,2,8,3,1,6,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [1,7,8,6,3,2,5,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [5,7,6,2,1,8,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [7,2,5,1,6,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,8,9,10,2,5,6,3,4,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,10,4,5,6,1,3,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,10,3,5,6,1,4,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,10,1,5,6,2,4,3]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,10,3,4,6,1,5,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [6,8,9,10,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [6,7,9,10,3,4,8,1,5,2]=>[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [7,8,9,10,1,4,6,2,5,3]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [6,8,9,10,1,4,7,2,5,3]=>[1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [6,7,9,10,1,4,8,2,5,3]=>[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[3,2,2,1]=>[[1,3,8],[2,5],[4,7],[6]]=>2 [5,8,2,7,4,6,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,8,5,1,6,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,5,8,3,1,2,7,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,6,8,3,2,1,7,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,6,8,3,5,1,2,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [7,3,1,8,4,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,8,2,1,5,7,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,5,2,8,3,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,8,7,4,3,2,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,8,5,1,3,7,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,3,2,7,6,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,8,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [8,7,5,3,1,2,4,6,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,5,3,1,2,4,6,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,7,1,5,2,8,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [4,8,1,3,6,2,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,8,2,4,7,3,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,2,3,8,1,5,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,8,5,6,7,1,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,6,2,7,5,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,1,6,2,5,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,8,4,2,5,7,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,8,3,1,2,4,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,1,4,2,6,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,7,4,2,8,1,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [4,7,5,6,2,8,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [6,7,5,2,8,4,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,8,4,3,2,7,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,9,8,7,6,5,1,4,3]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,10,9,8,7,6,5,1,4,3]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [6,1,7,3,5,8,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,1,5,8,7,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,1,8,5,7,4,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,7,5,3,2,8,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,7,5,2,8,6,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,8,6,7,2,5,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,1,2,7,4,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,3,1,8,2,4,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,1,8,4,5,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,6,2,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,5,8,1,4,3,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [9,3,4,5,6,7,1,2,10,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [7,8,1,9,10,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [6,8,3,1,2,5,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,6,4,7,1,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,2,4,3,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,5,2,8,7,1,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,2,3,6,8,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,1,8,3,2,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,8,1,4,2,7,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,4,8,2,1,7,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,8,3,7,1,2,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,8,6,4,1,5,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,7,4,5,1,3,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [4,1,8,7,2,5,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,1,2,6,3,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,1,2,6,3,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [1,8,4,2,7,3,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,1,8,3,2,4,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [2,8,5,7,3,1,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,6,8,7,3,1,4,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [7,4,2,1,3,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,2,1,3,8,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [2,8,7,3,4,1,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,7,6,2,3,8,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [2,8,3,1,5,4,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,4,1,5,2,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,1,7,8,3,2,6,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [1,8,6,2,4,3,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,8,3,1,6,2,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,3,1,6,4,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,2,7,1,5,8,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [4,8,5,1,3,2,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,1,5,2,3,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [2,7,5,8,1,3,6,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [4,3,8,6,7,1,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,3,2,8,6,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,8,2,6,1,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,6,8,2,7,4,1,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [7,4,1,2,6,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,1,2,3,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,4,8,6,3,2,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,6,8,5,1,2,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [1,8,5,3,2,4,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,5,3,4,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,7,8,5,3,4,2,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [1,7,8,6,4,3,2,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [5,1,7,8,4,2,3,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [3,8,2,1,6,7,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,3,1,7,5,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [9,10,6,4,2,1,3,5,8,7]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,7,10,4,2,1,3,6,8,5]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,9,10,4,2,1,3,7,6,5]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [9,10,5,6,2,1,4,3,8,7]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,7,5,10,2,1,4,6,8,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,9,5,10,2,1,4,7,6,3]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [9,6,7,10,2,1,5,4,8,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,6,9,10,2,1,5,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,8,9,10,2,1,6,5,4,3]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [9,10,6,3,4,2,1,5,8,7]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,7,10,3,4,2,1,6,8,5]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,9,10,3,4,2,1,7,6,5]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [9,10,5,3,6,2,4,1,8,7]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,7,5,3,10,2,4,6,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [8,9,5,3,10,2,4,7,6,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [9,6,7,3,10,2,5,4,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [8,6,9,3,10,2,5,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [9,10,4,5,6,3,2,1,8,7]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,7,4,5,10,3,2,6,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [8,9,4,5,10,3,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [9,6,4,7,10,3,5,2,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,8,4,9,10,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [9,5,6,7,10,4,3,2,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [11,9,7,12,4,2,1,3,6,8,10,5]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,8,9,12,4,2,1,3,7,6,10,5]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,3,4,2,1,6,8,10,5]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,8,9,12,3,4,2,1,7,6,10,5]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [2,10,4,5,6,7,9,1,3,8]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [5,7,8,3,4,2,1,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,7,5,3,8,2,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [7,8,4,5,6,1,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,2,8,4,6,7,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,5,8,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,8,7,3,2,1,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,2,6,1,4,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,1,2,4,6,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,2,8,3,4,5,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,8,3,4,2,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,5,1,2,4,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,8,1,4,2,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,5,3,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,1,5,8,4,7,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [2,8,5,1,6,4,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,8,4,3,6,7,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,2,1,5,3,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,4,5,8,1,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,5,8,1,6,7,3,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [5,1,8,4,6,7,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,5,3,8,1,7,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,2,3,6,8,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,8,7,2,1,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,2,5,6,3,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,8,6,3,1,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,4,5,8,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,8,4,7,2,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,2,3,6,8,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,8,5,4,1,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,5,2,8,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,4,2,8,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,6,3,2,8,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,3,6,8,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,5,4,8,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,8,3,6,1,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,5,2,8,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,6,8,2,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,7,8,4,2,3,6,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [6,4,5,2,8,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,4,5,3,8,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,6,4,8,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [7,2,4,6,3,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [2,8,3,7,6,1,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,7,2,5,8,6,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [4,8,5,2,7,6,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,6,5,7,1,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,5,1,7,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,1,7,6,2,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,2,1,3,4,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,4,8,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,8,5,1,7,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,2,8,1,3,6,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,4,3,8,5,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,1,8,7,4,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,1,8,7