=>

[1,0]=>[1]=>[1]=>[[1]]=>0 [1,0,1,0]=>[1,2]=>[1,2]=>[[1,2]]=>0 [1,1,0,0]=>[2,1]=>[2,1]=>[[1],[2]]=>1 [1,0,1,0,1,0]=>[1,2,3]=>[1,2,3]=>[[1,2,3]]=>0 [1,0,1,1,0,0]=>[1,3,2]=>[3,1,2]=>[[1,3],[2]]=>1 [1,1,0,0,1,0]=>[2,1,3]=>[2,1,3]=>[[1,3],[2]]=>1 [1,1,0,1,0,0]=>[2,3,1]=>[2,3,1]=>[[1,2],[3]]=>2 [1,1,1,0,0,0]=>[3,2,1]=>[3,2,1]=>[[1],[2],[3]]=>3 [1,0,1,0,1,0,1,0]=>[1,2,3,4]=>[1,2,3,4]=>[[1,2,3,4]]=>0 [1,0,1,0,1,1,0,0]=>[1,2,4,3]=>[4,1,2,3]=>[[1,3,4],[2]]=>1 [1,0,1,1,0,0,1,0]=>[1,3,2,4]=>[3,1,2,4]=>[[1,3,4],[2]]=>1 [1,0,1,1,0,1,0,0]=>[1,3,4,2]=>[3,4,1,2]=>[[1,2],[3,4]]=>2 [1,0,1,1,1,0,0,0]=>[1,4,3,2]=>[4,3,1,2]=>[[1,4],[2],[3]]=>3 [1,1,0,0,1,0,1,0]=>[2,1,3,4]=>[2,1,3,4]=>[[1,3,4],[2]]=>1 [1,1,0,0,1,1,0,0]=>[2,1,4,3]=>[2,4,1,3]=>[[1,2],[3,4]]=>2 [1,1,0,1,0,0,1,0]=>[2,3,1,4]=>[2,3,1,4]=>[[1,2,4],[3]]=>2 [1,1,0,1,0,1,0,0]=>[2,3,4,1]=>[2,3,4,1]=>[[1,2,3],[4]]=>3 [1,1,0,1,1,0,0,0]=>[2,4,3,1]=>[4,2,3,1]=>[[1,3],[2],[4]]=>4 [1,1,1,0,0,0,1,0]=>[3,2,1,4]=>[3,2,1,4]=>[[1,4],[2],[3]]=>3 [1,1,1,0,0,1,0,0]=>[3,2,4,1]=>[3,2,4,1]=>[[1,3],[2],[4]]=>4 [1,1,1,0,1,0,0,0]=>[3,4,2,1]=>[3,4,2,1]=>[[1,2],[3],[4]]=>5 [1,1,1,1,0,0,0,0]=>[4,3,2,1]=>[4,3,2,1]=>[[1],[2],[3],[4]]=>6 [1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[[1,2,3,4,5]]=>0 [1,0,1,0,1,0,1,1,0,0]=>[1,2,3,5,4]=>[5,1,2,3,4]=>[[1,3,4,5],[2]]=>1 [1,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5]=>[4,1,2,3,5]=>[[1,3,4,5],[2]]=>1 [1,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,3]=>[4,5,1,2,3]=>[[1,2,5],[3,4]]=>2 [1,0,1,0,1,1,1,0,0,0]=>[1,2,5,4,3]=>[5,4,1,2,3]=>[[1,4,5],[2],[3]]=>3 [1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,5]=>[3,1,2,4,5]=>[[1,3,4,5],[2]]=>1 [1,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4]=>[3,5,1,2,4]=>[[1,2,5],[3,4]]=>2 [1,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,5]=>[3,4,1,2,5]=>[[1,2,5],[3,4]]=>2 [1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,2]=>[3,4,5,1,2]=>[[1,2,3],[4,5]]=>3 [1,0,1,1,0,1,1,0,0,0]=>[1,3,5,4,2]=>[5,3,4,1,2]=>[[1,3],[2,5],[4]]=>4 [1,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,5]=>[4,3,1,2,5]=>[[1,4,5],[2],[3]]=>3 [1,0,1,1,1,0,0,1,0,0]=>[1,4,3,5,2]=>[4,3,5,1,2]=>[[1,3],[2,5],[4]]=>4 [1,0,1,1,1,0,1,0,0,0]=>[1,4,5,3,2]=>[4,5,3,1,2]=>[[1,2],[3,5],[4]]=>5 [1,0,1,1,1,1,0,0,0,0]=>[1,5,4,3,2]=>[5,4,3,1,2]=>[[1,5],[2],[3],[4]]=>6 [1,1,0,0,1,0,1,0,1,0]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[1,3,4,5],[2]]=>1 [1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4]=>[2,5,1,3,4]=>[[1,2,5],[3,4]]=>2 [1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,5]=>[2,4,1,3,5]=>[[1,2,5],[3,4]]=>2 [1,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3]=>[2,4,5,1,3]=>[[1,2,3],[4,5]]=>3 [1,1,0,0,1,1,1,0,0,0]=>[2,1,5,4,3]=>[5,2,4,1,3]=>[[1,3],[2,5],[4]]=>4 [1,1,0,1,0,0,1,0,1,0]=>[2,3,1,4,5]=>[2,3,1,4,5]=>[[1,2,4,5],[3]]=>2 [1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,4]=>[2,3,5,1,4]=>[[1,2,3],[4,5]]=>3 [1,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,5]=>[2,3,4,1,5]=>[[1,2,3,5],[4]]=>3 [1,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,1]=>[2,3,4,5,1]=>[[1,2,3,4],[5]]=>4 [1,1,0,1,0,1,1,0,0,0]=>[2,3,5,4,1]=>[5,2,3,4,1]=>[[1,3,4],[2],[5]]=>5 [1,1,0,1,1,0,0,0,1,0]=>[2,4,3,1,5]=>[4,2,3,1,5]=>[[1,3,5],[2],[4]]=>4 [1,1,0,1,1,0,0,1,0,0]=>[2,4,3,5,1]=>[4,2,3,5,1]=>[[1,3,4],[2],[5]]=>5 [1,1,0,1,1,0,1,0,0,0]=>[2,4,5,3,1]=>[4,5,2,3,1]=>[[1,2],[3,4],[5]]=>6 [1,1,0,1,1,1,0,0,0,0]=>[2,5,4,3,1]=>[5,4,2,3,1]=>[[1,4],[2],[3],[5]]=>7 [1,1,1,0,0,0,1,0,1,0]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[[1,4,5],[2],[3]]=>3 [1,1,1,0,0,0,1,1,0,0]=>[3,2,1,5,4]=>[3,2,5,1,4]=>[[1,3],[2,5],[4]]=>4 [1,1,1,0,0,1,0,0,1,0]=>[3,2,4,1,5]=>[3,2,4,1,5]=>[[1,3,5],[2],[4]]=>4 [1,1,1,0,0,1,0,1,0,0]=>[3,2,4,5,1]=>[3,2,4,5,1]=>[[1,3,4],[2],[5]]=>5 [1,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,1]=>[3,5,2,4,1]=>[[1,2],[3,4],[5]]=>6 [1,1,1,0,1,0,0,0,1,0]=>[3,4,2,1,5]=>[3,4,2,1,5]=>[[1,2,5],[3],[4]]=>5 [1,1,1,0,1,0,0,1,0,0]=>[3,4,2,5,1]=>[3,4,2,5,1]=>[[1,2,4],[3],[5]]=>6 [1,1,1,0,1,0,1,0,0,0]=>[3,4,5,2,1]=>[3,4,5,2,1]=>[[1,2,3],[4],[5]]=>7 [1,1,1,0,1,1,0,0,0,0]=>[3,5,4,2,1]=>[5,3,4,2,1]=>[[1,3],[2],[4],[5]]=>8 [1,1,1,1,0,0,0,0,1,0]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[[1,5],[2],[3],[4]]=>6 [1,1,1,1,0,0,0,1,0,0]=>[4,3,2,5,1]=>[4,3,2,5,1]=>[[1,4],[2],[3],[5]]=>7 [1,1,1,1,0,0,1,0,0,0]=>[4,3,5,2,1]=>[4,3,5,2,1]=>[[1,3],[2],[4],[5]]=>8 [1,1,1,1,0,1,0,0,0,0]=>[4,5,3,2,1]=>[4,5,3,2,1]=>[[1,2],[3],[4],[5]]=>9 [1,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[1],[2],[3],[4],[5]]=>10 [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[[1,2,3,4,5,6]]=>0 [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,6,5]=>[6,1,2,3,4,5]=>[[1,3,4,5,6],[2]]=>1 [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,5,4,6]=>[5,1,2,3,4,6]=>[[1,3,4,5,6],[2]]=>1 [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,6,4]=>[5,6,1,2,3,4]=>[[1,2,5,6],[3,4]]=>2 [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,6,5,4]=>[6,5,1,2,3,4]=>[[1,4,5,6],[2],[3]]=>3 [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,5,6]=>[4,1,2,3,5,6]=>[[1,3,4,5,6],[2]]=>1 [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5]=>[4,6,1,2,3,5]=>[[1,2,5,6],[3,4]]=>2 [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,4,5,3,6]=>[4,5,1,2,3,6]=>[[1,2,5,6],[3,4]]=>2 [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,5,6,3]=>[4,5,6,1,2,3]=>[[1,2,3],[4,5,6]]=>3 [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,5,3]=>[6,4,5,1,2,3]=>[[1,3,6],[2,5],[4]]=>4 [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,5,4,3,6]=>[5,4,1,2,3,6]=>[[1,4,5,6],[2],[3]]=>3 [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,5,4,6,3]=>[5,4,6,1,2,3]=>[[1,3,6],[2,5],[4]]=>4 [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,5,6,4,3]=>[5,6,4,1,2,3]=>[[1,2,6],[3,5],[4]]=>5 [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,6,5,4,3]=>[6,5,4,1,2,3]=>[[1,5,6],[2],[3],[4]]=>6 [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,4,5,6]=>[3,1,2,4,5,6]=>[[1,3,4,5,6],[2]]=>1 [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,4,6,5]=>[3,6,1,2,4,5]=>[[1,2,5,6],[3,4]]=>2 [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,6]=>[3,5,1,2,4,6]=>[[1,2,5,6],[3,4]]=>2 [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,6,4]=>[3,5,6,1,2,4]=>[[1,2,3],[4,5,6]]=>3 [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,6,5,4]=>[6,3,5,1,2,4]=>[[1,3,6],[2,5],[4]]=>4 [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,4,2,5,6]=>[3,4,1,2,5,6]=>[[1,2,5,6],[3,4]]=>2 [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,4,2,6,5]=>[3,4,6,1,2,5]=>[[1,2,3],[4,5,6]]=>3 [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,2,6]=>[3,4,5,1,2,6]=>[[1,2,3,6],[4,5]]=>3 [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,2]=>[3,4,5,6,1,2]=>[[1,2,3,4],[5,6]]=>4 [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,4,6,5,2]=>[6,3,4,5,1,2]=>[[1,3,4],[2,6],[5]]=>5 [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,4,2,6]=>[5,3,4,1,2,6]=>[[1,3,6],[2,5],[4]]=>4 [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,4,6,2]=>[5,3,4,6,1,2]=>[[1,3,4],[2,6],[5]]=>5 [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,5,6,4,2]=>[5,6,3,4,1,2]=>[[1,2],[3,4],[5,6]]=>6 [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,6,5,4,2]=>[6,5,3,4,1,2]=>[[1,4],[2,6],[3],[5]]=>7 [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,4,3,2,5,6]=>[4,3,1,2,5,6]=>[[1,4,5,6],[2],[3]]=>3 [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,4,3,2,6,5]=>[4,3,6,1,2,5]=>[[1,3,6],[2,5],[4]]=>4 [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,4,3,5,2,6]=>[4,3,5,1,2,6]=>[[1,3,6],[2,5],[4]]=>4 [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,4,3,5,6,2]=>[4,3,5,6,1,2]=>[[1,3,4],[2,6],[5]]=>5 [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,2]=>[4,6,3,5,1,2]=>[[1,2],[3,4],[5,6]]=>6 [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,4,5,3,2,6]=>[4,5,3,1,2,6]=>[[1,2,6],[3,5],[4]]=>5 [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,4,5,3,6,2]=>[4,5,3,6,1,2]=>[[1,2,4],[3,6],[5]]=>6 [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,4,5,6,3,2]=>[4,5,6,3,1,2]=>[[1,2,3],[4,6],[5]]=>7 [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,4,6,5,3,2]=>[6,4,5,3,1,2]=>[[1,3],[2,6],[4],[5]]=>8 [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,5,4,3,2,6]=>[5,4,3,1,2,6]=>[[1,5,6],[2],[3],[4]]=>6 [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,5,4,3,6,2]=>[5,4,3,6,1,2]=>[[1,4],[2,6],[3],[5]]=>7 [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,5,4,6,3,2]=>[5,4,6,3,1,2]=>[[1,3],[2,6],[4],[5]]=>8 [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,5,6,4,3,2]=>[5,6,4,3,1,2]=>[[1,2],[3,6],[4],[5]]=>9 [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,6,5,4,3,2]=>[6,5,4,3,1,2]=>[[1,6],[2],[3],[4],[5]]=>10 [1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[[1,3,4,5,6],[2]]=>1 [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,6,5]=>[2,6,1,3,4,5]=>[[1,2,5,6],[3,4]]=>2 [1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,3,5,4,6]=>[2,5,1,3,4,6]=>[[1,2,5,6],[3,4]]=>2 [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,3,5,6,4]=>[2,5,6,1,3,4]=>[[1,2,3],[4,5,6]]=>3 [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3,6,5,4]=>[6,2,5,1,3,4]=>[[1,3,6],[2,5],[4]]=>4 [1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]=>[2,4,1,3,5,6]=>[[1,2,5,6],[3,4]]=>2 [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5]=>[2,4,6,1,3,5]=>[[1,2,3],[4,5,6]]=>3 [1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]=>[2,4,5,1,3,6]=>[[1,2,3,6],[4,5]]=>3 [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,5,6,3]=>[2,4,5,6,1,3]=>[[1,2,3,4],[5,6]]=>4 [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,5,3]=>[6,2,4,5,1,3]=>[[1,3,4],[2,6],[5]]=>5 [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,4,3,6]=>[5,2,4,1,3,6]=>[[1,3,6],[2,5],[4]]=>4 [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,6,3]=>[5,2,4,6,1,3]=>[[1,3,4],[2,6],[5]]=>5 [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,5,6,4,3]=>[5,6,2,4,1,3]=>[[1,2],[3,4],[5,6]]=>6 [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,5,4,3]=>[6,5,2,4,1,3]=>[[1,4],[2,6],[3],[5]]=>7 [1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,1,4,5,6]=>[2,3,1,4,5,6]=>[[1,2,4,5,6],[3]]=>2 [1,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,1,4,6,5]=>[2,3,6,1,4,5]=>[[1,2,3,6],[4,5]]=>3 [1,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,6]=>[2,3,5,1,4,6]=>[[1,2,3,6],[4,5]]=>3 [1,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,6,4]=>[2,3,5,6,1,4]=>[[1,2,3,4],[5,6]]=>4 [1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,1,6,5,4]=>[6,2,3,5,1,4]=>[[1,3,4],[2,6],[5]]=>5 [1,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,1,5,6]=>[2,3,4,1,5,6]=>[[1,2,3,5,6],[4]]=>3 [1,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,1,6,5]=>[2,3,4,6,1,5]=>[[1,2,3,4],[5,6]]=>4 [1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,1,6]=>[2,3,4,5,1,6]=>[[1,2,3,4,6],[5]]=>4 [1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,1]=>[2,3,4,5,6,1]=>[[1,2,3,4,5],[6]]=>5 [1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,6,5,1]=>[6,2,3,4,5,1]=>[[1,3,4,5],[2],[6]]=>6 [1,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,5,4,1,6]=>[5,2,3,4,1,6]=>[[1,3,4,6],[2],[5]]=>5 [1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,5,4,6,1]=>[5,2,3,4,6,1]=>[[1,3,4,5],[2],[6]]=>6 [1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,5,6,4,1]=>[5,6,2,3,4,1]=>[[1,2,5],[3,4],[6]]=>7 [1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,5,4,1]=>[6,5,2,3,4,1]=>[[1,4,5],[2],[3],[6]]=>8 [1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,3,1,5,6]=>[4,2,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>4 [1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,1,6,5]=>[4,2,3,6,1,5]=>[[1,3,4],[2,6],[5]]=>5 [1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,5,1,6]=>[4,2,3,5,1,6]=>[[1,3,4,6],[2],[5]]=>5 [1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,5,6,1]=>[4,2,3,5,6,1]=>[[1,3,4,5],[2],[6]]=>6 [1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,1]=>[4,6,2,3,5,1]=>[[1,2,5],[3,4],[6]]=>7 [1,1,0,1,1,0,1,0,0,0,1,0]=>[2,4,5,3,1,6]=>[4,5,2,3,1,6]=>[[1,2,6],[3,4],[5]]=>6 [1,1,0,1,1,0,1,0,0,1,0,0]=>[2,4,5,3,6,1]=>[4,5,2,3,6,1]=>[[1,2,5],[3,4],[6]]=>7 [1,1,0,1,1,0,1,0,1,0,0,0]=>[2,4,5,6,3,1]=>[4,5,6,2,3,1]=>[[1,2,3],[4,5],[6]]=>8 [1,1,0,1,1,0,1,1,0,0,0,0]=>[2,4,6,5,3,1]=>[6,4,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>9 [1,1,0,1,1,1,0,0,0,0,1,0]=>[2,5,4,3,1,6]=>[5,4,2,3,1,6]=>[[1,4,6],[2],[3],[5]]=>7 [1,1,0,1,1,1,0,0,0,1,0,0]=>[2,5,4,3,6,1]=>[5,4,2,3,6,1]=>[[1,4,5],[2],[3],[6]]=>8 [1,1,0,1,1,1,0,0,1,0,0,0]=>[2,5,4,6,3,1]=>[5,4,6,2,3,1]=>[[1,3],[2,5],[4],[6]]=>9 [1,1,0,1,1,1,0,1,0,0,0,0]=>[2,5,6,4,3,1]=>[5,6,4,2,3,1]=>[[1,2],[3,5],[4],[6]]=>10 [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6,5,4,3,1]=>[6,5,4,2,3,1]=>[[1,5],[2],[3],[4],[6]]=>11 [1,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[[1,4,5,6],[2],[3]]=>3 [1,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,1,4,6,5]=>[3,2,6,1,4,5]=>[[1,3,6],[2,5],[4]]=>4 [1,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,6]=>[3,2,5,1,4,6]=>[[1,3,6],[2,5],[4]]=>4 [1,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,1,5,6,4]=>[3,2,5,6,1,4]=>[[1,3,4],[2,6],[5]]=>5 [1,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,1,6,5,4]=>[3,6,2,5,1,4]=>[[1,2],[3,4],[5,6]]=>6 [1,1,1,0,0,1,0,0,1,0,1,0]=>[3,2,4,1,5,6]=>[3,2,4,1,5,6]=>[[1,3,5,6],[2],[4]]=>4 [1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,6,5]=>[3,2,4,6,1,5]=>[[1,3,4],[2,6],[5]]=>5 [1,1,1,0,0,1,0,1,0,0,1,0]=>[3,2,4,5,1,6]=>[3,2,4,5,1,6]=>[[1,3,4,6],[2],[5]]=>5 [1,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,1]=>[3,2,4,5,6,1]=>[[1,3,4,5],[2],[6]]=>6 [1,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,4,6,5,1]=>[3,6,2,4,5,1]=>[[1,2,5],[3,4],[6]]=>7 [1,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,1,6]=>[3,5,2,4,1,6]=>[[1,2,6],[3,4],[5]]=>6 [1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,6,1]=>[3,5,2,4,6,1]=>[[1,2,5],[3,4],[6]]=>7 [1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,5,6,4,1]=>[3,5,6,2,4,1]=>[[1,2,3],[4,5],[6]]=>8 [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,6,5,4,1]=>[6,3,5,2,4,1]=>[[1,3],[2,5],[4],[6]]=>9 [1,1,1,0,1,0,0,0,1,0,1,0]=>[3,4,2,1,5,6]=>[3,4,2,1,5,6]=>[[1,2,5,6],[3],[4]]=>5 [1,1,1,0,1,0,0,0,1,1,0,0]=>[3,4,2,1,6,5]=>[3,4,2,6,1,5]=>[[1,2,4],[3,6],[5]]=>6 [1,1,1,0,1,0,0,1,0,0,1,0]=>[3,4,2,5,1,6]=>[3,4,2,5,1,6]=>[[1,2,4,6],[3],[5]]=>6 [1,1,1,0,1,0,0,1,0,1,0,0]=>[3,4,2,5,6,1]=>[3,4,2,5,6,1]=>[[1,2,4,5],[3],[6]]=>7 [1,1,1,0,1,0,0,1,1,0,0,0]=>[3,4,2,6,5,1]=>[3,4,6,2,5,1]=>[[1,2,3],[4,5],[6]]=>8 [1,1,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,2,1,6]=>[3,4,5,2,1,6]=>[[1,2,3,6],[4],[5]]=>7 [1,1,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,2,6,1]=>[3,4,5,2,6,1]=>[[1,2,3,5],[4],[6]]=>8 [1,1,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,2,1]=>[3,4,5,6,2,1]=>[[1,2,3,4],[5],[6]]=>9 [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,6,5,2,1]=>[6,3,4,5,2,1]=>[[1,3,4],[2],[5],[6]]=>10 [1,1,1,0,1,1,0,0,0,0,1,0]=>[3,5,4,2,1,6]=>[5,3,4,2,1,6]=>[[1,3,6],[2],[4],[5]]=>8 [1,1,1,0,1,1,0,0,0,1,0,0]=>[3,5,4,2,6,1]=>[5,3,4,2,6,1]=>[[1,3,5],[2],[4],[6]]=>9 [1,1,1,0,1,1,0,0,1,0,0,0]=>[3,5,4,6,2,1]=>[5,3,4,6,2,1]=>[[1,3,4],[2],[5],[6]]=>10 [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,5,6,4,2,1]=>[5,6,3,4,2,1]=>[[1,2],[3,4],[5],[6]]=>11 [1,1,1,0,1,1,1,0,0,0,0,0]=>[3,6,5,4,2,1]=>[6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>12 [1,1,1,1,0,0,0,0,1,0,1,0]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4]]=>6 [1,1,1,1,0,0,0,0,1,1,0,0]=>[4,3,2,1,6,5]=>[4,3,2,6,1,5]=>[[1,4],[2,6],[3],[5]]=>7 [1,1,1,1,0,0,0,1,0,0,1,0]=>[4,3,2,5,1,6]=>[4,3,2,5,1,6]=>[[1,4,6],[2],[3],[5]]=>7 [1,1,1,1,0,0,0,1,0,1,0,0]=>[4,3,2,5,6,1]=>[4,3,2,5,6,1]=>[[1,4,5],[2],[3],[6]]=>8 [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,3,2,6,5,1]=>[4,3,6,2,5,1]=>[[1,3],[2,5],[4],[6]]=>9 [1,1,1,1,0,0,1,0,0,0,1,0]=>[4,3,5,2,1,6]=>[4,3,5,2,1,6]=>[[1,3,6],[2],[4],[5]]=>8 [1,1,1,1,0,0,1,0,0,1,0,0]=>[4,3,5,2,6,1]=>[4,3,5,2,6,1]=>[[1,3,5],[2],[4],[6]]=>9 [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,3,5,6,2,1]=>[4,3,5,6,2,1]=>[[1,3,4],[2],[5],[6]]=>10 [1,1,1,1,0,0,1,1,0,0,0,0]=>[4,3,6,5,2,1]=>[4,6,3,5,2,1]=>[[1,2],[3,4],[5],[6]]=>11 [1,1,1,1,0,1,0,0,0,0,1,0]=>[4,5,3,2,1,6]=>[4,5,3,2,1,6]=>[[1,2,6],[3],[4],[5]]=>9 [1,1,1,1,0,1,0,0,0,1,0,0]=>[4,5,3,2,6,1]=>[4,5,3,2,6,1]=>[[1,2,5],[3],[4],[6]]=>10 [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,5,3,6,2,1]=>[4,5,3,6,2,1]=>[[1,2,4],[3],[5],[6]]=>11 [1,1,1,1,0,1,0,1,0,0,0,0]=>[4,5,6,3,2,1]=>[4,5,6,3,2,1]=>[[1,2,3],[4],[5],[6]]=>12 [1,1,1,1,0,1,1,0,0,0,0,0]=>[4,6,5,3,2,1]=>[6,4,5,3,2,1]=>[[1,3],[2],[4],[5],[6]]=>13 [1,1,1,1,1,0,0,0,0,0,1,0]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5]]=>10 [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,4,3,2,6,1]=>[5,4,3,2,6,1]=>[[1,5],[2],[3],[4],[6]]=>11 [1,1,1,1,1,0,0,0,1,0,0,0]=>[5,4,3,6,2,1]=>[5,4,3,6,2,1]=>[[1,4],[2],[3],[5],[6]]=>12 [1,1,1,1,1,0,0,1,0,0,0,0]=>[5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[[1,3],[2],[4],[5],[6]]=>13 [1,1,1,1,1,0,1,0,0,0,0,0]=>[5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[[1,2],[3],[4],[5],[6]]=>14 [1,1,1,1,1,1,0,0,0,0,0,0]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6]]=>15 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7]]=>0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,7,6]=>[7,1,2,3,4,5,6]=>[[1,3,4,5,6,7],[2]]=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,7]=>[6,1,2,3,4,5,7]=>[[1,3,4,5,6,7],[2]]=>1 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,6,7,5]=>[6,7,1,2,3,4,5]=>[[1,2,5,6,7],[3,4]]=>2 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,7,6,5]=>[7,6,1,2,3,4,5]=>[[1,4,5,6,7],[2],[3]]=>3 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,5,4,6,7]=>[5,1,2,3,4,6,7]=>[[1,3,4,5,6,7],[2]]=>1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6]=>[5,7,1,2,3,4,6]=>[[1,2,5,6,7],[3,4]]=>2 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,5,6,4,7]=>[5,6,1,2,3,4,7]=>[[1,2,5,6,7],[3,4]]=>2 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,4]=>[5,6,7,1,2,3,4]=>[[1,2,3,7],[4,5,6]]=>3 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,6,4]=>[7,5,6,1,2,3,4]=>[[1,3,6,7],[2,5],[4]]=>4 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,6,5,4,7]=>[6,5,1,2,3,4,7]=>[[1,4,5,6,7],[2],[3]]=>3 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,6,5,7,4]=>[6,5,7,1,2,3,4]=>[[1,3,6,7],[2,5],[4]]=>4 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,6,7,5,4]=>[6,7,5,1,2,3,4]=>[[1,2,6,7],[3,5],[4]]=>5 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[1,5,6,7],[2],[3],[4]]=>6 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7]=>[4,1,2,3,5,6,7]=>[[1,3,4,5,6,7],[2]]=>1 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,4,3,5,7,6]=>[4,7,1,2,3,5,6]=>[[1,2,5,6,7],[3,4]]=>2 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,7]=>[4,6,1,2,3,5,7]=>[[1,2,5,6,7],[3,4]]=>2 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,4,3,6,7,5]=>[4,6,7,1,2,3,5]=>[[1,2,3,7],[4,5,6]]=>3 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,7,6,5]=>[7,4,6,1,2,3,5]=>[[1,3,6,7],[2,5],[4]]=>4 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,3,6,7]=>[4,5,1,2,3,6,7]=>[[1,2,5,6,7],[3,4]]=>2 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,3,7,6]=>[4,5,7,1,2,3,6]=>[[1,2,3,7],[4,5,6]]=>3 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,3,7]=>[4,5,6,1,2,3,7]=>[[1,2,3,7],[4,5,6]]=>3 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,3]=>[4,5,6,7,1,2,3]=>[[1,2,3,4],[5,6,7]]=>4 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,7,6,3]=>[7,4,5,6,1,2,3]=>[[1,3,4],[2,6,7],[5]]=>5 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,4,6,5,3,7]=>[6,4,5,1,2,3,7]=>[[1,3,6,7],[2,5],[4]]=>4 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,4,6,5,7,3]=>[6,4,5,7,1,2,3]=>[[1,3,4],[2,6,7],[5]]=>5 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,4,6,7,5,3]=>[6,7,4,5,1,2,3]=>[[1,2,7],[3,4],[5,6]]=>6 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,4,7,6,5,3]=>[7,6,4,5,1,2,3]=>[[1,4,7],[2,6],[3],[5]]=>7 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,5,4,3,6,7]=>[5,4,1,2,3,6,7]=>[[1,4,5,6,7],[2],[3]]=>3 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,5,4,3,7,6]=>[5,4,7,1,2,3,6]=>[[1,3,6,7],[2,5],[4]]=>4 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,5,4,6,3,7]=>[5,4,6,1,2,3,7]=>[[1,3,6,7],[2,5],[4]]=>4 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,5,4,6,7,3]=>[5,4,6,7,1,2,3]=>[[1,3,4],[2,6,7],[5]]=>5 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,5,4,7,6,3]=>[5,7,4,6,1,2,3]=>[[1,2,7],[3,4],[5,6]]=>6 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,5,6,4,3,7]=>[5,6,4,1,2,3,7]=>[[1,2,6,7],[3,5],[4]]=>5 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,5,6,4,7,3]=>[5,6,4,7,1,2,3]=>[[1,2,4],[3,6,7],[5]]=>6 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,5,6,7,4,3]=>[5,6,7,4,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>7 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,5,7,6,4,3]=>[7,5,6,4,1,2,3]=>[[1,3,7],[2,6],[4],[5]]=>8 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,6,5,4,3,7]=>[6,5,4,1,2,3,7]=>[[1,5,6,7],[2],[3],[4]]=>6 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,6,5,4,7,3]=>[6,5,4,7,1,2,3]=>[[1,4,7],[2,6],[3],[5]]=>7 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,6,5,7,4,3]=>[6,5,7,4,1,2,3]=>[[1,3,7],[2,6],[4],[5]]=>8 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,6,7,5,4,3]=>[6,7,5,4,1,2,3]=>[[1,2,7],[3,6],[4],[5]]=>9 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,7,6,5,4,3]=>[7,6,5,4,1,2,3]=>[[1,6,7],[2],[3],[4],[5]]=>10 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>1 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,7,6]=>[3,7,1,2,4,5,6]=>[[1,2,5,6,7],[3,4]]=>2 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,6,5,7]=>[3,6,1,2,4,5,7]=>[[1,2,5,6,7],[3,4]]=>2 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,6,7,5]=>[3,6,7,1,2,4,5]=>[[1,2,3,7],[4,5,6]]=>3 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,7,6,5]=>[7,3,6,1,2,4,5]=>[[1,3,6,7],[2,5],[4]]=>4 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,4,6,7]=>[3,5,1,2,4,6,7]=>[[1,2,5,6,7],[3,4]]=>2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6]=>[3,5,7,1,2,4,6]=>[[1,2,3,7],[4,5,6]]=>3 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,5,6,4,7]=>[3,5,6,1,2,4,7]=>[[1,2,3,7],[4,5,6]]=>3 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,4]=>[3,5,6,7,1,2,4]=>[[1,2,3,4],[5,6,7]]=>4 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,7,6,4]=>[7,3,5,6,1,2,4]=>[[1,3,4],[2,6,7],[5]]=>5 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,6,5,4,7]=>[6,3,5,1,2,4,7]=>[[1,3,6,7],[2,5],[4]]=>4 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,5,7,4]=>[6,3,5,7,1,2,4]=>[[1,3,4],[2,6,7],[5]]=>5 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,2,6,7,5,4]=>[6,7,3,5,1,2,4]=>[[1,2,7],[3,4],[5,6]]=>6 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,7,6,5,4]=>[7,6,3,5,1,2,4]=>[[1,4,7],[2,6],[3],[5]]=>7 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7]=>[3,4,1,2,5,6,7]=>[[1,2,5,6,7],[3,4]]=>2 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5,7,6]=>[3,4,7,1,2,5,6]=>[[1,2,3,7],[4,5,6]]=>3 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,2,6,5,7]=>[3,4,6,1,2,5,7]=>[[1,2,3,7],[4,5,6]]=>3 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,2,6,7,5]=>[3,4,6,7,1,2,5]=>[[1,2,3,4],[5,6,7]]=>4 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,2,7,6,5]=>[7,3,4,6,1,2,5]=>[[1,3,4],[2,6,7],[5]]=>5 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,2,6,7]=>[3,4,5,1,2,6,7]=>[[1,2,3,6,7],[4,5]]=>3 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6]=>[3,4,5,7,1,2,6]=>[[1,2,3,4],[5,6,7]]=>4 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,2,7]=>[3,4,5,6,1,2,7]=>[[1,2,3,4,7],[5,6]]=>4 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,2]=>[3,4,5,6,7,1,2]=>[[1,2,3,4,5],[6,7]]=>5 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,7,6,2]=>[7,3,4,5,6,1,2]=>[[1,3,4,5],[2,7],[6]]=>6 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,6,5,2,7]=>[6,3,4,5,1,2,7]=>[[1,3,4,7],[2,6],[5]]=>5 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,6,5,7,2]=>[6,3,4,5,7,1,2]=>[[1,3,4,5],[2,7],[6]]=>6 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,6,7,5,2]=>[6,7,3,4,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>7 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,7,6,5,2]=>[7,6,3,4,5,1,2]=>[[1,4,5],[2,7],[3],[6]]=>8 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,5,4,2,6,7]=>[5,3,4,1,2,6,7]=>[[1,3,6,7],[2,5],[4]]=>4 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,4,2,7,6]=>[5,3,4,7,1,2,6]=>[[1,3,4],[2,6,7],[5]]=>5 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,4,6,2,7]=>[5,3,4,6,1,2,7]=>[[1,3,4,7],[2,6],[5]]=>5 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,4,6,7,2]=>[5,3,4,6,7,1,2]=>[[1,3,4,5],[2,7],[6]]=>6 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,4,7,6,2]=>[5,7,3,4,6,1,2]=>[[1,2,5],[3,4],[6,7]]=>7 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,5,6,4,2,7]=>[5,6,3,4,1,2,7]=>[[1,2,7],[3,4],[5,6]]=>6 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,5,6,4,7,2]=>[5,6,3,4,7,1,2]=>[[1,2,5],[3,4],[6,7]]=>7 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,6,7,4,2]=>[5,6,7,3,4,1,2]=>[[1,2,3],[4,5],[6,7]]=>8 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,5,7,6,4,2]=>[7,5,6,3,4,1,2]=>[[1,3],[2,5],[4,7],[6]]=>9 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,6,5,4,2,7]=>[6,5,3,4,1,2,7]=>[[1,4,7],[2,6],[3],[5]]=>7 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,6,5,4,7,2]=>[6,5,3,4,7,1,2]=>[[1,4,5],[2,7],[3],[6]]=>8 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,6,5,7,4,2]=>[6,5,7,3,4,1,2]=>[[1,3],[2,5],[4,7],[6]]=>9 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,6,7,5,4,2]=>[6,7,5,3,4,1,2]=>[[1,2],[3,5],[4,7],[6]]=>10 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,7,6,5,4,2]=>[7,6,5,3,4,1,2]=>[[1,5],[2,7],[3],[4],[6]]=>11 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7]=>[4,3,1,2,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>3 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,4,3,2,5,7,6]=>[4,3,7,1,2,5,6]=>[[1,3,6,7],[2,5],[4]]=>4 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,4,3,2,6,5,7]=>[4,3,6,1,2,5,7]=>[[1,3,6,7],[2,5],[4]]=>4 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,4,3,2,6,7,5]=>[4,3,6,7,1,2,5]=>[[1,3,4],[2,6,7],[5]]=>5 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,3,2,7,6,5]=>[4,7,3,6,1,2,5]=>[[1,2,7],[3,4],[5,6]]=>6 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,3,5,2,6,7]=>[4,3,5,1,2,6,7]=>[[1,3,6,7],[2,5],[4]]=>4 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,3,5,2,7,6]=>[4,3,5,7,1,2,6]=>[[1,3,4],[2,6,7],[5]]=>5 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,3,5,6,2,7]=>[4,3,5,6,1,2,7]=>[[1,3,4,7],[2,6],[5]]=>5 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,2]=>[4,3,5,6,7,1,2]=>[[1,3,4,5],[2,7],[6]]=>6 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,3,5,7,6,2]=>[4,7,3,5,6,1,2]=>[[1,2,5],[3,4],[6,7]]=>7 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,3,6,5,2,7]=>[4,6,3,5,1,2,7]=>[[1,2,7],[3,4],[5,6]]=>6 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,3,6,5,7,2]=>[4,6,3,5,7,1,2]=>[[1,2,5],[3,4],[6,7]]=>7 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,3,6,7,5,2]=>[4,6,7,3,5,1,2]=>[[1,2,3],[4,5],[6,7]]=>8 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,3,7,6,5,2]=>[7,4,6,3,5,1,2]=>[[1,3],[2,5],[4,7],[6]]=>9 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,4,5,3,2,6,7]=>[4,5,3,1,2,6,7]=>[[1,2,6,7],[3,5],[4]]=>5 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,4,5,3,2,7,6]=>[4,5,3,7,1,2,6]=>[[1,2,4],[3,6,7],[5]]=>6 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,4,5,3,6,2,7]=>[4,5,3,6,1,2,7]=>[[1,2,4,7],[3,6],[5]]=>6 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,4,5,3,6,7,2]=>[4,5,3,6,7,1,2]=>[[1,2,4,5],[3,7],[6]]=>7 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,4,5,3,7,6,2]=>[4,5,7,3,6,1,2]=>[[1,2,3],[4,5],[6,7]]=>8 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,3,2,7]=>[4,5,6,3,1,2,7]=>[[1,2,3,7],[4,6],[5]]=>7 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,4,5,6,3,7,2]=>[4,5,6,3,7,1,2]=>[[1,2,3,5],[4,7],[6]]=>8 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,3,2]=>[4,5,6,7,3,1,2]=>[[1,2,3,4],[5,7],[6]]=>9 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,4,5,7,6,3,2]=>[7,4,5,6,3,1,2]=>[[1,3,4],[2,7],[5],[6]]=>10 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,4,6,5,3,2,7]=>[6,4,5,3,1,2,7]=>[[1,3,7],[2,6],[4],[5]]=>8 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,4,6,5,3,7,2]=>[6,4,5,3,7,1,2]=>[[1,3,5],[2,7],[4],[6]]=>9 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,4,6,5,7,3,2]=>[6,4,5,7,3,1,2]=>[[1,3,4],[2,7],[5],[6]]=>10 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,4,6,7,5,3,2]=>[6,7,4,5,3,1,2]=>[[1,2],[3,4],[5,7],[6]]=>11 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,4,7,6,5,3,2]=>[7,6,4,5,3,1,2]=>[[1,4],[2,7],[3],[5],[6]]=>12 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,5,4,3,2,6,7]=>[5,4,3,1,2,6,7]=>[[1,5,6,7],[2],[3],[4]]=>6 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,5,4,3,2,7,6]=>[5,4,3,7,1,2,6]=>[[1,4,7],[2,6],[3],[5]]=>7 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,5,4,3,6,2,7]=>[5,4,3,6,1,2,7]=>[[1,4,7],[2,6],[3],[5]]=>7 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,4,3,6,7,2]=>[5,4,3,6,7,1,2]=>[[1,4,5],[2,7],[3],[6]]=>8 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,4,3,7,6,2]=>[5,4,7,3,6,1,2]=>[[1,3],[2,5],[4,7],[6]]=>9 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,5,4,6,3,2,7]=>[5,4,6,3,1,2,7]=>[[1,3,7],[2,6],[4],[5]]=>8 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,5,4,6,3,7,2]=>[5,4,6,3,7,1,2]=>[[1,3,5],[2,7],[4],[6]]=>9 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,5,4,6,7,3,2]=>[5,4,6,7,3,1,2]=>[[1,3,4],[2,7],[5],[6]]=>10 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,5,4,7,6,3,2]=>[5,7,4,6,3,1,2]=>[[1,2],[3,4],[5,7],[6]]=>11 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,5,6,4,3,2,7]=>[5,6,4,3,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>9 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,5,6,4,3,7,2]=>[5,6,4,3,7,1,2]=>[[1,2,5],[3,7],[4],[6]]=>10 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,5,6,4,7,3,2]=>[5,6,4,7,3,1,2]=>[[1,2,4],[3,7],[5],[6]]=>11 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,4,3,2]=>[5,6,7,4,3,1,2]=>[[1,2,3],[4,7],[5],[6]]=>12 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,5,7,6,4,3,2]=>[7,5,6,4,3,1,2]=>[[1,3],[2,7],[4],[5],[6]]=>13 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,6,5,4,3,2,7]=>[6,5,4,3,1,2,7]=>[[1,6,7],[2],[3],[4],[5]]=>10 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,5,4,3,7,2]=>[6,5,4,3,7,1,2]=>[[1,5],[2,7],[3],[4],[6]]=>11 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,6,5,4,7,3,2]=>[6,5,4,7,3,1,2]=>[[1,4],[2,7],[3],[5],[6]]=>12 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,6,5,7,4,3,2]=>[6,5,7,4,3,1,2]=>[[1,3],[2,7],[4],[5],[6]]=>13 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,6,7,5,4,3,2]=>[6,7,5,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>14 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,7,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>[[1,7],[2],[3],[4],[5],[6]]=>15 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>1 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,7,6]=>[2,7,1,3,4,5,6]=>[[1,2,5,6,7],[3,4]]=>2 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,6,5,7]=>[2,6,1,3,4,5,7]=>[[1,2,5,6,7],[3,4]]=>2 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,6,7,5]=>[2,6,7,1,3,4,5]=>[[1,2,3,7],[4,5,6]]=>3 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,7,6,5]=>[7,2,6,1,3,4,5]=>[[1,3,6,7],[2,5],[4]]=>4 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,5,4,6,7]=>[2,5,1,3,4,6,7]=>[[1,2,5,6,7],[3,4]]=>2 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,5,4,7,6]=>[2,5,7,1,3,4,6]=>[[1,2,3,7],[4,5,6]]=>3 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,6,4,7]=>[2,5,6,1,3,4,7]=>[[1,2,3,7],[4,5,6]]=>3 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,4]=>[2,5,6,7,1,3,4]=>[[1,2,3,4],[5,6,7]]=>4 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,3,5,7,6,4]=>[7,2,5,6,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>5 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,6,5,4,7]=>[6,2,5,1,3,4,7]=>[[1,3,6,7],[2,5],[4]]=>4 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,6,5,7,4]=>[6,2,5,7,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>5 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,6,7,5,4]=>[6,7,2,5,1,3,4]=>[[1,2,7],[3,4],[5,6]]=>6 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,7,6,5,4]=>[7,6,2,5,1,3,4]=>[[1,4,7],[2,6],[3],[5]]=>7 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7]=>[2,4,1,3,5,6,7]=>[[1,2,5,6,7],[3,4]]=>2 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,4,3,5,7,6]=>[2,4,7,1,3,5,6]=>[[1,2,3,7],[4,5,6]]=>3 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,7]=>[2,4,6,1,3,5,7]=>[[1,2,3,7],[4,5,6]]=>3 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,3,6,7,5]=>[2,4,6,7,1,3,5]=>[[1,2,3,4],[5,6,7]]=>4 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,7,6,5]=>[7,2,4,6,1,3,5]=>[[1,3,4],[2,6,7],[5]]=>5 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,3,6,7]=>[2,4,5,1,3,6,7]=>[[1,2,3,6,7],[4,5]]=>3 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,3,7,6]=>[2,4,5,7,1,3,6]=>[[1,2,3,4],[5,6,7]]=>4 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,3,7]=>[2,4,5,6,1,3,7]=>[[1,2,3,4,7],[5,6]]=>4 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,3]=>[2,4,5,6,7,1,3]=>[[1,2,3,4,5],[6,7]]=>5 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,7,6,3]=>[7,2,4,5,6,1,3]=>[[1,3,4,5],[2,7],[6]]=>6 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,6,5,3,7]=>[6,2,4,5,1,3,7]=>[[1,3,4,7],[2,6],[5]]=>5 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,4,6,5,7,3]=>[6,2,4,5,7,1,3]=>[[1,3,4,5],[2,7],[6]]=>6 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,4,6,7,5,3]=>[6,7,2,4,5,1,3]=>[[1,2,5],[3,4],[6,7]]=>7 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,4,7,6,5,3]=>[7,6,2,4,5,1,3]=>[[1,4,5],[2,7],[3],[6]]=>8 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,5,4,3,6,7]=>[5,2,4,1,3,6,7]=>[[1,3,6,7],[2,5],[4]]=>4 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,5,4,3,7,6]=>[5,2,4,7,1,3,6]=>[[1,3,4],[2,6,7],[5]]=>5 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,4,6,3,7]=>[5,2,4,6,1,3,7]=>[[1,3,4,7],[2,6],[5]]=>5 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5,4,6,7,3]=>[5,2,4,6,7,1,3]=>[[1,3,4,5],[2,7],[6]]=>6 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5,4,7,6,3]=>[5,7,2,4,6,1,3]=>[[1,2,5],[3,4],[6,7]]=>7 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,5,6,4,3,7]=>[5,6,2,4,1,3,7]=>[[1,2,7],[3,4],[5,6]]=>6 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,5,6,4,7,3]=>[5,6,2,4,7,1,3]=>[[1,2,5],[3,4],[6,7]]=>7 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,5,6,7,4,3]=>[5,6,7,2,4,1,3]=>[[1,2,3],[4,5],[6,7]]=>8 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,5,7,6,4,3]=>[7,5,6,2,4,1,3]=>[[1,3],[2,5],[4,7],[6]]=>9 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,6,5,4,3,7]=>[6,5,2,4,1,3,7]=>[[1,4,7],[2,6],[3],[5]]=>7 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,6,5,4,7,3]=>[6,5,2,4,7,1,3]=>[[1,4,5],[2,7],[3],[6]]=>8 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,6,5,7,4,3]=>[6,5,7,2,4,1,3]=>[[1,3],[2,5],[4,7],[6]]=>9 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,6,7,5,4,3]=>[6,7,5,2,4,1,3]=>[[1,2],[3,5],[4,7],[6]]=>10 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,7,6,5,4,3]=>[7,6,5,2,4,1,3]=>[[1,5],[2,7],[3],[4],[6]]=>11 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7]=>[2,3,1,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>2 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,7,6]=>[2,3,7,1,4,5,6]=>[[1,2,3,6,7],[4,5]]=>3 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,6,5,7]=>[2,3,6,1,4,5,7]=>[[1,2,3,6,7],[4,5]]=>3 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,6,7,5]=>[2,3,6,7,1,4,5]=>[[1,2,3,4],[5,6,7]]=>4 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,7,6,5]=>[7,2,3,6,1,4,5]=>[[1,3,4,7],[2,6],[5]]=>5 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,1,5,4,6,7]=>[2,3,5,1,4,6,7]=>[[1,2,3,6,7],[4,5]]=>3 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6]=>[2,3,5,7,1,4,6]=>[[1,2,3,4],[5,6,7]]=>4 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,1,5,6,4,7]=>[2,3,5,6,1,4,7]=>[[1,2,3,4,7],[5,6]]=>4 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,4]=>[2,3,5,6,7,1,4]=>[[1,2,3,4,5],[6,7]]=>5 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,1,5,7,6,4]=>[7,2,3,5,6,1,4]=>[[1,3,4,5],[2,7],[6]]=>6 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1,6,5,4,7]=>[6,2,3,5,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>5 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1,6,5,7,4]=>[6,2,3,5,7,1,4]=>[[1,3,4,5],[2,7],[6]]=>6 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,1,6,7,5,4]=>[6,7,2,3,5,1,4]=>[[1,2,5],[3,4],[6,7]]=>7 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,1,7,6,5,4]=>[7,6,2,3,5,1,4]=>[[1,4,5],[2,7],[3],[6]]=>8 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7]=>[2,3,4,1,5,6,7]=>[[1,2,3,5,6,7],[4]]=>3 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,1,5,7,6]=>[2,3,4,7,1,5,6]=>[[1,2,3,4,7],[5,6]]=>4 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,1,6,5,7]=>[2,3,4,6,1,5,7]=>[[1,2,3,4,7],[5,6]]=>4 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,1,6,7,5]=>[2,3,4,6,7,1,5]=>[[1,2,3,4,5],[6,7]]=>5 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,1,7,6,5]=>[7,2,3,4,6,1,5]=>[[1,3,4,5],[2,7],[6]]=>6 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,1,6,7]=>[2,3,4,5,1,6,7]=>[[1,2,3,4,6,7],[5]]=>4 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6]=>[2,3,4,5,7,1,6]=>[[1,2,3,4,5],[6,7]]=>5 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,1,7]=>[2,3,4,5,6,1,7]=>[[1,2,3,4,5,7],[6]]=>5 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,1]=>[2,3,4,5,6,7,1]=>[[1,2,3,4,5,6],[7]]=>6 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,7,6,1]=>[7,2,3,4,5,6,1]=>[[1,3,4,5,6],[2],[7]]=>7 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,6,5,1,7]=>[6,2,3,4,5,1,7]=>[[1,3,4,5,7],[2],[6]]=>6 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,6,5,7,1]=>[6,2,3,4,5,7,1]=>[[1,3,4,5,6],[2],[7]]=>7 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,6,7,5,1]=>[6,7,2,3,4,5,1]=>[[1,2,5,6],[3,4],[7]]=>8 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,7,6,5,1]=>[7,6,2,3,4,5,1]=>[[1,4,5,6],[2],[3],[7]]=>9 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,5,4,1,6,7]=>[5,2,3,4,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>5 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,5,4,1,7,6]=>[5,2,3,4,7,1,6]=>[[1,3,4,5],[2,7],[6]]=>6 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,5,4,6,1,7]=>[5,2,3,4,6,1,7]=>[[1,3,4,5,7],[2],[6]]=>6 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,5,4,6,7,1]=>[5,2,3,4,6,7,1]=>[[1,3,4,5,6],[2],[7]]=>7 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,4,7,6,1]=>[5,7,2,3,4,6,1]=>[[1,2,5,6],[3,4],[7]]=>8 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,5,6,4,1,7]=>[5,6,2,3,4,1,7]=>[[1,2,5,7],[3,4],[6]]=>7 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,5,6,4,7,1]=>[5,6,2,3,4,7,1]=>[[1,2,5,6],[3,4],[7]]=>8 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,4,1]=>[5,6,7,2,3,4,1]=>[[1,2,3],[4,5,6],[7]]=>9 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,5,7,6,4,1]=>[7,5,6,2,3,4,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,6,5,4,1,7]=>[6,5,2,3,4,1,7]=>[[1,4,5,7],[2],[3],[6]]=>8 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,6,5,4,7,1]=>[6,5,2,3,4,7,1]=>[[1,4,5,6],[2],[3],[7]]=>9 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,6,5,7,4,1]=>[6,5,7,2,3,4,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,6,7,5,4,1]=>[6,7,5,2,3,4,1]=>[[1,2,6],[3,5],[4],[7]]=>11 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,7,6,5,4,1]=>[7,6,5,2,3,4,1]=>[[1,5,6],[2],[3],[4],[7]]=>12 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7]=>[4,2,3,1,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>4 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,4,3,1,5,7,6]=>[4,2,3,7,1,5,6]=>[[1,3,4,7],[2,6],[5]]=>5 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,4,3,1,6,5,7]=>[4,2,3,6,1,5,7]=>[[1,3,4,7],[2,6],[5]]=>5 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,3,1,6,7,5]=>[4,2,3,6,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>6 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,3,1,7,6,5]=>[4,7,2,3,6,1,5]=>[[1,2,5],[3,4],[6,7]]=>7 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,4,3,5,1,6,7]=>[4,2,3,5,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>5 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,3,5,1,7,6]=>[4,2,3,5,7,1,6]=>[[1,3,4,5],[2,7],[6]]=>6 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,4,3,5,6,1,7]=>[4,2,3,5,6,1,7]=>[[1,3,4,5,7],[2],[6]]=>6 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,1]=>[4,2,3,5,6,7,1]=>[[1,3,4,5,6],[2],[7]]=>7 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,4,3,5,7,6,1]=>[4,7,2,3,5,6,1]=>[[1,2,5,6],[3,4],[7]]=>8 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,3,6,5,1,7]=>[4,6,2,3,5,1,7]=>[[1,2,5,7],[3,4],[6]]=>7 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,3,6,5,7,1]=>[4,6,2,3,5,7,1]=>[[1,2,5,6],[3,4],[7]]=>8 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,3,6,7,5,1]=>[4,6,7,2,3,5,1]=>[[1,2,3],[4,5,6],[7]]=>9 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,4,3,7,6,5,1]=>[7,4,6,2,3,5,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,4,5,3,1,6,7]=>[4,5,2,3,1,6,7]=>[[1,2,6,7],[3,4],[5]]=>6 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,4,5,3,1,7,6]=>[4,5,2,3,7,1,6]=>[[1,2,5],[3,4,7],[6]]=>7 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,4,5,3,6,1,7]=>[4,5,2,3,6,1,7]=>[[1,2,5,7],[3,4],[6]]=>7 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,4,5,3,6,7,1]=>[4,5,2,3,6,7,1]=>[[1,2,5,6],[3,4],[7]]=>8 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,4,5,3,7,6,1]=>[4,5,7,2,3,6,1]=>[[1,2,3],[4,5,6],[7]]=>9 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,4,5,6,3,1,7]=>[4,5,6,2,3,1,7]=>[[1,2,3,7],[4,5],[6]]=>8 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,3,7,1]=>[4,5,6,2,3,7,1]=>[[1,2,3,6],[4,5],[7]]=>9 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,3,1]=>[4,5,6,7,2,3,1]=>[[1,2,3,4],[5,6],[7]]=>10 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,4,5,7,6,3,1]=>[7,4,5,6,2,3,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,4,6,5,3,1,7]=>[6,4,5,2,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>9 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,4,6,5,3,7,1]=>[6,4,5,2,3,7,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,4,6,5,7,3,1]=>[6,4,5,7,2,3,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,4,6,7,5,3,1]=>[6,7,4,5,2,3,1]=>[[1,2],[3,4],[5,6],[7]]=>12 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,4,7,6,5,3,1]=>[7,6,4,5,2,3,1]=>[[1,4],[2,6],[3],[5],[7]]=>13 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,5,4,3,1,6,7]=>[5,4,2,3,1,6,7]=>[[1,4,6,7],[2],[3],[5]]=>7 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,4,3,1,7,6]=>[5,4,2,3,7,1,6]=>[[1,4,5],[2,7],[3],[6]]=>8 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,5,4,3,6,1,7]=>[5,4,2,3,6,1,7]=>[[1,4,5,7],[2],[3],[6]]=>8 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,5,4,3,6,7,1]=>[5,4,2,3,6,7,1]=>[[1,4,5,6],[2],[3],[7]]=>9 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,5,4,3,7,6,1]=>[5,4,7,2,3,6,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,5,4,6,3,1,7]=>[5,4,6,2,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>9 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,5,4,6,3,7,1]=>[5,4,6,2,3,7,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,5,4,6,7,3,1]=>[5,4,6,7,2,3,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,5,4,7,6,3,1]=>[5,7,4,6,2,3,1]=>[[1,2],[3,4],[5,6],[7]]=>12 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,5,6,4,3,1,7]=>[5,6,4,2,3,1,7]=>[[1,2,7],[3,5],[4],[6]]=>10 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,5,6,4,3,7,1]=>[5,6,4,2,3,7,1]=>[[1,2,6],[3,5],[4],[7]]=>11 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,5,6,4,7,3,1]=>[5,6,4,7,2,3,1]=>[[1,2,4],[3,6],[5],[7]]=>12 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,5,6,7,4,3,1]=>[5,6,7,4,2,3,1]=>[[1,2,3],[4,6],[5],[7]]=>13 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,5,7,6,4,3,1]=>[7,5,6,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>14 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,6,5,4,3,1,7]=>[6,5,4,2,3,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>11 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,6,5,4,3,7,1]=>[6,5,4,2,3,7,1]=>[[1,5,6],[2],[3],[4],[7]]=>12 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,6,5,4,7,3,1]=>[6,5,4,7,2,3,1]=>[[1,4],[2,6],[3],[5],[7]]=>13 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,6,5,7,4,3,1]=>[6,5,7,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>14 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,6,7,5,4,3,1]=>[6,7,5,4,2,3,1]=>[[1,2],[3,6],[4],[5],[7]]=>15 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,7,6,5,4,3,1]=>[7,6,5,4,2,3,1]=>[[1,6],[2],[3],[4],[5],[7]]=>16 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>3 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,7,6]=>[3,2,7,1,4,5,6]=>[[1,3,6,7],[2,5],[4]]=>4 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,2,1,4,6,5,7]=>[3,2,6,1,4,5,7]=>[[1,3,6,7],[2,5],[4]]=>4 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,6,7,5]=>[3,2,6,7,1,4,5]=>[[1,3,4],[2,6,7],[5]]=>5 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,7,6,5]=>[3,7,2,6,1,4,5]=>[[1,2,7],[3,4],[5,6]]=>6 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,2,1,5,4,6,7]=>[3,2,5,1,4,6,7]=>[[1,3,6,7],[2,5],[4]]=>4 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,1,5,4,7,6]=>[3,2,5,7,1,4,6]=>[[1,3,4],[2,6,7],[5]]=>5 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,2,1,5,6,4,7]=>[3,2,5,6,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>5 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,4]=>[3,2,5,6,7,1,4]=>[[1,3,4,5],[2,7],[6]]=>6 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,2,1,5,7,6,4]=>[3,7,2,5,6,1,4]=>[[1,2,5],[3,4],[6,7]]=>7 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,2,1,6,5,4,7]=>[3,6,2,5,1,4,7]=>[[1,2,7],[3,4],[5,6]]=>6 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,2,1,6,5,7,4]=>[3,6,2,5,7,1,4]=>[[1,2,5],[3,4],[6,7]]=>7 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,2,1,6,7,5,4]=>[3,6,7,2,5,1,4]=>[[1,2,3],[4,5],[6,7]]=>8 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,2,1,7,6,5,4]=>[7,3,6,2,5,1,4]=>[[1,3],[2,5],[4,7],[6]]=>9 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7]=>[3,2,4,1,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>4 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,2,4,1,5,7,6]=>[3,2,4,7,1,5,6]=>[[1,3,4,7],[2,6],[5]]=>5 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,2,4,1,6,5,7]=>[3,2,4,6,1,5,7]=>[[1,3,4,7],[2,6],[5]]=>5 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,2,4,1,6,7,5]=>[3,2,4,6,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>6 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,2,4,1,7,6,5]=>[3,7,2,4,6,1,5]=>[[1,2,5],[3,4],[6,7]]=>7 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,2,4,5,1,6,7]=>[3,2,4,5,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>5 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,2,4,5,1,7,6]=>[3,2,4,5,7,1,6]=>[[1,3,4,5],[2,7],[6]]=>6 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,1,7]=>[3,2,4,5,6,1,7]=>[[1,3,4,5,7],[2],[6]]=>6 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,1]=>[3,2,4,5,6,7,1]=>[[1,3,4,5,6],[2],[7]]=>7 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,7,6,1]=>[3,7,2,4,5,6,1]=>[[1,2,5,6],[3,4],[7]]=>8 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,2,4,6,5,1,7]=>[3,6,2,4,5,1,7]=>[[1,2,5,7],[3,4],[6]]=>7 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,6,5,7,1]=>[3,6,2,4,5,7,1]=>[[1,2,5,6],[3,4],[7]]=>8 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,6,7,5,1]=>[3,6,7,2,4,5,1]=>[[1,2,3],[4,5,6],[7]]=>9 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,2,4,7,6,5,1]=>[7,3,6,2,4,5,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,2,5,4,1,6,7]=>[3,5,2,4,1,6,7]=>[[1,2,6,7],[3,4],[5]]=>6 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,2,5,4,1,7,6]=>[3,5,2,4,7,1,6]=>[[1,2,5],[3,4,7],[6]]=>7 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,2,5,4,6,1,7]=>[3,5,2,4,6,1,7]=>[[1,2,5,7],[3,4],[6]]=>7 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,2,5,4,6,7,1]=>[3,5,2,4,6,7,1]=>[[1,2,5,6],[3,4],[7]]=>8 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,7,6,1]=>[3,5,7,2,4,6,1]=>[[1,2,3],[4,5,6],[7]]=>9 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,2,5,6,4,1,7]=>[3,5,6,2,4,1,7]=>[[1,2,3,7],[4,5],[6]]=>8 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,2,5,6,4,7,1]=>[3,5,6,2,4,7,1]=>[[1,2,3,6],[4,5],[7]]=>9 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,2,5,6,7,4,1]=>[3,5,6,7,2,4,1]=>[[1,2,3,4],[5,6],[7]]=>10 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,5,7,6,4,1]=>[7,3,5,6,2,4,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,2,6,5,4,1,7]=>[6,3,5,2,4,1,7]=>[[1,3,7],[2,5],[4],[6]]=>9 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,2,6,5,4,7,1]=>[6,3,5,2,4,7,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,2,6,5,7,4,1]=>[6,3,5,7,2,4,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,2,6,7,5,4,1]=>[6,7,3,5,2,4,1]=>[[1,2],[3,4],[5,6],[7]]=>12 