,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,1,8,4,3,5,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [2,8,4,1,5,3,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,1,8,3,5,2,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,3,2,4,6,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,6,8,1,2,5,3,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [5,4,8,2,3,1,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,7,5,8,2,3,1,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [7,5,3,8,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,1,8,2,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,8,7,2,4,3,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,2,6,8,4,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,1,7,6,8,2,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [6,2,5,8,3,4,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,6,8,7,1,3,2,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [2,8,6,5,7,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,6,5,7,4,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,5,2,8,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,5,8,3,4,2,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,6,8,5,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,1,8,2,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,1,4,7,8,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,1,5,7,8,4,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [5,6,8,3,7,4,2,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [6,8,1,5,2,7,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,5,8,2,3,7,6,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,8,1,3,2,5,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,7,3,8,5,1,6,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [7,6,2,8,1,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,6,2,4,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [2,7,8,1,4,3,6,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [6,5,8,1,3,2,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,1,5,2,4,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,8,6,3,1,5,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,7,2,8,4,1,6,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [7,4,5,6,8,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,1,8,4,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [1,7,8,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [2,8,1,7,4,5,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,3,6,2,5,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [1,8,5,6,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [2,6,8,4,5,1,7,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [7,6,2,3,5,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,3,8,1,4,7,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,5,2,3,1,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [1,8,3,6,4,2,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,8,5,2,6,4,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,2,8,1,3,6,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,4,6,3,1,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,8,7,4,1,5,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,2,4,7,8,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [4,8,1,2,6,5,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,1,6,3,2,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,8,1,2,3,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,4,1,3,6,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,8,3,2,6,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,5,1,6,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,3,8,5,7,1,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [2,8,3,1,4,6,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,4,3,6,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [3,8,5,4,7,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,3,8,1,4,2,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,3,8,1,4,2,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,5,2,6,1,4,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,8,5,3,4,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,3,5,6,4,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [2,8,5,6,3,1,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,2,6,1,5,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,6,2,7,8,3,1,4]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [3,7,8,5,1,4,6,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [6,4,7,8,1,2,5,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,5,8,1,2,3,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,6,5,3,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,4,1,6,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,1,3,5,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,2,5,1,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,5,8,1,4,2,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,8,4,1,3,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,7,2,3,8,1,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,2,8,1,7,4,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,4,6,8,3,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,2,1,5,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,8,7,3,1,2,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,7,8,1,4,5,3,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [3,7,8,1,2,4,6,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [7,3,4,1,2,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [3,8,2,7,4,5,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,8,2,4,5,1,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,3,8,1,7,5,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,1,8,4,2,3,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,8,1,4,7,3,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,2,7,3,1,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,8,1,5,3,7,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,2,4,7,5,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,3,5,6,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,3,7,6,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,8,2,3,7,4,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,2,8,3,7,6,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,6,1,8,2,7,5,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [6,3,5,2,8,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,4,8,6,3,7,2,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,4,5,8,1,3,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,3,5,1,8,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,4,5,8,2,1,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [3,8,6,4,5,2,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,5,8,6,2,3,7,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,6,8,5,3,7,2,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,6,8,1,2,5,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,6,8,5,1,3,7,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,7,8,4,6,1,5,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [4,6,5,8,2,1,3,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [1,8,7,4,2,3,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,7,9,8,1,3,4,2,5]=>[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [7,3,2,4,8,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,6,2,1,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [3,8,6,7,1,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,7,1,8,4,3,6,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [5,4,8,7,6,2,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,5,2,4,1,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,6,8,5,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,3,8,1,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,7,6,2,5,8,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,7,4,8,6,2,5,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [7,3,5,2,8,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,8,9,1,2,3,4,5,7]=>[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,8,9,1,2,3,4,6,7]=>[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [7,4,1,6,3,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,8,3,2,7,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,2,1,4,5,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [4,6,8,5,2,1,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,7,8,2,1,3,5,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [5,7,8,3,2,4,6,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [5,7,8,2,3,1,6,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [6,4,1,8,5,7,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [3,8,5,7,2,4,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,7,1,4,5,2,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [7,2,5,6,1,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,8,4,1,5,7,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,8,3,6,4,1,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,1,8,7,3,2,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,5,3,4,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,4,8,7,3,6,2,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,2,7,6,8,3,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[4,2,2]=>[[1,2,7,8],[3,4],[5,6]]=>2 [6,3,7,4,5,2,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [7,3,4,2,8,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,8,4,5,3,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,8,2,7,4,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [1,7,8,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [1,7,8,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [6,4,5,8,7,2,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,8,1,7,2,4,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [1,8,5,3,7,6,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,4,2,3,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,5,1,3,8,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [5,6,8,2,4,7,1,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [6,7,4,2,3,8,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [5,8,7,3,2,4,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,7,1,4,6,8,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [3,7,2,8,4,1,5,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [4,7,6,5,8,2,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [4,1,8,3,2,6,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,2,6,3,1,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,8,4,1,3,7,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,2,6,5,3,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,7,2,5,6,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,6,4,7,3,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,8,6,3,5,1,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,6,2,5,4,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,4,6,5,2,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,1,3,5,2,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,8,4,3,2,1,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,2,8,5,4,1,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,8,5,3,2,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [9,10,6,7,4,5,2,3,1,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,8,5,4,7,2,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [8,5,9,3,6,1,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,9,4,5,10,1,2,3,6,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [9,6,10,1,3,7,8,2,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,10,6,7,4,5,1,2,3,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,6,4,10,3,7,1,2,5,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,8,5,6,1,2,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [4,6,8,1,5,2,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,8,5,1,2,4,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,6,2,8,1,7,3,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [6,8,4,5,1,3,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,4,6,5,8,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,6,5,8,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,6,4,8,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,5,4,8,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,6,8,4,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,5,8,6