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,2,7,6,5,4,1]=>[7,6,3,5,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>13 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,4,2,1,5,6,7]=>[3,4,2,1,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>5 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,4,2,1,5,7,6]=>[3,4,2,7,1,5,6]=>[[1,2,4,7],[3,6],[5]]=>6 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,4,2,1,6,5,7]=>[3,4,2,6,1,5,7]=>[[1,2,4,7],[3,6],[5]]=>6 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,4,2,1,6,7,5]=>[3,4,2,6,7,1,5]=>[[1,2,4,5],[3,7],[6]]=>7 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,4,2,1,7,6,5]=>[3,4,7,2,6,1,5]=>[[1,2,3],[4,5],[6,7]]=>8 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,4,2,5,1,6,7]=>[3,4,2,5,1,6,7]=>[[1,2,4,6,7],[3],[5]]=>6 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,4,2,5,1,7,6]=>[3,4,2,5,7,1,6]=>[[1,2,4,5],[3,7],[6]]=>7 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,4,2,5,6,1,7]=>[3,4,2,5,6,1,7]=>[[1,2,4,5,7],[3],[6]]=>7 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,4,2,5,6,7,1]=>[3,4,2,5,6,7,1]=>[[1,2,4,5,6],[3],[7]]=>8 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,4,2,5,7,6,1]=>[3,4,7,2,5,6,1]=>[[1,2,3,6],[4,5],[7]]=>9 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,4,2,6,5,1,7]=>[3,4,6,2,5,1,7]=>[[1,2,3,7],[4,5],[6]]=>8 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,4,2,6,5,7,1]=>[3,4,6,2,5,7,1]=>[[1,2,3,6],[4,5],[7]]=>9 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,4,2,6,7,5,1]=>[3,4,6,7,2,5,1]=>[[1,2,3,4],[5,6],[7]]=>10 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,4,2,7,6,5,1]=>[7,3,4,6,2,5,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,4,5,2,1,6,7]=>[3,4,5,2,1,6,7]=>[[1,2,3,6,7],[4],[5]]=>7 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,4,5,2,1,7,6]=>[3,4,5,2,7,1,6]=>[[1,2,3,5],[4,7],[6]]=>8 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,4,5,2,6,1,7]=>[3,4,5,2,6,1,7]=>[[1,2,3,5,7],[4],[6]]=>8 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,4,5,2,6,7,1]=>[3,4,5,2,6,7,1]=>[[1,2,3,5,6],[4],[7]]=>9 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,4,5,2,7,6,1]=>[3,4,5,7,2,6,1]=>[[1,2,3,4],[5,6],[7]]=>10 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,6,2,1,7]=>[3,4,5,6,2,1,7]=>[[1,2,3,4,7],[5],[6]]=>9 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,2,7,1]=>[3,4,5,6,2,7,1]=>[[1,2,3,4,6],[5],[7]]=>10 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,2,1]=>[3,4,5,6,7,2,1]=>[[1,2,3,4,5],[6],[7]]=>11 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,4,5,7,6,2,1]=>[7,3,4,5,6,2,1]=>[[1,3,4,5],[2],[6],[7]]=>12 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,4,6,5,2,1,7]=>[6,3,4,5,2,1,7]=>[[1,3,4,7],[2],[5],[6]]=>10 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,4,6,5,2,7,1]=>[6,3,4,5,2,7,1]=>[[1,3,4,6],[2],[5],[7]]=>11 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,4,6,5,7,2,1]=>[6,3,4,5,7,2,1]=>[[1,3,4,5],[2],[6],[7]]=>12 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,4,6,7,5,2,1]=>[6,7,3,4,5,2,1]=>[[1,2,5],[3,4],[6],[7]]=>13 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,7,6,5,2,1]=>[7,6,3,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>14 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,5,4,2,1,6,7]=>[5,3,4,2,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>8 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,5,4,2,1,7,6]=>[5,3,4,2,7,1,6]=>[[1,3,5],[2,7],[4],[6]]=>9 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,5,4,2,6,1,7]=>[5,3,4,2,6,1,7]=>[[1,3,5,7],[2],[4],[6]]=>9 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,5,4,2,6,7,1]=>[5,3,4,2,6,7,1]=>[[1,3,5,6],[2],[4],[7]]=>10 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,5,4,2,7,6,1]=>[5,3,4,7,2,6,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,5,4,6,2,1,7]=>[5,3,4,6,2,1,7]=>[[1,3,4,7],[2],[5],[6]]=>10 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,5,4,6,2,7,1]=>[5,3,4,6,2,7,1]=>[[1,3,4,6],[2],[5],[7]]=>11 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,5,4,6,7,2,1]=>[5,3,4,6,7,2,1]=>[[1,3,4,5],[2],[6],[7]]=>12 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,5,4,7,6,2,1]=>[5,7,3,4,6,2,1]=>[[1,2,5],[3,4],[6],[7]]=>13 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,5,6,4,2,1,7]=>[5,6,3,4,2,1,7]=>[[1,2,7],[3,4],[5],[6]]=>11 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,5,6,4,2,7,1]=>[5,6,3,4,2,7,1]=>[[1,2,6],[3,4],[5],[7]]=>12 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,5,6,4,7,2,1]=>[5,6,3,4,7,2,1]=>[[1,2,5],[3,4],[6],[7]]=>13 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,5,6,7,4,2,1]=>[5,6,7,3,4,2,1]=>[[1,2,3],[4,5],[6],[7]]=>14 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,5,7,6,4,2,1]=>[7,5,6,3,4,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>15 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,6,5,4,2,1,7]=>[6,5,3,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>12 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,6,5,4,2,7,1]=>[6,5,3,4,2,7,1]=>[[1,4,6],[2],[3],[5],[7]]=>13 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,6,5,4,7,2,1]=>[6,5,3,4,7,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>14 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,6,5,7,4,2,1]=>[6,5,7,3,4,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>15 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,6,7,5,4,2,1]=>[6,7,5,3,4,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>16 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,7,6,5,4,2,1]=>[7,6,5,3,4,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>17 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[[1,5,6,7],[2],[3],[4]]=>6 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,3,2,1,5,7,6]=>[4,3,2,7,1,5,6]=>[[1,4,7],[2,6],[3],[5]]=>7 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,3,2,1,6,5,7]=>[4,3,2,6,1,5,7]=>[[1,4,7],[2,6],[3],[5]]=>7 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,3,2,1,6,7,5]=>[4,3,2,6,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>8 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3,2,1,7,6,5]=>[4,3,7,2,6,1,5]=>[[1,3],[2,5],[4,7],[6]]=>9 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,3,2,5,1,6,7]=>[4,3,2,5,1,6,7]=>[[1,4,6,7],[2],[3],[5]]=>7 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,3,2,5,1,7,6]=>[4,3,2,5,7,1,6]=>[[1,4,5],[2,7],[3],[6]]=>8 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,3,2,5,6,1,7]=>[4,3,2,5,6,1,7]=>[[1,4,5,7],[2],[3],[6]]=>8 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,1]=>[4,3,2,5,6,7,1]=>[[1,4,5,6],[2],[3],[7]]=>9 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,3,2,5,7,6,1]=>[4,3,7,2,5,6,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,3,2,6,5,1,7]=>[4,3,6,2,5,1,7]=>[[1,3,7],[2,5],[4],[6]]=>9 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,3,2,6,5,7,1]=>[4,3,6,2,5,7,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,3,2,6,7,5,1]=>[4,3,6,7,2,5,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3,2,7,6,5,1]=>[4,7,3,6,2,5,1]=>[[1,2],[3,4],[5,6],[7]]=>12 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,3,5,2,1,6,7]=>[4,3,5,2,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>8 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[4,3,5,2,1,7,6]=>[4,3,5,2,7,1,6]=>[[1,3,5],[2,7],[4],[6]]=>9 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,3,5,2,6,1,7]=>[4,3,5,2,6,1,7]=>[[1,3,5,7],[2],[4],[6]]=>9 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[4,3,5,2,6,7,1]=>[4,3,5,2,6,7,1]=>[[1,3,5,6],[2],[4],[7]]=>10 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,3,5,2,7,6,1]=>[4,3,5,7,2,6,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,3,5,6,2,1,7]=>[4,3,5,6,2,1,7]=>[[1,3,4,7],[2],[5],[6]]=>10 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[4,3,5,6,2,7,1]=>[4,3,5,6,2,7,1]=>[[1,3,4,6],[2],[5],[7]]=>11 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[4,3,5,6,7,2,1]=>[4,3,5,6,7,2,1]=>[[1,3,4,5],[2],[6],[7]]=>12 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,3,5,7,6,2,1]=>[4,7,3,5,6,2,1]=>[[1,2,5],[3,4],[6],[7]]=>13 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,3,6,5,2,1,7]=>[4,6,3,5,2,1,7]=>[[1,2,7],[3,4],[5],[6]]=>11 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,3,6,5,2,7,1]=>[4,6,3,5,2,7,1]=>[[1,2,6],[3,4],[5],[7]]=>12 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,3,6,5,7,2,1]=>[4,6,3,5,7,2,1]=>[[1,2,5],[3,4],[6],[7]]=>13 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,3,6,7,5,2,1]=>[4,6,7,3,5,2,1]=>[[1,2,3],[4,5],[6],[7]]=>14 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3,7,6,5,2,1]=>[7,4,6,3,5,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>15 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[4,5,3,2,1,6,7]=>[4,5,3,2,1,6,7]=>[[1,2,6,7],[3],[4],[5]]=>9 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,3,2,1,7,6]=>[4,5,3,2,7,1,6]=>[[1,2,5],[3,7],[4],[6]]=>10 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[4,5,3,2,6,1,7]=>[4,5,3,2,6,1,7]=>[[1,2,5,7],[3],[4],[6]]=>10 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[4,5,3,2,6,7,1]=>[4,5,3,2,6,7,1]=>[[1,2,5,6],[3],[4],[7]]=>11 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,5,3,2,7,6,1]=>[4,5,3,7,2,6,1]=>[[1,2,4],[3,6],[5],[7]]=>12 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,5,3,6,2,1,7]=>[4,5,3,6,2,1,7]=>[[1,2,4,7],[3],[5],[6]]=>11 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[4,5,3,6,2,7,1]=>[4,5,3,6,2,7,1]=>[[1,2,4,6],[3],[5],[7]]=>12 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,5,3,6,7,2,1]=>[4,5,3,6,7,2,1]=>[[1,2,4,5],[3],[6],[7]]=>13 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,3,7,6,2,1]=>[4,5,7,3,6,2,1]=>[[1,2,3],[4,5],[6],[7]]=>14 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,5,6,3,2,1,7]=>[4,5,6,3,2,1,7]=>[[1,2,3,7],[4],[5],[6]]=>12 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[4,5,6,3,2,7,1]=>[4,5,6,3,2,7,1]=>[[1,2,3,6],[4],[5],[7]]=>13 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,5,6,3,7,2,1]=>[4,5,6,3,7,2,1]=>[[1,2,3,5],[4],[6],[7]]=>14 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,3,2,1]=>[4,5,6,7,3,2,1]=>[[1,2,3,4],[5],[6],[7]]=>15 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,7,6,3,2,1]=>[7,4,5,6,3,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>16 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,6,5,3,2,1,7]=>[6,4,5,3,2,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>13 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,6,5,3,2,7,1]=>[6,4,5,3,2,7,1]=>[[1,3,6],[2],[4],[5],[7]]=>14 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,6,5,3,7,2,1]=>[6,4,5,3,7,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>15 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,6,5,7,3,2,1]=>[6,4,5,7,3,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>16 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,6,7,5,3,2,1]=>[6,7,4,5,3,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>17 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,7,6,5,3,2,1]=>[7,6,4,5,3,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>18 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[[1,6,7],[2],[3],[4],[5]]=>10 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,4,3,2,1,7,6]=>[5,4,3,2,7,1,6]=>[[1,5],[2,7],[3],[4],[6]]=>11 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,4,3,2,6,1,7]=>[5,4,3,2,6,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>11 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,4,3,2,6,7,1]=>[5,4,3,2,6,7,1]=>[[1,5,6],[2],[3],[4],[7]]=>12 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,4,3,2,7,6,1]=>[5,4,3,7,2,6,1]=>[[1,4],[2,6],[3],[5],[7]]=>13 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,4,3,6,2,1,7]=>[5,4,3,6,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>12 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,4,3,6,2,7,1]=>[5,4,3,6,2,7,1]=>[[1,4,6],[2],[3],[5],[7]]=>13 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,4,3,6,7,2,1]=>[5,4,3,6,7,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>14 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,4,3,7,6,2,1]=>[5,4,7,3,6,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>15 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,4,6,3,2,1,7]=>[5,4,6,3,2,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>13 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,4,6,3,2,7,1]=>[5,4,6,3,2,7,1]=>[[1,3,6],[2],[4],[5],[7]]=>14 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,4,6,3,7,2,1]=>[5,4,6,3,7,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>15 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,4,6,7,3,2,1]=>[5,4,6,7,3,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>16 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,4,7,6,3,2,1]=>[5,7,4,6,3,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>17 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,6,4,3,2,1,7]=>[5,6,4,3,2,1,7]=>[[1,2,7],[3],[4],[5],[6]]=>14 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,6,4,3,2,7,1]=>[5,6,4,3,2,7,1]=>[[1,2,6],[3],[4],[5],[7]]=>15 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,6,4,3,7,2,1]=>[5,6,4,3,7,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>16 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,6,4,7,3,2,1]=>[5,6,4,7,3,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>17 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,4,3,2,1]=>[5,6,7,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>18 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,7,6,4,3,2,1]=>[7,5,6,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7]]=>19 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[1,7],[2],[3],[4],[5],[6]]=>15 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,5,4,3,2,7,1]=>[6,5,4,3,2,7,1]=>[[1,6],[2],[3],[4],[5],[7]]=>16 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,5,4,3,7,2,1]=>[6,5,4,3,7,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>17 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,5,4,7,3,2,1]=>[6,5,4,7,3,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>18 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,5,7,4,3,2,1]=>[6,5,7,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7]]=>19 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,7,5,4,3,2,1]=>[6,7,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7]]=>20 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>21 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8]]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,8,7]=>[8,1,2,3,4,5,6,7]=>[[1,3,4,5,6,7,8],[2]]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,7,6,8]=>[7,1,2,3,4,5,6,8]=>[[1,3,4,5,6,7,8],[2]]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,7,8,6]=>[7,8,1,2,3,4,5,6]=>[[1,2,5,6,7,8],[3,4]]=>2 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,8,7,6]=>[8,7,1,2,3,4,5,6]=>[[1,4,5,6,7,8],[2],[3]]=>3 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,6,5,7,8]=>[6,1,2,3,4,5,7,8]=>[[1,3,4,5,6,7,8],[2]]=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,6,5,8,7]=>[6,8,1,2,3,4,5,7]=>[[1,2,5,6,7,8],[3,4]]=>2 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,4,6,7,5,8]=>[6,7,1,2,3,4,5,8]=>[[1,2,5,6,7,8],[3,4]]=>2 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,5]=>[6,7,8,1,2,3,4,5]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,6,8,7,5]=>[8,6,7,1,2,3,4,5]=>[[1,3,6,7,8],[2,5],[4]]=>4 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,4,7,6,5,8]=>[7,6,1,2,3,4,5,8]=>[[1,4,5,6,7,8],[2],[3]]=>3 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,7,6,8,5]=>[7,6,8,1,2,3,4,5]=>[[1,3,6,7,8],[2,5],[4]]=>4 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,7,8,6,5]=>[7,8,6,1,2,3,4,5]=>[[1,2,6,7,8],[3,5],[4]]=>5 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,8,7,6,5]=>[8,7,6,1,2,3,4,5]=>[[1,5,6,7,8],[2],[3],[4]]=>6 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8]=>[5,1,2,3,4,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>1 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,3,5,4,6,8,7]=>[5,8,1,2,3,4,6,7]=>[[1,2,5,6,7,8],[3,4]]=>2 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,5,4,7,6,8]=>[5,7,1,2,3,4,6,8]=>[[1,2,5,6,7,8],[3,4]]=>2 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,3,5,4,7,8,6]=>[5,7,8,1,2,3,4,6]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,3,5,4,8,7,6]=>[8,5,7,1,2,3,4,6]=>[[1,3,6,7,8],[2,5],[4]]=>4 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,3,5,6,4,8,7]=>[5,6,8,1,2,3,4,7]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,3,5,6,7,4,8]=>[5,6,7,1,2,3,4,8]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,4]=>[5,6,7,8,1,2,3,4]=>[[1,2,3,4],[5,6,7,8]]=>4 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,3,5,6,8,7,4]=>[8,5,6,7,1,2,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>5 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,3,5,7,6,4,8]=>[7,5,6,1,2,3,4,8]=>[[1,3,6,7,8],[2,5],[4]]=>4 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,3,5,7,6,8,4]=>[7,5,6,8,1,2,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>5 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,3,5,7,8,6,4]=>[7,8,5,6,1,2,3,4]=>[[1,2,7,8],[3,4],[5,6]]=>6 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3,5,8,7,6,4]=>[8,7,5,6,1,2,3,4]=>[[1,4,7,8],[2,6],[3],[5]]=>7 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,3,6,5,4,8,7]=>[6,5,8,1,2,3,4,7]=>[[1,3,6,7,8],[2,5],[4]]=>4 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,3,6,5,7,4,8]=>[6,5,7,1,2,3,4,8]=>[[1,3,6,7,8],[2,5],[4]]=>4 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,6,5,7,8,4]=>[6,5,7,8,1,2,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>5 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,6,5,8,7,4]=>[6,8,5,7,1,2,3,4]=>[[1,2,7,8],[3,4],[5,6]]=>6 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,3,6,7,5,4,8]=>[6,7,5,1,2,3,4,8]=>[[1,2,6,7,8],[3,5],[4]]=>5 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,3,6,7,5,8,4]=>[6,7,5,8,1,2,3,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,3,6,7,8,5,4]=>[6,7,8,5,1,2,3,4]=>[[1,2,3,8],[4,6,7],[5]]=>7 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,3,6,8,7,5,4]=>[8,6,7,5,1,2,3,4]=>[[1,3,7,8],[2,6],[4],[5]]=>8 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,3,7,6,5,4,8]=>[7,6,5,1,2,3,4,8]=>[[1,5,6,7,8],[2],[3],[4]]=>6 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,3,7,6,5,8,4]=>[7,6,5,8,1,2,3,4]=>[[1,4,7,8],[2,6],[3],[5]]=>7 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,3,7,6,8,5,4]=>[7,6,8,5,1,2,3,4]=>[[1,3,7,8],[2,6],[4],[5]]=>8 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,3,7,8,6,5,4]=>[7,8,6,5,1,2,3,4]=>[[1,2,7,8],[3,6],[4],[5]]=>9 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,8,7,6,5,4]=>[8,7,6,5,1,2,3,4]=>[[1,6,7,8],[2],[3],[4],[5]]=>10 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>1 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,2,4,3,5,6,8,7]=>[4,8,1,2,3,5,6,7]=>[[1,2,5,6,7,8],[3,4]]=>2 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5,7,6,8]=>[4,7,1,2,3,5,6,8]=>[[1,2,5,6,7,8],[3,4]]=>2 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,2,4,3,5,7,8,6]=>[4,7,8,1,2,3,5,6]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,2,4,3,5,8,7,6]=>[8,4,7,1,2,3,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>4 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,6,5,7,8]=>[4,6,1,2,3,5,7,8]=>[[1,2,5,6,7,8],[3,4]]=>2 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5,8,7]=>[4,6,8,1,2,3,5,7]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,2,4,3,6,7,5,8]=>[4,6,7,1,2,3,5,8]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,2,4,3,6,7,8,5]=>[4,6,7,8,1,2,3,5]=>[[1,2,3,4],[5,6,7,8]]=>4 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,2,4,3,6,8,7,5]=>[8,4,6,7,1,2,3,5]=>[[1,3,4,8],[2,6,7],[5]]=>5 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,2,4,3,7,6,5,8]=>[7,4,6,1,2,3,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>4 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,4,3,7,6,8,5]=>[7,4,6,8,1,2,3,5]=>[[1,3,4,8],[2,6,7],[5]]=>5 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,2,4,3,7,8,6,5]=>[7,8,4,6,1,2,3,5]=>[[1,2,7,8],[3,4],[5,6]]=>6 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4,3,8,7,6,5]=>[8,7,4,6,1,2,3,5]=>[[1,4,7,8],[2,6],[3],[5]]=>7 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,2,4,5,3,6,7,8]=>[4,5,1,2,3,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>2 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,2,4,5,3,6,8,7]=>[4,5,8,1,2,3,6,7]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,2,4,5,3,7,8,6]=>[4,5,7,8,1,2,3,6]=>[[1,2,3,4],[5,6,7,8]]=>4 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,6,3,7,8]=>[4,5,6,1,2,3,7,8]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,6,3,8,7]=>[4,5,6,8,1,2,3,7]=>[[1,2,3,4],[5,6,7,8]]=>4 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,7,3,8]=>[4,5,6,7,1,2,3,8]=>[[1,2,3,4,8],[5,6,7]]=>4 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,3]=>[4,5,6,7,8,1,2,3]=>[[1,2,3,4,5],[6,7,8]]=>5 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,6,8,7,3]=>[8,4,5,6,7,1,2,3]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,2,4,5,7,6,3,8]=>[7,4,5,6,1,2,3,8]=>[[1,3,4,8],[2,6,7],[5]]=>5 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,4,5,7,8,6,3]=>[7,8,4,5,6,1,2,3]=>[[1,2,5],[3,4,8],[6,7]]=>7 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,4,5,8,7,6,3]=>[8,7,4,5,6,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>8 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,2,4,6,5,3,8,7]=>[6,4,5,8,1,2,3,7]=>[[1,3,4,8],[2,6,7],[5]]=>5 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,2,4,6,5,8,7,3]=>[6,8,4,5,7,1,2,3]=>[[1,2,5],[3,4,8],[6,7]]=>7 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,2,4,6,7,5,8,3]=>[6,7,4,5,8,1,2,3]=>[[1,2,5],[3,4,8],[6,7]]=>7 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,2,4,6,7,8,5,3]=>[6,7,8,4,5,1,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>8 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,2,4,6,8,7,5,3]=>[8,6,7,4,5,1,2,3]=>[[1,3,8],[2,5],[4,7],[6]]=>9 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4,8,7,6,5,3]=>[8,7,6,4,5,1,2,3]=>[[1,5,8],[2,7],[3],[4],[6]]=>11 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,2,5,4,3,6,7,8]=>[5,4,1,2,3,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>3 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,2,5,4,3,6,8,7]=>[5,4,8,1,2,3,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>4 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,2,5,4,3,7,6,8]=>[5,4,7,1,2,3,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>4 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,2,5,4,3,7,8,6]=>[5,4,7,8,1,2,3,6]=>[[1,3,4,8],[2,6,7],[5]]=>5 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,2,5,4,6,7,8,3]=>[5,4,6,7,8,1,2,3]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,2,5,4,7,6,8,3]=>[5,7,4,6,8,1,2,3]=>[[1,2,5],[3,4,8],[6,7]]=>7 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,2,5,6,4,7,8,3]=>[5,6,4,7,8,1,2,3]=>[[1,2,4,5],[3,7,8],[6]]=>7 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,2,5,6,7,4,3,8]=>[5,6,7,4,1,2,3,8]=>[[1,2,3,8],[4,6,7],[5]]=>7 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,2,5,6,7,4,8,3]=>[5,6,7,4,8,1,2,3]=>[[1,2,3,5],[4,7,8],[6]]=>8 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,5,6,7,8,4,3]=>[5,6,7,8,4,1,2,3]=>[[1,2,3,4],[5,7,8],[6]]=>9 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,2,5,6,8,7,4,3]=>[8,5,6,7,4,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>10 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,2,5,7,6,8,4,3]=>[7,5,6,8,4,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>10 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,2,5,7,8,6,4,3]=>[7,8,5,6,4,1,2,3]=>[[1,2,8],[3,4],[5,7],[6]]=>11 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,2,6,5,4,3,7,8]=>[6,5,4,1,2,3,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>6 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,2,6,5,4,7,8,3]=>[6,5,4,7,8,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>8 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,2,6,5,7,4,8,3]=>[6,5,7,4,8,1,2,3]=>[[1,3,5],[2,7,8],[4],[6]]=>9 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,2,6,5,7,8,4,3]=>[6,5,7,8,4,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>10 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,6,5,8,7,4,3]=>[6,8,5,7,4,1,2,3]=>[[1,2,8],[3,4],[5,7],[6]]=>11 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,2,6,7,5,4,8,3]=>[6,7,5,4,8,1,2,3]=>[[1,2,5],[3,7,8],[4],[6]]=>10 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,2,6,7,5,8,4,3]=>[6,7,5,8,4,1,2,3]=>[[1,2,4],[3,7,8],[5],[6]]=>11 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,2,6,7,8,5,4,3]=>[6,7,8,5,4,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>12 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,7,6,5,4,3,8]=>[7,6,5,4,1,2,3,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>10 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,7,6,5,4,8,3]=>[7,6,5,4,8,1,2,3]=>[[1,5,8],[2,7],[3],[4],[6]]=>11 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,7,6,5,8,4,3]=>[7,6,5,8,4,1,2,3]=>[[1,4,8],[2,7],[3],[5],[6]]=>12 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,7,6,8,5,4,3]=>[7,6,8,5,4,1,2,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>13 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,7,8,6,5,4,3]=>[7,8,6,5,4,1,2,3]=>[[1,2,8],[3,7],[4],[5],[6]]=>14 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,8,7,6,5,4,3]=>[8,7,6,5,4,1,2,3]=>[[1,7,8],[2],[3],[4],[5],[6]]=>15 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>1 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,6,8,7]=>[3,8,1,2,4,5,6,7]=>[[1,2,5,6,7,8],[3,4]]=>2 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,5,7,6,8]=>[3,7,1,2,4,5,6,8]=>[[1,2,5,6,7,8],[3,4]]=>2 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,5,7,8,6]=>[3,7,8,1,2,4,5,6]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,5,8,7,6]=>[8,3,7,1,2,4,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>4 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,6,5,7,8]=>[3,6,1,2,4,5,7,8]=>[[1,2,5,6,7,8],[3,4]]=>2 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,3,2,4,6,5,8,7]=>[3,6,8,1,2,4,5,7]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,3,2,4,6,7,5,8]=>[3,6,7,1,2,4,5,8]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,3,2,4,6,7,8,5]=>[3,6,7,8,1,2,4,5]=>[[1,2,3,4],[5,6,7,8]]=>4 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,3,2,4,7,6,5,8]=>[7,3,6,1,2,4,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>4 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,3,2,4,8,7,6,5]=>[8,7,3,6,1,2,4,5]=>[[1,4,7,8],[2,6],[3],[5]]=>7 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,5,4,6,7,8]=>[3,5,1,2,4,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,8]=>[3,5,7,1,2,4,6,8]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,8,6]=>[3,5,7,8,1,2,4,6]=>[[1,2,3,4],[5,6,7,8]]=>4 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,5,4,8,7,6]=>[8,3,5,7,1,2,4,6]=>[[1,3,4,8],[2,6,7],[5]]=>5 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,2,5,6,4,7,8]=>[3,5,6,1,2,4,7,8]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,2,5,6,4,8,7]=>[3,5,6,8,1,2,4,7]=>[[1,2,3,4],[5,6,7,8]]=>4 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,2,5,6,7,4,8]=>[3,5,6,7,1,2,4,8]=>[[1,2,3,4,8],[5,6,7]]=>4 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,8,4]=>[3,5,6,7,8,1,2,4]=>[[1,2,3,4,5],[6,7,8]]=>5 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,2,5,6,8,7,4]=>[8,3,5,6,7,1,2,4]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,7,6,8,4]=>[7,3,5,6,8,1,2,4]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,2,5,7,8,6,4]=>[7,8,3,5,6,1,2,4]=>[[1,2,5],[3,4,8],[6,7]]=>7 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,3,2,6,5,4,7,8]=>[6,3,5,1,2,4,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>4 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,3,2,6,5,4,8,7]=>[6,3,5,8,1,2,4,7]=>[[1,3,4,8],[2,6,7],[5]]=>5 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,3,2,6,5,7,4,8]=>[6,3,5,7,1,2,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>5 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,3,2,6,7,5,8,4]=>[6,7,3,5,8,1,2,4]=>[[1,2,5],[3,4,8],[6,7]]=>7 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,3,2,6,7,8,5,4]=>[6,7,8,3,5,1,2,4]=>[[1,2,3],[4,5,8],[6,7]]=>8 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,3,2,6,8,7,5,4]=>[8,6,7,3,5,1,2,4]=>[[1,3,8],[2,5],[4,7],[6]]=>9 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,3,2,7,6,5,4,8]=>[7,6,3,5,1,2,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>7 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,3,2,7,6,5,8,4]=>[7,6,3,5,8,1,2,4]=>[[1,4,5],[2,7,8],[3],[6]]=>8 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,3,2,7,6,8,5,4]=>[7,6,8,3,5,1,2,4]=>[[1,3,8],[2,5],[4,7],[6]]=>9 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,3,2,7,8,6,5,4]=>[7,8,6,3,5,1,2,4]=>[[1,2,8],[3,5],[4,7],[6]]=>10 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,3,2,8,7,6,5,4]=>[8,7,6,3,5,1,2,4]=>[[1,5,8],[2,7],[3],[4],[6]]=>11 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8]=>[3,4,1,2,5,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>2 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,4,2,5,6,8,7]=>[3,4,8,1,2,5,6,7]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,4,2,5,7,8,6]=>[3,4,7,8,1,2,5,6]=>[[1,2,3,4],[5,6,7,8]]=>4 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,4,2,6,5,8,7]=>[3,4,6,8,1,2,5,7]=>[[1,2,3,4],[5,6,7,8]]=>4 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,6,7,5,8]=>[3,4,6,7,1,2,5,8]=>[[1,2,3,4,8],[5,6,7]]=>4 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,4,2,6,7,8,5]=>[3,4,6,7,8,1,2,5]=>[[1,2,3,4,5],[6,7,8]]=>5 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,4,2,7,6,8,5]=>[7,3,4,6,8,1,2,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,4,2,8,7,6,5]=>[8,7,3,4,6,1,2,5]=>[[1,4,5],[2,7,8],[3],[6]]=>8 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,5,2,6,7,8]=>[3,4,5,1,2,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>3 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,5,2,6,8,7]=>[3,4,5,8,1,2,6,7]=>[[1,2,3,4,8],[5,6,7]]=>4 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,5,2,7,6,8]=>[3,4,5,7,1,2,6,8]=>[[1,2,3,4,8],[5,6,7]]=>4 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,5,2,7,8,6]=>[3,4,5,7,8,1,2,6]=>[[1,2,3,4,5],[6,7,8]]=>5 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,5,2,8,7,6]=>[8,3,4,5,7,1,2,6]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,6,2,7,8]=>[3,4,5,6,1,2,7,8]=>[[1,2,3,4,7,8],[5,6]]=>4 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,6,2,8,7]=>[3,4,5,6,8,1,2,7]=>[[1,2,3,4,5],[6,7,8]]=>5 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,2,8]=>[3,4,5,6,7,1,2,8]=>[[1,2,3,4,5,8],[6,7]]=>5 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,2]=>[3,4,5,6,7,8,1,2]=>[[1,2,3,4,5,6],[7,8]]=>6 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,6,8,7,2]=>[8,3,4,5,6,7,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>7 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,5,7,6,8,2]=>[7,3,4,5,6,8,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>7 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,5,7,8,6,2]=>[7,8,3,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>8 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,8,7,6,2]=>[8,7,3,4,5,6,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>9 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,4,6,5,2,8,7]=>[6,3,4,5,8,1,2,7]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,4,6,5,7,2,8]=>[6,3,4,5,7,1,2,8]=>[[1,3,4,5,8],[2,7],[6]]=>6 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,4,6,5,7,8,2]=>[6,3,4,5,7,8,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>7 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,4,6,5,8,7,2]=>[6,8,3,4,5,7,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>8 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,4,6,7,5,2,8]=>[6,7,3,4,5,1,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>7 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,4,6,8,7,5,2]=>[8,6,7,3,4,5,1,2]=>[[1,3,6],[2,5],[4,8],[7]]=>10 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,4,7,6,5,8,2]=>[7,6,3,4,5,8,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>9 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,4,8,7,6,5,2]=>[8,7,6,3,4,5,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>12 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,3,5,4,2,6,7,8]=>[5,3,4,1,2,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>4 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,5,4,6,7,8,2]=>[5,3,4,6,7,8,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>7 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,3,5,6,4,2,7,8]=>[5,6,3,4,1,2,7,8]=>[[1,2,7,8],[3,4],[5,6]]=>6 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,3,5,6,4,7,2,8]=>[5,6,3,4,7,1,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>7 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,3,5,6,4,7,8,2]=>[5,6,3,4,7,8,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>8 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,5,6,7,8,4,2]=>[5,6,7,8,3,4,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>10 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,3,5,6,8,7,4,2]=>[8,5,6,7,3,4,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>11 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,5,7,6,8,4,2]=>[7,5,6,8,3,4,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>11 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,5,7,8,6,4,2]=>[7,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>12 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,5,8,7,6,4,2]=>[8,7,5,6,3,4,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>13 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,3,6,5,7,8,4,2]=>[6,5,7,8,3,4,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>11 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,3,6,5,8,7,4,2]=>[6,8,5,7,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>12 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,3,6,7,5,8,4,2]=>[6,7,5,8,3,4,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>12 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,3,6,7,8,5,4,2]=>[6,7,8,5,3,4,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>13 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,3,7,6,5,4,2,8]=>[7,6,5,3,4,1,2,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>11 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,3,7,6,5,8,4,2]=>[7,6,5,8,3,4,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>13 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,3,7,6,8,5,4,2]=>[7,6,8,5,3,4,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>14 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,3,7,8,6,5,4,2]=>[7,8,6,5,3,4,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>15 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,8,7,6,5,4,2]=>[8,7,6,5,3,4,1,2]=>[[1,6],[2,8],[3],[4],[5],[7]]=>16 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7,8]=>[4,3,1,2,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>3 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,4,3,2,5,7,8,6]=>[4,3,7,8,1,2,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>5 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,4,3,2,5,8,7,6]=>[4,8,3,7,1,2,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>6 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,4,3,2,6,7,8,5]=>[4,3,6,7,8,1,2,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,7,6,5,8]=>[4,7,3,6,1,2,5,8]=>[[1,2,7,8],[3,4],[5,6]]=>6 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,4,3,2,7,6,8,5]=>[4,7,3,6,8,1,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>7 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,4,3,2,8,7,6,5]=>[8,4,7,3,6,1,2,5]=>[[1,3,8],[2,5],[4,7],[6]]=>9 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,4,3,5,2,6,7,8]=>[4,3,5,1,2,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>4 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,4,3,5,2,6,8,7]=>[4,3,5,8,1,2,6,7]=>[[1,3,4,8],[2,6,7],[5]]=>5 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,4,3,5,2,8,7,6]=>[4,8,3,5,7,1,2,6]=>[[1,2,5],[3,4,8],[6,7]]=>7 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,4,3,5,6,2,7,8]=>[4,3,5,6,1,2,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>5 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,4,3,5,6,7,2,8]=>[4,3,5,6,7,1,2,8]=>[[1,3,4,5,8],[2,7],[6]]=>6 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,8,2]=>[4,3,5,6,7,8,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>7 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,4,3,5,6,8,7,2]=>[4,8,3,5,6,7,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>8 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,4,3,5,7,8,6,2]=>[4,7,8,3,5,6,1,2]=>[[1,2,3],[4,5,6],[7,8]]=>9 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,4,3,6,5,2,7,8]=>[4,6,3,5,1,2,7,8]=>[[1,2,7,8],[3,4],[5,6]]=>6 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,4,3,6,5,7,2,8]=>[4,6,3,5,7,1,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>7 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,8,7,2]=>[4,6,8,3,5,7,1,2]=>[[1,2,3],[4,5,6],[7,8]]=>9 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,4,3,6,7,5,8,2]=>[4,6,7,3,5,8,1,2]=>[[1,2,3,6],[4,5],[7,8]]=>9 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,3,6,7,8,5,2]=>[4,6,7,8,3,5,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>10 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,4,3,7,6,8,5,2]=>[7,4,6,8,3,5,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>11 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,3,7,8,6,5,2]=>[7,8,4,6,3,5,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>12 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,3,8,7,6,5,2]=>[8,7,4,6,3,5,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>13 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,4,5,3,2,7,6,8]=>[4,5,3,7,1,2,6,8]=>[[1,2,4,8],[3,6,7],[5]]=>6 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,4,5,3,2,7,8,6]=>[4,5,3,7,8,1,2,6]=>[[1,2,4,5],[3,7,8],[6]]=>7 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,4,5,3,2,8,7,6]=>[4,5,8,3,7,1,2,6]=>[[1,2,3],[4,5,8],[6,7]]=>8 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,4,5,3,6,7,8,2]=>[4,5,3,6,7,8,1,2]=>[[1,2,4,5,6],[3,8],[7]]=>8 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,4,5,3,6,8,7,2]=>[4,5,8,3,6,7,1,2]=>[[1,2,3,6],[4,5],[7,8]]=>9 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,4,5,3,8,7,6,2]=>[8,4,5,7,3,6,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>11 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,4,5,6,3,7,8,2]=>[4,5,6,3,7,8,1,2]=>[[1,2,3,5,6],[4,8],[7]]=>9 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,7,3,2,8]=>[4,5,6,7,3,1,2,8]=>[[1,2,3,4,8],[5,7],[6]]=>9 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,4,5,6,7,3,8,2]=>[4,5,6,7,3,8,1,2]=>[[1,2,3,4,6],[5,8],[7]]=>10 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,8,3,2]=>[4,5,6,7,8,3,1,2]=>[[1,2,3,4,5],[6,8],[7]]=>11 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,4,6,5,3,2,7,8]=>[6,4,5,3,1,2,7,8]=>[[1,3,7,8],[2,6],[4],[5]]=>8 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,4,6,5,3,7,2,8]=>[6,4,5,3,7,1,2,8]=>[[1,3,5,8],[2,7],[4],[6]]=>9 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,4,6,5,3,8,7,2]=>[6,4,5,8,3,7,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>11 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,4,6,7,5,3,8,2]=>[6,7,4,5,3,8,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>12 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,4,6,7,5,8,3,2]=>[6,7,4,5,8,3,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>13 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,4,6,7,8,5,3,2]=>[6,7,8,4,5,3,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>14 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,4,6,8,7,5,3,2]=>[8,6,7,4,5,3,1,2]=>[[1,3],[2,5],[4,8],[6],[7]]=>15 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,4,7,6,5,3,2,8]=>[7,6,4,5,3,1,2,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>12 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,4,7,6,5,8,3,2]=>[7,6,4,5,8,3,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>14 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,4,7,8,6,5,3,2]=>[7,8,6,4,5,3,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>16 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,4,8,7,6,5,3,2]=>[8,7,6,4,5,3,1,2]=>[[1,5],[2,8],[3],[4],[6],[7]]=>17 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,5,4,3,2,6,7,8]=>[5,4,3,1,2,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>6 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,5,4,3,2,6,8,7]=>[5,4,3,8,1,2,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>7 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,5,4,3,2,7,6,8]=>[5,4,3,7,1,2,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>7 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,5,4,3,2,7,8,6]=>[5,4,3,7,8,1,2,6]=>[[1,4,5],[2,7,8],[3],[6]]=>8 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,5,4,3,2,8,7,6]=>[5,4,8,3,7,1,2,6]=>[[1,3,8],[2,5],[4,7],[6]]=>9 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,5,4,3,6,2,7,8]=>[5,4,3,6,1,2,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>7 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,5,4,3,6,7,8,2]=>[5,4,3,6,7,8,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>9 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,5,4,3,6,8,7,2]=>[5,4,8,3,6,7,1,2]=>[[1,3,6],[2,5],[4,8],[7]]=>10 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,5,4,3,7,6,8,2]=>[5,4,7,3,6,8,1,2]=>[[1,3,6],[2,5],[4,8],[7]]=>10 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,5,4,3,7,8,6,2]=>[5,4,7,8,3,6,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>11 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,5,4,3,8,7,6,2]=>[5,8,4,7,3,6,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>12 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,5,4,6,3,2,7,8]=>[5,4,6,3,1,2,7,8]=>[[1,3,7,8],[2,6],[4],[5]]=>8 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,5,4,6,3,7,8,2]=>[5,4,6,3,7,8,1,2]=>[[1,3,5,6],[2,8],[4],[7]]=>10 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,5,4,6,7,3,2,8]=>[5,4,6,7,3,1,2,8]=>[[1,3,4,8],[2,7],[5],[6]]=>10 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,5,4,6,7,8,3,2]=>[5,4,6,7,8,3,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>12 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,5,4,7,6,3,8,2]=>[5,7,4,6,3,8,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>12 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,5,6,4,3,8,7,2]=>[5,6,4,8,3,7,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>12 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,5,6,4,7,3,8,2]=>[5,6,4,7,3,8,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>12 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,5,6,4,7,8,3,2]=>[5,6,4,7,8,3,1,2]=>[[1,2,4,5],[3,8],[6],[7]]=>13 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,5,6,7,4,3,8,2]=>[5,6,7,4,3,8,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>13 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,8,4,3,2]=>[5,6,7,8,4,3,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>15 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,5,7,6,4,3,2,8]=>[7,5,6,4,3,1,2,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>13 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,5,7,6,4,3,8,2]=>[7,5,6,4,3,8,1,2]=>[[1,3,6],[2,8],[4],[5],[7]]=>14 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,5,7,6,8,4,3,2]=>[7,5,6,8,4,3,1,2]=>[[1,3,4],[2,8],[5],[6],[7]]=>16 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,5,7,8,6,4,3,2]=>[7,8,5,6,4,3,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>17 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,5,8,7,6,4,3,2]=>[8,7,5,6,4,3,1,2]=>[[1,4],[2,8],[3],[5],[6],[7]]=>18 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,6,5,4,3,2,7,8]=>[6,5,4,3,1,2,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>10 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,6,5,4,3,2,8,7]=>[6,5,4,3,8,1,2,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>11 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,6,5,4,3,7,2,8]=>[6,5,4,3,7,1,2,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>11 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,6,5,4,3,7,8,2]=>[6,5,4,3,7,8,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>12 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,6,5,4,3,8,7,2]=>[6,5,4,8,3,7,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>13 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,6,5,4,7,3,8,2]=>[6,5,4,7,3,8,1,2]=>[[1,4,6],[2,8],[3],[5],[7]]=>13 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,6,5,4,7,8,3,2]=>[6,5,4,7,8,3,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>14 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,6,5,7,4,8,3,2]=>[6,5,7,4,8,3,1,2]=>[[1,3,5],[2,8],[4],[6],[7]]=>15 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,6,5,7,8,4,3,2]=>[6,5,7,8,4,3,1,2]=>[[1,3,4],[2,8],[5],[6],[7]]=>16 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,6,7,5,4,3,2,8]=>[6,7,5,4,3,1,2,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>14 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,6,7,5,8,4,3,2]=>[6,7,5,8,4,3,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>17 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,6,7,8,5,4,3,2]=>[6,7,8,5,4,3,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>18 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,6,8,7,5,4,3,2]=>[8,6,7,5,4,3,1,2]=>[[1,3],[2,8],[4],[5],[6],[7]]=>19 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,7,6,5,4,3,2,8]=>[7,6,5,4,3,1,2,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>15 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,7,6,5,4,3,8,2]=>[7,6,5,4,3,8,1,2]=>[[1,6],[2,8],[3],[4],[5],[7]]=>16 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,7,6,5,4,8,3,2]=>[7,6,5,4,8,3,1,2]=>[[1,5],[2,8],[3],[4],[6],[7]]=>17 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,7,6,5,8,4,3,2]=>[7,6,5,8,4,3,1,2]=>[[1,4],[2,8],[3],[5],[6],[7]]=>18 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,7,6,8,5,4,3,2]=>[7,6,8,5,4,3,1,2]=>[[1,3],[2,8],[4],[5],[6],[7]]=>19 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,7,8,6,5,4,3,2]=>[7,8,6,5,4,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>20 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,8,7,6,5,4,3,2]=>[8,7,6,5,4,3,1,2]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>21 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,8,7]=>[2,8,1,3,4,5,6,7]=>[[1,2,5,6,7,8],[3,4]]=>2 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,5,7,6,8]=>[2,7,1,3,4,5,6,8]=>[[1,2,5,6,7,8],[3,4]]=>2 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,5,7,8,6]=>[2,7,8,1,3,4,5,6]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,4,6,5,7,8]=>[2,6,1,3,4,5,7,8]=>[[1,2,5,6,7,8],[3,4]]=>2 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,4,6,5,8,7]=>[2,6,8,1,3,4,5,7]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,4,6,7,5,8]=>[2,6,7,1,3,4,5,8]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,4,6,7,8,5]=>[2,6,7,8,1,3,4,5]=>[[1,2,3,4],[5,6,7,8]]=>4 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,3,4,6,8,7,5]=>[8,2,6,7,1,3,4,5]=>[[1,3,4,8],[2,6,7],[5]]=>5 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,4,8,7,6,5]=>[8,7,2,6,1,3,4,5]=>[[1,4,7,8],[2,6],[3],[5]]=>7 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,3,5,4,6,7,8]=>[2,5,1,3,4,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>2 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4,6,8,7]=>[2,5,8,1,3,4,6,7]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,3,5,4,7,8,6]=>[2,5,7,8,1,3,4,6]=>[[1,2,3,4],[5,6,7,8]]=>4 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,3,5,4,8,7,6]=>[8,2,5,7,1,3,4,6]=>[[1,3,4,8],[2,6,7],[5]]=>5 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,3,5,6,4,8,7]=>[2,5,6,8,1,3,4,7]=>[[1,2,3,4],[5,6,7,8]]=>4 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,8,4]=>[2,5,6,7,8,1,3,4]=>[[1,2,3,4,5],[6,7,8]]=>5 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,3,5,6,8,7,4]=>[8,2,5,6,7,1,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,3,5,7,6,8,4]=>[7,2,5,6,8,1,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,3,5,7,8,6,4]=>[7,8,2,5,6,1,3,4]=>[[1,2,5],[3,4,8],[6,7]]=>7 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,3,5,8,7,6,4]=>[8,7,2,5,6,1,3,4]=>[[1,4,5],[2,7,8],[3],[6]]=>8 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,3,6,5,4,8,7]=>[6,2,5,8,1,3,4,7]=>[[1,3,4,8],[2,6,7],[5]]=>5 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,3,6,5,7,8,4]=>[6,2,5,7,8,1,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,3,6,5,8,7,4]=>[6,8,2,5,7,1,3,4]=>[[1,2,5],[3,4,8],[6,7]]=>7 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,3,6,7,5,4,8]=>[6,7,2,5,1,3,4,8]=>[[1,2,7,8],[3,4],[5,6]]=>6 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,3,6,8,7,5,4]=>[8,6,7,2,5,1,3,4]=>[[1,3,8],[2,5],[4,7],[6]]=>9 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,3,7,6,8,5,4]=>[7,6,8,2,5,1,3,4]=>[[1,3,8],[2,5],[4,7],[6]]=>9 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,3,7,8,6,5,4]=>[7,8,6,2,5,1,3,4]=>[[1,2,8],[3,5],[4,7],[6]]=>10 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,3,8,7,6,5,4]=>[8,7,6,2,5,1,3,4]=>[[1,5,8],[2,7],[3],[4],[6]]=>11 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8]=>[2,4,1,3,5,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>2 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,4,3,5,6,8,7]=>[2,4,8,1,3,5,6,7]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,4,3,5,7,8,6]=>[2,4,7,8,1,3,5,6]=>[[1,2,3,4],[5,6,7,8]]=>4 