,2,4,7,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [7,3,1,2,5,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [1,8,7,3,2,4,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,8,5,1,7,4,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,8,5,2,3,1,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,4,8,3,1,2,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,8,5,1,7,3,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,2,7,3,8,1,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [1,7,8,3,6,5,2,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,3,6,8,4,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,3,7,5,1,2,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [7,2,5,4,8,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,2,3,8,7,4,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,1,2,8,4,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,5,8,1,2,7,6,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [7,6,2,8,5,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,8,3,5,4,7,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,8,2,5,6,3,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,6,8,2,1,5,3,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [5,6,8,4,7,2,3,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [4,5,8,2,6,1,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,9,2,1,4,5,6,7,8]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,6,2,8,3,4,7,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [3,7,4,8,1,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [4,8,2,7,5,3,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,5,8,1,7,4,2,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [5,8,6,1,7,2,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,8,6,7,5,2,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,2,8,7,3,6,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,7,8,6,1,4,5,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [4,6,7,8,2,1,5,3]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [4,7,6,3,8,1,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [3,8,1,4,6,2,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,7,5,6,2,8,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [7,8,6,2,3,5,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,8,4,6,7,3,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,7,8,6,5,1,3,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [6,8,4,7,3,5,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,4,5,8,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,8,6,2,1,7,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,8,1,3,6,7,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,5,8,6,1,7,4,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [3,7,8,6,4,1,5,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [4,8,5,3,2,7,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,4,8,1,3,7,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,4,5,3,1,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,6,8,7,2,4,3,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [5,7,8,6,4,2,3,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [6,8,7,5,1,3,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,8,2,6,7,5,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,7,6,3,8,2,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [6,7,4,1,8,2,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [5,7,6,8,3,2,4,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [7,6,4,2,8,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,3,4,8,7,1,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [2,7,4,8,1,6,3,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [1,8,5,6,4,2,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,6,2,4,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,4,8,5,7,3,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,2,6,4,5,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,2,5,4,6,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,7,8,9,1,2,3,4,6]=>[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [7,3,2,1,4,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [2,8,3,4,1,7,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,7,6,8,2,5,3,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [7,1,3,8,2,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,2,8,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,3,4,6,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [3,8,4,6,1,5,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,5,1,2,4,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,4,1,2,3,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,5,8,1,4,2,7,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [2,8,5,7,1,4,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,7,5,1,2,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,6,1,4,2,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,2,7,8,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [7,8,1,2,5,3,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,8,4,7,5,2,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,5,8,2,1,6,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [7,4,2,5,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [4,8,1,5,3,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,1,5,3,6,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,7,8,2,5,6,1,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [2,8,5,4,6,7,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [8,3,6,1,4,2,7,5,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [7,10,1,3,8,2,6,5,9,4]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,1,8,6,7,3,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,8,3,2,4,1,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,4,8,2,1,3,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,2,8,3,1,4,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,8,7,5,6,4,3,2,10,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,7,5,4,6,3,2,9,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,7,4,6,5,3,2,9,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [9,10,2,4,6,8,1,3,5,7]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,7,10,2,4,6,8,1,3,5]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,9,10,7,2,4,6,1,3,5]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,9,5,10,2,4,6,8,1,3]=>[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [9,6,7,5,10,2,4,8,1,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [8,9,6,10,5,7,2,4,1,3]=>[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [7,8,9,10,6,5,2,4,1,3]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [9,3,4,7,10,2,6,8,1,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [8,9,10,3,4,7,2,6,1,5]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,5,9,10,3,7,2,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [9,3,6,7,5,10,2,4,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,9,10,3,6,5,2,4,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [8,6,9,4,10,3,5,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [9,5,6,7,4,3,10,2,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [8,9,5,6,4,10,3,7,2,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [7,6,1,8,2,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,8,4,2,1,6,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,6,4,1,2,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,8,4,3,6,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,8,6,3,5,2,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,6,3,2,7,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,7,6,3,2,4,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [5,7,3,2,8,6,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [8,9,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,6,7,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,7,9,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,7,5,4,3,6,9,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [8,7,6,9,5,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,7,9,6,5,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,6,5,4,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,8,4,2,3,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,6,8,1,7,3,5,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [3,6,8,1,5,7,4,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [2,8,3,1,6,7,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,5,8,3,2,1,7,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,7,8,3,5,1,6,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [4,8,3,2,1,6,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,2,8,1,4,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,6,3,7,8,1,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [6,2,8,1,5,4,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,1,3,4,5,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,2,5,1,3,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,5,2,7,8,4,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [7,5,3,6,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,5,6,3,4,1,2,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,9,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,9,10,2,6,7,1,3,4,8]=>[1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [9,5,6,3,4,10,1,2,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,5,10,3,8,2,6,1,4,9]=>[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,6,9,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,8,5,7,1,2,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,4,3,2,6,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,1,5,7,3,8,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [2,9,4,5,6,7,8,3,1]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,9,4,5,6,7,8,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [2,10,4,5,6,7,8,9,3,1]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [5,9,1,8,2,7,3,6,4]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,7,3,9,1,8,2,6,4]=>[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [6,4,9,1,8,2,7,3,5]=>[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,10,1,9,2,8,3,7,4,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,3,1,5,6,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [2,10,1,3,4,5,6,9,7,8]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [9,3,1,2,4,5,6,7,10,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [7,2,3,1,6,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,1,8,2,5,6,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,7,8,1,6,2,3,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [4,8,2,1,5,7,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,2,5,1,6,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,1,2,4,6,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,2,8,7,3,4,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,2,9,8,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,3,4,8,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,3,6,8,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,3,9,4,5,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,6,2,8,3,1,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [7,4,5,1,8,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [1,8,6,7,5,3,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,4,8,3,1,6,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,4,8,7,3,5,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,5,1,8,3,7,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,1,4,3,8,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,7,6,3,2,8,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [5,7,6,3,8,2,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,8,4,7,1,2,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,1,5,7,2,8,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,8,7,2,5,6,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,2,6,7,4,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,6,3,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,5,7,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,2,4,1,8,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,2,1,4,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,3,2,1,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,5,1,4,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,5,2,1,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