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,4,3,5,8,7,6]=>[8,2,4,7,1,3,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>5 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,5,7,8]=>[2,4,6,1,3,5,7,8]=>[[1,2,3,7,8],[4,5,6]]=>3 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7]=>[2,4,6,8,1,3,5,7]=>[[1,2,3,4],[5,6,7,8]]=>4 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,3,6,7,5,8]=>[2,4,6,7,1,3,5,8]=>[[1,2,3,4,8],[5,6,7]]=>4 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,3,6,7,8,5]=>[2,4,6,7,8,1,3,5]=>[[1,2,3,4,5],[6,7,8]]=>5 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,8,7,5]=>[8,2,4,6,7,1,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,6,8,5]=>[7,2,4,6,8,1,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,4,3,7,8,6,5]=>[7,8,2,4,6,1,3,5]=>[[1,2,5],[3,4,8],[6,7]]=>7 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,8,7,6,5]=>[8,7,2,4,6,1,3,5]=>[[1,4,5],[2,7,8],[3],[6]]=>8 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,4,5,3,6,7,8]=>[2,4,5,1,3,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>3 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3,7,8,6]=>[2,4,5,7,8,1,3,6]=>[[1,2,3,4,5],[6,7,8]]=>5 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,6,3,7,8]=>[2,4,5,6,1,3,7,8]=>[[1,2,3,4,7,8],[5,6]]=>4 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,6,3,8,7]=>[2,4,5,6,8,1,3,7]=>[[1,2,3,4,5],[6,7,8]]=>5 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,7,3,8]=>[2,4,5,6,7,1,3,8]=>[[1,2,3,4,5,8],[6,7]]=>5 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,3]=>[2,4,5,6,7,8,1,3]=>[[1,2,3,4,5,6],[7,8]]=>6 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[2,1,4,5,7,6,8,3]=>[7,2,4,5,6,8,1,3]=>[[1,3,4,5,6],[2,8],[7]]=>7 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,4,5,7,8,6,3]=>[7,8,2,4,5,6,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>8 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,4,6,5,3,7,8]=>[6,2,4,5,1,3,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>5 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,6,5,3,8,7]=>[6,2,4,5,8,1,3,7]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,4,6,5,8,7,3]=>[6,8,2,4,5,7,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>8 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,1,4,6,7,8,5,3]=>[6,7,8,2,4,5,1,3]=>[[1,2,3],[4,5,6],[7,8]]=>9 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,4,7,6,5,8,3]=>[7,6,2,4,5,8,1,3]=>[[1,4,5,6],[2,8],[3],[7]]=>9 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,5,4,3,6,7,8]=>[5,2,4,1,3,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>4 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,1,5,4,3,6,8,7]=>[5,2,4,8,1,3,6,7]=>[[1,3,4,8],[2,6,7],[5]]=>5 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[2,1,5,4,3,7,6,8]=>[5,2,4,7,1,3,6,8]=>[[1,3,4,8],[2,6,7],[5]]=>5 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[2,1,5,4,3,7,8,6]=>[5,2,4,7,8,1,3,6]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[2,1,5,4,3,8,7,6]=>[5,8,2,4,7,1,3,6]=>[[1,2,5],[3,4,8],[6,7]]=>7 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,4,6,3,8,7]=>[5,2,4,6,8,1,3,7]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[2,1,5,4,6,7,3,8]=>[5,2,4,6,7,1,3,8]=>[[1,3,4,5,8],[2,7],[6]]=>6 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,1,5,4,6,8,7,3]=>[5,8,2,4,6,7,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>8 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,4,7,6,8,3]=>[5,7,2,4,6,8,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>8 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,1,5,6,4,3,8,7]=>[5,6,2,4,8,1,3,7]=>[[1,2,5],[3,4,8],[6,7]]=>7 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,1,5,6,4,7,8,3]=>[5,6,2,4,7,8,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>8 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,1,5,6,7,8,4,3]=>[5,6,7,8,2,4,1,3]=>[[1,2,3,4],[5,6],[7,8]]=>10 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,1,5,7,6,8,4,3]=>[7,5,6,8,2,4,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>11 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,1,5,7,8,6,4,3]=>[7,8,5,6,2,4,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>12 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,5,8,7,6,4,3]=>[8,7,5,6,2,4,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>13 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,6,5,4,3,8,7]=>[6,5,2,4,8,1,3,7]=>[[1,4,5],[2,7,8],[3],[6]]=>8 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[2,1,6,5,4,7,3,8]=>[6,5,2,4,7,1,3,8]=>[[1,4,5,8],[2,7],[3],[6]]=>8 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,6,5,4,7,8,3]=>[6,5,2,4,7,8,1,3]=>[[1,4,5,6],[2,8],[3],[7]]=>9 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,6,5,7,4,8,3]=>[6,5,7,2,4,8,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>10 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,1,6,5,7,8,4,3]=>[6,5,7,8,2,4,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>11 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,6,5,8,7,4,3]=>[6,8,5,7,2,4,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>12 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,1,6,7,5,8,4,3]=>[6,7,5,8,2,4,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>12 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,6,7,8,5,4,3]=>[6,7,8,5,2,4,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>13 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,7,6,5,4,8,3]=>[7,6,5,2,4,8,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>12 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,7,6,5,8,4,3]=>[7,6,5,8,2,4,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>13 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,8,7,6,5,4,3]=>[8,7,6,5,2,4,1,3]=>[[1,6],[2,8],[3],[4],[5],[7]]=>16 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>2 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,6,8,7]=>[2,3,8,1,4,5,6,7]=>[[1,2,3,6,7,8],[4,5]]=>3 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,5,7,6,8]=>[2,3,7,1,4,5,6,8]=>[[1,2,3,6,7,8],[4,5]]=>3 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,5,7,8,6]=>[2,3,7,8,1,4,5,6]=>[[1,2,3,4,8],[5,6,7]]=>4 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,5,8,7,6]=>[8,2,3,7,1,4,5,6]=>[[1,3,4,7,8],[2,6],[5]]=>5 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,3,1,4,6,5,7,8]=>[2,3,6,1,4,5,7,8]=>[[1,2,3,6,7,8],[4,5]]=>3 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,1,4,6,7,8,5]=>[2,3,6,7,8,1,4,5]=>[[1,2,3,4,5],[6,7,8]]=>5 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,3,1,4,6,8,7,5]=>[8,2,3,6,7,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,7,6,8,5]=>[7,2,3,6,8,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,3,1,4,7,8,6,5]=>[7,8,2,3,6,1,4,5]=>[[1,2,5,8],[3,4],[6,7]]=>7 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,1,4,8,7,6,5]=>[8,7,2,3,6,1,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>8 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,3,1,5,4,6,7,8]=>[2,3,5,1,4,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>3 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6,8]=>[2,3,5,7,1,4,6,8]=>[[1,2,3,4,8],[5,6,7]]=>4 [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,4,7,8,6]=>[2,3,5,7,8,1,4,6]=>[[1,2,3,4,5],[6,7,8]]=>5 [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,3,1,5,6,4,7,8]=>[2,3,5,6,1,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>4 [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,6,4,8,7]=>[2,3,5,6,8,1,4,7]=>[[1,2,3,4,5],[6,7,8]]=>5 [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,3,1,5,6,7,4,8]=>[2,3,5,6,7,1,4,8]=>[[1,2,3,4,5,8],[6,7]]=>5 [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,8,4]=>[2,3,5,6,7,8,1,4]=>[[1,2,3,4,5,6],[7,8]]=>6 [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,3,1,5,6,8,7,4]=>[8,2,3,5,6,7,1,4]=>[[1,3,4,5,6],[2,8],[7]]=>7 [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,3,1,5,7,8,6,4]=>[7,8,2,3,5,6,1,4]=>[[1,2,5,6],[3,4],[7,8]]=>8 [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,3,1,6,5,4,8,7]=>[6,2,3,5,8,1,4,7]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,1,6,5,8,7,4]=>[6,8,2,3,5,7,1,4]=>[[1,2,5,6],[3,4],[7,8]]=>8 [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,3,1,7,6,5,4,8]=>[7,6,2,3,5,1,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>8 [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,3,1,7,6,5,8,4]=>[7,6,2,3,5,8,1,4]=>[[1,4,5,6],[2,8],[3],[7]]=>9 [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,3,1,7,6,8,5,4]=>[7,6,8,2,3,5,1,4]=>[[1,3,6],[2,5],[4,8],[7]]=>10 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,1,7,8,6,5,4]=>[7,8,6,2,3,5,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>11 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>3 [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,4,1,5,6,8,7]=>[2,3,4,8,1,5,6,7]=>[[1,2,3,4,7,8],[5,6]]=>4 [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,4,1,5,7,6,8]=>[2,3,4,7,1,5,6,8]=>[[1,2,3,4,7,8],[5,6]]=>4 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,4,1,5,7,8,6]=>[2,3,4,7,8,1,5,6]=>[[1,2,3,4,5],[6,7,8]]=>5 [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,4,1,5,8,7,6]=>[8,2,3,4,7,1,5,6]=>[[1,3,4,5,8],[2,7],[6]]=>6 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,4,1,6,5,7,8]=>[2,3,4,6,1,5,7,8]=>[[1,2,3,4,7,8],[5,6]]=>4 [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,4,1,6,5,8,7]=>[2,3,4,6,8,1,5,7]=>[[1,2,3,4,5],[6,7,8]]=>5 [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,4,1,6,7,5,8]=>[2,3,4,6,7,1,5,8]=>[[1,2,3,4,5,8],[6,7]]=>5 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,6,7,8,5]=>[2,3,4,6,7,8,1,5]=>[[1,2,3,4,5,6],[7,8]]=>6 [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,4,1,6,8,7,5]=>[8,2,3,4,6,7,1,5]=>[[1,3,4,5,6],[2,8],[7]]=>7 [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,4,1,7,6,8,5]=>[7,2,3,4,6,8,1,5]=>[[1,3,4,5,6],[2,8],[7]]=>7 [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,7,8,6,5]=>[7,8,2,3,4,6,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>8 [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,4,1,8,7,6,5]=>[8,7,2,3,4,6,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>9 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8]=>[2,3,4,5,1,6,7,8]=>[[1,2,3,4,6,7,8],[5]]=>4 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,5,1,6,8,7]=>[2,3,4,5,8,1,6,7]=>[[1,2,3,4,5,8],[6,7]]=>5 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,5,1,7,6,8]=>[2,3,4,5,7,1,6,8]=>[[1,2,3,4,5,8],[6,7]]=>5 [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,5,1,7,8,6]=>[2,3,4,5,7,8,1,6]=>[[1,2,3,4,5,6],[7,8]]=>6 [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,5,1,8,7,6]=>[8,2,3,4,5,7,1,6]=>[[1,3,4,5,6],[2,8],[7]]=>7 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,1,7,8]=>[2,3,4,5,6,1,7,8]=>[[1,2,3,4,5,7,8],[6]]=>5 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,1,8,7]=>[2,3,4,5,6,8,1,7]=>[[1,2,3,4,5,6],[7,8]]=>6 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,1,8]=>[2,3,4,5,6,7,1,8]=>[[1,2,3,4,5,6,8],[7]]=>6 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,8,1]=>[[1,2,3,4,5,6,7],[8]]=>7 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,8,7,1]=>[8,2,3,4,5,6,7,1]=>[[1,3,4,5,6,7],[2],[8]]=>8 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,5,7,6,1,8]=>[7,2,3,4,5,6,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>7 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,5,7,6,8,1]=>[7,2,3,4,5,6,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>8 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,7,8,6,1]=>[7,8,2,3,4,5,6,1]=>[[1,2,5,6,7],[3,4],[8]]=>9 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,8,7,6,1]=>[8,7,2,3,4,5,6,1]=>[[1,4,5,6,7],[2],[3],[8]]=>10 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,4,6,5,1,7,8]=>[6,2,3,4,5,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>6 [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,4,6,5,1,8,7]=>[6,2,3,4,5,8,1,7]=>[[1,3,4,5,6],[2,8],[7]]=>7 [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,4,6,5,7,1,8]=>[6,2,3,4,5,7,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>7 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,4,6,5,7,8,1]=>[6,2,3,4,5,7,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>8 [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,4,6,7,5,1,8]=>[6,7,2,3,4,5,1,8]=>[[1,2,5,6,8],[3,4],[7]]=>8 [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,4,6,7,5,8,1]=>[6,7,2,3,4,5,8,1]=>[[1,2,5,6,7],[3,4],[8]]=>9 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,6,7,8,5,1]=>[6,7,8,2,3,4,5,1]=>[[1,2,3,7],[4,5,6],[8]]=>10 [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,4,6,8,7,5,1]=>[8,6,7,2,3,4,5,1]=>[[1,3,6,7],[2,5],[4],[8]]=>11 [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,4,7,6,5,1,8]=>[7,6,2,3,4,5,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>9 [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,4,7,6,5,8,1]=>[7,6,2,3,4,5,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>10 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,4,7,6,8,5,1]=>[7,6,8,2,3,4,5,1]=>[[1,3,6,7],[2,5],[4],[8]]=>11 [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,4,7,8,6,5,1]=>[7,8,6,2,3,4,5,1]=>[[1,2,6,7],[3,5],[4],[8]]=>12 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,8,7,6,5,1]=>[8,7,6,2,3,4,5,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>13 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,5,4,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>5 [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,3,5,4,1,6,8,7]=>[5,2,3,4,8,1,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>6 [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,3,5,4,1,7,6,8]=>[5,2,3,4,7,1,6,8]=>[[1,3,4,5,8],[2,7],[6]]=>6 [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,3,5,4,1,8,7,6]=>[5,8,2,3,4,7,1,6]=>[[1,2,5,6],[3,4],[7,8]]=>8 [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,3,5,4,6,1,7,8]=>[5,2,3,4,6,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>6 [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,3,5,4,6,7,1,8]=>[5,2,3,4,6,7,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>7 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,5,4,6,7,8,1]=>[5,2,3,4,6,7,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>8 [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,5,4,7,6,8,1]=>[5,7,2,3,4,6,8,1]=>[[1,2,5,6,7],[3,4],[8]]=>9 [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,3,5,6,4,1,7,8]=>[5,6,2,3,4,1,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>7 [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,3,5,6,4,8,7,1]=>[5,6,8,2,3,4,7,1]=>[[1,2,3,7],[4,5,6],[8]]=>10 [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,3,5,6,7,4,1,8]=>[5,6,7,2,3,4,1,8]=>[[1,2,3,8],[4,5,6],[7]]=>9 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,5,6,7,4,8,1]=>[5,6,7,2,3,4,8,1]=>[[1,2,3,7],[4,5,6],[8]]=>10 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,8,4,1]=>[5,6,7,8,2,3,4,1]=>[[1,2,3,4],[5,6,7],[8]]=>11 [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,5,6,8,7,4,1]=>[8,5,6,7,2,3,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>12 [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,5,7,6,4,8,1]=>[7,5,6,2,3,4,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>11 [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,5,7,8,6,4,1]=>[7,8,5,6,2,3,4,1]=>[[1,2,7],[3,4],[5,6],[8]]=>13 [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,5,8,7,6,4,1]=>[8,7,5,6,2,3,4,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>14 [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,3,6,5,4,1,7,8]=>[6,5,2,3,4,1,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>8 [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,6,5,4,1,8,7]=>[6,5,2,3,4,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>9 [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,6,5,4,7,8,1]=>[6,5,2,3,4,7,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>10 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,3,6,5,7,8,4,1]=>[6,5,7,8,2,3,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>12 [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,6,7,5,8,4,1]=>[6,7,5,8,2,3,4,1]=>[[1,2,4],[3,6,7],[5],[8]]=>13 [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,6,7,8,5,4,1]=>[6,7,8,5,2,3,4,1]=>[[1,2,3],[4,6,7],[5],[8]]=>14 [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,6,8,7,5,4,1]=>[8,6,7,5,2,3,4,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>15 [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,3,7,6,5,4,1,8]=>[7,6,5,2,3,4,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>12 [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,7,6,5,4,8,1]=>[7,6,5,2,3,4,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>13 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,7,6,5,8,4,1]=>[7,6,5,8,2,3,4,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>14 [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,3,7,6,8,5,4,1]=>[7,6,8,5,2,3,4,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>15 [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,8,7,6,5,4,1]=>[8,7,6,5,2,3,4,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>17 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>4 [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[2,4,3,1,5,6,8,7]=>[4,2,3,8,1,5,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>5 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,1,6,5,8,7]=>[4,2,3,6,8,1,5,7]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[2,4,3,1,6,7,8,5]=>[4,2,3,6,7,8,1,5]=>[[1,3,4,5,6],[2,8],[7]]=>7 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,4,3,1,6,8,7,5]=>[4,8,2,3,6,7,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>8 [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,4,3,1,7,6,8,5]=>[4,7,2,3,6,8,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>8 [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,4,3,1,8,7,6,5]=>[8,4,7,2,3,6,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>10 [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,4,3,5,1,6,7,8]=>[4,2,3,5,1,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>5 [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[2,4,3,5,1,6,8,7]=>[4,2,3,5,8,1,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>6 [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[2,4,3,5,1,8,7,6]=>[4,8,2,3,5,7,1,6]=>[[1,2,5,6],[3,4],[7,8]]=>8 [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[2,4,3,5,6,1,7,8]=>[4,2,3,5,6,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>6 [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[2,4,3,5,6,1,8,7]=>[4,2,3,5,6,8,1,7]=>[[1,3,4,5,6],[2,8],[7]]=>7 [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[2,4,3,5,6,7,1,8]=>[4,2,3,5,6,7,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>7 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,8,1]=>[4,2,3,5,6,7,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>8 [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,4,3,5,6,8,7,1]=>[4,8,2,3,5,6,7,1]=>[[1,2,5,6,7],[3,4],[8]]=>9 [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[2,4,3,5,7,6,1,8]=>[4,7,2,3,5,6,1,8]=>[[1,2,5,6,8],[3,4],[7]]=>8 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,6,5,7,1,8]=>[4,6,2,3,5,7,1,8]=>[[1,2,5,6,8],[3,4],[7]]=>8 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,8,7,1]=>[4,6,8,2,3,5,7,1]=>[[1,2,3,7],[4,5,6],[8]]=>10 [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,4,3,6,7,5,8,1]=>[4,6,7,2,3,5,8,1]=>[[1,2,3,7],[4,5,6],[8]]=>10 [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[2,4,3,6,7,8,5,1]=>[4,6,7,8,2,3,5,1]=>[[1,2,3,4],[5,6,7],[8]]=>11 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,4,3,6,8,7,5,1]=>[8,4,6,7,2,3,5,1]=>[[1,3,4],[2,6,7],[5],[8]]=>12 [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[2,4,3,7,6,5,1,8]=>[7,4,6,2,3,5,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>10 [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,4,3,7,6,5,8,1]=>[7,4,6,2,3,5,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>11 [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[2,4,5,3,1,6,7,8]=>[4,5,2,3,1,6,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>6 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[2,4,5,3,1,8,7,6]=>[4,5,8,2,3,7,1,6]=>[[1,2,3],[4,5,6],[7,8]]=>9 [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[2,4,5,3,6,7,1,8]=>[4,5,2,3,6,7,1,8]=>[[1,2,5,6,8],[3,4],[7]]=>8 [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,4,5,3,6,7,8,1]=>[4,5,2,3,6,7,8,1]=>[[1,2,5,6,7],[3,4],[8]]=>9 [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[2,4,5,3,6,8,7,1]=>[4,5,8,2,3,6,7,1]=>[[1,2,3,7],[4,5,6],[8]]=>10 [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[2,4,5,3,7,6,8,1]=>[4,5,7,2,3,6,8,1]=>[[1,2,3,7],[4,5,6],[8]]=>10 [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[2,4,5,6,3,1,8,7]=>[4,5,6,2,3,8,1,7]=>[[1,2,3,6],[4,5,8],[7]]=>9 [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[2,4,5,6,3,7,8,1]=>[4,5,6,2,3,7,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>10 [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[2,4,5,6,3,8,7,1]=>[4,5,6,8,2,3,7,1]=>[[1,2,3,4],[5,6,7],[8]]=>11 [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[2,4,5,6,7,3,1,8]=>[4,5,6,7,2,3,1,8]=>[[1,2,3,4,8],[5,6],[7]]=>10 [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,7,3,8,1]=>[4,5,6,7,2,3,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>11 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,8,3,1]=>[4,5,6,7,8,2,3,1]=>[[1,2,3,4,5],[6,7],[8]]=>12 [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[2,4,5,6,8,7,3,1]=>[8,4,5,6,7,2,3,1]=>[[1,3,4,5],[2,7],[6],[8]]=>13 [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[2,4,5,7,6,3,8,1]=>[7,4,5,6,2,3,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>12 [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[2,4,5,7,8,6,3,1]=>[7,8,4,5,6,2,3,1]=>[[1,2,5],[3,4],[6,7],[8]]=>14 [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,4,6,5,3,1,8,7]=>[6,4,5,2,3,8,1,7]=>[[1,3,6],[2,5,8],[4],[7]]=>10 [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[2,4,6,5,3,7,8,1]=>[6,4,5,2,3,7,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>11 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[2,4,6,7,5,3,1,8]=>[6,7,4,5,2,3,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>12 [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,4,6,7,5,3,8,1]=>[6,7,4,5,2,3,8,1]=>[[1,2,7],[3,4],[5,6],[8]]=>13 [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[2,4,6,7,5,8,3,1]=>[6,7,4,5,8,2,3,1]=>[[1,2,5],[3,4],[6,7],[8]]=>14 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,4,6,8,7,5,3,1]=>[8,6,7,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>16 [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[2,4,7,6,5,3,1,8]=>[7,6,4,5,2,3,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>13 [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,4,7,6,5,3,8,1]=>[7,6,4,5,2,3,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>14 [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,4,8,7,6,5,3,1]=>[8,7,6,4,5,2,3,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>18 [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,5,4,3,1,6,7,8]=>[5,4,2,3,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>7 [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[2,5,4,3,1,6,8,7]=>[5,4,2,3,8,1,6,7]=>[[1,4,5,8],[2,7],[3],[6]]=>8 [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[2,5,4,3,6,1,8,7]=>[5,4,2,3,6,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>9 [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,5,4,3,6,7,1,8]=>[5,4,2,3,6,7,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>9 [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,5,4,3,6,7,8,1]=>[5,4,2,3,6,7,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>10 [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,5,4,3,6,8,7,1]=>[5,4,8,2,3,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>11 [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,5,4,3,7,6,8,1]=>[5,4,7,2,3,6,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>11 [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,5,4,3,7,8,6,1]=>[5,4,7,8,2,3,6,1]=>[[1,3,4],[2,6,7],[5],[8]]=>12 [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[2,5,4,6,3,1,7,8]=>[5,4,6,2,3,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>9 [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[2,5,4,6,3,1,8,7]=>[5,4,6,2,3,8,1,7]=>[[1,3,6],[2,5,8],[4],[7]]=>10 [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[2,5,4,6,3,7,1,8]=>[5,4,6,2,3,7,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>10 [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,5,4,6,3,7,8,1]=>[5,4,6,2,3,7,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>11 [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[2,5,4,6,7,3,1,8]=>[5,4,6,7,2,3,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>11 [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[2,5,4,6,7,3,8,1]=>[5,4,6,7,2,3,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>12 [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[2,5,4,7,6,3,1,8]=>[5,7,4,6,2,3,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>12 [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,5,4,8,7,6,3,1]=>[8,5,7,4,6,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>16 [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[2,5,6,4,3,1,8,7]=>[5,6,4,2,3,8,1,7]=>[[1,2,6],[3,5,8],[4],[7]]=>11 [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[2,5,6,4,3,7,8,1]=>[5,6,4,2,3,7,8,1]=>[[1,2,6,7],[3,5],[4],[8]]=>12 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[2,5,6,4,7,3,1,8]=>[5,6,4,7,2,3,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>12 [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[2,5,6,4,7,3,8,1]=>[5,6,4,7,2,3,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>13 [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[2,5,6,7,4,3,8,1]=>[5,6,7,4,2,3,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>14 [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,5,6,7,8,4,3,1]=>[5,6,7,8,4,2,3,1]=>[[1,2,3,4],[5,7],[6],[8]]=>16 [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,5,6,8,7,4,3,1]=>[8,5,6,7,4,2,3,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>17 [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,5,7,6,4,3,1,8]=>[7,5,6,4,2,3,1,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>14 [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,5,7,6,4,3,8,1]=>[7,5,6,4,2,3,8,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>15 [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,5,7,6,4,8,3,1]=>[7,5,6,4,8,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>16 [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,5,7,6,8,4,3,1]=>[7,5,6,8,4,2,3,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>17 [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,5,8,7,6,4,3,1]=>[8,7,5,6,4,2,3,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>19 [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,6,5,4,3,7,8,1]=>[6,5,4,2,3,7,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>13 [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,6,5,4,8,7,3,1]=>[6,5,8,4,7,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>16 [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,6,5,7,4,3,8,1]=>[6,5,7,4,2,3,8,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>15 [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,6,5,7,4,8,3,1]=>[6,5,7,4,8,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>16 [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,6,5,8,7,4,3,1]=>[6,8,5,7,4,2,3,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>18 [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,6,7,5,4,3,1,8]=>[6,7,5,4,2,3,1,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>15 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,6,7,5,8,4,3,1]=>[6,7,5,8,4,2,3,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>18 [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,6,8,7,5,4,3,1]=>[8,6,7,5,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>20 [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,7,6,5,4,3,1,8]=>[7,6,5,4,2,3,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>16 [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,7,6,5,4,3,8,1]=>[7,6,5,4,2,3,8,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>17 [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,7,6,5,4,8,3,1]=>[7,6,5,4,8,2,3,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>18 [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,7,6,5,8,4,3,1]=>[7,6,5,8,4,2,3,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>19 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,7,6,8,5,4,3,1]=>[7,6,8,5,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>20 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,7,8,6,5,4,3,1]=>[7,8,6,5,4,2,3,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>21 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,8,7,6,5,4,3,1]=>[8,7,6,5,4,2,3,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>22 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>3 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,6,8,7]=>[3,2,8,1,4,5,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>4 [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,5,7,8,6]=>[3,2,7,8,1,4,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>5 [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,5,8,7,6]=>[3,8,2,7,1,4,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>6 [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]=>[3,2,1,4,6,5,7,8]=>[3,2,6,1,4,5,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>4 [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[3,2,1,4,6,5,8,7]=>[3,2,6,8,1,4,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>5 [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[3,2,1,4,6,7,8,5]=>[3,2,6,7,8,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,2,1,4,6,8,7,5]=>[3,8,2,6,7,1,4,5]=>[[1,2,5],[3,4,8],[6,7]]=>7 [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,2,1,4,7,6,5,8]=>[3,7,2,6,1,4,5,8]=>[[1,2,7,8],[3,4],[5,6]]=>6 [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,2,1,4,8,7,6,5]=>[8,3,7,2,6,1,4,5]=>[[1,3,8],[2,5],[4,7],[6]]=>9 [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[3,2,1,5,4,6,8,7]=>[3,2,5,8,1,4,6,7]=>[[1,3,4,8],[2,6,7],[5]]=>5 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,7,6,8]=>[3,2,5,7,1,4,6,8]=>[[1,3,4,8],[2,6,7],[5]]=>5 [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[3,2,1,5,4,8,7,6]=>[3,8,2,5,7,1,4,6]=>[[1,2,5],[3,4,8],[6,7]]=>7 [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[3,2,1,5,6,4,7,8]=>[3,2,5,6,1,4,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>5 [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[3,2,1,5,6,4,8,7]=>[3,2,5,6,8,1,4,7]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,8,4]=>[3,2,5,6,7,8,1,4]=>[[1,3,4,5,6],[2,8],[7]]=>7 [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,2,1,5,6,8,7,4]=>[3,8,2,5,6,7,1,4]=>[[1,2,5,6],[3,4],[7,8]]=>8 [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,2,1,5,7,8,6,4]=>[3,7,8,2,5,6,1,4]=>[[1,2,3],[4,5,6],[7,8]]=>9 [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,2,1,5,8,7,6,4]=>[8,3,7,2,5,6,1,4]=>[[1,3,6],[2,5],[4,8],[7]]=>10 [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,2,1,6,5,7,4,8]=>[3,6,2,5,7,1,4,8]=>[[1,2,5,8],[3,4],[6,7]]=>7 [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,2,1,6,5,7,8,4]=>[3,6,2,5,7,8,1,4]=>[[1,2,5,6],[3,4],[7,8]]=>8 [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,2,1,6,5,8,7,4]=>[3,6,8,2,5,7,1,4]=>[[1,2,3],[4,5,6],[7,8]]=>9 [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,2,1,6,7,5,8,4]=>[3,6,7,2,5,8,1,4]=>[[1,2,3,6],[4,5],[7,8]]=>9 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,2,1,7,6,5,4,8]=>[7,3,6,2,5,1,4,8]=>[[1,3,8],[2,5],[4,7],[6]]=>9 [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,1,7,8,6,5,4]=>[7,8,3,6,2,5,1,4]=>[[1,2],[3,4],[5,6],[7,8]]=>12 [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,2,1,8,7,6,5,4]=>[8,7,3,6,2,5,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>13 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7,8]=>[3,2,4,1,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>4 [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,2,4,1,5,6,8,7]=>[3,2,4,8,1,5,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>5 [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,2,4,1,5,7,8,6]=>[3,2,4,7,8,1,5,6]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,2,4,1,5,8,7,6]=>[3,8,2,4,7,1,5,6]=>[[1,2,5,8],[3,4],[6,7]]=>7 [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,2,4,1,6,5,7,8]=>[3,2,4,6,1,5,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>5 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,8,7]=>[3,2,4,6,8,1,5,7]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,2,4,1,6,7,8,5]=>[3,2,4,6,7,8,1,5]=>[[1,3,4,5,6],[2,8],[7]]=>7 [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,2,4,1,6,8,7,5]=>[3,8,2,4,6,7,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>8 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,4,1,7,6,8,5]=>[3,7,2,4,6,8,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>8 [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,2,4,1,7,8,6,5]=>[3,7,8,2,4,6,1,5]=>[[1,2,3],[4,5,6],[7,8]]=>9 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,2,4,1,8,7,6,5]=>[8,3,7,2,4,6,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>10 [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,5,1,6,7,8]=>[3,2,4,5,1,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>5 [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[3,2,4,5,1,6,8,7]=>[3,2,4,5,8,1,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>6 [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]=>[3,2,4,5,1,7,8,6]=>[3,2,4,5,7,8,1,6]=>[[1,3,4,5,6],[2,8],[7]]=>7 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,2,4,5,6,1,7,8]=>[3,2,4,5,6,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>6 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,7,1,8]=>[3,2,4,5,6,7,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>7 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,1]=>[3,2,4,5,6,7,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>8 [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,6,8,7,1]=>[3,8,2,4,5,6,7,1]=>[[1,2,5,6,7],[3,4],[8]]=>9 [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[3,2,4,6,5,8,7,1]=>[3,6,8,2,4,5,7,1]=>[[1,2,3,7],[4,5,6],[8]]=>10 [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[3,2,4,6,7,5,8,1]=>[3,6,7,2,4,5,8,1]=>[[1,2,3,7],[4,5,6],[8]]=>10 [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,2,4,7,6,5,8,1]=>[7,3,6,2,4,5,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>11 [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[3,2,4,7,8,6,5,1]=>[7,8,3,6,2,4,5,1]=>[[1,2,7],[3,4],[5,6],[8]]=>13 [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,5,4,1,6,7,8]=>[3,5,2,4,1,6,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>6 [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,5,4,1,6,8,7]=>[3,5,2,4,8,1,6,7]=>[[1,2,5,8],[3,4,7],[6]]=>7 [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,5,4,1,7,6,8]=>[3,5,2,4,7,1,6,8]=>[[1,2,5,8],[3,4,7],[6]]=>7 [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,5,4,1,8,7,6]=>[3,5,8,2,4,7,1,6]=>[[1,2,3],[4,5,6],[7,8]]=>9 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,5,4,6,1,8,7]=>[3,5,2,4,6,8,1,7]=>[[1,2,5,6],[3,4,8],[7]]=>8 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,5,4,6,7,8,1]=>[3,5,2,4,6,7,8,1]=>[[1,2,5,6,7],[3,4],[8]]=>9 [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,5,4,6,8,7,1]=>[3,5,8,2,4,6,7,1]=>[[1,2,3,7],[4,5,6],[8]]=>10 [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,7,6,1,8]=>[3,5,7,2,4,6,1,8]=>[[1,2,3,8],[4,5,6],[7]]=>9 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,7,6,8,1]=>[3,5,7,2,4,6,8,1]=>[[1,2,3,7],[4,5,6],[8]]=>10 [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,5,4,7,8,6,1]=>[3,5,7,8,2,4,6,1]=>[[1,2,3,4],[5,6,7],[8]]=>11 [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,2,5,6,4,1,8,7]=>[3,5,6,2,4,8,1,7]=>[[1,2,3,6],[4,5,8],[7]]=>9 [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[3,2,5,6,4,7,8,1]=>[3,5,6,2,4,7,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>10 [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[3,2,5,6,7,4,1,8]=>[3,5,6,7,2,4,1,8]=>[[1,2,3,4,8],[5,6],[7]]=>10 [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[3,2,5,6,7,4,8,1]=>[3,5,6,7,2,4,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>11 [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,2,5,6,7,8,4,1]=>[3,5,6,7,8,2,4,1]=>[[1,2,3,4,5],[6,7],[8]]=>12 [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,5,8,7,6,4,1]=>[8,7,3,5,6,2,4,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>15 [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,2,6,5,4,1,8,7]=>[6,3,5,2,4,8,1,7]=>[[1,3,6],[2,5,8],[4],[7]]=>10 [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,2,6,5,4,8,7,1]=>[6,3,5,8,2,4,7,1]=>[[1,3,4],[2,6,7],[5],[8]]=>12 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,2,6,5,7,4,8,1]=>[6,3,5,7,2,4,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>12 [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[3,2,6,5,7,8,4,1]=>[6,3,5,7,8,2,4,1]=>[[1,3,4,5],[2,7],[6],[8]]=>13 [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,2,6,7,5,4,1,8]=>[6,7,3,5,2,4,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>12 [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[3,2,6,7,5,4,8,1]=>[6,7,3,5,2,4,8,1]=>[[1,2,7],[3,4],[5,6],[8]]=>13 [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,2,6,8,7,5,4,1]=>[8,6,7,3,5,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>16 [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,2,7,6,5,4,1,8]=>[7,6,3,5,2,4,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>13 [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,2,7,6,5,4,8,1]=>[7,6,3,5,2,4,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>14 [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,2,7,6,5,8,4,1]=>[7,6,3,5,8,2,4,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>15 [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,2,7,6,8,5,4,1]=>[7,6,8,3,5,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>16 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,2,8,7,6,5,4,1]=>[8,7,6,3,5,2,4,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>18 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,4,2,1,5,6,7,8]=>[3,4,2,1,5,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>5 [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,4,2,1,5,6,8,7]=>[3,4,2,8,1,5,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>6 [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,4,2,1,5,7,6,8]=>[3,4,2,7,1,5,6,8]=>[[1,2,4,7,8],[3,6],[5]]=>6 [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,4,2,1,5,7,8,6]=>[3,4,2,7,8,1,5,6]=>[[1,2,4,5],[3,7,8],[6]]=>7 [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,4,2,1,5,8,7,6]=>[3,4,8,2,7,1,5,6]=>[[1,2,3,8],[4,5],[6,7]]=>8 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,4,2,1,6,5,8,7]=>[3,4,2,6,8,1,5,7]=>[[1,2,4,5],[3,7,8],[6]]=>7 [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,4,2,1,6,7,8,5]=>[3,4,2,6,7,8,1,5]=>[[1,2,4,5,6],[3,8],[7]]=>8 [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,4,2,1,6,8,7,5]=>[3,4,8,2,6,7,1,5]=>[[1,2,3,6],[4,5],[7,8]]=>9 [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,4,2,1,7,6,8,5]=>[3,4,7,2,6,8,1,5]=>[[1,2,3,6],[4,5],[7,8]]=>9 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,4,2,1,7,8,6,5]=>[3,4,7,8,2,6,1,5]=>[[1,2,3,4],[5,6],[7,8]]=>10 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4,2,1,8,7,6,5]=>[8,3,4,7,2,6,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>11 [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,4,2,5,1,6,7,8]=>[3,4,2,5,1,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>6 [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,4,2,5,6,1,7,8]=>[3,4,2,5,6,1,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>7 [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,4,2,5,6,1,8,7]=>[3,4,2,5,6,8,1,7]=>[[1,2,4,5,6],[3,8],[7]]=>8 [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,4,2,5,6,7,1,8]=>[3,4,2,5,6,7,1,8]=>[[1,2,4,5,6,8],[3],[7]]=>8 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,4,2,5,6,7,8,1]=>[3,4,2,5,6,7,8,1]=>[[1,2,4,5,6,7],[3],[8]]=>9 [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,4,2,5,6,8,7,1]=>[3,4,8,2,5,6,7,1]=>[[1,2,3,6,7],[4,5],[8]]=>10 [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,4,2,5,7,8,6,1]=>[3,4,7,8,2,5,6,1]=>[[1,2,3,4],[5,6,7],[8]]=>11 [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,4,2,5,8,7,6,1]=>[8,3,4,7,2,5,6,1]=>[[1,3,4,7],[2,6],[5],[8]]=>12 [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,4,2,6,5,7,1,8]=>[3,4,6,2,5,7,1,8]=>[[1,2,3,6,8],[4,5],[7]]=>9 [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,4,2,6,5,8,7,1]=>[3,4,6,8,2,5,7,1]=>[[1,2,3,4],[5,6,7],[8]]=>11 [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,4,2,6,7,8,5,1]=>[3,4,6,7,8,2,5,1]=>[[1,2,3,4,5],[6,7],[8]]=>12 [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4,2,8,7,6,5,1]=>[8,7,3,4,6,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>15 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,4,5,2,1,6,7,8]=>[3,4,5,2,1,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>7 [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,4,5,2,1,7,6,8]=>[3,4,5,2,7,1,6,8]=>[[1,2,3,5,8],[4,7],[6]]=>8 [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,4,5,2,1,7,8,6]=>[3,4,5,2,7,8,1,6]=>[[1,2,3,5,6],[4,8],[7]]=>9 [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,4,5,2,1,8,7,6]=>[3,4,5,8,2,7,1,6]=>[[1,2,3,4],[5,6],[7,8]]=>10 [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,4,5,2,6,1,7,8]=>[3,4,5,2,6,1,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>8 [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,4,5,2,6,7,1,8]=>[3,4,5,2,6,7,1,8]=>[[1,2,3,5,6,8],[4],[7]]=>9 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,4,5,2,6,7,8,1]=>[3,4,5,2,6,7,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>10 [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,4,5,2,6,8,7,1]=>[3,4,5,8,2,6,7,1]=>[[1,2,3,4,7],[5,6],[8]]=>11 [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,4,5,2,7,6,8,1]=>[3,4,5,7,2,6,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>11 [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,4,5,2,7,8,6,1]=>[3,4,5,7,8,2,6,1]=>[[1,2,3,4,5],[6,7],[8]]=>12 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,4,5,6,2,1,7,8]=>[3,4,5,6,2,1,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>9 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,4,5,6,2,1,8,7]=>[3,4,5,6,2,8,1,7]=>[[1,2,3,4,6],[5,8],[7]]=>10 [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,4,5,6,2,7,1,8]=>[3,4,5,6,2,7,1,8]=>[[1,2,3,4,6,8],[5],[7]]=>10 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,4,5,6,2,7,8,1]=>[3,4,5,6,2,7,8,1]=>[[1,2,3,4,6,7],[5],[8]]=>11 [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,4,5,6,2,8,7,1]=>[3,4,5,6,8,2,7,1]=>[[1,2,3,4,5],[6,7],[8]]=>12 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,6,7,2,1,8]=>[3,4,5,6,7,2,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>11 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,7,2,8,1]=>[3,4,5,6,7,2,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>12 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,2,1]=>[3,4,5,6,7,8,2,1]=>[[1,2,3,4,5,6],[7],[8]]=>13 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,4,5,6,8,7,2,1]=>[8,3,4,5,6,7,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>14 [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,4,5,7,6,2,8,1]=>[7,3,4,5,6,2,8,1]=>[[1,3,4,5,7],[2],[6],[8]]=>13 [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,4,5,7,6,8,2,1]=>[7,3,4,5,6,8,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>14 [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,4,5,7,8,6,2,1]=>[7,8,3,4,5,6,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>15 [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,8,7,6,2,1]=>[8,7,3,4,5,6,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>16 [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,4,6,5,2,7,1,8]=>[6,3,4,5,2,7,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>11 [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,4,6,5,2,7,8,1]=>[6,3,4,5,2,7,8,1]=>[[1,3,4,6,7],[2],[5],[8]]=>12 [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,4,6,5,7,2,8,1]=>[6,3,4,5,7,2,8,1]=>[[1,3,4,5,7],[2],[6],[8]]=>13 [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,4,6,5,7,8,2,1]=>[6,3,4,5,7,8,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>14 [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,4,6,5,8,7,2,1]=>[6,8,3,4,5,7,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>15 [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,4,6,7,8,5,2,1]=>[6,7,8,3,4,5,2,1]=>[[1,2,3],[4,5,6],[7],[8]]=>16 [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,4,6,8,7,5,2,1]=>[8,6,7,3,4,5,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>17 [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,4,7,6,5,2,1,8]=>[7,6,3,4,5,2,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>14 [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,4,7,6,5,2,8,1]=>[7,6,3,4,5,2,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>15 [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,4,7,6,5,8,2,1]=>[7,6,3,4,5,8,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>16 [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,4,7,6,8,5,2,1]=>[7,6,8,3,4,5,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>17 [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,4,7,8,6,5,2,1]=>[7,8,6,3,4,5,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>18 [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,8,7,6,5,2,1]=>[8,7,6,3,4,5,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>19 [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[3,5,4,2,1,6,7,8]=>[5,3,4,2,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>8 [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[3,5,4,2,1,7,6,8]=>[5,3,4,2,7,1,6,8]=>[[1,3,5,8],[2,7],[4],[6]]=>9 [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[3,5,4,2,6,7,8,1]=>[5,3,4,2,6,7,8,1]=>[[1,3,5,6,7],[2],[4],[8]]=>11 [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[3,5,4,2,6,8,7,1]=>[5,3,4,8,2,6,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>12 [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[3,5,4,2,7,6,1,8]=>[5,3,4,7,2,6,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>11 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[3,5,4,6,2,1,8,7]=>[5,3,4,6,2,8,1,7]=>[[1,3,4,6],[2,8],[5],[7]]=>11 [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[3,5,4,6,2,7,1,8]=>[5,3,4,6,2,7,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>11 [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[3,5,4,6,2,8,7,1]=>[5,3,4,6,8,2,7,1]=>[[1,3,4,5],[2,7],[6],[8]]=>13 [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[3,5,4,6,7,8,2,1]=>[5,3,4,6,7,8,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>14 [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,5,4,6,8,7,2,1]=>[5,8,3,4,6,7,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>15 [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[3,5,4,7,6,2,8,1]=>[5,7,3,4,6,2,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>14 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,5,4,7,6,8,2,1]=>[5,7,3,4,6,8,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>15 [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,5,4,7,8,6,2,1]=>[5,7,8,3,4,6,2,1]=>[[1,2,3],[4,5,6],[7],[8]]=>16 [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,5,4,8,7,6,2,1]=>[8,5,7,3,4,6,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>17 [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[3,5,6,4,2,1,7,8]=>[5,6,3,4,2,1,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>11 [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[3,5,6,4,2,1,8,7]=>[5,6,3,4,2,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>12 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[3,5,6,4,2,7,1,8]=>[5,6,3,4,2,7,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>12 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[3,5,6,4,2,8,7,1]=>[5,6,3,4,8,2,7,1]=>[[1,2,5],[3,4,7],[6],[8]]=>14 [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[3,5,6,4,7,2,8,1]=>[5,6,3,4,7,2,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>14 [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,5,6,7,8,4,2,1]=>[5,6,7,8,3,4,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>17 [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,5,6,8,7,4,2,1]=>[8,5,6,7,3,4,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>18 [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,5,7,6,4,2,1,8]=>[7,5,6,3,4,2,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>15 [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,5,7,6,4,2,8,1]=>[7,5,6,3,4,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>16 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,5,7,8,6,4,2,1]=>[7,8,5,6,3,4,2,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>19 [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,5,8,7,6,4,2,1]=>[8,7,5,6,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>20 [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,6,5,4,2,1,7,8]=>[6,5,3,4,2,1,7,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>12 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,6,5,4,2,1,8,7]=>[6,5,3,4,2,8,1,7]=>[[1,4,6],[2,8],[3],[5],[7]]=>13 [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,6,5,4,2,7,8,1]=>[6,5,3,4,2,7,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>14 [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,6,5,4,2,8,7,1]=>[6,5,3,4,8,2,7,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>15 [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,6,5,4,7,2,8,1]=>[6,5,3,4,7,2,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>15 [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,6,5,4,7,8,2,1]=>[6,5,3,4,7,8,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>16 [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,6,5,7,4,2,8,1]=>[6,5,7,3,4,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>16 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,6,5,7,8,4,2,1]=>[6,5,7,8,3,4,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>18 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,6,7,5,8,4,2,1]=>[6,7,5,8,3,4,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19 [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,6,8,7,5,4,2,1]=>[8,6,7,5,3,4,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>21 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,7,6,5,4,2,1,8]=>[7,6,5,3,4,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>17 [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,7,6,5,4,2,8,1]=>[7,6,5,3,4,2,8,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>18 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,7,6,5,4,8,2,1]=>[7,6,5,3,4,8,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>19 [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,7,6,5,8,4,2,1]=>[7,6,5,8,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>20 [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,7,6,8,5,4,2,1]=>[7,6,8,5,3,4,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>21 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,7,8,6,5,4,2,1]=>[7,8,6,5,3,4,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>22 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,8,7,6,5,4,2,1]=>[8,7,6,5,3,4,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>23 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>6 [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[4,3,2,1,5,6,8,7]=>[4,3,2,8,1,5,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>7 [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[4,3,2,1,5,7,6,8]=>[4,3,2,7,1,5,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>7 [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,3,2,1,5,7,8,6]=>[4,3,2,7,8,1,5,6]=>[[1,4,5],[2,7,8],[3],[6]]=>8 [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,3,2,1,5,8,7,6]=>[4,3,8,2,7,1,5,6]=>[[1,3,8],[2,5],[4,7],[6]]=>9 [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,3,2,1,6,5,7,8]=>[4,3,2,6,1,5,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>7 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,3,2,1,6,5,8,7]=>[4,3,2,6,8,1,5,7]=>[[1,4,5],[2,7,8],[3],[6]]=>8 [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[4,3,2,1,6,7,5,8]=>[4,3,2,6,7,1,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>8 [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,3,2,1,6,7,8,5]=>[4,3,2,6,7,8,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>9 [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,3,2,1,6,8,7,5]=>[4,3,8,2,6,7,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>10 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,3,2,1,7,6,5,8]=>[4,3,7,2,6,1,5,8]=>[[1,3,8],[2,5],[4,7],[6]]=>9 [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,2,1,7,6,8,5]=>[4,3,7,2,6,8,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>10 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,2,1,7,8,6,5]=>[4,3,7,8,2,6,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>11 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,8,7,6,5]=>[4,8,3,7,2,6,1,5]=>[[1,2],[3,4],[5,6],[7,8]]=>12 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[4,3,2,5,1,6,7,8]=>[4,3,2,5,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>7 [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[4,3,2,5,1,7,8,6]=>[4,3,2,5,7,8,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>9 [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[4,3,2,5,1,8,7,6]=>[4,3,8,2,5,7,1,6]=>[[1,3,6],[2,5],[4,8],[7]]=>10 [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[4,3,2,5,6,1,7,8]=>[4,3,2,5,6,1,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>8 [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[4,3,2,5,6,1,8,7]=>[4,3,2,5,6,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>9 [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[4,3,2,5,6,7,1,8]=>[4,3,2,5,6,7,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>9 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,8,1]=>[4,3,2,5,6,7,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>10 [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,3,2,5,6,8,7,1]=>[4,3,8,2,5,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>11 [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[4,3,2,5,7,6,1,8]=>[4,3,7,2,5,6,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>10 [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[4,3,2,5,7,6,8,1]=>[4,3,7,2,5,6,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>11 [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,3,2,5,8,7,6,1]=>[4,8,3,7,2,5,6,1]=>[[1,2,7],[3,4],[5,6],[8]]=>13 [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[4,3,2,6,5,1,7,8]=>[4,3,6,2,5,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>9 [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[4,3,2,6,5,7,1,8]=>[4,3,6,2,5,7,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>10 [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[4,3,2,6,5,7,8,1]=>[4,3,6,2,5,7,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>11 [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,3,2,6,8,7,5,1]=>[4,8,3,6,7,2,5,1]=>[[1,2,5],[3,4],[6,7],[8]]=>14 [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,3,2,7,6,5,1,8]=>[4,7,3,6,2,5,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>12 [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,2,7,6,5,8,1]=>[4,7,3,6,2,5,8,1]=>[[1,2,7],[3,4],[5,6],[8]]=>13 [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,2,7,8,6,5,1]=>[4,7,8,3,6,2,5,1]=>[[1,2,3],[4,5],[6,7],[8]]=>15 [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,3,2,8,7,6,5,1]=>[8,4,7,3,6,2,5,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>16 [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[4,3,5,2,1,6,7,8]=>[4,3,5,2,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>8 [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[4,3,5,2,1,6,8,7]=>[4,3,5,2,8,1,6,7]=>[[1,3,5,8],[2,7],[4],[6]]=>9 [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[4,3,5,2,1,7,6,8]=>[4,3,5,2,7,1,6,8]=>[[1,3,5,8],[2,7],[4],[6]]=>9 [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[4,3,5,2,6,1,7,8]=>[4,3,5,2,6,1,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>9 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,3,5,2,6,1,8,7]=>[4,3,5,2,6,8,1,7]=>[[1,3,5,6],[2,8],[4],[7]]=>10 [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[4,3,5,2,6,7,8,1]=>[4,3,5,2,6,7,8,1]=>[[1,3,5,6,7],[2],[4],[8]]=>11 [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[4,3,5,2,7,6,1,8]=>[4,3,5,7,2,6,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>11 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,3,5,2,7,6,8,1]=>[4,3,5,7,2,6,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>12 [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,3,5,2,8,7,6,1]=>[4,8,3,5,7,2,6,1]=>[[1,2,5],[3,4],[6,7],[8]]=>14 [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[4,3,5,6,2,1,8,7]=>[4,3,5,6,2,8,1,7]=>[[1,3,4,6],[2,8],[5],[7]]=>11 [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[4,3,5,6,2,7,1,8]=>[4,3,5,6,2,7,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>11 [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[4,3,5,6,2,7,8,1]=>[4,3,5,6,2,7,8,1]=>[[1,3,4,6,7],[2],[5],[8]]=>12 [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[4,3,5,6,7,2,8,1]=>[4,3,5,6,7,2,8,1]=>[[1,3,4,5,7],[2],[6],[8]]=>13 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[4,3,5,6,7,8,2,1]=>[4,3,5,6,7,8,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>14 [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,3,5,6,8,7,2,1]=>[4,8,3,5,6,7,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>15 [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,3,5,7,6,2,1,8]=>[4,7,3,5,6,2,1,8]=>[[1,2,5,8],[3,4],[6],[7]]=>13 [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[4,3,5,7,6,2,8,1]=>[4,7,3,5,6,2,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>14 [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[4,3,5,7,6,8,2,1]=>[4,7,3,5,6,8,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>15 [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,7,8,6,2,1]=>[4,7,8,3,5,6,2,1]=>[[1,2,3],[4,5,6],[7],[8]]=>16 [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,3,5,8,7,6,2,1]=>[8,4,7,3,5,6,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>17 [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[4,3,6,5,2,1,8,7]=>[4,6,3,5,2,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>12 [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[4,3,6,5,2,7,1,8]=>[4,6,3,5,2,7,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>12 [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,3,6,5,2,8,7,1]=>[4,6,3,5,8,2,7,1]=>[[1,2,5],[3,4,7],[6],[8]]=>14 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,3,6,5,7,2,8,1]=>[4,6,3,5,7,2,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>14 [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[4,3,6,5,7,8,2,1]=>[4,6,3,5,7,8,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>15 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,3,6,5,8,7,2,1]=>[4,6,8,3,5,7,2,1]=>[[1,2,3],[4,5,6],[7],[8]]=>16 [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[4,3,6,7,5,8,2,1]=>[4,6,7,3,5,8,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>16 [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,3,6,7,8,5,2,1]=>[4,6,7,8,3,5,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>17 [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,7,6,5,2,1,8]=>[7,4,6,3,5,2,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>15 [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,7,6,5,2,8,1]=>[7,4,6,3,5,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>16 [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,3,8,7,6,5,2,1]=>[8,7,4,6,3,5,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>20 [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[4,5,3,2,1,6,7,8]=>[4,5,3,2,1,6,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>9 [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[4,5,3,2,1,7,6,8]=>[4,5,3,2,7,1,6,8]=>[[1,2,5,8],[3,7],[4],[6]]=>10 [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[4,5,3,2,1,7,8,6]=>[4,5,3,2,7,8,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>11 [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[4,5,3,2,1,8,7,6]=>[4,5,3,8,2,7,1,6]=>[[1,2,4],[3,6],[5,8],[7]]=>12 [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[4,5,3,2,6,1,7,8]=>[4,5,3,2,6,1,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>10 [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[4,5,3,2,6,7,8,1]=>[4,5,3,2,6,7,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>12 [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[4,5,3,2,7,6,1,8]=>[4,5,3,7,2,6,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>12 [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[4,5,3,2,7,8,6,1]=>[4,5,3,7,8,2,6,1]=>[[1,2,4,5],[3,7],[6],[8]]=>14 [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,5,3,2,8,7,6,1]=>[4,5,8,3,7,2,6,1]=>[[1,2,3],[4,5],[6,7],[8]]=>15 [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[4,5,3,6,2,1,8,7]=>[4,5,3,6,2,8,1,7]=>[[1,2,4,6],[3,8],[5],[7]]=>12 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[4,5,3,6,2,7,1,8]=>[4,5,3,6,2,7,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>12 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[4,5,3,6,2,8,7,1]=>[4,5,3,6,8,2,7,1]=>[[1,2,4,5],[3,7],[6],[8]]=>14 [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[4,5,3,6,7,2,8,1]=>[4,5,3,6,7,2,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>14 [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,5,3,6,8,7,2,1]=>[4,5,8,3,6,7,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>16 [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[4,5,3,7,6,2,8,1]=>[4,5,7,3,6,2,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>15 [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,5,3,7,6,8,2,1]=>[4,5,7,3,6,8,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>16 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,5,3,7,8,6,2,1]=>[4,5,7,8,3,6,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>17 [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,5,3,8,7,6,2,1]=>[8,4,5,7,3,6,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>18 [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[4,5,6,3,2,1,7,8]=>[4,5,6,3,2,1,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>12 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,6,3,2,1,8,7]=>[4,5,6,3,2,8,1,7]=>[[1,2,3,6],[4,8],[5],[7]]=>13 [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[4,5,6,3,2,7,8,1]=>[4,5,6,3,2,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>14 [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[4,5,6,3,2,8,7,1]=>[4,5,6,3,8,2,7,1]=>[[1,2,3,5],[4,7],[6],[8]]=>15 [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[4,5,6,3,7,2,8,1]=>[4,5,6,3,7,2,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>15 [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,6,3,8,7,2,1]=>[4,5,6,8,3,7,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>17 [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[4,5,6,7,3,2,1,8]=>[4,5,6,7,3,2,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>15 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[4,5,6,7,3,2,8,1]=>[4,5,6,7,3,2,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>16 [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[4,5,6,7,3,8,2,1]=>[4,5,6,7,3,8,2,1]=>[[1,2,3,4,6],[5],[7],[8]]=>17 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,8,3,2,1]=>[4,5,6,7,8,3,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>18 [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,6,8,7,3,2,1]=>[8,4,5,6,7,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>19 [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[4,5,7,6,3,2,1,8]=>[7,4,5,6,3,2,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>16 [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[4,5,7,6,3,2,8,1]=>[7,4,5,6,3,2,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>17 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,5,7,6,3,8,2,1]=>[7,4,5,6,3,8,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>18 [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,5,7,6,8,3,2,1]=>[7,4,5,6,8,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>19 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,5,8,7,6,3,2,1]=>[8,7,4,5,6,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>21 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,6,5,3,2,1,8,7]=>[6,4,5,3,2,8,1,7]=>[[1,3,6],[2,8],[4],[5],[7]]=>14 [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,6,5,3,2,8,7,1]=>[6,4,5,3,8,2,7,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>16 [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[4,6,5,3,7,2,8,1]=>[6,4,5,3,7,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>16 [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,6,5,3,8,7,2,1]=>[6,4,5,8,3,7,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>18 [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,6,5,7,3,2,8,1]=>[6,4,5,7,3,2,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>17 [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,6,5,7,3,8,2,1]=>[6,4,5,7,3,8,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>18 [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,6,5,7,8,3,2,1]=>[6,4,5,7,8,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>19 [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[4,6,7,5,3,2,1,8]=>[6,7,4,5,3,2,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>17 [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[4,6,7,5,3,2,8,1]=>[6,7,4,5,3,2,8,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>18 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,6,7,5,3,8,2,1]=>[6,7,4,5,3,8,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>19 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,6,7,5,8,3,2,1]=>[6,7,4,5,8,3,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>20 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,6,8,7,5,3,2,1]=>[8,6,7,4,5,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>22 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,7,6,5,3,2,1,8]=>[7,6,4,5,3,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>18 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,7,6,5,3,2,8,1]=>[7,6,4,5,3,2,8,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>19 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,7,6,5,8,3,2,1]=>[7,6,4,5,8,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>21 [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,7,6,8,5,3,2,1]=>[7,6,8,4,5,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>22 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,7,8,6,5,3,2,1]=>[7,8,6,4,5,3,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>23 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,8,7,6,5,3,2,1]=>[8,7,6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>24 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>10 [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,4,3,2,1,6,8,7]=>[5,4,3,2,8,1,6,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>11 [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,4,3,2,1,7,6,8]=>[5,4,3,2,7,1,6,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>11 [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,4,3,2,1,7,8,6]=>[5,4,3,2,7,8,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>12 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,4,3,2,1,8,7,6]=>[5,4,3,8,2,7,1,6]=>[[1,4],[2,6],[3,8],[5],[7]]=>13 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,4,3,2,6,1,7,8]=>[5,4,3,2,6,1,7,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>11 [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,4,3,2,6,1,8,7]=>[5,4,3,2,6,8,1,7]=>[[1,5,6],[2,8],[3],[4],[7]]=>12 [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,4,3,2,6,7,1,8]=>[5,4,3,2,6,7,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>12 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,7,8,1]=>[5,4,3,2,6,7,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>13 [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,4,3,2,6,8,7,1]=>[5,4,3,8,2,6,7,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>14 [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,4,3,2,7,6,1,8]=>[5,4,3,7,2,6,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>13 [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,4,3,2,7,8,6,1]=>[5,4,3,7,8,2,6,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>15 [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,4,3,2,8,7,6,1]=>[5,4,8,3,7,2,6,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>16 [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,4,3,6,2,1,7,8]=>[5,4,3,6,2,1,7,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>12 [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[5,4,3,6,2,7,1,8]=>[5,4,3,6,2,7,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>13 [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[5,4,3,6,2,7,8,1]=>[5,4,3,6,2,7,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>14 [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[5,4,3,6,7,2,1,8]=>[5,4,3,6,7,2,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>14 [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[5,4,3,6,7,2,8,1]=>[5,4,3,6,7,2,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>15 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[5,4,3,6,7,8,2,1]=>[5,4,3,6,7,8,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>16 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,4,3,7,6,2,1,8]=>[5,4,7,3,6,2,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>15 [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,4,3,7,6,2,8,1]=>[5,4,7,3,6,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>16 [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,4,3,7,6,8,2,1]=>[5,4,7,3,6,8,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>17 [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,4,3,7,8,6,2,1]=>[5,4,7,8,3,6,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>18 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,4,3,8,7,6,2,1]=>[5,8,4,7,3,6,2,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>19 [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,4,6,3,2,1,7,8]=>[5,4,6,3,2,1,7,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>13 [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,4,6,3,2,7,1,8]=>[5,4,6,3,2,7,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>14 [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[5,4,6,3,2,7,8,1]=>[5,4,6,3,2,7,8,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>15 [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,4,6,3,2,8,7,1]=>[5,4,6,3,8,2,7,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>16 [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[5,4,6,3,7,2,1,8]=>[5,4,6,3,7,2,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>15 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,4,6,3,7,2,8,1]=>[5,4,6,3,7,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>16 [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[5,4,6,7,3,2,1,8]=>[5,4,6,7,3,2,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>16 [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,4,6,7,3,8,2,1]=>[5,4,6,7,3,8,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>18 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,4,6,7,8,3,2,1]=>[5,4,6,7,8,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>19 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,4,7,6,3,2,1,8]=>[5,7,4,6,3,2,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>17 [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,4,7,6,3,8,2,1]=>[5,7,4,6,3,8,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>19 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,4,7,6,8,3,2,1]=>[5,7,4,6,8,3,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>20 [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,4,7,8,6,3,2,1]=>[5,7,8,4,6,3,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>21 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,4,8,7,6,3,2,1]=>[8,5,7,4,6,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>22 [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[5,6,4,3,2,1,7,8]=>[5,6,4,3,2,1,7,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>14 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,6,4,3,2,1,8,7]=>[5,6,4,3,2,8,1,7]=>[[1,2,6],[3,8],[4],[5],[7]]=>15 [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[5,6,4,3,2,7,1,8]=>[5,6,4,3,2,7,1,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>15 [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,6,4,3,2,8,7,1]=>[5,6,4,3,8,2,7,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>17 [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[5,6,4,3,7,2,1,8]=>[5,6,4,3,7,2,1,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>16 [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,6,4,3,8,7,2,1]=>[5,6,4,8,3,7,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19 [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,6,4,7,3,2,1,8]=>[5,6,4,7,3,2,1,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>17 [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,6,4,7,8,3,2,1]=>[5,6,4,7,8,3,2,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>20 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,6,4,8,7,3,2,1]=>[5,6,8,4,7,3,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>21 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,6,7,4,3,2,1,8]=>[5,6,7,4,3,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>18 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[5,6,7,4,3,2,8,1]=>[5,6,7,4,3,2,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>19 [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,6,7,4,3,8,2,1]=>[5,6,7,4,3,8,2,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>20 [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,6,7,4,8,3,2,1]=>[5,6,7,4,8,3,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>21 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,8,4,3,2,1]=>[5,6,7,8,4,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>22 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,6,8,7,4,3,2,1]=>[8,5,6,7,4,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>23 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,7,6,4,3,2,1,8]=>[7,5,6,4,3,2,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>19 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,7,6,4,3,2,8,1]=>[7,5,6,4,3,2,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>20 [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,7,6,4,3,8,2,1]=>[7,5,6,4,3,8,2,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>21 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,7,6,4,8,3,2,1]=>[7,5,6,4,8,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>22 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,7,6,8,4,3,2,1]=>[7,5,6,8,4,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>23 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,7,8,6,4,3,2,1]=>[7,8,5,6,4,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>24 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,8,7,6,4,3,2,1]=>[8,7,5,6,4,3,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>25 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>15 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,8,1,7]=>[[1,6],[2,8],[3],[4],[5],[7]]=>16 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,5,4,3,2,7,1,8]=>[6,5,4,3,2,7,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>16 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,5,4,3,2,7,8,1]=>[6,5,4,3,2,7,8,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>17 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,5,4,3,2,8,7,1]=>[6,5,4,3,8,2,7,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>18 [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,5,4,3,7,2,1,8]=>[6,5,4,3,7,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>17 [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,5,4,3,7,2,8,1]=>[6,5,4,3,7,2,8,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>18 [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,5,4,3,7,8,2,1]=>[6,5,4,3,7,8,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>19 [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,5,4,3,8,7,2,1]=>[6,5,4,8,3,7,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>20 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,5,4,7,3,2,1,8]=>[6,5,4,7,3,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>18 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,5,4,7,3,2,8,1]=>[6,5,4,7,3,2,8,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>19 [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,5,4,7,3,8,2,1]=>[6,5,4,7,3,8,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>20 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,5,4,7,8,3,2,1]=>[6,5,4,7,8,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>21 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,5,4,8,7,3,2,1]=>[6,5,8,4,7,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>22 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,5,7,4,3,2,1,8]=>[6,5,7,4,3,2,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>19 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,5,7,4,3,2,8,1]=>[6,5,7,4,3,2,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>20 [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,5,7,4,3,8,2,1]=>[6,5,7,4,3,8,2,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>21 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,5,7,4,8,3,2,1]=>[6,5,7,4,8,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>22 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,5,7,8,4,3,2,1]=>[6,5,7,8,4,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>23 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,5,8,7,4,3,2,1]=>[6,8,5,7,4,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>24 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,7,5,4,3,2,1,8]=>[6,7,5,4,3,2,1,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>20 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,7,5,4,3,2,8,1]=>[6,7,5,4,3,2,8,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>21 [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,7,5,4,3,8,2,1]=>[6,7,5,4,3,8,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>22 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,7,5,4,8,3,2,1]=>[6,7,5,4,8,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>23 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,7,5,8,4,3,2,1]=>[6,7,5,8,4,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>24 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,5,4,3,2,1]=>[6,7,8,5,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>25 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,8,7,5,4,3,2,1]=>[8,6,7,5,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>26 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>21 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,6,5,4,3,2,8,1]=>[7,6,5,4,3,2,8,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>22 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,6,5,4,3,8,2,1]=>[7,6,5,4,3,8,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>23 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,6,5,4,8,3,2,1]=>[7,6,5,4,8,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>24 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,6,5,8,4,3,2,1]=>[7,6,5,8,4,3,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>25 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,6,8,5,4,3,2,1]=>[7,6,8,5,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>26 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,8,6,5,4,3,2,1]=>[7,8,6,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>27 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>28 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>28 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,9,8,7,6,5,4,3,2]=>[9,8,7,6,5,4,3,1,2]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>28 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>36 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[7,8,6,5,4,3,2,1,9]=>[7,8,6,5,4,3,2,1,9]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>27 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,10,9,8,7,6,5,4,3,2]=>[10,9,8,7,6,5,4,3,1,2]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>36 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[8,9,7,6,5,4,3,2,1,10]=>[8,9,7,6,5,4,3,2,1,10]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>35 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,1,9,8,7,6,5,4,3]=>[9,8,7,6,5,2,4,1,3]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>22 [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,3,9,8,7,6,5,4,2]=>[9,8,7,6,5,3,4,1,2]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>22 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>21 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,8,7,6,5,4,3,2,9]=>[8,7,6,5,4,3,1,2,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>21 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,9,8,7,6,5,4,3]=>[9,8,7,6,5,4,1,2,3]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>21 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,10,1,9]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>29 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>[6,7,5,4,3,2,1,8,9]=>[6,7,5,4,3,2,1,8,9]=>[[1,2,8,9],[3],[4],[5],[6],[7]]=>20 [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,1,10,9,8,7,6,5,4,3]=>[10,9,8,7,6,5,2,4,1,3]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>29 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>28 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,9,8,7,6,5,4,3,2,10]=>[9,8,7,6,5,4,3,1,2,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>28 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,10,9,8,7,6,5,4,3]=>[10,9,8,7,6,5,4,1,2,3]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>28 []=>[]=>[]=>[]=>0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,8,9,1]=>[[1,2,3,4,5,6,7,8],[9]]=>8 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,6,7,8,9,5,1]=>[6,7,8,9,2,3,4,5,1]=>[[1,2,3,4],[5,6,7,8],[9]]=>12 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,8,9,3,1]=>[4,5,6,7,8,9,2,3,1]=>[[1,2,3,4,5,6],[7,8],[9]]=>14 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,9,2,1]=>[3,4,5,6,7,8,9,2,1]=>[[1,2,3,4,5,6,7],[8],[9]]=>15 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,8,9,3,2,1]=>[4,5,6,7,8,9,3,2,1]=>[[1,2,3,4,5,6],[7],[8],[9]]=>21 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,8,9,4,3,2,1]=>[5,6,7,8,9,4,3,2,1]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>26 [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,9,5,4,3,2,1]=>[6,7,8,9,5,4,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>30 [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[6,8,9,7,5,4,3,2,1]=>[8,9,6,7,5,4,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8],[9]]=>32 [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[7,6,9,8,5,4,3,2,1]=>[7,9,6,8,5,4,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8],[9]]=>32 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,8,9,6,5,4,3,2,1]=>[7,8,9,6,5,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>33 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,9,7,6,5,4,3,2,1]=>[8,9,7,6,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>35 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>36 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9]]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,9,8]=>[9,1,2,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8,9],[2]]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,8,9,7]=>[8,9,1,2,3,4,5,6,7]=>[[1,2,5,6,7,8,9],[3,4]]=>2 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,5,7,8,9,6]=>[7,8,9,1,2,3,4,5,6]=>[[1,2,3,7,8,9],[4,5,6]]=>3 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,9,5]=>[6,7,8,9,1,2,3,4,5]=>[[1,2,3,4,9],[5,6,7,8]]=>4 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,9,4]=>[5,6,7,8,9,1,2,3,4]=>[[1,2,3,4,5],[6,7,8,9]]=>5 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,9,3]=>[4,5,6,7,8,9,1,2,3]=>[[1,2,3,4,5,6],[7,8,9]]=>6 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,2]=>[3,4,5,6,7,8,9,1,2]=>[[1,2,3,4,5,6,7],[8,9]]=>7 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[[1,2,3,4,5,6,7,8,9,10]]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,8,10,9]=>[10,1,2,3,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9,10],[2]]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,9,8,7]=>[9,8,1,2,3,4,5,6,7]=>[[1,4,5,6,7,8,9],[2],[3]]=>3 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,7,9,10,8]=>[9,10,1,2,3,4,5,6,7,8]=>[[1,2,5,6,7,8,9,10],[3,4]]=>2 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,5,8,7,9,6]=>[8,7,9,1,2,3,4,5,6]=>[[1,3,6,7,8,9],[2,5],[4]]=>4 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,5,6,8,9,10,7]=>[8,9,10,1,2,3,4,5,6,7]=>[[1,2,3,7,8,9,10],[4,5,6]]=>3 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,4,7,6,8,9,5]=>[7,6,8,9,1,2,3,4,5]=>[[1,3,4,8,9],[2,6,7],[5]]=>5 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,5,7,8,9,10,6]=>[7,8,9,10,1,2,3,4,5,6]=>[[1,2,3,4,9,10],[5,6,7,8]]=>4 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,2,3,6,5,7,8,9,4]=>[6,5,7,8,9,1,2,3,4]=>[[1,3,4,5],[2,7,8,9],[6]]=>6 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,9,10,5]=>[6,7,8,9,10,1,2,3,4,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>5 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,9,10,4]=>[5,6,7,8,9,10,1,2,3,4]=>[[1,2,3,4,5,6],[7,8,9,10]]=>6 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,9,10,3]=>[4,5,6,7,8,9,10,1,2,3]=>[[1,2,3,4,5,6,7],[8,9,10]]=>7 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,10,2]=>[3,4,5,6,7,8,9,10,1,2]=>[[1,2,3,4,5,6,7,8],[9,10]]=>8 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,1]=>[2,3,4,5,6,7,8,9,10,1]=>[[1,2,3,4,5,6,7,8,9],[10]]=>9 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,7,10,9,8]=>[10,9,1,2,3,4,5,6,7,8]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>3 [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,5,9,8,7,6]=>[9,8,7,1,2,3,4,5,6]=>[[1,5,6,7,8,9],[2],[3],[4]]=>6 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,4,5,3,6,7,8,9,2]=>[4,5,3,6,7,8,9,1,2]=>[[1,2,4,5,6,7],[3,9],[8]]=>9 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,5,6,10,9,8,7]=>[10,9,8,1,2,3,4,5,6,7]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>6 [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,9,8,7,6,5]=>[9,8,7,6,1,2,3,4,5]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>10 [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5,10,9,8,7,6]=>[10,9,8,7,1,2,3,4,5,6]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>10 [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,9,8,7,6,5,4]=>[9,8,7,6,5,1,2,3,4]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>15 [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,4,10,9,8,7,6,5]=>[10,9,8,7,6,1,2,3,4,5]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>15 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,8,7,9]=>[8,1,2,3,4,5,6,7,9]=>[[1,3,4,5,6,7,8,9],[2]]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,5,7,6,8,9]=>[7,1,2,3,4,5,6,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,5,7,6,9,8]=>[7,9,1,2,3,4,5,6,8]=>[[1,2,5,6,7,8,9],[3,4]]=>2 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,4,6,5,7,8,9]=>[6,1,2,3,4,5,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,3,4,6,5,7,9,8]=>[6,9,1,2,3,4,5,7,8]=>[[1,2,5,6,7,8,9],[3,4]]=>2 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,3,4,6,5,9,8,7]=>[9,6,8,1,2,3,4,5,7]=>[[1,3,6,7,8,9],[2,5],[4]]=>4 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8,9]=>[5,1,2,3,4,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6,9,8]=>[5,7,9,1,2,3,4,6,8]=>[[1,2,3,7,8,9],[4,5,6]]=>3 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8,9]=>[4,1,2,3,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>1 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,4,3,5,6,7,9,8]=>[4,9,1,2,3,5,6,7,8]=>[[1,2,5,6,7,8,9],[3,4]]=>2 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,2,8,7,6,5,4,3,9]=>[8,7,6,5,4,1,2,3,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>15 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,6,7,9,8]=>[3,9,1,2,4,5,6,7,8]=>[[1,2,5,6,7,8,9],[3,4]]=>2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6,9,8]=>[3,5,7,9,1,2,4,6,8]=>[[1,2,3,4,9],[5,6,7,8]]=>4 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7,8,9]=>[4,3,1,2,5,6,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>3 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,7,9,8]=>[2,9,1,3,4,5,6,7,8]=>[[1,2,5,6,7,8,9],[3,4]]=>2 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,5,6,8,7,9]=>[2,8,1,3,4,5,6,7,9]=>[[1,2,5,6,7,8,9],[3,4]]=>2 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8,9]=>[2,4,1,3,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3,4]]=>2 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,8,7,9]=>[2,4,6,8,1,3,5,7,9]=>[[1,2,3,4,9],[5,6,7,8]]=>4 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,6,5,9,8,7]=>[9,2,4,6,8,1,3,5,7]=>[[1,3,4,5],[2,7,8,9],[6]]=>6 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>3 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,6,7,9,8]=>[3,2,9,1,4,5,6,7,8]=>[[1,3,6,7,8,9],[2,5],[4]]=>4 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[[1,5,6,7,8,9],[2],[3],[4]]=>6 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>10 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>15 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,7,9,8,10]=>[9,1,2,3,4,5,6,7,8,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,5,6,8,7,9,10]=>[8,1,2,3,4,5,6,7,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,5,6,8,7,10,9]=>[8,10,1,2,3,4,5,6,7,9]=>[[1,2,5,6,7,8,9,10],[3,4]]=>2 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,4,5,7,6,8,9,10]=>[7,1,2,3,4,5,6,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,6,5,7,8,9,10]=>[6,1,2,3,4,5,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>1 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8,9,10]=>[5,1,2,3,4,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>1 [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,10,9,8,7,6,5,4]=>[10,9,8,7,6,5,1,2,3,4]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>21 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8,9,10]=>[4,1,2,3,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9,10]=>[3,1,2,4,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,6,7,8,10,9]=>[3,10,1,2,4,5,6,7,8,9]=>[[1,2,5,6,7,8,9,10],[3,4]]=>2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,9,8,10]=>[3,5,7,9,1,2,4,6,8,10]=>[[1,2,3,4,9,10],[5,6,7,8]]=>4 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,5,4,7,6,10,9,8]=>[10,3,5,7,9,1,2,4,6,8]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>6 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,7,8,10,9]=>[2,10,1,3,4,5,6,7,8,9]=>[[1,2,5,6,7,8,9,10],[3,4]]=>2 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7,10,9]=>[2,4,6,8,10,1,3,5,7,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>5 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,5,4,3,10,9,8,7]=>[6,10,5,9,2,4,8,1,3,7]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>13 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[2,1,8,7,6,5,4,3,10,9]=>[8,7,6,5,2,4,10,1,3,9]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>17 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>3 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>6 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[4,3,2,1,6,5,8,7,10,9]=>[4,3,2,6,8,10,1,5,7,9]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>9 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,6,5,10,9,8,7]=>[4,10,3,9,2,6,8,1,5,7]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>13 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[4,3,2,1,8,7,6,5,10,9]=>[4,8,3,7,2,6,10,1,5,9]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>13 [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,3,2,1,10,9,8,7,6,5]=>[10,9,4,8,3,7,2,6,1,5]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>21 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>10 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>15 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,10,3,9,2,8,1,7]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>21 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>21 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>45 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3]]=>2 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10]=>[[1,2,4,5,6,7,8,9,10],[3]]=>2 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8,9,10]=>[2,3,4,1,5,6,7,8,9,10]=>[[1,2,3,5,6,7,8,9,10],[4]]=>3 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8,9,10]=>[2,3,4,5,1,6,7,8,9,10]=>[[1,2,3,4,6,7,8,9,10],[5]]=>4 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,6,1,7,8,9,10]=>[2,3,4,5,6,1,7,8,9,10]=>[[1,2,3,4,5,7,8,9,10],[6]]=>5 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,6,7,1,8,9,10]=>[2,3,4,5,6,7,1,8,9,10]=>[[1,2,3,4,5,6,8,9,10],[7]]=>6 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,7,8,1,9,10]=>[2,3,4,5,6,7,8,1,9,10]=>[[1,2,3,4,5,6,7,9,10],[8]]=>7 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,9,1,10]=>[2,3,4,5,6,7,8,9,1,10]=>[[1,2,3,4,5,6,7,8,10],[9]]=>8 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,5,6,8,9,7]=>[2,8,9,1,3,4,5,6,7]=>[[1,2,3,7,8,9],[4,5,6]]=>3 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,5,6,7,9,10,8]=>[2,9,10,1,3,4,5,6,7,8]=>[[1,2,3,7,8,9,10],[4,5,6]]=>3 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,4,2,1,5,6,7,8,9]=>[3,4,2,1,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3],[4]]=>5 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,10,8,7,6,5,4,3,2,1]=>[9,10,8,7,6,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>44 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,8,9,10,3,1]=>[4,5,6,7,8,9,10,2,3,1]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>16 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,7,1,9,8]=>[2,3,4,5,6,7,9,1,8]=>[[1,2,3,4,5,6,7],[8,9]]=>7 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,9,3]=>[2,4,5,6,7,8,9,1,3]=>[[1,2,3,4,5,6,7],[8,9]]=>7 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,8,9,10,3,2,1]=>[4,5,6,7,8,9,10,3,2,1]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>24 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,3,4,6,7,8,5,9]=>[6,7,8,1,2,3,4,5,9]=>[[1,2,3,7,8,9],[4,5,6]]=>3 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,6,5,7,8,9]=>[2,3,4,6,1,5,7,8,9]=>[[1,2,3,4,7,8,9],[5,6]]=>4 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6,9,8]=>[2,3,5,7,9,1,4,6,8]=>[[1,2,3,4,5],[6,7,8,9]]=>5 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,5,7,8,9,6]=>[2,3,4,7,8,9,1,5,6]=>[[1,2,3,4,5,6],[7,8,9]]=>6 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,9,10,2,1]=>[3,4,5,6,7,8,9,10,2,1]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>17 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,3,5,7,9,10,8,6,4,2]=>[9,10,7,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>20 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,3,5,7,9,11,12,10,8,6,4,2]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>30 [1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,4,9,8,7,6,5,3]=>[9,8,7,6,4,5,1,2,3]=>[[1,6,9],[2,8],[3],[4],[5],[7]]=>16 [1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,3,5,9,8,7,6,4]=>[9,8,7,5,6,1,2,3,4]=>[[1,5,8,9],[2,7],[3],[4],[6]]=>11 [1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3,4,6,9,8,7,5]=>[9,8,6,7,1,2,3,4,5]=>[[1,4,7,8,9],[2,6],[3],[5]]=>7 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,5,7,9,8,6]=>[9,7,8,1,2,3,4,5,6]=>[[1,3,6,7,8,9],[2,5],[4]]=>4 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,8,9,10,4,3,2,1]=>[5,6,7,8,9,10,4,3,2,1]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>30 [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,6,4,3,2,1,7,8,9]=>[5,6,4,3,2,1,7,8,9]=>[[1,2,7,8,9],[3],[4],[5],[6]]=>14 [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,5,3,2,1,6,7,8,9]=>[4,5,3,2,1,6,7,8,9]=>[[1,2,6,7,8,9],[3],[4],[5]]=>9 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8,9]=>[3,4,1,2,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3,4]]=>2 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,9,10,3]=>[2,4,5,6,7,8,9,10,1,3]=>[[1,2,3,4,5,6,7,8],[9,10]]=>8 [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,8,9,4]=>[2,3,5,6,7,8,9,1,4]=>[[1,2,3,4,5,6,7],[8,9]]=>7 [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[8,9,10,7,6,5,4,3,2,1]=>[8,9,10,7,6,5,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>42 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,5,6,1,8,9,10,7]=>[2,3,4,5,6,8,9,10,1,7]=>[[1,2,3,4,5,6,7,8],[9,10]]=>8 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,4,5,7,8,6,9]=>[7,8,1,2,3,4,5,6,9]=>[[1,2,5,6,7,8,9],[3,4]]=>2 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,4,5,6,8,9,7,10]=>[8,9,1,2,3,4,5,6,7,10]=>[[1,2,5,6,7,8,9,10],[3,4]]=>2 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,6,7,2,9,8]=>[3,4,5,6,7,9,1,2,8]=>[[1,2,3,4,5,6],[7,8,9]]=>6 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,6,7,8,2,9,10]=>[3,4,5,6,7,8,1,2,9,10]=>[[1,2,3,4,5,6,9,10],[7,8]]=>6 [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,9,10,5,4,3,2,1]=>[6,7,8,9,10,5,4,3,2,1]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>35 [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,8,9,10,6,5,4,3,2,1]=>[7,8,9,10,6,5,4,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>39 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,5,6,2,8,9,7]=>[3,4,5,6,8,9,1,2,7]=>[[1,2,3,4,5,6],[7,8,9]]=>6 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,8,9,4]=>[2,5,6,7,8,9,1,3,4]=>[[1,2,3,4,5,6],[7,8,9]]=>6 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,4,2,1,5,6,7,8,9,10]=>[3,4,2,1,5,6,7,8,9,10]=>[[1,2,5,6,7,8,9,10],[3],[4]]=>5 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,7,8,1,10,9]=>[2,3,4,5,6,7,8,10,1,9]=>[[1,2,3,4,5,6,7,8],[9,10]]=>8 [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,6,4,3,2,1,7,8,9,10]=>[5,6,4,3,2,1,7,8,9,10]=>[[1,2,7,8,9,10],[3],[4],[5],[6]]=>14 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[6,7,5,4,3,2,1,8,9,10]=>[6,7,5,4,3,2,1,8,9,10]=>[[1,2,8,9,10],[3],[4],[5],[6],[7]]=>20 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,4,1,6,7,8,9,5]=>[2,3,4,6,7,8,9,1,5]=>[[1,2,3,4,5,6,7],[8,9]]=>7 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,6,9,10,8]=>[3,5,7,9,10,1,2,4,6,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>5 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,4,3,6,7,8,9,5]=>[2,4,6,7,8,9,1,3,5]=>[[1,2,3,4,5,6],[7,8,9]]=>6 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,8,9,4]=>[3,5,6,7,8,9,1,2,4]=>[[1,2,3,4,5,6],[7,8,9]]=>6 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>6 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,4,2,6,5,8,7,10,9]=>[3,4,6,8,10,1,2,5,7,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>5 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[3,4,2,1,6,5,9,10,8,7]=>[3,4,9,10,2,6,8,1,5,7]=>[[1,2,3,4],[5,6,7],[8,9,10]]=>11 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6,9,8]=>[2,3,4,5,7,9,1,6,8]=>[[1,2,3,4,5,6],[7,8,9]]=>6 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,6,9,8,11,12,10]=>[3,5,7,9,11,12,1,2,4,6,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>6