,8,7,5,4,2,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [1,7,8,2,4,6,3,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,5,4,8,1,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,6,1,8,4,3,7,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [1,8,2,6,7,5,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,6,1,2,4,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [1,8,5,3,2,7,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,7,2,3,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,1,5,6,2,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,1,5,6,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,10,4,9,3,8,2,1,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,10,4,9,3,2,8,7,1,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,10,4,9,3,2,8,1,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,10,4,9,3,2,1,8,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,10,4,3,9,8,2,7,1,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,10,4,3,9,8,2,1,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,10,4,3,9,2,8,7,1,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,10,4,3,9,2,8,1,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,10,4,3,9,2,1,8,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,10,4,3,2,9,8,7,1,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,10,4,3,2,9,8,1,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,10,4,3,2,9,1,8,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,10,4,3,2,1,9,8,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,7,8,2,1,4,5,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [6,3,7,1,8,2,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [3,7,8,1,5,2,6,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [4,8,1,5,6,2,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,7,8,5,4,2,1,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [7,2,4,5,6,8,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [3,7,4,5,8,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [4,8,3,5,2,1,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,7,1,6,8,2,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [4,6,5,8,2,3,7,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [7,1,8,2,4,5,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,7,8,2,3,4,1,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [7,5,1,2,3,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,8,7,2,1,5,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,3,8,2,5,1,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,5,8,4,1,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,3,8,4,5,1,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,8,7,5,1,2,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,8,4,6,1,3,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,8,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,8,6,2,1,4,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,6,3,1,2,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,2,8,4,7,1,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,3,1,2,8,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,1,8,2,4,6,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,8,2,1,4,5,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,2,1,4,5,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,1,4,5,8,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,5,8,1,2,4,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,1,5,2,8,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [3,8,6,4,1,5,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,8,6,4,5,1,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,4,6,3,1,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [4,7,3,5,8,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [4,8,3,5,7,1,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,3,5,6,1,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,7,2,5,6,8,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,8,2,5,6,7,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,2,4,6,1,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,5,1,8,3,4,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,5,6,1,3,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,7,2,4,6,1,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [7,2,5,4,3,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,2,5,1,3,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [1,8,7,3,5,2,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,6,7,8,5,2,1,3]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1]=>[[1,4,7],[2,6],[3],[5]]=>1 [4,7,2,1,8,6,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,6,2,8,4,1,7,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [5,7,2,4,8,6,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,7,2,4,8,5,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [6,7,3,2,8,5,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [7,2,3,1,8,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,8,3,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,3,8,4,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,8,4,5,3,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [2,8,6,4,3,1,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,4,6,7,2,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,7,1,6,4,8,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [7,4,5,8,1,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,8,4,1,5,7,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,3,1,6,4,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,8,2,6,3,1,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,5,8,1,6,3,7,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,5,8,1,6,2,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [5,2,6,8,1,4,3,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [6,7,3,8,2,1,4,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [2,7,3,8,4,1,6,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [5,3,8,1,4,6,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,5,8,1,3,6,2,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [7,4,6,5,2,8,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,2,6,3,1,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,8,7,2,5,3,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,1,7,5,4,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [6,8,3,1,5,7,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,4,5,1,2,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [4,8,3,2,1,7,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [8,1,2,3,9,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,2,3,9,5,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [9,1,2,3,4,10,6,7,8,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [8,1,2,3,10,5,6,7,9,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [1,9,8,7,6,4,3,2,5]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [1,9,8,7,5,4,3,2,6]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [1,9,8,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [1,9,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [1,9,8,7,6,5,2,3,4]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [1,9,8,7,6,3,4,2,5]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [1,9,8,7,4,5,3,2,6]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [1,9,8,5,6,4,3,2,7]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [1,8,4,5,6,3,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,9,6,7,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [4,7,6,1,5,8,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [3,6,7,8,4,1,5,2]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>1 [4,3,8,1,6,7,2,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,8,7,3,6,1,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,4,3,7,1,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,1,8,3,7,5,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,6,4,8,7,2,1,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [7,2,6,8,3,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,8,6,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,8,3,7,6,1,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,4,7,1,3,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [8,9,2,3,4,5,6,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,9,2,3,4,5,1,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [6,7,8,9,2,3,4,1,5]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [9,10,2,3,4,5,6,7,1,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,9,10,2,3,4,5,6,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,9,2,3,4,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,9,10,2,3,4,5,1,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [6,7,8,9,2,3,1,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [6,8,3,4,5,2,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,9,3,4,5,6,2,1,8]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,9,2,1,5,6,7,8,4]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [8,10,3,4,5,6,7,2,1,9]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,9,3,4,5,2,7,1,8]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [3,8,2,4,5,1,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [3,9,2,4,1,6,7,8,5]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,6,8,1,5,4,7,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [3,8,9,1,5,6,7,4,2]=>[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [3,10,2,1,5,6,7,8,9,4]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,8,5,3,2,4,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,1,8,7,5,3,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [7,2,3,8,6,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,8,1,5,3,4,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,3,5,4,1,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,8,1,2,7,6,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [1,8,2,4,6,5,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,2,1,6,4,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [1,8,6,5,2,7,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,6,2,7,4,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,2,6,4,1,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,1,8,3,7,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,5,8,7,3,6,2,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [2,9,8,7,6,1,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,8,7,2,1,5,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,9,8,7,6,5,2,1,3]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,9,8,7,6,2,1,4,3]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,10,9,8,7,6,1,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [6,9,8,7,2,1,5,4,3]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,9,8,2,1,6,5,4,3]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,10,9,8,1,7,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [8,9,2,1,7,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,10,9,1,8,7,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [2,8,1,5,6,4,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,4,1,6,5,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,2,8,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,8,4,7,3,2,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,7,3,2,1,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,7,2,6,4,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,7,3,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,2,5,6,8,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [5,4,8,6,7,3,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [7,3,6,4,2,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [4,8,5,2,7,3,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,4,3,1,8,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,4,3,1,5,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,4,8,6,5,3,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,8,5,2,6,7,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,3,2,1,8,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,8,1,9,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[3,1]=>[[1,3,4],[2]]=>0 [6,7,8,1,9,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]=>[4,2,1]=>[[1,3,6,7],[2,5],[4]]=>1 [5,7,1,3,2,8,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [7,1,6,3,2,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,1,2,6,4,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [1,8,2,7,6,3,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,8,4,3,5,1,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,3,8,5,7,2,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,6,3,4,1,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,5,2,8,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,6,2,3,1,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [9,6,10,1,3,2,5,4,8,7]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,10,1,3,2,6,5,9,8]=>[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [9,4,8,5,10,1,3,2,7,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [9,2,6,5,10,1,4,3,8,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [8,3,10,1,5,4,9,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [2,8,1,3,5,6,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,6,3,1,8,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,1,3,6,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,6,3,8,1,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,5,8,6,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,4,6,3,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,4,5,8,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,7,2,3,8,4,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [2,7,8,1,5,4,3,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,8,3,7,5,2,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,1,3,8,5,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,4,1,5,2,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,4,5,2,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [2,8,4,7,3,5,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,7,6,5,8,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [8,1,2,9,4,5,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,1,2,3,10,5,6,7,4,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [8,2,1,3,4,5,6,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [3,9,1,4,2,5,6,8,7]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [10,1,11,3,4,5,6,7,8,2,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,2,3,1,4,5,6,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,4,7,1,5,2,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [4,8,1,3,5,2,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,5,3,6,7,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,8,6,3,4,7,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [2,9,5,3,6,7,8,4,1]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,7,1,8,5,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [7,1,4,3,6,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,8,7,3,5,1,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,3,8,7,1,6,2,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,7,1,4,8,5,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [7,3,2,8,5,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,1,3,7,8,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [8,7,9,1,4,5,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,6,9,1,4,5,2,8,3]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [9,8,10,1,4,5,6,7,2,3]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [3,6,8,5,4,2,1,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [5,6,1,8,7,2,3,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [3,9,2,4,5,6,7,8,1]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,6,1,5,2,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,7,3,2,1,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [2,8,1,3,7,5,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,7,2,5,6,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,6,1,2,5,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [1,8,2,5,7,3,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,5,1,3,8,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,3,1,6,8,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [4,8,1,7,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [1,8,7,5,2,6,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,3,6,4,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,8,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,3,6,8,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [10,11,8,1,2,3,4,5,6,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,1,10,9,2,3,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [8,7,1,10,2,3,4,5,6,9]=>[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,4,3,8,6,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,3,1,6,2,7,4,10,8,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [9,5,3,1,6,2,7,4,10,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [9,6,2,1,3,7,4,10,8,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [4,8,7,2,6,1,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,5,8,2,1,7,3,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [6,8,4,1,7,3,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,3,1,8,2,7,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,6,2,8,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,8,2,1,3,6,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,7,6,3,4,1,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [7,8,9,10,1,5,6,3,4,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,1,2,6,4,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,1,2,6,5,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [4,7,8,6,2,3,5,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>[[1,5],[2],[3],[4]]=>0 [7,1,2,4,8,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [2,8,3,6,5,7,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,4,3,1,6,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,8,5,6,2,4,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,3,8,6,2,4,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,4,7,8,6,2,1,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [2,7,4,8,3,1,5,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [6,5,8,2,3,4,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,2,3,6,4,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,2,8,1,3,7,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,5,1,8,2,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,1,8,2,3,6,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,7,2,5,3,8,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [4,6,8,5,1,2,3,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [7,1,8,5,3,2,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,10,2,1,6,4,3,5,7,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,10,2,1,8,4,3,5,6,9]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [9,5,2,1,10,6,3,4,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [9,2,1,10,7,5,3,4,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,2,1,10,6,3,7,4,5,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,3,1,10,7,4,2,5,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,5,1,10,6,3,2,4,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,1,10,7,5,3,2,4,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,1,10,6,3,2,7,4,5,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,4,1,10,5,2,6,3,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,1,10,7,4,2,5,3,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,1,10,6,2,7,4,3,5,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,1,9,2,10,6,4,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [9,1,10,5,2,6,3,7,4,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,1,9,2,10,5,3,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [11,2,1,12,9,7,5,3,4,6,8,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,2,1,12,9,6,3,7,4,5,8,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,2,1,12,8,3,9,6,4,5,7,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,2,1,12,7,3,8,4,9,5,6,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,3,1,12,9,7,4,2,5,6,8,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,3,1,12,8,4,2,9,5,6,7,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,5,1,12,9,6,3,2,4,7,8,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,7,1,12,8,5,3,2,4,6,9,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,8,1,12,3,2,9,5,4,6,7,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,6,1,12,7,3,2,8,4,5,9,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,4,1,12,9,5,2,6,3,7,8,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,7,1,12,8,4,2,5,3,6,9,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,6,1,12,7,2,8,4,3,5,9,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,5,1,12,6,2,7,3,8,4,9,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,2,8,5,7,1,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [6,8,7,4,5,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,5,8,1,7,3,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,4,8,1,5,2,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,2,4,1,6,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [3,8,7,5,4,2,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,7,8,2,3,6,4,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>[[1,4],[2],[3]]=>0 [2,8,7,3,1,4,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,6,7,5,4,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,8,5,1,4,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,4,7,5,3,2,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [7,3,1,4,5,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,3,4,2,1,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [6,4,8,3,1,5,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,4,2,3,5,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,7,1,5,4,3,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [5,8,4,1,3,2,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,3,8,6,2,4,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,6,8,1,5,7,2,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [4,6,5,8,1,7,3,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1]=>[[1,4,5],[2,7,8],[3],[6]]=>3 [4,8,1,2,7,5,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,8,7,2,6,1,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,8,4,7,3,2,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,6,8,4,2,7,1,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [7,2,3,5,6,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,8,1,3,4,7,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,2,4,5,3,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,6,3,1,4,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,8,9,1,3,4,5,6,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [4,8,1,2,3,6,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,2,3,8,7,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,2,3,6,4,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,7,2,4,1,8,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [6,7,2,5,4,1,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,1,3,5,4,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,6,8,2,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,2,8,6,5,1,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,8,5,4,7,1,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,3,2,4,8,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,3,2,6,5,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,2,4,1,6,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,4,7,2,3,8,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [6,1,8,5,7,4,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,1,4,3,6,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,5,6,3,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,8,5,4,7,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,6,1,5,4,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,1,6,8,7,2,4,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [4,5,8,6,7,2,3,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [7,4,8,6,3,5,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,4,3,6,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,3,7,1,4,2,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [5,8,4,6,2,1,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,1,8,2,7,5,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,1,6,3,5,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,7,3,2,8,4,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [2,8,6,1,7,5,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,1,4,2,8,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [2,6,8,1,7,5,3,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [5,1,8,7,6,3,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [2,8,5,7,6,1,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,8,7,2,6,4,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,4,7,6,2,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [3,8,5,2,6,7,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [4,3,8,5,2,6,1,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [5,7,4,1,2,6,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [2,8,6,7,5,3,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,4,5,2,6,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [4,8,3,2,6,1,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,5,4,3,6,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [4,6,8,5,3,1,2,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [5,6,8,4,3,7,2,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>[[1,3],[2,5],[4]]=>1 [7,5,8,4,2,1,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,2,4,1,5,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [2,8,5,4,3,6,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,4,6,5,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,6,7,2,3,8,4,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,2,1]=>[[1,3,6,7,8],[2,5],[4]]=>1 [4,8,5,3,1,2,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,4,7,2,1,3,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [6,7,3,1,2,4,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [3,7,6,8,1,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [3,7,6,8,5,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [7,1,3,8,6,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [2,7,1,8,6,5,3,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [4,1,8,5,7,2,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [4,1,8,2,7,5,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,6,8,2,4,3,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,4,5,3,8,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,6,1,4,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,4,6,8,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,5,1,6,4,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [2,8,1,5,6,4,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,7,2,8,1,5,6,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>[[1,6,7],[2],[3],[4],[5]]=>0 [7,3,2,5,1,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,3,2,8,1,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,3,10,1,2,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,7,1,8,5,3,2,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [7,4,3,5,1,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,5,3,6,2,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,4,3,7,1,8,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [2,8,6,5,1,3,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,1,8,6,2,7,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [3,6,8,2,7,5,1,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [3,8,6,1,5,7,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,4,2,3,1,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [9,8,10,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,7,9,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,9,7,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,9,7,6,5,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,8,2,1,5,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,6,8,3,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,7,2,6,4,1,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [7,6,4,8,5,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [2,7,3,8,5,6,4,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [5,7,1,8,3,2,6,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [5,8,4,3,7,6,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,1,8,7,4,5,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,8,6,4,2,1,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,3,8,6,1,2,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,8,1,4,6,2,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,7,5,1,3,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,8,6,4,2,5,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,4,5,8,7,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,4,1,7,8,3,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>[[1,2,3,7],[4,5,6]]=>3 [6,4,3,8,7,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,6,7,5,8,2,1,3]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [4,8,3,5,1,2,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,1,3,7,2,8,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [3,8,5,4,1,7,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,5,3,1,7,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,2,1,6,4,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,8,2,5,4,7,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,6,8,2,3,1,7,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>[[1,4],[2,6],[3],[5]]=>1 [5,7,4,2,6,1,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [4,5,8,7,6,2,1,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [6,4,7,1,2,3,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,2]=>[[1,2,5,6,7,8],[3,4]]=>1 [8,2,6,10,9,5,4,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [8,2,10,4,5,6,7,1,9,3]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [9,5,4,3,10,7,1,8,2,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [8,2,6,10,4,5,7,1,9,3]=>[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [4,10,8,2,5,6,7,1,9,3]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [8,2,6,10,5,7,1,9,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [9,3,10,4,5,7,1,8,2,6]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [4,9,3,10,5,7,1,8,2,6]=>[1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [4,9,3,10,7,1,8,2,5,6]=>[1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[3,1,1,1,1,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>0 [9,4,3,10,5,7,1,8,2,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,4,3,10,7,1,8,2,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,10,7,1,8,2,4,3,9,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [9,4,2,5,6,7,1,10,8,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,1,7,3,8,4,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [1,8,7,2,3,4,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,3,7,6,2,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,4,5,1,6,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [1,7,8,4,2,6,3,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [6,2,8,5,1,3,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [9,7,3,6,1,2,4,10,8,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,10,9,6,1,2,4,8,5]=>[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [9,6,1,2,4,10,7,3,8,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [8,4,10,9,7,3,6,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,3,10,8,4,9,6,1,2,5]=>[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [9,6,1,3,7,2,4,10,8,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,4,10,9,6,1,3,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [9,6,1,3,8,4,10,7,2,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,2,10,6,1,3,8,4,9,5]=>[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [9,6,1,4,10,8,3,7,2,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [8,3,10,7,2,6,1,4,9,5]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [9,4,10,8,3,7,2,6,1,5]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,3,9,4,10,7,2,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [11,9,5,12,10,7,1,2,4,8,3,6]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,8,4,2,1,3,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,1,6,4,7,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,8,1,2,5,4,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [2,8,4,3,5,1,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,2,6,4,1,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [7,3,5,6,1,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,8,3,1,6,7,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,5,8,1,7,3,6,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,7,1,6,8,5,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>[[1,5,6,7],[2],[3],[4]]=>0 [5,8,7,1,6,4,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,7,1,6,4,2,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [6,7,5,4,1,3,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [7,3,2,6,5,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [2,6,8,4,7,1,3,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>1 [7,8,6,3,2,5,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,2,8,6,3,1,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [2,8,5,6,4,1,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,7,8,2,5,1,6,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [7,3,8,2,4,1,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,3,7,8,1,2,5,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [7,6,1,5,2,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,1,8,6,7,2,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [5,7,1,6,8,2,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[4,1,1]=>[[1,4,5,6],[2],[3]]=>0 [6,8,4,2,1,7,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,3,2,8,1,7,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,8,5,4,3,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,7,4,8,3,1,2,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [6,1,2,4,8,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,4,1,6,5,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [6,8,7,4,3,5,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,7,5,3,4,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [5,8,6,2,4,7,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,8,6,2,5,7,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [3,5,8,4,2,6,1,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>2 [7,5,3,1,9,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,5,2,1,8,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,2,4,8,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,5,8,2,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,6,8,5,1,4,2,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [6,7,3,1,8,2,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>[[1,3,4,5],[2]]=>0 [7,3,1,4,6,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,4,1,2,5,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [5,7,4,8,1,6,3,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [2,8,7,4,1,3,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,2,5,8,3,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,8,2,3,1,7,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,8,3,2,6,5,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,8,3,6,5,2,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,8,4,2,5,3,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,8,4,3,5,2,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [7,3,5,6,1,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [5,7,6,3,4,2,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [6,5,4,8,7,2,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,8,2,9,10,3,4,5,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [7,8,2,9,10,3,4,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [7,8,2,9,10,3,1,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [7,8,2,9,10,1,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>[[1,3,4,8],[2,6,7],[5]]=>3 [7,8,9,10,2,3,4,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,10,2,3,1,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,10,2,1,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [8,4,7,6,5,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [6,9,8,5,7,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [1,9,5,2,3,8,4,6,7]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [1,8,5,6,2,3,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,9,8,1,2,5,3,6,7]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,2,4,6,8,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [3,8,2,6,1,7,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [5,3,7,8,2,6,1,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [4,5,8,3,6,1,7,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [4,5,8,7,2,3,1,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [6,3,1,8,7,4,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [5,7,1,3,6,2,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [6,8,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,8,5,2,3,6,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [4,7,1,3,2,8,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>[[1,5,6,7,8],[2],[3],[4]]=>0 [5,8,7,3,4,2,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [8,7,6,5,4,1,9,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [8,7,6,5,2,9,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [8,7,6,3,9,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [8,7,4,9,3,2,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,5,9,4,3,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,9,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [9,8,7,6,5,4,1,10,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,7,6,5,2,1,4,3,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [9,8,7,6,5,2,10,1,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [8,7,6,3,2,5,1,4,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,7,6,5,1,9,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [9,8,7,6,3,10,2,1,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [8,7,4,3,6,2,1,9,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [8,7,6,2,9,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [9,8,7,4,10,3,2,1,6,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [8,5,4,7,3,2,1,6,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,7,3,9,6,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,8,5,10,4,3,2,1,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,4,9,7,3,2,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,6,10,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [5,9,8,4,3,2,1,6,7]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,10,6,5,4,3,2,1,9,8]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,2,3,4,7,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,7,10,1,2,3,4,5,8,9]=>[1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [3,7,8,5,6,2,4,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [7,4,3,6,2,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [4,3,8,7,1,6,2,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [3,8,2,6,4,7,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [6,5,1,7,4,8,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[5,3]=>[[1,2,3,7,8],[4,5,6]]=>3 [7,6,3,5,1,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,2,6,4,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [8,7,5,6,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,6,5,7,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,5,6,7,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [8,9,7,6,4,3,2,1,5]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,8,7,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,4,8,1,5,3,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,7,1,8,6,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>[[1,4,5],[2],[3]]=>0 [8,7,6,5,4,2,3,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>[[1,2,3,4,5,6,7,8]]=>0 [2,9,8,6,5,7,4,3,1]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,2,6,1,3,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,2,7,1,5,8,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[5,2]=>[[1,2,5,6,7],[3,4]]=>1 [5,8,3,6,7,2,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,8,7,3,4,2,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [1,8,6,2,4,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,7,3,6,4,1,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [2,8,5,7,3,4,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,7,8,3,9,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0]=>[4,2,1,1]=>[[1,4,7,8],[2,6],[3],[5]]=>1 [7,8,2,3,4,5,9,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [8,9,2,3,4,5,6,10,7,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [6,7,2,3,5,8,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[5,1]=>[[1,3,4,5,6],[2]]=>0 [7,4,5,8,2,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [5,3,6,8,2,4,1,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[[1,2,5],[3,4,8],[6,7]]=>4 [1,7,8,6,3,2,4,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,1,2,5,3,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [1,8,3,4,5,7,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,8,2,6,5,4,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,3,7,8,4,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>[[1,2,7],[3,4],[5,6]]=>2 [7,3,6,8,1,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,5,8,2,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,5,8,2,3,4,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,8,7,2,4,3,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,8,2,3,7,4,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,8,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [3,8,5,2,1,6,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,6,1,5,7,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [4,8,7,1,2,5,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,1,7,3,8,2,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,1,8,6,4,2,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,8,5,7,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [4,8,2,7,5,1,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [2,8,4,6,7,1,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [3,8,5,1,4,2,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [2,8,5,1,4,3,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,9,8,5,6,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [1,9,8,5,4,6,7,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [1,9,5,4,6,7,8,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [4,8,2,3,7,5,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,6,2,8,4,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,8,1,5,7,3,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [4,8,5,2,1,3,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,4,2,1,3,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,2,5,3,8,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,4,5,3,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [6,4,5,8,7,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,8,7,5,3,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [6,7,2,4,5,3,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [6,8,7,4,5,3,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [2,8,4,7,5,3,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [5,8,7,4,6,3,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [6,5,8,4,7,2,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [4,8,6,2,5,7,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,8,1,2,4,7,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [6,2,7,1,8,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [6,4,5,8,1,7,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [6,2,8,5,1,4,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,4,5,8,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,6,9,7,4,3,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,6,3,2,1,4,9,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [8,6,4,9,7,5,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [10,8,11,9,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,5,6,9,7,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,7,10,8,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,6,3,2,1,9,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [9,7,4,3,2,1,5,10,8,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>[[1,2,3,4,5,6,7]]=>0 [10,8,6,11,9,7,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,6,3,4,9,7,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [8,6,9,7,3,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,7,5,10,8,6,3,2,1,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,6,2,1,3,4,9,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [8,6,4,9,7,5,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,6,5,9,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,9,8,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [8,7,10,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,6,9,8,4,3,2,1,5]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [8,7,6,10,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,6,5,9,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,6,5,4,9,8,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,4,1,3,6,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,8,1,2,7,3,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,8,1,2,4,7,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>[[1],[2],[3],[4],[5]]=>0 [7,1,4,2,8,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,2,6,8,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,1,4,8,2,3,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,6,2,3,5,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [2,8,5,7,6,3,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [7,4,1,6,2,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,1,7,4,8,5,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>[[1,2,5,6],[3,4]]=>1 [7,8,1,4,5,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,7,8,9,1,3,4,5,2]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [6,7,8,9,1,4,5,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [6,7,8,9,1,4,5,3,2]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [6,7,8,9,1,5,4,3,2]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,1,4,5,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,9,1,4,5,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,9,1,5,6,3,4,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,9,1,5,6,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,9,1,6,5,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,1,5,6,7,3,4,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,9,1,5,6,7,4,3,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,9,1,6,7,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,9,1,6,7,4,5,3,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,9,1,6,7,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,9,10,1,4,5,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,10,1,4,5,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,10,1,5,6,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,10,1,6,5,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [8,9,10,1,4,5,6,7,2,3]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,1,4,5,6,7,3,2]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,1,5,6,7,2,3,4]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,1,5,6,7,4,3,2]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,1,6,7,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,1,6,7,4,5,3,2]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,1,6,7,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,1,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [9,10,1,6,7,8,3,4,5,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,1,6,7,8,4,5,2,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,1,6,7,8,4,5,3,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,1,6,7,8,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,1,7,8,5,6,3,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,1,7,8,5,6,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,1,7,8,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,1,2,6,5,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,4,8,3,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [6,7,2,1,3,4,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1]=>[[1,3,4,5,6,7],[2]]=>0 [5,9,8,7,6,4,3,1,2]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [4,5,8,7,6,3,1,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [6,5,9,8,7,4,3,1,2]=>[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [6,10,9,8,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,3,8,4,6,7,2,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>[[1,2],[3,4],[5,6]]=>2 [4,7,3,8,5,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1]=>[[1,5,6],[2],[3],[4]]=>0 [7,1,4,8,5,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,3,8,7,2,5,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>[[1,2],[3,4],[5,6],[7,8]]=>3 [7,4,2,8,5,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [6,5,1,3,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,1,5,4,6,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,4,7,8,3,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>[[1,2,5],[3,4]]=>1 [2,7,8,3,6,1,5,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [1,7,8,3,6,2,5,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,4,3,5,8,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,3,6,4,1,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,8,4,3,6,1,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,1,6,4,3,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,2,6,4,3,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,5,8,1,7,3,2,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [2,9,3,4,5,6,1,7,8]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [7,4,8,5,3,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [7,1,3,8,2,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [7,2,3,6,4,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [5,7,2,4,1,3,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [7,4,2,6,8,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,4,1,2,8,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [6,4,1,8,5,2,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,3,4,1,6,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [6,3,4,8,5,1,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>[[1,2,3],[4,5,6]]=>3 [7,2,6,8,3,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [1,8,5,4,2,6,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [8,9,7,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,7,9,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,10,8,7,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [5,8,6,1,2,4,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [5,7,2,1,6,8,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [7,8,4,5,6,1,3,9,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>[[1,3,4,5,6,7,8],[2]]=>0 [4,8,9,5,6,7,2,1,3]=>[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [8,3,4,9,6,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [4,7,9,5,6,2,1,8,3]=>[1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [4,9,10,5,6,7,8,2,1,3]=>[1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[2,1,1,1,1,1]=>[[1,7],[2],[3],[4],[5],[6]]=>0 [5,7,3,2,1,8,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,7,6,3,2,1,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [7,3,5,4,1,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,5,1,6,8,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,1,5,3,2,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [6,8,7,3,2,1,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [3,6,8,7,2,4,1,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1]=>[[1,5],[2,7],[3],[4],[6]]=>1 [5,7,3,6,2,1,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [6,7,8,9,3,4,1,2,5]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [6,7,8,9,3,4,2,1,5]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,3,4,5,1,2,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,9,3,4,5,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,9,4,5,2,3,1,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [7,8,9,4,5,3,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,4,5,6,2,3,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,9,4,5,6,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,9,5,6,3,4,1,2,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,9,5,6,3,4,2,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [8,9,5,6,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,8,9,10,3,4,5,1,2,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,10,3,4,5,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,10,4,5,2,3,1,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,10,4,5,3,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [7,8,9,10,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>[[1,3,6],[2,5],[4]]=>1 [8,9,10,3,4,5,6,1,2,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,3,4,5,6,2,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,4,5,6,1,2,3,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,4,5,6,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,5,6,3,4,1,2,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,5,6,3,4,2,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,5,6,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [8,9,10,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[2,1]=>[[1,3],[2]]=>0 [9,10,5,6,7,2,3,4,1,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,5,6,7,3,4,1,2,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,5,6,7,3,4,2,1,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,5,6,7,4,3,2,1,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,6,7,4,5,3,2,1,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,6,7,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [1,8,3,6,2,4,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,8,7,5,6,4,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [6,8,2,1,5,4,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>[[1],[2]]=>0 [9,8,1,10,7,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,11,1,2,3,4,5,9,10,6,7]=>[1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [10,11,1,2,3,4,8,9,5,6,7]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [10,11,1,2,3,9,8,4,5,6,7]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,4,1,2,5,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [4,8,2,6,7,1,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,5,8,3,7,1,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [8,6,1,9,7,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,5,1,9,6,2,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [8,6,4,1,9,7,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [9,7,1,10,8,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,6,1,10,7,2,8,3,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,5,1,10,6,2,7,3,8,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,7,5,1,10,8,6,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [9,7,4,1,10,8,5,2,6,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [8,1,9,3,2,4,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [8,1,9,2,4,5,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,10,7,8,5,3,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,8,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,5,8,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,5,8,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,5,8,3,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,5,8,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,5,3,8,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,5,3,8,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,5,3,8,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,10,7,5,3,1,8,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [9,7,10,8,5,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,7,10,8,5,3,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,7,10,8,5,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,7,10,8,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,7,10,5,8,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,7,10,5,8,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,7,10,5,3,8,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,7,10,5,3,8,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,7,10,5,3,8,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,7,10,5,3,1,8,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [9,7,5,10,8,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,7,5,10,8,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,7,5,10,8,3,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,7,5,10,8,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,7,5,10,8,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,7,5,10,3,8,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,7,5,10,3,8,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,7,5,10,3,8,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,7,5,10,3,1,8,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [9,7,5,3,10,8,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [9,7,5,3,10,8,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [9,7,5,3,10,8,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [9,7,5,3,10,1,8,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [11,9,7,12,10,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,10,8,5,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,10,8,5,3,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,10,8,5,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,10,8,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,10,5,8,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,10,5,8,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,10,5,8,3,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,10,5,8,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,10,5,8,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,10,5,3,8,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,10,5,3,8,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,10,5,3,8,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,10,5,3,1,8,6,4,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,5,10,8,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,5,10,8,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,5,10,8,3,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,5,10,8,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,5,10,8,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,5,10,3,8,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,5,10,3,8,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,5,10,3,8,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,5,10,3,1,8,6,4,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,5,3,10,8,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,5,3,10,8,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,5,3,10,8,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,5,3,10,1,8,6,4,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [11,9,7,12,5,3,1,10,8,6,4,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0]=>[3]=>[[1,2,3]]=>0 [3,7,8,4,5,6,1,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1]=>[[1,6],[2],[3],[4],[5]]=>0 [5,7,1,3,6,4,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[[1,4,5,6,7,8],[2],[3]]=>0 [1,8,6,3,7,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [5,7,3,4,2,8,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>[[1,4,5,6,7],[2],[3]]=>0 [5,8,3,4,2,7,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0 [7,6,4,2,3,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [4,8,7,3,2,5,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [6,4,8,7,3,2,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [5,6,2,8,7,4,3,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>[[1,3,4],[2,6,7],[5]]=>3 [6,2,8,3,7,4,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>[[1,2],[3,4]]=>1 [7,8,2,6,4,3,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [4,5,8,7,2,3,6,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>[[1,3],[2,5],[4,7],[6]]=>2 [7,8,6,1,4,2,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,10,5,1,2,3,4,7,8,9]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [7,8,5,1,2,6,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [6,4,5,1,8,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>[[1,2,3,4],[5,6,7,8]]=>6 [7,8,6,1,4,3,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>[[1]]=>0 [7,6,4,1,2,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[6]=>[[1,2,3,4,5,6]]=>0 [7,1,8,4,3,2,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>[[1,2]]=>0 [1,8,5,2,7,6,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,7,8,6,2,5,4,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>0 [7,5,3,6,8,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [7,2,5,6,4,8,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>[[1,2,3,4,5]]=>0 [7,4,6,2,8,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>[[1,2,3,4]]=>0 [3,7,4,6,8,1,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>0 [4,8,3,1,7,6,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>[[1],[2],[3],[4]]=>0 [5,8,6,4,3,1,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>[[1],[2],[3]]=>0