=>

[1]=>[1]=>[1]=>[[1]]=>0 [1,2]=>[1,2]=>[2,1]=>[[1],[2]]=>0 [2,1]=>[2,1]=>[1,2]=>[[1,2]]=>1 [1,2,3]=>[1,2,3]=>[3,2,1]=>[[1],[2],[3]]=>0 [1,3,2]=>[3,1,2]=>[2,1,3]=>[[1,3],[2]]=>1 [2,1,3]=>[2,1,3]=>[3,1,2]=>[[1,3],[2]]=>1 [2,3,1]=>[2,3,1]=>[1,3,2]=>[[1,2],[3]]=>2 [3,1,2]=>[1,3,2]=>[2,3,1]=>[[1,2],[3]]=>2 [3,2,1]=>[3,2,1]=>[1,2,3]=>[[1,2,3]]=>3 [1,2,3,4]=>[1,2,3,4]=>[4,3,2,1]=>[[1],[2],[3],[4]]=>0 [1,2,4,3]=>[4,1,2,3]=>[3,2,1,4]=>[[1,4],[2],[3]]=>1 [1,3,2,4]=>[3,1,2,4]=>[4,2,1,3]=>[[1,4],[2],[3]]=>1 [1,3,4,2]=>[3,4,1,2]=>[2,1,4,3]=>[[1,3],[2,4]]=>2 [1,4,2,3]=>[1,4,2,3]=>[3,2,4,1]=>[[1,3],[2],[4]]=>2 [1,4,3,2]=>[4,3,1,2]=>[2,1,3,4]=>[[1,3,4],[2]]=>3 [2,1,3,4]=>[2,1,3,4]=>[4,3,1,2]=>[[1,4],[2],[3]]=>1 [2,1,4,3]=>[2,4,1,3]=>[3,1,4,2]=>[[1,3],[2,4]]=>2 [2,3,1,4]=>[2,3,1,4]=>[4,1,3,2]=>[[1,3],[2],[4]]=>2 [2,3,4,1]=>[2,3,4,1]=>[1,4,3,2]=>[[1,2],[3],[4]]=>3 [2,4,1,3]=>[4,2,1,3]=>[3,1,2,4]=>[[1,3,4],[2]]=>3 [2,4,3,1]=>[4,2,3,1]=>[1,3,2,4]=>[[1,2,4],[3]]=>4 [3,1,2,4]=>[1,3,2,4]=>[4,2,3,1]=>[[1,3],[2],[4]]=>2 [3,1,4,2]=>[1,3,4,2]=>[2,4,3,1]=>[[1,2],[3],[4]]=>3 [3,2,1,4]=>[3,2,1,4]=>[4,1,2,3]=>[[1,3,4],[2]]=>3 [3,2,4,1]=>[3,2,4,1]=>[1,4,2,3]=>[[1,2,4],[3]]=>4 [3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>[[1,2],[3,4]]=>4 [3,4,2,1]=>[3,4,2,1]=>[1,2,4,3]=>[[1,2,3],[4]]=>5 [4,1,2,3]=>[1,2,4,3]=>[3,4,2,1]=>[[1,2],[3],[4]]=>3 [4,1,3,2]=>[4,1,3,2]=>[2,3,1,4]=>[[1,2,4],[3]]=>4 [4,2,1,3]=>[2,1,4,3]=>[3,4,1,2]=>[[1,2],[3,4]]=>4 [4,2,3,1]=>[2,4,3,1]=>[1,3,4,2]=>[[1,2,3],[4]]=>5 [4,3,1,2]=>[1,4,3,2]=>[2,3,4,1]=>[[1,2,3],[4]]=>5 [4,3,2,1]=>[4,3,2,1]=>[1,2,3,4]=>[[1,2,3,4]]=>6 [1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[[1],[2],[3],[4],[5]]=>0 [1,2,3,5,4]=>[5,1,2,3,4]=>[4,3,2,1,5]=>[[1,5],[2],[3],[4]]=>1 [1,2,4,3,5]=>[4,1,2,3,5]=>[5,3,2,1,4]=>[[1,5],[2],[3],[4]]=>1 [1,2,4,5,3]=>[4,5,1,2,3]=>[3,2,1,5,4]=>[[1,4],[2,5],[3]]=>2 [1,2,5,3,4]=>[1,5,2,3,4]=>[4,3,2,5,1]=>[[1,4],[2],[3],[5]]=>2 [1,2,5,4,3]=>[5,4,1,2,3]=>[3,2,1,4,5]=>[[1,4,5],[2],[3]]=>3 [1,3,2,4,5]=>[3,1,2,4,5]=>[5,4,2,1,3]=>[[1,5],[2],[3],[4]]=>1 [1,3,2,5,4]=>[3,5,1,2,4]=>[4,2,1,5,3]=>[[1,4],[2,5],[3]]=>2 [1,3,4,2,5]=>[3,4,1,2,5]=>[5,2,1,4,3]=>[[1,4],[2,5],[3]]=>2 [1,3,4,5,2]=>[3,4,5,1,2]=>[2,1,5,4,3]=>[[1,3],[2,4],[5]]=>3 [1,3,5,2,4]=>[5,3,1,2,4]=>[4,2,1,3,5]=>[[1,4,5],[2],[3]]=>3 [1,3,5,4,2]=>[5,3,4,1,2]=>[2,1,4,3,5]=>[[1,3,5],[2,4]]=>4 [1,4,2,3,5]=>[1,4,2,3,5]=>[5,3,2,4,1]=>[[1,4],[2],[3],[5]]=>2 [1,4,2,5,3]=>[1,4,5,2,3]=>[3,2,5,4,1]=>[[1,3],[2,4],[5]]=>3 [1,4,3,2,5]=>[4,3,1,2,5]=>[5,2,1,3,4]=>[[1,4,5],[2],[3]]=>3 [1,4,3,5,2]=>[4,3,5,1,2]=>[2,1,5,3,4]=>[[1,3,5],[2,4]]=>4 [1,4,5,2,3]=>[4,1,5,2,3]=>[3,2,5,1,4]=>[[1,3],[2,5],[4]]=>4 [1,4,5,3,2]=>[4,5,3,1,2]=>[2,1,3,5,4]=>[[1,3,4],[2,5]]=>5 [1,5,2,3,4]=>[1,2,5,3,4]=>[4,3,5,2,1]=>[[1,3],[2],[4],[5]]=>3 [1,5,2,4,3]=>[5,1,4,2,3]=>[3,2,4,1,5]=>[[1,3,5],[2],[4]]=>4 [1,5,3,2,4]=>[5,1,3,2,4]=>[4,2,3,1,5]=>[[1,3,5],[2],[4]]=>4 [1,5,3,4,2]=>[3,5,4,1,2]=>[2,1,4,5,3]=>[[1,3,4],[2,5]]=>5 [1,5,4,2,3]=>[1,5,4,2,3]=>[3,2,4,5,1]=>[[1,3,4],[2],[5]]=>5 [1,5,4,3,2]=>[5,4,3,1,2]=>[2,1,3,4,5]=>[[1,3,4,5],[2]]=>6 [2,1,3,4,5]=>[2,1,3,4,5]=>[5,4,3,1,2]=>[[1,5],[2],[3],[4]]=>1 [2,1,3,5,4]=>[2,5,1,3,4]=>[4,3,1,5,2]=>[[1,4],[2,5],[3]]=>2 [2,1,4,3,5]=>[2,4,1,3,5]=>[5,3,1,4,2]=>[[1,4],[2,5],[3]]=>2 [2,1,4,5,3]=>[2,4,5,1,3]=>[3,1,5,4,2]=>[[1,3],[2,4],[5]]=>3 [2,1,5,3,4]=>[5,2,1,3,4]=>[4,3,1,2,5]=>[[1,4,5],[2],[3]]=>3 [2,1,5,4,3]=>[5,2,4,1,3]=>[3,1,4,2,5]=>[[1,3,5],[2,4]]=>4 [2,3,1,4,5]=>[2,3,1,4,5]=>[5,4,1,3,2]=>[[1,4],[2],[3],[5]]=>2 [2,3,1,5,4]=>[2,3,5,1,4]=>[4,1,5,3,2]=>[[1,3],[2,4],[5]]=>3 [2,3,4,1,5]=>[2,3,4,1,5]=>[5,1,4,3,2]=>[[1,3],[2],[4],[5]]=>3 [2,3,4,5,1]=>[2,3,4,5,1]=>[1,5,4,3,2]=>[[1,2],[3],[4],[5]]=>4 [2,3,5,1,4]=>[5,2,3,1,4]=>[4,1,3,2,5]=>[[1,3,5],[2],[4]]=>4 [2,3,5,4,1]=>[5,2,3,4,1]=>[1,4,3,2,5]=>[[1,2,5],[3],[4]]=>5 [2,4,1,3,5]=>[4,2,1,3,5]=>[5,3,1,2,4]=>[[1,4,5],[2],[3]]=>3 [2,4,1,5,3]=>[4,2,5,1,3]=>[3,1,5,2,4]=>[[1,3,5],[2,4]]=>4 [2,4,3,1,5]=>[4,2,3,1,5]=>[5,1,3,2,4]=>[[1,3,5],[2],[4]]=>4 [2,4,3,5,1]=>[4,2,3,5,1]=>[1,5,3,2,4]=>[[1,2,5],[3],[4]]=>5 [2,4,5,1,3]=>[4,5,2,1,3]=>[3,1,2,5,4]=>[[1,3,4],[2,5]]=>5 [2,4,5,3,1]=>[4,5,2,3,1]=>[1,3,2,5,4]=>[[1,2,4],[3,5]]=>6 [2,5,1,3,4]=>[2,1,5,3,4]=>[4,3,5,1,2]=>[[1,3],[2,5],[4]]=>4 [2,5,1,4,3]=>[2,5,4,1,3]=>[3,1,4,5,2]=>[[1,3,4],[2,5]]=>5 [2,5,3,1,4]=>[2,5,3,1,4]=>[4,1,3,5,2]=>[[1,3,4],[2],[5]]=>5 [2,5,3,4,1]=>[2,5,3,4,1]=>[1,4,3,5,2]=>[[1,2,4],[3],[5]]=>6 [2,5,4,1,3]=>[5,4,2,1,3]=>[3,1,2,4,5]=>[[1,3,4,5],[2]]=>6 [2,5,4,3,1]=>[5,4,2,3,1]=>[1,3,2,4,5]=>[[1,2,4,5],[3]]=>7 [3,1,2,4,5]=>[1,3,2,4,5]=>[5,4,2,3,1]=>[[1,4],[2],[3],[5]]=>2 [3,1,2,5,4]=>[1,3,5,2,4]=>[4,2,5,3,1]=>[[1,3],[2,4],[5]]=>3 [3,1,4,2,5]=>[1,3,4,2,5]=>[5,2,4,3,1]=>[[1,3],[2],[4],[5]]=>3 [3,1,4,5,2]=>[1,3,4,5,2]=>[2,5,4,3,1]=>[[1,2],[3],[4],[5]]=>4 [3,1,5,2,4]=>[3,1,5,2,4]=>[4,2,5,1,3]=>[[1,3],[2,5],[4]]=>4 [3,1,5,4,2]=>[5,1,3,4,2]=>[2,4,3,1,5]=>[[1,2,5],[3],[4]]=>5 [3,2,1,4,5]=>[3,2,1,4,5]=>[5,4,1,2,3]=>[[1,4,5],[2],[3]]=>3 [3,2,1,5,4]=>[3,2,5,1,4]=>[4,1,5,2,3]=>[[1,3,5],[2,4]]=>4 [3,2,4,1,5]=>[3,2,4,1,5]=>[5,1,4,2,3]=>[[1,3,5],[2],[4]]=>4 [3,2,4,5,1]=>[3,2,4,5,1]=>[1,5,4,2,3]=>[[1,2,5],[3],[4]]=>5 [3,2,5,1,4]=>[3,5,2,1,4]=>[4,1,2,5,3]=>[[1,3,4],[2,5]]=>5 [3,2,5,4,1]=>[3,5,2,4,1]=>[1,4,2,5,3]=>[[1,2,4],[3,5]]=>6 [3,4,1,2,5]=>[3,1,4,2,5]=>[5,2,4,1,3]=>[[1,3],[2,5],[4]]=>4 [3,4,1,5,2]=>[3,1,4,5,2]=>[2,5,4,1,3]=>[[1,2],[3,5],[4]]=>5 [3,4,2,1,5]=>[3,4,2,1,5]=>[5,1,2,4,3]=>[[1,3,4],[2],[5]]=>5 [3,4,2,5,1]=>[3,4,2,5,1]=>[1,5,2,4,3]=>[[1,2,4],[3],[5]]=>6 [3,4,5,1,2]=>[3,4,1,5,2]=>[2,5,1,4,3]=>[[1,2],[3,4],[5]]=>6 [3,4,5,2,1]=>[3,4,5,2,1]=>[1,2,5,4,3]=>[[1,2,3],[4],[5]]=>7 [3,5,1,2,4]=>[1,5,3,2,4]=>[4,2,3,5,1]=>[[1,3,4],[2],[5]]=>5 [3,5,1,4,2]=>[3,5,1,4,2]=>[2,4,1,5,3]=>[[1,2,4],[3,5]]=>6 [3,5,2,1,4]=>[5,3,2,1,4]=>[4,1,2,3,5]=>[[1,3,4,5],[2]]=>6 [3,5,2,4,1]=>[5,3,2,4,1]=>[1,4,2,3,5]=>[[1,2,4,5],[3]]=>7 [3,5,4,1,2]=>[5,3,1,4,2]=>[2,4,1,3,5]=>[[1,2,5],[3,4]]=>7 [3,5,4,2,1]=>[5,3,4,2,1]=>[1,2,4,3,5]=>[[1,2,3,5],[4]]=>8 [4,1,2,3,5]=>[1,2,4,3,5]=>[5,3,4,2,1]=>[[1,3],[2],[4],[5]]=>3 [4,1,2,5,3]=>[1,2,4,5,3]=>[3,5,4,2,1]=>[[1,2],[3],[4],[5]]=>4 [4,1,3,2,5]=>[4,1,3,2,5]=>[5,2,3,1,4]=>[[1,3,5],[2],[4]]=>4 [4,1,3,5,2]=>[4,1,3,5,2]=>[2,5,3,1,4]=>[[1,2,5],[3],[4]]=>5 [4,1,5,2,3]=>[4,1,2,5,3]=>[3,5,2,1,4]=>[[1,2],[3,5],[4]]=>5 [4,1,5,3,2]=>[4,5,1,3,2]=>[2,3,1,5,4]=>[[1,2,4],[3,5]]=>6 [4,2,1,3,5]=>[2,1,4,3,5]=>[5,3,4,1,2]=>[[1,3],[2,5],[4]]=>4 [4,2,1,5,3]=>[2,1,4,5,3]=>[3,5,4,1,2]=>[[1,2],[3,5],[4]]=>5 [4,2,3,1,5]=>[2,4,3,1,5]=>[5,1,3,4,2]=>[[1,3,4],[2],[5]]=>5 [4,2,3,5,1]=>[2,4,3,5,1]=>[1,5,3,4,2]=>[[1,2,4],[3],[5]]=>6 [4,2,5,1,3]=>[2,4,1,5,3]=>[3,5,1,4,2]=>[[1,2],[3,4],[5]]=>6 [4,2,5,3,1]=>[2,4,5,3,1]=>[1,3,5,4,2]=>[[1,2,3],[4],[5]]=>7 [4,3,1,2,5]=>[1,4,3,2,5]=>[5,2,3,4,1]=>[[1,3,4],[2],[5]]=>5 [4,3,1,5,2]=>[1,4,3,5,2]=>[2,5,3,4,1]=>[[1,2,4],[3],[5]]=>6 [4,3,2,1,5]=>[4,3,2,1,5]=>[5,1,2,3,4]=>[[1,3,4,5],[2]]=>6 [4,3,2,5,1]=>[4,3,2,5,1]=>[1,5,2,3,4]=>[[1,2,4,5],[3]]=>7 [4,3,5,1,2]=>[4,3,1,5,2]=>[2,5,1,3,4]=>[[1,2,5],[3,4]]=>7 [4,3,5,2,1]=>[4,3,5,2,1]=>[1,2,5,3,4]=>[[1,2,3,5],[4]]=>8 [4,5,1,2,3]=>[1,4,2,5,3]=>[3,5,2,4,1]=>[[1,2],[3,4],[5]]=>6 [4,5,1,3,2]=>[1,4,5,3,2]=>[2,3,5,4,1]=>[[1,2,3],[4],[5]]=>7 [4,5,2,1,3]=>[4,2,1,5,3]=>[3,5,1,2,4]=>[[1,2,5],[3,4]]=>7 [4,5,2,3,1]=>[4,2,5,3,1]=>[1,3,5,2,4]=>[[1,2,3],[4,5]]=>8 [4,5,3,1,2]=>[4,1,5,3,2]=>[2,3,5,1,4]=>[[1,2,3],[4,5]]=>8 [4,5,3,2,1]=>[4,5,3,2,1]=>[1,2,3,5,4]=>[[1,2,3,4],[5]]=>9 [5,1,2,3,4]=>[1,2,3,5,4]=>[4,5,3,2,1]=>[[1,2],[3],[4],[5]]=>4 [5,1,2,4,3]=>[5,1,2,4,3]=>[3,4,2,1,5]=>[[1,2,5],[3],[4]]=>5 [5,1,3,2,4]=>[3,1,2,5,4]=>[4,5,2,1,3]=>[[1,2],[3,5],[4]]=>5 [5,1,3,4,2]=>[1,5,3,4,2]=>[2,4,3,5,1]=>[[1,2,4],[3],[5]]=>6 [5,1,4,2,3]=>[1,5,2,4,3]=>[3,4,2,5,1]=>[[1,2,4],[3],[5]]=>6 [5,1,4,3,2]=>[5,4,1,3,2]=>[2,3,1,4,5]=>[[1,2,4,5],[3]]=>7 [5,2,1,3,4]=>[2,1,3,5,4]=>[4,5,3,1,2]=>[[1,2],[3,5],[4]]=>5 [5,2,1,4,3]=>[2,5,1,4,3]=>[3,4,1,5,2]=>[[1,2,4],[3,5]]=>6 [5,2,3,1,4]=>[2,3,1,5,4]=>[4,5,1,3,2]=>[[1,2],[3,4],[5]]=>6 [5,2,3,4,1]=>[2,3,5,4,1]=>[1,4,5,3,2]=>[[1,2,3],[4],[5]]=>7 [5,2,4,1,3]=>[5,2,1,4,3]=>[3,4,1,2,5]=>[[1,2,5],[3,4]]=>7 [5,2,4,3,1]=>[5,2,4,3,1]=>[1,3,4,2,5]=>[[1,2,3,5],[4]]=>8 [5,3,1,2,4]=>[1,3,2,5,4]=>[4,5,2,3,1]=>[[1,2],[3,4],[5]]=>6 [5,3,1,4,2]=>[1,3,5,4,2]=>[2,4,5,3,1]=>[[1,2,3],[4],[5]]=>7 [5,3,2,1,4]=>[3,2,1,5,4]=>[4,5,1,2,3]=>[[1,2,5],[3,4]]=>7 [5,3,2,4,1]=>[3,2,5,4,1]=>[1,4,5,2,3]=>[[1,2,3],[4,5]]=>8 [5,3,4,1,2]=>[3,1,5,4,2]=>[2,4,5,1,3]=>[[1,2,3],[4,5]]=>8 [5,3,4,2,1]=>[3,5,4,2,1]=>[1,2,4,5,3]=>[[1,2,3,4],[5]]=>9 [5,4,1,2,3]=>[1,2,5,4,3]=>[3,4,5,2,1]=>[[1,2,3],[4],[5]]=>7 [5,4,1,3,2]=>[5,1,4,3,2]=>[2,3,4,1,5]=>[[1,2,3,5],[4]]=>8 [5,4,2,1,3]=>[2,1,5,4,3]=>[3,4,5,1,2]=>[[1,2,3],[4,5]]=>8 [5,4,2,3,1]=>[2,5,4,3,1]=>[1,3,4,5,2]=>[[1,2,3,4],[5]]=>9 [5,4,3,1,2]=>[1,5,4,3,2]=>[2,3,4,5,1]=>[[1,2,3,4],[5]]=>9 [5,4,3,2,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[[1,2,3,4,5]]=>10 [1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6]]=>0 [1,2,3,4,6,5]=>[6,1,2,3,4,5]=>[5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5]]=>1 [1,2,3,5,4,6]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>[[1,6],[2],[3],[4],[5]]=>1 [1,2,3,5,6,4]=>[5,6,1,2,3,4]=>[4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4]]=>2 [1,2,3,6,4,5]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[[1,5],[2],[3],[4],[6]]=>2 [1,2,3,6,5,4]=>[6,5,1,2,3,4]=>[4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4]]=>3 [1,2,4,3,5,6]=>[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>[[1,6],[2],[3],[4],[5]]=>1 [1,2,4,3,6,5]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>[[1,5],[2,6],[3],[4]]=>2 [1,2,4,5,3,6]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>[[1,5],[2,6],[3],[4]]=>2 [1,2,4,5,6,3]=>[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[[1,4],[2,5],[3,6]]=>3 [1,2,4,6,3,5]=>[6,4,1,2,3,5]=>[5,3,2,1,4,6]=>[[1,5,6],[2],[3],[4]]=>3 [1,2,4,6,5,3]=>[6,4,5,1,2,3]=>[3,2,1,5,4,6]=>[[1,4,6],[2,5],[3]]=>4 [1,2,5,3,4,6]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[[1,5],[2],[3],[4],[6]]=>2 [1,2,5,3,6,4]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[[1,4],[2,5],[3],[6]]=>3 [1,2,5,4,3,6]=>[5,4,1,2,3,6]=>[6,3,2,1,4,5]=>[[1,5,6],[2],[3],[4]]=>3 [1,2,5,4,6,3]=>[5,4,6,1,2,3]=>[3,2,1,6,4,5]=>[[1,4,6],[2,5],[3]]=>4 [1,2,5,6,3,4]=>[5,1,6,2,3,4]=>[4,3,2,6,1,5]=>[[1,4],[2,6],[3],[5]]=>4 [1,2,5,6,4,3]=>[5,6,4,1,2,3]=>[3,2,1,4,6,5]=>[[1,4,5],[2,6],[3]]=>5 [1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[[1,4],[2],[3],[5],[6]]=>3 [1,2,6,3,5,4]=>[6,1,5,2,3,4]=>[4,3,2,5,1,6]=>[[1,4,6],[2],[3],[5]]=>4 [1,2,6,4,3,5]=>[6,1,4,2,3,5]=>[5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5]]=>4 [1,2,6,4,5,3]=>[4,6,5,1,2,3]=>[3,2,1,5,6,4]=>[[1,4,5],[2,6],[3]]=>5 [1,2,6,5,3,4]=>[1,6,5,2,3,4]=>[4,3,2,5,6,1]=>[[1,4,5],[2],[3],[6]]=>5 [1,2,6,5,4,3]=>[6,5,4,1,2,3]=>[3,2,1,4,5,6]=>[[1,4,5,6],[2],[3]]=>6 [1,3,2,4,5,6]=>[3,1,2,4,5,6]=>[6,5,4,2,1,3]=>[[1,6],[2],[3],[4],[5]]=>1 [1,3,2,4,6,5]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>[[1,5],[2,6],[3],[4]]=>2 [1,3,2,5,4,6]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>[[1,5],[2,6],[3],[4]]=>2 [1,3,2,5,6,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>[[1,4],[2,5],[3,6]]=>3 [1,3,2,6,4,5]=>[6,3,1,2,4,5]=>[5,4,2,1,3,6]=>[[1,5,6],[2],[3],[4]]=>3 [1,3,2,6,5,4]=>[6,3,5,1,2,4]=>[4,2,1,5,3,6]=>[[1,4,6],[2,5],[3]]=>4 [1,3,4,2,5,6]=>[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>[[1,5],[2,6],[3],[4]]=>2 [1,3,4,2,6,5]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>[[1,4],[2,5],[3,6]]=>3 [1,3,4,5,2,6]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>[[1,4],[2,5],[3],[6]]=>3 [1,3,4,5,6,2]=>[3,4,5,6,1,2]=>[2,1,6,5,4,3]=>[[1,3],[2,4],[5],[6]]=>4 [1,3,4,6,2,5]=>[6,3,4,1,2,5]=>[5,2,1,4,3,6]=>[[1,4,6],[2,5],[3]]=>4 [1,3,4,6,5,2]=>[6,3,4,5,1,2]=>[2,1,5,4,3,6]=>[[1,3,6],[2,4],[5]]=>5 [1,3,5,2,4,6]=>[5,3,1,2,4,6]=>[6,4,2,1,3,5]=>[[1,5,6],[2],[3],[4]]=>3 [1,3,5,2,6,4]=>[5,3,6,1,2,4]=>[4,2,1,6,3,5]=>[[1,4,6],[2,5],[3]]=>4 [1,3,5,4,2,6]=>[5,3,4,1,2,6]=>[6,2,1,4,3,5]=>[[1,4,6],[2,5],[3]]=>4 [1,3,5,4,6,2]=>[5,3,4,6,1,2]=>[2,1,6,4,3,5]=>[[1,3,6],[2,4],[5]]=>5 [1,3,5,6,2,4]=>[5,6,3,1,2,4]=>[4,2,1,3,6,5]=>[[1,4,5],[2,6],[3]]=>5 [1,3,5,6,4,2]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[1,3,5],[2,4,6]]=>6 [1,3,6,2,4,5]=>[6,1,3,2,4,5]=>[5,4,2,3,1,6]=>[[1,4,6],[2],[3],[5]]=>4 [1,3,6,2,5,4]=>[3,6,5,1,2,4]=>[4,2,1,5,6,3]=>[[1,4,5],[2,6],[3]]=>5 [1,3,6,4,2,5]=>[3,6,4,1,2,5]=>[5,2,1,4,6,3]=>[[1,4,5],[2,6],[3]]=>5 [1,3,6,4,5,2]=>[3,6,4,5,1,2]=>[2,1,5,4,6,3]=>[[1,3,5],[2,4],[6]]=>6 [1,3,6,5,2,4]=>[6,5,3,1,2,4]=>[4,2,1,3,5,6]=>[[1,4,5,6],[2],[3]]=>6 [1,3,6,5,4,2]=>[6,5,3,4,1,2]=>[2,1,4,3,5,6]=>[[1,3,5,6],[2,4]]=>7 [1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[[1,5],[2],[3],[4],[6]]=>2 [1,4,2,3,6,5]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[[1,4],[2,5],[3],[6]]=>3 [1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[[1,4],[2,5],[3],[6]]=>3 [1,4,2,5,6,3]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>[[1,3],[2,4],[5],[6]]=>4 [1,4,2,6,3,5]=>[4,1,6,2,3,5]=>[5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5]]=>4 [1,4,2,6,5,3]=>[6,1,4,5,2,3]=>[3,2,5,4,1,6]=>[[1,3,6],[2,4],[5]]=>5 [1,4,3,2,5,6]=>[4,3,1,2,5,6]=>[6,5,2,1,3,4]=>[[1,5,6],[2],[3],[4]]=>3 [1,4,3,2,6,5]=>[4,3,6,1,2,5]=>[5,2,1,6,3,4]=>[[1,4,6],[2,5],[3]]=>4 [1,4,3,5,2,6]=>[4,3,5,1,2,6]=>[6,2,1,5,3,4]=>[[1,4,6],[2,5],[3]]=>4 [1,4,3,5,6,2]=>[4,3,5,6,1,2]=>[2,1,6,5,3,4]=>[[1,3,6],[2,4],[5]]=>5 [1,4,3,6,2,5]=>[4,6,3,1,2,5]=>[5,2,1,3,6,4]=>[[1,4,5],[2,6],[3]]=>5 [1,4,3,6,5,2]=>[4,6,3,5,1,2]=>[2,1,5,3,6,4]=>[[1,3,5],[2,4,6]]=>6 [1,4,5,2,3,6]=>[4,1,5,2,3,6]=>[6,3,2,5,1,4]=>[[1,4],[2,6],[3],[5]]=>4 [1,4,5,2,6,3]=>[4,1,5,6,2,3]=>[3,2,6,5,1,4]=>[[1,3],[2,4],[5,6]]=>5 [1,4,5,3,2,6]=>[4,5,3,1,2,6]=>[6,2,1,3,5,4]=>[[1,4,5],[2,6],[3]]=>5 [1,4,5,3,6,2]=>[4,5,3,6,1,2]=>[2,1,6,3,5,4]=>[[1,3,5],[2,4],[6]]=>6 [1,4,5,6,2,3]=>[4,5,1,6,2,3]=>[3,2,6,1,5,4]=>[[1,3],[2,5],[4,6]]=>6 [1,4,5,6,3,2]=>[4,5,6,3,1,2]=>[2,1,3,6,5,4]=>[[1,3,4],[2,5],[6]]=>7 [1,4,6,2,3,5]=>[1,6,4,2,3,5]=>[5,3,2,4,6,1]=>[[1,4,5],[2],[3],[6]]=>5 [1,4,6,2,5,3]=>[4,6,1,5,2,3]=>[3,2,5,1,6,4]=>[[1,3,5],[2,6],[4]]=>6 [1,4,6,3,2,5]=>[6,4,3,1,2,5]=>[5,2,1,3,4,6]=>[[1,4,5,6],[2],[3]]=>6 [1,4,6,3,5,2]=>[6,4,3,5,1,2]=>[2,1,5,3,4,6]=>[[1,3,5,6],[2,4]]=>7 [1,4,6,5,2,3]=>[6,4,1,5,2,3]=>[3,2,5,1,4,6]=>[[1,3,6],[2,5],[4]]=>7 [1,4,6,5,3,2]=>[6,4,5,3,1,2]=>[2,1,3,5,4,6]=>[[1,3,4,6],[2,5]]=>8 [1,5,2,3,4,6]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[[1,4],[2],[3],[5],[6]]=>3 [1,5,2,3,6,4]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[[1,3],[2,4],[5],[6]]=>4 [1,5,2,4,3,6]=>[5,1,4,2,3,6]=>[6,3,2,4,1,5]=>[[1,4,6],[2],[3],[5]]=>4 [1,5,2,4,6,3]=>[5,1,4,6,2,3]=>[3,2,6,4,1,5]=>[[1,3,6],[2,4],[5]]=>5 [1,5,2,6,3,4]=>[5,1,2,6,3,4]=>[4,3,6,2,1,5]=>[[1,3],[2,6],[4],[5]]=>5 [1,5,2,6,4,3]=>[5,6,1,4,2,3]=>[3,2,4,1,6,5]=>[[1,3,5],[2,6],[4]]=>6 [1,5,3,2,4,6]=>[5,1,3,2,4,6]=>[6,4,2,3,1,5]=>[[1,4,6],[2],[3],[5]]=>4 [1,5,3,2,6,4]=>[5,1,3,6,2,4]=>[4,2,6,3,1,5]=>[[1,3,6],[2,4],[5]]=>5 [1,5,3,4,2,6]=>[3,5,4,1,2,6]=>[6,2,1,4,5,3]=>[[1,4,5],[2,6],[3]]=>5 [1,5,3,4,6,2]=>[3,5,4,6,1,2]=>[2,1,6,4,5,3]=>[[1,3,5],[2,4],[6]]=>6 [1,5,3,6,2,4]=>[5,6,1,3,2,4]=>[4,2,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>6 [1,5,3,6,4,2]=>[3,5,6,4,1,2]=>[2,1,4,6,5,3]=>[[1,3,4],[2,5],[6]]=>7 [1,5,4,2,3,6]=>[1,5,4,2,3,6]=>[6,3,2,4,5,1]=>[[1,4,5],[2],[3],[6]]=>5 [1,5,4,2,6,3]=>[1,5,4,6,2,3]=>[3,2,6,4,5,1]=>[[1,3,5],[2,4],[6]]=>6 [1,5,4,3,2,6]=>[5,4,3,1,2,6]=>[6,2,1,3,4,5]=>[[1,4,5,6],[2],[3]]=>6 [1,5,4,3,6,2]=>[5,4,3,6,1,2]=>[2,1,6,3,4,5]=>[[1,3,5,6],[2,4]]=>7 [1,5,4,6,2,3]=>[5,4,1,6,2,3]=>[3,2,6,1,4,5]=>[[1,3,6],[2,5],[4]]=>7 [1,5,4,6,3,2]=>[5,4,6,3,1,2]=>[2,1,3,6,4,5]=>[[1,3,4,6],[2,5]]=>8 [1,5,6,2,3,4]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[[1,3],[2,5],[4],[6]]=>6 [1,5,6,2,4,3]=>[1,5,6,4,2,3]=>[3,2,4,6,5,1]=>[[1,3,4],[2,5],[6]]=>7 [1,5,6,3,2,4]=>[1,5,6,3,2,4]=>[4,2,3,6,5,1]=>[[1,3,4],[2,5],[6]]=>7 [1,5,6,3,4,2]=>[5,3,6,4,1,2]=>[2,1,4,6,3,5]=>[[1,3,4],[2,5,6]]=>8 [1,5,6,4,2,3]=>[5,1,6,4,2,3]=>[3,2,4,6,1,5]=>[[1,3,4],[2,6],[5]]=>8 [1,5,6,4,3,2]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[1,3,4,5],[2,6]]=>9 [1,6,2,3,4,5]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[[1,3],[2],[4],[5],[6]]=>4 [1,6,2,3,5,4]=>[6,1,2,5,3,4]=>[4,3,5,2,1,6]=>[[1,3,6],[2],[4],[5]]=>5 [1,6,2,4,3,5]=>[6,1,2,4,3,5]=>[5,3,4,2,1,6]=>[[1,3,6],[2],[4],[5]]=>5 [1,6,2,4,5,3]=>[1,6,4,5,2,3]=>[3,2,5,4,6,1]=>[[1,3,5],[2,4],[6]]=>6 [1,6,2,5,3,4]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[[1,3,5],[2],[4],[6]]=>6 [1,6,2,5,4,3]=>[6,5,1,4,2,3]=>[3,2,4,1,5,6]=>[[1,3,5,6],[2],[4]]=>7 [1,6,3,2,4,5]=>[3,1,2,6,4,5]=>[5,4,6,2,1,3]=>[[1,3],[2,6],[4],[5]]=>5 [1,6,3,2,5,4]=>[1,6,3,5,2,4]=>[4,2,5,3,6,1]=>[[1,3,5],[2,4],[6]]=>6 [1,6,3,4,2,5]=>[1,6,3,4,2,5]=>[5,2,4,3,6,1]=>[[1,3,5],[2],[4],[6]]=>6 [1,6,3,4,5,2]=>[3,4,6,5,1,2]=>[2,1,5,6,4,3]=>[[1,3,4],[2,5],[6]]=>7 [1,6,3,5,2,4]=>[6,5,1,3,2,4]=>[4,2,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>7 [1,6,3,5,4,2]=>[6,3,5,4,1,2]=>[2,1,4,5,3,6]=>[[1,3,4,6],[2,5]]=>8 [1,6,4,2,3,5]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[[1,3,5],[2],[4],[6]]=>6 [1,6,4,2,5,3]=>[1,4,6,5,2,3]=>[3,2,5,6,4,1]=>[[1,3,4],[2,5],[6]]=>7 [1,6,4,3,2,5]=>[6,4,1,3,2,5]=>[5,2,3,1,4,6]=>[[1,3,5,6],[2],[4]]=>7 [1,6,4,3,5,2]=>[4,3,6,5,1,2]=>[2,1,5,6,3,4]=>[[1,3,4],[2,5,6]]=>8 [1,6,4,5,2,3]=>[4,1,6,5,2,3]=>[3,2,5,6,1,4]=>[[1,3,4],[2,6],[5]]=>8 [1,6,4,5,3,2]=>[4,6,5,3,1,2]=>[2,1,3,5,6,4]=>[[1,3,4,5],[2,6]]=>9 [1,6,5,2,3,4]=>[1,2,6,5,3,4]=>[4,3,5,6,2,1]=>[[1,3,4],[2],[5],[6]]=>7 [1,6,5,2,4,3]=>[6,1,5,4,2,3]=>[3,2,4,5,1,6]=>[[1,3,4,6],[2],[5]]=>8 [1,6,5,3,2,4]=>[6,1,5,3,2,4]=>[4,2,3,5,1,6]=>[[1,3,4,6],[2],[5]]=>8 [1,6,5,3,4,2]=>[3,6,5,4,1,2]=>[2,1,4,5,6,3]=>[[1,3,4,5],[2,6]]=>9 [1,6,5,4,2,3]=>[1,6,5,4,2,3]=>[3,2,4,5,6,1]=>[[1,3,4,5],[2],[6]]=>9 [1,6,5,4,3,2]=>[6,5,4,3,1,2]=>[2,1,3,4,5,6]=>[[1,3,4,5,6],[2]]=>10 [2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[6,5,4,3,1,2]=>[[1,6],[2],[3],[4],[5]]=>1 [2,1,3,4,6,5]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>[[1,5],[2,6],[3],[4]]=>2 [2,1,3,5,4,6]=>[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>[[1,5],[2,6],[3],[4]]=>2 [2,1,3,5,6,4]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>[[1,4],[2,5],[3,6]]=>3 [2,1,3,6,4,5]=>[6,2,1,3,4,5]=>[5,4,3,1,2,6]=>[[1,5,6],[2],[3],[4]]=>3 [2,1,3,6,5,4]=>[6,2,5,1,3,4]=>[4,3,1,5,2,6]=>[[1,4,6],[2,5],[3]]=>4 [2,1,4,3,5,6]=>[2,4,1,3,5,6]=>[6,5,3,1,4,2]=>[[1,5],[2,6],[3],[4]]=>2 [2,1,4,3,6,5]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[[1,4],[2,5],[3,6]]=>3 [2,1,4,5,3,6]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>[[1,4],[2,5],[3],[6]]=>3 [2,1,4,5,6,3]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>[[1,3],[2,4],[5],[6]]=>4 [2,1,4,6,3,5]=>[6,2,4,1,3,5]=>[5,3,1,4,2,6]=>[[1,4,6],[2,5],[3]]=>4 [2,1,4,6,5,3]=>[6,2,4,5,1,3]=>[3,1,5,4,2,6]=>[[1,3,6],[2,4],[5]]=>5 [2,1,5,3,4,6]=>[5,2,1,3,4,6]=>[6,4,3,1,2,5]=>[[1,5,6],[2],[3],[4]]=>3 [2,1,5,3,6,4]=>[5,2,6,1,3,4]=>[4,3,1,6,2,5]=>[[1,4,6],[2,5],[3]]=>4 [2,1,5,4,3,6]=>[5,2,4,1,3,6]=>[6,3,1,4,2,5]=>[[1,4,6],[2,5],[3]]=>4 [2,1,5,4,6,3]=>[5,2,4,6,1,3]=>[3,1,6,4,2,5]=>[[1,3,6],[2,4],[5]]=>5 [2,1,5,6,3,4]=>[5,6,2,1,3,4]=>[4,3,1,2,6,5]=>[[1,4,5],[2,6],[3]]=>5 [2,1,5,6,4,3]=>[5,6,2,4,1,3]=>[3,1,4,2,6,5]=>[[1,3,5],[2,4,6]]=>6 [2,1,6,3,4,5]=>[2,1,6,3,4,5]=>[5,4,3,6,1,2]=>[[1,4],[2,6],[3],[5]]=>4 [2,1,6,3,5,4]=>[2,6,5,1,3,4]=>[4,3,1,5,6,2]=>[[1,4,5],[2,6],[3]]=>5 [2,1,6,4,3,5]=>[2,6,4,1,3,5]=>[5,3,1,4,6,2]=>[[1,4,5],[2,6],[3]]=>5 [2,1,6,4,5,3]=>[2,6,4,5,1,3]=>[3,1,5,4,6,2]=>[[1,3,5],[2,4],[6]]=>6 [2,1,6,5,3,4]=>[6,5,2,1,3,4]=>[4,3,1,2,5,6]=>[[1,4,5,6],[2],[3]]=>6 [2,1,6,5,4,3]=>[6,5,2,4,1,3]=>[3,1,4,2,5,6]=>[[1,3,5,6],[2,4]]=>7 [2,3,1,4,5,6]=>[2,3,1,4,5,6]=>[6,5,4,1,3,2]=>[[1,5],[2],[3],[4],[6]]=>2 [2,3,1,4,6,5]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>[[1,4],[2,5],[3],[6]]=>3 [2,3,1,5,4,6]=>[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>[[1,4],[2,5],[3],[6]]=>3 [2,3,1,5,6,4]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>[[1,3],[2,4],[5],[6]]=>4 [2,3,1,6,4,5]=>[6,2,3,1,4,5]=>[5,4,1,3,2,6]=>[[1,4,6],[2],[3],[5]]=>4 [2,3,1,6,5,4]=>[6,2,3,5,1,4]=>[4,1,5,3,2,6]=>[[1,3,6],[2,4],[5]]=>5 [2,3,4,1,5,6]=>[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>[[1,4],[2],[3],[5],[6]]=>3 [2,3,4,1,6,5]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>[[1,3],[2,4],[5],[6]]=>4 [2,3,4,5,1,6]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>[[1,3],[2],[4],[5],[6]]=>4 [2,3,4,5,6,1]=>[2,3,4,5,6,1]=>[1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>5 [2,3,4,6,1,5]=>[6,2,3,4,1,5]=>[5,1,4,3,2,6]=>[[1,3,6],[2],[4],[5]]=>5 [2,3,4,6,5,1]=>[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>6 [2,3,5,1,4,6]=>[5,2,3,1,4,6]=>[6,4,1,3,2,5]=>[[1,4,6],[2],[3],[5]]=>4 [2,3,5,1,6,4]=>[5,2,3,6,1,4]=>[4,1,6,3,2,5]=>[[1,3,6],[2,4],[5]]=>5 [2,3,5,4,1,6]=>[5,2,3,4,1,6]=>[6,1,4,3,2,5]=>[[1,3,6],[2],[4],[5]]=>5 [2,3,5,4,6,1]=>[5,2,3,4,6,1]=>[1,6,4,3,2,5]=>[[1,2,6],[3],[4],[5]]=>6 [2,3,5,6,1,4]=>[5,6,2,3,1,4]=>[4,1,3,2,6,5]=>[[1,3,5],[2,6],[4]]=>6 [2,3,5,6,4,1]=>[5,6,2,3,4,1]=>[1,4,3,2,6,5]=>[[1,2,5],[3,6],[4]]=>7 [2,3,6,1,4,5]=>[2,6,3,1,4,5]=>[5,4,1,3,6,2]=>[[1,4,5],[2],[3],[6]]=>5 [2,3,6,1,5,4]=>[2,6,3,5,1,4]=>[4,1,5,3,6,2]=>[[1,3,5],[2,4],[6]]=>6 [2,3,6,4,1,5]=>[2,6,3,4,1,5]=>[5,1,4,3,6,2]=>[[1,3,5],[2],[4],[6]]=>6 [2,3,6,4,5,1]=>[2,6,3,4,5,1]=>[1,5,4,3,6,2]=>[[1,2,5],[3],[4],[6]]=>7 [2,3,6,5,1,4]=>[6,5,2,3,1,4]=>[4,1,3,2,5,6]=>[[1,3,5,6],[2],[4]]=>7 [2,3,6,5,4,1]=>[6,5,2,3,4,1]=>[1,4,3,2,5,6]=>[[1,2,5,6],[3],[4]]=>8 [2,4,1,3,5,6]=>[4,2,1,3,5,6]=>[6,5,3,1,2,4]=>[[1,5,6],[2],[3],[4]]=>3 [2,4,1,3,6,5]=>[4,2,6,1,3,5]=>[5,3,1,6,2,4]=>[[1,4,6],[2,5],[3]]=>4 [2,4,1,5,3,6]=>[4,2,5,1,3,6]=>[6,3,1,5,2,4]=>[[1,4,6],[2,5],[3]]=>4 [2,4,1,5,6,3]=>[4,2,5,6,1,3]=>[3,1,6,5,2,4]=>[[1,3,6],[2,4],[5]]=>5 [2,4,1,6,3,5]=>[4,6,2,1,3,5]=>[5,3,1,2,6,4]=>[[1,4,5],[2,6],[3]]=>5 [2,4,1,6,5,3]=>[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>[[1,3,5],[2,4,6]]=>6 [2,4,3,1,5,6]=>[4,2,3,1,5,6]=>[6,5,1,3,2,4]=>[[1,4,6],[2],[3],[5]]=>4 [2,4,3,1,6,5]=>[4,2,3,6,1,5]=>[5,1,6,3,2,4]=>[[1,3,6],[2,4],[5]]=>5 [2,4,3,5,1,6]=>[4,2,3,5,1,6]=>[6,1,5,3,2,4]=>[[1,3,6],[2],[4],[5]]=>5 [2,4,3,5,6,1]=>[4,2,3,5,6,1]=>[1,6,5,3,2,4]=>[[1,2,6],[3],[4],[5]]=>6 [2,4,3,6,1,5]=>[4,6,2,3,1,5]=>[5,1,3,2,6,4]=>[[1,3,5],[2,6],[4]]=>6 [2,4,3,6,5,1]=>[4,6,2,3,5,1]=>[1,5,3,2,6,4]=>[[1,2,5],[3,6],[4]]=>7 [2,4,5,1,3,6]=>[4,5,2,1,3,6]=>[6,3,1,2,5,4]=>[[1,4,5],[2,6],[3]]=>5 [2,4,5,1,6,3]=>[4,5,2,6,1,3]=>[3,1,6,2,5,4]=>[[1,3,5],[2,4],[6]]=>6 [2,4,5,3,1,6]=>[4,5,2,3,1,6]=>[6,1,3,2,5,4]=>[[1,3,5],[2,6],[4]]=>6 [2,4,5,3,6,1]=>[4,5,2,3,6,1]=>[1,6,3,2,5,4]=>[[1,2,5],[3,6],[4]]=>7 [2,4,5,6,1,3]=>[4,5,6,2,1,3]=>[3,1,2,6,5,4]=>[[1,3,4],[2,5],[6]]=>7 [2,4,5,6,3,1]=>[4,5,6,2,3,1]=>[1,3,2,6,5,4]=>[[1,2,4],[3,5],[6]]=>8 [2,4,6,1,3,5]=>[6,4,2,1,3,5]=>[5,3,1,2,4,6]=>[[1,4,5,6],[2],[3]]=>6 [2,4,6,1,5,3]=>[6,4,2,5,1,3]=>[3,1,5,2,4,6]=>[[1,3,5,6],[2,4]]=>7 [2,4,6,3,1,5]=>[6,4,2,3,1,5]=>[5,1,3,2,4,6]=>[[1,3,5,6],[2],[4]]=>7 [2,4,6,3,5,1]=>[6,4,2,3,5,1]=>[1,5,3,2,4,6]=>[[1,2,5,6],[3],[4]]=>8 [2,4,6,5,1,3]=>[6,4,5,2,1,3]=>[3,1,2,5,4,6]=>[[1,3,4,6],[2,5]]=>8 [2,4,6,5,3,1]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[[1,2,4,6],[3,5]]=>9 [2,5,1,3,4,6]=>[2,1,5,3,4,6]=>[6,4,3,5,1,2]=>[[1,4],[2,6],[3],[5]]=>4 [2,5,1,3,6,4]=>[2,1,5,6,3,4]=>[4,3,6,5,1,2]=>[[1,3],[2,4],[5,6]]=>5 [2,5,1,4,3,6]=>[2,5,4,1,3,6]=>[6,3,1,4,5,2]=>[[1,4,5],[2,6],[3]]=>5 [2,5,1,4,6,3]=>[2,5,4,6,1,3]=>[3,1,6,4,5,2]=>[[1,3,5],[2,4],[6]]=>6 [2,5,1,6,3,4]=>[2,5,1,6,3,4]=>[4,3,6,1,5,2]=>[[1,3],[2,5],[4,6]]=>6 [2,5,1,6,4,3]=>[2,5,6,4,1,3]=>[3,1,4,6,5,2]=>[[1,3,4],[2,5],[6]]=>7 [2,5,3,1,4,6]=>[2,5,3,1,4,6]=>[6,4,1,3,5,2]=>[[1,4,5],[2],[3],[6]]=>5 [2,5,3,1,6,4]=>[2,5,3,6,1,4]=>[4,1,6,3,5,2]=>[[1,3,5],[2,4],[6]]=>6 [2,5,3,4,1,6]=>[2,5,3,4,1,6]=>[6,1,4,3,5,2]=>[[1,3,5],[2],[4],[6]]=>6 [2,5,3,4,6,1]=>[2,5,3,4,6,1]=>[1,6,4,3,5,2]=>[[1,2,5],[3],[4],[6]]=>7 [2,5,3,6,1,4]=>[2,5,6,3,1,4]=>[4,1,3,6,5,2]=>[[1,3,4],[2,5],[6]]=>7 [2,5,3,6,4,1]=>[2,5,6,3,4,1]=>[1,4,3,6,5,2]=>[[1,2,4],[3,5],[6]]=>8 [2,5,4,1,3,6]=>[5,4,2,1,3,6]=>[6,3,1,2,4,5]=>[[1,4,5,6],[2],[3]]=>6 [2,5,4,1,6,3]=>[5,4,2,6,1,3]=>[3,1,6,2,4,5]=>[[1,3,5,6],[2,4]]=>7 [2,5,4,3,1,6]=>[5,4,2,3,1,6]=>[6,1,3,2,4,5]=>[[1,3,5,6],[2],[4]]=>7 [2,5,4,3,6,1]=>[5,4,2,3,6,1]=>[1,6,3,2,4,5]=>[[1,2,5,6],[3],[4]]=>8 [2,5,4,6,1,3]=>[5,4,6,2,1,3]=>[3,1,2,6,4,5]=>[[1,3,4,6],[2,5]]=>8 [2,5,4,6,3,1]=>[5,4,6,2,3,1]=>[1,3,2,6,4,5]=>[[1,2,4,6],[3,5]]=>9 [2,5,6,1,3,4]=>[5,2,1,6,3,4]=>[4,3,6,1,2,5]=>[[1,3,6],[2,5],[4]]=>7 [2,5,6,1,4,3]=>[5,2,6,4,1,3]=>[3,1,4,6,2,5]=>[[1,3,4],[2,5,6]]=>8 [2,5,6,3,1,4]=>[5,2,6,3,1,4]=>[4,1,3,6,2,5]=>[[1,3,4],[2,6],[5]]=>8 [2,5,6,3,4,1]=>[5,2,6,3,4,1]=>[1,4,3,6,2,5]=>[[1,2,4],[3,6],[5]]=>9 [2,5,6,4,1,3]=>[5,6,4,2,1,3]=>[3,1,2,4,6,5]=>[[1,3,4,5],[2,6]]=>9 [2,5,6,4,3,1]=>[5,6,4,2,3,1]=>[1,3,2,4,6,5]=>[[1,2,4,5],[3,6]]=>10 [2,6,1,3,4,5]=>[2,1,3,6,4,5]=>[5,4,6,3,1,2]=>[[1,3],[2,6],[4],[5]]=>5 [2,6,1,3,5,4]=>[2,6,1,5,3,4]=>[4,3,5,1,6,2]=>[[1,3,5],[2,6],[4]]=>6 [2,6,1,4,3,5]=>[2,6,1,4,3,5]=>[5,3,4,1,6,2]=>[[1,3,5],[2,6],[4]]=>6 [2,6,1,4,5,3]=>[2,4,6,5,1,3]=>[3,1,5,6,4,2]=>[[1,3,4],[2,5],[6]]=>7 [2,6,1,5,3,4]=>[6,2,1,5,3,4]=>[4,3,5,1,2,6]=>[[1,3,6],[2,5],[4]]=>7 [2,6,1,5,4,3]=>[6,2,5,4,1,3]=>[3,1,4,5,2,6]=>[[1,3,4,6],[2,5]]=>8 [2,6,3,1,4,5]=>[2,3,1,6,4,5]=>[5,4,6,1,3,2]=>[[1,3],[2,5],[4],[6]]=>6 [2,6,3,1,5,4]=>[2,3,6,5,1,4]=>[4,1,5,6,3,2]=>[[1,3,4],[2,5],[6]]=>7 [2,6,3,4,1,5]=>[2,3,6,4,1,5]=>[5,1,4,6,3,2]=>[[1,3,4],[2],[5],[6]]=>7 [2,6,3,4,5,1]=>[2,3,6,4,5,1]=>[1,5,4,6,3,2]=>[[1,2,4],[3],[5],[6]]=>8 [2,6,3,5,1,4]=>[6,2,5,3,1,4]=>[4,1,3,5,2,6]=>[[1,3,4,6],[2],[5]]=>8 [2,6,3,5,4,1]=>[6,2,5,3,4,1]=>[1,4,3,5,2,6]=>[[1,2,4,6],[3],[5]]=>9 [2,6,4,1,3,5]=>[6,2,1,4,3,5]=>[5,3,4,1,2,6]=>[[1,3,6],[2,5],[4]]=>7 [2,6,4,1,5,3]=>[4,2,6,5,1,3]=>[3,1,5,6,2,4]=>[[1,3,4],[2,5,6]]=>8 [2,6,4,3,1,5]=>[6,2,4,3,1,5]=>[5,1,3,4,2,6]=>[[1,3,4,6],[2],[5]]=>8 [2,6,4,3,5,1]=>[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[[1,2,4,6],[3],[5]]=>9 [2,6,4,5,1,3]=>[4,6,5,2,1,3]=>[3,1,2,5,6,4]=>[[1,3,4,5],[2,6]]=>9 [2,6,4,5,3,1]=>[4,6,5,2,3,1]=>[1,3,2,5,6,4]=>[[1,2,4,5],[3,6]]=>10 [2,6,5,1,3,4]=>[2,1,6,5,3,4]=>[4,3,5,6,1,2]=>[[1,3,4],[2,6],[5]]=>8 [2,6,5,1,4,3]=>[2,6,5,4,1,3]=>[3,1,4,5,6,2]=>[[1,3,4,5],[2,6]]=>9 [2,6,5,3,1,4]=>[2,6,5,3,1,4]=>[4,1,3,5,6,2]=>[[1,3,4,5],[2],[6]]=>9 [2,6,5,3,4,1]=>[2,6,5,3,4,1]=>[1,4,3,5,6,2]=>[[1,2,4,5],[3],[6]]=>10 [2,6,5,4,1,3]=>[6,5,4,2,1,3]=>[3,1,2,4,5,6]=>[[1,3,4,5,6],[2]]=>10 [2,6,5,4,3,1]=>[6,5,4,2,3,1]=>[1,3,2,4,5,6]=>[[1,2,4,5,6],[3]]=>11 [3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[[1,5],[2],[3],[4],[6]]=>2 [3,1,2,4,6,5]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[[1,4],[2,5],[3],[6]]=>3 [3,1,2,5,4,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[[1,4],[2,5],[3],[6]]=>3 [3,1,2,5,6,4]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>[[1,3],[2,4],[5],[6]]=>4 [3,1,2,6,4,5]=>[3,1,6,2,4,5]=>[5,4,2,6,1,3]=>[[1,4],[2,6],[3],[5]]=>4 [3,1,2,6,5,4]=>[6,1,3,5,2,4]=>[4,2,5,3,1,6]=>[[1,3,6],[2,4],[5]]=>5 [3,1,4,2,5,6]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>[[1,4],[2],[3],[5],[6]]=>3 [3,1,4,2,6,5]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>[[1,3],[2,4],[5],[6]]=>4 [3,1,4,5,2,6]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>4 [3,1,4,5,6,2]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6]]=>5 [3,1,4,6,2,5]=>[6,1,3,4,2,5]=>[5,2,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>5 [3,1,4,6,5,2]=>[6,1,3,4,5,2]=>[2,5,4,3,1,6]=>[[1,2,6],[3],[4],[5]]=>6 [3,1,5,2,4,6]=>[3,1,5,2,4,6]=>[6,4,2,5,1,3]=>[[1,4],[2,6],[3],[5]]=>4 [3,1,5,2,6,4]=>[3,1,5,6,2,4]=>[4,2,6,5,1,3]=>[[1,3],[2,4],[5,6]]=>5 [3,1,5,4,2,6]=>[5,1,3,4,2,6]=>[6,2,4,3,1,5]=>[[1,3,6],[2],[4],[5]]=>5 [3,1,5,4,6,2]=>[5,1,3,4,6,2]=>[2,6,4,3,1,5]=>[[1,2,6],[3],[4],[5]]=>6 [3,1,5,6,2,4]=>[3,5,1,6,2,4]=>[4,2,6,1,5,3]=>[[1,3],[2,5],[4,6]]=>6 [3,1,5,6,4,2]=>[5,6,1,3,4,2]=>[2,4,3,1,6,5]=>[[1,2,5],[3,6],[4]]=>7 [3,1,6,2,4,5]=>[1,6,3,2,4,5]=>[5,4,2,3,6,1]=>[[1,4,5],[2],[3],[6]]=>5 [3,1,6,2,5,4]=>[3,6,1,5,2,4]=>[4,2,5,1,6,3]=>[[1,3,5],[2,6],[4]]=>6 [3,1,6,4,2,5]=>[3,6,1,4,2,5]=>[5,2,4,1,6,3]=>[[1,3,5],[2,6],[4]]=>6 [3,1,6,4,5,2]=>[1,6,3,4,5,2]=>[2,5,4,3,6,1]=>[[1,2,5],[3],[4],[6]]=>7 [3,1,6,5,2,4]=>[6,3,1,5,2,4]=>[4,2,5,1,3,6]=>[[1,3,6],[2,5],[4]]=>7 [3,1,6,5,4,2]=>[6,5,1,3,4,2]=>[2,4,3,1,5,6]=>[[1,2,5,6],[3],[4]]=>8 [3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[6,5,4,1,2,3]=>[[1,5,6],[2],[3],[4]]=>3 [3,2,1,4,6,5]=>[3,2,6,1,4,5]=>[5,4,1,6,2,3]=>[[1,4,6],[2,5],[3]]=>4 [3,2,1,5,4,6]=>[3,2,5,1,4,6]=>[6,4,1,5,2,3]=>[[1,4,6],[2,5],[3]]=>4 [3,2,1,5,6,4]=>[3,2,5,6,1,4]=>[4,1,6,5,2,3]=>[[1,3,6],[2,4],[5]]=>5 [3,2,1,6,4,5]=>[3,6,2,1,4,5]=>[5,4,1,2,6,3]=>[[1,4,5],[2,6],[3]]=>5 [3,2,1,6,5,4]=>[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[[1,3,5],[2,4,6]]=>6 [3,2,4,1,5,6]=>[3,2,4,1,5,6]=>[6,5,1,4,2,3]=>[[1,4,6],[2],[3],[5]]=>4 [3,2,4,1,6,5]=>[3,2,4,6,1,5]=>[5,1,6,4,2,3]=>[[1,3,6],[2,4],[5]]=>5 [3,2,4,5,1,6]=>[3,2,4,5,1,6]=>[6,1,5,4,2,3]=>[[1,3,6],[2],[4],[5]]=>5 [3,2,4,5,6,1]=>[3,2,4,5,6,1]=>[1,6,5,4,2,3]=>[[1,2,6],[3],[4],[5]]=>6 [3,2,4,6,1,5]=>[3,6,2,4,1,5]=>[5,1,4,2,6,3]=>[[1,3,5],[2,6],[4]]=>6 [3,2,4,6,5,1]=>[3,6,2,4,5,1]=>[1,5,4,2,6,3]=>[[1,2,5],[3,6],[4]]=>7 [3,2,5,1,4,6]=>[3,5,2,1,4,6]=>[6,4,1,2,5,3]=>[[1,4,5],[2,6],[3]]=>5 [3,2,5,1,6,4]=>[3,5,2,6,1,4]=>[4,1,6,2,5,3]=>[[1,3,5],[2,4],[6]]=>6 [3,2,5,4,1,6]=>[3,5,2,4,1,6]=>[6,1,4,2,5,3]=>[[1,3,5],[2,6],[4]]=>6 [3,2,5,4,6,1]=>[3,5,2,4,6,1]=>[1,6,4,2,5,3]=>[[1,2,5],[3,6],[4]]=>7 [3,2,5,6,1,4]=>[3,5,6,2,1,4]=>[4,1,2,6,5,3]=>[[1,3,4],[2,5],[6]]=>7 [3,2,5,6,4,1]=>[3,5,6,2,4,1]=>[1,4,2,6,5,3]=>[[1,2,4],[3,5],[6]]=>8 [3,2,6,1,4,5]=>[6,3,2,1,4,5]=>[5,4,1,2,3,6]=>[[1,4,5,6],[2],[3]]=>6 [3,2,6,1,5,4]=>[6,3,2,5,1,4]=>[4,1,5,2,3,6]=>[[1,3,5,6],[2,4]]=>7 [3,2,6,4,1,5]=>[6,3,2,4,1,5]=>[5,1,4,2,3,6]=>[[1,3,5,6],[2],[4]]=>7 [3,2,6,4,5,1]=>[6,3,2,4,5,1]=>[1,5,4,2,3,6]=>[[1,2,5,6],[3],[4]]=>8 [3,2,6,5,1,4]=>[6,3,5,2,1,4]=>[4,1,2,5,3,6]=>[[1,3,4,6],[2,5]]=>8 [3,2,6,5,4,1]=>[6,3,5,2,4,1]=>[1,4,2,5,3,6]=>[[1,2,4,6],[3,5]]=>9 [3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[6,5,2,4,1,3]=>[[1,4],[2,6],[3],[5]]=>4 [3,4,1,2,6,5]=>[3,1,4,6,2,5]=>[5,2,6,4,1,3]=>[[1,3],[2,4],[5,6]]=>5 [3,4,1,5,2,6]=>[3,1,4,5,2,6]=>[6,2,5,4,1,3]=>[[1,3],[2,6],[4],[5]]=>5 [3,4,1,5,6,2]=>[3,1,4,5,6,2]=>[2,6,5,4,1,3]=>[[1,2],[3,6],[4],[5]]=>6 [3,4,1,6,2,5]=>[3,4,1,6,2,5]=>[5,2,6,1,4,3]=>[[1,3],[2,5],[4,6]]=>6 [3,4,1,6,5,2]=>[3,6,1,4,5,2]=>[2,5,4,1,6,3]=>[[1,2,5],[3,6],[4]]=>7 [3,4,2,1,5,6]=>[3,4,2,1,5,6]=>[6,5,1,2,4,3]=>[[1,4,5],[2],[3],[6]]=>5 [3,4,2,1,6,5]=>[3,4,2,6,1,5]=>[5,1,6,2,4,3]=>[[1,3,5],[2,4],[6]]=>6 [3,4,2,5,1,6]=>[3,4,2,5,1,6]=>[6,1,5,2,4,3]=>[[1,3,5],[2],[4],[6]]=>6 [3,4,2,5,6,1]=>[3,4,2,5,6,1]=>[1,6,5,2,4,3]=>[[1,2,5],[3],[4],[6]]=>7 [3,4,2,6,1,5]=>[3,4,6,2,1,5]=>[5,1,2,6,4,3]=>[[1,3,4],[2,5],[6]]=>7 [3,4,2,6,5,1]=>[3,4,6,2,5,1]=>[1,5,2,6,4,3]=>[[1,2,4],[3,5],[6]]=>8 [3,4,5,1,2,6]=>[3,4,1,5,2,6]=>[6,2,5,1,4,3]=>[[1,3],[2,5],[4],[6]]=>6 [3,4,5,1,6,2]=>[3,4,1,5,6,2]=>[2,6,5,1,4,3]=>[[1,2],[3,5],[4],[6]]=>7 [3,4,5,2,1,6]=>[3,4,5,2,1,6]=>[6,1,2,5,4,3]=>[[1,3,4],[2],[5],[6]]=>7 [3,4,5,2,6,1]=>[3,4,5,2,6,1]=>[1,6,2,5,4,3]=>[[1,2,4],[3],[5],[6]]=>8 [3,4,5,6,1,2]=>[3,4,5,1,6,2]=>[2,6,1,5,4,3]=>[[1,2],[3,4],[5],[6]]=>8 [3,4,5,6,2,1]=>[3,4,5,6,2,1]=>[1,2,6,5,4,3]=>[[1,2,3],[4],[5],[6]]=>9 [3,4,6,1,2,5]=>[6,3,1,4,2,5]=>[5,2,4,1,3,6]=>[[1,3,6],[2,5],[4]]=>7 [3,4,6,1,5,2]=>[3,4,6,1,5,2]=>[2,5,1,6,4,3]=>[[1,2,4],[3,5],[6]]=>8 [3,4,6,2,1,5]=>[6,3,4,2,1,5]=>[5,1,2,4,3,6]=>[[1,3,4,6],[2],[5]]=>8 [3,4,6,2,5,1]=>[6,3,4,2,5,1]=>[1,5,2,4,3,6]=>[[1,2,4,6],[3],[5]]=>9 [3,4,6,5,1,2]=>[6,3,4,1,5,2]=>[2,5,1,4,3,6]=>[[1,2,6],[3,4],[5]]=>9 [3,4,6,5,2,1]=>[6,3,4,5,2,1]=>[1,2,5,4,3,6]=>[[1,2,3,6],[4],[5]]=>10 [3,5,1,2,4,6]=>[1,5,3,2,4,6]=>[6,4,2,3,5,1]=>[[1,4,5],[2],[3],[6]]=>5 [3,5,1,2,6,4]=>[1,5,3,6,2,4]=>[4,2,6,3,5,1]=>[[1,3,5],[2,4],[6]]=>6 [3,5,1,4,2,6]=>[3,5,1,4,2,6]=>[6,2,4,1,5,3]=>[[1,3,5],[2,6],[4]]=>6 [3,5,1,4,6,2]=>[3,5,1,4,6,2]=>[2,6,4,1,5,3]=>[[1,2,5],[3,6],[4]]=>7 [3,5,1,6,2,4]=>[5,3,1,6,2,4]=>[4,2,6,1,3,5]=>[[1,3,6],[2,5],[4]]=>7 [3,5,1,6,4,2]=>[3,5,6,1,4,2]=>[2,4,1,6,5,3]=>[[1,2,4],[3,5],[6]]=>8 [3,5,2,1,4,6]=>[5,3,2,1,4,6]=>[6,4,1,2,3,5]=>[[1,4,5,6],[2],[3]]=>6 [3,5,2,1,6,4]=>[5,3,2,6,1,4]=>[4,1,6,2,3,5]=>[[1,3,5,6],[2,4]]=>7 [3,5,2,4,1,6]=>[5,3,2,4,1,6]=>[6,1,4,2,3,5]=>[[1,3,5,6],[2],[4]]=>7 [3,5,2,4,6,1]=>[5,3,2,4,6,1]=>[1,6,4,2,3,5]=>[[1,2,5,6],[3],[4]]=>8 [3,5,2,6,1,4]=>[5,3,6,2,1,4]=>[4,1,2,6,3,5]=>[[1,3,4,6],[2,5]]=>8 [3,5,2,6,4,1]=>[5,3,6,2,4,1]=>[1,4,2,6,3,5]=>[[1,2,4,6],[3,5]]=>9 [3,5,4,1,2,6]=>[5,3,1,4,2,6]=>[6,2,4,1,3,5]=>[[1,3,6],[2,5],[4]]=>7 [3,5,4,1,6,2]=>[5,3,1,4,6,2]=>[2,6,4,1,3,5]=>[[1,2,6],[3,5],[4]]=>8 [3,5,4,2,1,6]=>[5,3,4,2,1,6]=>[6,1,2,4,3,5]=>[[1,3,4,6],[2],[5]]=>8 [3,5,4,2,6,1]=>[5,3,4,2,6,1]=>[1,6,2,4,3,5]=>[[1,2,4,6],[3],[5]]=>9 [3,5,4,6,1,2]=>[5,3,4,1,6,2]=>[2,6,1,4,3,5]=>[[1,2,6],[3,4],[5]]=>9 [3,5,4,6,2,1]=>[5,3,4,6,2,1]=>[1,2,6,4,3,5]=>[[1,2,3,6],[4],[5]]=>10 [3,5,6,1,2,4]=>[5,1,6,3,2,4]=>[4,2,3,6,1,5]=>[[1,3,4],[2,6],[5]]=>8 [3,5,6,1,4,2]=>[5,3,6,1,4,2]=>[2,4,1,6,3,5]=>[[1,2,4],[3,5,6]]=>9 [3,5,6,2,1,4]=>[5,6,3,2,1,4]=>[4,1,2,3,6,5]=>[[1,3,4,5],[2,6]]=>9 [3,5,6,2,4,1]=>[5,6,3,2,4,1]=>[1,4,2,3,6,5]=>[[1,2,4,5],[3,6]]=>10 [3,5,6,4,1,2]=>[5,6,3,1,4,2]=>[2,4,1,3,6,5]=>[[1,2,5],[3,4,6]]=>10 [3,5,6,4,2,1]=>[5,6,3,4,2,1]=>[1,2,4,3,6,5]=>[[1,2,3,5],[4,6]]=>11 [3,6,1,2,4,5]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>[[1,3],[2,5],[4],[6]]=>6 [3,6,1,2,5,4]=>[1,3,6,5,2,4]=>[4,2,5,6,3,1]=>[[1,3,4],[2,5],[6]]=>7 [3,6,1,4,2,5]=>[1,3,6,4,2,5]=>[5,2,4,6,3,1]=>[[1,3,4],[2],[5],[6]]=>7 [3,6,1,4,5,2]=>[6,3,1,4,5,2]=>[2,5,4,1,3,6]=>[[1,2,6],[3,5],[4]]=>8 [3,6,1,5,2,4]=>[3,1,6,5,2,4]=>[4,2,5,6,1,3]=>[[1,3,4],[2,6],[5]]=>8 [3,6,1,5,4,2]=>[6,3,5,1,4,2]=>[2,4,1,5,3,6]=>[[1,2,4,6],[3,5]]=>9 [3,6,2,1,4,5]=>[3,2,1,6,4,5]=>[5,4,6,1,2,3]=>[[1,3,6],[2,5],[4]]=>7 [3,6,2,1,5,4]=>[3,2,6,5,1,4]=>[4,1,5,6,2,3]=>[[1,3,4],[2,5,6]]=>8 [3,6,2,4,1,5]=>[3,2,6,4,1,5]=>[5,1,4,6,2,3]=>[[1,3,4],[2,6],[5]]=>8 [3,6,2,4,5,1]=>[3,2,6,4,5,1]=>[1,5,4,6,2,3]=>[[1,2,4],[3,6],[5]]=>9 [3,6,2,5,1,4]=>[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>[[1,3,4,5],[2,6]]=>9 [3,6,2,5,4,1]=>[3,6,5,2,4,1]=>[1,4,2,5,6,3]=>[[1,2,4,5],[3,6]]=>10 [3,6,4,1,2,5]=>[3,1,6,4,2,5]=>[5,2,4,6,1,3]=>[[1,3,4],[2,6],[5]]=>8 [3,6,4,1,5,2]=>[3,1,6,4,5,2]=>[2,5,4,6,1,3]=>[[1,2,4],[3,6],[5]]=>9 [3,6,4,2,1,5]=>[3,6,4,2,1,5]=>[5,1,2,4,6,3]=>[[1,3,4,5],[2],[6]]=>9 [3,6,4,2,5,1]=>[3,6,4,2,5,1]=>[1,5,2,4,6,3]=>[[1,2,4,5],[3],[6]]=>10 [3,6,4,5,1,2]=>[3,6,4,1,5,2]=>[2,5,1,4,6,3]=>[[1,2,5],[3,4],[6]]=>10 [3,6,4,5,2,1]=>[3,6,4,5,2,1]=>[1,2,5,4,6,3]=>[[1,2,3,5],[4],[6]]=>11 [3,6,5,1,2,4]=>[1,6,5,3,2,4]=>[4,2,3,5,6,1]=>[[1,3,4,5],[2],[6]]=>9 [3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[2,4,1,5,6,3]=>[[1,2,4,5],[3,6]]=>10 [3,6,5,2,1,4]=>[6,5,3,2,1,4]=>[4,1,2,3,5,6]=>[[1,3,4,5,6],[2]]=>10 [3,6,5,2,4,1]=>[6,5,3,2,4,1]=>[1,4,2,3,5,6]=>[[1,2,4,5,6],[3]]=>11 [3,6,5,4,1,2]=>[6,5,3,1,4,2]=>[2,4,1,3,5,6]=>[[1,2,5,6],[3,4]]=>11 [3,6,5,4,2,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[[1,2,3,5,6],[4]]=>12 [4,1,2,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>3 [4,1,2,3,6,5]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>[[1,3],[2,4],[5],[6]]=>4 [4,1,2,5,3,6]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>[[1,3],[2],[4],[5],[6]]=>4 [4,1,2,5,6,3]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>[[1,2],[3],[4],[5],[6]]=>5 [4,1,2,6,3,5]=>[4,1,2,6,3,5]=>[5,3,6,2,1,4]=>[[1,3],[2,6],[4],[5]]=>5 [4,1,2,6,5,3]=>[6,1,2,4,5,3]=>[3,5,4,2,1,6]=>[[1,2,6],[3],[4],[5]]=>6 [4,1,3,2,5,6]=>[4,1,3,2,5,6]=>[6,5,2,3,1,4]=>[[1,4,6],[2],[3],[5]]=>4 [4,1,3,2,6,5]=>[4,1,3,6,2,5]=>[5,2,6,3,1,4]=>[[1,3,6],[2,4],[5]]=>5 [4,1,3,5,2,6]=>[4,1,3,5,2,6]=>[6,2,5,3,1,4]=>[[1,3,6],[2],[4],[5]]=>5 [4,1,3,5,6,2]=>[4,1,3,5,6,2]=>[2,6,5,3,1,4]=>[[1,2,6],[3],[4],[5]]=>6 [4,1,3,6,2,5]=>[4,6,1,3,2,5]=>[5,2,3,1,6,4]=>[[1,3,5],[2,6],[4]]=>6 [4,1,3,6,5,2]=>[4,6,1,3,5,2]=>[2,5,3,1,6,4]=>[[1,2,5],[3,6],[4]]=>7 [4,1,5,2,3,6]=>[4,1,2,5,3,6]=>[6,3,5,2,1,4]=>[[1,3],[2,6],[4],[5]]=>5 [4,1,5,2,6,3]=>[4,1,2,5,6,3]=>[3,6,5,2,1,4]=>[[1,2],[3,6],[4],[5]]=>6 [4,1,5,3,2,6]=>[4,5,1,3,2,6]=>[6,2,3,1,5,4]=>[[1,3,5],[2,6],[4]]=>6 [4,1,5,3,6,2]=>[4,5,1,3,6,2]=>[2,6,3,1,5,4]=>[[1,2,5],[3,6],[4]]=>7 [4,1,5,6,2,3]=>[4,5,1,2,6,3]=>[3,6,2,1,5,4]=>[[1,2],[3,5],[4,6]]=>7 [4,1,5,6,3,2]=>[4,5,6,1,3,2]=>[2,3,1,6,5,4]=>[[1,2,4],[3,5],[6]]=>8 [4,1,6,2,3,5]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[[1,3],[2,5],[4],[6]]=>6 [4,1,6,2,5,3]=>[4,6,1,2,5,3]=>[3,5,2,1,6,4]=>[[1,2,5],[3,6],[4]]=>7 [4,1,6,3,2,5]=>[1,4,6,3,2,5]=>[5,2,3,6,4,1]=>[[1,3,4],[2,5],[6]]=>7 [4,1,6,3,5,2]=>[6,4,1,3,5,2]=>[2,5,3,1,4,6]=>[[1,2,5,6],[3],[4]]=>8 [4,1,6,5,2,3]=>[6,4,1,2,5,3]=>[3,5,2,1,4,6]=>[[1,2,6],[3,5],[4]]=>8 [4,1,6,5,3,2]=>[6,4,5,1,3,2]=>[2,3,1,5,4,6]=>[[1,2,4,6],[3,5]]=>9 [4,2,1,3,5,6]=>[2,1,4,3,5,6]=>[6,5,3,4,1,2]=>[[1,4],[2,6],[3],[5]]=>4 [4,2,1,3,6,5]=>[2,1,4,6,3,5]=>[5,3,6,4,1,2]=>[[1,3],[2,4],[5,6]]=>5 [4,2,1,5,3,6]=>[2,1,4,5,3,6]=>[6,3,5,4,1,2]=>[[1,3],[2,6],[4],[5]]=>5 [4,2,1,5,6,3]=>[2,1,4,5,6,3]=>[3,6,5,4,1,2]=>[[1,2],[3,6],[4],[5]]=>6 [4,2,1,6,3,5]=>[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[[1,3],[2,5],[4,6]]=>6 [4,2,1,6,5,3]=>[2,6,1,4,5,3]=>[3,5,4,1,6,2]=>[[1,2,5],[3,6],[4]]=>7 [4,2,3,1,5,6]=>[2,4,3,1,5,6]=>[6,5,1,3,4,2]=>[[1,4,5],[2],[3],[6]]=>5 [4,2,3,1,6,5]=>[2,4,3,6,1,5]=>[5,1,6,3,4,2]=>[[1,3,5],[2,4],[6]]=>6 [4,2,3,5,1,6]=>[2,4,3,5,1,6]=>[6,1,5,3,4,2]=>[[1,3,5],[2],[4],[6]]=>6 [4,2,3,5,6,1]=>[2,4,3,5,6,1]=>[1,6,5,3,4,2]=>[[1,2,5],[3],[4],[6]]=>7 [4,2,3,6,1,5]=>[2,4,6,3,1,5]=>[5,1,3,6,4,2]=>[[1,3,4],[2,5],[6]]=>7 [4,2,3,6,5,1]=>[2,4,6,3,5,1]=>[1,5,3,6,4,2]=>[[1,2,4],[3,5],[6]]=>8 [4,2,5,1,3,6]=>[2,4,1,5,3,6]=>[6,3,5,1,4,2]=>[[1,3],[2,5],[4],[6]]=>6 [4,2,5,1,6,3]=>[2,4,1,5,6,3]=>[3,6,5,1,4,2]=>[[1,2],[3,5],[4],[6]]=>7 [4,2,5,3,1,6]=>[2,4,5,3,1,6]=>[6,1,3,5,4,2]=>[[1,3,4],[2],[5],[6]]=>7 [4,2,5,3,6,1]=>[2,4,5,3,6,1]=>[1,6,3,5,4,2]=>[[1,2,4],[3],[5],[6]]=>8 [4,2,5,6,1,3]=>[2,4,5,1,6,3]=>[3,6,1,5,4,2]=>[[1,2],[3,4],[5],[6]]=>8 [4,2,5,6,3,1]=>[2,4,5,6,3,1]=>[1,3,6,5,4,2]=>[[1,2,3],[4],[5],[6]]=>9 [4,2,6,1,3,5]=>[4,2,1,6,3,5]=>[5,3,6,1,2,4]=>[[1,3,6],[2,5],[4]]=>7 [4,2,6,1,5,3]=>[2,4,6,1,5,3]=>[3,5,1,6,4,2]=>[[1,2,4],[3,5],[6]]=>8 [4,2,6,3,1,5]=>[4,2,6,3,1,5]=>[5,1,3,6,2,4]=>[[1,3,4],[2,6],[5]]=>8 [4,2,6,3,5,1]=>[4,2,6,3,5,1]=>[1,5,3,6,2,4]=>[[1,2,4],[3,6],[5]]=>9 [4,2,6,5,1,3]=>[6,2,4,1,5,3]=>[3,5,1,4,2,6]=>[[1,2,6],[3,4],[5]]=>9 [4,2,6,5,3,1]=>[6,2,4,5,3,1]=>[1,3,5,4,2,6]=>[[1,2,3,6],[4],[5]]=>10 [4,3,1,2,5,6]=>[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>[[1,4,5],[2],[3],[6]]=>5 [4,3,1,2,6,5]=>[1,4,3,6,2,5]=>[5,2,6,3,4,1]=>[[1,3,5],[2,4],[6]]=>6 [4,3,1,5,2,6]=>[1,4,3,5,2,6]=>[6,2,5,3,4,1]=>[[1,3,5],[2],[4],[6]]=>6 [4,3,1,5,6,2]=>[1,4,3,5,6,2]=>[2,6,5,3,4,1]=>[[1,2,5],[3],[4],[6]]=>7 [4,3,1,6,2,5]=>[4,3,1,6,2,5]=>[5,2,6,1,3,4]=>[[1,3,6],[2,5],[4]]=>7 [4,3,1,6,5,2]=>[1,4,6,3,5,2]=>[2,5,3,6,4,1]=>[[1,2,4],[3,5],[6]]=>8 [4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[6,5,1,2,3,4]=>[[1,4,5,6],[2],[3]]=>6 [4,3,2,1,6,5]=>[4,3,2,6,1,5]=>[5,1,6,2,3,4]=>[[1,3,5,6],[2,4]]=>7 [4,3,2,5,1,6]=>[4,3,2,5,1,6]=>[6,1,5,2,3,4]=>[[1,3,5,6],[2],[4]]=>7 [4,3,2,5,6,1]=>[4,3,2,5,6,1]=>[1,6,5,2,3,4]=>[[1,2,5,6],[3],[4]]=>8 [4,3,2,6,1,5]=>[4,3,6,2,1,5]=>[5,1,2,6,3,4]=>[[1,3,4,6],[2,5]]=>8 [4,3,2,6,5,1]=>[4,3,6,2,5,1]=>[1,5,2,6,3,4]=>[[1,2,4,6],[3,5]]=>9 [4,3,5,1,2,6]=>[4,3,1,5,2,6]=>[6,2,5,1,3,4]=>[[1,3,6],[2,5],[4]]=>7 [4,3,5,1,6,2]=>[4,3,1,5,6,2]=>[2,6,5,1,3,4]=>[[1,2,6],[3,5],[4]]=>8 [4,3,5,2,1,6]=>[4,3,5,2,1,6]=>[6,1,2,5,3,4]=>[[1,3,4,6],[2],[5]]=>8 [4,3,5,2,6,1]=>[4,3,5,2,6,1]=>[1,6,2,5,3,4]=>[[1,2,4,6],[3],[5]]=>9 [4,3,5,6,1,2]=>[4,3,5,1,6,2]=>[2,6,1,5,3,4]=>[[1,2,6],[3,4],[5]]=>9 [4,3,5,6,2,1]=>[4,3,5,6,2,1]=>[1,2,6,5,3,4]=>[[1,2,3,6],[4],[5]]=>10 [4,3,6,1,2,5]=>[4,1,6,3,2,5]=>[5,2,3,6,1,4]=>[[1,3,4],[2,6],[5]]=>8 [4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[2,5,1,6,3,4]=>[[1,2,4],[3,5,6]]=>9 [4,3,6,2,1,5]=>[4,6,3,2,1,5]=>[5,1,2,3,6,4]=>[[1,3,4,5],[2,6]]=>9 [4,3,6,2,5,1]=>[4,6,3,2,5,1]=>[1,5,2,3,6,4]=>[[1,2,4,5],[3,6]]=>10 [4,3,6,5,1,2]=>[4,6,3,1,5,2]=>[2,5,1,3,6,4]=>[[1,2,5],[3,4,6]]=>10 [4,3,6,5,2,1]=>[4,6,3,5,2,1]=>[1,2,5,3,6,4]=>[[1,2,3,5],[4,6]]=>11 [4,5,1,2,3,6]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[[1,3],[2,5],[4],[6]]=>6 [4,5,1,2,6,3]=>[1,4,2,5,6,3]=>[3,6,5,2,4,1]=>[[1,2],[3,5],[4],[6]]=>7 [4,5,1,3,2,6]=>[1,4,5,3,2,6]=>[6,2,3,5,4,1]=>[[1,3,4],[2],[5],[6]]=>7 [4,5,1,3,6,2]=>[1,4,5,3,6,2]=>[2,6,3,5,4,1]=>[[1,2,4],[3],[5],[6]]=>8 [4,5,1,6,2,3]=>[1,4,5,2,6,3]=>[3,6,2,5,4,1]=>[[1,2],[3,4],[5],[6]]=>8 [4,5,1,6,3,2]=>[1,4,5,6,3,2]=>[2,3,6,5,4,1]=>[[1,2,3],[4],[5],[6]]=>9 [4,5,2,1,3,6]=>[4,2,1,5,3,6]=>[6,3,5,1,2,4]=>[[1,3,6],[2,5],[4]]=>7 [4,5,2,1,6,3]=>[4,2,1,5,6,3]=>[3,6,5,1,2,4]=>[[1,2,6],[3,5],[4]]=>8 [4,5,2,3,1,6]=>[4,2,5,3,1,6]=>[6,1,3,5,2,4]=>[[1,3,4],[2,6],[5]]=>8 [4,5,2,3,6,1]=>[4,2,5,3,6,1]=>[1,6,3,5,2,4]=>[[1,2,4],[3,6],[5]]=>9 [4,5,2,6,1,3]=>[4,2,5,1,6,3]=>[3,6,1,5,2,4]=>[[1,2,6],[3,4],[5]]=>9 [4,5,2,6,3,1]=>[4,2,5,6,3,1]=>[1,3,6,5,2,4]=>[[1,2,3],[4,6],[5]]=>10 [4,5,3,1,2,6]=>[4,1,5,3,2,6]=>[6,2,3,5,1,4]=>[[1,3,4],[2,6],[5]]=>8 [4,5,3,1,6,2]=>[4,1,5,3,6,2]=>[2,6,3,5,1,4]=>[[1,2,4],[3,6],[5]]=>9 [4,5,3,2,1,6]=>[4,5,3,2,1,6]=>[6,1,2,3,5,4]=>[[1,3,4,5],[2],[6]]=>9 [4,5,3,2,6,1]=>[4,5,3,2,6,1]=>[1,6,2,3,5,4]=>[[1,2,4,5],[3],[6]]=>10 [4,5,3,6,1,2]=>[4,5,3,1,6,2]=>[2,6,1,3,5,4]=>[[1,2,5],[3,4],[6]]=>10 [4,5,3,6,2,1]=>[4,5,3,6,2,1]=>[1,2,6,3,5,4]=>[[1,2,3,5],[4],[6]]=>11 [4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>[[1,2],[3,4],[5,6]]=>9 [4,5,6,1,3,2]=>[4,1,5,6,3,2]=>[2,3,6,5,1,4]=>[[1,2,3],[4,6],[5]]=>10 [4,5,6,2,1,3]=>[4,5,2,1,6,3]=>[3,6,1,2,5,4]=>[[1,2,5],[3,4],[6]]=>10 [4,5,6,2,3,1]=>[4,5,2,6,3,1]=>[1,3,6,2,5,4]=>[[1,2,3],[4,5],[6]]=>11 [4,5,6,3,1,2]=>[4,5,1,6,3,2]=>[2,3,6,1,5,4]=>[[1,2,3],[4,5],[6]]=>11 [4,5,6,3,2,1]=>[4,5,6,3,2,1]=>[1,2,3,6,5,4]=>[[1,2,3,4],[5],[6]]=>12 [4,6,1,2,3,5]=>[1,2,6,4,3,5]=>[5,3,4,6,2,1]=>[[1,3,4],[2],[5],[6]]=>7 [4,6,1,2,5,3]=>[1,4,6,2,5,3]=>[3,5,2,6,4,1]=>[[1,2,4],[3,5],[6]]=>8 [4,6,1,3,2,5]=>[6,1,4,3,2,5]=>[5,2,3,4,1,6]=>[[1,3,4,6],[2],[5]]=>8 [4,6,1,3,5,2]=>[4,1,6,3,5,2]=>[2,5,3,6,1,4]=>[[1,2,4],[3,6],[5]]=>9 [4,6,1,5,2,3]=>[4,1,6,2,5,3]=>[3,5,2,6,1,4]=>[[1,2,4],[3,6],[5]]=>9 [4,6,1,5,3,2]=>[6,1,4,5,3,2]=>[2,3,5,4,1,6]=>[[1,2,3,6],[4],[5]]=>10 [4,6,2,1,3,5]=>[2,1,6,4,3,5]=>[5,3,4,6,1,2]=>[[1,3,4],[2,6],[5]]=>8 [4,6,2,1,5,3]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[[1,2,4],[3,5,6]]=>9 [4,6,2,3,1,5]=>[2,6,4,3,1,5]=>[5,1,3,4,6,2]=>[[1,3,4,5],[2],[6]]=>9 [4,6,2,3,5,1]=>[2,6,4,3,5,1]=>[1,5,3,4,6,2]=>[[1,2,4,5],[3],[6]]=>10 [4,6,2,5,1,3]=>[4,6,2,1,5,3]=>[3,5,1,2,6,4]=>[[1,2,5],[3,4,6]]=>10 [4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[1,3,5,2,6,4]=>[[1,2,3,5],[4,6]]=>11 [4,6,3,1,2,5]=>[1,6,4,3,2,5]=>[5,2,3,4,6,1]=>[[1,3,4,5],[2],[6]]=>9 [4,6,3,1,5,2]=>[1,6,4,3,5,2]=>[2,5,3,4,6,1]=>[[1,2,4,5],[3],[6]]=>10 [4,6,3,2,1,5]=>[6,4,3,2,1,5]=>[5,1,2,3,4,6]=>[[1,3,4,5,6],[2]]=>10 [4,6,3,2,5,1]=>[6,4,3,2,5,1]=>[1,5,2,3,4,6]=>[[1,2,4,5,6],[3]]=>11 [4,6,3,5,1,2]=>[6,4,3,1,5,2]=>[2,5,1,3,4,6]=>[[1,2,5,6],[3,4]]=>11 [4,6,3,5,2,1]=>[6,4,3,5,2,1]=>[1,2,5,3,4,6]=>[[1,2,3,5,6],[4]]=>12 [4,6,5,1,2,3]=>[1,6,4,2,5,3]=>[3,5,2,4,6,1]=>[[1,2,5],[3,4],[6]]=>10 [4,6,5,1,3,2]=>[4,6,1,5,3,2]=>[2,3,5,1,6,4]=>[[1,2,3,5],[4,6]]=>11 [4,6,5,2,1,3]=>[6,4,2,1,5,3]=>[3,5,1,2,4,6]=>[[1,2,5,6],[3,4]]=>11 [4,6,5,2,3,1]=>[6,4,2,5,3,1]=>[1,3,5,2,4,6]=>[[1,2,3,6],[4,5]]=>12 [4,6,5,3,1,2]=>[6,4,1,5,3,2]=>[2,3,5,1,4,6]=>[[1,2,3,6],[4,5]]=>12 [4,6,5,3,2,1]=>[6,4,5,3,2,1]=>[1,2,3,5,4,6]=>[[1,2,3,4,6],[5]]=>13 [5,1,2,3,4,6]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[[1,3],[2],[4],[5],[6]]=>4 [5,1,2,3,6,4]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>[[1,2],[3],[4],[5],[6]]=>5 [5,1,2,4,3,6]=>[5,1,2,4,3,6]=>[6,3,4,2,1,5]=>[[1,3,6],[2],[4],[5]]=>5 [5,1,2,4,6,3]=>[5,1,2,4,6,3]=>[3,6,4,2,1,5]=>[[1,2,6],[3],[4],[5]]=>6 [5,1,2,6,3,4]=>[5,1,2,3,6,4]=>[4,6,3,2,1,5]=>[[1,2],[3,6],[4],[5]]=>6 [5,1,2,6,4,3]=>[5,6,1,2,4,3]=>[3,4,2,1,6,5]=>[[1,2,5],[3,6],[4]]=>7 [5,1,3,2,4,6]=>[3,1,2,5,4,6]=>[6,4,5,2,1,3]=>[[1,3],[2,6],[4],[5]]=>5 [5,1,3,2,6,4]=>[3,1,2,5,6,4]=>[4,6,5,2,1,3]=>[[1,2],[3,6],[4],[5]]=>6 [5,1,3,4,2,6]=>[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[[1,3,5],[2],[4],[6]]=>6 [5,1,3,4,6,2]=>[1,5,3,4,6,2]=>[2,6,4,3,5,1]=>[[1,2,5],[3],[4],[6]]=>7 [5,1,3,6,2,4]=>[3,5,1,2,6,4]=>[4,6,2,1,5,3]=>[[1,2],[3,5],[4,6]]=>7 [5,1,3,6,4,2]=>[1,5,6,3,4,2]=>[2,4,3,6,5,1]=>[[1,2,4],[3,5],[6]]=>8 [5,1,4,2,3,6]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>[[1,3,5],[2],[4],[6]]=>6 [5,1,4,2,6,3]=>[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[[1,2,5],[3],[4],[6]]=>7 [5,1,4,3,2,6]=>[5,4,1,3,2,6]=>[6,2,3,1,4,5]=>[[1,3,5,6],[2],[4]]=>7 [5,1,4,3,6,2]=>[5,4,1,3,6,2]=>[2,6,3,1,4,5]=>[[1,2,5,6],[3],[4]]=>8 [5,1,4,6,2,3]=>[5,4,1,2,6,3]=>[3,6,2,1,4,5]=>[[1,2,6],[3,5],[4]]=>8 [5,1,4,6,3,2]=>[5,4,6,1,3,2]=>[2,3,1,6,4,5]=>[[1,2,4,6],[3,5]]=>9 [5,1,6,2,3,4]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[[1,2],[3,5],[4],[6]]=>7 [5,1,6,2,4,3]=>[1,5,6,2,4,3]=>[3,4,2,6,5,1]=>[[1,2,4],[3,5],[6]]=>8 [5,1,6,3,2,4]=>[5,3,1,2,6,4]=>[4,6,2,1,3,5]=>[[1,2,6],[3,5],[4]]=>8 [5,1,6,3,4,2]=>[5,1,6,3,4,2]=>[2,4,3,6,1,5]=>[[1,2,4],[3,6],[5]]=>9 [5,1,6,4,2,3]=>[5,1,6,2,4,3]=>[3,4,2,6,1,5]=>[[1,2,4],[3,6],[5]]=>9 [5,1,6,4,3,2]=>[5,6,4,1,3,2]=>[2,3,1,4,6,5]=>[[1,2,4,5],[3,6]]=>10 [5,2,1,3,4,6]=>[2,1,3,5,4,6]=>[6,4,5,3,1,2]=>[[1,3],[2,6],[4],[5]]=>5 [5,2,1,3,6,4]=>[2,1,3,5,6,4]=>[4,6,5,3,1,2]=>[[1,2],[3,6],[4],[5]]=>6 [5,2,1,4,3,6]=>[2,5,1,4,3,6]=>[6,3,4,1,5,2]=>[[1,3,5],[2,6],[4]]=>6 [5,2,1,4,6,3]=>[2,5,1,4,6,3]=>[3,6,4,1,5,2]=>[[1,2,5],[3,6],[4]]=>7 [5,2,1,6,3,4]=>[2,5,1,3,6,4]=>[4,6,3,1,5,2]=>[[1,2],[3,5],[4,6]]=>7 [5,2,1,6,4,3]=>[2,5,6,1,4,3]=>[3,4,1,6,5,2]=>[[1,2,4],[3,5],[6]]=>8 [5,2,3,1,4,6]=>[2,3,1,5,4,6]=>[6,4,5,1,3,2]=>[[1,3],[2,5],[4],[6]]=>6 [5,2,3,1,6,4]=>[2,3,1,5,6,4]=>[4,6,5,1,3,2]=>[[1,2],[3,5],[4],[6]]=>7 [5,2,3,4,1,6]=>[2,3,5,4,1,6]=>[6,1,4,5,3,2]=>[[1,3,4],[2],[5],[6]]=>7 [5,2,3,4,6,1]=>[2,3,5,4,6,1]=>[1,6,4,5,3,2]=>[[1,2,4],[3],[5],[6]]=>8 [5,2,3,6,1,4]=>[2,3,5,1,6,4]=>[4,6,1,5,3,2]=>[[1,2],[3,4],[5],[6]]=>8 [5,2,3,6,4,1]=>[2,3,5,6,4,1]=>[1,4,6,5,3,2]=>[[1,2,3],[4],[5],[6]]=>9 [5,2,4,1,3,6]=>[5,2,1,4,3,6]=>[6,3,4,1,2,5]=>[[1,3,6],[2,5],[4]]=>7 [5,2,4,1,6,3]=>[5,2,1,4,6,3]=>[3,6,4,1,2,5]=>[[1,2,6],[3,5],[4]]=>8 [5,2,4,3,1,6]=>[5,2,4,3,1,6]=>[6,1,3,4,2,5]=>[[1,3,4,6],[2],[5]]=>8 [5,2,4,3,6,1]=>[5,2,4,3,6,1]=>[1,6,3,4,2,5]=>[[1,2,4,6],[3],[5]]=>9 [5,2,4,6,1,3]=>[5,2,4,1,6,3]=>[3,6,1,4,2,5]=>[[1,2,6],[3,4],[5]]=>9 [5,2,4,6,3,1]=>[5,2,4,6,3,1]=>[1,3,6,4,2,5]=>[[1,2,3,6],[4],[5]]=>10 [5,2,6,1,3,4]=>[5,2,1,3,6,4]=>[4,6,3,1,2,5]=>[[1,2,6],[3,5],[4]]=>8 [5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[3,4,1,6,2,5]=>[[1,2,4],[3,5,6]]=>9 [5,2,6,3,1,4]=>[5,2,3,1,6,4]=>[4,6,1,3,2,5]=>[[1,2,6],[3,4],[5]]=>9 [5,2,6,3,4,1]=>[5,2,3,6,4,1]=>[1,4,6,3,2,5]=>[[1,2,3],[4,6],[5]]=>10 [5,2,6,4,1,3]=>[5,6,2,1,4,3]=>[3,4,1,2,6,5]=>[[1,2,5],[3,4,6]]=>10 [5,2,6,4,3,1]=>[5,6,2,4,3,1]=>[1,3,4,2,6,5]=>[[1,2,3,5],[4,6]]=>11 [5,3,1,2,4,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>6 [5,3,1,2,6,4]=>[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>[[1,2],[3,5],[4],[6]]=>7 [5,3,1,4,2,6]=>[1,3,5,4,2,6]=>[6,2,4,5,3,1]=>[[1,3,4],[2],[5],[6]]=>7 [5,3,1,4,6,2]=>[1,3,5,4,6,2]=>[2,6,4,5,3,1]=>[[1,2,4],[3],[5],[6]]=>8 [5,3,1,6,2,4]=>[1,3,5,2,6,4]=>[4,6,2,5,3,1]=>[[1,2],[3,4],[5],[6]]=>8 [5,3,1,6,4,2]=>[1,3,5,6,4,2]=>[2,4,6,5,3,1]=>[[1,2,3],[4],[5],[6]]=>9 [5,3,2,1,4,6]=>[3,2,1,5,4,6]=>[6,4,5,1,2,3]=>[[1,3,6],[2,5],[4]]=>7 [5,3,2,1,6,4]=>[3,2,1,5,6,4]=>[4,6,5,1,2,3]=>[[1,2,6],[3,5],[4]]=>8 [5,3,2,4,1,6]=>[3,2,5,4,1,6]=>[6,1,4,5,2,3]=>[[1,3,4],[2,6],[5]]=>8 [5,3,2,4,6,1]=>[3,2,5,4,6,1]=>[1,6,4,5,2,3]=>[[1,2,4],[3,6],[5]]=>9 [5,3,2,6,1,4]=>[3,2,5,1,6,4]=>[4,6,1,5,2,3]=>[[1,2,6],[3,4],[5]]=>9 [5,3,2,6,4,1]=>[3,2,5,6,4,1]=>[1,4,6,5,2,3]=>[[1,2,3],[4,6],[5]]=>10 [5,3,4,1,2,6]=>[3,1,5,4,2,6]=>[6,2,4,5,1,3]=>[[1,3,4],[2,6],[5]]=>8 [5,3,4,1,6,2]=>[3,1,5,4,6,2]=>[2,6,4,5,1,3]=>[[1,2,4],[3,6],[5]]=>9 [5,3,4,2,1,6]=>[3,5,4,2,1,6]=>[6,1,2,4,5,3]=>[[1,3,4,5],[2],[6]]=>9 [5,3,4,2,6,1]=>[3,5,4,2,6,1]=>[1,6,2,4,5,3]=>[[1,2,4,5],[3],[6]]=>10 [5,3,4,6,1,2]=>[3,5,4,1,6,2]=>[2,6,1,4,5,3]=>[[1,2,5],[3,4],[6]]=>10 [5,3,4,6,2,1]=>[3,5,4,6,2,1]=>[1,2,6,4,5,3]=>[[1,2,3,5],[4],[6]]=>11 [5,3,6,1,2,4]=>[3,1,5,2,6,4]=>[4,6,2,5,1,3]=>[[1,2],[3,4],[5,6]]=>9 [5,3,6,1,4,2]=>[3,1,5,6,4,2]=>[2,4,6,5,1,3]=>[[1,2,3],[4,6],[5]]=>10 [5,3,6,2,1,4]=>[3,5,2,1,6,4]=>[4,6,1,2,5,3]=>[[1,2,5],[3,4],[6]]=>10 [5,3,6,2,4,1]=>[3,5,2,6,4,1]=>[1,4,6,2,5,3]=>[[1,2,3],[4,5],[6]]=>11 [5,3,6,4,1,2]=>[3,5,1,6,4,2]=>[2,4,6,1,5,3]=>[[1,2,3],[4,5],[6]]=>11 [5,3,6,4,2,1]=>[3,5,6,4,2,1]=>[1,2,4,6,5,3]=>[[1,2,3,4],[5],[6]]=>12 [5,4,1,2,3,6]=>[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>[[1,3,4],[2],[5],[6]]=>7 [5,4,1,2,6,3]=>[1,2,5,4,6,3]=>[3,6,4,5,2,1]=>[[1,2,4],[3],[5],[6]]=>8 [5,4,1,3,2,6]=>[5,1,4,3,2,6]=>[6,2,3,4,1,5]=>[[1,3,4,6],[2],[5]]=>8 [5,4,1,3,6,2]=>[5,1,4,3,6,2]=>[2,6,3,4,1,5]=>[[1,2,4,6],[3],[5]]=>9 [5,4,1,6,2,3]=>[5,1,4,2,6,3]=>[3,6,2,4,1,5]=>[[1,2,6],[3,4],[5]]=>9 [5,4,1,6,3,2]=>[5,1,4,6,3,2]=>[2,3,6,4,1,5]=>[[1,2,3,6],[4],[5]]=>10 [5,4,2,1,3,6]=>[2,1,5,4,3,6]=>[6,3,4,5,1,2]=>[[1,3,4],[2,6],[5]]=>8 [5,4,2,1,6,3]=>[2,1,5,4,6,3]=>[3,6,4,5,1,2]=>[[1,2,4],[3,6],[5]]=>9 [5,4,2,3,1,6]=>[2,5,4,3,1,6]=>[6,1,3,4,5,2]=>[[1,3,4,5],[2],[6]]=>9 [5,4,2,3,6,1]=>[2,5,4,3,6,1]=>[1,6,3,4,5,2]=>[[1,2,4,5],[3],[6]]=>10 [5,4,2,6,1,3]=>[2,5,4,1,6,3]=>[3,6,1,4,5,2]=>[[1,2,5],[3,4],[6]]=>10 [5,4,2,6,3,1]=>[2,5,4,6,3,1]=>[1,3,6,4,5,2]=>[[1,2,3,5],[4],[6]]=>11 [5,4,3,1,2,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[[1,3,4,5],[2],[6]]=>9 [5,4,3,1,6,2]=>[1,5,4,3,6,2]=>[2,6,3,4,5,1]=>[[1,2,4,5],[3],[6]]=>10 [5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>[[1,3,4,5,6],[2]]=>10 [5,4,3,2,6,1]=>[5,4,3,2,6,1]=>[1,6,2,3,4,5]=>[[1,2,4,5,6],[3]]=>11 [5,4,3,6,1,2]=>[5,4,3,1,6,2]=>[2,6,1,3,4,5]=>[[1,2,5,6],[3,4]]=>11 [5,4,3,6,2,1]=>[5,4,3,6,2,1]=>[1,2,6,3,4,5]=>[[1,2,3,5,6],[4]]=>12 [5,4,6,1,2,3]=>[1,5,4,2,6,3]=>[3,6,2,4,5,1]=>[[1,2,5],[3,4],[6]]=>10 [5,4,6,1,3,2]=>[1,5,4,6,3,2]=>[2,3,6,4,5,1]=>[[1,2,3,5],[4],[6]]=>11 [5,4,6,2,1,3]=>[5,4,2,1,6,3]=>[3,6,1,2,4,5]=>[[1,2,5,6],[3,4]]=>11 [5,4,6,2,3,1]=>[5,4,2,6,3,1]=>[1,3,6,2,4,5]=>[[1,2,3,6],[4,5]]=>12 [5,4,6,3,1,2]=>[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>[[1,2,3,6],[4,5]]=>12 [5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[1,2,3,6,4,5]=>[[1,2,3,4,6],[5]]=>13 [5,6,1,2,3,4]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>[[1,2],[3,4],[5],[6]]=>8 [5,6,1,2,4,3]=>[1,2,5,6,4,3]=>[3,4,6,5,2,1]=>[[1,2,3],[4],[5],[6]]=>9 [5,6,1,3,2,4]=>[5,1,3,2,6,4]=>[4,6,2,3,1,5]=>[[1,2,6],[3,4],[5]]=>9 [5,6,1,3,4,2]=>[5,1,3,6,4,2]=>[2,4,6,3,1,5]=>[[1,2,3],[4,6],[5]]=>10 [5,6,1,4,2,3]=>[5,1,2,6,4,3]=>[3,4,6,2,1,5]=>[[1,2,3],[4,6],[5]]=>10 [5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[2,3,4,1,6,5]=>[[1,2,3,5],[4,6]]=>11 [5,6,2,1,3,4]=>[2,1,5,3,6,4]=>[4,6,3,5,1,2]=>[[1,2],[3,4],[5,6]]=>9 [5,6,2,1,4,3]=>[2,1,5,6,4,3]=>[3,4,6,5,1,2]=>[[1,2,3],[4,6],[5]]=>10 [5,6,2,3,1,4]=>[2,5,3,1,6,4]=>[4,6,1,3,5,2]=>[[1,2,5],[3,4],[6]]=>10 [5,6,2,3,4,1]=>[2,5,3,6,4,1]=>[1,4,6,3,5,2]=>[[1,2,3],[4,5],[6]]=>11 [5,6,2,4,1,3]=>[2,5,1,6,4,3]=>[3,4,6,1,5,2]=>[[1,2,3],[4,5],[6]]=>11 [5,6,2,4,3,1]=>[2,5,6,4,3,1]=>[1,3,4,6,5,2]=>[[1,2,3,4],[5],[6]]=>12 [5,6,3,1,2,4]=>[1,5,3,2,6,4]=>[4,6,2,3,5,1]=>[[1,2,5],[3,4],[6]]=>10 [5,6,3,1,4,2]=>[1,5,3,6,4,2]=>[2,4,6,3,5,1]=>[[1,2,3],[4,5],[6]]=>11 [5,6,3,2,1,4]=>[5,3,2,1,6,4]=>[4,6,1,2,3,5]=>[[1,2,5,6],[3,4]]=>11 [5,6,3,2,4,1]=>[5,3,2,6,4,1]=>[1,4,6,2,3,5]=>[[1,2,3,6],[4,5]]=>12 [5,6,3,4,1,2]=>[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>[[1,2,3],[4,5,6]]=>12 [5,6,3,4,2,1]=>[5,3,6,4,2,1]=>[1,2,4,6,3,5]=>[[1,2,3,4],[5,6]]=>13 [5,6,4,1,2,3]=>[1,5,2,6,4,3]=>[3,4,6,2,5,1]=>[[1,2,3],[4,5],[6]]=>11 [5,6,4,1,3,2]=>[1,5,6,4,3,2]=>[2,3,4,6,5,1]=>[[1,2,3,4],[5],[6]]=>12 [5,6,4,2,1,3]=>[5,2,1,6,4,3]=>[3,4,6,1,2,5]=>[[1,2,3],[4,5,6]]=>12 [5,6,4,2,3,1]=>[5,2,6,4,3,1]=>[1,3,4,6,2,5]=>[[1,2,3,4],[5,6]]=>13 [5,6,4,3,1,2]=>[5,1,6,4,3,2]=>[2,3,4,6,1,5]=>[[1,2,3,4],[5,6]]=>13 [5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[1,2,3,4,6,5]=>[[1,2,3,4,5],[6]]=>14 [6,1,2,3,4,5]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[[1,2],[3],[4],[5],[6]]=>5 [6,1,2,3,5,4]=>[6,1,2,3,5,4]=>[4,5,3,2,1,6]=>[[1,2,6],[3],[4],[5]]=>6 [6,1,2,4,3,5]=>[4,1,2,3,6,5]=>[5,6,3,2,1,4]=>[[1,2],[3,6],[4],[5]]=>6 [6,1,2,4,5,3]=>[1,6,2,4,5,3]=>[3,5,4,2,6,1]=>[[1,2,5],[3],[4],[6]]=>7 [6,1,2,5,3,4]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[[1,2,5],[3],[4],[6]]=>7 [6,1,2,5,4,3]=>[6,5,1,2,4,3]=>[3,4,2,1,5,6]=>[[1,2,5,6],[3],[4]]=>8 [6,1,3,2,4,5]=>[3,1,2,4,6,5]=>[5,6,4,2,1,3]=>[[1,2],[3,6],[4],[5]]=>6 [6,1,3,2,5,4]=>[3,6,1,2,5,4]=>[4,5,2,1,6,3]=>[[1,2,5],[3,6],[4]]=>7 [6,1,3,4,2,5]=>[3,4,1,2,6,5]=>[5,6,2,1,4,3]=>[[1,2],[3,5],[4,6]]=>7 [6,1,3,4,5,2]=>[1,3,6,4,5,2]=>[2,5,4,6,3,1]=>[[1,2,4],[3],[5],[6]]=>8 [6,1,3,5,2,4]=>[6,3,1,2,5,4]=>[4,5,2,1,3,6]=>[[1,2,6],[3,5],[4]]=>8 [6,1,3,5,4,2]=>[6,1,5,3,4,2]=>[2,4,3,5,1,6]=>[[1,2,4,6],[3],[5]]=>9 [6,1,4,2,3,5]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>[[1,2],[3,5],[4],[6]]=>7 [6,1,4,2,5,3]=>[1,2,6,4,5,3]=>[3,5,4,6,2,1]=>[[1,2,4],[3],[5],[6]]=>8 [6,1,4,3,2,5]=>[4,3,1,2,6,5]=>[5,6,2,1,3,4]=>[[1,2,6],[3,5],[4]]=>8 [6,1,4,3,5,2]=>[6,1,4,3,5,2]=>[2,5,3,4,1,6]=>[[1,2,4,6],[3],[5]]=>9 [6,1,4,5,2,3]=>[6,1,4,2,5,3]=>[3,5,2,4,1,6]=>[[1,2,6],[3,4],[5]]=>9 [6,1,4,5,3,2]=>[4,6,5,1,3,2]=>[2,3,1,5,6,4]=>[[1,2,4,5],[3,6]]=>10 [6,1,5,2,3,4]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>[[1,2,4],[3],[5],[6]]=>8 [6,1,5,2,4,3]=>[6,1,5,2,4,3]=>[3,4,2,5,1,6]=>[[1,2,4,6],[3],[5]]=>9 [6,1,5,3,2,4]=>[6,1,3,2,5,4]=>[4,5,2,3,1,6]=>[[1,2,6],[3,4],[5]]=>9 [6,1,5,3,4,2]=>[1,6,5,3,4,2]=>[2,4,3,5,6,1]=>[[1,2,4,5],[3],[6]]=>10 [6,1,5,4,2,3]=>[1,6,5,2,4,3]=>[3,4,2,5,6,1]=>[[1,2,4,5],[3],[6]]=>10 [6,1,5,4,3,2]=>[6,5,4,1,3,2]=>[2,3,1,4,5,6]=>[[1,2,4,5,6],[3]]=>11 [6,2,1,3,4,5]=>[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[[1,2],[3,6],[4],[5]]=>6 [6,2,1,3,5,4]=>[2,6,1,3,5,4]=>[4,5,3,1,6,2]=>[[1,2,5],[3,6],[4]]=>7 [6,2,1,4,3,5]=>[2,4,1,3,6,5]=>[5,6,3,1,4,2]=>[[1,2],[3,5],[4,6]]=>7 [6,2,1,4,5,3]=>[6,2,1,4,5,3]=>[3,5,4,1,2,6]=>[[1,2,6],[3,5],[4]]=>8 [6,2,1,5,3,4]=>[6,2,1,3,5,4]=>[4,5,3,1,2,6]=>[[1,2,6],[3,5],[4]]=>8 [6,2,1,5,4,3]=>[6,2,5,1,4,3]=>[3,4,1,5,2,6]=>[[1,2,4,6],[3,5]]=>9 [6,2,3,1,4,5]=>[2,3,1,4,6,5]=>[5,6,4,1,3,2]=>[[1,2],[3,5],[4],[6]]=>7 [6,2,3,1,5,4]=>[2,3,6,1,5,4]=>[4,5,1,6,3,2]=>[[1,2,4],[3,5],[6]]=>8 [6,2,3,4,1,5]=>[2,3,4,1,6,5]=>[5,6,1,4,3,2]=>[[1,2],[3,4],[5],[6]]=>8 [6,2,3,4,5,1]=>[2,3,4,6,5,1]=>[1,5,6,4,3,2]=>[[1,2,3],[4],[5],[6]]=>9 [6,2,3,5,1,4]=>[6,2,3,1,5,4]=>[4,5,1,3,2,6]=>[[1,2,6],[3,4],[5]]=>9 [6,2,3,5,4,1]=>[6,2,3,5,4,1]=>[1,4,5,3,2,6]=>[[1,2,3,6],[4],[5]]=>10 [6,2,4,1,3,5]=>[4,2,1,3,6,5]=>[5,6,3,1,2,4]=>[[1,2,6],[3,5],[4]]=>8 [6,2,4,1,5,3]=>[2,1,6,4,5,3]=>[3,5,4,6,1,2]=>[[1,2,4],[3,6],[5]]=>9 [6,2,4,3,1,5]=>[4,2,3,1,6,5]=>[5,6,1,3,2,4]=>[[1,2,6],[3,4],[5]]=>9 [6,2,4,3,5,1]=>[4,2,3,6,5,1]=>[1,5,6,3,2,4]=>[[1,2,3],[4,6],[5]]=>10 [6,2,4,5,1,3]=>[2,6,4,1,5,3]=>[3,5,1,4,6,2]=>[[1,2,5],[3,4],[6]]=>10 [6,2,4,5,3,1]=>[2,6,4,5,3,1]=>[1,3,5,4,6,2]=>[[1,2,3,5],[4],[6]]=>11 [6,2,5,1,3,4]=>[2,1,6,3,5,4]=>[4,5,3,6,1,2]=>[[1,2,4],[3,6],[5]]=>9 [6,2,5,1,4,3]=>[2,6,5,1,4,3]=>[3,4,1,5,6,2]=>[[1,2,4,5],[3,6]]=>10 [6,2,5,3,1,4]=>[2,6,3,1,5,4]=>[4,5,1,3,6,2]=>[[1,2,5],[3,4],[6]]=>10 [6,2,5,3,4,1]=>[2,6,3,5,4,1]=>[1,4,5,3,6,2]=>[[1,2,3,5],[4],[6]]=>11 [6,2,5,4,1,3]=>[6,5,2,1,4,3]=>[3,4,1,2,5,6]=>[[1,2,5,6],[3,4]]=>11 [6,2,5,4,3,1]=>[6,5,2,4,3,1]=>[1,3,4,2,5,6]=>[[1,2,3,5,6],[4]]=>12 [6,3,1,2,4,5]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>[[1,2],[3,5],[4],[6]]=>7 [6,3,1,2,5,4]=>[1,3,6,2,5,4]=>[4,5,2,6,3,1]=>[[1,2,4],[3,5],[6]]=>8 [6,3,1,4,2,5]=>[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>[[1,2],[3,4],[5],[6]]=>8 [6,3,1,4,5,2]=>[1,3,4,6,5,2]=>[2,5,6,4,3,1]=>[[1,2,3],[4],[5],[6]]=>9 [6,3,1,5,2,4]=>[3,1,6,2,5,4]=>[4,5,2,6,1,3]=>[[1,2,4],[3,6],[5]]=>9 [6,3,1,5,4,2]=>[6,1,3,5,4,2]=>[2,4,5,3,1,6]=>[[1,2,3,6],[4],[5]]=>10 [6,3,2,1,4,5]=>[3,2,1,4,6,5]=>[5,6,4,1,2,3]=>[[1,2,6],[3,5],[4]]=>8 [6,3,2,1,5,4]=>[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[[1,2,4],[3,5,6]]=>9 [6,3,2,4,1,5]=>[3,2,4,1,6,5]=>[5,6,1,4,2,3]=>[[1,2,6],[3,4],[5]]=>9 [6,3,2,4,5,1]=>[3,2,4,6,5,1]=>[1,5,6,4,2,3]=>[[1,2,3],[4,6],[5]]=>10 [6,3,2,5,1,4]=>[3,6,2,1,5,4]=>[4,5,1,2,6,3]=>[[1,2,5],[3,4,6]]=>10 [6,3,2,5,4,1]=>[3,6,2,5,4,1]=>[1,4,5,2,6,3]=>[[1,2,3,5],[4,6]]=>11 [6,3,4,1,2,5]=>[3,1,4,2,6,5]=>[5,6,2,4,1,3]=>[[1,2],[3,4],[5,6]]=>9 [6,3,4,1,5,2]=>[3,1,4,6,5,2]=>[2,5,6,4,1,3]=>[[1,2,3],[4,6],[5]]=>10 [6,3,4,2,1,5]=>[3,4,2,1,6,5]=>[5,6,1,2,4,3]=>[[1,2,5],[3,4],[6]]=>10 [6,3,4,2,5,1]=>[3,4,2,6,5,1]=>[1,5,6,2,4,3]=>[[1,2,3],[4,5],[6]]=>11 [6,3,4,5,1,2]=>[3,4,1,6,5,2]=>[2,5,6,1,4,3]=>[[1,2,3],[4,5],[6]]=>11 [6,3,4,5,2,1]=>[3,4,6,5,2,1]=>[1,2,5,6,4,3]=>[[1,2,3,4],[5],[6]]=>12 [6,3,5,1,2,4]=>[1,6,3,2,5,4]=>[4,5,2,3,6,1]=>[[1,2,5],[3,4],[6]]=>10 [6,3,5,1,4,2]=>[3,6,1,5,4,2]=>[2,4,5,1,6,3]=>[[1,2,3,5],[4,6]]=>11 [6,3,5,2,1,4]=>[6,3,2,1,5,4]=>[4,5,1,2,3,6]=>[[1,2,5,6],[3,4]]=>11 [6,3,5,2,4,1]=>[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[[1,2,3,6],[4,5]]=>12 [6,3,5,4,1,2]=>[6,3,1,5,4,2]=>[2,4,5,1,3,6]=>[[1,2,3,6],[4,5]]=>12 [6,3,5,4,2,1]=>[6,3,5,4,2,1]=>[1,2,4,5,3,6]=>[[1,2,3,4,6],[5]]=>13 [6,4,1,2,3,5]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>[[1,2],[3,4],[5],[6]]=>8 [6,4,1,2,5,3]=>[1,2,4,6,5,3]=>[3,5,6,4,2,1]=>[[1,2,3],[4],[5],[6]]=>9 [6,4,1,3,2,5]=>[4,1,3,2,6,5]=>[5,6,2,3,1,4]=>[[1,2,6],[3,4],[5]]=>9 [6,4,1,3,5,2]=>[4,1,3,6,5,2]=>[2,5,6,3,1,4]=>[[1,2,3],[4,6],[5]]=>10 [6,4,1,5,2,3]=>[4,1,2,6,5,3]=>[3,5,6,2,1,4]=>[[1,2,3],[4,6],[5]]=>10 [6,4,1,5,3,2]=>[1,6,4,5,3,2]=>[2,3,5,4,6,1]=>[[1,2,3,5],[4],[6]]=>11 [6,4,2,1,3,5]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[[1,2],[3,4],[5,6]]=>9 [6,4,2,1,5,3]=>[2,1,4,6,5,3]=>[3,5,6,4,1,2]=>[[1,2,3],[4,6],[5]]=>10 [6,4,2,3,1,5]=>[2,4,3,1,6,5]=>[5,6,1,3,4,2]=>[[1,2,5],[3,4],[6]]=>10 [6,4,2,3,5,1]=>[2,4,3,6,5,1]=>[1,5,6,3,4,2]=>[[1,2,3],[4,5],[6]]=>11 [6,4,2,5,1,3]=>[2,4,1,6,5,3]=>[3,5,6,1,4,2]=>[[1,2,3],[4,5],[6]]=>11 [6,4,2,5,3,1]=>[2,4,6,5,3,1]=>[1,3,5,6,4,2]=>[[1,2,3,4],[5],[6]]=>12 [6,4,3,1,2,5]=>[1,4,3,2,6,5]=>[5,6,2,3,4,1]=>[[1,2,5],[3,4],[6]]=>10 [6,4,3,1,5,2]=>[1,4,3,6,5,2]=>[2,5,6,3,4,1]=>[[1,2,3],[4,5],[6]]=>11 [6,4,3,2,1,5]=>[4,3,2,1,6,5]=>[5,6,1,2,3,4]=>[[1,2,5,6],[3,4]]=>11 [6,4,3,2,5,1]=>[4,3,2,6,5,1]=>[1,5,6,2,3,4]=>[[1,2,3,6],[4,5]]=>12 [6,4,3,5,1,2]=>[4,3,1,6,5,2]=>[2,5,6,1,3,4]=>[[1,2,3],[4,5,6]]=>12 [6,4,3,5,2,1]=>[4,3,6,5,2,1]=>[1,2,5,6,3,4]=>[[1,2,3,4],[5,6]]=>13 [6,4,5,1,2,3]=>[1,4,2,6,5,3]=>[3,5,6,2,4,1]=>[[1,2,3],[4,5],[6]]=>11 [6,4,5,1,3,2]=>[1,4,6,5,3,2]=>[2,3,5,6,4,1]=>[[1,2,3,4],[5],[6]]=>12 [6,4,5,2,1,3]=>[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>[[1,2,3],[4,5,6]]=>12 [6,4,5,2,3,1]=>[4,2,6,5,3,1]=>[1,3,5,6,2,4]=>[[1,2,3,4],[5,6]]=>13 [6,4,5,3,1,2]=>[4,1,6,5,3,2]=>[2,3,5,6,1,4]=>[[1,2,3,4],[5,6]]=>13 [6,4,5,3,2,1]=>[4,6,5,3,2,1]=>[1,2,3,5,6,4]=>[[1,2,3,4,5],[6]]=>14 [6,5,1,2,3,4]=>[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>[[1,2,3],[4],[5],[6]]=>9 [6,5,1,2,4,3]=>[6,1,2,5,4,3]=>[3,4,5,2,1,6]=>[[1,2,3,6],[4],[5]]=>10 [6,5,1,3,2,4]=>[3,1,2,6,5,4]=>[4,5,6,2,1,3]=>[[1,2,3],[4,6],[5]]=>10 [6,5,1,3,4,2]=>[1,6,3,5,4,2]=>[2,4,5,3,6,1]=>[[1,2,3,5],[4],[6]]=>11 [6,5,1,4,2,3]=>[1,6,2,5,4,3]=>[3,4,5,2,6,1]=>[[1,2,3,5],[4],[6]]=>11 [6,5,1,4,3,2]=>[6,5,1,4,3,2]=>[2,3,4,1,5,6]=>[[1,2,3,5,6],[4]]=>12 [6,5,2,1,3,4]=>[2,1,3,6,5,4]=>[4,5,6,3,1,2]=>[[1,2,3],[4,6],[5]]=>10 [6,5,2,1,4,3]=>[2,6,1,5,4,3]=>[3,4,5,1,6,2]=>[[1,2,3,5],[4,6]]=>11 [6,5,2,3,1,4]=>[2,3,1,6,5,4]=>[4,5,6,1,3,2]=>[[1,2,3],[4,5],[6]]=>11 [6,5,2,3,4,1]=>[2,3,6,5,4,1]=>[1,4,5,6,3,2]=>[[1,2,3,4],[5],[6]]=>12 [6,5,2,4,1,3]=>[6,2,1,5,4,3]=>[3,4,5,1,2,6]=>[[1,2,3,6],[4,5]]=>12 [6,5,2,4,3,1]=>[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[[1,2,3,4,6],[5]]=>13 [6,5,3,1,2,4]=>[1,3,2,6,5,4]=>[4,5,6,2,3,1]=>[[1,2,3],[4,5],[6]]=>11 [6,5,3,1,4,2]=>[1,3,6,5,4,2]=>[2,4,5,6,3,1]=>[[1,2,3,4],[5],[6]]=>12 [6,5,3,2,1,4]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[1,2,3],[4,5,6]]=>12 [6,5,3,2,4,1]=>[3,2,6,5,4,1]=>[1,4,5,6,2,3]=>[[1,2,3,4],[5,6]]=>13 [6,5,3,4,1,2]=>[3,1,6,5,4,2]=>[2,4,5,6,1,3]=>[[1,2,3,4],[5,6]]=>13 [6,5,3,4,2,1]=>[3,6,5,4,2,1]=>[1,2,4,5,6,3]=>[[1,2,3,4,5],[6]]=>14 [6,5,4,1,2,3]=>[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>[[1,2,3,4],[5],[6]]=>12 [6,5,4,1,3,2]=>[6,1,5,4,3,2]=>[2,3,4,5,1,6]=>[[1,2,3,4,6],[5]]=>13 [6,5,4,2,1,3]=>[2,1,6,5,4,3]=>[3,4,5,6,1,2]=>[[1,2,3,4],[5,6]]=>13 [6,5,4,2,3,1]=>[2,6,5,4,3,1]=>[1,3,4,5,6,2]=>[[1,2,3,4,5],[6]]=>14 [6,5,4,3,1,2]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[1,2,3,4,5],[6]]=>14 [6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[[1,2,3,4,5,6]]=>15 [1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>0 [1,2,3,4,5,7,6]=>[7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7]=>[[1,7],[2],[3],[4],[5],[6]]=>1 [1,2,3,4,6,5,7]=>[6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6]=>[[1,7],[2],[3],[4],[5],[6]]=>1 [1,2,3,4,6,7,5]=>[6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6]=>[[1,6],[2,7],[3],[4],[5]]=>2 [1,2,3,4,7,5,6]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>[[1,6],[2],[3],[4],[5],[7]]=>2 [1,2,3,4,7,6,5]=>[7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7]=>[[1,6,7],[2],[3],[4],[5]]=>3 [1,2,3,5,4,6,7]=>[5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5]=>[[1,7],[2],[3],[4],[5],[6]]=>1 [1,2,3,5,4,7,6]=>[5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5]=>[[1,6],[2,7],[3],[4],[5]]=>2 [1,2,3,5,6,4,7]=>[5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5]=>[[1,6],[2,7],[3],[4],[5]]=>2 [1,2,3,5,6,7,4]=>[5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5]=>[[1,5],[2,6],[3,7],[4]]=>3 [1,2,3,5,7,4,6]=>[7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7]=>[[1,6,7],[2],[3],[4],[5]]=>3 [1,2,3,5,7,6,4]=>[7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7]=>[[1,5,7],[2,6],[3],[4]]=>4 [1,2,3,6,4,5,7]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>[[1,6],[2],[3],[4],[5],[7]]=>2 [1,2,3,6,4,7,5]=>[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>[[1,5],[2,6],[3],[4],[7]]=>3 [1,2,3,6,5,4,7]=>[6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6]=>[[1,6,7],[2],[3],[4],[5]]=>3 [1,2,3,6,5,7,4]=>[6,5,7,1,2,3,4]=>[4,3,2,1,7,5,6]=>[[1,5,7],[2,6],[3],[4]]=>4 [1,2,3,6,7,4,5]=>[6,1,7,2,3,4,5]=>[5,4,3,2,7,1,6]=>[[1,5],[2,7],[3],[4],[6]]=>4 [1,2,3,6,7,5,4]=>[6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6]=>[[1,5,6],[2,7],[3],[4]]=>5 [1,2,3,7,4,5,6]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>3 [1,2,3,7,4,6,5]=>[7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>4 [1,2,3,7,5,4,6]=>[7,1,5,2,3,4,6]=>[6,4,3,2,5,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>4 [1,2,3,7,5,6,4]=>[5,7,6,1,2,3,4]=>[4,3,2,1,6,7,5]=>[[1,5,6],[2,7],[3],[4]]=>5 [1,2,3,7,6,4,5]=>[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>[[1,5,6],[2],[3],[4],[7]]=>5 [1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7]=>[[1,5,6,7],[2],[3],[4]]=>6 [1,2,4,3,5,6,7]=>[4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4]=>[[1,7],[2],[3],[4],[5],[6]]=>1 [1,2,4,3,5,7,6]=>[4,7,1,2,3,5,6]=>[6,5,3,2,1,7,4]=>[[1,6],[2,7],[3],[4],[5]]=>2 [1,2,4,3,6,5,7]=>[4,6,1,2,3,5,7]=>[7,5,3,2,1,6,4]=>[[1,6],[2,7],[3],[4],[5]]=>2 [1,2,4,3,6,7,5]=>[4,6,7,1,2,3,5]=>[5,3,2,1,7,6,4]=>[[1,5],[2,6],[3,7],[4]]=>3 [1,2,4,3,7,5,6]=>[7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7]=>[[1,6,7],[2],[3],[4],[5]]=>3 [1,2,4,3,7,6,5]=>[7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7]=>[[1,5,7],[2,6],[3],[4]]=>4 [1,2,4,5,3,6,7]=>[4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4]=>[[1,6],[2,7],[3],[4],[5]]=>2 [1,2,4,5,3,7,6]=>[4,5,7,1,2,3,6]=>[6,3,2,1,7,5,4]=>[[1,5],[2,6],[3,7],[4]]=>3 [1,2,4,5,6,3,7]=>[4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4]=>[[1,5],[2,6],[3,7],[4]]=>3 [1,2,4,5,6,7,3]=>[4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4]=>[[1,4],[2,5],[3,6],[7]]=>4 [1,2,4,5,7,3,6]=>[7,4,5,1,2,3,6]=>[6,3,2,1,5,4,7]=>[[1,5,7],[2,6],[3],[4]]=>4 [1,2,4,5,7,6,3]=>[7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7]=>[[1,4,7],[2,5],[3,6]]=>5 [1,2,4,6,3,5,7]=>[6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6]=>[[1,6,7],[2],[3],[4],[5]]=>3 [1,2,4,6,3,7,5]=>[6,4,7,1,2,3,5]=>[5,3,2,1,7,4,6]=>[[1,5,7],[2,6],[3],[4]]=>4 [1,2,4,6,5,3,7]=>[6,4,5,1,2,3,7]=>[7,3,2,1,5,4,6]=>[[1,5,7],[2,6],[3],[4]]=>4 [1,2,4,6,5,7,3]=>[6,4,5,7,1,2,3]=>[3,2,1,7,5,4,6]=>[[1,4,7],[2,5],[3,6]]=>5 [1,2,4,6,7,3,5]=>[6,7,4,1,2,3,5]=>[5,3,2,1,4,7,6]=>[[1,5,6],[2,7],[3],[4]]=>5 [1,2,4,6,7,5,3]=>[6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6]=>[[1,4,6],[2,5,7],[3]]=>6 [1,2,4,7,3,5,6]=>[7,1,4,2,3,5,6]=>[6,5,3,2,4,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>4 [1,2,4,7,3,6,5]=>[4,7,6,1,2,3,5]=>[5,3,2,1,6,7,4]=>[[1,5,6],[2,7],[3],[4]]=>5 [1,2,4,7,5,3,6]=>[4,7,5,1,2,3,6]=>[6,3,2,1,5,7,4]=>[[1,5,6],[2,7],[3],[4]]=>5 [1,2,4,7,5,6,3]=>[4,7,5,6,1,2,3]=>[3,2,1,6,5,7,4]=>[[1,4,6],[2,5],[3,7]]=>6 [1,2,4,7,6,3,5]=>[7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7]=>[[1,5,6,7],[2],[3],[4]]=>6 [1,2,4,7,6,5,3]=>[7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7]=>[[1,4,6,7],[2,5],[3]]=>7 [1,2,5,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>[[1,6],[2],[3],[4],[5],[7]]=>2 [1,2,5,3,4,7,6]=>[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>[[1,5],[2,6],[3],[4],[7]]=>3 [1,2,5,3,6,4,7]=>[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>[[1,5],[2,6],[3],[4],[7]]=>3 [1,2,5,3,6,7,4]=>[1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1]=>[[1,4],[2,5],[3,6],[7]]=>4 [1,2,5,3,7,4,6]=>[5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>4 [1,2,5,3,7,6,4]=>[7,1,5,6,2,3,4]=>[4,3,2,6,5,1,7]=>[[1,4,7],[2,5],[3],[6]]=>5 [1,2,5,4,3,6,7]=>[5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5]=>[[1,6,7],[2],[3],[4],[5]]=>3 [1,2,5,4,3,7,6]=>[5,4,7,1,2,3,6]=>[6,3,2,1,7,4,5]=>[[1,5,7],[2,6],[3],[4]]=>4 [1,2,5,4,6,3,7]=>[5,4,6,1,2,3,7]=>[7,3,2,1,6,4,5]=>[[1,5,7],[2,6],[3],[4]]=>4 [1,2,5,4,6,7,3]=>[5,4,6,7,1,2,3]=>[3,2,1,7,6,4,5]=>[[1,4,7],[2,5],[3,6]]=>5 [1,2,5,4,7,3,6]=>[5,7,4,1,2,3,6]=>[6,3,2,1,4,7,5]=>[[1,5,6],[2,7],[3],[4]]=>5 [1,2,5,4,7,6,3]=>[5,7,4,6,1,2,3]=>[3,2,1,6,4,7,5]=>[[1,4,6],[2,5,7],[3]]=>6 [1,2,5,6,3,4,7]=>[5,1,6,2,3,4,7]=>[7,4,3,2,6,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>4 [1,2,5,6,3,7,4]=>[5,1,6,7,2,3,4]=>[4,3,2,7,6,1,5]=>[[1,4],[2,5],[3,7],[6]]=>5 [1,2,5,6,4,3,7]=>[5,6,4,1,2,3,7]=>[7,3,2,1,4,6,5]=>[[1,5,6],[2,7],[3],[4]]=>5 [1,2,5,6,4,7,3]=>[5,6,4,7,1,2,3]=>[3,2,1,7,4,6,5]=>[[1,4,6],[2,5],[3,7]]=>6 [1,2,5,6,7,3,4]=>[5,6,1,7,2,3,4]=>[4,3,2,7,1,6,5]=>[[1,4],[2,6],[3,7],[5]]=>6 [1,2,5,6,7,4,3]=>[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>7 [1,2,5,7,3,4,6]=>[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>[[1,5,6],[2],[3],[4],[7]]=>5 [1,2,5,7,3,6,4]=>[5,7,1,6,2,3,4]=>[4,3,2,6,1,7,5]=>[[1,4,6],[2,7],[3],[5]]=>6 [1,2,5,7,4,3,6]=>[7,5,4,1,2,3,6]=>[6,3,2,1,4,5,7]=>[[1,5,6,7],[2],[3],[4]]=>6 [1,2,5,7,4,6,3]=>[7,5,4,6,1,2,3]=>[3,2,1,6,4,5,7]=>[[1,4,6,7],[2,5],[3]]=>7 [1,2,5,7,6,3,4]=>[7,5,1,6,2,3,4]=>[4,3,2,6,1,5,7]=>[[1,4,7],[2,6],[3],[5]]=>7 [1,2,5,7,6,4,3]=>[7,5,6,4,1,2,3]=>[3,2,1,4,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>8 [1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>3 [1,2,6,3,4,7,5]=>[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>[[1,4],[2,5],[3],[6],[7]]=>4 [1,2,6,3,5,4,7]=>[6,1,5,2,3,4,7]=>[7,4,3,2,5,1,6]=>[[1,5,7],[2],[3],[4],[6]]=>4 [1,2,6,3,5,7,4]=>[6,1,5,7,2,3,4]=>[4,3,2,7,5,1,6]=>[[1,4,7],[2,5],[3],[6]]=>5 [1,2,6,3,7,4,5]=>[6,1,2,7,3,4,5]=>[5,4,3,7,2,1,6]=>[[1,4],[2,7],[3],[5],[6]]=>5 [1,2,6,3,7,5,4]=>[6,7,1,5,2,3,4]=>[4,3,2,5,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>6 [1,2,6,4,3,5,7]=>[6,1,4,2,3,5,7]=>[7,5,3,2,4,1,6]=>[[1,5,7],[2],[3],[4],[6]]=>4 [1,2,6,4,3,7,5]=>[6,1,4,7,2,3,5]=>[5,3,2,7,4,1,6]=>[[1,4,7],[2,5],[3],[6]]=>5 [1,2,6,4,5,3,7]=>[4,6,5,1,2,3,7]=>[7,3,2,1,5,6,4]=>[[1,5,6],[2,7],[3],[4]]=>5 [1,2,6,4,5,7,3]=>[4,6,5,7,1,2,3]=>[3,2,1,7,5,6,4]=>[[1,4,6],[2,5],[3,7]]=>6 [1,2,6,4,7,3,5]=>[6,7,1,4,2,3,5]=>[5,3,2,4,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>6 [1,2,6,4,7,5,3]=>[4,6,7,5,1,2,3]=>[3,2,1,5,7,6,4]=>[[1,4,5],[2,6],[3,7]]=>7 [1,2,6,5,3,4,7]=>[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>5 [1,2,6,5,3,7,4]=>[1,6,5,7,2,3,4]=>[4,3,2,7,5,6,1]=>[[1,4,6],[2,5],[3],[7]]=>6 [1,2,6,5,4,3,7]=>[6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6]=>[[1,5,6,7],[2],[3],[4]]=>6 [1,2,6,5,4,7,3]=>[6,5,4,7,1,2,3]=>[3,2,1,7,4,5,6]=>[[1,4,6,7],[2,5],[3]]=>7 [1,2,6,5,7,3,4]=>[6,5,1,7,2,3,4]=>[4,3,2,7,1,5,6]=>[[1,4,7],[2,6],[3],[5]]=>7 [1,2,6,5,7,4,3]=>[6,5,7,4,1,2,3]=>[3,2,1,4,7,5,6]=>[[1,4,5,7],[2,6],[3]]=>8 [1,2,6,7,3,4,5]=>[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>[[1,4],[2,6],[3],[5],[7]]=>6 [1,2,6,7,3,5,4]=>[1,6,7,5,2,3,4]=>[4,3,2,5,7,6,1]=>[[1,4,5],[2,6],[3],[7]]=>7 [1,2,6,7,4,3,5]=>[1,6,7,4,2,3,5]=>[5,3,2,4,7,6,1]=>[[1,4,5],[2,6],[3],[7]]=>7 [1,2,6,7,4,5,3]=>[6,4,7,5,1,2,3]=>[3,2,1,5,7,4,6]=>[[1,4,5],[2,6,7],[3]]=>8 [1,2,6,7,5,3,4]=>[6,1,7,5,2,3,4]=>[4,3,2,5,7,1,6]=>[[1,4,5],[2,7],[3],[6]]=>8 [1,2,6,7,5,4,3]=>[6,7,5,4,1,2,3]=>[3,2,1,4,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>9 [1,2,7,3,4,5,6]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>4 [1,2,7,3,4,6,5]=>[7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>5 [1,2,7,3,5,4,6]=>[7,1,2,5,3,4,6]=>[6,4,3,5,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>5 [1,2,7,3,5,6,4]=>[1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1]=>[[1,4,6],[2,5],[3],[7]]=>6 [1,2,7,3,6,4,5]=>[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>[[1,4,6],[2],[3],[5],[7]]=>6 [1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>[4,3,2,5,1,6,7]=>[[1,4,6,7],[2],[3],[5]]=>7 [1,2,7,4,3,5,6]=>[7,1,2,4,3,5,6]=>[6,5,3,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>5 [1,2,7,4,3,6,5]=>[1,7,4,6,2,3,5]=>[5,3,2,6,4,7,1]=>[[1,4,6],[2,5],[3],[7]]=>6 [1,2,7,4,5,3,6]=>[1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1]=>[[1,4,6],[2,5],[3],[7]]=>6 [1,2,7,4,5,6,3]=>[4,5,7,6,1,2,3]=>[3,2,1,6,7,5,4]=>[[1,4,5],[2,6],[3,7]]=>7 [1,2,7,4,6,3,5]=>[7,6,1,4,2,3,5]=>[5,3,2,4,1,6,7]=>[[1,4,6,7],[2],[3],[5]]=>7 [1,2,7,4,6,5,3]=>[7,4,6,5,1,2,3]=>[3,2,1,5,6,4,7]=>[[1,4,5,7],[2,6],[3]]=>8 [1,2,7,5,3,4,6]=>[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>[[1,4,6],[2],[3],[5],[7]]=>6 [1,2,7,5,3,6,4]=>[1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1]=>[[1,4,5],[2,6],[3],[7]]=>7 [1,2,7,5,4,3,6]=>[7,5,1,4,2,3,6]=>[6,3,2,4,1,5,7]=>[[1,4,6,7],[2],[3],[5]]=>7 [1,2,7,5,4,6,3]=>[5,4,7,6,1,2,3]=>[3,2,1,6,7,4,5]=>[[1,4,5],[2,6,7],[3]]=>8 [1,2,7,5,6,3,4]=>[5,1,7,6,2,3,4]=>[4,3,2,6,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>8 [1,2,7,5,6,4,3]=>[5,7,6,4,1,2,3]=>[3,2,1,4,6,7,5]=>[[1,4,5,6],[2,7],[3]]=>9 [1,2,7,6,3,4,5]=>[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>7 [1,2,7,6,3,5,4]=>[7,1,6,5,2,3,4]=>[4,3,2,5,6,1,7]=>[[1,4,5,7],[2],[3],[6]]=>8 [1,2,7,6,4,3,5]=>[7,1,6,4,2,3,5]=>[5,3,2,4,6,1,7]=>[[1,4,5,7],[2],[3],[6]]=>8 [1,2,7,6,4,5,3]=>[4,7,6,5,1,2,3]=>[3,2,1,5,6,7,4]=>[[1,4,5,6],[2,7],[3]]=>9 [1,2,7,6,5,3,4]=>[1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1]=>[[1,4,5,6],[2],[3],[7]]=>9 [1,2,7,6,5,4,3]=>[7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>10 [1,3,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3]=>[[1,7],[2],[3],[4],[5],[6]]=>1 [1,3,2,4,5,7,6]=>[3,7,1,2,4,5,6]=>[6,5,4,2,1,7,3]=>[[1,6],[2,7],[3],[4],[5]]=>2 [1,3,2,4,6,5,7]=>[3,6,1,2,4,5,7]=>[7,5,4,2,1,6,3]=>[[1,6],[2,7],[3],[4],[5]]=>2 [1,3,2,4,6,7,5]=>[3,6,7,1,2,4,5]=>[5,4,2,1,7,6,3]=>[[1,5],[2,6],[3,7],[4]]=>3 [1,3,2,4,7,5,6]=>[7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7]=>[[1,6,7],[2],[3],[4],[5]]=>3 [1,3,2,4,7,6,5]=>[7,3,6,1,2,4,5]=>[5,4,2,1,6,3,7]=>[[1,5,7],[2,6],[3],[4]]=>4 [1,3,2,5,4,6,7]=>[3,5,1,2,4,6,7]=>[7,6,4,2,1,5,3]=>[[1,6],[2,7],[3],[4],[5]]=>2 [1,3,2,5,4,7,6]=>[3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3]=>[[1,5],[2,6],[3,7],[4]]=>3 [1,3,2,5,6,4,7]=>[3,5,6,1,2,4,7]=>[7,4,2,1,6,5,3]=>[[1,5],[2,6],[3,7],[4]]=>3 [1,3,2,5,6,7,4]=>[3,5,6,7,1,2,4]=>[4,2,1,7,6,5,3]=>[[1,4],[2,5],[3,6],[7]]=>4 [1,3,2,5,7,4,6]=>[7,3,5,1,2,4,6]=>[6,4,2,1,5,3,7]=>[[1,5,7],[2,6],[3],[4]]=>4 [1,3,2,5,7,6,4]=>[7,3,5,6,1,2,4]=>[4,2,1,6,5,3,7]=>[[1,4,7],[2,5],[3,6]]=>5 [1,3,2,6,4,5,7]=>[6,3,1,2,4,5,7]=>[7,5,4,2,1,3,6]=>[[1,6,7],[2],[3],[4],[5]]=>3 [1,3,2,6,4,7,5]=>[6,3,7,1,2,4,5]=>[5,4,2,1,7,3,6]=>[[1,5,7],[2,6],[3],[4]]=>4 [1,3,2,6,5,4,7]=>[6,3,5,1,2,4,7]=>[7,4,2,1,5,3,6]=>[[1,5,7],[2,6],[3],[4]]=>4 [1,3,2,6,5,7,4]=>[6,3,5,7,1,2,4]=>[4,2,1,7,5,3,6]=>[[1,4,7],[2,5],[3,6]]=>5 [1,3,2,6,7,4,5]=>[6,7,3,1,2,4,5]=>[5,4,2,1,3,7,6]=>[[1,5,6],[2,7],[3],[4]]=>5 [1,3,2,6,7,5,4]=>[6,7,3,5,1,2,4]=>[4,2,1,5,3,7,6]=>[[1,4,6],[2,5,7],[3]]=>6 [1,3,2,7,4,5,6]=>[7,1,3,2,4,5,6]=>[6,5,4,2,3,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>4 [1,3,2,7,4,6,5]=>[3,7,6,1,2,4,5]=>[5,4,2,1,6,7,3]=>[[1,5,6],[2,7],[3],[4]]=>5 [1,3,2,7,5,4,6]=>[3,7,5,1,2,4,6]=>[6,4,2,1,5,7,3]=>[[1,5,6],[2,7],[3],[4]]=>5 [1,3,2,7,5,6,4]=>[3,7,5,6,1,2,4]=>[4,2,1,6,5,7,3]=>[[1,4,6],[2,5],[3,7]]=>6 [1,3,2,7,6,4,5]=>[7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7]=>[[1,5,6,7],[2],[3],[4]]=>6 [1,3,2,7,6,5,4]=>[7,6,3,5,1,2,4]=>[4,2,1,5,3,6,7]=>[[1,4,6,7],[2,5],[3]]=>7 [1,3,4,2,5,6,7]=>[3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3]=>[[1,6],[2,7],[3],[4],[5]]=>2 [1,3,4,2,5,7,6]=>[3,4,7,1,2,5,6]=>[6,5,2,1,7,4,3]=>[[1,5],[2,6],[3,7],[4]]=>3 [1,3,4,2,6,5,7]=>[3,4,6,1,2,5,7]=>[7,5,2,1,6,4,3]=>[[1,5],[2,6],[3,7],[4]]=>3 [1,3,4,2,6,7,5]=>[3,4,6,7,1,2,5]=>[5,2,1,7,6,4,3]=>[[1,4],[2,5],[3,6],[7]]=>4 [1,3,4,2,7,5,6]=>[7,3,4,1,2,5,6]=>[6,5,2,1,4,3,7]=>[[1,5,7],[2,6],[3],[4]]=>4 [1,3,4,2,7,6,5]=>[7,3,4,6,1,2,5]=>[5,2,1,6,4,3,7]=>[[1,4,7],[2,5],[3,6]]=>5 [1,3,4,5,2,6,7]=>[3,4,5,1,2,6,7]=>[7,6,2,1,5,4,3]=>[[1,5],[2,6],[3],[4],[7]]=>3 [1,3,4,5,2,7,6]=>[3,4,5,7,1,2,6]=>[6,2,1,7,5,4,3]=>[[1,4],[2,5],[3,6],[7]]=>4 [1,3,4,5,6,2,7]=>[3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3]=>[[1,4],[2,5],[3],[6],[7]]=>4 [1,3,4,5,6,7,2]=>[3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>5 [1,3,4,5,7,2,6]=>[7,3,4,5,1,2,6]=>[6,2,1,5,4,3,7]=>[[1,4,7],[2,5],[3],[6]]=>5 [1,3,4,5,7,6,2]=>[7,3,4,5,6,1,2]=>[2,1,6,5,4,3,7]=>[[1,3,7],[2,4],[5],[6]]=>6 [1,3,4,6,2,5,7]=>[6,3,4,1,2,5,7]=>[7,5,2,1,4,3,6]=>[[1,5,7],[2,6],[3],[4]]=>4 [1,3,4,6,2,7,5]=>[6,3,4,7,1,2,5]=>[5,2,1,7,4,3,6]=>[[1,4,7],[2,5],[3,6]]=>5 [1,3,4,6,5,2,7]=>[6,3,4,5,1,2,7]=>[7,2,1,5,4,3,6]=>[[1,4,7],[2,5],[3],[6]]=>5 [1,3,4,6,5,7,2]=>[6,3,4,5,7,1,2]=>[2,1,7,5,4,3,6]=>[[1,3,7],[2,4],[5],[6]]=>6 [1,3,4,6,7,2,5]=>[6,7,3,4,1,2,5]=>[5,2,1,4,3,7,6]=>[[1,4,6],[2,5,7],[3]]=>6 [1,3,4,6,7,5,2]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>7 [1,3,4,7,2,5,6]=>[3,7,4,1,2,5,6]=>[6,5,2,1,4,7,3]=>[[1,5,6],[2,7],[3],[4]]=>5 [1,3,4,7,2,6,5]=>[3,7,4,6,1,2,5]=>[5,2,1,6,4,7,3]=>[[1,4,6],[2,5],[3,7]]=>6 [1,3,4,7,5,2,6]=>[3,7,4,5,1,2,6]=>[6,2,1,5,4,7,3]=>[[1,4,6],[2,5],[3],[7]]=>6 [1,3,4,7,5,6,2]=>[3,7,4,5,6,1,2]=>[2,1,6,5,4,7,3]=>[[1,3,6],[2,4],[5],[7]]=>7 [1,3,4,7,6,2,5]=>[7,6,3,4,1,2,5]=>[5,2,1,4,3,6,7]=>[[1,4,6,7],[2,5],[3]]=>7 [1,3,4,7,6,5,2]=>[7,6,3,4,5,1,2]=>[2,1,5,4,3,6,7]=>[[1,3,6,7],[2,4],[5]]=>8 [1,3,5,2,4,6,7]=>[5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5]=>[[1,6,7],[2],[3],[4],[5]]=>3 [1,3,5,2,4,7,6]=>[5,3,7,1,2,4,6]=>[6,4,2,1,7,3,5]=>[[1,5,7],[2,6],[3],[4]]=>4 [1,3,5,2,6,4,7]=>[5,3,6,1,2,4,7]=>[7,4,2,1,6,3,5]=>[[1,5,7],[2,6],[3],[4]]=>4 [1,3,5,2,6,7,4]=>[5,3,6,7,1,2,4]=>[4,2,1,7,6,3,5]=>[[1,4,7],[2,5],[3,6]]=>5 [1,3,5,2,7,4,6]=>[5,7,3,1,2,4,6]=>[6,4,2,1,3,7,5]=>[[1,5,6],[2,7],[3],[4]]=>5 [1,3,5,2,7,6,4]=>[5,7,3,6,1,2,4]=>[4,2,1,6,3,7,5]=>[[1,4,6],[2,5,7],[3]]=>6 [1,3,5,4,2,6,7]=>[5,3,4,1,2,6,7]=>[7,6,2,1,4,3,5]=>[[1,5,7],[2,6],[3],[4]]=>4 [1,3,5,4,2,7,6]=>[5,3,4,7,1,2,6]=>[6,2,1,7,4,3,5]=>[[1,4,7],[2,5],[3,6]]=>5 [1,3,5,4,6,2,7]=>[5,3,4,6,1,2,7]=>[7,2,1,6,4,3,5]=>[[1,4,7],[2,5],[3],[6]]=>5 [1,3,5,4,6,7,2]=>[5,3,4,6,7,1,2]=>[2,1,7,6,4,3,5]=>[[1,3,7],[2,4],[5],[6]]=>6 [1,3,5,4,7,2,6]=>[5,7,3,4,1,2,6]=>[6,2,1,4,3,7,5]=>[[1,4,6],[2,5,7],[3]]=>6 [1,3,5,4,7,6,2]=>[5,7,3,4,6,1,2]=>[2,1,6,4,3,7,5]=>[[1,3,6],[2,4,7],[5]]=>7 [1,3,5,6,2,4,7]=>[5,6,3,1,2,4,7]=>[7,4,2,1,3,6,5]=>[[1,5,6],[2,7],[3],[4]]=>5 [1,3,5,6,2,7,4]=>[5,6,3,7,1,2,4]=>[4,2,1,7,3,6,5]=>[[1,4,6],[2,5],[3,7]]=>6 [1,3,5,6,4,2,7]=>[5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5]=>[[1,4,6],[2,5,7],[3]]=>6 [1,3,5,6,4,7,2]=>[5,6,3,4,7,1,2]=>[2,1,7,4,3,6,5]=>[[1,3,6],[2,4,7],[5]]=>7 [1,3,5,6,7,2,4]=>[5,6,7,3,1,2,4]=>[4,2,1,3,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>7 [1,3,5,6,7,4,2]=>[5,6,7,3,4,1,2]=>[2,1,4,3,7,6,5]=>[[1,3,5],[2,4,6],[7]]=>8 [1,3,5,7,2,4,6]=>[7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7]=>[[1,5,6,7],[2],[3],[4]]=>6 [1,3,5,7,2,6,4]=>[7,5,3,6,1,2,4]=>[4,2,1,6,3,5,7]=>[[1,4,6,7],[2,5],[3]]=>7 [1,3,5,7,4,2,6]=>[7,5,3,4,1,2,6]=>[6,2,1,4,3,5,7]=>[[1,4,6,7],[2,5],[3]]=>7 [1,3,5,7,4,6,2]=>[7,5,3,4,6,1,2]=>[2,1,6,4,3,5,7]=>[[1,3,6,7],[2,4],[5]]=>8 [1,3,5,7,6,2,4]=>[7,5,6,3,1,2,4]=>[4,2,1,3,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>8 [1,3,5,7,6,4,2]=>[7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7]=>[[1,3,5,7],[2,4,6]]=>9 [1,3,6,2,4,5,7]=>[6,1,3,2,4,5,7]=>[7,5,4,2,3,1,6]=>[[1,5,7],[2],[3],[4],[6]]=>4 [1,3,6,2,4,7,5]=>[6,1,3,7,2,4,5]=>[5,4,2,7,3,1,6]=>[[1,4,7],[2,5],[3],[6]]=>5 [1,3,6,2,5,4,7]=>[3,6,5,1,2,4,7]=>[7,4,2,1,5,6,3]=>[[1,5,6],[2,7],[3],[4]]=>5 [1,3,6,2,5,7,4]=>[3,6,5,7,1,2,4]=>[4,2,1,7,5,6,3]=>[[1,4,6],[2,5],[3,7]]=>6 [1,3,6,2,7,4,5]=>[6,7,1,3,2,4,5]=>[5,4,2,3,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>6 [1,3,6,2,7,5,4]=>[3,6,7,5,1,2,4]=>[4,2,1,5,7,6,3]=>[[1,4,5],[2,6],[3,7]]=>7 [1,3,6,4,2,5,7]=>[3,6,4,1,2,5,7]=>[7,5,2,1,4,6,3]=>[[1,5,6],[2,7],[3],[4]]=>5 [1,3,6,4,2,7,5]=>[3,6,4,7,1,2,5]=>[5,2,1,7,4,6,3]=>[[1,4,6],[2,5],[3,7]]=>6 [1,3,6,4,5,2,7]=>[3,6,4,5,1,2,7]=>[7,2,1,5,4,6,3]=>[[1,4,6],[2,5],[3],[7]]=>6 [1,3,6,4,5,7,2]=>[3,6,4,5,7,1,2]=>[2,1,7,5,4,6,3]=>[[1,3,6],[2,4],[5],[7]]=>7 [1,3,6,4,7,2,5]=>[3,6,7,4,1,2,5]=>[5,2,1,4,7,6,3]=>[[1,4,5],[2,6],[3,7]]=>7 [1,3,6,4,7,5,2]=>[3,6,7,4,5,1,2]=>[2,1,5,4,7,6,3]=>[[1,3,5],[2,4,6],[7]]=>8 [1,3,6,5,2,4,7]=>[6,5,3,1,2,4,7]=>[7,4,2,1,3,5,6]=>[[1,5,6,7],[2],[3],[4]]=>6 [1,3,6,5,2,7,4]=>[6,5,3,7,1,2,4]=>[4,2,1,7,3,5,6]=>[[1,4,6,7],[2,5],[3]]=>7 [1,3,6,5,4,2,7]=>[6,5,3,4,1,2,7]=>[7,2,1,4,3,5,6]=>[[1,4,6,7],[2,5],[3]]=>7 [1,3,6,5,4,7,2]=>[6,5,3,4,7,1,2]=>[2,1,7,4,3,5,6]=>[[1,3,6,7],[2,4],[5]]=>8 [1,3,6,5,7,2,4]=>[6,5,7,3,1,2,4]=>[4,2,1,3,7,5,6]=>[[1,4,5,7],[2,6],[3]]=>8 [1,3,6,5,7,4,2]=>[6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6]=>[[1,3,5,7],[2,4,6]]=>9 [1,3,6,7,2,4,5]=>[1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1]=>[[1,4,5],[2,6],[3],[7]]=>7 [1,3,6,7,2,5,4]=>[6,3,7,5,1,2,4]=>[4,2,1,5,7,3,6]=>[[1,4,5],[2,6,7],[3]]=>8 [1,3,6,7,4,2,5]=>[6,3,7,4,1,2,5]=>[5,2,1,4,7,3,6]=>[[1,4,5],[2,6,7],[3]]=>8 [1,3,6,7,4,5,2]=>[6,3,7,4,5,1,2]=>[2,1,5,4,7,3,6]=>[[1,3,5],[2,4,7],[6]]=>9 [1,3,6,7,5,2,4]=>[6,7,5,3,1,2,4]=>[4,2,1,3,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>9 [1,3,6,7,5,4,2]=>[6,7,5,3,4,1,2]=>[2,1,4,3,5,7,6]=>[[1,3,5,6],[2,4,7]]=>10 [1,3,7,2,4,5,6]=>[3,1,2,7,4,5,6]=>[6,5,4,7,2,1,3]=>[[1,4],[2,7],[3],[5],[6]]=>5 [1,3,7,2,4,6,5]=>[1,7,3,6,2,4,5]=>[5,4,2,6,3,7,1]=>[[1,4,6],[2,5],[3],[7]]=>6 [1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[6,4,2,5,3,7,1]=>[[1,4,6],[2,5],[3],[7]]=>6 [1,3,7,2,5,6,4]=>[3,5,7,6,1,2,4]=>[4,2,1,6,7,5,3]=>[[1,4,5],[2,6],[3,7]]=>7 [1,3,7,2,6,4,5]=>[7,6,1,3,2,4,5]=>[5,4,2,3,1,6,7]=>[[1,4,6,7],[2],[3],[5]]=>7 [1,3,7,2,6,5,4]=>[7,3,6,5,1,2,4]=>[4,2,1,5,6,3,7]=>[[1,4,5,7],[2,6],[3]]=>8 [1,3,7,4,2,5,6]=>[1,7,3,4,2,5,6]=>[6,5,2,4,3,7,1]=>[[1,4,6],[2],[3],[5],[7]]=>6 [1,3,7,4,2,6,5]=>[3,4,7,6,1,2,5]=>[5,2,1,6,7,4,3]=>[[1,4,5],[2,6],[3,7]]=>7 [1,3,7,4,5,2,6]=>[3,4,7,5,1,2,6]=>[6,2,1,5,7,4,3]=>[[1,4,5],[2,6],[3],[7]]=>7 [1,3,7,4,5,6,2]=>[3,4,7,5,6,1,2]=>[2,1,6,5,7,4,3]=>[[1,3,5],[2,4],[6],[7]]=>8 [1,3,7,4,6,2,5]=>[7,3,6,4,1,2,5]=>[5,2,1,4,6,3,7]=>[[1,4,5,7],[2,6],[3]]=>8 [1,3,7,4,6,5,2]=>[7,3,6,4,5,1,2]=>[2,1,5,4,6,3,7]=>[[1,3,5,7],[2,4],[6]]=>9 [1,3,7,5,2,4,6]=>[7,5,1,3,2,4,6]=>[6,4,2,3,1,5,7]=>[[1,4,6,7],[2],[3],[5]]=>7 [1,3,7,5,2,6,4]=>[5,3,7,6,1,2,4]=>[4,2,1,6,7,3,5]=>[[1,4,5],[2,6,7],[3]]=>8 [1,3,7,5,4,2,6]=>[7,3,5,4,1,2,6]=>[6,2,1,4,5,3,7]=>[[1,4,5,7],[2,6],[3]]=>8 [1,3,7,5,4,6,2]=>[7,3,5,4,6,1,2]=>[2,1,6,4,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>9 [1,3,7,5,6,2,4]=>[5,7,6,3,1,2,4]=>[4,2,1,3,6,7,5]=>[[1,4,5,6],[2,7],[3]]=>9 [1,3,7,5,6,4,2]=>[5,7,6,3,4,1,2]=>[2,1,4,3,6,7,5]=>[[1,3,5,6],[2,4,7]]=>10 [1,3,7,6,2,4,5]=>[7,1,6,3,2,4,5]=>[5,4,2,3,6,1,7]=>[[1,4,5,7],[2],[3],[6]]=>8 [1,3,7,6,2,5,4]=>[3,7,6,5,1,2,4]=>[4,2,1,5,6,7,3]=>[[1,4,5,6],[2,7],[3]]=>9 [1,3,7,6,4,2,5]=>[3,7,6,4,1,2,5]=>[5,2,1,4,6,7,3]=>[[1,4,5,6],[2,7],[3]]=>9 [1,3,7,6,4,5,2]=>[3,7,6,4,5,1,2]=>[2,1,5,4,6,7,3]=>[[1,3,5,6],[2,4],[7]]=>10 [1,3,7,6,5,2,4]=>[7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>10 [1,3,7,6,5,4,2]=>[7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7]=>[[1,3,5,6,7],[2,4]]=>11 [1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[[1,6],[2],[3],[4],[5],[7]]=>2 [1,4,2,3,5,7,6]=>[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>[[1,5],[2,6],[3],[4],[7]]=>3 [1,4,2,3,6,5,7]=>[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>[[1,5],[2,6],[3],[4],[7]]=>3 [1,4,2,3,6,7,5]=>[1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1]=>[[1,4],[2,5],[3,6],[7]]=>4 [1,4,2,3,7,5,6]=>[4,1,7,2,3,5,6]=>[6,5,3,2,7,1,4]=>[[1,5],[2,7],[3],[4],[6]]=>4 [1,4,2,3,7,6,5]=>[7,1,4,6,2,3,5]=>[5,3,2,6,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>5 [1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>[[1,5],[2,6],[3],[4],[7]]=>3 [1,4,2,5,3,7,6]=>[1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1]=>[[1,4],[2,5],[3,6],[7]]=>4 [1,4,2,5,6,3,7]=>[1,4,5,6,2,3,7]=>[7,3,2,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>4 [1,4,2,5,6,7,3]=>[1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]=>[[1,3],[2,4],[5],[6],[7]]=>5 [1,4,2,5,7,3,6]=>[7,1,4,5,2,3,6]=>[6,3,2,5,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>5 [1,4,2,5,7,6,3]=>[7,1,4,5,6,2,3]=>[3,2,6,5,4,1,7]=>[[1,3,7],[2,4],[5],[6]]=>6 [1,4,2,6,3,5,7]=>[4,1,6,2,3,5,7]=>[7,5,3,2,6,1,4]=>[[1,5],[2,7],[3],[4],[6]]=>4 [1,4,2,6,3,7,5]=>[4,1,6,7,2,3,5]=>[5,3,2,7,6,1,4]=>[[1,4],[2,5],[3,7],[6]]=>5 [1,4,2,6,5,3,7]=>[6,1,4,5,2,3,7]=>[7,3,2,5,4,1,6]=>[[1,4,7],[2,5],[3],[6]]=>5 [1,4,2,6,5,7,3]=>[6,1,4,5,7,2,3]=>[3,2,7,5,4,1,6]=>[[1,3,7],[2,4],[5],[6]]=>6 [1,4,2,6,7,3,5]=>[4,6,1,7,2,3,5]=>[5,3,2,7,1,6,4]=>[[1,4],[2,6],[3,7],[5]]=>6 [1,4,2,6,7,5,3]=>[6,7,1,4,5,2,3]=>[3,2,5,4,1,7,6]=>[[1,3,6],[2,4,7],[5]]=>7 [1,4,2,7,3,5,6]=>[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>[[1,5,6],[2],[3],[4],[7]]=>5 [1,4,2,7,3,6,5]=>[4,7,1,6,2,3,5]=>[5,3,2,6,1,7,4]=>[[1,4,6],[2,7],[3],[5]]=>6 [1,4,2,7,5,3,6]=>[4,7,1,5,2,3,6]=>[6,3,2,5,1,7,4]=>[[1,4,6],[2,7],[3],[5]]=>6 [1,4,2,7,5,6,3]=>[1,7,4,5,6,2,3]=>[3,2,6,5,4,7,1]=>[[1,3,6],[2,4],[5],[7]]=>7 [1,4,2,7,6,3,5]=>[7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>7 [1,4,2,7,6,5,3]=>[7,6,1,4,5,2,3]=>[3,2,5,4,1,6,7]=>[[1,3,6,7],[2,4],[5]]=>8 [1,4,3,2,5,6,7]=>[4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4]=>[[1,6,7],[2],[3],[4],[5]]=>3 [1,4,3,2,5,7,6]=>[4,3,7,1,2,5,6]=>[6,5,2,1,7,3,4]=>[[1,5,7],[2,6],[3],[4]]=>4 [1,4,3,2,6,5,7]=>[4,3,6,1,2,5,7]=>[7,5,2,1,6,3,4]=>[[1,5,7],[2,6],[3],[4]]=>4 [1,4,3,2,6,7,5]=>[4,3,6,7,1,2,5]=>[5,2,1,7,6,3,4]=>[[1,4,7],[2,5],[3,6]]=>5 [1,4,3,2,7,5,6]=>[4,7,3,1,2,5,6]=>[6,5,2,1,3,7,4]=>[[1,5,6],[2,7],[3],[4]]=>5 [1,4,3,2,7,6,5]=>[4,7,3,6,1,2,5]=>[5,2,1,6,3,7,4]=>[[1,4,6],[2,5,7],[3]]=>6 [1,4,3,5,2,6,7]=>[4,3,5,1,2,6,7]=>[7,6,2,1,5,3,4]=>[[1,5,7],[2,6],[3],[4]]=>4 [1,4,3,5,2,7,6]=>[4,3,5,7,1,2,6]=>[6,2,1,7,5,3,4]=>[[1,4,7],[2,5],[3,6]]=>5 [1,4,3,5,6,2,7]=>[4,3,5,6,1,2,7]=>[7,2,1,6,5,3,4]=>[[1,4,7],[2,5],[3],[6]]=>5 [1,4,3,5,6,7,2]=>[4,3,5,6,7,1,2]=>[2,1,7,6,5,3,4]=>[[1,3,7],[2,4],[5],[6]]=>6 [1,4,3,5,7,2,6]=>[4,7,3,5,1,2,6]=>[6,2,1,5,3,7,4]=>[[1,4,6],[2,5,7],[3]]=>6 [1,4,3,5,7,6,2]=>[4,7,3,5,6,1,2]=>[2,1,6,5,3,7,4]=>[[1,3,6],[2,4,7],[5]]=>7 [1,4,3,6,2,5,7]=>[4,6,3,1,2,5,7]=>[7,5,2,1,3,6,4]=>[[1,5,6],[2,7],[3],[4]]=>5 [1,4,3,6,2,7,5]=>[4,6,3,7,1,2,5]=>[5,2,1,7,3,6,4]=>[[1,4,6],[2,5],[3,7]]=>6 [1,4,3,6,5,2,7]=>[4,6,3,5,1,2,7]=>[7,2,1,5,3,6,4]=>[[1,4,6],[2,5,7],[3]]=>6 [1,4,3,6,5,7,2]=>[4,6,3,5,7,1,2]=>[2,1,7,5,3,6,4]=>[[1,3,6],[2,4,7],[5]]=>7 [1,4,3,6,7,2,5]=>[4,6,7,3,1,2,5]=>[5,2,1,3,7,6,4]=>[[1,4,5],[2,6],[3,7]]=>7 [1,4,3,6,7,5,2]=>[4,6,7,3,5,1,2]=>[2,1,5,3,7,6,4]=>[[1,3,5],[2,4,6],[7]]=>8 [1,4,3,7,2,5,6]=>[7,4,3,1,2,5,6]=>[6,5,2,1,3,4,7]=>[[1,5,6,7],[2],[3],[4]]=>6 [1,4,3,7,2,6,5]=>[7,4,3,6,1,2,5]=>[5,2,1,6,3,4,7]=>[[1,4,6,7],[2,5],[3]]=>7 [1,4,3,7,5,2,6]=>[7,4,3,5,1,2,6]=>[6,2,1,5,3,4,7]=>[[1,4,6,7],[2,5],[3]]=>7 [1,4,3,7,5,6,2]=>[7,4,3,5,6,1,2]=>[2,1,6,5,3,4,7]=>[[1,3,6,7],[2,4],[5]]=>8 [1,4,3,7,6,2,5]=>[7,4,6,3,1,2,5]=>[5,2,1,3,6,4,7]=>[[1,4,5,7],[2,6],[3]]=>8 [1,4,3,7,6,5,2]=>[7,4,6,3,5,1,2]=>[2,1,5,3,6,4,7]=>[[1,3,5,7],[2,4,6]]=>9 [1,4,5,2,3,6,7]=>[4,1,5,2,3,6,7]=>[7,6,3,2,5,1,4]=>[[1,5],[2,7],[3],[4],[6]]=>4 [1,4,5,2,3,7,6]=>[4,1,5,7,2,3,6]=>[6,3,2,7,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>5 [1,4,5,2,6,3,7]=>[4,1,5,6,2,3,7]=>[7,3,2,6,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>5 [1,4,5,2,6,7,3]=>[4,1,5,6,7,2,3]=>[3,2,7,6,5,1,4]=>[[1,3],[2,4],[5,7],[6]]=>6 [1,4,5,2,7,3,6]=>[4,5,1,7,2,3,6]=>[6,3,2,7,1,5,4]=>[[1,4],[2,6],[3,7],[5]]=>6 [1,4,5,2,7,6,3]=>[4,7,1,5,6,2,3]=>[3,2,6,5,1,7,4]=>[[1,3,6],[2,4],[5,7]]=>7 [1,4,5,3,2,6,7]=>[4,5,3,1,2,6,7]=>[7,6,2,1,3,5,4]=>[[1,5,6],[2,7],[3],[4]]=>5 [1,4,5,3,2,7,6]=>[4,5,3,7,1,2,6]=>[6,2,1,7,3,5,4]=>[[1,4,6],[2,5],[3,7]]=>6 [1,4,5,3,6,2,7]=>[4,5,3,6,1,2,7]=>[7,2,1,6,3,5,4]=>[[1,4,6],[2,5],[3],[7]]=>6 [1,4,5,3,6,7,2]=>[4,5,3,6,7,1,2]=>[2,1,7,6,3,5,4]=>[[1,3,6],[2,4],[5],[7]]=>7 [1,4,5,3,7,2,6]=>[4,5,7,3,1,2,6]=>[6,2,1,3,7,5,4]=>[[1,4,5],[2,6],[3,7]]=>7 [1,4,5,3,7,6,2]=>[4,5,7,3,6,1,2]=>[2,1,6,3,7,5,4]=>[[1,3,5],[2,4,6],[7]]=>8 [1,4,5,6,2,3,7]=>[4,5,1,6,2,3,7]=>[7,3,2,6,1,5,4]=>[[1,4],[2,6],[3,7],[5]]=>6 [1,4,5,6,2,7,3]=>[4,5,1,6,7,2,3]=>[3,2,7,6,1,5,4]=>[[1,3],[2,4],[5,6],[7]]=>7 [1,4,5,6,3,2,7]=>[4,5,6,3,1,2,7]=>[7,2,1,3,6,5,4]=>[[1,4,5],[2,6],[3],[7]]=>7 [1,4,5,6,3,7,2]=>[4,5,6,3,7,1,2]=>[2,1,7,3,6,5,4]=>[[1,3,5],[2,4],[6],[7]]=>8 [1,4,5,6,7,2,3]=>[4,5,6,1,7,2,3]=>[3,2,7,1,6,5,4]=>[[1,3],[2,5],[4,6],[7]]=>8 [1,4,5,6,7,3,2]=>[4,5,6,7,3,1,2]=>[2,1,3,7,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>9 [1,4,5,7,2,3,6]=>[7,4,1,5,2,3,6]=>[6,3,2,5,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>7 [1,4,5,7,2,6,3]=>[4,5,7,1,6,2,3]=>[3,2,6,1,7,5,4]=>[[1,3,5],[2,6],[4,7]]=>8 [1,4,5,7,3,2,6]=>[7,4,5,3,1,2,6]=>[6,2,1,3,5,4,7]=>[[1,4,5,7],[2,6],[3]]=>8 [1,4,5,7,3,6,2]=>[7,4,5,3,6,1,2]=>[2,1,6,3,5,4,7]=>[[1,3,5,7],[2,4],[6]]=>9 [1,4,5,7,6,2,3]=>[7,4,5,1,6,2,3]=>[3,2,6,1,5,4,7]=>[[1,3,7],[2,5],[4,6]]=>9 [1,4,5,7,6,3,2]=>[7,4,5,6,3,1,2]=>[2,1,3,6,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>10 [1,4,6,2,3,5,7]=>[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>5 [1,4,6,2,3,7,5]=>[1,6,4,7,2,3,5]=>[5,3,2,7,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>6 [1,4,6,2,5,3,7]=>[4,6,1,5,2,3,7]=>[7,3,2,5,1,6,4]=>[[1,4,6],[2,7],[3],[5]]=>6 [1,4,6,2,5,7,3]=>[4,6,1,5,7,2,3]=>[3,2,7,5,1,6,4]=>[[1,3,6],[2,4],[5,7]]=>7 [1,4,6,2,7,3,5]=>[6,4,1,7,2,3,5]=>[5,3,2,7,1,4,6]=>[[1,4,7],[2,6],[3],[5]]=>7 [1,4,6,2,7,5,3]=>[4,6,7,1,5,2,3]=>[3,2,5,1,7,6,4]=>[[1,3,5],[2,6],[4,7]]=>8 [1,4,6,3,2,5,7]=>[6,4,3,1,2,5,7]=>[7,5,2,1,3,4,6]=>[[1,5,6,7],[2],[3],[4]]=>6 [1,4,6,3,2,7,5]=>[6,4,3,7,1,2,5]=>[5,2,1,7,3,4,6]=>[[1,4,6,7],[2,5],[3]]=>7 [1,4,6,3,5,2,7]=>[6,4,3,5,1,2,7]=>[7,2,1,5,3,4,6]=>[[1,4,6,7],[2,5],[3]]=>7 [1,4,6,3,5,7,2]=>[6,4,3,5,7,1,2]=>[2,1,7,5,3,4,6]=>[[1,3,6,7],[2,4],[5]]=>8 [1,4,6,3,7,2,5]=>[6,4,7,3,1,2,5]=>[5,2,1,3,7,4,6]=>[[1,4,5,7],[2,6],[3]]=>8 [1,4,6,3,7,5,2]=>[6,4,7,3,5,1,2]=>[2,1,5,3,7,4,6]=>[[1,3,5,7],[2,4,6]]=>9 [1,4,6,5,2,3,7]=>[6,4,1,5,2,3,7]=>[7,3,2,5,1,4,6]=>[[1,4,7],[2,6],[3],[5]]=>7 [1,4,6,5,2,7,3]=>[6,4,1,5,7,2,3]=>[3,2,7,5,1,4,6]=>[[1,3,7],[2,4],[5,6]]=>8 [1,4,6,5,3,2,7]=>[6,4,5,3,1,2,7]=>[7,2,1,3,5,4,6]=>[[1,4,5,7],[2,6],[3]]=>8 [1,4,6,5,3,7,2]=>[6,4,5,3,7,1,2]=>[2,1,7,3,5,4,6]=>[[1,3,5,7],[2,4],[6]]=>9 [1,4,6,5,7,2,3]=>[6,4,5,1,7,2,3]=>[3,2,7,1,5,4,6]=>[[1,3,7],[2,5],[4,6]]=>9 [1,4,6,5,7,3,2]=>[6,4,5,7,3,1,2]=>[2,1,3,7,5,4,6]=>[[1,3,4,7],[2,5],[6]]=>10 [1,4,6,7,2,3,5]=>[6,1,7,4,2,3,5]=>[5,3,2,4,7,1,6]=>[[1,4,5],[2,7],[3],[6]]=>8 [1,4,6,7,2,5,3]=>[6,4,7,1,5,2,3]=>[3,2,5,1,7,4,6]=>[[1,3,5],[2,6,7],[4]]=>9 [1,4,6,7,3,2,5]=>[6,7,4,3,1,2,5]=>[5,2,1,3,4,7,6]=>[[1,4,5,6],[2,7],[3]]=>9 [1,4,6,7,3,5,2]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[1,3,5,6],[2,4,7]]=>10 [1,4,6,7,5,2,3]=>[6,7,4,1,5,2,3]=>[3,2,5,1,4,7,6]=>[[1,3,6],[2,5,7],[4]]=>10 [1,4,6,7,5,3,2]=>[6,7,4,5,3,1,2]=>[2,1,3,5,4,7,6]=>[[1,3,4,6],[2,5,7]]=>11 [1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>[[1,4,6],[2],[3],[5],[7]]=>6 [1,4,7,2,3,6,5]=>[1,4,7,6,2,3,5]=>[5,3,2,6,7,4,1]=>[[1,4,5],[2,6],[3],[7]]=>7 [1,4,7,2,5,3,6]=>[1,4,7,5,2,3,6]=>[6,3,2,5,7,4,1]=>[[1,4,5],[2,6],[3],[7]]=>7 [1,4,7,2,5,6,3]=>[7,4,1,5,6,2,3]=>[3,2,6,5,1,4,7]=>[[1,3,7],[2,4],[5,6]]=>8 [1,4,7,2,6,3,5]=>[4,1,7,6,2,3,5]=>[5,3,2,6,7,1,4]=>[[1,4,5],[2,7],[3],[6]]=>8 [1,4,7,2,6,5,3]=>[7,4,6,1,5,2,3]=>[3,2,5,1,6,4,7]=>[[1,3,5,7],[2,6],[4]]=>9 [1,4,7,3,2,5,6]=>[7,4,1,3,2,5,6]=>[6,5,2,3,1,4,7]=>[[1,4,6,7],[2],[3],[5]]=>7 [1,4,7,3,2,6,5]=>[4,3,7,6,1,2,5]=>[5,2,1,6,7,3,4]=>[[1,4,5],[2,6,7],[3]]=>8 [1,4,7,3,5,2,6]=>[4,3,7,5,1,2,6]=>[6,2,1,5,7,3,4]=>[[1,4,5],[2,6,7],[3]]=>8 [1,4,7,3,5,6,2]=>[4,3,7,5,6,1,2]=>[2,1,6,5,7,3,4]=>[[1,3,5],[2,4,7],[6]]=>9 [1,4,7,3,6,2,5]=>[4,7,6,3,1,2,5]=>[5,2,1,3,6,7,4]=>[[1,4,5,6],[2,7],[3]]=>9 [1,4,7,3,6,5,2]=>[4,7,6,3,5,1,2]=>[2,1,5,3,6,7,4]=>[[1,3,5,6],[2,4,7]]=>10 [1,4,7,5,2,3,6]=>[4,1,7,5,2,3,6]=>[6,3,2,5,7,1,4]=>[[1,4,5],[2,7],[3],[6]]=>8 [1,4,7,5,2,6,3]=>[4,1,7,5,6,2,3]=>[3,2,6,5,7,1,4]=>[[1,3,5],[2,4],[6,7]]=>9 [1,4,7,5,3,2,6]=>[4,7,5,3,1,2,6]=>[6,2,1,3,5,7,4]=>[[1,4,5,6],[2,7],[3]]=>9 [1,4,7,5,3,6,2]=>[4,7,5,3,6,1,2]=>[2,1,6,3,5,7,4]=>[[1,3,5,6],[2,4],[7]]=>10 [1,4,7,5,6,2,3]=>[4,7,5,1,6,2,3]=>[3,2,6,1,5,7,4]=>[[1,3,6],[2,5],[4,7]]=>10 [1,4,7,5,6,3,2]=>[4,7,5,6,3,1,2]=>[2,1,3,6,5,7,4]=>[[1,3,4,6],[2,5],[7]]=>11 [1,4,7,6,2,3,5]=>[1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1]=>[[1,4,5,6],[2],[3],[7]]=>9 [1,4,7,6,2,5,3]=>[4,7,6,1,5,2,3]=>[3,2,5,1,6,7,4]=>[[1,3,5,6],[2,7],[4]]=>10 [1,4,7,6,3,2,5]=>[7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7]=>[[1,4,5,6,7],[2],[3]]=>10 [1,4,7,6,3,5,2]=>[7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7]=>[[1,3,5,6,7],[2,4]]=>11 [1,4,7,6,5,2,3]=>[7,6,4,1,5,2,3]=>[3,2,5,1,4,6,7]=>[[1,3,6,7],[2,5],[4]]=>11 [1,4,7,6,5,3,2]=>[7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7]=>[[1,3,4,6,7],[2,5]]=>12 [1,5,2,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>3 [1,5,2,3,4,7,6]=>[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>[[1,4],[2,5],[3],[6],[7]]=>4 [1,5,2,3,6,4,7]=>[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>[[1,4],[2,5],[3],[6],[7]]=>4 [1,5,2,3,6,7,4]=>[1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1]=>[[1,3],[2,4],[5],[6],[7]]=>5 [1,5,2,3,7,4,6]=>[5,1,2,7,3,4,6]=>[6,4,3,7,2,1,5]=>[[1,4],[2,7],[3],[5],[6]]=>5 [1,5,2,3,7,6,4]=>[7,1,2,5,6,3,4]=>[4,3,6,5,2,1,7]=>[[1,3,7],[2,4],[5],[6]]=>6 [1,5,2,4,3,6,7]=>[5,1,4,2,3,6,7]=>[7,6,3,2,4,1,5]=>[[1,5,7],[2],[3],[4],[6]]=>4 [1,5,2,4,3,7,6]=>[5,1,4,7,2,3,6]=>[6,3,2,7,4,1,5]=>[[1,4,7],[2,5],[3],[6]]=>5 [1,5,2,4,6,3,7]=>[5,1,4,6,2,3,7]=>[7,3,2,6,4,1,5]=>[[1,4,7],[2,5],[3],[6]]=>5 [1,5,2,4,6,7,3]=>[5,1,4,6,7,2,3]=>[3,2,7,6,4,1,5]=>[[1,3,7],[2,4],[5],[6]]=>6 [1,5,2,4,7,3,6]=>[5,7,1,4,2,3,6]=>[6,3,2,4,1,7,5]=>[[1,4,6],[2,7],[3],[5]]=>6 [1,5,2,4,7,6,3]=>[5,7,1,4,6,2,3]=>[3,2,6,4,1,7,5]=>[[1,3,6],[2,4,7],[5]]=>7 [1,5,2,6,3,4,7]=>[5,1,2,6,3,4,7]=>[7,4,3,6,2,1,5]=>[[1,4],[2,7],[3],[5],[6]]=>5 [1,5,2,6,3,7,4]=>[5,1,2,6,7,3,4]=>[4,3,7,6,2,1,5]=>[[1,3],[2,4],[5,7],[6]]=>6 [1,5,2,6,4,3,7]=>[5,6,1,4,2,3,7]=>[7,3,2,4,1,6,5]=>[[1,4,6],[2,7],[3],[5]]=>6 [1,5,2,6,4,7,3]=>[5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5]=>[[1,3,6],[2,4],[5,7]]=>7 [1,5,2,6,7,3,4]=>[5,6,1,2,7,3,4]=>[4,3,7,2,1,6,5]=>[[1,3],[2,6],[4,7],[5]]=>7 [1,5,2,6,7,4,3]=>[5,6,7,1,4,2,3]=>[3,2,4,1,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>8 [1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>[[1,4],[2,6],[3],[5],[7]]=>6 [1,5,2,7,3,6,4]=>[5,7,1,2,6,3,4]=>[4,3,6,2,1,7,5]=>[[1,3,6],[2,7],[4],[5]]=>7 [1,5,2,7,4,3,6]=>[1,5,7,4,2,3,6]=>[6,3,2,4,7,5,1]=>[[1,4,5],[2,6],[3],[7]]=>7 [1,5,2,7,4,6,3]=>[7,5,1,4,6,2,3]=>[3,2,6,4,1,5,7]=>[[1,3,6,7],[2,4],[5]]=>8 [1,5,2,7,6,3,4]=>[7,5,1,2,6,3,4]=>[4,3,6,2,1,5,7]=>[[1,3,7],[2,6],[4],[5]]=>8 [1,5,2,7,6,4,3]=>[7,5,6,1,4,2,3]=>[3,2,4,1,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>9 [1,5,3,2,4,6,7]=>[5,1,3,2,4,6,7]=>[7,6,4,2,3,1,5]=>[[1,5,7],[2],[3],[4],[6]]=>4 [1,5,3,2,4,7,6]=>[5,1,3,7,2,4,6]=>[6,4,2,7,3,1,5]=>[[1,4,7],[2,5],[3],[6]]=>5 [1,5,3,2,6,4,7]=>[5,1,3,6,2,4,7]=>[7,4,2,6,3,1,5]=>[[1,4,7],[2,5],[3],[6]]=>5 [1,5,3,2,6,7,4]=>[5,1,3,6,7,2,4]=>[4,2,7,6,3,1,5]=>[[1,3,7],[2,4],[5],[6]]=>6 [1,5,3,2,7,4,6]=>[5,7,1,3,2,4,6]=>[6,4,2,3,1,7,5]=>[[1,4,6],[2,7],[3],[5]]=>6 [1,5,3,2,7,6,4]=>[5,7,1,3,6,2,4]=>[4,2,6,3,1,7,5]=>[[1,3,6],[2,4,7],[5]]=>7 [1,5,3,4,2,6,7]=>[3,5,4,1,2,6,7]=>[7,6,2,1,4,5,3]=>[[1,5,6],[2,7],[3],[4]]=>5 [1,5,3,4,2,7,6]=>[3,5,4,7,1,2,6]=>[6,2,1,7,4,5,3]=>[[1,4,6],[2,5],[3,7]]=>6 [1,5,3,4,6,2,7]=>[3,5,4,6,1,2,7]=>[7,2,1,6,4,5,3]=>[[1,4,6],[2,5],[3],[7]]=>6 [1,5,3,4,6,7,2]=>[3,5,4,6,7,1,2]=>[2,1,7,6,4,5,3]=>[[1,3,6],[2,4],[5],[7]]=>7 [1,5,3,4,7,2,6]=>[3,5,7,4,1,2,6]=>[6,2,1,4,7,5,3]=>[[1,4,5],[2,6],[3,7]]=>7 [1,5,3,4,7,6,2]=>[3,5,7,4,6,1,2]=>[2,1,6,4,7,5,3]=>[[1,3,5],[2,4,6],[7]]=>8 [1,5,3,6,2,4,7]=>[5,6,1,3,2,4,7]=>[7,4,2,3,1,6,5]=>[[1,4,6],[2,7],[3],[5]]=>6 [1,5,3,6,2,7,4]=>[5,6,1,3,7,2,4]=>[4,2,7,3,1,6,5]=>[[1,3,6],[2,4],[5,7]]=>7 [1,5,3,6,4,2,7]=>[3,5,6,4,1,2,7]=>[7,2,1,4,6,5,3]=>[[1,4,5],[2,6],[3],[7]]=>7 [1,5,3,6,4,7,2]=>[3,5,6,4,7,1,2]=>[2,1,7,4,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>8 [1,5,3,6,7,2,4]=>[5,6,7,1,3,2,4]=>[4,2,3,1,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>8 [1,5,3,6,7,4,2]=>[3,5,6,7,4,1,2]=>[2,1,4,7,6,5,3]=>[[1,3,4],[2,5],[6],[7]]=>9 [1,5,3,7,2,4,6]=>[1,5,7,3,2,4,6]=>[6,4,2,3,7,5,1]=>[[1,4,5],[2,6],[3],[7]]=>7 [1,5,3,7,2,6,4]=>[7,5,1,3,6,2,4]=>[4,2,6,3,1,5,7]=>[[1,3,6,7],[2,4],[5]]=>8 [1,5,3,7,4,2,6]=>[5,3,7,4,1,2,6]=>[6,2,1,4,7,3,5]=>[[1,4,5],[2,6,7],[3]]=>8 [1,5,3,7,4,6,2]=>[5,3,7,4,6,1,2]=>[2,1,6,4,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>9 [1,5,3,7,6,2,4]=>[7,5,6,1,3,2,4]=>[4,2,3,1,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>9 [1,5,3,7,6,4,2]=>[7,3,5,6,4,1,2]=>[2,1,4,6,5,3,7]=>[[1,3,4,7],[2,5],[6]]=>10 [1,5,4,2,3,6,7]=>[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>[[1,5,6],[2],[3],[4],[7]]=>5 [1,5,4,2,3,7,6]=>[1,5,4,7,2,3,6]=>[6,3,2,7,4,5,1]=>[[1,4,6],[2,5],[3],[7]]=>6 [1,5,4,2,6,3,7]=>[1,5,4,6,2,3,7]=>[7,3,2,6,4,5,1]=>[[1,4,6],[2,5],[3],[7]]=>6 [1,5,4,2,6,7,3]=>[1,5,4,6,7,2,3]=>[3,2,7,6,4,5,1]=>[[1,3,6],[2,4],[5],[7]]=>7 [1,5,4,2,7,3,6]=>[5,4,1,7,2,3,6]=>[6,3,2,7,1,4,5]=>[[1,4,7],[2,6],[3],[5]]=>7 [1,5,4,2,7,6,3]=>[1,5,7,4,6,2,3]=>[3,2,6,4,7,5,1]=>[[1,3,5],[2,4,6],[7]]=>8 [1,5,4,3,2,6,7]=>[5,4,3,1,2,6,7]=>[7,6,2,1,3,4,5]=>[[1,5,6,7],[2],[3],[4]]=>6 [1,5,4,3,2,7,6]=>[5,4,3,7,1,2,6]=>[6,2,1,7,3,4,5]=>[[1,4,6,7],[2,5],[3]]=>7 [1,5,4,3,6,2,7]=>[5,4,3,6,1,2,7]=>[7,2,1,6,3,4,5]=>[[1,4,6,7],[2,5],[3]]=>7 [1,5,4,3,6,7,2]=>[5,4,3,6,7,1,2]=>[2,1,7,6,3,4,5]=>[[1,3,6,7],[2,4],[5]]=>8 [1,5,4,3,7,2,6]=>[5,4,7,3,1,2,6]=>[6,2,1,3,7,4,5]=>[[1,4,5,7],[2,6],[3]]=>8 [1,5,4,3,7,6,2]=>[5,4,7,3,6,1,2]=>[2,1,6,3,7,4,5]=>[[1,3,5,7],[2,4,6]]=>9 [1,5,4,6,2,3,7]=>[5,4,1,6,2,3,7]=>[7,3,2,6,1,4,5]=>[[1,4,7],[2,6],[3],[5]]=>7 [1,5,4,6,2,7,3]=>[5,4,1,6,7,2,3]=>[3,2,7,6,1,4,5]=>[[1,3,7],[2,4],[5,6]]=>8 [1,5,4,6,3,2,7]=>[5,4,6,3,1,2,7]=>[7,2,1,3,6,4,5]=>[[1,4,5,7],[2,6],[3]]=>8 [1,5,4,6,3,7,2]=>[5,4,6,3,7,1,2]=>[2,1,7,3,6,4,5]=>[[1,3,5,7],[2,4],[6]]=>9 [1,5,4,6,7,2,3]=>[5,4,6,1,7,2,3]=>[3,2,7,1,6,4,5]=>[[1,3,7],[2,5],[4,6]]=>9 [1,5,4,6,7,3,2]=>[5,4,6,7,3,1,2]=>[2,1,3,7,6,4,5]=>[[1,3,4,7],[2,5],[6]]=>10 [1,5,4,7,2,3,6]=>[5,1,7,4,2,3,6]=>[6,3,2,4,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>8 [1,5,4,7,2,6,3]=>[5,4,7,1,6,2,3]=>[3,2,6,1,7,4,5]=>[[1,3,5],[2,6,7],[4]]=>9 [1,5,4,7,3,2,6]=>[5,7,4,3,1,2,6]=>[6,2,1,3,4,7,5]=>[[1,4,5,6],[2,7],[3]]=>9 [1,5,4,7,3,6,2]=>[5,7,4,3,6,1,2]=>[2,1,6,3,4,7,5]=>[[1,3,5,6],[2,4,7]]=>10 [1,5,4,7,6,2,3]=>[5,7,4,1,6,2,3]=>[3,2,6,1,4,7,5]=>[[1,3,6],[2,5,7],[4]]=>10 [1,5,4,7,6,3,2]=>[5,7,4,6,3,1,2]=>[2,1,3,6,4,7,5]=>[[1,3,4,6],[2,5,7]]=>11 [1,5,6,2,3,4,7]=>[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>[[1,4],[2,6],[3],[5],[7]]=>6 [1,5,6,2,3,7,4]=>[1,5,2,6,7,3,4]=>[4,3,7,6,2,5,1]=>[[1,3],[2,4],[5,6],[7]]=>7 [1,5,6,2,4,3,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>7 [1,5,6,2,4,7,3]=>[1,5,6,4,7,2,3]=>[3,2,7,4,6,5,1]=>[[1,3,5],[2,4],[6],[7]]=>8 [1,5,6,2,7,3,4]=>[1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1]=>[[1,3],[2,5],[4,6],[7]]=>8 [1,5,6,2,7,4,3]=>[1,5,6,7,4,2,3]=>[3,2,4,7,6,5,1]=>[[1,3,4],[2,5],[6],[7]]=>9 [1,5,6,3,2,4,7]=>[1,5,6,3,2,4,7]=>[7,4,2,3,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>7 [1,5,6,3,2,7,4]=>[1,5,6,3,7,2,4]=>[4,2,7,3,6,5,1]=>[[1,3,5],[2,4],[6],[7]]=>8 [1,5,6,3,4,2,7]=>[5,3,6,4,1,2,7]=>[7,2,1,4,6,3,5]=>[[1,4,5],[2,6,7],[3]]=>8 [1,5,6,3,4,7,2]=>[5,3,6,4,7,1,2]=>[2,1,7,4,6,3,5]=>[[1,3,5],[2,4,7],[6]]=>9 [1,5,6,3,7,2,4]=>[1,5,6,7,3,2,4]=>[4,2,3,7,6,5,1]=>[[1,3,4],[2,5],[6],[7]]=>9 [1,5,6,3,7,4,2]=>[5,3,6,7,4,1,2]=>[2,1,4,7,6,3,5]=>[[1,3,4],[2,5,7],[6]]=>10 [1,5,6,4,2,3,7]=>[5,1,6,4,2,3,7]=>[7,3,2,4,6,1,5]=>[[1,4,5],[2,7],[3],[6]]=>8 [1,5,6,4,2,7,3]=>[5,1,6,4,7,2,3]=>[3,2,7,4,6,1,5]=>[[1,3,5],[2,4],[6,7]]=>9 [1,5,6,4,3,2,7]=>[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[[1,4,5,6],[2,7],[3]]=>9 [1,5,6,4,3,7,2]=>[5,6,4,3,7,1,2]=>[2,1,7,3,4,6,5]=>[[1,3,5,6],[2,4],[7]]=>10 [1,5,6,4,7,2,3]=>[5,6,4,1,7,2,3]=>[3,2,7,1,4,6,5]=>[[1,3,6],[2,5],[4,7]]=>10 [1,5,6,4,7,3,2]=>[5,6,4,7,3,1,2]=>[2,1,3,7,4,6,5]=>[[1,3,4,6],[2,5],[7]]=>11 [1,5,6,7,2,3,4]=>[5,1,6,2,7,3,4]=>[4,3,7,2,6,1,5]=>[[1,3],[2,5],[4,7],[6]]=>9 [1,5,6,7,2,4,3]=>[5,1,6,7,4,2,3]=>[3,2,4,7,6,1,5]=>[[1,3,4],[2,5],[6,7]]=>10 [1,5,6,7,3,2,4]=>[5,1,6,7,3,2,4]=>[4,2,3,7,6,1,5]=>[[1,3,4],[2,5],[6,7]]=>10 [1,5,6,7,3,4,2]=>[5,6,3,7,4,1,2]=>[2,1,4,7,3,6,5]=>[[1,3,4],[2,5,6],[7]]=>11 [1,5,6,7,4,2,3]=>[5,6,1,7,4,2,3]=>[3,2,4,7,1,6,5]=>[[1,3,4],[2,6],[5,7]]=>11 [1,5,6,7,4,3,2]=>[5,6,7,4,3,1,2]=>[2,1,3,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>12 [1,5,7,2,3,4,6]=>[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>7 [1,5,7,2,3,6,4]=>[1,5,7,2,6,3,4]=>[4,3,6,2,7,5,1]=>[[1,3,5],[2,6],[4],[7]]=>8 [1,5,7,2,4,3,6]=>[7,1,5,4,2,3,6]=>[6,3,2,4,5,1,7]=>[[1,4,5,7],[2],[3],[6]]=>8 [1,5,7,2,4,6,3]=>[5,1,7,4,6,2,3]=>[3,2,6,4,7,1,5]=>[[1,3,5],[2,4,7],[6]]=>9 [1,5,7,2,6,3,4]=>[5,1,7,2,6,3,4]=>[4,3,6,2,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>9 [1,5,7,2,6,4,3]=>[7,1,5,6,4,2,3]=>[3,2,4,6,5,1,7]=>[[1,3,4,7],[2,5],[6]]=>10 [1,5,7,3,2,4,6]=>[7,1,5,3,2,4,6]=>[6,4,2,3,5,1,7]=>[[1,4,5,7],[2],[3],[6]]=>8 [1,5,7,3,2,6,4]=>[5,1,7,3,6,2,4]=>[4,2,6,3,7,1,5]=>[[1,3,5],[2,4,7],[6]]=>9 [1,5,7,3,4,2,6]=>[3,7,5,4,1,2,6]=>[6,2,1,4,5,7,3]=>[[1,4,5,6],[2,7],[3]]=>9 [1,5,7,3,4,6,2]=>[3,7,5,4,6,1,2]=>[2,1,6,4,5,7,3]=>[[1,3,5,6],[2,4],[7]]=>10 [1,5,7,3,6,2,4]=>[7,1,5,6,3,2,4]=>[4,2,3,6,5,1,7]=>[[1,3,4,7],[2,5],[6]]=>10 [1,5,7,3,6,4,2]=>[5,7,3,6,4,1,2]=>[2,1,4,6,3,7,5]=>[[1,3,4,6],[2,5,7]]=>11 [1,5,7,4,2,3,6]=>[1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1]=>[[1,4,5,6],[2],[3],[7]]=>9 [1,5,7,4,2,6,3]=>[1,7,5,4,6,2,3]=>[3,2,6,4,5,7,1]=>[[1,3,5,6],[2,4],[7]]=>10 [1,5,7,4,3,2,6]=>[7,5,4,3,1,2,6]=>[6,2,1,3,4,5,7]=>[[1,4,5,6,7],[2],[3]]=>10 [1,5,7,4,3,6,2]=>[7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7]=>[[1,3,5,6,7],[2,4]]=>11 [1,5,7,4,6,2,3]=>[7,5,4,1,6,2,3]=>[3,2,6,1,4,5,7]=>[[1,3,6,7],[2,5],[4]]=>11 [1,5,7,4,6,3,2]=>[7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7]=>[[1,3,4,6,7],[2,5]]=>12 [1,5,7,6,2,3,4]=>[1,7,5,2,6,3,4]=>[4,3,6,2,5,7,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [1,5,7,6,2,4,3]=>[5,7,1,6,4,2,3]=>[3,2,4,6,1,7,5]=>[[1,3,4,6],[2,7],[5]]=>11 [1,5,7,6,3,2,4]=>[5,7,1,6,3,2,4]=>[4,2,3,6,1,7,5]=>[[1,3,4,6],[2,7],[5]]=>11 [1,5,7,6,3,4,2]=>[7,5,3,6,4,1,2]=>[2,1,4,6,3,5,7]=>[[1,3,4,7],[2,5,6]]=>12 [1,5,7,6,4,2,3]=>[7,5,1,6,4,2,3]=>[3,2,4,6,1,5,7]=>[[1,3,4,7],[2,6],[5]]=>12 [1,5,7,6,4,3,2]=>[7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7]=>[[1,3,4,5,7],[2,6]]=>13 [1,6,2,3,4,5,7]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>4 [1,6,2,3,4,7,5]=>[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>[[1,3],[2,4],[5],[6],[7]]=>5 [1,6,2,3,5,4,7]=>[6,1,2,5,3,4,7]=>[7,4,3,5,2,1,6]=>[[1,4,7],[2],[3],[5],[6]]=>5 [1,6,2,3,5,7,4]=>[6,1,2,5,7,3,4]=>[4,3,7,5,2,1,6]=>[[1,3,7],[2,4],[5],[6]]=>6 [1,6,2,3,7,4,5]=>[6,1,2,3,7,4,5]=>[5,4,7,3,2,1,6]=>[[1,3],[2,7],[4],[5],[6]]=>6 [1,6,2,3,7,5,4]=>[6,7,1,2,5,3,4]=>[4,3,5,2,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>7 [1,6,2,4,3,5,7]=>[6,1,2,4,3,5,7]=>[7,5,3,4,2,1,6]=>[[1,4,7],[2],[3],[5],[6]]=>5 [1,6,2,4,3,7,5]=>[6,1,2,4,7,3,5]=>[5,3,7,4,2,1,6]=>[[1,3,7],[2,4],[5],[6]]=>6 [1,6,2,4,5,3,7]=>[1,6,4,5,2,3,7]=>[7,3,2,5,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>6 [1,6,2,4,5,7,3]=>[1,6,4,5,7,2,3]=>[3,2,7,5,4,6,1]=>[[1,3,6],[2,4],[5],[7]]=>7 [1,6,2,4,7,3,5]=>[6,7,1,2,4,3,5]=>[5,3,4,2,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>7 [1,6,2,4,7,5,3]=>[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>[[1,3,5],[2,4,6],[7]]=>8 [1,6,2,5,3,4,7]=>[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>[[1,4,6],[2],[3],[5],[7]]=>6 [1,6,2,5,3,7,4]=>[1,6,2,5,7,3,4]=>[4,3,7,5,2,6,1]=>[[1,3,6],[2,4],[5],[7]]=>7 [1,6,2,5,4,3,7]=>[6,5,1,4,2,3,7]=>[7,3,2,4,1,5,6]=>[[1,4,6,7],[2],[3],[5]]=>7 [1,6,2,5,4,7,3]=>[6,5,1,4,7,2,3]=>[3,2,7,4,1,5,6]=>[[1,3,6,7],[2,4],[5]]=>8 [1,6,2,5,7,3,4]=>[6,5,1,2,7,3,4]=>[4,3,7,2,1,5,6]=>[[1,3,7],[2,6],[4],[5]]=>8 [1,6,2,5,7,4,3]=>[6,5,7,1,4,2,3]=>[3,2,4,1,7,5,6]=>[[1,3,5,7],[2,6],[4]]=>9 [1,6,2,7,3,4,5]=>[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>[[1,3],[2,6],[4],[5],[7]]=>7 [1,6,2,7,3,5,4]=>[1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1]=>[[1,3,5],[2,6],[4],[7]]=>8 [1,6,2,7,4,3,5]=>[1,6,7,2,4,3,5]=>[5,3,4,2,7,6,1]=>[[1,3,5],[2,6],[4],[7]]=>8 [1,6,2,7,4,5,3]=>[6,1,7,4,5,2,3]=>[3,2,5,4,7,1,6]=>[[1,3,5],[2,4,7],[6]]=>9 [1,6,2,7,5,3,4]=>[6,1,7,2,5,3,4]=>[4,3,5,2,7,1,6]=>[[1,3,5],[2,7],[4],[6]]=>9 [1,6,2,7,5,4,3]=>[6,7,5,1,4,2,3]=>[3,2,4,1,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>10 [1,6,3,2,4,5,7]=>[3,1,2,6,4,5,7]=>[7,5,4,6,2,1,3]=>[[1,4],[2,7],[3],[5],[6]]=>5 [1,6,3,2,4,7,5]=>[3,1,2,6,7,4,5]=>[5,4,7,6,2,1,3]=>[[1,3],[2,4],[5,7],[6]]=>6 [1,6,3,2,5,4,7]=>[1,6,3,5,2,4,7]=>[7,4,2,5,3,6,1]=>[[1,4,6],[2,5],[3],[7]]=>6 [1,6,3,2,5,7,4]=>[1,6,3,5,7,2,4]=>[4,2,7,5,3,6,1]=>[[1,3,6],[2,4],[5],[7]]=>7 [1,6,3,2,7,4,5]=>[3,6,1,2,7,4,5]=>[5,4,7,2,1,6,3]=>[[1,3],[2,6],[4,7],[5]]=>7 [1,6,3,2,7,5,4]=>[1,6,7,3,5,2,4]=>[4,2,5,3,7,6,1]=>[[1,3,5],[2,4,6],[7]]=>8 [1,6,3,4,2,5,7]=>[1,6,3,4,2,5,7]=>[7,5,2,4,3,6,1]=>[[1,4,6],[2],[3],[5],[7]]=>6 [1,6,3,4,2,7,5]=>[1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1]=>[[1,3,6],[2,4],[5],[7]]=>7 [1,6,3,4,5,2,7]=>[3,4,6,5,1,2,7]=>[7,2,1,5,6,4,3]=>[[1,4,5],[2,6],[3],[7]]=>7 [1,6,3,4,5,7,2]=>[3,4,6,5,7,1,2]=>[2,1,7,5,6,4,3]=>[[1,3,5],[2,4],[6],[7]]=>8 [1,6,3,4,7,2,5]=>[1,6,7,3,4,2,5]=>[5,2,4,3,7,6,1]=>[[1,3,5],[2,6],[4],[7]]=>8 [1,6,3,4,7,5,2]=>[3,4,6,7,5,1,2]=>[2,1,5,7,6,4,3]=>[[1,3,4],[2,5],[6],[7]]=>9 [1,6,3,5,2,4,7]=>[6,5,1,3,2,4,7]=>[7,4,2,3,1,5,6]=>[[1,4,6,7],[2],[3],[5]]=>7 [1,6,3,5,2,7,4]=>[6,5,1,3,7,2,4]=>[4,2,7,3,1,5,6]=>[[1,3,6,7],[2,4],[5]]=>8 [1,6,3,5,4,2,7]=>[6,3,5,4,1,2,7]=>[7,2,1,4,5,3,6]=>[[1,4,5,7],[2,6],[3]]=>8 [1,6,3,5,4,7,2]=>[6,3,5,4,7,1,2]=>[2,1,7,4,5,3,6]=>[[1,3,5,7],[2,4],[6]]=>9 [1,6,3,5,7,2,4]=>[6,5,7,1,3,2,4]=>[4,2,3,1,7,5,6]=>[[1,3,5,7],[2,6],[4]]=>9 [1,6,3,5,7,4,2]=>[6,3,5,7,4,1,2]=>[2,1,4,7,5,3,6]=>[[1,3,4,7],[2,5],[6]]=>10 [1,6,3,7,2,4,5]=>[6,3,1,2,7,4,5]=>[5,4,7,2,1,3,6]=>[[1,3,7],[2,6],[4],[5]]=>8 [1,6,3,7,2,5,4]=>[6,1,7,3,5,2,4]=>[4,2,5,3,7,1,6]=>[[1,3,5],[2,4,7],[6]]=>9 [1,6,3,7,4,2,5]=>[6,1,7,3,4,2,5]=>[5,2,4,3,7,1,6]=>[[1,3,5],[2,7],[4],[6]]=>9 [1,6,3,7,4,5,2]=>[6,3,4,7,5,1,2]=>[2,1,5,7,4,3,6]=>[[1,3,4],[2,5,7],[6]]=>10 [1,6,3,7,5,2,4]=>[6,7,5,1,3,2,4]=>[4,2,3,1,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>10 [1,6,3,7,5,4,2]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[1,3,4,6],[2,5,7]]=>11 [1,6,4,2,3,5,7]=>[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>[[1,4,6],[2],[3],[5],[7]]=>6 [1,6,4,2,3,7,5]=>[1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1]=>[[1,3,6],[2,4],[5],[7]]=>7 [1,6,4,2,5,3,7]=>[1,4,6,5,2,3,7]=>[7,3,2,5,6,4,1]=>[[1,4,5],[2,6],[3],[7]]=>7 [1,6,4,2,5,7,3]=>[1,4,6,5,7,2,3]=>[3,2,7,5,6,4,1]=>[[1,3,5],[2,4],[6],[7]]=>8 [1,6,4,2,7,3,5]=>[6,4,1,2,7,3,5]=>[5,3,7,2,1,4,6]=>[[1,3,7],[2,6],[4],[5]]=>8 [1,6,4,2,7,5,3]=>[1,4,6,7,5,2,3]=>[3,2,5,7,6,4,1]=>[[1,3,4],[2,5],[6],[7]]=>9 [1,6,4,3,2,5,7]=>[6,4,1,3,2,5,7]=>[7,5,2,3,1,4,6]=>[[1,4,6,7],[2],[3],[5]]=>7 [1,6,4,3,2,7,5]=>[6,4,1,3,7,2,5]=>[5,2,7,3,1,4,6]=>[[1,3,6,7],[2,4],[5]]=>8 [1,6,4,3,5,2,7]=>[4,3,6,5,1,2,7]=>[7,2,1,5,6,3,4]=>[[1,4,5],[2,6,7],[3]]=>8 [1,6,4,3,5,7,2]=>[4,3,6,5,7,1,2]=>[2,1,7,5,6,3,4]=>[[1,3,5],[2,4,7],[6]]=>9 [1,6,4,3,7,2,5]=>[6,4,7,1,3,2,5]=>[5,2,3,1,7,4,6]=>[[1,3,5,7],[2,6],[4]]=>9 [1,6,4,3,7,5,2]=>[4,3,6,7,5,1,2]=>[2,1,5,7,6,3,4]=>[[1,3,4],[2,5,7],[6]]=>10 [1,6,4,5,2,3,7]=>[4,1,6,5,2,3,7]=>[7,3,2,5,6,1,4]=>[[1,4,5],[2,7],[3],[6]]=>8 [1,6,4,5,2,7,3]=>[4,1,6,5,7,2,3]=>[3,2,7,5,6,1,4]=>[[1,3,5],[2,4],[6,7]]=>9 [1,6,4,5,3,2,7]=>[4,6,5,3,1,2,7]=>[7,2,1,3,5,6,4]=>[[1,4,5,6],[2,7],[3]]=>9 [1,6,4,5,3,7,2]=>[4,6,5,3,7,1,2]=>[2,1,7,3,5,6,4]=>[[1,3,5,6],[2,4],[7]]=>10 [1,6,4,5,7,2,3]=>[4,6,5,1,7,2,3]=>[3,2,7,1,5,6,4]=>[[1,3,6],[2,5],[4,7]]=>10 [1,6,4,5,7,3,2]=>[4,6,5,7,3,1,2]=>[2,1,3,7,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>11 [1,6,4,7,2,3,5]=>[6,1,7,2,4,3,5]=>[5,3,4,2,7,1,6]=>[[1,3,5],[2,7],[4],[6]]=>9 [1,6,4,7,2,5,3]=>[4,1,6,7,5,2,3]=>[3,2,5,7,6,1,4]=>[[1,3,4],[2,5],[6,7]]=>10 [1,6,4,7,3,2,5]=>[6,7,4,1,3,2,5]=>[5,2,3,1,4,7,6]=>[[1,3,5,6],[2,7],[4]]=>10 [1,6,4,7,3,5,2]=>[4,6,3,7,5,1,2]=>[2,1,5,7,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>11 [1,6,4,7,5,2,3]=>[4,6,1,7,5,2,3]=>[3,2,5,7,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>11 [1,6,4,7,5,3,2]=>[4,6,7,5,3,1,2]=>[2,1,3,5,7,6,4]=>[[1,3,4,5],[2,6],[7]]=>12 [1,6,5,2,3,4,7]=>[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>7 [1,6,5,2,3,7,4]=>[1,2,6,5,7,3,4]=>[4,3,7,5,6,2,1]=>[[1,3,5],[2,4],[6],[7]]=>8 [1,6,5,2,4,3,7]=>[6,1,5,4,2,3,7]=>[7,3,2,4,5,1,6]=>[[1,4,5,7],[2],[3],[6]]=>8 [1,6,5,2,4,7,3]=>[6,1,5,4,7,2,3]=>[3,2,7,4,5,1,6]=>[[1,3,5,7],[2,4],[6]]=>9 [1,6,5,2,7,3,4]=>[6,1,5,2,7,3,4]=>[4,3,7,2,5,1,6]=>[[1,3,7],[2,5],[4],[6]]=>9 [1,6,5,2,7,4,3]=>[6,1,5,7,4,2,3]=>[3,2,4,7,5,1,6]=>[[1,3,4,7],[2,5],[6]]=>10 [1,6,5,3,2,4,7]=>[6,1,5,3,2,4,7]=>[7,4,2,3,5,1,6]=>[[1,4,5,7],[2],[3],[6]]=>8 [1,6,5,3,2,7,4]=>[6,1,5,3,7,2,4]=>[4,2,7,3,5,1,6]=>[[1,3,5,7],[2,4],[6]]=>9 [1,6,5,3,4,2,7]=>[3,6,5,4,1,2,7]=>[7,2,1,4,5,6,3]=>[[1,4,5,6],[2,7],[3]]=>9 [1,6,5,3,4,7,2]=>[3,6,5,4,7,1,2]=>[2,1,7,4,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>10 [1,6,5,3,7,2,4]=>[6,1,5,7,3,2,4]=>[4,2,3,7,5,1,6]=>[[1,3,4,7],[2,5],[6]]=>10 [1,6,5,3,7,4,2]=>[3,6,5,7,4,1,2]=>[2,1,4,7,5,6,3]=>[[1,3,4,6],[2,5],[7]]=>11 [1,6,5,4,2,3,7]=>[1,6,5,4,2,3,7]=>[7,3,2,4,5,6,1]=>[[1,4,5,6],[2],[3],[7]]=>9 [1,6,5,4,2,7,3]=>[1,6,5,4,7,2,3]=>[3,2,7,4,5,6,1]=>[[1,3,5,6],[2,4],[7]]=>10 [1,6,5,4,3,2,7]=>[6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6]=>[[1,4,5,6,7],[2],[3]]=>10 [1,6,5,4,3,7,2]=>[6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6]=>[[1,3,5,6,7],[2,4]]=>11 [1,6,5,4,7,2,3]=>[6,5,4,1,7,2,3]=>[3,2,7,1,4,5,6]=>[[1,3,6,7],[2,5],[4]]=>11 [1,6,5,4,7,3,2]=>[6,5,4,7,3,1,2]=>[2,1,3,7,4,5,6]=>[[1,3,4,6,7],[2,5]]=>12 [1,6,5,7,2,3,4]=>[1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [1,6,5,7,2,4,3]=>[1,6,5,7,4,2,3]=>[3,2,4,7,5,6,1]=>[[1,3,4,6],[2,5],[7]]=>11 [1,6,5,7,3,2,4]=>[1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1]=>[[1,3,4,6],[2,5],[7]]=>11 [1,6,5,7,3,4,2]=>[6,5,3,7,4,1,2]=>[2,1,4,7,3,5,6]=>[[1,3,4,7],[2,5,6]]=>12 [1,6,5,7,4,2,3]=>[6,5,1,7,4,2,3]=>[3,2,4,7,1,5,6]=>[[1,3,4,7],[2,6],[5]]=>12 [1,6,5,7,4,3,2]=>[6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6]=>[[1,3,4,5,7],[2,6]]=>13 [1,6,7,2,3,4,5]=>[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>8 [1,6,7,2,3,5,4]=>[1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]=>[[1,3,4],[2,5],[6],[7]]=>9 [1,6,7,2,4,3,5]=>[1,2,6,7,4,3,5]=>[5,3,4,7,6,2,1]=>[[1,3,4],[2,5],[6],[7]]=>9 [1,6,7,2,4,5,3]=>[6,1,4,7,5,2,3]=>[3,2,5,7,4,1,6]=>[[1,3,4],[2,5,7],[6]]=>10 [1,6,7,2,5,3,4]=>[6,1,2,7,5,3,4]=>[4,3,5,7,2,1,6]=>[[1,3,4],[2,7],[5],[6]]=>10 [1,6,7,2,5,4,3]=>[6,7,1,5,4,2,3]=>[3,2,4,5,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>11 [1,6,7,3,2,4,5]=>[6,1,3,2,7,4,5]=>[5,4,7,2,3,1,6]=>[[1,3,7],[2,5],[4],[6]]=>9 [1,6,7,3,2,5,4]=>[6,1,3,7,5,2,4]=>[4,2,5,7,3,1,6]=>[[1,3,4],[2,5,7],[6]]=>10 [1,6,7,3,4,2,5]=>[6,1,3,7,4,2,5]=>[5,2,4,7,3,1,6]=>[[1,3,4],[2,7],[5],[6]]=>10 [1,6,7,3,4,5,2]=>[3,6,4,7,5,1,2]=>[2,1,5,7,4,6,3]=>[[1,3,4],[2,5,6],[7]]=>11 [1,6,7,3,5,2,4]=>[6,7,1,5,3,2,4]=>[4,2,3,5,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>11 [1,6,7,3,5,4,2]=>[3,6,7,5,4,1,2]=>[2,1,4,5,7,6,3]=>[[1,3,4,5],[2,6],[7]]=>12 [1,6,7,4,2,3,5]=>[6,1,2,7,4,3,5]=>[5,3,4,7,2,1,6]=>[[1,3,4],[2,7],[5],[6]]=>10 [1,6,7,4,2,5,3]=>[1,6,4,7,5,2,3]=>[3,2,5,7,4,6,1]=>[[1,3,4],[2,5,6],[7]]=>11 [1,6,7,4,3,2,5]=>[6,7,1,4,3,2,5]=>[5,2,3,4,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>11 [1,6,7,4,3,5,2]=>[6,4,3,7,5,1,2]=>[2,1,5,7,3,4,6]=>[[1,3,4,7],[2,5,6]]=>12 [1,6,7,4,5,2,3]=>[6,4,1,7,5,2,3]=>[3,2,5,7,1,4,6]=>[[1,3,4],[2,6,7],[5]]=>12 [1,6,7,4,5,3,2]=>[6,4,7,5,3,1,2]=>[2,1,3,5,7,4,6]=>[[1,3,4,5],[2,6,7]]=>13 [1,6,7,5,2,3,4]=>[1,6,2,7,5,3,4]=>[4,3,5,7,2,6,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [1,6,7,5,2,4,3]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[[1,3,4,5],[2,6],[7]]=>12 [1,6,7,5,3,2,4]=>[1,6,7,5,3,2,4]=>[4,2,3,5,7,6,1]=>[[1,3,4,5],[2,6],[7]]=>12 [1,6,7,5,3,4,2]=>[6,3,7,5,4,1,2]=>[2,1,4,5,7,3,6]=>[[1,3,4,5],[2,6,7]]=>13 [1,6,7,5,4,2,3]=>[6,1,7,5,4,2,3]=>[3,2,4,5,7,1,6]=>[[1,3,4,5],[2,7],[6]]=>13 [1,6,7,5,4,3,2]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[1,3,4,5,6],[2,7]]=>14 [1,7,2,3,4,5,6]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7]]=>5 [1,7,2,3,4,6,5]=>[7,1,2,3,6,4,5]=>[5,4,6,3,2,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>6 [1,7,2,3,5,4,6]=>[7,1,2,3,5,4,6]=>[6,4,5,3,2,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>6 [1,7,2,3,5,6,4]=>[1,7,2,5,6,3,4]=>[4,3,6,5,2,7,1]=>[[1,3,6],[2,4],[5],[7]]=>7 [1,7,2,3,6,4,5]=>[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>[[1,3,6],[2],[4],[5],[7]]=>7 [1,7,2,3,6,5,4]=>[7,6,1,2,5,3,4]=>[4,3,5,2,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>8 [1,7,2,4,3,5,6]=>[4,1,2,3,7,5,6]=>[6,5,7,3,2,1,4]=>[[1,3],[2,7],[4],[5],[6]]=>6 [1,7,2,4,3,6,5]=>[1,7,2,4,6,3,5]=>[5,3,6,4,2,7,1]=>[[1,3,6],[2,4],[5],[7]]=>7 [1,7,2,4,5,3,6]=>[1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1]=>[[1,3,6],[2],[4],[5],[7]]=>7 [1,7,2,4,5,6,3]=>[1,4,7,5,6,2,3]=>[3,2,6,5,7,4,1]=>[[1,3,5],[2,4],[6],[7]]=>8 [1,7,2,4,6,3,5]=>[7,6,1,2,4,3,5]=>[5,3,4,2,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>8 [1,7,2,4,6,5,3]=>[7,1,6,4,5,2,3]=>[3,2,5,4,6,1,7]=>[[1,3,5,7],[2,4],[6]]=>9 [1,7,2,5,3,4,6]=>[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>[[1,3,6],[2],[4],[5],[7]]=>7 [1,7,2,5,3,6,4]=>[1,2,7,5,6,3,4]=>[4,3,6,5,7,2,1]=>[[1,3,5],[2,4],[6],[7]]=>8 [1,7,2,5,4,3,6]=>[7,5,1,2,4,3,6]=>[6,3,4,2,1,5,7]=>[[1,3,6,7],[2],[4],[5]]=>8 [1,7,2,5,4,6,3]=>[7,1,5,4,6,2,3]=>[3,2,6,4,5,1,7]=>[[1,3,5,7],[2,4],[6]]=>9 [1,7,2,5,6,3,4]=>[7,1,5,2,6,3,4]=>[4,3,6,2,5,1,7]=>[[1,3,7],[2,5],[4],[6]]=>9 [1,7,2,5,6,4,3]=>[5,7,6,1,4,2,3]=>[3,2,4,1,6,7,5]=>[[1,3,5,6],[2,7],[4]]=>10 [1,7,2,6,3,4,5]=>[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>8 [1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>[4,3,5,2,6,1,7]=>[[1,3,5,7],[2],[4],[6]]=>9 [1,7,2,6,4,3,5]=>[7,1,6,2,4,3,5]=>[5,3,4,2,6,1,7]=>[[1,3,5,7],[2],[4],[6]]=>9 [1,7,2,6,4,5,3]=>[1,7,6,4,5,2,3]=>[3,2,5,4,6,7,1]=>[[1,3,5,6],[2,4],[7]]=>10 [1,7,2,6,5,3,4]=>[1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1]=>[[1,3,5,6],[2],[4],[7]]=>10 [1,7,2,6,5,4,3]=>[7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>11 [1,7,3,2,4,5,6]=>[3,1,2,4,7,5,6]=>[6,5,7,4,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>6 [1,7,3,2,4,6,5]=>[3,7,1,2,6,4,5]=>[5,4,6,2,1,7,3]=>[[1,3,6],[2,7],[4],[5]]=>7 [1,7,3,2,5,4,6]=>[3,7,1,2,5,4,6]=>[6,4,5,2,1,7,3]=>[[1,3,6],[2,7],[4],[5]]=>7 [1,7,3,2,5,6,4]=>[1,3,7,5,6,2,4]=>[4,2,6,5,7,3,1]=>[[1,3,5],[2,4],[6],[7]]=>8 [1,7,3,2,6,4,5]=>[7,3,1,2,6,4,5]=>[5,4,6,2,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>8 [1,7,3,2,6,5,4]=>[7,1,6,3,5,2,4]=>[4,2,5,3,6,1,7]=>[[1,3,5,7],[2,4],[6]]=>9 [1,7,3,4,2,5,6]=>[3,4,1,2,7,5,6]=>[6,5,7,2,1,4,3]=>[[1,3],[2,6],[4,7],[5]]=>7 [1,7,3,4,2,6,5]=>[1,3,7,4,6,2,5]=>[5,2,6,4,7,3,1]=>[[1,3,5],[2,4],[6],[7]]=>8 [1,7,3,4,5,2,6]=>[1,3,7,4,5,2,6]=>[6,2,5,4,7,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>8 [1,7,3,4,5,6,2]=>[3,4,5,7,6,1,2]=>[2,1,6,7,5,4,3]=>[[1,3,4],[2,5],[6],[7]]=>9 [1,7,3,4,6,2,5]=>[7,1,6,3,4,2,5]=>[5,2,4,3,6,1,7]=>[[1,3,5,7],[2],[4],[6]]=>9 [1,7,3,4,6,5,2]=>[7,3,4,6,5,1,2]=>[2,1,5,6,4,3,7]=>[[1,3,4,7],[2,5],[6]]=>10 [1,7,3,5,2,4,6]=>[7,3,1,2,5,4,6]=>[6,4,5,2,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>8 [1,7,3,5,2,6,4]=>[7,1,5,3,6,2,4]=>[4,2,6,3,5,1,7]=>[[1,3,5,7],[2,4],[6]]=>9 [1,7,3,5,4,2,6]=>[7,1,5,3,4,2,6]=>[6,2,4,3,5,1,7]=>[[1,3,5,7],[2],[4],[6]]=>9 [1,7,3,5,4,6,2]=>[5,3,4,7,6,1,2]=>[2,1,6,7,4,3,5]=>[[1,3,4],[2,5,7],[6]]=>10 [1,7,3,5,6,2,4]=>[5,7,6,1,3,2,4]=>[4,2,3,1,6,7,5]=>[[1,3,5,6],[2,7],[4]]=>10 [1,7,3,5,6,4,2]=>[3,7,5,6,4,1,2]=>[2,1,4,6,5,7,3]=>[[1,3,4,6],[2,5],[7]]=>11 [1,7,3,6,2,4,5]=>[7,1,3,2,6,4,5]=>[5,4,6,2,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>9 [1,7,3,6,2,5,4]=>[1,7,6,3,5,2,4]=>[4,2,5,3,6,7,1]=>[[1,3,5,6],[2,4],[7]]=>10 [1,7,3,6,4,2,5]=>[1,7,6,3,4,2,5]=>[5,2,4,3,6,7,1]=>[[1,3,5,6],[2],[4],[7]]=>10 [1,7,3,6,4,5,2]=>[3,7,4,6,5,1,2]=>[2,1,5,6,4,7,3]=>[[1,3,4,6],[2,5],[7]]=>11 [1,7,3,6,5,2,4]=>[7,6,5,1,3,2,4]=>[4,2,3,1,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>11 [1,7,3,6,5,4,2]=>[7,6,3,5,4,1,2]=>[2,1,4,5,3,6,7]=>[[1,3,4,6,7],[2,5]]=>12 [1,7,4,2,3,5,6]=>[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>[[1,3],[2,6],[4],[5],[7]]=>7 [1,7,4,2,3,6,5]=>[1,2,7,4,6,3,5]=>[5,3,6,4,7,2,1]=>[[1,3,5],[2,4],[6],[7]]=>8 [1,7,4,2,5,3,6]=>[1,2,7,4,5,3,6]=>[6,3,5,4,7,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>8 [1,7,4,2,5,6,3]=>[1,4,5,7,6,2,3]=>[3,2,6,7,5,4,1]=>[[1,3,4],[2,5],[6],[7]]=>9 [1,7,4,2,6,3,5]=>[7,1,4,2,6,3,5]=>[5,3,6,2,4,1,7]=>[[1,3,7],[2,5],[4],[6]]=>9 [1,7,4,2,6,5,3]=>[7,1,4,6,5,2,3]=>[3,2,5,6,4,1,7]=>[[1,3,4,7],[2,5],[6]]=>10 [1,7,4,3,2,5,6]=>[4,3,1,2,7,5,6]=>[6,5,7,2,1,3,4]=>[[1,3,7],[2,6],[4],[5]]=>8 [1,7,4,3,2,6,5]=>[7,1,4,3,6,2,5]=>[5,2,6,3,4,1,7]=>[[1,3,5,7],[2,4],[6]]=>9 [1,7,4,3,5,2,6]=>[7,1,4,3,5,2,6]=>[6,2,5,3,4,1,7]=>[[1,3,5,7],[2],[4],[6]]=>9 [1,7,4,3,5,6,2]=>[4,3,5,7,6,1,2]=>[2,1,6,7,5,3,4]=>[[1,3,4],[2,5,7],[6]]=>10 [1,7,4,3,6,2,5]=>[4,7,6,1,3,2,5]=>[5,2,3,1,6,7,4]=>[[1,3,5,6],[2,7],[4]]=>10 [1,7,4,3,6,5,2]=>[4,7,3,6,5,1,2]=>[2,1,5,6,3,7,4]=>[[1,3,4,6],[2,5,7]]=>11 [1,7,4,5,2,3,6]=>[7,1,4,2,5,3,6]=>[6,3,5,2,4,1,7]=>[[1,3,7],[2,5],[4],[6]]=>9 [1,7,4,5,2,6,3]=>[4,1,5,7,6,2,3]=>[3,2,6,7,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>10 [1,7,4,5,3,2,6]=>[4,7,5,1,3,2,6]=>[6,2,3,1,5,7,4]=>[[1,3,5,6],[2,7],[4]]=>10 [1,7,4,5,3,6,2]=>[4,5,3,7,6,1,2]=>[2,1,6,7,3,5,4]=>[[1,3,4],[2,5,6],[7]]=>11 [1,7,4,5,6,2,3]=>[4,5,1,7,6,2,3]=>[3,2,6,7,1,5,4]=>[[1,3,4],[2,6],[5,7]]=>11 [1,7,4,5,6,3,2]=>[4,5,7,6,3,1,2]=>[2,1,3,6,7,5,4]=>[[1,3,4,5],[2,6],[7]]=>12 [1,7,4,6,2,3,5]=>[1,7,6,2,4,3,5]=>[5,3,4,2,6,7,1]=>[[1,3,5,6],[2],[4],[7]]=>10 [1,7,4,6,2,5,3]=>[4,7,1,6,5,2,3]=>[3,2,5,6,1,7,4]=>[[1,3,4,6],[2,7],[5]]=>11 [1,7,4,6,3,2,5]=>[7,6,4,1,3,2,5]=>[5,2,3,1,4,6,7]=>[[1,3,5,6,7],[2],[4]]=>11 [1,7,4,6,3,5,2]=>[7,4,3,6,5,1,2]=>[2,1,5,6,3,4,7]=>[[1,3,4,7],[2,5,6]]=>12 [1,7,4,6,5,2,3]=>[7,4,1,6,5,2,3]=>[3,2,5,6,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>12 [1,7,4,6,5,3,2]=>[7,4,6,5,3,1,2]=>[2,1,3,5,6,4,7]=>[[1,3,4,5,7],[2,6]]=>13 [1,7,5,2,3,4,6]=>[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>8 [1,7,5,2,3,6,4]=>[1,2,5,7,6,3,4]=>[4,3,6,7,5,2,1]=>[[1,3,4],[2,5],[6],[7]]=>9 [1,7,5,2,4,3,6]=>[7,1,5,2,4,3,6]=>[6,3,4,2,5,1,7]=>[[1,3,5,7],[2],[4],[6]]=>9 [1,7,5,2,4,6,3]=>[5,1,4,7,6,2,3]=>[3,2,6,7,4,1,5]=>[[1,3,4],[2,5,7],[6]]=>10 [1,7,5,2,6,3,4]=>[5,1,2,7,6,3,4]=>[4,3,6,7,2,1,5]=>[[1,3,4],[2,7],[5],[6]]=>10 [1,7,5,2,6,4,3]=>[1,7,5,6,4,2,3]=>[3,2,4,6,5,7,1]=>[[1,3,4,6],[2,5],[7]]=>11 [1,7,5,3,2,4,6]=>[7,1,3,2,5,4,6]=>[6,4,5,2,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>9 [1,7,5,3,2,6,4]=>[5,1,3,7,6,2,4]=>[4,2,6,7,3,1,5]=>[[1,3,4],[2,5,7],[6]]=>10 [1,7,5,3,4,2,6]=>[1,7,5,3,4,2,6]=>[6,2,4,3,5,7,1]=>[[1,3,5,6],[2],[4],[7]]=>10 [1,7,5,3,4,6,2]=>[3,5,4,7,6,1,2]=>[2,1,6,7,4,5,3]=>[[1,3,4],[2,5,6],[7]]=>11 [1,7,5,3,6,2,4]=>[1,7,5,6,3,2,4]=>[4,2,3,6,5,7,1]=>[[1,3,4,6],[2,5],[7]]=>11 [1,7,5,3,6,4,2]=>[3,5,7,6,4,1,2]=>[2,1,4,6,7,5,3]=>[[1,3,4,5],[2,6],[7]]=>12 [1,7,5,4,2,3,6]=>[1,7,5,2,4,3,6]=>[6,3,4,2,5,7,1]=>[[1,3,5,6],[2],[4],[7]]=>10 [1,7,5,4,2,6,3]=>[1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1]=>[[1,3,4],[2,5,6],[7]]=>11 [1,7,5,4,3,2,6]=>[7,5,4,1,3,2,6]=>[6,2,3,1,4,5,7]=>[[1,3,5,6,7],[2],[4]]=>11 [1,7,5,4,3,6,2]=>[5,4,3,7,6,1,2]=>[2,1,6,7,3,4,5]=>[[1,3,4,7],[2,5,6]]=>12 [1,7,5,4,6,2,3]=>[5,4,1,7,6,2,3]=>[3,2,6,7,1,4,5]=>[[1,3,4],[2,6,7],[5]]=>12 [1,7,5,4,6,3,2]=>[5,4,7,6,3,1,2]=>[2,1,3,6,7,4,5]=>[[1,3,4,5],[2,6,7]]=>13 [1,7,5,6,2,3,4]=>[1,5,2,7,6,3,4]=>[4,3,6,7,2,5,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [1,7,5,6,2,4,3]=>[1,5,7,6,4,2,3]=>[3,2,4,6,7,5,1]=>[[1,3,4,5],[2,6],[7]]=>12 [1,7,5,6,3,2,4]=>[1,5,7,6,3,2,4]=>[4,2,3,6,7,5,1]=>[[1,3,4,5],[2,6],[7]]=>12 [1,7,5,6,3,4,2]=>[5,3,7,6,4,1,2]=>[2,1,4,6,7,3,5]=>[[1,3,4,5],[2,6,7]]=>13 [1,7,5,6,4,2,3]=>[5,1,7,6,4,2,3]=>[3,2,4,6,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>13 [1,7,5,6,4,3,2]=>[5,7,6,4,3,1,2]=>[2,1,3,4,6,7,5]=>[[1,3,4,5,6],[2,7]]=>14 [1,7,6,2,3,4,5]=>[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>9 [1,7,6,2,3,5,4]=>[7,1,2,6,5,3,4]=>[4,3,5,6,2,1,7]=>[[1,3,4,7],[2],[5],[6]]=>10 [1,7,6,2,4,3,5]=>[7,1,2,6,4,3,5]=>[5,3,4,6,2,1,7]=>[[1,3,4,7],[2],[5],[6]]=>10 [1,7,6,2,4,5,3]=>[1,7,4,6,5,2,3]=>[3,2,5,6,4,7,1]=>[[1,3,4,6],[2,5],[7]]=>11 [1,7,6,2,5,3,4]=>[1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1]=>[[1,3,4,6],[2],[5],[7]]=>11 [1,7,6,2,5,4,3]=>[7,6,1,5,4,2,3]=>[3,2,4,5,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>12 [1,7,6,3,2,4,5]=>[3,1,2,7,6,4,5]=>[5,4,6,7,2,1,3]=>[[1,3,4],[2,7],[5],[6]]=>10 [1,7,6,3,2,5,4]=>[1,7,3,6,5,2,4]=>[4,2,5,6,3,7,1]=>[[1,3,4,6],[2,5],[7]]=>11 [1,7,6,3,4,2,5]=>[1,7,3,6,4,2,5]=>[5,2,4,6,3,7,1]=>[[1,3,4,6],[2],[5],[7]]=>11 [1,7,6,3,4,5,2]=>[3,4,7,6,5,1,2]=>[2,1,5,6,7,4,3]=>[[1,3,4,5],[2,6],[7]]=>12 [1,7,6,3,5,2,4]=>[7,6,1,5,3,2,4]=>[4,2,3,5,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>12 [1,7,6,3,5,4,2]=>[7,3,6,5,4,1,2]=>[2,1,4,5,6,3,7]=>[[1,3,4,5,7],[2,6]]=>13 [1,7,6,4,2,3,5]=>[1,7,2,6,4,3,5]=>[5,3,4,6,2,7,1]=>[[1,3,4,6],[2],[5],[7]]=>11 [1,7,6,4,2,5,3]=>[1,4,7,6,5,2,3]=>[3,2,5,6,7,4,1]=>[[1,3,4,5],[2,6],[7]]=>12 [1,7,6,4,3,2,5]=>[7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>12 [1,7,6,4,3,5,2]=>[4,3,7,6,5,1,2]=>[2,1,5,6,7,3,4]=>[[1,3,4,5],[2,6,7]]=>13 [1,7,6,4,5,2,3]=>[4,1,7,6,5,2,3]=>[3,2,5,6,7,1,4]=>[[1,3,4,5],[2,7],[6]]=>13 [1,7,6,4,5,3,2]=>[4,7,6,5,3,1,2]=>[2,1,3,5,6,7,4]=>[[1,3,4,5,6],[2,7]]=>14 [1,7,6,5,2,3,4]=>[1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1]=>[[1,3,4,5],[2],[6],[7]]=>12 [1,7,6,5,2,4,3]=>[7,1,6,5,4,2,3]=>[3,2,4,5,6,1,7]=>[[1,3,4,5,7],[2],[6]]=>13 [1,7,6,5,3,2,4]=>[7,1,6,5,3,2,4]=>[4,2,3,5,6,1,7]=>[[1,3,4,5,7],[2],[6]]=>13 [1,7,6,5,3,4,2]=>[3,7,6,5,4,1,2]=>[2,1,4,5,6,7,3]=>[[1,3,4,5,6],[2,7]]=>14 [1,7,6,5,4,2,3]=>[1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1]=>[[1,3,4,5,6],[2],[7]]=>14 [1,7,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>15 [2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]=>[[1,7],[2],[3],[4],[5],[6]]=>1 [2,1,3,4,5,7,6]=>[2,7,1,3,4,5,6]=>[6,5,4,3,1,7,2]=>[[1,6],[2,7],[3],[4],[5]]=>2 [2,1,3,4,6,5,7]=>[2,6,1,3,4,5,7]=>[7,5,4,3,1,6,2]=>[[1,6],[2,7],[3],[4],[5]]=>2 [2,1,3,4,6,7,5]=>[2,6,7,1,3,4,5]=>[5,4,3,1,7,6,2]=>[[1,5],[2,6],[3,7],[4]]=>3 [2,1,3,4,7,5,6]=>[7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7]=>[[1,6,7],[2],[3],[4],[5]]=>3 [2,1,3,4,7,6,5]=>[7,2,6,1,3,4,5]=>[5,4,3,1,6,2,7]=>[[1,5,7],[2,6],[3],[4]]=>4 [2,1,3,5,4,6,7]=>[2,5,1,3,4,6,7]=>[7,6,4,3,1,5,2]=>[[1,6],[2,7],[3],[4],[5]]=>2 [2,1,3,5,4,7,6]=>[2,5,7,1,3,4,6]=>[6,4,3,1,7,5,2]=>[[1,5],[2,6],[3,7],[4]]=>3 [2,1,3,5,6,4,7]=>[2,5,6,1,3,4,7]=>[7,4,3,1,6,5,2]=>[[1,5],[2,6],[3,7],[4]]=>3 [2,1,3,5,6,7,4]=>[2,5,6,7,1,3,4]=>[4,3,1,7,6,5,2]=>[[1,4],[2,5],[3,6],[7]]=>4 [2,1,3,5,7,4,6]=>[7,2,5,1,3,4,6]=>[6,4,3,1,5,2,7]=>[[1,5,7],[2,6],[3],[4]]=>4 [2,1,3,5,7,6,4]=>[7,2,5,6,1,3,4]=>[4,3,1,6,5,2,7]=>[[1,4,7],[2,5],[3,6]]=>5 [2,1,3,6,4,5,7]=>[6,2,1,3,4,5,7]=>[7,5,4,3,1,2,6]=>[[1,6,7],[2],[3],[4],[5]]=>3 [2,1,3,6,4,7,5]=>[6,2,7,1,3,4,5]=>[5,4,3,1,7,2,6]=>[[1,5,7],[2,6],[3],[4]]=>4 [2,1,3,6,5,4,7]=>[6,2,5,1,3,4,7]=>[7,4,3,1,5,2,6]=>[[1,5,7],[2,6],[3],[4]]=>4 [2,1,3,6,5,7,4]=>[6,2,5,7,1,3,4]=>[4,3,1,7,5,2,6]=>[[1,4,7],[2,5],[3,6]]=>5 [2,1,3,6,7,4,5]=>[6,7,2,1,3,4,5]=>[5,4,3,1,2,7,6]=>[[1,5,6],[2,7],[3],[4]]=>5 [2,1,3,6,7,5,4]=>[6,7,2,5,1,3,4]=>[4,3,1,5,2,7,6]=>[[1,4,6],[2,5,7],[3]]=>6 [2,1,3,7,4,5,6]=>[2,1,7,3,4,5,6]=>[6,5,4,3,7,1,2]=>[[1,5],[2,7],[3],[4],[6]]=>4 [2,1,3,7,4,6,5]=>[2,7,6,1,3,4,5]=>[5,4,3,1,6,7,2]=>[[1,5,6],[2,7],[3],[4]]=>5 [2,1,3,7,5,4,6]=>[2,7,5,1,3,4,6]=>[6,4,3,1,5,7,2]=>[[1,5,6],[2,7],[3],[4]]=>5 [2,1,3,7,5,6,4]=>[2,7,5,6,1,3,4]=>[4,3,1,6,5,7,2]=>[[1,4,6],[2,5],[3,7]]=>6 [2,1,3,7,6,4,5]=>[7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7]=>[[1,5,6,7],[2],[3],[4]]=>6 [2,1,3,7,6,5,4]=>[7,6,2,5,1,3,4]=>[4,3,1,5,2,6,7]=>[[1,4,6,7],[2,5],[3]]=>7 [2,1,4,3,5,6,7]=>[2,4,1,3,5,6,7]=>[7,6,5,3,1,4,2]=>[[1,6],[2,7],[3],[4],[5]]=>2 [2,1,4,3,5,7,6]=>[2,4,7,1,3,5,6]=>[6,5,3,1,7,4,2]=>[[1,5],[2,6],[3,7],[4]]=>3 [2,1,4,3,6,5,7]=>[2,4,6,1,3,5,7]=>[7,5,3,1,6,4,2]=>[[1,5],[2,6],[3,7],[4]]=>3 [2,1,4,3,6,7,5]=>[2,4,6,7,1,3,5]=>[5,3,1,7,6,4,2]=>[[1,4],[2,5],[3,6],[7]]=>4 [2,1,4,3,7,5,6]=>[7,2,4,1,3,5,6]=>[6,5,3,1,4,2,7]=>[[1,5,7],[2,6],[3],[4]]=>4 [2,1,4,3,7,6,5]=>[7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7]=>[[1,4,7],[2,5],[3,6]]=>5 [2,1,4,5,3,6,7]=>[2,4,5,1,3,6,7]=>[7,6,3,1,5,4,2]=>[[1,5],[2,6],[3],[4],[7]]=>3 [2,1,4,5,3,7,6]=>[2,4,5,7,1,3,6]=>[6,3,1,7,5,4,2]=>[[1,4],[2,5],[3,6],[7]]=>4 [2,1,4,5,6,3,7]=>[2,4,5,6,1,3,7]=>[7,3,1,6,5,4,2]=>[[1,4],[2,5],[3],[6],[7]]=>4 [2,1,4,5,6,7,3]=>[2,4,5,6,7,1,3]=>[3,1,7,6,5,4,2]=>[[1,3],[2,4],[5],[6],[7]]=>5 [2,1,4,5,7,3,6]=>[7,2,4,5,1,3,6]=>[6,3,1,5,4,2,7]=>[[1,4,7],[2,5],[3],[6]]=>5 [2,1,4,5,7,6,3]=>[7,2,4,5,6,1,3]=>[3,1,6,5,4,2,7]=>[[1,3,7],[2,4],[5],[6]]=>6 [2,1,4,6,3,5,7]=>[6,2,4,1,3,5,7]=>[7,5,3,1,4,2,6]=>[[1,5,7],[2,6],[3],[4]]=>4 [2,1,4,6,3,7,5]=>[6,2,4,7,1,3,5]=>[5,3,1,7,4,2,6]=>[[1,4,7],[2,5],[3,6]]=>5 [2,1,4,6,5,3,7]=>[6,2,4,5,1,3,7]=>[7,3,1,5,4,2,6]=>[[1,4,7],[2,5],[3],[6]]=>5 [2,1,4,6,5,7,3]=>[6,2,4,5,7,1,3]=>[3,1,7,5,4,2,6]=>[[1,3,7],[2,4],[5],[6]]=>6 [2,1,4,6,7,3,5]=>[6,7,2,4,1,3,5]=>[5,3,1,4,2,7,6]=>[[1,4,6],[2,5,7],[3]]=>6 [2,1,4,6,7,5,3]=>[6,7,2,4,5,1,3]=>[3,1,5,4,2,7,6]=>[[1,3,6],[2,4,7],[5]]=>7 [2,1,4,7,3,5,6]=>[2,7,4,1,3,5,6]=>[6,5,3,1,4,7,2]=>[[1,5,6],[2,7],[3],[4]]=>5 [2,1,4,7,3,6,5]=>[2,7,4,6,1,3,5]=>[5,3,1,6,4,7,2]=>[[1,4,6],[2,5],[3,7]]=>6 [2,1,4,7,5,3,6]=>[2,7,4,5,1,3,6]=>[6,3,1,5,4,7,2]=>[[1,4,6],[2,5],[3],[7]]=>6 [2,1,4,7,5,6,3]=>[2,7,4,5,6,1,3]=>[3,1,6,5,4,7,2]=>[[1,3,6],[2,4],[5],[7]]=>7 [2,1,4,7,6,3,5]=>[7,6,2,4,1,3,5]=>[5,3,1,4,2,6,7]=>[[1,4,6,7],[2,5],[3]]=>7 [2,1,4,7,6,5,3]=>[7,6,2,4,5,1,3]=>[3,1,5,4,2,6,7]=>[[1,3,6,7],[2,4],[5]]=>8 [2,1,5,3,4,6,7]=>[5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5]=>[[1,6,7],[2],[3],[4],[5]]=>3 [2,1,5,3,4,7,6]=>[5,2,7,1,3,4,6]=>[6,4,3,1,7,2,5]=>[[1,5,7],[2,6],[3],[4]]=>4 [2,1,5,3,6,4,7]=>[5,2,6,1,3,4,7]=>[7,4,3,1,6,2,5]=>[[1,5,7],[2,6],[3],[4]]=>4 [2,1,5,3,6,7,4]=>[5,2,6,7,1,3,4]=>[4,3,1,7,6,2,5]=>[[1,4,7],[2,5],[3,6]]=>5 [2,1,5,3,7,4,6]=>[5,7,2,1,3,4,6]=>[6,4,3,1,2,7,5]=>[[1,5,6],[2,7],[3],[4]]=>5 [2,1,5,3,7,6,4]=>[5,7,2,6,1,3,4]=>[4,3,1,6,2,7,5]=>[[1,4,6],[2,5,7],[3]]=>6 [2,1,5,4,3,6,7]=>[5,2,4,1,3,6,7]=>[7,6,3,1,4,2,5]=>[[1,5,7],[2,6],[3],[4]]=>4 [2,1,5,4,3,7,6]=>[5,2,4,7,1,3,6]=>[6,3,1,7,4,2,5]=>[[1,4,7],[2,5],[3,6]]=>5 [2,1,5,4,6,3,7]=>[5,2,4,6,1,3,7]=>[7,3,1,6,4,2,5]=>[[1,4,7],[2,5],[3],[6]]=>5 [2,1,5,4,6,7,3]=>[5,2,4,6,7,1,3]=>[3,1,7,6,4,2,5]=>[[1,3,7],[2,4],[5],[6]]=>6 [2,1,5,4,7,3,6]=>[5,7,2,4,1,3,6]=>[6,3,1,4,2,7,5]=>[[1,4,6],[2,5,7],[3]]=>6 [2,1,5,4,7,6,3]=>[5,7,2,4,6,1,3]=>[3,1,6,4,2,7,5]=>[[1,3,6],[2,4,7],[5]]=>7 [2,1,5,6,3,4,7]=>[5,6,2,1,3,4,7]=>[7,4,3,1,2,6,5]=>[[1,5,6],[2,7],[3],[4]]=>5 [2,1,5,6,3,7,4]=>[5,6,2,7,1,3,4]=>[4,3,1,7,2,6,5]=>[[1,4,6],[2,5],[3,7]]=>6 [2,1,5,6,4,3,7]=>[5,6,2,4,1,3,7]=>[7,3,1,4,2,6,5]=>[[1,4,6],[2,5,7],[3]]=>6 [2,1,5,6,4,7,3]=>[5,6,2,4,7,1,3]=>[3,1,7,4,2,6,5]=>[[1,3,6],[2,4,7],[5]]=>7 [2,1,5,6,7,3,4]=>[5,6,7,2,1,3,4]=>[4,3,1,2,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>7 [2,1,5,6,7,4,3]=>[5,6,7,2,4,1,3]=>[3,1,4,2,7,6,5]=>[[1,3,5],[2,4,6],[7]]=>8 [2,1,5,7,3,4,6]=>[7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7]=>[[1,5,6,7],[2],[3],[4]]=>6 [2,1,5,7,3,6,4]=>[7,5,2,6,1,3,4]=>[4,3,1,6,2,5,7]=>[[1,4,6,7],[2,5],[3]]=>7 [2,1,5,7,4,3,6]=>[7,5,2,4,1,3,6]=>[6,3,1,4,2,5,7]=>[[1,4,6,7],[2,5],[3]]=>7 [2,1,5,7,4,6,3]=>[7,5,2,4,6,1,3]=>[3,1,6,4,2,5,7]=>[[1,3,6,7],[2,4],[5]]=>8 [2,1,5,7,6,3,4]=>[7,5,6,2,1,3,4]=>[4,3,1,2,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>8 [2,1,5,7,6,4,3]=>[7,5,6,2,4,1,3]=>[3,1,4,2,6,5,7]=>[[1,3,5,7],[2,4,6]]=>9 [2,1,6,3,4,5,7]=>[2,1,6,3,4,5,7]=>[7,5,4,3,6,1,2]=>[[1,5],[2,7],[3],[4],[6]]=>4 [2,1,6,3,4,7,5]=>[2,1,6,7,3,4,5]=>[5,4,3,7,6,1,2]=>[[1,4],[2,5],[3,7],[6]]=>5 [2,1,6,3,5,4,7]=>[2,6,5,1,3,4,7]=>[7,4,3,1,5,6,2]=>[[1,5,6],[2,7],[3],[4]]=>5 [2,1,6,3,5,7,4]=>[2,6,5,7,1,3,4]=>[4,3,1,7,5,6,2]=>[[1,4,6],[2,5],[3,7]]=>6 [2,1,6,3,7,4,5]=>[2,6,1,7,3,4,5]=>[5,4,3,7,1,6,2]=>[[1,4],[2,6],[3,7],[5]]=>6 [2,1,6,3,7,5,4]=>[2,6,7,5,1,3,4]=>[4,3,1,5,7,6,2]=>[[1,4,5],[2,6],[3,7]]=>7 [2,1,6,4,3,5,7]=>[2,6,4,1,3,5,7]=>[7,5,3,1,4,6,2]=>[[1,5,6],[2,7],[3],[4]]=>5 [2,1,6,4,3,7,5]=>[2,6,4,7,1,3,5]=>[5,3,1,7,4,6,2]=>[[1,4,6],[2,5],[3,7]]=>6 [2,1,6,4,5,3,7]=>[2,6,4,5,1,3,7]=>[7,3,1,5,4,6,2]=>[[1,4,6],[2,5],[3],[7]]=>6 [2,1,6,4,5,7,3]=>[2,6,4,5,7,1,3]=>[3,1,7,5,4,6,2]=>[[1,3,6],[2,4],[5],[7]]=>7 [2,1,6,4,7,3,5]=>[2,6,7,4,1,3,5]=>[5,3,1,4,7,6,2]=>[[1,4,5],[2,6],[3,7]]=>7 [2,1,6,4,7,5,3]=>[2,6,7,4,5,1,3]=>[3,1,5,4,7,6,2]=>[[1,3,5],[2,4,6],[7]]=>8 [2,1,6,5,3,4,7]=>[6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6]=>[[1,5,6,7],[2],[3],[4]]=>6 [2,1,6,5,3,7,4]=>[6,5,2,7,1,3,4]=>[4,3,1,7,2,5,6]=>[[1,4,6,7],[2,5],[3]]=>7 [2,1,6,5,4,3,7]=>[6,5,2,4,1,3,7]=>[7,3,1,4,2,5,6]=>[[1,4,6,7],[2,5],[3]]=>7 [2,1,6,5,4,7,3]=>[6,5,2,4,7,1,3]=>[3,1,7,4,2,5,6]=>[[1,3,6,7],[2,4],[5]]=>8 [2,1,6,5,7,3,4]=>[6,5,7,2,1,3,4]=>[4,3,1,2,7,5,6]=>[[1,4,5,7],[2,6],[3]]=>8 [2,1,6,5,7,4,3]=>[6,5,7,2,4,1,3]=>[3,1,4,2,7,5,6]=>[[1,3,5,7],[2,4,6]]=>9 [2,1,6,7,3,4,5]=>[6,2,1,7,3,4,5]=>[5,4,3,7,1,2,6]=>[[1,4,7],[2,6],[3],[5]]=>7 [2,1,6,7,3,5,4]=>[6,2,7,5,1,3,4]=>[4,3,1,5,7,2,6]=>[[1,4,5],[2,6,7],[3]]=>8 [2,1,6,7,4,3,5]=>[6,2,7,4,1,3,5]=>[5,3,1,4,7,2,6]=>[[1,4,5],[2,6,7],[3]]=>8 [2,1,6,7,4,5,3]=>[6,2,7,4,5,1,3]=>[3,1,5,4,7,2,6]=>[[1,3,5],[2,4,7],[6]]=>9 [2,1,6,7,5,3,4]=>[6,7,5,2,1,3,4]=>[4,3,1,2,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>9 [2,1,6,7,5,4,3]=>[6,7,5,2,4,1,3]=>[3,1,4,2,5,7,6]=>[[1,3,5,6],[2,4,7]]=>10 [2,1,7,3,4,5,6]=>[2,1,3,7,4,5,6]=>[6,5,4,7,3,1,2]=>[[1,4],[2,7],[3],[5],[6]]=>5 [2,1,7,3,4,6,5]=>[2,7,1,6,3,4,5]=>[5,4,3,6,1,7,2]=>[[1,4,6],[2,7],[3],[5]]=>6 [2,1,7,3,5,4,6]=>[2,7,1,5,3,4,6]=>[6,4,3,5,1,7,2]=>[[1,4,6],[2,7],[3],[5]]=>6 [2,1,7,3,5,6,4]=>[2,5,7,6,1,3,4]=>[4,3,1,6,7,5,2]=>[[1,4,5],[2,6],[3,7]]=>7 [2,1,7,3,6,4,5]=>[7,2,1,6,3,4,5]=>[5,4,3,6,1,2,7]=>[[1,4,7],[2,6],[3],[5]]=>7 [2,1,7,3,6,5,4]=>[7,2,6,5,1,3,4]=>[4,3,1,5,6,2,7]=>[[1,4,5,7],[2,6],[3]]=>8 [2,1,7,4,3,5,6]=>[2,7,1,4,3,5,6]=>[6,5,3,4,1,7,2]=>[[1,4,6],[2,7],[3],[5]]=>6 [2,1,7,4,3,6,5]=>[2,4,7,6,1,3,5]=>[5,3,1,6,7,4,2]=>[[1,4,5],[2,6],[3,7]]=>7 [2,1,7,4,5,3,6]=>[2,4,7,5,1,3,6]=>[6,3,1,5,7,4,2]=>[[1,4,5],[2,6],[3],[7]]=>7 [2,1,7,4,5,6,3]=>[2,4,7,5,6,1,3]=>[3,1,6,5,7,4,2]=>[[1,3,5],[2,4],[6],[7]]=>8 [2,1,7,4,6,3,5]=>[7,2,6,4,1,3,5]=>[5,3,1,4,6,2,7]=>[[1,4,5,7],[2,6],[3]]=>8 [2,1,7,4,6,5,3]=>[7,2,6,4,5,1,3]=>[3,1,5,4,6,2,7]=>[[1,3,5,7],[2,4],[6]]=>9 [2,1,7,5,3,4,6]=>[7,2,1,5,3,4,6]=>[6,4,3,5,1,2,7]=>[[1,4,7],[2,6],[3],[5]]=>7 [2,1,7,5,3,6,4]=>[5,2,7,6,1,3,4]=>[4,3,1,6,7,2,5]=>[[1,4,5],[2,6,7],[3]]=>8 [2,1,7,5,4,3,6]=>[7,2,5,4,1,3,6]=>[6,3,1,4,5,2,7]=>[[1,4,5,7],[2,6],[3]]=>8 [2,1,7,5,4,6,3]=>[7,2,5,4,6,1,3]=>[3,1,6,4,5,2,7]=>[[1,3,5,7],[2,4],[6]]=>9 [2,1,7,5,6,3,4]=>[5,7,6,2,1,3,4]=>[4,3,1,2,6,7,5]=>[[1,4,5,6],[2,7],[3]]=>9 [2,1,7,5,6,4,3]=>[5,7,6,2,4,1,3]=>[3,1,4,2,6,7,5]=>[[1,3,5,6],[2,4,7]]=>10 [2,1,7,6,3,4,5]=>[2,1,7,6,3,4,5]=>[5,4,3,6,7,1,2]=>[[1,4,5],[2,7],[3],[6]]=>8 [2,1,7,6,3,5,4]=>[2,7,6,5,1,3,4]=>[4,3,1,5,6,7,2]=>[[1,4,5,6],[2,7],[3]]=>9 [2,1,7,6,4,3,5]=>[2,7,6,4,1,3,5]=>[5,3,1,4,6,7,2]=>[[1,4,5,6],[2,7],[3]]=>9 [2,1,7,6,4,5,3]=>[2,7,6,4,5,1,3]=>[3,1,5,4,6,7,2]=>[[1,3,5,6],[2,4],[7]]=>10 [2,1,7,6,5,3,4]=>[7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>10 [2,1,7,6,5,4,3]=>[7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7]=>[[1,3,5,6,7],[2,4]]=>11 [2,3,1,4,5,6,7]=>[2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2]=>[[1,6],[2],[3],[4],[5],[7]]=>2 [2,3,1,4,5,7,6]=>[2,3,7,1,4,5,6]=>[6,5,4,1,7,3,2]=>[[1,5],[2,6],[3],[4],[7]]=>3 [2,3,1,4,6,5,7]=>[2,3,6,1,4,5,7]=>[7,5,4,1,6,3,2]=>[[1,5],[2,6],[3],[4],[7]]=>3 [2,3,1,4,6,7,5]=>[2,3,6,7,1,4,5]=>[5,4,1,7,6,3,2]=>[[1,4],[2,5],[3,6],[7]]=>4 [2,3,1,4,7,5,6]=>[7,2,3,1,4,5,6]=>[6,5,4,1,3,2,7]=>[[1,5,7],[2],[3],[4],[6]]=>4 [2,3,1,4,7,6,5]=>[7,2,3,6,1,4,5]=>[5,4,1,6,3,2,7]=>[[1,4,7],[2,5],[3],[6]]=>5 [2,3,1,5,4,6,7]=>[2,3,5,1,4,6,7]=>[7,6,4,1,5,3,2]=>[[1,5],[2,6],[3],[4],[7]]=>3 [2,3,1,5,4,7,6]=>[2,3,5,7,1,4,6]=>[6,4,1,7,5,3,2]=>[[1,4],[2,5],[3,6],[7]]=>4 [2,3,1,5,6,4,7]=>[2,3,5,6,1,4,7]=>[7,4,1,6,5,3,2]=>[[1,4],[2,5],[3],[6],[7]]=>4 [2,3,1,5,6,7,4]=>[2,3,5,6,7,1,4]=>[4,1,7,6,5,3,2]=>[[1,3],[2,4],[5],[6],[7]]=>5 [2,3,1,5,7,4,6]=>[7,2,3,5,1,4,6]=>[6,4,1,5,3,2,7]=>[[1,4,7],[2,5],[3],[6]]=>5 [2,3,1,5,7,6,4]=>[7,2,3,5,6,1,4]=>[4,1,6,5,3,2,7]=>[[1,3,7],[2,4],[5],[6]]=>6 [2,3,1,6,4,5,7]=>[6,2,3,1,4,5,7]=>[7,5,4,1,3,2,6]=>[[1,5,7],[2],[3],[4],[6]]=>4 [2,3,1,6,4,7,5]=>[6,2,3,7,1,4,5]=>[5,4,1,7,3,2,6]=>[[1,4,7],[2,5],[3],[6]]=>5 [2,3,1,6,5,4,7]=>[6,2,3,5,1,4,7]=>[7,4,1,5,3,2,6]=>[[1,4,7],[2,5],[3],[6]]=>5 [2,3,1,6,5,7,4]=>[6,2,3,5,7,1,4]=>[4,1,7,5,3,2,6]=>[[1,3,7],[2,4],[5],[6]]=>6 [2,3,1,6,7,4,5]=>[6,7,2,3,1,4,5]=>[5,4,1,3,2,7,6]=>[[1,4,6],[2,7],[3],[5]]=>6 [2,3,1,6,7,5,4]=>[6,7,2,3,5,1,4]=>[4,1,5,3,2,7,6]=>[[1,3,6],[2,4,7],[5]]=>7 [2,3,1,7,4,5,6]=>[2,7,3,1,4,5,6]=>[6,5,4,1,3,7,2]=>[[1,5,6],[2],[3],[4],[7]]=>5 [2,3,1,7,4,6,5]=>[2,7,3,6,1,4,5]=>[5,4,1,6,3,7,2]=>[[1,4,6],[2,5],[3],[7]]=>6 [2,3,1,7,5,4,6]=>[2,7,3,5,1,4,6]=>[6,4,1,5,3,7,2]=>[[1,4,6],[2,5],[3],[7]]=>6 [2,3,1,7,5,6,4]=>[2,7,3,5,6,1,4]=>[4,1,6,5,3,7,2]=>[[1,3,6],[2,4],[5],[7]]=>7 [2,3,1,7,6,4,5]=>[7,6,2,3,1,4,5]=>[5,4,1,3,2,6,7]=>[[1,4,6,7],[2],[3],[5]]=>7 [2,3,1,7,6,5,4]=>[7,6,2,3,5,1,4]=>[4,1,5,3,2,6,7]=>[[1,3,6,7],[2,4],[5]]=>8 [2,3,4,1,5,6,7]=>[2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2]=>[[1,5],[2],[3],[4],[6],[7]]=>3 [2,3,4,1,5,7,6]=>[2,3,4,7,1,5,6]=>[6,5,1,7,4,3,2]=>[[1,4],[2,5],[3],[6],[7]]=>4 [2,3,4,1,6,5,7]=>[2,3,4,6,1,5,7]=>[7,5,1,6,4,3,2]=>[[1,4],[2,5],[3],[6],[7]]=>4 [2,3,4,1,6,7,5]=>[2,3,4,6,7,1,5]=>[5,1,7,6,4,3,2]=>[[1,3],[2,4],[5],[6],[7]]=>5 [2,3,4,1,7,5,6]=>[7,2,3,4,1,5,6]=>[6,5,1,4,3,2,7]=>[[1,4,7],[2],[3],[5],[6]]=>5 [2,3,4,1,7,6,5]=>[7,2,3,4,6,1,5]=>[5,1,6,4,3,2,7]=>[[1,3,7],[2,4],[5],[6]]=>6 [2,3,4,5,1,6,7]=>[2,3,4,5,1,6,7]=>[7,6,1,5,4,3,2]=>[[1,4],[2],[3],[5],[6],[7]]=>4 [2,3,4,5,1,7,6]=>[2,3,4,5,7,1,6]=>[6,1,7,5,4,3,2]=>[[1,3],[2,4],[5],[6],[7]]=>5 [2,3,4,5,6,1,7]=>[2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2]=>[[1,3],[2],[4],[5],[6],[7]]=>5 [2,3,4,5,6,7,1]=>[2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>6 [2,3,4,5,7,1,6]=>[7,2,3,4,5,1,6]=>[6,1,5,4,3,2,7]=>[[1,3,7],[2],[4],[5],[6]]=>6 [2,3,4,5,7,6,1]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>7 [2,3,4,6,1,5,7]=>[6,2,3,4,1,5,7]=>[7,5,1,4,3,2,6]=>[[1,4,7],[2],[3],[5],[6]]=>5 [2,3,4,6,1,7,5]=>[6,2,3,4,7,1,5]=>[5,1,7,4,3,2,6]=>[[1,3,7],[2,4],[5],[6]]=>6 [2,3,4,6,5,1,7]=>[6,2,3,4,5,1,7]=>[7,1,5,4,3,2,6]=>[[1,3,7],[2],[4],[5],[6]]=>6 [2,3,4,6,5,7,1]=>[6,2,3,4,5,7,1]=>[1,7,5,4,3,2,6]=>[[1,2,7],[3],[4],[5],[6]]=>7 [2,3,4,6,7,1,5]=>[6,7,2,3,4,1,5]=>[5,1,4,3,2,7,6]=>[[1,3,6],[2,7],[4],[5]]=>7 [2,3,4,6,7,5,1]=>[6,7,2,3,4,5,1]=>[1,5,4,3,2,7,6]=>[[1,2,6],[3,7],[4],[5]]=>8 [2,3,4,7,1,5,6]=>[2,7,3,4,1,5,6]=>[6,5,1,4,3,7,2]=>[[1,4,6],[2],[3],[5],[7]]=>6 [2,3,4,7,1,6,5]=>[2,7,3,4,6,1,5]=>[5,1,6,4,3,7,2]=>[[1,3,6],[2,4],[5],[7]]=>7 [2,3,4,7,5,1,6]=>[2,7,3,4,5,1,6]=>[6,1,5,4,3,7,2]=>[[1,3,6],[2],[4],[5],[7]]=>7 [2,3,4,7,5,6,1]=>[2,7,3,4,5,6,1]=>[1,6,5,4,3,7,2]=>[[1,2,6],[3],[4],[5],[7]]=>8 [2,3,4,7,6,1,5]=>[7,6,2,3,4,1,5]=>[5,1,4,3,2,6,7]=>[[1,3,6,7],[2],[4],[5]]=>8 [2,3,4,7,6,5,1]=>[7,6,2,3,4,5,1]=>[1,5,4,3,2,6,7]=>[[1,2,6,7],[3],[4],[5]]=>9 [2,3,5,1,4,6,7]=>[5,2,3,1,4,6,7]=>[7,6,4,1,3,2,5]=>[[1,5,7],[2],[3],[4],[6]]=>4 [2,3,5,1,4,7,6]=>[5,2,3,7,1,4,6]=>[6,4,1,7,3,2,5]=>[[1,4,7],[2,5],[3],[6]]=>5 [2,3,5,1,6,4,7]=>[5,2,3,6,1,4,7]=>[7,4,1,6,3,2,5]=>[[1,4,7],[2,5],[3],[6]]=>5 [2,3,5,1,6,7,4]=>[5,2,3,6,7,1,4]=>[4,1,7,6,3,2,5]=>[[1,3,7],[2,4],[5],[6]]=>6 [2,3,5,1,7,4,6]=>[5,7,2,3,1,4,6]=>[6,4,1,3,2,7,5]=>[[1,4,6],[2,7],[3],[5]]=>6 [2,3,5,1,7,6,4]=>[5,7,2,3,6,1,4]=>[4,1,6,3,2,7,5]=>[[1,3,6],[2,4,7],[5]]=>7 [2,3,5,4,1,6,7]=>[5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5]=>[[1,4,7],[2],[3],[5],[6]]=>5 [2,3,5,4,1,7,6]=>[5,2,3,4,7,1,6]=>[6,1,7,4,3,2,5]=>[[1,3,7],[2,4],[5],[6]]=>6 [2,3,5,4,6,1,7]=>[5,2,3,4,6,1,7]=>[7,1,6,4,3,2,5]=>[[1,3,7],[2],[4],[5],[6]]=>6 [2,3,5,4,6,7,1]=>[5,2,3,4,6,7,1]=>[1,7,6,4,3,2,5]=>[[1,2,7],[3],[4],[5],[6]]=>7 [2,3,5,4,7,1,6]=>[5,7,2,3,4,1,6]=>[6,1,4,3,2,7,5]=>[[1,3,6],[2,7],[4],[5]]=>7 [2,3,5,4,7,6,1]=>[5,7,2,3,4,6,1]=>[1,6,4,3,2,7,5]=>[[1,2,6],[3,7],[4],[5]]=>8 [2,3,5,6,1,4,7]=>[5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5]=>[[1,4,6],[2,7],[3],[5]]=>6 [2,3,5,6,1,7,4]=>[5,6,2,3,7,1,4]=>[4,1,7,3,2,6,5]=>[[1,3,6],[2,4],[5,7]]=>7 [2,3,5,6,4,1,7]=>[5,6,2,3,4,1,7]=>[7,1,4,3,2,6,5]=>[[1,3,6],[2,7],[4],[5]]=>7 [2,3,5,6,4,7,1]=>[5,6,2,3,4,7,1]=>[1,7,4,3,2,6,5]=>[[1,2,6],[3,7],[4],[5]]=>8 [2,3,5,6,7,1,4]=>[5,6,7,2,3,1,4]=>[4,1,3,2,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>8 [2,3,5,6,7,4,1]=>[5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>9 [2,3,5,7,1,4,6]=>[7,5,2,3,1,4,6]=>[6,4,1,3,2,5,7]=>[[1,4,6,7],[2],[3],[5]]=>7 [2,3,5,7,1,6,4]=>[7,5,2,3,6,1,4]=>[4,1,6,3,2,5,7]=>[[1,3,6,7],[2,4],[5]]=>8 [2,3,5,7,4,1,6]=>[7,5,2,3,4,1,6]=>[6,1,4,3,2,5,7]=>[[1,3,6,7],[2],[4],[5]]=>8 [2,3,5,7,4,6,1]=>[7,5,2,3,4,6,1]=>[1,6,4,3,2,5,7]=>[[1,2,6,7],[3],[4],[5]]=>9 [2,3,5,7,6,1,4]=>[7,5,6,2,3,1,4]=>[4,1,3,2,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>9 [2,3,5,7,6,4,1]=>[7,5,6,2,3,4,1]=>[1,4,3,2,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>10 [2,3,6,1,4,5,7]=>[2,6,3,1,4,5,7]=>[7,5,4,1,3,6,2]=>[[1,5,6],[2],[3],[4],[7]]=>5 [2,3,6,1,4,7,5]=>[2,6,3,7,1,4,5]=>[5,4,1,7,3,6,2]=>[[1,4,6],[2,5],[3],[7]]=>6 [2,3,6,1,5,4,7]=>[2,6,3,5,1,4,7]=>[7,4,1,5,3,6,2]=>[[1,4,6],[2,5],[3],[7]]=>6 [2,3,6,1,5,7,4]=>[2,6,3,5,7,1,4]=>[4,1,7,5,3,6,2]=>[[1,3,6],[2,4],[5],[7]]=>7 [2,3,6,1,7,4,5]=>[2,6,7,3,1,4,5]=>[5,4,1,3,7,6,2]=>[[1,4,5],[2,6],[3],[7]]=>7 [2,3,6,1,7,5,4]=>[2,6,7,3,5,1,4]=>[4,1,5,3,7,6,2]=>[[1,3,5],[2,4,6],[7]]=>8 [2,3,6,4,1,5,7]=>[2,6,3,4,1,5,7]=>[7,5,1,4,3,6,2]=>[[1,4,6],[2],[3],[5],[7]]=>6 [2,3,6,4,1,7,5]=>[2,6,3,4,7,1,5]=>[5,1,7,4,3,6,2]=>[[1,3,6],[2,4],[5],[7]]=>7 [2,3,6,4,5,1,7]=>[2,6,3,4,5,1,7]=>[7,1,5,4,3,6,2]=>[[1,3,6],[2],[4],[5],[7]]=>7 [2,3,6,4,5,7,1]=>[2,6,3,4,5,7,1]=>[1,7,5,4,3,6,2]=>[[1,2,6],[3],[4],[5],[7]]=>8 [2,3,6,4,7,1,5]=>[2,6,7,3,4,1,5]=>[5,1,4,3,7,6,2]=>[[1,3,5],[2,6],[4],[7]]=>8 [2,3,6,4,7,5,1]=>[2,6,7,3,4,5,1]=>[1,5,4,3,7,6,2]=>[[1,2,5],[3,6],[4],[7]]=>9 [2,3,6,5,1,4,7]=>[6,5,2,3,1,4,7]=>[7,4,1,3,2,5,6]=>[[1,4,6,7],[2],[3],[5]]=>7 [2,3,6,5,1,7,4]=>[6,5,2,3,7,1,4]=>[4,1,7,3,2,5,6]=>[[1,3,6,7],[2,4],[5]]=>8 [2,3,6,5,4,1,7]=>[6,5,2,3,4,1,7]=>[7,1,4,3,2,5,6]=>[[1,3,6,7],[2],[4],[5]]=>8 [2,3,6,5,4,7,1]=>[6,5,2,3,4,7,1]=>[1,7,4,3,2,5,6]=>[[1,2,6,7],[3],[4],[5]]=>9 [2,3,6,5,7,1,4]=>[6,5,7,2,3,1,4]=>[4,1,3,2,7,5,6]=>[[1,3,5,7],[2,6],[4]]=>9 [2,3,6,5,7,4,1]=>[6,5,7,2,3,4,1]=>[1,4,3,2,7,5,6]=>[[1,2,5,7],[3,6],[4]]=>10 [2,3,6,7,1,4,5]=>[6,2,7,3,1,4,5]=>[5,4,1,3,7,2,6]=>[[1,4,5],[2,7],[3],[6]]=>8 [2,3,6,7,1,5,4]=>[6,2,7,3,5,1,4]=>[4,1,5,3,7,2,6]=>[[1,3,5],[2,4,7],[6]]=>9 [2,3,6,7,4,1,5]=>[6,2,7,3,4,1,5]=>[5,1,4,3,7,2,6]=>[[1,3,5],[2,7],[4],[6]]=>9 [2,3,6,7,4,5,1]=>[6,2,7,3,4,5,1]=>[1,5,4,3,7,2,6]=>[[1,2,5],[3,7],[4],[6]]=>10 [2,3,6,7,5,1,4]=>[6,7,5,2,3,1,4]=>[4,1,3,2,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>10 [2,3,6,7,5,4,1]=>[6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>11 [2,3,7,1,4,5,6]=>[2,3,1,7,4,5,6]=>[6,5,4,7,1,3,2]=>[[1,4],[2,6],[3],[5],[7]]=>6 [2,3,7,1,4,6,5]=>[2,3,7,6,1,4,5]=>[5,4,1,6,7,3,2]=>[[1,4,5],[2,6],[3],[7]]=>7 [2,3,7,1,5,4,6]=>[2,3,7,5,1,4,6]=>[6,4,1,5,7,3,2]=>[[1,4,5],[2,6],[3],[7]]=>7 [2,3,7,1,5,6,4]=>[2,3,7,5,6,1,4]=>[4,1,6,5,7,3,2]=>[[1,3,5],[2,4],[6],[7]]=>8 [2,3,7,1,6,4,5]=>[7,2,6,3,1,4,5]=>[5,4,1,3,6,2,7]=>[[1,4,5,7],[2],[3],[6]]=>8 [2,3,7,1,6,5,4]=>[7,2,6,3,5,1,4]=>[4,1,5,3,6,2,7]=>[[1,3,5,7],[2,4],[6]]=>9 [2,3,7,4,1,5,6]=>[2,3,7,4,1,5,6]=>[6,5,1,4,7,3,2]=>[[1,4,5],[2],[3],[6],[7]]=>7 [2,3,7,4,1,6,5]=>[2,3,7,4,6,1,5]=>[5,1,6,4,7,3,2]=>[[1,3,5],[2,4],[6],[7]]=>8 [2,3,7,4,5,1,6]=>[2,3,7,4,5,1,6]=>[6,1,5,4,7,3,2]=>[[1,3,5],[2],[4],[6],[7]]=>8 [2,3,7,4,5,6,1]=>[2,3,7,4,5,6,1]=>[1,6,5,4,7,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>9 [2,3,7,4,6,1,5]=>[7,2,6,3,4,1,5]=>[5,1,4,3,6,2,7]=>[[1,3,5,7],[2],[4],[6]]=>9 [2,3,7,4,6,5,1]=>[7,2,6,3,4,5,1]=>[1,5,4,3,6,2,7]=>[[1,2,5,7],[3],[4],[6]]=>10 [2,3,7,5,1,4,6]=>[7,2,5,3,1,4,6]=>[6,4,1,3,5,2,7]=>[[1,4,5,7],[2],[3],[6]]=>8 [2,3,7,5,1,6,4]=>[7,2,5,3,6,1,4]=>[4,1,6,3,5,2,7]=>[[1,3,5,7],[2,4],[6]]=>9 [2,3,7,5,4,1,6]=>[7,2,5,3,4,1,6]=>[6,1,4,3,5,2,7]=>[[1,3,5,7],[2],[4],[6]]=>9 [2,3,7,5,4,6,1]=>[7,2,5,3,4,6,1]=>[1,6,4,3,5,2,7]=>[[1,2,5,7],[3],[4],[6]]=>10 [2,3,7,5,6,1,4]=>[5,7,6,2,3,1,4]=>[4,1,3,2,6,7,5]=>[[1,3,5,6],[2,7],[4]]=>10 [2,3,7,5,6,4,1]=>[5,7,6,2,3,4,1]=>[1,4,3,2,6,7,5]=>[[1,2,5,6],[3,7],[4]]=>11 [2,3,7,6,1,4,5]=>[2,7,6,3,1,4,5]=>[5,4,1,3,6,7,2]=>[[1,4,5,6],[2],[3],[7]]=>9 [2,3,7,6,1,5,4]=>[2,7,6,3,5,1,4]=>[4,1,5,3,6,7,2]=>[[1,3,5,6],[2,4],[7]]=>10 [2,3,7,6,4,1,5]=>[2,7,6,3,4,1,5]=>[5,1,4,3,6,7,2]=>[[1,3,5,6],[2],[4],[7]]=>10 [2,3,7,6,4,5,1]=>[2,7,6,3,4,5,1]=>[1,5,4,3,6,7,2]=>[[1,2,5,6],[3],[4],[7]]=>11 [2,3,7,6,5,1,4]=>[7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>11 [2,3,7,6,5,4,1]=>[7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>12 [2,4,1,3,5,6,7]=>[4,2,1,3,5,6,7]=>[7,6,5,3,1,2,4]=>[[1,6,7],[2],[3],[4],[5]]=>3 [2,4,1,3,5,7,6]=>[4,2,7,1,3,5,6]=>[6,5,3,1,7,2,4]=>[[1,5,7],[2,6],[3],[4]]=>4 [2,4,1,3,6,5,7]=>[4,2,6,1,3,5,7]=>[7,5,3,1,6,2,4]=>[[1,5,7],[2,6],[3],[4]]=>4 [2,4,1,3,6,7,5]=>[4,2,6,7,1,3,5]=>[5,3,1,7,6,2,4]=>[[1,4,7],[2,5],[3,6]]=>5 [2,4,1,3,7,5,6]=>[4,7,2,1,3,5,6]=>[6,5,3,1,2,7,4]=>[[1,5,6],[2,7],[3],[4]]=>5 [2,4,1,3,7,6,5]=>[4,7,2,6,1,3,5]=>[5,3,1,6,2,7,4]=>[[1,4,6],[2,5,7],[3]]=>6 [2,4,1,5,3,6,7]=>[4,2,5,1,3,6,7]=>[7,6,3,1,5,2,4]=>[[1,5,7],[2,6],[3],[4]]=>4 [2,4,1,5,3,7,6]=>[4,2,5,7,1,3,6]=>[6,3,1,7,5,2,4]=>[[1,4,7],[2,5],[3,6]]=>5 [2,4,1,5,6,3,7]=>[4,2,5,6,1,3,7]=>[7,3,1,6,5,2,4]=>[[1,4,7],[2,5],[3],[6]]=>5 [2,4,1,5,6,7,3]=>[4,2,5,6,7,1,3]=>[3,1,7,6,5,2,4]=>[[1,3,7],[2,4],[5],[6]]=>6 [2,4,1,5,7,3,6]=>[4,7,2,5,1,3,6]=>[6,3,1,5,2,7,4]=>[[1,4,6],[2,5,7],[3]]=>6 [2,4,1,5,7,6,3]=>[4,7,2,5,6,1,3]=>[3,1,6,5,2,7,4]=>[[1,3,6],[2,4,7],[5]]=>7 [2,4,1,6,3,5,7]=>[4,6,2,1,3,5,7]=>[7,5,3,1,2,6,4]=>[[1,5,6],[2,7],[3],[4]]=>5 [2,4,1,6,3,7,5]=>[4,6,2,7,1,3,5]=>[5,3,1,7,2,6,4]=>[[1,4,6],[2,5],[3,7]]=>6 [2,4,1,6,5,3,7]=>[4,6,2,5,1,3,7]=>[7,3,1,5,2,6,4]=>[[1,4,6],[2,5,7],[3]]=>6 [2,4,1,6,5,7,3]=>[4,6,2,5,7,1,3]=>[3,1,7,5,2,6,4]=>[[1,3,6],[2,4,7],[5]]=>7 [2,4,1,6,7,3,5]=>[4,6,7,2,1,3,5]=>[5,3,1,2,7,6,4]=>[[1,4,5],[2,6],[3,7]]=>7 [2,4,1,6,7,5,3]=>[4,6,7,2,5,1,3]=>[3,1,5,2,7,6,4]=>[[1,3,5],[2,4,6],[7]]=>8 [2,4,1,7,3,5,6]=>[7,4,2,1,3,5,6]=>[6,5,3,1,2,4,7]=>[[1,5,6,7],[2],[3],[4]]=>6 [2,4,1,7,3,6,5]=>[7,4,2,6,1,3,5]=>[5,3,1,6,2,4,7]=>[[1,4,6,7],[2,5],[3]]=>7 [2,4,1,7,5,3,6]=>[7,4,2,5,1,3,6]=>[6,3,1,5,2,4,7]=>[[1,4,6,7],[2,5],[3]]=>7 [2,4,1,7,5,6,3]=>[7,4,2,5,6,1,3]=>[3,1,6,5,2,4,7]=>[[1,3,6,7],[2,4],[5]]=>8 [2,4,1,7,6,3,5]=>[7,4,6,2,1,3,5]=>[5,3,1,2,6,4,7]=>[[1,4,5,7],[2,6],[3]]=>8 [2,4,1,7,6,5,3]=>[7,4,6,2,5,1,3]=>[3,1,5,2,6,4,7]=>[[1,3,5,7],[2,4,6]]=>9 [2,4,3,1,5,6,7]=>[4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4]=>[[1,5,7],[2],[3],[4],[6]]=>4 [2,4,3,1,5,7,6]=>[4,2,3,7,1,5,6]=>[6,5,1,7,3,2,4]=>[[1,4,7],[2,5],[3],[6]]=>5 [2,4,3,1,6,5,7]=>[4,2,3,6,1,5,7]=>[7,5,1,6,3,2,4]=>[[1,4,7],[2,5],[3],[6]]=>5 [2,4,3,1,6,7,5]=>[4,2,3,6,7,1,5]=>[5,1,7,6,3,2,4]=>[[1,3,7],[2,4],[5],[6]]=>6 [2,4,3,1,7,5,6]=>[4,7,2,3,1,5,6]=>[6,5,1,3,2,7,4]=>[[1,4,6],[2,7],[3],[5]]=>6 [2,4,3,1,7,6,5]=>[4,7,2,3,6,1,5]=>[5,1,6,3,2,7,4]=>[[1,3,6],[2,4,7],[5]]=>7 [2,4,3,5,1,6,7]=>[4,2,3,5,1,6,7]=>[7,6,1,5,3,2,4]=>[[1,4,7],[2],[3],[5],[6]]=>5 [2,4,3,5,1,7,6]=>[4,2,3,5,7,1,6]=>[6,1,7,5,3,2,4]=>[[1,3,7],[2,4],[5],[6]]=>6 [2,4,3,5,6,1,7]=>[4,2,3,5,6,1,7]=>[7,1,6,5,3,2,4]=>[[1,3,7],[2],[4],[5],[6]]=>6 [2,4,3,5,6,7,1]=>[4,2,3,5,6,7,1]=>[1,7,6,5,3,2,4]=>[[1,2,7],[3],[4],[5],[6]]=>7 [2,4,3,5,7,1,6]=>[4,7,2,3,5,1,6]=>[6,1,5,3,2,7,4]=>[[1,3,6],[2,7],[4],[5]]=>7 [2,4,3,5,7,6,1]=>[4,7,2,3,5,6,1]=>[1,6,5,3,2,7,4]=>[[1,2,6],[3,7],[4],[5]]=>8 [2,4,3,6,1,5,7]=>[4,6,2,3,1,5,7]=>[7,5,1,3,2,6,4]=>[[1,4,6],[2,7],[3],[5]]=>6 [2,4,3,6,1,7,5]=>[4,6,2,3,7,1,5]=>[5,1,7,3,2,6,4]=>[[1,3,6],[2,4],[5,7]]=>7 [2,4,3,6,5,1,7]=>[4,6,2,3,5,1,7]=>[7,1,5,3,2,6,4]=>[[1,3,6],[2,7],[4],[5]]=>7 [2,4,3,6,5,7,1]=>[4,6,2,3,5,7,1]=>[1,7,5,3,2,6,4]=>[[1,2,6],[3,7],[4],[5]]=>8 [2,4,3,6,7,1,5]=>[4,6,7,2,3,1,5]=>[5,1,3,2,7,6,4]=>[[1,3,5],[2,6],[4,7]]=>8 [2,4,3,6,7,5,1]=>[4,6,7,2,3,5,1]=>[1,5,3,2,7,6,4]=>[[1,2,5],[3,6],[4,7]]=>9 [2,4,3,7,1,5,6]=>[7,4,2,3,1,5,6]=>[6,5,1,3,2,4,7]=>[[1,4,6,7],[2],[3],[5]]=>7 [2,4,3,7,1,6,5]=>[7,4,2,3,6,1,5]=>[5,1,6,3,2,4,7]=>[[1,3,6,7],[2,4],[5]]=>8 [2,4,3,7,5,1,6]=>[7,4,2,3,5,1,6]=>[6,1,5,3,2,4,7]=>[[1,3,6,7],[2],[4],[5]]=>8 [2,4,3,7,5,6,1]=>[7,4,2,3,5,6,1]=>[1,6,5,3,2,4,7]=>[[1,2,6,7],[3],[4],[5]]=>9 [2,4,3,7,6,1,5]=>[7,4,6,2,3,1,5]=>[5,1,3,2,6,4,7]=>[[1,3,5,7],[2,6],[4]]=>9 [2,4,3,7,6,5,1]=>[7,4,6,2,3,5,1]=>[1,5,3,2,6,4,7]=>[[1,2,5,7],[3,6],[4]]=>10 [2,4,5,1,3,6,7]=>[4,5,2,1,3,6,7]=>[7,6,3,1,2,5,4]=>[[1,5,6],[2,7],[3],[4]]=>5 [2,4,5,1,3,7,6]=>[4,5,2,7,1,3,6]=>[6,3,1,7,2,5,4]=>[[1,4,6],[2,5],[3,7]]=>6 [2,4,5,1,6,3,7]=>[4,5,2,6,1,3,7]=>[7,3,1,6,2,5,4]=>[[1,4,6],[2,5],[3],[7]]=>6 [2,4,5,1,6,7,3]=>[4,5,2,6,7,1,3]=>[3,1,7,6,2,5,4]=>[[1,3,6],[2,4],[5],[7]]=>7 [2,4,5,1,7,3,6]=>[4,5,7,2,1,3,6]=>[6,3,1,2,7,5,4]=>[[1,4,5],[2,6],[3,7]]=>7 [2,4,5,1,7,6,3]=>[4,5,7,2,6,1,3]=>[3,1,6,2,7,5,4]=>[[1,3,5],[2,4,6],[7]]=>8 [2,4,5,3,1,6,7]=>[4,5,2,3,1,6,7]=>[7,6,1,3,2,5,4]=>[[1,4,6],[2,7],[3],[5]]=>6 [2,4,5,3,1,7,6]=>[4,5,2,3,7,1,6]=>[6,1,7,3,2,5,4]=>[[1,3,6],[2,4],[5,7]]=>7 [2,4,5,3,6,1,7]=>[4,5,2,3,6,1,7]=>[7,1,6,3,2,5,4]=>[[1,3,6],[2,7],[4],[5]]=>7 [2,4,5,3,6,7,1]=>[4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4]=>[[1,2,6],[3,7],[4],[5]]=>8 [2,4,5,3,7,1,6]=>[4,5,7,2,3,1,6]=>[6,1,3,2,7,5,4]=>[[1,3,5],[2,6],[4,7]]=>8 [2,4,5,3,7,6,1]=>[4,5,7,2,3,6,1]=>[1,6,3,2,7,5,4]=>[[1,2,5],[3,6],[4,7]]=>9 [2,4,5,6,1,3,7]=>[4,5,6,2,1,3,7]=>[7,3,1,2,6,5,4]=>[[1,4,5],[2,6],[3],[7]]=>7 [2,4,5,6,1,7,3]=>[4,5,6,2,7,1,3]=>[3,1,7,2,6,5,4]=>[[1,3,5],[2,4],[6],[7]]=>8 [2,4,5,6,3,1,7]=>[4,5,6,2,3,1,7]=>[7,1,3,2,6,5,4]=>[[1,3,5],[2,6],[4],[7]]=>8 [2,4,5,6,3,7,1]=>[4,5,6,2,3,7,1]=>[1,7,3,2,6,5,4]=>[[1,2,5],[3,6],[4],[7]]=>9 [2,4,5,6,7,1,3]=>[4,5,6,7,2,1,3]=>[3,1,2,7,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>9 [2,4,5,6,7,3,1]=>[4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>10 [2,4,5,7,1,3,6]=>[7,4,5,2,1,3,6]=>[6,3,1,2,5,4,7]=>[[1,4,5,7],[2,6],[3]]=>8 [2,4,5,7,1,6,3]=>[7,4,5,2,6,1,3]=>[3,1,6,2,5,4,7]=>[[1,3,5,7],[2,4],[6]]=>9 [2,4,5,7,3,1,6]=>[7,4,5,2,3,1,6]=>[6,1,3,2,5,4,7]=>[[1,3,5,7],[2,6],[4]]=>9 [2,4,5,7,3,6,1]=>[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[[1,2,5,7],[3,6],[4]]=>10 [2,4,5,7,6,1,3]=>[7,4,5,6,2,1,3]=>[3,1,2,6,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>10 [2,4,5,7,6,3,1]=>[7,4,5,6,2,3,1]=>[1,3,2,6,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>11 [2,4,6,1,3,5,7]=>[6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6]=>[[1,5,6,7],[2],[3],[4]]=>6 [2,4,6,1,3,7,5]=>[6,4,2,7,1,3,5]=>[5,3,1,7,2,4,6]=>[[1,4,6,7],[2,5],[3]]=>7 [2,4,6,1,5,3,7]=>[6,4,2,5,1,3,7]=>[7,3,1,5,2,4,6]=>[[1,4,6,7],[2,5],[3]]=>7 [2,4,6,1,5,7,3]=>[6,4,2,5,7,1,3]=>[3,1,7,5,2,4,6]=>[[1,3,6,7],[2,4],[5]]=>8 [2,4,6,1,7,3,5]=>[6,4,7,2,1,3,5]=>[5,3,1,2,7,4,6]=>[[1,4,5,7],[2,6],[3]]=>8 [2,4,6,1,7,5,3]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[1,3,5,7],[2,4,6]]=>9 [2,4,6,3,1,5,7]=>[6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6]=>[[1,4,6,7],[2],[3],[5]]=>7 [2,4,6,3,1,7,5]=>[6,4,2,3,7,1,5]=>[5,1,7,3,2,4,6]=>[[1,3,6,7],[2,4],[5]]=>8 [2,4,6,3,5,1,7]=>[6,4,2,3,5,1,7]=>[7,1,5,3,2,4,6]=>[[1,3,6,7],[2],[4],[5]]=>8 [2,4,6,3,5,7,1]=>[6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6]=>[[1,2,6,7],[3],[4],[5]]=>9 [2,4,6,3,7,1,5]=>[6,4,7,2,3,1,5]=>[5,1,3,2,7,4,6]=>[[1,3,5,7],[2,6],[4]]=>9 [2,4,6,3,7,5,1]=>[6,4,7,2,3,5,1]=>[1,5,3,2,7,4,6]=>[[1,2,5,7],[3,6],[4]]=>10 [2,4,6,5,1,3,7]=>[6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6]=>[[1,4,5,7],[2,6],[3]]=>8 [2,4,6,5,1,7,3]=>[6,4,5,2,7,1,3]=>[3,1,7,2,5,4,6]=>[[1,3,5,7],[2,4],[6]]=>9 [2,4,6,5,3,1,7]=>[6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]=>[[1,3,5,7],[2,6],[4]]=>9 [2,4,6,5,3,7,1]=>[6,4,5,2,3,7,1]=>[1,7,3,2,5,4,6]=>[[1,2,5,7],[3,6],[4]]=>10 [2,4,6,5,7,1,3]=>[6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6]=>[[1,3,4,7],[2,5],[6]]=>10 [2,4,6,5,7,3,1]=>[6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6]=>[[1,2,4,7],[3,5],[6]]=>11 [2,4,6,7,1,3,5]=>[6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6]=>[[1,4,5,6],[2,7],[3]]=>9 [2,4,6,7,1,5,3]=>[6,7,4,2,5,1,3]=>[3,1,5,2,4,7,6]=>[[1,3,5,6],[2,4,7]]=>10 [2,4,6,7,3,1,5]=>[6,7,4,2,3,1,5]=>[5,1,3,2,4,7,6]=>[[1,3,5,6],[2,7],[4]]=>10 [2,4,6,7,3,5,1]=>[6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6]=>[[1,2,5,6],[3,7],[4]]=>11 [2,4,6,7,5,1,3]=>[6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6]=>[[1,3,4,6],[2,5,7]]=>11 [2,4,6,7,5,3,1]=>[6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6]=>[[1,2,4,6],[3,5,7]]=>12 [2,4,7,1,3,5,6]=>[7,2,1,4,3,5,6]=>[6,5,3,4,1,2,7]=>[[1,4,7],[2,6],[3],[5]]=>7 [2,4,7,1,3,6,5]=>[4,2,7,6,1,3,5]=>[5,3,1,6,7,2,4]=>[[1,4,5],[2,6,7],[3]]=>8 [2,4,7,1,5,3,6]=>[4,2,7,5,1,3,6]=>[6,3,1,5,7,2,4]=>[[1,4,5],[2,6,7],[3]]=>8 [2,4,7,1,5,6,3]=>[4,2,7,5,6,1,3]=>[3,1,6,5,7,2,4]=>[[1,3,5],[2,4,7],[6]]=>9 [2,4,7,1,6,3,5]=>[4,7,6,2,1,3,5]=>[5,3,1,2,6,7,4]=>[[1,4,5,6],[2,7],[3]]=>9 [2,4,7,1,6,5,3]=>[4,7,6,2,5,1,3]=>[3,1,5,2,6,7,4]=>[[1,3,5,6],[2,4,7]]=>10 [2,4,7,3,1,5,6]=>[7,2,4,3,1,5,6]=>[6,5,1,3,4,2,7]=>[[1,4,5,7],[2],[3],[6]]=>8 [2,4,7,3,1,6,5]=>[7,2,4,3,6,1,5]=>[5,1,6,3,4,2,7]=>[[1,3,5,7],[2,4],[6]]=>9 [2,4,7,3,5,1,6]=>[7,2,4,3,5,1,6]=>[6,1,5,3,4,2,7]=>[[1,3,5,7],[2],[4],[6]]=>9 [2,4,7,3,5,6,1]=>[7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]=>[[1,2,5,7],[3],[4],[6]]=>10 [2,4,7,3,6,1,5]=>[4,7,6,2,3,1,5]=>[5,1,3,2,6,7,4]=>[[1,3,5,6],[2,7],[4]]=>10 [2,4,7,3,6,5,1]=>[4,7,6,2,3,5,1]=>[1,5,3,2,6,7,4]=>[[1,2,5,6],[3,7],[4]]=>11 [2,4,7,5,1,3,6]=>[4,7,5,2,1,3,6]=>[6,3,1,2,5,7,4]=>[[1,4,5,6],[2,7],[3]]=>9 [2,4,7,5,1,6,3]=>[4,7,5,2,6,1,3]=>[3,1,6,2,5,7,4]=>[[1,3,5,6],[2,4],[7]]=>10 [2,4,7,5,3,1,6]=>[4,7,5,2,3,1,6]=>[6,1,3,2,5,7,4]=>[[1,3,5,6],[2,7],[4]]=>10 [2,4,7,5,3,6,1]=>[4,7,5,2,3,6,1]=>[1,6,3,2,5,7,4]=>[[1,2,5,6],[3,7],[4]]=>11 [2,4,7,5,6,1,3]=>[4,7,5,6,2,1,3]=>[3,1,2,6,5,7,4]=>[[1,3,4,6],[2,5],[7]]=>11 [2,4,7,5,6,3,1]=>[4,7,5,6,2,3,1]=>[1,3,2,6,5,7,4]=>[[1,2,4,6],[3,5],[7]]=>12 [2,4,7,6,1,3,5]=>[7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7]=>[[1,4,5,6,7],[2],[3]]=>10 [2,4,7,6,1,5,3]=>[7,6,4,2,5,1,3]=>[3,1,5,2,4,6,7]=>[[1,3,5,6,7],[2,4]]=>11 [2,4,7,6,3,1,5]=>[7,6,4,2,3,1,5]=>[5,1,3,2,4,6,7]=>[[1,3,5,6,7],[2],[4]]=>11 [2,4,7,6,3,5,1]=>[7,6,4,2,3,5,1]=>[1,5,3,2,4,6,7]=>[[1,2,5,6,7],[3],[4]]=>12 [2,4,7,6,5,1,3]=>[7,6,4,5,2,1,3]=>[3,1,2,5,4,6,7]=>[[1,3,4,6,7],[2,5]]=>12 [2,4,7,6,5,3,1]=>[7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7]=>[[1,2,4,6,7],[3,5]]=>13 [2,5,1,3,4,6,7]=>[2,1,5,3,4,6,7]=>[7,6,4,3,5,1,2]=>[[1,5],[2,7],[3],[4],[6]]=>4 [2,5,1,3,4,7,6]=>[2,1,5,7,3,4,6]=>[6,4,3,7,5,1,2]=>[[1,4],[2,5],[3,7],[6]]=>5 [2,5,1,3,6,4,7]=>[2,1,5,6,3,4,7]=>[7,4,3,6,5,1,2]=>[[1,4],[2,5],[3,7],[6]]=>5 [2,5,1,3,6,7,4]=>[2,1,5,6,7,3,4]=>[4,3,7,6,5,1,2]=>[[1,3],[2,4],[5,7],[6]]=>6 [2,5,1,3,7,4,6]=>[2,5,1,7,3,4,6]=>[6,4,3,7,1,5,2]=>[[1,4],[2,6],[3,7],[5]]=>6 [2,5,1,3,7,6,4]=>[2,7,1,5,6,3,4]=>[4,3,6,5,1,7,2]=>[[1,3,6],[2,4],[5,7]]=>7 [2,5,1,4,3,6,7]=>[2,5,4,1,3,6,7]=>[7,6,3,1,4,5,2]=>[[1,5,6],[2,7],[3],[4]]=>5 [2,5,1,4,3,7,6]=>[2,5,4,7,1,3,6]=>[6,3,1,7,4,5,2]=>[[1,4,6],[2,5],[3,7]]=>6 [2,5,1,4,6,3,7]=>[2,5,4,6,1,3,7]=>[7,3,1,6,4,5,2]=>[[1,4,6],[2,5],[3],[7]]=>6 [2,5,1,4,6,7,3]=>[2,5,4,6,7,1,3]=>[3,1,7,6,4,5,2]=>[[1,3,6],[2,4],[5],[7]]=>7 [2,5,1,4,7,3,6]=>[2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>[[1,4,5],[2,6],[3,7]]=>7 [2,5,1,4,7,6,3]=>[2,5,7,4,6,1,3]=>[3,1,6,4,7,5,2]=>[[1,3,5],[2,4,6],[7]]=>8 [2,5,1,6,3,4,7]=>[2,5,1,6,3,4,7]=>[7,4,3,6,1,5,2]=>[[1,4],[2,6],[3,7],[5]]=>6 [2,5,1,6,3,7,4]=>[2,5,1,6,7,3,4]=>[4,3,7,6,1,5,2]=>[[1,3],[2,4],[5,6],[7]]=>7 [2,5,1,6,4,3,7]=>[2,5,6,4,1,3,7]=>[7,3,1,4,6,5,2]=>[[1,4,5],[2,6],[3],[7]]=>7 [2,5,1,6,4,7,3]=>[2,5,6,4,7,1,3]=>[3,1,7,4,6,5,2]=>[[1,3,5],[2,4],[6],[7]]=>8 [2,5,1,6,7,3,4]=>[2,5,6,1,7,3,4]=>[4,3,7,1,6,5,2]=>[[1,3],[2,5],[4,6],[7]]=>8 [2,5,1,6,7,4,3]=>[2,5,6,7,4,1,3]=>[3,1,4,7,6,5,2]=>[[1,3,4],[2,5],[6],[7]]=>9 [2,5,1,7,3,4,6]=>[5,2,1,7,3,4,6]=>[6,4,3,7,1,2,5]=>[[1,4,7],[2,6],[3],[5]]=>7 [2,5,1,7,3,6,4]=>[2,5,7,1,6,3,4]=>[4,3,6,1,7,5,2]=>[[1,3,5],[2,6],[4,7]]=>8 [2,5,1,7,4,3,6]=>[5,2,7,4,1,3,6]=>[6,3,1,4,7,2,5]=>[[1,4,5],[2,6,7],[3]]=>8 [2,5,1,7,4,6,3]=>[5,2,7,4,6,1,3]=>[3,1,6,4,7,2,5]=>[[1,3,5],[2,4,7],[6]]=>9 [2,5,1,7,6,3,4]=>[7,2,5,1,6,3,4]=>[4,3,6,1,5,2,7]=>[[1,3,7],[2,5],[4,6]]=>9 [2,5,1,7,6,4,3]=>[7,2,5,6,4,1,3]=>[3,1,4,6,5,2,7]=>[[1,3,4,7],[2,5],[6]]=>10 [2,5,3,1,4,6,7]=>[2,5,3,1,4,6,7]=>[7,6,4,1,3,5,2]=>[[1,5,6],[2],[3],[4],[7]]=>5 [2,5,3,1,4,7,6]=>[2,5,3,7,1,4,6]=>[6,4,1,7,3,5,2]=>[[1,4,6],[2,5],[3],[7]]=>6 [2,5,3,1,6,4,7]=>[2,5,3,6,1,4,7]=>[7,4,1,6,3,5,2]=>[[1,4,6],[2,5],[3],[7]]=>6 [2,5,3,1,6,7,4]=>[2,5,3,6,7,1,4]=>[4,1,7,6,3,5,2]=>[[1,3,6],[2,4],[5],[7]]=>7 [2,5,3,1,7,4,6]=>[2,5,7,3,1,4,6]=>[6,4,1,3,7,5,2]=>[[1,4,5],[2,6],[3],[7]]=>7 [2,5,3,1,7,6,4]=>[2,5,7,3,6,1,4]=>[4,1,6,3,7,5,2]=>[[1,3,5],[2,4,6],[7]]=>8 [2,5,3,4,1,6,7]=>[2,5,3,4,1,6,7]=>[7,6,1,4,3,5,2]=>[[1,4,6],[2],[3],[5],[7]]=>6 [2,5,3,4,1,7,6]=>[2,5,3,4,7,1,6]=>[6,1,7,4,3,5,2]=>[[1,3,6],[2,4],[5],[7]]=>7 [2,5,3,4,6,1,7]=>[2,5,3,4,6,1,7]=>[7,1,6,4,3,5,2]=>[[1,3,6],[2],[4],[5],[7]]=>7 [2,5,3,4,6,7,1]=>[2,5,3,4,6,7,1]=>[1,7,6,4,3,5,2]=>[[1,2,6],[3],[4],[5],[7]]=>8 [2,5,3,4,7,1,6]=>[2,5,7,3,4,1,6]=>[6,1,4,3,7,5,2]=>[[1,3,5],[2,6],[4],[7]]=>8 [2,5,3,4,7,6,1]=>[2,5,7,3,4,6,1]=>[1,6,4,3,7,5,2]=>[[1,2,5],[3,6],[4],[7]]=>9 [2,5,3,6,1,4,7]=>[2,5,6,3,1,4,7]=>[7,4,1,3,6,5,2]=>[[1,4,5],[2,6],[3],[7]]=>7 [2,5,3,6,1,7,4]=>[2,5,6,3,7,1,4]=>[4,1,7,3,6,5,2]=>[[1,3,5],[2,4],[6],[7]]=>8 [2,5,3,6,4,1,7]=>[2,5,6,3,4,1,7]=>[7,1,4,3,6,5,2]=>[[1,3,5],[2,6],[4],[7]]=>8 [2,5,3,6,4,7,1]=>[2,5,6,3,4,7,1]=>[1,7,4,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>9 [2,5,3,6,7,1,4]=>[2,5,6,7,3,1,4]=>[4,1,3,7,6,5,2]=>[[1,3,4],[2,5],[6],[7]]=>9 [2,5,3,6,7,4,1]=>[2,5,6,7,3,4,1]=>[1,4,3,7,6,5,2]=>[[1,2,4],[3,5],[6],[7]]=>10 [2,5,3,7,1,4,6]=>[5,2,7,3,1,4,6]=>[6,4,1,3,7,2,5]=>[[1,4,5],[2,7],[3],[6]]=>8 [2,5,3,7,1,6,4]=>[5,2,7,3,6,1,4]=>[4,1,6,3,7,2,5]=>[[1,3,5],[2,4,7],[6]]=>9 [2,5,3,7,4,1,6]=>[5,2,7,3,4,1,6]=>[6,1,4,3,7,2,5]=>[[1,3,5],[2,7],[4],[6]]=>9 [2,5,3,7,4,6,1]=>[5,2,7,3,4,6,1]=>[1,6,4,3,7,2,5]=>[[1,2,5],[3,7],[4],[6]]=>10 [2,5,3,7,6,1,4]=>[7,2,5,6,3,1,4]=>[4,1,3,6,5,2,7]=>[[1,3,4,7],[2,5],[6]]=>10 [2,5,3,7,6,4,1]=>[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[[1,2,4,7],[3,5],[6]]=>11 [2,5,4,1,3,6,7]=>[5,4,2,1,3,6,7]=>[7,6,3,1,2,4,5]=>[[1,5,6,7],[2],[3],[4]]=>6 [2,5,4,1,3,7,6]=>[5,4,2,7,1,3,6]=>[6,3,1,7,2,4,5]=>[[1,4,6,7],[2,5],[3]]=>7 [2,5,4,1,6,3,7]=>[5,4,2,6,1,3,7]=>[7,3,1,6,2,4,5]=>[[1,4,6,7],[2,5],[3]]=>7 [2,5,4,1,6,7,3]=>[5,4,2,6,7,1,3]=>[3,1,7,6,2,4,5]=>[[1,3,6,7],[2,4],[5]]=>8 [2,5,4,1,7,3,6]=>[5,4,7,2,1,3,6]=>[6,3,1,2,7,4,5]=>[[1,4,5,7],[2,6],[3]]=>8 [2,5,4,1,7,6,3]=>[5,4,7,2,6,1,3]=>[3,1,6,2,7,4,5]=>[[1,3,5,7],[2,4,6]]=>9 [2,5,4,3,1,6,7]=>[5,4,2,3,1,6,7]=>[7,6,1,3,2,4,5]=>[[1,4,6,7],[2],[3],[5]]=>7 [2,5,4,3,1,7,6]=>[5,4,2,3,7,1,6]=>[6,1,7,3,2,4,5]=>[[1,3,6,7],[2,4],[5]]=>8 [2,5,4,3,6,1,7]=>[5,4,2,3,6,1,7]=>[7,1,6,3,2,4,5]=>[[1,3,6,7],[2],[4],[5]]=>8 [2,5,4,3,6,7,1]=>[5,4,2,3,6,7,1]=>[1,7,6,3,2,4,5]=>[[1,2,6,7],[3],[4],[5]]=>9 [2,5,4,3,7,1,6]=>[5,4,7,2,3,1,6]=>[6,1,3,2,7,4,5]=>[[1,3,5,7],[2,6],[4]]=>9 [2,5,4,3,7,6,1]=>[5,4,7,2,3,6,1]=>[1,6,3,2,7,4,5]=>[[1,2,5,7],[3,6],[4]]=>10 [2,5,4,6,1,3,7]=>[5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5]=>[[1,4,5,7],[2,6],[3]]=>8 [2,5,4,6,1,7,3]=>[5,4,6,2,7,1,3]=>[3,1,7,2,6,4,5]=>[[1,3,5,7],[2,4],[6]]=>9 [2,5,4,6,3,1,7]=>[5,4,6,2,3,1,7]=>[7,1,3,2,6,4,5]=>[[1,3,5,7],[2,6],[4]]=>9 [2,5,4,6,3,7,1]=>[5,4,6,2,3,7,1]=>[1,7,3,2,6,4,5]=>[[1,2,5,7],[3,6],[4]]=>10 [2,5,4,6,7,1,3]=>[5,4,6,7,2,1,3]=>[3,1,2,7,6,4,5]=>[[1,3,4,7],[2,5],[6]]=>10 [2,5,4,6,7,3,1]=>[5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5]=>[[1,2,4,7],[3,5],[6]]=>11 [2,5,4,7,1,3,6]=>[5,7,4,2,1,3,6]=>[6,3,1,2,4,7,5]=>[[1,4,5,6],[2,7],[3]]=>9 [2,5,4,7,1,6,3]=>[5,7,4,2,6,1,3]=>[3,1,6,2,4,7,5]=>[[1,3,5,6],[2,4,7]]=>10 [2,5,4,7,3,1,6]=>[5,7,4,2,3,1,6]=>[6,1,3,2,4,7,5]=>[[1,3,5,6],[2,7],[4]]=>10 [2,5,4,7,3,6,1]=>[5,7,4,2,3,6,1]=>[1,6,3,2,4,7,5]=>[[1,2,5,6],[3,7],[4]]=>11 [2,5,4,7,6,1,3]=>[5,7,4,6,2,1,3]=>[3,1,2,6,4,7,5]=>[[1,3,4,6],[2,5,7]]=>11 [2,5,4,7,6,3,1]=>[5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5]=>[[1,2,4,6],[3,5,7]]=>12 [2,5,6,1,3,4,7]=>[5,2,1,6,3,4,7]=>[7,4,3,6,1,2,5]=>[[1,4,7],[2,6],[3],[5]]=>7 [2,5,6,1,3,7,4]=>[5,2,1,6,7,3,4]=>[4,3,7,6,1,2,5]=>[[1,3,7],[2,4],[5,6]]=>8 [2,5,6,1,4,3,7]=>[5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5]=>[[1,4,5],[2,6,7],[3]]=>8 [2,5,6,1,4,7,3]=>[5,2,6,4,7,1,3]=>[3,1,7,4,6,2,5]=>[[1,3,5],[2,4,7],[6]]=>9 [2,5,6,1,7,3,4]=>[5,2,6,1,7,3,4]=>[4,3,7,1,6,2,5]=>[[1,3,7],[2,5],[4,6]]=>9 [2,5,6,1,7,4,3]=>[5,2,6,7,4,1,3]=>[3,1,4,7,6,2,5]=>[[1,3,4],[2,5,7],[6]]=>10 [2,5,6,3,1,4,7]=>[5,2,6,3,1,4,7]=>[7,4,1,3,6,2,5]=>[[1,4,5],[2,7],[3],[6]]=>8 [2,5,6,3,1,7,4]=>[5,2,6,3,7,1,4]=>[4,1,7,3,6,2,5]=>[[1,3,5],[2,4],[6,7]]=>9 [2,5,6,3,4,1,7]=>[5,2,6,3,4,1,7]=>[7,1,4,3,6,2,5]=>[[1,3,5],[2,7],[4],[6]]=>9 [2,5,6,3,4,7,1]=>[5,2,6,3,4,7,1]=>[1,7,4,3,6,2,5]=>[[1,2,5],[3,7],[4],[6]]=>10 [2,5,6,3,7,1,4]=>[5,2,6,7,3,1,4]=>[4,1,3,7,6,2,5]=>[[1,3,4],[2,5],[6,7]]=>10 [2,5,6,3,7,4,1]=>[5,2,6,7,3,4,1]=>[1,4,3,7,6,2,5]=>[[1,2,4],[3,5],[6,7]]=>11 [2,5,6,4,1,3,7]=>[5,6,4,2,1,3,7]=>[7,3,1,2,4,6,5]=>[[1,4,5,6],[2,7],[3]]=>9 [2,5,6,4,1,7,3]=>[5,6,4,2,7,1,3]=>[3,1,7,2,4,6,5]=>[[1,3,5,6],[2,4],[7]]=>10 [2,5,6,4,3,1,7]=>[5,6,4,2,3,1,7]=>[7,1,3,2,4,6,5]=>[[1,3,5,6],[2,7],[4]]=>10 [2,5,6,4,3,7,1]=>[5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5]=>[[1,2,5,6],[3,7],[4]]=>11 [2,5,6,4,7,1,3]=>[5,6,4,7,2,1,3]=>[3,1,2,7,4,6,5]=>[[1,3,4,6],[2,5],[7]]=>11 [2,5,6,4,7,3,1]=>[5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5]=>[[1,2,4,6],[3,5],[7]]=>12 [2,5,6,7,1,3,4]=>[5,6,2,1,7,3,4]=>[4,3,7,1,2,6,5]=>[[1,3,6],[2,5],[4,7]]=>10 [2,5,6,7,1,4,3]=>[5,6,2,7,4,1,3]=>[3,1,4,7,2,6,5]=>[[1,3,4],[2,5,6],[7]]=>11 [2,5,6,7,3,1,4]=>[5,6,2,7,3,1,4]=>[4,1,3,7,2,6,5]=>[[1,3,4],[2,6],[5,7]]=>11 [2,5,6,7,3,4,1]=>[5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5]=>[[1,2,4],[3,6],[5,7]]=>12 [2,5,6,7,4,1,3]=>[5,6,7,4,2,1,3]=>[3,1,2,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>12 [2,5,6,7,4,3,1]=>[5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>13 [2,5,7,1,3,4,6]=>[2,1,7,5,3,4,6]=>[6,4,3,5,7,1,2]=>[[1,4,5],[2,7],[3],[6]]=>8 [2,5,7,1,3,6,4]=>[5,2,7,1,6,3,4]=>[4,3,6,1,7,2,5]=>[[1,3,5],[2,6,7],[4]]=>9 [2,5,7,1,4,3,6]=>[2,7,5,4,1,3,6]=>[6,3,1,4,5,7,2]=>[[1,4,5,6],[2,7],[3]]=>9 [2,5,7,1,4,6,3]=>[2,7,5,4,6,1,3]=>[3,1,6,4,5,7,2]=>[[1,3,5,6],[2,4],[7]]=>10 [2,5,7,1,6,3,4]=>[5,7,2,1,6,3,4]=>[4,3,6,1,2,7,5]=>[[1,3,6],[2,5,7],[4]]=>10 [2,5,7,1,6,4,3]=>[5,7,2,6,4,1,3]=>[3,1,4,6,2,7,5]=>[[1,3,4,6],[2,5,7]]=>11 [2,5,7,3,1,4,6]=>[2,7,5,3,1,4,6]=>[6,4,1,3,5,7,2]=>[[1,4,5,6],[2],[3],[7]]=>9 [2,5,7,3,1,6,4]=>[2,7,5,3,6,1,4]=>[4,1,6,3,5,7,2]=>[[1,3,5,6],[2,4],[7]]=>10 [2,5,7,3,4,1,6]=>[2,7,5,3,4,1,6]=>[6,1,4,3,5,7,2]=>[[1,3,5,6],[2],[4],[7]]=>10 [2,5,7,3,4,6,1]=>[2,7,5,3,4,6,1]=>[1,6,4,3,5,7,2]=>[[1,2,5,6],[3],[4],[7]]=>11 [2,5,7,3,6,1,4]=>[5,7,2,6,3,1,4]=>[4,1,3,6,2,7,5]=>[[1,3,4,6],[2,7],[5]]=>11 [2,5,7,3,6,4,1]=>[5,7,2,6,3,4,1]=>[1,4,3,6,2,7,5]=>[[1,2,4,6],[3,7],[5]]=>12 [2,5,7,4,1,3,6]=>[7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7]=>[[1,4,5,6,7],[2],[3]]=>10 [2,5,7,4,1,6,3]=>[7,5,4,2,6,1,3]=>[3,1,6,2,4,5,7]=>[[1,3,5,6,7],[2,4]]=>11 [2,5,7,4,3,1,6]=>[7,5,4,2,3,1,6]=>[6,1,3,2,4,5,7]=>[[1,3,5,6,7],[2],[4]]=>11 [2,5,7,4,3,6,1]=>[7,5,4,2,3,6,1]=>[1,6,3,2,4,5,7]=>[[1,2,5,6,7],[3],[4]]=>12 [2,5,7,4,6,1,3]=>[7,5,4,6,2,1,3]=>[3,1,2,6,4,5,7]=>[[1,3,4,6,7],[2,5]]=>12 [2,5,7,4,6,3,1]=>[7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7]=>[[1,2,4,6,7],[3,5]]=>13 [2,5,7,6,1,3,4]=>[7,5,2,1,6,3,4]=>[4,3,6,1,2,5,7]=>[[1,3,6,7],[2,5],[4]]=>11 [2,5,7,6,1,4,3]=>[7,5,2,6,4,1,3]=>[3,1,4,6,2,5,7]=>[[1,3,4,7],[2,5,6]]=>12 [2,5,7,6,3,1,4]=>[7,5,2,6,3,1,4]=>[4,1,3,6,2,5,7]=>[[1,3,4,7],[2,6],[5]]=>12 [2,5,7,6,3,4,1]=>[7,5,2,6,3,4,1]=>[1,4,3,6,2,5,7]=>[[1,2,4,7],[3,6],[5]]=>13 [2,5,7,6,4,1,3]=>[7,5,6,4,2,1,3]=>[3,1,2,4,6,5,7]=>[[1,3,4,5,7],[2,6]]=>13 [2,5,7,6,4,3,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[[1,2,4,5,7],[3,6]]=>14 [2,6,1,3,4,5,7]=>[2,1,3,6,4,5,7]=>[7,5,4,6,3,1,2]=>[[1,4],[2,7],[3],[5],[6]]=>5 [2,6,1,3,4,7,5]=>[2,1,3,6,7,4,5]=>[5,4,7,6,3,1,2]=>[[1,3],[2,4],[5,7],[6]]=>6 [2,6,1,3,5,4,7]=>[2,6,1,5,3,4,7]=>[7,4,3,5,1,6,2]=>[[1,4,6],[2,7],[3],[5]]=>6 [2,6,1,3,5,7,4]=>[2,6,1,5,7,3,4]=>[4,3,7,5,1,6,2]=>[[1,3,6],[2,4],[5,7]]=>7 [2,6,1,3,7,4,5]=>[2,6,1,3,7,4,5]=>[5,4,7,3,1,6,2]=>[[1,3],[2,6],[4,7],[5]]=>7 [2,6,1,3,7,5,4]=>[2,6,7,1,5,3,4]=>[4,3,5,1,7,6,2]=>[[1,3,5],[2,6],[4,7]]=>8 [2,6,1,4,3,5,7]=>[2,6,1,4,3,5,7]=>[7,5,3,4,1,6,2]=>[[1,4,6],[2,7],[3],[5]]=>6 [2,6,1,4,3,7,5]=>[2,6,1,4,7,3,5]=>[5,3,7,4,1,6,2]=>[[1,3,6],[2,4],[5,7]]=>7 [2,6,1,4,5,3,7]=>[2,4,6,5,1,3,7]=>[7,3,1,5,6,4,2]=>[[1,4,5],[2,6],[3],[7]]=>7 [2,6,1,4,5,7,3]=>[2,4,6,5,7,1,3]=>[3,1,7,5,6,4,2]=>[[1,3,5],[2,4],[6],[7]]=>8 [2,6,1,4,7,3,5]=>[2,6,7,1,4,3,5]=>[5,3,4,1,7,6,2]=>[[1,3,5],[2,6],[4,7]]=>8 [2,6,1,4,7,5,3]=>[2,4,6,7,5,1,3]=>[3,1,5,7,6,4,2]=>[[1,3,4],[2,5],[6],[7]]=>9 [2,6,1,5,3,4,7]=>[6,2,1,5,3,4,7]=>[7,4,3,5,1,2,6]=>[[1,4,7],[2,6],[3],[5]]=>7 [2,6,1,5,3,7,4]=>[6,2,1,5,7,3,4]=>[4,3,7,5,1,2,6]=>[[1,3,7],[2,4],[5,6]]=>8 [2,6,1,5,4,3,7]=>[6,2,5,4,1,3,7]=>[7,3,1,4,5,2,6]=>[[1,4,5,7],[2,6],[3]]=>8 [2,6,1,5,4,7,3]=>[6,2,5,4,7,1,3]=>[3,1,7,4,5,2,6]=>[[1,3,5,7],[2,4],[6]]=>9 [2,6,1,5,7,3,4]=>[6,2,5,1,7,3,4]=>[4,3,7,1,5,2,6]=>[[1,3,7],[2,5],[4,6]]=>9 [2,6,1,5,7,4,3]=>[6,2,5,7,4,1,3]=>[3,1,4,7,5,2,6]=>[[1,3,4,7],[2,5],[6]]=>10 [2,6,1,7,3,4,5]=>[6,2,1,3,7,4,5]=>[5,4,7,3,1,2,6]=>[[1,3,7],[2,6],[4],[5]]=>8 [2,6,1,7,3,5,4]=>[6,2,7,1,5,3,4]=>[4,3,5,1,7,2,6]=>[[1,3,5],[2,6,7],[4]]=>9 [2,6,1,7,4,3,5]=>[6,2,7,1,4,3,5]=>[5,3,4,1,7,2,6]=>[[1,3,5],[2,6,7],[4]]=>9 [2,6,1,7,4,5,3]=>[6,2,4,7,5,1,3]=>[3,1,5,7,4,2,6]=>[[1,3,4],[2,5,7],[6]]=>10 [2,6,1,7,5,3,4]=>[6,7,2,1,5,3,4]=>[4,3,5,1,2,7,6]=>[[1,3,6],[2,5,7],[4]]=>10 [2,6,1,7,5,4,3]=>[6,7,2,5,4,1,3]=>[3,1,4,5,2,7,6]=>[[1,3,4,6],[2,5,7]]=>11 [2,6,3,1,4,5,7]=>[2,3,1,6,4,5,7]=>[7,5,4,6,1,3,2]=>[[1,4],[2,6],[3],[5],[7]]=>6 [2,6,3,1,4,7,5]=>[2,3,1,6,7,4,5]=>[5,4,7,6,1,3,2]=>[[1,3],[2,4],[5,6],[7]]=>7 [2,6,3,1,5,4,7]=>[2,3,6,5,1,4,7]=>[7,4,1,5,6,3,2]=>[[1,4,5],[2,6],[3],[7]]=>7 [2,6,3,1,5,7,4]=>[2,3,6,5,7,1,4]=>[4,1,7,5,6,3,2]=>[[1,3,5],[2,4],[6],[7]]=>8 [2,6,3,1,7,4,5]=>[2,3,6,1,7,4,5]=>[5,4,7,1,6,3,2]=>[[1,3],[2,5],[4,6],[7]]=>8 [2,6,3,1,7,5,4]=>[2,3,6,7,5,1,4]=>[4,1,5,7,6,3,2]=>[[1,3,4],[2,5],[6],[7]]=>9 [2,6,3,4,1,5,7]=>[2,3,6,4,1,5,7]=>[7,5,1,4,6,3,2]=>[[1,4,5],[2],[3],[6],[7]]=>7 [2,6,3,4,1,7,5]=>[2,3,6,4,7,1,5]=>[5,1,7,4,6,3,2]=>[[1,3,5],[2,4],[6],[7]]=>8 [2,6,3,4,5,1,7]=>[2,3,6,4,5,1,7]=>[7,1,5,4,6,3,2]=>[[1,3,5],[2],[4],[6],[7]]=>8 [2,6,3,4,5,7,1]=>[2,3,6,4,5,7,1]=>[1,7,5,4,6,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>9 [2,6,3,4,7,1,5]=>[2,3,6,7,4,1,5]=>[5,1,4,7,6,3,2]=>[[1,3,4],[2,5],[6],[7]]=>9 [2,6,3,4,7,5,1]=>[2,3,6,7,4,5,1]=>[1,5,4,7,6,3,2]=>[[1,2,4],[3,5],[6],[7]]=>10 [2,6,3,5,1,4,7]=>[6,2,5,3,1,4,7]=>[7,4,1,3,5,2,6]=>[[1,4,5,7],[2],[3],[6]]=>8 [2,6,3,5,1,7,4]=>[6,2,5,3,7,1,4]=>[4,1,7,3,5,2,6]=>[[1,3,5,7],[2,4],[6]]=>9 [2,6,3,5,4,1,7]=>[6,2,5,3,4,1,7]=>[7,1,4,3,5,2,6]=>[[1,3,5,7],[2],[4],[6]]=>9 [2,6,3,5,4,7,1]=>[6,2,5,3,4,7,1]=>[1,7,4,3,5,2,6]=>[[1,2,5,7],[3],[4],[6]]=>10 [2,6,3,5,7,1,4]=>[6,2,5,7,3,1,4]=>[4,1,3,7,5,2,6]=>[[1,3,4,7],[2,5],[6]]=>10 [2,6,3,5,7,4,1]=>[6,2,5,7,3,4,1]=>[1,4,3,7,5,2,6]=>[[1,2,4,7],[3,5],[6]]=>11 [2,6,3,7,1,4,5]=>[6,2,3,1,7,4,5]=>[5,4,7,1,3,2,6]=>[[1,3,7],[2,5],[4],[6]]=>9 [2,6,3,7,1,5,4]=>[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[[1,3,4],[2,5,7],[6]]=>10 [2,6,3,7,4,1,5]=>[6,2,3,7,4,1,5]=>[5,1,4,7,3,2,6]=>[[1,3,4],[2,7],[5],[6]]=>10 [2,6,3,7,4,5,1]=>[6,2,3,7,4,5,1]=>[1,5,4,7,3,2,6]=>[[1,2,4],[3,7],[5],[6]]=>11 [2,6,3,7,5,1,4]=>[6,7,2,5,3,1,4]=>[4,1,3,5,2,7,6]=>[[1,3,4,6],[2,7],[5]]=>11 [2,6,3,7,5,4,1]=>[6,7,2,5,3,4,1]=>[1,4,3,5,2,7,6]=>[[1,2,4,6],[3,7],[5]]=>12 [2,6,4,1,3,5,7]=>[6,2,1,4,3,5,7]=>[7,5,3,4,1,2,6]=>[[1,4,7],[2,6],[3],[5]]=>7 [2,6,4,1,3,7,5]=>[6,2,1,4,7,3,5]=>[5,3,7,4,1,2,6]=>[[1,3,7],[2,4],[5,6]]=>8 [2,6,4,1,5,3,7]=>[4,2,6,5,1,3,7]=>[7,3,1,5,6,2,4]=>[[1,4,5],[2,6,7],[3]]=>8 [2,6,4,1,5,7,3]=>[4,2,6,5,7,1,3]=>[3,1,7,5,6,2,4]=>[[1,3,5],[2,4,7],[6]]=>9 [2,6,4,1,7,3,5]=>[6,2,4,1,7,3,5]=>[5,3,7,1,4,2,6]=>[[1,3,7],[2,5],[4,6]]=>9 [2,6,4,1,7,5,3]=>[4,2,6,7,5,1,3]=>[3,1,5,7,6,2,4]=>[[1,3,4],[2,5,7],[6]]=>10 [2,6,4,3,1,5,7]=>[6,2,4,3,1,5,7]=>[7,5,1,3,4,2,6]=>[[1,4,5,7],[2],[3],[6]]=>8 [2,6,4,3,1,7,5]=>[6,2,4,3,7,1,5]=>[5,1,7,3,4,2,6]=>[[1,3,5,7],[2,4],[6]]=>9 [2,6,4,3,5,1,7]=>[6,2,4,3,5,1,7]=>[7,1,5,3,4,2,6]=>[[1,3,5,7],[2],[4],[6]]=>9 [2,6,4,3,5,7,1]=>[6,2,4,3,5,7,1]=>[1,7,5,3,4,2,6]=>[[1,2,5,7],[3],[4],[6]]=>10 [2,6,4,3,7,1,5]=>[6,2,4,7,3,1,5]=>[5,1,3,7,4,2,6]=>[[1,3,4,7],[2,5],[6]]=>10 [2,6,4,3,7,5,1]=>[6,2,4,7,3,5,1]=>[1,5,3,7,4,2,6]=>[[1,2,4,7],[3,5],[6]]=>11 [2,6,4,5,1,3,7]=>[4,6,5,2,1,3,7]=>[7,3,1,2,5,6,4]=>[[1,4,5,6],[2,7],[3]]=>9 [2,6,4,5,1,7,3]=>[4,6,5,2,7,1,3]=>[3,1,7,2,5,6,4]=>[[1,3,5,6],[2,4],[7]]=>10 [2,6,4,5,3,1,7]=>[4,6,5,2,3,1,7]=>[7,1,3,2,5,6,4]=>[[1,3,5,6],[2,7],[4]]=>10 [2,6,4,5,3,7,1]=>[4,6,5,2,3,7,1]=>[1,7,3,2,5,6,4]=>[[1,2,5,6],[3,7],[4]]=>11 [2,6,4,5,7,1,3]=>[4,6,5,7,2,1,3]=>[3,1,2,7,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>11 [2,6,4,5,7,3,1]=>[4,6,5,7,2,3,1]=>[1,3,2,7,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>12 [2,6,4,7,1,3,5]=>[6,7,2,1,4,3,5]=>[5,3,4,1,2,7,6]=>[[1,3,6],[2,5,7],[4]]=>10 [2,6,4,7,1,5,3]=>[4,6,2,7,5,1,3]=>[3,1,5,7,2,6,4]=>[[1,3,4],[2,5,6],[7]]=>11 [2,6,4,7,3,1,5]=>[6,7,2,4,3,1,5]=>[5,1,3,4,2,7,6]=>[[1,3,4,6],[2,7],[5]]=>11 [2,6,4,7,3,5,1]=>[6,7,2,4,3,5,1]=>[1,5,3,4,2,7,6]=>[[1,2,4,6],[3,7],[5]]=>12 [2,6,4,7,5,1,3]=>[4,6,7,5,2,1,3]=>[3,1,2,5,7,6,4]=>[[1,3,4,5],[2,6],[7]]=>12 [2,6,4,7,5,3,1]=>[4,6,7,5,2,3,1]=>[1,3,2,5,7,6,4]=>[[1,2,4,5],[3,6],[7]]=>13 [2,6,5,1,3,4,7]=>[2,1,6,5,3,4,7]=>[7,4,3,5,6,1,2]=>[[1,4,5],[2,7],[3],[6]]=>8 [2,6,5,1,3,7,4]=>[2,1,6,5,7,3,4]=>[4,3,7,5,6,1,2]=>[[1,3,5],[2,4],[6,7]]=>9 [2,6,5,1,4,3,7]=>[2,6,5,4,1,3,7]=>[7,3,1,4,5,6,2]=>[[1,4,5,6],[2,7],[3]]=>9 [2,6,5,1,4,7,3]=>[2,6,5,4,7,1,3]=>[3,1,7,4,5,6,2]=>[[1,3,5,6],[2,4],[7]]=>10 [2,6,5,1,7,3,4]=>[2,6,5,1,7,3,4]=>[4,3,7,1,5,6,2]=>[[1,3,6],[2,5],[4,7]]=>10 [2,6,5,1,7,4,3]=>[2,6,5,7,4,1,3]=>[3,1,4,7,5,6,2]=>[[1,3,4,6],[2,5],[7]]=>11 [2,6,5,3,1,4,7]=>[2,6,5,3,1,4,7]=>[7,4,1,3,5,6,2]=>[[1,4,5,6],[2],[3],[7]]=>9 [2,6,5,3,1,7,4]=>[2,6,5,3,7,1,4]=>[4,1,7,3,5,6,2]=>[[1,3,5,6],[2,4],[7]]=>10 [2,6,5,3,4,1,7]=>[2,6,5,3,4,1,7]=>[7,1,4,3,5,6,2]=>[[1,3,5,6],[2],[4],[7]]=>10 [2,6,5,3,4,7,1]=>[2,6,5,3,4,7,1]=>[1,7,4,3,5,6,2]=>[[1,2,5,6],[3],[4],[7]]=>11 [2,6,5,3,7,1,4]=>[2,6,5,7,3,1,4]=>[4,1,3,7,5,6,2]=>[[1,3,4,6],[2,5],[7]]=>11 [2,6,5,3,7,4,1]=>[2,6,5,7,3,4,1]=>[1,4,3,7,5,6,2]=>[[1,2,4,6],[3,5],[7]]=>12 [2,6,5,4,1,3,7]=>[6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6]=>[[1,4,5,6,7],[2],[3]]=>10 [2,6,5,4,1,7,3]=>[6,5,4,2,7,1,3]=>[3,1,7,2,4,5,6]=>[[1,3,5,6,7],[2,4]]=>11 [2,6,5,4,3,1,7]=>[6,5,4,2,3,1,7]=>[7,1,3,2,4,5,6]=>[[1,3,5,6,7],[2],[4]]=>11 [2,6,5,4,3,7,1]=>[6,5,4,2,3,7,1]=>[1,7,3,2,4,5,6]=>[[1,2,5,6,7],[3],[4]]=>12 [2,6,5,4,7,1,3]=>[6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6]=>[[1,3,4,6,7],[2,5]]=>12 [2,6,5,4,7,3,1]=>[6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6]=>[[1,2,4,6,7],[3,5]]=>13 [2,6,5,7,1,3,4]=>[6,5,2,1,7,3,4]=>[4,3,7,1,2,5,6]=>[[1,3,6,7],[2,5],[4]]=>11 [2,6,5,7,1,4,3]=>[6,5,2,7,4,1,3]=>[3,1,4,7,2,5,6]=>[[1,3,4,7],[2,5,6]]=>12 [2,6,5,7,3,1,4]=>[6,5,2,7,3,1,4]=>[4,1,3,7,2,5,6]=>[[1,3,4,7],[2,6],[5]]=>12 [2,6,5,7,3,4,1]=>[6,5,2,7,3,4,1]=>[1,4,3,7,2,5,6]=>[[1,2,4,7],[3,6],[5]]=>13 [2,6,5,7,4,1,3]=>[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>[[1,3,4,5,7],[2,6]]=>13 [2,6,5,7,4,3,1]=>[6,5,7,4,2,3,1]=>[1,3,2,4,7,5,6]=>[[1,2,4,5,7],[3,6]]=>14 [2,6,7,1,3,4,5]=>[2,1,6,3,7,4,5]=>[5,4,7,3,6,1,2]=>[[1,3],[2,5],[4,7],[6]]=>9 [2,6,7,1,3,5,4]=>[2,1,6,7,5,3,4]=>[4,3,5,7,6,1,2]=>[[1,3,4],[2,5],[6,7]]=>10 [2,6,7,1,4,3,5]=>[2,1,6,7,4,3,5]=>[5,3,4,7,6,1,2]=>[[1,3,4],[2,5],[6,7]]=>10 [2,6,7,1,4,5,3]=>[2,6,4,7,5,1,3]=>[3,1,5,7,4,6,2]=>[[1,3,4],[2,5,6],[7]]=>11 [2,6,7,1,5,3,4]=>[2,6,1,7,5,3,4]=>[4,3,5,7,1,6,2]=>[[1,3,4],[2,6],[5,7]]=>11 [2,6,7,1,5,4,3]=>[2,6,7,5,4,1,3]=>[3,1,4,5,7,6,2]=>[[1,3,4,5],[2,6],[7]]=>12 [2,6,7,3,1,4,5]=>[2,6,3,1,7,4,5]=>[5,4,7,1,3,6,2]=>[[1,3,6],[2,5],[4],[7]]=>10 [2,6,7,3,1,5,4]=>[2,6,3,7,5,1,4]=>[4,1,5,7,3,6,2]=>[[1,3,4],[2,5,6],[7]]=>11 [2,6,7,3,4,1,5]=>[2,6,3,7,4,1,5]=>[5,1,4,7,3,6,2]=>[[1,3,4],[2,6],[5],[7]]=>11 [2,6,7,3,4,5,1]=>[2,6,3,7,4,5,1]=>[1,5,4,7,3,6,2]=>[[1,2,4],[3,6],[5],[7]]=>12 [2,6,7,3,5,1,4]=>[2,6,7,5,3,1,4]=>[4,1,3,5,7,6,2]=>[[1,3,4,5],[2,6],[7]]=>12 [2,6,7,3,5,4,1]=>[2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2]=>[[1,2,4,5],[3,6],[7]]=>13 [2,6,7,4,1,3,5]=>[2,6,1,7,4,3,5]=>[5,3,4,7,1,6,2]=>[[1,3,4],[2,6],[5,7]]=>11 [2,6,7,4,1,5,3]=>[6,4,2,7,5,1,3]=>[3,1,5,7,2,4,6]=>[[1,3,4,7],[2,5,6]]=>12 [2,6,7,4,3,1,5]=>[2,6,7,4,3,1,5]=>[5,1,3,4,7,6,2]=>[[1,3,4,5],[2,6],[7]]=>12 [2,6,7,4,3,5,1]=>[2,6,7,4,3,5,1]=>[1,5,3,4,7,6,2]=>[[1,2,4,5],[3,6],[7]]=>13 [2,6,7,4,5,1,3]=>[6,4,7,5,2,1,3]=>[3,1,2,5,7,4,6]=>[[1,3,4,5],[2,6,7]]=>13 [2,6,7,4,5,3,1]=>[6,4,7,5,2,3,1]=>[1,3,2,5,7,4,6]=>[[1,2,4,5],[3,6,7]]=>14 [2,6,7,5,1,3,4]=>[6,2,1,7,5,3,4]=>[4,3,5,7,1,2,6]=>[[1,3,4],[2,6,7],[5]]=>12 [2,6,7,5,1,4,3]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[1,3,4,5],[2,6,7]]=>13 [2,6,7,5,3,1,4]=>[6,2,7,5,3,1,4]=>[4,1,3,5,7,2,6]=>[[1,3,4,5],[2,7],[6]]=>13 [2,6,7,5,3,4,1]=>[6,2,7,5,3,4,1]=>[1,4,3,5,7,2,6]=>[[1,2,4,5],[3,7],[6]]=>14 [2,6,7,5,4,1,3]=>[6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6]=>[[1,3,4,5,6],[2,7]]=>14 [2,6,7,5,4,3,1]=>[6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6]=>[[1,2,4,5,6],[3,7]]=>15 [2,7,1,3,4,5,6]=>[2,1,3,4,7,5,6]=>[6,5,7,4,3,1,2]=>[[1,3],[2,7],[4],[5],[6]]=>6 [2,7,1,3,4,6,5]=>[2,7,1,3,6,4,5]=>[5,4,6,3,1,7,2]=>[[1,3,6],[2,7],[4],[5]]=>7 [2,7,1,3,5,4,6]=>[2,7,1,3,5,4,6]=>[6,4,5,3,1,7,2]=>[[1,3,6],[2,7],[4],[5]]=>7 [2,7,1,3,5,6,4]=>[7,2,1,5,6,3,4]=>[4,3,6,5,1,2,7]=>[[1,3,7],[2,4],[5,6]]=>8 [2,7,1,3,6,4,5]=>[7,2,1,3,6,4,5]=>[5,4,6,3,1,2,7]=>[[1,3,7],[2,6],[4],[5]]=>8 [2,7,1,3,6,5,4]=>[7,2,6,1,5,3,4]=>[4,3,5,1,6,2,7]=>[[1,3,5,7],[2,6],[4]]=>9 [2,7,1,4,3,5,6]=>[2,4,1,3,7,5,6]=>[6,5,7,3,1,4,2]=>[[1,3],[2,6],[4,7],[5]]=>7 [2,7,1,4,3,6,5]=>[7,2,1,4,6,3,5]=>[5,3,6,4,1,2,7]=>[[1,3,7],[2,4],[5,6]]=>8 [2,7,1,4,5,3,6]=>[7,2,1,4,5,3,6]=>[6,3,5,4,1,2,7]=>[[1,3,7],[2,6],[4],[5]]=>8 [2,7,1,4,5,6,3]=>[2,4,5,7,6,1,3]=>[3,1,6,7,5,4,2]=>[[1,3,4],[2,5],[6],[7]]=>9 [2,7,1,4,6,3,5]=>[7,2,6,1,4,3,5]=>[5,3,4,1,6,2,7]=>[[1,3,5,7],[2,6],[4]]=>9 [2,7,1,4,6,5,3]=>[7,2,4,6,5,1,3]=>[3,1,5,6,4,2,7]=>[[1,3,4,7],[2,5],[6]]=>10 [2,7,1,5,3,4,6]=>[7,2,1,3,5,4,6]=>[6,4,5,3,1,2,7]=>[[1,3,7],[2,6],[4],[5]]=>8 [2,7,1,5,3,6,4]=>[2,1,7,5,6,3,4]=>[4,3,6,5,7,1,2]=>[[1,3,5],[2,4],[6,7]]=>9 [2,7,1,5,4,3,6]=>[7,2,5,1,4,3,6]=>[6,3,4,1,5,2,7]=>[[1,3,5,7],[2,6],[4]]=>9 [2,7,1,5,4,6,3]=>[5,2,4,7,6,1,3]=>[3,1,6,7,4,2,5]=>[[1,3,4],[2,5,7],[6]]=>10 [2,7,1,5,6,3,4]=>[2,7,5,1,6,3,4]=>[4,3,6,1,5,7,2]=>[[1,3,6],[2,5],[4,7]]=>10 [2,7,1,5,6,4,3]=>[2,7,5,6,4,1,3]=>[3,1,4,6,5,7,2]=>[[1,3,4,6],[2,5],[7]]=>11 [2,7,1,6,3,4,5]=>[2,1,7,3,6,4,5]=>[5,4,6,3,7,1,2]=>[[1,3,5],[2,7],[4],[6]]=>9 [2,7,1,6,3,5,4]=>[2,7,6,1,5,3,4]=>[4,3,5,1,6,7,2]=>[[1,3,5,6],[2,7],[4]]=>10 [2,7,1,6,4,3,5]=>[2,7,6,1,4,3,5]=>[5,3,4,1,6,7,2]=>[[1,3,5,6],[2,7],[4]]=>10 [2,7,1,6,4,5,3]=>[2,7,4,6,5,1,3]=>[3,1,5,6,4,7,2]=>[[1,3,4,6],[2,5],[7]]=>11 [2,7,1,6,5,3,4]=>[7,6,2,1,5,3,4]=>[4,3,5,1,2,6,7]=>[[1,3,6,7],[2,5],[4]]=>11 [2,7,1,6,5,4,3]=>[7,6,2,5,4,1,3]=>[3,1,4,5,2,6,7]=>[[1,3,4,6,7],[2,5]]=>12 [2,7,3,1,4,5,6]=>[2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2]=>[[1,3],[2,6],[4],[5],[7]]=>7 [2,7,3,1,4,6,5]=>[2,3,7,1,6,4,5]=>[5,4,6,1,7,3,2]=>[[1,3,5],[2,6],[4],[7]]=>8 [2,7,3,1,5,4,6]=>[2,3,7,1,5,4,6]=>[6,4,5,1,7,3,2]=>[[1,3,5],[2,6],[4],[7]]=>8 [2,7,3,1,5,6,4]=>[2,3,5,7,6,1,4]=>[4,1,6,7,5,3,2]=>[[1,3,4],[2,5],[6],[7]]=>9 [2,7,3,1,6,4,5]=>[7,2,3,1,6,4,5]=>[5,4,6,1,3,2,7]=>[[1,3,7],[2,5],[4],[6]]=>9 [2,7,3,1,6,5,4]=>[7,2,3,6,5,1,4]=>[4,1,5,6,3,2,7]=>[[1,3,4,7],[2,5],[6]]=>10 [2,7,3,4,1,5,6]=>[2,3,4,1,7,5,6]=>[6,5,7,1,4,3,2]=>[[1,3],[2,5],[4],[6],[7]]=>8 [2,7,3,4,1,6,5]=>[2,3,4,7,6,1,5]=>[5,1,6,7,4,3,2]=>[[1,3,4],[2,5],[6],[7]]=>9 [2,7,3,4,5,1,6]=>[2,3,4,7,5,1,6]=>[6,1,5,7,4,3,2]=>[[1,3,4],[2],[5],[6],[7]]=>9 [2,7,3,4,5,6,1]=>[2,3,4,7,5,6,1]=>[1,6,5,7,4,3,2]=>[[1,2,4],[3],[5],[6],[7]]=>10 [2,7,3,4,6,1,5]=>[7,2,3,6,4,1,5]=>[5,1,4,6,3,2,7]=>[[1,3,4,7],[2],[5],[6]]=>10 [2,7,3,4,6,5,1]=>[7,2,3,6,4,5,1]=>[1,5,4,6,3,2,7]=>[[1,2,4,7],[3],[5],[6]]=>11 [2,7,3,5,1,4,6]=>[7,2,3,1,5,4,6]=>[6,4,5,1,3,2,7]=>[[1,3,7],[2,5],[4],[6]]=>9 [2,7,3,5,1,6,4]=>[5,2,3,7,6,1,4]=>[4,1,6,7,3,2,5]=>[[1,3,4],[2,5,7],[6]]=>10 [2,7,3,5,4,1,6]=>[7,2,3,5,4,1,6]=>[6,1,4,5,3,2,7]=>[[1,3,4,7],[2],[5],[6]]=>10 [2,7,3,5,4,6,1]=>[7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]=>[[1,2,4,7],[3],[5],[6]]=>11 [2,7,3,5,6,1,4]=>[2,7,5,6,3,1,4]=>[4,1,3,6,5,7,2]=>[[1,3,4,6],[2,5],[7]]=>11 [2,7,3,5,6,4,1]=>[2,7,5,6,3,4,1]=>[1,4,3,6,5,7,2]=>[[1,2,4,6],[3,5],[7]]=>12 [2,7,3,6,1,4,5]=>[2,7,3,1,6,4,5]=>[5,4,6,1,3,7,2]=>[[1,3,6],[2,5],[4],[7]]=>10 [2,7,3,6,1,5,4]=>[2,7,3,6,5,1,4]=>[4,1,5,6,3,7,2]=>[[1,3,4,6],[2,5],[7]]=>11 [2,7,3,6,4,1,5]=>[2,7,3,6,4,1,5]=>[5,1,4,6,3,7,2]=>[[1,3,4,6],[2],[5],[7]]=>11 [2,7,3,6,4,5,1]=>[2,7,3,6,4,5,1]=>[1,5,4,6,3,7,2]=>[[1,2,4,6],[3],[5],[7]]=>12 [2,7,3,6,5,1,4]=>[7,6,2,5,3,1,4]=>[4,1,3,5,2,6,7]=>[[1,3,4,6,7],[2],[5]]=>12 [2,7,3,6,5,4,1]=>[7,6,2,5,3,4,1]=>[1,4,3,5,2,6,7]=>[[1,2,4,6,7],[3],[5]]=>13 [2,7,4,1,3,5,6]=>[4,2,1,3,7,5,6]=>[6,5,7,3,1,2,4]=>[[1,3,7],[2,6],[4],[5]]=>8 [2,7,4,1,3,6,5]=>[2,1,7,4,6,3,5]=>[5,3,6,4,7,1,2]=>[[1,3,5],[2,4],[6,7]]=>9 [2,7,4,1,5,3,6]=>[2,1,7,4,5,3,6]=>[6,3,5,4,7,1,2]=>[[1,3,5],[2,7],[4],[6]]=>9 [2,7,4,1,5,6,3]=>[4,2,5,7,6,1,3]=>[3,1,6,7,5,2,4]=>[[1,3,4],[2,5,7],[6]]=>10 [2,7,4,1,6,3,5]=>[2,7,4,1,6,3,5]=>[5,3,6,1,4,7,2]=>[[1,3,6],[2,5],[4,7]]=>10 [2,7,4,1,6,5,3]=>[4,7,2,6,5,1,3]=>[3,1,5,6,2,7,4]=>[[1,3,4,6],[2,5,7]]=>11 [2,7,4,3,1,5,6]=>[4,2,3,1,7,5,6]=>[6,5,7,1,3,2,4]=>[[1,3,7],[2,5],[4],[6]]=>9 [2,7,4,3,1,6,5]=>[4,2,3,7,6,1,5]=>[5,1,6,7,3,2,4]=>[[1,3,4],[2,5,7],[6]]=>10 [2,7,4,3,5,1,6]=>[4,2,3,7,5,1,6]=>[6,1,5,7,3,2,4]=>[[1,3,4],[2,7],[5],[6]]=>10 [2,7,4,3,5,6,1]=>[4,2,3,7,5,6,1]=>[1,6,5,7,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>11 [2,7,4,3,6,1,5]=>[2,7,4,6,3,1,5]=>[5,1,3,6,4,7,2]=>[[1,3,4,6],[2,5],[7]]=>11 [2,7,4,3,6,5,1]=>[2,7,4,6,3,5,1]=>[1,5,3,6,4,7,2]=>[[1,2,4,6],[3,5],[7]]=>12 [2,7,4,5,1,3,6]=>[2,7,4,1,5,3,6]=>[6,3,5,1,4,7,2]=>[[1,3,6],[2,5],[4],[7]]=>10 [2,7,4,5,1,6,3]=>[4,5,2,7,6,1,3]=>[3,1,6,7,2,5,4]=>[[1,3,4],[2,5,6],[7]]=>11 [2,7,4,5,3,1,6]=>[2,7,4,5,3,1,6]=>[6,1,3,5,4,7,2]=>[[1,3,4,6],[2],[5],[7]]=>11 [2,7,4,5,3,6,1]=>[2,7,4,5,3,6,1]=>[1,6,3,5,4,7,2]=>[[1,2,4,6],[3],[5],[7]]=>12 [2,7,4,5,6,1,3]=>[4,5,7,6,2,1,3]=>[3,1,2,6,7,5,4]=>[[1,3,4,5],[2,6],[7]]=>12 [2,7,4,5,6,3,1]=>[4,5,7,6,2,3,1]=>[1,3,2,6,7,5,4]=>[[1,2,4,5],[3,6],[7]]=>13 [2,7,4,6,1,3,5]=>[7,6,2,1,4,3,5]=>[5,3,4,1,2,6,7]=>[[1,3,6,7],[2,5],[4]]=>11 [2,7,4,6,1,5,3]=>[7,4,2,6,5,1,3]=>[3,1,5,6,2,4,7]=>[[1,3,4,7],[2,5,6]]=>12 [2,7,4,6,3,1,5]=>[7,6,2,4,3,1,5]=>[5,1,3,4,2,6,7]=>[[1,3,4,6,7],[2],[5]]=>12 [2,7,4,6,3,5,1]=>[7,6,2,4,3,5,1]=>[1,5,3,4,2,6,7]=>[[1,2,4,6,7],[3],[5]]=>13 [2,7,4,6,5,1,3]=>[7,4,6,5,2,1,3]=>[3,1,2,5,6,4,7]=>[[1,3,4,5,7],[2,6]]=>13 [2,7,4,6,5,3,1]=>[7,4,6,5,2,3,1]=>[1,3,2,5,6,4,7]=>[[1,2,4,5,7],[3,6]]=>14 [2,7,5,1,3,4,6]=>[2,1,7,3,5,4,6]=>[6,4,5,3,7,1,2]=>[[1,3,5],[2,7],[4],[6]]=>9 [2,7,5,1,3,6,4]=>[2,1,5,7,6,3,4]=>[4,3,6,7,5,1,2]=>[[1,3,4],[2,5],[6,7]]=>10 [2,7,5,1,4,3,6]=>[2,7,5,1,4,3,6]=>[6,3,4,1,5,7,2]=>[[1,3,5,6],[2,7],[4]]=>10 [2,7,5,1,4,6,3]=>[2,5,4,7,6,1,3]=>[3,1,6,7,4,5,2]=>[[1,3,4],[2,5,6],[7]]=>11 [2,7,5,1,6,3,4]=>[2,5,1,7,6,3,4]=>[4,3,6,7,1,5,2]=>[[1,3,4],[2,6],[5,7]]=>11 [2,7,5,1,6,4,3]=>[2,5,7,6,4,1,3]=>[3,1,4,6,7,5,2]=>[[1,3,4,5],[2,6],[7]]=>12 [2,7,5,3,1,4,6]=>[2,7,3,1,5,4,6]=>[6,4,5,1,3,7,2]=>[[1,3,6],[2,5],[4],[7]]=>10 [2,7,5,3,1,6,4]=>[2,5,3,7,6,1,4]=>[4,1,6,7,3,5,2]=>[[1,3,4],[2,5,6],[7]]=>11 [2,7,5,3,4,1,6]=>[2,7,3,5,4,1,6]=>[6,1,4,5,3,7,2]=>[[1,3,4,6],[2],[5],[7]]=>11 [2,7,5,3,4,6,1]=>[2,7,3,5,4,6,1]=>[1,6,4,5,3,7,2]=>[[1,2,4,6],[3],[5],[7]]=>12 [2,7,5,3,6,1,4]=>[2,5,7,6,3,1,4]=>[4,1,3,6,7,5,2]=>[[1,3,4,5],[2,6],[7]]=>12 [2,7,5,3,6,4,1]=>[2,5,7,6,3,4,1]=>[1,4,3,6,7,5,2]=>[[1,2,4,5],[3,6],[7]]=>13 [2,7,5,4,1,3,6]=>[7,5,2,1,4,3,6]=>[6,3,4,1,2,5,7]=>[[1,3,6,7],[2,5],[4]]=>11 [2,7,5,4,1,6,3]=>[5,4,2,7,6,1,3]=>[3,1,6,7,2,4,5]=>[[1,3,4,7],[2,5,6]]=>12 [2,7,5,4,3,1,6]=>[7,5,2,4,3,1,6]=>[6,1,3,4,2,5,7]=>[[1,3,4,6,7],[2],[5]]=>12 [2,7,5,4,3,6,1]=>[7,5,2,4,3,6,1]=>[1,6,3,4,2,5,7]=>[[1,2,4,6,7],[3],[5]]=>13 [2,7,5,4,6,1,3]=>[5,4,7,6,2,1,3]=>[3,1,2,6,7,4,5]=>[[1,3,4,5],[2,6,7]]=>13 [2,7,5,4,6,3,1]=>[5,4,7,6,2,3,1]=>[1,3,2,6,7,4,5]=>[[1,2,4,5],[3,6,7]]=>14 [2,7,5,6,1,3,4]=>[5,2,1,7,6,3,4]=>[4,3,6,7,1,2,5]=>[[1,3,4],[2,6,7],[5]]=>12 [2,7,5,6,1,4,3]=>[5,2,7,6,4,1,3]=>[3,1,4,6,7,2,5]=>[[1,3,4,5],[2,6,7]]=>13 [2,7,5,6,3,1,4]=>[5,2,7,6,3,1,4]=>[4,1,3,6,7,2,5]=>[[1,3,4,5],[2,7],[6]]=>13 [2,7,5,6,3,4,1]=>[5,2,7,6,3,4,1]=>[1,4,3,6,7,2,5]=>[[1,2,4,5],[3,7],[6]]=>14 [2,7,5,6,4,1,3]=>[5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5]=>[[1,3,4,5,6],[2,7]]=>14 [2,7,5,6,4,3,1]=>[5,7,6,4,2,3,1]=>[1,3,2,4,6,7,5]=>[[1,2,4,5,6],[3,7]]=>15 [2,7,6,1,3,4,5]=>[2,1,3,7,6,4,5]=>[5,4,6,7,3,1,2]=>[[1,3,4],[2,7],[5],[6]]=>10 [2,7,6,1,3,5,4]=>[2,7,1,6,5,3,4]=>[4,3,5,6,1,7,2]=>[[1,3,4,6],[2,7],[5]]=>11 [2,7,6,1,4,3,5]=>[2,7,1,6,4,3,5]=>[5,3,4,6,1,7,2]=>[[1,3,4,6],[2,7],[5]]=>11 [2,7,6,1,4,5,3]=>[2,4,7,6,5,1,3]=>[3,1,5,6,7,4,2]=>[[1,3,4,5],[2,6],[7]]=>12 [2,7,6,1,5,3,4]=>[7,2,1,6,5,3,4]=>[4,3,5,6,1,2,7]=>[[1,3,4,7],[2,6],[5]]=>12 [2,7,6,1,5,4,3]=>[7,2,6,5,4,1,3]=>[3,1,4,5,6,2,7]=>[[1,3,4,5,7],[2,6]]=>13 [2,7,6,3,1,4,5]=>[2,3,1,7,6,4,5]=>[5,4,6,7,1,3,2]=>[[1,3,4],[2,6],[5],[7]]=>11 [2,7,6,3,1,5,4]=>[2,3,7,6,5,1,4]=>[4,1,5,6,7,3,2]=>[[1,3,4,5],[2,6],[7]]=>12 [2,7,6,3,4,1,5]=>[2,3,7,6,4,1,5]=>[5,1,4,6,7,3,2]=>[[1,3,4,5],[2],[6],[7]]=>12 [2,7,6,3,4,5,1]=>[2,3,7,6,4,5,1]=>[1,5,4,6,7,3,2]=>[[1,2,4,5],[3],[6],[7]]=>13 [2,7,6,3,5,1,4]=>[7,2,6,5,3,1,4]=>[4,1,3,5,6,2,7]=>[[1,3,4,5,7],[2],[6]]=>13 [2,7,6,3,5,4,1]=>[7,2,6,5,3,4,1]=>[1,4,3,5,6,2,7]=>[[1,2,4,5,7],[3],[6]]=>14 [2,7,6,4,1,3,5]=>[7,2,1,6,4,3,5]=>[5,3,4,6,1,2,7]=>[[1,3,4,7],[2,6],[5]]=>12 [2,7,6,4,1,5,3]=>[4,2,7,6,5,1,3]=>[3,1,5,6,7,2,4]=>[[1,3,4,5],[2,6,7]]=>13 [2,7,6,4,3,1,5]=>[7,2,6,4,3,1,5]=>[5,1,3,4,6,2,7]=>[[1,3,4,5,7],[2],[6]]=>13 [2,7,6,4,3,5,1]=>[7,2,6,4,3,5,1]=>[1,5,3,4,6,2,7]=>[[1,2,4,5,7],[3],[6]]=>14 [2,7,6,4,5,1,3]=>[4,7,6,5,2,1,3]=>[3,1,2,5,6,7,4]=>[[1,3,4,5,6],[2,7]]=>14 [2,7,6,4,5,3,1]=>[4,7,6,5,2,3,1]=>[1,3,2,5,6,7,4]=>[[1,2,4,5,6],[3,7]]=>15 [2,7,6,5,1,3,4]=>[2,1,7,6,5,3,4]=>[4,3,5,6,7,1,2]=>[[1,3,4,5],[2,7],[6]]=>13 [2,7,6,5,1,4,3]=>[2,7,6,5,4,1,3]=>[3,1,4,5,6,7,2]=>[[1,3,4,5,6],[2,7]]=>14 [2,7,6,5,3,1,4]=>[2,7,6,5,3,1,4]=>[4,1,3,5,6,7,2]=>[[1,3,4,5,6],[2],[7]]=>14 [2,7,6,5,3,4,1]=>[2,7,6,5,3,4,1]=>[1,4,3,5,6,7,2]=>[[1,2,4,5,6],[3],[7]]=>15 [2,7,6,5,4,1,3]=>[7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>15 [2,7,6,5,4,3,1]=>[7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>16 [3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[[1,6],[2],[3],[4],[5],[7]]=>2 [3,1,2,4,5,7,6]=>[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>[[1,5],[2,6],[3],[4],[7]]=>3 [3,1,2,4,6,5,7]=>[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>[[1,5],[2,6],[3],[4],[7]]=>3 [3,1,2,4,6,7,5]=>[1,3,6,7,2,4,5]=>[5,4,2,7,6,3,1]=>[[1,4],[2,5],[3,6],[7]]=>4 [3,1,2,4,7,5,6]=>[3,1,7,2,4,5,6]=>[6,5,4,2,7,1,3]=>[[1,5],[2,7],[3],[4],[6]]=>4 [3,1,2,4,7,6,5]=>[7,1,3,6,2,4,5]=>[5,4,2,6,3,1,7]=>[[1,4,7],[2,5],[3],[6]]=>5 [3,1,2,5,4,6,7]=>[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>[[1,5],[2,6],[3],[4],[7]]=>3 [3,1,2,5,4,7,6]=>[1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1]=>[[1,4],[2,5],[3,6],[7]]=>4 [3,1,2,5,6,4,7]=>[1,3,5,6,2,4,7]=>[7,4,2,6,5,3,1]=>[[1,4],[2,5],[3],[6],[7]]=>4 [3,1,2,5,6,7,4]=>[1,3,5,6,7,2,4]=>[4,2,7,6,5,3,1]=>[[1,3],[2,4],[5],[6],[7]]=>5 [3,1,2,5,7,4,6]=>[7,1,3,5,2,4,6]=>[6,4,2,5,3,1,7]=>[[1,4,7],[2,5],[3],[6]]=>5 [3,1,2,5,7,6,4]=>[7,1,3,5,6,2,4]=>[4,2,6,5,3,1,7]=>[[1,3,7],[2,4],[5],[6]]=>6 [3,1,2,6,4,5,7]=>[3,1,6,2,4,5,7]=>[7,5,4,2,6,1,3]=>[[1,5],[2,7],[3],[4],[6]]=>4 [3,1,2,6,4,7,5]=>[3,1,6,7,2,4,5]=>[5,4,2,7,6,1,3]=>[[1,4],[2,5],[3,7],[6]]=>5 [3,1,2,6,5,4,7]=>[6,1,3,5,2,4,7]=>[7,4,2,5,3,1,6]=>[[1,4,7],[2,5],[3],[6]]=>5 [3,1,2,6,5,7,4]=>[6,1,3,5,7,2,4]=>[4,2,7,5,3,1,6]=>[[1,3,7],[2,4],[5],[6]]=>6 [3,1,2,6,7,4,5]=>[3,6,1,7,2,4,5]=>[5,4,2,7,1,6,3]=>[[1,4],[2,6],[3,7],[5]]=>6 [3,1,2,6,7,5,4]=>[6,7,1,3,5,2,4]=>[4,2,5,3,1,7,6]=>[[1,3,6],[2,4,7],[5]]=>7 [3,1,2,7,4,5,6]=>[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>[[1,5,6],[2],[3],[4],[7]]=>5 [3,1,2,7,4,6,5]=>[3,7,1,6,2,4,5]=>[5,4,2,6,1,7,3]=>[[1,4,6],[2,7],[3],[5]]=>6 [3,1,2,7,5,4,6]=>[3,7,1,5,2,4,6]=>[6,4,2,5,1,7,3]=>[[1,4,6],[2,7],[3],[5]]=>6 [3,1,2,7,5,6,4]=>[1,7,3,5,6,2,4]=>[4,2,6,5,3,7,1]=>[[1,3,6],[2,4],[5],[7]]=>7 [3,1,2,7,6,4,5]=>[7,3,1,6,2,4,5]=>[5,4,2,6,1,3,7]=>[[1,4,7],[2,6],[3],[5]]=>7 [3,1,2,7,6,5,4]=>[7,6,1,3,5,2,4]=>[4,2,5,3,1,6,7]=>[[1,3,6,7],[2,4],[5]]=>8 [3,1,4,2,5,6,7]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[[1,5],[2],[3],[4],[6],[7]]=>3 [3,1,4,2,5,7,6]=>[1,3,4,7,2,5,6]=>[6,5,2,7,4,3,1]=>[[1,4],[2,5],[3],[6],[7]]=>4 [3,1,4,2,6,5,7]=>[1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1]=>[[1,4],[2,5],[3],[6],[7]]=>4 [3,1,4,2,6,7,5]=>[1,3,4,6,7,2,5]=>[5,2,7,6,4,3,1]=>[[1,3],[2,4],[5],[6],[7]]=>5 [3,1,4,2,7,5,6]=>[7,1,3,4,2,5,6]=>[6,5,2,4,3,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>5 [3,1,4,2,7,6,5]=>[7,1,3,4,6,2,5]=>[5,2,6,4,3,1,7]=>[[1,3,7],[2,4],[5],[6]]=>6 [3,1,4,5,2,6,7]=>[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>[[1,4],[2],[3],[5],[6],[7]]=>4 [3,1,4,5,2,7,6]=>[1,3,4,5,7,2,6]=>[6,2,7,5,4,3,1]=>[[1,3],[2,4],[5],[6],[7]]=>5 [3,1,4,5,6,2,7]=>[1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7]]=>5 [3,1,4,5,6,7,2]=>[1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6],[7]]=>6 [3,1,4,5,7,2,6]=>[7,1,3,4,5,2,6]=>[6,2,5,4,3,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>6 [3,1,4,5,7,6,2]=>[7,1,3,4,5,6,2]=>[2,6,5,4,3,1,7]=>[[1,2,7],[3],[4],[5],[6]]=>7 [3,1,4,6,2,5,7]=>[6,1,3,4,2,5,7]=>[7,5,2,4,3,1,6]=>[[1,4,7],[2],[3],[5],[6]]=>5 [3,1,4,6,2,7,5]=>[6,1,3,4,7,2,5]=>[5,2,7,4,3,1,6]=>[[1,3,7],[2,4],[5],[6]]=>6 [3,1,4,6,5,2,7]=>[6,1,3,4,5,2,7]=>[7,2,5,4,3,1,6]=>[[1,3,7],[2],[4],[5],[6]]=>6 [3,1,4,6,5,7,2]=>[6,1,3,4,5,7,2]=>[2,7,5,4,3,1,6]=>[[1,2,7],[3],[4],[5],[6]]=>7 [3,1,4,6,7,2,5]=>[6,7,1,3,4,2,5]=>[5,2,4,3,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>7 [3,1,4,6,7,5,2]=>[6,7,1,3,4,5,2]=>[2,5,4,3,1,7,6]=>[[1,2,6],[3,7],[4],[5]]=>8 [3,1,4,7,2,5,6]=>[3,7,1,4,2,5,6]=>[6,5,2,4,1,7,3]=>[[1,4,6],[2,7],[3],[5]]=>6 [3,1,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>[5,2,6,4,3,7,1]=>[[1,3,6],[2,4],[5],[7]]=>7 [3,1,4,7,5,2,6]=>[1,7,3,4,5,2,6]=>[6,2,5,4,3,7,1]=>[[1,3,6],[2],[4],[5],[7]]=>7 [3,1,4,7,5,6,2]=>[1,7,3,4,5,6,2]=>[2,6,5,4,3,7,1]=>[[1,2,6],[3],[4],[5],[7]]=>8 [3,1,4,7,6,2,5]=>[7,6,1,3,4,2,5]=>[5,2,4,3,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>8 [3,1,4,7,6,5,2]=>[7,6,1,3,4,5,2]=>[2,5,4,3,1,6,7]=>[[1,2,6,7],[3],[4],[5]]=>9 [3,1,5,2,4,6,7]=>[3,1,5,2,4,6,7]=>[7,6,4,2,5,1,3]=>[[1,5],[2,7],[3],[4],[6]]=>4 [3,1,5,2,4,7,6]=>[3,1,5,7,2,4,6]=>[6,4,2,7,5,1,3]=>[[1,4],[2,5],[3,7],[6]]=>5 [3,1,5,2,6,4,7]=>[3,1,5,6,2,4,7]=>[7,4,2,6,5,1,3]=>[[1,4],[2,5],[3,7],[6]]=>5 [3,1,5,2,6,7,4]=>[3,1,5,6,7,2,4]=>[4,2,7,6,5,1,3]=>[[1,3],[2,4],[5,7],[6]]=>6 [3,1,5,2,7,4,6]=>[3,5,1,7,2,4,6]=>[6,4,2,7,1,5,3]=>[[1,4],[2,6],[3,7],[5]]=>6 [3,1,5,2,7,6,4]=>[3,7,1,5,6,2,4]=>[4,2,6,5,1,7,3]=>[[1,3,6],[2,4],[5,7]]=>7 [3,1,5,4,2,6,7]=>[5,1,3,4,2,6,7]=>[7,6,2,4,3,1,5]=>[[1,4,7],[2],[3],[5],[6]]=>5 [3,1,5,4,2,7,6]=>[5,1,3,4,7,2,6]=>[6,2,7,4,3,1,5]=>[[1,3,7],[2,4],[5],[6]]=>6 [3,1,5,4,6,2,7]=>[5,1,3,4,6,2,7]=>[7,2,6,4,3,1,5]=>[[1,3,7],[2],[4],[5],[6]]=>6 [3,1,5,4,6,7,2]=>[5,1,3,4,6,7,2]=>[2,7,6,4,3,1,5]=>[[1,2,7],[3],[4],[5],[6]]=>7 [3,1,5,4,7,2,6]=>[5,7,1,3,4,2,6]=>[6,2,4,3,1,7,5]=>[[1,3,6],[2,7],[4],[5]]=>7 [3,1,5,4,7,6,2]=>[5,7,1,3,4,6,2]=>[2,6,4,3,1,7,5]=>[[1,2,6],[3,7],[4],[5]]=>8 [3,1,5,6,2,4,7]=>[3,5,1,6,2,4,7]=>[7,4,2,6,1,5,3]=>[[1,4],[2,6],[3,7],[5]]=>6 [3,1,5,6,2,7,4]=>[3,5,1,6,7,2,4]=>[4,2,7,6,1,5,3]=>[[1,3],[2,4],[5,6],[7]]=>7 [3,1,5,6,4,2,7]=>[5,6,1,3,4,2,7]=>[7,2,4,3,1,6,5]=>[[1,3,6],[2,7],[4],[5]]=>7 [3,1,5,6,4,7,2]=>[5,6,1,3,4,7,2]=>[2,7,4,3,1,6,5]=>[[1,2,6],[3,7],[4],[5]]=>8 [3,1,5,6,7,2,4]=>[3,5,6,1,7,2,4]=>[4,2,7,1,6,5,3]=>[[1,3],[2,5],[4,6],[7]]=>8 [3,1,5,6,7,4,2]=>[5,6,7,1,3,4,2]=>[2,4,3,1,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>9 [3,1,5,7,2,4,6]=>[7,3,1,5,2,4,6]=>[6,4,2,5,1,3,7]=>[[1,4,7],[2,6],[3],[5]]=>7 [3,1,5,7,2,6,4]=>[3,5,7,1,6,2,4]=>[4,2,6,1,7,5,3]=>[[1,3,5],[2,6],[4,7]]=>8 [3,1,5,7,4,2,6]=>[7,5,1,3,4,2,6]=>[6,2,4,3,1,5,7]=>[[1,3,6,7],[2],[4],[5]]=>8 [3,1,5,7,4,6,2]=>[7,5,1,3,4,6,2]=>[2,6,4,3,1,5,7]=>[[1,2,6,7],[3],[4],[5]]=>9 [3,1,5,7,6,2,4]=>[7,3,5,1,6,2,4]=>[4,2,6,1,5,3,7]=>[[1,3,7],[2,5],[4,6]]=>9 [3,1,5,7,6,4,2]=>[7,5,6,1,3,4,2]=>[2,4,3,1,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>10 [3,1,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>5 [3,1,6,2,4,7,5]=>[1,6,3,7,2,4,5]=>[5,4,2,7,3,6,1]=>[[1,4,6],[2,5],[3],[7]]=>6 [3,1,6,2,5,4,7]=>[3,6,1,5,2,4,7]=>[7,4,2,5,1,6,3]=>[[1,4,6],[2,7],[3],[5]]=>6 [3,1,6,2,5,7,4]=>[3,6,1,5,7,2,4]=>[4,2,7,5,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>7 [3,1,6,2,7,4,5]=>[6,3,1,7,2,4,5]=>[5,4,2,7,1,3,6]=>[[1,4,7],[2,6],[3],[5]]=>7 [3,1,6,2,7,5,4]=>[3,6,7,1,5,2,4]=>[4,2,5,1,7,6,3]=>[[1,3,5],[2,6],[4,7]]=>8 [3,1,6,4,2,5,7]=>[3,6,1,4,2,5,7]=>[7,5,2,4,1,6,3]=>[[1,4,6],[2,7],[3],[5]]=>6 [3,1,6,4,2,7,5]=>[3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>7 [3,1,6,4,5,2,7]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[[1,3,6],[2],[4],[5],[7]]=>7 [3,1,6,4,5,7,2]=>[1,6,3,4,5,7,2]=>[2,7,5,4,3,6,1]=>[[1,2,6],[3],[4],[5],[7]]=>8 [3,1,6,4,7,2,5]=>[3,6,7,1,4,2,5]=>[5,2,4,1,7,6,3]=>[[1,3,5],[2,6],[4,7]]=>8 [3,1,6,4,7,5,2]=>[1,6,7,3,4,5,2]=>[2,5,4,3,7,6,1]=>[[1,2,5],[3,6],[4],[7]]=>9 [3,1,6,5,2,4,7]=>[6,3,1,5,2,4,7]=>[7,4,2,5,1,3,6]=>[[1,4,7],[2,6],[3],[5]]=>7 [3,1,6,5,2,7,4]=>[6,3,1,5,7,2,4]=>[4,2,7,5,1,3,6]=>[[1,3,7],[2,4],[5,6]]=>8 [3,1,6,5,4,2,7]=>[6,5,1,3,4,2,7]=>[7,2,4,3,1,5,6]=>[[1,3,6,7],[2],[4],[5]]=>8 [3,1,6,5,4,7,2]=>[6,5,1,3,4,7,2]=>[2,7,4,3,1,5,6]=>[[1,2,6,7],[3],[4],[5]]=>9 [3,1,6,5,7,2,4]=>[6,3,5,1,7,2,4]=>[4,2,7,1,5,3,6]=>[[1,3,7],[2,5],[4,6]]=>9 [3,1,6,5,7,4,2]=>[6,5,7,1,3,4,2]=>[2,4,3,1,7,5,6]=>[[1,2,5,7],[3,6],[4]]=>10 [3,1,6,7,2,4,5]=>[6,1,7,3,2,4,5]=>[5,4,2,3,7,1,6]=>[[1,4,5],[2,7],[3],[6]]=>8 [3,1,6,7,2,5,4]=>[6,3,7,1,5,2,4]=>[4,2,5,1,7,3,6]=>[[1,3,5],[2,6,7],[4]]=>9 [3,1,6,7,4,2,5]=>[6,3,7,1,4,2,5]=>[5,2,4,1,7,3,6]=>[[1,3,5],[2,6,7],[4]]=>9 [3,1,6,7,4,5,2]=>[6,1,7,3,4,5,2]=>[2,5,4,3,7,1,6]=>[[1,2,5],[3,7],[4],[6]]=>10 [3,1,6,7,5,2,4]=>[6,7,3,1,5,2,4]=>[4,2,5,1,3,7,6]=>[[1,3,6],[2,5,7],[4]]=>10 [3,1,6,7,5,4,2]=>[6,7,5,1,3,4,2]=>[2,4,3,1,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>11 [3,1,7,2,4,5,6]=>[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>[[1,4],[2,6],[3],[5],[7]]=>6 [3,1,7,2,4,6,5]=>[1,3,7,6,2,4,5]=>[5,4,2,6,7,3,1]=>[[1,4,5],[2,6],[3],[7]]=>7 [3,1,7,2,5,4,6]=>[1,3,7,5,2,4,6]=>[6,4,2,5,7,3,1]=>[[1,4,5],[2,6],[3],[7]]=>7 [3,1,7,2,5,6,4]=>[7,3,1,5,6,2,4]=>[4,2,6,5,1,3,7]=>[[1,3,7],[2,4],[5,6]]=>8 [3,1,7,2,6,4,5]=>[3,1,7,6,2,4,5]=>[5,4,2,6,7,1,3]=>[[1,4,5],[2,7],[3],[6]]=>8 [3,1,7,2,6,5,4]=>[7,3,6,1,5,2,4]=>[4,2,5,1,6,3,7]=>[[1,3,5,7],[2,6],[4]]=>9 [3,1,7,4,2,5,6]=>[1,3,7,4,2,5,6]=>[6,5,2,4,7,3,1]=>[[1,4,5],[2],[3],[6],[7]]=>7 [3,1,7,4,2,6,5]=>[7,3,1,4,6,2,5]=>[5,2,6,4,1,3,7]=>[[1,3,7],[2,4],[5,6]]=>8 [3,1,7,4,5,2,6]=>[7,3,1,4,5,2,6]=>[6,2,5,4,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>8 [3,1,7,4,5,6,2]=>[1,3,7,4,5,6,2]=>[2,6,5,4,7,3,1]=>[[1,2,5],[3],[4],[6],[7]]=>9 [3,1,7,4,6,2,5]=>[7,3,6,1,4,2,5]=>[5,2,4,1,6,3,7]=>[[1,3,5,7],[2,6],[4]]=>9 [3,1,7,4,6,5,2]=>[7,1,6,3,4,5,2]=>[2,5,4,3,6,1,7]=>[[1,2,5,7],[3],[4],[6]]=>10 [3,1,7,5,2,4,6]=>[3,1,7,5,2,4,6]=>[6,4,2,5,7,1,3]=>[[1,4,5],[2,7],[3],[6]]=>8 [3,1,7,5,2,6,4]=>[3,1,7,5,6,2,4]=>[4,2,6,5,7,1,3]=>[[1,3,5],[2,4],[6,7]]=>9 [3,1,7,5,4,2,6]=>[7,3,5,1,4,2,6]=>[6,2,4,1,5,3,7]=>[[1,3,5,7],[2,6],[4]]=>9 [3,1,7,5,4,6,2]=>[7,1,5,3,4,6,2]=>[2,6,4,3,5,1,7]=>[[1,2,5,7],[3],[4],[6]]=>10 [3,1,7,5,6,2,4]=>[3,7,5,1,6,2,4]=>[4,2,6,1,5,7,3]=>[[1,3,6],[2,5],[4,7]]=>10 [3,1,7,5,6,4,2]=>[5,7,6,1,3,4,2]=>[2,4,3,1,6,7,5]=>[[1,2,5,6],[3,7],[4]]=>11 [3,1,7,6,2,4,5]=>[1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1]=>[[1,4,5,6],[2],[3],[7]]=>9 [3,1,7,6,2,5,4]=>[3,7,6,1,5,2,4]=>[4,2,5,1,6,7,3]=>[[1,3,5,6],[2,7],[4]]=>10 [3,1,7,6,4,2,5]=>[3,7,6,1,4,2,5]=>[5,2,4,1,6,7,3]=>[[1,3,5,6],[2,7],[4]]=>10 [3,1,7,6,4,5,2]=>[1,7,6,3,4,5,2]=>[2,5,4,3,6,7,1]=>[[1,2,5,6],[3],[4],[7]]=>11 [3,1,7,6,5,2,4]=>[7,6,3,1,5,2,4]=>[4,2,5,1,3,6,7]=>[[1,3,6,7],[2,5],[4]]=>11 [3,1,7,6,5,4,2]=>[7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>12 [3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]=>[[1,6,7],[2],[3],[4],[5]]=>3 [3,2,1,4,5,7,6]=>[3,2,7,1,4,5,6]=>[6,5,4,1,7,2,3]=>[[1,5,7],[2,6],[3],[4]]=>4 [3,2,1,4,6,5,7]=>[3,2,6,1,4,5,7]=>[7,5,4,1,6,2,3]=>[[1,5,7],[2,6],[3],[4]]=>4 [3,2,1,4,6,7,5]=>[3,2,6,7,1,4,5]=>[5,4,1,7,6,2,3]=>[[1,4,7],[2,5],[3,6]]=>5 [3,2,1,4,7,5,6]=>[3,7,2,1,4,5,6]=>[6,5,4,1,2,7,3]=>[[1,5,6],[2,7],[3],[4]]=>5 [3,2,1,4,7,6,5]=>[3,7,2,6,1,4,5]=>[5,4,1,6,2,7,3]=>[[1,4,6],[2,5,7],[3]]=>6 [3,2,1,5,4,6,7]=>[3,2,5,1,4,6,7]=>[7,6,4,1,5,2,3]=>[[1,5,7],[2,6],[3],[4]]=>4 [3,2,1,5,4,7,6]=>[3,2,5,7,1,4,6]=>[6,4,1,7,5,2,3]=>[[1,4,7],[2,5],[3,6]]=>5 [3,2,1,5,6,4,7]=>[3,2,5,6,1,4,7]=>[7,4,1,6,5,2,3]=>[[1,4,7],[2,5],[3],[6]]=>5 [3,2,1,5,6,7,4]=>[3,2,5,6,7,1,4]=>[4,1,7,6,5,2,3]=>[[1,3,7],[2,4],[5],[6]]=>6 [3,2,1,5,7,4,6]=>[3,7,2,5,1,4,6]=>[6,4,1,5,2,7,3]=>[[1,4,6],[2,5,7],[3]]=>6 [3,2,1,5,7,6,4]=>[3,7,2,5,6,1,4]=>[4,1,6,5,2,7,3]=>[[1,3,6],[2,4,7],[5]]=>7 [3,2,1,6,4,5,7]=>[3,6,2,1,4,5,7]=>[7,5,4,1,2,6,3]=>[[1,5,6],[2,7],[3],[4]]=>5 [3,2,1,6,4,7,5]=>[3,6,2,7,1,4,5]=>[5,4,1,7,2,6,3]=>[[1,4,6],[2,5],[3,7]]=>6 [3,2,1,6,5,4,7]=>[3,6,2,5,1,4,7]=>[7,4,1,5,2,6,3]=>[[1,4,6],[2,5,7],[3]]=>6 [3,2,1,6,5,7,4]=>[3,6,2,5,7,1,4]=>[4,1,7,5,2,6,3]=>[[1,3,6],[2,4,7],[5]]=>7 [3,2,1,6,7,4,5]=>[3,6,7,2,1,4,5]=>[5,4,1,2,7,6,3]=>[[1,4,5],[2,6],[3,7]]=>7 [3,2,1,6,7,5,4]=>[3,6,7,2,5,1,4]=>[4,1,5,2,7,6,3]=>[[1,3,5],[2,4,6],[7]]=>8 [3,2,1,7,4,5,6]=>[7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7]=>[[1,5,6,7],[2],[3],[4]]=>6 [3,2,1,7,4,6,5]=>[7,3,2,6,1,4,5]=>[5,4,1,6,2,3,7]=>[[1,4,6,7],[2,5],[3]]=>7 [3,2,1,7,5,4,6]=>[7,3,2,5,1,4,6]=>[6,4,1,5,2,3,7]=>[[1,4,6,7],[2,5],[3]]=>7 [3,2,1,7,5,6,4]=>[7,3,2,5,6,1,4]=>[4,1,6,5,2,3,7]=>[[1,3,6,7],[2,4],[5]]=>8 [3,2,1,7,6,4,5]=>[7,3,6,2,1,4,5]=>[5,4,1,2,6,3,7]=>[[1,4,5,7],[2,6],[3]]=>8 [3,2,1,7,6,5,4]=>[7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7]=>[[1,3,5,7],[2,4,6]]=>9 [3,2,4,1,5,6,7]=>[3,2,4,1,5,6,7]=>[7,6,5,1,4,2,3]=>[[1,5,7],[2],[3],[4],[6]]=>4 [3,2,4,1,5,7,6]=>[3,2,4,7,1,5,6]=>[6,5,1,7,4,2,3]=>[[1,4,7],[2,5],[3],[6]]=>5 [3,2,4,1,6,5,7]=>[3,2,4,6,1,5,7]=>[7,5,1,6,4,2,3]=>[[1,4,7],[2,5],[3],[6]]=>5 [3,2,4,1,6,7,5]=>[3,2,4,6,7,1,5]=>[5,1,7,6,4,2,3]=>[[1,3,7],[2,4],[5],[6]]=>6 [3,2,4,1,7,5,6]=>[3,7,2,4,1,5,6]=>[6,5,1,4,2,7,3]=>[[1,4,6],[2,7],[3],[5]]=>6 [3,2,4,1,7,6,5]=>[3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3]=>[[1,3,6],[2,4,7],[5]]=>7 [3,2,4,5,1,6,7]=>[3,2,4,5,1,6,7]=>[7,6,1,5,4,2,3]=>[[1,4,7],[2],[3],[5],[6]]=>5 [3,2,4,5,1,7,6]=>[3,2,4,5,7,1,6]=>[6,1,7,5,4,2,3]=>[[1,3,7],[2,4],[5],[6]]=>6 [3,2,4,5,6,1,7]=>[3,2,4,5,6,1,7]=>[7,1,6,5,4,2,3]=>[[1,3,7],[2],[4],[5],[6]]=>6 [3,2,4,5,6,7,1]=>[3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3]=>[[1,2,7],[3],[4],[5],[6]]=>7 [3,2,4,5,7,1,6]=>[3,7,2,4,5,1,6]=>[6,1,5,4,2,7,3]=>[[1,3,6],[2,7],[4],[5]]=>7 [3,2,4,5,7,6,1]=>[3,7,2,4,5,6,1]=>[1,6,5,4,2,7,3]=>[[1,2,6],[3,7],[4],[5]]=>8 [3,2,4,6,1,5,7]=>[3,6,2,4,1,5,7]=>[7,5,1,4,2,6,3]=>[[1,4,6],[2,7],[3],[5]]=>6 [3,2,4,6,1,7,5]=>[3,6,2,4,7,1,5]=>[5,1,7,4,2,6,3]=>[[1,3,6],[2,4],[5,7]]=>7 [3,2,4,6,5,1,7]=>[3,6,2,4,5,1,7]=>[7,1,5,4,2,6,3]=>[[1,3,6],[2,7],[4],[5]]=>7 [3,2,4,6,5,7,1]=>[3,6,2,4,5,7,1]=>[1,7,5,4,2,6,3]=>[[1,2,6],[3,7],[4],[5]]=>8 [3,2,4,6,7,1,5]=>[3,6,7,2,4,1,5]=>[5,1,4,2,7,6,3]=>[[1,3,5],[2,6],[4,7]]=>8 [3,2,4,6,7,5,1]=>[3,6,7,2,4,5,1]=>[1,5,4,2,7,6,3]=>[[1,2,5],[3,6],[4,7]]=>9 [3,2,4,7,1,5,6]=>[7,3,2,4,1,5,6]=>[6,5,1,4,2,3,7]=>[[1,4,6,7],[2],[3],[5]]=>7 [3,2,4,7,1,6,5]=>[7,3,2,4,6,1,5]=>[5,1,6,4,2,3,7]=>[[1,3,6,7],[2,4],[5]]=>8 [3,2,4,7,5,1,6]=>[7,3,2,4,5,1,6]=>[6,1,5,4,2,3,7]=>[[1,3,6,7],[2],[4],[5]]=>8 [3,2,4,7,5,6,1]=>[7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>[[1,2,6,7],[3],[4],[5]]=>9 [3,2,4,7,6,1,5]=>[7,3,6,2,4,1,5]=>[5,1,4,2,6,3,7]=>[[1,3,5,7],[2,6],[4]]=>9 [3,2,4,7,6,5,1]=>[7,3,6,2,4,5,1]=>[1,5,4,2,6,3,7]=>[[1,2,5,7],[3,6],[4]]=>10 [3,2,5,1,4,6,7]=>[3,5,2,1,4,6,7]=>[7,6,4,1,2,5,3]=>[[1,5,6],[2,7],[3],[4]]=>5 [3,2,5,1,4,7,6]=>[3,5,2,7,1,4,6]=>[6,4,1,7,2,5,3]=>[[1,4,6],[2,5],[3,7]]=>6 [3,2,5,1,6,4,7]=>[3,5,2,6,1,4,7]=>[7,4,1,6,2,5,3]=>[[1,4,6],[2,5],[3],[7]]=>6 [3,2,5,1,6,7,4]=>[3,5,2,6,7,1,4]=>[4,1,7,6,2,5,3]=>[[1,3,6],[2,4],[5],[7]]=>7 [3,2,5,1,7,4,6]=>[3,5,7,2,1,4,6]=>[6,4,1,2,7,5,3]=>[[1,4,5],[2,6],[3,7]]=>7 [3,2,5,1,7,6,4]=>[3,5,7,2,6,1,4]=>[4,1,6,2,7,5,3]=>[[1,3,5],[2,4,6],[7]]=>8 [3,2,5,4,1,6,7]=>[3,5,2,4,1,6,7]=>[7,6,1,4,2,5,3]=>[[1,4,6],[2,7],[3],[5]]=>6 [3,2,5,4,1,7,6]=>[3,5,2,4,7,1,6]=>[6,1,7,4,2,5,3]=>[[1,3,6],[2,4],[5,7]]=>7 [3,2,5,4,6,1,7]=>[3,5,2,4,6,1,7]=>[7,1,6,4,2,5,3]=>[[1,3,6],[2,7],[4],[5]]=>7 [3,2,5,4,6,7,1]=>[3,5,2,4,6,7,1]=>[1,7,6,4,2,5,3]=>[[1,2,6],[3,7],[4],[5]]=>8 [3,2,5,4,7,1,6]=>[3,5,7,2,4,1,6]=>[6,1,4,2,7,5,3]=>[[1,3,5],[2,6],[4,7]]=>8 [3,2,5,4,7,6,1]=>[3,5,7,2,4,6,1]=>[1,6,4,2,7,5,3]=>[[1,2,5],[3,6],[4,7]]=>9 [3,2,5,6,1,4,7]=>[3,5,6,2,1,4,7]=>[7,4,1,2,6,5,3]=>[[1,4,5],[2,6],[3],[7]]=>7 [3,2,5,6,1,7,4]=>[3,5,6,2,7,1,4]=>[4,1,7,2,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>8 [3,2,5,6,4,1,7]=>[3,5,6,2,4,1,7]=>[7,1,4,2,6,5,3]=>[[1,3,5],[2,6],[4],[7]]=>8 [3,2,5,6,4,7,1]=>[3,5,6,2,4,7,1]=>[1,7,4,2,6,5,3]=>[[1,2,5],[3,6],[4],[7]]=>9 [3,2,5,6,7,1,4]=>[3,5,6,7,2,1,4]=>[4,1,2,7,6,5,3]=>[[1,3,4],[2,5],[6],[7]]=>9 [3,2,5,6,7,4,1]=>[3,5,6,7,2,4,1]=>[1,4,2,7,6,5,3]=>[[1,2,4],[3,5],[6],[7]]=>10 [3,2,5,7,1,4,6]=>[7,3,5,2,1,4,6]=>[6,4,1,2,5,3,7]=>[[1,4,5,7],[2,6],[3]]=>8 [3,2,5,7,1,6,4]=>[7,3,5,2,6,1,4]=>[4,1,6,2,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>9 [3,2,5,7,4,1,6]=>[7,3,5,2,4,1,6]=>[6,1,4,2,5,3,7]=>[[1,3,5,7],[2,6],[4]]=>9 [3,2,5,7,4,6,1]=>[7,3,5,2,4,6,1]=>[1,6,4,2,5,3,7]=>[[1,2,5,7],[3,6],[4]]=>10 [3,2,5,7,6,1,4]=>[7,3,5,6,2,1,4]=>[4,1,2,6,5,3,7]=>[[1,3,4,7],[2,5],[6]]=>10 [3,2,5,7,6,4,1]=>[7,3,5,6,2,4,1]=>[1,4,2,6,5,3,7]=>[[1,2,4,7],[3,5],[6]]=>11 [3,2,6,1,4,5,7]=>[6,3,2,1,4,5,7]=>[7,5,4,1,2,3,6]=>[[1,5,6,7],[2],[3],[4]]=>6 [3,2,6,1,4,7,5]=>[6,3,2,7,1,4,5]=>[5,4,1,7,2,3,6]=>[[1,4,6,7],[2,5],[3]]=>7 [3,2,6,1,5,4,7]=>[6,3,2,5,1,4,7]=>[7,4,1,5,2,3,6]=>[[1,4,6,7],[2,5],[3]]=>7 [3,2,6,1,5,7,4]=>[6,3,2,5,7,1,4]=>[4,1,7,5,2,3,6]=>[[1,3,6,7],[2,4],[5]]=>8 [3,2,6,1,7,4,5]=>[6,3,7,2,1,4,5]=>[5,4,1,2,7,3,6]=>[[1,4,5,7],[2,6],[3]]=>8 [3,2,6,1,7,5,4]=>[6,3,7,2,5,1,4]=>[4,1,5,2,7,3,6]=>[[1,3,5,7],[2,4,6]]=>9 [3,2,6,4,1,5,7]=>[6,3,2,4,1,5,7]=>[7,5,1,4,2,3,6]=>[[1,4,6,7],[2],[3],[5]]=>7 [3,2,6,4,1,7,5]=>[6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6]=>[[1,3,6,7],[2,4],[5]]=>8 [3,2,6,4,5,1,7]=>[6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6]=>[[1,3,6,7],[2],[4],[5]]=>8 [3,2,6,4,5,7,1]=>[6,3,2,4,5,7,1]=>[1,7,5,4,2,3,6]=>[[1,2,6,7],[3],[4],[5]]=>9 [3,2,6,4,7,1,5]=>[6,3,7,2,4,1,5]=>[5,1,4,2,7,3,6]=>[[1,3,5,7],[2,6],[4]]=>9 [3,2,6,4,7,5,1]=>[6,3,7,2,4,5,1]=>[1,5,4,2,7,3,6]=>[[1,2,5,7],[3,6],[4]]=>10 [3,2,6,5,1,4,7]=>[6,3,5,2,1,4,7]=>[7,4,1,2,5,3,6]=>[[1,4,5,7],[2,6],[3]]=>8 [3,2,6,5,1,7,4]=>[6,3,5,2,7,1,4]=>[4,1,7,2,5,3,6]=>[[1,3,5,7],[2,4],[6]]=>9 [3,2,6,5,4,1,7]=>[6,3,5,2,4,1,7]=>[7,1,4,2,5,3,6]=>[[1,3,5,7],[2,6],[4]]=>9 [3,2,6,5,4,7,1]=>[6,3,5,2,4,7,1]=>[1,7,4,2,5,3,6]=>[[1,2,5,7],[3,6],[4]]=>10 [3,2,6,5,7,1,4]=>[6,3,5,7,2,1,4]=>[4,1,2,7,5,3,6]=>[[1,3,4,7],[2,5],[6]]=>10 [3,2,6,5,7,4,1]=>[6,3,5,7,2,4,1]=>[1,4,2,7,5,3,6]=>[[1,2,4,7],[3,5],[6]]=>11 [3,2,6,7,1,4,5]=>[6,7,3,2,1,4,5]=>[5,4,1,2,3,7,6]=>[[1,4,5,6],[2,7],[3]]=>9 [3,2,6,7,1,5,4]=>[6,7,3,2,5,1,4]=>[4,1,5,2,3,7,6]=>[[1,3,5,6],[2,4,7]]=>10 [3,2,6,7,4,1,5]=>[6,7,3,2,4,1,5]=>[5,1,4,2,3,7,6]=>[[1,3,5,6],[2,7],[4]]=>10 [3,2,6,7,4,5,1]=>[6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6]=>[[1,2,5,6],[3,7],[4]]=>11 [3,2,6,7,5,1,4]=>[6,7,3,5,2,1,4]=>[4,1,2,5,3,7,6]=>[[1,3,4,6],[2,5,7]]=>11 [3,2,6,7,5,4,1]=>[6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6]=>[[1,2,4,6],[3,5,7]]=>12 [3,2,7,1,4,5,6]=>[3,2,1,7,4,5,6]=>[6,5,4,7,1,2,3]=>[[1,4,7],[2,6],[3],[5]]=>7 [3,2,7,1,4,6,5]=>[3,2,7,6,1,4,5]=>[5,4,1,6,7,2,3]=>[[1,4,5],[2,6,7],[3]]=>8 [3,2,7,1,5,4,6]=>[3,2,7,5,1,4,6]=>[6,4,1,5,7,2,3]=>[[1,4,5],[2,6,7],[3]]=>8 [3,2,7,1,5,6,4]=>[3,2,7,5,6,1,4]=>[4,1,6,5,7,2,3]=>[[1,3,5],[2,4,7],[6]]=>9 [3,2,7,1,6,4,5]=>[3,7,6,2,1,4,5]=>[5,4,1,2,6,7,3]=>[[1,4,5,6],[2,7],[3]]=>9 [3,2,7,1,6,5,4]=>[3,7,6,2,5,1,4]=>[4,1,5,2,6,7,3]=>[[1,3,5,6],[2,4,7]]=>10 [3,2,7,4,1,5,6]=>[3,2,7,4,1,5,6]=>[6,5,1,4,7,2,3]=>[[1,4,5],[2,7],[3],[6]]=>8 [3,2,7,4,1,6,5]=>[3,2,7,4,6,1,5]=>[5,1,6,4,7,2,3]=>[[1,3,5],[2,4,7],[6]]=>9 [3,2,7,4,5,1,6]=>[3,2,7,4,5,1,6]=>[6,1,5,4,7,2,3]=>[[1,3,5],[2,7],[4],[6]]=>9 [3,2,7,4,5,6,1]=>[3,2,7,4,5,6,1]=>[1,6,5,4,7,2,3]=>[[1,2,5],[3,7],[4],[6]]=>10 [3,2,7,4,6,1,5]=>[3,7,6,2,4,1,5]=>[5,1,4,2,6,7,3]=>[[1,3,5,6],[2,7],[4]]=>10 [3,2,7,4,6,5,1]=>[3,7,6,2,4,5,1]=>[1,5,4,2,6,7,3]=>[[1,2,5,6],[3,7],[4]]=>11 [3,2,7,5,1,4,6]=>[3,7,5,2,1,4,6]=>[6,4,1,2,5,7,3]=>[[1,4,5,6],[2,7],[3]]=>9 [3,2,7,5,1,6,4]=>[3,7,5,2,6,1,4]=>[4,1,6,2,5,7,3]=>[[1,3,5,6],[2,4],[7]]=>10 [3,2,7,5,4,1,6]=>[3,7,5,2,4,1,6]=>[6,1,4,2,5,7,3]=>[[1,3,5,6],[2,7],[4]]=>10 [3,2,7,5,4,6,1]=>[3,7,5,2,4,6,1]=>[1,6,4,2,5,7,3]=>[[1,2,5,6],[3,7],[4]]=>11 [3,2,7,5,6,1,4]=>[3,7,5,6,2,1,4]=>[4,1,2,6,5,7,3]=>[[1,3,4,6],[2,5],[7]]=>11 [3,2,7,5,6,4,1]=>[3,7,5,6,2,4,1]=>[1,4,2,6,5,7,3]=>[[1,2,4,6],[3,5],[7]]=>12 [3,2,7,6,1,4,5]=>[7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7]=>[[1,4,5,6,7],[2],[3]]=>10 [3,2,7,6,1,5,4]=>[7,6,3,2,5,1,4]=>[4,1,5,2,3,6,7]=>[[1,3,5,6,7],[2,4]]=>11 [3,2,7,6,4,1,5]=>[7,6,3,2,4,1,5]=>[5,1,4,2,3,6,7]=>[[1,3,5,6,7],[2],[4]]=>11 [3,2,7,6,4,5,1]=>[7,6,3,2,4,5,1]=>[1,5,4,2,3,6,7]=>[[1,2,5,6,7],[3],[4]]=>12 [3,2,7,6,5,1,4]=>[7,6,3,5,2,1,4]=>[4,1,2,5,3,6,7]=>[[1,3,4,6,7],[2,5]]=>12 [3,2,7,6,5,4,1]=>[7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7]=>[[1,2,4,6,7],[3,5]]=>13 [3,4,1,2,5,6,7]=>[3,1,4,2,5,6,7]=>[7,6,5,2,4,1,3]=>[[1,5],[2,7],[3],[4],[6]]=>4 [3,4,1,2,5,7,6]=>[3,1,4,7,2,5,6]=>[6,5,2,7,4,1,3]=>[[1,4],[2,5],[3,7],[6]]=>5 [3,4,1,2,6,5,7]=>[3,1,4,6,2,5,7]=>[7,5,2,6,4,1,3]=>[[1,4],[2,5],[3,7],[6]]=>5 [3,4,1,2,6,7,5]=>[3,1,4,6,7,2,5]=>[5,2,7,6,4,1,3]=>[[1,3],[2,4],[5,7],[6]]=>6 [3,4,1,2,7,5,6]=>[3,4,1,7,2,5,6]=>[6,5,2,7,1,4,3]=>[[1,4],[2,6],[3,7],[5]]=>6 [3,4,1,2,7,6,5]=>[3,7,1,4,6,2,5]=>[5,2,6,4,1,7,3]=>[[1,3,6],[2,4],[5,7]]=>7 [3,4,1,5,2,6,7]=>[3,1,4,5,2,6,7]=>[7,6,2,5,4,1,3]=>[[1,4],[2,7],[3],[5],[6]]=>5 [3,4,1,5,2,7,6]=>[3,1,4,5,7,2,6]=>[6,2,7,5,4,1,3]=>[[1,3],[2,4],[5,7],[6]]=>6 [3,4,1,5,6,2,7]=>[3,1,4,5,6,2,7]=>[7,2,6,5,4,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>6 [3,4,1,5,6,7,2]=>[3,1,4,5,6,7,2]=>[2,7,6,5,4,1,3]=>[[1,2],[3,7],[4],[5],[6]]=>7 [3,4,1,5,7,2,6]=>[3,7,1,4,5,2,6]=>[6,2,5,4,1,7,3]=>[[1,3,6],[2,7],[4],[5]]=>7 [3,4,1,5,7,6,2]=>[3,7,1,4,5,6,2]=>[2,6,5,4,1,7,3]=>[[1,2,6],[3,7],[4],[5]]=>8 [3,4,1,6,2,5,7]=>[3,4,1,6,2,5,7]=>[7,5,2,6,1,4,3]=>[[1,4],[2,6],[3,7],[5]]=>6 [3,4,1,6,2,7,5]=>[3,4,1,6,7,2,5]=>[5,2,7,6,1,4,3]=>[[1,3],[2,4],[5,6],[7]]=>7 [3,4,1,6,5,2,7]=>[3,6,1,4,5,2,7]=>[7,2,5,4,1,6,3]=>[[1,3,6],[2,7],[4],[5]]=>7 [3,4,1,6,5,7,2]=>[3,6,1,4,5,7,2]=>[2,7,5,4,1,6,3]=>[[1,2,6],[3,7],[4],[5]]=>8 [3,4,1,6,7,2,5]=>[3,4,6,1,7,2,5]=>[5,2,7,1,6,4,3]=>[[1,3],[2,5],[4,6],[7]]=>8 [3,4,1,6,7,5,2]=>[3,6,7,1,4,5,2]=>[2,5,4,1,7,6,3]=>[[1,2,5],[3,6],[4,7]]=>9 [3,4,1,7,2,5,6]=>[7,3,1,4,2,5,6]=>[6,5,2,4,1,3,7]=>[[1,4,7],[2,6],[3],[5]]=>7 [3,4,1,7,2,6,5]=>[3,4,7,1,6,2,5]=>[5,2,6,1,7,4,3]=>[[1,3,5],[2,6],[4,7]]=>8 [3,4,1,7,5,2,6]=>[3,4,7,1,5,2,6]=>[6,2,5,1,7,4,3]=>[[1,3,5],[2,6],[4],[7]]=>8 [3,4,1,7,5,6,2]=>[7,3,1,4,5,6,2]=>[2,6,5,4,1,3,7]=>[[1,2,7],[3,6],[4],[5]]=>9 [3,4,1,7,6,2,5]=>[7,3,4,1,6,2,5]=>[5,2,6,1,4,3,7]=>[[1,3,7],[2,5],[4,6]]=>9 [3,4,1,7,6,5,2]=>[7,3,6,1,4,5,2]=>[2,5,4,1,6,3,7]=>[[1,2,5,7],[3,6],[4]]=>10 [3,4,2,1,5,6,7]=>[3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3]=>[[1,5,6],[2],[3],[4],[7]]=>5 [3,4,2,1,5,7,6]=>[3,4,2,7,1,5,6]=>[6,5,1,7,2,4,3]=>[[1,4,6],[2,5],[3],[7]]=>6 [3,4,2,1,6,5,7]=>[3,4,2,6,1,5,7]=>[7,5,1,6,2,4,3]=>[[1,4,6],[2,5],[3],[7]]=>6 [3,4,2,1,6,7,5]=>[3,4,2,6,7,1,5]=>[5,1,7,6,2,4,3]=>[[1,3,6],[2,4],[5],[7]]=>7 [3,4,2,1,7,5,6]=>[3,4,7,2,1,5,6]=>[6,5,1,2,7,4,3]=>[[1,4,5],[2,6],[3],[7]]=>7 [3,4,2,1,7,6,5]=>[3,4,7,2,6,1,5]=>[5,1,6,2,7,4,3]=>[[1,3,5],[2,4,6],[7]]=>8 [3,4,2,5,1,6,7]=>[3,4,2,5,1,6,7]=>[7,6,1,5,2,4,3]=>[[1,4,6],[2],[3],[5],[7]]=>6 [3,4,2,5,1,7,6]=>[3,4,2,5,7,1,6]=>[6,1,7,5,2,4,3]=>[[1,3,6],[2,4],[5],[7]]=>7 [3,4,2,5,6,1,7]=>[3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3]=>[[1,3,6],[2],[4],[5],[7]]=>7 [3,4,2,5,6,7,1]=>[3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3]=>[[1,2,6],[3],[4],[5],[7]]=>8 [3,4,2,5,7,1,6]=>[3,4,7,2,5,1,6]=>[6,1,5,2,7,4,3]=>[[1,3,5],[2,6],[4],[7]]=>8 [3,4,2,5,7,6,1]=>[3,4,7,2,5,6,1]=>[1,6,5,2,7,4,3]=>[[1,2,5],[3,6],[4],[7]]=>9 [3,4,2,6,1,5,7]=>[3,4,6,2,1,5,7]=>[7,5,1,2,6,4,3]=>[[1,4,5],[2,6],[3],[7]]=>7 [3,4,2,6,1,7,5]=>[3,4,6,2,7,1,5]=>[5,1,7,2,6,4,3]=>[[1,3,5],[2,4],[6],[7]]=>8 [3,4,2,6,5,1,7]=>[3,4,6,2,5,1,7]=>[7,1,5,2,6,4,3]=>[[1,3,5],[2,6],[4],[7]]=>8 [3,4,2,6,5,7,1]=>[3,4,6,2,5,7,1]=>[1,7,5,2,6,4,3]=>[[1,2,5],[3,6],[4],[7]]=>9 [3,4,2,6,7,1,5]=>[3,4,6,7,2,1,5]=>[5,1,2,7,6,4,3]=>[[1,3,4],[2,5],[6],[7]]=>9 [3,4,2,6,7,5,1]=>[3,4,6,7,2,5,1]=>[1,5,2,7,6,4,3]=>[[1,2,4],[3,5],[6],[7]]=>10 [3,4,2,7,1,5,6]=>[7,3,4,2,1,5,6]=>[6,5,1,2,4,3,7]=>[[1,4,5,7],[2],[3],[6]]=>8 [3,4,2,7,1,6,5]=>[7,3,4,2,6,1,5]=>[5,1,6,2,4,3,7]=>[[1,3,5,7],[2,4],[6]]=>9 [3,4,2,7,5,1,6]=>[7,3,4,2,5,1,6]=>[6,1,5,2,4,3,7]=>[[1,3,5,7],[2],[4],[6]]=>9 [3,4,2,7,5,6,1]=>[7,3,4,2,5,6,1]=>[1,6,5,2,4,3,7]=>[[1,2,5,7],[3],[4],[6]]=>10 [3,4,2,7,6,1,5]=>[7,3,4,6,2,1,5]=>[5,1,2,6,4,3,7]=>[[1,3,4,7],[2,5],[6]]=>10 [3,4,2,7,6,5,1]=>[7,3,4,6,2,5,1]=>[1,5,2,6,4,3,7]=>[[1,2,4,7],[3,5],[6]]=>11 [3,4,5,1,2,6,7]=>[3,4,1,5,2,6,7]=>[7,6,2,5,1,4,3]=>[[1,4],[2,6],[3],[5],[7]]=>6 [3,4,5,1,2,7,6]=>[3,4,1,5,7,2,6]=>[6,2,7,5,1,4,3]=>[[1,3],[2,4],[5,6],[7]]=>7 [3,4,5,1,6,2,7]=>[3,4,1,5,6,2,7]=>[7,2,6,5,1,4,3]=>[[1,3],[2,6],[4],[5],[7]]=>7 [3,4,5,1,6,7,2]=>[3,4,1,5,6,7,2]=>[2,7,6,5,1,4,3]=>[[1,2],[3,6],[4],[5],[7]]=>8 [3,4,5,1,7,2,6]=>[3,4,5,1,7,2,6]=>[6,2,7,1,5,4,3]=>[[1,3],[2,5],[4,6],[7]]=>8 [3,4,5,1,7,6,2]=>[3,4,7,1,5,6,2]=>[2,6,5,1,7,4,3]=>[[1,2,5],[3,6],[4],[7]]=>9 [3,4,5,2,1,6,7]=>[3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3]=>[[1,4,5],[2],[3],[6],[7]]=>7 [3,4,5,2,1,7,6]=>[3,4,5,2,7,1,6]=>[6,1,7,2,5,4,3]=>[[1,3,5],[2,4],[6],[7]]=>8 [3,4,5,2,6,1,7]=>[3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3]=>[[1,3,5],[2],[4],[6],[7]]=>8 [3,4,5,2,6,7,1]=>[3,4,5,2,6,7,1]=>[1,7,6,2,5,4,3]=>[[1,2,5],[3],[4],[6],[7]]=>9 [3,4,5,2,7,1,6]=>[3,4,5,7,2,1,6]=>[6,1,2,7,5,4,3]=>[[1,3,4],[2,5],[6],[7]]=>9 [3,4,5,2,7,6,1]=>[3,4,5,7,2,6,1]=>[1,6,2,7,5,4,3]=>[[1,2,4],[3,5],[6],[7]]=>10 [3,4,5,6,1,2,7]=>[3,4,5,1,6,2,7]=>[7,2,6,1,5,4,3]=>[[1,3],[2,5],[4],[6],[7]]=>8 [3,4,5,6,1,7,2]=>[3,4,5,1,6,7,2]=>[2,7,6,1,5,4,3]=>[[1,2],[3,5],[4],[6],[7]]=>9 [3,4,5,6,2,1,7]=>[3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3]=>[[1,3,4],[2],[5],[6],[7]]=>9 [3,4,5,6,2,7,1]=>[3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3]=>[[1,2,4],[3],[5],[6],[7]]=>10 [3,4,5,6,7,1,2]=>[3,4,5,6,1,7,2]=>[2,7,1,6,5,4,3]=>[[1,2],[3,4],[5],[6],[7]]=>10 [3,4,5,6,7,2,1]=>[3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>11 [3,4,5,7,1,2,6]=>[7,3,4,1,5,2,6]=>[6,2,5,1,4,3,7]=>[[1,3,7],[2,5],[4],[6]]=>9 [3,4,5,7,1,6,2]=>[3,4,5,7,1,6,2]=>[2,6,1,7,5,4,3]=>[[1,2,4],[3,5],[6],[7]]=>10 [3,4,5,7,2,1,6]=>[7,3,4,5,2,1,6]=>[6,1,2,5,4,3,7]=>[[1,3,4,7],[2],[5],[6]]=>10 [3,4,5,7,2,6,1]=>[7,3,4,5,2,6,1]=>[1,6,2,5,4,3,7]=>[[1,2,4,7],[3],[5],[6]]=>11 [3,4,5,7,6,1,2]=>[7,3,4,5,1,6,2]=>[2,6,1,5,4,3,7]=>[[1,2,7],[3,4],[5],[6]]=>11 [3,4,5,7,6,2,1]=>[7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7]=>[[1,2,3,7],[4],[5],[6]]=>12 [3,4,6,1,2,5,7]=>[6,3,1,4,2,5,7]=>[7,5,2,4,1,3,6]=>[[1,4,7],[2,6],[3],[5]]=>7 [3,4,6,1,2,7,5]=>[6,3,1,4,7,2,5]=>[5,2,7,4,1,3,6]=>[[1,3,7],[2,4],[5,6]]=>8 [3,4,6,1,5,2,7]=>[3,4,6,1,5,2,7]=>[7,2,5,1,6,4,3]=>[[1,3,5],[2,6],[4],[7]]=>8 [3,4,6,1,5,7,2]=>[3,4,6,1,5,7,2]=>[2,7,5,1,6,4,3]=>[[1,2,5],[3,6],[4],[7]]=>9 [3,4,6,1,7,2,5]=>[6,3,4,1,7,2,5]=>[5,2,7,1,4,3,6]=>[[1,3,7],[2,5],[4,6]]=>9 [3,4,6,1,7,5,2]=>[3,4,6,7,1,5,2]=>[2,5,1,7,6,4,3]=>[[1,2,4],[3,5],[6],[7]]=>10 [3,4,6,2,1,5,7]=>[6,3,4,2,1,5,7]=>[7,5,1,2,4,3,6]=>[[1,4,5,7],[2],[3],[6]]=>8 [3,4,6,2,1,7,5]=>[6,3,4,2,7,1,5]=>[5,1,7,2,4,3,6]=>[[1,3,5,7],[2,4],[6]]=>9 [3,4,6,2,5,1,7]=>[6,3,4,2,5,1,7]=>[7,1,5,2,4,3,6]=>[[1,3,5,7],[2],[4],[6]]=>9 [3,4,6,2,5,7,1]=>[6,3,4,2,5,7,1]=>[1,7,5,2,4,3,6]=>[[1,2,5,7],[3],[4],[6]]=>10 [3,4,6,2,7,1,5]=>[6,3,4,7,2,1,5]=>[5,1,2,7,4,3,6]=>[[1,3,4,7],[2,5],[6]]=>10 [3,4,6,2,7,5,1]=>[6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6]=>[[1,2,4,7],[3,5],[6]]=>11 [3,4,6,5,1,2,7]=>[6,3,4,1,5,2,7]=>[7,2,5,1,4,3,6]=>[[1,3,7],[2,5],[4],[6]]=>9 [3,4,6,5,1,7,2]=>[6,3,4,1,5,7,2]=>[2,7,5,1,4,3,6]=>[[1,2,7],[3,5],[4],[6]]=>10 [3,4,6,5,2,1,7]=>[6,3,4,5,2,1,7]=>[7,1,2,5,4,3,6]=>[[1,3,4,7],[2],[5],[6]]=>10 [3,4,6,5,2,7,1]=>[6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6]=>[[1,2,4,7],[3],[5],[6]]=>11 [3,4,6,5,7,1,2]=>[6,3,4,5,1,7,2]=>[2,7,1,5,4,3,6]=>[[1,2,7],[3,4],[5],[6]]=>11 [3,4,6,5,7,2,1]=>[6,3,4,5,7,2,1]=>[1,2,7,5,4,3,6]=>[[1,2,3,7],[4],[5],[6]]=>12 [3,4,6,7,1,2,5]=>[6,7,3,1,4,2,5]=>[5,2,4,1,3,7,6]=>[[1,3,6],[2,5,7],[4]]=>10 [3,4,6,7,1,5,2]=>[6,3,4,7,1,5,2]=>[2,5,1,7,4,3,6]=>[[1,2,4],[3,5,7],[6]]=>11 [3,4,6,7,2,1,5]=>[6,7,3,4,2,1,5]=>[5,1,2,4,3,7,6]=>[[1,3,4,6],[2,7],[5]]=>11 [3,4,6,7,2,5,1]=>[6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6]=>[[1,2,4,6],[3,7],[5]]=>12 [3,4,6,7,5,1,2]=>[6,7,3,4,1,5,2]=>[2,5,1,4,3,7,6]=>[[1,2,6],[3,4,7],[5]]=>12 [3,4,6,7,5,2,1]=>[6,7,3,4,5,2,1]=>[1,2,5,4,3,7,6]=>[[1,2,3,6],[4,7],[5]]=>13 [3,4,7,1,2,5,6]=>[3,1,7,4,2,5,6]=>[6,5,2,4,7,1,3]=>[[1,4,5],[2,7],[3],[6]]=>8 [3,4,7,1,2,6,5]=>[3,1,7,4,6,2,5]=>[5,2,6,4,7,1,3]=>[[1,3,5],[2,4],[6,7]]=>9 [3,4,7,1,5,2,6]=>[3,1,7,4,5,2,6]=>[6,2,5,4,7,1,3]=>[[1,3,5],[2,7],[4],[6]]=>9 [3,4,7,1,5,6,2]=>[7,3,4,1,5,6,2]=>[2,6,5,1,4,3,7]=>[[1,2,7],[3,5],[4],[6]]=>10 [3,4,7,1,6,2,5]=>[3,7,4,1,6,2,5]=>[5,2,6,1,4,7,3]=>[[1,3,6],[2,5],[4,7]]=>10 [3,4,7,1,6,5,2]=>[7,3,4,6,1,5,2]=>[2,5,1,6,4,3,7]=>[[1,2,4,7],[3,5],[6]]=>11 [3,4,7,2,1,5,6]=>[3,7,4,2,1,5,6]=>[6,5,1,2,4,7,3]=>[[1,4,5,6],[2],[3],[7]]=>9 [3,4,7,2,1,6,5]=>[3,7,4,2,6,1,5]=>[5,1,6,2,4,7,3]=>[[1,3,5,6],[2,4],[7]]=>10 [3,4,7,2,5,1,6]=>[3,7,4,2,5,1,6]=>[6,1,5,2,4,7,3]=>[[1,3,5,6],[2],[4],[7]]=>10 [3,4,7,2,5,6,1]=>[3,7,4,2,5,6,1]=>[1,6,5,2,4,7,3]=>[[1,2,5,6],[3],[4],[7]]=>11 [3,4,7,2,6,1,5]=>[3,7,4,6,2,1,5]=>[5,1,2,6,4,7,3]=>[[1,3,4,6],[2,5],[7]]=>11 [3,4,7,2,6,5,1]=>[3,7,4,6,2,5,1]=>[1,5,2,6,4,7,3]=>[[1,2,4,6],[3,5],[7]]=>12 [3,4,7,5,1,2,6]=>[3,7,4,1,5,2,6]=>[6,2,5,1,4,7,3]=>[[1,3,6],[2,5],[4],[7]]=>10 [3,4,7,5,1,6,2]=>[3,7,4,1,5,6,2]=>[2,6,5,1,4,7,3]=>[[1,2,6],[3,5],[4],[7]]=>11 [3,4,7,5,2,1,6]=>[3,7,4,5,2,1,6]=>[6,1,2,5,4,7,3]=>[[1,3,4,6],[2],[5],[7]]=>11 [3,4,7,5,2,6,1]=>[3,7,4,5,2,6,1]=>[1,6,2,5,4,7,3]=>[[1,2,4,6],[3],[5],[7]]=>12 [3,4,7,5,6,1,2]=>[3,7,4,5,1,6,2]=>[2,6,1,5,4,7,3]=>[[1,2,6],[3,4],[5],[7]]=>12 [3,4,7,5,6,2,1]=>[3,7,4,5,6,2,1]=>[1,2,6,5,4,7,3]=>[[1,2,3,6],[4],[5],[7]]=>13 [3,4,7,6,1,2,5]=>[7,6,3,1,4,2,5]=>[5,2,4,1,3,6,7]=>[[1,3,6,7],[2,5],[4]]=>11 [3,4,7,6,1,5,2]=>[3,7,4,6,1,5,2]=>[2,5,1,6,4,7,3]=>[[1,2,4,6],[3,5],[7]]=>12 [3,4,7,6,2,1,5]=>[7,6,3,4,2,1,5]=>[5,1,2,4,3,6,7]=>[[1,3,4,6,7],[2],[5]]=>12 [3,4,7,6,2,5,1]=>[7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7]=>[[1,2,4,6,7],[3],[5]]=>13 [3,4,7,6,5,1,2]=>[7,6,3,4,1,5,2]=>[2,5,1,4,3,6,7]=>[[1,2,6,7],[3,4],[5]]=>13 [3,4,7,6,5,2,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>14 [3,5,1,2,4,6,7]=>[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>[[1,5,6],[2],[3],[4],[7]]=>5 [3,5,1,2,4,7,6]=>[1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1]=>[[1,4,6],[2,5],[3],[7]]=>6 [3,5,1,2,6,4,7]=>[1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1]=>[[1,4,6],[2,5],[3],[7]]=>6 [3,5,1,2,6,7,4]=>[1,5,3,6,7,2,4]=>[4,2,7,6,3,5,1]=>[[1,3,6],[2,4],[5],[7]]=>7 [3,5,1,2,7,4,6]=>[5,3,1,7,2,4,6]=>[6,4,2,7,1,3,5]=>[[1,4,7],[2,6],[3],[5]]=>7 [3,5,1,2,7,6,4]=>[1,5,7,3,6,2,4]=>[4,2,6,3,7,5,1]=>[[1,3,5],[2,4,6],[7]]=>8 [3,5,1,4,2,6,7]=>[3,5,1,4,2,6,7]=>[7,6,2,4,1,5,3]=>[[1,4,6],[2,7],[3],[5]]=>6 [3,5,1,4,2,7,6]=>[3,5,1,4,7,2,6]=>[6,2,7,4,1,5,3]=>[[1,3,6],[2,4],[5,7]]=>7 [3,5,1,4,6,2,7]=>[3,5,1,4,6,2,7]=>[7,2,6,4,1,5,3]=>[[1,3,6],[2,7],[4],[5]]=>7 [3,5,1,4,6,7,2]=>[3,5,1,4,6,7,2]=>[2,7,6,4,1,5,3]=>[[1,2,6],[3,7],[4],[5]]=>8 [3,5,1,4,7,2,6]=>[3,5,7,1,4,2,6]=>[6,2,4,1,7,5,3]=>[[1,3,5],[2,6],[4,7]]=>8 [3,5,1,4,7,6,2]=>[3,5,7,1,4,6,2]=>[2,6,4,1,7,5,3]=>[[1,2,5],[3,6],[4,7]]=>9 [3,5,1,6,2,4,7]=>[5,3,1,6,2,4,7]=>[7,4,2,6,1,3,5]=>[[1,4,7],[2,6],[3],[5]]=>7 [3,5,1,6,2,7,4]=>[5,3,1,6,7,2,4]=>[4,2,7,6,1,3,5]=>[[1,3,7],[2,4],[5,6]]=>8 [3,5,1,6,4,2,7]=>[3,5,6,1,4,2,7]=>[7,2,4,1,6,5,3]=>[[1,3,5],[2,6],[4],[7]]=>8 [3,5,1,6,4,7,2]=>[3,5,6,1,4,7,2]=>[2,7,4,1,6,5,3]=>[[1,2,5],[3,6],[4],[7]]=>9 [3,5,1,6,7,2,4]=>[5,3,6,1,7,2,4]=>[4,2,7,1,6,3,5]=>[[1,3,7],[2,5],[4,6]]=>9 [3,5,1,6,7,4,2]=>[3,5,6,7,1,4,2]=>[2,4,1,7,6,5,3]=>[[1,2,4],[3,5],[6],[7]]=>10 [3,5,1,7,2,4,6]=>[5,1,7,3,2,4,6]=>[6,4,2,3,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>8 [3,5,1,7,2,6,4]=>[5,3,7,1,6,2,4]=>[4,2,6,1,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>9 [3,5,1,7,4,2,6]=>[5,3,7,1,4,2,6]=>[6,2,4,1,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>9 [3,5,1,7,4,6,2]=>[7,3,5,1,4,6,2]=>[2,6,4,1,5,3,7]=>[[1,2,5,7],[3,6],[4]]=>10 [3,5,1,7,6,2,4]=>[5,7,3,1,6,2,4]=>[4,2,6,1,3,7,5]=>[[1,3,6],[2,5,7],[4]]=>10 [3,5,1,7,6,4,2]=>[7,3,5,6,1,4,2]=>[2,4,1,6,5,3,7]=>[[1,2,4,7],[3,5],[6]]=>11 [3,5,2,1,4,6,7]=>[5,3,2,1,4,6,7]=>[7,6,4,1,2,3,5]=>[[1,5,6,7],[2],[3],[4]]=>6 [3,5,2,1,4,7,6]=>[5,3,2,7,1,4,6]=>[6,4,1,7,2,3,5]=>[[1,4,6,7],[2,5],[3]]=>7 [3,5,2,1,6,4,7]=>[5,3,2,6,1,4,7]=>[7,4,1,6,2,3,5]=>[[1,4,6,7],[2,5],[3]]=>7 [3,5,2,1,6,7,4]=>[5,3,2,6,7,1,4]=>[4,1,7,6,2,3,5]=>[[1,3,6,7],[2,4],[5]]=>8 [3,5,2,1,7,4,6]=>[5,3,7,2,1,4,6]=>[6,4,1,2,7,3,5]=>[[1,4,5,7],[2,6],[3]]=>8 [3,5,2,1,7,6,4]=>[5,3,7,2,6,1,4]=>[4,1,6,2,7,3,5]=>[[1,3,5,7],[2,4,6]]=>9 [3,5,2,4,1,6,7]=>[5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5]=>[[1,4,6,7],[2],[3],[5]]=>7 [3,5,2,4,1,7,6]=>[5,3,2,4,7,1,6]=>[6,1,7,4,2,3,5]=>[[1,3,6,7],[2,4],[5]]=>8 [3,5,2,4,6,1,7]=>[5,3,2,4,6,1,7]=>[7,1,6,4,2,3,5]=>[[1,3,6,7],[2],[4],[5]]=>8 [3,5,2,4,6,7,1]=>[5,3,2,4,6,7,1]=>[1,7,6,4,2,3,5]=>[[1,2,6,7],[3],[4],[5]]=>9 [3,5,2,4,7,1,6]=>[5,3,7,2,4,1,6]=>[6,1,4,2,7,3,5]=>[[1,3,5,7],[2,6],[4]]=>9 [3,5,2,4,7,6,1]=>[5,3,7,2,4,6,1]=>[1,6,4,2,7,3,5]=>[[1,2,5,7],[3,6],[4]]=>10 [3,5,2,6,1,4,7]=>[5,3,6,2,1,4,7]=>[7,4,1,2,6,3,5]=>[[1,4,5,7],[2,6],[3]]=>8 [3,5,2,6,1,7,4]=>[5,3,6,2,7,1,4]=>[4,1,7,2,6,3,5]=>[[1,3,5,7],[2,4],[6]]=>9 [3,5,2,6,4,1,7]=>[5,3,6,2,4,1,7]=>[7,1,4,2,6,3,5]=>[[1,3,5,7],[2,6],[4]]=>9 [3,5,2,6,4,7,1]=>[5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5]=>[[1,2,5,7],[3,6],[4]]=>10 [3,5,2,6,7,1,4]=>[5,3,6,7,2,1,4]=>[4,1,2,7,6,3,5]=>[[1,3,4,7],[2,5],[6]]=>10 [3,5,2,6,7,4,1]=>[5,3,6,7,2,4,1]=>[1,4,2,7,6,3,5]=>[[1,2,4,7],[3,5],[6]]=>11 [3,5,2,7,1,4,6]=>[5,7,3,2,1,4,6]=>[6,4,1,2,3,7,5]=>[[1,4,5,6],[2,7],[3]]=>9 [3,5,2,7,1,6,4]=>[5,7,3,2,6,1,4]=>[4,1,6,2,3,7,5]=>[[1,3,5,6],[2,4,7]]=>10 [3,5,2,7,4,1,6]=>[5,7,3,2,4,1,6]=>[6,1,4,2,3,7,5]=>[[1,3,5,6],[2,7],[4]]=>10 [3,5,2,7,4,6,1]=>[5,7,3,2,4,6,1]=>[1,6,4,2,3,7,5]=>[[1,2,5,6],[3,7],[4]]=>11 [3,5,2,7,6,1,4]=>[5,7,3,6,2,1,4]=>[4,1,2,6,3,7,5]=>[[1,3,4,6],[2,5,7]]=>11 [3,5,2,7,6,4,1]=>[5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5]=>[[1,2,4,6],[3,5,7]]=>12 [3,5,4,1,2,6,7]=>[5,3,1,4,2,6,7]=>[7,6,2,4,1,3,5]=>[[1,4,7],[2,6],[3],[5]]=>7 [3,5,4,1,2,7,6]=>[5,3,1,4,7,2,6]=>[6,2,7,4,1,3,5]=>[[1,3,7],[2,4],[5,6]]=>8 [3,5,4,1,6,2,7]=>[5,3,1,4,6,2,7]=>[7,2,6,4,1,3,5]=>[[1,3,7],[2,6],[4],[5]]=>8 [3,5,4,1,6,7,2]=>[5,3,1,4,6,7,2]=>[2,7,6,4,1,3,5]=>[[1,2,7],[3,6],[4],[5]]=>9 [3,5,4,1,7,2,6]=>[5,3,4,1,7,2,6]=>[6,2,7,1,4,3,5]=>[[1,3,7],[2,5],[4,6]]=>9 [3,5,4,1,7,6,2]=>[5,3,7,1,4,6,2]=>[2,6,4,1,7,3,5]=>[[1,2,5],[3,6,7],[4]]=>10 [3,5,4,2,1,6,7]=>[5,3,4,2,1,6,7]=>[7,6,1,2,4,3,5]=>[[1,4,5,7],[2],[3],[6]]=>8 [3,5,4,2,1,7,6]=>[5,3,4,2,7,1,6]=>[6,1,7,2,4,3,5]=>[[1,3,5,7],[2,4],[6]]=>9 [3,5,4,2,6,1,7]=>[5,3,4,2,6,1,7]=>[7,1,6,2,4,3,5]=>[[1,3,5,7],[2],[4],[6]]=>9 [3,5,4,2,6,7,1]=>[5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5]=>[[1,2,5,7],[3],[4],[6]]=>10 [3,5,4,2,7,1,6]=>[5,3,4,7,2,1,6]=>[6,1,2,7,4,3,5]=>[[1,3,4,7],[2,5],[6]]=>10 [3,5,4,2,7,6,1]=>[5,3,4,7,2,6,1]=>[1,6,2,7,4,3,5]=>[[1,2,4,7],[3,5],[6]]=>11 [3,5,4,6,1,2,7]=>[5,3,4,1,6,2,7]=>[7,2,6,1,4,3,5]=>[[1,3,7],[2,5],[4],[6]]=>9 [3,5,4,6,1,7,2]=>[5,3,4,1,6,7,2]=>[2,7,6,1,4,3,5]=>[[1,2,7],[3,5],[4],[6]]=>10 [3,5,4,6,2,1,7]=>[5,3,4,6,2,1,7]=>[7,1,2,6,4,3,5]=>[[1,3,4,7],[2],[5],[6]]=>10 [3,5,4,6,2,7,1]=>[5,3,4,6,2,7,1]=>[1,7,2,6,4,3,5]=>[[1,2,4,7],[3],[5],[6]]=>11 [3,5,4,6,7,1,2]=>[5,3,4,6,1,7,2]=>[2,7,1,6,4,3,5]=>[[1,2,7],[3,4],[5],[6]]=>11 [3,5,4,6,7,2,1]=>[5,3,4,6,7,2,1]=>[1,2,7,6,4,3,5]=>[[1,2,3,7],[4],[5],[6]]=>12 [3,5,4,7,1,2,6]=>[5,7,3,1,4,2,6]=>[6,2,4,1,3,7,5]=>[[1,3,6],[2,5,7],[4]]=>10 [3,5,4,7,1,6,2]=>[5,3,4,7,1,6,2]=>[2,6,1,7,4,3,5]=>[[1,2,4],[3,5,7],[6]]=>11 [3,5,4,7,2,1,6]=>[5,7,3,4,2,1,6]=>[6,1,2,4,3,7,5]=>[[1,3,4,6],[2,7],[5]]=>11 [3,5,4,7,2,6,1]=>[5,7,3,4,2,6,1]=>[1,6,2,4,3,7,5]=>[[1,2,4,6],[3,7],[5]]=>12 [3,5,4,7,6,1,2]=>[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[[1,2,6],[3,4,7],[5]]=>12 [3,5,4,7,6,2,1]=>[5,7,3,4,6,2,1]=>[1,2,6,4,3,7,5]=>[[1,2,3,6],[4,7],[5]]=>13 [3,5,6,1,2,4,7]=>[5,1,6,3,2,4,7]=>[7,4,2,3,6,1,5]=>[[1,4,5],[2,7],[3],[6]]=>8 [3,5,6,1,2,7,4]=>[5,1,6,3,7,2,4]=>[4,2,7,3,6,1,5]=>[[1,3,5],[2,4],[6,7]]=>9 [3,5,6,1,4,2,7]=>[5,3,6,1,4,2,7]=>[7,2,4,1,6,3,5]=>[[1,3,5],[2,6,7],[4]]=>9 [3,5,6,1,4,7,2]=>[5,3,6,1,4,7,2]=>[2,7,4,1,6,3,5]=>[[1,2,5],[3,6,7],[4]]=>10 [3,5,6,1,7,2,4]=>[5,6,3,1,7,2,4]=>[4,2,7,1,3,6,5]=>[[1,3,6],[2,5],[4,7]]=>10 [3,5,6,1,7,4,2]=>[5,3,6,7,1,4,2]=>[2,4,1,7,6,3,5]=>[[1,2,4],[3,5,7],[6]]=>11 [3,5,6,2,1,4,7]=>[5,6,3,2,1,4,7]=>[7,4,1,2,3,6,5]=>[[1,4,5,6],[2,7],[3]]=>9 [3,5,6,2,1,7,4]=>[5,6,3,2,7,1,4]=>[4,1,7,2,3,6,5]=>[[1,3,5,6],[2,4],[7]]=>10 [3,5,6,2,4,1,7]=>[5,6,3,2,4,1,7]=>[7,1,4,2,3,6,5]=>[[1,3,5,6],[2,7],[4]]=>10 [3,5,6,2,4,7,1]=>[5,6,3,2,4,7,1]=>[1,7,4,2,3,6,5]=>[[1,2,5,6],[3,7],[4]]=>11 [3,5,6,2,7,1,4]=>[5,6,3,7,2,1,4]=>[4,1,2,7,3,6,5]=>[[1,3,4,6],[2,5],[7]]=>11 [3,5,6,2,7,4,1]=>[5,6,3,7,2,4,1]=>[1,4,2,7,3,6,5]=>[[1,2,4,6],[3,5],[7]]=>12 [3,5,6,4,1,2,7]=>[5,6,3,1,4,2,7]=>[7,2,4,1,3,6,5]=>[[1,3,6],[2,5,7],[4]]=>10 [3,5,6,4,1,7,2]=>[5,6,3,1,4,7,2]=>[2,7,4,1,3,6,5]=>[[1,2,6],[3,5,7],[4]]=>11 [3,5,6,4,2,1,7]=>[5,6,3,4,2,1,7]=>[7,1,2,4,3,6,5]=>[[1,3,4,6],[2,7],[5]]=>11 [3,5,6,4,2,7,1]=>[5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5]=>[[1,2,4,6],[3,7],[5]]=>12 [3,5,6,4,7,1,2]=>[5,6,3,4,1,7,2]=>[2,7,1,4,3,6,5]=>[[1,2,6],[3,4,7],[5]]=>12 [3,5,6,4,7,2,1]=>[5,6,3,4,7,2,1]=>[1,2,7,4,3,6,5]=>[[1,2,3,6],[4,7],[5]]=>13 [3,5,6,7,1,2,4]=>[5,6,1,7,3,2,4]=>[4,2,3,7,1,6,5]=>[[1,3,4],[2,6],[5,7]]=>11 [3,5,6,7,1,4,2]=>[5,6,3,7,1,4,2]=>[2,4,1,7,3,6,5]=>[[1,2,4],[3,5,6],[7]]=>12 [3,5,6,7,2,1,4]=>[5,6,7,3,2,1,4]=>[4,1,2,3,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>12 [3,5,6,7,2,4,1]=>[5,6,7,3,2,4,1]=>[1,4,2,3,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>13 [3,5,6,7,4,1,2]=>[5,6,7,3,1,4,2]=>[2,4,1,3,7,6,5]=>[[1,2,5],[3,4,6],[7]]=>13 [3,5,6,7,4,2,1]=>[5,6,7,3,4,2,1]=>[1,2,4,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>14 [3,5,7,1,2,4,6]=>[1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1]=>[[1,4,5,6],[2],[3],[7]]=>9 [3,5,7,1,2,6,4]=>[1,7,5,3,6,2,4]=>[4,2,6,3,5,7,1]=>[[1,3,5,6],[2,4],[7]]=>10 [3,5,7,1,4,2,6]=>[3,7,5,1,4,2,6]=>[6,2,4,1,5,7,3]=>[[1,3,5,6],[2,7],[4]]=>10 [3,5,7,1,4,6,2]=>[5,7,3,1,4,6,2]=>[2,6,4,1,3,7,5]=>[[1,2,6],[3,5,7],[4]]=>11 [3,5,7,1,6,2,4]=>[7,5,3,1,6,2,4]=>[4,2,6,1,3,5,7]=>[[1,3,6,7],[2,5],[4]]=>11 [3,5,7,1,6,4,2]=>[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[[1,2,4,6],[3,5,7]]=>12 [3,5,7,2,1,4,6]=>[7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7]=>[[1,4,5,6,7],[2],[3]]=>10 [3,5,7,2,1,6,4]=>[7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7]=>[[1,3,5,6,7],[2,4]]=>11 [3,5,7,2,4,1,6]=>[7,5,3,2,4,1,6]=>[6,1,4,2,3,5,7]=>[[1,3,5,6,7],[2],[4]]=>11 [3,5,7,2,4,6,1]=>[7,5,3,2,4,6,1]=>[1,6,4,2,3,5,7]=>[[1,2,5,6,7],[3],[4]]=>12 [3,5,7,2,6,1,4]=>[7,5,3,6,2,1,4]=>[4,1,2,6,3,5,7]=>[[1,3,4,6,7],[2,5]]=>12 [3,5,7,2,6,4,1]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[[1,2,4,6,7],[3,5]]=>13 [3,5,7,4,1,2,6]=>[7,5,3,1,4,2,6]=>[6,2,4,1,3,5,7]=>[[1,3,6,7],[2,5],[4]]=>11 [3,5,7,4,1,6,2]=>[7,5,3,1,4,6,2]=>[2,6,4,1,3,5,7]=>[[1,2,6,7],[3,5],[4]]=>12 [3,5,7,4,2,1,6]=>[7,5,3,4,2,1,6]=>[6,1,2,4,3,5,7]=>[[1,3,4,6,7],[2],[5]]=>12 [3,5,7,4,2,6,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[[1,2,4,6,7],[3],[5]]=>13 [3,5,7,4,6,1,2]=>[7,5,3,4,1,6,2]=>[2,6,1,4,3,5,7]=>[[1,2,6,7],[3,4],[5]]=>13 [3,5,7,4,6,2,1]=>[7,5,3,4,6,2,1]=>[1,2,6,4,3,5,7]=>[[1,2,3,6,7],[4],[5]]=>14 [3,5,7,6,1,2,4]=>[7,5,1,6,3,2,4]=>[4,2,3,6,1,5,7]=>[[1,3,4,7],[2,6],[5]]=>12 [3,5,7,6,1,4,2]=>[7,5,3,6,1,4,2]=>[2,4,1,6,3,5,7]=>[[1,2,4,7],[3,5,6]]=>13 [3,5,7,6,2,1,4]=>[7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7]=>[[1,3,4,5,7],[2,6]]=>13 [3,5,7,6,2,4,1]=>[7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7]=>[[1,2,4,5,7],[3,6]]=>14 [3,5,7,6,4,1,2]=>[7,5,6,3,1,4,2]=>[2,4,1,3,6,5,7]=>[[1,2,5,7],[3,4,6]]=>14 [3,5,7,6,4,2,1]=>[7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7]=>[[1,2,3,5,7],[4,6]]=>15 [3,6,1,2,4,5,7]=>[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>[[1,4],[2,6],[3],[5],[7]]=>6 [3,6,1,2,4,7,5]=>[1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1]=>[[1,3],[2,4],[5,6],[7]]=>7 [3,6,1,2,5,4,7]=>[1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1]=>[[1,4,5],[2,6],[3],[7]]=>7 [3,6,1,2,5,7,4]=>[1,3,6,5,7,2,4]=>[4,2,7,5,6,3,1]=>[[1,3,5],[2,4],[6],[7]]=>8 [3,6,1,2,7,4,5]=>[1,3,6,2,7,4,5]=>[5,4,7,2,6,3,1]=>[[1,3],[2,5],[4,6],[7]]=>8 [3,6,1,2,7,5,4]=>[1,3,6,7,5,2,4]=>[4,2,5,7,6,3,1]=>[[1,3,4],[2,5],[6],[7]]=>9 [3,6,1,4,2,5,7]=>[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>[[1,4,5],[2],[3],[6],[7]]=>7 [3,6,1,4,2,7,5]=>[1,3,6,4,7,2,5]=>[5,2,7,4,6,3,1]=>[[1,3,5],[2,4],[6],[7]]=>8 [3,6,1,4,5,2,7]=>[6,3,1,4,5,2,7]=>[7,2,5,4,1,3,6]=>[[1,3,7],[2,6],[4],[5]]=>8 [3,6,1,4,5,7,2]=>[6,3,1,4,5,7,2]=>[2,7,5,4,1,3,6]=>[[1,2,7],[3,6],[4],[5]]=>9 [3,6,1,4,7,2,5]=>[1,3,6,7,4,2,5]=>[5,2,4,7,6,3,1]=>[[1,3,4],[2,5],[6],[7]]=>9 [3,6,1,4,7,5,2]=>[6,3,7,1,4,5,2]=>[2,5,4,1,7,3,6]=>[[1,2,5],[3,6,7],[4]]=>10 [3,6,1,5,2,4,7]=>[3,1,6,5,2,4,7]=>[7,4,2,5,6,1,3]=>[[1,4,5],[2,7],[3],[6]]=>8 [3,6,1,5,2,7,4]=>[3,1,6,5,7,2,4]=>[4,2,7,5,6,1,3]=>[[1,3,5],[2,4],[6,7]]=>9 [3,6,1,5,4,2,7]=>[6,3,5,1,4,2,7]=>[7,2,4,1,5,3,6]=>[[1,3,5,7],[2,6],[4]]=>9 [3,6,1,5,4,7,2]=>[6,3,5,1,4,7,2]=>[2,7,4,1,5,3,6]=>[[1,2,5,7],[3,6],[4]]=>10 [3,6,1,5,7,2,4]=>[3,6,5,1,7,2,4]=>[4,2,7,1,5,6,3]=>[[1,3,6],[2,5],[4,7]]=>10 [3,6,1,5,7,4,2]=>[6,3,5,7,1,4,2]=>[2,4,1,7,5,3,6]=>[[1,2,4,7],[3,5],[6]]=>11 [3,6,1,7,2,4,5]=>[3,1,6,2,7,4,5]=>[5,4,7,2,6,1,3]=>[[1,3],[2,5],[4,7],[6]]=>9 [3,6,1,7,2,5,4]=>[3,1,6,7,5,2,4]=>[4,2,5,7,6,1,3]=>[[1,3,4],[2,5],[6,7]]=>10 [3,6,1,7,4,2,5]=>[3,1,6,7,4,2,5]=>[5,2,4,7,6,1,3]=>[[1,3,4],[2,5],[6,7]]=>10 [3,6,1,7,4,5,2]=>[6,7,3,1,4,5,2]=>[2,5,4,1,3,7,6]=>[[1,2,6],[3,5,7],[4]]=>11 [3,6,1,7,5,2,4]=>[3,6,1,7,5,2,4]=>[4,2,5,7,1,6,3]=>[[1,3,4],[2,6],[5,7]]=>11 [3,6,1,7,5,4,2]=>[6,7,3,5,1,4,2]=>[2,4,1,5,3,7,6]=>[[1,2,4,6],[3,5,7]]=>12 [3,6,2,1,4,5,7]=>[3,2,1,6,4,5,7]=>[7,5,4,6,1,2,3]=>[[1,4,7],[2,6],[3],[5]]=>7 [3,6,2,1,4,7,5]=>[3,2,1,6,7,4,5]=>[5,4,7,6,1,2,3]=>[[1,3,7],[2,4],[5,6]]=>8 [3,6,2,1,5,4,7]=>[3,2,6,5,1,4,7]=>[7,4,1,5,6,2,3]=>[[1,4,5],[2,6,7],[3]]=>8 [3,6,2,1,5,7,4]=>[3,2,6,5,7,1,4]=>[4,1,7,5,6,2,3]=>[[1,3,5],[2,4,7],[6]]=>9 [3,6,2,1,7,4,5]=>[3,2,6,1,7,4,5]=>[5,4,7,1,6,2,3]=>[[1,3,7],[2,5],[4,6]]=>9 [3,6,2,1,7,5,4]=>[3,2,6,7,5,1,4]=>[4,1,5,7,6,2,3]=>[[1,3,4],[2,5,7],[6]]=>10 [3,6,2,4,1,5,7]=>[3,2,6,4,1,5,7]=>[7,5,1,4,6,2,3]=>[[1,4,5],[2,7],[3],[6]]=>8 [3,6,2,4,1,7,5]=>[3,2,6,4,7,1,5]=>[5,1,7,4,6,2,3]=>[[1,3,5],[2,4],[6,7]]=>9 [3,6,2,4,5,1,7]=>[3,2,6,4,5,1,7]=>[7,1,5,4,6,2,3]=>[[1,3,5],[2,7],[4],[6]]=>9 [3,6,2,4,5,7,1]=>[3,2,6,4,5,7,1]=>[1,7,5,4,6,2,3]=>[[1,2,5],[3,7],[4],[6]]=>10 [3,6,2,4,7,1,5]=>[3,2,6,7,4,1,5]=>[5,1,4,7,6,2,3]=>[[1,3,4],[2,5],[6,7]]=>10 [3,6,2,4,7,5,1]=>[3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3]=>[[1,2,4],[3,5],[6,7]]=>11 [3,6,2,5,1,4,7]=>[3,6,5,2,1,4,7]=>[7,4,1,2,5,6,3]=>[[1,4,5,6],[2,7],[3]]=>9 [3,6,2,5,1,7,4]=>[3,6,5,2,7,1,4]=>[4,1,7,2,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>10 [3,6,2,5,4,1,7]=>[3,6,5,2,4,1,7]=>[7,1,4,2,5,6,3]=>[[1,3,5,6],[2,7],[4]]=>10 [3,6,2,5,4,7,1]=>[3,6,5,2,4,7,1]=>[1,7,4,2,5,6,3]=>[[1,2,5,6],[3,7],[4]]=>11 [3,6,2,5,7,1,4]=>[3,6,5,7,2,1,4]=>[4,1,2,7,5,6,3]=>[[1,3,4,6],[2,5],[7]]=>11 [3,6,2,5,7,4,1]=>[3,6,5,7,2,4,1]=>[1,4,2,7,5,6,3]=>[[1,2,4,6],[3,5],[7]]=>12 [3,6,2,7,1,4,5]=>[3,6,2,1,7,4,5]=>[5,4,7,1,2,6,3]=>[[1,3,6],[2,5],[4,7]]=>10 [3,6,2,7,1,5,4]=>[3,6,2,7,5,1,4]=>[4,1,5,7,2,6,3]=>[[1,3,4],[2,5,6],[7]]=>11 [3,6,2,7,4,1,5]=>[3,6,2,7,4,1,5]=>[5,1,4,7,2,6,3]=>[[1,3,4],[2,6],[5,7]]=>11 [3,6,2,7,4,5,1]=>[3,6,2,7,4,5,1]=>[1,5,4,7,2,6,3]=>[[1,2,4],[3,6],[5,7]]=>12 [3,6,2,7,5,1,4]=>[3,6,7,5,2,1,4]=>[4,1,2,5,7,6,3]=>[[1,3,4,5],[2,6],[7]]=>12 [3,6,2,7,5,4,1]=>[3,6,7,5,2,4,1]=>[1,4,2,5,7,6,3]=>[[1,2,4,5],[3,6],[7]]=>13 [3,6,4,1,2,5,7]=>[3,1,6,4,2,5,7]=>[7,5,2,4,6,1,3]=>[[1,4,5],[2,7],[3],[6]]=>8 [3,6,4,1,2,7,5]=>[3,1,6,4,7,2,5]=>[5,2,7,4,6,1,3]=>[[1,3,5],[2,4],[6,7]]=>9 [3,6,4,1,5,2,7]=>[3,1,6,4,5,2,7]=>[7,2,5,4,6,1,3]=>[[1,3,5],[2,7],[4],[6]]=>9 [3,6,4,1,5,7,2]=>[3,1,6,4,5,7,2]=>[2,7,5,4,6,1,3]=>[[1,2,5],[3,7],[4],[6]]=>10 [3,6,4,1,7,2,5]=>[3,6,4,1,7,2,5]=>[5,2,7,1,4,6,3]=>[[1,3,6],[2,5],[4,7]]=>10 [3,6,4,1,7,5,2]=>[3,1,6,7,4,5,2]=>[2,5,4,7,6,1,3]=>[[1,2,4],[3,5],[6,7]]=>11 [3,6,4,2,1,5,7]=>[3,6,4,2,1,5,7]=>[7,5,1,2,4,6,3]=>[[1,4,5,6],[2],[3],[7]]=>9 [3,6,4,2,1,7,5]=>[3,6,4,2,7,1,5]=>[5,1,7,2,4,6,3]=>[[1,3,5,6],[2,4],[7]]=>10 [3,6,4,2,5,1,7]=>[3,6,4,2,5,1,7]=>[7,1,5,2,4,6,3]=>[[1,3,5,6],[2],[4],[7]]=>10 [3,6,4,2,5,7,1]=>[3,6,4,2,5,7,1]=>[1,7,5,2,4,6,3]=>[[1,2,5,6],[3],[4],[7]]=>11 [3,6,4,2,7,1,5]=>[3,6,4,7,2,1,5]=>[5,1,2,7,4,6,3]=>[[1,3,4,6],[2,5],[7]]=>11 [3,6,4,2,7,5,1]=>[3,6,4,7,2,5,1]=>[1,5,2,7,4,6,3]=>[[1,2,4,6],[3,5],[7]]=>12 [3,6,4,5,1,2,7]=>[3,6,4,1,5,2,7]=>[7,2,5,1,4,6,3]=>[[1,3,6],[2,5],[4],[7]]=>10 [3,6,4,5,1,7,2]=>[3,6,4,1,5,7,2]=>[2,7,5,1,4,6,3]=>[[1,2,6],[3,5],[4],[7]]=>11 [3,6,4,5,2,1,7]=>[3,6,4,5,2,1,7]=>[7,1,2,5,4,6,3]=>[[1,3,4,6],[2],[5],[7]]=>11 [3,6,4,5,2,7,1]=>[3,6,4,5,2,7,1]=>[1,7,2,5,4,6,3]=>[[1,2,4,6],[3],[5],[7]]=>12 [3,6,4,5,7,1,2]=>[3,6,4,5,1,7,2]=>[2,7,1,5,4,6,3]=>[[1,2,6],[3,4],[5],[7]]=>12 [3,6,4,5,7,2,1]=>[3,6,4,5,7,2,1]=>[1,2,7,5,4,6,3]=>[[1,2,3,6],[4],[5],[7]]=>13 [3,6,4,7,1,2,5]=>[3,6,1,7,4,2,5]=>[5,2,4,7,1,6,3]=>[[1,3,4],[2,6],[5,7]]=>11 [3,6,4,7,1,5,2]=>[3,6,4,7,1,5,2]=>[2,5,1,7,4,6,3]=>[[1,2,4],[3,5,6],[7]]=>12 [3,6,4,7,2,1,5]=>[3,6,7,4,2,1,5]=>[5,1,2,4,7,6,3]=>[[1,3,4,5],[2,6],[7]]=>12 [3,6,4,7,2,5,1]=>[3,6,7,4,2,5,1]=>[1,5,2,4,7,6,3]=>[[1,2,4,5],[3,6],[7]]=>13 [3,6,4,7,5,1,2]=>[3,6,7,4,1,5,2]=>[2,5,1,4,7,6,3]=>[[1,2,5],[3,4,6],[7]]=>13 [3,6,4,7,5,2,1]=>[3,6,7,4,5,2,1]=>[1,2,5,4,7,6,3]=>[[1,2,3,5],[4,6],[7]]=>14 [3,6,5,1,2,4,7]=>[1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1]=>[[1,4,5,6],[2],[3],[7]]=>9 [3,6,5,1,2,7,4]=>[1,6,5,3,7,2,4]=>[4,2,7,3,5,6,1]=>[[1,3,5,6],[2,4],[7]]=>10 [3,6,5,1,4,2,7]=>[3,6,5,1,4,2,7]=>[7,2,4,1,5,6,3]=>[[1,3,5,6],[2,7],[4]]=>10 [3,6,5,1,4,7,2]=>[3,6,5,1,4,7,2]=>[2,7,4,1,5,6,3]=>[[1,2,5,6],[3,7],[4]]=>11 [3,6,5,1,7,2,4]=>[6,5,3,1,7,2,4]=>[4,2,7,1,3,5,6]=>[[1,3,6,7],[2,5],[4]]=>11 [3,6,5,1,7,4,2]=>[3,6,5,7,1,4,2]=>[2,4,1,7,5,6,3]=>[[1,2,4,6],[3,5],[7]]=>12 [3,6,5,2,1,4,7]=>[6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6]=>[[1,4,5,6,7],[2],[3]]=>10 [3,6,5,2,1,7,4]=>[6,5,3,2,7,1,4]=>[4,1,7,2,3,5,6]=>[[1,3,5,6,7],[2,4]]=>11 [3,6,5,2,4,1,7]=>[6,5,3,2,4,1,7]=>[7,1,4,2,3,5,6]=>[[1,3,5,6,7],[2],[4]]=>11 [3,6,5,2,4,7,1]=>[6,5,3,2,4,7,1]=>[1,7,4,2,3,5,6]=>[[1,2,5,6,7],[3],[4]]=>12 [3,6,5,2,7,1,4]=>[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[[1,3,4,6,7],[2,5]]=>12 [3,6,5,2,7,4,1]=>[6,5,3,7,2,4,1]=>[1,4,2,7,3,5,6]=>[[1,2,4,6,7],[3,5]]=>13 [3,6,5,4,1,2,7]=>[6,5,3,1,4,2,7]=>[7,2,4,1,3,5,6]=>[[1,3,6,7],[2,5],[4]]=>11 [3,6,5,4,1,7,2]=>[6,5,3,1,4,7,2]=>[2,7,4,1,3,5,6]=>[[1,2,6,7],[3,5],[4]]=>12 [3,6,5,4,2,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[1,3,4,6,7],[2],[5]]=>12 [3,6,5,4,2,7,1]=>[6,5,3,4,2,7,1]=>[1,7,2,4,3,5,6]=>[[1,2,4,6,7],[3],[5]]=>13 [3,6,5,4,7,1,2]=>[6,5,3,4,1,7,2]=>[2,7,1,4,3,5,6]=>[[1,2,6,7],[3,4],[5]]=>13 [3,6,5,4,7,2,1]=>[6,5,3,4,7,2,1]=>[1,2,7,4,3,5,6]=>[[1,2,3,6,7],[4],[5]]=>14 [3,6,5,7,1,2,4]=>[6,5,1,7,3,2,4]=>[4,2,3,7,1,5,6]=>[[1,3,4,7],[2,6],[5]]=>12 [3,6,5,7,1,4,2]=>[6,5,3,7,1,4,2]=>[2,4,1,7,3,5,6]=>[[1,2,4,7],[3,5,6]]=>13 [3,6,5,7,2,1,4]=>[6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6]=>[[1,3,4,5,7],[2,6]]=>13 [3,6,5,7,2,4,1]=>[6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6]=>[[1,2,4,5,7],[3,6]]=>14 [3,6,5,7,4,1,2]=>[6,5,7,3,1,4,2]=>[2,4,1,3,7,5,6]=>[[1,2,5,7],[3,4,6]]=>14 [3,6,5,7,4,2,1]=>[6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6]=>[[1,2,3,5,7],[4,6]]=>15 [3,6,7,1,2,4,5]=>[1,6,3,2,7,4,5]=>[5,4,7,2,3,6,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [3,6,7,1,2,5,4]=>[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>[[1,3,4],[2,5,6],[7]]=>11 [3,6,7,1,4,2,5]=>[1,6,3,7,4,2,5]=>[5,2,4,7,3,6,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [3,6,7,1,4,5,2]=>[3,6,1,7,4,5,2]=>[2,5,4,7,1,6,3]=>[[1,2,4],[3,6],[5,7]]=>12 [3,6,7,1,5,2,4]=>[6,3,1,7,5,2,4]=>[4,2,5,7,1,3,6]=>[[1,3,4],[2,6,7],[5]]=>12 [3,6,7,1,5,4,2]=>[3,6,7,5,1,4,2]=>[2,4,1,5,7,6,3]=>[[1,2,4,5],[3,6],[7]]=>13 [3,6,7,2,1,4,5]=>[6,3,2,1,7,4,5]=>[5,4,7,1,2,3,6]=>[[1,3,6,7],[2,5],[4]]=>11 [3,6,7,2,1,5,4]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[1,3,4,7],[2,5,6]]=>12 [3,6,7,2,4,1,5]=>[6,3,2,7,4,1,5]=>[5,1,4,7,2,3,6]=>[[1,3,4,7],[2,6],[5]]=>12 [3,6,7,2,4,5,1]=>[6,3,2,7,4,5,1]=>[1,5,4,7,2,3,6]=>[[1,2,4,7],[3,6],[5]]=>13 [3,6,7,2,5,1,4]=>[6,3,7,5,2,1,4]=>[4,1,2,5,7,3,6]=>[[1,3,4,5],[2,6,7]]=>13 [3,6,7,2,5,4,1]=>[6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6]=>[[1,2,4,5],[3,6,7]]=>14 [3,6,7,4,1,2,5]=>[6,3,1,7,4,2,5]=>[5,2,4,7,1,3,6]=>[[1,3,4],[2,6,7],[5]]=>12 [3,6,7,4,1,5,2]=>[6,3,1,7,4,5,2]=>[2,5,4,7,1,3,6]=>[[1,2,4],[3,6,7],[5]]=>13 [3,6,7,4,2,1,5]=>[6,3,7,4,2,1,5]=>[5,1,2,4,7,3,6]=>[[1,3,4,5],[2,7],[6]]=>13 [3,6,7,4,2,5,1]=>[6,3,7,4,2,5,1]=>[1,5,2,4,7,3,6]=>[[1,2,4,5],[3,7],[6]]=>14 [3,6,7,4,5,1,2]=>[6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6]=>[[1,2,5],[3,4,7],[6]]=>14 [3,6,7,4,5,2,1]=>[6,3,7,4,5,2,1]=>[1,2,5,4,7,3,6]=>[[1,2,3,5],[4,7],[6]]=>15 [3,6,7,5,1,2,4]=>[6,1,7,5,3,2,4]=>[4,2,3,5,7,1,6]=>[[1,3,4,5],[2,7],[6]]=>13 [3,6,7,5,1,4,2]=>[6,3,7,5,1,4,2]=>[2,4,1,5,7,3,6]=>[[1,2,4,5],[3,6,7]]=>14 [3,6,7,5,2,1,4]=>[6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6]=>[[1,3,4,5,6],[2,7]]=>14 [3,6,7,5,2,4,1]=>[6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6]=>[[1,2,4,5,6],[3,7]]=>15 [3,6,7,5,4,1,2]=>[6,7,5,3,1,4,2]=>[2,4,1,3,5,7,6]=>[[1,2,5,6],[3,4,7]]=>15 [3,6,7,5,4,2,1]=>[6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6]=>[[1,2,3,5,6],[4,7]]=>16 [3,7,1,2,4,5,6]=>[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>7 [3,7,1,2,4,6,5]=>[1,3,7,2,6,4,5]=>[5,4,6,2,7,3,1]=>[[1,3,5],[2,6],[4],[7]]=>8 [3,7,1,2,5,4,6]=>[1,3,7,2,5,4,6]=>[6,4,5,2,7,3,1]=>[[1,3,5],[2,6],[4],[7]]=>8 [3,7,1,2,5,6,4]=>[1,3,5,7,6,2,4]=>[4,2,6,7,5,3,1]=>[[1,3,4],[2,5],[6],[7]]=>9 [3,7,1,2,6,4,5]=>[3,1,7,2,6,4,5]=>[5,4,6,2,7,1,3]=>[[1,3,5],[2,7],[4],[6]]=>9 [3,7,1,2,6,5,4]=>[7,1,3,6,5,2,4]=>[4,2,5,6,3,1,7]=>[[1,3,4,7],[2,5],[6]]=>10 [3,7,1,4,2,5,6]=>[1,3,4,2,7,5,6]=>[6,5,7,2,4,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>8 [3,7,1,4,2,6,5]=>[1,3,4,7,6,2,5]=>[5,2,6,7,4,3,1]=>[[1,3,4],[2,5],[6],[7]]=>9 [3,7,1,4,5,2,6]=>[1,3,4,7,5,2,6]=>[6,2,5,7,4,3,1]=>[[1,3,4],[2],[5],[6],[7]]=>9 [3,7,1,4,5,6,2]=>[3,1,7,4,5,6,2]=>[2,6,5,4,7,1,3]=>[[1,2,5],[3,7],[4],[6]]=>10 [3,7,1,4,6,2,5]=>[7,1,3,6,4,2,5]=>[5,2,4,6,3,1,7]=>[[1,3,4,7],[2],[5],[6]]=>10 [3,7,1,4,6,5,2]=>[3,7,6,1,4,5,2]=>[2,5,4,1,6,7,3]=>[[1,2,5,6],[3,7],[4]]=>11 [3,7,1,5,2,4,6]=>[3,1,7,2,5,4,6]=>[6,4,5,2,7,1,3]=>[[1,3,5],[2,7],[4],[6]]=>9 [3,7,1,5,2,6,4]=>[3,1,5,7,6,2,4]=>[4,2,6,7,5,1,3]=>[[1,3,4],[2,5],[6,7]]=>10 [3,7,1,5,4,2,6]=>[7,1,3,5,4,2,6]=>[6,2,4,5,3,1,7]=>[[1,3,4,7],[2],[5],[6]]=>10 [3,7,1,5,4,6,2]=>[3,7,5,1,4,6,2]=>[2,6,4,1,5,7,3]=>[[1,2,5,6],[3,7],[4]]=>11 [3,7,1,5,6,2,4]=>[3,5,1,7,6,2,4]=>[4,2,6,7,1,5,3]=>[[1,3,4],[2,6],[5,7]]=>11 [3,7,1,5,6,4,2]=>[3,7,5,6,1,4,2]=>[2,4,1,6,5,7,3]=>[[1,2,4,6],[3,5],[7]]=>12 [3,7,1,6,2,4,5]=>[1,7,3,2,6,4,5]=>[5,4,6,2,3,7,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [3,7,1,6,2,5,4]=>[3,7,1,6,5,2,4]=>[4,2,5,6,1,7,3]=>[[1,3,4,6],[2,7],[5]]=>11 [3,7,1,6,4,2,5]=>[3,7,1,6,4,2,5]=>[5,2,4,6,1,7,3]=>[[1,3,4,6],[2,7],[5]]=>11 [3,7,1,6,4,5,2]=>[7,6,3,1,4,5,2]=>[2,5,4,1,3,6,7]=>[[1,2,6,7],[3,5],[4]]=>12 [3,7,1,6,5,2,4]=>[7,3,1,6,5,2,4]=>[4,2,5,6,1,3,7]=>[[1,3,4,7],[2,6],[5]]=>12 [3,7,1,6,5,4,2]=>[7,6,3,5,1,4,2]=>[2,4,1,5,3,6,7]=>[[1,2,4,6,7],[3,5]]=>13 [3,7,2,1,4,5,6]=>[3,2,1,4,7,5,6]=>[6,5,7,4,1,2,3]=>[[1,3,7],[2,6],[4],[5]]=>8 [3,7,2,1,4,6,5]=>[3,2,7,1,6,4,5]=>[5,4,6,1,7,2,3]=>[[1,3,5],[2,6,7],[4]]=>9 [3,7,2,1,5,4,6]=>[3,2,7,1,5,4,6]=>[6,4,5,1,7,2,3]=>[[1,3,5],[2,6,7],[4]]=>9 [3,7,2,1,5,6,4]=>[3,2,5,7,6,1,4]=>[4,1,6,7,5,2,3]=>[[1,3,4],[2,5,7],[6]]=>10 [3,7,2,1,6,4,5]=>[3,7,2,1,6,4,5]=>[5,4,6,1,2,7,3]=>[[1,3,6],[2,5,7],[4]]=>10 [3,7,2,1,6,5,4]=>[3,7,2,6,5,1,4]=>[4,1,5,6,2,7,3]=>[[1,3,4,6],[2,5,7]]=>11 [3,7,2,4,1,5,6]=>[3,2,4,1,7,5,6]=>[6,5,7,1,4,2,3]=>[[1,3,7],[2,5],[4],[6]]=>9 [3,7,2,4,1,6,5]=>[3,2,4,7,6,1,5]=>[5,1,6,7,4,2,3]=>[[1,3,4],[2,5,7],[6]]=>10 [3,7,2,4,5,1,6]=>[3,2,4,7,5,1,6]=>[6,1,5,7,4,2,3]=>[[1,3,4],[2,7],[5],[6]]=>10 [3,7,2,4,5,6,1]=>[3,2,4,7,5,6,1]=>[1,6,5,7,4,2,3]=>[[1,2,4],[3,7],[5],[6]]=>11 [3,7,2,4,6,1,5]=>[3,7,2,6,4,1,5]=>[5,1,4,6,2,7,3]=>[[1,3,4,6],[2,7],[5]]=>11 [3,7,2,4,6,5,1]=>[3,7,2,6,4,5,1]=>[1,5,4,6,2,7,3]=>[[1,2,4,6],[3,7],[5]]=>12 [3,7,2,5,1,4,6]=>[3,7,2,1,5,4,6]=>[6,4,5,1,2,7,3]=>[[1,3,6],[2,5,7],[4]]=>10 [3,7,2,5,1,6,4]=>[3,5,2,7,6,1,4]=>[4,1,6,7,2,5,3]=>[[1,3,4],[2,5,6],[7]]=>11 [3,7,2,5,4,1,6]=>[3,7,2,5,4,1,6]=>[6,1,4,5,2,7,3]=>[[1,3,4,6],[2,7],[5]]=>11 [3,7,2,5,4,6,1]=>[3,7,2,5,4,6,1]=>[1,6,4,5,2,7,3]=>[[1,2,4,6],[3,7],[5]]=>12 [3,7,2,5,6,1,4]=>[3,5,7,6,2,1,4]=>[4,1,2,6,7,5,3]=>[[1,3,4,5],[2,6],[7]]=>12 [3,7,2,5,6,4,1]=>[3,5,7,6,2,4,1]=>[1,4,2,6,7,5,3]=>[[1,2,4,5],[3,6],[7]]=>13 [3,7,2,6,1,4,5]=>[7,3,2,1,6,4,5]=>[5,4,6,1,2,3,7]=>[[1,3,6,7],[2,5],[4]]=>11 [3,7,2,6,1,5,4]=>[7,3,2,6,5,1,4]=>[4,1,5,6,2,3,7]=>[[1,3,4,7],[2,5,6]]=>12 [3,7,2,6,4,1,5]=>[7,3,2,6,4,1,5]=>[5,1,4,6,2,3,7]=>[[1,3,4,7],[2,6],[5]]=>12 [3,7,2,6,4,5,1]=>[7,3,2,6,4,5,1]=>[1,5,4,6,2,3,7]=>[[1,2,4,7],[3,6],[5]]=>13 [3,7,2,6,5,1,4]=>[7,3,6,5,2,1,4]=>[4,1,2,5,6,3,7]=>[[1,3,4,5,7],[2,6]]=>13 [3,7,2,6,5,4,1]=>[7,3,6,5,2,4,1]=>[1,4,2,5,6,3,7]=>[[1,2,4,5,7],[3,6]]=>14 [3,7,4,1,2,5,6]=>[3,1,4,2,7,5,6]=>[6,5,7,2,4,1,3]=>[[1,3],[2,5],[4,7],[6]]=>9 [3,7,4,1,2,6,5]=>[3,1,4,7,6,2,5]=>[5,2,6,7,4,1,3]=>[[1,3,4],[2,5],[6,7]]=>10 [3,7,4,1,5,2,6]=>[3,1,4,7,5,2,6]=>[6,2,5,7,4,1,3]=>[[1,3,4],[2,7],[5],[6]]=>10 [3,7,4,1,5,6,2]=>[3,1,4,7,5,6,2]=>[2,6,5,7,4,1,3]=>[[1,2,4],[3,7],[5],[6]]=>11 [3,7,4,1,6,2,5]=>[3,4,1,7,6,2,5]=>[5,2,6,7,1,4,3]=>[[1,3,4],[2,6],[5,7]]=>11 [3,7,4,1,6,5,2]=>[3,7,1,6,4,5,2]=>[2,5,4,6,1,7,3]=>[[1,2,4,6],[3,7],[5]]=>12 [3,7,4,2,1,5,6]=>[3,4,2,1,7,5,6]=>[6,5,7,1,2,4,3]=>[[1,3,6],[2,5],[4],[7]]=>10 [3,7,4,2,1,6,5]=>[3,4,2,7,6,1,5]=>[5,1,6,7,2,4,3]=>[[1,3,4],[2,5,6],[7]]=>11 [3,7,4,2,5,1,6]=>[3,4,2,7,5,1,6]=>[6,1,5,7,2,4,3]=>[[1,3,4],[2,6],[5],[7]]=>11 [3,7,4,2,5,6,1]=>[3,4,2,7,5,6,1]=>[1,6,5,7,2,4,3]=>[[1,2,4],[3,6],[5],[7]]=>12 [3,7,4,2,6,1,5]=>[3,4,7,6,2,1,5]=>[5,1,2,6,7,4,3]=>[[1,3,4,5],[2,6],[7]]=>12 [3,7,4,2,6,5,1]=>[3,4,7,6,2,5,1]=>[1,5,2,6,7,4,3]=>[[1,2,4,5],[3,6],[7]]=>13 [3,7,4,5,1,2,6]=>[3,4,1,7,5,2,6]=>[6,2,5,7,1,4,3]=>[[1,3,4],[2,6],[5],[7]]=>11 [3,7,4,5,1,6,2]=>[3,4,1,7,5,6,2]=>[2,6,5,7,1,4,3]=>[[1,2,4],[3,6],[5],[7]]=>12 [3,7,4,5,2,1,6]=>[3,4,7,5,2,1,6]=>[6,1,2,5,7,4,3]=>[[1,3,4,5],[2],[6],[7]]=>12 [3,7,4,5,2,6,1]=>[3,4,7,5,2,6,1]=>[1,6,2,5,7,4,3]=>[[1,2,4,5],[3],[6],[7]]=>13 [3,7,4,5,6,1,2]=>[3,4,7,5,1,6,2]=>[2,6,1,5,7,4,3]=>[[1,2,5],[3,4],[6],[7]]=>13 [3,7,4,5,6,2,1]=>[3,4,7,5,6,2,1]=>[1,2,6,5,7,4,3]=>[[1,2,3,5],[4],[6],[7]]=>14 [3,7,4,6,1,2,5]=>[7,3,1,6,4,2,5]=>[5,2,4,6,1,3,7]=>[[1,3,4,7],[2,6],[5]]=>12 [3,7,4,6,1,5,2]=>[3,4,7,6,1,5,2]=>[2,5,1,6,7,4,3]=>[[1,2,4,5],[3,6],[7]]=>13 [3,7,4,6,2,1,5]=>[7,3,6,4,2,1,5]=>[5,1,2,4,6,3,7]=>[[1,3,4,5,7],[2],[6]]=>13 [3,7,4,6,2,5,1]=>[7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7]=>[[1,2,4,5,7],[3],[6]]=>14 [3,7,4,6,5,1,2]=>[7,3,6,4,1,5,2]=>[2,5,1,4,6,3,7]=>[[1,2,5,7],[3,4],[6]]=>14 [3,7,4,6,5,2,1]=>[7,3,6,4,5,2,1]=>[1,2,5,4,6,3,7]=>[[1,2,3,5,7],[4],[6]]=>15 [3,7,5,1,2,4,6]=>[1,7,3,2,5,4,6]=>[6,4,5,2,3,7,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [3,7,5,1,2,6,4]=>[1,5,3,7,6,2,4]=>[4,2,6,7,3,5,1]=>[[1,3,4],[2,5,6],[7]]=>11 [3,7,5,1,4,2,6]=>[3,7,1,5,4,2,6]=>[6,2,4,5,1,7,3]=>[[1,3,4,6],[2,7],[5]]=>11 [3,7,5,1,4,6,2]=>[3,7,1,5,4,6,2]=>[2,6,4,5,1,7,3]=>[[1,2,4,6],[3,7],[5]]=>12 [3,7,5,1,6,2,4]=>[5,3,1,7,6,2,4]=>[4,2,6,7,1,3,5]=>[[1,3,4],[2,6,7],[5]]=>12 [3,7,5,1,6,4,2]=>[3,5,7,6,1,4,2]=>[2,4,1,6,7,5,3]=>[[1,2,4,5],[3,6],[7]]=>13 [3,7,5,2,1,4,6]=>[7,3,2,1,5,4,6]=>[6,4,5,1,2,3,7]=>[[1,3,6,7],[2,5],[4]]=>11 [3,7,5,2,1,6,4]=>[5,3,2,7,6,1,4]=>[4,1,6,7,2,3,5]=>[[1,3,4,7],[2,5,6]]=>12 [3,7,5,2,4,1,6]=>[7,3,2,5,4,1,6]=>[6,1,4,5,2,3,7]=>[[1,3,4,7],[2,6],[5]]=>12 [3,7,5,2,4,6,1]=>[7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]=>[[1,2,4,7],[3,6],[5]]=>13 [3,7,5,2,6,1,4]=>[5,3,7,6,2,1,4]=>[4,1,2,6,7,3,5]=>[[1,3,4,5],[2,6,7]]=>13 [3,7,5,2,6,4,1]=>[5,3,7,6,2,4,1]=>[1,4,2,6,7,3,5]=>[[1,2,4,5],[3,6,7]]=>14 [3,7,5,4,1,2,6]=>[7,3,1,5,4,2,6]=>[6,2,4,5,1,3,7]=>[[1,3,4,7],[2,6],[5]]=>12 [3,7,5,4,1,6,2]=>[7,3,1,5,4,6,2]=>[2,6,4,5,1,3,7]=>[[1,2,4,7],[3,6],[5]]=>13 [3,7,5,4,2,1,6]=>[7,3,5,4,2,1,6]=>[6,1,2,4,5,3,7]=>[[1,3,4,5,7],[2],[6]]=>13 [3,7,5,4,2,6,1]=>[7,3,5,4,2,6,1]=>[1,6,2,4,5,3,7]=>[[1,2,4,5,7],[3],[6]]=>14 [3,7,5,4,6,1,2]=>[7,3,5,4,1,6,2]=>[2,6,1,4,5,3,7]=>[[1,2,5,7],[3,4],[6]]=>14 [3,7,5,4,6,2,1]=>[7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7]=>[[1,2,3,5,7],[4],[6]]=>15 [3,7,5,6,1,2,4]=>[5,1,7,6,3,2,4]=>[4,2,3,6,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>13 [3,7,5,6,1,4,2]=>[5,3,7,6,1,4,2]=>[2,4,1,6,7,3,5]=>[[1,2,4,5],[3,6,7]]=>14 [3,7,5,6,2,1,4]=>[5,7,6,3,2,1,4]=>[4,1,2,3,6,7,5]=>[[1,3,4,5,6],[2,7]]=>14 [3,7,5,6,2,4,1]=>[5,7,6,3,2,4,1]=>[1,4,2,3,6,7,5]=>[[1,2,4,5,6],[3,7]]=>15 [3,7,5,6,4,1,2]=>[5,7,6,3,1,4,2]=>[2,4,1,3,6,7,5]=>[[1,2,5,6],[3,4,7]]=>15 [3,7,5,6,4,2,1]=>[5,7,6,3,4,2,1]=>[1,2,4,3,6,7,5]=>[[1,2,3,5,6],[4,7]]=>16 [3,7,6,1,2,4,5]=>[1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [3,7,6,1,2,5,4]=>[1,3,7,6,5,2,4]=>[4,2,5,6,7,3,1]=>[[1,3,4,5],[2,6],[7]]=>12 [3,7,6,1,4,2,5]=>[1,3,7,6,4,2,5]=>[5,2,4,6,7,3,1]=>[[1,3,4,5],[2],[6],[7]]=>12 [3,7,6,1,4,5,2]=>[7,3,1,6,4,5,2]=>[2,5,4,6,1,3,7]=>[[1,2,4,7],[3,6],[5]]=>13 [3,7,6,1,5,2,4]=>[3,1,7,6,5,2,4]=>[4,2,5,6,7,1,3]=>[[1,3,4,5],[2,7],[6]]=>13 [3,7,6,1,5,4,2]=>[7,3,6,5,1,4,2]=>[2,4,1,5,6,3,7]=>[[1,2,4,5,7],[3,6]]=>14 [3,7,6,2,1,4,5]=>[3,2,1,7,6,4,5]=>[5,4,6,7,1,2,3]=>[[1,3,4],[2,6,7],[5]]=>12 [3,7,6,2,1,5,4]=>[3,2,7,6,5,1,4]=>[4,1,5,6,7,2,3]=>[[1,3,4,5],[2,6,7]]=>13 [3,7,6,2,4,1,5]=>[3,2,7,6,4,1,5]=>[5,1,4,6,7,2,3]=>[[1,3,4,5],[2,7],[6]]=>13 [3,7,6,2,4,5,1]=>[3,2,7,6,4,5,1]=>[1,5,4,6,7,2,3]=>[[1,2,4,5],[3,7],[6]]=>14 [3,7,6,2,5,1,4]=>[3,7,6,5,2,1,4]=>[4,1,2,5,6,7,3]=>[[1,3,4,5,6],[2,7]]=>14 [3,7,6,2,5,4,1]=>[3,7,6,5,2,4,1]=>[1,4,2,5,6,7,3]=>[[1,2,4,5,6],[3,7]]=>15 [3,7,6,4,1,2,5]=>[3,1,7,6,4,2,5]=>[5,2,4,6,7,1,3]=>[[1,3,4,5],[2,7],[6]]=>13 [3,7,6,4,1,5,2]=>[3,1,7,6,4,5,2]=>[2,5,4,6,7,1,3]=>[[1,2,4,5],[3,7],[6]]=>14 [3,7,6,4,2,1,5]=>[3,7,6,4,2,1,5]=>[5,1,2,4,6,7,3]=>[[1,3,4,5,6],[2],[7]]=>14 [3,7,6,4,2,5,1]=>[3,7,6,4,2,5,1]=>[1,5,2,4,6,7,3]=>[[1,2,4,5,6],[3],[7]]=>15 [3,7,6,4,5,1,2]=>[3,7,6,4,1,5,2]=>[2,5,1,4,6,7,3]=>[[1,2,5,6],[3,4],[7]]=>15 [3,7,6,4,5,2,1]=>[3,7,6,4,5,2,1]=>[1,2,5,4,6,7,3]=>[[1,2,3,5,6],[4],[7]]=>16 [3,7,6,5,1,2,4]=>[1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1]=>[[1,3,4,5,6],[2],[7]]=>14 [3,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[2,4,1,5,6,7,3]=>[[1,2,4,5,6],[3,7]]=>15 [3,7,6,5,2,1,4]=>[7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7]=>[[1,3,4,5,6,7],[2]]=>15 [3,7,6,5,2,4,1]=>[7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7]=>[[1,2,4,5,6,7],[3]]=>16 [3,7,6,5,4,1,2]=>[7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7]=>[[1,2,5,6,7],[3,4]]=>16 [3,7,6,5,4,2,1]=>[7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7]=>[[1,2,3,5,6,7],[4]]=>17 [4,1,2,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>3 [4,1,2,3,5,7,6]=>[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>[[1,4],[2,5],[3],[6],[7]]=>4 [4,1,2,3,6,5,7]=>[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>[[1,4],[2,5],[3],[6],[7]]=>4 [4,1,2,3,6,7,5]=>[1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1]=>[[1,3],[2,4],[5],[6],[7]]=>5 [4,1,2,3,7,5,6]=>[4,1,2,7,3,5,6]=>[6,5,3,7,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>5 [4,1,2,3,7,6,5]=>[7,1,2,4,6,3,5]=>[5,3,6,4,2,1,7]=>[[1,3,7],[2,4],[5],[6]]=>6 [4,1,2,5,3,6,7]=>[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>4 [4,1,2,5,3,7,6]=>[1,2,4,5,7,3,6]=>[6,3,7,5,4,2,1]=>[[1,3],[2,4],[5],[6],[7]]=>5 [4,1,2,5,6,3,7]=>[1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]=>[[1,3],[2],[4],[5],[6],[7]]=>5 [4,1,2,5,6,7,3]=>[1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]=>[[1,2],[3],[4],[5],[6],[7]]=>6 [4,1,2,5,7,3,6]=>[7,1,2,4,5,3,6]=>[6,3,5,4,2,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>6 [4,1,2,5,7,6,3]=>[7,1,2,4,5,6,3]=>[3,6,5,4,2,1,7]=>[[1,2,7],[3],[4],[5],[6]]=>7 [4,1,2,6,3,5,7]=>[4,1,2,6,3,5,7]=>[7,5,3,6,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>5 [4,1,2,6,3,7,5]=>[4,1,2,6,7,3,5]=>[5,3,7,6,2,1,4]=>[[1,3],[2,4],[5,7],[6]]=>6 [4,1,2,6,5,3,7]=>[6,1,2,4,5,3,7]=>[7,3,5,4,2,1,6]=>[[1,3,7],[2],[4],[5],[6]]=>6 [4,1,2,6,5,7,3]=>[6,1,2,4,5,7,3]=>[3,7,5,4,2,1,6]=>[[1,2,7],[3],[4],[5],[6]]=>7 [4,1,2,6,7,3,5]=>[4,6,1,2,7,3,5]=>[5,3,7,2,1,6,4]=>[[1,3],[2,6],[4,7],[5]]=>7 [4,1,2,6,7,5,3]=>[6,7,1,2,4,5,3]=>[3,5,4,2,1,7,6]=>[[1,2,6],[3,7],[4],[5]]=>8 [4,1,2,7,3,5,6]=>[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>6 [4,1,2,7,3,6,5]=>[4,7,1,2,6,3,5]=>[5,3,6,2,1,7,4]=>[[1,3,6],[2,7],[4],[5]]=>7 [4,1,2,7,5,3,6]=>[4,7,1,2,5,3,6]=>[6,3,5,2,1,7,4]=>[[1,3,6],[2,7],[4],[5]]=>7 [4,1,2,7,5,6,3]=>[1,7,2,4,5,6,3]=>[3,6,5,4,2,7,1]=>[[1,2,6],[3],[4],[5],[7]]=>8 [4,1,2,7,6,3,5]=>[7,4,1,2,6,3,5]=>[5,3,6,2,1,4,7]=>[[1,3,7],[2,6],[4],[5]]=>8 [4,1,2,7,6,5,3]=>[7,6,1,2,4,5,3]=>[3,5,4,2,1,6,7]=>[[1,2,6,7],[3],[4],[5]]=>9 [4,1,3,2,5,6,7]=>[4,1,3,2,5,6,7]=>[7,6,5,2,3,1,4]=>[[1,5,7],[2],[3],[4],[6]]=>4 [4,1,3,2,5,7,6]=>[4,1,3,7,2,5,6]=>[6,5,2,7,3,1,4]=>[[1,4,7],[2,5],[3],[6]]=>5 [4,1,3,2,6,5,7]=>[4,1,3,6,2,5,7]=>[7,5,2,6,3,1,4]=>[[1,4,7],[2,5],[3],[6]]=>5 [4,1,3,2,6,7,5]=>[4,1,3,6,7,2,5]=>[5,2,7,6,3,1,4]=>[[1,3,7],[2,4],[5],[6]]=>6 [4,1,3,2,7,5,6]=>[4,7,1,3,2,5,6]=>[6,5,2,3,1,7,4]=>[[1,4,6],[2,7],[3],[5]]=>6 [4,1,3,2,7,6,5]=>[4,7,1,3,6,2,5]=>[5,2,6,3,1,7,4]=>[[1,3,6],[2,4,7],[5]]=>7 [4,1,3,5,2,6,7]=>[4,1,3,5,2,6,7]=>[7,6,2,5,3,1,4]=>[[1,4,7],[2],[3],[5],[6]]=>5 [4,1,3,5,2,7,6]=>[4,1,3,5,7,2,6]=>[6,2,7,5,3,1,4]=>[[1,3,7],[2,4],[5],[6]]=>6 [4,1,3,5,6,2,7]=>[4,1,3,5,6,2,7]=>[7,2,6,5,3,1,4]=>[[1,3,7],[2],[4],[5],[6]]=>6 [4,1,3,5,6,7,2]=>[4,1,3,5,6,7,2]=>[2,7,6,5,3,1,4]=>[[1,2,7],[3],[4],[5],[6]]=>7 [4,1,3,5,7,2,6]=>[4,7,1,3,5,2,6]=>[6,2,5,3,1,7,4]=>[[1,3,6],[2,7],[4],[5]]=>7 [4,1,3,5,7,6,2]=>[4,7,1,3,5,6,2]=>[2,6,5,3,1,7,4]=>[[1,2,6],[3,7],[4],[5]]=>8 [4,1,3,6,2,5,7]=>[4,6,1,3,2,5,7]=>[7,5,2,3,1,6,4]=>[[1,4,6],[2,7],[3],[5]]=>6 [4,1,3,6,2,7,5]=>[4,6,1,3,7,2,5]=>[5,2,7,3,1,6,4]=>[[1,3,6],[2,4],[5,7]]=>7 [4,1,3,6,5,2,7]=>[4,6,1,3,5,2,7]=>[7,2,5,3,1,6,4]=>[[1,3,6],[2,7],[4],[5]]=>7 [4,1,3,6,5,7,2]=>[4,6,1,3,5,7,2]=>[2,7,5,3,1,6,4]=>[[1,2,6],[3,7],[4],[5]]=>8 [4,1,3,6,7,2,5]=>[4,6,7,1,3,2,5]=>[5,2,3,1,7,6,4]=>[[1,3,5],[2,6],[4,7]]=>8 [4,1,3,6,7,5,2]=>[4,6,7,1,3,5,2]=>[2,5,3,1,7,6,4]=>[[1,2,5],[3,6],[4,7]]=>9 [4,1,3,7,2,5,6]=>[1,4,7,3,2,5,6]=>[6,5,2,3,7,4,1]=>[[1,4,5],[2,6],[3],[7]]=>7 [4,1,3,7,2,6,5]=>[7,4,1,3,6,2,5]=>[5,2,6,3,1,4,7]=>[[1,3,6,7],[2,4],[5]]=>8 [4,1,3,7,5,2,6]=>[7,4,1,3,5,2,6]=>[6,2,5,3,1,4,7]=>[[1,3,6,7],[2],[4],[5]]=>8 [4,1,3,7,5,6,2]=>[7,4,1,3,5,6,2]=>[2,6,5,3,1,4,7]=>[[1,2,6,7],[3],[4],[5]]=>9 [4,1,3,7,6,2,5]=>[7,4,6,1,3,2,5]=>[5,2,3,1,6,4,7]=>[[1,3,5,7],[2,6],[4]]=>9 [4,1,3,7,6,5,2]=>[7,4,6,1,3,5,2]=>[2,5,3,1,6,4,7]=>[[1,2,5,7],[3,6],[4]]=>10 [4,1,5,2,3,6,7]=>[4,1,2,5,3,6,7]=>[7,6,3,5,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>5 [4,1,5,2,3,7,6]=>[4,1,2,5,7,3,6]=>[6,3,7,5,2,1,4]=>[[1,3],[2,4],[5,7],[6]]=>6 [4,1,5,2,6,3,7]=>[4,1,2,5,6,3,7]=>[7,3,6,5,2,1,4]=>[[1,3],[2,7],[4],[5],[6]]=>6 [4,1,5,2,6,7,3]=>[4,1,2,5,6,7,3]=>[3,7,6,5,2,1,4]=>[[1,2],[3,7],[4],[5],[6]]=>7 [4,1,5,2,7,3,6]=>[4,5,1,2,7,3,6]=>[6,3,7,2,1,5,4]=>[[1,3],[2,6],[4,7],[5]]=>7 [4,1,5,2,7,6,3]=>[4,7,1,2,5,6,3]=>[3,6,5,2,1,7,4]=>[[1,2,6],[3,7],[4],[5]]=>8 [4,1,5,3,2,6,7]=>[4,5,1,3,2,6,7]=>[7,6,2,3,1,5,4]=>[[1,4,6],[2,7],[3],[5]]=>6 [4,1,5,3,2,7,6]=>[4,5,1,3,7,2,6]=>[6,2,7,3,1,5,4]=>[[1,3,6],[2,4],[5,7]]=>7 [4,1,5,3,6,2,7]=>[4,5,1,3,6,2,7]=>[7,2,6,3,1,5,4]=>[[1,3,6],[2,7],[4],[5]]=>7 [4,1,5,3,6,7,2]=>[4,5,1,3,6,7,2]=>[2,7,6,3,1,5,4]=>[[1,2,6],[3,7],[4],[5]]=>8 [4,1,5,3,7,2,6]=>[4,5,7,1,3,2,6]=>[6,2,3,1,7,5,4]=>[[1,3,5],[2,6],[4,7]]=>8 [4,1,5,3,7,6,2]=>[4,5,7,1,3,6,2]=>[2,6,3,1,7,5,4]=>[[1,2,5],[3,6],[4,7]]=>9 [4,1,5,6,2,3,7]=>[4,5,1,2,6,3,7]=>[7,3,6,2,1,5,4]=>[[1,3],[2,6],[4,7],[5]]=>7 [4,1,5,6,2,7,3]=>[4,5,1,2,6,7,3]=>[3,7,6,2,1,5,4]=>[[1,2],[3,6],[4,7],[5]]=>8 [4,1,5,6,3,2,7]=>[4,5,6,1,3,2,7]=>[7,2,3,1,6,5,4]=>[[1,3,5],[2,6],[4],[7]]=>8 [4,1,5,6,3,7,2]=>[4,5,6,1,3,7,2]=>[2,7,3,1,6,5,4]=>[[1,2,5],[3,6],[4],[7]]=>9 [4,1,5,6,7,2,3]=>[4,5,6,1,2,7,3]=>[3,7,2,1,6,5,4]=>[[1,2],[3,5],[4,6],[7]]=>9 [4,1,5,6,7,3,2]=>[4,5,6,7,1,3,2]=>[2,3,1,7,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>10 [4,1,5,7,2,3,6]=>[7,4,1,2,5,3,6]=>[6,3,5,2,1,4,7]=>[[1,3,7],[2,6],[4],[5]]=>8 [4,1,5,7,2,6,3]=>[4,5,7,1,2,6,3]=>[3,6,2,1,7,5,4]=>[[1,2,5],[3,6],[4,7]]=>9 [4,1,5,7,3,2,6]=>[7,4,5,1,3,2,6]=>[6,2,3,1,5,4,7]=>[[1,3,5,7],[2,6],[4]]=>9 [4,1,5,7,3,6,2]=>[7,4,5,1,3,6,2]=>[2,6,3,1,5,4,7]=>[[1,2,5,7],[3,6],[4]]=>10 [4,1,5,7,6,2,3]=>[7,4,5,1,2,6,3]=>[3,6,2,1,5,4,7]=>[[1,2,7],[3,5],[4,6]]=>10 [4,1,5,7,6,3,2]=>[7,4,5,6,1,3,2]=>[2,3,1,6,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>11 [4,1,6,2,3,5,7]=>[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>6 [4,1,6,2,3,7,5]=>[1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1]=>[[1,3],[2,4],[5,6],[7]]=>7 [4,1,6,2,5,3,7]=>[4,6,1,2,5,3,7]=>[7,3,5,2,1,6,4]=>[[1,3,6],[2,7],[4],[5]]=>7 [4,1,6,2,5,7,3]=>[4,6,1,2,5,7,3]=>[3,7,5,2,1,6,4]=>[[1,2,6],[3,7],[4],[5]]=>8 [4,1,6,2,7,3,5]=>[1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1]=>[[1,3],[2,5],[4,6],[7]]=>8 [4,1,6,2,7,5,3]=>[4,6,7,1,2,5,3]=>[3,5,2,1,7,6,4]=>[[1,2,5],[3,6],[4,7]]=>9 [4,1,6,3,2,5,7]=>[1,4,6,3,2,5,7]=>[7,5,2,3,6,4,1]=>[[1,4,5],[2,6],[3],[7]]=>7 [4,1,6,3,2,7,5]=>[1,4,6,3,7,2,5]=>[5,2,7,3,6,4,1]=>[[1,3,5],[2,4],[6],[7]]=>8 [4,1,6,3,5,2,7]=>[6,4,1,3,5,2,7]=>[7,2,5,3,1,4,6]=>[[1,3,6,7],[2],[4],[5]]=>8 [4,1,6,3,5,7,2]=>[6,4,1,3,5,7,2]=>[2,7,5,3,1,4,6]=>[[1,2,6,7],[3],[4],[5]]=>9 [4,1,6,3,7,2,5]=>[1,4,6,7,3,2,5]=>[5,2,3,7,6,4,1]=>[[1,3,4],[2,5],[6],[7]]=>9 [4,1,6,3,7,5,2]=>[6,4,7,1,3,5,2]=>[2,5,3,1,7,4,6]=>[[1,2,5,7],[3,6],[4]]=>10 [4,1,6,5,2,3,7]=>[6,4,1,2,5,3,7]=>[7,3,5,2,1,4,6]=>[[1,3,7],[2,6],[4],[5]]=>8 [4,1,6,5,2,7,3]=>[6,4,1,2,5,7,3]=>[3,7,5,2,1,4,6]=>[[1,2,7],[3,6],[4],[5]]=>9 [4,1,6,5,3,2,7]=>[6,4,5,1,3,2,7]=>[7,2,3,1,5,4,6]=>[[1,3,5,7],[2,6],[4]]=>9 [4,1,6,5,3,7,2]=>[6,4,5,1,3,7,2]=>[2,7,3,1,5,4,6]=>[[1,2,5,7],[3,6],[4]]=>10 [4,1,6,5,7,2,3]=>[6,4,5,1,2,7,3]=>[3,7,2,1,5,4,6]=>[[1,2,7],[3,5],[4,6]]=>10 [4,1,6,5,7,3,2]=>[6,4,5,7,1,3,2]=>[2,3,1,7,5,4,6]=>[[1,2,4,7],[3,5],[6]]=>11 [4,1,6,7,2,3,5]=>[4,1,6,2,7,3,5]=>[5,3,7,2,6,1,4]=>[[1,3],[2,5],[4,7],[6]]=>9 [4,1,6,7,2,5,3]=>[6,4,7,1,2,5,3]=>[3,5,2,1,7,4,6]=>[[1,2,5],[3,6,7],[4]]=>10 [4,1,6,7,3,2,5]=>[4,1,6,7,3,2,5]=>[5,2,3,7,6,1,4]=>[[1,3,4],[2,5],[6,7]]=>10 [4,1,6,7,3,5,2]=>[6,7,4,1,3,5,2]=>[2,5,3,1,4,7,6]=>[[1,2,5,6],[3,7],[4]]=>11 [4,1,6,7,5,2,3]=>[6,7,4,1,2,5,3]=>[3,5,2,1,4,7,6]=>[[1,2,6],[3,5,7],[4]]=>11 [4,1,6,7,5,3,2]=>[6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6]=>[[1,2,4,6],[3,5,7]]=>12 [4,1,7,2,3,5,6]=>[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>7 [4,1,7,2,3,6,5]=>[1,4,7,2,6,3,5]=>[5,3,6,2,7,4,1]=>[[1,3,5],[2,6],[4],[7]]=>8 [4,1,7,2,5,3,6]=>[1,4,7,2,5,3,6]=>[6,3,5,2,7,4,1]=>[[1,3,5],[2,6],[4],[7]]=>8 [4,1,7,2,5,6,3]=>[7,4,1,2,5,6,3]=>[3,6,5,2,1,4,7]=>[[1,2,7],[3,6],[4],[5]]=>9 [4,1,7,2,6,3,5]=>[4,1,7,2,6,3,5]=>[5,3,6,2,7,1,4]=>[[1,3,5],[2,7],[4],[6]]=>9 [4,1,7,2,6,5,3]=>[7,4,6,1,2,5,3]=>[3,5,2,1,6,4,7]=>[[1,2,5,7],[3,6],[4]]=>10 [4,1,7,3,2,5,6]=>[7,1,4,3,2,5,6]=>[6,5,2,3,4,1,7]=>[[1,4,5,7],[2],[3],[6]]=>8 [4,1,7,3,2,6,5]=>[4,1,7,3,6,2,5]=>[5,2,6,3,7,1,4]=>[[1,3,5],[2,4,7],[6]]=>9 [4,1,7,3,5,2,6]=>[4,1,7,3,5,2,6]=>[6,2,5,3,7,1,4]=>[[1,3,5],[2,7],[4],[6]]=>9 [4,1,7,3,5,6,2]=>[7,1,4,3,5,6,2]=>[2,6,5,3,4,1,7]=>[[1,2,5,7],[3],[4],[6]]=>10 [4,1,7,3,6,2,5]=>[7,1,4,6,3,2,5]=>[5,2,3,6,4,1,7]=>[[1,3,4,7],[2,5],[6]]=>10 [4,1,7,3,6,5,2]=>[4,7,6,1,3,5,2]=>[2,5,3,1,6,7,4]=>[[1,2,5,6],[3,7],[4]]=>11 [4,1,7,5,2,3,6]=>[4,1,7,2,5,3,6]=>[6,3,5,2,7,1,4]=>[[1,3,5],[2,7],[4],[6]]=>9 [4,1,7,5,2,6,3]=>[7,1,4,2,5,6,3]=>[3,6,5,2,4,1,7]=>[[1,2,7],[3,5],[4],[6]]=>10 [4,1,7,5,3,2,6]=>[7,1,4,5,3,2,6]=>[6,2,3,5,4,1,7]=>[[1,3,4,7],[2],[5],[6]]=>10 [4,1,7,5,3,6,2]=>[4,7,5,1,3,6,2]=>[2,6,3,1,5,7,4]=>[[1,2,5,6],[3,7],[4]]=>11 [4,1,7,5,6,2,3]=>[4,7,5,1,2,6,3]=>[3,6,2,1,5,7,4]=>[[1,2,6],[3,5],[4,7]]=>11 [4,1,7,5,6,3,2]=>[4,7,5,6,1,3,2]=>[2,3,1,6,5,7,4]=>[[1,2,4,6],[3,5],[7]]=>12 [4,1,7,6,2,3,5]=>[1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [4,1,7,6,2,5,3]=>[4,7,6,1,2,5,3]=>[3,5,2,1,6,7,4]=>[[1,2,5,6],[3,7],[4]]=>11 [4,1,7,6,3,2,5]=>[4,7,1,6,3,2,5]=>[5,2,3,6,1,7,4]=>[[1,3,4,6],[2,7],[5]]=>11 [4,1,7,6,3,5,2]=>[7,6,4,1,3,5,2]=>[2,5,3,1,4,6,7]=>[[1,2,5,6,7],[3],[4]]=>12 [4,1,7,6,5,2,3]=>[7,6,4,1,2,5,3]=>[3,5,2,1,4,6,7]=>[[1,2,6,7],[3,5],[4]]=>12 [4,1,7,6,5,3,2]=>[7,6,4,5,1,3,2]=>[2,3,1,5,4,6,7]=>[[1,2,4,6,7],[3,5]]=>13 [4,2,1,3,5,6,7]=>[2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2]=>[[1,5],[2,7],[3],[4],[6]]=>4 [4,2,1,3,5,7,6]=>[2,1,4,7,3,5,6]=>[6,5,3,7,4,1,2]=>[[1,4],[2,5],[3,7],[6]]=>5 [4,2,1,3,6,5,7]=>[2,1,4,6,3,5,7]=>[7,5,3,6,4,1,2]=>[[1,4],[2,5],[3,7],[6]]=>5 [4,2,1,3,6,7,5]=>[2,1,4,6,7,3,5]=>[5,3,7,6,4,1,2]=>[[1,3],[2,4],[5,7],[6]]=>6 [4,2,1,3,7,5,6]=>[2,4,1,7,3,5,6]=>[6,5,3,7,1,4,2]=>[[1,4],[2,6],[3,7],[5]]=>6 [4,2,1,3,7,6,5]=>[2,7,1,4,6,3,5]=>[5,3,6,4,1,7,2]=>[[1,3,6],[2,4],[5,7]]=>7 [4,2,1,5,3,6,7]=>[2,1,4,5,3,6,7]=>[7,6,3,5,4,1,2]=>[[1,4],[2,7],[3],[5],[6]]=>5 [4,2,1,5,3,7,6]=>[2,1,4,5,7,3,6]=>[6,3,7,5,4,1,2]=>[[1,3],[2,4],[5,7],[6]]=>6 [4,2,1,5,6,3,7]=>[2,1,4,5,6,3,7]=>[7,3,6,5,4,1,2]=>[[1,3],[2,7],[4],[5],[6]]=>6 [4,2,1,5,6,7,3]=>[2,1,4,5,6,7,3]=>[3,7,6,5,4,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>7 [4,2,1,5,7,3,6]=>[2,7,1,4,5,3,6]=>[6,3,5,4,1,7,2]=>[[1,3,6],[2,7],[4],[5]]=>7 [4,2,1,5,7,6,3]=>[2,7,1,4,5,6,3]=>[3,6,5,4,1,7,2]=>[[1,2,6],[3,7],[4],[5]]=>8 [4,2,1,6,3,5,7]=>[2,4,1,6,3,5,7]=>[7,5,3,6,1,4,2]=>[[1,4],[2,6],[3,7],[5]]=>6 [4,2,1,6,3,7,5]=>[2,4,1,6,7,3,5]=>[5,3,7,6,1,4,2]=>[[1,3],[2,4],[5,6],[7]]=>7 [4,2,1,6,5,3,7]=>[2,6,1,4,5,3,7]=>[7,3,5,4,1,6,2]=>[[1,3,6],[2,7],[4],[5]]=>7 [4,2,1,6,5,7,3]=>[2,6,1,4,5,7,3]=>[3,7,5,4,1,6,2]=>[[1,2,6],[3,7],[4],[5]]=>8 [4,2,1,6,7,3,5]=>[2,4,6,1,7,3,5]=>[5,3,7,1,6,4,2]=>[[1,3],[2,5],[4,6],[7]]=>8 [4,2,1,6,7,5,3]=>[2,6,7,1,4,5,3]=>[3,5,4,1,7,6,2]=>[[1,2,5],[3,6],[4,7]]=>9 [4,2,1,7,3,5,6]=>[4,2,1,7,3,5,6]=>[6,5,3,7,1,2,4]=>[[1,4,7],[2,6],[3],[5]]=>7 [4,2,1,7,3,6,5]=>[2,4,7,1,6,3,5]=>[5,3,6,1,7,4,2]=>[[1,3,5],[2,6],[4,7]]=>8 [4,2,1,7,5,3,6]=>[2,4,7,1,5,3,6]=>[6,3,5,1,7,4,2]=>[[1,3,5],[2,6],[4],[7]]=>8 [4,2,1,7,5,6,3]=>[7,2,1,4,5,6,3]=>[3,6,5,4,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>9 [4,2,1,7,6,3,5]=>[7,2,4,1,6,3,5]=>[5,3,6,1,4,2,7]=>[[1,3,7],[2,5],[4,6]]=>9 [4,2,1,7,6,5,3]=>[7,2,6,1,4,5,3]=>[3,5,4,1,6,2,7]=>[[1,2,5,7],[3,6],[4]]=>10 [4,2,3,1,5,6,7]=>[2,4,3,1,5,6,7]=>[7,6,5,1,3,4,2]=>[[1,5,6],[2],[3],[4],[7]]=>5 [4,2,3,1,5,7,6]=>[2,4,3,7,1,5,6]=>[6,5,1,7,3,4,2]=>[[1,4,6],[2,5],[3],[7]]=>6 [4,2,3,1,6,5,7]=>[2,4,3,6,1,5,7]=>[7,5,1,6,3,4,2]=>[[1,4,6],[2,5],[3],[7]]=>6 [4,2,3,1,6,7,5]=>[2,4,3,6,7,1,5]=>[5,1,7,6,3,4,2]=>[[1,3,6],[2,4],[5],[7]]=>7 [4,2,3,1,7,5,6]=>[2,4,7,3,1,5,6]=>[6,5,1,3,7,4,2]=>[[1,4,5],[2,6],[3],[7]]=>7 [4,2,3,1,7,6,5]=>[2,4,7,3,6,1,5]=>[5,1,6,3,7,4,2]=>[[1,3,5],[2,4,6],[7]]=>8 [4,2,3,5,1,6,7]=>[2,4,3,5,1,6,7]=>[7,6,1,5,3,4,2]=>[[1,4,6],[2],[3],[5],[7]]=>6 [4,2,3,5,1,7,6]=>[2,4,3,5,7,1,6]=>[6,1,7,5,3,4,2]=>[[1,3,6],[2,4],[5],[7]]=>7 [4,2,3,5,6,1,7]=>[2,4,3,5,6,1,7]=>[7,1,6,5,3,4,2]=>[[1,3,6],[2],[4],[5],[7]]=>7 [4,2,3,5,6,7,1]=>[2,4,3,5,6,7,1]=>[1,7,6,5,3,4,2]=>[[1,2,6],[3],[4],[5],[7]]=>8 [4,2,3,5,7,1,6]=>[2,4,7,3,5,1,6]=>[6,1,5,3,7,4,2]=>[[1,3,5],[2,6],[4],[7]]=>8 [4,2,3,5,7,6,1]=>[2,4,7,3,5,6,1]=>[1,6,5,3,7,4,2]=>[[1,2,5],[3,6],[4],[7]]=>9 [4,2,3,6,1,5,7]=>[2,4,6,3,1,5,7]=>[7,5,1,3,6,4,2]=>[[1,4,5],[2,6],[3],[7]]=>7 [4,2,3,6,1,7,5]=>[2,4,6,3,7,1,5]=>[5,1,7,3,6,4,2]=>[[1,3,5],[2,4],[6],[7]]=>8 [4,2,3,6,5,1,7]=>[2,4,6,3,5,1,7]=>[7,1,5,3,6,4,2]=>[[1,3,5],[2,6],[4],[7]]=>8 [4,2,3,6,5,7,1]=>[2,4,6,3,5,7,1]=>[1,7,5,3,6,4,2]=>[[1,2,5],[3,6],[4],[7]]=>9 [4,2,3,6,7,1,5]=>[2,4,6,7,3,1,5]=>[5,1,3,7,6,4,2]=>[[1,3,4],[2,5],[6],[7]]=>9 [4,2,3,6,7,5,1]=>[2,4,6,7,3,5,1]=>[1,5,3,7,6,4,2]=>[[1,2,4],[3,5],[6],[7]]=>10 [4,2,3,7,1,5,6]=>[4,2,7,3,1,5,6]=>[6,5,1,3,7,2,4]=>[[1,4,5],[2,7],[3],[6]]=>8 [4,2,3,7,1,6,5]=>[4,2,7,3,6,1,5]=>[5,1,6,3,7,2,4]=>[[1,3,5],[2,4,7],[6]]=>9 [4,2,3,7,5,1,6]=>[4,2,7,3,5,1,6]=>[6,1,5,3,7,2,4]=>[[1,3,5],[2,7],[4],[6]]=>9 [4,2,3,7,5,6,1]=>[4,2,7,3,5,6,1]=>[1,6,5,3,7,2,4]=>[[1,2,5],[3,7],[4],[6]]=>10 [4,2,3,7,6,1,5]=>[7,2,4,6,3,1,5]=>[5,1,3,6,4,2,7]=>[[1,3,4,7],[2,5],[6]]=>10 [4,2,3,7,6,5,1]=>[7,2,4,6,3,5,1]=>[1,5,3,6,4,2,7]=>[[1,2,4,7],[3,5],[6]]=>11 [4,2,5,1,3,6,7]=>[2,4,1,5,3,6,7]=>[7,6,3,5,1,4,2]=>[[1,4],[2,6],[3],[5],[7]]=>6 [4,2,5,1,3,7,6]=>[2,4,1,5,7,3,6]=>[6,3,7,5,1,4,2]=>[[1,3],[2,4],[5,6],[7]]=>7 [4,2,5,1,6,3,7]=>[2,4,1,5,6,3,7]=>[7,3,6,5,1,4,2]=>[[1,3],[2,6],[4],[5],[7]]=>7 [4,2,5,1,6,7,3]=>[2,4,1,5,6,7,3]=>[3,7,6,5,1,4,2]=>[[1,2],[3,6],[4],[5],[7]]=>8 [4,2,5,1,7,3,6]=>[2,4,5,1,7,3,6]=>[6,3,7,1,5,4,2]=>[[1,3],[2,5],[4,6],[7]]=>8 [4,2,5,1,7,6,3]=>[2,4,7,1,5,6,3]=>[3,6,5,1,7,4,2]=>[[1,2,5],[3,6],[4],[7]]=>9 [4,2,5,3,1,6,7]=>[2,4,5,3,1,6,7]=>[7,6,1,3,5,4,2]=>[[1,4,5],[2],[3],[6],[7]]=>7 [4,2,5,3,1,7,6]=>[2,4,5,3,7,1,6]=>[6,1,7,3,5,4,2]=>[[1,3,5],[2,4],[6],[7]]=>8 [4,2,5,3,6,1,7]=>[2,4,5,3,6,1,7]=>[7,1,6,3,5,4,2]=>[[1,3,5],[2],[4],[6],[7]]=>8 [4,2,5,3,6,7,1]=>[2,4,5,3,6,7,1]=>[1,7,6,3,5,4,2]=>[[1,2,5],[3],[4],[6],[7]]=>9 [4,2,5,3,7,1,6]=>[2,4,5,7,3,1,6]=>[6,1,3,7,5,4,2]=>[[1,3,4],[2,5],[6],[7]]=>9 [4,2,5,3,7,6,1]=>[2,4,5,7,3,6,1]=>[1,6,3,7,5,4,2]=>[[1,2,4],[3,5],[6],[7]]=>10 [4,2,5,6,1,3,7]=>[2,4,5,1,6,3,7]=>[7,3,6,1,5,4,2]=>[[1,3],[2,5],[4],[6],[7]]=>8 [4,2,5,6,1,7,3]=>[2,4,5,1,6,7,3]=>[3,7,6,1,5,4,2]=>[[1,2],[3,5],[4],[6],[7]]=>9 [4,2,5,6,3,1,7]=>[2,4,5,6,3,1,7]=>[7,1,3,6,5,4,2]=>[[1,3,4],[2],[5],[6],[7]]=>9 [4,2,5,6,3,7,1]=>[2,4,5,6,3,7,1]=>[1,7,3,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>10 [4,2,5,6,7,1,3]=>[2,4,5,6,1,7,3]=>[3,7,1,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>10 [4,2,5,6,7,3,1]=>[2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2]=>[[1,2,3],[4],[5],[6],[7]]=>11 [4,2,5,7,1,3,6]=>[7,2,4,1,5,3,6]=>[6,3,5,1,4,2,7]=>[[1,3,7],[2,5],[4],[6]]=>9 [4,2,5,7,1,6,3]=>[2,4,5,7,1,6,3]=>[3,6,1,7,5,4,2]=>[[1,2,4],[3,5],[6],[7]]=>10 [4,2,5,7,3,1,6]=>[7,2,4,5,3,1,6]=>[6,1,3,5,4,2,7]=>[[1,3,4,7],[2],[5],[6]]=>10 [4,2,5,7,3,6,1]=>[7,2,4,5,3,6,1]=>[1,6,3,5,4,2,7]=>[[1,2,4,7],[3],[5],[6]]=>11 [4,2,5,7,6,1,3]=>[7,2,4,5,1,6,3]=>[3,6,1,5,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>11 [4,2,5,7,6,3,1]=>[7,2,4,5,6,3,1]=>[1,3,6,5,4,2,7]=>[[1,2,3,7],[4],[5],[6]]=>12 [4,2,6,1,3,5,7]=>[4,2,1,6,3,5,7]=>[7,5,3,6,1,2,4]=>[[1,4,7],[2,6],[3],[5]]=>7 [4,2,6,1,3,7,5]=>[4,2,1,6,7,3,5]=>[5,3,7,6,1,2,4]=>[[1,3,7],[2,4],[5,6]]=>8 [4,2,6,1,5,3,7]=>[2,4,6,1,5,3,7]=>[7,3,5,1,6,4,2]=>[[1,3,5],[2,6],[4],[7]]=>8 [4,2,6,1,5,7,3]=>[2,4,6,1,5,7,3]=>[3,7,5,1,6,4,2]=>[[1,2,5],[3,6],[4],[7]]=>9 [4,2,6,1,7,3,5]=>[4,2,6,1,7,3,5]=>[5,3,7,1,6,2,4]=>[[1,3,7],[2,5],[4,6]]=>9 [4,2,6,1,7,5,3]=>[2,4,6,7,1,5,3]=>[3,5,1,7,6,4,2]=>[[1,2,4],[3,5],[6],[7]]=>10 [4,2,6,3,1,5,7]=>[4,2,6,3,1,5,7]=>[7,5,1,3,6,2,4]=>[[1,4,5],[2,7],[3],[6]]=>8 [4,2,6,3,1,7,5]=>[4,2,6,3,7,1,5]=>[5,1,7,3,6,2,4]=>[[1,3,5],[2,4],[6,7]]=>9 [4,2,6,3,5,1,7]=>[4,2,6,3,5,1,7]=>[7,1,5,3,6,2,4]=>[[1,3,5],[2,7],[4],[6]]=>9 [4,2,6,3,5,7,1]=>[4,2,6,3,5,7,1]=>[1,7,5,3,6,2,4]=>[[1,2,5],[3,7],[4],[6]]=>10 [4,2,6,3,7,1,5]=>[4,2,6,7,3,1,5]=>[5,1,3,7,6,2,4]=>[[1,3,4],[2,5],[6,7]]=>10 [4,2,6,3,7,5,1]=>[4,2,6,7,3,5,1]=>[1,5,3,7,6,2,4]=>[[1,2,4],[3,5],[6,7]]=>11 [4,2,6,5,1,3,7]=>[6,2,4,1,5,3,7]=>[7,3,5,1,4,2,6]=>[[1,3,7],[2,5],[4],[6]]=>9 [4,2,6,5,1,7,3]=>[6,2,4,1,5,7,3]=>[3,7,5,1,4,2,6]=>[[1,2,7],[3,5],[4],[6]]=>10 [4,2,6,5,3,1,7]=>[6,2,4,5,3,1,7]=>[7,1,3,5,4,2,6]=>[[1,3,4,7],[2],[5],[6]]=>10 [4,2,6,5,3,7,1]=>[6,2,4,5,3,7,1]=>[1,7,3,5,4,2,6]=>[[1,2,4,7],[3],[5],[6]]=>11 [4,2,6,5,7,1,3]=>[6,2,4,5,1,7,3]=>[3,7,1,5,4,2,6]=>[[1,2,7],[3,4],[5],[6]]=>11 [4,2,6,5,7,3,1]=>[6,2,4,5,7,3,1]=>[1,3,7,5,4,2,6]=>[[1,2,3,7],[4],[5],[6]]=>12 [4,2,6,7,1,3,5]=>[4,6,2,1,7,3,5]=>[5,3,7,1,2,6,4]=>[[1,3,6],[2,5],[4,7]]=>10 [4,2,6,7,1,5,3]=>[6,2,4,7,1,5,3]=>[3,5,1,7,4,2,6]=>[[1,2,4],[3,5,7],[6]]=>11 [4,2,6,7,3,1,5]=>[4,6,2,7,3,1,5]=>[5,1,3,7,2,6,4]=>[[1,3,4],[2,6],[5,7]]=>11 [4,2,6,7,3,5,1]=>[4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>12 [4,2,6,7,5,1,3]=>[6,7,2,4,1,5,3]=>[3,5,1,4,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>12 [4,2,6,7,5,3,1]=>[6,7,2,4,5,3,1]=>[1,3,5,4,2,7,6]=>[[1,2,3,6],[4,7],[5]]=>13 [4,2,7,1,3,5,6]=>[2,1,7,4,3,5,6]=>[6,5,3,4,7,1,2]=>[[1,4,5],[2,7],[3],[6]]=>8 [4,2,7,1,3,6,5]=>[4,2,7,1,6,3,5]=>[5,3,6,1,7,2,4]=>[[1,3,5],[2,6,7],[4]]=>9 [4,2,7,1,5,3,6]=>[4,2,7,1,5,3,6]=>[6,3,5,1,7,2,4]=>[[1,3,5],[2,6,7],[4]]=>9 [4,2,7,1,5,6,3]=>[7,2,4,1,5,6,3]=>[3,6,5,1,4,2,7]=>[[1,2,7],[3,5],[4],[6]]=>10 [4,2,7,1,6,3,5]=>[4,7,2,1,6,3,5]=>[5,3,6,1,2,7,4]=>[[1,3,6],[2,5,7],[4]]=>10 [4,2,7,1,6,5,3]=>[7,2,4,6,1,5,3]=>[3,5,1,6,4,2,7]=>[[1,2,4,7],[3,5],[6]]=>11 [4,2,7,3,1,5,6]=>[2,7,4,3,1,5,6]=>[6,5,1,3,4,7,2]=>[[1,4,5,6],[2],[3],[7]]=>9 [4,2,7,3,1,6,5]=>[2,7,4,3,6,1,5]=>[5,1,6,3,4,7,2]=>[[1,3,5,6],[2,4],[7]]=>10 [4,2,7,3,5,1,6]=>[2,7,4,3,5,1,6]=>[6,1,5,3,4,7,2]=>[[1,3,5,6],[2],[4],[7]]=>10 [4,2,7,3,5,6,1]=>[2,7,4,3,5,6,1]=>[1,6,5,3,4,7,2]=>[[1,2,5,6],[3],[4],[7]]=>11 [4,2,7,3,6,1,5]=>[4,7,2,6,3,1,5]=>[5,1,3,6,2,7,4]=>[[1,3,4,6],[2,7],[5]]=>11 [4,2,7,3,6,5,1]=>[4,7,2,6,3,5,1]=>[1,5,3,6,2,7,4]=>[[1,2,4,6],[3,7],[5]]=>12 [4,2,7,5,1,3,6]=>[4,7,2,1,5,3,6]=>[6,3,5,1,2,7,4]=>[[1,3,6],[2,5,7],[4]]=>10 [4,2,7,5,1,6,3]=>[2,7,4,1,5,6,3]=>[3,6,5,1,4,7,2]=>[[1,2,6],[3,5],[4],[7]]=>11 [4,2,7,5,3,1,6]=>[4,7,2,5,3,1,6]=>[6,1,3,5,2,7,4]=>[[1,3,4,6],[2,7],[5]]=>11 [4,2,7,5,3,6,1]=>[4,7,2,5,3,6,1]=>[1,6,3,5,2,7,4]=>[[1,2,4,6],[3,7],[5]]=>12 [4,2,7,5,6,1,3]=>[2,7,4,5,1,6,3]=>[3,6,1,5,4,7,2]=>[[1,2,6],[3,4],[5],[7]]=>12 [4,2,7,5,6,3,1]=>[2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2]=>[[1,2,3,6],[4],[5],[7]]=>13 [4,2,7,6,1,3,5]=>[7,4,2,1,6,3,5]=>[5,3,6,1,2,4,7]=>[[1,3,6,7],[2,5],[4]]=>11 [4,2,7,6,1,5,3]=>[2,7,4,6,1,5,3]=>[3,5,1,6,4,7,2]=>[[1,2,4,6],[3,5],[7]]=>12 [4,2,7,6,3,1,5]=>[7,4,2,6,3,1,5]=>[5,1,3,6,2,4,7]=>[[1,3,4,7],[2,6],[5]]=>12 [4,2,7,6,3,5,1]=>[7,4,2,6,3,5,1]=>[1,5,3,6,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>13 [4,2,7,6,5,1,3]=>[7,6,2,4,1,5,3]=>[3,5,1,4,2,6,7]=>[[1,2,6,7],[3,4],[5]]=>13 [4,2,7,6,5,3,1]=>[7,6,2,4,5,3,1]=>[1,3,5,4,2,6,7]=>[[1,2,3,6,7],[4],[5]]=>14 [4,3,1,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>[[1,5,6],[2],[3],[4],[7]]=>5 [4,3,1,2,5,7,6]=>[1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1]=>[[1,4,6],[2,5],[3],[7]]=>6 [4,3,1,2,6,5,7]=>[1,4,3,6,2,5,7]=>[7,5,2,6,3,4,1]=>[[1,4,6],[2,5],[3],[7]]=>6 [4,3,1,2,6,7,5]=>[1,4,3,6,7,2,5]=>[5,2,7,6,3,4,1]=>[[1,3,6],[2,4],[5],[7]]=>7 [4,3,1,2,7,5,6]=>[4,3,1,7,2,5,6]=>[6,5,2,7,1,3,4]=>[[1,4,7],[2,6],[3],[5]]=>7 [4,3,1,2,7,6,5]=>[1,4,7,3,6,2,5]=>[5,2,6,3,7,4,1]=>[[1,3,5],[2,4,6],[7]]=>8 [4,3,1,5,2,6,7]=>[1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1]=>[[1,4,6],[2],[3],[5],[7]]=>6 [4,3,1,5,2,7,6]=>[1,4,3,5,7,2,6]=>[6,2,7,5,3,4,1]=>[[1,3,6],[2,4],[5],[7]]=>7 [4,3,1,5,6,2,7]=>[1,4,3,5,6,2,7]=>[7,2,6,5,3,4,1]=>[[1,3,6],[2],[4],[5],[7]]=>7 [4,3,1,5,6,7,2]=>[1,4,3,5,6,7,2]=>[2,7,6,5,3,4,1]=>[[1,2,6],[3],[4],[5],[7]]=>8 [4,3,1,5,7,2,6]=>[1,4,7,3,5,2,6]=>[6,2,5,3,7,4,1]=>[[1,3,5],[2,6],[4],[7]]=>8 [4,3,1,5,7,6,2]=>[1,4,7,3,5,6,2]=>[2,6,5,3,7,4,1]=>[[1,2,5],[3,6],[4],[7]]=>9 [4,3,1,6,2,5,7]=>[4,3,1,6,2,5,7]=>[7,5,2,6,1,3,4]=>[[1,4,7],[2,6],[3],[5]]=>7 [4,3,1,6,2,7,5]=>[4,3,1,6,7,2,5]=>[5,2,7,6,1,3,4]=>[[1,3,7],[2,4],[5,6]]=>8 [4,3,1,6,5,2,7]=>[1,4,6,3,5,2,7]=>[7,2,5,3,6,4,1]=>[[1,3,5],[2,6],[4],[7]]=>8 [4,3,1,6,5,7,2]=>[1,4,6,3,5,7,2]=>[2,7,5,3,6,4,1]=>[[1,2,5],[3,6],[4],[7]]=>9 [4,3,1,6,7,2,5]=>[4,3,6,1,7,2,5]=>[5,2,7,1,6,3,4]=>[[1,3,7],[2,5],[4,6]]=>9 [4,3,1,6,7,5,2]=>[1,4,6,7,3,5,2]=>[2,5,3,7,6,4,1]=>[[1,2,4],[3,5],[6],[7]]=>10 [4,3,1,7,2,5,6]=>[4,1,7,3,2,5,6]=>[6,5,2,3,7,1,4]=>[[1,4,5],[2,7],[3],[6]]=>8 [4,3,1,7,2,6,5]=>[4,3,7,1,6,2,5]=>[5,2,6,1,7,3,4]=>[[1,3,5],[2,6,7],[4]]=>9 [4,3,1,7,5,2,6]=>[4,3,7,1,5,2,6]=>[6,2,5,1,7,3,4]=>[[1,3,5],[2,6,7],[4]]=>9 [4,3,1,7,5,6,2]=>[4,1,7,3,5,6,2]=>[2,6,5,3,7,1,4]=>[[1,2,5],[3,7],[4],[6]]=>10 [4,3,1,7,6,2,5]=>[4,7,3,1,6,2,5]=>[5,2,6,1,3,7,4]=>[[1,3,6],[2,5,7],[4]]=>10 [4,3,1,7,6,5,2]=>[7,1,4,6,3,5,2]=>[2,5,3,6,4,1,7]=>[[1,2,4,7],[3,5],[6]]=>11 [4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>[[1,5,6,7],[2],[3],[4]]=>6 [4,3,2,1,5,7,6]=>[4,3,2,7,1,5,6]=>[6,5,1,7,2,3,4]=>[[1,4,6,7],[2,5],[3]]=>7 [4,3,2,1,6,5,7]=>[4,3,2,6,1,5,7]=>[7,5,1,6,2,3,4]=>[[1,4,6,7],[2,5],[3]]=>7 [4,3,2,1,6,7,5]=>[4,3,2,6,7,1,5]=>[5,1,7,6,2,3,4]=>[[1,3,6,7],[2,4],[5]]=>8 [4,3,2,1,7,5,6]=>[4,3,7,2,1,5,6]=>[6,5,1,2,7,3,4]=>[[1,4,5,7],[2,6],[3]]=>8 [4,3,2,1,7,6,5]=>[4,3,7,2,6,1,5]=>[5,1,6,2,7,3,4]=>[[1,3,5,7],[2,4,6]]=>9 [4,3,2,5,1,6,7]=>[4,3,2,5,1,6,7]=>[7,6,1,5,2,3,4]=>[[1,4,6,7],[2],[3],[5]]=>7 [4,3,2,5,1,7,6]=>[4,3,2,5,7,1,6]=>[6,1,7,5,2,3,4]=>[[1,3,6,7],[2,4],[5]]=>8 [4,3,2,5,6,1,7]=>[4,3,2,5,6,1,7]=>[7,1,6,5,2,3,4]=>[[1,3,6,7],[2],[4],[5]]=>8 [4,3,2,5,6,7,1]=>[4,3,2,5,6,7,1]=>[1,7,6,5,2,3,4]=>[[1,2,6,7],[3],[4],[5]]=>9 [4,3,2,5,7,1,6]=>[4,3,7,2,5,1,6]=>[6,1,5,2,7,3,4]=>[[1,3,5,7],[2,6],[4]]=>9 [4,3,2,5,7,6,1]=>[4,3,7,2,5,6,1]=>[1,6,5,2,7,3,4]=>[[1,2,5,7],[3,6],[4]]=>10 [4,3,2,6,1,5,7]=>[4,3,6,2,1,5,7]=>[7,5,1,2,6,3,4]=>[[1,4,5,7],[2,6],[3]]=>8 [4,3,2,6,1,7,5]=>[4,3,6,2,7,1,5]=>[5,1,7,2,6,3,4]=>[[1,3,5,7],[2,4],[6]]=>9 [4,3,2,6,5,1,7]=>[4,3,6,2,5,1,7]=>[7,1,5,2,6,3,4]=>[[1,3,5,7],[2,6],[4]]=>9 [4,3,2,6,5,7,1]=>[4,3,6,2,5,7,1]=>[1,7,5,2,6,3,4]=>[[1,2,5,7],[3,6],[4]]=>10 [4,3,2,6,7,1,5]=>[4,3,6,7,2,1,5]=>[5,1,2,7,6,3,4]=>[[1,3,4,7],[2,5],[6]]=>10 [4,3,2,6,7,5,1]=>[4,3,6,7,2,5,1]=>[1,5,2,7,6,3,4]=>[[1,2,4,7],[3,5],[6]]=>11 [4,3,2,7,1,5,6]=>[4,7,3,2,1,5,6]=>[6,5,1,2,3,7,4]=>[[1,4,5,6],[2,7],[3]]=>9 [4,3,2,7,1,6,5]=>[4,7,3,2,6,1,5]=>[5,1,6,2,3,7,4]=>[[1,3,5,6],[2,4,7]]=>10 [4,3,2,7,5,1,6]=>[4,7,3,2,5,1,6]=>[6,1,5,2,3,7,4]=>[[1,3,5,6],[2,7],[4]]=>10 [4,3,2,7,5,6,1]=>[4,7,3,2,5,6,1]=>[1,6,5,2,3,7,4]=>[[1,2,5,6],[3,7],[4]]=>11 [4,3,2,7,6,1,5]=>[4,7,3,6,2,1,5]=>[5,1,2,6,3,7,4]=>[[1,3,4,6],[2,5,7]]=>11 [4,3,2,7,6,5,1]=>[4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4]=>[[1,2,4,6],[3,5,7]]=>12 [4,3,5,1,2,6,7]=>[4,3,1,5,2,6,7]=>[7,6,2,5,1,3,4]=>[[1,4,7],[2,6],[3],[5]]=>7 [4,3,5,1,2,7,6]=>[4,3,1,5,7,2,6]=>[6,2,7,5,1,3,4]=>[[1,3,7],[2,4],[5,6]]=>8 [4,3,5,1,6,2,7]=>[4,3,1,5,6,2,7]=>[7,2,6,5,1,3,4]=>[[1,3,7],[2,6],[4],[5]]=>8 [4,3,5,1,6,7,2]=>[4,3,1,5,6,7,2]=>[2,7,6,5,1,3,4]=>[[1,2,7],[3,6],[4],[5]]=>9 [4,3,5,1,7,2,6]=>[4,3,5,1,7,2,6]=>[6,2,7,1,5,3,4]=>[[1,3,7],[2,5],[4,6]]=>9 [4,3,5,1,7,6,2]=>[4,3,7,1,5,6,2]=>[2,6,5,1,7,3,4]=>[[1,2,5],[3,6,7],[4]]=>10 [4,3,5,2,1,6,7]=>[4,3,5,2,1,6,7]=>[7,6,1,2,5,3,4]=>[[1,4,5,7],[2],[3],[6]]=>8 [4,3,5,2,1,7,6]=>[4,3,5,2,7,1,6]=>[6,1,7,2,5,3,4]=>[[1,3,5,7],[2,4],[6]]=>9 [4,3,5,2,6,1,7]=>[4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4]=>[[1,3,5,7],[2],[4],[6]]=>9 [4,3,5,2,6,7,1]=>[4,3,5,2,6,7,1]=>[1,7,6,2,5,3,4]=>[[1,2,5,7],[3],[4],[6]]=>10 [4,3,5,2,7,1,6]=>[4,3,5,7,2,1,6]=>[6,1,2,7,5,3,4]=>[[1,3,4,7],[2,5],[6]]=>10 [4,3,5,2,7,6,1]=>[4,3,5,7,2,6,1]=>[1,6,2,7,5,3,4]=>[[1,2,4,7],[3,5],[6]]=>11 [4,3,5,6,1,2,7]=>[4,3,5,1,6,2,7]=>[7,2,6,1,5,3,4]=>[[1,3,7],[2,5],[4],[6]]=>9 [4,3,5,6,1,7,2]=>[4,3,5,1,6,7,2]=>[2,7,6,1,5,3,4]=>[[1,2,7],[3,5],[4],[6]]=>10 [4,3,5,6,2,1,7]=>[4,3,5,6,2,1,7]=>[7,1,2,6,5,3,4]=>[[1,3,4,7],[2],[5],[6]]=>10 [4,3,5,6,2,7,1]=>[4,3,5,6,2,7,1]=>[1,7,2,6,5,3,4]=>[[1,2,4,7],[3],[5],[6]]=>11 [4,3,5,6,7,1,2]=>[4,3,5,6,1,7,2]=>[2,7,1,6,5,3,4]=>[[1,2,7],[3,4],[5],[6]]=>11 [4,3,5,6,7,2,1]=>[4,3,5,6,7,2,1]=>[1,2,7,6,5,3,4]=>[[1,2,3,7],[4],[5],[6]]=>12 [4,3,5,7,1,2,6]=>[4,7,3,1,5,2,6]=>[6,2,5,1,3,7,4]=>[[1,3,6],[2,5,7],[4]]=>10 [4,3,5,7,1,6,2]=>[4,3,5,7,1,6,2]=>[2,6,1,7,5,3,4]=>[[1,2,4],[3,5,7],[6]]=>11 [4,3,5,7,2,1,6]=>[4,7,3,5,2,1,6]=>[6,1,2,5,3,7,4]=>[[1,3,4,6],[2,7],[5]]=>11 [4,3,5,7,2,6,1]=>[4,7,3,5,2,6,1]=>[1,6,2,5,3,7,4]=>[[1,2,4,6],[3,7],[5]]=>12 [4,3,5,7,6,1,2]=>[4,7,3,5,1,6,2]=>[2,6,1,5,3,7,4]=>[[1,2,6],[3,4,7],[5]]=>12 [4,3,5,7,6,2,1]=>[4,7,3,5,6,2,1]=>[1,2,6,5,3,7,4]=>[[1,2,3,6],[4,7],[5]]=>13 [4,3,6,1,2,5,7]=>[4,1,6,3,2,5,7]=>[7,5,2,3,6,1,4]=>[[1,4,5],[2,7],[3],[6]]=>8 [4,3,6,1,2,7,5]=>[4,1,6,3,7,2,5]=>[5,2,7,3,6,1,4]=>[[1,3,5],[2,4],[6,7]]=>9 [4,3,6,1,5,2,7]=>[4,3,6,1,5,2,7]=>[7,2,5,1,6,3,4]=>[[1,3,5],[2,6,7],[4]]=>9 [4,3,6,1,5,7,2]=>[4,3,6,1,5,7,2]=>[2,7,5,1,6,3,4]=>[[1,2,5],[3,6,7],[4]]=>10 [4,3,6,1,7,2,5]=>[4,6,3,1,7,2,5]=>[5,2,7,1,3,6,4]=>[[1,3,6],[2,5],[4,7]]=>10 [4,3,6,1,7,5,2]=>[4,3,6,7,1,5,2]=>[2,5,1,7,6,3,4]=>[[1,2,4],[3,5,7],[6]]=>11 [4,3,6,2,1,5,7]=>[4,6,3,2,1,5,7]=>[7,5,1,2,3,6,4]=>[[1,4,5,6],[2,7],[3]]=>9 [4,3,6,2,1,7,5]=>[4,6,3,2,7,1,5]=>[5,1,7,2,3,6,4]=>[[1,3,5,6],[2,4],[7]]=>10 [4,3,6,2,5,1,7]=>[4,6,3,2,5,1,7]=>[7,1,5,2,3,6,4]=>[[1,3,5,6],[2,7],[4]]=>10 [4,3,6,2,5,7,1]=>[4,6,3,2,5,7,1]=>[1,7,5,2,3,6,4]=>[[1,2,5,6],[3,7],[4]]=>11 [4,3,6,2,7,1,5]=>[4,6,3,7,2,1,5]=>[5,1,2,7,3,6,4]=>[[1,3,4,6],[2,5],[7]]=>11 [4,3,6,2,7,5,1]=>[4,6,3,7,2,5,1]=>[1,5,2,7,3,6,4]=>[[1,2,4,6],[3,5],[7]]=>12 [4,3,6,5,1,2,7]=>[4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4]=>[[1,3,6],[2,5,7],[4]]=>10 [4,3,6,5,1,7,2]=>[4,6,3,1,5,7,2]=>[2,7,5,1,3,6,4]=>[[1,2,6],[3,5,7],[4]]=>11 [4,3,6,5,2,1,7]=>[4,6,3,5,2,1,7]=>[7,1,2,5,3,6,4]=>[[1,3,4,6],[2,7],[5]]=>11 [4,3,6,5,2,7,1]=>[4,6,3,5,2,7,1]=>[1,7,2,5,3,6,4]=>[[1,2,4,6],[3,7],[5]]=>12 [4,3,6,5,7,1,2]=>[4,6,3,5,1,7,2]=>[2,7,1,5,3,6,4]=>[[1,2,6],[3,4,7],[5]]=>12 [4,3,6,5,7,2,1]=>[4,6,3,5,7,2,1]=>[1,2,7,5,3,6,4]=>[[1,2,3,6],[4,7],[5]]=>13 [4,3,6,7,1,2,5]=>[4,6,1,7,3,2,5]=>[5,2,3,7,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>11 [4,3,6,7,1,5,2]=>[4,6,3,7,1,5,2]=>[2,5,1,7,3,6,4]=>[[1,2,4],[3,5,6],[7]]=>12 [4,3,6,7,2,1,5]=>[4,6,7,3,2,1,5]=>[5,1,2,3,7,6,4]=>[[1,3,4,5],[2,6],[7]]=>12 [4,3,6,7,2,5,1]=>[4,6,7,3,2,5,1]=>[1,5,2,3,7,6,4]=>[[1,2,4,5],[3,6],[7]]=>13 [4,3,6,7,5,1,2]=>[4,6,7,3,1,5,2]=>[2,5,1,3,7,6,4]=>[[1,2,5],[3,4,6],[7]]=>13 [4,3,6,7,5,2,1]=>[4,6,7,3,5,2,1]=>[1,2,5,3,7,6,4]=>[[1,2,3,5],[4,6],[7]]=>14 [4,3,7,1,2,5,6]=>[1,7,4,3,2,5,6]=>[6,5,2,3,4,7,1]=>[[1,4,5,6],[2],[3],[7]]=>9 [4,3,7,1,2,6,5]=>[1,7,4,3,6,2,5]=>[5,2,6,3,4,7,1]=>[[1,3,5,6],[2,4],[7]]=>10 [4,3,7,1,5,2,6]=>[1,7,4,3,5,2,6]=>[6,2,5,3,4,7,1]=>[[1,3,5,6],[2],[4],[7]]=>10 [4,3,7,1,5,6,2]=>[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[[1,2,6],[3,5,7],[4]]=>11 [4,3,7,1,6,2,5]=>[7,4,3,1,6,2,5]=>[5,2,6,1,3,4,7]=>[[1,3,6,7],[2,5],[4]]=>11 [4,3,7,1,6,5,2]=>[4,7,3,6,1,5,2]=>[2,5,1,6,3,7,4]=>[[1,2,4,6],[3,5,7]]=>12 [4,3,7,2,1,5,6]=>[7,4,3,2,1,5,6]=>[6,5,1,2,3,4,7]=>[[1,4,5,6,7],[2],[3]]=>10 [4,3,7,2,1,6,5]=>[7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7]=>[[1,3,5,6,7],[2,4]]=>11 [4,3,7,2,5,1,6]=>[7,4,3,2,5,1,6]=>[6,1,5,2,3,4,7]=>[[1,3,5,6,7],[2],[4]]=>11 [4,3,7,2,5,6,1]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[[1,2,5,6,7],[3],[4]]=>12 [4,3,7,2,6,1,5]=>[7,4,3,6,2,1,5]=>[5,1,2,6,3,4,7]=>[[1,3,4,6,7],[2,5]]=>12 [4,3,7,2,6,5,1]=>[7,4,3,6,2,5,1]=>[1,5,2,6,3,4,7]=>[[1,2,4,6,7],[3,5]]=>13 [4,3,7,5,1,2,6]=>[7,4,3,1,5,2,6]=>[6,2,5,1,3,4,7]=>[[1,3,6,7],[2,5],[4]]=>11 [4,3,7,5,1,6,2]=>[7,4,3,1,5,6,2]=>[2,6,5,1,3,4,7]=>[[1,2,6,7],[3,5],[4]]=>12 [4,3,7,5,2,1,6]=>[7,4,3,5,2,1,6]=>[6,1,2,5,3,4,7]=>[[1,3,4,6,7],[2],[5]]=>12 [4,3,7,5,2,6,1]=>[7,4,3,5,2,6,1]=>[1,6,2,5,3,4,7]=>[[1,2,4,6,7],[3],[5]]=>13 [4,3,7,5,6,1,2]=>[7,4,3,5,1,6,2]=>[2,6,1,5,3,4,7]=>[[1,2,6,7],[3,4],[5]]=>13 [4,3,7,5,6,2,1]=>[7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7]=>[[1,2,3,6,7],[4],[5]]=>14 [4,3,7,6,1,2,5]=>[7,4,1,6,3,2,5]=>[5,2,3,6,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>12 [4,3,7,6,1,5,2]=>[7,4,3,6,1,5,2]=>[2,5,1,6,3,4,7]=>[[1,2,4,7],[3,5,6]]=>13 [4,3,7,6,2,1,5]=>[7,4,6,3,2,1,5]=>[5,1,2,3,6,4,7]=>[[1,3,4,5,7],[2,6]]=>13 [4,3,7,6,2,5,1]=>[7,4,6,3,2,5,1]=>[1,5,2,3,6,4,7]=>[[1,2,4,5,7],[3,6]]=>14 [4,3,7,6,5,1,2]=>[7,4,6,3,1,5,2]=>[2,5,1,3,6,4,7]=>[[1,2,5,7],[3,4,6]]=>14 [4,3,7,6,5,2,1]=>[7,4,6,3,5,2,1]=>[1,2,5,3,6,4,7]=>[[1,2,3,5,7],[4,6]]=>15 [4,5,1,2,3,6,7]=>[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>6 [4,5,1,2,3,7,6]=>[1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1]=>[[1,3],[2,4],[5,6],[7]]=>7 [4,5,1,2,6,3,7]=>[1,4,2,5,6,3,7]=>[7,3,6,5,2,4,1]=>[[1,3],[2,6],[4],[5],[7]]=>7 [4,5,1,2,6,7,3]=>[1,4,2,5,6,7,3]=>[3,7,6,5,2,4,1]=>[[1,2],[3,6],[4],[5],[7]]=>8 [4,5,1,2,7,3,6]=>[1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1]=>[[1,3],[2,5],[4,6],[7]]=>8 [4,5,1,2,7,6,3]=>[1,4,7,2,5,6,3]=>[3,6,5,2,7,4,1]=>[[1,2,5],[3,6],[4],[7]]=>9 [4,5,1,3,2,6,7]=>[1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1]=>[[1,4,5],[2],[3],[6],[7]]=>7 [4,5,1,3,2,7,6]=>[1,4,5,3,7,2,6]=>[6,2,7,3,5,4,1]=>[[1,3,5],[2,4],[6],[7]]=>8 [4,5,1,3,6,2,7]=>[1,4,5,3,6,2,7]=>[7,2,6,3,5,4,1]=>[[1,3,5],[2],[4],[6],[7]]=>8 [4,5,1,3,6,7,2]=>[1,4,5,3,6,7,2]=>[2,7,6,3,5,4,1]=>[[1,2,5],[3],[4],[6],[7]]=>9 [4,5,1,3,7,2,6]=>[1,4,5,7,3,2,6]=>[6,2,3,7,5,4,1]=>[[1,3,4],[2,5],[6],[7]]=>9 [4,5,1,3,7,6,2]=>[1,4,5,7,3,6,2]=>[2,6,3,7,5,4,1]=>[[1,2,4],[3,5],[6],[7]]=>10 [4,5,1,6,2,3,7]=>[1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1]=>[[1,3],[2,5],[4],[6],[7]]=>8 [4,5,1,6,2,7,3]=>[1,4,5,2,6,7,3]=>[3,7,6,2,5,4,1]=>[[1,2],[3,5],[4],[6],[7]]=>9 [4,5,1,6,3,2,7]=>[1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>9 [4,5,1,6,3,7,2]=>[1,4,5,6,3,7,2]=>[2,7,3,6,5,4,1]=>[[1,2,4],[3],[5],[6],[7]]=>10 [4,5,1,6,7,2,3]=>[1,4,5,6,2,7,3]=>[3,7,2,6,5,4,1]=>[[1,2],[3,4],[5],[6],[7]]=>10 [4,5,1,6,7,3,2]=>[1,4,5,6,7,3,2]=>[2,3,7,6,5,4,1]=>[[1,2,3],[4],[5],[6],[7]]=>11 [4,5,1,7,2,3,6]=>[4,1,5,2,7,3,6]=>[6,3,7,2,5,1,4]=>[[1,3],[2,5],[4,7],[6]]=>9 [4,5,1,7,2,6,3]=>[1,4,5,7,2,6,3]=>[3,6,2,7,5,4,1]=>[[1,2,4],[3,5],[6],[7]]=>10 [4,5,1,7,3,2,6]=>[4,1,5,7,3,2,6]=>[6,2,3,7,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>10 [4,5,1,7,3,6,2]=>[7,1,4,5,3,6,2]=>[2,6,3,5,4,1,7]=>[[1,2,4,7],[3],[5],[6]]=>11 [4,5,1,7,6,2,3]=>[7,1,4,5,2,6,3]=>[3,6,2,5,4,1,7]=>[[1,2,7],[3,4],[5],[6]]=>11 [4,5,1,7,6,3,2]=>[7,1,4,5,6,3,2]=>[2,3,6,5,4,1,7]=>[[1,2,3,7],[4],[5],[6]]=>12 [4,5,2,1,3,6,7]=>[4,2,1,5,3,6,7]=>[7,6,3,5,1,2,4]=>[[1,4,7],[2,6],[3],[5]]=>7 [4,5,2,1,3,7,6]=>[4,2,1,5,7,3,6]=>[6,3,7,5,1,2,4]=>[[1,3,7],[2,4],[5,6]]=>8 [4,5,2,1,6,3,7]=>[4,2,1,5,6,3,7]=>[7,3,6,5,1,2,4]=>[[1,3,7],[2,6],[4],[5]]=>8 [4,5,2,1,6,7,3]=>[4,2,1,5,6,7,3]=>[3,7,6,5,1,2,4]=>[[1,2,7],[3,6],[4],[5]]=>9 [4,5,2,1,7,3,6]=>[4,2,5,1,7,3,6]=>[6,3,7,1,5,2,4]=>[[1,3,7],[2,5],[4,6]]=>9 [4,5,2,1,7,6,3]=>[4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>[[1,2,5],[3,6,7],[4]]=>10 [4,5,2,3,1,6,7]=>[4,2,5,3,1,6,7]=>[7,6,1,3,5,2,4]=>[[1,4,5],[2,7],[3],[6]]=>8 [4,5,2,3,1,7,6]=>[4,2,5,3,7,1,6]=>[6,1,7,3,5,2,4]=>[[1,3,5],[2,4],[6,7]]=>9 [4,5,2,3,6,1,7]=>[4,2,5,3,6,1,7]=>[7,1,6,3,5,2,4]=>[[1,3,5],[2,7],[4],[6]]=>9 [4,5,2,3,6,7,1]=>[4,2,5,3,6,7,1]=>[1,7,6,3,5,2,4]=>[[1,2,5],[3,7],[4],[6]]=>10 [4,5,2,3,7,1,6]=>[4,2,5,7,3,1,6]=>[6,1,3,7,5,2,4]=>[[1,3,4],[2,5],[6,7]]=>10 [4,5,2,3,7,6,1]=>[4,2,5,7,3,6,1]=>[1,6,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>11 [4,5,2,6,1,3,7]=>[4,2,5,1,6,3,7]=>[7,3,6,1,5,2,4]=>[[1,3,7],[2,5],[4],[6]]=>9 [4,5,2,6,1,7,3]=>[4,2,5,1,6,7,3]=>[3,7,6,1,5,2,4]=>[[1,2,7],[3,5],[4],[6]]=>10 [4,5,2,6,3,1,7]=>[4,2,5,6,3,1,7]=>[7,1,3,6,5,2,4]=>[[1,3,4],[2,7],[5],[6]]=>10 [4,5,2,6,3,7,1]=>[4,2,5,6,3,7,1]=>[1,7,3,6,5,2,4]=>[[1,2,4],[3,7],[5],[6]]=>11 [4,5,2,6,7,1,3]=>[4,2,5,6,1,7,3]=>[3,7,1,6,5,2,4]=>[[1,2,7],[3,4],[5],[6]]=>11 [4,5,2,6,7,3,1]=>[4,2,5,6,7,3,1]=>[1,3,7,6,5,2,4]=>[[1,2,3],[4,7],[5],[6]]=>12 [4,5,2,7,1,3,6]=>[4,5,2,1,7,3,6]=>[6,3,7,1,2,5,4]=>[[1,3,6],[2,5],[4,7]]=>10 [4,5,2,7,1,6,3]=>[4,2,5,7,1,6,3]=>[3,6,1,7,5,2,4]=>[[1,2,4],[3,5,7],[6]]=>11 [4,5,2,7,3,1,6]=>[4,5,2,7,3,1,6]=>[6,1,3,7,2,5,4]=>[[1,3,4],[2,6],[5,7]]=>11 [4,5,2,7,3,6,1]=>[4,5,2,7,3,6,1]=>[1,6,3,7,2,5,4]=>[[1,2,4],[3,6],[5,7]]=>12 [4,5,2,7,6,1,3]=>[4,7,2,5,1,6,3]=>[3,6,1,5,2,7,4]=>[[1,2,6],[3,4,7],[5]]=>12 [4,5,2,7,6,3,1]=>[4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4]=>[[1,2,3,6],[4,7],[5]]=>13 [4,5,3,1,2,6,7]=>[4,1,5,3,2,6,7]=>[7,6,2,3,5,1,4]=>[[1,4,5],[2,7],[3],[6]]=>8 [4,5,3,1,2,7,6]=>[4,1,5,3,7,2,6]=>[6,2,7,3,5,1,4]=>[[1,3,5],[2,4],[6,7]]=>9 [4,5,3,1,6,2,7]=>[4,1,5,3,6,2,7]=>[7,2,6,3,5,1,4]=>[[1,3,5],[2,7],[4],[6]]=>9 [4,5,3,1,6,7,2]=>[4,1,5,3,6,7,2]=>[2,7,6,3,5,1,4]=>[[1,2,5],[3,7],[4],[6]]=>10 [4,5,3,1,7,2,6]=>[4,5,3,1,7,2,6]=>[6,2,7,1,3,5,4]=>[[1,3,6],[2,5],[4,7]]=>10 [4,5,3,1,7,6,2]=>[4,1,5,7,3,6,2]=>[2,6,3,7,5,1,4]=>[[1,2,4],[3,5],[6,7]]=>11 [4,5,3,2,1,6,7]=>[4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4]=>[[1,4,5,6],[2],[3],[7]]=>9 [4,5,3,2,1,7,6]=>[4,5,3,2,7,1,6]=>[6,1,7,2,3,5,4]=>[[1,3,5,6],[2,4],[7]]=>10 [4,5,3,2,6,1,7]=>[4,5,3,2,6,1,7]=>[7,1,6,2,3,5,4]=>[[1,3,5,6],[2],[4],[7]]=>10 [4,5,3,2,6,7,1]=>[4,5,3,2,6,7,1]=>[1,7,6,2,3,5,4]=>[[1,2,5,6],[3],[4],[7]]=>11 [4,5,3,2,7,1,6]=>[4,5,3,7,2,1,6]=>[6,1,2,7,3,5,4]=>[[1,3,4,6],[2,5],[7]]=>11 [4,5,3,2,7,6,1]=>[4,5,3,7,2,6,1]=>[1,6,2,7,3,5,4]=>[[1,2,4,6],[3,5],[7]]=>12 [4,5,3,6,1,2,7]=>[4,5,3,1,6,2,7]=>[7,2,6,1,3,5,4]=>[[1,3,6],[2,5],[4],[7]]=>10 [4,5,3,6,1,7,2]=>[4,5,3,1,6,7,2]=>[2,7,6,1,3,5,4]=>[[1,2,6],[3,5],[4],[7]]=>11 [4,5,3,6,2,1,7]=>[4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4]=>[[1,3,4,6],[2],[5],[7]]=>11 [4,5,3,6,2,7,1]=>[4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4]=>[[1,2,4,6],[3],[5],[7]]=>12 [4,5,3,6,7,1,2]=>[4,5,3,6,1,7,2]=>[2,7,1,6,3,5,4]=>[[1,2,6],[3,4],[5],[7]]=>12 [4,5,3,6,7,2,1]=>[4,5,3,6,7,2,1]=>[1,2,7,6,3,5,4]=>[[1,2,3,6],[4],[5],[7]]=>13 [4,5,3,7,1,2,6]=>[4,5,1,7,3,2,6]=>[6,2,3,7,1,5,4]=>[[1,3,4],[2,6],[5,7]]=>11 [4,5,3,7,1,6,2]=>[4,5,3,7,1,6,2]=>[2,6,1,7,3,5,4]=>[[1,2,4],[3,5,6],[7]]=>12 [4,5,3,7,2,1,6]=>[4,5,7,3,2,1,6]=>[6,1,2,3,7,5,4]=>[[1,3,4,5],[2,6],[7]]=>12 [4,5,3,7,2,6,1]=>[4,5,7,3,2,6,1]=>[1,6,2,3,7,5,4]=>[[1,2,4,5],[3,6],[7]]=>13 [4,5,3,7,6,1,2]=>[4,5,7,3,1,6,2]=>[2,6,1,3,7,5,4]=>[[1,2,5],[3,4,6],[7]]=>13 [4,5,3,7,6,2,1]=>[4,5,7,3,6,2,1]=>[1,2,6,3,7,5,4]=>[[1,2,3,5],[4,6],[7]]=>14 [4,5,6,1,2,3,7]=>[4,1,5,2,6,3,7]=>[7,3,6,2,5,1,4]=>[[1,3],[2,5],[4,7],[6]]=>9 [4,5,6,1,2,7,3]=>[4,1,5,2,6,7,3]=>[3,7,6,2,5,1,4]=>[[1,2],[3,5],[4,7],[6]]=>10 [4,5,6,1,3,2,7]=>[4,1,5,6,3,2,7]=>[7,2,3,6,5,1,4]=>[[1,3,4],[2,7],[5],[6]]=>10 [4,5,6,1,3,7,2]=>[4,1,5,6,3,7,2]=>[2,7,3,6,5,1,4]=>[[1,2,4],[3,7],[5],[6]]=>11 [4,5,6,1,7,2,3]=>[4,1,5,6,2,7,3]=>[3,7,2,6,5,1,4]=>[[1,2],[3,4],[5,7],[6]]=>11 [4,5,6,1,7,3,2]=>[4,1,5,6,7,3,2]=>[2,3,7,6,5,1,4]=>[[1,2,3],[4,7],[5],[6]]=>12 [4,5,6,2,1,3,7]=>[4,5,2,1,6,3,7]=>[7,3,6,1,2,5,4]=>[[1,3,6],[2,5],[4],[7]]=>10 [4,5,6,2,1,7,3]=>[4,5,2,1,6,7,3]=>[3,7,6,1,2,5,4]=>[[1,2,6],[3,5],[4],[7]]=>11 [4,5,6,2,3,1,7]=>[4,5,2,6,3,1,7]=>[7,1,3,6,2,5,4]=>[[1,3,4],[2,6],[5],[7]]=>11 [4,5,6,2,3,7,1]=>[4,5,2,6,3,7,1]=>[1,7,3,6,2,5,4]=>[[1,2,4],[3,6],[5],[7]]=>12 [4,5,6,2,7,1,3]=>[4,5,2,6,1,7,3]=>[3,7,1,6,2,5,4]=>[[1,2,6],[3,4],[5],[7]]=>12 [4,5,6,2,7,3,1]=>[4,5,2,6,7,3,1]=>[1,3,7,6,2,5,4]=>[[1,2,3],[4,6],[5],[7]]=>13 [4,5,6,3,1,2,7]=>[4,5,1,6,3,2,7]=>[7,2,3,6,1,5,4]=>[[1,3,4],[2,6],[5],[7]]=>11 [4,5,6,3,1,7,2]=>[4,5,1,6,3,7,2]=>[2,7,3,6,1,5,4]=>[[1,2,4],[3,6],[5],[7]]=>12 [4,5,6,3,2,1,7]=>[4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4]=>[[1,3,4,5],[2],[6],[7]]=>12 [4,5,6,3,2,7,1]=>[4,5,6,3,2,7,1]=>[1,7,2,3,6,5,4]=>[[1,2,4,5],[3],[6],[7]]=>13 [4,5,6,3,7,1,2]=>[4,5,6,3,1,7,2]=>[2,7,1,3,6,5,4]=>[[1,2,5],[3,4],[6],[7]]=>13 [4,5,6,3,7,2,1]=>[4,5,6,3,7,2,1]=>[1,2,7,3,6,5,4]=>[[1,2,3,5],[4],[6],[7]]=>14 [4,5,6,7,1,2,3]=>[4,5,1,6,2,7,3]=>[3,7,2,6,1,5,4]=>[[1,2],[3,4],[5,6],[7]]=>12 [4,5,6,7,1,3,2]=>[4,5,1,6,7,3,2]=>[2,3,7,6,1,5,4]=>[[1,2,3],[4,6],[5],[7]]=>13 [4,5,6,7,2,1,3]=>[4,5,6,2,1,7,3]=>[3,7,1,2,6,5,4]=>[[1,2,5],[3,4],[6],[7]]=>13 [4,5,6,7,2,3,1]=>[4,5,6,2,7,3,1]=>[1,3,7,2,6,5,4]=>[[1,2,3],[4,5],[6],[7]]=>14 [4,5,6,7,3,1,2]=>[4,5,6,1,7,3,2]=>[2,3,7,1,6,5,4]=>[[1,2,3],[4,5],[6],[7]]=>14 [4,5,6,7,3,2,1]=>[4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>15 [4,5,7,1,2,3,6]=>[1,7,4,2,5,3,6]=>[6,3,5,2,4,7,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [4,5,7,1,2,6,3]=>[4,1,5,7,2,6,3]=>[3,6,2,7,5,1,4]=>[[1,2,4],[3,5],[6,7]]=>11 [4,5,7,1,3,2,6]=>[4,7,1,5,3,2,6]=>[6,2,3,5,1,7,4]=>[[1,3,4,6],[2,7],[5]]=>11 [4,5,7,1,3,6,2]=>[4,5,1,7,3,6,2]=>[2,6,3,7,1,5,4]=>[[1,2,4],[3,6],[5,7]]=>12 [4,5,7,1,6,2,3]=>[4,5,1,7,2,6,3]=>[3,6,2,7,1,5,4]=>[[1,2,4],[3,6],[5,7]]=>12 [4,5,7,1,6,3,2]=>[4,7,1,5,6,3,2]=>[2,3,6,5,1,7,4]=>[[1,2,3,6],[4,7],[5]]=>13 [4,5,7,2,1,3,6]=>[7,4,2,1,5,3,6]=>[6,3,5,1,2,4,7]=>[[1,3,6,7],[2,5],[4]]=>11 [4,5,7,2,1,6,3]=>[4,5,2,7,1,6,3]=>[3,6,1,7,2,5,4]=>[[1,2,4],[3,5,6],[7]]=>12 [4,5,7,2,3,1,6]=>[7,4,2,5,3,1,6]=>[6,1,3,5,2,4,7]=>[[1,3,4,7],[2,6],[5]]=>12 [4,5,7,2,3,6,1]=>[7,4,2,5,3,6,1]=>[1,6,3,5,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>13 [4,5,7,2,6,1,3]=>[4,5,7,2,1,6,3]=>[3,6,1,2,7,5,4]=>[[1,2,5],[3,4,6],[7]]=>13 [4,5,7,2,6,3,1]=>[4,5,7,2,6,3,1]=>[1,3,6,2,7,5,4]=>[[1,2,3,5],[4,6],[7]]=>14 [4,5,7,3,1,2,6]=>[7,4,1,5,3,2,6]=>[6,2,3,5,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>12 [4,5,7,3,1,6,2]=>[7,4,1,5,3,6,2]=>[2,6,3,5,1,4,7]=>[[1,2,4,7],[3,6],[5]]=>13 [4,5,7,3,2,1,6]=>[7,4,5,3,2,1,6]=>[6,1,2,3,5,4,7]=>[[1,3,4,5,7],[2],[6]]=>13 [4,5,7,3,2,6,1]=>[7,4,5,3,2,6,1]=>[1,6,2,3,5,4,7]=>[[1,2,4,5,7],[3],[6]]=>14 [4,5,7,3,6,1,2]=>[7,4,5,3,1,6,2]=>[2,6,1,3,5,4,7]=>[[1,2,5,7],[3,4],[6]]=>14 [4,5,7,3,6,2,1]=>[7,4,5,3,6,2,1]=>[1,2,6,3,5,4,7]=>[[1,2,3,5,7],[4],[6]]=>15 [4,5,7,6,1,2,3]=>[7,4,1,5,2,6,3]=>[3,6,2,5,1,4,7]=>[[1,2,7],[3,4],[5,6]]=>13 [4,5,7,6,1,3,2]=>[4,5,7,1,6,3,2]=>[2,3,6,1,7,5,4]=>[[1,2,3,5],[4,6],[7]]=>14 [4,5,7,6,2,1,3]=>[7,4,5,2,1,6,3]=>[3,6,1,2,5,4,7]=>[[1,2,5,7],[3,4],[6]]=>14 [4,5,7,6,2,3,1]=>[7,4,5,2,6,3,1]=>[1,3,6,2,5,4,7]=>[[1,2,3,7],[4,5],[6]]=>15 [4,5,7,6,3,1,2]=>[7,4,5,1,6,3,2]=>[2,3,6,1,5,4,7]=>[[1,2,3,7],[4,5],[6]]=>15 [4,5,7,6,3,2,1]=>[7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7]=>[[1,2,3,4,7],[5],[6]]=>16 [4,6,1,2,3,5,7]=>[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>7 [4,6,1,2,3,7,5]=>[1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1]=>[[1,3,5],[2,4],[6],[7]]=>8 [4,6,1,2,5,3,7]=>[1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1]=>[[1,3,5],[2,6],[4],[7]]=>8 [4,6,1,2,5,7,3]=>[1,4,6,2,5,7,3]=>[3,7,5,2,6,4,1]=>[[1,2,5],[3,6],[4],[7]]=>9 [4,6,1,2,7,3,5]=>[6,1,4,2,7,3,5]=>[5,3,7,2,4,1,6]=>[[1,3,7],[2,5],[4],[6]]=>9 [4,6,1,2,7,5,3]=>[1,4,6,7,2,5,3]=>[3,5,2,7,6,4,1]=>[[1,2,4],[3,5],[6],[7]]=>10 [4,6,1,3,2,5,7]=>[6,1,4,3,2,5,7]=>[7,5,2,3,4,1,6]=>[[1,4,5,7],[2],[3],[6]]=>8 [4,6,1,3,2,7,5]=>[6,1,4,3,7,2,5]=>[5,2,7,3,4,1,6]=>[[1,3,5,7],[2,4],[6]]=>9 [4,6,1,3,5,2,7]=>[4,1,6,3,5,2,7]=>[7,2,5,3,6,1,4]=>[[1,3,5],[2,7],[4],[6]]=>9 [4,6,1,3,5,7,2]=>[4,1,6,3,5,7,2]=>[2,7,5,3,6,1,4]=>[[1,2,5],[3,7],[4],[6]]=>10 [4,6,1,3,7,2,5]=>[6,1,4,7,3,2,5]=>[5,2,3,7,4,1,6]=>[[1,3,4,7],[2,5],[6]]=>10 [4,6,1,3,7,5,2]=>[4,1,6,7,3,5,2]=>[2,5,3,7,6,1,4]=>[[1,2,4],[3,5],[6,7]]=>11 [4,6,1,5,2,3,7]=>[4,1,6,2,5,3,7]=>[7,3,5,2,6,1,4]=>[[1,3,5],[2,7],[4],[6]]=>9 [4,6,1,5,2,7,3]=>[4,1,6,2,5,7,3]=>[3,7,5,2,6,1,4]=>[[1,2,5],[3,7],[4],[6]]=>10 [4,6,1,5,3,2,7]=>[6,1,4,5,3,2,7]=>[7,2,3,5,4,1,6]=>[[1,3,4,7],[2],[5],[6]]=>10 [4,6,1,5,3,7,2]=>[6,1,4,5,3,7,2]=>[2,7,3,5,4,1,6]=>[[1,2,4,7],[3],[5],[6]]=>11 [4,6,1,5,7,2,3]=>[6,1,4,5,2,7,3]=>[3,7,2,5,4,1,6]=>[[1,2,7],[3,4],[5],[6]]=>11 [4,6,1,5,7,3,2]=>[6,1,4,5,7,3,2]=>[2,3,7,5,4,1,6]=>[[1,2,3,7],[4],[5],[6]]=>12 [4,6,1,7,2,3,5]=>[1,6,4,2,7,3,5]=>[5,3,7,2,4,6,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [4,6,1,7,2,5,3]=>[4,1,6,7,2,5,3]=>[3,5,2,7,6,1,4]=>[[1,2,4],[3,5],[6,7]]=>11 [4,6,1,7,3,2,5]=>[1,6,4,7,3,2,5]=>[5,2,3,7,4,6,1]=>[[1,3,4,6],[2,5],[7]]=>11 [4,6,1,7,3,5,2]=>[4,6,1,7,3,5,2]=>[2,5,3,7,1,6,4]=>[[1,2,4],[3,6],[5,7]]=>12 [4,6,1,7,5,2,3]=>[4,6,1,7,2,5,3]=>[3,5,2,7,1,6,4]=>[[1,2,4],[3,6],[5,7]]=>12 [4,6,1,7,5,3,2]=>[6,7,1,4,5,3,2]=>[2,3,5,4,1,7,6]=>[[1,2,3,6],[4,7],[5]]=>13 [4,6,2,1,3,5,7]=>[2,1,6,4,3,5,7]=>[7,5,3,4,6,1,2]=>[[1,4,5],[2,7],[3],[6]]=>8 [4,6,2,1,3,7,5]=>[2,1,6,4,7,3,5]=>[5,3,7,4,6,1,2]=>[[1,3,5],[2,4],[6,7]]=>9 [4,6,2,1,5,3,7]=>[4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4]=>[[1,3,5],[2,6,7],[4]]=>9 [4,6,2,1,5,7,3]=>[4,2,6,1,5,7,3]=>[3,7,5,1,6,2,4]=>[[1,2,5],[3,6,7],[4]]=>10 [4,6,2,1,7,3,5]=>[2,6,4,1,7,3,5]=>[5,3,7,1,4,6,2]=>[[1,3,6],[2,5],[4,7]]=>10 [4,6,2,1,7,5,3]=>[4,2,6,7,1,5,3]=>[3,5,1,7,6,2,4]=>[[1,2,4],[3,5,7],[6]]=>11 [4,6,2,3,1,5,7]=>[2,6,4,3,1,5,7]=>[7,5,1,3,4,6,2]=>[[1,4,5,6],[2],[3],[7]]=>9 [4,6,2,3,1,7,5]=>[2,6,4,3,7,1,5]=>[5,1,7,3,4,6,2]=>[[1,3,5,6],[2,4],[7]]=>10 [4,6,2,3,5,1,7]=>[2,6,4,3,5,1,7]=>[7,1,5,3,4,6,2]=>[[1,3,5,6],[2],[4],[7]]=>10 [4,6,2,3,5,7,1]=>[2,6,4,3,5,7,1]=>[1,7,5,3,4,6,2]=>[[1,2,5,6],[3],[4],[7]]=>11 [4,6,2,3,7,1,5]=>[2,6,4,7,3,1,5]=>[5,1,3,7,4,6,2]=>[[1,3,4,6],[2,5],[7]]=>11 [4,6,2,3,7,5,1]=>[2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2]=>[[1,2,4,6],[3,5],[7]]=>12 [4,6,2,5,1,3,7]=>[4,6,2,1,5,3,7]=>[7,3,5,1,2,6,4]=>[[1,3,6],[2,5,7],[4]]=>10 [4,6,2,5,1,7,3]=>[4,6,2,1,5,7,3]=>[3,7,5,1,2,6,4]=>[[1,2,6],[3,5,7],[4]]=>11 [4,6,2,5,3,1,7]=>[4,6,2,5,3,1,7]=>[7,1,3,5,2,6,4]=>[[1,3,4,6],[2,7],[5]]=>11 [4,6,2,5,3,7,1]=>[4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4]=>[[1,2,4,6],[3,7],[5]]=>12 [4,6,2,5,7,1,3]=>[4,6,2,5,1,7,3]=>[3,7,1,5,2,6,4]=>[[1,2,6],[3,4,7],[5]]=>12 [4,6,2,5,7,3,1]=>[4,6,2,5,7,3,1]=>[1,3,7,5,2,6,4]=>[[1,2,3,6],[4,7],[5]]=>13 [4,6,2,7,1,3,5]=>[6,4,2,1,7,3,5]=>[5,3,7,1,2,4,6]=>[[1,3,6,7],[2,5],[4]]=>11 [4,6,2,7,1,5,3]=>[4,6,2,7,1,5,3]=>[3,5,1,7,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>12 [4,6,2,7,3,1,5]=>[6,4,2,7,3,1,5]=>[5,1,3,7,2,4,6]=>[[1,3,4,7],[2,6],[5]]=>12 [4,6,2,7,3,5,1]=>[6,4,2,7,3,5,1]=>[1,5,3,7,2,4,6]=>[[1,2,4,7],[3,6],[5]]=>13 [4,6,2,7,5,1,3]=>[4,6,7,2,1,5,3]=>[3,5,1,2,7,6,4]=>[[1,2,5],[3,4,6],[7]]=>13 [4,6,2,7,5,3,1]=>[4,6,7,2,5,3,1]=>[1,3,5,2,7,6,4]=>[[1,2,3,5],[4,6],[7]]=>14 [4,6,3,1,2,5,7]=>[1,6,4,3,2,5,7]=>[7,5,2,3,4,6,1]=>[[1,4,5,6],[2],[3],[7]]=>9 [4,6,3,1,2,7,5]=>[1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1]=>[[1,3,5,6],[2,4],[7]]=>10 [4,6,3,1,5,2,7]=>[1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1]=>[[1,3,5,6],[2],[4],[7]]=>10 [4,6,3,1,5,7,2]=>[1,6,4,3,5,7,2]=>[2,7,5,3,4,6,1]=>[[1,2,5,6],[3],[4],[7]]=>11 [4,6,3,1,7,2,5]=>[6,4,3,1,7,2,5]=>[5,2,7,1,3,4,6]=>[[1,3,6,7],[2,5],[4]]=>11 [4,6,3,1,7,5,2]=>[1,6,4,7,3,5,2]=>[2,5,3,7,4,6,1]=>[[1,2,4,6],[3,5],[7]]=>12 [4,6,3,2,1,5,7]=>[6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6]=>[[1,4,5,6,7],[2],[3]]=>10 [4,6,3,2,1,7,5]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[1,3,5,6,7],[2,4]]=>11 [4,6,3,2,5,1,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[1,3,5,6,7],[2],[4]]=>11 [4,6,3,2,5,7,1]=>[6,4,3,2,5,7,1]=>[1,7,5,2,3,4,6]=>[[1,2,5,6,7],[3],[4]]=>12 [4,6,3,2,7,1,5]=>[6,4,3,7,2,1,5]=>[5,1,2,7,3,4,6]=>[[1,3,4,6,7],[2,5]]=>12 [4,6,3,2,7,5,1]=>[6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6]=>[[1,2,4,6,7],[3,5]]=>13 [4,6,3,5,1,2,7]=>[6,4,3,1,5,2,7]=>[7,2,5,1,3,4,6]=>[[1,3,6,7],[2,5],[4]]=>11 [4,6,3,5,1,7,2]=>[6,4,3,1,5,7,2]=>[2,7,5,1,3,4,6]=>[[1,2,6,7],[3,5],[4]]=>12 [4,6,3,5,2,1,7]=>[6,4,3,5,2,1,7]=>[7,1,2,5,3,4,6]=>[[1,3,4,6,7],[2],[5]]=>12 [4,6,3,5,2,7,1]=>[6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6]=>[[1,2,4,6,7],[3],[5]]=>13 [4,6,3,5,7,1,2]=>[6,4,3,5,1,7,2]=>[2,7,1,5,3,4,6]=>[[1,2,6,7],[3,4],[5]]=>13 [4,6,3,5,7,2,1]=>[6,4,3,5,7,2,1]=>[1,2,7,5,3,4,6]=>[[1,2,3,6,7],[4],[5]]=>14 [4,6,3,7,1,2,5]=>[6,4,1,7,3,2,5]=>[5,2,3,7,1,4,6]=>[[1,3,4,7],[2,6],[5]]=>12 [4,6,3,7,1,5,2]=>[6,4,3,7,1,5,2]=>[2,5,1,7,3,4,6]=>[[1,2,4,7],[3,5,6]]=>13 [4,6,3,7,2,1,5]=>[6,4,7,3,2,1,5]=>[5,1,2,3,7,4,6]=>[[1,3,4,5,7],[2,6]]=>13 [4,6,3,7,2,5,1]=>[6,4,7,3,2,5,1]=>[1,5,2,3,7,4,6]=>[[1,2,4,5,7],[3,6]]=>14 [4,6,3,7,5,1,2]=>[6,4,7,3,1,5,2]=>[2,5,1,3,7,4,6]=>[[1,2,5,7],[3,4,6]]=>14 [4,6,3,7,5,2,1]=>[6,4,7,3,5,2,1]=>[1,2,5,3,7,4,6]=>[[1,2,3,5,7],[4,6]]=>15 [4,6,5,1,2,3,7]=>[1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [4,6,5,1,2,7,3]=>[1,6,4,2,5,7,3]=>[3,7,5,2,4,6,1]=>[[1,2,6],[3,5],[4],[7]]=>11 [4,6,5,1,3,2,7]=>[4,6,1,5,3,2,7]=>[7,2,3,5,1,6,4]=>[[1,3,4,6],[2,7],[5]]=>11 [4,6,5,1,3,7,2]=>[4,6,1,5,3,7,2]=>[2,7,3,5,1,6,4]=>[[1,2,4,6],[3,7],[5]]=>12 [4,6,5,1,7,2,3]=>[4,6,1,5,2,7,3]=>[3,7,2,5,1,6,4]=>[[1,2,6],[3,4],[5,7]]=>12 [4,6,5,1,7,3,2]=>[4,6,1,5,7,3,2]=>[2,3,7,5,1,6,4]=>[[1,2,3,6],[4,7],[5]]=>13 [4,6,5,2,1,3,7]=>[6,4,2,1,5,3,7]=>[7,3,5,1,2,4,6]=>[[1,3,6,7],[2,5],[4]]=>11 [4,6,5,2,1,7,3]=>[6,4,2,1,5,7,3]=>[3,7,5,1,2,4,6]=>[[1,2,6,7],[3,5],[4]]=>12 [4,6,5,2,3,1,7]=>[6,4,2,5,3,1,7]=>[7,1,3,5,2,4,6]=>[[1,3,4,7],[2,6],[5]]=>12 [4,6,5,2,3,7,1]=>[6,4,2,5,3,7,1]=>[1,7,3,5,2,4,6]=>[[1,2,4,7],[3,6],[5]]=>13 [4,6,5,2,7,1,3]=>[6,4,2,5,1,7,3]=>[3,7,1,5,2,4,6]=>[[1,2,6,7],[3,4],[5]]=>13 [4,6,5,2,7,3,1]=>[6,4,2,5,7,3,1]=>[1,3,7,5,2,4,6]=>[[1,2,3,7],[4,6],[5]]=>14 [4,6,5,3,1,2,7]=>[6,4,1,5,3,2,7]=>[7,2,3,5,1,4,6]=>[[1,3,4,7],[2,6],[5]]=>12 [4,6,5,3,1,7,2]=>[6,4,1,5,3,7,2]=>[2,7,3,5,1,4,6]=>[[1,2,4,7],[3,6],[5]]=>13 [4,6,5,3,2,1,7]=>[6,4,5,3,2,1,7]=>[7,1,2,3,5,4,6]=>[[1,3,4,5,7],[2],[6]]=>13 [4,6,5,3,2,7,1]=>[6,4,5,3,2,7,1]=>[1,7,2,3,5,4,6]=>[[1,2,4,5,7],[3],[6]]=>14 [4,6,5,3,7,1,2]=>[6,4,5,3,1,7,2]=>[2,7,1,3,5,4,6]=>[[1,2,5,7],[3,4],[6]]=>14 [4,6,5,3,7,2,1]=>[6,4,5,3,7,2,1]=>[1,2,7,3,5,4,6]=>[[1,2,3,5,7],[4],[6]]=>15 [4,6,5,7,1,2,3]=>[6,4,1,5,2,7,3]=>[3,7,2,5,1,4,6]=>[[1,2,7],[3,4],[5,6]]=>13 [4,6,5,7,1,3,2]=>[6,4,1,5,7,3,2]=>[2,3,7,5,1,4,6]=>[[1,2,3,7],[4,6],[5]]=>14 [4,6,5,7,2,1,3]=>[6,4,5,2,1,7,3]=>[3,7,1,2,5,4,6]=>[[1,2,5,7],[3,4],[6]]=>14 [4,6,5,7,2,3,1]=>[6,4,5,2,7,3,1]=>[1,3,7,2,5,4,6]=>[[1,2,3,7],[4,5],[6]]=>15 [4,6,5,7,3,1,2]=>[6,4,5,1,7,3,2]=>[2,3,7,1,5,4,6]=>[[1,2,3,7],[4,5],[6]]=>15 [4,6,5,7,3,2,1]=>[6,4,5,7,3,2,1]=>[1,2,3,7,5,4,6]=>[[1,2,3,4,7],[5],[6]]=>16 [4,6,7,1,2,3,5]=>[1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [4,6,7,1,2,5,3]=>[1,6,4,7,2,5,3]=>[3,5,2,7,4,6,1]=>[[1,2,4],[3,5,6],[7]]=>12 [4,6,7,1,3,2,5]=>[1,6,7,4,3,2,5]=>[5,2,3,4,7,6,1]=>[[1,3,4,5],[2,6],[7]]=>12 [4,6,7,1,3,5,2]=>[6,4,1,7,3,5,2]=>[2,5,3,7,1,4,6]=>[[1,2,4,7],[3,6],[5]]=>13 [4,6,7,1,5,2,3]=>[6,4,1,7,2,5,3]=>[3,5,2,7,1,4,6]=>[[1,2,4],[3,6,7],[5]]=>13 [4,6,7,1,5,3,2]=>[4,6,7,1,5,3,2]=>[2,3,5,1,7,6,4]=>[[1,2,3,5],[4,6],[7]]=>14 [4,6,7,2,1,3,5]=>[6,2,1,7,4,3,5]=>[5,3,4,7,1,2,6]=>[[1,3,4],[2,6,7],[5]]=>12 [4,6,7,2,1,5,3]=>[6,4,2,7,1,5,3]=>[3,5,1,7,2,4,6]=>[[1,2,4,7],[3,5,6]]=>13 [4,6,7,2,3,1,5]=>[6,2,7,4,3,1,5]=>[5,1,3,4,7,2,6]=>[[1,3,4,5],[2,7],[6]]=>13 [4,6,7,2,3,5,1]=>[6,2,7,4,3,5,1]=>[1,5,3,4,7,2,6]=>[[1,2,4,5],[3,7],[6]]=>14 [4,6,7,2,5,1,3]=>[6,4,7,2,1,5,3]=>[3,5,1,2,7,4,6]=>[[1,2,5,7],[3,4,6]]=>14 [4,6,7,2,5,3,1]=>[6,4,7,2,5,3,1]=>[1,3,5,2,7,4,6]=>[[1,2,3,5],[4,6,7]]=>15 [4,6,7,3,1,2,5]=>[6,1,7,4,3,2,5]=>[5,2,3,4,7,1,6]=>[[1,3,4,5],[2,7],[6]]=>13 [4,6,7,3,1,5,2]=>[6,1,7,4,3,5,2]=>[2,5,3,4,7,1,6]=>[[1,2,4,5],[3,7],[6]]=>14 [4,6,7,3,2,1,5]=>[6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6]=>[[1,3,4,5,6],[2,7]]=>14 [4,6,7,3,2,5,1]=>[6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6]=>[[1,2,4,5,6],[3,7]]=>15 [4,6,7,3,5,1,2]=>[6,7,4,3,1,5,2]=>[2,5,1,3,4,7,6]=>[[1,2,5,6],[3,4,7]]=>15 [4,6,7,3,5,2,1]=>[6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6]=>[[1,2,3,5,6],[4,7]]=>16 [4,6,7,5,1,2,3]=>[6,1,7,4,2,5,3]=>[3,5,2,4,7,1,6]=>[[1,2,5],[3,4,7],[6]]=>14 [4,6,7,5,1,3,2]=>[6,4,7,1,5,3,2]=>[2,3,5,1,7,4,6]=>[[1,2,3,5],[4,6,7]]=>15 [4,6,7,5,2,1,3]=>[6,7,4,2,1,5,3]=>[3,5,1,2,4,7,6]=>[[1,2,5,6],[3,4,7]]=>15 [4,6,7,5,2,3,1]=>[6,7,4,2,5,3,1]=>[1,3,5,2,4,7,6]=>[[1,2,3,6],[4,5,7]]=>16 [4,6,7,5,3,1,2]=>[6,7,4,1,5,3,2]=>[2,3,5,1,4,7,6]=>[[1,2,3,6],[4,5,7]]=>16 [4,6,7,5,3,2,1]=>[6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6]=>[[1,2,3,4,6],[5,7]]=>17 [4,7,1,2,3,5,6]=>[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>8 [4,7,1,2,3,6,5]=>[1,2,4,7,6,3,5]=>[5,3,6,7,4,2,1]=>[[1,3,4],[2,5],[6],[7]]=>9 [4,7,1,2,5,3,6]=>[1,2,4,7,5,3,6]=>[6,3,5,7,4,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>9 [4,7,1,2,5,6,3]=>[4,1,7,2,5,6,3]=>[3,6,5,2,7,1,4]=>[[1,2,5],[3,7],[4],[6]]=>10 [4,7,1,2,6,3,5]=>[4,1,2,7,6,3,5]=>[5,3,6,7,2,1,4]=>[[1,3,4],[2,7],[5],[6]]=>10 [4,7,1,2,6,5,3]=>[7,1,4,6,2,5,3]=>[3,5,2,6,4,1,7]=>[[1,2,4,7],[3,5],[6]]=>11 [4,7,1,3,2,5,6]=>[4,1,3,2,7,5,6]=>[6,5,7,2,3,1,4]=>[[1,3,7],[2,5],[4],[6]]=>9 [4,7,1,3,2,6,5]=>[4,1,3,7,6,2,5]=>[5,2,6,7,3,1,4]=>[[1,3,4],[2,5,7],[6]]=>10 [4,7,1,3,5,2,6]=>[4,1,3,7,5,2,6]=>[6,2,5,7,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>10 [4,7,1,3,5,6,2]=>[1,7,4,3,5,6,2]=>[2,6,5,3,4,7,1]=>[[1,2,5,6],[3],[4],[7]]=>11 [4,7,1,3,6,2,5]=>[1,7,4,6,3,2,5]=>[5,2,3,6,4,7,1]=>[[1,3,4,6],[2,5],[7]]=>11 [4,7,1,3,6,5,2]=>[4,7,1,6,3,5,2]=>[2,5,3,6,1,7,4]=>[[1,2,4,6],[3,7],[5]]=>12 [4,7,1,5,2,3,6]=>[4,1,2,7,5,3,6]=>[6,3,5,7,2,1,4]=>[[1,3,4],[2,7],[5],[6]]=>10 [4,7,1,5,2,6,3]=>[1,7,4,2,5,6,3]=>[3,6,5,2,4,7,1]=>[[1,2,6],[3,5],[4],[7]]=>11 [4,7,1,5,3,2,6]=>[1,7,4,5,3,2,6]=>[6,2,3,5,4,7,1]=>[[1,3,4,6],[2],[5],[7]]=>11 [4,7,1,5,3,6,2]=>[4,7,1,5,3,6,2]=>[2,6,3,5,1,7,4]=>[[1,2,4,6],[3,7],[5]]=>12 [4,7,1,5,6,2,3]=>[4,7,1,5,2,6,3]=>[3,6,2,5,1,7,4]=>[[1,2,6],[3,4],[5,7]]=>12 [4,7,1,5,6,3,2]=>[1,7,4,5,6,3,2]=>[2,3,6,5,4,7,1]=>[[1,2,3,6],[4],[5],[7]]=>13 [4,7,1,6,2,3,5]=>[1,4,2,7,6,3,5]=>[5,3,6,7,2,4,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [4,7,1,6,2,5,3]=>[4,7,1,6,2,5,3]=>[3,5,2,6,1,7,4]=>[[1,2,4,6],[3,7],[5]]=>12 [4,7,1,6,3,2,5]=>[1,4,7,6,3,2,5]=>[5,2,3,6,7,4,1]=>[[1,3,4,5],[2,6],[7]]=>12 [4,7,1,6,3,5,2]=>[7,4,1,6,3,5,2]=>[2,5,3,6,1,4,7]=>[[1,2,4,7],[3,6],[5]]=>13 [4,7,1,6,5,2,3]=>[7,4,1,6,2,5,3]=>[3,5,2,6,1,4,7]=>[[1,2,4,7],[3,6],[5]]=>13 [4,7,1,6,5,3,2]=>[7,6,1,4,5,3,2]=>[2,3,5,4,1,6,7]=>[[1,2,3,6,7],[4],[5]]=>14 [4,7,2,1,3,5,6]=>[2,1,4,3,7,5,6]=>[6,5,7,3,4,1,2]=>[[1,3],[2,5],[4,7],[6]]=>9 [4,7,2,1,3,6,5]=>[2,1,4,7,6,3,5]=>[5,3,6,7,4,1,2]=>[[1,3,4],[2,5],[6,7]]=>10 [4,7,2,1,5,3,6]=>[2,1,4,7,5,3,6]=>[6,3,5,7,4,1,2]=>[[1,3,4],[2,7],[5],[6]]=>10 [4,7,2,1,5,6,3]=>[4,7,2,1,5,6,3]=>[3,6,5,1,2,7,4]=>[[1,2,6],[3,5,7],[4]]=>11 [4,7,2,1,6,3,5]=>[2,4,1,7,6,3,5]=>[5,3,6,7,1,4,2]=>[[1,3,4],[2,6],[5,7]]=>11 [4,7,2,1,6,5,3]=>[4,7,2,6,1,5,3]=>[3,5,1,6,2,7,4]=>[[1,2,4,6],[3,5,7]]=>12 [4,7,2,3,1,5,6]=>[2,4,3,1,7,5,6]=>[6,5,7,1,3,4,2]=>[[1,3,6],[2,5],[4],[7]]=>10 [4,7,2,3,1,6,5]=>[2,4,3,7,6,1,5]=>[5,1,6,7,3,4,2]=>[[1,3,4],[2,5,6],[7]]=>11 [4,7,2,3,5,1,6]=>[2,4,3,7,5,1,6]=>[6,1,5,7,3,4,2]=>[[1,3,4],[2,6],[5],[7]]=>11 [4,7,2,3,5,6,1]=>[2,4,3,7,5,6,1]=>[1,6,5,7,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>12 [4,7,2,3,6,1,5]=>[2,4,7,6,3,1,5]=>[5,1,3,6,7,4,2]=>[[1,3,4,5],[2,6],[7]]=>12 [4,7,2,3,6,5,1]=>[2,4,7,6,3,5,1]=>[1,5,3,6,7,4,2]=>[[1,2,4,5],[3,6],[7]]=>13 [4,7,2,5,1,3,6]=>[2,4,1,7,5,3,6]=>[6,3,5,7,1,4,2]=>[[1,3,4],[2,6],[5],[7]]=>11 [4,7,2,5,1,6,3]=>[7,4,2,1,5,6,3]=>[3,6,5,1,2,4,7]=>[[1,2,6,7],[3,5],[4]]=>12 [4,7,2,5,3,1,6]=>[2,4,7,5,3,1,6]=>[6,1,3,5,7,4,2]=>[[1,3,4,5],[2],[6],[7]]=>12 [4,7,2,5,3,6,1]=>[2,4,7,5,3,6,1]=>[1,6,3,5,7,4,2]=>[[1,2,4,5],[3],[6],[7]]=>13 [4,7,2,5,6,1,3]=>[7,4,2,5,1,6,3]=>[3,6,1,5,2,4,7]=>[[1,2,6,7],[3,4],[5]]=>13 [4,7,2,5,6,3,1]=>[7,4,2,5,6,3,1]=>[1,3,6,5,2,4,7]=>[[1,2,3,7],[4,6],[5]]=>14 [4,7,2,6,1,3,5]=>[4,2,1,7,6,3,5]=>[5,3,6,7,1,2,4]=>[[1,3,4],[2,6,7],[5]]=>12 [4,7,2,6,1,5,3]=>[7,4,2,6,1,5,3]=>[3,5,1,6,2,4,7]=>[[1,2,4,7],[3,5,6]]=>13 [4,7,2,6,3,1,5]=>[4,2,7,6,3,1,5]=>[5,1,3,6,7,2,4]=>[[1,3,4,5],[2,7],[6]]=>13 [4,7,2,6,3,5,1]=>[4,2,7,6,3,5,1]=>[1,5,3,6,7,2,4]=>[[1,2,4,5],[3,7],[6]]=>14 [4,7,2,6,5,1,3]=>[7,4,6,2,1,5,3]=>[3,5,1,2,6,4,7]=>[[1,2,5,7],[3,4,6]]=>14 [4,7,2,6,5,3,1]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[[1,2,3,5,7],[4,6]]=>15 [4,7,3,1,2,5,6]=>[1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [4,7,3,1,2,6,5]=>[1,4,3,7,6,2,5]=>[5,2,6,7,3,4,1]=>[[1,3,4],[2,5,6],[7]]=>11 [4,7,3,1,5,2,6]=>[1,4,3,7,5,2,6]=>[6,2,5,7,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [4,7,3,1,5,6,2]=>[1,4,3,7,5,6,2]=>[2,6,5,7,3,4,1]=>[[1,2,4],[3,6],[5],[7]]=>12 [4,7,3,1,6,2,5]=>[4,3,1,7,6,2,5]=>[5,2,6,7,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>12 [4,7,3,1,6,5,2]=>[1,4,7,6,3,5,2]=>[2,5,3,6,7,4,1]=>[[1,2,4,5],[3,6],[7]]=>13 [4,7,3,2,1,5,6]=>[4,3,2,1,7,5,6]=>[6,5,7,1,2,3,4]=>[[1,3,6,7],[2,5],[4]]=>11 [4,7,3,2,1,6,5]=>[4,3,2,7,6,1,5]=>[5,1,6,7,2,3,4]=>[[1,3,4,7],[2,5,6]]=>12 [4,7,3,2,5,1,6]=>[4,3,2,7,5,1,6]=>[6,1,5,7,2,3,4]=>[[1,3,4,7],[2,6],[5]]=>12 [4,7,3,2,5,6,1]=>[4,3,2,7,5,6,1]=>[1,6,5,7,2,3,4]=>[[1,2,4,7],[3,6],[5]]=>13 [4,7,3,2,6,1,5]=>[4,3,7,6,2,1,5]=>[5,1,2,6,7,3,4]=>[[1,3,4,5],[2,6,7]]=>13 [4,7,3,2,6,5,1]=>[4,3,7,6,2,5,1]=>[1,5,2,6,7,3,4]=>[[1,2,4,5],[3,6,7]]=>14 [4,7,3,5,1,2,6]=>[4,3,1,7,5,2,6]=>[6,2,5,7,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>12 [4,7,3,5,1,6,2]=>[4,3,1,7,5,6,2]=>[2,6,5,7,1,3,4]=>[[1,2,4],[3,6,7],[5]]=>13 [4,7,3,5,2,1,6]=>[4,3,7,5,2,1,6]=>[6,1,2,5,7,3,4]=>[[1,3,4,5],[2,7],[6]]=>13 [4,7,3,5,2,6,1]=>[4,3,7,5,2,6,1]=>[1,6,2,5,7,3,4]=>[[1,2,4,5],[3,7],[6]]=>14 [4,7,3,5,6,1,2]=>[4,3,7,5,1,6,2]=>[2,6,1,5,7,3,4]=>[[1,2,5],[3,4,7],[6]]=>14 [4,7,3,5,6,2,1]=>[4,3,7,5,6,2,1]=>[1,2,6,5,7,3,4]=>[[1,2,3,5],[4,7],[6]]=>15 [4,7,3,6,1,2,5]=>[4,1,7,6,3,2,5]=>[5,2,3,6,7,1,4]=>[[1,3,4,5],[2,7],[6]]=>13 [4,7,3,6,1,5,2]=>[4,3,7,6,1,5,2]=>[2,5,1,6,7,3,4]=>[[1,2,4,5],[3,6,7]]=>14 [4,7,3,6,2,1,5]=>[4,7,6,3,2,1,5]=>[5,1,2,3,6,7,4]=>[[1,3,4,5,6],[2,7]]=>14 [4,7,3,6,2,5,1]=>[4,7,6,3,2,5,1]=>[1,5,2,3,6,7,4]=>[[1,2,4,5,6],[3,7]]=>15 [4,7,3,6,5,1,2]=>[4,7,6,3,1,5,2]=>[2,5,1,3,6,7,4]=>[[1,2,5,6],[3,4,7]]=>15 [4,7,3,6,5,2,1]=>[4,7,6,3,5,2,1]=>[1,2,5,3,6,7,4]=>[[1,2,3,5,6],[4,7]]=>16 [4,7,5,1,2,3,6]=>[1,4,2,7,5,3,6]=>[6,3,5,7,2,4,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [4,7,5,1,2,6,3]=>[1,4,2,7,5,6,3]=>[3,6,5,7,2,4,1]=>[[1,2,4],[3,6],[5],[7]]=>12 [4,7,5,1,3,2,6]=>[1,4,7,5,3,2,6]=>[6,2,3,5,7,4,1]=>[[1,3,4,5],[2],[6],[7]]=>12 [4,7,5,1,3,6,2]=>[1,4,7,5,3,6,2]=>[2,6,3,5,7,4,1]=>[[1,2,4,5],[3],[6],[7]]=>13 [4,7,5,1,6,2,3]=>[1,4,7,5,2,6,3]=>[3,6,2,5,7,4,1]=>[[1,2,5],[3,4],[6],[7]]=>13 [4,7,5,1,6,3,2]=>[7,4,1,5,6,3,2]=>[2,3,6,5,1,4,7]=>[[1,2,3,7],[4,6],[5]]=>14 [4,7,5,2,1,3,6]=>[4,2,1,7,5,3,6]=>[6,3,5,7,1,2,4]=>[[1,3,4],[2,6,7],[5]]=>12 [4,7,5,2,1,6,3]=>[4,2,1,7,5,6,3]=>[3,6,5,7,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>13 [4,7,5,2,3,1,6]=>[4,2,7,5,3,1,6]=>[6,1,3,5,7,2,4]=>[[1,3,4,5],[2,7],[6]]=>13 [4,7,5,2,3,6,1]=>[4,2,7,5,3,6,1]=>[1,6,3,5,7,2,4]=>[[1,2,4,5],[3,7],[6]]=>14 [4,7,5,2,6,1,3]=>[4,2,7,5,1,6,3]=>[3,6,1,5,7,2,4]=>[[1,2,5],[3,4,7],[6]]=>14 [4,7,5,2,6,3,1]=>[4,2,7,5,6,3,1]=>[1,3,6,5,7,2,4]=>[[1,2,3,5],[4,7],[6]]=>15 [4,7,5,3,1,2,6]=>[4,1,7,5,3,2,6]=>[6,2,3,5,7,1,4]=>[[1,3,4,5],[2,7],[6]]=>13 [4,7,5,3,1,6,2]=>[4,1,7,5,3,6,2]=>[2,6,3,5,7,1,4]=>[[1,2,4,5],[3,7],[6]]=>14 [4,7,5,3,2,1,6]=>[4,7,5,3,2,1,6]=>[6,1,2,3,5,7,4]=>[[1,3,4,5,6],[2],[7]]=>14 [4,7,5,3,2,6,1]=>[4,7,5,3,2,6,1]=>[1,6,2,3,5,7,4]=>[[1,2,4,5,6],[3],[7]]=>15 [4,7,5,3,6,1,2]=>[4,7,5,3,1,6,2]=>[2,6,1,3,5,7,4]=>[[1,2,5,6],[3,4],[7]]=>15 [4,7,5,3,6,2,1]=>[4,7,5,3,6,2,1]=>[1,2,6,3,5,7,4]=>[[1,2,3,5,6],[4],[7]]=>16 [4,7,5,6,1,2,3]=>[4,1,7,5,2,6,3]=>[3,6,2,5,7,1,4]=>[[1,2,5],[3,4],[6,7]]=>14 [4,7,5,6,1,3,2]=>[4,1,7,5,6,3,2]=>[2,3,6,5,7,1,4]=>[[1,2,3,5],[4,7],[6]]=>15 [4,7,5,6,2,1,3]=>[4,7,5,2,1,6,3]=>[3,6,1,2,5,7,4]=>[[1,2,5,6],[3,4],[7]]=>15 [4,7,5,6,2,3,1]=>[4,7,5,2,6,3,1]=>[1,3,6,2,5,7,4]=>[[1,2,3,6],[4,5],[7]]=>16 [4,7,5,6,3,1,2]=>[4,7,5,1,6,3,2]=>[2,3,6,1,5,7,4]=>[[1,2,3,6],[4,5],[7]]=>16 [4,7,5,6,3,2,1]=>[4,7,5,6,3,2,1]=>[1,2,3,6,5,7,4]=>[[1,2,3,4,6],[5],[7]]=>17 [4,7,6,1,2,3,5]=>[1,2,7,6,4,3,5]=>[5,3,4,6,7,2,1]=>[[1,3,4,5],[2],[6],[7]]=>12 [4,7,6,1,2,5,3]=>[1,4,7,6,2,5,3]=>[3,5,2,6,7,4,1]=>[[1,2,4,5],[3,6],[7]]=>13 [4,7,6,1,3,2,5]=>[7,1,6,4,3,2,5]=>[5,2,3,4,6,1,7]=>[[1,3,4,5,7],[2],[6]]=>13 [4,7,6,1,3,5,2]=>[4,1,7,6,3,5,2]=>[2,5,3,6,7,1,4]=>[[1,2,4,5],[3,7],[6]]=>14 [4,7,6,1,5,2,3]=>[4,1,7,6,2,5,3]=>[3,5,2,6,7,1,4]=>[[1,2,4,5],[3,7],[6]]=>14 [4,7,6,1,5,3,2]=>[7,4,6,1,5,3,2]=>[2,3,5,1,6,4,7]=>[[1,2,3,5,7],[4,6]]=>15 [4,7,6,2,1,3,5]=>[2,1,7,6,4,3,5]=>[5,3,4,6,7,1,2]=>[[1,3,4,5],[2,7],[6]]=>13 [4,7,6,2,1,5,3]=>[4,2,7,6,1,5,3]=>[3,5,1,6,7,2,4]=>[[1,2,4,5],[3,6,7]]=>14 [4,7,6,2,3,1,5]=>[2,7,6,4,3,1,5]=>[5,1,3,4,6,7,2]=>[[1,3,4,5,6],[2],[7]]=>14 [4,7,6,2,3,5,1]=>[2,7,6,4,3,5,1]=>[1,5,3,4,6,7,2]=>[[1,2,4,5,6],[3],[7]]=>15 [4,7,6,2,5,1,3]=>[4,7,6,2,1,5,3]=>[3,5,1,2,6,7,4]=>[[1,2,5,6],[3,4,7]]=>15 [4,7,6,2,5,3,1]=>[4,7,6,2,5,3,1]=>[1,3,5,2,6,7,4]=>[[1,2,3,5,6],[4,7]]=>16 [4,7,6,3,1,2,5]=>[1,7,6,4,3,2,5]=>[5,2,3,4,6,7,1]=>[[1,3,4,5,6],[2],[7]]=>14 [4,7,6,3,1,5,2]=>[1,7,6,4,3,5,2]=>[2,5,3,4,6,7,1]=>[[1,2,4,5,6],[3],[7]]=>15 [4,7,6,3,2,1,5]=>[7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7]=>[[1,3,4,5,6,7],[2]]=>15 [4,7,6,3,2,5,1]=>[7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7]=>[[1,2,4,5,6,7],[3]]=>16 [4,7,6,3,5,1,2]=>[7,6,4,3,1,5,2]=>[2,5,1,3,4,6,7]=>[[1,2,5,6,7],[3,4]]=>16 [4,7,6,3,5,2,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[[1,2,3,5,6,7],[4]]=>17 [4,7,6,5,1,2,3]=>[1,7,6,4,2,5,3]=>[3,5,2,4,6,7,1]=>[[1,2,5,6],[3,4],[7]]=>15 [4,7,6,5,1,3,2]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[1,2,3,5,6],[4,7]]=>16 [4,7,6,5,2,1,3]=>[7,6,4,2,1,5,3]=>[3,5,1,2,4,6,7]=>[[1,2,5,6,7],[3,4]]=>16 [4,7,6,5,2,3,1]=>[7,6,4,2,5,3,1]=>[1,3,5,2,4,6,7]=>[[1,2,3,6,7],[4,5]]=>17 [4,7,6,5,3,1,2]=>[7,6,4,1,5,3,2]=>[2,3,5,1,4,6,7]=>[[1,2,3,6,7],[4,5]]=>17 [4,7,6,5,3,2,1]=>[7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7]=>[[1,2,3,4,6,7],[5]]=>18 [5,1,2,3,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>4 [5,1,2,3,4,7,6]=>[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>[[1,3],[2,4],[5],[6],[7]]=>5 [5,1,2,3,6,4,7]=>[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>[[1,3],[2],[4],[5],[6],[7]]=>5 [5,1,2,3,6,7,4]=>[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>[[1,2],[3],[4],[5],[6],[7]]=>6 [5,1,2,3,7,4,6]=>[5,1,2,3,7,4,6]=>[6,4,7,3,2,1,5]=>[[1,3],[2,7],[4],[5],[6]]=>6 [5,1,2,3,7,6,4]=>[7,1,2,3,5,6,4]=>[4,6,5,3,2,1,7]=>[[1,2,7],[3],[4],[5],[6]]=>7 [5,1,2,4,3,6,7]=>[5,1,2,4,3,6,7]=>[7,6,3,4,2,1,5]=>[[1,4,7],[2],[3],[5],[6]]=>5 [5,1,2,4,3,7,6]=>[5,1,2,4,7,3,6]=>[6,3,7,4,2,1,5]=>[[1,3,7],[2,4],[5],[6]]=>6 [5,1,2,4,6,3,7]=>[5,1,2,4,6,3,7]=>[7,3,6,4,2,1,5]=>[[1,3,7],[2],[4],[5],[6]]=>6 [5,1,2,4,6,7,3]=>[5,1,2,4,6,7,3]=>[3,7,6,4,2,1,5]=>[[1,2,7],[3],[4],[5],[6]]=>7 [5,1,2,4,7,3,6]=>[5,7,1,2,4,3,6]=>[6,3,4,2,1,7,5]=>[[1,3,6],[2,7],[4],[5]]=>7 [5,1,2,4,7,6,3]=>[5,7,1,2,4,6,3]=>[3,6,4,2,1,7,5]=>[[1,2,6],[3,7],[4],[5]]=>8 [5,1,2,6,3,4,7]=>[5,1,2,3,6,4,7]=>[7,4,6,3,2,1,5]=>[[1,3],[2,7],[4],[5],[6]]=>6 [5,1,2,6,3,7,4]=>[5,1,2,3,6,7,4]=>[4,7,6,3,2,1,5]=>[[1,2],[3,7],[4],[5],[6]]=>7 [5,1,2,6,4,3,7]=>[5,6,1,2,4,3,7]=>[7,3,4,2,1,6,5]=>[[1,3,6],[2,7],[4],[5]]=>7 [5,1,2,6,4,7,3]=>[5,6,1,2,4,7,3]=>[3,7,4,2,1,6,5]=>[[1,2,6],[3,7],[4],[5]]=>8 [5,1,2,6,7,3,4]=>[5,6,1,2,3,7,4]=>[4,7,3,2,1,6,5]=>[[1,2],[3,6],[4,7],[5]]=>8 [5,1,2,6,7,4,3]=>[5,6,7,1,2,4,3]=>[3,4,2,1,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>9 [5,1,2,7,3,4,6]=>[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>[[1,3],[2,6],[4],[5],[7]]=>7 [5,1,2,7,3,6,4]=>[5,7,1,2,3,6,4]=>[4,6,3,2,1,7,5]=>[[1,2,6],[3,7],[4],[5]]=>8 [5,1,2,7,4,3,6]=>[1,5,7,2,4,3,6]=>[6,3,4,2,7,5,1]=>[[1,3,5],[2,6],[4],[7]]=>8 [5,1,2,7,4,6,3]=>[7,5,1,2,4,6,3]=>[3,6,4,2,1,5,7]=>[[1,2,6,7],[3],[4],[5]]=>9 [5,1,2,7,6,3,4]=>[7,5,1,2,3,6,4]=>[4,6,3,2,1,5,7]=>[[1,2,7],[3,6],[4],[5]]=>9 [5,1,2,7,6,4,3]=>[7,5,6,1,2,4,3]=>[3,4,2,1,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>10 [5,1,3,2,4,6,7]=>[3,1,2,5,4,6,7]=>[7,6,4,5,2,1,3]=>[[1,4],[2,7],[3],[5],[6]]=>5 [5,1,3,2,4,7,6]=>[3,1,2,5,7,4,6]=>[6,4,7,5,2,1,3]=>[[1,3],[2,4],[5,7],[6]]=>6 [5,1,3,2,6,4,7]=>[3,1,2,5,6,4,7]=>[7,4,6,5,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>6 [5,1,3,2,6,7,4]=>[3,1,2,5,6,7,4]=>[4,7,6,5,2,1,3]=>[[1,2],[3,7],[4],[5],[6]]=>7 [5,1,3,2,7,4,6]=>[3,5,1,2,7,4,6]=>[6,4,7,2,1,5,3]=>[[1,3],[2,6],[4,7],[5]]=>7 [5,1,3,2,7,6,4]=>[3,7,1,2,5,6,4]=>[4,6,5,2,1,7,3]=>[[1,2,6],[3,7],[4],[5]]=>8 [5,1,3,4,2,6,7]=>[1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1]=>[[1,4,6],[2],[3],[5],[7]]=>6 [5,1,3,4,2,7,6]=>[1,5,3,4,7,2,6]=>[6,2,7,4,3,5,1]=>[[1,3,6],[2,4],[5],[7]]=>7 [5,1,3,4,6,2,7]=>[1,5,3,4,6,2,7]=>[7,2,6,4,3,5,1]=>[[1,3,6],[2],[4],[5],[7]]=>7 [5,1,3,4,6,7,2]=>[1,5,3,4,6,7,2]=>[2,7,6,4,3,5,1]=>[[1,2,6],[3],[4],[5],[7]]=>8 [5,1,3,4,7,2,6]=>[1,5,7,3,4,2,6]=>[6,2,4,3,7,5,1]=>[[1,3,5],[2,6],[4],[7]]=>8 [5,1,3,4,7,6,2]=>[1,5,7,3,4,6,2]=>[2,6,4,3,7,5,1]=>[[1,2,5],[3,6],[4],[7]]=>9 [5,1,3,6,2,4,7]=>[3,5,1,2,6,4,7]=>[7,4,6,2,1,5,3]=>[[1,3],[2,6],[4,7],[5]]=>7 [5,1,3,6,2,7,4]=>[3,5,1,2,6,7,4]=>[4,7,6,2,1,5,3]=>[[1,2],[3,6],[4,7],[5]]=>8 [5,1,3,6,4,2,7]=>[1,5,6,3,4,2,7]=>[7,2,4,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>8 [5,1,3,6,4,7,2]=>[1,5,6,3,4,7,2]=>[2,7,4,3,6,5,1]=>[[1,2,5],[3,6],[4],[7]]=>9 [5,1,3,6,7,2,4]=>[3,5,6,1,2,7,4]=>[4,7,2,1,6,5,3]=>[[1,2],[3,5],[4,6],[7]]=>9 [5,1,3,6,7,4,2]=>[1,5,6,7,3,4,2]=>[2,4,3,7,6,5,1]=>[[1,2,4],[3,5],[6],[7]]=>10 [5,1,3,7,2,4,6]=>[5,3,1,2,7,4,6]=>[6,4,7,2,1,3,5]=>[[1,3,7],[2,6],[4],[5]]=>8 [5,1,3,7,2,6,4]=>[3,5,7,1,2,6,4]=>[4,6,2,1,7,5,3]=>[[1,2,5],[3,6],[4,7]]=>9 [5,1,3,7,4,2,6]=>[5,1,7,3,4,2,6]=>[6,2,4,3,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>9 [5,1,3,7,4,6,2]=>[5,1,7,3,4,6,2]=>[2,6,4,3,7,1,5]=>[[1,2,5],[3,7],[4],[6]]=>10 [5,1,3,7,6,2,4]=>[7,3,5,1,2,6,4]=>[4,6,2,1,5,3,7]=>[[1,2,7],[3,5],[4,6]]=>10 [5,1,3,7,6,4,2]=>[7,1,5,6,3,4,2]=>[2,4,3,6,5,1,7]=>[[1,2,4,7],[3,5],[6]]=>11 [5,1,4,2,3,6,7]=>[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>[[1,4,6],[2],[3],[5],[7]]=>6 [5,1,4,2,3,7,6]=>[1,5,2,4,7,3,6]=>[6,3,7,4,2,5,1]=>[[1,3,6],[2,4],[5],[7]]=>7 [5,1,4,2,6,3,7]=>[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>[[1,3,6],[2],[4],[5],[7]]=>7 [5,1,4,2,6,7,3]=>[1,5,2,4,6,7,3]=>[3,7,6,4,2,5,1]=>[[1,2,6],[3],[4],[5],[7]]=>8 [5,1,4,2,7,3,6]=>[5,4,1,2,7,3,6]=>[6,3,7,2,1,4,5]=>[[1,3,7],[2,6],[4],[5]]=>8 [5,1,4,2,7,6,3]=>[1,5,7,2,4,6,3]=>[3,6,4,2,7,5,1]=>[[1,2,5],[3,6],[4],[7]]=>9 [5,1,4,3,2,6,7]=>[5,4,1,3,2,6,7]=>[7,6,2,3,1,4,5]=>[[1,4,6,7],[2],[3],[5]]=>7 [5,1,4,3,2,7,6]=>[5,4,1,3,7,2,6]=>[6,2,7,3,1,4,5]=>[[1,3,6,7],[2,4],[5]]=>8 [5,1,4,3,6,2,7]=>[5,4,1,3,6,2,7]=>[7,2,6,3,1,4,5]=>[[1,3,6,7],[2],[4],[5]]=>8 [5,1,4,3,6,7,2]=>[5,4,1,3,6,7,2]=>[2,7,6,3,1,4,5]=>[[1,2,6,7],[3],[4],[5]]=>9 [5,1,4,3,7,2,6]=>[5,4,7,1,3,2,6]=>[6,2,3,1,7,4,5]=>[[1,3,5,7],[2,6],[4]]=>9 [5,1,4,3,7,6,2]=>[5,4,7,1,3,6,2]=>[2,6,3,1,7,4,5]=>[[1,2,5,7],[3,6],[4]]=>10 [5,1,4,6,2,3,7]=>[5,4,1,2,6,3,7]=>[7,3,6,2,1,4,5]=>[[1,3,7],[2,6],[4],[5]]=>8 [5,1,4,6,2,7,3]=>[5,4,1,2,6,7,3]=>[3,7,6,2,1,4,5]=>[[1,2,7],[3,6],[4],[5]]=>9 [5,1,4,6,3,2,7]=>[5,4,6,1,3,2,7]=>[7,2,3,1,6,4,5]=>[[1,3,5,7],[2,6],[4]]=>9 [5,1,4,6,3,7,2]=>[5,4,6,1,3,7,2]=>[2,7,3,1,6,4,5]=>[[1,2,5,7],[3,6],[4]]=>10 [5,1,4,6,7,2,3]=>[5,4,6,1,2,7,3]=>[3,7,2,1,6,4,5]=>[[1,2,7],[3,5],[4,6]]=>10 [5,1,4,6,7,3,2]=>[5,4,6,7,1,3,2]=>[2,3,1,7,6,4,5]=>[[1,2,4,7],[3,5],[6]]=>11 [5,1,4,7,2,3,6]=>[5,1,7,2,4,3,6]=>[6,3,4,2,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>9 [5,1,4,7,2,6,3]=>[5,4,7,1,2,6,3]=>[3,6,2,1,7,4,5]=>[[1,2,5],[3,6,7],[4]]=>10 [5,1,4,7,3,2,6]=>[5,7,4,1,3,2,6]=>[6,2,3,1,4,7,5]=>[[1,3,5,6],[2,7],[4]]=>10 [5,1,4,7,3,6,2]=>[5,7,4,1,3,6,2]=>[2,6,3,1,4,7,5]=>[[1,2,5,6],[3,7],[4]]=>11 [5,1,4,7,6,2,3]=>[5,7,4,1,2,6,3]=>[3,6,2,1,4,7,5]=>[[1,2,6],[3,5,7],[4]]=>11 [5,1,4,7,6,3,2]=>[5,7,4,6,1,3,2]=>[2,3,1,6,4,7,5]=>[[1,2,4,6],[3,5,7]]=>12 [5,1,6,2,3,4,7]=>[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>[[1,3],[2,6],[4],[5],[7]]=>7 [5,1,6,2,3,7,4]=>[1,5,2,3,6,7,4]=>[4,7,6,3,2,5,1]=>[[1,2],[3,6],[4],[5],[7]]=>8 [5,1,6,2,4,3,7]=>[1,5,6,2,4,3,7]=>[7,3,4,2,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>8 [5,1,6,2,4,7,3]=>[1,5,6,2,4,7,3]=>[3,7,4,2,6,5,1]=>[[1,2,5],[3,6],[4],[7]]=>9 [5,1,6,2,7,3,4]=>[1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1]=>[[1,2],[3,5],[4,6],[7]]=>9 [5,1,6,2,7,4,3]=>[1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1]=>[[1,2,4],[3,5],[6],[7]]=>10 [5,1,6,3,2,4,7]=>[5,3,1,2,6,4,7]=>[7,4,6,2,1,3,5]=>[[1,3,7],[2,6],[4],[5]]=>8 [5,1,6,3,2,7,4]=>[5,3,1,2,6,7,4]=>[4,7,6,2,1,3,5]=>[[1,2,7],[3,6],[4],[5]]=>9 [5,1,6,3,4,2,7]=>[5,1,6,3,4,2,7]=>[7,2,4,3,6,1,5]=>[[1,3,5],[2,7],[4],[6]]=>9 [5,1,6,3,4,7,2]=>[5,1,6,3,4,7,2]=>[2,7,4,3,6,1,5]=>[[1,2,5],[3,7],[4],[6]]=>10 [5,1,6,3,7,2,4]=>[5,3,6,1,2,7,4]=>[4,7,2,1,6,3,5]=>[[1,2,7],[3,5],[4,6]]=>10 [5,1,6,3,7,4,2]=>[5,1,6,7,3,4,2]=>[2,4,3,7,6,1,5]=>[[1,2,4],[3,5],[6,7]]=>11 [5,1,6,4,2,3,7]=>[5,1,6,2,4,3,7]=>[7,3,4,2,6,1,5]=>[[1,3,5],[2,7],[4],[6]]=>9 [5,1,6,4,2,7,3]=>[5,1,6,2,4,7,3]=>[3,7,4,2,6,1,5]=>[[1,2,5],[3,7],[4],[6]]=>10 [5,1,6,4,3,2,7]=>[5,6,4,1,3,2,7]=>[7,2,3,1,4,6,5]=>[[1,3,5,6],[2,7],[4]]=>10 [5,1,6,4,3,7,2]=>[5,6,4,1,3,7,2]=>[2,7,3,1,4,6,5]=>[[1,2,5,6],[3,7],[4]]=>11 [5,1,6,4,7,2,3]=>[5,6,4,1,2,7,3]=>[3,7,2,1,4,6,5]=>[[1,2,6],[3,5],[4,7]]=>11 [5,1,6,4,7,3,2]=>[5,6,4,7,1,3,2]=>[2,3,1,7,4,6,5]=>[[1,2,4,6],[3,5],[7]]=>12 [5,1,6,7,2,3,4]=>[5,1,6,2,3,7,4]=>[4,7,3,2,6,1,5]=>[[1,2],[3,5],[4,7],[6]]=>10 [5,1,6,7,2,4,3]=>[5,1,6,7,2,4,3]=>[3,4,2,7,6,1,5]=>[[1,2,4],[3,5],[6,7]]=>11 [5,1,6,7,3,2,4]=>[5,6,3,1,2,7,4]=>[4,7,2,1,3,6,5]=>[[1,2,6],[3,5],[4,7]]=>11 [5,1,6,7,3,4,2]=>[5,6,1,7,3,4,2]=>[2,4,3,7,1,6,5]=>[[1,2,4],[3,6],[5,7]]=>12 [5,1,6,7,4,2,3]=>[5,6,1,7,2,4,3]=>[3,4,2,7,1,6,5]=>[[1,2,4],[3,6],[5,7]]=>12 [5,1,6,7,4,3,2]=>[5,6,7,4,1,3,2]=>[2,3,1,4,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>13 [5,1,7,2,3,4,6]=>[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>8 [5,1,7,2,3,6,4]=>[1,5,7,2,3,6,4]=>[4,6,3,2,7,5,1]=>[[1,2,5],[3,6],[4],[7]]=>9 [5,1,7,2,4,3,6]=>[1,2,5,7,4,3,6]=>[6,3,4,7,5,2,1]=>[[1,3,4],[2,5],[6],[7]]=>9 [5,1,7,2,4,6,3]=>[5,1,7,2,4,6,3]=>[3,6,4,2,7,1,5]=>[[1,2,5],[3,7],[4],[6]]=>10 [5,1,7,2,6,3,4]=>[5,1,7,2,3,6,4]=>[4,6,3,2,7,1,5]=>[[1,2,5],[3,7],[4],[6]]=>10 [5,1,7,2,6,4,3]=>[7,1,5,6,2,4,3]=>[3,4,2,6,5,1,7]=>[[1,2,4,7],[3,5],[6]]=>11 [5,1,7,3,2,4,6]=>[5,1,3,2,7,4,6]=>[6,4,7,2,3,1,5]=>[[1,3,7],[2,5],[4],[6]]=>9 [5,1,7,3,2,6,4]=>[5,3,7,1,2,6,4]=>[4,6,2,1,7,3,5]=>[[1,2,5],[3,6,7],[4]]=>10 [5,1,7,3,4,2,6]=>[5,1,3,7,4,2,6]=>[6,2,4,7,3,1,5]=>[[1,3,4],[2,7],[5],[6]]=>10 [5,1,7,3,4,6,2]=>[1,7,5,3,4,6,2]=>[2,6,4,3,5,7,1]=>[[1,2,5,6],[3],[4],[7]]=>11 [5,1,7,3,6,2,4]=>[5,7,3,1,2,6,4]=>[4,6,2,1,3,7,5]=>[[1,2,6],[3,5,7],[4]]=>11 [5,1,7,3,6,4,2]=>[5,7,1,6,3,4,2]=>[2,4,3,6,1,7,5]=>[[1,2,4,6],[3,7],[5]]=>12 [5,1,7,4,2,3,6]=>[5,1,2,7,4,3,6]=>[6,3,4,7,2,1,5]=>[[1,3,4],[2,7],[5],[6]]=>10 [5,1,7,4,2,6,3]=>[1,7,5,2,4,6,3]=>[3,6,4,2,5,7,1]=>[[1,2,5,6],[3],[4],[7]]=>11 [5,1,7,4,3,2,6]=>[5,7,1,4,3,2,6]=>[6,2,3,4,1,7,5]=>[[1,3,4,6],[2,7],[5]]=>11 [5,1,7,4,3,6,2]=>[7,5,4,1,3,6,2]=>[2,6,3,1,4,5,7]=>[[1,2,5,6,7],[3],[4]]=>12 [5,1,7,4,6,2,3]=>[7,5,4,1,2,6,3]=>[3,6,2,1,4,5,7]=>[[1,2,6,7],[3,5],[4]]=>12 [5,1,7,4,6,3,2]=>[7,5,4,6,1,3,2]=>[2,3,1,6,4,5,7]=>[[1,2,4,6,7],[3,5]]=>13 [5,1,7,6,2,3,4]=>[1,7,5,2,3,6,4]=>[4,6,3,2,5,7,1]=>[[1,2,6],[3,5],[4],[7]]=>11 [5,1,7,6,2,4,3]=>[5,7,1,6,2,4,3]=>[3,4,2,6,1,7,5]=>[[1,2,4,6],[3,7],[5]]=>12 [5,1,7,6,3,2,4]=>[7,5,3,1,2,6,4]=>[4,6,2,1,3,5,7]=>[[1,2,6,7],[3,5],[4]]=>12 [5,1,7,6,3,4,2]=>[7,5,1,6,3,4,2]=>[2,4,3,6,1,5,7]=>[[1,2,4,7],[3,6],[5]]=>13 [5,1,7,6,4,2,3]=>[7,5,1,6,2,4,3]=>[3,4,2,6,1,5,7]=>[[1,2,4,7],[3,6],[5]]=>13 [5,1,7,6,4,3,2]=>[7,5,6,4,1,3,2]=>[2,3,1,4,6,5,7]=>[[1,2,4,5,7],[3,6]]=>14 [5,2,1,3,4,6,7]=>[2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2]=>[[1,4],[2,7],[3],[5],[6]]=>5 [5,2,1,3,4,7,6]=>[2,1,3,5,7,4,6]=>[6,4,7,5,3,1,2]=>[[1,3],[2,4],[5,7],[6]]=>6 [5,2,1,3,6,4,7]=>[2,1,3,5,6,4,7]=>[7,4,6,5,3,1,2]=>[[1,3],[2,7],[4],[5],[6]]=>6 [5,2,1,3,6,7,4]=>[2,1,3,5,6,7,4]=>[4,7,6,5,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>7 [5,2,1,3,7,4,6]=>[2,5,1,3,7,4,6]=>[6,4,7,3,1,5,2]=>[[1,3],[2,6],[4,7],[5]]=>7 [5,2,1,3,7,6,4]=>[2,7,1,3,5,6,4]=>[4,6,5,3,1,7,2]=>[[1,2,6],[3,7],[4],[5]]=>8 [5,2,1,4,3,6,7]=>[2,5,1,4,3,6,7]=>[7,6,3,4,1,5,2]=>[[1,4,6],[2,7],[3],[5]]=>6 [5,2,1,4,3,7,6]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[1,3,6],[2,4],[5,7]]=>7 [5,2,1,4,6,3,7]=>[2,5,1,4,6,3,7]=>[7,3,6,4,1,5,2]=>[[1,3,6],[2,7],[4],[5]]=>7 [5,2,1,4,6,7,3]=>[2,5,1,4,6,7,3]=>[3,7,6,4,1,5,2]=>[[1,2,6],[3,7],[4],[5]]=>8 [5,2,1,4,7,3,6]=>[2,5,7,1,4,3,6]=>[6,3,4,1,7,5,2]=>[[1,3,5],[2,6],[4,7]]=>8 [5,2,1,4,7,6,3]=>[2,5,7,1,4,6,3]=>[3,6,4,1,7,5,2]=>[[1,2,5],[3,6],[4,7]]=>9 [5,2,1,6,3,4,7]=>[2,5,1,3,6,4,7]=>[7,4,6,3,1,5,2]=>[[1,3],[2,6],[4,7],[5]]=>7 [5,2,1,6,3,7,4]=>[2,5,1,3,6,7,4]=>[4,7,6,3,1,5,2]=>[[1,2],[3,6],[4,7],[5]]=>8 [5,2,1,6,4,3,7]=>[2,5,6,1,4,3,7]=>[7,3,4,1,6,5,2]=>[[1,3,5],[2,6],[4],[7]]=>8 [5,2,1,6,4,7,3]=>[2,5,6,1,4,7,3]=>[3,7,4,1,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>9 [5,2,1,6,7,3,4]=>[2,5,6,1,3,7,4]=>[4,7,3,1,6,5,2]=>[[1,2],[3,5],[4,6],[7]]=>9 [5,2,1,6,7,4,3]=>[2,5,6,7,1,4,3]=>[3,4,1,7,6,5,2]=>[[1,2,4],[3,5],[6],[7]]=>10 [5,2,1,7,3,4,6]=>[5,2,1,3,7,4,6]=>[6,4,7,3,1,2,5]=>[[1,3,7],[2,6],[4],[5]]=>8 [5,2,1,7,3,6,4]=>[2,5,7,1,3,6,4]=>[4,6,3,1,7,5,2]=>[[1,2,5],[3,6],[4,7]]=>9 [5,2,1,7,4,3,6]=>[5,2,7,1,4,3,6]=>[6,3,4,1,7,2,5]=>[[1,3,5],[2,6,7],[4]]=>9 [5,2,1,7,4,6,3]=>[7,2,5,1,4,6,3]=>[3,6,4,1,5,2,7]=>[[1,2,5,7],[3,6],[4]]=>10 [5,2,1,7,6,3,4]=>[7,2,5,1,3,6,4]=>[4,6,3,1,5,2,7]=>[[1,2,7],[3,5],[4,6]]=>10 [5,2,1,7,6,4,3]=>[7,2,5,6,1,4,3]=>[3,4,1,6,5,2,7]=>[[1,2,4,7],[3,5],[6]]=>11 [5,2,3,1,4,6,7]=>[2,3,1,5,4,6,7]=>[7,6,4,5,1,3,2]=>[[1,4],[2,6],[3],[5],[7]]=>6 [5,2,3,1,4,7,6]=>[2,3,1,5,7,4,6]=>[6,4,7,5,1,3,2]=>[[1,3],[2,4],[5,6],[7]]=>7 [5,2,3,1,6,4,7]=>[2,3,1,5,6,4,7]=>[7,4,6,5,1,3,2]=>[[1,3],[2,6],[4],[5],[7]]=>7 [5,2,3,1,6,7,4]=>[2,3,1,5,6,7,4]=>[4,7,6,5,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>8 [5,2,3,1,7,4,6]=>[2,3,5,1,7,4,6]=>[6,4,7,1,5,3,2]=>[[1,3],[2,5],[4,6],[7]]=>8 [5,2,3,1,7,6,4]=>[2,3,7,1,5,6,4]=>[4,6,5,1,7,3,2]=>[[1,2,5],[3,6],[4],[7]]=>9 [5,2,3,4,1,6,7]=>[2,3,5,4,1,6,7]=>[7,6,1,4,5,3,2]=>[[1,4,5],[2],[3],[6],[7]]=>7 [5,2,3,4,1,7,6]=>[2,3,5,4,7,1,6]=>[6,1,7,4,5,3,2]=>[[1,3,5],[2,4],[6],[7]]=>8 [5,2,3,4,6,1,7]=>[2,3,5,4,6,1,7]=>[7,1,6,4,5,3,2]=>[[1,3,5],[2],[4],[6],[7]]=>8 [5,2,3,4,6,7,1]=>[2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>9 [5,2,3,4,7,1,6]=>[2,3,5,7,4,1,6]=>[6,1,4,7,5,3,2]=>[[1,3,4],[2,5],[6],[7]]=>9 [5,2,3,4,7,6,1]=>[2,3,5,7,4,6,1]=>[1,6,4,7,5,3,2]=>[[1,2,4],[3,5],[6],[7]]=>10 [5,2,3,6,1,4,7]=>[2,3,5,1,6,4,7]=>[7,4,6,1,5,3,2]=>[[1,3],[2,5],[4],[6],[7]]=>8 [5,2,3,6,1,7,4]=>[2,3,5,1,6,7,4]=>[4,7,6,1,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>9 [5,2,3,6,4,1,7]=>[2,3,5,6,4,1,7]=>[7,1,4,6,5,3,2]=>[[1,3,4],[2],[5],[6],[7]]=>9 [5,2,3,6,4,7,1]=>[2,3,5,6,4,7,1]=>[1,7,4,6,5,3,2]=>[[1,2,4],[3],[5],[6],[7]]=>10 [5,2,3,6,7,1,4]=>[2,3,5,6,1,7,4]=>[4,7,1,6,5,3,2]=>[[1,2],[3,4],[5],[6],[7]]=>10 [5,2,3,6,7,4,1]=>[2,3,5,6,7,4,1]=>[1,4,7,6,5,3,2]=>[[1,2,3],[4],[5],[6],[7]]=>11 [5,2,3,7,1,4,6]=>[5,2,3,1,7,4,6]=>[6,4,7,1,3,2,5]=>[[1,3,7],[2,5],[4],[6]]=>9 [5,2,3,7,1,6,4]=>[2,3,5,7,1,6,4]=>[4,6,1,7,5,3,2]=>[[1,2,4],[3,5],[6],[7]]=>10 [5,2,3,7,4,1,6]=>[5,2,3,7,4,1,6]=>[6,1,4,7,3,2,5]=>[[1,3,4],[2,7],[5],[6]]=>10 [5,2,3,7,4,6,1]=>[5,2,3,7,4,6,1]=>[1,6,4,7,3,2,5]=>[[1,2,4],[3,7],[5],[6]]=>11 [5,2,3,7,6,1,4]=>[7,2,3,5,1,6,4]=>[4,6,1,5,3,2,7]=>[[1,2,7],[3,4],[5],[6]]=>11 [5,2,3,7,6,4,1]=>[7,2,3,5,6,4,1]=>[1,4,6,5,3,2,7]=>[[1,2,3,7],[4],[5],[6]]=>12 [5,2,4,1,3,6,7]=>[5,2,1,4,3,6,7]=>[7,6,3,4,1,2,5]=>[[1,4,7],[2,6],[3],[5]]=>7 [5,2,4,1,3,7,6]=>[5,2,1,4,7,3,6]=>[6,3,7,4,1,2,5]=>[[1,3,7],[2,4],[5,6]]=>8 [5,2,4,1,6,3,7]=>[5,2,1,4,6,3,7]=>[7,3,6,4,1,2,5]=>[[1,3,7],[2,6],[4],[5]]=>8 [5,2,4,1,6,7,3]=>[5,2,1,4,6,7,3]=>[3,7,6,4,1,2,5]=>[[1,2,7],[3,6],[4],[5]]=>9 [5,2,4,1,7,3,6]=>[5,2,4,1,7,3,6]=>[6,3,7,1,4,2,5]=>[[1,3,7],[2,5],[4,6]]=>9 [5,2,4,1,7,6,3]=>[5,2,7,1,4,6,3]=>[3,6,4,1,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>10 [5,2,4,3,1,6,7]=>[5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5]=>[[1,4,5,7],[2],[3],[6]]=>8 [5,2,4,3,1,7,6]=>[5,2,4,3,7,1,6]=>[6,1,7,3,4,2,5]=>[[1,3,5,7],[2,4],[6]]=>9 [5,2,4,3,6,1,7]=>[5,2,4,3,6,1,7]=>[7,1,6,3,4,2,5]=>[[1,3,5,7],[2],[4],[6]]=>9 [5,2,4,3,6,7,1]=>[5,2,4,3,6,7,1]=>[1,7,6,3,4,2,5]=>[[1,2,5,7],[3],[4],[6]]=>10 [5,2,4,3,7,1,6]=>[5,2,4,7,3,1,6]=>[6,1,3,7,4,2,5]=>[[1,3,4,7],[2,5],[6]]=>10 [5,2,4,3,7,6,1]=>[5,2,4,7,3,6,1]=>[1,6,3,7,4,2,5]=>[[1,2,4,7],[3,5],[6]]=>11 [5,2,4,6,1,3,7]=>[5,2,4,1,6,3,7]=>[7,3,6,1,4,2,5]=>[[1,3,7],[2,5],[4],[6]]=>9 [5,2,4,6,1,7,3]=>[5,2,4,1,6,7,3]=>[3,7,6,1,4,2,5]=>[[1,2,7],[3,5],[4],[6]]=>10 [5,2,4,6,3,1,7]=>[5,2,4,6,3,1,7]=>[7,1,3,6,4,2,5]=>[[1,3,4,7],[2],[5],[6]]=>10 [5,2,4,6,3,7,1]=>[5,2,4,6,3,7,1]=>[1,7,3,6,4,2,5]=>[[1,2,4,7],[3],[5],[6]]=>11 [5,2,4,6,7,1,3]=>[5,2,4,6,1,7,3]=>[3,7,1,6,4,2,5]=>[[1,2,7],[3,4],[5],[6]]=>11 [5,2,4,6,7,3,1]=>[5,2,4,6,7,3,1]=>[1,3,7,6,4,2,5]=>[[1,2,3,7],[4],[5],[6]]=>12 [5,2,4,7,1,3,6]=>[5,7,2,1,4,3,6]=>[6,3,4,1,2,7,5]=>[[1,3,6],[2,5,7],[4]]=>10 [5,2,4,7,1,6,3]=>[5,2,4,7,1,6,3]=>[3,6,1,7,4,2,5]=>[[1,2,4],[3,5,7],[6]]=>11 [5,2,4,7,3,1,6]=>[5,7,2,4,3,1,6]=>[6,1,3,4,2,7,5]=>[[1,3,4,6],[2,7],[5]]=>11 [5,2,4,7,3,6,1]=>[5,7,2,4,3,6,1]=>[1,6,3,4,2,7,5]=>[[1,2,4,6],[3,7],[5]]=>12 [5,2,4,7,6,1,3]=>[5,7,2,4,1,6,3]=>[3,6,1,4,2,7,5]=>[[1,2,6],[3,4,7],[5]]=>12 [5,2,4,7,6,3,1]=>[5,7,2,4,6,3,1]=>[1,3,6,4,2,7,5]=>[[1,2,3,6],[4,7],[5]]=>13 [5,2,6,1,3,4,7]=>[5,2,1,3,6,4,7]=>[7,4,6,3,1,2,5]=>[[1,3,7],[2,6],[4],[5]]=>8 [5,2,6,1,3,7,4]=>[5,2,1,3,6,7,4]=>[4,7,6,3,1,2,5]=>[[1,2,7],[3,6],[4],[5]]=>9 [5,2,6,1,4,3,7]=>[5,2,6,1,4,3,7]=>[7,3,4,1,6,2,5]=>[[1,3,5],[2,6,7],[4]]=>9 [5,2,6,1,4,7,3]=>[5,2,6,1,4,7,3]=>[3,7,4,1,6,2,5]=>[[1,2,5],[3,6,7],[4]]=>10 [5,2,6,1,7,3,4]=>[5,2,6,1,3,7,4]=>[4,7,3,1,6,2,5]=>[[1,2,7],[3,5],[4,6]]=>10 [5,2,6,1,7,4,3]=>[5,2,6,7,1,4,3]=>[3,4,1,7,6,2,5]=>[[1,2,4],[3,5,7],[6]]=>11 [5,2,6,3,1,4,7]=>[5,2,3,1,6,4,7]=>[7,4,6,1,3,2,5]=>[[1,3,7],[2,5],[4],[6]]=>9 [5,2,6,3,1,7,4]=>[5,2,3,1,6,7,4]=>[4,7,6,1,3,2,5]=>[[1,2,7],[3,5],[4],[6]]=>10 [5,2,6,3,4,1,7]=>[5,2,3,6,4,1,7]=>[7,1,4,6,3,2,5]=>[[1,3,4],[2,7],[5],[6]]=>10 [5,2,6,3,4,7,1]=>[5,2,3,6,4,7,1]=>[1,7,4,6,3,2,5]=>[[1,2,4],[3,7],[5],[6]]=>11 [5,2,6,3,7,1,4]=>[5,2,3,6,1,7,4]=>[4,7,1,6,3,2,5]=>[[1,2,7],[3,4],[5],[6]]=>11 [5,2,6,3,7,4,1]=>[5,2,3,6,7,4,1]=>[1,4,7,6,3,2,5]=>[[1,2,3],[4,7],[5],[6]]=>12 [5,2,6,4,1,3,7]=>[5,6,2,1,4,3,7]=>[7,3,4,1,2,6,5]=>[[1,3,6],[2,5,7],[4]]=>10 [5,2,6,4,1,7,3]=>[5,6,2,1,4,7,3]=>[3,7,4,1,2,6,5]=>[[1,2,6],[3,5,7],[4]]=>11 [5,2,6,4,3,1,7]=>[5,6,2,4,3,1,7]=>[7,1,3,4,2,6,5]=>[[1,3,4,6],[2,7],[5]]=>11 [5,2,6,4,3,7,1]=>[5,6,2,4,3,7,1]=>[1,7,3,4,2,6,5]=>[[1,2,4,6],[3,7],[5]]=>12 [5,2,6,4,7,1,3]=>[5,6,2,4,1,7,3]=>[3,7,1,4,2,6,5]=>[[1,2,6],[3,4,7],[5]]=>12 [5,2,6,4,7,3,1]=>[5,6,2,4,7,3,1]=>[1,3,7,4,2,6,5]=>[[1,2,3,6],[4,7],[5]]=>13 [5,2,6,7,1,3,4]=>[5,6,2,1,3,7,4]=>[4,7,3,1,2,6,5]=>[[1,2,6],[3,5],[4,7]]=>11 [5,2,6,7,1,4,3]=>[5,6,2,7,1,4,3]=>[3,4,1,7,2,6,5]=>[[1,2,4],[3,5,6],[7]]=>12 [5,2,6,7,3,1,4]=>[5,6,2,3,1,7,4]=>[4,7,1,3,2,6,5]=>[[1,2,6],[3,4],[5,7]]=>12 [5,2,6,7,3,4,1]=>[5,6,2,3,7,4,1]=>[1,4,7,3,2,6,5]=>[[1,2,3],[4,6],[5,7]]=>13 [5,2,6,7,4,1,3]=>[5,6,7,2,1,4,3]=>[3,4,1,2,7,6,5]=>[[1,2,5],[3,4,6],[7]]=>13 [5,2,6,7,4,3,1]=>[5,6,7,2,4,3,1]=>[1,3,4,2,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>14 [5,2,7,1,3,4,6]=>[2,1,5,3,7,4,6]=>[6,4,7,3,5,1,2]=>[[1,3],[2,5],[4,7],[6]]=>9 [5,2,7,1,3,6,4]=>[5,2,7,1,3,6,4]=>[4,6,3,1,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>10 [5,2,7,1,4,3,6]=>[2,1,5,7,4,3,6]=>[6,3,4,7,5,1,2]=>[[1,3,4],[2,5],[6,7]]=>10 [5,2,7,1,4,6,3]=>[5,7,2,1,4,6,3]=>[3,6,4,1,2,7,5]=>[[1,2,6],[3,5,7],[4]]=>11 [5,2,7,1,6,3,4]=>[5,7,2,1,3,6,4]=>[4,6,3,1,2,7,5]=>[[1,2,6],[3,5,7],[4]]=>11 [5,2,7,1,6,4,3]=>[5,7,2,6,1,4,3]=>[3,4,1,6,2,7,5]=>[[1,2,4,6],[3,5,7]]=>12 [5,2,7,3,1,4,6]=>[2,5,3,1,7,4,6]=>[6,4,7,1,3,5,2]=>[[1,3,6],[2,5],[4],[7]]=>10 [5,2,7,3,1,6,4]=>[5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]=>[[1,2,4],[3,5,7],[6]]=>11 [5,2,7,3,4,1,6]=>[2,5,3,7,4,1,6]=>[6,1,4,7,3,5,2]=>[[1,3,4],[2,6],[5],[7]]=>11 [5,2,7,3,4,6,1]=>[2,5,3,7,4,6,1]=>[1,6,4,7,3,5,2]=>[[1,2,4],[3,6],[5],[7]]=>12 [5,2,7,3,6,1,4]=>[5,7,2,3,1,6,4]=>[4,6,1,3,2,7,5]=>[[1,2,6],[3,4,7],[5]]=>12 [5,2,7,3,6,4,1]=>[5,7,2,3,6,4,1]=>[1,4,6,3,2,7,5]=>[[1,2,3,6],[4,7],[5]]=>13 [5,2,7,4,1,3,6]=>[2,5,1,7,4,3,6]=>[6,3,4,7,1,5,2]=>[[1,3,4],[2,6],[5,7]]=>11 [5,2,7,4,1,6,3]=>[7,5,2,1,4,6,3]=>[3,6,4,1,2,5,7]=>[[1,2,6,7],[3,5],[4]]=>12 [5,2,7,4,3,1,6]=>[2,5,7,4,3,1,6]=>[6,1,3,4,7,5,2]=>[[1,3,4,5],[2,6],[7]]=>12 [5,2,7,4,3,6,1]=>[2,5,7,4,3,6,1]=>[1,6,3,4,7,5,2]=>[[1,2,4,5],[3,6],[7]]=>13 [5,2,7,4,6,1,3]=>[7,5,2,4,1,6,3]=>[3,6,1,4,2,5,7]=>[[1,2,6,7],[3,4],[5]]=>13 [5,2,7,4,6,3,1]=>[7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7]=>[[1,2,3,6,7],[4],[5]]=>14 [5,2,7,6,1,3,4]=>[7,5,2,1,3,6,4]=>[4,6,3,1,2,5,7]=>[[1,2,6,7],[3,5],[4]]=>12 [5,2,7,6,1,4,3]=>[7,5,2,6,1,4,3]=>[3,4,1,6,2,5,7]=>[[1,2,4,7],[3,5,6]]=>13 [5,2,7,6,3,1,4]=>[7,5,2,3,1,6,4]=>[4,6,1,3,2,5,7]=>[[1,2,6,7],[3,4],[5]]=>13 [5,2,7,6,3,4,1]=>[7,5,2,3,6,4,1]=>[1,4,6,3,2,5,7]=>[[1,2,3,7],[4,6],[5]]=>14 [5,2,7,6,4,1,3]=>[7,5,6,2,1,4,3]=>[3,4,1,2,6,5,7]=>[[1,2,5,7],[3,4,6]]=>14 [5,2,7,6,4,3,1]=>[7,5,6,2,4,3,1]=>[1,3,4,2,6,5,7]=>[[1,2,3,5,7],[4,6]]=>15 [5,3,1,2,4,6,7]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>[[1,4],[2,6],[3],[5],[7]]=>6 [5,3,1,2,4,7,6]=>[1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1]=>[[1,3],[2,4],[5,6],[7]]=>7 [5,3,1,2,6,4,7]=>[1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>7 [5,3,1,2,6,7,4]=>[1,3,2,5,6,7,4]=>[4,7,6,5,2,3,1]=>[[1,2],[3,6],[4],[5],[7]]=>8 [5,3,1,2,7,4,6]=>[1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1]=>[[1,3],[2,5],[4,6],[7]]=>8 [5,3,1,2,7,6,4]=>[1,3,7,2,5,6,4]=>[4,6,5,2,7,3,1]=>[[1,2,5],[3,6],[4],[7]]=>9 [5,3,1,4,2,6,7]=>[1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1]=>[[1,4,5],[2],[3],[6],[7]]=>7 [5,3,1,4,2,7,6]=>[1,3,5,4,7,2,6]=>[6,2,7,4,5,3,1]=>[[1,3,5],[2,4],[6],[7]]=>8 [5,3,1,4,6,2,7]=>[1,3,5,4,6,2,7]=>[7,2,6,4,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>8 [5,3,1,4,6,7,2]=>[1,3,5,4,6,7,2]=>[2,7,6,4,5,3,1]=>[[1,2,5],[3],[4],[6],[7]]=>9 [5,3,1,4,7,2,6]=>[1,3,5,7,4,2,6]=>[6,2,4,7,5,3,1]=>[[1,3,4],[2,5],[6],[7]]=>9 [5,3,1,4,7,6,2]=>[1,3,5,7,4,6,2]=>[2,6,4,7,5,3,1]=>[[1,2,4],[3,5],[6],[7]]=>10 [5,3,1,6,2,4,7]=>[1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>8 [5,3,1,6,2,7,4]=>[1,3,5,2,6,7,4]=>[4,7,6,2,5,3,1]=>[[1,2],[3,5],[4],[6],[7]]=>9 [5,3,1,6,4,2,7]=>[1,3,5,6,4,2,7]=>[7,2,4,6,5,3,1]=>[[1,3,4],[2],[5],[6],[7]]=>9 [5,3,1,6,4,7,2]=>[1,3,5,6,4,7,2]=>[2,7,4,6,5,3,1]=>[[1,2,4],[3],[5],[6],[7]]=>10 [5,3,1,6,7,2,4]=>[1,3,5,6,2,7,4]=>[4,7,2,6,5,3,1]=>[[1,2],[3,4],[5],[6],[7]]=>10 [5,3,1,6,7,4,2]=>[1,3,5,6,7,4,2]=>[2,4,7,6,5,3,1]=>[[1,2,3],[4],[5],[6],[7]]=>11 [5,3,1,7,2,4,6]=>[3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>9 [5,3,1,7,2,6,4]=>[1,3,5,7,2,6,4]=>[4,6,2,7,5,3,1]=>[[1,2,4],[3,5],[6],[7]]=>10 [5,3,1,7,4,2,6]=>[3,1,5,7,4,2,6]=>[6,2,4,7,5,1,3]=>[[1,3,4],[2,5],[6,7]]=>10 [5,3,1,7,4,6,2]=>[5,1,3,7,4,6,2]=>[2,6,4,7,3,1,5]=>[[1,2,4],[3,7],[5],[6]]=>11 [5,3,1,7,6,2,4]=>[7,1,3,5,2,6,4]=>[4,6,2,5,3,1,7]=>[[1,2,7],[3,4],[5],[6]]=>11 [5,3,1,7,6,4,2]=>[7,1,3,5,6,4,2]=>[2,4,6,5,3,1,7]=>[[1,2,3,7],[4],[5],[6]]=>12 [5,3,2,1,4,6,7]=>[3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3]=>[[1,4,7],[2,6],[3],[5]]=>7 [5,3,2,1,4,7,6]=>[3,2,1,5,7,4,6]=>[6,4,7,5,1,2,3]=>[[1,3,7],[2,4],[5,6]]=>8 [5,3,2,1,6,4,7]=>[3,2,1,5,6,4,7]=>[7,4,6,5,1,2,3]=>[[1,3,7],[2,6],[4],[5]]=>8 [5,3,2,1,6,7,4]=>[3,2,1,5,6,7,4]=>[4,7,6,5,1,2,3]=>[[1,2,7],[3,6],[4],[5]]=>9 [5,3,2,1,7,4,6]=>[3,2,5,1,7,4,6]=>[6,4,7,1,5,2,3]=>[[1,3,7],[2,5],[4,6]]=>9 [5,3,2,1,7,6,4]=>[3,2,7,1,5,6,4]=>[4,6,5,1,7,2,3]=>[[1,2,5],[3,6,7],[4]]=>10 [5,3,2,4,1,6,7]=>[3,2,5,4,1,6,7]=>[7,6,1,4,5,2,3]=>[[1,4,5],[2,7],[3],[6]]=>8 [5,3,2,4,1,7,6]=>[3,2,5,4,7,1,6]=>[6,1,7,4,5,2,3]=>[[1,3,5],[2,4],[6,7]]=>9 [5,3,2,4,6,1,7]=>[3,2,5,4,6,1,7]=>[7,1,6,4,5,2,3]=>[[1,3,5],[2,7],[4],[6]]=>9 [5,3,2,4,6,7,1]=>[3,2,5,4,6,7,1]=>[1,7,6,4,5,2,3]=>[[1,2,5],[3,7],[4],[6]]=>10 [5,3,2,4,7,1,6]=>[3,2,5,7,4,1,6]=>[6,1,4,7,5,2,3]=>[[1,3,4],[2,5],[6,7]]=>10 [5,3,2,4,7,6,1]=>[3,2,5,7,4,6,1]=>[1,6,4,7,5,2,3]=>[[1,2,4],[3,5],[6,7]]=>11 [5,3,2,6,1,4,7]=>[3,2,5,1,6,4,7]=>[7,4,6,1,5,2,3]=>[[1,3,7],[2,5],[4],[6]]=>9 [5,3,2,6,1,7,4]=>[3,2,5,1,6,7,4]=>[4,7,6,1,5,2,3]=>[[1,2,7],[3,5],[4],[6]]=>10 [5,3,2,6,4,1,7]=>[3,2,5,6,4,1,7]=>[7,1,4,6,5,2,3]=>[[1,3,4],[2,7],[5],[6]]=>10 [5,3,2,6,4,7,1]=>[3,2,5,6,4,7,1]=>[1,7,4,6,5,2,3]=>[[1,2,4],[3,7],[5],[6]]=>11 [5,3,2,6,7,1,4]=>[3,2,5,6,1,7,4]=>[4,7,1,6,5,2,3]=>[[1,2,7],[3,4],[5],[6]]=>11 [5,3,2,6,7,4,1]=>[3,2,5,6,7,4,1]=>[1,4,7,6,5,2,3]=>[[1,2,3],[4,7],[5],[6]]=>12 [5,3,2,7,1,4,6]=>[3,5,2,1,7,4,6]=>[6,4,7,1,2,5,3]=>[[1,3,6],[2,5],[4,7]]=>10 [5,3,2,7,1,6,4]=>[3,2,5,7,1,6,4]=>[4,6,1,7,5,2,3]=>[[1,2,4],[3,5,7],[6]]=>11 [5,3,2,7,4,1,6]=>[3,5,2,7,4,1,6]=>[6,1,4,7,2,5,3]=>[[1,3,4],[2,6],[5,7]]=>11 [5,3,2,7,4,6,1]=>[3,5,2,7,4,6,1]=>[1,6,4,7,2,5,3]=>[[1,2,4],[3,6],[5,7]]=>12 [5,3,2,7,6,1,4]=>[3,7,2,5,1,6,4]=>[4,6,1,5,2,7,3]=>[[1,2,6],[3,4,7],[5]]=>12 [5,3,2,7,6,4,1]=>[3,7,2,5,6,4,1]=>[1,4,6,5,2,7,3]=>[[1,2,3,6],[4,7],[5]]=>13 [5,3,4,1,2,6,7]=>[3,1,5,4,2,6,7]=>[7,6,2,4,5,1,3]=>[[1,4,5],[2,7],[3],[6]]=>8 [5,3,4,1,2,7,6]=>[3,1,5,4,7,2,6]=>[6,2,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7]]=>9 [5,3,4,1,6,2,7]=>[3,1,5,4,6,2,7]=>[7,2,6,4,5,1,3]=>[[1,3,5],[2,7],[4],[6]]=>9 [5,3,4,1,6,7,2]=>[3,1,5,4,6,7,2]=>[2,7,6,4,5,1,3]=>[[1,2,5],[3,7],[4],[6]]=>10 [5,3,4,1,7,2,6]=>[3,5,4,1,7,2,6]=>[6,2,7,1,4,5,3]=>[[1,3,6],[2,5],[4,7]]=>10 [5,3,4,1,7,6,2]=>[3,1,5,7,4,6,2]=>[2,6,4,7,5,1,3]=>[[1,2,4],[3,5],[6,7]]=>11 [5,3,4,2,1,6,7]=>[3,5,4,2,1,6,7]=>[7,6,1,2,4,5,3]=>[[1,4,5,6],[2],[3],[7]]=>9 [5,3,4,2,1,7,6]=>[3,5,4,2,7,1,6]=>[6,1,7,2,4,5,3]=>[[1,3,5,6],[2,4],[7]]=>10 [5,3,4,2,6,1,7]=>[3,5,4,2,6,1,7]=>[7,1,6,2,4,5,3]=>[[1,3,5,6],[2],[4],[7]]=>10 [5,3,4,2,6,7,1]=>[3,5,4,2,6,7,1]=>[1,7,6,2,4,5,3]=>[[1,2,5,6],[3],[4],[7]]=>11 [5,3,4,2,7,1,6]=>[3,5,4,7,2,1,6]=>[6,1,2,7,4,5,3]=>[[1,3,4,6],[2,5],[7]]=>11 [5,3,4,2,7,6,1]=>[3,5,4,7,2,6,1]=>[1,6,2,7,4,5,3]=>[[1,2,4,6],[3,5],[7]]=>12 [5,3,4,6,1,2,7]=>[3,5,4,1,6,2,7]=>[7,2,6,1,4,5,3]=>[[1,3,6],[2,5],[4],[7]]=>10 [5,3,4,6,1,7,2]=>[3,5,4,1,6,7,2]=>[2,7,6,1,4,5,3]=>[[1,2,6],[3,5],[4],[7]]=>11 [5,3,4,6,2,1,7]=>[3,5,4,6,2,1,7]=>[7,1,2,6,4,5,3]=>[[1,3,4,6],[2],[5],[7]]=>11 [5,3,4,6,2,7,1]=>[3,5,4,6,2,7,1]=>[1,7,2,6,4,5,3]=>[[1,2,4,6],[3],[5],[7]]=>12 [5,3,4,6,7,1,2]=>[3,5,4,6,1,7,2]=>[2,7,1,6,4,5,3]=>[[1,2,6],[3,4],[5],[7]]=>12 [5,3,4,6,7,2,1]=>[3,5,4,6,7,2,1]=>[1,2,7,6,4,5,3]=>[[1,2,3,6],[4],[5],[7]]=>13 [5,3,4,7,1,2,6]=>[3,5,1,7,4,2,6]=>[6,2,4,7,1,5,3]=>[[1,3,4],[2,6],[5,7]]=>11 [5,3,4,7,1,6,2]=>[3,5,4,7,1,6,2]=>[2,6,1,7,4,5,3]=>[[1,2,4],[3,5,6],[7]]=>12 [5,3,4,7,2,1,6]=>[3,5,7,4,2,1,6]=>[6,1,2,4,7,5,3]=>[[1,3,4,5],[2,6],[7]]=>12 [5,3,4,7,2,6,1]=>[3,5,7,4,2,6,1]=>[1,6,2,4,7,5,3]=>[[1,2,4,5],[3,6],[7]]=>13 [5,3,4,7,6,1,2]=>[3,5,7,4,1,6,2]=>[2,6,1,4,7,5,3]=>[[1,2,5],[3,4,6],[7]]=>13 [5,3,4,7,6,2,1]=>[3,5,7,4,6,2,1]=>[1,2,6,4,7,5,3]=>[[1,2,3,5],[4,6],[7]]=>14 [5,3,6,1,2,4,7]=>[3,1,5,2,6,4,7]=>[7,4,6,2,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>9 [5,3,6,1,2,7,4]=>[3,1,5,2,6,7,4]=>[4,7,6,2,5,1,3]=>[[1,2],[3,5],[4,7],[6]]=>10 [5,3,6,1,4,2,7]=>[3,1,5,6,4,2,7]=>[7,2,4,6,5,1,3]=>[[1,3,4],[2,7],[5],[6]]=>10 [5,3,6,1,4,7,2]=>[3,1,5,6,4,7,2]=>[2,7,4,6,5,1,3]=>[[1,2,4],[3,7],[5],[6]]=>11 [5,3,6,1,7,2,4]=>[3,1,5,6,2,7,4]=>[4,7,2,6,5,1,3]=>[[1,2],[3,4],[5,7],[6]]=>11 [5,3,6,1,7,4,2]=>[3,1,5,6,7,4,2]=>[2,4,7,6,5,1,3]=>[[1,2,3],[4,7],[5],[6]]=>12 [5,3,6,2,1,4,7]=>[3,5,2,1,6,4,7]=>[7,4,6,1,2,5,3]=>[[1,3,6],[2,5],[4],[7]]=>10 [5,3,6,2,1,7,4]=>[3,5,2,1,6,7,4]=>[4,7,6,1,2,5,3]=>[[1,2,6],[3,5],[4],[7]]=>11 [5,3,6,2,4,1,7]=>[3,5,2,6,4,1,7]=>[7,1,4,6,2,5,3]=>[[1,3,4],[2,6],[5],[7]]=>11 [5,3,6,2,4,7,1]=>[3,5,2,6,4,7,1]=>[1,7,4,6,2,5,3]=>[[1,2,4],[3,6],[5],[7]]=>12 [5,3,6,2,7,1,4]=>[3,5,2,6,1,7,4]=>[4,7,1,6,2,5,3]=>[[1,2,6],[3,4],[5],[7]]=>12 [5,3,6,2,7,4,1]=>[3,5,2,6,7,4,1]=>[1,4,7,6,2,5,3]=>[[1,2,3],[4,6],[5],[7]]=>13 [5,3,6,4,1,2,7]=>[3,5,1,6,4,2,7]=>[7,2,4,6,1,5,3]=>[[1,3,4],[2,6],[5],[7]]=>11 [5,3,6,4,1,7,2]=>[3,5,1,6,4,7,2]=>[2,7,4,6,1,5,3]=>[[1,2,4],[3,6],[5],[7]]=>12 [5,3,6,4,2,1,7]=>[3,5,6,4,2,1,7]=>[7,1,2,4,6,5,3]=>[[1,3,4,5],[2],[6],[7]]=>12 [5,3,6,4,2,7,1]=>[3,5,6,4,2,7,1]=>[1,7,2,4,6,5,3]=>[[1,2,4,5],[3],[6],[7]]=>13 [5,3,6,4,7,1,2]=>[3,5,6,4,1,7,2]=>[2,7,1,4,6,5,3]=>[[1,2,5],[3,4],[6],[7]]=>13 [5,3,6,4,7,2,1]=>[3,5,6,4,7,2,1]=>[1,2,7,4,6,5,3]=>[[1,2,3,5],[4],[6],[7]]=>14 [5,3,6,7,1,2,4]=>[3,5,1,6,2,7,4]=>[4,7,2,6,1,5,3]=>[[1,2],[3,4],[5,6],[7]]=>12 [5,3,6,7,1,4,2]=>[3,5,1,6,7,4,2]=>[2,4,7,6,1,5,3]=>[[1,2,3],[4,6],[5],[7]]=>13 [5,3,6,7,2,1,4]=>[3,5,6,2,1,7,4]=>[4,7,1,2,6,5,3]=>[[1,2,5],[3,4],[6],[7]]=>13 [5,3,6,7,2,4,1]=>[3,5,6,2,7,4,1]=>[1,4,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>14 [5,3,6,7,4,1,2]=>[3,5,6,1,7,4,2]=>[2,4,7,1,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>14 [5,3,6,7,4,2,1]=>[3,5,6,7,4,2,1]=>[1,2,4,7,6,5,3]=>[[1,2,3,4],[5],[6],[7]]=>15 [5,3,7,1,2,4,6]=>[1,5,3,2,7,4,6]=>[6,4,7,2,3,5,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [5,3,7,1,2,6,4]=>[3,1,5,7,2,6,4]=>[4,6,2,7,5,1,3]=>[[1,2,4],[3,5],[6,7]]=>11 [5,3,7,1,4,2,6]=>[1,5,3,7,4,2,6]=>[6,2,4,7,3,5,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [5,3,7,1,4,6,2]=>[3,5,1,7,4,6,2]=>[2,6,4,7,1,5,3]=>[[1,2,4],[3,6],[5,7]]=>12 [5,3,7,1,6,2,4]=>[3,5,1,7,2,6,4]=>[4,6,2,7,1,5,3]=>[[1,2,4],[3,6],[5,7]]=>12 [5,3,7,1,6,4,2]=>[3,7,1,5,6,4,2]=>[2,4,6,5,1,7,3]=>[[1,2,3,6],[4,7],[5]]=>13 [5,3,7,2,1,4,6]=>[5,3,2,1,7,4,6]=>[6,4,7,1,2,3,5]=>[[1,3,6,7],[2,5],[4]]=>11 [5,3,7,2,1,6,4]=>[3,5,2,7,1,6,4]=>[4,6,1,7,2,5,3]=>[[1,2,4],[3,5,6],[7]]=>12 [5,3,7,2,4,1,6]=>[5,3,2,7,4,1,6]=>[6,1,4,7,2,3,5]=>[[1,3,4,7],[2,6],[5]]=>12 [5,3,7,2,4,6,1]=>[5,3,2,7,4,6,1]=>[1,6,4,7,2,3,5]=>[[1,2,4,7],[3,6],[5]]=>13 [5,3,7,2,6,1,4]=>[3,5,7,2,1,6,4]=>[4,6,1,2,7,5,3]=>[[1,2,5],[3,4,6],[7]]=>13 [5,3,7,2,6,4,1]=>[3,5,7,2,6,4,1]=>[1,4,6,2,7,5,3]=>[[1,2,3,5],[4,6],[7]]=>14 [5,3,7,4,1,2,6]=>[5,3,1,7,4,2,6]=>[6,2,4,7,1,3,5]=>[[1,3,4],[2,6,7],[5]]=>12 [5,3,7,4,1,6,2]=>[5,3,1,7,4,6,2]=>[2,6,4,7,1,3,5]=>[[1,2,4],[3,6,7],[5]]=>13 [5,3,7,4,2,1,6]=>[5,3,7,4,2,1,6]=>[6,1,2,4,7,3,5]=>[[1,3,4,5],[2,7],[6]]=>13 [5,3,7,4,2,6,1]=>[5,3,7,4,2,6,1]=>[1,6,2,4,7,3,5]=>[[1,2,4,5],[3,7],[6]]=>14 [5,3,7,4,6,1,2]=>[5,3,7,4,1,6,2]=>[2,6,1,4,7,3,5]=>[[1,2,5],[3,4,7],[6]]=>14 [5,3,7,4,6,2,1]=>[5,3,7,4,6,2,1]=>[1,2,6,4,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>15 [5,3,7,6,1,2,4]=>[7,3,1,5,2,6,4]=>[4,6,2,5,1,3,7]=>[[1,2,7],[3,4],[5,6]]=>13 [5,3,7,6,1,4,2]=>[3,5,7,1,6,4,2]=>[2,4,6,1,7,5,3]=>[[1,2,3,5],[4,6],[7]]=>14 [5,3,7,6,2,1,4]=>[7,3,5,2,1,6,4]=>[4,6,1,2,5,3,7]=>[[1,2,5,7],[3,4],[6]]=>14 [5,3,7,6,2,4,1]=>[7,3,5,2,6,4,1]=>[1,4,6,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>15 [5,3,7,6,4,1,2]=>[7,3,5,1,6,4,2]=>[2,4,6,1,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>15 [5,3,7,6,4,2,1]=>[7,3,5,6,4,2,1]=>[1,2,4,6,5,3,7]=>[[1,2,3,4,7],[5],[6]]=>16 [5,4,1,2,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>7 [5,4,1,2,3,7,6]=>[1,2,5,4,7,3,6]=>[6,3,7,4,5,2,1]=>[[1,3,5],[2,4],[6],[7]]=>8 [5,4,1,2,6,3,7]=>[1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>8 [5,4,1,2,6,7,3]=>[1,2,5,4,6,7,3]=>[3,7,6,4,5,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>9 [5,4,1,2,7,3,6]=>[5,1,4,2,7,3,6]=>[6,3,7,2,4,1,5]=>[[1,3,7],[2,5],[4],[6]]=>9 [5,4,1,2,7,6,3]=>[1,2,5,7,4,6,3]=>[3,6,4,7,5,2,1]=>[[1,2,4],[3,5],[6],[7]]=>10 [5,4,1,3,2,6,7]=>[5,1,4,3,2,6,7]=>[7,6,2,3,4,1,5]=>[[1,4,5,7],[2],[3],[6]]=>8 [5,4,1,3,2,7,6]=>[5,1,4,3,7,2,6]=>[6,2,7,3,4,1,5]=>[[1,3,5,7],[2,4],[6]]=>9 [5,4,1,3,6,2,7]=>[5,1,4,3,6,2,7]=>[7,2,6,3,4,1,5]=>[[1,3,5,7],[2],[4],[6]]=>9 [5,4,1,3,6,7,2]=>[5,1,4,3,6,7,2]=>[2,7,6,3,4,1,5]=>[[1,2,5,7],[3],[4],[6]]=>10 [5,4,1,3,7,2,6]=>[5,1,4,7,3,2,6]=>[6,2,3,7,4,1,5]=>[[1,3,4,7],[2,5],[6]]=>10 [5,4,1,3,7,6,2]=>[5,1,4,7,3,6,2]=>[2,6,3,7,4,1,5]=>[[1,2,4,7],[3,5],[6]]=>11 [5,4,1,6,2,3,7]=>[5,1,4,2,6,3,7]=>[7,3,6,2,4,1,5]=>[[1,3,7],[2,5],[4],[6]]=>9 [5,4,1,6,2,7,3]=>[5,1,4,2,6,7,3]=>[3,7,6,2,4,1,5]=>[[1,2,7],[3,5],[4],[6]]=>10 [5,4,1,6,3,2,7]=>[5,1,4,6,3,2,7]=>[7,2,3,6,4,1,5]=>[[1,3,4,7],[2],[5],[6]]=>10 [5,4,1,6,3,7,2]=>[5,1,4,6,3,7,2]=>[2,7,3,6,4,1,5]=>[[1,2,4,7],[3],[5],[6]]=>11 [5,4,1,6,7,2,3]=>[5,1,4,6,2,7,3]=>[3,7,2,6,4,1,5]=>[[1,2,7],[3,4],[5],[6]]=>11 [5,4,1,6,7,3,2]=>[5,1,4,6,7,3,2]=>[2,3,7,6,4,1,5]=>[[1,2,3,7],[4],[5],[6]]=>12 [5,4,1,7,2,3,6]=>[1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [5,4,1,7,2,6,3]=>[5,1,4,7,2,6,3]=>[3,6,2,7,4,1,5]=>[[1,2,4],[3,5,7],[6]]=>11 [5,4,1,7,3,2,6]=>[1,5,4,7,3,2,6]=>[6,2,3,7,4,5,1]=>[[1,3,4,6],[2,5],[7]]=>11 [5,4,1,7,3,6,2]=>[5,7,1,4,3,6,2]=>[2,6,3,4,1,7,5]=>[[1,2,4,6],[3,7],[5]]=>12 [5,4,1,7,6,2,3]=>[5,7,1,4,2,6,3]=>[3,6,2,4,1,7,5]=>[[1,2,6],[3,4,7],[5]]=>12 [5,4,1,7,6,3,2]=>[5,7,1,4,6,3,2]=>[2,3,6,4,1,7,5]=>[[1,2,3,6],[4,7],[5]]=>13 [5,4,2,1,3,6,7]=>[2,1,5,4,3,6,7]=>[7,6,3,4,5,1,2]=>[[1,4,5],[2,7],[3],[6]]=>8 [5,4,2,1,3,7,6]=>[2,1,5,4,7,3,6]=>[6,3,7,4,5,1,2]=>[[1,3,5],[2,4],[6,7]]=>9 [5,4,2,1,6,3,7]=>[2,1,5,4,6,3,7]=>[7,3,6,4,5,1,2]=>[[1,3,5],[2,7],[4],[6]]=>9 [5,4,2,1,6,7,3]=>[2,1,5,4,6,7,3]=>[3,7,6,4,5,1,2]=>[[1,2,5],[3,7],[4],[6]]=>10 [5,4,2,1,7,3,6]=>[2,5,4,1,7,3,6]=>[6,3,7,1,4,5,2]=>[[1,3,6],[2,5],[4,7]]=>10 [5,4,2,1,7,6,3]=>[2,1,5,7,4,6,3]=>[3,6,4,7,5,1,2]=>[[1,2,4],[3,5],[6,7]]=>11 [5,4,2,3,1,6,7]=>[2,5,4,3,1,6,7]=>[7,6,1,3,4,5,2]=>[[1,4,5,6],[2],[3],[7]]=>9 [5,4,2,3,1,7,6]=>[2,5,4,3,7,1,6]=>[6,1,7,3,4,5,2]=>[[1,3,5,6],[2,4],[7]]=>10 [5,4,2,3,6,1,7]=>[2,5,4,3,6,1,7]=>[7,1,6,3,4,5,2]=>[[1,3,5,6],[2],[4],[7]]=>10 [5,4,2,3,6,7,1]=>[2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2]=>[[1,2,5,6],[3],[4],[7]]=>11 [5,4,2,3,7,1,6]=>[2,5,4,7,3,1,6]=>[6,1,3,7,4,5,2]=>[[1,3,4,6],[2,5],[7]]=>11 [5,4,2,3,7,6,1]=>[2,5,4,7,3,6,1]=>[1,6,3,7,4,5,2]=>[[1,2,4,6],[3,5],[7]]=>12 [5,4,2,6,1,3,7]=>[2,5,4,1,6,3,7]=>[7,3,6,1,4,5,2]=>[[1,3,6],[2,5],[4],[7]]=>10 [5,4,2,6,1,7,3]=>[2,5,4,1,6,7,3]=>[3,7,6,1,4,5,2]=>[[1,2,6],[3,5],[4],[7]]=>11 [5,4,2,6,3,1,7]=>[2,5,4,6,3,1,7]=>[7,1,3,6,4,5,2]=>[[1,3,4,6],[2],[5],[7]]=>11 [5,4,2,6,3,7,1]=>[2,5,4,6,3,7,1]=>[1,7,3,6,4,5,2]=>[[1,2,4,6],[3],[5],[7]]=>12 [5,4,2,6,7,1,3]=>[2,5,4,6,1,7,3]=>[3,7,1,6,4,5,2]=>[[1,2,6],[3,4],[5],[7]]=>12 [5,4,2,6,7,3,1]=>[2,5,4,6,7,3,1]=>[1,3,7,6,4,5,2]=>[[1,2,3,6],[4],[5],[7]]=>13 [5,4,2,7,1,3,6]=>[5,4,2,1,7,3,6]=>[6,3,7,1,2,4,5]=>[[1,3,6,7],[2,5],[4]]=>11 [5,4,2,7,1,6,3]=>[2,5,4,7,1,6,3]=>[3,6,1,7,4,5,2]=>[[1,2,4],[3,5,6],[7]]=>12 [5,4,2,7,3,1,6]=>[5,4,2,7,3,1,6]=>[6,1,3,7,2,4,5]=>[[1,3,4,7],[2,6],[5]]=>12 [5,4,2,7,3,6,1]=>[5,4,2,7,3,6,1]=>[1,6,3,7,2,4,5]=>[[1,2,4,7],[3,6],[5]]=>13 [5,4,2,7,6,1,3]=>[2,5,7,4,1,6,3]=>[3,6,1,4,7,5,2]=>[[1,2,5],[3,4,6],[7]]=>13 [5,4,2,7,6,3,1]=>[2,5,7,4,6,3,1]=>[1,3,6,4,7,5,2]=>[[1,2,3,5],[4,6],[7]]=>14 [5,4,3,1,2,6,7]=>[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>[[1,4,5,6],[2],[3],[7]]=>9 [5,4,3,1,2,7,6]=>[1,5,4,3,7,2,6]=>[6,2,7,3,4,5,1]=>[[1,3,5,6],[2,4],[7]]=>10 [5,4,3,1,6,2,7]=>[1,5,4,3,6,2,7]=>[7,2,6,3,4,5,1]=>[[1,3,5,6],[2],[4],[7]]=>10 [5,4,3,1,6,7,2]=>[1,5,4,3,6,7,2]=>[2,7,6,3,4,5,1]=>[[1,2,5,6],[3],[4],[7]]=>11 [5,4,3,1,7,2,6]=>[5,4,3,1,7,2,6]=>[6,2,7,1,3,4,5]=>[[1,3,6,7],[2,5],[4]]=>11 [5,4,3,1,7,6,2]=>[1,5,4,7,3,6,2]=>[2,6,3,7,4,5,1]=>[[1,2,4,6],[3,5],[7]]=>12 [5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[1,4,5,6,7],[2],[3]]=>10 [5,4,3,2,1,7,6]=>[5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5]=>[[1,3,5,6,7],[2,4]]=>11 [5,4,3,2,6,1,7]=>[5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5]=>[[1,3,5,6,7],[2],[4]]=>11 [5,4,3,2,6,7,1]=>[5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5]=>[[1,2,5,6,7],[3],[4]]=>12 [5,4,3,2,7,1,6]=>[5,4,3,7,2,1,6]=>[6,1,2,7,3,4,5]=>[[1,3,4,6,7],[2,5]]=>12 [5,4,3,2,7,6,1]=>[5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5]=>[[1,2,4,6,7],[3,5]]=>13 [5,4,3,6,1,2,7]=>[5,4,3,1,6,2,7]=>[7,2,6,1,3,4,5]=>[[1,3,6,7],[2,5],[4]]=>11 [5,4,3,6,1,7,2]=>[5,4,3,1,6,7,2]=>[2,7,6,1,3,4,5]=>[[1,2,6,7],[3,5],[4]]=>12 [5,4,3,6,2,1,7]=>[5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5]=>[[1,3,4,6,7],[2],[5]]=>12 [5,4,3,6,2,7,1]=>[5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5]=>[[1,2,4,6,7],[3],[5]]=>13 [5,4,3,6,7,1,2]=>[5,4,3,6,1,7,2]=>[2,7,1,6,3,4,5]=>[[1,2,6,7],[3,4],[5]]=>13 [5,4,3,6,7,2,1]=>[5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5]=>[[1,2,3,6,7],[4],[5]]=>14 [5,4,3,7,1,2,6]=>[5,4,1,7,3,2,6]=>[6,2,3,7,1,4,5]=>[[1,3,4,7],[2,6],[5]]=>12 [5,4,3,7,1,6,2]=>[5,4,3,7,1,6,2]=>[2,6,1,7,3,4,5]=>[[1,2,4,7],[3,5,6]]=>13 [5,4,3,7,2,1,6]=>[5,4,7,3,2,1,6]=>[6,1,2,3,7,4,5]=>[[1,3,4,5,7],[2,6]]=>13 [5,4,3,7,2,6,1]=>[5,4,7,3,2,6,1]=>[1,6,2,3,7,4,5]=>[[1,2,4,5,7],[3,6]]=>14 [5,4,3,7,6,1,2]=>[5,4,7,3,1,6,2]=>[2,6,1,3,7,4,5]=>[[1,2,5,7],[3,4,6]]=>14 [5,4,3,7,6,2,1]=>[5,4,7,3,6,2,1]=>[1,2,6,3,7,4,5]=>[[1,2,3,5,7],[4,6]]=>15 [5,4,6,1,2,3,7]=>[1,5,4,2,6,3,7]=>[7,3,6,2,4,5,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [5,4,6,1,2,7,3]=>[1,5,4,2,6,7,3]=>[3,7,6,2,4,5,1]=>[[1,2,6],[3,5],[4],[7]]=>11 [5,4,6,1,3,2,7]=>[1,5,4,6,3,2,7]=>[7,2,3,6,4,5,1]=>[[1,3,4,6],[2],[5],[7]]=>11 [5,4,6,1,3,7,2]=>[1,5,4,6,3,7,2]=>[2,7,3,6,4,5,1]=>[[1,2,4,6],[3],[5],[7]]=>12 [5,4,6,1,7,2,3]=>[1,5,4,6,2,7,3]=>[3,7,2,6,4,5,1]=>[[1,2,6],[3,4],[5],[7]]=>12 [5,4,6,1,7,3,2]=>[1,5,4,6,7,3,2]=>[2,3,7,6,4,5,1]=>[[1,2,3,6],[4],[5],[7]]=>13 [5,4,6,2,1,3,7]=>[5,4,2,1,6,3,7]=>[7,3,6,1,2,4,5]=>[[1,3,6,7],[2,5],[4]]=>11 [5,4,6,2,1,7,3]=>[5,4,2,1,6,7,3]=>[3,7,6,1,2,4,5]=>[[1,2,6,7],[3,5],[4]]=>12 [5,4,6,2,3,1,7]=>[5,4,2,6,3,1,7]=>[7,1,3,6,2,4,5]=>[[1,3,4,7],[2,6],[5]]=>12 [5,4,6,2,3,7,1]=>[5,4,2,6,3,7,1]=>[1,7,3,6,2,4,5]=>[[1,2,4,7],[3,6],[5]]=>13 [5,4,6,2,7,1,3]=>[5,4,2,6,1,7,3]=>[3,7,1,6,2,4,5]=>[[1,2,6,7],[3,4],[5]]=>13 [5,4,6,2,7,3,1]=>[5,4,2,6,7,3,1]=>[1,3,7,6,2,4,5]=>[[1,2,3,7],[4,6],[5]]=>14 [5,4,6,3,1,2,7]=>[5,4,1,6,3,2,7]=>[7,2,3,6,1,4,5]=>[[1,3,4,7],[2,6],[5]]=>12 [5,4,6,3,1,7,2]=>[5,4,1,6,3,7,2]=>[2,7,3,6,1,4,5]=>[[1,2,4,7],[3,6],[5]]=>13 [5,4,6,3,2,1,7]=>[5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5]=>[[1,3,4,5,7],[2],[6]]=>13 [5,4,6,3,2,7,1]=>[5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5]=>[[1,2,4,5,7],[3],[6]]=>14 [5,4,6,3,7,1,2]=>[5,4,6,3,1,7,2]=>[2,7,1,3,6,4,5]=>[[1,2,5,7],[3,4],[6]]=>14 [5,4,6,3,7,2,1]=>[5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5]=>[[1,2,3,5,7],[4],[6]]=>15 [5,4,6,7,1,2,3]=>[5,4,1,6,2,7,3]=>[3,7,2,6,1,4,5]=>[[1,2,7],[3,4],[5,6]]=>13 [5,4,6,7,1,3,2]=>[5,4,1,6,7,3,2]=>[2,3,7,6,1,4,5]=>[[1,2,3,7],[4,6],[5]]=>14 [5,4,6,7,2,1,3]=>[5,4,6,2,1,7,3]=>[3,7,1,2,6,4,5]=>[[1,2,5,7],[3,4],[6]]=>14 [5,4,6,7,2,3,1]=>[5,4,6,2,7,3,1]=>[1,3,7,2,6,4,5]=>[[1,2,3,7],[4,5],[6]]=>15 [5,4,6,7,3,1,2]=>[5,4,6,1,7,3,2]=>[2,3,7,1,6,4,5]=>[[1,2,3,7],[4,5],[6]]=>15 [5,4,6,7,3,2,1]=>[5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5]=>[[1,2,3,4,7],[5],[6]]=>16 [5,4,7,1,2,3,6]=>[1,5,2,7,4,3,6]=>[6,3,4,7,2,5,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [5,4,7,1,2,6,3]=>[1,5,4,7,2,6,3]=>[3,6,2,7,4,5,1]=>[[1,2,4],[3,5,6],[7]]=>12 [5,4,7,1,3,2,6]=>[1,5,7,4,3,2,6]=>[6,2,3,4,7,5,1]=>[[1,3,4,5],[2,6],[7]]=>12 [5,4,7,1,3,6,2]=>[5,4,1,7,3,6,2]=>[2,6,3,7,1,4,5]=>[[1,2,4,7],[3,6],[5]]=>13 [5,4,7,1,6,2,3]=>[5,4,1,7,2,6,3]=>[3,6,2,7,1,4,5]=>[[1,2,4],[3,6,7],[5]]=>13 [5,4,7,1,6,3,2]=>[1,5,7,4,6,3,2]=>[2,3,6,4,7,5,1]=>[[1,2,3,5],[4,6],[7]]=>14 [5,4,7,2,1,3,6]=>[5,2,1,7,4,3,6]=>[6,3,4,7,1,2,5]=>[[1,3,4],[2,6,7],[5]]=>12 [5,4,7,2,1,6,3]=>[5,4,2,7,1,6,3]=>[3,6,1,7,2,4,5]=>[[1,2,4,7],[3,5,6]]=>13 [5,4,7,2,3,1,6]=>[5,2,7,4,3,1,6]=>[6,1,3,4,7,2,5]=>[[1,3,4,5],[2,7],[6]]=>13 [5,4,7,2,3,6,1]=>[5,2,7,4,3,6,1]=>[1,6,3,4,7,2,5]=>[[1,2,4,5],[3,7],[6]]=>14 [5,4,7,2,6,1,3]=>[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[[1,2,5,7],[3,4,6]]=>14 [5,4,7,2,6,3,1]=>[5,4,7,2,6,3,1]=>[1,3,6,2,7,4,5]=>[[1,2,3,5],[4,6,7]]=>15 [5,4,7,3,1,2,6]=>[5,1,7,4,3,2,6]=>[6,2,3,4,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>13 [5,4,7,3,1,6,2]=>[5,1,7,4,3,6,2]=>[2,6,3,4,7,1,5]=>[[1,2,4,5],[3,7],[6]]=>14 [5,4,7,3,2,1,6]=>[5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5]=>[[1,3,4,5,6],[2,7]]=>14 [5,4,7,3,2,6,1]=>[5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5]=>[[1,2,4,5,6],[3,7]]=>15 [5,4,7,3,6,1,2]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[1,2,5,6],[3,4,7]]=>15 [5,4,7,3,6,2,1]=>[5,7,4,3,6,2,1]=>[1,2,6,3,4,7,5]=>[[1,2,3,5,6],[4,7]]=>16 [5,4,7,6,1,2,3]=>[5,1,7,4,2,6,3]=>[3,6,2,4,7,1,5]=>[[1,2,5],[3,4,7],[6]]=>14 [5,4,7,6,1,3,2]=>[5,4,7,1,6,3,2]=>[2,3,6,1,7,4,5]=>[[1,2,3,5],[4,6,7]]=>15 [5,4,7,6,2,1,3]=>[5,7,4,2,1,6,3]=>[3,6,1,2,4,7,5]=>[[1,2,5,6],[3,4,7]]=>15 [5,4,7,6,2,3,1]=>[5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5]=>[[1,2,3,6],[4,5,7]]=>16 [5,4,7,6,3,1,2]=>[5,7,4,1,6,3,2]=>[2,3,6,1,4,7,5]=>[[1,2,3,6],[4,5,7]]=>16 [5,4,7,6,3,2,1]=>[5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5]=>[[1,2,3,4,6],[5,7]]=>17 [5,6,1,2,3,4,7]=>[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>8 [5,6,1,2,3,7,4]=>[1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>9 [5,6,1,2,4,3,7]=>[1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>9 [5,6,1,2,4,7,3]=>[1,2,5,6,4,7,3]=>[3,7,4,6,5,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>10 [5,6,1,2,7,3,4]=>[1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>10 [5,6,1,2,7,4,3]=>[1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>11 [5,6,1,3,2,4,7]=>[5,1,3,2,6,4,7]=>[7,4,6,2,3,1,5]=>[[1,3,7],[2,5],[4],[6]]=>9 [5,6,1,3,2,7,4]=>[5,1,3,2,6,7,4]=>[4,7,6,2,3,1,5]=>[[1,2,7],[3,5],[4],[6]]=>10 [5,6,1,3,4,2,7]=>[5,1,3,6,4,2,7]=>[7,2,4,6,3,1,5]=>[[1,3,4],[2,7],[5],[6]]=>10 [5,6,1,3,4,7,2]=>[5,1,3,6,4,7,2]=>[2,7,4,6,3,1,5]=>[[1,2,4],[3,7],[5],[6]]=>11 [5,6,1,3,7,2,4]=>[5,1,3,6,2,7,4]=>[4,7,2,6,3,1,5]=>[[1,2,7],[3,4],[5],[6]]=>11 [5,6,1,3,7,4,2]=>[5,1,3,6,7,4,2]=>[2,4,7,6,3,1,5]=>[[1,2,3],[4,7],[5],[6]]=>12 [5,6,1,4,2,3,7]=>[5,1,2,6,4,3,7]=>[7,3,4,6,2,1,5]=>[[1,3,4],[2,7],[5],[6]]=>10 [5,6,1,4,2,7,3]=>[5,1,2,6,4,7,3]=>[3,7,4,6,2,1,5]=>[[1,2,4],[3,7],[5],[6]]=>11 [5,6,1,4,3,2,7]=>[5,6,1,4,3,2,7]=>[7,2,3,4,1,6,5]=>[[1,3,4,6],[2,7],[5]]=>11 [5,6,1,4,3,7,2]=>[5,6,1,4,3,7,2]=>[2,7,3,4,1,6,5]=>[[1,2,4,6],[3,7],[5]]=>12 [5,6,1,4,7,2,3]=>[5,6,1,4,2,7,3]=>[3,7,2,4,1,6,5]=>[[1,2,6],[3,4],[5,7]]=>12 [5,6,1,4,7,3,2]=>[5,6,1,4,7,3,2]=>[2,3,7,4,1,6,5]=>[[1,2,3,6],[4,7],[5]]=>13 [5,6,1,7,2,3,4]=>[5,1,2,6,3,7,4]=>[4,7,3,6,2,1,5]=>[[1,2],[3,4],[5,7],[6]]=>11 [5,6,1,7,2,4,3]=>[5,1,2,6,7,4,3]=>[3,4,7,6,2,1,5]=>[[1,2,3],[4,7],[5],[6]]=>12 [5,6,1,7,3,2,4]=>[5,6,1,3,2,7,4]=>[4,7,2,3,1,6,5]=>[[1,2,6],[3,4],[5,7]]=>12 [5,6,1,7,3,4,2]=>[5,6,1,3,7,4,2]=>[2,4,7,3,1,6,5]=>[[1,2,3],[4,6],[5,7]]=>13 [5,6,1,7,4,2,3]=>[5,6,1,2,7,4,3]=>[3,4,7,2,1,6,5]=>[[1,2,3],[4,6],[5,7]]=>13 [5,6,1,7,4,3,2]=>[5,6,7,1,4,3,2]=>[2,3,4,1,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>14 [5,6,2,1,3,4,7]=>[2,1,5,3,6,4,7]=>[7,4,6,3,5,1,2]=>[[1,3],[2,5],[4,7],[6]]=>9 [5,6,2,1,3,7,4]=>[2,1,5,3,6,7,4]=>[4,7,6,3,5,1,2]=>[[1,2],[3,5],[4,7],[6]]=>10 [5,6,2,1,4,3,7]=>[2,1,5,6,4,3,7]=>[7,3,4,6,5,1,2]=>[[1,3,4],[2,7],[5],[6]]=>10 [5,6,2,1,4,7,3]=>[2,1,5,6,4,7,3]=>[3,7,4,6,5,1,2]=>[[1,2,4],[3,7],[5],[6]]=>11 [5,6,2,1,7,3,4]=>[2,1,5,6,3,7,4]=>[4,7,3,6,5,1,2]=>[[1,2],[3,4],[5,7],[6]]=>11 [5,6,2,1,7,4,3]=>[2,1,5,6,7,4,3]=>[3,4,7,6,5,1,2]=>[[1,2,3],[4,7],[5],[6]]=>12 [5,6,2,3,1,4,7]=>[2,5,3,1,6,4,7]=>[7,4,6,1,3,5,2]=>[[1,3,6],[2,5],[4],[7]]=>10 [5,6,2,3,1,7,4]=>[2,5,3,1,6,7,4]=>[4,7,6,1,3,5,2]=>[[1,2,6],[3,5],[4],[7]]=>11 [5,6,2,3,4,1,7]=>[2,5,3,6,4,1,7]=>[7,1,4,6,3,5,2]=>[[1,3,4],[2,6],[5],[7]]=>11 [5,6,2,3,4,7,1]=>[2,5,3,6,4,7,1]=>[1,7,4,6,3,5,2]=>[[1,2,4],[3,6],[5],[7]]=>12 [5,6,2,3,7,1,4]=>[2,5,3,6,1,7,4]=>[4,7,1,6,3,5,2]=>[[1,2,6],[3,4],[5],[7]]=>12 [5,6,2,3,7,4,1]=>[2,5,3,6,7,4,1]=>[1,4,7,6,3,5,2]=>[[1,2,3],[4,6],[5],[7]]=>13 [5,6,2,4,1,3,7]=>[2,5,1,6,4,3,7]=>[7,3,4,6,1,5,2]=>[[1,3,4],[2,6],[5],[7]]=>11 [5,6,2,4,1,7,3]=>[2,5,1,6,4,7,3]=>[3,7,4,6,1,5,2]=>[[1,2,4],[3,6],[5],[7]]=>12 [5,6,2,4,3,1,7]=>[2,5,6,4,3,1,7]=>[7,1,3,4,6,5,2]=>[[1,3,4,5],[2],[6],[7]]=>12 [5,6,2,4,3,7,1]=>[2,5,6,4,3,7,1]=>[1,7,3,4,6,5,2]=>[[1,2,4,5],[3],[6],[7]]=>13 [5,6,2,4,7,1,3]=>[2,5,6,4,1,7,3]=>[3,7,1,4,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>13 [5,6,2,4,7,3,1]=>[2,5,6,4,7,3,1]=>[1,3,7,4,6,5,2]=>[[1,2,3,5],[4],[6],[7]]=>14 [5,6,2,7,1,3,4]=>[2,5,1,6,3,7,4]=>[4,7,3,6,1,5,2]=>[[1,2],[3,4],[5,6],[7]]=>12 [5,6,2,7,1,4,3]=>[2,5,1,6,7,4,3]=>[3,4,7,6,1,5,2]=>[[1,2,3],[4,6],[5],[7]]=>13 [5,6,2,7,3,1,4]=>[2,5,6,3,1,7,4]=>[4,7,1,3,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>13 [5,6,2,7,3,4,1]=>[2,5,6,3,7,4,1]=>[1,4,7,3,6,5,2]=>[[1,2,3],[4,5],[6],[7]]=>14 [5,6,2,7,4,1,3]=>[2,5,6,1,7,4,3]=>[3,4,7,1,6,5,2]=>[[1,2,3],[4,5],[6],[7]]=>14 [5,6,2,7,4,3,1]=>[2,5,6,7,4,3,1]=>[1,3,4,7,6,5,2]=>[[1,2,3,4],[5],[6],[7]]=>15 [5,6,3,1,2,4,7]=>[1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [5,6,3,1,2,7,4]=>[1,5,3,2,6,7,4]=>[4,7,6,2,3,5,1]=>[[1,2,6],[3,5],[4],[7]]=>11 [5,6,3,1,4,2,7]=>[1,5,3,6,4,2,7]=>[7,2,4,6,3,5,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [5,6,3,1,4,7,2]=>[1,5,3,6,4,7,2]=>[2,7,4,6,3,5,1]=>[[1,2,4],[3,6],[5],[7]]=>12 [5,6,3,1,7,2,4]=>[1,5,3,6,2,7,4]=>[4,7,2,6,3,5,1]=>[[1,2,6],[3,4],[5],[7]]=>12 [5,6,3,1,7,4,2]=>[1,5,3,6,7,4,2]=>[2,4,7,6,3,5,1]=>[[1,2,3],[4,6],[5],[7]]=>13 [5,6,3,2,1,4,7]=>[5,3,2,1,6,4,7]=>[7,4,6,1,2,3,5]=>[[1,3,6,7],[2,5],[4]]=>11 [5,6,3,2,1,7,4]=>[5,3,2,1,6,7,4]=>[4,7,6,1,2,3,5]=>[[1,2,6,7],[3,5],[4]]=>12 [5,6,3,2,4,1,7]=>[5,3,2,6,4,1,7]=>[7,1,4,6,2,3,5]=>[[1,3,4,7],[2,6],[5]]=>12 [5,6,3,2,4,7,1]=>[5,3,2,6,4,7,1]=>[1,7,4,6,2,3,5]=>[[1,2,4,7],[3,6],[5]]=>13 [5,6,3,2,7,1,4]=>[5,3,2,6,1,7,4]=>[4,7,1,6,2,3,5]=>[[1,2,6,7],[3,4],[5]]=>13 [5,6,3,2,7,4,1]=>[5,3,2,6,7,4,1]=>[1,4,7,6,2,3,5]=>[[1,2,3,7],[4,6],[5]]=>14 [5,6,3,4,1,2,7]=>[5,3,1,6,4,2,7]=>[7,2,4,6,1,3,5]=>[[1,3,4],[2,6,7],[5]]=>12 [5,6,3,4,1,7,2]=>[5,3,1,6,4,7,2]=>[2,7,4,6,1,3,5]=>[[1,2,4],[3,6,7],[5]]=>13 [5,6,3,4,2,1,7]=>[5,3,6,4,2,1,7]=>[7,1,2,4,6,3,5]=>[[1,3,4,5],[2,7],[6]]=>13 [5,6,3,4,2,7,1]=>[5,3,6,4,2,7,1]=>[1,7,2,4,6,3,5]=>[[1,2,4,5],[3,7],[6]]=>14 [5,6,3,4,7,1,2]=>[5,3,6,4,1,7,2]=>[2,7,1,4,6,3,5]=>[[1,2,5],[3,4,7],[6]]=>14 [5,6,3,4,7,2,1]=>[5,3,6,4,7,2,1]=>[1,2,7,4,6,3,5]=>[[1,2,3,5],[4,7],[6]]=>15 [5,6,3,7,1,2,4]=>[5,3,1,6,2,7,4]=>[4,7,2,6,1,3,5]=>[[1,2,7],[3,4],[5,6]]=>13 [5,6,3,7,1,4,2]=>[5,3,1,6,7,4,2]=>[2,4,7,6,1,3,5]=>[[1,2,3],[4,6,7],[5]]=>14 [5,6,3,7,2,1,4]=>[5,3,6,2,1,7,4]=>[4,7,1,2,6,3,5]=>[[1,2,5,7],[3,4],[6]]=>14 [5,6,3,7,2,4,1]=>[5,3,6,2,7,4,1]=>[1,4,7,2,6,3,5]=>[[1,2,3,7],[4,5],[6]]=>15 [5,6,3,7,4,1,2]=>[5,3,6,1,7,4,2]=>[2,4,7,1,6,3,5]=>[[1,2,3],[4,5,7],[6]]=>15 [5,6,3,7,4,2,1]=>[5,3,6,7,4,2,1]=>[1,2,4,7,6,3,5]=>[[1,2,3,4],[5,7],[6]]=>16 [5,6,4,1,2,3,7]=>[1,5,2,6,4,3,7]=>[7,3,4,6,2,5,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [5,6,4,1,2,7,3]=>[1,5,2,6,4,7,3]=>[3,7,4,6,2,5,1]=>[[1,2,4],[3,6],[5],[7]]=>12 [5,6,4,1,3,2,7]=>[1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1]=>[[1,3,4,5],[2],[6],[7]]=>12 [5,6,4,1,3,7,2]=>[1,5,6,4,3,7,2]=>[2,7,3,4,6,5,1]=>[[1,2,4,5],[3],[6],[7]]=>13 [5,6,4,1,7,2,3]=>[1,5,6,4,2,7,3]=>[3,7,2,4,6,5,1]=>[[1,2,5],[3,4],[6],[7]]=>13 [5,6,4,1,7,3,2]=>[1,5,6,4,7,3,2]=>[2,3,7,4,6,5,1]=>[[1,2,3,5],[4],[6],[7]]=>14 [5,6,4,2,1,3,7]=>[5,2,1,6,4,3,7]=>[7,3,4,6,1,2,5]=>[[1,3,4],[2,6,7],[5]]=>12 [5,6,4,2,1,7,3]=>[5,2,1,6,4,7,3]=>[3,7,4,6,1,2,5]=>[[1,2,4],[3,6,7],[5]]=>13 [5,6,4,2,3,1,7]=>[5,2,6,4,3,1,7]=>[7,1,3,4,6,2,5]=>[[1,3,4,5],[2,7],[6]]=>13 [5,6,4,2,3,7,1]=>[5,2,6,4,3,7,1]=>[1,7,3,4,6,2,5]=>[[1,2,4,5],[3,7],[6]]=>14 [5,6,4,2,7,1,3]=>[5,2,6,4,1,7,3]=>[3,7,1,4,6,2,5]=>[[1,2,5],[3,4,7],[6]]=>14 [5,6,4,2,7,3,1]=>[5,2,6,4,7,3,1]=>[1,3,7,4,6,2,5]=>[[1,2,3,5],[4,7],[6]]=>15 [5,6,4,3,1,2,7]=>[5,1,6,4,3,2,7]=>[7,2,3,4,6,1,5]=>[[1,3,4,5],[2,7],[6]]=>13 [5,6,4,3,1,7,2]=>[5,1,6,4,3,7,2]=>[2,7,3,4,6,1,5]=>[[1,2,4,5],[3,7],[6]]=>14 [5,6,4,3,2,1,7]=>[5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5]=>[[1,3,4,5,6],[2],[7]]=>14 [5,6,4,3,2,7,1]=>[5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5]=>[[1,2,4,5,6],[3],[7]]=>15 [5,6,4,3,7,1,2]=>[5,6,4,3,1,7,2]=>[2,7,1,3,4,6,5]=>[[1,2,5,6],[3,4],[7]]=>15 [5,6,4,3,7,2,1]=>[5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5]=>[[1,2,3,5,6],[4],[7]]=>16 [5,6,4,7,1,2,3]=>[5,1,6,4,2,7,3]=>[3,7,2,4,6,1,5]=>[[1,2,5],[3,4],[6,7]]=>14 [5,6,4,7,1,3,2]=>[5,1,6,4,7,3,2]=>[2,3,7,4,6,1,5]=>[[1,2,3,5],[4,7],[6]]=>15 [5,6,4,7,2,1,3]=>[5,6,4,2,1,7,3]=>[3,7,1,2,4,6,5]=>[[1,2,5,6],[3,4],[7]]=>15 [5,6,4,7,2,3,1]=>[5,6,4,2,7,3,1]=>[1,3,7,2,4,6,5]=>[[1,2,3,6],[4,5],[7]]=>16 [5,6,4,7,3,1,2]=>[5,6,4,1,7,3,2]=>[2,3,7,1,4,6,5]=>[[1,2,3,6],[4,5],[7]]=>16 [5,6,4,7,3,2,1]=>[5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5]=>[[1,2,3,4,6],[5],[7]]=>17 [5,6,7,1,2,3,4]=>[1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1]=>[[1,2],[3,4],[5,6],[7]]=>12 [5,6,7,1,2,4,3]=>[1,5,2,6,7,4,3]=>[3,4,7,6,2,5,1]=>[[1,2,3],[4,6],[5],[7]]=>13 [5,6,7,1,3,2,4]=>[1,5,6,3,2,7,4]=>[4,7,2,3,6,5,1]=>[[1,2,5],[3,4],[6],[7]]=>13 [5,6,7,1,3,4,2]=>[1,5,6,3,7,4,2]=>[2,4,7,3,6,5,1]=>[[1,2,3],[4,5],[6],[7]]=>14 [5,6,7,1,4,2,3]=>[1,5,6,2,7,4,3]=>[3,4,7,2,6,5,1]=>[[1,2,3],[4,5],[6],[7]]=>14 [5,6,7,1,4,3,2]=>[1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1]=>[[1,2,3,4],[5],[6],[7]]=>15 [5,6,7,2,1,3,4]=>[5,2,1,6,3,7,4]=>[4,7,3,6,1,2,5]=>[[1,2,7],[3,4],[5,6]]=>13 [5,6,7,2,1,4,3]=>[5,2,1,6,7,4,3]=>[3,4,7,6,1,2,5]=>[[1,2,3],[4,6,7],[5]]=>14 [5,6,7,2,3,1,4]=>[5,2,6,3,1,7,4]=>[4,7,1,3,6,2,5]=>[[1,2,5],[3,4],[6,7]]=>14 [5,6,7,2,3,4,1]=>[5,2,6,3,7,4,1]=>[1,4,7,3,6,2,5]=>[[1,2,3],[4,5],[6,7]]=>15 [5,6,7,2,4,1,3]=>[5,2,6,1,7,4,3]=>[3,4,7,1,6,2,5]=>[[1,2,3],[4,5,7],[6]]=>15 [5,6,7,2,4,3,1]=>[5,2,6,7,4,3,1]=>[1,3,4,7,6,2,5]=>[[1,2,3,4],[5,7],[6]]=>16 [5,6,7,3,1,2,4]=>[5,1,6,3,2,7,4]=>[4,7,2,3,6,1,5]=>[[1,2,5],[3,4],[6,7]]=>14 [5,6,7,3,1,4,2]=>[5,1,6,3,7,4,2]=>[2,4,7,3,6,1,5]=>[[1,2,3],[4,5],[6,7]]=>15 [5,6,7,3,2,1,4]=>[5,6,3,2,1,7,4]=>[4,7,1,2,3,6,5]=>[[1,2,5,6],[3,4],[7]]=>15 [5,6,7,3,2,4,1]=>[5,6,3,2,7,4,1]=>[1,4,7,2,3,6,5]=>[[1,2,3,6],[4,5],[7]]=>16 [5,6,7,3,4,1,2]=>[5,6,3,1,7,4,2]=>[2,4,7,1,3,6,5]=>[[1,2,3],[4,5,6],[7]]=>16 [5,6,7,3,4,2,1]=>[5,6,3,7,4,2,1]=>[1,2,4,7,3,6,5]=>[[1,2,3,4],[5,6],[7]]=>17 [5,6,7,4,1,2,3]=>[5,1,6,2,7,4,3]=>[3,4,7,2,6,1,5]=>[[1,2,3],[4,5],[6,7]]=>15 [5,6,7,4,1,3,2]=>[5,1,6,7,4,3,2]=>[2,3,4,7,6,1,5]=>[[1,2,3,4],[5,7],[6]]=>16 [5,6,7,4,2,1,3]=>[5,6,2,1,7,4,3]=>[3,4,7,1,2,6,5]=>[[1,2,3],[4,5,6],[7]]=>16 [5,6,7,4,2,3,1]=>[5,6,2,7,4,3,1]=>[1,3,4,7,2,6,5]=>[[1,2,3,4],[5,6],[7]]=>17 [5,6,7,4,3,1,2]=>[5,6,1,7,4,3,2]=>[2,3,4,7,1,6,5]=>[[1,2,3,4],[5,6],[7]]=>17 [5,6,7,4,3,2,1]=>[5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5]=>[[1,2,3,4,5],[6],[7]]=>18 [5,7,1,2,3,4,6]=>[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>9 [5,7,1,2,3,6,4]=>[1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1]=>[[1,2,4],[3,5],[6],[7]]=>10 [5,7,1,2,4,3,6]=>[7,1,2,5,4,3,6]=>[6,3,4,5,2,1,7]=>[[1,3,4,7],[2],[5],[6]]=>10 [5,7,1,2,4,6,3]=>[5,1,2,7,4,6,3]=>[3,6,4,7,2,1,5]=>[[1,2,4],[3,7],[5],[6]]=>11 [5,7,1,2,6,3,4]=>[5,1,2,7,3,6,4]=>[4,6,3,7,2,1,5]=>[[1,2,4],[3,7],[5],[6]]=>11 [5,7,1,2,6,4,3]=>[7,1,2,5,6,4,3]=>[3,4,6,5,2,1,7]=>[[1,2,3,7],[4],[5],[6]]=>12 [5,7,1,3,2,4,6]=>[3,1,2,7,5,4,6]=>[6,4,5,7,2,1,3]=>[[1,3,4],[2,7],[5],[6]]=>10 [5,7,1,3,2,6,4]=>[5,1,3,7,2,6,4]=>[4,6,2,7,3,1,5]=>[[1,2,4],[3,5,7],[6]]=>11 [5,7,1,3,4,2,6]=>[1,7,3,5,4,2,6]=>[6,2,4,5,3,7,1]=>[[1,3,4,6],[2],[5],[7]]=>11 [5,7,1,3,4,6,2]=>[1,5,3,7,4,6,2]=>[2,6,4,7,3,5,1]=>[[1,2,4],[3,6],[5],[7]]=>12 [5,7,1,3,6,2,4]=>[5,7,1,3,2,6,4]=>[4,6,2,3,1,7,5]=>[[1,2,6],[3,4,7],[5]]=>12 [5,7,1,3,6,4,2]=>[5,7,1,3,6,4,2]=>[2,4,6,3,1,7,5]=>[[1,2,3,6],[4,7],[5]]=>13 [5,7,1,4,2,3,6]=>[1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1]=>[[1,3,4,6],[2],[5],[7]]=>11 [5,7,1,4,2,6,3]=>[1,5,2,7,4,6,3]=>[3,6,4,7,2,5,1]=>[[1,2,4],[3,6],[5],[7]]=>12 [5,7,1,4,3,2,6]=>[7,5,1,4,3,2,6]=>[6,2,3,4,1,5,7]=>[[1,3,4,6,7],[2],[5]]=>12 [5,7,1,4,3,6,2]=>[1,5,7,4,3,6,2]=>[2,6,3,4,7,5,1]=>[[1,2,4,5],[3,6],[7]]=>13 [5,7,1,4,6,2,3]=>[1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1]=>[[1,2,5],[3,4,6],[7]]=>13 [5,7,1,4,6,3,2]=>[7,5,1,4,6,3,2]=>[2,3,6,4,1,5,7]=>[[1,2,3,6,7],[4],[5]]=>14 [5,7,1,6,2,3,4]=>[1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1]=>[[1,2,4],[3,6],[5],[7]]=>12 [5,7,1,6,2,4,3]=>[5,7,1,2,6,4,3]=>[3,4,6,2,1,7,5]=>[[1,2,3,6],[4,7],[5]]=>13 [5,7,1,6,3,2,4]=>[1,5,7,3,2,6,4]=>[4,6,2,3,7,5,1]=>[[1,2,5],[3,4,6],[7]]=>13 [5,7,1,6,3,4,2]=>[7,5,1,3,6,4,2]=>[2,4,6,3,1,5,7]=>[[1,2,3,7],[4,6],[5]]=>14 [5,7,1,6,4,2,3]=>[7,5,1,2,6,4,3]=>[3,4,6,2,1,5,7]=>[[1,2,3,7],[4,6],[5]]=>14 [5,7,1,6,4,3,2]=>[7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7]=>[[1,2,3,5,7],[4,6]]=>15 [5,7,2,1,3,4,6]=>[2,1,3,7,5,4,6]=>[6,4,5,7,3,1,2]=>[[1,3,4],[2,7],[5],[6]]=>10 [5,7,2,1,3,6,4]=>[2,1,5,7,3,6,4]=>[4,6,3,7,5,1,2]=>[[1,2,4],[3,5],[6,7]]=>11 [5,7,2,1,4,3,6]=>[2,7,1,5,4,3,6]=>[6,3,4,5,1,7,2]=>[[1,3,4,6],[2,7],[5]]=>11 [5,7,2,1,4,6,3]=>[2,5,1,7,4,6,3]=>[3,6,4,7,1,5,2]=>[[1,2,4],[3,6],[5,7]]=>12 [5,7,2,1,6,3,4]=>[2,5,1,7,3,6,4]=>[4,6,3,7,1,5,2]=>[[1,2,4],[3,6],[5,7]]=>12 [5,7,2,1,6,4,3]=>[2,7,1,5,6,4,3]=>[3,4,6,5,1,7,2]=>[[1,2,3,6],[4,7],[5]]=>13 [5,7,2,3,1,4,6]=>[2,3,1,7,5,4,6]=>[6,4,5,7,1,3,2]=>[[1,3,4],[2,6],[5],[7]]=>11 [5,7,2,3,1,6,4]=>[2,5,3,7,1,6,4]=>[4,6,1,7,3,5,2]=>[[1,2,4],[3,5,6],[7]]=>12 [5,7,2,3,4,1,6]=>[2,3,7,5,4,1,6]=>[6,1,4,5,7,3,2]=>[[1,3,4,5],[2],[6],[7]]=>12 [5,7,2,3,4,6,1]=>[2,3,7,5,4,6,1]=>[1,6,4,5,7,3,2]=>[[1,2,4,5],[3],[6],[7]]=>13 [5,7,2,3,6,1,4]=>[2,5,7,3,1,6,4]=>[4,6,1,3,7,5,2]=>[[1,2,5],[3,4,6],[7]]=>13 [5,7,2,3,6,4,1]=>[2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2]=>[[1,2,3,5],[4,6],[7]]=>14 [5,7,2,4,1,3,6]=>[7,2,1,5,4,3,6]=>[6,3,4,5,1,2,7]=>[[1,3,4,7],[2,6],[5]]=>12 [5,7,2,4,1,6,3]=>[5,2,1,7,4,6,3]=>[3,6,4,7,1,2,5]=>[[1,2,4],[3,6,7],[5]]=>13 [5,7,2,4,3,1,6]=>[7,2,5,4,3,1,6]=>[6,1,3,4,5,2,7]=>[[1,3,4,5,7],[2],[6]]=>13 [5,7,2,4,3,6,1]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[[1,2,4,5,7],[3],[6]]=>14 [5,7,2,4,6,1,3]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>14 [5,7,2,4,6,3,1]=>[5,2,7,4,6,3,1]=>[1,3,6,4,7,2,5]=>[[1,2,3,5],[4,7],[6]]=>15 [5,7,2,6,1,3,4]=>[5,2,1,7,3,6,4]=>[4,6,3,7,1,2,5]=>[[1,2,4],[3,6,7],[5]]=>13 [5,7,2,6,1,4,3]=>[2,5,7,1,6,4,3]=>[3,4,6,1,7,5,2]=>[[1,2,3,5],[4,6],[7]]=>14 [5,7,2,6,3,1,4]=>[5,2,7,3,1,6,4]=>[4,6,1,3,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>14 [5,7,2,6,3,4,1]=>[5,2,7,3,6,4,1]=>[1,4,6,3,7,2,5]=>[[1,2,3,5],[4,7],[6]]=>15 [5,7,2,6,4,1,3]=>[7,2,5,1,6,4,3]=>[3,4,6,1,5,2,7]=>[[1,2,3,7],[4,5],[6]]=>15 [5,7,2,6,4,3,1]=>[7,2,5,6,4,3,1]=>[1,3,4,6,5,2,7]=>[[1,2,3,4,7],[5],[6]]=>16 [5,7,3,1,2,4,6]=>[1,3,2,7,5,4,6]=>[6,4,5,7,2,3,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [5,7,3,1,2,6,4]=>[1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1]=>[[1,2,4],[3,5,6],[7]]=>12 [5,7,3,1,4,2,6]=>[1,3,7,5,4,2,6]=>[6,2,4,5,7,3,1]=>[[1,3,4,5],[2],[6],[7]]=>12 [5,7,3,1,4,6,2]=>[1,3,7,5,4,6,2]=>[2,6,4,5,7,3,1]=>[[1,2,4,5],[3],[6],[7]]=>13 [5,7,3,1,6,2,4]=>[5,3,1,7,2,6,4]=>[4,6,2,7,1,3,5]=>[[1,2,4],[3,6,7],[5]]=>13 [5,7,3,1,6,4,2]=>[1,5,7,3,6,4,2]=>[2,4,6,3,7,5,1]=>[[1,2,3,5],[4,6],[7]]=>14 [5,7,3,2,1,4,6]=>[3,2,1,7,5,4,6]=>[6,4,5,7,1,2,3]=>[[1,3,4],[2,6,7],[5]]=>12 [5,7,3,2,1,6,4]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[[1,2,4,7],[3,5,6]]=>13 [5,7,3,2,4,1,6]=>[3,2,7,5,4,1,6]=>[6,1,4,5,7,2,3]=>[[1,3,4,5],[2,7],[6]]=>13 [5,7,3,2,4,6,1]=>[3,2,7,5,4,6,1]=>[1,6,4,5,7,2,3]=>[[1,2,4,5],[3,7],[6]]=>14 [5,7,3,2,6,1,4]=>[5,3,7,2,1,6,4]=>[4,6,1,2,7,3,5]=>[[1,2,5,7],[3,4,6]]=>14 [5,7,3,2,6,4,1]=>[5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5]=>[[1,2,3,5],[4,6,7]]=>15 [5,7,3,4,1,2,6]=>[3,1,7,5,4,2,6]=>[6,2,4,5,7,1,3]=>[[1,3,4,5],[2,7],[6]]=>13 [5,7,3,4,1,6,2]=>[3,1,7,5,4,6,2]=>[2,6,4,5,7,1,3]=>[[1,2,4,5],[3,7],[6]]=>14 [5,7,3,4,2,1,6]=>[3,7,5,4,2,1,6]=>[6,1,2,4,5,7,3]=>[[1,3,4,5,6],[2],[7]]=>14 [5,7,3,4,2,6,1]=>[3,7,5,4,2,6,1]=>[1,6,2,4,5,7,3]=>[[1,2,4,5,6],[3],[7]]=>15 [5,7,3,4,6,1,2]=>[3,7,5,4,1,6,2]=>[2,6,1,4,5,7,3]=>[[1,2,5,6],[3,4],[7]]=>15 [5,7,3,4,6,2,1]=>[3,7,5,4,6,2,1]=>[1,2,6,4,5,7,3]=>[[1,2,3,5,6],[4],[7]]=>16 [5,7,3,6,1,2,4]=>[5,1,7,3,2,6,4]=>[4,6,2,3,7,1,5]=>[[1,2,5],[3,4,7],[6]]=>14 [5,7,3,6,1,4,2]=>[5,3,7,1,6,4,2]=>[2,4,6,1,7,3,5]=>[[1,2,3,5],[4,6,7]]=>15 [5,7,3,6,2,1,4]=>[5,7,3,2,1,6,4]=>[4,6,1,2,3,7,5]=>[[1,2,5,6],[3,4,7]]=>15 [5,7,3,6,2,4,1]=>[5,7,3,2,6,4,1]=>[1,4,6,2,3,7,5]=>[[1,2,3,6],[4,5,7]]=>16 [5,7,3,6,4,1,2]=>[5,7,3,1,6,4,2]=>[2,4,6,1,3,7,5]=>[[1,2,3,6],[4,5,7]]=>16 [5,7,3,6,4,2,1]=>[5,7,3,6,4,2,1]=>[1,2,4,6,3,7,5]=>[[1,2,3,4,6],[5,7]]=>17 [5,7,4,1,2,3,6]=>[1,2,7,5,4,3,6]=>[6,3,4,5,7,2,1]=>[[1,3,4,5],[2],[6],[7]]=>12 [5,7,4,1,2,6,3]=>[1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]=>[[1,2,4,5],[3],[6],[7]]=>13 [5,7,4,1,3,2,6]=>[7,1,5,4,3,2,6]=>[6,2,3,4,5,1,7]=>[[1,3,4,5,7],[2],[6]]=>13 [5,7,4,1,3,6,2]=>[7,1,5,4,3,6,2]=>[2,6,3,4,5,1,7]=>[[1,2,4,5,7],[3],[6]]=>14 [5,7,4,1,6,2,3]=>[7,1,5,4,2,6,3]=>[3,6,2,4,5,1,7]=>[[1,2,5,7],[3,4],[6]]=>14 [5,7,4,1,6,3,2]=>[5,1,7,4,6,3,2]=>[2,3,6,4,7,1,5]=>[[1,2,3,5],[4,7],[6]]=>15 [5,7,4,2,1,3,6]=>[2,1,7,5,4,3,6]=>[6,3,4,5,7,1,2]=>[[1,3,4,5],[2,7],[6]]=>13 [5,7,4,2,1,6,3]=>[2,1,7,5,4,6,3]=>[3,6,4,5,7,1,2]=>[[1,2,4,5],[3,7],[6]]=>14 [5,7,4,2,3,1,6]=>[2,7,5,4,3,1,6]=>[6,1,3,4,5,7,2]=>[[1,3,4,5,6],[2],[7]]=>14 [5,7,4,2,3,6,1]=>[2,7,5,4,3,6,1]=>[1,6,3,4,5,7,2]=>[[1,2,4,5,6],[3],[7]]=>15 [5,7,4,2,6,1,3]=>[2,7,5,4,1,6,3]=>[3,6,1,4,5,7,2]=>[[1,2,5,6],[3,4],[7]]=>15 [5,7,4,2,6,3,1]=>[2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2]=>[[1,2,3,5,6],[4],[7]]=>16 [5,7,4,3,1,2,6]=>[1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1]=>[[1,3,4,5,6],[2],[7]]=>14 [5,7,4,3,1,6,2]=>[1,7,5,4,3,6,2]=>[2,6,3,4,5,7,1]=>[[1,2,4,5,6],[3],[7]]=>15 [5,7,4,3,2,1,6]=>[7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7]=>[[1,3,4,5,6,7],[2]]=>15 [5,7,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[[1,2,4,5,6,7],[3]]=>16 [5,7,4,3,6,1,2]=>[7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7]=>[[1,2,5,6,7],[3,4]]=>16 [5,7,4,3,6,2,1]=>[7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7]=>[[1,2,3,5,6,7],[4]]=>17 [5,7,4,6,1,2,3]=>[1,7,5,4,2,6,3]=>[3,6,2,4,5,7,1]=>[[1,2,5,6],[3,4],[7]]=>15 [5,7,4,6,1,3,2]=>[1,7,5,4,6,3,2]=>[2,3,6,4,5,7,1]=>[[1,2,3,5,6],[4],[7]]=>16 [5,7,4,6,2,1,3]=>[7,5,4,2,1,6,3]=>[3,6,1,2,4,5,7]=>[[1,2,5,6,7],[3,4]]=>16 [5,7,4,6,2,3,1]=>[7,5,4,2,6,3,1]=>[1,3,6,2,4,5,7]=>[[1,2,3,6,7],[4,5]]=>17 [5,7,4,6,3,1,2]=>[7,5,4,1,6,3,2]=>[2,3,6,1,4,5,7]=>[[1,2,3,6,7],[4,5]]=>17 [5,7,4,6,3,2,1]=>[7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7]=>[[1,2,3,4,6,7],[5]]=>18 [5,7,6,1,2,3,4]=>[1,2,7,5,3,6,4]=>[4,6,3,5,7,2,1]=>[[1,2,5],[3,4],[6],[7]]=>13 [5,7,6,1,2,4,3]=>[1,5,7,2,6,4,3]=>[3,4,6,2,7,5,1]=>[[1,2,3,5],[4,6],[7]]=>14 [5,7,6,1,3,2,4]=>[7,1,5,3,2,6,4]=>[4,6,2,3,5,1,7]=>[[1,2,5,7],[3,4],[6]]=>14 [5,7,6,1,3,4,2]=>[5,1,7,3,6,4,2]=>[2,4,6,3,7,1,5]=>[[1,2,3,5],[4,7],[6]]=>15 [5,7,6,1,4,2,3]=>[5,1,7,2,6,4,3]=>[3,4,6,2,7,1,5]=>[[1,2,3,5],[4,7],[6]]=>15 [5,7,6,1,4,3,2]=>[7,1,5,6,4,3,2]=>[2,3,4,6,5,1,7]=>[[1,2,3,4,7],[5],[6]]=>16 [5,7,6,2,1,3,4]=>[2,1,7,5,3,6,4]=>[4,6,3,5,7,1,2]=>[[1,2,5],[3,4],[6,7]]=>14 [5,7,6,2,1,4,3]=>[5,2,7,1,6,4,3]=>[3,4,6,1,7,2,5]=>[[1,2,3,5],[4,6,7]]=>15 [5,7,6,2,3,1,4]=>[2,7,5,3,1,6,4]=>[4,6,1,3,5,7,2]=>[[1,2,5,6],[3,4],[7]]=>15 [5,7,6,2,3,4,1]=>[2,7,5,3,6,4,1]=>[1,4,6,3,5,7,2]=>[[1,2,3,6],[4,5],[7]]=>16 [5,7,6,2,4,1,3]=>[5,7,2,1,6,4,3]=>[3,4,6,1,2,7,5]=>[[1,2,3,6],[4,5,7]]=>16 [5,7,6,2,4,3,1]=>[5,7,2,6,4,3,1]=>[1,3,4,6,2,7,5]=>[[1,2,3,4,6],[5,7]]=>17 [5,7,6,3,1,2,4]=>[1,7,5,3,2,6,4]=>[4,6,2,3,5,7,1]=>[[1,2,5,6],[3,4],[7]]=>15 [5,7,6,3,1,4,2]=>[1,7,5,3,6,4,2]=>[2,4,6,3,5,7,1]=>[[1,2,3,6],[4,5],[7]]=>16 [5,7,6,3,2,1,4]=>[7,5,3,2,1,6,4]=>[4,6,1,2,3,5,7]=>[[1,2,5,6,7],[3,4]]=>16 [5,7,6,3,2,4,1]=>[7,5,3,2,6,4,1]=>[1,4,6,2,3,5,7]=>[[1,2,3,6,7],[4,5]]=>17 [5,7,6,3,4,1,2]=>[7,5,3,1,6,4,2]=>[2,4,6,1,3,5,7]=>[[1,2,3,7],[4,5,6]]=>17 [5,7,6,3,4,2,1]=>[7,5,3,6,4,2,1]=>[1,2,4,6,3,5,7]=>[[1,2,3,4,7],[5,6]]=>18 [5,7,6,4,1,2,3]=>[1,7,5,2,6,4,3]=>[3,4,6,2,5,7,1]=>[[1,2,3,6],[4,5],[7]]=>16 [5,7,6,4,1,3,2]=>[5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5]=>[[1,2,3,4,6],[5,7]]=>17 [5,7,6,4,2,1,3]=>[7,5,2,1,6,4,3]=>[3,4,6,1,2,5,7]=>[[1,2,3,7],[4,5,6]]=>17 [5,7,6,4,2,3,1]=>[7,5,2,6,4,3,1]=>[1,3,4,6,2,5,7]=>[[1,2,3,4,7],[5,6]]=>18 [5,7,6,4,3,1,2]=>[7,5,1,6,4,3,2]=>[2,3,4,6,1,5,7]=>[[1,2,3,4,7],[5,6]]=>18 [5,7,6,4,3,2,1]=>[7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7]=>[[1,2,3,4,5,7],[6]]=>19 [6,1,2,3,4,5,7]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7]]=>5 [6,1,2,3,4,7,5]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7]]=>6 [6,1,2,3,5,4,7]=>[6,1,2,3,5,4,7]=>[7,4,5,3,2,1,6]=>[[1,3,7],[2],[4],[5],[6]]=>6 [6,1,2,3,5,7,4]=>[6,1,2,3,5,7,4]=>[4,7,5,3,2,1,6]=>[[1,2,7],[3],[4],[5],[6]]=>7 [6,1,2,3,7,4,5]=>[6,1,2,3,4,7,5]=>[5,7,4,3,2,1,6]=>[[1,2],[3,7],[4],[5],[6]]=>7 [6,1,2,3,7,5,4]=>[6,7,1,2,3,5,4]=>[4,5,3,2,1,7,6]=>[[1,2,6],[3,7],[4],[5]]=>8 [6,1,2,4,3,5,7]=>[4,1,2,3,6,5,7]=>[7,5,6,3,2,1,4]=>[[1,3],[2,7],[4],[5],[6]]=>6 [6,1,2,4,3,7,5]=>[4,1,2,3,6,7,5]=>[5,7,6,3,2,1,4]=>[[1,2],[3,7],[4],[5],[6]]=>7 [6,1,2,4,5,3,7]=>[1,6,2,4,5,3,7]=>[7,3,5,4,2,6,1]=>[[1,3,6],[2],[4],[5],[7]]=>7 [6,1,2,4,5,7,3]=>[1,6,2,4,5,7,3]=>[3,7,5,4,2,6,1]=>[[1,2,6],[3],[4],[5],[7]]=>8 [6,1,2,4,7,3,5]=>[4,6,1,2,3,7,5]=>[5,7,3,2,1,6,4]=>[[1,2],[3,6],[4,7],[5]]=>8 [6,1,2,4,7,5,3]=>[1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1]=>[[1,2,5],[3,6],[4],[7]]=>9 [6,1,2,5,3,4,7]=>[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>[[1,3,6],[2],[4],[5],[7]]=>7 [6,1,2,5,3,7,4]=>[1,6,2,3,5,7,4]=>[4,7,5,3,2,6,1]=>[[1,2,6],[3],[4],[5],[7]]=>8 [6,1,2,5,4,3,7]=>[6,5,1,2,4,3,7]=>[7,3,4,2,1,5,6]=>[[1,3,6,7],[2],[4],[5]]=>8 [6,1,2,5,4,7,3]=>[6,5,1,2,4,7,3]=>[3,7,4,2,1,5,6]=>[[1,2,6,7],[3],[4],[5]]=>9 [6,1,2,5,7,3,4]=>[6,5,1,2,3,7,4]=>[4,7,3,2,1,5,6]=>[[1,2,7],[3,6],[4],[5]]=>9 [6,1,2,5,7,4,3]=>[6,5,7,1,2,4,3]=>[3,4,2,1,7,5,6]=>[[1,2,5,7],[3,6],[4]]=>10 [6,1,2,7,3,4,5]=>[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>[[1,2],[3,6],[4],[5],[7]]=>8 [6,1,2,7,3,5,4]=>[1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1]=>[[1,2,5],[3,6],[4],[7]]=>9 [6,1,2,7,4,3,5]=>[6,4,1,2,3,7,5]=>[5,7,3,2,1,4,6]=>[[1,2,7],[3,6],[4],[5]]=>9 [6,1,2,7,4,5,3]=>[6,1,7,2,4,5,3]=>[3,5,4,2,7,1,6]=>[[1,2,5],[3,7],[4],[6]]=>10 [6,1,2,7,5,3,4]=>[6,1,7,2,3,5,4]=>[4,5,3,2,7,1,6]=>[[1,2,5],[3,7],[4],[6]]=>10 [6,1,2,7,5,4,3]=>[6,7,5,1,2,4,3]=>[3,4,2,1,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>11 [6,1,3,2,4,5,7]=>[3,1,2,4,6,5,7]=>[7,5,6,4,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>6 [6,1,3,2,4,7,5]=>[3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3]=>[[1,2],[3,7],[4],[5],[6]]=>7 [6,1,3,2,5,4,7]=>[3,6,1,2,5,4,7]=>[7,4,5,2,1,6,3]=>[[1,3,6],[2,7],[4],[5]]=>7 [6,1,3,2,5,7,4]=>[3,6,1,2,5,7,4]=>[4,7,5,2,1,6,3]=>[[1,2,6],[3,7],[4],[5]]=>8 [6,1,3,2,7,4,5]=>[3,6,1,2,4,7,5]=>[5,7,4,2,1,6,3]=>[[1,2],[3,6],[4,7],[5]]=>8 [6,1,3,2,7,5,4]=>[3,6,7,1,2,5,4]=>[4,5,2,1,7,6,3]=>[[1,2,5],[3,6],[4,7]]=>9 [6,1,3,4,2,5,7]=>[3,4,1,2,6,5,7]=>[7,5,6,2,1,4,3]=>[[1,3],[2,6],[4,7],[5]]=>7 [6,1,3,4,2,7,5]=>[3,4,1,2,6,7,5]=>[5,7,6,2,1,4,3]=>[[1,2],[3,6],[4,7],[5]]=>8 [6,1,3,4,5,2,7]=>[1,3,6,4,5,2,7]=>[7,2,5,4,6,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>8 [6,1,3,4,5,7,2]=>[1,3,6,4,5,7,2]=>[2,7,5,4,6,3,1]=>[[1,2,5],[3],[4],[6],[7]]=>9 [6,1,3,4,7,2,5]=>[3,4,6,1,2,7,5]=>[5,7,2,1,6,4,3]=>[[1,2],[3,5],[4,6],[7]]=>9 [6,1,3,4,7,5,2]=>[1,3,6,7,4,5,2]=>[2,5,4,7,6,3,1]=>[[1,2,4],[3,5],[6],[7]]=>10 [6,1,3,5,2,4,7]=>[6,3,1,2,5,4,7]=>[7,4,5,2,1,3,6]=>[[1,3,7],[2,6],[4],[5]]=>8 [6,1,3,5,2,7,4]=>[6,3,1,2,5,7,4]=>[4,7,5,2,1,3,6]=>[[1,2,7],[3,6],[4],[5]]=>9 [6,1,3,5,4,2,7]=>[6,1,5,3,4,2,7]=>[7,2,4,3,5,1,6]=>[[1,3,5,7],[2],[4],[6]]=>9 [6,1,3,5,4,7,2]=>[6,1,5,3,4,7,2]=>[2,7,4,3,5,1,6]=>[[1,2,5,7],[3],[4],[6]]=>10 [6,1,3,5,7,2,4]=>[6,3,5,1,2,7,4]=>[4,7,2,1,5,3,6]=>[[1,2,7],[3,5],[4,6]]=>10 [6,1,3,5,7,4,2]=>[6,1,5,7,3,4,2]=>[2,4,3,7,5,1,6]=>[[1,2,4,7],[3,5],[6]]=>11 [6,1,3,7,2,4,5]=>[6,3,1,2,4,7,5]=>[5,7,4,2,1,3,6]=>[[1,2,7],[3,6],[4],[5]]=>9 [6,1,3,7,2,5,4]=>[6,3,7,1,2,5,4]=>[4,5,2,1,7,3,6]=>[[1,2,5],[3,6,7],[4]]=>10 [6,1,3,7,4,2,5]=>[6,3,4,1,2,7,5]=>[5,7,2,1,4,3,6]=>[[1,2,7],[3,5],[4,6]]=>10 [6,1,3,7,4,5,2]=>[6,1,3,7,4,5,2]=>[2,5,4,7,3,1,6]=>[[1,2,4],[3,7],[5],[6]]=>11 [6,1,3,7,5,2,4]=>[6,7,3,1,2,5,4]=>[4,5,2,1,3,7,6]=>[[1,2,6],[3,5,7],[4]]=>11 [6,1,3,7,5,4,2]=>[6,7,1,5,3,4,2]=>[2,4,3,5,1,7,6]=>[[1,2,4,6],[3,7],[5]]=>12 [6,1,4,2,3,5,7]=>[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>[[1,3],[2,6],[4],[5],[7]]=>7 [6,1,4,2,3,7,5]=>[1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1]=>[[1,2],[3,6],[4],[5],[7]]=>8 [6,1,4,2,5,3,7]=>[1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>8 [6,1,4,2,5,7,3]=>[1,2,6,4,5,7,3]=>[3,7,5,4,6,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>9 [6,1,4,2,7,3,5]=>[1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1]=>[[1,2],[3,5],[4,6],[7]]=>9 [6,1,4,2,7,5,3]=>[1,2,6,7,4,5,3]=>[3,5,4,7,6,2,1]=>[[1,2,4],[3,5],[6],[7]]=>10 [6,1,4,3,2,5,7]=>[4,3,1,2,6,5,7]=>[7,5,6,2,1,3,4]=>[[1,3,7],[2,6],[4],[5]]=>8 [6,1,4,3,2,7,5]=>[4,3,1,2,6,7,5]=>[5,7,6,2,1,3,4]=>[[1,2,7],[3,6],[4],[5]]=>9 [6,1,4,3,5,2,7]=>[6,1,4,3,5,2,7]=>[7,2,5,3,4,1,6]=>[[1,3,5,7],[2],[4],[6]]=>9 [6,1,4,3,5,7,2]=>[6,1,4,3,5,7,2]=>[2,7,5,3,4,1,6]=>[[1,2,5,7],[3],[4],[6]]=>10 [6,1,4,3,7,2,5]=>[4,3,6,1,2,7,5]=>[5,7,2,1,6,3,4]=>[[1,2,7],[3,5],[4,6]]=>10 [6,1,4,3,7,5,2]=>[6,1,4,7,3,5,2]=>[2,5,3,7,4,1,6]=>[[1,2,4,7],[3,5],[6]]=>11 [6,1,4,5,2,3,7]=>[6,1,4,2,5,3,7]=>[7,3,5,2,4,1,6]=>[[1,3,7],[2,5],[4],[6]]=>9 [6,1,4,5,2,7,3]=>[6,1,4,2,5,7,3]=>[3,7,5,2,4,1,6]=>[[1,2,7],[3,5],[4],[6]]=>10 [6,1,4,5,3,2,7]=>[4,6,5,1,3,2,7]=>[7,2,3,1,5,6,4]=>[[1,3,5,6],[2,7],[4]]=>10 [6,1,4,5,3,7,2]=>[4,6,5,1,3,7,2]=>[2,7,3,1,5,6,4]=>[[1,2,5,6],[3,7],[4]]=>11 [6,1,4,5,7,2,3]=>[4,6,5,1,2,7,3]=>[3,7,2,1,5,6,4]=>[[1,2,6],[3,5],[4,7]]=>11 [6,1,4,5,7,3,2]=>[4,6,5,7,1,3,2]=>[2,3,1,7,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>12 [6,1,4,7,2,3,5]=>[4,1,6,2,3,7,5]=>[5,7,3,2,6,1,4]=>[[1,2],[3,5],[4,7],[6]]=>10 [6,1,4,7,2,5,3]=>[6,1,4,7,2,5,3]=>[3,5,2,7,4,1,6]=>[[1,2,4],[3,5,7],[6]]=>11 [6,1,4,7,3,2,5]=>[4,6,3,1,2,7,5]=>[5,7,2,1,3,6,4]=>[[1,2,6],[3,5],[4,7]]=>11 [6,1,4,7,3,5,2]=>[6,7,1,4,3,5,2]=>[2,5,3,4,1,7,6]=>[[1,2,4,6],[3,7],[5]]=>12 [6,1,4,7,5,2,3]=>[6,7,1,4,2,5,3]=>[3,5,2,4,1,7,6]=>[[1,2,6],[3,4,7],[5]]=>12 [6,1,4,7,5,3,2]=>[4,6,7,5,1,3,2]=>[2,3,1,5,7,6,4]=>[[1,2,4,5],[3,6],[7]]=>13 [6,1,5,2,3,4,7]=>[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>8 [6,1,5,2,3,7,4]=>[1,2,6,3,5,7,4]=>[4,7,5,3,6,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>9 [6,1,5,2,4,3,7]=>[6,1,5,2,4,3,7]=>[7,3,4,2,5,1,6]=>[[1,3,5,7],[2],[4],[6]]=>9 [6,1,5,2,4,7,3]=>[6,1,5,2,4,7,3]=>[3,7,4,2,5,1,6]=>[[1,2,5,7],[3],[4],[6]]=>10 [6,1,5,2,7,3,4]=>[6,1,5,2,3,7,4]=>[4,7,3,2,5,1,6]=>[[1,2,7],[3,5],[4],[6]]=>10 [6,1,5,2,7,4,3]=>[6,1,5,7,2,4,3]=>[3,4,2,7,5,1,6]=>[[1,2,4,7],[3,5],[6]]=>11 [6,1,5,3,2,4,7]=>[6,1,3,2,5,4,7]=>[7,4,5,2,3,1,6]=>[[1,3,7],[2,5],[4],[6]]=>9 [6,1,5,3,2,7,4]=>[6,1,3,2,5,7,4]=>[4,7,5,2,3,1,6]=>[[1,2,7],[3,5],[4],[6]]=>10 [6,1,5,3,4,2,7]=>[1,6,5,3,4,2,7]=>[7,2,4,3,5,6,1]=>[[1,3,5,6],[2],[4],[7]]=>10 [6,1,5,3,4,7,2]=>[1,6,5,3,4,7,2]=>[2,7,4,3,5,6,1]=>[[1,2,5,6],[3],[4],[7]]=>11 [6,1,5,3,7,2,4]=>[3,6,5,1,2,7,4]=>[4,7,2,1,5,6,3]=>[[1,2,6],[3,5],[4,7]]=>11 [6,1,5,3,7,4,2]=>[1,6,5,7,3,4,2]=>[2,4,3,7,5,6,1]=>[[1,2,4,6],[3,5],[7]]=>12 [6,1,5,4,2,3,7]=>[1,6,5,2,4,3,7]=>[7,3,4,2,5,6,1]=>[[1,3,5,6],[2],[4],[7]]=>10 [6,1,5,4,2,7,3]=>[1,6,5,2,4,7,3]=>[3,7,4,2,5,6,1]=>[[1,2,5,6],[3],[4],[7]]=>11 [6,1,5,4,3,2,7]=>[6,5,4,1,3,2,7]=>[7,2,3,1,4,5,6]=>[[1,3,5,6,7],[2],[4]]=>11 [6,1,5,4,3,7,2]=>[6,5,4,1,3,7,2]=>[2,7,3,1,4,5,6]=>[[1,2,5,6,7],[3],[4]]=>12 [6,1,5,4,7,2,3]=>[6,5,4,1,2,7,3]=>[3,7,2,1,4,5,6]=>[[1,2,6,7],[3,5],[4]]=>12 [6,1,5,4,7,3,2]=>[6,5,4,7,1,3,2]=>[2,3,1,7,4,5,6]=>[[1,2,4,6,7],[3,5]]=>13 [6,1,5,7,2,3,4]=>[1,6,5,2,3,7,4]=>[4,7,3,2,5,6,1]=>[[1,2,6],[3,5],[4],[7]]=>11 [6,1,5,7,2,4,3]=>[1,6,5,7,2,4,3]=>[3,4,2,7,5,6,1]=>[[1,2,4,6],[3,5],[7]]=>12 [6,1,5,7,3,2,4]=>[6,5,3,1,2,7,4]=>[4,7,2,1,3,5,6]=>[[1,2,6,7],[3,5],[4]]=>12 [6,1,5,7,3,4,2]=>[6,5,1,7,3,4,2]=>[2,4,3,7,1,5,6]=>[[1,2,4,7],[3,6],[5]]=>13 [6,1,5,7,4,2,3]=>[6,5,1,7,2,4,3]=>[3,4,2,7,1,5,6]=>[[1,2,4,7],[3,6],[5]]=>13 [6,1,5,7,4,3,2]=>[6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6]=>[[1,2,4,5,7],[3,6]]=>14 [6,1,7,2,3,4,5]=>[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>9 [6,1,7,2,3,5,4]=>[1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1]=>[[1,2,4],[3,5],[6],[7]]=>10 [6,1,7,2,4,3,5]=>[6,1,4,2,3,7,5]=>[5,7,3,2,4,1,6]=>[[1,2,7],[3,5],[4],[6]]=>10 [6,1,7,2,4,5,3]=>[6,1,2,7,4,5,3]=>[3,5,4,7,2,1,6]=>[[1,2,4],[3,7],[5],[6]]=>11 [6,1,7,2,5,3,4]=>[6,1,2,7,3,5,4]=>[4,5,3,7,2,1,6]=>[[1,2,4],[3,7],[5],[6]]=>11 [6,1,7,2,5,4,3]=>[6,7,1,5,2,4,3]=>[3,4,2,5,1,7,6]=>[[1,2,4,6],[3,7],[5]]=>12 [6,1,7,3,2,4,5]=>[6,1,3,2,4,7,5]=>[5,7,4,2,3,1,6]=>[[1,2,7],[3,5],[4],[6]]=>10 [6,1,7,3,2,5,4]=>[6,1,3,7,2,5,4]=>[4,5,2,7,3,1,6]=>[[1,2,4],[3,5,7],[6]]=>11 [6,1,7,3,4,2,5]=>[3,6,4,1,2,7,5]=>[5,7,2,1,4,6,3]=>[[1,2,6],[3,5],[4,7]]=>11 [6,1,7,3,4,5,2]=>[1,6,3,7,4,5,2]=>[2,5,4,7,3,6,1]=>[[1,2,4],[3,6],[5],[7]]=>12 [6,1,7,3,5,2,4]=>[6,7,1,3,2,5,4]=>[4,5,2,3,1,7,6]=>[[1,2,6],[3,4,7],[5]]=>12 [6,1,7,3,5,4,2]=>[1,6,7,5,3,4,2]=>[2,4,3,5,7,6,1]=>[[1,2,4,5],[3,6],[7]]=>13 [6,1,7,4,2,3,5]=>[1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1]=>[[1,2,6],[3,5],[4],[7]]=>11 [6,1,7,4,2,5,3]=>[1,6,2,7,4,5,3]=>[3,5,4,7,2,6,1]=>[[1,2,4],[3,6],[5],[7]]=>12 [6,1,7,4,3,2,5]=>[6,4,3,1,2,7,5]=>[5,7,2,1,3,4,6]=>[[1,2,6,7],[3,5],[4]]=>12 [6,1,7,4,3,5,2]=>[1,6,7,4,3,5,2]=>[2,5,3,4,7,6,1]=>[[1,2,4,5],[3,6],[7]]=>13 [6,1,7,4,5,2,3]=>[1,6,7,4,2,5,3]=>[3,5,2,4,7,6,1]=>[[1,2,5],[3,4,6],[7]]=>13 [6,1,7,4,5,3,2]=>[6,4,7,5,1,3,2]=>[2,3,1,5,7,4,6]=>[[1,2,4,5],[3,6,7]]=>14 [6,1,7,5,2,3,4]=>[1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1]=>[[1,2,4],[3,6],[5],[7]]=>12 [6,1,7,5,2,4,3]=>[1,6,7,5,2,4,3]=>[3,4,2,5,7,6,1]=>[[1,2,4,5],[3,6],[7]]=>13 [6,1,7,5,3,2,4]=>[1,6,7,3,2,5,4]=>[4,5,2,3,7,6,1]=>[[1,2,5],[3,4,6],[7]]=>13 [6,1,7,5,3,4,2]=>[6,1,7,5,3,4,2]=>[2,4,3,5,7,1,6]=>[[1,2,4,5],[3,7],[6]]=>14 [6,1,7,5,4,2,3]=>[6,1,7,5,2,4,3]=>[3,4,2,5,7,1,6]=>[[1,2,4,5],[3,7],[6]]=>14 [6,1,7,5,4,3,2]=>[6,7,5,4,1,3,2]=>[2,3,1,4,5,7,6]=>[[1,2,4,5,6],[3,7]]=>15 [6,2,1,3,4,5,7]=>[2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2]=>[[1,3],[2,7],[4],[5],[6]]=>6 [6,2,1,3,4,7,5]=>[2,1,3,4,6,7,5]=>[5,7,6,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>7 [6,2,1,3,5,4,7]=>[2,6,1,3,5,4,7]=>[7,4,5,3,1,6,2]=>[[1,3,6],[2,7],[4],[5]]=>7 [6,2,1,3,5,7,4]=>[2,6,1,3,5,7,4]=>[4,7,5,3,1,6,2]=>[[1,2,6],[3,7],[4],[5]]=>8 [6,2,1,3,7,4,5]=>[2,6,1,3,4,7,5]=>[5,7,4,3,1,6,2]=>[[1,2],[3,6],[4,7],[5]]=>8 [6,2,1,3,7,5,4]=>[2,6,7,1,3,5,4]=>[4,5,3,1,7,6,2]=>[[1,2,5],[3,6],[4,7]]=>9 [6,2,1,4,3,5,7]=>[2,4,1,3,6,5,7]=>[7,5,6,3,1,4,2]=>[[1,3],[2,6],[4,7],[5]]=>7 [6,2,1,4,3,7,5]=>[2,4,1,3,6,7,5]=>[5,7,6,3,1,4,2]=>[[1,2],[3,6],[4,7],[5]]=>8 [6,2,1,4,5,3,7]=>[6,2,1,4,5,3,7]=>[7,3,5,4,1,2,6]=>[[1,3,7],[2,6],[4],[5]]=>8 [6,2,1,4,5,7,3]=>[6,2,1,4,5,7,3]=>[3,7,5,4,1,2,6]=>[[1,2,7],[3,6],[4],[5]]=>9 [6,2,1,4,7,3,5]=>[2,4,6,1,3,7,5]=>[5,7,3,1,6,4,2]=>[[1,2],[3,5],[4,6],[7]]=>9 [6,2,1,4,7,5,3]=>[6,2,7,1,4,5,3]=>[3,5,4,1,7,2,6]=>[[1,2,5],[3,6,7],[4]]=>10 [6,2,1,5,3,4,7]=>[6,2,1,3,5,4,7]=>[7,4,5,3,1,2,6]=>[[1,3,7],[2,6],[4],[5]]=>8 [6,2,1,5,3,7,4]=>[6,2,1,3,5,7,4]=>[4,7,5,3,1,2,6]=>[[1,2,7],[3,6],[4],[5]]=>9 [6,2,1,5,4,3,7]=>[6,2,5,1,4,3,7]=>[7,3,4,1,5,2,6]=>[[1,3,5,7],[2,6],[4]]=>9 [6,2,1,5,4,7,3]=>[6,2,5,1,4,7,3]=>[3,7,4,1,5,2,6]=>[[1,2,5,7],[3,6],[4]]=>10 [6,2,1,5,7,3,4]=>[6,2,5,1,3,7,4]=>[4,7,3,1,5,2,6]=>[[1,2,7],[3,5],[4,6]]=>10 [6,2,1,5,7,4,3]=>[6,2,5,7,1,4,3]=>[3,4,1,7,5,2,6]=>[[1,2,4,7],[3,5],[6]]=>11 [6,2,1,7,3,4,5]=>[6,2,1,3,4,7,5]=>[5,7,4,3,1,2,6]=>[[1,2,7],[3,6],[4],[5]]=>9 [6,2,1,7,3,5,4]=>[6,2,7,1,3,5,4]=>[4,5,3,1,7,2,6]=>[[1,2,5],[3,6,7],[4]]=>10 [6,2,1,7,4,3,5]=>[6,2,4,1,3,7,5]=>[5,7,3,1,4,2,6]=>[[1,2,7],[3,5],[4,6]]=>10 [6,2,1,7,4,5,3]=>[6,7,2,1,4,5,3]=>[3,5,4,1,2,7,6]=>[[1,2,6],[3,5,7],[4]]=>11 [6,2,1,7,5,3,4]=>[6,7,2,1,3,5,4]=>[4,5,3,1,2,7,6]=>[[1,2,6],[3,5,7],[4]]=>11 [6,2,1,7,5,4,3]=>[6,7,2,5,1,4,3]=>[3,4,1,5,2,7,6]=>[[1,2,4,6],[3,5,7]]=>12 [6,2,3,1,4,5,7]=>[2,3,1,4,6,5,7]=>[7,5,6,4,1,3,2]=>[[1,3],[2,6],[4],[5],[7]]=>7 [6,2,3,1,4,7,5]=>[2,3,1,4,6,7,5]=>[5,7,6,4,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>8 [6,2,3,1,5,4,7]=>[2,3,6,1,5,4,7]=>[7,4,5,1,6,3,2]=>[[1,3,5],[2,6],[4],[7]]=>8 [6,2,3,1,5,7,4]=>[2,3,6,1,5,7,4]=>[4,7,5,1,6,3,2]=>[[1,2,5],[3,6],[4],[7]]=>9 [6,2,3,1,7,4,5]=>[2,3,6,1,4,7,5]=>[5,7,4,1,6,3,2]=>[[1,2],[3,5],[4,6],[7]]=>9 [6,2,3,1,7,5,4]=>[2,3,6,7,1,5,4]=>[4,5,1,7,6,3,2]=>[[1,2,4],[3,5],[6],[7]]=>10 [6,2,3,4,1,5,7]=>[2,3,4,1,6,5,7]=>[7,5,6,1,4,3,2]=>[[1,3],[2,5],[4],[6],[7]]=>8 [6,2,3,4,1,7,5]=>[2,3,4,1,6,7,5]=>[5,7,6,1,4,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>9 [6,2,3,4,5,1,7]=>[2,3,4,6,5,1,7]=>[7,1,5,6,4,3,2]=>[[1,3,4],[2],[5],[6],[7]]=>9 [6,2,3,4,5,7,1]=>[2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2]=>[[1,2,4],[3],[5],[6],[7]]=>10 [6,2,3,4,7,1,5]=>[2,3,4,6,1,7,5]=>[5,7,1,6,4,3,2]=>[[1,2],[3,4],[5],[6],[7]]=>10 [6,2,3,4,7,5,1]=>[2,3,4,6,7,5,1]=>[1,5,7,6,4,3,2]=>[[1,2,3],[4],[5],[6],[7]]=>11 [6,2,3,5,1,4,7]=>[6,2,3,1,5,4,7]=>[7,4,5,1,3,2,6]=>[[1,3,7],[2,5],[4],[6]]=>9 [6,2,3,5,1,7,4]=>[6,2,3,1,5,7,4]=>[4,7,5,1,3,2,6]=>[[1,2,7],[3,5],[4],[6]]=>10 [6,2,3,5,4,1,7]=>[6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6]=>[[1,3,4,7],[2],[5],[6]]=>10 [6,2,3,5,4,7,1]=>[6,2,3,5,4,7,1]=>[1,7,4,5,3,2,6]=>[[1,2,4,7],[3],[5],[6]]=>11 [6,2,3,5,7,1,4]=>[6,2,3,5,1,7,4]=>[4,7,1,5,3,2,6]=>[[1,2,7],[3,4],[5],[6]]=>11 [6,2,3,5,7,4,1]=>[6,2,3,5,7,4,1]=>[1,4,7,5,3,2,6]=>[[1,2,3,7],[4],[5],[6]]=>12 [6,2,3,7,1,4,5]=>[6,2,3,1,4,7,5]=>[5,7,4,1,3,2,6]=>[[1,2,7],[3,5],[4],[6]]=>10 [6,2,3,7,1,5,4]=>[6,2,3,7,1,5,4]=>[4,5,1,7,3,2,6]=>[[1,2,4],[3,5,7],[6]]=>11 [6,2,3,7,4,1,5]=>[6,2,3,4,1,7,5]=>[5,7,1,4,3,2,6]=>[[1,2,7],[3,4],[5],[6]]=>11 [6,2,3,7,4,5,1]=>[6,2,3,4,7,5,1]=>[1,5,7,4,3,2,6]=>[[1,2,3],[4,7],[5],[6]]=>12 [6,2,3,7,5,1,4]=>[6,7,2,3,1,5,4]=>[4,5,1,3,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>12 [6,2,3,7,5,4,1]=>[6,7,2,3,5,4,1]=>[1,4,5,3,2,7,6]=>[[1,2,3,6],[4,7],[5]]=>13 [6,2,4,1,3,5,7]=>[4,2,1,3,6,5,7]=>[7,5,6,3,1,2,4]=>[[1,3,7],[2,6],[4],[5]]=>8 [6,2,4,1,3,7,5]=>[4,2,1,3,6,7,5]=>[5,7,6,3,1,2,4]=>[[1,2,7],[3,6],[4],[5]]=>9 [6,2,4,1,5,3,7]=>[2,1,6,4,5,3,7]=>[7,3,5,4,6,1,2]=>[[1,3,5],[2,7],[4],[6]]=>9 [6,2,4,1,5,7,3]=>[2,1,6,4,5,7,3]=>[3,7,5,4,6,1,2]=>[[1,2,5],[3,7],[4],[6]]=>10 [6,2,4,1,7,3,5]=>[4,2,6,1,3,7,5]=>[5,7,3,1,6,2,4]=>[[1,2,7],[3,5],[4,6]]=>10 [6,2,4,1,7,5,3]=>[2,1,6,7,4,5,3]=>[3,5,4,7,6,1,2]=>[[1,2,4],[3,5],[6,7]]=>11 [6,2,4,3,1,5,7]=>[4,2,3,1,6,5,7]=>[7,5,6,1,3,2,4]=>[[1,3,7],[2,5],[4],[6]]=>9 [6,2,4,3,1,7,5]=>[4,2,3,1,6,7,5]=>[5,7,6,1,3,2,4]=>[[1,2,7],[3,5],[4],[6]]=>10 [6,2,4,3,5,1,7]=>[4,2,3,6,5,1,7]=>[7,1,5,6,3,2,4]=>[[1,3,4],[2,7],[5],[6]]=>10 [6,2,4,3,5,7,1]=>[4,2,3,6,5,7,1]=>[1,7,5,6,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>11 [6,2,4,3,7,1,5]=>[4,2,3,6,1,7,5]=>[5,7,1,6,3,2,4]=>[[1,2,7],[3,4],[5],[6]]=>11 [6,2,4,3,7,5,1]=>[4,2,3,6,7,5,1]=>[1,5,7,6,3,2,4]=>[[1,2,3],[4,7],[5],[6]]=>12 [6,2,4,5,1,3,7]=>[2,6,4,1,5,3,7]=>[7,3,5,1,4,6,2]=>[[1,3,6],[2,5],[4],[7]]=>10 [6,2,4,5,1,7,3]=>[2,6,4,1,5,7,3]=>[3,7,5,1,4,6,2]=>[[1,2,6],[3,5],[4],[7]]=>11 [6,2,4,5,3,1,7]=>[2,6,4,5,3,1,7]=>[7,1,3,5,4,6,2]=>[[1,3,4,6],[2],[5],[7]]=>11 [6,2,4,5,3,7,1]=>[2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2]=>[[1,2,4,6],[3],[5],[7]]=>12 [6,2,4,5,7,1,3]=>[2,6,4,5,1,7,3]=>[3,7,1,5,4,6,2]=>[[1,2,6],[3,4],[5],[7]]=>12 [6,2,4,5,7,3,1]=>[2,6,4,5,7,3,1]=>[1,3,7,5,4,6,2]=>[[1,2,3,6],[4],[5],[7]]=>13 [6,2,4,7,1,3,5]=>[4,6,2,1,3,7,5]=>[5,7,3,1,2,6,4]=>[[1,2,6],[3,5],[4,7]]=>11 [6,2,4,7,1,5,3]=>[2,6,4,7,1,5,3]=>[3,5,1,7,4,6,2]=>[[1,2,4],[3,5,6],[7]]=>12 [6,2,4,7,3,1,5]=>[4,6,2,3,1,7,5]=>[5,7,1,3,2,6,4]=>[[1,2,6],[3,4],[5,7]]=>12 [6,2,4,7,3,5,1]=>[4,6,2,3,7,5,1]=>[1,5,7,3,2,6,4]=>[[1,2,3],[4,6],[5,7]]=>13 [6,2,4,7,5,1,3]=>[2,6,7,4,1,5,3]=>[3,5,1,4,7,6,2]=>[[1,2,5],[3,4,6],[7]]=>13 [6,2,4,7,5,3,1]=>[2,6,7,4,5,3,1]=>[1,3,5,4,7,6,2]=>[[1,2,3,5],[4,6],[7]]=>14 [6,2,5,1,3,4,7]=>[2,1,6,3,5,4,7]=>[7,4,5,3,6,1,2]=>[[1,3,5],[2,7],[4],[6]]=>9 [6,2,5,1,3,7,4]=>[2,1,6,3,5,7,4]=>[4,7,5,3,6,1,2]=>[[1,2,5],[3,7],[4],[6]]=>10 [6,2,5,1,4,3,7]=>[2,6,5,1,4,3,7]=>[7,3,4,1,5,6,2]=>[[1,3,5,6],[2,7],[4]]=>10 [6,2,5,1,4,7,3]=>[2,6,5,1,4,7,3]=>[3,7,4,1,5,6,2]=>[[1,2,5,6],[3,7],[4]]=>11 [6,2,5,1,7,3,4]=>[2,6,5,1,3,7,4]=>[4,7,3,1,5,6,2]=>[[1,2,6],[3,5],[4,7]]=>11 [6,2,5,1,7,4,3]=>[2,6,5,7,1,4,3]=>[3,4,1,7,5,6,2]=>[[1,2,4,6],[3,5],[7]]=>12 [6,2,5,3,1,4,7]=>[2,6,3,1,5,4,7]=>[7,4,5,1,3,6,2]=>[[1,3,6],[2,5],[4],[7]]=>10 [6,2,5,3,1,7,4]=>[2,6,3,1,5,7,4]=>[4,7,5,1,3,6,2]=>[[1,2,6],[3,5],[4],[7]]=>11 [6,2,5,3,4,1,7]=>[2,6,3,5,4,1,7]=>[7,1,4,5,3,6,2]=>[[1,3,4,6],[2],[5],[7]]=>11 [6,2,5,3,4,7,1]=>[2,6,3,5,4,7,1]=>[1,7,4,5,3,6,2]=>[[1,2,4,6],[3],[5],[7]]=>12 [6,2,5,3,7,1,4]=>[2,6,3,5,1,7,4]=>[4,7,1,5,3,6,2]=>[[1,2,6],[3,4],[5],[7]]=>12 [6,2,5,3,7,4,1]=>[2,6,3,5,7,4,1]=>[1,4,7,5,3,6,2]=>[[1,2,3,6],[4],[5],[7]]=>13 [6,2,5,4,1,3,7]=>[6,5,2,1,4,3,7]=>[7,3,4,1,2,5,6]=>[[1,3,6,7],[2,5],[4]]=>11 [6,2,5,4,1,7,3]=>[6,5,2,1,4,7,3]=>[3,7,4,1,2,5,6]=>[[1,2,6,7],[3,5],[4]]=>12 [6,2,5,4,3,1,7]=>[6,5,2,4,3,1,7]=>[7,1,3,4,2,5,6]=>[[1,3,4,6,7],[2],[5]]=>12 [6,2,5,4,3,7,1]=>[6,5,2,4,3,7,1]=>[1,7,3,4,2,5,6]=>[[1,2,4,6,7],[3],[5]]=>13 [6,2,5,4,7,1,3]=>[6,5,2,4,1,7,3]=>[3,7,1,4,2,5,6]=>[[1,2,6,7],[3,4],[5]]=>13 [6,2,5,4,7,3,1]=>[6,5,2,4,7,3,1]=>[1,3,7,4,2,5,6]=>[[1,2,3,6,7],[4],[5]]=>14 [6,2,5,7,1,3,4]=>[6,5,2,1,3,7,4]=>[4,7,3,1,2,5,6]=>[[1,2,6,7],[3,5],[4]]=>12 [6,2,5,7,1,4,3]=>[6,5,2,7,1,4,3]=>[3,4,1,7,2,5,6]=>[[1,2,4,7],[3,5,6]]=>13 [6,2,5,7,3,1,4]=>[6,5,2,3,1,7,4]=>[4,7,1,3,2,5,6]=>[[1,2,6,7],[3,4],[5]]=>13 [6,2,5,7,3,4,1]=>[6,5,2,3,7,4,1]=>[1,4,7,3,2,5,6]=>[[1,2,3,7],[4,6],[5]]=>14 [6,2,5,7,4,1,3]=>[6,5,7,2,1,4,3]=>[3,4,1,2,7,5,6]=>[[1,2,5,7],[3,4,6]]=>14 [6,2,5,7,4,3,1]=>[6,5,7,2,4,3,1]=>[1,3,4,2,7,5,6]=>[[1,2,3,5,7],[4,6]]=>15 [6,2,7,1,3,4,5]=>[2,1,6,3,4,7,5]=>[5,7,4,3,6,1,2]=>[[1,2],[3,5],[4,7],[6]]=>10 [6,2,7,1,3,5,4]=>[2,1,6,7,3,5,4]=>[4,5,3,7,6,1,2]=>[[1,2,4],[3,5],[6,7]]=>11 [6,2,7,1,4,3,5]=>[2,6,4,1,3,7,5]=>[5,7,3,1,4,6,2]=>[[1,2,6],[3,5],[4,7]]=>11 [6,2,7,1,4,5,3]=>[2,6,1,7,4,5,3]=>[3,5,4,7,1,6,2]=>[[1,2,4],[3,6],[5,7]]=>12 [6,2,7,1,5,3,4]=>[2,6,1,7,3,5,4]=>[4,5,3,7,1,6,2]=>[[1,2,4],[3,6],[5,7]]=>12 [6,2,7,1,5,4,3]=>[2,6,7,5,1,4,3]=>[3,4,1,5,7,6,2]=>[[1,2,4,5],[3,6],[7]]=>13 [6,2,7,3,1,4,5]=>[2,6,3,1,4,7,5]=>[5,7,4,1,3,6,2]=>[[1,2,6],[3,5],[4],[7]]=>11 [6,2,7,3,1,5,4]=>[2,6,3,7,1,5,4]=>[4,5,1,7,3,6,2]=>[[1,2,4],[3,5,6],[7]]=>12 [6,2,7,3,4,1,5]=>[2,6,3,4,1,7,5]=>[5,7,1,4,3,6,2]=>[[1,2,6],[3,4],[5],[7]]=>12 [6,2,7,3,4,5,1]=>[2,6,3,4,7,5,1]=>[1,5,7,4,3,6,2]=>[[1,2,3],[4,6],[5],[7]]=>13 [6,2,7,3,5,1,4]=>[2,6,7,3,1,5,4]=>[4,5,1,3,7,6,2]=>[[1,2,5],[3,4,6],[7]]=>13 [6,2,7,3,5,4,1]=>[2,6,7,3,5,4,1]=>[1,4,5,3,7,6,2]=>[[1,2,3,5],[4,6],[7]]=>14 [6,2,7,4,1,3,5]=>[6,4,2,1,3,7,5]=>[5,7,3,1,2,4,6]=>[[1,2,6,7],[3,5],[4]]=>12 [6,2,7,4,1,5,3]=>[6,2,1,7,4,5,3]=>[3,5,4,7,1,2,6]=>[[1,2,4],[3,6,7],[5]]=>13 [6,2,7,4,3,1,5]=>[6,4,2,3,1,7,5]=>[5,7,1,3,2,4,6]=>[[1,2,6,7],[3,4],[5]]=>13 [6,2,7,4,3,5,1]=>[6,4,2,3,7,5,1]=>[1,5,7,3,2,4,6]=>[[1,2,3,7],[4,6],[5]]=>14 [6,2,7,4,5,1,3]=>[6,2,7,4,1,5,3]=>[3,5,1,4,7,2,6]=>[[1,2,5],[3,4,7],[6]]=>14 [6,2,7,4,5,3,1]=>[6,2,7,4,5,3,1]=>[1,3,5,4,7,2,6]=>[[1,2,3,5],[4,7],[6]]=>15 [6,2,7,5,1,3,4]=>[6,2,1,7,3,5,4]=>[4,5,3,7,1,2,6]=>[[1,2,4],[3,6,7],[5]]=>13 [6,2,7,5,1,4,3]=>[6,2,7,5,1,4,3]=>[3,4,1,5,7,2,6]=>[[1,2,4,5],[3,6,7]]=>14 [6,2,7,5,3,1,4]=>[6,2,7,3,1,5,4]=>[4,5,1,3,7,2,6]=>[[1,2,5],[3,4,7],[6]]=>14 [6,2,7,5,3,4,1]=>[6,2,7,3,5,4,1]=>[1,4,5,3,7,2,6]=>[[1,2,3,5],[4,7],[6]]=>15 [6,2,7,5,4,1,3]=>[6,7,5,2,1,4,3]=>[3,4,1,2,5,7,6]=>[[1,2,5,6],[3,4,7]]=>15 [6,2,7,5,4,3,1]=>[6,7,5,2,4,3,1]=>[1,3,4,2,5,7,6]=>[[1,2,3,5,6],[4,7]]=>16 [6,3,1,2,4,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>7 [6,3,1,2,4,7,5]=>[1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1]=>[[1,2],[3,6],[4],[5],[7]]=>8 [6,3,1,2,5,4,7]=>[1,3,6,2,5,4,7]=>[7,4,5,2,6,3,1]=>[[1,3,5],[2,6],[4],[7]]=>8 [6,3,1,2,5,7,4]=>[1,3,6,2,5,7,4]=>[4,7,5,2,6,3,1]=>[[1,2,5],[3,6],[4],[7]]=>9 [6,3,1,2,7,4,5]=>[1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1]=>[[1,2],[3,5],[4,6],[7]]=>9 [6,3,1,2,7,5,4]=>[1,3,6,7,2,5,4]=>[4,5,2,7,6,3,1]=>[[1,2,4],[3,5],[6],[7]]=>10 [6,3,1,4,2,5,7]=>[1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>8 [6,3,1,4,2,7,5]=>[1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1]=>[[1,2],[3,5],[4],[6],[7]]=>9 [6,3,1,4,5,2,7]=>[1,3,4,6,5,2,7]=>[7,2,5,6,4,3,1]=>[[1,3,4],[2],[5],[6],[7]]=>9 [6,3,1,4,5,7,2]=>[1,3,4,6,5,7,2]=>[2,7,5,6,4,3,1]=>[[1,2,4],[3],[5],[6],[7]]=>10 [6,3,1,4,7,2,5]=>[1,3,4,6,2,7,5]=>[5,7,2,6,4,3,1]=>[[1,2],[3,4],[5],[6],[7]]=>10 [6,3,1,4,7,5,2]=>[1,3,4,6,7,5,2]=>[2,5,7,6,4,3,1]=>[[1,2,3],[4],[5],[6],[7]]=>11 [6,3,1,5,2,4,7]=>[3,1,6,2,5,4,7]=>[7,4,5,2,6,1,3]=>[[1,3,5],[2,7],[4],[6]]=>9 [6,3,1,5,2,7,4]=>[3,1,6,2,5,7,4]=>[4,7,5,2,6,1,3]=>[[1,2,5],[3,7],[4],[6]]=>10 [6,3,1,5,4,2,7]=>[6,1,3,5,4,2,7]=>[7,2,4,5,3,1,6]=>[[1,3,4,7],[2],[5],[6]]=>10 [6,3,1,5,4,7,2]=>[6,1,3,5,4,7,2]=>[2,7,4,5,3,1,6]=>[[1,2,4,7],[3],[5],[6]]=>11 [6,3,1,5,7,2,4]=>[6,1,3,5,2,7,4]=>[4,7,2,5,3,1,6]=>[[1,2,7],[3,4],[5],[6]]=>11 [6,3,1,5,7,4,2]=>[6,1,3,5,7,4,2]=>[2,4,7,5,3,1,6]=>[[1,2,3,7],[4],[5],[6]]=>12 [6,3,1,7,2,4,5]=>[3,1,6,2,4,7,5]=>[5,7,4,2,6,1,3]=>[[1,2],[3,5],[4,7],[6]]=>10 [6,3,1,7,2,5,4]=>[3,1,6,7,2,5,4]=>[4,5,2,7,6,1,3]=>[[1,2,4],[3,5],[6,7]]=>11 [6,3,1,7,4,2,5]=>[6,1,3,4,2,7,5]=>[5,7,2,4,3,1,6]=>[[1,2,7],[3,4],[5],[6]]=>11 [6,3,1,7,4,5,2]=>[6,1,3,4,7,5,2]=>[2,5,7,4,3,1,6]=>[[1,2,3],[4,7],[5],[6]]=>12 [6,3,1,7,5,2,4]=>[3,6,1,7,2,5,4]=>[4,5,2,7,1,6,3]=>[[1,2,4],[3,6],[5,7]]=>12 [6,3,1,7,5,4,2]=>[6,7,1,3,5,4,2]=>[2,4,5,3,1,7,6]=>[[1,2,3,6],[4,7],[5]]=>13 [6,3,2,1,4,5,7]=>[3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3]=>[[1,3,7],[2,6],[4],[5]]=>8 [6,3,2,1,4,7,5]=>[3,2,1,4,6,7,5]=>[5,7,6,4,1,2,3]=>[[1,2,7],[3,6],[4],[5]]=>9 [6,3,2,1,5,4,7]=>[3,2,6,1,5,4,7]=>[7,4,5,1,6,2,3]=>[[1,3,5],[2,6,7],[4]]=>9 [6,3,2,1,5,7,4]=>[3,2,6,1,5,7,4]=>[4,7,5,1,6,2,3]=>[[1,2,5],[3,6,7],[4]]=>10 [6,3,2,1,7,4,5]=>[3,2,6,1,4,7,5]=>[5,7,4,1,6,2,3]=>[[1,2,7],[3,5],[4,6]]=>10 [6,3,2,1,7,5,4]=>[3,2,6,7,1,5,4]=>[4,5,1,7,6,2,3]=>[[1,2,4],[3,5,7],[6]]=>11 [6,3,2,4,1,5,7]=>[3,2,4,1,6,5,7]=>[7,5,6,1,4,2,3]=>[[1,3,7],[2,5],[4],[6]]=>9 [6,3,2,4,1,7,5]=>[3,2,4,1,6,7,5]=>[5,7,6,1,4,2,3]=>[[1,2,7],[3,5],[4],[6]]=>10 [6,3,2,4,5,1,7]=>[3,2,4,6,5,1,7]=>[7,1,5,6,4,2,3]=>[[1,3,4],[2,7],[5],[6]]=>10 [6,3,2,4,5,7,1]=>[3,2,4,6,5,7,1]=>[1,7,5,6,4,2,3]=>[[1,2,4],[3,7],[5],[6]]=>11 [6,3,2,4,7,1,5]=>[3,2,4,6,1,7,5]=>[5,7,1,6,4,2,3]=>[[1,2,7],[3,4],[5],[6]]=>11 [6,3,2,4,7,5,1]=>[3,2,4,6,7,5,1]=>[1,5,7,6,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>12 [6,3,2,5,1,4,7]=>[3,6,2,1,5,4,7]=>[7,4,5,1,2,6,3]=>[[1,3,6],[2,5,7],[4]]=>10 [6,3,2,5,1,7,4]=>[3,6,2,1,5,7,4]=>[4,7,5,1,2,6,3]=>[[1,2,6],[3,5,7],[4]]=>11 [6,3,2,5,4,1,7]=>[3,6,2,5,4,1,7]=>[7,1,4,5,2,6,3]=>[[1,3,4,6],[2,7],[5]]=>11 [6,3,2,5,4,7,1]=>[3,6,2,5,4,7,1]=>[1,7,4,5,2,6,3]=>[[1,2,4,6],[3,7],[5]]=>12 [6,3,2,5,7,1,4]=>[3,6,2,5,1,7,4]=>[4,7,1,5,2,6,3]=>[[1,2,6],[3,4,7],[5]]=>12 [6,3,2,5,7,4,1]=>[3,6,2,5,7,4,1]=>[1,4,7,5,2,6,3]=>[[1,2,3,6],[4,7],[5]]=>13 [6,3,2,7,1,4,5]=>[3,6,2,1,4,7,5]=>[5,7,4,1,2,6,3]=>[[1,2,6],[3,5],[4,7]]=>11 [6,3,2,7,1,5,4]=>[3,6,2,7,1,5,4]=>[4,5,1,7,2,6,3]=>[[1,2,4],[3,5,6],[7]]=>12 [6,3,2,7,4,1,5]=>[3,6,2,4,1,7,5]=>[5,7,1,4,2,6,3]=>[[1,2,6],[3,4],[5,7]]=>12 [6,3,2,7,4,5,1]=>[3,6,2,4,7,5,1]=>[1,5,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>13 [6,3,2,7,5,1,4]=>[3,6,7,2,1,5,4]=>[4,5,1,2,7,6,3]=>[[1,2,5],[3,4,6],[7]]=>13 [6,3,2,7,5,4,1]=>[3,6,7,2,5,4,1]=>[1,4,5,2,7,6,3]=>[[1,2,3,5],[4,6],[7]]=>14 [6,3,4,1,2,5,7]=>[3,1,4,2,6,5,7]=>[7,5,6,2,4,1,3]=>[[1,3],[2,5],[4,7],[6]]=>9 [6,3,4,1,2,7,5]=>[3,1,4,2,6,7,5]=>[5,7,6,2,4,1,3]=>[[1,2],[3,5],[4,7],[6]]=>10 [6,3,4,1,5,2,7]=>[3,1,4,6,5,2,7]=>[7,2,5,6,4,1,3]=>[[1,3,4],[2,7],[5],[6]]=>10 [6,3,4,1,5,7,2]=>[3,1,4,6,5,7,2]=>[2,7,5,6,4,1,3]=>[[1,2,4],[3,7],[5],[6]]=>11 [6,3,4,1,7,2,5]=>[3,1,4,6,2,7,5]=>[5,7,2,6,4,1,3]=>[[1,2],[3,4],[5,7],[6]]=>11 [6,3,4,1,7,5,2]=>[3,1,4,6,7,5,2]=>[2,5,7,6,4,1,3]=>[[1,2,3],[4,7],[5],[6]]=>12 [6,3,4,2,1,5,7]=>[3,4,2,1,6,5,7]=>[7,5,6,1,2,4,3]=>[[1,3,6],[2,5],[4],[7]]=>10 [6,3,4,2,1,7,5]=>[3,4,2,1,6,7,5]=>[5,7,6,1,2,4,3]=>[[1,2,6],[3,5],[4],[7]]=>11 [6,3,4,2,5,1,7]=>[3,4,2,6,5,1,7]=>[7,1,5,6,2,4,3]=>[[1,3,4],[2,6],[5],[7]]=>11 [6,3,4,2,5,7,1]=>[3,4,2,6,5,7,1]=>[1,7,5,6,2,4,3]=>[[1,2,4],[3,6],[5],[7]]=>12 [6,3,4,2,7,1,5]=>[3,4,2,6,1,7,5]=>[5,7,1,6,2,4,3]=>[[1,2,6],[3,4],[5],[7]]=>12 [6,3,4,2,7,5,1]=>[3,4,2,6,7,5,1]=>[1,5,7,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>13 [6,3,4,5,1,2,7]=>[3,4,1,6,5,2,7]=>[7,2,5,6,1,4,3]=>[[1,3,4],[2,6],[5],[7]]=>11 [6,3,4,5,1,7,2]=>[3,4,1,6,5,7,2]=>[2,7,5,6,1,4,3]=>[[1,2,4],[3,6],[5],[7]]=>12 [6,3,4,5,2,1,7]=>[3,4,6,5,2,1,7]=>[7,1,2,5,6,4,3]=>[[1,3,4,5],[2],[6],[7]]=>12 [6,3,4,5,2,7,1]=>[3,4,6,5,2,7,1]=>[1,7,2,5,6,4,3]=>[[1,2,4,5],[3],[6],[7]]=>13 [6,3,4,5,7,1,2]=>[3,4,6,5,1,7,2]=>[2,7,1,5,6,4,3]=>[[1,2,5],[3,4],[6],[7]]=>13 [6,3,4,5,7,2,1]=>[3,4,6,5,7,2,1]=>[1,2,7,5,6,4,3]=>[[1,2,3,5],[4],[6],[7]]=>14 [6,3,4,7,1,2,5]=>[3,4,1,6,2,7,5]=>[5,7,2,6,1,4,3]=>[[1,2],[3,4],[5,6],[7]]=>12 [6,3,4,7,1,5,2]=>[3,4,1,6,7,5,2]=>[2,5,7,6,1,4,3]=>[[1,2,3],[4,6],[5],[7]]=>13 [6,3,4,7,2,1,5]=>[3,4,6,2,1,7,5]=>[5,7,1,2,6,4,3]=>[[1,2,5],[3,4],[6],[7]]=>13 [6,3,4,7,2,5,1]=>[3,4,6,2,7,5,1]=>[1,5,7,2,6,4,3]=>[[1,2,3],[4,5],[6],[7]]=>14 [6,3,4,7,5,1,2]=>[3,4,6,1,7,5,2]=>[2,5,7,1,6,4,3]=>[[1,2,3],[4,5],[6],[7]]=>14 [6,3,4,7,5,2,1]=>[3,4,6,7,5,2,1]=>[1,2,5,7,6,4,3]=>[[1,2,3,4],[5],[6],[7]]=>15 [6,3,5,1,2,4,7]=>[1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [6,3,5,1,2,7,4]=>[1,6,3,2,5,7,4]=>[4,7,5,2,3,6,1]=>[[1,2,6],[3,5],[4],[7]]=>11 [6,3,5,1,4,2,7]=>[3,6,1,5,4,2,7]=>[7,2,4,5,1,6,3]=>[[1,3,4,6],[2,7],[5]]=>11 [6,3,5,1,4,7,2]=>[3,6,1,5,4,7,2]=>[2,7,4,5,1,6,3]=>[[1,2,4,6],[3,7],[5]]=>12 [6,3,5,1,7,2,4]=>[3,6,1,5,2,7,4]=>[4,7,2,5,1,6,3]=>[[1,2,6],[3,4],[5,7]]=>12 [6,3,5,1,7,4,2]=>[3,6,1,5,7,4,2]=>[2,4,7,5,1,6,3]=>[[1,2,3,6],[4,7],[5]]=>13 [6,3,5,2,1,4,7]=>[6,3,2,1,5,4,7]=>[7,4,5,1,2,3,6]=>[[1,3,6,7],[2,5],[4]]=>11 [6,3,5,2,1,7,4]=>[6,3,2,1,5,7,4]=>[4,7,5,1,2,3,6]=>[[1,2,6,7],[3,5],[4]]=>12 [6,3,5,2,4,1,7]=>[6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6]=>[[1,3,4,7],[2,6],[5]]=>12 [6,3,5,2,4,7,1]=>[6,3,2,5,4,7,1]=>[1,7,4,5,2,3,6]=>[[1,2,4,7],[3,6],[5]]=>13 [6,3,5,2,7,1,4]=>[6,3,2,5,1,7,4]=>[4,7,1,5,2,3,6]=>[[1,2,6,7],[3,4],[5]]=>13 [6,3,5,2,7,4,1]=>[6,3,2,5,7,4,1]=>[1,4,7,5,2,3,6]=>[[1,2,3,7],[4,6],[5]]=>14 [6,3,5,4,1,2,7]=>[6,3,1,5,4,2,7]=>[7,2,4,5,1,3,6]=>[[1,3,4,7],[2,6],[5]]=>12 [6,3,5,4,1,7,2]=>[6,3,1,5,4,7,2]=>[2,7,4,5,1,3,6]=>[[1,2,4,7],[3,6],[5]]=>13 [6,3,5,4,2,1,7]=>[6,3,5,4,2,1,7]=>[7,1,2,4,5,3,6]=>[[1,3,4,5,7],[2],[6]]=>13 [6,3,5,4,2,7,1]=>[6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6]=>[[1,2,4,5,7],[3],[6]]=>14 [6,3,5,4,7,1,2]=>[6,3,5,4,1,7,2]=>[2,7,1,4,5,3,6]=>[[1,2,5,7],[3,4],[6]]=>14 [6,3,5,4,7,2,1]=>[6,3,5,4,7,2,1]=>[1,2,7,4,5,3,6]=>[[1,2,3,5,7],[4],[6]]=>15 [6,3,5,7,1,2,4]=>[6,3,1,5,2,7,4]=>[4,7,2,5,1,3,6]=>[[1,2,7],[3,4],[5,6]]=>13 [6,3,5,7,1,4,2]=>[6,3,1,5,7,4,2]=>[2,4,7,5,1,3,6]=>[[1,2,3,7],[4,6],[5]]=>14 [6,3,5,7,2,1,4]=>[6,3,5,2,1,7,4]=>[4,7,1,2,5,3,6]=>[[1,2,5,7],[3,4],[6]]=>14 [6,3,5,7,2,4,1]=>[6,3,5,2,7,4,1]=>[1,4,7,2,5,3,6]=>[[1,2,3,7],[4,5],[6]]=>15 [6,3,5,7,4,1,2]=>[6,3,5,1,7,4,2]=>[2,4,7,1,5,3,6]=>[[1,2,3,7],[4,5],[6]]=>15 [6,3,5,7,4,2,1]=>[6,3,5,7,4,2,1]=>[1,2,4,7,5,3,6]=>[[1,2,3,4,7],[5],[6]]=>16 [6,3,7,1,2,4,5]=>[1,6,3,2,4,7,5]=>[5,7,4,2,3,6,1]=>[[1,2,6],[3,5],[4],[7]]=>11 [6,3,7,1,2,5,4]=>[1,6,3,7,2,5,4]=>[4,5,2,7,3,6,1]=>[[1,2,4],[3,5,6],[7]]=>12 [6,3,7,1,4,2,5]=>[3,6,1,4,2,7,5]=>[5,7,2,4,1,6,3]=>[[1,2,6],[3,4],[5,7]]=>12 [6,3,7,1,4,5,2]=>[3,6,1,4,7,5,2]=>[2,5,7,4,1,6,3]=>[[1,2,3],[4,6],[5,7]]=>13 [6,3,7,1,5,2,4]=>[6,3,1,7,2,5,4]=>[4,5,2,7,1,3,6]=>[[1,2,4],[3,6,7],[5]]=>13 [6,3,7,1,5,4,2]=>[3,6,7,1,5,4,2]=>[2,4,5,1,7,6,3]=>[[1,2,3,5],[4,6],[7]]=>14 [6,3,7,2,1,4,5]=>[6,3,2,1,4,7,5]=>[5,7,4,1,2,3,6]=>[[1,2,6,7],[3,5],[4]]=>12 [6,3,7,2,1,5,4]=>[6,3,2,7,1,5,4]=>[4,5,1,7,2,3,6]=>[[1,2,4,7],[3,5,6]]=>13 [6,3,7,2,4,1,5]=>[6,3,2,4,1,7,5]=>[5,7,1,4,2,3,6]=>[[1,2,6,7],[3,4],[5]]=>13 [6,3,7,2,4,5,1]=>[6,3,2,4,7,5,1]=>[1,5,7,4,2,3,6]=>[[1,2,3,7],[4,6],[5]]=>14 [6,3,7,2,5,1,4]=>[6,3,7,2,1,5,4]=>[4,5,1,2,7,3,6]=>[[1,2,5,7],[3,4,6]]=>14 [6,3,7,2,5,4,1]=>[6,3,7,2,5,4,1]=>[1,4,5,2,7,3,6]=>[[1,2,3,5],[4,6,7]]=>15 [6,3,7,4,1,2,5]=>[6,3,1,4,2,7,5]=>[5,7,2,4,1,3,6]=>[[1,2,7],[3,4],[5,6]]=>13 [6,3,7,4,1,5,2]=>[6,3,1,4,7,5,2]=>[2,5,7,4,1,3,6]=>[[1,2,3],[4,6,7],[5]]=>14 [6,3,7,4,2,1,5]=>[6,3,4,2,1,7,5]=>[5,7,1,2,4,3,6]=>[[1,2,5,7],[3,4],[6]]=>14 [6,3,7,4,2,5,1]=>[6,3,4,2,7,5,1]=>[1,5,7,2,4,3,6]=>[[1,2,3,7],[4,5],[6]]=>15 [6,3,7,4,5,1,2]=>[6,3,4,1,7,5,2]=>[2,5,7,1,4,3,6]=>[[1,2,3],[4,5,7],[6]]=>15 [6,3,7,4,5,2,1]=>[6,3,4,7,5,2,1]=>[1,2,5,7,4,3,6]=>[[1,2,3,4],[5,7],[6]]=>16 [6,3,7,5,1,2,4]=>[6,1,7,3,2,5,4]=>[4,5,2,3,7,1,6]=>[[1,2,5],[3,4,7],[6]]=>14 [6,3,7,5,1,4,2]=>[6,3,7,1,5,4,2]=>[2,4,5,1,7,3,6]=>[[1,2,3,5],[4,6,7]]=>15 [6,3,7,5,2,1,4]=>[6,7,3,2,1,5,4]=>[4,5,1,2,3,7,6]=>[[1,2,5,6],[3,4,7]]=>15 [6,3,7,5,2,4,1]=>[6,7,3,2,5,4,1]=>[1,4,5,2,3,7,6]=>[[1,2,3,6],[4,5,7]]=>16 [6,3,7,5,4,1,2]=>[6,7,3,1,5,4,2]=>[2,4,5,1,3,7,6]=>[[1,2,3,6],[4,5,7]]=>16 [6,3,7,5,4,2,1]=>[6,7,3,5,4,2,1]=>[1,2,4,5,3,7,6]=>[[1,2,3,4,6],[5,7]]=>17 [6,4,1,2,3,5,7]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>8 [6,4,1,2,3,7,5]=>[1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>9 [6,4,1,2,5,3,7]=>[1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>9 [6,4,1,2,5,7,3]=>[1,2,4,6,5,7,3]=>[3,7,5,6,4,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>10 [6,4,1,2,7,3,5]=>[1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>10 [6,4,1,2,7,5,3]=>[1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>11 [6,4,1,3,2,5,7]=>[4,1,3,2,6,5,7]=>[7,5,6,2,3,1,4]=>[[1,3,7],[2,5],[4],[6]]=>9 [6,4,1,3,2,7,5]=>[4,1,3,2,6,7,5]=>[5,7,6,2,3,1,4]=>[[1,2,7],[3,5],[4],[6]]=>10 [6,4,1,3,5,2,7]=>[4,1,3,6,5,2,7]=>[7,2,5,6,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>10 [6,4,1,3,5,7,2]=>[4,1,3,6,5,7,2]=>[2,7,5,6,3,1,4]=>[[1,2,4],[3,7],[5],[6]]=>11 [6,4,1,3,7,2,5]=>[4,1,3,6,2,7,5]=>[5,7,2,6,3,1,4]=>[[1,2,7],[3,4],[5],[6]]=>11 [6,4,1,3,7,5,2]=>[4,1,3,6,7,5,2]=>[2,5,7,6,3,1,4]=>[[1,2,3],[4,7],[5],[6]]=>12 [6,4,1,5,2,3,7]=>[4,1,2,6,5,3,7]=>[7,3,5,6,2,1,4]=>[[1,3,4],[2,7],[5],[6]]=>10 [6,4,1,5,2,7,3]=>[4,1,2,6,5,7,3]=>[3,7,5,6,2,1,4]=>[[1,2,4],[3,7],[5],[6]]=>11 [6,4,1,5,3,2,7]=>[1,6,4,5,3,2,7]=>[7,2,3,5,4,6,1]=>[[1,3,4,6],[2],[5],[7]]=>11 [6,4,1,5,3,7,2]=>[1,6,4,5,3,7,2]=>[2,7,3,5,4,6,1]=>[[1,2,4,6],[3],[5],[7]]=>12 [6,4,1,5,7,2,3]=>[1,6,4,5,2,7,3]=>[3,7,2,5,4,6,1]=>[[1,2,6],[3,4],[5],[7]]=>12 [6,4,1,5,7,3,2]=>[1,6,4,5,7,3,2]=>[2,3,7,5,4,6,1]=>[[1,2,3,6],[4],[5],[7]]=>13 [6,4,1,7,2,3,5]=>[4,1,2,6,3,7,5]=>[5,7,3,6,2,1,4]=>[[1,2],[3,4],[5,7],[6]]=>11 [6,4,1,7,2,5,3]=>[4,1,2,6,7,5,3]=>[3,5,7,6,2,1,4]=>[[1,2,3],[4,7],[5],[6]]=>12 [6,4,1,7,3,2,5]=>[4,6,1,3,2,7,5]=>[5,7,2,3,1,6,4]=>[[1,2,6],[3,4],[5,7]]=>12 [6,4,1,7,3,5,2]=>[4,6,1,3,7,5,2]=>[2,5,7,3,1,6,4]=>[[1,2,3],[4,6],[5,7]]=>13 [6,4,1,7,5,2,3]=>[4,6,1,2,7,5,3]=>[3,5,7,2,1,6,4]=>[[1,2,3],[4,6],[5,7]]=>13 [6,4,1,7,5,3,2]=>[1,6,7,4,5,3,2]=>[2,3,5,4,7,6,1]=>[[1,2,3,5],[4,6],[7]]=>14 [6,4,2,1,3,5,7]=>[2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2]=>[[1,3],[2,5],[4,7],[6]]=>9 [6,4,2,1,3,7,5]=>[2,1,4,3,6,7,5]=>[5,7,6,3,4,1,2]=>[[1,2],[3,5],[4,7],[6]]=>10 [6,4,2,1,5,3,7]=>[2,1,4,6,5,3,7]=>[7,3,5,6,4,1,2]=>[[1,3,4],[2,7],[5],[6]]=>10 [6,4,2,1,5,7,3]=>[2,1,4,6,5,7,3]=>[3,7,5,6,4,1,2]=>[[1,2,4],[3,7],[5],[6]]=>11 [6,4,2,1,7,3,5]=>[2,1,4,6,3,7,5]=>[5,7,3,6,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>11 [6,4,2,1,7,5,3]=>[2,1,4,6,7,5,3]=>[3,5,7,6,4,1,2]=>[[1,2,3],[4,7],[5],[6]]=>12 [6,4,2,3,1,5,7]=>[2,4,3,1,6,5,7]=>[7,5,6,1,3,4,2]=>[[1,3,6],[2,5],[4],[7]]=>10 [6,4,2,3,1,7,5]=>[2,4,3,1,6,7,5]=>[5,7,6,1,3,4,2]=>[[1,2,6],[3,5],[4],[7]]=>11 [6,4,2,3,5,1,7]=>[2,4,3,6,5,1,7]=>[7,1,5,6,3,4,2]=>[[1,3,4],[2,6],[5],[7]]=>11 [6,4,2,3,5,7,1]=>[2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>12 [6,4,2,3,7,1,5]=>[2,4,3,6,1,7,5]=>[5,7,1,6,3,4,2]=>[[1,2,6],[3,4],[5],[7]]=>12 [6,4,2,3,7,5,1]=>[2,4,3,6,7,5,1]=>[1,5,7,6,3,4,2]=>[[1,2,3],[4,6],[5],[7]]=>13 [6,4,2,5,1,3,7]=>[2,4,1,6,5,3,7]=>[7,3,5,6,1,4,2]=>[[1,3,4],[2,6],[5],[7]]=>11 [6,4,2,5,1,7,3]=>[2,4,1,6,5,7,3]=>[3,7,5,6,1,4,2]=>[[1,2,4],[3,6],[5],[7]]=>12 [6,4,2,5,3,1,7]=>[2,4,6,5,3,1,7]=>[7,1,3,5,6,4,2]=>[[1,3,4,5],[2],[6],[7]]=>12 [6,4,2,5,3,7,1]=>[2,4,6,5,3,7,1]=>[1,7,3,5,6,4,2]=>[[1,2,4,5],[3],[6],[7]]=>13 [6,4,2,5,7,1,3]=>[2,4,6,5,1,7,3]=>[3,7,1,5,6,4,2]=>[[1,2,5],[3,4],[6],[7]]=>13 [6,4,2,5,7,3,1]=>[2,4,6,5,7,3,1]=>[1,3,7,5,6,4,2]=>[[1,2,3,5],[4],[6],[7]]=>14 [6,4,2,7,1,3,5]=>[2,4,1,6,3,7,5]=>[5,7,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>12 [6,4,2,7,1,5,3]=>[2,4,1,6,7,5,3]=>[3,5,7,6,1,4,2]=>[[1,2,3],[4,6],[5],[7]]=>13 [6,4,2,7,3,1,5]=>[2,4,6,3,1,7,5]=>[5,7,1,3,6,4,2]=>[[1,2,5],[3,4],[6],[7]]=>13 [6,4,2,7,3,5,1]=>[2,4,6,3,7,5,1]=>[1,5,7,3,6,4,2]=>[[1,2,3],[4,5],[6],[7]]=>14 [6,4,2,7,5,1,3]=>[2,4,6,1,7,5,3]=>[3,5,7,1,6,4,2]=>[[1,2,3],[4,5],[6],[7]]=>14 [6,4,2,7,5,3,1]=>[2,4,6,7,5,3,1]=>[1,3,5,7,6,4,2]=>[[1,2,3,4],[5],[6],[7]]=>15 [6,4,3,1,2,5,7]=>[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>[[1,3,6],[2,5],[4],[7]]=>10 [6,4,3,1,2,7,5]=>[1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1]=>[[1,2,6],[3,5],[4],[7]]=>11 [6,4,3,1,5,2,7]=>[1,4,3,6,5,2,7]=>[7,2,5,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [6,4,3,1,5,7,2]=>[1,4,3,6,5,7,2]=>[2,7,5,6,3,4,1]=>[[1,2,4],[3,6],[5],[7]]=>12 [6,4,3,1,7,2,5]=>[1,4,3,6,2,7,5]=>[5,7,2,6,3,4,1]=>[[1,2,6],[3,4],[5],[7]]=>12 [6,4,3,1,7,5,2]=>[1,4,3,6,7,5,2]=>[2,5,7,6,3,4,1]=>[[1,2,3],[4,6],[5],[7]]=>13 [6,4,3,2,1,5,7]=>[4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]=>[[1,3,6,7],[2,5],[4]]=>11 [6,4,3,2,1,7,5]=>[4,3,2,1,6,7,5]=>[5,7,6,1,2,3,4]=>[[1,2,6,7],[3,5],[4]]=>12 [6,4,3,2,5,1,7]=>[4,3,2,6,5,1,7]=>[7,1,5,6,2,3,4]=>[[1,3,4,7],[2,6],[5]]=>12 [6,4,3,2,5,7,1]=>[4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4]=>[[1,2,4,7],[3,6],[5]]=>13 [6,4,3,2,7,1,5]=>[4,3,2,6,1,7,5]=>[5,7,1,6,2,3,4]=>[[1,2,6,7],[3,4],[5]]=>13 [6,4,3,2,7,5,1]=>[4,3,2,6,7,5,1]=>[1,5,7,6,2,3,4]=>[[1,2,3,7],[4,6],[5]]=>14 [6,4,3,5,1,2,7]=>[4,3,1,6,5,2,7]=>[7,2,5,6,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>12 [6,4,3,5,1,7,2]=>[4,3,1,6,5,7,2]=>[2,7,5,6,1,3,4]=>[[1,2,4],[3,6,7],[5]]=>13 [6,4,3,5,2,1,7]=>[4,3,6,5,2,1,7]=>[7,1,2,5,6,3,4]=>[[1,3,4,5],[2,7],[6]]=>13 [6,4,3,5,2,7,1]=>[4,3,6,5,2,7,1]=>[1,7,2,5,6,3,4]=>[[1,2,4,5],[3,7],[6]]=>14 [6,4,3,5,7,1,2]=>[4,3,6,5,1,7,2]=>[2,7,1,5,6,3,4]=>[[1,2,5],[3,4,7],[6]]=>14 [6,4,3,5,7,2,1]=>[4,3,6,5,7,2,1]=>[1,2,7,5,6,3,4]=>[[1,2,3,5],[4,7],[6]]=>15 [6,4,3,7,1,2,5]=>[4,3,1,6,2,7,5]=>[5,7,2,6,1,3,4]=>[[1,2,7],[3,4],[5,6]]=>13 [6,4,3,7,1,5,2]=>[4,3,1,6,7,5,2]=>[2,5,7,6,1,3,4]=>[[1,2,3],[4,6,7],[5]]=>14 [6,4,3,7,2,1,5]=>[4,3,6,2,1,7,5]=>[5,7,1,2,6,3,4]=>[[1,2,5,7],[3,4],[6]]=>14 [6,4,3,7,2,5,1]=>[4,3,6,2,7,5,1]=>[1,5,7,2,6,3,4]=>[[1,2,3,7],[4,5],[6]]=>15 [6,4,3,7,5,1,2]=>[4,3,6,1,7,5,2]=>[2,5,7,1,6,3,4]=>[[1,2,3],[4,5,7],[6]]=>15 [6,4,3,7,5,2,1]=>[4,3,6,7,5,2,1]=>[1,2,5,7,6,3,4]=>[[1,2,3,4],[5,7],[6]]=>16 [6,4,5,1,2,3,7]=>[1,4,2,6,5,3,7]=>[7,3,5,6,2,4,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [6,4,5,1,2,7,3]=>[1,4,2,6,5,7,3]=>[3,7,5,6,2,4,1]=>[[1,2,4],[3,6],[5],[7]]=>12 [6,4,5,1,3,2,7]=>[1,4,6,5,3,2,7]=>[7,2,3,5,6,4,1]=>[[1,3,4,5],[2],[6],[7]]=>12 [6,4,5,1,3,7,2]=>[1,4,6,5,3,7,2]=>[2,7,3,5,6,4,1]=>[[1,2,4,5],[3],[6],[7]]=>13 [6,4,5,1,7,2,3]=>[1,4,6,5,2,7,3]=>[3,7,2,5,6,4,1]=>[[1,2,5],[3,4],[6],[7]]=>13 [6,4,5,1,7,3,2]=>[1,4,6,5,7,3,2]=>[2,3,7,5,6,4,1]=>[[1,2,3,5],[4],[6],[7]]=>14 [6,4,5,2,1,3,7]=>[4,2,1,6,5,3,7]=>[7,3,5,6,1,2,4]=>[[1,3,4],[2,6,7],[5]]=>12 [6,4,5,2,1,7,3]=>[4,2,1,6,5,7,3]=>[3,7,5,6,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>13 [6,4,5,2,3,1,7]=>[4,2,6,5,3,1,7]=>[7,1,3,5,6,2,4]=>[[1,3,4,5],[2,7],[6]]=>13 [6,4,5,2,3,7,1]=>[4,2,6,5,3,7,1]=>[1,7,3,5,6,2,4]=>[[1,2,4,5],[3,7],[6]]=>14 [6,4,5,2,7,1,3]=>[4,2,6,5,1,7,3]=>[3,7,1,5,6,2,4]=>[[1,2,5],[3,4,7],[6]]=>14 [6,4,5,2,7,3,1]=>[4,2,6,5,7,3,1]=>[1,3,7,5,6,2,4]=>[[1,2,3,5],[4,7],[6]]=>15 [6,4,5,3,1,2,7]=>[4,1,6,5,3,2,7]=>[7,2,3,5,6,1,4]=>[[1,3,4,5],[2,7],[6]]=>13 [6,4,5,3,1,7,2]=>[4,1,6,5,3,7,2]=>[2,7,3,5,6,1,4]=>[[1,2,4,5],[3,7],[6]]=>14 [6,4,5,3,2,1,7]=>[4,6,5,3,2,1,7]=>[7,1,2,3,5,6,4]=>[[1,3,4,5,6],[2],[7]]=>14 [6,4,5,3,2,7,1]=>[4,6,5,3,2,7,1]=>[1,7,2,3,5,6,4]=>[[1,2,4,5,6],[3],[7]]=>15 [6,4,5,3,7,1,2]=>[4,6,5,3,1,7,2]=>[2,7,1,3,5,6,4]=>[[1,2,5,6],[3,4],[7]]=>15 [6,4,5,3,7,2,1]=>[4,6,5,3,7,2,1]=>[1,2,7,3,5,6,4]=>[[1,2,3,5,6],[4],[7]]=>16 [6,4,5,7,1,2,3]=>[4,1,6,5,2,7,3]=>[3,7,2,5,6,1,4]=>[[1,2,5],[3,4],[6,7]]=>14 [6,4,5,7,1,3,2]=>[4,1,6,5,7,3,2]=>[2,3,7,5,6,1,4]=>[[1,2,3,5],[4,7],[6]]=>15 [6,4,5,7,2,1,3]=>[4,6,5,2,1,7,3]=>[3,7,1,2,5,6,4]=>[[1,2,5,6],[3,4],[7]]=>15 [6,4,5,7,2,3,1]=>[4,6,5,2,7,3,1]=>[1,3,7,2,5,6,4]=>[[1,2,3,6],[4,5],[7]]=>16 [6,4,5,7,3,1,2]=>[4,6,5,1,7,3,2]=>[2,3,7,1,5,6,4]=>[[1,2,3,6],[4,5],[7]]=>16 [6,4,5,7,3,2,1]=>[4,6,5,7,3,2,1]=>[1,2,3,7,5,6,4]=>[[1,2,3,4,6],[5],[7]]=>17 [6,4,7,1,2,3,5]=>[1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1]=>[[1,2],[3,4],[5,6],[7]]=>12 [6,4,7,1,2,5,3]=>[1,4,2,6,7,5,3]=>[3,5,7,6,2,4,1]=>[[1,2,3],[4,6],[5],[7]]=>13 [6,4,7,1,3,2,5]=>[1,4,6,3,2,7,5]=>[5,7,2,3,6,4,1]=>[[1,2,5],[3,4],[6],[7]]=>13 [6,4,7,1,3,5,2]=>[1,4,6,3,7,5,2]=>[2,5,7,3,6,4,1]=>[[1,2,3],[4,5],[6],[7]]=>14 [6,4,7,1,5,2,3]=>[1,4,6,2,7,5,3]=>[3,5,7,2,6,4,1]=>[[1,2,3],[4,5],[6],[7]]=>14 [6,4,7,1,5,3,2]=>[1,4,6,7,5,3,2]=>[2,3,5,7,6,4,1]=>[[1,2,3,4],[5],[6],[7]]=>15 [6,4,7,2,1,3,5]=>[4,2,1,6,3,7,5]=>[5,7,3,6,1,2,4]=>[[1,2,7],[3,4],[5,6]]=>13 [6,4,7,2,1,5,3]=>[4,2,1,6,7,5,3]=>[3,5,7,6,1,2,4]=>[[1,2,3],[4,6,7],[5]]=>14 [6,4,7,2,3,1,5]=>[4,2,6,3,1,7,5]=>[5,7,1,3,6,2,4]=>[[1,2,5],[3,4],[6,7]]=>14 [6,4,7,2,3,5,1]=>[4,2,6,3,7,5,1]=>[1,5,7,3,6,2,4]=>[[1,2,3],[4,5],[6,7]]=>15 [6,4,7,2,5,1,3]=>[4,2,6,1,7,5,3]=>[3,5,7,1,6,2,4]=>[[1,2,3],[4,5,7],[6]]=>15 [6,4,7,2,5,3,1]=>[4,2,6,7,5,3,1]=>[1,3,5,7,6,2,4]=>[[1,2,3,4],[5,7],[6]]=>16 [6,4,7,3,1,2,5]=>[4,1,6,3,2,7,5]=>[5,7,2,3,6,1,4]=>[[1,2,5],[3,4],[6,7]]=>14 [6,4,7,3,1,5,2]=>[4,1,6,3,7,5,2]=>[2,5,7,3,6,1,4]=>[[1,2,3],[4,5],[6,7]]=>15 [6,4,7,3,2,1,5]=>[4,6,3,2,1,7,5]=>[5,7,1,2,3,6,4]=>[[1,2,5,6],[3,4],[7]]=>15 [6,4,7,3,2,5,1]=>[4,6,3,2,7,5,1]=>[1,5,7,2,3,6,4]=>[[1,2,3,6],[4,5],[7]]=>16 [6,4,7,3,5,1,2]=>[4,6,3,1,7,5,2]=>[2,5,7,1,3,6,4]=>[[1,2,3],[4,5,6],[7]]=>16 [6,4,7,3,5,2,1]=>[4,6,3,7,5,2,1]=>[1,2,5,7,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>17 [6,4,7,5,1,2,3]=>[4,1,6,2,7,5,3]=>[3,5,7,2,6,1,4]=>[[1,2,3],[4,5],[6,7]]=>15 [6,4,7,5,1,3,2]=>[4,1,6,7,5,3,2]=>[2,3,5,7,6,1,4]=>[[1,2,3,4],[5,7],[6]]=>16 [6,4,7,5,2,1,3]=>[4,6,2,1,7,5,3]=>[3,5,7,1,2,6,4]=>[[1,2,3],[4,5,6],[7]]=>16 [6,4,7,5,2,3,1]=>[4,6,2,7,5,3,1]=>[1,3,5,7,2,6,4]=>[[1,2,3,4],[5,6],[7]]=>17 [6,4,7,5,3,1,2]=>[4,6,1,7,5,3,2]=>[2,3,5,7,1,6,4]=>[[1,2,3,4],[5,6],[7]]=>17 [6,4,7,5,3,2,1]=>[4,6,7,5,3,2,1]=>[1,2,3,5,7,6,4]=>[[1,2,3,4,5],[6],[7]]=>18 [6,5,1,2,3,4,7]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>9 [6,5,1,2,3,7,4]=>[1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>10 [6,5,1,2,4,3,7]=>[6,1,2,5,4,3,7]=>[7,3,4,5,2,1,6]=>[[1,3,4,7],[2],[5],[6]]=>10 [6,5,1,2,4,7,3]=>[6,1,2,5,4,7,3]=>[3,7,4,5,2,1,6]=>[[1,2,4,7],[3],[5],[6]]=>11 [6,5,1,2,7,3,4]=>[6,1,2,5,3,7,4]=>[4,7,3,5,2,1,6]=>[[1,2,7],[3,4],[5],[6]]=>11 [6,5,1,2,7,4,3]=>[6,1,2,5,7,4,3]=>[3,4,7,5,2,1,6]=>[[1,2,3,7],[4],[5],[6]]=>12 [6,5,1,3,2,4,7]=>[3,1,2,6,5,4,7]=>[7,4,5,6,2,1,3]=>[[1,3,4],[2,7],[5],[6]]=>10 [6,5,1,3,2,7,4]=>[3,1,2,6,5,7,4]=>[4,7,5,6,2,1,3]=>[[1,2,4],[3,7],[5],[6]]=>11 [6,5,1,3,4,2,7]=>[1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1]=>[[1,3,4,6],[2],[5],[7]]=>11 [6,5,1,3,4,7,2]=>[1,6,3,5,4,7,2]=>[2,7,4,5,3,6,1]=>[[1,2,4,6],[3],[5],[7]]=>12 [6,5,1,3,7,2,4]=>[1,6,3,5,2,7,4]=>[4,7,2,5,3,6,1]=>[[1,2,6],[3,4],[5],[7]]=>12 [6,5,1,3,7,4,2]=>[1,6,3,5,7,4,2]=>[2,4,7,5,3,6,1]=>[[1,2,3,6],[4],[5],[7]]=>13 [6,5,1,4,2,3,7]=>[1,6,2,5,4,3,7]=>[7,3,4,5,2,6,1]=>[[1,3,4,6],[2],[5],[7]]=>11 [6,5,1,4,2,7,3]=>[1,6,2,5,4,7,3]=>[3,7,4,5,2,6,1]=>[[1,2,4,6],[3],[5],[7]]=>12 [6,5,1,4,3,2,7]=>[6,5,1,4,3,2,7]=>[7,2,3,4,1,5,6]=>[[1,3,4,6,7],[2],[5]]=>12 [6,5,1,4,3,7,2]=>[6,5,1,4,3,7,2]=>[2,7,3,4,1,5,6]=>[[1,2,4,6,7],[3],[5]]=>13 [6,5,1,4,7,2,3]=>[6,5,1,4,2,7,3]=>[3,7,2,4,1,5,6]=>[[1,2,6,7],[3,4],[5]]=>13 [6,5,1,4,7,3,2]=>[6,5,1,4,7,3,2]=>[2,3,7,4,1,5,6]=>[[1,2,3,6,7],[4],[5]]=>14 [6,5,1,7,2,3,4]=>[1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1]=>[[1,2,6],[3,4],[5],[7]]=>12 [6,5,1,7,2,4,3]=>[1,6,2,5,7,4,3]=>[3,4,7,5,2,6,1]=>[[1,2,3,6],[4],[5],[7]]=>13 [6,5,1,7,3,2,4]=>[6,5,1,3,2,7,4]=>[4,7,2,3,1,5,6]=>[[1,2,6,7],[3,4],[5]]=>13 [6,5,1,7,3,4,2]=>[6,5,1,3,7,4,2]=>[2,4,7,3,1,5,6]=>[[1,2,3,7],[4,6],[5]]=>14 [6,5,1,7,4,2,3]=>[6,5,1,2,7,4,3]=>[3,4,7,2,1,5,6]=>[[1,2,3,7],[4,6],[5]]=>14 [6,5,1,7,4,3,2]=>[6,5,7,1,4,3,2]=>[2,3,4,1,7,5,6]=>[[1,2,3,5,7],[4,6]]=>15 [6,5,2,1,3,4,7]=>[2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2]=>[[1,3,4],[2,7],[5],[6]]=>10 [6,5,2,1,3,7,4]=>[2,1,3,6,5,7,4]=>[4,7,5,6,3,1,2]=>[[1,2,4],[3,7],[5],[6]]=>11 [6,5,2,1,4,3,7]=>[2,6,1,5,4,3,7]=>[7,3,4,5,1,6,2]=>[[1,3,4,6],[2,7],[5]]=>11 [6,5,2,1,4,7,3]=>[2,6,1,5,4,7,3]=>[3,7,4,5,1,6,2]=>[[1,2,4,6],[3,7],[5]]=>12 [6,5,2,1,7,3,4]=>[2,6,1,5,3,7,4]=>[4,7,3,5,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>12 [6,5,2,1,7,4,3]=>[2,6,1,5,7,4,3]=>[3,4,7,5,1,6,2]=>[[1,2,3,6],[4,7],[5]]=>13 [6,5,2,3,1,4,7]=>[2,3,1,6,5,4,7]=>[7,4,5,6,1,3,2]=>[[1,3,4],[2,6],[5],[7]]=>11 [6,5,2,3,1,7,4]=>[2,3,1,6,5,7,4]=>[4,7,5,6,1,3,2]=>[[1,2,4],[3,6],[5],[7]]=>12 [6,5,2,3,4,1,7]=>[2,3,6,5,4,1,7]=>[7,1,4,5,6,3,2]=>[[1,3,4,5],[2],[6],[7]]=>12 [6,5,2,3,4,7,1]=>[2,3,6,5,4,7,1]=>[1,7,4,5,6,3,2]=>[[1,2,4,5],[3],[6],[7]]=>13 [6,5,2,3,7,1,4]=>[2,3,6,5,1,7,4]=>[4,7,1,5,6,3,2]=>[[1,2,5],[3,4],[6],[7]]=>13 [6,5,2,3,7,4,1]=>[2,3,6,5,7,4,1]=>[1,4,7,5,6,3,2]=>[[1,2,3,5],[4],[6],[7]]=>14 [6,5,2,4,1,3,7]=>[6,2,1,5,4,3,7]=>[7,3,4,5,1,2,6]=>[[1,3,4,7],[2,6],[5]]=>12 [6,5,2,4,1,7,3]=>[6,2,1,5,4,7,3]=>[3,7,4,5,1,2,6]=>[[1,2,4,7],[3,6],[5]]=>13 [6,5,2,4,3,1,7]=>[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[[1,3,4,5,7],[2],[6]]=>13 [6,5,2,4,3,7,1]=>[6,2,5,4,3,7,1]=>[1,7,3,4,5,2,6]=>[[1,2,4,5,7],[3],[6]]=>14 [6,5,2,4,7,1,3]=>[6,2,5,4,1,7,3]=>[3,7,1,4,5,2,6]=>[[1,2,5,7],[3,4],[6]]=>14 [6,5,2,4,7,3,1]=>[6,2,5,4,7,3,1]=>[1,3,7,4,5,2,6]=>[[1,2,3,5,7],[4],[6]]=>15 [6,5,2,7,1,3,4]=>[6,2,1,5,3,7,4]=>[4,7,3,5,1,2,6]=>[[1,2,7],[3,4],[5,6]]=>13 [6,5,2,7,1,4,3]=>[6,2,1,5,7,4,3]=>[3,4,7,5,1,2,6]=>[[1,2,3,7],[4,6],[5]]=>14 [6,5,2,7,3,1,4]=>[6,2,5,3,1,7,4]=>[4,7,1,3,5,2,6]=>[[1,2,5,7],[3,4],[6]]=>14 [6,5,2,7,3,4,1]=>[6,2,5,3,7,4,1]=>[1,4,7,3,5,2,6]=>[[1,2,3,7],[4,5],[6]]=>15 [6,5,2,7,4,1,3]=>[6,2,5,1,7,4,3]=>[3,4,7,1,5,2,6]=>[[1,2,3,7],[4,5],[6]]=>15 [6,5,2,7,4,3,1]=>[6,2,5,7,4,3,1]=>[1,3,4,7,5,2,6]=>[[1,2,3,4,7],[5],[6]]=>16 [6,5,3,1,2,4,7]=>[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>[[1,3,4],[2,6],[5],[7]]=>11 [6,5,3,1,2,7,4]=>[1,3,2,6,5,7,4]=>[4,7,5,6,2,3,1]=>[[1,2,4],[3,6],[5],[7]]=>12 [6,5,3,1,4,2,7]=>[1,3,6,5,4,2,7]=>[7,2,4,5,6,3,1]=>[[1,3,4,5],[2],[6],[7]]=>12 [6,5,3,1,4,7,2]=>[1,3,6,5,4,7,2]=>[2,7,4,5,6,3,1]=>[[1,2,4,5],[3],[6],[7]]=>13 [6,5,3,1,7,2,4]=>[1,3,6,5,2,7,4]=>[4,7,2,5,6,3,1]=>[[1,2,5],[3,4],[6],[7]]=>13 [6,5,3,1,7,4,2]=>[1,3,6,5,7,4,2]=>[2,4,7,5,6,3,1]=>[[1,2,3,5],[4],[6],[7]]=>14 [6,5,3,2,1,4,7]=>[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>[[1,3,4],[2,6,7],[5]]=>12 [6,5,3,2,1,7,4]=>[3,2,1,6,5,7,4]=>[4,7,5,6,1,2,3]=>[[1,2,4],[3,6,7],[5]]=>13 [6,5,3,2,4,1,7]=>[3,2,6,5,4,1,7]=>[7,1,4,5,6,2,3]=>[[1,3,4,5],[2,7],[6]]=>13 [6,5,3,2,4,7,1]=>[3,2,6,5,4,7,1]=>[1,7,4,5,6,2,3]=>[[1,2,4,5],[3,7],[6]]=>14 [6,5,3,2,7,1,4]=>[3,2,6,5,1,7,4]=>[4,7,1,5,6,2,3]=>[[1,2,5],[3,4,7],[6]]=>14 [6,5,3,2,7,4,1]=>[3,2,6,5,7,4,1]=>[1,4,7,5,6,2,3]=>[[1,2,3,5],[4,7],[6]]=>15 [6,5,3,4,1,2,7]=>[3,1,6,5,4,2,7]=>[7,2,4,5,6,1,3]=>[[1,3,4,5],[2,7],[6]]=>13 [6,5,3,4,1,7,2]=>[3,1,6,5,4,7,2]=>[2,7,4,5,6,1,3]=>[[1,2,4,5],[3,7],[6]]=>14 [6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>[7,1,2,4,5,6,3]=>[[1,3,4,5,6],[2],[7]]=>14 [6,5,3,4,2,7,1]=>[3,6,5,4,2,7,1]=>[1,7,2,4,5,6,3]=>[[1,2,4,5,6],[3],[7]]=>15 [6,5,3,4,7,1,2]=>[3,6,5,4,1,7,2]=>[2,7,1,4,5,6,3]=>[[1,2,5,6],[3,4],[7]]=>15 [6,5,3,4,7,2,1]=>[3,6,5,4,7,2,1]=>[1,2,7,4,5,6,3]=>[[1,2,3,5,6],[4],[7]]=>16 [6,5,3,7,1,2,4]=>[3,1,6,5,2,7,4]=>[4,7,2,5,6,1,3]=>[[1,2,5],[3,4],[6,7]]=>14 [6,5,3,7,1,4,2]=>[3,1,6,5,7,4,2]=>[2,4,7,5,6,1,3]=>[[1,2,3,5],[4,7],[6]]=>15 [6,5,3,7,2,1,4]=>[3,6,5,2,1,7,4]=>[4,7,1,2,5,6,3]=>[[1,2,5,6],[3,4],[7]]=>15 [6,5,3,7,2,4,1]=>[3,6,5,2,7,4,1]=>[1,4,7,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>16 [6,5,3,7,4,1,2]=>[3,6,5,1,7,4,2]=>[2,4,7,1,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>16 [6,5,3,7,4,2,1]=>[3,6,5,7,4,2,1]=>[1,2,4,7,5,6,3]=>[[1,2,3,4,6],[5],[7]]=>17 [6,5,4,1,2,3,7]=>[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>[[1,3,4,5],[2],[6],[7]]=>12 [6,5,4,1,2,7,3]=>[1,2,6,5,4,7,3]=>[3,7,4,5,6,2,1]=>[[1,2,4,5],[3],[6],[7]]=>13 [6,5,4,1,3,2,7]=>[6,1,5,4,3,2,7]=>[7,2,3,4,5,1,6]=>[[1,3,4,5,7],[2],[6]]=>13 [6,5,4,1,3,7,2]=>[6,1,5,4,3,7,2]=>[2,7,3,4,5,1,6]=>[[1,2,4,5,7],[3],[6]]=>14 [6,5,4,1,7,2,3]=>[6,1,5,4,2,7,3]=>[3,7,2,4,5,1,6]=>[[1,2,5,7],[3,4],[6]]=>14 [6,5,4,1,7,3,2]=>[6,1,5,4,7,3,2]=>[2,3,7,4,5,1,6]=>[[1,2,3,5,7],[4],[6]]=>15 [6,5,4,2,1,3,7]=>[2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]=>[[1,3,4,5],[2,7],[6]]=>13 [6,5,4,2,1,7,3]=>[2,1,6,5,4,7,3]=>[3,7,4,5,6,1,2]=>[[1,2,4,5],[3,7],[6]]=>14 [6,5,4,2,3,1,7]=>[2,6,5,4,3,1,7]=>[7,1,3,4,5,6,2]=>[[1,3,4,5,6],[2],[7]]=>14 [6,5,4,2,3,7,1]=>[2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2]=>[[1,2,4,5,6],[3],[7]]=>15 [6,5,4,2,7,1,3]=>[2,6,5,4,1,7,3]=>[3,7,1,4,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>15 [6,5,4,2,7,3,1]=>[2,6,5,4,7,3,1]=>[1,3,7,4,5,6,2]=>[[1,2,3,5,6],[4],[7]]=>16 [6,5,4,3,1,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[1,3,4,5,6],[2],[7]]=>14 [6,5,4,3,1,7,2]=>[1,6,5,4,3,7,2]=>[2,7,3,4,5,6,1]=>[[1,2,4,5,6],[3],[7]]=>15 [6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[1,3,4,5,6,7],[2]]=>15 [6,5,4,3,2,7,1]=>[6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6]=>[[1,2,4,5,6,7],[3]]=>16 [6,5,4,3,7,1,2]=>[6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6]=>[[1,2,5,6,7],[3,4]]=>16 [6,5,4,3,7,2,1]=>[6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6]=>[[1,2,3,5,6,7],[4]]=>17 [6,5,4,7,1,2,3]=>[1,6,5,4,2,7,3]=>[3,7,2,4,5,6,1]=>[[1,2,5,6],[3,4],[7]]=>15 [6,5,4,7,1,3,2]=>[1,6,5,4,7,3,2]=>[2,3,7,4,5,6,1]=>[[1,2,3,5,6],[4],[7]]=>16 [6,5,4,7,2,1,3]=>[6,5,4,2,1,7,3]=>[3,7,1,2,4,5,6]=>[[1,2,5,6,7],[3,4]]=>16 [6,5,4,7,2,3,1]=>[6,5,4,2,7,3,1]=>[1,3,7,2,4,5,6]=>[[1,2,3,6,7],[4,5]]=>17 [6,5,4,7,3,1,2]=>[6,5,4,1,7,3,2]=>[2,3,7,1,4,5,6]=>[[1,2,3,6,7],[4,5]]=>17 [6,5,4,7,3,2,1]=>[6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6]=>[[1,2,3,4,6,7],[5]]=>18 [6,5,7,1,2,3,4]=>[1,2,6,5,3,7,4]=>[4,7,3,5,6,2,1]=>[[1,2,5],[3,4],[6],[7]]=>13 [6,5,7,1,2,4,3]=>[1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1]=>[[1,2,3,5],[4],[6],[7]]=>14 [6,5,7,1,3,2,4]=>[6,1,5,3,2,7,4]=>[4,7,2,3,5,1,6]=>[[1,2,5,7],[3,4],[6]]=>14 [6,5,7,1,3,4,2]=>[6,1,5,3,7,4,2]=>[2,4,7,3,5,1,6]=>[[1,2,3,7],[4,5],[6]]=>15 [6,5,7,1,4,2,3]=>[6,1,5,2,7,4,3]=>[3,4,7,2,5,1,6]=>[[1,2,3,7],[4,5],[6]]=>15 [6,5,7,1,4,3,2]=>[6,1,5,7,4,3,2]=>[2,3,4,7,5,1,6]=>[[1,2,3,4,7],[5],[6]]=>16 [6,5,7,2,1,3,4]=>[2,1,6,5,3,7,4]=>[4,7,3,5,6,1,2]=>[[1,2,5],[3,4],[6,7]]=>14 [6,5,7,2,1,4,3]=>[2,1,6,5,7,4,3]=>[3,4,7,5,6,1,2]=>[[1,2,3,5],[4,7],[6]]=>15 [6,5,7,2,3,1,4]=>[2,6,5,3,1,7,4]=>[4,7,1,3,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>15 [6,5,7,2,3,4,1]=>[2,6,5,3,7,4,1]=>[1,4,7,3,5,6,2]=>[[1,2,3,6],[4,5],[7]]=>16 [6,5,7,2,4,1,3]=>[2,6,5,1,7,4,3]=>[3,4,7,1,5,6,2]=>[[1,2,3,6],[4,5],[7]]=>16 [6,5,7,2,4,3,1]=>[2,6,5,7,4,3,1]=>[1,3,4,7,5,6,2]=>[[1,2,3,4,6],[5],[7]]=>17 [6,5,7,3,1,2,4]=>[1,6,5,3,2,7,4]=>[4,7,2,3,5,6,1]=>[[1,2,5,6],[3,4],[7]]=>15 [6,5,7,3,1,4,2]=>[1,6,5,3,7,4,2]=>[2,4,7,3,5,6,1]=>[[1,2,3,6],[4,5],[7]]=>16 [6,5,7,3,2,1,4]=>[6,5,3,2,1,7,4]=>[4,7,1,2,3,5,6]=>[[1,2,5,6,7],[3,4]]=>16 [6,5,7,3,2,4,1]=>[6,5,3,2,7,4,1]=>[1,4,7,2,3,5,6]=>[[1,2,3,6,7],[4,5]]=>17 [6,5,7,3,4,1,2]=>[6,5,3,1,7,4,2]=>[2,4,7,1,3,5,6]=>[[1,2,3,7],[4,5,6]]=>17 [6,5,7,3,4,2,1]=>[6,5,3,7,4,2,1]=>[1,2,4,7,3,5,6]=>[[1,2,3,4,7],[5,6]]=>18 [6,5,7,4,1,2,3]=>[1,6,5,2,7,4,3]=>[3,4,7,2,5,6,1]=>[[1,2,3,6],[4,5],[7]]=>16 [6,5,7,4,1,3,2]=>[1,6,5,7,4,3,2]=>[2,3,4,7,5,6,1]=>[[1,2,3,4,6],[5],[7]]=>17 [6,5,7,4,2,1,3]=>[6,5,2,1,7,4,3]=>[3,4,7,1,2,5,6]=>[[1,2,3,7],[4,5,6]]=>17 [6,5,7,4,2,3,1]=>[6,5,2,7,4,3,1]=>[1,3,4,7,2,5,6]=>[[1,2,3,4,7],[5,6]]=>18 [6,5,7,4,3,1,2]=>[6,5,1,7,4,3,2]=>[2,3,4,7,1,5,6]=>[[1,2,3,4,7],[5,6]]=>18 [6,5,7,4,3,2,1]=>[6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6]=>[[1,2,3,4,5,7],[6]]=>19 [6,7,1,2,3,4,5]=>[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>10 [6,7,1,2,3,5,4]=>[1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>11 [6,7,1,2,4,3,5]=>[6,1,2,4,3,7,5]=>[5,7,3,4,2,1,6]=>[[1,2,7],[3,4],[5],[6]]=>11 [6,7,1,2,4,5,3]=>[6,1,2,4,7,5,3]=>[3,5,7,4,2,1,6]=>[[1,2,3],[4,7],[5],[6]]=>12 [6,7,1,2,5,3,4]=>[6,1,2,3,7,5,4]=>[4,5,7,3,2,1,6]=>[[1,2,3],[4,7],[5],[6]]=>12 [6,7,1,2,5,4,3]=>[6,7,1,2,5,4,3]=>[3,4,5,2,1,7,6]=>[[1,2,3,6],[4,7],[5]]=>13 [6,7,1,3,2,4,5]=>[3,1,2,6,4,7,5]=>[5,7,4,6,2,1,3]=>[[1,2],[3,4],[5,7],[6]]=>11 [6,7,1,3,2,5,4]=>[3,1,2,6,7,5,4]=>[4,5,7,6,2,1,3]=>[[1,2,3],[4,7],[5],[6]]=>12 [6,7,1,3,4,2,5]=>[1,6,3,4,2,7,5]=>[5,7,2,4,3,6,1]=>[[1,2,6],[3,4],[5],[7]]=>12 [6,7,1,3,4,5,2]=>[1,6,3,4,7,5,2]=>[2,5,7,4,3,6,1]=>[[1,2,3],[4,6],[5],[7]]=>13 [6,7,1,3,5,2,4]=>[3,6,1,2,7,5,4]=>[4,5,7,2,1,6,3]=>[[1,2,3],[4,6],[5,7]]=>13 [6,7,1,3,5,4,2]=>[1,6,7,3,5,4,2]=>[2,4,5,3,7,6,1]=>[[1,2,3,5],[4,6],[7]]=>14 [6,7,1,4,2,3,5]=>[1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1]=>[[1,2,6],[3,4],[5],[7]]=>12 [6,7,1,4,2,5,3]=>[1,6,2,4,7,5,3]=>[3,5,7,4,2,6,1]=>[[1,2,3],[4,6],[5],[7]]=>13 [6,7,1,4,3,2,5]=>[6,4,1,3,2,7,5]=>[5,7,2,3,1,4,6]=>[[1,2,6,7],[3,4],[5]]=>13 [6,7,1,4,3,5,2]=>[6,4,1,3,7,5,2]=>[2,5,7,3,1,4,6]=>[[1,2,3,7],[4,6],[5]]=>14 [6,7,1,4,5,2,3]=>[6,4,1,2,7,5,3]=>[3,5,7,2,1,4,6]=>[[1,2,3],[4,6,7],[5]]=>14 [6,7,1,4,5,3,2]=>[6,1,7,4,5,3,2]=>[2,3,5,4,7,1,6]=>[[1,2,3,5],[4,7],[6]]=>15 [6,7,1,5,2,3,4]=>[1,6,2,3,7,5,4]=>[4,5,7,3,2,6,1]=>[[1,2,3],[4,6],[5],[7]]=>13 [6,7,1,5,2,4,3]=>[1,6,7,2,5,4,3]=>[3,4,5,2,7,6,1]=>[[1,2,3,5],[4,6],[7]]=>14 [6,7,1,5,3,2,4]=>[6,3,1,2,7,5,4]=>[4,5,7,2,1,3,6]=>[[1,2,3],[4,6,7],[5]]=>14 [6,7,1,5,3,4,2]=>[6,1,7,3,5,4,2]=>[2,4,5,3,7,1,6]=>[[1,2,3,5],[4,7],[6]]=>15 [6,7,1,5,4,2,3]=>[6,1,7,2,5,4,3]=>[3,4,5,2,7,1,6]=>[[1,2,3,5],[4,7],[6]]=>15 [6,7,1,5,4,3,2]=>[6,7,5,1,4,3,2]=>[2,3,4,1,5,7,6]=>[[1,2,3,5,6],[4,7]]=>16 [6,7,2,1,3,4,5]=>[2,1,3,6,4,7,5]=>[5,7,4,6,3,1,2]=>[[1,2],[3,4],[5,7],[6]]=>11 [6,7,2,1,3,5,4]=>[2,1,3,6,7,5,4]=>[4,5,7,6,3,1,2]=>[[1,2,3],[4,7],[5],[6]]=>12 [6,7,2,1,4,3,5]=>[2,6,1,4,3,7,5]=>[5,7,3,4,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>12 [6,7,2,1,4,5,3]=>[2,6,1,4,7,5,3]=>[3,5,7,4,1,6,2]=>[[1,2,3],[4,6],[5,7]]=>13 [6,7,2,1,5,3,4]=>[2,6,1,3,7,5,4]=>[4,5,7,3,1,6,2]=>[[1,2,3],[4,6],[5,7]]=>13 [6,7,2,1,5,4,3]=>[2,6,7,1,5,4,3]=>[3,4,5,1,7,6,2]=>[[1,2,3,5],[4,6],[7]]=>14 [6,7,2,3,1,4,5]=>[2,3,1,6,4,7,5]=>[5,7,4,6,1,3,2]=>[[1,2],[3,4],[5,6],[7]]=>12 [6,7,2,3,1,5,4]=>[2,3,1,6,7,5,4]=>[4,5,7,6,1,3,2]=>[[1,2,3],[4,6],[5],[7]]=>13 [6,7,2,3,4,1,5]=>[2,3,6,4,1,7,5]=>[5,7,1,4,6,3,2]=>[[1,2,5],[3,4],[6],[7]]=>13 [6,7,2,3,4,5,1]=>[2,3,6,4,7,5,1]=>[1,5,7,4,6,3,2]=>[[1,2,3],[4,5],[6],[7]]=>14 [6,7,2,3,5,1,4]=>[2,3,6,1,7,5,4]=>[4,5,7,1,6,3,2]=>[[1,2,3],[4,5],[6],[7]]=>14 [6,7,2,3,5,4,1]=>[2,3,6,7,5,4,1]=>[1,4,5,7,6,3,2]=>[[1,2,3,4],[5],[6],[7]]=>15 [6,7,2,4,1,3,5]=>[6,2,1,4,3,7,5]=>[5,7,3,4,1,2,6]=>[[1,2,7],[3,4],[5,6]]=>13 [6,7,2,4,1,5,3]=>[6,2,1,4,7,5,3]=>[3,5,7,4,1,2,6]=>[[1,2,3],[4,6,7],[5]]=>14 [6,7,2,4,3,1,5]=>[6,2,4,3,1,7,5]=>[5,7,1,3,4,2,6]=>[[1,2,5,7],[3,4],[6]]=>14 [6,7,2,4,3,5,1]=>[6,2,4,3,7,5,1]=>[1,5,7,3,4,2,6]=>[[1,2,3,7],[4,5],[6]]=>15 [6,7,2,4,5,1,3]=>[6,2,4,1,7,5,3]=>[3,5,7,1,4,2,6]=>[[1,2,3],[4,5,7],[6]]=>15 [6,7,2,4,5,3,1]=>[6,2,4,7,5,3,1]=>[1,3,5,7,4,2,6]=>[[1,2,3,4],[5,7],[6]]=>16 [6,7,2,5,1,3,4]=>[6,2,1,3,7,5,4]=>[4,5,7,3,1,2,6]=>[[1,2,3],[4,6,7],[5]]=>14 [6,7,2,5,1,4,3]=>[6,2,7,1,5,4,3]=>[3,4,5,1,7,2,6]=>[[1,2,3,5],[4,6,7]]=>15 [6,7,2,5,3,1,4]=>[6,2,3,1,7,5,4]=>[4,5,7,1,3,2,6]=>[[1,2,3],[4,5,7],[6]]=>15 [6,7,2,5,3,4,1]=>[6,2,3,7,5,4,1]=>[1,4,5,7,3,2,6]=>[[1,2,3,4],[5,7],[6]]=>16 [6,7,2,5,4,1,3]=>[6,7,2,1,5,4,3]=>[3,4,5,1,2,7,6]=>[[1,2,3,6],[4,5,7]]=>16 [6,7,2,5,4,3,1]=>[6,7,2,5,4,3,1]=>[1,3,4,5,2,7,6]=>[[1,2,3,4,6],[5,7]]=>17 [6,7,3,1,2,4,5]=>[1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1]=>[[1,2],[3,4],[5,6],[7]]=>12 [6,7,3,1,2,5,4]=>[1,3,2,6,7,5,4]=>[4,5,7,6,2,3,1]=>[[1,2,3],[4,6],[5],[7]]=>13 [6,7,3,1,4,2,5]=>[1,3,6,4,2,7,5]=>[5,7,2,4,6,3,1]=>[[1,2,5],[3,4],[6],[7]]=>13 [6,7,3,1,4,5,2]=>[1,3,6,4,7,5,2]=>[2,5,7,4,6,3,1]=>[[1,2,3],[4,5],[6],[7]]=>14 [6,7,3,1,5,2,4]=>[1,3,6,2,7,5,4]=>[4,5,7,2,6,3,1]=>[[1,2,3],[4,5],[6],[7]]=>14 [6,7,3,1,5,4,2]=>[1,3,6,7,5,4,2]=>[2,4,5,7,6,3,1]=>[[1,2,3,4],[5],[6],[7]]=>15 [6,7,3,2,1,4,5]=>[3,2,1,6,4,7,5]=>[5,7,4,6,1,2,3]=>[[1,2,7],[3,4],[5,6]]=>13 [6,7,3,2,1,5,4]=>[3,2,1,6,7,5,4]=>[4,5,7,6,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>14 [6,7,3,2,4,1,5]=>[3,2,6,4,1,7,5]=>[5,7,1,4,6,2,3]=>[[1,2,5],[3,4],[6,7]]=>14 [6,7,3,2,4,5,1]=>[3,2,6,4,7,5,1]=>[1,5,7,4,6,2,3]=>[[1,2,3],[4,5],[6,7]]=>15 [6,7,3,2,5,1,4]=>[3,2,6,1,7,5,4]=>[4,5,7,1,6,2,3]=>[[1,2,3],[4,5,7],[6]]=>15 [6,7,3,2,5,4,1]=>[3,2,6,7,5,4,1]=>[1,4,5,7,6,2,3]=>[[1,2,3,4],[5,7],[6]]=>16 [6,7,3,4,1,2,5]=>[3,1,6,4,2,7,5]=>[5,7,2,4,6,1,3]=>[[1,2,5],[3,4],[6,7]]=>14 [6,7,3,4,1,5,2]=>[3,1,6,4,7,5,2]=>[2,5,7,4,6,1,3]=>[[1,2,3],[4,5],[6,7]]=>15 [6,7,3,4,2,1,5]=>[3,6,4,2,1,7,5]=>[5,7,1,2,4,6,3]=>[[1,2,5,6],[3,4],[7]]=>15 [6,7,3,4,2,5,1]=>[3,6,4,2,7,5,1]=>[1,5,7,2,4,6,3]=>[[1,2,3,6],[4,5],[7]]=>16 [6,7,3,4,5,1,2]=>[3,6,4,1,7,5,2]=>[2,5,7,1,4,6,3]=>[[1,2,3],[4,5,6],[7]]=>16 [6,7,3,4,5,2,1]=>[3,6,4,7,5,2,1]=>[1,2,5,7,4,6,3]=>[[1,2,3,4],[5,6],[7]]=>17 [6,7,3,5,1,2,4]=>[3,1,6,2,7,5,4]=>[4,5,7,2,6,1,3]=>[[1,2,3],[4,5],[6,7]]=>15 [6,7,3,5,1,4,2]=>[3,1,6,7,5,4,2]=>[2,4,5,7,6,1,3]=>[[1,2,3,4],[5,7],[6]]=>16 [6,7,3,5,2,1,4]=>[3,6,2,1,7,5,4]=>[4,5,7,1,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>16 [6,7,3,5,2,4,1]=>[3,6,2,7,5,4,1]=>[1,4,5,7,2,6,3]=>[[1,2,3,4],[5,6],[7]]=>17 [6,7,3,5,4,1,2]=>[3,6,1,7,5,4,2]=>[2,4,5,7,1,6,3]=>[[1,2,3,4],[5,6],[7]]=>17 [6,7,3,5,4,2,1]=>[3,6,7,5,4,2,1]=>[1,2,4,5,7,6,3]=>[[1,2,3,4,5],[6],[7]]=>18 [6,7,4,1,2,3,5]=>[1,2,6,4,3,7,5]=>[5,7,3,4,6,2,1]=>[[1,2,5],[3,4],[6],[7]]=>13 [6,7,4,1,2,5,3]=>[1,2,6,4,7,5,3]=>[3,5,7,4,6,2,1]=>[[1,2,3],[4,5],[6],[7]]=>14 [6,7,4,1,3,2,5]=>[6,1,4,3,2,7,5]=>[5,7,2,3,4,1,6]=>[[1,2,5,7],[3,4],[6]]=>14 [6,7,4,1,3,5,2]=>[6,1,4,3,7,5,2]=>[2,5,7,3,4,1,6]=>[[1,2,3,7],[4,5],[6]]=>15 [6,7,4,1,5,2,3]=>[6,1,4,2,7,5,3]=>[3,5,7,2,4,1,6]=>[[1,2,3],[4,5,7],[6]]=>15 [6,7,4,1,5,3,2]=>[6,1,4,7,5,3,2]=>[2,3,5,7,4,1,6]=>[[1,2,3,4],[5,7],[6]]=>16 [6,7,4,2,1,3,5]=>[2,1,6,4,3,7,5]=>[5,7,3,4,6,1,2]=>[[1,2,5],[3,4],[6,7]]=>14 [6,7,4,2,1,5,3]=>[2,1,6,4,7,5,3]=>[3,5,7,4,6,1,2]=>[[1,2,3],[4,5],[6,7]]=>15 [6,7,4,2,3,1,5]=>[2,6,4,3,1,7,5]=>[5,7,1,3,4,6,2]=>[[1,2,5,6],[3,4],[7]]=>15 [6,7,4,2,3,5,1]=>[2,6,4,3,7,5,1]=>[1,5,7,3,4,6,2]=>[[1,2,3,6],[4,5],[7]]=>16 [6,7,4,2,5,1,3]=>[2,6,4,1,7,5,3]=>[3,5,7,1,4,6,2]=>[[1,2,3],[4,5,6],[7]]=>16 [6,7,4,2,5,3,1]=>[2,6,4,7,5,3,1]=>[1,3,5,7,4,6,2]=>[[1,2,3,4],[5,6],[7]]=>17 [6,7,4,3,1,2,5]=>[1,6,4,3,2,7,5]=>[5,7,2,3,4,6,1]=>[[1,2,5,6],[3,4],[7]]=>15 [6,7,4,3,1,5,2]=>[1,6,4,3,7,5,2]=>[2,5,7,3,4,6,1]=>[[1,2,3,6],[4,5],[7]]=>16 [6,7,4,3,2,1,5]=>[6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6]=>[[1,2,5,6,7],[3,4]]=>16 [6,7,4,3,2,5,1]=>[6,4,3,2,7,5,1]=>[1,5,7,2,3,4,6]=>[[1,2,3,6,7],[4,5]]=>17 [6,7,4,3,5,1,2]=>[6,4,3,1,7,5,2]=>[2,5,7,1,3,4,6]=>[[1,2,3,7],[4,5,6]]=>17 [6,7,4,3,5,2,1]=>[6,4,3,7,5,2,1]=>[1,2,5,7,3,4,6]=>[[1,2,3,4,7],[5,6]]=>18 [6,7,4,5,1,2,3]=>[1,6,4,2,7,5,3]=>[3,5,7,2,4,6,1]=>[[1,2,3],[4,5,6],[7]]=>16 [6,7,4,5,1,3,2]=>[1,6,4,7,5,3,2]=>[2,3,5,7,4,6,1]=>[[1,2,3,4],[5,6],[7]]=>17 [6,7,4,5,2,1,3]=>[6,4,2,1,7,5,3]=>[3,5,7,1,2,4,6]=>[[1,2,3,7],[4,5,6]]=>17 [6,7,4,5,2,3,1]=>[6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6]=>[[1,2,3,4],[5,6,7]]=>18 [6,7,4,5,3,1,2]=>[6,4,1,7,5,3,2]=>[2,3,5,7,1,4,6]=>[[1,2,3,4],[5,6,7]]=>18 [6,7,4,5,3,2,1]=>[6,4,7,5,3,2,1]=>[1,2,3,5,7,4,6]=>[[1,2,3,4,5],[6,7]]=>19 [6,7,5,1,2,3,4]=>[1,2,6,3,7,5,4]=>[4,5,7,3,6,2,1]=>[[1,2,3],[4,5],[6],[7]]=>14 [6,7,5,1,2,4,3]=>[1,2,6,7,5,4,3]=>[3,4,5,7,6,2,1]=>[[1,2,3,4],[5],[6],[7]]=>15 [6,7,5,1,3,2,4]=>[6,1,3,2,7,5,4]=>[4,5,7,2,3,1,6]=>[[1,2,3],[4,5,7],[6]]=>15 [6,7,5,1,3,4,2]=>[6,1,3,7,5,4,2]=>[2,4,5,7,3,1,6]=>[[1,2,3,4],[5,7],[6]]=>16 [6,7,5,1,4,2,3]=>[6,1,2,7,5,4,3]=>[3,4,5,7,2,1,6]=>[[1,2,3,4],[5,7],[6]]=>16 [6,7,5,1,4,3,2]=>[6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6]=>[[1,2,3,4,6],[5,7]]=>17 [6,7,5,2,1,3,4]=>[2,1,6,3,7,5,4]=>[4,5,7,3,6,1,2]=>[[1,2,3],[4,5],[6,7]]=>15 [6,7,5,2,1,4,3]=>[2,1,6,7,5,4,3]=>[3,4,5,7,6,1,2]=>[[1,2,3,4],[5,7],[6]]=>16 [6,7,5,2,3,1,4]=>[2,6,3,1,7,5,4]=>[4,5,7,1,3,6,2]=>[[1,2,3],[4,5,6],[7]]=>16 [6,7,5,2,3,4,1]=>[2,6,3,7,5,4,1]=>[1,4,5,7,3,6,2]=>[[1,2,3,4],[5,6],[7]]=>17 [6,7,5,2,4,1,3]=>[2,6,1,7,5,4,3]=>[3,4,5,7,1,6,2]=>[[1,2,3,4],[5,6],[7]]=>17 [6,7,5,2,4,3,1]=>[2,6,7,5,4,3,1]=>[1,3,4,5,7,6,2]=>[[1,2,3,4,5],[6],[7]]=>18 [6,7,5,3,1,2,4]=>[1,6,3,2,7,5,4]=>[4,5,7,2,3,6,1]=>[[1,2,3],[4,5,6],[7]]=>16 [6,7,5,3,1,4,2]=>[1,6,3,7,5,4,2]=>[2,4,5,7,3,6,1]=>[[1,2,3,4],[5,6],[7]]=>17 [6,7,5,3,2,1,4]=>[6,3,2,1,7,5,4]=>[4,5,7,1,2,3,6]=>[[1,2,3,7],[4,5,6]]=>17 [6,7,5,3,2,4,1]=>[6,3,2,7,5,4,1]=>[1,4,5,7,2,3,6]=>[[1,2,3,4],[5,6,7]]=>18 [6,7,5,3,4,1,2]=>[6,3,1,7,5,4,2]=>[2,4,5,7,1,3,6]=>[[1,2,3,4],[5,6,7]]=>18 [6,7,5,3,4,2,1]=>[6,3,7,5,4,2,1]=>[1,2,4,5,7,3,6]=>[[1,2,3,4,5],[6,7]]=>19 [6,7,5,4,1,2,3]=>[1,6,2,7,5,4,3]=>[3,4,5,7,2,6,1]=>[[1,2,3,4],[5,6],[7]]=>17 [6,7,5,4,1,3,2]=>[1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1]=>[[1,2,3,4,5],[6],[7]]=>18 [6,7,5,4,2,1,3]=>[6,2,1,7,5,4,3]=>[3,4,5,7,1,2,6]=>[[1,2,3,4],[5,6,7]]=>18 [6,7,5,4,2,3,1]=>[6,2,7,5,4,3,1]=>[1,3,4,5,7,2,6]=>[[1,2,3,4,5],[6,7]]=>19 [6,7,5,4,3,1,2]=>[6,1,7,5,4,3,2]=>[2,3,4,5,7,1,6]=>[[1,2,3,4,5],[6,7]]=>19 [6,7,5,4,3,2,1]=>[6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6]=>[[1,2,3,4,5,6],[7]]=>20 [7,1,2,3,4,5,6]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7]]=>6 [7,1,2,3,4,6,5]=>[7,1,2,3,4,6,5]=>[5,6,4,3,2,1,7]=>[[1,2,7],[3],[4],[5],[6]]=>7 [7,1,2,3,5,4,6]=>[5,1,2,3,4,7,6]=>[6,7,4,3,2,1,5]=>[[1,2],[3,7],[4],[5],[6]]=>7 [7,1,2,3,5,6,4]=>[1,7,2,3,5,6,4]=>[4,6,5,3,2,7,1]=>[[1,2,6],[3],[4],[5],[7]]=>8 [7,1,2,3,6,4,5]=>[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>[[1,2,6],[3],[4],[5],[7]]=>8 [7,1,2,3,6,5,4]=>[7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7]=>[[1,2,6,7],[3],[4],[5]]=>9 [7,1,2,4,3,5,6]=>[4,1,2,3,5,7,6]=>[6,7,5,3,2,1,4]=>[[1,2],[3,7],[4],[5],[6]]=>7 [7,1,2,4,3,6,5]=>[4,7,1,2,3,6,5]=>[5,6,3,2,1,7,4]=>[[1,2,6],[3,7],[4],[5]]=>8 [7,1,2,4,5,3,6]=>[4,5,1,2,3,7,6]=>[6,7,3,2,1,5,4]=>[[1,2],[3,6],[4,7],[5]]=>8 [7,1,2,4,5,6,3]=>[1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>9 [7,1,2,4,6,3,5]=>[7,4,1,2,3,6,5]=>[5,6,3,2,1,4,7]=>[[1,2,7],[3,6],[4],[5]]=>9 [7,1,2,4,6,5,3]=>[7,1,6,2,4,5,3]=>[3,5,4,2,6,1,7]=>[[1,2,5,7],[3],[4],[6]]=>10 [7,1,2,5,3,4,6]=>[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>[[1,2],[3,6],[4],[5],[7]]=>8 [7,1,2,5,3,6,4]=>[1,2,7,3,5,6,4]=>[4,6,5,3,7,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>9 [7,1,2,5,4,3,6]=>[5,4,1,2,3,7,6]=>[6,7,3,2,1,4,5]=>[[1,2,7],[3,6],[4],[5]]=>9 [7,1,2,5,4,6,3]=>[7,1,5,2,4,6,3]=>[3,6,4,2,5,1,7]=>[[1,2,5,7],[3],[4],[6]]=>10 [7,1,2,5,6,3,4]=>[7,1,5,2,3,6,4]=>[4,6,3,2,5,1,7]=>[[1,2,7],[3,5],[4],[6]]=>10 [7,1,2,5,6,4,3]=>[5,7,6,1,2,4,3]=>[3,4,2,1,6,7,5]=>[[1,2,5,6],[3,7],[4]]=>11 [7,1,2,6,3,4,5]=>[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>9 [7,1,2,6,3,5,4]=>[7,1,6,2,3,5,4]=>[4,5,3,2,6,1,7]=>[[1,2,5,7],[3],[4],[6]]=>10 [7,1,2,6,4,3,5]=>[7,1,4,2,3,6,5]=>[5,6,3,2,4,1,7]=>[[1,2,7],[3,5],[4],[6]]=>10 [7,1,2,6,4,5,3]=>[1,7,6,2,4,5,3]=>[3,5,4,2,6,7,1]=>[[1,2,5,6],[3],[4],[7]]=>11 [7,1,2,6,5,3,4]=>[1,7,6,2,3,5,4]=>[4,5,3,2,6,7,1]=>[[1,2,5,6],[3],[4],[7]]=>11 [7,1,2,6,5,4,3]=>[7,6,5,1,2,4,3]=>[3,4,2,1,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>12 [7,1,3,2,4,5,6]=>[3,1,2,4,5,7,6]=>[6,7,5,4,2,1,3]=>[[1,2],[3,7],[4],[5],[6]]=>7 [7,1,3,2,4,6,5]=>[3,7,1,2,4,6,5]=>[5,6,4,2,1,7,3]=>[[1,2,6],[3,7],[4],[5]]=>8 [7,1,3,2,5,4,6]=>[3,5,1,2,4,7,6]=>[6,7,4,2,1,5,3]=>[[1,2],[3,6],[4,7],[5]]=>8 [7,1,3,2,5,6,4]=>[7,3,1,2,5,6,4]=>[4,6,5,2,1,3,7]=>[[1,2,7],[3,6],[4],[5]]=>9 [7,1,3,2,6,4,5]=>[7,3,1,2,4,6,5]=>[5,6,4,2,1,3,7]=>[[1,2,7],[3,6],[4],[5]]=>9 [7,1,3,2,6,5,4]=>[7,3,6,1,2,5,4]=>[4,5,2,1,6,3,7]=>[[1,2,5,7],[3,6],[4]]=>10 [7,1,3,4,2,5,6]=>[3,4,1,2,5,7,6]=>[6,7,5,2,1,4,3]=>[[1,2],[3,6],[4,7],[5]]=>8 [7,1,3,4,2,6,5]=>[3,4,7,1,2,6,5]=>[5,6,2,1,7,4,3]=>[[1,2,5],[3,6],[4,7]]=>9 [7,1,3,4,5,2,6]=>[3,4,5,1,2,7,6]=>[6,7,2,1,5,4,3]=>[[1,2],[3,5],[4,6],[7]]=>9 [7,1,3,4,5,6,2]=>[1,3,4,7,5,6,2]=>[2,6,5,7,4,3,1]=>[[1,2,4],[3],[5],[6],[7]]=>10 [7,1,3,4,6,2,5]=>[7,3,4,1,2,6,5]=>[5,6,2,1,4,3,7]=>[[1,2,7],[3,5],[4,6]]=>10 [7,1,3,4,6,5,2]=>[7,1,3,6,4,5,2]=>[2,5,4,6,3,1,7]=>[[1,2,4,7],[3],[5],[6]]=>11 [7,1,3,5,2,4,6]=>[5,3,1,2,4,7,6]=>[6,7,4,2,1,3,5]=>[[1,2,7],[3,6],[4],[5]]=>9 [7,1,3,5,2,6,4]=>[7,1,3,2,5,6,4]=>[4,6,5,2,3,1,7]=>[[1,2,7],[3,5],[4],[6]]=>10 [7,1,3,5,4,2,6]=>[5,3,4,1,2,7,6]=>[6,7,2,1,4,3,5]=>[[1,2,7],[3,5],[4,6]]=>10 [7,1,3,5,4,6,2]=>[7,1,3,5,4,6,2]=>[2,6,4,5,3,1,7]=>[[1,2,4,7],[3],[5],[6]]=>11 [7,1,3,5,6,2,4]=>[3,7,5,1,2,6,4]=>[4,6,2,1,5,7,3]=>[[1,2,6],[3,5],[4,7]]=>11 [7,1,3,5,6,4,2]=>[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>[[1,2,4,6],[3,5],[7]]=>12 [7,1,3,6,2,4,5]=>[7,1,3,2,4,6,5]=>[5,6,4,2,3,1,7]=>[[1,2,7],[3,5],[4],[6]]=>10 [7,1,3,6,2,5,4]=>[3,7,6,1,2,5,4]=>[4,5,2,1,6,7,3]=>[[1,2,5,6],[3,7],[4]]=>11 [7,1,3,6,4,2,5]=>[3,7,4,1,2,6,5]=>[5,6,2,1,4,7,3]=>[[1,2,6],[3,5],[4,7]]=>11 [7,1,3,6,4,5,2]=>[1,7,3,6,4,5,2]=>[2,5,4,6,3,7,1]=>[[1,2,4,6],[3],[5],[7]]=>12 [7,1,3,6,5,2,4]=>[7,6,3,1,2,5,4]=>[4,5,2,1,3,6,7]=>[[1,2,6,7],[3,5],[4]]=>12 [7,1,3,6,5,4,2]=>[7,6,1,5,3,4,2]=>[2,4,3,5,1,6,7]=>[[1,2,4,6,7],[3],[5]]=>13 [7,1,4,2,3,5,6]=>[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>[[1,2],[3,6],[4],[5],[7]]=>8 [7,1,4,2,3,6,5]=>[1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1]=>[[1,2,5],[3,6],[4],[7]]=>9 [7,1,4,2,5,3,6]=>[1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1]=>[[1,2],[3,5],[4,6],[7]]=>9 [7,1,4,2,5,6,3]=>[1,2,4,7,5,6,3]=>[3,6,5,7,4,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>10 [7,1,4,2,6,3,5]=>[4,1,7,2,3,6,5]=>[5,6,3,2,7,1,4]=>[[1,2,5],[3,7],[4],[6]]=>10 [7,1,4,2,6,5,3]=>[7,1,2,6,4,5,3]=>[3,5,4,6,2,1,7]=>[[1,2,4,7],[3],[5],[6]]=>11 [7,1,4,3,2,5,6]=>[4,3,1,2,5,7,6]=>[6,7,5,2,1,3,4]=>[[1,2,7],[3,6],[4],[5]]=>9 [7,1,4,3,2,6,5]=>[4,3,7,1,2,6,5]=>[5,6,2,1,7,3,4]=>[[1,2,5],[3,6,7],[4]]=>10 [7,1,4,3,5,2,6]=>[4,3,5,1,2,7,6]=>[6,7,2,1,5,3,4]=>[[1,2,7],[3,5],[4,6]]=>10 [7,1,4,3,5,6,2]=>[4,1,3,7,5,6,2]=>[2,6,5,7,3,1,4]=>[[1,2,4],[3,7],[5],[6]]=>11 [7,1,4,3,6,2,5]=>[4,7,3,1,2,6,5]=>[5,6,2,1,3,7,4]=>[[1,2,6],[3,5,7],[4]]=>11 [7,1,4,3,6,5,2]=>[1,7,4,6,3,5,2]=>[2,5,3,6,4,7,1]=>[[1,2,4,6],[3,5],[7]]=>12 [7,1,4,5,2,3,6]=>[4,1,5,2,3,7,6]=>[6,7,3,2,5,1,4]=>[[1,2],[3,5],[4,7],[6]]=>10 [7,1,4,5,2,6,3]=>[4,1,2,7,5,6,3]=>[3,6,5,7,2,1,4]=>[[1,2,4],[3,7],[5],[6]]=>11 [7,1,4,5,3,2,6]=>[4,5,3,1,2,7,6]=>[6,7,2,1,3,5,4]=>[[1,2,6],[3,5],[4,7]]=>11 [7,1,4,5,3,6,2]=>[1,7,4,5,3,6,2]=>[2,6,3,5,4,7,1]=>[[1,2,4,6],[3],[5],[7]]=>12 [7,1,4,5,6,2,3]=>[1,7,4,5,2,6,3]=>[3,6,2,5,4,7,1]=>[[1,2,6],[3,4],[5],[7]]=>12 [7,1,4,5,6,3,2]=>[4,5,7,6,1,3,2]=>[2,3,1,6,7,5,4]=>[[1,2,4,5],[3,6],[7]]=>13 [7,1,4,6,2,3,5]=>[1,7,4,2,3,6,5]=>[5,6,3,2,4,7,1]=>[[1,2,6],[3,5],[4],[7]]=>11 [7,1,4,6,2,5,3]=>[1,7,4,6,2,5,3]=>[3,5,2,6,4,7,1]=>[[1,2,4,6],[3,5],[7]]=>12 [7,1,4,6,3,2,5]=>[7,4,3,1,2,6,5]=>[5,6,2,1,3,4,7]=>[[1,2,6,7],[3,5],[4]]=>12 [7,1,4,6,3,5,2]=>[7,6,1,4,3,5,2]=>[2,5,3,4,1,6,7]=>[[1,2,4,6,7],[3],[5]]=>13 [7,1,4,6,5,2,3]=>[7,6,1,4,2,5,3]=>[3,5,2,4,1,6,7]=>[[1,2,6,7],[3,4],[5]]=>13 [7,1,4,6,5,3,2]=>[7,4,6,5,1,3,2]=>[2,3,1,5,6,4,7]=>[[1,2,4,5,7],[3,6]]=>14 [7,1,5,2,3,4,6]=>[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>9 [7,1,5,2,3,6,4]=>[1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>10 [7,1,5,2,4,3,6]=>[5,1,4,2,3,7,6]=>[6,7,3,2,4,1,5]=>[[1,2,7],[3,5],[4],[6]]=>10 [7,1,5,2,4,6,3]=>[7,1,2,5,4,6,3]=>[3,6,4,5,2,1,7]=>[[1,2,4,7],[3],[5],[6]]=>11 [7,1,5,2,6,3,4]=>[7,1,2,5,3,6,4]=>[4,6,3,5,2,1,7]=>[[1,2,7],[3,4],[5],[6]]=>11 [7,1,5,2,6,4,3]=>[1,7,5,6,2,4,3]=>[3,4,2,6,5,7,1]=>[[1,2,4,6],[3,5],[7]]=>12 [7,1,5,3,2,4,6]=>[5,1,3,2,4,7,6]=>[6,7,4,2,3,1,5]=>[[1,2,7],[3,5],[4],[6]]=>10 [7,1,5,3,2,6,4]=>[3,1,2,7,5,6,4]=>[4,6,5,7,2,1,3]=>[[1,2,4],[3,7],[5],[6]]=>11 [7,1,5,3,4,2,6]=>[3,5,4,1,2,7,6]=>[6,7,2,1,4,5,3]=>[[1,2,6],[3,5],[4,7]]=>11 [7,1,5,3,4,6,2]=>[1,7,3,5,4,6,2]=>[2,6,4,5,3,7,1]=>[[1,2,4,6],[3],[5],[7]]=>12 [7,1,5,3,6,2,4]=>[1,7,3,5,2,6,4]=>[4,6,2,5,3,7,1]=>[[1,2,6],[3,4],[5],[7]]=>12 [7,1,5,3,6,4,2]=>[1,5,7,6,3,4,2]=>[2,4,3,6,7,5,1]=>[[1,2,4,5],[3,6],[7]]=>13 [7,1,5,4,2,3,6]=>[1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1]=>[[1,2,6],[3,5],[4],[7]]=>11 [7,1,5,4,2,6,3]=>[1,7,2,5,4,6,3]=>[3,6,4,5,2,7,1]=>[[1,2,4,6],[3],[5],[7]]=>12 [7,1,5,4,3,2,6]=>[5,4,3,1,2,7,6]=>[6,7,2,1,3,4,5]=>[[1,2,6,7],[3,5],[4]]=>12 [7,1,5,4,3,6,2]=>[7,5,1,4,3,6,2]=>[2,6,3,4,1,5,7]=>[[1,2,4,6,7],[3],[5]]=>13 [7,1,5,4,6,2,3]=>[7,5,1,4,2,6,3]=>[3,6,2,4,1,5,7]=>[[1,2,6,7],[3,4],[5]]=>13 [7,1,5,4,6,3,2]=>[5,4,7,6,1,3,2]=>[2,3,1,6,7,4,5]=>[[1,2,4,5],[3,6,7]]=>14 [7,1,5,6,2,3,4]=>[1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1]=>[[1,2,6],[3,4],[5],[7]]=>12 [7,1,5,6,2,4,3]=>[1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1]=>[[1,2,4,5],[3,6],[7]]=>13 [7,1,5,6,3,2,4]=>[7,5,1,3,2,6,4]=>[4,6,2,3,1,5,7]=>[[1,2,6,7],[3,4],[5]]=>13 [7,1,5,6,3,4,2]=>[5,1,7,6,3,4,2]=>[2,4,3,6,7,1,5]=>[[1,2,4,5],[3,7],[6]]=>14 [7,1,5,6,4,2,3]=>[5,1,7,6,2,4,3]=>[3,4,2,6,7,1,5]=>[[1,2,4,5],[3,7],[6]]=>14 [7,1,5,6,4,3,2]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[1,2,4,5,6],[3,7]]=>15 [7,1,6,2,3,4,5]=>[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>10 [7,1,6,2,3,5,4]=>[7,1,2,6,3,5,4]=>[4,5,3,6,2,1,7]=>[[1,2,4,7],[3],[5],[6]]=>11 [7,1,6,2,4,3,5]=>[7,1,2,4,3,6,5]=>[5,6,3,4,2,1,7]=>[[1,2,7],[3,4],[5],[6]]=>11 [7,1,6,2,4,5,3]=>[1,7,2,6,4,5,3]=>[3,5,4,6,2,7,1]=>[[1,2,4,6],[3],[5],[7]]=>12 [7,1,6,2,5,3,4]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[[1,2,4,6],[3],[5],[7]]=>12 [7,1,6,2,5,4,3]=>[7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7]=>[[1,2,4,6,7],[3],[5]]=>13 [7,1,6,3,2,4,5]=>[3,1,2,7,4,6,5]=>[5,6,4,7,2,1,3]=>[[1,2,4],[3,7],[5],[6]]=>11 [7,1,6,3,2,5,4]=>[1,7,3,6,2,5,4]=>[4,5,2,6,3,7,1]=>[[1,2,4,6],[3,5],[7]]=>12 [7,1,6,3,4,2,5]=>[1,7,3,4,2,6,5]=>[5,6,2,4,3,7,1]=>[[1,2,6],[3,4],[5],[7]]=>12 [7,1,6,3,4,5,2]=>[1,3,7,6,4,5,2]=>[2,5,4,6,7,3,1]=>[[1,2,4,5],[3],[6],[7]]=>13 [7,1,6,3,5,2,4]=>[7,6,1,3,2,5,4]=>[4,5,2,3,1,6,7]=>[[1,2,6,7],[3,4],[5]]=>13 [7,1,6,3,5,4,2]=>[7,1,6,5,3,4,2]=>[2,4,3,5,6,1,7]=>[[1,2,4,5,7],[3],[6]]=>14 [7,1,6,4,2,3,5]=>[1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1]=>[[1,2,6],[3,4],[5],[7]]=>12 [7,1,6,4,2,5,3]=>[1,2,7,6,4,5,3]=>[3,5,4,6,7,2,1]=>[[1,2,4,5],[3],[6],[7]]=>13 [7,1,6,4,3,2,5]=>[7,4,1,3,2,6,5]=>[5,6,2,3,1,4,7]=>[[1,2,6,7],[3,4],[5]]=>13 [7,1,6,4,3,5,2]=>[7,1,6,4,3,5,2]=>[2,5,3,4,6,1,7]=>[[1,2,4,5,7],[3],[6]]=>14 [7,1,6,4,5,2,3]=>[7,1,6,4,2,5,3]=>[3,5,2,4,6,1,7]=>[[1,2,5,7],[3,4],[6]]=>14 [7,1,6,4,5,3,2]=>[4,7,6,5,1,3,2]=>[2,3,1,5,6,7,4]=>[[1,2,4,5,6],[3,7]]=>15 [7,1,6,5,2,3,4]=>[1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1]=>[[1,2,4,5],[3],[6],[7]]=>13 [7,1,6,5,2,4,3]=>[7,1,6,5,2,4,3]=>[3,4,2,5,6,1,7]=>[[1,2,4,5,7],[3],[6]]=>14 [7,1,6,5,3,2,4]=>[7,1,6,3,2,5,4]=>[4,5,2,3,6,1,7]=>[[1,2,5,7],[3,4],[6]]=>14 [7,1,6,5,3,4,2]=>[1,7,6,5,3,4,2]=>[2,4,3,5,6,7,1]=>[[1,2,4,5,6],[3],[7]]=>15 [7,1,6,5,4,2,3]=>[1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1]=>[[1,2,4,5,6],[3],[7]]=>15 [7,1,6,5,4,3,2]=>[7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>16 [7,2,1,3,4,5,6]=>[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>7 [7,2,1,3,4,6,5]=>[2,7,1,3,4,6,5]=>[5,6,4,3,1,7,2]=>[[1,2,6],[3,7],[4],[5]]=>8 [7,2,1,3,5,4,6]=>[2,5,1,3,4,7,6]=>[6,7,4,3,1,5,2]=>[[1,2],[3,6],[4,7],[5]]=>8 [7,2,1,3,5,6,4]=>[7,2,1,3,5,6,4]=>[4,6,5,3,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>9 [7,2,1,3,6,4,5]=>[7,2,1,3,4,6,5]=>[5,6,4,3,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>9 [7,2,1,3,6,5,4]=>[7,2,6,1,3,5,4]=>[4,5,3,1,6,2,7]=>[[1,2,5,7],[3,6],[4]]=>10 [7,2,1,4,3,5,6]=>[2,4,1,3,5,7,6]=>[6,7,5,3,1,4,2]=>[[1,2],[3,6],[4,7],[5]]=>8 [7,2,1,4,3,6,5]=>[2,4,7,1,3,6,5]=>[5,6,3,1,7,4,2]=>[[1,2,5],[3,6],[4,7]]=>9 [7,2,1,4,5,3,6]=>[2,4,5,1,3,7,6]=>[6,7,3,1,5,4,2]=>[[1,2],[3,5],[4,6],[7]]=>9 [7,2,1,4,5,6,3]=>[2,1,7,4,5,6,3]=>[3,6,5,4,7,1,2]=>[[1,2,5],[3,7],[4],[6]]=>10 [7,2,1,4,6,3,5]=>[7,2,4,1,3,6,5]=>[5,6,3,1,4,2,7]=>[[1,2,7],[3,5],[4,6]]=>10 [7,2,1,4,6,5,3]=>[2,7,6,1,4,5,3]=>[3,5,4,1,6,7,2]=>[[1,2,5,6],[3,7],[4]]=>11 [7,2,1,5,3,4,6]=>[5,2,1,3,4,7,6]=>[6,7,4,3,1,2,5]=>[[1,2,7],[3,6],[4],[5]]=>9 [7,2,1,5,3,6,4]=>[2,1,7,3,5,6,4]=>[4,6,5,3,7,1,2]=>[[1,2,5],[3,7],[4],[6]]=>10 [7,2,1,5,4,3,6]=>[5,2,4,1,3,7,6]=>[6,7,3,1,4,2,5]=>[[1,2,7],[3,5],[4,6]]=>10 [7,2,1,5,4,6,3]=>[2,7,5,1,4,6,3]=>[3,6,4,1,5,7,2]=>[[1,2,5,6],[3,7],[4]]=>11 [7,2,1,5,6,3,4]=>[2,7,5,1,3,6,4]=>[4,6,3,1,5,7,2]=>[[1,2,6],[3,5],[4,7]]=>11 [7,2,1,5,6,4,3]=>[2,7,5,6,1,4,3]=>[3,4,1,6,5,7,2]=>[[1,2,4,6],[3,5],[7]]=>12 [7,2,1,6,3,4,5]=>[2,1,7,3,4,6,5]=>[5,6,4,3,7,1,2]=>[[1,2,5],[3,7],[4],[6]]=>10 [7,2,1,6,3,5,4]=>[2,7,6,1,3,5,4]=>[4,5,3,1,6,7,2]=>[[1,2,5,6],[3,7],[4]]=>11 [7,2,1,6,4,3,5]=>[2,7,4,1,3,6,5]=>[5,6,3,1,4,7,2]=>[[1,2,6],[3,5],[4,7]]=>11 [7,2,1,6,4,5,3]=>[7,6,2,1,4,5,3]=>[3,5,4,1,2,6,7]=>[[1,2,6,7],[3,5],[4]]=>12 [7,2,1,6,5,3,4]=>[7,6,2,1,3,5,4]=>[4,5,3,1,2,6,7]=>[[1,2,6,7],[3,5],[4]]=>12 [7,2,1,6,5,4,3]=>[7,6,2,5,1,4,3]=>[3,4,1,5,2,6,7]=>[[1,2,4,6,7],[3,5]]=>13 [7,2,3,1,4,5,6]=>[2,3,1,4,5,7,6]=>[6,7,5,4,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>8 [7,2,3,1,4,6,5]=>[2,3,7,1,4,6,5]=>[5,6,4,1,7,3,2]=>[[1,2,5],[3,6],[4],[7]]=>9 [7,2,3,1,5,4,6]=>[2,3,5,1,4,7,6]=>[6,7,4,1,5,3,2]=>[[1,2],[3,5],[4,6],[7]]=>9 [7,2,3,1,5,6,4]=>[7,2,3,1,5,6,4]=>[4,6,5,1,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>10 [7,2,3,1,6,4,5]=>[7,2,3,1,4,6,5]=>[5,6,4,1,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>10 [7,2,3,1,6,5,4]=>[7,2,3,6,1,5,4]=>[4,5,1,6,3,2,7]=>[[1,2,4,7],[3,5],[6]]=>11 [7,2,3,4,1,5,6]=>[2,3,4,1,5,7,6]=>[6,7,5,1,4,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>9 [7,2,3,4,1,6,5]=>[2,3,4,7,1,6,5]=>[5,6,1,7,4,3,2]=>[[1,2,4],[3,5],[6],[7]]=>10 [7,2,3,4,5,1,6]=>[2,3,4,5,1,7,6]=>[6,7,1,5,4,3,2]=>[[1,2],[3,4],[5],[6],[7]]=>10 [7,2,3,4,5,6,1]=>[2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7]]=>11 [7,2,3,4,6,1,5]=>[7,2,3,4,1,6,5]=>[5,6,1,4,3,2,7]=>[[1,2,7],[3,4],[5],[6]]=>11 [7,2,3,4,6,5,1]=>[7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]=>[[1,2,3,7],[4],[5],[6]]=>12 [7,2,3,5,1,4,6]=>[5,2,3,1,4,7,6]=>[6,7,4,1,3,2,5]=>[[1,2,7],[3,5],[4],[6]]=>10 [7,2,3,5,1,6,4]=>[2,7,3,1,5,6,4]=>[4,6,5,1,3,7,2]=>[[1,2,6],[3,5],[4],[7]]=>11 [7,2,3,5,4,1,6]=>[5,2,3,4,1,7,6]=>[6,7,1,4,3,2,5]=>[[1,2,7],[3,4],[5],[6]]=>11 [7,2,3,5,4,6,1]=>[5,2,3,4,7,6,1]=>[1,6,7,4,3,2,5]=>[[1,2,3],[4,7],[5],[6]]=>12 [7,2,3,5,6,1,4]=>[2,7,3,5,1,6,4]=>[4,6,1,5,3,7,2]=>[[1,2,6],[3,4],[5],[7]]=>12 [7,2,3,5,6,4,1]=>[2,7,3,5,6,4,1]=>[1,4,6,5,3,7,2]=>[[1,2,3,6],[4],[5],[7]]=>13 [7,2,3,6,1,4,5]=>[2,7,3,1,4,6,5]=>[5,6,4,1,3,7,2]=>[[1,2,6],[3,5],[4],[7]]=>11 [7,2,3,6,1,5,4]=>[2,7,3,6,1,5,4]=>[4,5,1,6,3,7,2]=>[[1,2,4,6],[3,5],[7]]=>12 [7,2,3,6,4,1,5]=>[2,7,3,4,1,6,5]=>[5,6,1,4,3,7,2]=>[[1,2,6],[3,4],[5],[7]]=>12 [7,2,3,6,4,5,1]=>[2,7,3,4,6,5,1]=>[1,5,6,4,3,7,2]=>[[1,2,3,6],[4],[5],[7]]=>13 [7,2,3,6,5,1,4]=>[7,6,2,3,1,5,4]=>[4,5,1,3,2,6,7]=>[[1,2,6,7],[3,4],[5]]=>13 [7,2,3,6,5,4,1]=>[7,6,2,3,5,4,1]=>[1,4,5,3,2,6,7]=>[[1,2,3,6,7],[4],[5]]=>14 [7,2,4,1,3,5,6]=>[4,2,1,3,5,7,6]=>[6,7,5,3,1,2,4]=>[[1,2,7],[3,6],[4],[5]]=>9 [7,2,4,1,3,6,5]=>[4,2,7,1,3,6,5]=>[5,6,3,1,7,2,4]=>[[1,2,5],[3,6,7],[4]]=>10 [7,2,4,1,5,3,6]=>[4,2,5,1,3,7,6]=>[6,7,3,1,5,2,4]=>[[1,2,7],[3,5],[4,6]]=>10 [7,2,4,1,5,6,3]=>[2,1,4,7,5,6,3]=>[3,6,5,7,4,1,2]=>[[1,2,4],[3,7],[5],[6]]=>11 [7,2,4,1,6,3,5]=>[4,7,2,1,3,6,5]=>[5,6,3,1,2,7,4]=>[[1,2,6],[3,5,7],[4]]=>11 [7,2,4,1,6,5,3]=>[2,7,1,6,4,5,3]=>[3,5,4,6,1,7,2]=>[[1,2,4,6],[3,7],[5]]=>12 [7,2,4,3,1,5,6]=>[4,2,3,1,5,7,6]=>[6,7,5,1,3,2,4]=>[[1,2,7],[3,5],[4],[6]]=>10 [7,2,4,3,1,6,5]=>[4,2,3,7,1,6,5]=>[5,6,1,7,3,2,4]=>[[1,2,4],[3,5,7],[6]]=>11 [7,2,4,3,5,1,6]=>[4,2,3,5,1,7,6]=>[6,7,1,5,3,2,4]=>[[1,2,7],[3,4],[5],[6]]=>11 [7,2,4,3,5,6,1]=>[4,2,3,5,7,6,1]=>[1,6,7,5,3,2,4]=>[[1,2,3],[4,7],[5],[6]]=>12 [7,2,4,3,6,1,5]=>[4,7,2,3,1,6,5]=>[5,6,1,3,2,7,4]=>[[1,2,6],[3,4,7],[5]]=>12 [7,2,4,3,6,5,1]=>[4,7,2,3,6,5,1]=>[1,5,6,3,2,7,4]=>[[1,2,3,6],[4,7],[5]]=>13 [7,2,4,5,1,3,6]=>[4,5,2,1,3,7,6]=>[6,7,3,1,2,5,4]=>[[1,2,6],[3,5],[4,7]]=>11 [7,2,4,5,1,6,3]=>[2,4,1,7,5,6,3]=>[3,6,5,7,1,4,2]=>[[1,2,4],[3,6],[5],[7]]=>12 [7,2,4,5,3,1,6]=>[4,5,2,3,1,7,6]=>[6,7,1,3,2,5,4]=>[[1,2,6],[3,4],[5,7]]=>12 [7,2,4,5,3,6,1]=>[4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4]=>[[1,2,3],[4,6],[5,7]]=>13 [7,2,4,5,6,1,3]=>[2,4,7,5,1,6,3]=>[3,6,1,5,7,4,2]=>[[1,2,5],[3,4],[6],[7]]=>13 [7,2,4,5,6,3,1]=>[2,4,7,5,6,3,1]=>[1,3,6,5,7,4,2]=>[[1,2,3,5],[4],[6],[7]]=>14 [7,2,4,6,1,3,5]=>[7,4,2,1,3,6,5]=>[5,6,3,1,2,4,7]=>[[1,2,6,7],[3,5],[4]]=>12 [7,2,4,6,1,5,3]=>[2,4,7,6,1,5,3]=>[3,5,1,6,7,4,2]=>[[1,2,4,5],[3,6],[7]]=>13 [7,2,4,6,3,1,5]=>[7,4,2,3,1,6,5]=>[5,6,1,3,2,4,7]=>[[1,2,6,7],[3,4],[5]]=>13 [7,2,4,6,3,5,1]=>[7,4,2,3,6,5,1]=>[1,5,6,3,2,4,7]=>[[1,2,3,7],[4,6],[5]]=>14 [7,2,4,6,5,1,3]=>[7,2,6,4,1,5,3]=>[3,5,1,4,6,2,7]=>[[1,2,5,7],[3,4],[6]]=>14 [7,2,4,6,5,3,1]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[[1,2,3,5,7],[4],[6]]=>15 [7,2,5,1,3,4,6]=>[2,1,5,3,4,7,6]=>[6,7,4,3,5,1,2]=>[[1,2],[3,5],[4,7],[6]]=>10 [7,2,5,1,3,6,4]=>[2,1,3,7,5,6,4]=>[4,6,5,7,3,1,2]=>[[1,2,4],[3,7],[5],[6]]=>11 [7,2,5,1,4,3,6]=>[2,5,4,1,3,7,6]=>[6,7,3,1,4,5,2]=>[[1,2,6],[3,5],[4,7]]=>11 [7,2,5,1,4,6,3]=>[2,7,1,5,4,6,3]=>[3,6,4,5,1,7,2]=>[[1,2,4,6],[3,7],[5]]=>12 [7,2,5,1,6,3,4]=>[2,7,1,5,3,6,4]=>[4,6,3,5,1,7,2]=>[[1,2,6],[3,4],[5,7]]=>12 [7,2,5,1,6,4,3]=>[2,5,7,6,1,4,3]=>[3,4,1,6,7,5,2]=>[[1,2,4,5],[3,6],[7]]=>13 [7,2,5,3,1,4,6]=>[2,5,3,1,4,7,6]=>[6,7,4,1,3,5,2]=>[[1,2,6],[3,5],[4],[7]]=>11 [7,2,5,3,1,6,4]=>[2,3,1,7,5,6,4]=>[4,6,5,7,1,3,2]=>[[1,2,4],[3,6],[5],[7]]=>12 [7,2,5,3,4,1,6]=>[2,5,3,4,1,7,6]=>[6,7,1,4,3,5,2]=>[[1,2,6],[3,4],[5],[7]]=>12 [7,2,5,3,4,6,1]=>[2,5,3,4,7,6,1]=>[1,6,7,4,3,5,2]=>[[1,2,3],[4,6],[5],[7]]=>13 [7,2,5,3,6,1,4]=>[2,3,7,5,1,6,4]=>[4,6,1,5,7,3,2]=>[[1,2,5],[3,4],[6],[7]]=>13 [7,2,5,3,6,4,1]=>[2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2]=>[[1,2,3,5],[4],[6],[7]]=>14 [7,2,5,4,1,3,6]=>[5,4,2,1,3,7,6]=>[6,7,3,1,2,4,5]=>[[1,2,6,7],[3,5],[4]]=>12 [7,2,5,4,1,6,3]=>[7,2,1,5,4,6,3]=>[3,6,4,5,1,2,7]=>[[1,2,4,7],[3,6],[5]]=>13 [7,2,5,4,3,1,6]=>[5,4,2,3,1,7,6]=>[6,7,1,3,2,4,5]=>[[1,2,6,7],[3,4],[5]]=>13 [7,2,5,4,3,6,1]=>[5,4,2,3,7,6,1]=>[1,6,7,3,2,4,5]=>[[1,2,3,7],[4,6],[5]]=>14 [7,2,5,4,6,1,3]=>[7,2,5,4,1,6,3]=>[3,6,1,4,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>14 [7,2,5,4,6,3,1]=>[7,2,5,4,6,3,1]=>[1,3,6,4,5,2,7]=>[[1,2,3,5,7],[4],[6]]=>15 [7,2,5,6,1,3,4]=>[7,2,1,5,3,6,4]=>[4,6,3,5,1,2,7]=>[[1,2,7],[3,4],[5,6]]=>13 [7,2,5,6,1,4,3]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[[1,2,4,5],[3,6,7]]=>14 [7,2,5,6,3,1,4]=>[7,2,5,3,1,6,4]=>[4,6,1,3,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>14 [7,2,5,6,3,4,1]=>[7,2,5,3,6,4,1]=>[1,4,6,3,5,2,7]=>[[1,2,3,7],[4,5],[6]]=>15 [7,2,5,6,4,1,3]=>[5,7,6,2,1,4,3]=>[3,4,1,2,6,7,5]=>[[1,2,5,6],[3,4,7]]=>15 [7,2,5,6,4,3,1]=>[5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5]=>[[1,2,3,5,6],[4,7]]=>16 [7,2,6,1,3,4,5]=>[2,1,3,7,4,6,5]=>[5,6,4,7,3,1,2]=>[[1,2,4],[3,7],[5],[6]]=>11 [7,2,6,1,3,5,4]=>[2,7,1,6,3,5,4]=>[4,5,3,6,1,7,2]=>[[1,2,4,6],[3,7],[5]]=>12 [7,2,6,1,4,3,5]=>[2,7,1,4,3,6,5]=>[5,6,3,4,1,7,2]=>[[1,2,6],[3,4],[5,7]]=>12 [7,2,6,1,4,5,3]=>[7,2,1,6,4,5,3]=>[3,5,4,6,1,2,7]=>[[1,2,4,7],[3,6],[5]]=>13 [7,2,6,1,5,3,4]=>[7,2,1,6,3,5,4]=>[4,5,3,6,1,2,7]=>[[1,2,4,7],[3,6],[5]]=>13 [7,2,6,1,5,4,3]=>[7,2,6,5,1,4,3]=>[3,4,1,5,6,2,7]=>[[1,2,4,5,7],[3,6]]=>14 [7,2,6,3,1,4,5]=>[2,3,1,7,4,6,5]=>[5,6,4,7,1,3,2]=>[[1,2,4],[3,6],[5],[7]]=>12 [7,2,6,3,1,5,4]=>[2,3,7,6,1,5,4]=>[4,5,1,6,7,3,2]=>[[1,2,4,5],[3,6],[7]]=>13 [7,2,6,3,4,1,5]=>[2,3,7,4,1,6,5]=>[5,6,1,4,7,3,2]=>[[1,2,5],[3,4],[6],[7]]=>13 [7,2,6,3,4,5,1]=>[2,3,7,4,6,5,1]=>[1,5,6,4,7,3,2]=>[[1,2,3,5],[4],[6],[7]]=>14 [7,2,6,3,5,1,4]=>[7,2,6,3,1,5,4]=>[4,5,1,3,6,2,7]=>[[1,2,5,7],[3,4],[6]]=>14 [7,2,6,3,5,4,1]=>[7,2,6,3,5,4,1]=>[1,4,5,3,6,2,7]=>[[1,2,3,5,7],[4],[6]]=>15 [7,2,6,4,1,3,5]=>[7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7]=>[[1,2,7],[3,4],[5,6]]=>13 [7,2,6,4,1,5,3]=>[2,1,7,6,4,5,3]=>[3,5,4,6,7,1,2]=>[[1,2,4,5],[3,7],[6]]=>14 [7,2,6,4,3,1,5]=>[7,2,4,3,1,6,5]=>[5,6,1,3,4,2,7]=>[[1,2,5,7],[3,4],[6]]=>14 [7,2,6,4,3,5,1]=>[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[[1,2,3,7],[4,5],[6]]=>15 [7,2,6,4,5,1,3]=>[2,7,6,4,1,5,3]=>[3,5,1,4,6,7,2]=>[[1,2,5,6],[3,4],[7]]=>15 [7,2,6,4,5,3,1]=>[2,7,6,4,5,3,1]=>[1,3,5,4,6,7,2]=>[[1,2,3,5,6],[4],[7]]=>16 [7,2,6,5,1,3,4]=>[2,1,7,6,3,5,4]=>[4,5,3,6,7,1,2]=>[[1,2,4,5],[3,7],[6]]=>14 [7,2,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[3,4,1,5,6,7,2]=>[[1,2,4,5,6],[3,7]]=>15 [7,2,6,5,3,1,4]=>[2,7,6,3,1,5,4]=>[4,5,1,3,6,7,2]=>[[1,2,5,6],[3,4],[7]]=>15 [7,2,6,5,3,4,1]=>[2,7,6,3,5,4,1]=>[1,4,5,3,6,7,2]=>[[1,2,3,5,6],[4],[7]]=>16 [7,2,6,5,4,1,3]=>[7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7]=>[[1,2,5,6,7],[3,4]]=>16 [7,2,6,5,4,3,1]=>[7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7]=>[[1,2,3,5,6,7],[4]]=>17 [7,3,1,2,4,5,6]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>[[1,2],[3,6],[4],[5],[7]]=>8 [7,3,1,2,4,6,5]=>[1,3,7,2,4,6,5]=>[5,6,4,2,7,3,1]=>[[1,2,5],[3,6],[4],[7]]=>9 [7,3,1,2,5,4,6]=>[1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1]=>[[1,2],[3,5],[4,6],[7]]=>9 [7,3,1,2,5,6,4]=>[3,1,7,2,5,6,4]=>[4,6,5,2,7,1,3]=>[[1,2,5],[3,7],[4],[6]]=>10 [7,3,1,2,6,4,5]=>[3,1,7,2,4,6,5]=>[5,6,4,2,7,1,3]=>[[1,2,5],[3,7],[4],[6]]=>10 [7,3,1,2,6,5,4]=>[7,1,3,6,2,5,4]=>[4,5,2,6,3,1,7]=>[[1,2,4,7],[3,5],[6]]=>11 [7,3,1,4,2,5,6]=>[1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1]=>[[1,2],[3,5],[4],[6],[7]]=>9 [7,3,1,4,2,6,5]=>[1,3,4,7,2,6,5]=>[5,6,2,7,4,3,1]=>[[1,2,4],[3,5],[6],[7]]=>10 [7,3,1,4,5,2,6]=>[1,3,4,5,2,7,6]=>[6,7,2,5,4,3,1]=>[[1,2],[3,4],[5],[6],[7]]=>10 [7,3,1,4,5,6,2]=>[1,3,4,5,7,6,2]=>[2,6,7,5,4,3,1]=>[[1,2,3],[4],[5],[6],[7]]=>11 [7,3,1,4,6,2,5]=>[7,1,3,4,2,6,5]=>[5,6,2,4,3,1,7]=>[[1,2,7],[3,4],[5],[6]]=>11 [7,3,1,4,6,5,2]=>[7,1,3,4,6,5,2]=>[2,5,6,4,3,1,7]=>[[1,2,3,7],[4],[5],[6]]=>12 [7,3,1,5,2,4,6]=>[3,1,5,2,4,7,6]=>[6,7,4,2,5,1,3]=>[[1,2],[3,5],[4,7],[6]]=>10 [7,3,1,5,2,6,4]=>[1,7,3,2,5,6,4]=>[4,6,5,2,3,7,1]=>[[1,2,6],[3,5],[4],[7]]=>11 [7,3,1,5,4,2,6]=>[5,1,3,4,2,7,6]=>[6,7,2,4,3,1,5]=>[[1,2,7],[3,4],[5],[6]]=>11 [7,3,1,5,4,6,2]=>[5,1,3,4,7,6,2]=>[2,6,7,4,3,1,5]=>[[1,2,3],[4,7],[5],[6]]=>12 [7,3,1,5,6,2,4]=>[3,7,1,5,2,6,4]=>[4,6,2,5,1,7,3]=>[[1,2,6],[3,4],[5,7]]=>12 [7,3,1,5,6,4,2]=>[1,7,3,5,6,4,2]=>[2,4,6,5,3,7,1]=>[[1,2,3,6],[4],[5],[7]]=>13 [7,3,1,6,2,4,5]=>[1,7,3,2,4,6,5]=>[5,6,4,2,3,7,1]=>[[1,2,6],[3,5],[4],[7]]=>11 [7,3,1,6,2,5,4]=>[3,7,1,6,2,5,4]=>[4,5,2,6,1,7,3]=>[[1,2,4,6],[3,7],[5]]=>12 [7,3,1,6,4,2,5]=>[3,7,1,4,2,6,5]=>[5,6,2,4,1,7,3]=>[[1,2,6],[3,4],[5,7]]=>12 [7,3,1,6,4,5,2]=>[1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]=>[[1,2,3,6],[4],[5],[7]]=>13 [7,3,1,6,5,2,4]=>[7,3,1,6,2,5,4]=>[4,5,2,6,1,3,7]=>[[1,2,4,7],[3,6],[5]]=>13 [7,3,1,6,5,4,2]=>[7,6,1,3,5,4,2]=>[2,4,5,3,1,6,7]=>[[1,2,3,6,7],[4],[5]]=>14 [7,3,2,1,4,5,6]=>[3,2,1,4,5,7,6]=>[6,7,5,4,1,2,3]=>[[1,2,7],[3,6],[4],[5]]=>9 [7,3,2,1,4,6,5]=>[3,2,7,1,4,6,5]=>[5,6,4,1,7,2,3]=>[[1,2,5],[3,6,7],[4]]=>10 [7,3,2,1,5,4,6]=>[3,2,5,1,4,7,6]=>[6,7,4,1,5,2,3]=>[[1,2,7],[3,5],[4,6]]=>10 [7,3,2,1,5,6,4]=>[3,7,2,1,5,6,4]=>[4,6,5,1,2,7,3]=>[[1,2,6],[3,5,7],[4]]=>11 [7,3,2,1,6,4,5]=>[3,7,2,1,4,6,5]=>[5,6,4,1,2,7,3]=>[[1,2,6],[3,5,7],[4]]=>11 [7,3,2,1,6,5,4]=>[3,7,2,6,1,5,4]=>[4,5,1,6,2,7,3]=>[[1,2,4,6],[3,5,7]]=>12 [7,3,2,4,1,5,6]=>[3,2,4,1,5,7,6]=>[6,7,5,1,4,2,3]=>[[1,2,7],[3,5],[4],[6]]=>10 [7,3,2,4,1,6,5]=>[3,2,4,7,1,6,5]=>[5,6,1,7,4,2,3]=>[[1,2,4],[3,5,7],[6]]=>11 [7,3,2,4,5,1,6]=>[3,2,4,5,1,7,6]=>[6,7,1,5,4,2,3]=>[[1,2,7],[3,4],[5],[6]]=>11 [7,3,2,4,5,6,1]=>[3,2,4,5,7,6,1]=>[1,6,7,5,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>12 [7,3,2,4,6,1,5]=>[3,7,2,4,1,6,5]=>[5,6,1,4,2,7,3]=>[[1,2,6],[3,4,7],[5]]=>12 [7,3,2,4,6,5,1]=>[3,7,2,4,6,5,1]=>[1,5,6,4,2,7,3]=>[[1,2,3,6],[4,7],[5]]=>13 [7,3,2,5,1,4,6]=>[3,5,2,1,4,7,6]=>[6,7,4,1,2,5,3]=>[[1,2,6],[3,5],[4,7]]=>11 [7,3,2,5,1,6,4]=>[7,3,2,1,5,6,4]=>[4,6,5,1,2,3,7]=>[[1,2,6,7],[3,5],[4]]=>12 [7,3,2,5,4,1,6]=>[3,5,2,4,1,7,6]=>[6,7,1,4,2,5,3]=>[[1,2,6],[3,4],[5,7]]=>12 [7,3,2,5,4,6,1]=>[3,5,2,4,7,6,1]=>[1,6,7,4,2,5,3]=>[[1,2,3],[4,6],[5,7]]=>13 [7,3,2,5,6,1,4]=>[7,3,2,5,1,6,4]=>[4,6,1,5,2,3,7]=>[[1,2,6,7],[3,4],[5]]=>13 [7,3,2,5,6,4,1]=>[7,3,2,5,6,4,1]=>[1,4,6,5,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>14 [7,3,2,6,1,4,5]=>[7,3,2,1,4,6,5]=>[5,6,4,1,2,3,7]=>[[1,2,6,7],[3,5],[4]]=>12 [7,3,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>[4,5,1,6,2,3,7]=>[[1,2,4,7],[3,5,6]]=>13 [7,3,2,6,4,1,5]=>[7,3,2,4,1,6,5]=>[5,6,1,4,2,3,7]=>[[1,2,6,7],[3,4],[5]]=>13 [7,3,2,6,4,5,1]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>14 [7,3,2,6,5,1,4]=>[7,3,6,2,1,5,4]=>[4,5,1,2,6,3,7]=>[[1,2,5,7],[3,4,6]]=>14 [7,3,2,6,5,4,1]=>[7,3,6,2,5,4,1]=>[1,4,5,2,6,3,7]=>[[1,2,3,5,7],[4,6]]=>15 [7,3,4,1,2,5,6]=>[3,1,4,2,5,7,6]=>[6,7,5,2,4,1,3]=>[[1,2],[3,5],[4,7],[6]]=>10 [7,3,4,1,2,6,5]=>[3,1,4,7,2,6,5]=>[5,6,2,7,4,1,3]=>[[1,2,4],[3,5],[6,7]]=>11 [7,3,4,1,5,2,6]=>[3,1,4,5,2,7,6]=>[6,7,2,5,4,1,3]=>[[1,2],[3,4],[5,7],[6]]=>11 [7,3,4,1,5,6,2]=>[3,1,4,5,7,6,2]=>[2,6,7,5,4,1,3]=>[[1,2,3],[4,7],[5],[6]]=>12 [7,3,4,1,6,2,5]=>[3,4,1,7,2,6,5]=>[5,6,2,7,1,4,3]=>[[1,2,4],[3,6],[5,7]]=>12 [7,3,4,1,6,5,2]=>[3,7,1,4,6,5,2]=>[2,5,6,4,1,7,3]=>[[1,2,3,6],[4,7],[5]]=>13 [7,3,4,2,1,5,6]=>[3,4,2,1,5,7,6]=>[6,7,5,1,2,4,3]=>[[1,2,6],[3,5],[4],[7]]=>11 [7,3,4,2,1,6,5]=>[3,4,2,7,1,6,5]=>[5,6,1,7,2,4,3]=>[[1,2,4],[3,5,6],[7]]=>12 [7,3,4,2,5,1,6]=>[3,4,2,5,1,7,6]=>[6,7,1,5,2,4,3]=>[[1,2,6],[3,4],[5],[7]]=>12 [7,3,4,2,5,6,1]=>[3,4,2,5,7,6,1]=>[1,6,7,5,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>13 [7,3,4,2,6,1,5]=>[3,4,7,2,1,6,5]=>[5,6,1,2,7,4,3]=>[[1,2,5],[3,4,6],[7]]=>13 [7,3,4,2,6,5,1]=>[3,4,7,2,6,5,1]=>[1,5,6,2,7,4,3]=>[[1,2,3,5],[4,6],[7]]=>14 [7,3,4,5,1,2,6]=>[3,4,1,5,2,7,6]=>[6,7,2,5,1,4,3]=>[[1,2],[3,4],[5,6],[7]]=>12 [7,3,4,5,1,6,2]=>[3,4,1,5,7,6,2]=>[2,6,7,5,1,4,3]=>[[1,2,3],[4,6],[5],[7]]=>13 [7,3,4,5,2,1,6]=>[3,4,5,2,1,7,6]=>[6,7,1,2,5,4,3]=>[[1,2,5],[3,4],[6],[7]]=>13 [7,3,4,5,2,6,1]=>[3,4,5,2,7,6,1]=>[1,6,7,2,5,4,3]=>[[1,2,3],[4,5],[6],[7]]=>14 [7,3,4,5,6,1,2]=>[3,4,5,1,7,6,2]=>[2,6,7,1,5,4,3]=>[[1,2,3],[4,5],[6],[7]]=>14 [7,3,4,5,6,2,1]=>[3,4,5,7,6,2,1]=>[1,2,6,7,5,4,3]=>[[1,2,3,4],[5],[6],[7]]=>15 [7,3,4,6,1,2,5]=>[7,3,1,4,2,6,5]=>[5,6,2,4,1,3,7]=>[[1,2,7],[3,4],[5,6]]=>13 [7,3,4,6,1,5,2]=>[3,4,7,1,6,5,2]=>[2,5,6,1,7,4,3]=>[[1,2,3,5],[4,6],[7]]=>14 [7,3,4,6,2,1,5]=>[7,3,4,2,1,6,5]=>[5,6,1,2,4,3,7]=>[[1,2,5,7],[3,4],[6]]=>14 [7,3,4,6,2,5,1]=>[7,3,4,2,6,5,1]=>[1,5,6,2,4,3,7]=>[[1,2,3,7],[4,5],[6]]=>15 [7,3,4,6,5,1,2]=>[7,3,4,1,6,5,2]=>[2,5,6,1,4,3,7]=>[[1,2,3,7],[4,5],[6]]=>15 [7,3,4,6,5,2,1]=>[7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7]=>[[1,2,3,4,7],[5],[6]]=>16 [7,3,5,1,2,4,6]=>[1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1]=>[[1,2,6],[3,5],[4],[7]]=>11 [7,3,5,1,2,6,4]=>[1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1]=>[[1,2,4],[3,6],[5],[7]]=>12 [7,3,5,1,4,2,6]=>[3,5,1,4,2,7,6]=>[6,7,2,4,1,5,3]=>[[1,2,6],[3,4],[5,7]]=>12 [7,3,5,1,4,6,2]=>[3,5,1,4,7,6,2]=>[2,6,7,4,1,5,3]=>[[1,2,3],[4,6],[5,7]]=>13 [7,3,5,1,6,2,4]=>[1,3,7,5,2,6,4]=>[4,6,2,5,7,3,1]=>[[1,2,5],[3,4],[6],[7]]=>13 [7,3,5,1,6,4,2]=>[7,3,1,5,6,4,2]=>[2,4,6,5,1,3,7]=>[[1,2,3,7],[4,6],[5]]=>14 [7,3,5,2,1,4,6]=>[5,3,2,1,4,7,6]=>[6,7,4,1,2,3,5]=>[[1,2,6,7],[3,5],[4]]=>12 [7,3,5,2,1,6,4]=>[3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]=>[[1,2,4],[3,6,7],[5]]=>13 [7,3,5,2,4,1,6]=>[5,3,2,4,1,7,6]=>[6,7,1,4,2,3,5]=>[[1,2,6,7],[3,4],[5]]=>13 [7,3,5,2,4,6,1]=>[5,3,2,4,7,6,1]=>[1,6,7,4,2,3,5]=>[[1,2,3,7],[4,6],[5]]=>14 [7,3,5,2,6,1,4]=>[3,2,7,5,1,6,4]=>[4,6,1,5,7,2,3]=>[[1,2,5],[3,4,7],[6]]=>14 [7,3,5,2,6,4,1]=>[3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3]=>[[1,2,3,5],[4,7],[6]]=>15 [7,3,5,4,1,2,6]=>[5,3,1,4,2,7,6]=>[6,7,2,4,1,3,5]=>[[1,2,7],[3,4],[5,6]]=>13 [7,3,5,4,1,6,2]=>[5,3,1,4,7,6,2]=>[2,6,7,4,1,3,5]=>[[1,2,3],[4,6,7],[5]]=>14 [7,3,5,4,2,1,6]=>[5,3,4,2,1,7,6]=>[6,7,1,2,4,3,5]=>[[1,2,5,7],[3,4],[6]]=>14 [7,3,5,4,2,6,1]=>[5,3,4,2,7,6,1]=>[1,6,7,2,4,3,5]=>[[1,2,3,7],[4,5],[6]]=>15 [7,3,5,4,6,1,2]=>[5,3,4,1,7,6,2]=>[2,6,7,1,4,3,5]=>[[1,2,3],[4,5,7],[6]]=>15 [7,3,5,4,6,2,1]=>[5,3,4,7,6,2,1]=>[1,2,6,7,4,3,5]=>[[1,2,3,4],[5,7],[6]]=>16 [7,3,5,6,1,2,4]=>[3,1,7,5,2,6,4]=>[4,6,2,5,7,1,3]=>[[1,2,5],[3,4],[6,7]]=>14 [7,3,5,6,1,4,2]=>[3,1,7,5,6,4,2]=>[2,4,6,5,7,1,3]=>[[1,2,3,5],[4,7],[6]]=>15 [7,3,5,6,2,1,4]=>[3,7,5,2,1,6,4]=>[4,6,1,2,5,7,3]=>[[1,2,5,6],[3,4],[7]]=>15 [7,3,5,6,2,4,1]=>[3,7,5,2,6,4,1]=>[1,4,6,2,5,7,3]=>[[1,2,3,6],[4,5],[7]]=>16 [7,3,5,6,4,1,2]=>[3,7,5,1,6,4,2]=>[2,4,6,1,5,7,3]=>[[1,2,3,6],[4,5],[7]]=>16 [7,3,5,6,4,2,1]=>[3,7,5,6,4,2,1]=>[1,2,4,6,5,7,3]=>[[1,2,3,4,6],[5],[7]]=>17 [7,3,6,1,2,4,5]=>[1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1]=>[[1,2,4],[3,6],[5],[7]]=>12 [7,3,6,1,2,5,4]=>[1,3,7,6,2,5,4]=>[4,5,2,6,7,3,1]=>[[1,2,4,5],[3,6],[7]]=>13 [7,3,6,1,4,2,5]=>[1,3,7,4,2,6,5]=>[5,6,2,4,7,3,1]=>[[1,2,5],[3,4],[6],[7]]=>13 [7,3,6,1,4,5,2]=>[7,3,1,4,6,5,2]=>[2,5,6,4,1,3,7]=>[[1,2,3,7],[4,6],[5]]=>14 [7,3,6,1,5,2,4]=>[3,1,7,6,2,5,4]=>[4,5,2,6,7,1,3]=>[[1,2,4,5],[3,7],[6]]=>14 [7,3,6,1,5,4,2]=>[7,3,6,1,5,4,2]=>[2,4,5,1,6,3,7]=>[[1,2,3,5,7],[4,6]]=>15 [7,3,6,2,1,4,5]=>[3,2,1,7,4,6,5]=>[5,6,4,7,1,2,3]=>[[1,2,4],[3,6,7],[5]]=>13 [7,3,6,2,1,5,4]=>[3,2,7,6,1,5,4]=>[4,5,1,6,7,2,3]=>[[1,2,4,5],[3,6,7]]=>14 [7,3,6,2,4,1,5]=>[3,2,7,4,1,6,5]=>[5,6,1,4,7,2,3]=>[[1,2,5],[3,4,7],[6]]=>14 [7,3,6,2,4,5,1]=>[3,2,7,4,6,5,1]=>[1,5,6,4,7,2,3]=>[[1,2,3,5],[4,7],[6]]=>15 [7,3,6,2,5,1,4]=>[3,7,6,2,1,5,4]=>[4,5,1,2,6,7,3]=>[[1,2,5,6],[3,4,7]]=>15 [7,3,6,2,5,4,1]=>[3,7,6,2,5,4,1]=>[1,4,5,2,6,7,3]=>[[1,2,3,5,6],[4,7]]=>16 [7,3,6,4,1,2,5]=>[3,1,7,4,2,6,5]=>[5,6,2,4,7,1,3]=>[[1,2,5],[3,4],[6,7]]=>14 [7,3,6,4,1,5,2]=>[3,1,7,4,6,5,2]=>[2,5,6,4,7,1,3]=>[[1,2,3,5],[4,7],[6]]=>15 [7,3,6,4,2,1,5]=>[3,7,4,2,1,6,5]=>[5,6,1,2,4,7,3]=>[[1,2,5,6],[3,4],[7]]=>15 [7,3,6,4,2,5,1]=>[3,7,4,2,6,5,1]=>[1,5,6,2,4,7,3]=>[[1,2,3,6],[4,5],[7]]=>16 [7,3,6,4,5,1,2]=>[3,7,4,1,6,5,2]=>[2,5,6,1,4,7,3]=>[[1,2,3,6],[4,5],[7]]=>16 [7,3,6,4,5,2,1]=>[3,7,4,6,5,2,1]=>[1,2,5,6,4,7,3]=>[[1,2,3,4,6],[5],[7]]=>17 [7,3,6,5,1,2,4]=>[1,7,6,3,2,5,4]=>[4,5,2,3,6,7,1]=>[[1,2,5,6],[3,4],[7]]=>15 [7,3,6,5,1,4,2]=>[3,7,6,1,5,4,2]=>[2,4,5,1,6,7,3]=>[[1,2,3,5,6],[4,7]]=>16 [7,3,6,5,2,1,4]=>[7,6,3,2,1,5,4]=>[4,5,1,2,3,6,7]=>[[1,2,5,6,7],[3,4]]=>16 [7,3,6,5,2,4,1]=>[7,6,3,2,5,4,1]=>[1,4,5,2,3,6,7]=>[[1,2,3,6,7],[4,5]]=>17 [7,3,6,5,4,1,2]=>[7,6,3,1,5,4,2]=>[2,4,5,1,3,6,7]=>[[1,2,3,6,7],[4,5]]=>17 [7,3,6,5,4,2,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[[1,2,3,4,6,7],[5]]=>18 [7,4,1,2,3,5,6]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>9 [7,4,1,2,3,6,5]=>[1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1]=>[[1,2,4],[3,5],[6],[7]]=>10 [7,4,1,2,5,3,6]=>[1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>10 [7,4,1,2,5,6,3]=>[1,2,4,5,7,6,3]=>[3,6,7,5,4,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>11 [7,4,1,2,6,3,5]=>[4,1,2,7,3,6,5]=>[5,6,3,7,2,1,4]=>[[1,2,4],[3,7],[5],[6]]=>11 [7,4,1,2,6,5,3]=>[7,1,2,4,6,5,3]=>[3,5,6,4,2,1,7]=>[[1,2,3,7],[4],[5],[6]]=>12 [7,4,1,3,2,5,6]=>[4,1,3,2,5,7,6]=>[6,7,5,2,3,1,4]=>[[1,2,7],[3,5],[4],[6]]=>10 [7,4,1,3,2,6,5]=>[4,1,3,7,2,6,5]=>[5,6,2,7,3,1,4]=>[[1,2,4],[3,5,7],[6]]=>11 [7,4,1,3,5,2,6]=>[4,1,3,5,2,7,6]=>[6,7,2,5,3,1,4]=>[[1,2,7],[3,4],[5],[6]]=>11 [7,4,1,3,5,6,2]=>[4,1,3,5,7,6,2]=>[2,6,7,5,3,1,4]=>[[1,2,3],[4,7],[5],[6]]=>12 [7,4,1,3,6,2,5]=>[4,7,1,3,2,6,5]=>[5,6,2,3,1,7,4]=>[[1,2,6],[3,4,7],[5]]=>12 [7,4,1,3,6,5,2]=>[4,7,1,3,6,5,2]=>[2,5,6,3,1,7,4]=>[[1,2,3,6],[4,7],[5]]=>13 [7,4,1,5,2,3,6]=>[4,1,2,5,3,7,6]=>[6,7,3,5,2,1,4]=>[[1,2],[3,4],[5,7],[6]]=>11 [7,4,1,5,2,6,3]=>[4,1,2,5,7,6,3]=>[3,6,7,5,2,1,4]=>[[1,2,3],[4,7],[5],[6]]=>12 [7,4,1,5,3,2,6]=>[4,5,1,3,2,7,6]=>[6,7,2,3,1,5,4]=>[[1,2,6],[3,4],[5,7]]=>12 [7,4,1,5,3,6,2]=>[4,5,1,3,7,6,2]=>[2,6,7,3,1,5,4]=>[[1,2,3],[4,6],[5,7]]=>13 [7,4,1,5,6,2,3]=>[4,5,1,2,7,6,3]=>[3,6,7,2,1,5,4]=>[[1,2,3],[4,6],[5,7]]=>13 [7,4,1,5,6,3,2]=>[1,4,7,5,6,3,2]=>[2,3,6,5,7,4,1]=>[[1,2,3,5],[4],[6],[7]]=>14 [7,4,1,6,2,3,5]=>[1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1]=>[[1,2,4],[3,6],[5],[7]]=>12 [7,4,1,6,2,5,3]=>[4,7,1,2,6,5,3]=>[3,5,6,2,1,7,4]=>[[1,2,3,6],[4,7],[5]]=>13 [7,4,1,6,3,2,5]=>[1,4,7,3,2,6,5]=>[5,6,2,3,7,4,1]=>[[1,2,5],[3,4,6],[7]]=>13 [7,4,1,6,3,5,2]=>[7,4,1,3,6,5,2]=>[2,5,6,3,1,4,7]=>[[1,2,3,7],[4,6],[5]]=>14 [7,4,1,6,5,2,3]=>[7,4,1,2,6,5,3]=>[3,5,6,2,1,4,7]=>[[1,2,3,7],[4,6],[5]]=>14 [7,4,1,6,5,3,2]=>[7,1,6,4,5,3,2]=>[2,3,5,4,6,1,7]=>[[1,2,3,5,7],[4],[6]]=>15 [7,4,2,1,3,5,6]=>[2,1,4,3,5,7,6]=>[6,7,5,3,4,1,2]=>[[1,2],[3,5],[4,7],[6]]=>10 [7,4,2,1,3,6,5]=>[2,1,4,7,3,6,5]=>[5,6,3,7,4,1,2]=>[[1,2,4],[3,5],[6,7]]=>11 [7,4,2,1,5,3,6]=>[2,1,4,5,3,7,6]=>[6,7,3,5,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>11 [7,4,2,1,5,6,3]=>[2,1,4,5,7,6,3]=>[3,6,7,5,4,1,2]=>[[1,2,3],[4,7],[5],[6]]=>12 [7,4,2,1,6,3,5]=>[2,4,1,7,3,6,5]=>[5,6,3,7,1,4,2]=>[[1,2,4],[3,6],[5,7]]=>12 [7,4,2,1,6,5,3]=>[2,7,1,4,6,5,3]=>[3,5,6,4,1,7,2]=>[[1,2,3,6],[4,7],[5]]=>13 [7,4,2,3,1,5,6]=>[2,4,3,1,5,7,6]=>[6,7,5,1,3,4,2]=>[[1,2,6],[3,5],[4],[7]]=>11 [7,4,2,3,1,6,5]=>[2,4,3,7,1,6,5]=>[5,6,1,7,3,4,2]=>[[1,2,4],[3,5,6],[7]]=>12 [7,4,2,3,5,1,6]=>[2,4,3,5,1,7,6]=>[6,7,1,5,3,4,2]=>[[1,2,6],[3,4],[5],[7]]=>12 [7,4,2,3,5,6,1]=>[2,4,3,5,7,6,1]=>[1,6,7,5,3,4,2]=>[[1,2,3],[4,6],[5],[7]]=>13 [7,4,2,3,6,1,5]=>[2,4,7,3,1,6,5]=>[5,6,1,3,7,4,2]=>[[1,2,5],[3,4,6],[7]]=>13 [7,4,2,3,6,5,1]=>[2,4,7,3,6,5,1]=>[1,5,6,3,7,4,2]=>[[1,2,3,5],[4,6],[7]]=>14 [7,4,2,5,1,3,6]=>[2,4,1,5,3,7,6]=>[6,7,3,5,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>12 [7,4,2,5,1,6,3]=>[2,4,1,5,7,6,3]=>[3,6,7,5,1,4,2]=>[[1,2,3],[4,6],[5],[7]]=>13 [7,4,2,5,3,1,6]=>[2,4,5,3,1,7,6]=>[6,7,1,3,5,4,2]=>[[1,2,5],[3,4],[6],[7]]=>13 [7,4,2,5,3,6,1]=>[2,4,5,3,7,6,1]=>[1,6,7,3,5,4,2]=>[[1,2,3],[4,5],[6],[7]]=>14 [7,4,2,5,6,1,3]=>[2,4,5,1,7,6,3]=>[3,6,7,1,5,4,2]=>[[1,2,3],[4,5],[6],[7]]=>14 [7,4,2,5,6,3,1]=>[2,4,5,7,6,3,1]=>[1,3,6,7,5,4,2]=>[[1,2,3,4],[5],[6],[7]]=>15 [7,4,2,6,1,3,5]=>[4,2,1,7,3,6,5]=>[5,6,3,7,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>13 [7,4,2,6,1,5,3]=>[2,4,7,1,6,5,3]=>[3,5,6,1,7,4,2]=>[[1,2,3,5],[4,6],[7]]=>14 [7,4,2,6,3,1,5]=>[4,2,7,3,1,6,5]=>[5,6,1,3,7,2,4]=>[[1,2,5],[3,4,7],[6]]=>14 [7,4,2,6,3,5,1]=>[4,2,7,3,6,5,1]=>[1,5,6,3,7,2,4]=>[[1,2,3,5],[4,7],[6]]=>15 [7,4,2,6,5,1,3]=>[7,2,4,1,6,5,3]=>[3,5,6,1,4,2,7]=>[[1,2,3,7],[4,5],[6]]=>15 [7,4,2,6,5,3,1]=>[7,2,4,6,5,3,1]=>[1,3,5,6,4,2,7]=>[[1,2,3,4,7],[5],[6]]=>16 [7,4,3,1,2,5,6]=>[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>[[1,2,6],[3,5],[4],[7]]=>11 [7,4,3,1,2,6,5]=>[1,4,3,7,2,6,5]=>[5,6,2,7,3,4,1]=>[[1,2,4],[3,5,6],[7]]=>12 [7,4,3,1,5,2,6]=>[1,4,3,5,2,7,6]=>[6,7,2,5,3,4,1]=>[[1,2,6],[3,4],[5],[7]]=>12 [7,4,3,1,5,6,2]=>[1,4,3,5,7,6,2]=>[2,6,7,5,3,4,1]=>[[1,2,3],[4,6],[5],[7]]=>13 [7,4,3,1,6,2,5]=>[4,3,1,7,2,6,5]=>[5,6,2,7,1,3,4]=>[[1,2,4],[3,6,7],[5]]=>13 [7,4,3,1,6,5,2]=>[1,4,7,3,6,5,2]=>[2,5,6,3,7,4,1]=>[[1,2,3,5],[4,6],[7]]=>14 [7,4,3,2,1,5,6]=>[4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]=>[[1,2,6,7],[3,5],[4]]=>12 [7,4,3,2,1,6,5]=>[4,3,2,7,1,6,5]=>[5,6,1,7,2,3,4]=>[[1,2,4,7],[3,5,6]]=>13 [7,4,3,2,5,1,6]=>[4,3,2,5,1,7,6]=>[6,7,1,5,2,3,4]=>[[1,2,6,7],[3,4],[5]]=>13 [7,4,3,2,5,6,1]=>[4,3,2,5,7,6,1]=>[1,6,7,5,2,3,4]=>[[1,2,3,7],[4,6],[5]]=>14 [7,4,3,2,6,1,5]=>[4,3,7,2,1,6,5]=>[5,6,1,2,7,3,4]=>[[1,2,5,7],[3,4,6]]=>14 [7,4,3,2,6,5,1]=>[4,3,7,2,6,5,1]=>[1,5,6,2,7,3,4]=>[[1,2,3,5],[4,6,7]]=>15 [7,4,3,5,1,2,6]=>[4,3,1,5,2,7,6]=>[6,7,2,5,1,3,4]=>[[1,2,7],[3,4],[5,6]]=>13 [7,4,3,5,1,6,2]=>[4,3,1,5,7,6,2]=>[2,6,7,5,1,3,4]=>[[1,2,3],[4,6,7],[5]]=>14 [7,4,3,5,2,1,6]=>[4,3,5,2,1,7,6]=>[6,7,1,2,5,3,4]=>[[1,2,5,7],[3,4],[6]]=>14 [7,4,3,5,2,6,1]=>[4,3,5,2,7,6,1]=>[1,6,7,2,5,3,4]=>[[1,2,3,7],[4,5],[6]]=>15 [7,4,3,5,6,1,2]=>[4,3,5,1,7,6,2]=>[2,6,7,1,5,3,4]=>[[1,2,3],[4,5,7],[6]]=>15 [7,4,3,5,6,2,1]=>[4,3,5,7,6,2,1]=>[1,2,6,7,5,3,4]=>[[1,2,3,4],[5,7],[6]]=>16 [7,4,3,6,1,2,5]=>[4,1,7,3,2,6,5]=>[5,6,2,3,7,1,4]=>[[1,2,5],[3,4,7],[6]]=>14 [7,4,3,6,1,5,2]=>[4,3,7,1,6,5,2]=>[2,5,6,1,7,3,4]=>[[1,2,3,5],[4,6,7]]=>15 [7,4,3,6,2,1,5]=>[4,7,3,2,1,6,5]=>[5,6,1,2,3,7,4]=>[[1,2,5,6],[3,4,7]]=>15 [7,4,3,6,2,5,1]=>[4,7,3,2,6,5,1]=>[1,5,6,2,3,7,4]=>[[1,2,3,6],[4,5,7]]=>16 [7,4,3,6,5,1,2]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[1,2,3,6],[4,5,7]]=>16 [7,4,3,6,5,2,1]=>[4,7,3,6,5,2,1]=>[1,2,5,6,3,7,4]=>[[1,2,3,4,6],[5,7]]=>17 [7,4,5,1,2,3,6]=>[1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1]=>[[1,2],[3,4],[5,6],[7]]=>12 [7,4,5,1,2,6,3]=>[1,4,2,5,7,6,3]=>[3,6,7,5,2,4,1]=>[[1,2,3],[4,6],[5],[7]]=>13 [7,4,5,1,3,2,6]=>[1,4,5,3,2,7,6]=>[6,7,2,3,5,4,1]=>[[1,2,5],[3,4],[6],[7]]=>13 [7,4,5,1,3,6,2]=>[1,4,5,3,7,6,2]=>[2,6,7,3,5,4,1]=>[[1,2,3],[4,5],[6],[7]]=>14 [7,4,5,1,6,2,3]=>[1,4,5,2,7,6,3]=>[3,6,7,2,5,4,1]=>[[1,2,3],[4,5],[6],[7]]=>14 [7,4,5,1,6,3,2]=>[1,4,5,7,6,3,2]=>[2,3,6,7,5,4,1]=>[[1,2,3,4],[5],[6],[7]]=>15 [7,4,5,2,1,3,6]=>[4,2,1,5,3,7,6]=>[6,7,3,5,1,2,4]=>[[1,2,7],[3,4],[5,6]]=>13 [7,4,5,2,1,6,3]=>[4,2,1,5,7,6,3]=>[3,6,7,5,1,2,4]=>[[1,2,3],[4,6,7],[5]]=>14 [7,4,5,2,3,1,6]=>[4,2,5,3,1,7,6]=>[6,7,1,3,5,2,4]=>[[1,2,5],[3,4],[6,7]]=>14 [7,4,5,2,3,6,1]=>[4,2,5,3,7,6,1]=>[1,6,7,3,5,2,4]=>[[1,2,3],[4,5],[6,7]]=>15 [7,4,5,2,6,1,3]=>[4,2,5,1,7,6,3]=>[3,6,7,1,5,2,4]=>[[1,2,3],[4,5,7],[6]]=>15 [7,4,5,2,6,3,1]=>[4,2,5,7,6,3,1]=>[1,3,6,7,5,2,4]=>[[1,2,3,4],[5,7],[6]]=>16 [7,4,5,3,1,2,6]=>[4,1,5,3,2,7,6]=>[6,7,2,3,5,1,4]=>[[1,2,5],[3,4],[6,7]]=>14 [7,4,5,3,1,6,2]=>[4,1,5,3,7,6,2]=>[2,6,7,3,5,1,4]=>[[1,2,3],[4,5],[6,7]]=>15 [7,4,5,3,2,1,6]=>[4,5,3,2,1,7,6]=>[6,7,1,2,3,5,4]=>[[1,2,5,6],[3,4],[7]]=>15 [7,4,5,3,2,6,1]=>[4,5,3,2,7,6,1]=>[1,6,7,2,3,5,4]=>[[1,2,3,6],[4,5],[7]]=>16 [7,4,5,3,6,1,2]=>[4,5,3,1,7,6,2]=>[2,6,7,1,3,5,4]=>[[1,2,3],[4,5,6],[7]]=>16 [7,4,5,3,6,2,1]=>[4,5,3,7,6,2,1]=>[1,2,6,7,3,5,4]=>[[1,2,3,4],[5,6],[7]]=>17 [7,4,5,6,1,2,3]=>[4,1,5,2,7,6,3]=>[3,6,7,2,5,1,4]=>[[1,2,3],[4,5],[6,7]]=>15 [7,4,5,6,1,3,2]=>[4,1,5,7,6,3,2]=>[2,3,6,7,5,1,4]=>[[1,2,3,4],[5,7],[6]]=>16 [7,4,5,6,2,1,3]=>[4,5,2,1,7,6,3]=>[3,6,7,1,2,5,4]=>[[1,2,3],[4,5,6],[7]]=>16 [7,4,5,6,2,3,1]=>[4,5,2,7,6,3,1]=>[1,3,6,7,2,5,4]=>[[1,2,3,4],[5,6],[7]]=>17 [7,4,5,6,3,1,2]=>[4,5,1,7,6,3,2]=>[2,3,6,7,1,5,4]=>[[1,2,3,4],[5,6],[7]]=>17 [7,4,5,6,3,2,1]=>[4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4]=>[[1,2,3,4,5],[6],[7]]=>18 [7,4,6,1,2,3,5]=>[1,2,7,4,3,6,5]=>[5,6,3,4,7,2,1]=>[[1,2,5],[3,4],[6],[7]]=>13 [7,4,6,1,2,5,3]=>[1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1]=>[[1,2,3,5],[4,6],[7]]=>14 [7,4,6,1,3,2,5]=>[7,1,4,3,2,6,5]=>[5,6,2,3,4,1,7]=>[[1,2,5,7],[3,4],[6]]=>14 [7,4,6,1,3,5,2]=>[4,1,7,3,6,5,2]=>[2,5,6,3,7,1,4]=>[[1,2,3,5],[4,7],[6]]=>15 [7,4,6,1,5,2,3]=>[4,1,7,2,6,5,3]=>[3,5,6,2,7,1,4]=>[[1,2,3,5],[4,7],[6]]=>15 [7,4,6,1,5,3,2]=>[7,1,4,6,5,3,2]=>[2,3,5,6,4,1,7]=>[[1,2,3,4,7],[5],[6]]=>16 [7,4,6,2,1,3,5]=>[2,1,7,4,3,6,5]=>[5,6,3,4,7,1,2]=>[[1,2,5],[3,4],[6,7]]=>14 [7,4,6,2,1,5,3]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[[1,2,3,5],[4,6,7]]=>15 [7,4,6,2,3,1,5]=>[2,7,4,3,1,6,5]=>[5,6,1,3,4,7,2]=>[[1,2,5,6],[3,4],[7]]=>15 [7,4,6,2,3,5,1]=>[2,7,4,3,6,5,1]=>[1,5,6,3,4,7,2]=>[[1,2,3,6],[4,5],[7]]=>16 [7,4,6,2,5,1,3]=>[4,7,2,1,6,5,3]=>[3,5,6,1,2,7,4]=>[[1,2,3,6],[4,5,7]]=>16 [7,4,6,2,5,3,1]=>[4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4]=>[[1,2,3,4,6],[5,7]]=>17 [7,4,6,3,1,2,5]=>[1,7,4,3,2,6,5]=>[5,6,2,3,4,7,1]=>[[1,2,5,6],[3,4],[7]]=>15 [7,4,6,3,1,5,2]=>[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>[[1,2,3,6],[4,5],[7]]=>16 [7,4,6,3,2,1,5]=>[7,4,3,2,1,6,5]=>[5,6,1,2,3,4,7]=>[[1,2,5,6,7],[3,4]]=>16 [7,4,6,3,2,5,1]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[[1,2,3,6,7],[4,5]]=>17 [7,4,6,3,5,1,2]=>[7,4,3,1,6,5,2]=>[2,5,6,1,3,4,7]=>[[1,2,3,7],[4,5,6]]=>17 [7,4,6,3,5,2,1]=>[7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7]=>[[1,2,3,4,7],[5,6]]=>18 [7,4,6,5,1,2,3]=>[1,7,4,2,6,5,3]=>[3,5,6,2,4,7,1]=>[[1,2,3,6],[4,5],[7]]=>16 [7,4,6,5,1,3,2]=>[4,7,1,6,5,3,2]=>[2,3,5,6,1,7,4]=>[[1,2,3,4,6],[5,7]]=>17 [7,4,6,5,2,1,3]=>[7,4,2,1,6,5,3]=>[3,5,6,1,2,4,7]=>[[1,2,3,7],[4,5,6]]=>17 [7,4,6,5,2,3,1]=>[7,4,2,6,5,3,1]=>[1,3,5,6,2,4,7]=>[[1,2,3,4,7],[5,6]]=>18 [7,4,6,5,3,1,2]=>[7,4,1,6,5,3,2]=>[2,3,5,6,1,4,7]=>[[1,2,3,4,7],[5,6]]=>18 [7,4,6,5,3,2,1]=>[7,4,6,5,3,2,1]=>[1,2,3,5,6,4,7]=>[[1,2,3,4,5,7],[6]]=>19 [7,5,1,2,3,4,6]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>10 [7,5,1,2,3,6,4]=>[1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>11 [7,5,1,2,4,3,6]=>[5,1,2,4,3,7,6]=>[6,7,3,4,2,1,5]=>[[1,2,7],[3,4],[5],[6]]=>11 [7,5,1,2,4,6,3]=>[5,1,2,4,7,6,3]=>[3,6,7,4,2,1,5]=>[[1,2,3],[4,7],[5],[6]]=>12 [7,5,1,2,6,3,4]=>[5,1,2,3,7,6,4]=>[4,6,7,3,2,1,5]=>[[1,2,3],[4,7],[5],[6]]=>12 [7,5,1,2,6,4,3]=>[1,7,2,5,6,4,3]=>[3,4,6,5,2,7,1]=>[[1,2,3,6],[4],[5],[7]]=>13 [7,5,1,3,2,4,6]=>[3,1,2,5,4,7,6]=>[6,7,4,5,2,1,3]=>[[1,2],[3,4],[5,7],[6]]=>11 [7,5,1,3,2,6,4]=>[3,1,2,5,7,6,4]=>[4,6,7,5,2,1,3]=>[[1,2,3],[4,7],[5],[6]]=>12 [7,5,1,3,4,2,6]=>[1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1]=>[[1,2,6],[3,4],[5],[7]]=>12 [7,5,1,3,4,6,2]=>[1,5,3,4,7,6,2]=>[2,6,7,4,3,5,1]=>[[1,2,3],[4,6],[5],[7]]=>13 [7,5,1,3,6,2,4]=>[3,5,1,2,7,6,4]=>[4,6,7,2,1,5,3]=>[[1,2,3],[4,6],[5,7]]=>13 [7,5,1,3,6,4,2]=>[1,3,7,5,6,4,2]=>[2,4,6,5,7,3,1]=>[[1,2,3,5],[4],[6],[7]]=>14 [7,5,1,4,2,3,6]=>[1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1]=>[[1,2,6],[3,4],[5],[7]]=>12 [7,5,1,4,2,6,3]=>[1,5,2,4,7,6,3]=>[3,6,7,4,2,5,1]=>[[1,2,3],[4,6],[5],[7]]=>13 [7,5,1,4,3,2,6]=>[5,4,1,3,2,7,6]=>[6,7,2,3,1,4,5]=>[[1,2,6,7],[3,4],[5]]=>13 [7,5,1,4,3,6,2]=>[5,4,1,3,7,6,2]=>[2,6,7,3,1,4,5]=>[[1,2,3,7],[4,6],[5]]=>14 [7,5,1,4,6,2,3]=>[5,4,1,2,7,6,3]=>[3,6,7,2,1,4,5]=>[[1,2,3],[4,6,7],[5]]=>14 [7,5,1,4,6,3,2]=>[7,1,5,4,6,3,2]=>[2,3,6,4,5,1,7]=>[[1,2,3,5,7],[4],[6]]=>15 [7,5,1,6,2,3,4]=>[1,5,2,3,7,6,4]=>[4,6,7,3,2,5,1]=>[[1,2,3],[4,6],[5],[7]]=>13 [7,5,1,6,2,4,3]=>[1,2,7,5,6,4,3]=>[3,4,6,5,7,2,1]=>[[1,2,3,5],[4],[6],[7]]=>14 [7,5,1,6,3,2,4]=>[5,3,1,2,7,6,4]=>[4,6,7,2,1,3,5]=>[[1,2,3],[4,6,7],[5]]=>14 [7,5,1,6,3,4,2]=>[7,1,5,3,6,4,2]=>[2,4,6,3,5,1,7]=>[[1,2,3,7],[4,5],[6]]=>15 [7,5,1,6,4,2,3]=>[7,1,5,2,6,4,3]=>[3,4,6,2,5,1,7]=>[[1,2,3,7],[4,5],[6]]=>15 [7,5,1,6,4,3,2]=>[5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5]=>[[1,2,3,5,6],[4,7]]=>16 [7,5,2,1,3,4,6]=>[2,1,3,5,4,7,6]=>[6,7,4,5,3,1,2]=>[[1,2],[3,4],[5,7],[6]]=>11 [7,5,2,1,3,6,4]=>[2,1,3,5,7,6,4]=>[4,6,7,5,3,1,2]=>[[1,2,3],[4,7],[5],[6]]=>12 [7,5,2,1,4,3,6]=>[2,5,1,4,3,7,6]=>[6,7,3,4,1,5,2]=>[[1,2,6],[3,4],[5,7]]=>12 [7,5,2,1,4,6,3]=>[2,5,1,4,7,6,3]=>[3,6,7,4,1,5,2]=>[[1,2,3],[4,6],[5,7]]=>13 [7,5,2,1,6,3,4]=>[2,5,1,3,7,6,4]=>[4,6,7,3,1,5,2]=>[[1,2,3],[4,6],[5,7]]=>13 [7,5,2,1,6,4,3]=>[7,2,1,5,6,4,3]=>[3,4,6,5,1,2,7]=>[[1,2,3,7],[4,6],[5]]=>14 [7,5,2,3,1,4,6]=>[2,3,1,5,4,7,6]=>[6,7,4,5,1,3,2]=>[[1,2],[3,4],[5,6],[7]]=>12 [7,5,2,3,1,6,4]=>[2,3,1,5,7,6,4]=>[4,6,7,5,1,3,2]=>[[1,2,3],[4,6],[5],[7]]=>13 [7,5,2,3,4,1,6]=>[2,3,5,4,1,7,6]=>[6,7,1,4,5,3,2]=>[[1,2,5],[3,4],[6],[7]]=>13 [7,5,2,3,4,6,1]=>[2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2]=>[[1,2,3],[4,5],[6],[7]]=>14 [7,5,2,3,6,1,4]=>[2,3,5,1,7,6,4]=>[4,6,7,1,5,3,2]=>[[1,2,3],[4,5],[6],[7]]=>14 [7,5,2,3,6,4,1]=>[2,3,5,7,6,4,1]=>[1,4,6,7,5,3,2]=>[[1,2,3,4],[5],[6],[7]]=>15 [7,5,2,4,1,3,6]=>[5,2,1,4,3,7,6]=>[6,7,3,4,1,2,5]=>[[1,2,7],[3,4],[5,6]]=>13 [7,5,2,4,1,6,3]=>[5,2,1,4,7,6,3]=>[3,6,7,4,1,2,5]=>[[1,2,3],[4,6,7],[5]]=>14 [7,5,2,4,3,1,6]=>[5,2,4,3,1,7,6]=>[6,7,1,3,4,2,5]=>[[1,2,5,7],[3,4],[6]]=>14 [7,5,2,4,3,6,1]=>[5,2,4,3,7,6,1]=>[1,6,7,3,4,2,5]=>[[1,2,3,7],[4,5],[6]]=>15 [7,5,2,4,6,1,3]=>[5,2,4,1,7,6,3]=>[3,6,7,1,4,2,5]=>[[1,2,3],[4,5,7],[6]]=>15 [7,5,2,4,6,3,1]=>[5,2,4,7,6,3,1]=>[1,3,6,7,4,2,5]=>[[1,2,3,4],[5,7],[6]]=>16 [7,5,2,6,1,3,4]=>[5,2,1,3,7,6,4]=>[4,6,7,3,1,2,5]=>[[1,2,3],[4,6,7],[5]]=>14 [7,5,2,6,1,4,3]=>[2,1,7,5,6,4,3]=>[3,4,6,5,7,1,2]=>[[1,2,3,5],[4,7],[6]]=>15 [7,5,2,6,3,1,4]=>[5,2,3,1,7,6,4]=>[4,6,7,1,3,2,5]=>[[1,2,3],[4,5,7],[6]]=>15 [7,5,2,6,3,4,1]=>[5,2,3,7,6,4,1]=>[1,4,6,7,3,2,5]=>[[1,2,3,4],[5,7],[6]]=>16 [7,5,2,6,4,1,3]=>[2,7,5,1,6,4,3]=>[3,4,6,1,5,7,2]=>[[1,2,3,6],[4,5],[7]]=>16 [7,5,2,6,4,3,1]=>[2,7,5,6,4,3,1]=>[1,3,4,6,5,7,2]=>[[1,2,3,4,6],[5],[7]]=>17 [7,5,3,1,2,4,6]=>[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>[[1,2],[3,4],[5,6],[7]]=>12 [7,5,3,1,2,6,4]=>[1,3,2,5,7,6,4]=>[4,6,7,5,2,3,1]=>[[1,2,3],[4,6],[5],[7]]=>13 [7,5,3,1,4,2,6]=>[1,3,5,4,2,7,6]=>[6,7,2,4,5,3,1]=>[[1,2,5],[3,4],[6],[7]]=>13 [7,5,3,1,4,6,2]=>[1,3,5,4,7,6,2]=>[2,6,7,4,5,3,1]=>[[1,2,3],[4,5],[6],[7]]=>14 [7,5,3,1,6,2,4]=>[1,3,5,2,7,6,4]=>[4,6,7,2,5,3,1]=>[[1,2,3],[4,5],[6],[7]]=>14 [7,5,3,1,6,4,2]=>[1,3,5,7,6,4,2]=>[2,4,6,7,5,3,1]=>[[1,2,3,4],[5],[6],[7]]=>15 [7,5,3,2,1,4,6]=>[3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3]=>[[1,2,7],[3,4],[5,6]]=>13 [7,5,3,2,1,6,4]=>[3,2,1,5,7,6,4]=>[4,6,7,5,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>14 [7,5,3,2,4,1,6]=>[3,2,5,4,1,7,6]=>[6,7,1,4,5,2,3]=>[[1,2,5],[3,4],[6,7]]=>14 [7,5,3,2,4,6,1]=>[3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>15 [7,5,3,2,6,1,4]=>[3,2,5,1,7,6,4]=>[4,6,7,1,5,2,3]=>[[1,2,3],[4,5,7],[6]]=>15 [7,5,3,2,6,4,1]=>[3,2,5,7,6,4,1]=>[1,4,6,7,5,2,3]=>[[1,2,3,4],[5,7],[6]]=>16 [7,5,3,4,1,2,6]=>[3,1,5,4,2,7,6]=>[6,7,2,4,5,1,3]=>[[1,2,5],[3,4],[6,7]]=>14 [7,5,3,4,1,6,2]=>[3,1,5,4,7,6,2]=>[2,6,7,4,5,1,3]=>[[1,2,3],[4,5],[6,7]]=>15 [7,5,3,4,2,1,6]=>[3,5,4,2,1,7,6]=>[6,7,1,2,4,5,3]=>[[1,2,5,6],[3,4],[7]]=>15 [7,5,3,4,2,6,1]=>[3,5,4,2,7,6,1]=>[1,6,7,2,4,5,3]=>[[1,2,3,6],[4,5],[7]]=>16 [7,5,3,4,6,1,2]=>[3,5,4,1,7,6,2]=>[2,6,7,1,4,5,3]=>[[1,2,3],[4,5,6],[7]]=>16 [7,5,3,4,6,2,1]=>[3,5,4,7,6,2,1]=>[1,2,6,7,4,5,3]=>[[1,2,3,4],[5,6],[7]]=>17 [7,5,3,6,1,2,4]=>[3,1,5,2,7,6,4]=>[4,6,7,2,5,1,3]=>[[1,2,3],[4,5],[6,7]]=>15 [7,5,3,6,1,4,2]=>[3,1,5,7,6,4,2]=>[2,4,6,7,5,1,3]=>[[1,2,3,4],[5,7],[6]]=>16 [7,5,3,6,2,1,4]=>[3,5,2,1,7,6,4]=>[4,6,7,1,2,5,3]=>[[1,2,3],[4,5,6],[7]]=>16 [7,5,3,6,2,4,1]=>[3,5,2,7,6,4,1]=>[1,4,6,7,2,5,3]=>[[1,2,3,4],[5,6],[7]]=>17 [7,5,3,6,4,1,2]=>[3,5,1,7,6,4,2]=>[2,4,6,7,1,5,3]=>[[1,2,3,4],[5,6],[7]]=>17 [7,5,3,6,4,2,1]=>[3,5,7,6,4,2,1]=>[1,2,4,6,7,5,3]=>[[1,2,3,4,5],[6],[7]]=>18 [7,5,4,1,2,3,6]=>[1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]=>[[1,2,5],[3,4],[6],[7]]=>13 [7,5,4,1,2,6,3]=>[1,2,5,4,7,6,3]=>[3,6,7,4,5,2,1]=>[[1,2,3],[4,5],[6],[7]]=>14 [7,5,4,1,3,2,6]=>[5,1,4,3,2,7,6]=>[6,7,2,3,4,1,5]=>[[1,2,5,7],[3,4],[6]]=>14 [7,5,4,1,3,6,2]=>[5,1,4,3,7,6,2]=>[2,6,7,3,4,1,5]=>[[1,2,3,7],[4,5],[6]]=>15 [7,5,4,1,6,2,3]=>[5,1,4,2,7,6,3]=>[3,6,7,2,4,1,5]=>[[1,2,3],[4,5,7],[6]]=>15 [7,5,4,1,6,3,2]=>[5,1,4,7,6,3,2]=>[2,3,6,7,4,1,5]=>[[1,2,3,4],[5,7],[6]]=>16 [7,5,4,2,1,3,6]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>14 [7,5,4,2,1,6,3]=>[2,1,5,4,7,6,3]=>[3,6,7,4,5,1,2]=>[[1,2,3],[4,5],[6,7]]=>15 [7,5,4,2,3,1,6]=>[2,5,4,3,1,7,6]=>[6,7,1,3,4,5,2]=>[[1,2,5,6],[3,4],[7]]=>15 [7,5,4,2,3,6,1]=>[2,5,4,3,7,6,1]=>[1,6,7,3,4,5,2]=>[[1,2,3,6],[4,5],[7]]=>16 [7,5,4,2,6,1,3]=>[2,5,4,1,7,6,3]=>[3,6,7,1,4,5,2]=>[[1,2,3],[4,5,6],[7]]=>16 [7,5,4,2,6,3,1]=>[2,5,4,7,6,3,1]=>[1,3,6,7,4,5,2]=>[[1,2,3,4],[5,6],[7]]=>17 [7,5,4,3,1,2,6]=>[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>[[1,2,5,6],[3,4],[7]]=>15 [7,5,4,3,1,6,2]=>[1,5,4,3,7,6,2]=>[2,6,7,3,4,5,1]=>[[1,2,3,6],[4,5],[7]]=>16 [7,5,4,3,2,1,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[1,2,5,6,7],[3,4]]=>16 [7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5]=>[[1,2,3,6,7],[4,5]]=>17 [7,5,4,3,6,1,2]=>[5,4,3,1,7,6,2]=>[2,6,7,1,3,4,5]=>[[1,2,3,7],[4,5,6]]=>17 [7,5,4,3,6,2,1]=>[5,4,3,7,6,2,1]=>[1,2,6,7,3,4,5]=>[[1,2,3,4,7],[5,6]]=>18 [7,5,4,6,1,2,3]=>[1,5,4,2,7,6,3]=>[3,6,7,2,4,5,1]=>[[1,2,3],[4,5,6],[7]]=>16 [7,5,4,6,1,3,2]=>[1,5,4,7,6,3,2]=>[2,3,6,7,4,5,1]=>[[1,2,3,4],[5,6],[7]]=>17 [7,5,4,6,2,1,3]=>[5,4,2,1,7,6,3]=>[3,6,7,1,2,4,5]=>[[1,2,3,7],[4,5,6]]=>17 [7,5,4,6,2,3,1]=>[5,4,2,7,6,3,1]=>[1,3,6,7,2,4,5]=>[[1,2,3,4],[5,6,7]]=>18 [7,5,4,6,3,1,2]=>[5,4,1,7,6,3,2]=>[2,3,6,7,1,4,5]=>[[1,2,3,4],[5,6,7]]=>18 [7,5,4,6,3,2,1]=>[5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5]=>[[1,2,3,4,5],[6,7]]=>19 [7,5,6,1,2,3,4]=>[1,2,5,3,7,6,4]=>[4,6,7,3,5,2,1]=>[[1,2,3],[4,5],[6],[7]]=>14 [7,5,6,1,2,4,3]=>[1,2,5,7,6,4,3]=>[3,4,6,7,5,2,1]=>[[1,2,3,4],[5],[6],[7]]=>15 [7,5,6,1,3,2,4]=>[5,1,3,2,7,6,4]=>[4,6,7,2,3,1,5]=>[[1,2,3],[4,5,7],[6]]=>15 [7,5,6,1,3,4,2]=>[5,1,3,7,6,4,2]=>[2,4,6,7,3,1,5]=>[[1,2,3,4],[5,7],[6]]=>16 [7,5,6,1,4,2,3]=>[5,1,2,7,6,4,3]=>[3,4,6,7,2,1,5]=>[[1,2,3,4],[5,7],[6]]=>16 [7,5,6,1,4,3,2]=>[1,7,5,6,4,3,2]=>[2,3,4,6,5,7,1]=>[[1,2,3,4,6],[5],[7]]=>17 [7,5,6,2,1,3,4]=>[2,1,5,3,7,6,4]=>[4,6,7,3,5,1,2]=>[[1,2,3],[4,5],[6,7]]=>15 [7,5,6,2,1,4,3]=>[2,1,5,7,6,4,3]=>[3,4,6,7,5,1,2]=>[[1,2,3,4],[5,7],[6]]=>16 [7,5,6,2,3,1,4]=>[2,5,3,1,7,6,4]=>[4,6,7,1,3,5,2]=>[[1,2,3],[4,5,6],[7]]=>16 [7,5,6,2,3,4,1]=>[2,5,3,7,6,4,1]=>[1,4,6,7,3,5,2]=>[[1,2,3,4],[5,6],[7]]=>17 [7,5,6,2,4,1,3]=>[2,5,1,7,6,4,3]=>[3,4,6,7,1,5,2]=>[[1,2,3,4],[5,6],[7]]=>17 [7,5,6,2,4,3,1]=>[2,5,7,6,4,3,1]=>[1,3,4,6,7,5,2]=>[[1,2,3,4,5],[6],[7]]=>18 [7,5,6,3,1,2,4]=>[1,5,3,2,7,6,4]=>[4,6,7,2,3,5,1]=>[[1,2,3],[4,5,6],[7]]=>16 [7,5,6,3,1,4,2]=>[1,5,3,7,6,4,2]=>[2,4,6,7,3,5,1]=>[[1,2,3,4],[5,6],[7]]=>17 [7,5,6,3,2,1,4]=>[5,3,2,1,7,6,4]=>[4,6,7,1,2,3,5]=>[[1,2,3,7],[4,5,6]]=>17 [7,5,6,3,2,4,1]=>[5,3,2,7,6,4,1]=>[1,4,6,7,2,3,5]=>[[1,2,3,4],[5,6,7]]=>18 [7,5,6,3,4,1,2]=>[5,3,1,7,6,4,2]=>[2,4,6,7,1,3,5]=>[[1,2,3,4],[5,6,7]]=>18 [7,5,6,3,4,2,1]=>[5,3,7,6,4,2,1]=>[1,2,4,6,7,3,5]=>[[1,2,3,4,5],[6,7]]=>19 [7,5,6,4,1,2,3]=>[1,5,2,7,6,4,3]=>[3,4,6,7,2,5,1]=>[[1,2,3,4],[5,6],[7]]=>17 [7,5,6,4,1,3,2]=>[1,5,7,6,4,3,2]=>[2,3,4,6,7,5,1]=>[[1,2,3,4,5],[6],[7]]=>18 [7,5,6,4,2,1,3]=>[5,2,1,7,6,4,3]=>[3,4,6,7,1,2,5]=>[[1,2,3,4],[5,6,7]]=>18 [7,5,6,4,2,3,1]=>[5,2,7,6,4,3,1]=>[1,3,4,6,7,2,5]=>[[1,2,3,4,5],[6,7]]=>19 [7,5,6,4,3,1,2]=>[5,1,7,6,4,3,2]=>[2,3,4,6,7,1,5]=>[[1,2,3,4,5],[6,7]]=>19 [7,5,6,4,3,2,1]=>[5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5]=>[[1,2,3,4,5,6],[7]]=>20 [7,6,1,2,3,4,5]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>11 [7,6,1,2,3,5,4]=>[7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7]=>[[1,2,3,7],[4],[5],[6]]=>12 [7,6,1,2,4,3,5]=>[4,1,2,3,7,6,5]=>[5,6,7,3,2,1,4]=>[[1,2,3],[4,7],[5],[6]]=>12 [7,6,1,2,4,5,3]=>[1,7,2,4,6,5,3]=>[3,5,6,4,2,7,1]=>[[1,2,3,6],[4],[5],[7]]=>13 [7,6,1,2,5,3,4]=>[1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1]=>[[1,2,3,6],[4],[5],[7]]=>13 [7,6,1,2,5,4,3]=>[7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7]=>[[1,2,3,6,7],[4],[5]]=>14 [7,6,1,3,2,4,5]=>[3,1,2,4,7,6,5]=>[5,6,7,4,2,1,3]=>[[1,2,3],[4,7],[5],[6]]=>12 [7,6,1,3,2,5,4]=>[3,7,1,2,6,5,4]=>[4,5,6,2,1,7,3]=>[[1,2,3,6],[4,7],[5]]=>13 [7,6,1,3,4,2,5]=>[3,4,1,2,7,6,5]=>[5,6,7,2,1,4,3]=>[[1,2,3],[4,6],[5,7]]=>13 [7,6,1,3,4,5,2]=>[1,3,7,4,6,5,2]=>[2,5,6,4,7,3,1]=>[[1,2,3,5],[4],[6],[7]]=>14 [7,6,1,3,5,2,4]=>[7,3,1,2,6,5,4]=>[4,5,6,2,1,3,7]=>[[1,2,3,7],[4,6],[5]]=>14 [7,6,1,3,5,4,2]=>[7,1,6,3,5,4,2]=>[2,4,5,3,6,1,7]=>[[1,2,3,5,7],[4],[6]]=>15 [7,6,1,4,2,3,5]=>[1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1]=>[[1,2,3],[4,6],[5],[7]]=>13 [7,6,1,4,2,5,3]=>[1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]=>[[1,2,3,5],[4],[6],[7]]=>14 [7,6,1,4,3,2,5]=>[4,3,1,2,7,6,5]=>[5,6,7,2,1,3,4]=>[[1,2,3],[4,6,7],[5]]=>14 [7,6,1,4,3,5,2]=>[7,1,4,3,6,5,2]=>[2,5,6,3,4,1,7]=>[[1,2,3,7],[4,5],[6]]=>15 [7,6,1,4,5,2,3]=>[7,1,4,2,6,5,3]=>[3,5,6,2,4,1,7]=>[[1,2,3,7],[4,5],[6]]=>15 [7,6,1,4,5,3,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[1,2,3,5,6],[4],[7]]=>16 [7,6,1,5,2,3,4]=>[1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1]=>[[1,2,3,5],[4],[6],[7]]=>14 [7,6,1,5,2,4,3]=>[7,1,6,2,5,4,3]=>[3,4,5,2,6,1,7]=>[[1,2,3,5,7],[4],[6]]=>15 [7,6,1,5,3,2,4]=>[7,1,3,2,6,5,4]=>[4,5,6,2,3,1,7]=>[[1,2,3,7],[4,5],[6]]=>15 [7,6,1,5,3,4,2]=>[1,7,6,3,5,4,2]=>[2,4,5,3,6,7,1]=>[[1,2,3,5,6],[4],[7]]=>16 [7,6,1,5,4,2,3]=>[1,7,6,2,5,4,3]=>[3,4,5,2,6,7,1]=>[[1,2,3,5,6],[4],[7]]=>16 [7,6,1,5,4,3,2]=>[7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7]=>[[1,2,3,5,6,7],[4]]=>17 [7,6,2,1,3,4,5]=>[2,1,3,4,7,6,5]=>[5,6,7,4,3,1,2]=>[[1,2,3],[4,7],[5],[6]]=>12 [7,6,2,1,3,5,4]=>[2,7,1,3,6,5,4]=>[4,5,6,3,1,7,2]=>[[1,2,3,6],[4,7],[5]]=>13 [7,6,2,1,4,3,5]=>[2,4,1,3,7,6,5]=>[5,6,7,3,1,4,2]=>[[1,2,3],[4,6],[5,7]]=>13 [7,6,2,1,4,5,3]=>[7,2,1,4,6,5,3]=>[3,5,6,4,1,2,7]=>[[1,2,3,7],[4,6],[5]]=>14 [7,6,2,1,5,3,4]=>[7,2,1,3,6,5,4]=>[4,5,6,3,1,2,7]=>[[1,2,3,7],[4,6],[5]]=>14 [7,6,2,1,5,4,3]=>[7,2,6,1,5,4,3]=>[3,4,5,1,6,2,7]=>[[1,2,3,5,7],[4,6]]=>15 [7,6,2,3,1,4,5]=>[2,3,1,4,7,6,5]=>[5,6,7,4,1,3,2]=>[[1,2,3],[4,6],[5],[7]]=>13 [7,6,2,3,1,5,4]=>[2,3,7,1,6,5,4]=>[4,5,6,1,7,3,2]=>[[1,2,3,5],[4,6],[7]]=>14 [7,6,2,3,4,1,5]=>[2,3,4,1,7,6,5]=>[5,6,7,1,4,3,2]=>[[1,2,3],[4,5],[6],[7]]=>14 [7,6,2,3,4,5,1]=>[2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2]=>[[1,2,3,4],[5],[6],[7]]=>15 [7,6,2,3,5,1,4]=>[7,2,3,1,6,5,4]=>[4,5,6,1,3,2,7]=>[[1,2,3,7],[4,5],[6]]=>15 [7,6,2,3,5,4,1]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[[1,2,3,4,7],[5],[6]]=>16 [7,6,2,4,1,3,5]=>[4,2,1,3,7,6,5]=>[5,6,7,3,1,2,4]=>[[1,2,3],[4,6,7],[5]]=>14 [7,6,2,4,1,5,3]=>[2,1,7,4,6,5,3]=>[3,5,6,4,7,1,2]=>[[1,2,3,5],[4,7],[6]]=>15 [7,6,2,4,3,1,5]=>[4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]=>[[1,2,3],[4,5,7],[6]]=>15 [7,6,2,4,3,5,1]=>[4,2,3,7,6,5,1]=>[1,5,6,7,3,2,4]=>[[1,2,3,4],[5,7],[6]]=>16 [7,6,2,4,5,1,3]=>[2,7,4,1,6,5,3]=>[3,5,6,1,4,7,2]=>[[1,2,3,6],[4,5],[7]]=>16 [7,6,2,4,5,3,1]=>[2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2]=>[[1,2,3,4,6],[5],[7]]=>17 [7,6,2,5,1,3,4]=>[2,1,7,3,6,5,4]=>[4,5,6,3,7,1,2]=>[[1,2,3,5],[4,7],[6]]=>15 [7,6,2,5,1,4,3]=>[2,7,6,1,5,4,3]=>[3,4,5,1,6,7,2]=>[[1,2,3,5,6],[4,7]]=>16 [7,6,2,5,3,1,4]=>[2,7,3,1,6,5,4]=>[4,5,6,1,3,7,2]=>[[1,2,3,6],[4,5],[7]]=>16 [7,6,2,5,3,4,1]=>[2,7,3,6,5,4,1]=>[1,4,5,6,3,7,2]=>[[1,2,3,4,6],[5],[7]]=>17 [7,6,2,5,4,1,3]=>[7,6,2,1,5,4,3]=>[3,4,5,1,2,6,7]=>[[1,2,3,6,7],[4,5]]=>17 [7,6,2,5,4,3,1]=>[7,6,2,5,4,3,1]=>[1,3,4,5,2,6,7]=>[[1,2,3,4,6,7],[5]]=>18 [7,6,3,1,2,4,5]=>[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>[[1,2,3],[4,6],[5],[7]]=>13 [7,6,3,1,2,5,4]=>[1,3,7,2,6,5,4]=>[4,5,6,2,7,3,1]=>[[1,2,3,5],[4,6],[7]]=>14 [7,6,3,1,4,2,5]=>[1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1]=>[[1,2,3],[4,5],[6],[7]]=>14 [7,6,3,1,4,5,2]=>[1,3,4,7,6,5,2]=>[2,5,6,7,4,3,1]=>[[1,2,3,4],[5],[6],[7]]=>15 [7,6,3,1,5,2,4]=>[3,1,7,2,6,5,4]=>[4,5,6,2,7,1,3]=>[[1,2,3,5],[4,7],[6]]=>15 [7,6,3,1,5,4,2]=>[7,1,3,6,5,4,2]=>[2,4,5,6,3,1,7]=>[[1,2,3,4,7],[5],[6]]=>16 [7,6,3,2,1,4,5]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>14 [7,6,3,2,1,5,4]=>[3,2,7,1,6,5,4]=>[4,5,6,1,7,2,3]=>[[1,2,3,5],[4,6,7]]=>15 [7,6,3,2,4,1,5]=>[3,2,4,1,7,6,5]=>[5,6,7,1,4,2,3]=>[[1,2,3],[4,5,7],[6]]=>15 [7,6,3,2,4,5,1]=>[3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3]=>[[1,2,3,4],[5,7],[6]]=>16 [7,6,3,2,5,1,4]=>[3,7,2,1,6,5,4]=>[4,5,6,1,2,7,3]=>[[1,2,3,6],[4,5,7]]=>16 [7,6,3,2,5,4,1]=>[3,7,2,6,5,4,1]=>[1,4,5,6,2,7,3]=>[[1,2,3,4,6],[5,7]]=>17 [7,6,3,4,1,2,5]=>[3,1,4,2,7,6,5]=>[5,6,7,2,4,1,3]=>[[1,2,3],[4,5],[6,7]]=>15 [7,6,3,4,1,5,2]=>[3,1,4,7,6,5,2]=>[2,5,6,7,4,1,3]=>[[1,2,3,4],[5,7],[6]]=>16 [7,6,3,4,2,1,5]=>[3,4,2,1,7,6,5]=>[5,6,7,1,2,4,3]=>[[1,2,3],[4,5,6],[7]]=>16 [7,6,3,4,2,5,1]=>[3,4,2,7,6,5,1]=>[1,5,6,7,2,4,3]=>[[1,2,3,4],[5,6],[7]]=>17 [7,6,3,4,5,1,2]=>[3,4,1,7,6,5,2]=>[2,5,6,7,1,4,3]=>[[1,2,3,4],[5,6],[7]]=>17 [7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>[1,2,5,6,7,4,3]=>[[1,2,3,4,5],[6],[7]]=>18 [7,6,3,5,1,2,4]=>[1,7,3,2,6,5,4]=>[4,5,6,2,3,7,1]=>[[1,2,3,6],[4,5],[7]]=>16 [7,6,3,5,1,4,2]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[1,2,3,4,6],[5,7]]=>17 [7,6,3,5,2,1,4]=>[7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7]=>[[1,2,3,7],[4,5,6]]=>17 [7,6,3,5,2,4,1]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[[1,2,3,4,7],[5,6]]=>18 [7,6,3,5,4,1,2]=>[7,3,1,6,5,4,2]=>[2,4,5,6,1,3,7]=>[[1,2,3,4,7],[5,6]]=>18 [7,6,3,5,4,2,1]=>[7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7]=>[[1,2,3,4,5,7],[6]]=>19 [7,6,4,1,2,3,5]=>[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>[[1,2,3],[4,5],[6],[7]]=>14 [7,6,4,1,2,5,3]=>[1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1]=>[[1,2,3,4],[5],[6],[7]]=>15 [7,6,4,1,3,2,5]=>[4,1,3,2,7,6,5]=>[5,6,7,2,3,1,4]=>[[1,2,3],[4,5,7],[6]]=>15 [7,6,4,1,3,5,2]=>[4,1,3,7,6,5,2]=>[2,5,6,7,3,1,4]=>[[1,2,3,4],[5,7],[6]]=>16 [7,6,4,1,5,2,3]=>[4,1,2,7,6,5,3]=>[3,5,6,7,2,1,4]=>[[1,2,3,4],[5,7],[6]]=>16 [7,6,4,1,5,3,2]=>[1,7,4,6,5,3,2]=>[2,3,5,6,4,7,1]=>[[1,2,3,4,6],[5],[7]]=>17 [7,6,4,2,1,3,5]=>[2,1,4,3,7,6,5]=>[5,6,7,3,4,1,2]=>[[1,2,3],[4,5],[6,7]]=>15 [7,6,4,2,1,5,3]=>[2,1,4,7,6,5,3]=>[3,5,6,7,4,1,2]=>[[1,2,3,4],[5,7],[6]]=>16 [7,6,4,2,3,1,5]=>[2,4,3,1,7,6,5]=>[5,6,7,1,3,4,2]=>[[1,2,3],[4,5,6],[7]]=>16 [7,6,4,2,3,5,1]=>[2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2]=>[[1,2,3,4],[5,6],[7]]=>17 [7,6,4,2,5,1,3]=>[2,4,1,7,6,5,3]=>[3,5,6,7,1,4,2]=>[[1,2,3,4],[5,6],[7]]=>17 [7,6,4,2,5,3,1]=>[2,4,7,6,5,3,1]=>[1,3,5,6,7,4,2]=>[[1,2,3,4,5],[6],[7]]=>18 [7,6,4,3,1,2,5]=>[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>[[1,2,3],[4,5,6],[7]]=>16 [7,6,4,3,1,5,2]=>[1,4,3,7,6,5,2]=>[2,5,6,7,3,4,1]=>[[1,2,3,4],[5,6],[7]]=>17 [7,6,4,3,2,1,5]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[[1,2,3,7],[4,5,6]]=>17 [7,6,4,3,2,5,1]=>[4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4]=>[[1,2,3,4],[5,6,7]]=>18 [7,6,4,3,5,1,2]=>[4,3,1,7,6,5,2]=>[2,5,6,7,1,3,4]=>[[1,2,3,4],[5,6,7]]=>18 [7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>[1,2,5,6,7,3,4]=>[[1,2,3,4,5],[6,7]]=>19 [7,6,4,5,1,2,3]=>[1,4,2,7,6,5,3]=>[3,5,6,7,2,4,1]=>[[1,2,3,4],[5,6],[7]]=>17 [7,6,4,5,1,3,2]=>[1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1]=>[[1,2,3,4,5],[6],[7]]=>18 [7,6,4,5,2,1,3]=>[4,2,1,7,6,5,3]=>[3,5,6,7,1,2,4]=>[[1,2,3,4],[5,6,7]]=>18 [7,6,4,5,2,3,1]=>[4,2,7,6,5,3,1]=>[1,3,5,6,7,2,4]=>[[1,2,3,4,5],[6,7]]=>19 [7,6,4,5,3,1,2]=>[4,1,7,6,5,3,2]=>[2,3,5,6,7,1,4]=>[[1,2,3,4,5],[6,7]]=>19 [7,6,4,5,3,2,1]=>[4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4]=>[[1,2,3,4,5,6],[7]]=>20 [7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>[[1,2,3,4],[5],[6],[7]]=>15 [7,6,5,1,2,4,3]=>[7,1,2,6,5,4,3]=>[3,4,5,6,2,1,7]=>[[1,2,3,4,7],[5],[6]]=>16 [7,6,5,1,3,2,4]=>[3,1,2,7,6,5,4]=>[4,5,6,7,2,1,3]=>[[1,2,3,4],[5,7],[6]]=>16 [7,6,5,1,3,4,2]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[1,2,3,4,6],[5],[7]]=>17 [7,6,5,1,4,2,3]=>[1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1]=>[[1,2,3,4,6],[5],[7]]=>17 [7,6,5,1,4,3,2]=>[7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7]=>[[1,2,3,4,6,7],[5]]=>18 [7,6,5,2,1,3,4]=>[2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]=>[[1,2,3,4],[5,7],[6]]=>16 [7,6,5,2,1,4,3]=>[2,7,1,6,5,4,3]=>[3,4,5,6,1,7,2]=>[[1,2,3,4,6],[5,7]]=>17 [7,6,5,2,3,1,4]=>[2,3,1,7,6,5,4]=>[4,5,6,7,1,3,2]=>[[1,2,3,4],[5,6],[7]]=>17 [7,6,5,2,3,4,1]=>[2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2]=>[[1,2,3,4,5],[6],[7]]=>18 [7,6,5,2,4,1,3]=>[7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7]=>[[1,2,3,4,7],[5,6]]=>18 [7,6,5,2,4,3,1]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[[1,2,3,4,5,7],[6]]=>19 [7,6,5,3,1,2,4]=>[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>[[1,2,3,4],[5,6],[7]]=>17 [7,6,5,3,1,4,2]=>[1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1]=>[[1,2,3,4,5],[6],[7]]=>18 [7,6,5,3,2,1,4]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[[1,2,3,4],[5,6,7]]=>18 [7,6,5,3,2,4,1]=>[3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3]=>[[1,2,3,4,5],[6,7]]=>19 [7,6,5,3,4,1,2]=>[3,1,7,6,5,4,2]=>[2,4,5,6,7,1,3]=>[[1,2,3,4,5],[6,7]]=>19 [7,6,5,3,4,2,1]=>[3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3]=>[[1,2,3,4,5,6],[7]]=>20 [7,6,5,4,1,2,3]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[1,2,3,4,5],[6],[7]]=>18 [7,6,5,4,1,3,2]=>[7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7]=>[[1,2,3,4,5,7],[6]]=>19 [7,6,5,4,2,1,3]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[1,2,3,4,5],[6,7]]=>19 [7,6,5,4,2,3,1]=>[2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2]=>[[1,2,3,4,5,6],[7]]=>20 [7,6,5,4,3,1,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[1,2,3,4,5,6],[7]]=>20 [7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7]]=>21 [8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8]]=>28 [7,8,6,5,4,3,2,1]=>[7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>[[1,2,3,4,5,6,7],[8]]=>27 [8,6,7,5,4,3,2,1]=>[6,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,6]=>[[1,2,3,4,5,6,7],[8]]=>27 [7,6,8,5,4,3,2,1]=>[7,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[[1,2,3,4,5,6,8],[7]]=>26 [6,7,8,5,4,3,2,1]=>[6,7,8,5,4,3,2,1]=>[1,2,3,4,5,8,7,6]=>[[1,2,3,4,5,6],[7],[8]]=>25 [8,7,5,6,4,3,2,1]=>[5,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,5]=>[[1,2,3,4,5,6,7],[8]]=>27 [7,8,5,6,4,3,2,1]=>[7,5,8,6,4,3,2,1]=>[1,2,3,4,6,8,5,7]=>[[1,2,3,4,5,6],[7,8]]=>26 [8,6,5,7,4,3,2,1]=>[6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6]=>[[1,2,3,4,5,6],[7,8]]=>26 [8,5,6,7,4,3,2,1]=>[5,6,8,7,4,3,2,1]=>[1,2,3,4,7,8,6,5]=>[[1,2,3,4,5,6],[7],[8]]=>25 [7,6,5,8,4,3,2,1]=>[7,6,5,8,4,3,2,1]=>[1,2,3,4,8,5,6,7]=>[[1,2,3,4,5,7,8],[6]]=>25 [6,7,5,8,4,3,2,1]=>[6,7,5,8,4,3,2,1]=>[1,2,3,4,8,5,7,6]=>[[1,2,3,4,5,7],[6],[8]]=>24 [7,5,6,8,4,3,2,1]=>[5,7,6,8,4,3,2,1]=>[1,2,3,4,8,6,7,5]=>[[1,2,3,4,5,7],[6],[8]]=>24 [6,5,7,8,4,3,2,1]=>[6,5,7,8,4,3,2,1]=>[1,2,3,4,8,7,5,6]=>[[1,2,3,4,5,8],[6],[7]]=>23 [5,6,7,8,4,3,2,1]=>[5,6,7,8,4,3,2,1]=>[1,2,3,4,8,7,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,4]=>[[1,2,3,4,5,6,7],[8]]=>27 [7,8,6,4,5,3,2,1]=>[7,4,8,6,5,3,2,1]=>[1,2,3,5,6,8,4,7]=>[[1,2,3,4,5,6],[7,8]]=>26 [8,6,7,4,5,3,2,1]=>[6,4,8,7,5,3,2,1]=>[1,2,3,5,7,8,4,6]=>[[1,2,3,4,5,6],[7,8]]=>26 [7,6,8,4,5,3,2,1]=>[7,6,4,8,5,3,2,1]=>[1,2,3,5,8,4,6,7]=>[[1,2,3,4,5,8],[6,7]]=>25 [6,7,8,4,5,3,2,1]=>[6,7,4,8,5,3,2,1]=>[1,2,3,5,8,4,7,6]=>[[1,2,3,4,5],[6,7],[8]]=>24 [8,7,5,4,6,3,2,1]=>[5,4,8,7,6,3,2,1]=>[1,2,3,6,7,8,4,5]=>[[1,2,3,4,5,6],[7,8]]=>26 [7,8,5,4,6,3,2,1]=>[7,5,4,8,6,3,2,1]=>[1,2,3,6,8,4,5,7]=>[[1,2,3,4,5,8],[6,7]]=>25 [8,7,4,5,6,3,2,1]=>[4,5,8,7,6,3,2,1]=>[1,2,3,6,7,8,5,4]=>[[1,2,3,4,5,6],[7],[8]]=>25 [7,8,4,5,6,3,2,1]=>[4,7,5,8,6,3,2,1]=>[1,2,3,6,8,5,7,4]=>[[1,2,3,4,5],[6,7],[8]]=>24 [8,6,5,4,7,3,2,1]=>[6,5,4,8,7,3,2,1]=>[1,2,3,7,8,4,5,6]=>[[1,2,3,4,5,8],[6,7]]=>25 [8,5,6,4,7,3,2,1]=>[5,6,4,8,7,3,2,1]=>[1,2,3,7,8,4,6,5]=>[[1,2,3,4,5],[6,7],[8]]=>24 [8,6,4,5,7,3,2,1]=>[4,6,5,8,7,3,2,1]=>[1,2,3,7,8,5,6,4]=>[[1,2,3,4,5],[6,7],[8]]=>24 [8,5,4,6,7,3,2,1]=>[5,4,6,8,7,3,2,1]=>[1,2,3,7,8,6,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>23 [8,4,5,6,7,3,2,1]=>[4,5,6,8,7,3,2,1]=>[1,2,3,7,8,6,5,4]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [7,6,5,4,8,3,2,1]=>[7,6,5,4,8,3,2,1]=>[1,2,3,8,4,5,6,7]=>[[1,2,3,4,6,7,8],[5]]=>24 [6,7,5,4,8,3,2,1]=>[6,7,5,4,8,3,2,1]=>[1,2,3,8,4,5,7,6]=>[[1,2,3,4,6,7],[5],[8]]=>23 [7,5,6,4,8,3,2,1]=>[5,7,6,4,8,3,2,1]=>[1,2,3,8,4,6,7,5]=>[[1,2,3,4,6,7],[5],[8]]=>23 [6,5,7,4,8,3,2,1]=>[6,5,7,4,8,3,2,1]=>[1,2,3,8,4,7,5,6]=>[[1,2,3,4,6,8],[5],[7]]=>22 [5,6,7,4,8,3,2,1]=>[5,6,7,4,8,3,2,1]=>[1,2,3,8,4,7,6,5]=>[[1,2,3,4,6],[5],[7],[8]]=>21 [7,6,4,5,8,3,2,1]=>[4,7,6,5,8,3,2,1]=>[1,2,3,8,5,6,7,4]=>[[1,2,3,4,6,7],[5],[8]]=>23 [6,7,4,5,8,3,2,1]=>[6,4,7,5,8,3,2,1]=>[1,2,3,8,5,7,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>22 [7,5,4,6,8,3,2,1]=>[5,4,7,6,8,3,2,1]=>[1,2,3,8,6,7,4,5]=>[[1,2,3,4,6],[5,8],[7]]=>22 [7,4,5,6,8,3,2,1]=>[4,5,7,6,8,3,2,1]=>[1,2,3,8,6,7,5,4]=>[[1,2,3,4,6],[5],[7],[8]]=>21 [6,5,4,7,8,3,2,1]=>[6,5,4,7,8,3,2,1]=>[1,2,3,8,7,4,5,6]=>[[1,2,3,4,7,8],[5],[6]]=>21 [5,6,4,7,8,3,2,1]=>[5,6,4,7,8,3,2,1]=>[1,2,3,8,7,4,6,5]=>[[1,2,3,4,7],[5],[6],[8]]=>20 [6,4,5,7,8,3,2,1]=>[4,6,5,7,8,3,2,1]=>[1,2,3,8,7,5,6,4]=>[[1,2,3,4,7],[5],[6],[8]]=>20 [5,4,6,7,8,3,2,1]=>[5,4,6,7,8,3,2,1]=>[1,2,3,8,7,6,4,5]=>[[1,2,3,4,8],[5],[6],[7]]=>19 [4,5,6,7,8,3,2,1]=>[4,5,6,7,8,3,2,1]=>[1,2,3,8,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>18 [8,7,6,5,3,4,2,1]=>[3,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,3]=>[[1,2,3,4,5,6,7],[8]]=>27 [7,8,6,5,3,4,2,1]=>[7,3,8,6,5,4,2,1]=>[1,2,4,5,6,8,3,7]=>[[1,2,3,4,5,6],[7,8]]=>26 [8,6,7,5,3,4,2,1]=>[6,3,8,7,5,4,2,1]=>[1,2,4,5,7,8,3,6]=>[[1,2,3,4,5,6],[7,8]]=>26 [7,6,8,5,3,4,2,1]=>[7,6,3,8,5,4,2,1]=>[1,2,4,5,8,3,6,7]=>[[1,2,3,4,5,8],[6,7]]=>25 [6,7,8,5,3,4,2,1]=>[6,7,3,8,5,4,2,1]=>[1,2,4,5,8,3,7,6]=>[[1,2,3,4,5],[6,7],[8]]=>24 [8,7,5,6,3,4,2,1]=>[5,3,8,7,6,4,2,1]=>[1,2,4,6,7,8,3,5]=>[[1,2,3,4,5,6],[7,8]]=>26 [7,8,5,6,3,4,2,1]=>[7,5,3,8,6,4,2,1]=>[1,2,4,6,8,3,5,7]=>[[1,2,3,4,5],[6,7,8]]=>25 [8,6,5,7,3,4,2,1]=>[6,5,3,8,7,4,2,1]=>[1,2,4,7,8,3,5,6]=>[[1,2,3,4,5],[6,7,8]]=>25 [7,6,5,8,3,4,2,1]=>[7,6,5,3,8,4,2,1]=>[1,2,4,8,3,5,6,7]=>[[1,2,3,4,7,8],[5,6]]=>24 [6,7,5,8,3,4,2,1]=>[6,7,5,3,8,4,2,1]=>[1,2,4,8,3,5,7,6]=>[[1,2,3,4,7],[5,6],[8]]=>23 [7,5,6,8,3,4,2,1]=>[5,7,6,3,8,4,2,1]=>[1,2,4,8,3,6,7,5]=>[[1,2,3,4,7],[5,6],[8]]=>23 [5,6,7,8,3,4,2,1]=>[5,6,7,3,8,4,2,1]=>[1,2,4,8,3,7,6,5]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [8,7,6,4,3,5,2,1]=>[4,3,8,7,6,5,2,1]=>[1,2,5,6,7,8,3,4]=>[[1,2,3,4,5,6],[7,8]]=>26 [8,6,7,4,3,5,2,1]=>[6,4,3,8,7,5,2,1]=>[1,2,5,7,8,3,4,6]=>[[1,2,3,4,5],[6,7,8]]=>25 [7,6,8,4,3,5,2,1]=>[7,6,4,3,8,5,2,1]=>[1,2,5,8,3,4,6,7]=>[[1,2,3,4,7,8],[5,6]]=>24 [6,7,8,4,3,5,2,1]=>[6,7,4,3,8,5,2,1]=>[1,2,5,8,3,4,7,6]=>[[1,2,3,4,7],[5,6],[8]]=>23 [8,7,6,3,4,5,2,1]=>[3,4,8,7,6,5,2,1]=>[1,2,5,6,7,8,4,3]=>[[1,2,3,4,5,6],[7],[8]]=>25 [7,8,6,3,4,5,2,1]=>[3,7,4,8,6,5,2,1]=>[1,2,5,6,8,4,7,3]=>[[1,2,3,4,5],[6,7],[8]]=>24 [8,6,7,3,4,5,2,1]=>[3,6,4,8,7,5,2,1]=>[1,2,5,7,8,4,6,3]=>[[1,2,3,4,5],[6,7],[8]]=>24 [6,7,8,3,4,5,2,1]=>[6,3,7,4,8,5,2,1]=>[1,2,5,8,4,7,3,6]=>[[1,2,3,4],[5,6],[7,8]]=>22 [8,7,5,4,3,6,2,1]=>[5,4,3,8,7,6,2,1]=>[1,2,6,7,8,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>25 [7,8,5,4,3,6,2,1]=>[7,5,4,3,8,6,2,1]=>[1,2,6,8,3,4,5,7]=>[[1,2,3,4,7,8],[5,6]]=>24 [8,7,5,3,4,6,2,1]=>[3,5,4,8,7,6,2,1]=>[1,2,6,7,8,4,5,3]=>[[1,2,3,4,5],[6,7],[8]]=>24 [7,8,5,3,4,6,2,1]=>[3,7,5,4,8,6,2,1]=>[1,2,6,8,4,5,7,3]=>[[1,2,3,4,7],[5,6],[8]]=>23 [8,7,3,4,5,6,2,1]=>[3,4,5,8,7,6,2,1]=>[1,2,6,7,8,5,4,3]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [8,6,5,4,3,7,2,1]=>[6,5,4,3,8,7,2,1]=>[1,2,7,8,3,4,5,6]=>[[1,2,3,4,7,8],[5,6]]=>24 [8,5,6,4,3,7,2,1]=>[5,6,4,3,8,7,2,1]=>[1,2,7,8,3,4,6,5]=>[[1,2,3,4,7],[5,6],[8]]=>23 [8,6,4,5,3,7,2,1]=>[4,6,5,3,8,7,2,1]=>[1,2,7,8,3,5,6,4]=>[[1,2,3,4,7],[5,6],[8]]=>23 [8,5,4,6,3,7,2,1]=>[5,4,6,3,8,7,2,1]=>[1,2,7,8,3,6,4,5]=>[[1,2,3,4,8],[5,6],[7]]=>22 [8,5,6,3,4,7,2,1]=>[5,3,6,4,8,7,2,1]=>[1,2,7,8,4,6,3,5]=>[[1,2,3,4],[5,6],[7,8]]=>22 [8,6,4,3,5,7,2,1]=>[4,3,6,5,8,7,2,1]=>[1,2,7,8,5,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>22 [8,6,3,4,5,7,2,1]=>[3,4,6,5,8,7,2,1]=>[1,2,7,8,5,6,4,3]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [8,5,4,3,6,7,2,1]=>[5,4,3,6,8,7,2,1]=>[1,2,7,8,6,3,4,5]=>[[1,2,3,4,8],[5,7],[6]]=>21 [8,5,3,4,6,7,2,1]=>[3,5,4,6,8,7,2,1]=>[1,2,7,8,6,4,5,3]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [8,4,3,5,6,7,2,1]=>[4,3,5,6,8,7,2,1]=>[1,2,7,8,6,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [8,3,4,5,6,7,2,1]=>[3,4,5,6,8,7,2,1]=>[1,2,7,8,6,5,4,3]=>[[1,2,3,4],[5],[6],[7],[8]]=>18 [7,6,5,4,3,8,2,1]=>[7,6,5,4,3,8,2,1]=>[1,2,8,3,4,5,6,7]=>[[1,2,3,5,6,7,8],[4]]=>23 [6,7,5,4,3,8,2,1]=>[6,7,5,4,3,8,2,1]=>[1,2,8,3,4,5,7,6]=>[[1,2,3,5,6,7],[4],[8]]=>22 [7,5,6,4,3,8,2,1]=>[5,7,6,4,3,8,2,1]=>[1,2,8,3,4,6,7,5]=>[[1,2,3,5,6,7],[4],[8]]=>22 [5,6,7,4,3,8,2,1]=>[5,6,7,4,3,8,2,1]=>[1,2,8,3,4,7,6,5]=>[[1,2,3,5,6],[4],[7],[8]]=>20 [7,6,4,5,3,8,2,1]=>[4,7,6,5,3,8,2,1]=>[1,2,8,3,5,6,7,4]=>[[1,2,3,5,6,7],[4],[8]]=>22 [6,7,4,5,3,8,2,1]=>[6,4,7,5,3,8,2,1]=>[1,2,8,3,5,7,4,6]=>[[1,2,3,5,6],[4,8],[7]]=>21 [7,5,4,6,3,8,2,1]=>[5,4,7,6,3,8,2,1]=>[1,2,8,3,6,7,4,5]=>[[1,2,3,5,6],[4,8],[7]]=>21 [6,5,4,7,3,8,2,1]=>[6,5,4,7,3,8,2,1]=>[1,2,8,3,7,4,5,6]=>[[1,2,3,5,7,8],[4],[6]]=>20 [5,6,4,7,3,8,2,1]=>[5,6,4,7,3,8,2,1]=>[1,2,8,3,7,4,6,5]=>[[1,2,3,5,7],[4],[6],[8]]=>19 [5,4,6,7,3,8,2,1]=>[5,4,6,7,3,8,2,1]=>[1,2,8,3,7,6,4,5]=>[[1,2,3,5,8],[4],[6],[7]]=>18 [4,5,6,7,3,8,2,1]=>[4,5,6,7,3,8,2,1]=>[1,2,8,3,7,6,5,4]=>[[1,2,3,5],[4],[6],[7],[8]]=>17 [7,6,5,3,4,8,2,1]=>[3,7,6,5,4,8,2,1]=>[1,2,8,4,5,6,7,3]=>[[1,2,3,5,6,7],[4],[8]]=>22 [6,7,5,3,4,8,2,1]=>[6,3,7,5,4,8,2,1]=>[1,2,8,4,5,7,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>21 [7,6,4,3,5,8,2,1]=>[4,3,7,6,5,8,2,1]=>[1,2,8,5,6,7,3,4]=>[[1,2,3,5,6],[4,8],[7]]=>21 [7,6,3,4,5,8,2,1]=>[3,4,7,6,5,8,2,1]=>[1,2,8,5,6,7,4,3]=>[[1,2,3,5,6],[4],[7],[8]]=>20 [7,4,5,3,6,8,2,1]=>[4,5,3,7,6,8,2,1]=>[1,2,8,6,7,3,5,4]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [7,4,3,5,6,8,2,1]=>[4,3,5,7,6,8,2,1]=>[1,2,8,6,7,5,3,4]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [7,3,4,5,6,8,2,1]=>[3,4,5,7,6,8,2,1]=>[1,2,8,6,7,5,4,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>17 [6,5,4,3,7,8,2,1]=>[6,5,4,3,7,8,2,1]=>[1,2,8,7,3,4,5,6]=>[[1,2,3,6,7,8],[4],[5]]=>19 [5,6,4,3,7,8,2,1]=>[5,6,4,3,7,8,2,1]=>[1,2,8,7,3,4,6,5]=>[[1,2,3,6,7],[4],[5],[8]]=>18 [4,5,6,3,7,8,2,1]=>[4,5,6,3,7,8,2,1]=>[1,2,8,7,3,6,5,4]=>[[1,2,3,6],[4],[5],[7],[8]]=>16 [6,5,3,4,7,8,2,1]=>[3,6,5,4,7,8,2,1]=>[1,2,8,7,4,5,6,3]=>[[1,2,3,6,7],[4],[5],[8]]=>18 [6,4,3,5,7,8,2,1]=>[4,3,6,5,7,8,2,1]=>[1,2,8,7,5,6,3,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [6,3,4,5,7,8,2,1]=>[3,4,6,5,7,8,2,1]=>[1,2,8,7,5,6,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>16 [5,4,3,6,7,8,2,1]=>[5,4,3,6,7,8,2,1]=>[1,2,8,7,6,3,4,5]=>[[1,2,3,7,8],[4],[5],[6]]=>16 [4,5,3,6,7,8,2,1]=>[4,5,3,6,7,8,2,1]=>[1,2,8,7,6,3,5,4]=>[[1,2,3,7],[4],[5],[6],[8]]=>15 [4,3,5,6,7,8,2,1]=>[4,3,5,6,7,8,2,1]=>[1,2,8,7,6,5,3,4]=>[[1,2,3,8],[4],[5],[6],[7]]=>14 [3,4,5,6,7,8,2,1]=>[3,4,5,6,7,8,2,1]=>[1,2,8,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>13 [8,7,6,5,4,2,3,1]=>[2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2]=>[[1,2,3,4,5,6,7],[8]]=>27 [7,8,6,5,4,2,3,1]=>[7,2,8,6,5,4,3,1]=>[1,3,4,5,6,8,2,7]=>[[1,2,3,4,5,6],[7,8]]=>26 [8,6,7,5,4,2,3,1]=>[6,2,8,7,5,4,3,1]=>[1,3,4,5,7,8,2,6]=>[[1,2,3,4,5,6],[7,8]]=>26 [7,6,8,5,4,2,3,1]=>[7,6,2,8,5,4,3,1]=>[1,3,4,5,8,2,6,7]=>[[1,2,3,4,5,8],[6,7]]=>25 [7,8,5,6,4,2,3,1]=>[7,5,2,8,6,4,3,1]=>[1,3,4,6,8,2,5,7]=>[[1,2,3,4,5],[6,7,8]]=>25 [8,6,5,7,4,2,3,1]=>[6,5,2,8,7,4,3,1]=>[1,3,4,7,8,2,5,6]=>[[1,2,3,4,5],[6,7,8]]=>25 [7,6,5,8,4,2,3,1]=>[7,6,5,2,8,4,3,1]=>[1,3,4,8,2,5,6,7]=>[[1,2,3,4,7,8],[5,6]]=>24 [6,7,5,8,4,2,3,1]=>[6,7,5,2,8,4,3,1]=>[1,3,4,8,2,5,7,6]=>[[1,2,3,4,7],[5,6],[8]]=>23 [6,5,7,8,4,2,3,1]=>[6,5,7,2,8,4,3,1]=>[1,3,4,8,2,7,5,6]=>[[1,2,3,4,8],[5,6],[7]]=>22 [5,6,7,8,4,2,3,1]=>[5,6,7,2,8,4,3,1]=>[1,3,4,8,2,7,6,5]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [8,7,6,4,5,2,3,1]=>[4,2,8,7,6,5,3,1]=>[1,3,5,6,7,8,2,4]=>[[1,2,3,4,5,6],[7,8]]=>26 [7,8,6,4,5,2,3,1]=>[7,4,2,8,6,5,3,1]=>[1,3,5,6,8,2,4,7]=>[[1,2,3,4,5],[6,7,8]]=>25 [8,6,7,4,5,2,3,1]=>[6,4,2,8,7,5,3,1]=>[1,3,5,7,8,2,4,6]=>[[1,2,3,4,5],[6,7,8]]=>25 [7,6,8,4,5,2,3,1]=>[7,6,4,2,8,5,3,1]=>[1,3,5,8,2,4,6,7]=>[[1,2,3,4,8],[5,6,7]]=>24 [6,7,8,4,5,2,3,1]=>[6,7,4,2,8,5,3,1]=>[1,3,5,8,2,4,7,6]=>[[1,2,3,4],[5,6,7],[8]]=>23 [8,7,5,4,6,2,3,1]=>[5,4,2,8,7,6,3,1]=>[1,3,6,7,8,2,4,5]=>[[1,2,3,4,5],[6,7,8]]=>25 [8,6,5,4,7,2,3,1]=>[6,5,4,2,8,7,3,1]=>[1,3,7,8,2,4,5,6]=>[[1,2,3,4,8],[5,6,7]]=>24 [8,4,5,6,7,2,3,1]=>[4,5,6,2,8,7,3,1]=>[1,3,7,8,2,6,5,4]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [7,6,5,4,8,2,3,1]=>[7,6,5,4,2,8,3,1]=>[1,3,8,2,4,5,6,7]=>[[1,2,3,6,7,8],[4,5]]=>23 [6,7,5,4,8,2,3,1]=>[6,7,5,4,2,8,3,1]=>[1,3,8,2,4,5,7,6]=>[[1,2,3,6,7],[4,5],[8]]=>22 [7,5,6,4,8,2,3,1]=>[5,7,6,4,2,8,3,1]=>[1,3,8,2,4,6,7,5]=>[[1,2,3,6,7],[4,5],[8]]=>22 [6,5,7,4,8,2,3,1]=>[6,5,7,4,2,8,3,1]=>[1,3,8,2,4,7,5,6]=>[[1,2,3,6,8],[4,5],[7]]=>21 [5,6,7,4,8,2,3,1]=>[5,6,7,4,2,8,3,1]=>[1,3,8,2,4,7,6,5]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [7,6,4,5,8,2,3,1]=>[4,7,6,5,2,8,3,1]=>[1,3,8,2,5,6,7,4]=>[[1,2,3,6,7],[4,5],[8]]=>22 [6,7,4,5,8,2,3,1]=>[6,4,7,5,2,8,3,1]=>[1,3,8,2,5,7,4,6]=>[[1,2,3,6],[4,5,8],[7]]=>21 [7,5,4,6,8,2,3,1]=>[5,4,7,6,2,8,3,1]=>[1,3,8,2,6,7,4,5]=>[[1,2,3,6],[4,5,8],[7]]=>21 [5,6,4,7,8,2,3,1]=>[5,6,4,7,2,8,3,1]=>[1,3,8,2,7,4,6,5]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [5,4,6,7,8,2,3,1]=>[5,4,6,7,2,8,3,1]=>[1,3,8,2,7,6,4,5]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [4,5,6,7,8,2,3,1]=>[4,5,6,7,2,8,3,1]=>[1,3,8,2,7,6,5,4]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [8,7,6,5,3,2,4,1]=>[3,2,8,7,6,5,4,1]=>[1,4,5,6,7,8,2,3]=>[[1,2,3,4,5,6],[7,8]]=>26 [7,8,6,5,3,2,4,1]=>[7,3,2,8,6,5,4,1]=>[1,4,5,6,8,2,3,7]=>[[1,2,3,4,5],[6,7,8]]=>25 [8,6,7,5,3,2,4,1]=>[6,3,2,8,7,5,4,1]=>[1,4,5,7,8,2,3,6]=>[[1,2,3,4,5],[6,7,8]]=>25 [6,7,8,5,3,2,4,1]=>[6,7,3,2,8,5,4,1]=>[1,4,5,8,2,3,7,6]=>[[1,2,3,4],[5,6,7],[8]]=>23 [8,7,5,6,3,2,4,1]=>[5,3,2,8,7,6,4,1]=>[1,4,6,7,8,2,3,5]=>[[1,2,3,4,5],[6,7,8]]=>25 [7,8,5,6,3,2,4,1]=>[7,5,3,2,8,6,4,1]=>[1,4,6,8,2,3,5,7]=>[[1,2,3,4,8],[5,6,7]]=>24 [8,6,5,7,3,2,4,1]=>[6,5,3,2,8,7,4,1]=>[1,4,7,8,2,3,5,6]=>[[1,2,3,4,8],[5,6,7]]=>24 [7,6,5,8,3,2,4,1]=>[7,6,5,3,2,8,4,1]=>[1,4,8,2,3,5,6,7]=>[[1,2,3,6,7,8],[4,5]]=>23 [6,7,5,8,3,2,4,1]=>[6,7,5,3,2,8,4,1]=>[1,4,8,2,3,5,7,6]=>[[1,2,3,6,7],[4,5],[8]]=>22 [7,5,6,8,3,2,4,1]=>[5,7,6,3,2,8,4,1]=>[1,4,8,2,3,6,7,5]=>[[1,2,3,6,7],[4,5],[8]]=>22 [5,6,7,8,3,2,4,1]=>[5,6,7,3,2,8,4,1]=>[1,4,8,2,3,7,6,5]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [8,7,6,5,2,3,4,1]=>[2,3,8,7,6,5,4,1]=>[1,4,5,6,7,8,3,2]=>[[1,2,3,4,5,6],[7],[8]]=>25 [8,6,7,5,2,3,4,1]=>[2,6,3,8,7,5,4,1]=>[1,4,5,7,8,3,6,2]=>[[1,2,3,4,5],[6,7],[8]]=>24 [7,6,8,5,2,3,4,1]=>[2,7,6,3,8,5,4,1]=>[1,4,5,8,3,6,7,2]=>[[1,2,3,4,7],[5,6],[8]]=>23 [8,7,5,6,2,3,4,1]=>[2,5,3,8,7,6,4,1]=>[1,4,6,7,8,3,5,2]=>[[1,2,3,4,5],[6,7],[8]]=>24 [7,8,5,6,2,3,4,1]=>[2,7,5,3,8,6,4,1]=>[1,4,6,8,3,5,7,2]=>[[1,2,3,4],[5,6,7],[8]]=>23 [8,5,6,7,2,3,4,1]=>[5,2,6,3,8,7,4,1]=>[1,4,7,8,3,6,2,5]=>[[1,2,3,4],[5,6],[7,8]]=>22 [5,6,7,8,2,3,4,1]=>[5,6,2,7,3,8,4,1]=>[1,4,8,3,7,2,6,5]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [8,7,6,4,3,2,5,1]=>[4,3,2,8,7,6,5,1]=>[1,5,6,7,8,2,3,4]=>[[1,2,3,4,5],[6,7,8]]=>25 [8,6,7,4,3,2,5,1]=>[6,4,3,2,8,7,5,1]=>[1,5,7,8,2,3,4,6]=>[[1,2,3,4,8],[5,6,7]]=>24 [7,6,8,4,3,2,5,1]=>[7,6,4,3,2,8,5,1]=>[1,5,8,2,3,4,6,7]=>[[1,2,3,6,7,8],[4,5]]=>23 [6,7,8,4,3,2,5,1]=>[6,7,4,3,2,8,5,1]=>[1,5,8,2,3,4,7,6]=>[[1,2,3,6,7],[4,5],[8]]=>22 [8,7,6,3,4,2,5,1]=>[3,4,2,8,7,6,5,1]=>[1,5,6,7,8,2,4,3]=>[[1,2,3,4,5],[6,7],[8]]=>24 [7,8,6,3,4,2,5,1]=>[3,7,4,2,8,6,5,1]=>[1,5,6,8,2,4,7,3]=>[[1,2,3,4],[5,6,7],[8]]=>23 [8,6,7,3,4,2,5,1]=>[3,6,4,2,8,7,5,1]=>[1,5,7,8,2,4,6,3]=>[[1,2,3,4],[5,6,7],[8]]=>23 [7,6,8,3,4,2,5,1]=>[3,7,6,4,2,8,5,1]=>[1,5,8,2,4,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>22 [8,7,6,4,2,3,5,1]=>[2,4,3,8,7,6,5,1]=>[1,5,6,7,8,3,4,2]=>[[1,2,3,4,5],[6,7],[8]]=>24 [7,6,8,4,2,3,5,1]=>[2,7,6,4,3,8,5,1]=>[1,5,8,3,4,6,7,2]=>[[1,2,3,6,7],[4,5],[8]]=>22 [6,7,8,4,2,3,5,1]=>[6,2,7,4,3,8,5,1]=>[1,5,8,3,4,7,2,6]=>[[1,2,3,6],[4,5],[7,8]]=>21 [8,7,6,3,2,4,5,1]=>[3,2,4,8,7,6,5,1]=>[1,5,6,7,8,4,2,3]=>[[1,2,3,4,5],[6,8],[7]]=>23 [7,8,6,3,2,4,5,1]=>[3,2,7,4,8,6,5,1]=>[1,5,6,8,4,7,2,3]=>[[1,2,3,4],[5,6],[7,8]]=>22 [8,6,7,3,2,4,5,1]=>[3,2,6,4,8,7,5,1]=>[1,5,7,8,4,6,2,3]=>[[1,2,3,4],[5,6],[7,8]]=>22 [6,7,8,3,2,4,5,1]=>[6,3,2,7,4,8,5,1]=>[1,5,8,4,7,2,3,6]=>[[1,2,3,8],[4,5],[6,7]]=>20 [8,7,6,2,3,4,5,1]=>[2,3,4,8,7,6,5,1]=>[1,5,6,7,8,4,3,2]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [7,8,6,2,3,4,5,1]=>[2,3,7,4,8,6,5,1]=>[1,5,6,8,4,7,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [8,6,7,2,3,4,5,1]=>[2,3,6,4,8,7,5,1]=>[1,5,7,8,4,6,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [7,6,8,2,3,4,5,1]=>[2,3,7,6,4,8,5,1]=>[1,5,8,4,6,7,3,2]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [6,7,8,2,3,4,5,1]=>[2,6,3,7,4,8,5,1]=>[1,5,8,4,7,3,6,2]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [8,7,5,4,3,2,6,1]=>[5,4,3,2,8,7,6,1]=>[1,6,7,8,2,3,4,5]=>[[1,2,3,4,8],[5,6,7]]=>24 [7,8,5,4,3,2,6,1]=>[7,5,4,3,2,8,6,1]=>[1,6,8,2,3,4,5,7]=>[[1,2,3,6,7,8],[4,5]]=>23 [8,7,5,3,4,2,6,1]=>[3,5,4,2,8,7,6,1]=>[1,6,7,8,2,4,5,3]=>[[1,2,3,4],[5,6,7],[8]]=>23 [7,8,5,3,4,2,6,1]=>[3,7,5,4,2,8,6,1]=>[1,6,8,2,4,5,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>22 [8,7,4,3,5,2,6,1]=>[4,3,5,2,8,7,6,1]=>[1,6,7,8,2,5,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>22 [7,8,3,4,5,2,6,1]=>[3,4,7,5,2,8,6,1]=>[1,6,8,2,5,7,4,3]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [8,7,5,4,2,3,6,1]=>[2,5,4,3,8,7,6,1]=>[1,6,7,8,3,4,5,2]=>[[1,2,3,4],[5,6,7],[8]]=>23 [7,8,5,4,2,3,6,1]=>[2,7,5,4,3,8,6,1]=>[1,6,8,3,4,5,7,2]=>[[1,2,3,6,7],[4,5],[8]]=>22 [8,7,4,3,2,5,6,1]=>[4,3,2,5,8,7,6,1]=>[1,6,7,8,5,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>21 [7,8,4,3,2,5,6,1]=>[4,3,2,7,5,8,6,1]=>[1,6,8,5,7,2,3,4]=>[[1,2,3,8],[4,5],[6,7]]=>20 [7,8,4,2,3,5,6,1]=>[2,4,3,7,5,8,6,1]=>[1,6,8,5,7,3,4,2]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [8,7,2,3,4,5,6,1]=>[2,3,4,5,8,7,6,1]=>[1,6,7,8,5,4,3,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>18 [7,8,2,3,4,5,6,1]=>[2,3,4,7,5,8,6,1]=>[1,6,8,5,7,4,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>[1,7,8,2,3,4,5,6]=>[[1,2,3,6,7,8],[4,5]]=>23 [8,6,4,5,3,2,7,1]=>[4,6,5,3,2,8,7,1]=>[1,7,8,2,3,5,6,4]=>[[1,2,3,6,7],[4,5],[8]]=>22 [8,5,4,6,3,2,7,1]=>[5,4,6,3,2,8,7,1]=>[1,7,8,2,3,6,4,5]=>[[1,2,3,6,8],[4,5],[7]]=>21 [8,6,5,3,4,2,7,1]=>[3,6,5,4,2,8,7,1]=>[1,7,8,2,4,5,6,3]=>[[1,2,3,6,7],[4,5],[8]]=>22 [8,5,6,3,4,2,7,1]=>[5,3,6,4,2,8,7,1]=>[1,7,8,2,4,6,3,5]=>[[1,2,3,6],[4,5],[7,8]]=>21 [8,6,4,3,5,2,7,1]=>[4,3,6,5,2,8,7,1]=>[1,7,8,2,5,6,3,4]=>[[1,2,3,6],[4,5],[7,8]]=>21 [8,5,3,4,6,2,7,1]=>[3,5,4,6,2,8,7,1]=>[1,7,8,2,6,4,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [8,6,5,4,2,3,7,1]=>[2,6,5,4,3,8,7,1]=>[1,7,8,3,4,5,6,2]=>[[1,2,3,6,7],[4,5],[8]]=>22 [8,6,4,5,2,3,7,1]=>[4,2,6,5,3,8,7,1]=>[1,7,8,3,5,6,2,4]=>[[1,2,3,6],[4,5],[7,8]]=>21 [8,5,4,6,2,3,7,1]=>[5,4,2,6,3,8,7,1]=>[1,7,8,3,6,2,4,5]=>[[1,2,3,8],[4,5],[6,7]]=>20 [8,6,5,3,2,4,7,1]=>[3,2,6,5,4,8,7,1]=>[1,7,8,4,5,6,2,3]=>[[1,2,3,6],[4,5],[7,8]]=>21 [8,6,4,2,3,5,7,1]=>[2,4,3,6,5,8,7,1]=>[1,7,8,5,6,3,4,2]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [8,6,2,3,4,5,7,1]=>[2,3,4,6,5,8,7,1]=>[1,7,8,5,6,4,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [8,5,4,3,2,6,7,1]=>[5,4,3,2,6,8,7,1]=>[1,7,8,6,2,3,4,5]=>[[1,2,3,7,8],[4,6],[5]]=>19 [8,4,5,3,2,6,7,1]=>[4,5,3,2,6,8,7,1]=>[1,7,8,6,2,3,5,4]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [8,3,4,5,2,6,7,1]=>[3,4,5,2,6,8,7,1]=>[1,7,8,6,2,5,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [8,5,4,2,3,6,7,1]=>[2,5,4,3,6,8,7,1]=>[1,7,8,6,3,4,5,2]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [8,5,2,3,4,6,7,1]=>[2,3,5,4,6,8,7,1]=>[1,7,8,6,4,5,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [8,3,4,2,5,6,7,1]=>[3,4,2,5,6,8,7,1]=>[1,7,8,6,5,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [8,4,2,3,5,6,7,1]=>[2,4,3,5,6,8,7,1]=>[1,7,8,6,5,3,4,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [8,3,2,4,5,6,7,1]=>[3,2,4,5,6,8,7,1]=>[1,7,8,6,5,4,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [8,2,3,4,5,6,7,1]=>[2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8]]=>13 [7,6,5,4,3,2,8,1]=>[7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7]=>[[1,2,4,5,6,7,8],[3]]=>22 [6,7,5,4,3,2,8,1]=>[6,7,5,4,3,2,8,1]=>[1,8,2,3,4,5,7,6]=>[[1,2,4,5,6,7],[3],[8]]=>21 [7,5,6,4,3,2,8,1]=>[5,7,6,4,3,2,8,1]=>[1,8,2,3,4,6,7,5]=>[[1,2,4,5,6,7],[3],[8]]=>21 [6,5,7,4,3,2,8,1]=>[6,5,7,4,3,2,8,1]=>[1,8,2,3,4,7,5,6]=>[[1,2,4,5,6,8],[3],[7]]=>20 [5,6,7,4,3,2,8,1]=>[5,6,7,4,3,2,8,1]=>[1,8,2,3,4,7,6,5]=>[[1,2,4,5,6],[3],[7],[8]]=>19 [7,6,4,5,3,2,8,1]=>[4,7,6,5,3,2,8,1]=>[1,8,2,3,5,6,7,4]=>[[1,2,4,5,6,7],[3],[8]]=>21 [6,7,4,5,3,2,8,1]=>[6,4,7,5,3,2,8,1]=>[1,8,2,3,5,7,4,6]=>[[1,2,4,5,6],[3,8],[7]]=>20 [7,4,5,6,3,2,8,1]=>[4,5,7,6,3,2,8,1]=>[1,8,2,3,6,7,5,4]=>[[1,2,4,5,6],[3],[7],[8]]=>19 [6,4,5,7,3,2,8,1]=>[4,6,5,7,3,2,8,1]=>[1,8,2,3,7,5,6,4]=>[[1,2,4,5,7],[3],[6],[8]]=>18 [5,4,6,7,3,2,8,1]=>[5,4,6,7,3,2,8,1]=>[1,8,2,3,7,6,4,5]=>[[1,2,4,5,8],[3],[6],[7]]=>17 [4,5,6,7,3,2,8,1]=>[4,5,6,7,3,2,8,1]=>[1,8,2,3,7,6,5,4]=>[[1,2,4,5],[3],[6],[7],[8]]=>16 [7,6,5,3,4,2,8,1]=>[3,7,6,5,4,2,8,1]=>[1,8,2,4,5,6,7,3]=>[[1,2,4,5,6,7],[3],[8]]=>21 [7,5,6,3,4,2,8,1]=>[5,3,7,6,4,2,8,1]=>[1,8,2,4,6,7,3,5]=>[[1,2,4,5,6],[3,8],[7]]=>20 [5,6,7,3,4,2,8,1]=>[5,6,3,7,4,2,8,1]=>[1,8,2,4,7,3,6,5]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [7,6,4,3,5,2,8,1]=>[4,3,7,6,5,2,8,1]=>[1,8,2,5,6,7,3,4]=>[[1,2,4,5,6],[3,8],[7]]=>20 [7,6,3,4,5,2,8,1]=>[3,4,7,6,5,2,8,1]=>[1,8,2,5,6,7,4,3]=>[[1,2,4,5,6],[3],[7],[8]]=>19 [7,5,4,3,6,2,8,1]=>[5,4,3,7,6,2,8,1]=>[1,8,2,6,7,3,4,5]=>[[1,2,4,5,8],[3,7],[6]]=>19 [7,5,3,4,6,2,8,1]=>[3,5,4,7,6,2,8,1]=>[1,8,2,6,7,4,5,3]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [7,3,4,5,6,2,8,1]=>[3,4,5,7,6,2,8,1]=>[1,8,2,6,7,5,4,3]=>[[1,2,4,5],[3],[6],[7],[8]]=>16 [6,5,4,3,7,2,8,1]=>[6,5,4,3,7,2,8,1]=>[1,8,2,7,3,4,5,6]=>[[1,2,4,6,7,8],[3],[5]]=>18 [5,6,4,3,7,2,8,1]=>[5,6,4,3,7,2,8,1]=>[1,8,2,7,3,4,6,5]=>[[1,2,4,6,7],[3],[5],[8]]=>17 [6,4,5,3,7,2,8,1]=>[4,6,5,3,7,2,8,1]=>[1,8,2,7,3,5,6,4]=>[[1,2,4,6,7],[3],[5],[8]]=>17 [5,4,6,3,7,2,8,1]=>[5,4,6,3,7,2,8,1]=>[1,8,2,7,3,6,4,5]=>[[1,2,4,6,8],[3],[5],[7]]=>16 [4,5,6,3,7,2,8,1]=>[4,5,6,3,7,2,8,1]=>[1,8,2,7,3,6,5,4]=>[[1,2,4,6],[3],[5],[7],[8]]=>15 [6,5,3,4,7,2,8,1]=>[3,6,5,4,7,2,8,1]=>[1,8,2,7,4,5,6,3]=>[[1,2,4,6,7],[3],[5],[8]]=>17 [5,6,3,4,7,2,8,1]=>[5,3,6,4,7,2,8,1]=>[1,8,2,7,4,6,3,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [6,4,3,5,7,2,8,1]=>[4,3,6,5,7,2,8,1]=>[1,8,2,7,5,6,3,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [5,4,3,6,7,2,8,1]=>[5,4,3,6,7,2,8,1]=>[1,8,2,7,6,3,4,5]=>[[1,2,4,7,8],[3],[5],[6]]=>15 [4,5,3,6,7,2,8,1]=>[4,5,3,6,7,2,8,1]=>[1,8,2,7,6,3,5,4]=>[[1,2,4,7],[3],[5],[6],[8]]=>14 [5,3,4,6,7,2,8,1]=>[3,5,4,6,7,2,8,1]=>[1,8,2,7,6,4,5,3]=>[[1,2,4,7],[3],[5],[6],[8]]=>14 [3,4,5,6,7,2,8,1]=>[3,4,5,6,7,2,8,1]=>[1,8,2,7,6,5,4,3]=>[[1,2,4],[3],[5],[6],[7],[8]]=>12 [7,6,5,4,2,3,8,1]=>[2,7,6,5,4,3,8,1]=>[1,8,3,4,5,6,7,2]=>[[1,2,4,5,6,7],[3],[8]]=>21 [6,7,5,4,2,3,8,1]=>[6,2,7,5,4,3,8,1]=>[1,8,3,4,5,7,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>20 [6,5,7,4,2,3,8,1]=>[6,5,2,7,4,3,8,1]=>[1,8,3,4,7,2,5,6]=>[[1,2,4,5,8],[3,7],[6]]=>19 [5,6,7,4,2,3,8,1]=>[5,6,2,7,4,3,8,1]=>[1,8,3,4,7,2,6,5]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [7,6,4,5,2,3,8,1]=>[4,2,7,6,5,3,8,1]=>[1,8,3,5,6,7,2,4]=>[[1,2,4,5,6],[3,8],[7]]=>20 [6,7,4,5,2,3,8,1]=>[6,4,2,7,5,3,8,1]=>[1,8,3,5,7,2,4,6]=>[[1,2,4,5],[3,7,8],[6]]=>19 [7,5,4,6,2,3,8,1]=>[5,4,2,7,6,3,8,1]=>[1,8,3,6,7,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>19 [7,4,5,6,2,3,8,1]=>[4,5,2,7,6,3,8,1]=>[1,8,3,6,7,2,5,4]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [6,5,4,7,2,3,8,1]=>[6,5,4,2,7,3,8,1]=>[1,8,3,7,2,4,5,6]=>[[1,2,4,7,8],[3,6],[5]]=>18 [5,6,4,7,2,3,8,1]=>[5,6,4,2,7,3,8,1]=>[1,8,3,7,2,4,6,5]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [6,4,5,7,2,3,8,1]=>[4,6,5,2,7,3,8,1]=>[1,8,3,7,2,5,6,4]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [5,4,6,7,2,3,8,1]=>[5,4,6,2,7,3,8,1]=>[1,8,3,7,2,6,4,5]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [4,5,6,7,2,3,8,1]=>[4,5,6,2,7,3,8,1]=>[1,8,3,7,2,6,5,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [7,6,5,3,2,4,8,1]=>[3,2,7,6,5,4,8,1]=>[1,8,4,5,6,7,2,3]=>[[1,2,4,5,6],[3,8],[7]]=>20 [7,5,6,3,2,4,8,1]=>[5,3,2,7,6,4,8,1]=>[1,8,4,6,7,2,3,5]=>[[1,2,4,5],[3,7,8],[6]]=>19 [6,5,7,3,2,4,8,1]=>[6,5,3,2,7,4,8,1]=>[1,8,4,7,2,3,5,6]=>[[1,2,4,7,8],[3,6],[5]]=>18 [7,6,5,2,3,4,8,1]=>[2,3,7,6,5,4,8,1]=>[1,8,4,5,6,7,3,2]=>[[1,2,4,5,6],[3],[7],[8]]=>19 [7,5,6,2,3,4,8,1]=>[2,5,3,7,6,4,8,1]=>[1,8,4,6,7,3,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [5,6,7,2,3,4,8,1]=>[5,2,6,3,7,4,8,1]=>[1,8,4,7,3,6,2,5]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [7,6,4,3,2,5,8,1]=>[4,3,2,7,6,5,8,1]=>[1,8,5,6,7,2,3,4]=>[[1,2,4,5],[3,7,8],[6]]=>19 [6,7,4,3,2,5,8,1]=>[6,4,3,2,7,5,8,1]=>[1,8,5,7,2,3,4,6]=>[[1,2,4,7,8],[3,6],[5]]=>18 [6,7,4,2,3,5,8,1]=>[2,6,4,3,7,5,8,1]=>[1,8,5,7,3,4,6,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [6,7,3,2,4,5,8,1]=>[3,2,6,4,7,5,8,1]=>[1,8,5,7,4,6,2,3]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [7,6,2,3,4,5,8,1]=>[2,3,4,7,6,5,8,1]=>[1,8,5,6,7,4,3,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>16 [6,7,2,3,4,5,8,1]=>[2,3,6,4,7,5,8,1]=>[1,8,5,7,4,6,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [7,5,4,3,2,6,8,1]=>[5,4,3,2,7,6,8,1]=>[1,8,6,7,2,3,4,5]=>[[1,2,4,7,8],[3,6],[5]]=>18 [7,4,3,5,2,6,8,1]=>[4,3,5,2,7,6,8,1]=>[1,8,6,7,2,5,3,4]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [7,3,4,5,2,6,8,1]=>[3,4,5,2,7,6,8,1]=>[1,8,6,7,2,5,4,3]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [7,5,4,2,3,6,8,1]=>[2,5,4,3,7,6,8,1]=>[1,8,6,7,3,4,5,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [7,4,5,2,3,6,8,1]=>[4,2,5,3,7,6,8,1]=>[1,8,6,7,3,5,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [7,5,3,2,4,6,8,1]=>[3,2,5,4,7,6,8,1]=>[1,8,6,7,4,5,2,3]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [7,5,2,3,4,6,8,1]=>[2,3,5,4,7,6,8,1]=>[1,8,6,7,4,5,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [7,4,3,2,5,6,8,1]=>[4,3,2,5,7,6,8,1]=>[1,8,6,7,5,2,3,4]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [7,4,2,3,5,6,8,1]=>[2,4,3,5,7,6,8,1]=>[1,8,6,7,5,3,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [7,3,2,4,5,6,8,1]=>[3,2,4,5,7,6,8,1]=>[1,8,6,7,5,4,2,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [7,2,3,4,5,6,8,1]=>[2,3,4,5,7,6,8,1]=>[1,8,6,7,5,4,3,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>12 [6,5,4,3,2,7,8,1]=>[6,5,4,3,2,7,8,1]=>[1,8,7,2,3,4,5,6]=>[[1,2,5,6,7,8],[3],[4]]=>17 [6,4,5,3,2,7,8,1]=>[4,6,5,3,2,7,8,1]=>[1,8,7,2,3,5,6,4]=>[[1,2,5,6,7],[3],[4],[8]]=>16 [5,4,6,3,2,7,8,1]=>[5,4,6,3,2,7,8,1]=>[1,8,7,2,3,6,4,5]=>[[1,2,5,6,8],[3],[4],[7]]=>15 [4,5,6,3,2,7,8,1]=>[4,5,6,3,2,7,8,1]=>[1,8,7,2,3,6,5,4]=>[[1,2,5,6],[3],[4],[7],[8]]=>14 [6,5,3,4,2,7,8,1]=>[3,6,5,4,2,7,8,1]=>[1,8,7,2,4,5,6,3]=>[[1,2,5,6,7],[3],[4],[8]]=>16 [5,6,3,4,2,7,8,1]=>[5,3,6,4,2,7,8,1]=>[1,8,7,2,4,6,3,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [6,3,4,5,2,7,8,1]=>[3,4,6,5,2,7,8,1]=>[1,8,7,2,5,6,4,3]=>[[1,2,5,6],[3],[4],[7],[8]]=>14 [5,4,3,6,2,7,8,1]=>[5,4,3,6,2,7,8,1]=>[1,8,7,2,6,3,4,5]=>[[1,2,5,7,8],[3],[4],[6]]=>14 [4,5,3,6,2,7,8,1]=>[4,5,3,6,2,7,8,1]=>[1,8,7,2,6,3,5,4]=>[[1,2,5,7],[3],[4],[6],[8]]=>13 [5,3,4,6,2,7,8,1]=>[3,5,4,6,2,7,8,1]=>[1,8,7,2,6,4,5,3]=>[[1,2,5,7],[3],[4],[6],[8]]=>13 [4,3,5,6,2,7,8,1]=>[4,3,5,6,2,7,8,1]=>[1,8,7,2,6,5,3,4]=>[[1,2,5,8],[3],[4],[6],[7]]=>12 [3,4,5,6,2,7,8,1]=>[3,4,5,6,2,7,8,1]=>[1,8,7,2,6,5,4,3]=>[[1,2,5],[3],[4],[6],[7],[8]]=>11 [6,5,4,2,3,7,8,1]=>[2,6,5,4,3,7,8,1]=>[1,8,7,3,4,5,6,2]=>[[1,2,5,6,7],[3],[4],[8]]=>16 [5,4,6,2,3,7,8,1]=>[5,4,2,6,3,7,8,1]=>[1,8,7,3,6,2,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [4,5,6,2,3,7,8,1]=>[4,5,2,6,3,7,8,1]=>[1,8,7,3,6,2,5,4]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [6,5,3,2,4,7,8,1]=>[3,2,6,5,4,7,8,1]=>[1,8,7,4,5,6,2,3]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [6,5,2,3,4,7,8,1]=>[2,3,6,5,4,7,8,1]=>[1,8,7,4,5,6,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>14 [5,6,2,3,4,7,8,1]=>[2,5,3,6,4,7,8,1]=>[1,8,7,4,6,3,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [6,4,2,3,5,7,8,1]=>[2,4,3,6,5,7,8,1]=>[1,8,7,5,6,3,4,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [6,3,2,4,5,7,8,1]=>[3,2,4,6,5,7,8,1]=>[1,8,7,5,6,4,2,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [6,2,3,4,5,7,8,1]=>[2,3,4,6,5,7,8,1]=>[1,8,7,5,6,4,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>11 [5,4,3,2,6,7,8,1]=>[5,4,3,2,6,7,8,1]=>[1,8,7,6,2,3,4,5]=>[[1,2,6,7,8],[3],[4],[5]]=>13 [5,3,4,2,6,7,8,1]=>[3,5,4,2,6,7,8,1]=>[1,8,7,6,2,4,5,3]=>[[1,2,6,7],[3],[4],[5],[8]]=>12 [3,4,5,2,6,7,8,1]=>[3,4,5,2,6,7,8,1]=>[1,8,7,6,2,5,4,3]=>[[1,2,6],[3],[4],[5],[7],[8]]=>10 [5,4,2,3,6,7,8,1]=>[2,5,4,3,6,7,8,1]=>[1,8,7,6,3,4,5,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>12 [4,5,2,3,6,7,8,1]=>[4,2,5,3,6,7,8,1]=>[1,8,7,6,3,5,2,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [5,3,2,4,6,7,8,1]=>[3,2,5,4,6,7,8,1]=>[1,8,7,6,4,5,2,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [5,2,3,4,6,7,8,1]=>[2,3,5,4,6,7,8,1]=>[1,8,7,6,4,5,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>10 [4,3,2,5,6,7,8,1]=>[4,3,2,5,6,7,8,1]=>[1,8,7,6,5,2,3,4]=>[[1,2,7,8],[3],[4],[5],[6]]=>10 [3,4,2,5,6,7,8,1]=>[3,4,2,5,6,7,8,1]=>[1,8,7,6,5,2,4,3]=>[[1,2,7],[3],[4],[5],[6],[8]]=>9 [4,2,3,5,6,7,8,1]=>[2,4,3,5,6,7,8,1]=>[1,8,7,6,5,3,4,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>9 [3,2,4,5,6,7,8,1]=>[3,2,4,5,6,7,8,1]=>[1,8,7,6,5,4,2,3]=>[[1,2,8],[3],[4],[5],[6],[7]]=>8 [2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>7 [8,7,6,5,4,3,1,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[[1,2,3,4,5,6,7],[8]]=>27 [7,8,6,5,4,3,1,2]=>[7,1,8,6,5,4,3,2]=>[2,3,4,5,6,8,1,7]=>[[1,2,3,4,5,6],[7,8]]=>26 [8,6,7,5,4,3,1,2]=>[6,1,8,7,5,4,3,2]=>[2,3,4,5,7,8,1,6]=>[[1,2,3,4,5,6],[7,8]]=>26 [7,6,8,5,4,3,1,2]=>[7,6,1,8,5,4,3,2]=>[2,3,4,5,8,1,6,7]=>[[1,2,3,4,5,8],[6,7]]=>25 [6,7,8,5,4,3,1,2]=>[6,7,1,8,5,4,3,2]=>[2,3,4,5,8,1,7,6]=>[[1,2,3,4,5],[6,7],[8]]=>24 [8,7,5,6,4,3,1,2]=>[5,1,8,7,6,4,3,2]=>[2,3,4,6,7,8,1,5]=>[[1,2,3,4,5,6],[7,8]]=>26 [7,8,5,6,4,3,1,2]=>[7,5,1,8,6,4,3,2]=>[2,3,4,6,8,1,5,7]=>[[1,2,3,4,5],[6,7,8]]=>25 [8,6,5,7,4,3,1,2]=>[6,5,1,8,7,4,3,2]=>[2,3,4,7,8,1,5,6]=>[[1,2,3,4,5],[6,7,8]]=>25 [8,5,6,7,4,3,1,2]=>[5,6,1,8,7,4,3,2]=>[2,3,4,7,8,1,6,5]=>[[1,2,3,4,5],[6,7],[8]]=>24 [7,6,5,8,4,3,1,2]=>[7,6,5,1,8,4,3,2]=>[2,3,4,8,1,5,6,7]=>[[1,2,3,4,7,8],[5,6]]=>24 [6,7,5,8,4,3,1,2]=>[6,7,5,1,8,4,3,2]=>[2,3,4,8,1,5,7,6]=>[[1,2,3,4,7],[5,6],[8]]=>23 [7,5,6,8,4,3,1,2]=>[5,7,6,1,8,4,3,2]=>[2,3,4,8,1,6,7,5]=>[[1,2,3,4,7],[5,6],[8]]=>23 [6,5,7,8,4,3,1,2]=>[6,5,7,1,8,4,3,2]=>[2,3,4,8,1,7,5,6]=>[[1,2,3,4,8],[5,6],[7]]=>22 [5,6,7,8,4,3,1,2]=>[5,6,7,1,8,4,3,2]=>[2,3,4,8,1,7,6,5]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [8,7,6,4,5,3,1,2]=>[4,1,8,7,6,5,3,2]=>[2,3,5,6,7,8,1,4]=>[[1,2,3,4,5,6],[7,8]]=>26 [7,8,6,4,5,3,1,2]=>[7,4,1,8,6,5,3,2]=>[2,3,5,6,8,1,4,7]=>[[1,2,3,4,5],[6,7,8]]=>25 [8,6,7,4,5,3,1,2]=>[6,4,1,8,7,5,3,2]=>[2,3,5,7,8,1,4,6]=>[[1,2,3,4,5],[6,7,8]]=>25 [6,7,8,4,5,3,1,2]=>[6,7,4,1,8,5,3,2]=>[2,3,5,8,1,4,7,6]=>[[1,2,3,4],[5,6,7],[8]]=>23 [8,7,5,4,6,3,1,2]=>[5,4,1,8,7,6,3,2]=>[2,3,6,7,8,1,4,5]=>[[1,2,3,4,5],[6,7,8]]=>25 [8,7,4,5,6,3,1,2]=>[4,5,1,8,7,6,3,2]=>[2,3,6,7,8,1,5,4]=>[[1,2,3,4,5],[6,7],[8]]=>24 [7,8,4,5,6,3,1,2]=>[4,7,5,1,8,6,3,2]=>[2,3,6,8,1,5,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>23 [8,5,6,4,7,3,1,2]=>[5,6,4,1,8,7,3,2]=>[2,3,7,8,1,4,6,5]=>[[1,2,3,4],[5,6,7],[8]]=>23 [7,6,5,4,8,3,1,2]=>[7,6,5,4,1,8,3,2]=>[2,3,8,1,4,5,6,7]=>[[1,2,3,6,7,8],[4,5]]=>23 [6,7,5,4,8,3,1,2]=>[6,7,5,4,1,8,3,2]=>[2,3,8,1,4,5,7,6]=>[[1,2,3,6,7],[4,5],[8]]=>22 [7,5,6,4,8,3,1,2]=>[5,7,6,4,1,8,3,2]=>[2,3,8,1,4,6,7,5]=>[[1,2,3,6,7],[4,5],[8]]=>22 [6,5,7,4,8,3,1,2]=>[6,5,7,4,1,8,3,2]=>[2,3,8,1,4,7,5,6]=>[[1,2,3,6,8],[4,5],[7]]=>21 [7,6,4,5,8,3,1,2]=>[4,7,6,5,1,8,3,2]=>[2,3,8,1,5,6,7,4]=>[[1,2,3,6,7],[4,5],[8]]=>22 [6,7,4,5,8,3,1,2]=>[6,4,7,5,1,8,3,2]=>[2,3,8,1,5,7,4,6]=>[[1,2,3,6],[4,5,8],[7]]=>21 [7,5,4,6,8,3,1,2]=>[5,4,7,6,1,8,3,2]=>[2,3,8,1,6,7,4,5]=>[[1,2,3,6],[4,5,8],[7]]=>21 [6,5,4,7,8,3,1,2]=>[6,5,4,7,1,8,3,2]=>[2,3,8,1,7,4,5,6]=>[[1,2,3,7,8],[4,5],[6]]=>20 [5,4,6,7,8,3,1,2]=>[5,4,6,7,1,8,3,2]=>[2,3,8,1,7,6,4,5]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [4,5,6,7,8,3,1,2]=>[4,5,6,7,1,8,3,2]=>[2,3,8,1,7,6,5,4]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [8,7,6,5,3,4,1,2]=>[3,1,8,7,6,5,4,2]=>[2,4,5,6,7,8,1,3]=>[[1,2,3,4,5,6],[7,8]]=>26 [7,8,6,5,3,4,1,2]=>[7,3,1,8,6,5,4,2]=>[2,4,5,6,8,1,3,7]=>[[1,2,3,4,5],[6,7,8]]=>25 [8,6,7,5,3,4,1,2]=>[6,3,1,8,7,5,4,2]=>[2,4,5,7,8,1,3,6]=>[[1,2,3,4,5],[6,7,8]]=>25 [6,7,8,5,3,4,1,2]=>[6,7,3,1,8,5,4,2]=>[2,4,5,8,1,3,7,6]=>[[1,2,3,4],[5,6,7],[8]]=>23 [8,7,5,6,3,4,1,2]=>[5,3,1,8,7,6,4,2]=>[2,4,6,7,8,1,3,5]=>[[1,2,3,4,5],[6,7,8]]=>25 [7,8,5,6,3,4,1,2]=>[7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7]=>[[1,2,3,4],[5,6,7,8]]=>24 [8,6,5,7,3,4,1,2]=>[6,5,3,1,8,7,4,2]=>[2,4,7,8,1,3,5,6]=>[[1,2,3,4],[5,6,7,8]]=>24 [7,6,5,8,3,4,1,2]=>[7,6,5,3,1,8,4,2]=>[2,4,8,1,3,5,6,7]=>[[1,2,3,7,8],[4,5,6]]=>23 [6,7,5,8,3,4,1,2]=>[6,7,5,3,1,8,4,2]=>[2,4,8,1,3,5,7,6]=>[[1,2,3,7],[4,5,6],[8]]=>22 [6,5,7,8,3,4,1,2]=>[6,5,7,3,1,8,4,2]=>[2,4,8,1,3,7,5,6]=>[[1,2,3,8],[4,5,6],[7]]=>21 [5,6,7,8,3,4,1,2]=>[5,6,7,3,1,8,4,2]=>[2,4,8,1,3,7,6,5]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [8,7,6,4,3,5,1,2]=>[4,3,1,8,7,6,5,2]=>[2,5,6,7,8,1,3,4]=>[[1,2,3,4,5],[6,7,8]]=>25 [7,8,6,4,3,5,1,2]=>[7,4,3,1,8,6,5,2]=>[2,5,6,8,1,3,4,7]=>[[1,2,3,4],[5,6,7,8]]=>24 [8,6,7,4,3,5,1,2]=>[6,4,3,1,8,7,5,2]=>[2,5,7,8,1,3,4,6]=>[[1,2,3,4],[5,6,7,8]]=>24 [7,6,8,4,3,5,1,2]=>[7,6,4,3,1,8,5,2]=>[2,5,8,1,3,4,6,7]=>[[1,2,3,7,8],[4,5,6]]=>23 [6,7,8,4,3,5,1,2]=>[6,7,4,3,1,8,5,2]=>[2,5,8,1,3,4,7,6]=>[[1,2,3,7],[4,5,6],[8]]=>22 [7,8,6,3,4,5,1,2]=>[3,7,4,1,8,6,5,2]=>[2,5,6,8,1,4,7,3]=>[[1,2,3,4],[5,6,7],[8]]=>23 [8,6,7,3,4,5,1,2]=>[3,6,4,1,8,7,5,2]=>[2,5,7,8,1,4,6,3]=>[[1,2,3,4],[5,6,7],[8]]=>23 [7,6,8,3,4,5,1,2]=>[3,7,6,4,1,8,5,2]=>[2,5,8,1,4,6,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>22 [8,7,5,4,3,6,1,2]=>[5,4,3,1,8,7,6,2]=>[2,6,7,8,1,3,4,5]=>[[1,2,3,4],[5,6,7,8]]=>24 [7,8,5,4,3,6,1,2]=>[7,5,4,3,1,8,6,2]=>[2,6,8,1,3,4,5,7]=>[[1,2,3,7,8],[4,5,6]]=>23 [8,7,4,5,3,6,1,2]=>[4,5,3,1,8,7,6,2]=>[2,6,7,8,1,3,5,4]=>[[1,2,3,4],[5,6,7],[8]]=>23 [7,8,4,5,3,6,1,2]=>[4,7,5,3,1,8,6,2]=>[2,6,8,1,3,5,7,4]=>[[1,2,3,7],[4,5,6],[8]]=>22 [7,8,5,3,4,6,1,2]=>[3,7,5,4,1,8,6,2]=>[2,6,8,1,4,5,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>22 [8,7,4,3,5,6,1,2]=>[4,3,5,1,8,7,6,2]=>[2,6,7,8,1,5,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>22 [7,8,4,3,5,6,1,2]=>[4,3,7,5,1,8,6,2]=>[2,6,8,1,5,7,3,4]=>[[1,2,3],[4,5,6],[7,8]]=>21 [8,7,3,4,5,6,1,2]=>[3,4,5,1,8,7,6,2]=>[2,6,7,8,1,5,4,3]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [7,8,3,4,5,6,1,2]=>[3,4,7,5,1,8,6,2]=>[2,6,8,1,5,7,4,3]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [8,6,5,4,3,7,1,2]=>[6,5,4,3,1,8,7,2]=>[2,7,8,1,3,4,5,6]=>[[1,2,3,7,8],[4,5,6]]=>23 [8,5,4,6,3,7,1,2]=>[5,4,6,3,1,8,7,2]=>[2,7,8,1,3,6,4,5]=>[[1,2,3,8],[4,5,6],[7]]=>21 [8,5,6,3,4,7,1,2]=>[5,3,6,4,1,8,7,2]=>[2,7,8,1,4,6,3,5]=>[[1,2,3],[4,5,6],[7,8]]=>21 [8,6,4,3,5,7,1,2]=>[4,3,6,5,1,8,7,2]=>[2,7,8,1,5,6,3,4]=>[[1,2,3],[4,5,6],[7,8]]=>21 [8,5,4,3,6,7,1,2]=>[5,4,3,6,1,8,7,2]=>[2,7,8,1,6,3,4,5]=>[[1,2,3,8],[4,5,7],[6]]=>20 [8,4,3,5,6,7,1,2]=>[4,3,5,6,1,8,7,2]=>[2,7,8,1,6,5,3,4]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [8,3,4,5,6,7,1,2]=>[3,4,5,6,1,8,7,2]=>[2,7,8,1,6,5,4,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [7,6,5,4,3,8,1,2]=>[7,6,5,4,3,1,8,2]=>[2,8,1,3,4,5,6,7]=>[[1,2,5,6,7,8],[3,4]]=>22 [6,7,5,4,3,8,1,2]=>[6,7,5,4,3,1,8,2]=>[2,8,1,3,4,5,7,6]=>[[1,2,5,6,7],[3,4],[8]]=>21 [7,5,6,4,3,8,1,2]=>[5,7,6,4,3,1,8,2]=>[2,8,1,3,4,6,7,5]=>[[1,2,5,6,7],[3,4],[8]]=>21 [6,5,7,4,3,8,1,2]=>[6,5,7,4,3,1,8,2]=>[2,8,1,3,4,7,5,6]=>[[1,2,5,6,8],[3,4],[7]]=>20 [6,7,4,5,3,8,1,2]=>[6,4,7,5,3,1,8,2]=>[2,8,1,3,5,7,4,6]=>[[1,2,5,6],[3,4,8],[7]]=>20 [7,5,4,6,3,8,1,2]=>[5,4,7,6,3,1,8,2]=>[2,8,1,3,6,7,4,5]=>[[1,2,5,6],[3,4,8],[7]]=>20 [7,4,5,6,3,8,1,2]=>[4,5,7,6,3,1,8,2]=>[2,8,1,3,6,7,5,4]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [6,5,4,7,3,8,1,2]=>[6,5,4,7,3,1,8,2]=>[2,8,1,3,7,4,5,6]=>[[1,2,5,7,8],[3,4],[6]]=>19 [6,4,5,7,3,8,1,2]=>[4,6,5,7,3,1,8,2]=>[2,8,1,3,7,5,6,4]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [4,5,6,7,3,8,1,2]=>[4,5,6,7,3,1,8,2]=>[2,8,1,3,7,6,5,4]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [7,6,5,3,4,8,1,2]=>[3,7,6,5,4,1,8,2]=>[2,8,1,4,5,6,7,3]=>[[1,2,5,6,7],[3,4],[8]]=>21 [6,5,7,3,4,8,1,2]=>[6,5,3,7,4,1,8,2]=>[2,8,1,4,7,3,5,6]=>[[1,2,5,8],[3,4,7],[6]]=>19 [7,6,4,3,5,8,1,2]=>[4,3,7,6,5,1,8,2]=>[2,8,1,5,6,7,3,4]=>[[1,2,5,6],[3,4,8],[7]]=>20 [6,7,4,3,5,8,1,2]=>[6,4,3,7,5,1,8,2]=>[2,8,1,5,7,3,4,6]=>[[1,2,5,8],[3,4,7],[6]]=>19 [7,4,5,3,6,8,1,2]=>[4,5,3,7,6,1,8,2]=>[2,8,1,6,7,3,5,4]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [6,5,4,3,7,8,1,2]=>[6,5,4,3,7,1,8,2]=>[2,8,1,7,3,4,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>18 [6,4,5,3,7,8,1,2]=>[4,6,5,3,7,1,8,2]=>[2,8,1,7,3,5,6,4]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [5,4,6,3,7,8,1,2]=>[5,4,6,3,7,1,8,2]=>[2,8,1,7,3,6,4,5]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [5,6,3,4,7,8,1,2]=>[5,3,6,4,7,1,8,2]=>[2,8,1,7,4,6,3,5]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [6,4,3,5,7,8,1,2]=>[4,3,6,5,7,1,8,2]=>[2,8,1,7,5,6,3,4]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [6,3,4,5,7,8,1,2]=>[3,4,6,5,7,1,8,2]=>[2,8,1,7,5,6,4,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [5,4,3,6,7,8,1,2]=>[5,4,3,6,7,1,8,2]=>[2,8,1,7,6,3,4,5]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [4,3,5,6,7,8,1,2]=>[4,3,5,6,7,1,8,2]=>[2,8,1,7,6,5,3,4]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [3,4,5,6,7,8,1,2]=>[3,4,5,6,7,1,8,2]=>[2,8,1,7,6,5,4,3]=>[[1,2],[3,4],[5],[6],[7],[8]]=>12 [8,7,6,5,4,2,1,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[[1,2,3,4,5,6],[7,8]]=>26 [7,8,6,5,4,2,1,3]=>[7,2,1,8,6,5,4,3]=>[3,4,5,6,8,1,2,7]=>[[1,2,3,4,5],[6,7,8]]=>25 [8,6,7,5,4,2,1,3]=>[6,2,1,8,7,5,4,3]=>[3,4,5,7,8,1,2,6]=>[[1,2,3,4,5],[6,7,8]]=>25 [7,6,8,5,4,2,1,3]=>[7,6,2,1,8,5,4,3]=>[3,4,5,8,1,2,6,7]=>[[1,2,3,4,8],[5,6,7]]=>24 [6,7,8,5,4,2,1,3]=>[6,7,2,1,8,5,4,3]=>[3,4,5,8,1,2,7,6]=>[[1,2,3,4],[5,6,7],[8]]=>23 [8,7,5,6,4,2,1,3]=>[5,2,1,8,7,6,4,3]=>[3,4,6,7,8,1,2,5]=>[[1,2,3,4,5],[6,7,8]]=>25 [7,8,5,6,4,2,1,3]=>[7,5,2,1,8,6,4,3]=>[3,4,6,8,1,2,5,7]=>[[1,2,3,4],[5,6,7,8]]=>24 [8,6,5,7,4,2,1,3]=>[6,5,2,1,8,7,4,3]=>[3,4,7,8,1,2,5,6]=>[[1,2,3,4],[5,6,7,8]]=>24 [8,5,6,7,4,2,1,3]=>[5,6,2,1,8,7,4,3]=>[3,4,7,8,1,2,6,5]=>[[1,2,3,4],[5,6,7],[8]]=>23 [7,6,5,8,4,2,1,3]=>[7,6,5,2,1,8,4,3]=>[3,4,8,1,2,5,6,7]=>[[1,2,3,7,8],[4,5,6]]=>23 [6,7,5,8,4,2,1,3]=>[6,7,5,2,1,8,4,3]=>[3,4,8,1,2,5,7,6]=>[[1,2,3,7],[4,5,6],[8]]=>22 [7,5,6,8,4,2,1,3]=>[5,7,6,2,1,8,4,3]=>[3,4,8,1,2,6,7,5]=>[[1,2,3,7],[4,5,6],[8]]=>22 [5,6,7,8,4,2,1,3]=>[5,6,7,2,1,8,4,3]=>[3,4,8,1,2,7,6,5]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [8,7,6,4,5,2,1,3]=>[4,2,1,8,7,6,5,3]=>[3,5,6,7,8,1,2,4]=>[[1,2,3,4,5],[6,7,8]]=>25 [7,8,6,4,5,2,1,3]=>[7,4,2,1,8,6,5,3]=>[3,5,6,8,1,2,4,7]=>[[1,2,3,4],[5,6,7,8]]=>24 [8,6,7,4,5,2,1,3]=>[6,4,2,1,8,7,5,3]=>[3,5,7,8,1,2,4,6]=>[[1,2,3,4],[5,6,7,8]]=>24 [6,7,8,4,5,2,1,3]=>[6,7,4,2,1,8,5,3]=>[3,5,8,1,2,4,7,6]=>[[1,2,3,7],[4,5,6],[8]]=>22 [8,7,5,4,6,2,1,3]=>[5,4,2,1,8,7,6,3]=>[3,6,7,8,1,2,4,5]=>[[1,2,3,4],[5,6,7,8]]=>24 [7,8,5,4,6,2,1,3]=>[7,5,4,2,1,8,6,3]=>[3,6,8,1,2,4,5,7]=>[[1,2,3,7,8],[4,5,6]]=>23 [8,7,4,5,6,2,1,3]=>[4,5,2,1,8,7,6,3]=>[3,6,7,8,1,2,5,4]=>[[1,2,3,4],[5,6,7],[8]]=>23 [7,8,4,5,6,2,1,3]=>[4,7,5,2,1,8,6,3]=>[3,6,8,1,2,5,7,4]=>[[1,2,3,7],[4,5,6],[8]]=>22 [8,6,5,4,7,2,1,3]=>[6,5,4,2,1,8,7,3]=>[3,7,8,1,2,4,5,6]=>[[1,2,3,7,8],[4,5,6]]=>23 [8,4,5,6,7,2,1,3]=>[4,5,6,2,1,8,7,3]=>[3,7,8,1,2,6,5,4]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [7,6,5,4,8,2,1,3]=>[7,6,5,4,2,1,8,3]=>[3,8,1,2,4,5,6,7]=>[[1,2,5,6,7,8],[3,4]]=>22 [6,7,5,4,8,2,1,3]=>[6,7,5,4,2,1,8,3]=>[3,8,1,2,4,5,7,6]=>[[1,2,5,6,7],[3,4],[8]]=>21 [5,6,7,4,8,2,1,3]=>[5,6,7,4,2,1,8,3]=>[3,8,1,2,4,7,6,5]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [7,6,4,5,8,2,1,3]=>[4,7,6,5,2,1,8,3]=>[3,8,1,2,5,6,7,4]=>[[1,2,5,6,7],[3,4],[8]]=>21 [6,7,4,5,8,2,1,3]=>[6,4,7,5,2,1,8,3]=>[3,8,1,2,5,7,4,6]=>[[1,2,5,6],[3,4,8],[7]]=>20 [7,5,4,6,8,2,1,3]=>[5,4,7,6,2,1,8,3]=>[3,8,1,2,6,7,4,5]=>[[1,2,5,6],[3,4,8],[7]]=>20 [4,5,6,7,8,2,1,3]=>[4,5,6,7,2,1,8,3]=>[3,8,1,2,7,6,5,4]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [8,7,6,5,4,1,2,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[[1,2,3,4,5,6],[7],[8]]=>25 [7,8,6,5,4,1,2,3]=>[1,7,2,8,6,5,4,3]=>[3,4,5,6,8,2,7,1]=>[[1,2,3,4,5],[6,7],[8]]=>24 [7,6,8,5,4,1,2,3]=>[1,7,6,2,8,5,4,3]=>[3,4,5,8,2,6,7,1]=>[[1,2,3,4,7],[5,6],[8]]=>23 [6,7,8,5,4,1,2,3]=>[6,1,7,2,8,5,4,3]=>[3,4,5,8,2,7,1,6]=>[[1,2,3,4],[5,6],[7,8]]=>22 [7,8,5,6,4,1,2,3]=>[1,7,5,2,8,6,4,3]=>[3,4,6,8,2,5,7,1]=>[[1,2,3,4],[5,6,7],[8]]=>23 [8,6,5,7,4,1,2,3]=>[1,6,5,2,8,7,4,3]=>[3,4,7,8,2,5,6,1]=>[[1,2,3,4],[5,6,7],[8]]=>23 [8,5,6,7,4,1,2,3]=>[5,1,6,2,8,7,4,3]=>[3,4,7,8,2,6,1,5]=>[[1,2,3,4],[5,6],[7,8]]=>22 [7,6,5,8,4,1,2,3]=>[1,7,6,5,2,8,4,3]=>[3,4,8,2,5,6,7,1]=>[[1,2,3,6,7],[4,5],[8]]=>22 [7,5,6,8,4,1,2,3]=>[5,1,7,6,2,8,4,3]=>[3,4,8,2,6,7,1,5]=>[[1,2,3,6],[4,5],[7,8]]=>21 [6,5,7,8,4,1,2,3]=>[6,5,1,7,2,8,4,3]=>[3,4,8,2,7,1,5,6]=>[[1,2,3,8],[4,5],[6,7]]=>20 [5,6,7,8,4,1,2,3]=>[5,6,1,7,2,8,4,3]=>[3,4,8,2,7,1,6,5]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [8,7,6,4,5,1,2,3]=>[1,4,2,8,7,6,5,3]=>[3,5,6,7,8,2,4,1]=>[[1,2,3,4,5],[6,7],[8]]=>24 [7,8,6,4,5,1,2,3]=>[1,7,4,2,8,6,5,3]=>[3,5,6,8,2,4,7,1]=>[[1,2,3,4],[5,6,7],[8]]=>23 [8,6,7,4,5,1,2,3]=>[1,6,4,2,8,7,5,3]=>[3,5,7,8,2,4,6,1]=>[[1,2,3,4],[5,6,7],[8]]=>23 [6,7,8,4,5,1,2,3]=>[6,1,7,4,2,8,5,3]=>[3,5,8,2,4,7,1,6]=>[[1,2,3],[4,5,6],[7,8]]=>21 [7,8,5,4,6,1,2,3]=>[1,7,5,4,2,8,6,3]=>[3,6,8,2,4,5,7,1]=>[[1,2,3,7],[4,5,6],[8]]=>22 [7,8,4,5,6,1,2,3]=>[4,1,7,5,2,8,6,3]=>[3,6,8,2,5,7,1,4]=>[[1,2,3],[4,5,6],[7,8]]=>21 [8,5,6,4,7,1,2,3]=>[5,1,6,4,2,8,7,3]=>[3,7,8,2,4,6,1,5]=>[[1,2,3],[4,5,6],[7,8]]=>21 [8,6,4,5,7,1,2,3]=>[4,1,6,5,2,8,7,3]=>[3,7,8,2,5,6,1,4]=>[[1,2,3],[4,5,6],[7,8]]=>21 [7,6,5,4,8,1,2,3]=>[1,7,6,5,4,2,8,3]=>[3,8,2,4,5,6,7,1]=>[[1,2,5,6,7],[3,4],[8]]=>21 [7,5,6,4,8,1,2,3]=>[5,1,7,6,4,2,8,3]=>[3,8,2,4,6,7,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>20 [6,5,7,4,8,1,2,3]=>[6,5,1,7,4,2,8,3]=>[3,8,2,4,7,1,5,6]=>[[1,2,5,8],[3,4],[6,7]]=>19 [5,6,7,4,8,1,2,3]=>[5,6,1,7,4,2,8,3]=>[3,8,2,4,7,1,6,5]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [7,6,4,5,8,1,2,3]=>[4,1,7,6,5,2,8,3]=>[3,8,2,5,6,7,1,4]=>[[1,2,5,6],[3,4],[7,8]]=>20 [6,7,4,5,8,1,2,3]=>[6,4,1,7,5,2,8,3]=>[3,8,2,5,7,1,4,6]=>[[1,2,5],[3,4,8],[6,7]]=>19 [7,5,4,6,8,1,2,3]=>[5,4,1,7,6,2,8,3]=>[3,8,2,6,7,1,4,5]=>[[1,2,5],[3,4,8],[6,7]]=>19 [6,5,4,7,8,1,2,3]=>[6,5,4,1,7,2,8,3]=>[3,8,2,7,1,4,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>18 [6,4,5,7,8,1,2,3]=>[4,6,5,1,7,2,8,3]=>[3,8,2,7,1,5,6,4]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [5,4,6,7,8,1,2,3]=>[5,4,6,1,7,2,8,3]=>[3,8,2,7,1,6,4,5]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [4,5,6,7,8,1,2,3]=>[4,5,6,1,7,2,8,3]=>[3,8,2,7,1,6,5,4]=>[[1,2],[3,4],[5,6],[7],[8]]=>15 [8,7,6,5,3,2,1,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[[1,2,3,4,5],[6,7,8]]=>25 [7,8,6,5,3,2,1,4]=>[7,3,2,1,8,6,5,4]=>[4,5,6,8,1,2,3,7]=>[[1,2,3,4],[5,6,7,8]]=>24 [8,6,7,5,3,2,1,4]=>[6,3,2,1,8,7,5,4]=>[4,5,7,8,1,2,3,6]=>[[1,2,3,4],[5,6,7,8]]=>24 [7,6,8,5,3,2,1,4]=>[7,6,3,2,1,8,5,4]=>[4,5,8,1,2,3,6,7]=>[[1,2,3,7,8],[4,5,6]]=>23 [6,7,8,5,3,2,1,4]=>[6,7,3,2,1,8,5,4]=>[4,5,8,1,2,3,7,6]=>[[1,2,3,7],[4,5,6],[8]]=>22 [8,7,5,6,3,2,1,4]=>[5,3,2,1,8,7,6,4]=>[4,6,7,8,1,2,3,5]=>[[1,2,3,4],[5,6,7,8]]=>24 [7,8,5,6,3,2,1,4]=>[7,5,3,2,1,8,6,4]=>[4,6,8,1,2,3,5,7]=>[[1,2,3,7,8],[4,5,6]]=>23 [8,6,5,7,3,2,1,4]=>[6,5,3,2,1,8,7,4]=>[4,7,8,1,2,3,5,6]=>[[1,2,3,7,8],[4,5,6]]=>23 [8,5,6,7,3,2,1,4]=>[5,6,3,2,1,8,7,4]=>[4,7,8,1,2,3,6,5]=>[[1,2,3,7],[4,5,6],[8]]=>22 [7,6,5,8,3,2,1,4]=>[7,6,5,3,2,1,8,4]=>[4,8,1,2,3,5,6,7]=>[[1,2,5,6,7,8],[3,4]]=>22 [6,7,5,8,3,2,1,4]=>[6,7,5,3,2,1,8,4]=>[4,8,1,2,3,5,7,6]=>[[1,2,5,6,7],[3,4],[8]]=>21 [6,5,7,8,3,2,1,4]=>[6,5,7,3,2,1,8,4]=>[4,8,1,2,3,7,5,6]=>[[1,2,5,6,8],[3,4],[7]]=>20 [5,6,7,8,3,2,1,4]=>[5,6,7,3,2,1,8,4]=>[4,8,1,2,3,7,6,5]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [8,7,6,5,2,3,1,4]=>[2,3,1,8,7,6,5,4]=>[4,5,6,7,8,1,3,2]=>[[1,2,3,4,5],[6,7],[8]]=>24 [7,8,6,5,2,3,1,4]=>[2,7,3,1,8,6,5,4]=>[4,5,6,8,1,3,7,2]=>[[1,2,3,4],[5,6,7],[8]]=>23 [6,7,8,5,2,3,1,4]=>[6,2,7,3,1,8,5,4]=>[4,5,8,1,3,7,2,6]=>[[1,2,3],[4,5,6],[7,8]]=>21 [8,7,5,6,2,3,1,4]=>[2,5,3,1,8,7,6,4]=>[4,6,7,8,1,3,5,2]=>[[1,2,3,4],[5,6,7],[8]]=>23 [7,8,5,6,2,3,1,4]=>[2,7,5,3,1,8,6,4]=>[4,6,8,1,3,5,7,2]=>[[1,2,3,7],[4,5,6],[8]]=>22 [8,6,5,7,2,3,1,4]=>[2,6,5,3,1,8,7,4]=>[4,7,8,1,3,5,6,2]=>[[1,2,3,7],[4,5,6],[8]]=>22 [8,5,6,7,2,3,1,4]=>[5,2,6,3,1,8,7,4]=>[4,7,8,1,3,6,2,5]=>[[1,2,3],[4,5,6],[7,8]]=>21 [7,6,5,8,2,3,1,4]=>[2,7,6,5,3,1,8,4]=>[4,8,1,3,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>21 [6,7,5,8,2,3,1,4]=>[6,2,7,5,3,1,8,4]=>[4,8,1,3,5,7,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>20 [7,5,6,8,2,3,1,4]=>[5,2,7,6,3,1,8,4]=>[4,8,1,3,6,7,2,5]=>[[1,2,5,6],[3,4],[7,8]]=>20 [6,5,7,8,2,3,1,4]=>[6,5,2,7,3,1,8,4]=>[4,8,1,3,7,2,5,6]=>[[1,2,5,8],[3,4],[6,7]]=>19 [5,6,7,8,2,3,1,4]=>[5,6,2,7,3,1,8,4]=>[4,8,1,3,7,2,6,5]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [8,7,6,5,3,1,2,4]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[[1,2,3,4,5],[6,7],[8]]=>24 [7,8,6,5,3,1,2,4]=>[1,7,3,2,8,6,5,4]=>[4,5,6,8,2,3,7,1]=>[[1,2,3,4],[5,6,7],[8]]=>23 [7,6,8,5,3,1,2,4]=>[1,7,6,3,2,8,5,4]=>[4,5,8,2,3,6,7,1]=>[[1,2,3,7],[4,5,6],[8]]=>22 [6,7,8,5,3,1,2,4]=>[6,1,7,3,2,8,5,4]=>[4,5,8,2,3,7,1,6]=>[[1,2,3],[4,5,6],[7,8]]=>21 [8,7,5,6,3,1,2,4]=>[1,5,3,2,8,7,6,4]=>[4,6,7,8,2,3,5,1]=>[[1,2,3,4],[5,6,7],[8]]=>23 [7,8,5,6,3,1,2,4]=>[1,7,5,3,2,8,6,4]=>[4,6,8,2,3,5,7,1]=>[[1,2,3,7],[4,5,6],[8]]=>22 [7,6,5,8,3,1,2,4]=>[1,7,6,5,3,2,8,4]=>[4,8,2,3,5,6,7,1]=>[[1,2,5,6,7],[3,4],[8]]=>21 [6,7,5,8,3,1,2,4]=>[6,1,7,5,3,2,8,4]=>[4,8,2,3,5,7,1,6]=>[[1,2,5,6],[3,4],[7,8]]=>20 [7,5,6,8,3,1,2,4]=>[5,1,7,6,3,2,8,4]=>[4,8,2,3,6,7,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>20 [5,6,7,8,3,1,2,4]=>[5,6,1,7,3,2,8,4]=>[4,8,2,3,7,1,6,5]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [8,7,6,5,2,1,3,4]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[[1,2,3,4,5],[6,8],[7]]=>23 [7,6,8,5,2,1,3,4]=>[2,1,7,6,3,8,5,4]=>[4,5,8,3,6,7,1,2]=>[[1,2,3,6],[4,5],[7,8]]=>21 [6,7,8,5,2,1,3,4]=>[6,2,1,7,3,8,5,4]=>[4,5,8,3,7,1,2,6]=>[[1,2,3],[4,5,8],[6,7]]=>20 [8,7,5,6,2,1,3,4]=>[2,1,5,3,8,7,6,4]=>[4,6,7,8,3,5,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>22 [7,8,5,6,2,1,3,4]=>[2,1,7,5,3,8,6,4]=>[4,6,8,3,5,7,1,2]=>[[1,2,3],[4,5,6],[7,8]]=>21 [8,6,5,7,2,1,3,4]=>[2,1,6,5,3,8,7,4]=>[4,7,8,3,5,6,1,2]=>[[1,2,3],[4,5,6],[7,8]]=>21 [7,6,5,8,2,1,3,4]=>[2,1,7,6,5,3,8,4]=>[4,8,3,5,6,7,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>20 [6,7,5,8,2,1,3,4]=>[6,2,1,7,5,3,8,4]=>[4,8,3,5,7,1,2,6]=>[[1,2,5],[3,4,8],[6,7]]=>19 [6,5,7,8,2,1,3,4]=>[6,5,2,1,7,3,8,4]=>[4,8,3,7,1,2,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>18 [5,6,7,8,2,1,3,4]=>[5,6,2,1,7,3,8,4]=>[4,8,3,7,1,2,6,5]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [8,7,6,5,1,2,3,4]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [7,8,6,5,1,2,3,4]=>[1,2,7,3,8,6,5,4]=>[4,5,6,8,3,7,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [8,6,7,5,1,2,3,4]=>[1,2,6,3,8,7,5,4]=>[4,5,7,8,3,6,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [7,6,8,5,1,2,3,4]=>[1,2,7,6,3,8,5,4]=>[4,5,8,3,6,7,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [6,7,8,5,1,2,3,4]=>[1,6,2,7,3,8,5,4]=>[4,5,8,3,7,2,6,1]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [8,7,5,6,1,2,3,4]=>[1,2,5,3,8,7,6,4]=>[4,6,7,8,3,5,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [7,8,5,6,1,2,3,4]=>[1,2,7,5,3,8,6,4]=>[4,6,8,3,5,7,2,1]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [8,6,5,7,1,2,3,4]=>[1,2,6,5,3,8,7,4]=>[4,7,8,3,5,6,2,1]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [8,5,6,7,1,2,3,4]=>[1,5,2,6,3,8,7,4]=>[4,7,8,3,6,2,5,1]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [7,6,5,8,1,2,3,4]=>[1,2,7,6,5,3,8,4]=>[4,8,3,5,6,7,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [6,7,5,8,1,2,3,4]=>[1,6,2,7,5,3,8,4]=>[4,8,3,5,7,2,6,1]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [7,5,6,8,1,2,3,4]=>[1,5,2,7,6,3,8,4]=>[4,8,3,6,7,2,5,1]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [6,5,7,8,1,2,3,4]=>[1,6,5,2,7,3,8,4]=>[4,8,3,7,2,5,6,1]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [5,6,7,8,1,2,3,4]=>[5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5]=>[[1,2],[3,4],[5,6],[7,8]]=>16 [8,7,6,4,3,2,1,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[1,2,3,4],[5,6,7,8]]=>24 [7,8,6,4,3,2,1,5]=>[7,4,3,2,1,8,6,5]=>[5,6,8,1,2,3,4,7]=>[[1,2,3,7,8],[4,5,6]]=>23 [8,6,7,4,3,2,1,5]=>[6,4,3,2,1,8,7,5]=>[5,7,8,1,2,3,4,6]=>[[1,2,3,7,8],[4,5,6]]=>23 [7,6,8,4,3,2,1,5]=>[7,6,4,3,2,1,8,5]=>[5,8,1,2,3,4,6,7]=>[[1,2,5,6,7,8],[3,4]]=>22 [6,7,8,4,3,2,1,5]=>[6,7,4,3,2,1,8,5]=>[5,8,1,2,3,4,7,6]=>[[1,2,5,6,7],[3,4],[8]]=>21 [8,7,6,3,4,2,1,5]=>[3,4,2,1,8,7,6,5]=>[5,6,7,8,1,2,4,3]=>[[1,2,3,4],[5,6,7],[8]]=>23 [7,8,6,3,4,2,1,5]=>[3,7,4,2,1,8,6,5]=>[5,6,8,1,2,4,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>22 [8,6,7,3,4,2,1,5]=>[3,6,4,2,1,8,7,5]=>[5,7,8,1,2,4,6,3]=>[[1,2,3,7],[4,5,6],[8]]=>22 [8,7,6,4,2,3,1,5]=>[2,4,3,1,8,7,6,5]=>[5,6,7,8,1,3,4,2]=>[[1,2,3,4],[5,6,7],[8]]=>23 [8,6,7,4,2,3,1,5]=>[2,6,4,3,1,8,7,5]=>[5,7,8,1,3,4,6,2]=>[[1,2,3,7],[4,5,6],[8]]=>22 [6,7,8,4,2,3,1,5]=>[6,2,7,4,3,1,8,5]=>[5,8,1,3,4,7,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>20 [8,7,6,3,2,4,1,5]=>[3,2,4,1,8,7,6,5]=>[5,6,7,8,1,4,2,3]=>[[1,2,3,4],[5,6,8],[7]]=>22 [8,6,7,3,2,4,1,5]=>[3,2,6,4,1,8,7,5]=>[5,7,8,1,4,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>21 [7,6,8,3,2,4,1,5]=>[3,2,7,6,4,1,8,5]=>[5,8,1,4,6,7,2,3]=>[[1,2,5,6],[3,4],[7,8]]=>20 [8,7,6,2,3,4,1,5]=>[2,3,4,1,8,7,6,5]=>[5,6,7,8,1,4,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [8,6,7,2,3,4,1,5]=>[2,3,6,4,1,8,7,5]=>[5,7,8,1,4,6,3,2]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [6,7,8,2,3,4,1,5]=>[2,6,3,7,4,1,8,5]=>[5,8,1,4,7,3,6,2]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [8,7,6,4,3,1,2,5]=>[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>[[1,2,3,4],[5,6,7],[8]]=>23 [7,8,6,4,3,1,2,5]=>[1,7,4,3,2,8,6,5]=>[5,6,8,2,3,4,7,1]=>[[1,2,3,7],[4,5,6],[8]]=>22 [7,6,8,4,3,1,2,5]=>[1,7,6,4,3,2,8,5]=>[5,8,2,3,4,6,7,1]=>[[1,2,5,6,7],[3,4],[8]]=>21 [6,7,8,4,3,1,2,5]=>[6,1,7,4,3,2,8,5]=>[5,8,2,3,4,7,1,6]=>[[1,2,5,6],[3,4],[7,8]]=>20 [8,7,6,3,4,1,2,5]=>[3,1,4,2,8,7,6,5]=>[5,6,7,8,2,4,1,3]=>[[1,2,3,4],[5,6],[7,8]]=>22 [7,6,8,3,4,1,2,5]=>[3,1,7,6,4,2,8,5]=>[5,8,2,4,6,7,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>20 [6,7,8,3,4,1,2,5]=>[6,3,1,7,4,2,8,5]=>[5,8,2,4,7,1,3,6]=>[[1,2,5],[3,4,8],[6,7]]=>19 [8,7,6,4,2,1,3,5]=>[2,1,4,3,8,7,6,5]=>[5,6,7,8,3,4,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>22 [8,7,6,4,1,2,3,5]=>[1,2,4,3,8,7,6,5]=>[5,6,7,8,3,4,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [8,6,7,4,1,2,3,5]=>[1,2,6,4,3,8,7,5]=>[5,7,8,3,4,6,2,1]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [7,6,8,4,1,2,3,5]=>[1,2,7,6,4,3,8,5]=>[5,8,3,4,6,7,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [8,7,6,3,2,1,4,5]=>[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>[[1,2,3,4],[5,7,8],[6]]=>21 [8,7,6,2,3,1,4,5]=>[2,3,1,4,8,7,6,5]=>[5,6,7,8,4,1,3,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [6,7,8,2,3,1,4,5]=>[2,6,3,1,7,4,8,5]=>[5,8,4,7,1,3,6,2]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [8,7,6,3,1,2,4,5]=>[1,3,2,4,8,7,6,5]=>[5,6,7,8,4,2,3,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [8,7,6,2,1,3,4,5]=>[2,1,3,4,8,7,6,5]=>[5,6,7,8,4,3,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [7,8,6,2,1,3,4,5]=>[2,1,3,7,4,8,6,5]=>[5,6,8,4,7,3,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [6,7,8,2,1,3,4,5]=>[2,1,6,3,7,4,8,5]=>[5,8,4,7,3,6,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>16 [8,7,6,1,2,3,4,5]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>18 [7,8,6,1,2,3,4,5]=>[1,2,3,7,4,8,6,5]=>[5,6,8,4,7,3,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [8,6,7,1,2,3,4,5]=>[1,2,3,6,4,8,7,5]=>[5,7,8,4,6,3,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [6,7,8,1,2,3,4,5]=>[1,2,6,3,7,4,8,5]=>[5,8,4,7,3,6,2,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>15 [8,7,5,4,3,2,1,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[[1,2,3,7,8],[4,5,6]]=>23 [7,8,5,4,3,2,1,6]=>[7,5,4,3,2,1,8,6]=>[6,8,1,2,3,4,5,7]=>[[1,2,5,6,7,8],[3,4]]=>22 [8,7,4,5,3,2,1,6]=>[4,5,3,2,1,8,7,6]=>[6,7,8,1,2,3,5,4]=>[[1,2,3,7],[4,5,6],[8]]=>22 [8,7,5,3,4,2,1,6]=>[3,5,4,2,1,8,7,6]=>[6,7,8,1,2,4,5,3]=>[[1,2,3,7],[4,5,6],[8]]=>22 [8,7,4,3,5,2,1,6]=>[4,3,5,2,1,8,7,6]=>[6,7,8,1,2,5,3,4]=>[[1,2,3,8],[4,5,6],[7]]=>21 [8,7,3,4,5,2,1,6]=>[3,4,5,2,1,8,7,6]=>[6,7,8,1,2,5,4,3]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [7,8,3,4,5,2,1,6]=>[3,4,7,5,2,1,8,6]=>[6,8,1,2,5,7,4,3]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [8,7,5,4,2,3,1,6]=>[2,5,4,3,1,8,7,6]=>[6,7,8,1,3,4,5,2]=>[[1,2,3,7],[4,5,6],[8]]=>22 [8,7,4,5,2,3,1,6]=>[4,2,5,3,1,8,7,6]=>[6,7,8,1,3,5,2,4]=>[[1,2,3],[4,5,6],[7,8]]=>21 [7,8,4,5,2,3,1,6]=>[4,2,7,5,3,1,8,6]=>[6,8,1,3,5,7,2,4]=>[[1,2,5,6],[3,4],[7,8]]=>20 [8,7,5,3,2,4,1,6]=>[3,2,5,4,1,8,7,6]=>[6,7,8,1,4,5,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>21 [7,8,5,3,2,4,1,6]=>[3,2,7,5,4,1,8,6]=>[6,8,1,4,5,7,2,3]=>[[1,2,5,6],[3,4],[7,8]]=>20 [7,8,5,2,3,4,1,6]=>[2,3,7,5,4,1,8,6]=>[6,8,1,4,5,7,3,2]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [8,7,4,3,2,5,1,6]=>[4,3,2,5,1,8,7,6]=>[6,7,8,1,5,2,3,4]=>[[1,2,3,8],[4,5,7],[6]]=>20 [7,8,4,3,2,5,1,6]=>[4,3,2,7,5,1,8,6]=>[6,8,1,5,7,2,3,4]=>[[1,2,5,8],[3,4],[6,7]]=>19 [8,7,3,4,2,5,1,6]=>[3,4,2,5,1,8,7,6]=>[6,7,8,1,5,2,4,3]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [8,7,2,3,4,5,1,6]=>[2,3,4,5,1,8,7,6]=>[6,7,8,1,5,4,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [8,7,5,4,3,1,2,6]=>[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]=>[[1,2,3,7],[4,5,6],[8]]=>22 [8,7,5,3,4,1,2,6]=>[3,1,5,4,2,8,7,6]=>[6,7,8,2,4,5,1,3]=>[[1,2,3],[4,5,6],[7,8]]=>21 [7,8,5,3,4,1,2,6]=>[3,1,7,5,4,2,8,6]=>[6,8,2,4,5,7,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>20 [7,8,4,3,5,1,2,6]=>[4,3,1,7,5,2,8,6]=>[6,8,2,5,7,1,3,4]=>[[1,2,5],[3,4,8],[6,7]]=>19 [7,8,3,4,5,1,2,6]=>[3,4,1,7,5,2,8,6]=>[6,8,2,5,7,1,4,3]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [7,8,5,4,2,1,3,6]=>[2,1,7,5,4,3,8,6]=>[6,8,3,4,5,7,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>20 [8,7,5,4,1,2,3,6]=>[1,2,5,4,3,8,7,6]=>[6,7,8,3,4,5,2,1]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [7,8,5,4,1,2,3,6]=>[1,2,7,5,4,3,8,6]=>[6,8,3,4,5,7,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [8,7,5,3,2,1,4,6]=>[3,2,1,5,4,8,7,6]=>[6,7,8,4,5,1,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>20 [7,8,5,3,2,1,4,6]=>[3,2,1,7,5,4,8,6]=>[6,8,4,5,7,1,2,3]=>[[1,2,5],[3,4,8],[6,7]]=>19 [8,7,5,2,1,3,4,6]=>[2,1,3,5,4,8,7,6]=>[6,7,8,4,5,3,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [8,7,4,3,2,1,5,6]=>[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>[[1,2,3,8],[4,6,7],[5]]=>19 [7,8,4,3,2,1,5,6]=>[4,3,2,1,7,5,8,6]=>[6,8,5,7,1,2,3,4]=>[[1,2,7,8],[3,4],[5,6]]=>18 [8,7,3,4,2,1,5,6]=>[3,4,2,1,5,8,7,6]=>[6,7,8,5,1,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [7,8,3,4,2,1,5,6]=>[3,4,2,1,7,5,8,6]=>[6,8,5,7,1,2,4,3]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [8,7,3,2,4,1,5,6]=>[3,2,4,1,5,8,7,6]=>[6,7,8,5,1,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [7,8,3,2,4,1,5,6]=>[3,2,4,1,7,5,8,6]=>[6,8,5,7,1,4,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [8,7,2,3,4,1,5,6]=>[2,3,4,1,5,8,7,6]=>[6,7,8,5,1,4,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [7,8,2,3,4,1,5,6]=>[2,3,4,1,7,5,8,6]=>[6,8,5,7,1,4,3,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>15 [8,7,4,3,1,2,5,6]=>[1,4,3,2,5,8,7,6]=>[6,7,8,5,2,3,4,1]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [8,7,3,4,1,2,5,6]=>[3,1,4,2,5,8,7,6]=>[6,7,8,5,2,4,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [7,8,3,4,1,2,5,6]=>[3,1,4,2,7,5,8,6]=>[6,8,5,7,2,4,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>16 [8,7,4,2,1,3,5,6]=>[2,1,4,3,5,8,7,6]=>[6,7,8,5,3,4,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [7,8,4,2,1,3,5,6]=>[2,1,4,3,7,5,8,6]=>[6,8,5,7,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>16 [8,7,3,2,1,4,5,6]=>[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [7,8,3,2,1,4,5,6]=>[3,2,1,4,7,5,8,6]=>[6,8,5,7,4,1,2,3]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [7,8,3,1,2,4,5,6]=>[1,3,2,4,7,5,8,6]=>[6,8,5,7,4,2,3,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>14 [8,7,2,1,3,4,5,6]=>[2,1,3,4,5,8,7,6]=>[6,7,8,5,4,3,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [8,7,1,2,3,4,5,6]=>[1,2,3,4,5,8,7,6]=>[6,7,8,5,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>13 [7,8,1,2,3,4,5,6]=>[1,2,3,4,7,5,8,6]=>[6,8,5,7,4,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>12 [8,6,5,4,3,2,1,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[[1,2,5,6,7,8],[3,4]]=>22 [8,5,6,4,3,2,1,7]=>[5,6,4,3,2,1,8,7]=>[7,8,1,2,3,4,6,5]=>[[1,2,5,6,7],[3,4],[8]]=>21 [8,6,4,5,3,2,1,7]=>[4,6,5,3,2,1,8,7]=>[7,8,1,2,3,5,6,4]=>[[1,2,5,6,7],[3,4],[8]]=>21 [8,4,5,6,3,2,1,7]=>[4,5,6,3,2,1,8,7]=>[7,8,1,2,3,6,5,4]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [8,6,5,3,4,2,1,7]=>[3,6,5,4,2,1,8,7]=>[7,8,1,2,4,5,6,3]=>[[1,2,5,6,7],[3,4],[8]]=>21 [8,5,6,3,4,2,1,7]=>[5,3,6,4,2,1,8,7]=>[7,8,1,2,4,6,3,5]=>[[1,2,5,6],[3,4],[7,8]]=>20 [8,6,4,3,5,2,1,7]=>[4,3,6,5,2,1,8,7]=>[7,8,1,2,5,6,3,4]=>[[1,2,5,6],[3,4],[7,8]]=>20 [8,3,4,5,6,2,1,7]=>[3,4,5,6,2,1,8,7]=>[7,8,1,2,6,5,4,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [8,6,5,4,2,3,1,7]=>[2,6,5,4,3,1,8,7]=>[7,8,1,3,4,5,6,2]=>[[1,2,5,6,7],[3,4],[8]]=>21 [8,6,4,5,2,3,1,7]=>[4,2,6,5,3,1,8,7]=>[7,8,1,3,5,6,2,4]=>[[1,2,5,6],[3,4],[7,8]]=>20 [8,4,5,6,2,3,1,7]=>[4,5,2,6,3,1,8,7]=>[7,8,1,3,6,2,5,4]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [8,6,5,3,2,4,1,7]=>[3,2,6,5,4,1,8,7]=>[7,8,1,4,5,6,2,3]=>[[1,2,5,6],[3,4],[7,8]]=>20 [8,6,5,2,3,4,1,7]=>[2,3,6,5,4,1,8,7]=>[7,8,1,4,5,6,3,2]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [8,6,4,3,2,5,1,7]=>[4,3,2,6,5,1,8,7]=>[7,8,1,5,6,2,3,4]=>[[1,2,5,8],[3,4],[6,7]]=>19 [8,6,4,2,3,5,1,7]=>[2,4,3,6,5,1,8,7]=>[7,8,1,5,6,3,4,2]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [8,6,3,2,4,5,1,7]=>[3,2,4,6,5,1,8,7]=>[7,8,1,5,6,4,2,3]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [8,5,4,3,2,6,1,7]=>[5,4,3,2,6,1,8,7]=>[7,8,1,6,2,3,4,5]=>[[1,2,6,7,8],[3,4],[5]]=>18 [8,4,5,3,2,6,1,7]=>[4,5,3,2,6,1,8,7]=>[7,8,1,6,2,3,5,4]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [8,5,3,4,2,6,1,7]=>[3,5,4,2,6,1,8,7]=>[7,8,1,6,2,4,5,3]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [8,4,3,5,2,6,1,7]=>[4,3,5,2,6,1,8,7]=>[7,8,1,6,2,5,3,4]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [8,3,4,5,2,6,1,7]=>[3,4,5,2,6,1,8,7]=>[7,8,1,6,2,5,4,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [8,5,4,2,3,6,1,7]=>[2,5,4,3,6,1,8,7]=>[7,8,1,6,3,4,5,2]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [8,4,5,2,3,6,1,7]=>[4,2,5,3,6,1,8,7]=>[7,8,1,6,3,5,2,4]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [8,5,3,2,4,6,1,7]=>[3,2,5,4,6,1,8,7]=>[7,8,1,6,4,5,2,3]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [8,4,3,2,5,6,1,7]=>[4,3,2,5,6,1,8,7]=>[7,8,1,6,5,2,3,4]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [8,4,2,3,5,6,1,7]=>[2,4,3,5,6,1,8,7]=>[7,8,1,6,5,3,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>14 [8,2,3,4,5,6,1,7]=>[2,3,4,5,6,1,8,7]=>[7,8,1,6,5,4,3,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>12 [8,6,5,4,3,1,2,7]=>[1,6,5,4,3,2,8,7]=>[7,8,2,3,4,5,6,1]=>[[1,2,5,6,7],[3,4],[8]]=>21 [8,6,4,5,3,1,2,7]=>[4,1,6,5,3,2,8,7]=>[7,8,2,3,5,6,1,4]=>[[1,2,5,6],[3,4],[7,8]]=>20 [8,5,4,6,3,1,2,7]=>[5,4,1,6,3,2,8,7]=>[7,8,2,3,6,1,4,5]=>[[1,2,5,8],[3,4],[6,7]]=>19 [8,6,5,3,4,1,2,7]=>[3,1,6,5,4,2,8,7]=>[7,8,2,4,5,6,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>20 [8,5,6,3,4,1,2,7]=>[5,3,1,6,4,2,8,7]=>[7,8,2,4,6,1,3,5]=>[[1,2,5],[3,4,8],[6,7]]=>19 [8,6,4,3,5,1,2,7]=>[4,3,1,6,5,2,8,7]=>[7,8,2,5,6,1,3,4]=>[[1,2,5],[3,4,8],[6,7]]=>19 [8,6,3,4,5,1,2,7]=>[3,4,1,6,5,2,8,7]=>[7,8,2,5,6,1,4,3]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [8,4,3,5,6,1,2,7]=>[4,3,5,1,6,2,8,7]=>[7,8,2,6,1,5,3,4]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [8,3,4,5,6,1,2,7]=>[3,4,5,1,6,2,8,7]=>[7,8,2,6,1,5,4,3]=>[[1,2],[3,4],[5,6],[7],[8]]=>15 [8,6,5,4,2,1,3,7]=>[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>20 [8,6,4,5,2,1,3,7]=>[4,2,1,6,5,3,8,7]=>[7,8,3,5,6,1,2,4]=>[[1,2,5],[3,4,8],[6,7]]=>19 [8,6,5,4,1,2,3,7]=>[1,2,6,5,4,3,8,7]=>[7,8,3,4,5,6,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [8,5,4,6,1,2,3,7]=>[1,5,4,2,6,3,8,7]=>[7,8,3,6,2,4,5,1]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [8,4,5,6,1,2,3,7]=>[4,1,5,2,6,3,8,7]=>[7,8,3,6,2,5,1,4]=>[[1,2],[3,4],[5,6],[7,8]]=>16 [8,6,5,3,2,1,4,7]=>[3,2,1,6,5,4,8,7]=>[7,8,4,5,6,1,2,3]=>[[1,2,5],[3,4,8],[6,7]]=>19 [8,5,6,3,2,1,4,7]=>[5,3,2,1,6,4,8,7]=>[7,8,4,6,1,2,3,5]=>[[1,2,7,8],[3,4],[5,6]]=>18 [8,6,5,2,3,1,4,7]=>[2,3,1,6,5,4,8,7]=>[7,8,4,5,6,1,3,2]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [8,5,6,2,3,1,4,7]=>[2,5,3,1,6,4,8,7]=>[7,8,4,6,1,3,5,2]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [8,6,5,3,1,2,4,7]=>[1,3,2,6,5,4,8,7]=>[7,8,4,5,6,2,3,1]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [8,5,6,2,1,3,4,7]=>[2,1,5,3,6,4,8,7]=>[7,8,4,6,3,5,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>16 [8,6,4,3,2,1,5,7]=>[4,3,2,1,6,5,8,7]=>[7,8,5,6,1,2,3,4]=>[[1,2,7,8],[3,4],[5,6]]=>18 [8,6,3,4,2,1,5,7]=>[3,4,2,1,6,5,8,7]=>[7,8,5,6,1,2,4,3]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [8,6,4,2,3,1,5,7]=>[2,4,3,1,6,5,8,7]=>[7,8,5,6,1,3,4,2]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [8,6,3,2,4,1,5,7]=>[3,2,4,1,6,5,8,7]=>[7,8,5,6,1,4,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [8,6,4,3,1,2,5,7]=>[1,4,3,2,6,5,8,7]=>[7,8,5,6,2,3,4,1]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [8,6,3,4,1,2,5,7]=>[3,1,4,2,6,5,8,7]=>[7,8,5,6,2,4,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>16 [8,6,4,2,1,3,5,7]=>[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>16 [8,6,4,1,2,3,5,7]=>[1,2,4,3,6,5,8,7]=>[7,8,5,6,3,4,2,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>15 [8,6,3,2,1,4,5,7]=>[3,2,1,4,6,5,8,7]=>[7,8,5,6,4,1,2,3]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [8,6,2,3,1,4,5,7]=>[2,3,1,4,6,5,8,7]=>[7,8,5,6,4,1,3,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>14 [8,6,1,2,3,4,5,7]=>[1,2,3,4,6,5,8,7]=>[7,8,5,6,4,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>12 [8,5,4,3,2,1,6,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[[1,2,6,7,8],[3,5],[4]]=>17 [8,5,4,2,3,1,6,7]=>[2,5,4,3,1,6,8,7]=>[7,8,6,1,3,4,5,2]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [8,4,5,2,3,1,6,7]=>[4,2,5,3,1,6,8,7]=>[7,8,6,1,3,5,2,4]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [8,5,3,2,4,1,6,7]=>[3,2,5,4,1,6,8,7]=>[7,8,6,1,4,5,2,3]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [8,5,2,3,4,1,6,7]=>[2,3,5,4,1,6,8,7]=>[7,8,6,1,4,5,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [8,4,2,3,5,1,6,7]=>[2,4,3,5,1,6,8,7]=>[7,8,6,1,5,3,4,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [8,2,3,4,5,1,6,7]=>[2,3,4,5,1,6,8,7]=>[7,8,6,1,5,4,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>11 [8,5,4,3,1,2,6,7]=>[1,5,4,3,2,6,8,7]=>[7,8,6,2,3,4,5,1]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [8,4,3,5,1,2,6,7]=>[4,3,1,5,2,6,8,7]=>[7,8,6,2,5,1,3,4]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [8,4,5,2,1,3,6,7]=>[4,2,1,5,3,6,8,7]=>[7,8,6,3,5,1,2,4]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [8,5,4,1,2,3,6,7]=>[1,2,5,4,3,6,8,7]=>[7,8,6,3,4,5,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [8,5,2,1,3,4,6,7]=>[2,1,3,5,4,6,8,7]=>[7,8,6,4,5,3,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>12 [8,5,1,2,3,4,6,7]=>[1,2,3,5,4,6,8,7]=>[7,8,6,4,5,3,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>11 [8,4,3,2,1,5,6,7]=>[4,3,2,1,5,6,8,7]=>[7,8,6,5,1,2,3,4]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [8,3,4,2,1,5,6,7]=>[3,4,2,1,5,6,8,7]=>[7,8,6,5,1,2,4,3]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [8,3,2,4,1,5,6,7]=>[3,2,4,1,5,6,8,7]=>[7,8,6,5,1,4,2,3]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [8,2,3,4,1,5,6,7]=>[2,3,4,1,5,6,8,7]=>[7,8,6,5,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>10 [8,4,2,1,3,5,6,7]=>[2,1,4,3,5,6,8,7]=>[7,8,6,5,3,4,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>11 [8,4,1,2,3,5,6,7]=>[1,2,4,3,5,6,8,7]=>[7,8,6,5,3,4,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>10 [8,3,2,1,4,5,6,7]=>[3,2,1,4,5,6,8,7]=>[7,8,6,5,4,1,2,3]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [8,2,3,1,4,5,6,7]=>[2,3,1,4,5,6,8,7]=>[7,8,6,5,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>9 [8,3,1,2,4,5,6,7]=>[1,3,2,4,5,6,8,7]=>[7,8,6,5,4,2,3,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>9 [8,2,1,3,4,5,6,7]=>[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>8 [8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>7 [7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[[1,3,4,5,6,7,8],[2]]=>21 [6,7,5,4,3,2,1,8]=>[6,7,5,4,3,2,1,8]=>[8,1,2,3,4,5,7,6]=>[[1,3,4,5,6,7],[2],[8]]=>20 [7,5,6,4,3,2,1,8]=>[5,7,6,4,3,2,1,8]=>[8,1,2,3,4,6,7,5]=>[[1,3,4,5,6,7],[2],[8]]=>20 [6,5,7,4,3,2,1,8]=>[6,5,7,4,3,2,1,8]=>[8,1,2,3,4,7,5,6]=>[[1,3,4,5,6,8],[2],[7]]=>19 [5,6,7,4,3,2,1,8]=>[5,6,7,4,3,2,1,8]=>[8,1,2,3,4,7,6,5]=>[[1,3,4,5,6],[2],[7],[8]]=>18 [7,6,4,5,3,2,1,8]=>[4,7,6,5,3,2,1,8]=>[8,1,2,3,5,6,7,4]=>[[1,3,4,5,6,7],[2],[8]]=>20 [6,7,4,5,3,2,1,8]=>[6,4,7,5,3,2,1,8]=>[8,1,2,3,5,7,4,6]=>[[1,3,4,5,6],[2,8],[7]]=>19 [7,5,4,6,3,2,1,8]=>[5,4,7,6,3,2,1,8]=>[8,1,2,3,6,7,4,5]=>[[1,3,4,5,6],[2,8],[7]]=>19 [7,4,5,6,3,2,1,8]=>[4,5,7,6,3,2,1,8]=>[8,1,2,3,6,7,5,4]=>[[1,3,4,5,6],[2],[7],[8]]=>18 [6,5,4,7,3,2,1,8]=>[6,5,4,7,3,2,1,8]=>[8,1,2,3,7,4,5,6]=>[[1,3,4,5,7,8],[2],[6]]=>18 [6,4,5,7,3,2,1,8]=>[4,6,5,7,3,2,1,8]=>[8,1,2,3,7,5,6,4]=>[[1,3,4,5,7],[2],[6],[8]]=>17 [4,5,6,7,3,2,1,8]=>[4,5,6,7,3,2,1,8]=>[8,1,2,3,7,6,5,4]=>[[1,3,4,5],[2],[6],[7],[8]]=>15 [7,6,5,3,4,2,1,8]=>[3,7,6,5,4,2,1,8]=>[8,1,2,4,5,6,7,3]=>[[1,3,4,5,6,7],[2],[8]]=>20 [7,5,6,3,4,2,1,8]=>[5,3,7,6,4,2,1,8]=>[8,1,2,4,6,7,3,5]=>[[1,3,4,5,6],[2,8],[7]]=>19 [6,5,7,3,4,2,1,8]=>[6,5,3,7,4,2,1,8]=>[8,1,2,4,7,3,5,6]=>[[1,3,4,5,8],[2,7],[6]]=>18 [7,6,4,3,5,2,1,8]=>[4,3,7,6,5,2,1,8]=>[8,1,2,5,6,7,3,4]=>[[1,3,4,5,6],[2,8],[7]]=>19 [6,7,4,3,5,2,1,8]=>[6,4,3,7,5,2,1,8]=>[8,1,2,5,7,3,4,6]=>[[1,3,4,5,8],[2,7],[6]]=>18 [7,6,3,4,5,2,1,8]=>[3,4,7,6,5,2,1,8]=>[8,1,2,5,6,7,4,3]=>[[1,3,4,5,6],[2],[7],[8]]=>18 [7,4,5,3,6,2,1,8]=>[4,5,3,7,6,2,1,8]=>[8,1,2,6,7,3,5,4]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [7,4,3,5,6,2,1,8]=>[4,3,5,7,6,2,1,8]=>[8,1,2,6,7,5,3,4]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [7,3,4,5,6,2,1,8]=>[3,4,5,7,6,2,1,8]=>[8,1,2,6,7,5,4,3]=>[[1,3,4,5],[2],[6],[7],[8]]=>15 [6,5,4,3,7,2,1,8]=>[6,5,4,3,7,2,1,8]=>[8,1,2,7,3,4,5,6]=>[[1,3,4,6,7,8],[2],[5]]=>17 [5,6,4,3,7,2,1,8]=>[5,6,4,3,7,2,1,8]=>[8,1,2,7,3,4,6,5]=>[[1,3,4,6,7],[2],[5],[8]]=>16 [6,4,5,3,7,2,1,8]=>[4,6,5,3,7,2,1,8]=>[8,1,2,7,3,5,6,4]=>[[1,3,4,6,7],[2],[5],[8]]=>16 [5,4,6,3,7,2,1,8]=>[5,4,6,3,7,2,1,8]=>[8,1,2,7,3,6,4,5]=>[[1,3,4,6,8],[2],[5],[7]]=>15 [4,5,6,3,7,2,1,8]=>[4,5,6,3,7,2,1,8]=>[8,1,2,7,3,6,5,4]=>[[1,3,4,6],[2],[5],[7],[8]]=>14 [6,5,3,4,7,2,1,8]=>[3,6,5,4,7,2,1,8]=>[8,1,2,7,4,5,6,3]=>[[1,3,4,6,7],[2],[5],[8]]=>16 [6,4,3,5,7,2,1,8]=>[4,3,6,5,7,2,1,8]=>[8,1,2,7,5,6,3,4]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [5,4,3,6,7,2,1,8]=>[5,4,3,6,7,2,1,8]=>[8,1,2,7,6,3,4,5]=>[[1,3,4,7,8],[2],[5],[6]]=>14 [4,5,3,6,7,2,1,8]=>[4,5,3,6,7,2,1,8]=>[8,1,2,7,6,3,5,4]=>[[1,3,4,7],[2],[5],[6],[8]]=>13 [3,4,5,6,7,2,1,8]=>[3,4,5,6,7,2,1,8]=>[8,1,2,7,6,5,4,3]=>[[1,3,4],[2],[5],[6],[7],[8]]=>11 [7,6,5,4,2,3,1,8]=>[2,7,6,5,4,3,1,8]=>[8,1,3,4,5,6,7,2]=>[[1,3,4,5,6,7],[2],[8]]=>20 [7,5,6,4,2,3,1,8]=>[5,2,7,6,4,3,1,8]=>[8,1,3,4,6,7,2,5]=>[[1,3,4,5,6],[2,8],[7]]=>19 [5,6,7,4,2,3,1,8]=>[5,6,2,7,4,3,1,8]=>[8,1,3,4,7,2,6,5]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [7,6,4,5,2,3,1,8]=>[4,2,7,6,5,3,1,8]=>[8,1,3,5,6,7,2,4]=>[[1,3,4,5,6],[2,8],[7]]=>19 [6,7,4,5,2,3,1,8]=>[6,4,2,7,5,3,1,8]=>[8,1,3,5,7,2,4,6]=>[[1,3,4,5],[2,7,8],[6]]=>18 [7,5,4,6,2,3,1,8]=>[5,4,2,7,6,3,1,8]=>[8,1,3,6,7,2,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>18 [6,5,4,7,2,3,1,8]=>[6,5,4,2,7,3,1,8]=>[8,1,3,7,2,4,5,6]=>[[1,3,4,7,8],[2,6],[5]]=>17 [5,6,4,7,2,3,1,8]=>[5,6,4,2,7,3,1,8]=>[8,1,3,7,2,4,6,5]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [6,4,5,7,2,3,1,8]=>[4,6,5,2,7,3,1,8]=>[8,1,3,7,2,5,6,4]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [5,4,6,7,2,3,1,8]=>[5,4,6,2,7,3,1,8]=>[8,1,3,7,2,6,4,5]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [4,5,6,7,2,3,1,8]=>[4,5,6,2,7,3,1,8]=>[8,1,3,7,2,6,5,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [7,6,5,3,2,4,1,8]=>[3,2,7,6,5,4,1,8]=>[8,1,4,5,6,7,2,3]=>[[1,3,4,5,6],[2,8],[7]]=>19 [6,5,7,3,2,4,1,8]=>[6,5,3,2,7,4,1,8]=>[8,1,4,7,2,3,5,6]=>[[1,3,4,7,8],[2,6],[5]]=>17 [5,6,7,3,2,4,1,8]=>[5,6,3,2,7,4,1,8]=>[8,1,4,7,2,3,6,5]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [7,6,5,2,3,4,1,8]=>[2,3,7,6,5,4,1,8]=>[8,1,4,5,6,7,3,2]=>[[1,3,4,5,6],[2],[7],[8]]=>18 [6,7,5,2,3,4,1,8]=>[2,6,3,7,5,4,1,8]=>[8,1,4,5,7,3,6,2]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [7,5,6,2,3,4,1,8]=>[2,5,3,7,6,4,1,8]=>[8,1,4,6,7,3,5,2]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [6,5,7,2,3,4,1,8]=>[2,6,5,3,7,4,1,8]=>[8,1,4,7,3,5,6,2]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [5,6,7,2,3,4,1,8]=>[5,2,6,3,7,4,1,8]=>[8,1,4,7,3,6,2,5]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [7,6,4,3,2,5,1,8]=>[4,3,2,7,6,5,1,8]=>[8,1,5,6,7,2,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>18 [6,7,3,4,2,5,1,8]=>[3,6,4,2,7,5,1,8]=>[8,1,5,7,2,4,6,3]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [7,6,4,2,3,5,1,8]=>[2,4,3,7,6,5,1,8]=>[8,1,5,6,7,3,4,2]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [6,7,4,2,3,5,1,8]=>[2,6,4,3,7,5,1,8]=>[8,1,5,7,3,4,6,2]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [7,6,3,2,4,5,1,8]=>[3,2,4,7,6,5,1,8]=>[8,1,5,6,7,4,2,3]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [7,6,2,3,4,5,1,8]=>[2,3,4,7,6,5,1,8]=>[8,1,5,6,7,4,3,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>15 [6,7,2,3,4,5,1,8]=>[2,3,6,4,7,5,1,8]=>[8,1,5,7,4,6,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [7,5,4,3,2,6,1,8]=>[5,4,3,2,7,6,1,8]=>[8,1,6,7,2,3,4,5]=>[[1,3,4,7,8],[2,6],[5]]=>17 [7,4,5,3,2,6,1,8]=>[4,5,3,2,7,6,1,8]=>[8,1,6,7,2,3,5,4]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [7,5,3,4,2,6,1,8]=>[3,5,4,2,7,6,1,8]=>[8,1,6,7,2,4,5,3]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [7,4,3,5,2,6,1,8]=>[4,3,5,2,7,6,1,8]=>[8,1,6,7,2,5,3,4]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [7,3,4,5,2,6,1,8]=>[3,4,5,2,7,6,1,8]=>[8,1,6,7,2,5,4,3]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [7,5,3,2,4,6,1,8]=>[3,2,5,4,7,6,1,8]=>[8,1,6,7,4,5,2,3]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [7,5,2,3,4,6,1,8]=>[2,3,5,4,7,6,1,8]=>[8,1,6,7,4,5,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [7,4,3,2,5,6,1,8]=>[4,3,2,5,7,6,1,8]=>[8,1,6,7,5,2,3,4]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [7,4,2,3,5,6,1,8]=>[2,4,3,5,7,6,1,8]=>[8,1,6,7,5,3,4,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [7,3,2,4,5,6,1,8]=>[3,2,4,5,7,6,1,8]=>[8,1,6,7,5,4,2,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [7,2,3,4,5,6,1,8]=>[2,3,4,5,7,6,1,8]=>[8,1,6,7,5,4,3,2]=>[[1,3,4],[2],[5],[6],[7],[8]]=>11 [6,5,4,3,2,7,1,8]=>[6,5,4,3,2,7,1,8]=>[8,1,7,2,3,4,5,6]=>[[1,3,5,6,7,8],[2],[4]]=>16 [5,4,6,3,2,7,1,8]=>[5,4,6,3,2,7,1,8]=>[8,1,7,2,3,6,4,5]=>[[1,3,5,6,8],[2],[4],[7]]=>14 [5,6,3,4,2,7,1,8]=>[5,3,6,4,2,7,1,8]=>[8,1,7,2,4,6,3,5]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [6,4,3,5,2,7,1,8]=>[4,3,6,5,2,7,1,8]=>[8,1,7,2,5,6,3,4]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [6,3,4,5,2,7,1,8]=>[3,4,6,5,2,7,1,8]=>[8,1,7,2,5,6,4,3]=>[[1,3,5,6],[2],[4],[7],[8]]=>13 [5,4,3,6,2,7,1,8]=>[5,4,3,6,2,7,1,8]=>[8,1,7,2,6,3,4,5]=>[[1,3,5,7,8],[2],[4],[6]]=>13 [4,5,3,6,2,7,1,8]=>[4,5,3,6,2,7,1,8]=>[8,1,7,2,6,3,5,4]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [5,3,4,6,2,7,1,8]=>[3,5,4,6,2,7,1,8]=>[8,1,7,2,6,4,5,3]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [3,4,5,6,2,7,1,8]=>[3,4,5,6,2,7,1,8]=>[8,1,7,2,6,5,4,3]=>[[1,3,5],[2],[4],[6],[7],[8]]=>10 [6,5,4,2,3,7,1,8]=>[2,6,5,4,3,7,1,8]=>[8,1,7,3,4,5,6,2]=>[[1,3,5,6,7],[2],[4],[8]]=>15 [6,4,5,2,3,7,1,8]=>[4,2,6,5,3,7,1,8]=>[8,1,7,3,5,6,2,4]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [5,4,6,2,3,7,1,8]=>[5,4,2,6,3,7,1,8]=>[8,1,7,3,6,2,4,5]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [4,5,6,2,3,7,1,8]=>[4,5,2,6,3,7,1,8]=>[8,1,7,3,6,2,5,4]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [6,5,3,2,4,7,1,8]=>[3,2,6,5,4,7,1,8]=>[8,1,7,4,5,6,2,3]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [5,6,3,2,4,7,1,8]=>[5,3,2,6,4,7,1,8]=>[8,1,7,4,6,2,3,5]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [5,6,2,3,4,7,1,8]=>[2,5,3,6,4,7,1,8]=>[8,1,7,4,6,3,5,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [6,4,3,2,5,7,1,8]=>[4,3,2,6,5,7,1,8]=>[8,1,7,5,6,2,3,4]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [6,3,4,2,5,7,1,8]=>[3,4,2,6,5,7,1,8]=>[8,1,7,5,6,2,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [6,4,2,3,5,7,1,8]=>[2,4,3,6,5,7,1,8]=>[8,1,7,5,6,3,4,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [6,3,2,4,5,7,1,8]=>[3,2,4,6,5,7,1,8]=>[8,1,7,5,6,4,2,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [6,2,3,4,5,7,1,8]=>[2,3,4,6,5,7,1,8]=>[8,1,7,5,6,4,3,2]=>[[1,3,5],[2],[4],[6],[7],[8]]=>10 [5,4,3,2,6,7,1,8]=>[5,4,3,2,6,7,1,8]=>[8,1,7,6,2,3,4,5]=>[[1,3,6,7,8],[2],[4],[5]]=>12 [5,3,4,2,6,7,1,8]=>[3,5,4,2,6,7,1,8]=>[8,1,7,6,2,4,5,3]=>[[1,3,6,7],[2],[4],[5],[8]]=>11 [3,4,5,2,6,7,1,8]=>[3,4,5,2,6,7,1,8]=>[8,1,7,6,2,5,4,3]=>[[1,3,6],[2],[4],[5],[7],[8]]=>9 [5,4,2,3,6,7,1,8]=>[2,5,4,3,6,7,1,8]=>[8,1,7,6,3,4,5,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>11 [5,3,2,4,6,7,1,8]=>[3,2,5,4,6,7,1,8]=>[8,1,7,6,4,5,2,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [5,2,3,4,6,7,1,8]=>[2,3,5,4,6,7,1,8]=>[8,1,7,6,4,5,3,2]=>[[1,3,6],[2],[4],[5],[7],[8]]=>9 [4,3,2,5,6,7,1,8]=>[4,3,2,5,6,7,1,8]=>[8,1,7,6,5,2,3,4]=>[[1,3,7,8],[2],[4],[5],[6]]=>9 [3,4,2,5,6,7,1,8]=>[3,4,2,5,6,7,1,8]=>[8,1,7,6,5,2,4,3]=>[[1,3,7],[2],[4],[5],[6],[8]]=>8 [4,2,3,5,6,7,1,8]=>[2,4,3,5,6,7,1,8]=>[8,1,7,6,5,3,4,2]=>[[1,3,7],[2],[4],[5],[6],[8]]=>8 [3,2,4,5,6,7,1,8]=>[3,2,4,5,6,7,1,8]=>[8,1,7,6,5,4,2,3]=>[[1,3,8],[2],[4],[5],[6],[7]]=>7 [2,3,4,5,6,7,1,8]=>[2,3,4,5,6,7,1,8]=>[8,1,7,6,5,4,3,2]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>6 [7,6,5,4,3,1,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[1,3,4,5,6,7],[2],[8]]=>20 [6,7,5,4,3,1,2,8]=>[6,1,7,5,4,3,2,8]=>[8,2,3,4,5,7,1,6]=>[[1,3,4,5,6],[2,8],[7]]=>19 [7,5,6,4,3,1,2,8]=>[5,1,7,6,4,3,2,8]=>[8,2,3,4,6,7,1,5]=>[[1,3,4,5,6],[2,8],[7]]=>19 [6,5,7,4,3,1,2,8]=>[6,5,1,7,4,3,2,8]=>[8,2,3,4,7,1,5,6]=>[[1,3,4,5,8],[2,7],[6]]=>18 [7,6,4,5,3,1,2,8]=>[4,1,7,6,5,3,2,8]=>[8,2,3,5,6,7,1,4]=>[[1,3,4,5,6],[2,8],[7]]=>19 [7,5,4,6,3,1,2,8]=>[5,4,1,7,6,3,2,8]=>[8,2,3,6,7,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>18 [7,4,5,6,3,1,2,8]=>[4,5,1,7,6,3,2,8]=>[8,2,3,6,7,1,5,4]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [4,5,6,7,3,1,2,8]=>[4,5,6,1,7,3,2,8]=>[8,2,3,7,1,6,5,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [7,5,6,3,4,1,2,8]=>[5,3,1,7,6,4,2,8]=>[8,2,4,6,7,1,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>18 [6,5,7,3,4,1,2,8]=>[6,5,3,1,7,4,2,8]=>[8,2,4,7,1,3,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>17 [7,6,4,3,5,1,2,8]=>[4,3,1,7,6,5,2,8]=>[8,2,5,6,7,1,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>18 [6,7,4,3,5,1,2,8]=>[6,4,3,1,7,5,2,8]=>[8,2,5,7,1,3,4,6]=>[[1,3,4,8],[2,6,7],[5]]=>17 [6,7,3,4,5,1,2,8]=>[3,6,4,1,7,5,2,8]=>[8,2,5,7,1,4,6,3]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [7,5,4,3,6,1,2,8]=>[5,4,3,1,7,6,2,8]=>[8,2,6,7,1,3,4,5]=>[[1,3,4,8],[2,6,7],[5]]=>17 [7,4,5,3,6,1,2,8]=>[4,5,3,1,7,6,2,8]=>[8,2,6,7,1,3,5,4]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [5,6,4,3,7,1,2,8]=>[5,6,4,3,1,7,2,8]=>[8,2,7,1,3,4,6,5]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [5,4,6,3,7,1,2,8]=>[5,4,6,3,1,7,2,8]=>[8,2,7,1,3,6,4,5]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [6,5,3,4,7,1,2,8]=>[3,6,5,4,1,7,2,8]=>[8,2,7,1,4,5,6,3]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [5,6,3,4,7,1,2,8]=>[5,3,6,4,1,7,2,8]=>[8,2,7,1,4,6,3,5]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [4,5,3,6,7,1,2,8]=>[4,5,3,6,1,7,2,8]=>[8,2,7,1,6,3,5,4]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [3,4,5,6,7,1,2,8]=>[3,4,5,6,1,7,2,8]=>[8,2,7,1,6,5,4,3]=>[[1,3],[2,5],[4],[6],[7],[8]]=>10 [7,6,5,4,2,1,3,8]=>[2,1,7,6,5,4,3,8]=>[8,3,4,5,6,7,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>19 [5,6,7,4,2,1,3,8]=>[5,6,2,1,7,4,3,8]=>[8,3,4,7,1,2,6,5]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [7,6,4,5,2,1,3,8]=>[4,2,1,7,6,5,3,8]=>[8,3,5,6,7,1,2,4]=>[[1,3,4,5],[2,7,8],[6]]=>18 [6,7,4,5,2,1,3,8]=>[6,4,2,1,7,5,3,8]=>[8,3,5,7,1,2,4,6]=>[[1,3,4,8],[2,6,7],[5]]=>17 [6,5,4,7,2,1,3,8]=>[6,5,4,2,1,7,3,8]=>[8,3,7,1,2,4,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>16 [5,6,4,7,2,1,3,8]=>[5,6,4,2,1,7,3,8]=>[8,3,7,1,2,4,6,5]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [5,4,6,7,2,1,3,8]=>[5,4,6,2,1,7,3,8]=>[8,3,7,1,2,6,4,5]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [7,6,5,4,1,2,3,8]=>[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>18 [6,5,7,4,1,2,3,8]=>[1,6,5,2,7,4,3,8]=>[8,3,4,7,2,5,6,1]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [5,6,7,4,1,2,3,8]=>[5,1,6,2,7,4,3,8]=>[8,3,4,7,2,6,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [6,7,4,5,1,2,3,8]=>[1,6,4,2,7,5,3,8]=>[8,3,5,7,2,4,6,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [7,5,4,6,1,2,3,8]=>[1,5,4,2,7,6,3,8]=>[8,3,6,7,2,4,5,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [6,5,4,7,1,2,3,8]=>[1,6,5,4,2,7,3,8]=>[8,3,7,2,4,5,6,1]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [5,6,4,7,1,2,3,8]=>[5,1,6,4,2,7,3,8]=>[8,3,7,2,4,6,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [6,4,5,7,1,2,3,8]=>[4,1,6,5,2,7,3,8]=>[8,3,7,2,5,6,1,4]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [5,4,6,7,1,2,3,8]=>[5,4,1,6,2,7,3,8]=>[8,3,7,2,6,1,4,5]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [4,5,6,7,1,2,3,8]=>[4,5,1,6,2,7,3,8]=>[8,3,7,2,6,1,5,4]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [7,6,5,3,2,1,4,8]=>[3,2,1,7,6,5,4,8]=>[8,4,5,6,7,1,2,3]=>[[1,3,4,5],[2,7,8],[6]]=>18 [7,5,6,3,2,1,4,8]=>[5,3,2,1,7,6,4,8]=>[8,4,6,7,1,2,3,5]=>[[1,3,4,8],[2,6,7],[5]]=>17 [5,6,7,3,2,1,4,8]=>[5,6,3,2,1,7,4,8]=>[8,4,7,1,2,3,6,5]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [5,6,7,2,3,1,4,8]=>[5,2,6,3,1,7,4,8]=>[8,4,7,1,3,6,2,5]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [7,6,5,3,1,2,4,8]=>[1,3,2,7,6,5,4,8]=>[8,4,5,6,7,2,3,1]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [7,5,6,3,1,2,4,8]=>[1,5,3,2,7,6,4,8]=>[8,4,6,7,2,3,5,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [5,6,7,3,1,2,4,8]=>[5,1,6,3,2,7,4,8]=>[8,4,7,2,3,6,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [6,7,5,2,1,3,4,8]=>[2,1,6,3,7,5,4,8]=>[8,4,5,7,3,6,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [5,6,7,2,1,3,4,8]=>[5,2,1,6,3,7,4,8]=>[8,4,7,3,6,1,2,5]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [7,6,5,1,2,3,4,8]=>[1,2,3,7,6,5,4,8]=>[8,4,5,6,7,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>15 [6,7,5,1,2,3,4,8]=>[1,2,6,3,7,5,4,8]=>[8,4,5,7,3,6,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [6,5,7,1,2,3,4,8]=>[1,2,6,5,3,7,4,8]=>[8,4,7,3,5,6,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>13 [5,6,7,1,2,3,4,8]=>[1,5,2,6,3,7,4,8]=>[8,4,7,3,6,2,5,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [7,6,4,3,2,1,5,8]=>[4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>17 [6,7,4,3,2,1,5,8]=>[6,4,3,2,1,7,5,8]=>[8,5,7,1,2,3,4,6]=>[[1,3,6,7,8],[2,5],[4]]=>16 [6,7,3,4,2,1,5,8]=>[3,6,4,2,1,7,5,8]=>[8,5,7,1,2,4,6,3]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [6,7,4,2,3,1,5,8]=>[2,6,4,3,1,7,5,8]=>[8,5,7,1,3,4,6,2]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [7,6,3,2,4,1,5,8]=>[3,2,4,1,7,6,5,8]=>[8,5,6,7,1,4,2,3]=>[[1,3,4],[2,6,8],[5],[7]]=>15 [7,6,2,3,4,1,5,8]=>[2,3,4,1,7,6,5,8]=>[8,5,6,7,1,4,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [6,7,2,3,4,1,5,8]=>[2,3,6,4,1,7,5,8]=>[8,5,7,1,4,6,3,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>13 [7,6,4,3,1,2,5,8]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [7,6,4,2,1,3,5,8]=>[2,1,4,3,7,6,5,8]=>[8,5,6,7,3,4,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [7,6,4,1,2,3,5,8]=>[1,2,4,3,7,6,5,8]=>[8,5,6,7,3,4,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [7,6,3,2,1,4,5,8]=>[3,2,1,4,7,6,5,8]=>[8,5,6,7,4,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [7,6,2,3,1,4,5,8]=>[2,3,1,4,7,6,5,8]=>[8,5,6,7,4,1,3,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [6,7,2,3,1,4,5,8]=>[2,3,1,6,4,7,5,8]=>[8,5,7,4,6,1,3,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [7,6,3,1,2,4,5,8]=>[1,3,2,4,7,6,5,8]=>[8,5,6,7,4,2,3,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [6,7,3,1,2,4,5,8]=>[1,3,2,6,4,7,5,8]=>[8,5,7,4,6,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [7,6,1,2,3,4,5,8]=>[1,2,3,4,7,6,5,8]=>[8,5,6,7,4,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>11 [6,7,1,2,3,4,5,8]=>[1,2,3,6,4,7,5,8]=>[8,5,7,4,6,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>10 [7,5,4,3,2,1,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[[1,3,6,7,8],[2,5],[4]]=>16 [7,4,3,5,2,1,6,8]=>[4,3,5,2,1,7,6,8]=>[8,6,7,1,2,5,3,4]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [7,5,3,2,4,1,6,8]=>[3,2,5,4,1,7,6,8]=>[8,6,7,1,4,5,2,3]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [7,5,2,3,4,1,6,8]=>[2,3,5,4,1,7,6,8]=>[8,6,7,1,4,5,3,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>13 [7,4,3,2,5,1,6,8]=>[4,3,2,5,1,7,6,8]=>[8,6,7,1,5,2,3,4]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [7,4,2,3,5,1,6,8]=>[2,4,3,5,1,7,6,8]=>[8,6,7,1,5,3,4,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [7,2,3,4,5,1,6,8]=>[2,3,4,5,1,7,6,8]=>[8,6,7,1,5,4,3,2]=>[[1,3],[2,5],[4],[6],[7],[8]]=>10 [7,5,4,3,1,2,6,8]=>[1,5,4,3,2,7,6,8]=>[8,6,7,2,3,4,5,1]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [7,4,3,5,1,2,6,8]=>[4,3,1,5,2,7,6,8]=>[8,6,7,2,5,1,3,4]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [7,3,4,5,1,2,6,8]=>[3,4,1,5,2,7,6,8]=>[8,6,7,2,5,1,4,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [7,4,5,2,1,3,6,8]=>[4,2,1,5,3,7,6,8]=>[8,6,7,3,5,1,2,4]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [7,5,4,1,2,3,6,8]=>[1,2,5,4,3,7,6,8]=>[8,6,7,3,4,5,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>13 [7,4,5,1,2,3,6,8]=>[1,4,2,5,3,7,6,8]=>[8,6,7,3,5,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [7,5,3,2,1,4,6,8]=>[3,2,1,5,4,7,6,8]=>[8,6,7,4,5,1,2,3]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [7,5,2,3,1,4,6,8]=>[2,3,1,5,4,7,6,8]=>[8,6,7,4,5,1,3,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [7,5,3,1,2,4,6,8]=>[1,3,2,5,4,7,6,8]=>[8,6,7,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [7,5,2,1,3,4,6,8]=>[2,1,3,5,4,7,6,8]=>[8,6,7,4,5,3,1,2]=>[[1,3],[2,5],[4,8],[6],[7]]=>11 [7,5,1,2,3,4,6,8]=>[1,2,3,5,4,7,6,8]=>[8,6,7,4,5,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>10 [7,4,3,2,1,5,6,8]=>[4,3,2,1,5,7,6,8]=>[8,6,7,5,1,2,3,4]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [7,3,2,4,1,5,6,8]=>[3,2,4,1,5,7,6,8]=>[8,6,7,5,1,4,2,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [7,2,3,4,1,5,6,8]=>[2,3,4,1,5,7,6,8]=>[8,6,7,5,1,4,3,2]=>[[1,3],[2,6],[4],[5],[7],[8]]=>9 [7,4,3,1,2,5,6,8]=>[1,4,3,2,5,7,6,8]=>[8,6,7,5,2,3,4,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [7,4,1,2,3,5,6,8]=>[1,2,4,3,5,7,6,8]=>[8,6,7,5,3,4,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>9 [7,2,3,1,4,5,6,8]=>[2,3,1,4,5,7,6,8]=>[8,6,7,5,4,1,3,2]=>[[1,3],[2,7],[4],[5],[6],[8]]=>8 [7,3,1,2,4,5,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>8 [7,2,1,3,4,5,6,8]=>[2,1,3,4,5,7,6,8]=>[8,6,7,5,4,3,1,2]=>[[1,3],[2,8],[4],[5],[6],[7]]=>7 [7,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,8]=>[8,6,7,5,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>6 [6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[[1,4,5,6,7,8],[2],[3]]=>15 [5,6,4,3,2,1,7,8]=>[5,6,4,3,2,1,7,8]=>[8,7,1,2,3,4,6,5]=>[[1,4,5,6,7],[2],[3],[8]]=>14 [5,4,6,3,2,1,7,8]=>[5,4,6,3,2,1,7,8]=>[8,7,1,2,3,6,4,5]=>[[1,4,5,6,8],[2],[3],[7]]=>13 [4,5,6,3,2,1,7,8]=>[4,5,6,3,2,1,7,8]=>[8,7,1,2,3,6,5,4]=>[[1,4,5,6],[2],[3],[7],[8]]=>12 [6,5,3,4,2,1,7,8]=>[3,6,5,4,2,1,7,8]=>[8,7,1,2,4,5,6,3]=>[[1,4,5,6,7],[2],[3],[8]]=>14 [5,6,3,4,2,1,7,8]=>[5,3,6,4,2,1,7,8]=>[8,7,1,2,4,6,3,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [5,4,3,6,2,1,7,8]=>[5,4,3,6,2,1,7,8]=>[8,7,1,2,6,3,4,5]=>[[1,4,5,7,8],[2],[3],[6]]=>12 [4,3,5,6,2,1,7,8]=>[4,3,5,6,2,1,7,8]=>[8,7,1,2,6,5,3,4]=>[[1,4,5,8],[2],[3],[6],[7]]=>10 [3,4,5,6,2,1,7,8]=>[3,4,5,6,2,1,7,8]=>[8,7,1,2,6,5,4,3]=>[[1,4,5],[2],[3],[6],[7],[8]]=>9 [6,5,4,2,3,1,7,8]=>[2,6,5,4,3,1,7,8]=>[8,7,1,3,4,5,6,2]=>[[1,4,5,6,7],[2],[3],[8]]=>14 [5,6,4,2,3,1,7,8]=>[5,2,6,4,3,1,7,8]=>[8,7,1,3,4,6,2,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [6,4,5,2,3,1,7,8]=>[4,2,6,5,3,1,7,8]=>[8,7,1,3,5,6,2,4]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [5,4,6,2,3,1,7,8]=>[5,4,2,6,3,1,7,8]=>[8,7,1,3,6,2,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [4,5,6,2,3,1,7,8]=>[4,5,2,6,3,1,7,8]=>[8,7,1,3,6,2,5,4]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [5,6,3,2,4,1,7,8]=>[5,3,2,6,4,1,7,8]=>[8,7,1,4,6,2,3,5]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [6,5,2,3,4,1,7,8]=>[2,3,6,5,4,1,7,8]=>[8,7,1,4,5,6,3,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>12 [6,4,3,2,5,1,7,8]=>[4,3,2,6,5,1,7,8]=>[8,7,1,5,6,2,3,4]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [6,3,4,2,5,1,7,8]=>[3,4,2,6,5,1,7,8]=>[8,7,1,5,6,2,4,3]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [6,2,3,4,5,1,7,8]=>[2,3,4,6,5,1,7,8]=>[8,7,1,5,6,4,3,2]=>[[1,4,5],[2],[3],[6],[7],[8]]=>9 [5,4,3,2,6,1,7,8]=>[5,4,3,2,6,1,7,8]=>[8,7,1,6,2,3,4,5]=>[[1,4,6,7,8],[2],[3],[5]]=>11 [4,5,3,2,6,1,7,8]=>[4,5,3,2,6,1,7,8]=>[8,7,1,6,2,3,5,4]=>[[1,4,6,7],[2],[3],[5],[8]]=>10 [5,3,4,2,6,1,7,8]=>[3,5,4,2,6,1,7,8]=>[8,7,1,6,2,4,5,3]=>[[1,4,6,7],[2],[3],[5],[8]]=>10 [4,3,5,2,6,1,7,8]=>[4,3,5,2,6,1,7,8]=>[8,7,1,6,2,5,3,4]=>[[1,4,6,8],[2],[3],[5],[7]]=>9 [3,4,5,2,6,1,7,8]=>[3,4,5,2,6,1,7,8]=>[8,7,1,6,2,5,4,3]=>[[1,4,6],[2],[3],[5],[7],[8]]=>8 [5,3,2,4,6,1,7,8]=>[3,2,5,4,6,1,7,8]=>[8,7,1,6,4,5,2,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [5,2,3,4,6,1,7,8]=>[2,3,5,4,6,1,7,8]=>[8,7,1,6,4,5,3,2]=>[[1,4,6],[2],[3],[5],[7],[8]]=>8 [4,3,2,5,6,1,7,8]=>[4,3,2,5,6,1,7,8]=>[8,7,1,6,5,2,3,4]=>[[1,4,7,8],[2],[3],[5],[6]]=>8 [3,4,2,5,6,1,7,8]=>[3,4,2,5,6,1,7,8]=>[8,7,1,6,5,2,4,3]=>[[1,4,7],[2],[3],[5],[6],[8]]=>7 [2,3,4,5,6,1,7,8]=>[2,3,4,5,6,1,7,8]=>[8,7,1,6,5,4,3,2]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>5 [6,5,4,3,1,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[[1,4,5,6,7],[2],[3],[8]]=>14 [5,6,4,3,1,2,7,8]=>[5,1,6,4,3,2,7,8]=>[8,7,2,3,4,6,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [5,4,6,3,1,2,7,8]=>[5,4,1,6,3,2,7,8]=>[8,7,2,3,6,1,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [4,5,6,3,1,2,7,8]=>[4,5,1,6,3,2,7,8]=>[8,7,2,3,6,1,5,4]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [5,6,3,4,1,2,7,8]=>[5,3,1,6,4,2,7,8]=>[8,7,2,4,6,1,3,5]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [6,4,3,5,1,2,7,8]=>[4,3,1,6,5,2,7,8]=>[8,7,2,5,6,1,3,4]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [6,3,4,5,1,2,7,8]=>[3,4,1,6,5,2,7,8]=>[8,7,2,5,6,1,4,3]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [5,4,3,6,1,2,7,8]=>[5,4,3,1,6,2,7,8]=>[8,7,2,6,1,3,4,5]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [5,3,4,6,1,2,7,8]=>[3,5,4,1,6,2,7,8]=>[8,7,2,6,1,4,5,3]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [4,3,5,6,1,2,7,8]=>[4,3,5,1,6,2,7,8]=>[8,7,2,6,1,5,3,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [3,4,5,6,1,2,7,8]=>[3,4,5,1,6,2,7,8]=>[8,7,2,6,1,5,4,3]=>[[1,4],[2,6],[3],[5],[7],[8]]=>8 [6,5,4,2,1,3,7,8]=>[2,1,6,5,4,3,7,8]=>[8,7,3,4,5,6,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [5,6,4,2,1,3,7,8]=>[5,2,1,6,4,3,7,8]=>[8,7,3,4,6,1,2,5]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [5,4,6,2,1,3,7,8]=>[5,4,2,1,6,3,7,8]=>[8,7,3,6,1,2,4,5]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [4,5,6,2,1,3,7,8]=>[4,5,2,1,6,3,7,8]=>[8,7,3,6,1,2,5,4]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [6,5,4,1,2,3,7,8]=>[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>12 [5,6,4,1,2,3,7,8]=>[1,5,2,6,4,3,7,8]=>[8,7,3,4,6,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [6,4,5,1,2,3,7,8]=>[1,4,2,6,5,3,7,8]=>[8,7,3,5,6,2,4,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [4,5,6,1,2,3,7,8]=>[4,1,5,2,6,3,7,8]=>[8,7,3,6,2,5,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>9 [6,5,3,2,1,4,7,8]=>[3,2,1,6,5,4,7,8]=>[8,7,4,5,6,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [5,6,3,2,1,4,7,8]=>[5,3,2,1,6,4,7,8]=>[8,7,4,6,1,2,3,5]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [6,5,2,3,1,4,7,8]=>[2,3,1,6,5,4,7,8]=>[8,7,4,5,6,1,3,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [6,5,3,1,2,4,7,8]=>[1,3,2,6,5,4,7,8]=>[8,7,4,5,6,2,3,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [5,6,2,1,3,4,7,8]=>[2,1,5,3,6,4,7,8]=>[8,7,4,6,3,5,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>9 [6,5,1,2,3,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,4,5,6,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>9 [5,6,1,2,3,4,7,8]=>[1,2,5,3,6,4,7,8]=>[8,7,4,6,3,5,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>8 [6,4,3,2,1,5,7,8]=>[4,3,2,1,6,5,7,8]=>[8,7,5,6,1,2,3,4]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [6,3,4,2,1,5,7,8]=>[3,4,2,1,6,5,7,8]=>[8,7,5,6,1,2,4,3]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [6,4,2,3,1,5,7,8]=>[2,4,3,1,6,5,7,8]=>[8,7,5,6,1,3,4,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [6,3,2,4,1,5,7,8]=>[3,2,4,1,6,5,7,8]=>[8,7,5,6,1,4,2,3]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [6,2,3,4,1,5,7,8]=>[2,3,4,1,6,5,7,8]=>[8,7,5,6,1,4,3,2]=>[[1,4],[2,6],[3],[5],[7],[8]]=>8 [6,4,3,1,2,5,7,8]=>[1,4,3,2,6,5,7,8]=>[8,7,5,6,2,3,4,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [6,3,4,1,2,5,7,8]=>[3,1,4,2,6,5,7,8]=>[8,7,5,6,2,4,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>9 [6,4,2,1,3,5,7,8]=>[2,1,4,3,6,5,7,8]=>[8,7,5,6,3,4,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>9 [6,4,1,2,3,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>8 [6,2,3,1,4,5,7,8]=>[2,3,1,4,6,5,7,8]=>[8,7,5,6,4,1,3,2]=>[[1,4],[2,7],[3],[5],[6],[8]]=>7 [6,3,1,2,4,5,7,8]=>[1,3,2,4,6,5,7,8]=>[8,7,5,6,4,2,3,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>7 [6,2,1,3,4,5,7,8]=>[2,1,3,4,6,5,7,8]=>[8,7,5,6,4,3,1,2]=>[[1,4],[2,8],[3],[5],[6],[7]]=>6 [6,1,2,3,4,5,7,8]=>[1,2,3,4,6,5,7,8]=>[8,7,5,6,4,3,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>5 [5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[[1,5,6,7,8],[2],[3],[4]]=>10 [4,5,3,2,1,6,7,8]=>[4,5,3,2,1,6,7,8]=>[8,7,6,1,2,3,5,4]=>[[1,5,6,7],[2],[3],[4],[8]]=>9 [5,3,4,2,1,6,7,8]=>[3,5,4,2,1,6,7,8]=>[8,7,6,1,2,4,5,3]=>[[1,5,6,7],[2],[3],[4],[8]]=>9 [4,3,5,2,1,6,7,8]=>[4,3,5,2,1,6,7,8]=>[8,7,6,1,2,5,3,4]=>[[1,5,6,8],[2],[3],[4],[7]]=>8 [3,4,5,2,1,6,7,8]=>[3,4,5,2,1,6,7,8]=>[8,7,6,1,2,5,4,3]=>[[1,5,6],[2],[3],[4],[7],[8]]=>7 [5,4,2,3,1,6,7,8]=>[2,5,4,3,1,6,7,8]=>[8,7,6,1,3,4,5,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>9 [4,5,2,3,1,6,7,8]=>[4,2,5,3,1,6,7,8]=>[8,7,6,1,3,5,2,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [5,3,2,4,1,6,7,8]=>[3,2,5,4,1,6,7,8]=>[8,7,6,1,4,5,2,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [5,2,3,4,1,6,7,8]=>[2,3,5,4,1,6,7,8]=>[8,7,6,1,4,5,3,2]=>[[1,5,6],[2],[3],[4],[7],[8]]=>7 [4,3,2,5,1,6,7,8]=>[4,3,2,5,1,6,7,8]=>[8,7,6,1,5,2,3,4]=>[[1,5,7,8],[2],[3],[4],[6]]=>7 [3,4,2,5,1,6,7,8]=>[3,4,2,5,1,6,7,8]=>[8,7,6,1,5,2,4,3]=>[[1,5,7],[2],[3],[4],[6],[8]]=>6 [4,2,3,5,1,6,7,8]=>[2,4,3,5,1,6,7,8]=>[8,7,6,1,5,3,4,2]=>[[1,5,7],[2],[3],[4],[6],[8]]=>6 [3,2,4,5,1,6,7,8]=>[3,2,4,5,1,6,7,8]=>[8,7,6,1,5,4,2,3]=>[[1,5,8],[2],[3],[4],[6],[7]]=>5 [2,3,4,5,1,6,7,8]=>[2,3,4,5,1,6,7,8]=>[8,7,6,1,5,4,3,2]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>4 [5,4,3,1,2,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,7,6,2,3,4,5,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>9 [4,3,5,1,2,6,7,8]=>[4,3,1,5,2,6,7,8]=>[8,7,6,2,5,1,3,4]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [3,4,5,1,2,6,7,8]=>[3,4,1,5,2,6,7,8]=>[8,7,6,2,5,1,4,3]=>[[1,5],[2,7],[3],[4],[6],[8]]=>6 [5,4,2,1,3,6,7,8]=>[2,1,5,4,3,6,7,8]=>[8,7,6,3,4,5,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [4,5,2,1,3,6,7,8]=>[4,2,1,5,3,6,7,8]=>[8,7,6,3,5,1,2,4]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [5,4,1,2,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[8,7,6,3,4,5,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>7 [4,5,1,2,3,6,7,8]=>[1,4,2,5,3,6,7,8]=>[8,7,6,3,5,2,4,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>6 [5,3,2,1,4,6,7,8]=>[3,2,1,5,4,6,7,8]=>[8,7,6,4,5,1,2,3]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [5,2,3,1,4,6,7,8]=>[2,3,1,5,4,6,7,8]=>[8,7,6,4,5,1,3,2]=>[[1,5],[2,7],[3],[4],[6],[8]]=>6 [5,3,1,2,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[8,7,6,4,5,2,3,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>6 [5,2,1,3,4,6,7,8]=>[2,1,3,5,4,6,7,8]=>[8,7,6,4,5,3,1,2]=>[[1,5],[2,8],[3],[4],[6],[7]]=>5 [5,1,2,3,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>4 [4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [3,4,2,1,5,6,7,8]=>[3,4,2,1,5,6,7,8]=>[8,7,6,5,1,2,4,3]=>[[1,6,7],[2],[3],[4],[5],[8]]=>5 [4,2,3,1,5,6,7,8]=>[2,4,3,1,5,6,7,8]=>[8,7,6,5,1,3,4,2]=>[[1,6,7],[2],[3],[4],[5],[8]]=>5 [3,2,4,1,5,6,7,8]=>[3,2,4,1,5,6,7,8]=>[8,7,6,5,1,4,2,3]=>[[1,6,8],[2],[3],[4],[5],[7]]=>4 [2,3,4,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>[8,7,6,5,1,4,3,2]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>3 [4,3,1,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,7,6,5,2,3,4,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>5 [3,4,1,2,5,6,7,8]=>[3,1,4,2,5,6,7,8]=>[8,7,6,5,2,4,1,3]=>[[1,6],[2,8],[3],[4],[5],[7]]=>4 [4,2,1,3,5,6,7,8]=>[2,1,4,3,5,6,7,8]=>[8,7,6,5,3,4,1,2]=>[[1,6],[2,8],[3],[4],[5],[7]]=>4 [4,1,2,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,6,5,3,4,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>3 [3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [2,3,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>[8,7,6,5,4,1,3,2]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>2 [3,1,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>2 [2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1 [1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>0 [6,8,7,5,4,3,2,1]=>[8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8]=>[[1,2,3,4,5,6,8],[7]]=>26 [5,8,7,6,4,3,2,1]=>[8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8]=>[[1,2,3,4,5,7,8],[6]]=>25 [5,7,8,6,4,3,2,1]=>[7,8,5,6,4,3,2,1]=>[1,2,3,4,6,5,8,7]=>[[1,2,3,4,5,7],[6,8]]=>24 [6,5,8,7,4,3,2,1]=>[6,8,5,7,4,3,2,1]=>[1,2,3,4,7,5,8,6]=>[[1,2,3,4,5,7],[6,8]]=>24 [5,6,8,7,4,3,2,1]=>[8,5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>23 [5,7,6,8,4,3,2,1]=>[7,5,6,8,4,3,2,1]=>[1,2,3,4,8,6,5,7]=>[[1,2,3,4,5,8],[6],[7]]=>23 [4,8,7,6,5,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[[1,2,3,4,6,7,8],[5]]=>24 [4,7,8,6,5,3,2,1]=>[7,8,6,4,5,3,2,1]=>[1,2,3,5,4,6,8,7]=>[[1,2,3,4,6,7],[5,8]]=>23 [4,6,8,7,5,3,2,1]=>[8,6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>22 [4,7,6,8,5,3,2,1]=>[7,6,8,4,5,3,2,1]=>[1,2,3,5,4,8,6,7]=>[[1,2,3,4,6,8],[5,7]]=>22 [4,6,7,8,5,3,2,1]=>[6,7,8,4,5,3,2,1]=>[1,2,3,5,4,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>21 [5,4,8,7,6,3,2,1]=>[8,5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5,8]=>[[1,2,3,4,6,8],[5,7]]=>22 [5,4,7,8,6,3,2,1]=>[5,7,8,4,6,3,2,1]=>[1,2,3,6,4,8,7,5]=>[[1,2,3,4,6],[5,7],[8]]=>21 [4,5,8,7,6,3,2,1]=>[8,7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>21 [4,5,7,8,6,3,2,1]=>[7,8,4,5,6,3,2,1]=>[1,2,3,6,5,4,8,7]=>[[1,2,3,4,7],[5,8],[6]]=>20 [6,5,4,8,7,3,2,1]=>[6,5,8,4,7,3,2,1]=>[1,2,3,7,4,8,5,6]=>[[1,2,3,4,6,8],[5,7]]=>22 [5,6,4,8,7,3,2,1]=>[5,6,8,4,7,3,2,1]=>[1,2,3,7,4,8,6,5]=>[[1,2,3,4,6],[5,7],[8]]=>21 [4,6,5,8,7,3,2,1]=>[6,8,4,5,7,3,2,1]=>[1,2,3,7,5,4,8,6]=>[[1,2,3,4,7],[5,8],[6]]=>20 [5,4,6,8,7,3,2,1]=>[5,8,4,6,7,3,2,1]=>[1,2,3,7,6,4,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>20 [4,5,6,8,7,3,2,1]=>[8,4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4,8]=>[[1,2,3,4,8],[5],[6],[7]]=>19 [5,7,6,4,8,3,2,1]=>[7,5,6,4,8,3,2,1]=>[1,2,3,8,4,6,5,7]=>[[1,2,3,4,6,8],[5],[7]]=>22 [4,7,6,5,8,3,2,1]=>[7,6,4,5,8,3,2,1]=>[1,2,3,8,5,4,6,7]=>[[1,2,3,4,7,8],[5],[6]]=>21 [4,6,7,5,8,3,2,1]=>[6,7,4,5,8,3,2,1]=>[1,2,3,8,5,4,7,6]=>[[1,2,3,4,7],[5,8],[6]]=>20 [5,4,7,6,8,3,2,1]=>[5,7,4,6,8,3,2,1]=>[1,2,3,8,6,4,7,5]=>[[1,2,3,4,7],[5,8],[6]]=>20 [4,5,7,6,8,3,2,1]=>[7,4,5,6,8,3,2,1]=>[1,2,3,8,6,5,4,7]=>[[1,2,3,4,8],[5],[6],[7]]=>19 [4,6,5,7,8,3,2,1]=>[6,4,5,7,8,3,2,1]=>[1,2,3,8,7,5,4,6]=>[[1,2,3,4,8],[5],[6],[7]]=>19 [3,8,7,6,5,4,2,1]=>[8,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>23 [3,7,8,6,5,4,2,1]=>[7,8,6,5,3,4,2,1]=>[1,2,4,3,5,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>22 [3,6,8,7,5,4,2,1]=>[8,6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>21 [3,7,6,8,5,4,2,1]=>[7,6,8,5,3,4,2,1]=>[1,2,4,3,5,8,6,7]=>[[1,2,3,5,6,8],[4,7]]=>21 [3,6,7,8,5,4,2,1]=>[6,7,8,5,3,4,2,1]=>[1,2,4,3,5,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>20 [3,5,8,7,6,4,2,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>20 [3,5,7,8,6,4,2,1]=>[7,8,5,6,3,4,2,1]=>[1,2,4,3,6,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>19 [3,6,5,8,7,4,2,1]=>[6,8,5,7,3,4,2,1]=>[1,2,4,3,7,5,8,6]=>[[1,2,3,5,7],[4,6,8]]=>19 [3,7,6,5,8,4,2,1]=>[7,6,5,8,3,4,2,1]=>[1,2,4,3,8,5,6,7]=>[[1,2,3,5,7,8],[4,6]]=>20 [3,6,7,5,8,4,2,1]=>[6,7,5,8,3,4,2,1]=>[1,2,4,3,8,5,7,6]=>[[1,2,3,5,7],[4,6],[8]]=>19 [3,6,5,7,8,4,2,1]=>[6,5,7,8,3,4,2,1]=>[1,2,4,3,8,7,5,6]=>[[1,2,3,5,8],[4,6],[7]]=>18 [3,5,6,7,8,4,2,1]=>[5,6,7,8,3,4,2,1]=>[1,2,4,3,8,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [4,3,8,7,6,5,2,1]=>[8,7,4,6,3,5,2,1]=>[1,2,5,3,6,4,7,8]=>[[1,2,3,5,7,8],[4,6]]=>20 [4,3,7,8,6,5,2,1]=>[7,8,4,6,3,5,2,1]=>[1,2,5,3,6,4,8,7]=>[[1,2,3,5,7],[4,6,8]]=>19 [4,3,6,8,7,5,2,1]=>[8,4,6,7,3,5,2,1]=>[1,2,5,3,7,6,4,8]=>[[1,2,3,5,8],[4,6],[7]]=>18 [4,3,7,6,8,5,2,1]=>[7,4,6,8,3,5,2,1]=>[1,2,5,3,8,6,4,7]=>[[1,2,3,5,8],[4,6],[7]]=>18 [4,3,6,7,8,5,2,1]=>[4,6,7,8,3,5,2,1]=>[1,2,5,3,8,7,6,4]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [3,4,8,7,6,5,2,1]=>[8,7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>19 [3,4,7,8,6,5,2,1]=>[7,8,6,3,4,5,2,1]=>[1,2,5,4,3,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>18 [3,4,7,6,8,5,2,1]=>[7,6,8,3,4,5,2,1]=>[1,2,5,4,3,8,6,7]=>[[1,2,3,6,8],[4,7],[5]]=>17 [3,4,6,7,8,5,2,1]=>[6,7,8,3,4,5,2,1]=>[1,2,5,4,3,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>16 [5,4,3,8,7,6,2,1]=>[5,8,4,7,3,6,2,1]=>[1,2,6,3,7,4,8,5]=>[[1,2,3,5,7],[4,6,8]]=>19 [5,4,3,7,8,6,2,1]=>[5,4,7,8,3,6,2,1]=>[1,2,6,3,8,7,4,5]=>[[1,2,3,5,8],[4,6],[7]]=>18 [4,5,3,8,7,6,2,1]=>[8,4,5,7,3,6,2,1]=>[1,2,6,3,7,5,4,8]=>[[1,2,3,5,8],[4,6],[7]]=>18 [4,5,3,7,8,6,2,1]=>[4,5,7,8,3,6,2,1]=>[1,2,6,3,8,7,5,4]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [3,5,4,8,7,6,2,1]=>[8,5,7,3,4,6,2,1]=>[1,2,6,4,3,7,5,8]=>[[1,2,3,6,8],[4,7],[5]]=>17 [4,3,5,8,7,6,2,1]=>[8,4,7,3,5,6,2,1]=>[1,2,6,5,3,7,4,8]=>[[1,2,3,6,8],[4,7],[5]]=>17 [4,3,5,7,8,6,2,1]=>[4,7,8,3,5,6,2,1]=>[1,2,6,5,3,8,7,4]=>[[1,2,3,6],[4,7],[5,8]]=>16 [3,4,5,8,7,6,2,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>16 [6,5,4,3,8,7,2,1]=>[6,5,4,8,3,7,2,1]=>[1,2,7,3,8,4,5,6]=>[[1,2,3,5,7,8],[4,6]]=>20 [5,6,4,3,8,7,2,1]=>[5,6,4,8,3,7,2,1]=>[1,2,7,3,8,4,6,5]=>[[1,2,3,5,7],[4,6],[8]]=>19 [4,6,5,3,8,7,2,1]=>[6,4,5,8,3,7,2,1]=>[1,2,7,3,8,5,4,6]=>[[1,2,3,5,8],[4,6],[7]]=>18 [5,4,6,3,8,7,2,1]=>[5,4,6,8,3,7,2,1]=>[1,2,7,3,8,6,4,5]=>[[1,2,3,5,8],[4,6],[7]]=>18 [4,5,6,3,8,7,2,1]=>[4,5,6,8,3,7,2,1]=>[1,2,7,3,8,6,5,4]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [3,5,6,4,8,7,2,1]=>[5,6,8,3,4,7,2,1]=>[1,2,7,4,3,8,6,5]=>[[1,2,3,6],[4,7],[5,8]]=>16 [4,3,6,5,8,7,2,1]=>[4,6,8,3,5,7,2,1]=>[1,2,7,5,3,8,6,4]=>[[1,2,3,6],[4,7],[5,8]]=>16 [3,4,6,5,8,7,2,1]=>[6,8,3,4,5,7,2,1]=>[1,2,7,5,4,3,8,6]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [5,4,3,6,8,7,2,1]=>[5,4,8,3,6,7,2,1]=>[1,2,7,6,3,8,4,5]=>[[1,2,3,6,8],[4,7],[5]]=>17 [4,5,3,6,8,7,2,1]=>[4,5,8,3,6,7,2,1]=>[1,2,7,6,3,8,5,4]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [4,3,5,6,8,7,2,1]=>[4,8,3,5,6,7,2,1]=>[1,2,7,6,5,3,8,4]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [3,4,5,6,8,7,2,1]=>[8,3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>14 [5,7,6,4,3,8,2,1]=>[7,5,6,4,3,8,2,1]=>[1,2,8,3,4,6,5,7]=>[[1,2,3,5,6,8],[4],[7]]=>21 [4,7,6,5,3,8,2,1]=>[7,6,4,5,3,8,2,1]=>[1,2,8,3,5,4,6,7]=>[[1,2,3,5,7,8],[4],[6]]=>20 [4,6,7,5,3,8,2,1]=>[6,7,4,5,3,8,2,1]=>[1,2,8,3,5,4,7,6]=>[[1,2,3,5,7],[4,8],[6]]=>19 [5,4,7,6,3,8,2,1]=>[5,7,4,6,3,8,2,1]=>[1,2,8,3,6,4,7,5]=>[[1,2,3,5,7],[4,8],[6]]=>19 [4,5,7,6,3,8,2,1]=>[7,4,5,6,3,8,2,1]=>[1,2,8,3,6,5,4,7]=>[[1,2,3,5,8],[4],[6],[7]]=>18 [4,6,5,7,3,8,2,1]=>[6,4,5,7,3,8,2,1]=>[1,2,8,3,7,5,4,6]=>[[1,2,3,5,8],[4],[6],[7]]=>18 [3,7,6,5,4,8,2,1]=>[7,6,5,3,4,8,2,1]=>[1,2,8,4,3,5,6,7]=>[[1,2,3,6,7,8],[4],[5]]=>19 [3,6,7,5,4,8,2,1]=>[6,7,5,3,4,8,2,1]=>[1,2,8,4,3,5,7,6]=>[[1,2,3,6,7],[4,8],[5]]=>18 [3,5,7,6,4,8,2,1]=>[7,5,6,3,4,8,2,1]=>[1,2,8,4,3,6,5,7]=>[[1,2,3,6,8],[4,7],[5]]=>17 [3,6,5,7,4,8,2,1]=>[6,5,7,3,4,8,2,1]=>[1,2,8,4,3,7,5,6]=>[[1,2,3,6,8],[4,7],[5]]=>17 [3,5,6,7,4,8,2,1]=>[5,6,7,3,4,8,2,1]=>[1,2,8,4,3,7,6,5]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [4,3,7,6,5,8,2,1]=>[7,4,6,3,5,8,2,1]=>[1,2,8,5,3,6,4,7]=>[[1,2,3,6,8],[4,7],[5]]=>17 [4,3,6,7,5,8,2,1]=>[4,6,7,3,5,8,2,1]=>[1,2,8,5,3,7,6,4]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [3,4,7,6,5,8,2,1]=>[7,6,3,4,5,8,2,1]=>[1,2,8,5,4,3,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>16 [5,4,3,7,6,8,2,1]=>[5,4,7,3,6,8,2,1]=>[1,2,8,6,3,7,4,5]=>[[1,2,3,6,8],[4,7],[5]]=>17 [4,5,3,7,6,8,2,1]=>[4,5,7,3,6,8,2,1]=>[1,2,8,6,3,7,5,4]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [3,5,4,7,6,8,2,1]=>[5,7,3,4,6,8,2,1]=>[1,2,8,6,4,3,7,5]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [4,3,5,7,6,8,2,1]=>[4,7,3,5,6,8,2,1]=>[1,2,8,6,5,3,7,4]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [3,4,5,7,6,8,2,1]=>[7,3,4,5,6,8,2,1]=>[1,2,8,6,5,4,3,7]=>[[1,2,3,8],[4],[5],[6],[7]]=>14 [4,6,5,3,7,8,2,1]=>[6,4,5,3,7,8,2,1]=>[1,2,8,7,3,5,4,6]=>[[1,2,3,6,8],[4],[5],[7]]=>17 [3,5,6,4,7,8,2,1]=>[5,6,3,4,7,8,2,1]=>[1,2,8,7,4,3,6,5]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [4,3,6,5,7,8,2,1]=>[4,6,3,5,7,8,2,1]=>[1,2,8,7,5,3,6,4]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [3,4,6,5,7,8,2,1]=>[6,3,4,5,7,8,2,1]=>[1,2,8,7,5,4,3,6]=>[[1,2,3,8],[4],[5],[6],[7]]=>14 [3,5,4,6,7,8,2,1]=>[5,3,4,6,7,8,2,1]=>[1,2,8,7,6,4,3,5]=>[[1,2,3,8],[4],[5],[6],[7]]=>14 [2,8,7,6,5,4,3,1]=>[8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>22 [2,7,8,6,5,4,3,1]=>[7,8,6,5,4,2,3,1]=>[1,3,2,4,5,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>21 [2,6,8,7,5,4,3,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>20 [2,7,6,8,5,4,3,1]=>[7,6,8,5,4,2,3,1]=>[1,3,2,4,5,8,6,7]=>[[1,2,4,5,6,8],[3,7]]=>20 [2,6,7,8,5,4,3,1]=>[6,7,8,5,4,2,3,1]=>[1,3,2,4,5,8,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>19 [2,5,8,7,6,4,3,1]=>[8,7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7,8]=>[[1,2,4,5,7,8],[3,6]]=>19 [2,5,7,8,6,4,3,1]=>[7,8,5,6,4,2,3,1]=>[1,3,2,4,6,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>18 [2,6,5,8,7,4,3,1]=>[6,8,5,7,4,2,3,1]=>[1,3,2,4,7,5,8,6]=>[[1,2,4,5,7],[3,6,8]]=>18 [2,5,6,8,7,4,3,1]=>[8,5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>17 [2,7,6,5,8,4,3,1]=>[7,6,5,8,4,2,3,1]=>[1,3,2,4,8,5,6,7]=>[[1,2,4,5,7,8],[3,6]]=>19 [2,6,7,5,8,4,3,1]=>[6,7,5,8,4,2,3,1]=>[1,3,2,4,8,5,7,6]=>[[1,2,4,5,7],[3,6],[8]]=>18 [2,5,7,6,8,4,3,1]=>[7,5,6,8,4,2,3,1]=>[1,3,2,4,8,6,5,7]=>[[1,2,4,5,8],[3,6],[7]]=>17 [2,5,6,7,8,4,3,1]=>[5,6,7,8,4,2,3,1]=>[1,3,2,4,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [2,4,8,7,6,5,3,1]=>[8,7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>18 [2,4,6,8,7,5,3,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>16 [2,4,6,7,8,5,3,1]=>[6,7,8,4,5,2,3,1]=>[1,3,2,5,4,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>15 [2,5,4,8,7,6,3,1]=>[8,5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>16 [2,5,4,7,8,6,3,1]=>[5,7,8,4,6,2,3,1]=>[1,3,2,6,4,8,7,5]=>[[1,2,4,6],[3,5,7],[8]]=>15 [2,4,5,7,8,6,3,1]=>[7,8,4,5,6,2,3,1]=>[1,3,2,6,5,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>14 [2,6,5,4,8,7,3,1]=>[6,5,8,4,7,2,3,1]=>[1,3,2,7,4,8,5,6]=>[[1,2,4,6,8],[3,5,7]]=>16 [2,5,6,4,8,7,3,1]=>[5,6,8,4,7,2,3,1]=>[1,3,2,7,4,8,6,5]=>[[1,2,4,6],[3,5,7],[8]]=>15 [2,4,6,5,8,7,3,1]=>[6,8,4,5,7,2,3,1]=>[1,3,2,7,5,4,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>14 [2,4,5,6,8,7,3,1]=>[8,4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [2,7,6,5,4,8,3,1]=>[7,6,5,4,8,2,3,1]=>[1,3,2,8,4,5,6,7]=>[[1,2,4,6,7,8],[3,5]]=>18 [2,6,7,5,4,8,3,1]=>[6,7,5,4,8,2,3,1]=>[1,3,2,8,4,5,7,6]=>[[1,2,4,6,7],[3,5],[8]]=>17 [2,5,7,6,4,8,3,1]=>[7,5,6,4,8,2,3,1]=>[1,3,2,8,4,6,5,7]=>[[1,2,4,6,8],[3,5],[7]]=>16 [2,6,5,7,4,8,3,1]=>[6,5,7,4,8,2,3,1]=>[1,3,2,8,4,7,5,6]=>[[1,2,4,6,8],[3,5],[7]]=>16 [2,4,7,6,5,8,3,1]=>[7,6,4,5,8,2,3,1]=>[1,3,2,8,5,4,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>15 [2,4,6,7,5,8,3,1]=>[6,7,4,5,8,2,3,1]=>[1,3,2,8,5,4,7,6]=>[[1,2,4,7],[3,5,8],[6]]=>14 [2,6,5,4,7,8,3,1]=>[6,5,4,7,8,2,3,1]=>[1,3,2,8,7,4,5,6]=>[[1,2,4,7,8],[3,5],[6]]=>15 [2,5,6,4,7,8,3,1]=>[5,6,4,7,8,2,3,1]=>[1,3,2,8,7,4,6,5]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [2,4,6,5,7,8,3,1]=>[6,4,5,7,8,2,3,1]=>[1,3,2,8,7,5,4,6]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [2,5,4,6,7,8,3,1]=>[5,4,6,7,8,2,3,1]=>[1,3,2,8,7,6,4,5]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [2,4,5,6,7,8,3,1]=>[4,5,6,7,8,2,3,1]=>[1,3,2,8,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [3,2,8,7,6,5,4,1]=>[8,7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>18 [3,2,7,8,6,5,4,1]=>[7,8,6,3,5,2,4,1]=>[1,4,2,5,3,6,8,7]=>[[1,2,4,6,7],[3,5,8]]=>17 [3,2,6,8,7,5,4,1]=>[8,6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>16 [3,2,7,6,8,5,4,1]=>[7,6,8,3,5,2,4,1]=>[1,4,2,5,3,8,6,7]=>[[1,2,4,6,8],[3,5,7]]=>16 [3,2,5,7,8,6,4,1]=>[7,8,3,5,6,2,4,1]=>[1,4,2,6,5,3,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>14 [3,2,6,5,8,7,4,1]=>[6,8,3,5,7,2,4,1]=>[1,4,2,7,5,3,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>14 [3,2,7,6,5,8,4,1]=>[7,6,3,5,8,2,4,1]=>[1,4,2,8,5,3,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>15 [3,2,6,7,5,8,4,1]=>[6,7,3,5,8,2,4,1]=>[1,4,2,8,5,3,7,6]=>[[1,2,4,7],[3,5,8],[6]]=>14 [3,2,6,5,7,8,4,1]=>[6,3,5,7,8,2,4,1]=>[1,4,2,8,7,5,3,6]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [3,2,5,6,7,8,4,1]=>[3,5,6,7,8,2,4,1]=>[1,4,2,8,7,6,5,3]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [2,3,8,7,6,5,4,1]=>[8,7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>17 [2,3,6,8,7,5,4,1]=>[8,6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>15 [2,3,7,6,8,5,4,1]=>[7,6,8,5,2,3,4,1]=>[1,4,3,2,5,8,6,7]=>[[1,2,5,6,8],[3,7],[4]]=>15 [2,3,6,7,8,5,4,1]=>[6,7,8,5,2,3,4,1]=>[1,4,3,2,5,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>14 [2,3,6,5,8,7,4,1]=>[6,8,5,7,2,3,4,1]=>[1,4,3,2,7,5,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>13 [2,3,5,6,8,7,4,1]=>[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[[1,2,5,8],[3,6],[4,7]]=>12 [2,3,7,6,5,8,4,1]=>[7,6,5,8,2,3,4,1]=>[1,4,3,2,8,5,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>14 [2,3,5,6,7,8,4,1]=>[5,6,7,8,2,3,4,1]=>[1,4,3,2,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [4,3,2,8,7,6,5,1]=>[8,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,8]=>[[1,2,4,6,8],[3,5,7]]=>16 [4,3,2,7,8,6,5,1]=>[4,7,8,3,6,2,5,1]=>[1,5,2,6,3,8,7,4]=>[[1,2,4,6],[3,5,7],[8]]=>15 [4,3,2,6,8,7,5,1]=>[4,8,3,6,7,2,5,1]=>[1,5,2,7,6,3,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>14 [3,4,2,8,7,6,5,1]=>[8,7,3,4,6,2,5,1]=>[1,5,2,6,4,3,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>15 [3,4,2,7,6,8,5,1]=>[7,3,4,6,8,2,5,1]=>[1,5,2,8,6,4,3,7]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [2,4,3,8,7,6,5,1]=>[8,7,4,6,2,3,5,1]=>[1,5,3,2,6,4,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>14 [2,4,3,6,8,7,5,1]=>[8,4,6,7,2,3,5,1]=>[1,5,3,2,7,6,4,8]=>[[1,2,5,8],[3,6],[4,7]]=>12 [2,4,3,7,6,8,5,1]=>[7,4,6,8,2,3,5,1]=>[1,5,3,2,8,6,4,7]=>[[1,2,5,8],[3,6],[4,7]]=>12 [2,4,3,6,7,8,5,1]=>[4,6,7,8,2,3,5,1]=>[1,5,3,2,8,7,6,4]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [3,2,4,8,7,6,5,1]=>[8,7,3,6,2,4,5,1]=>[1,5,4,2,6,3,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>14 [3,2,4,7,8,6,5,1]=>[7,8,3,6,2,4,5,1]=>[1,5,4,2,6,3,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>13 [3,2,4,7,6,8,5,1]=>[7,3,6,8,2,4,5,1]=>[1,5,4,2,8,6,3,7]=>[[1,2,5,8],[3,6],[4,7]]=>12 [2,3,4,8,7,6,5,1]=>[8,7,6,2,3,4,5,1]=>[1,5,4,3,2,6,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>13 [2,3,4,6,8,7,5,1]=>[8,6,7,2,3,4,5,1]=>[1,5,4,3,2,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [2,3,4,6,7,8,5,1]=>[6,7,8,2,3,4,5,1]=>[1,5,4,3,2,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [5,4,3,2,8,7,6,1]=>[5,4,8,3,7,2,6,1]=>[1,6,2,7,3,8,4,5]=>[[1,2,4,6,8],[3,5,7]]=>16 [5,4,3,2,7,8,6,1]=>[5,4,3,7,8,2,6,1]=>[1,6,2,8,7,3,4,5]=>[[1,2,4,7,8],[3,5],[6]]=>15 [4,5,3,2,8,7,6,1]=>[4,5,8,3,7,2,6,1]=>[1,6,2,7,3,8,5,4]=>[[1,2,4,6],[3,5,7],[8]]=>15 [4,5,3,2,7,8,6,1]=>[4,5,3,7,8,2,6,1]=>[1,6,2,8,7,3,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [3,5,4,2,7,8,6,1]=>[5,3,4,7,8,2,6,1]=>[1,6,2,8,7,4,3,5]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [4,3,5,2,8,7,6,1]=>[4,8,3,5,7,2,6,1]=>[1,6,2,7,5,3,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>14 [3,4,5,2,7,8,6,1]=>[3,4,5,7,8,2,6,1]=>[1,6,2,8,7,5,4,3]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [2,5,4,3,8,7,6,1]=>[5,8,4,7,2,3,6,1]=>[1,6,3,2,7,4,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>13 [2,5,4,3,7,8,6,1]=>[5,4,7,8,2,3,6,1]=>[1,6,3,2,8,7,4,5]=>[[1,2,5,8],[3,6],[4,7]]=>12 [2,4,5,3,8,7,6,1]=>[8,4,5,7,2,3,6,1]=>[1,6,3,2,7,5,4,8]=>[[1,2,5,8],[3,6],[4,7]]=>12 [3,2,5,4,7,8,6,1]=>[3,5,7,8,2,4,6,1]=>[1,6,4,2,8,7,5,3]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [2,3,5,4,7,8,6,1]=>[5,7,8,2,3,4,6,1]=>[1,6,4,3,2,8,7,5]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [4,3,2,5,8,7,6,1]=>[4,8,3,7,2,5,6,1]=>[1,6,5,2,7,3,8,4]=>[[1,2,5,7],[3,6,8],[4]]=>13 [4,3,2,5,7,8,6,1]=>[4,3,7,8,2,5,6,1]=>[1,6,5,2,8,7,3,4]=>[[1,2,5,8],[3,6],[4,7]]=>12 [3,4,2,5,8,7,6,1]=>[8,3,4,7,2,5,6,1]=>[1,6,5,2,7,4,3,8]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [3,4,2,5,7,8,6,1]=>[3,4,7,8,2,5,6,1]=>[1,6,5,2,8,7,4,3]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [2,4,3,5,8,7,6,1]=>[8,4,7,2,3,5,6,1]=>[1,6,5,3,2,7,4,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [2,4,3,5,7,8,6,1]=>[4,7,8,2,3,5,6,1]=>[1,6,5,3,2,8,7,4]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [3,2,4,5,7,8,6,1]=>[3,7,8,2,4,5,6,1]=>[1,6,5,4,2,8,7,3]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [2,3,4,5,8,7,6,1]=>[8,7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>10 [2,3,4,5,7,8,6,1]=>[7,8,2,3,4,5,6,1]=>[1,6,5,4,3,2,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [6,5,4,3,2,8,7,1]=>[6,5,4,3,8,2,7,1]=>[1,7,2,8,3,4,5,6]=>[[1,2,4,6,7,8],[3,5]]=>18 [4,6,5,3,2,8,7,1]=>[6,4,5,3,8,2,7,1]=>[1,7,2,8,3,5,4,6]=>[[1,2,4,6,8],[3,5],[7]]=>16 [5,4,6,3,2,8,7,1]=>[5,4,6,3,8,2,7,1]=>[1,7,2,8,3,6,4,5]=>[[1,2,4,6,8],[3,5],[7]]=>16 [4,5,6,3,2,8,7,1]=>[4,5,6,3,8,2,7,1]=>[1,7,2,8,3,6,5,4]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [3,6,5,4,2,8,7,1]=>[6,5,3,4,8,2,7,1]=>[1,7,2,8,4,3,5,6]=>[[1,2,4,7,8],[3,5],[6]]=>15 [4,3,6,5,2,8,7,1]=>[4,6,3,5,8,2,7,1]=>[1,7,2,8,5,3,6,4]=>[[1,2,4,7],[3,5],[6,8]]=>14 [5,4,3,6,2,8,7,1]=>[5,4,3,6,8,2,7,1]=>[1,7,2,8,6,3,4,5]=>[[1,2,4,7,8],[3,5],[6]]=>15 [4,5,3,6,2,8,7,1]=>[4,5,3,6,8,2,7,1]=>[1,7,2,8,6,3,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [2,6,5,4,3,8,7,1]=>[6,5,4,8,2,3,7,1]=>[1,7,3,2,8,4,5,6]=>[[1,2,5,7,8],[3,6],[4]]=>14 [2,4,6,5,3,8,7,1]=>[6,4,5,8,2,3,7,1]=>[1,7,3,2,8,5,4,6]=>[[1,2,5,8],[3,6],[4,7]]=>12 [2,4,5,6,3,8,7,1]=>[4,5,6,8,2,3,7,1]=>[1,7,3,2,8,6,5,4]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [3,2,6,5,4,8,7,1]=>[6,3,5,8,2,4,7,1]=>[1,7,4,2,8,5,3,6]=>[[1,2,5,8],[3,6],[4,7]]=>12 [2,3,5,6,4,8,7,1]=>[5,6,8,2,3,4,7,1]=>[1,7,4,3,2,8,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [4,3,2,6,5,8,7,1]=>[4,3,6,8,2,5,7,1]=>[1,7,5,2,8,6,3,4]=>[[1,2,5,8],[3,6],[4,7]]=>12 [3,4,2,6,5,8,7,1]=>[3,4,6,8,2,5,7,1]=>[1,7,5,2,8,6,4,3]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [2,4,3,6,5,8,7,1]=>[4,6,8,2,3,5,7,1]=>[1,7,5,3,2,8,6,4]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [3,2,4,6,5,8,7,1]=>[3,6,8,2,4,5,7,1]=>[1,7,5,4,2,8,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [2,3,4,6,5,8,7,1]=>[6,8,2,3,4,5,7,1]=>[1,7,5,4,3,2,8,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [5,4,3,2,6,8,7,1]=>[5,4,3,8,2,6,7,1]=>[1,7,6,2,8,3,4,5]=>[[1,2,5,7,8],[3,6],[4]]=>14 [4,5,3,2,6,8,7,1]=>[4,5,3,8,2,6,7,1]=>[1,7,6,2,8,3,5,4]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [3,5,4,2,6,8,7,1]=>[5,3,4,8,2,6,7,1]=>[1,7,6,2,8,4,3,5]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [4,3,5,2,6,8,7,1]=>[4,3,5,8,2,6,7,1]=>[1,7,6,2,8,5,3,4]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [3,4,5,2,6,8,7,1]=>[3,4,5,8,2,6,7,1]=>[1,7,6,2,8,5,4,3]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [2,5,4,3,6,8,7,1]=>[5,4,8,2,3,6,7,1]=>[1,7,6,3,2,8,4,5]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [3,2,5,4,6,8,7,1]=>[3,5,8,2,4,6,7,1]=>[1,7,6,4,2,8,5,3]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [4,3,2,5,6,8,7,1]=>[4,3,8,2,5,6,7,1]=>[1,7,6,5,2,8,3,4]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [3,4,2,5,6,8,7,1]=>[3,4,8,2,5,6,7,1]=>[1,7,6,5,2,8,4,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [2,4,3,5,6,8,7,1]=>[4,8,2,3,5,6,7,1]=>[1,7,6,5,3,2,8,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [3,2,4,5,6,8,7,1]=>[3,8,2,4,5,6,7,1]=>[1,7,6,5,4,2,8,3]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [2,3,4,5,6,8,7,1]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>8 [5,7,6,4,3,2,8,1]=>[7,5,6,4,3,2,8,1]=>[1,8,2,3,4,6,5,7]=>[[1,2,4,5,6,8],[3],[7]]=>20 [4,7,6,5,3,2,8,1]=>[7,6,4,5,3,2,8,1]=>[1,8,2,3,5,4,6,7]=>[[1,2,4,5,7,8],[3],[6]]=>19 [5,4,7,6,3,2,8,1]=>[5,7,4,6,3,2,8,1]=>[1,8,2,3,6,4,7,5]=>[[1,2,4,5,7],[3,8],[6]]=>18 [4,5,7,6,3,2,8,1]=>[7,4,5,6,3,2,8,1]=>[1,8,2,3,6,5,4,7]=>[[1,2,4,5,8],[3],[6],[7]]=>17 [4,6,5,7,3,2,8,1]=>[6,4,5,7,3,2,8,1]=>[1,8,2,3,7,5,4,6]=>[[1,2,4,5,8],[3],[6],[7]]=>17 [3,7,6,5,4,2,8,1]=>[7,6,5,3,4,2,8,1]=>[1,8,2,4,3,5,6,7]=>[[1,2,4,6,7,8],[3],[5]]=>18 [3,5,7,6,4,2,8,1]=>[7,5,6,3,4,2,8,1]=>[1,8,2,4,3,6,5,7]=>[[1,2,4,6,8],[3,7],[5]]=>16 [3,6,5,7,4,2,8,1]=>[6,5,7,3,4,2,8,1]=>[1,8,2,4,3,7,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>16 [3,5,6,7,4,2,8,1]=>[5,6,7,3,4,2,8,1]=>[1,8,2,4,3,7,6,5]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [4,3,7,6,5,2,8,1]=>[7,4,6,3,5,2,8,1]=>[1,8,2,5,3,6,4,7]=>[[1,2,4,6,8],[3,7],[5]]=>16 [4,3,6,7,5,2,8,1]=>[4,6,7,3,5,2,8,1]=>[1,8,2,5,3,7,6,4]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [5,4,3,7,6,2,8,1]=>[5,4,7,3,6,2,8,1]=>[1,8,2,6,3,7,4,5]=>[[1,2,4,6,8],[3,7],[5]]=>16 [4,5,3,7,6,2,8,1]=>[4,5,7,3,6,2,8,1]=>[1,8,2,6,3,7,5,4]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [4,3,5,7,6,2,8,1]=>[4,7,3,5,6,2,8,1]=>[1,8,2,6,5,3,7,4]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [4,6,5,3,7,2,8,1]=>[6,4,5,3,7,2,8,1]=>[1,8,2,7,3,5,4,6]=>[[1,2,4,6,8],[3],[5],[7]]=>16 [3,6,5,4,7,2,8,1]=>[6,5,3,4,7,2,8,1]=>[1,8,2,7,4,3,5,6]=>[[1,2,4,7,8],[3],[5],[6]]=>15 [3,5,6,4,7,2,8,1]=>[5,6,3,4,7,2,8,1]=>[1,8,2,7,4,3,6,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [4,3,6,5,7,2,8,1]=>[4,6,3,5,7,2,8,1]=>[1,8,2,7,5,3,6,4]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [3,4,6,5,7,2,8,1]=>[6,3,4,5,7,2,8,1]=>[1,8,2,7,5,4,3,6]=>[[1,2,4,8],[3],[5],[6],[7]]=>13 [3,5,4,6,7,2,8,1]=>[5,3,4,6,7,2,8,1]=>[1,8,2,7,6,4,3,5]=>[[1,2,4,8],[3],[5],[6],[7]]=>13 [2,7,6,5,4,3,8,1]=>[7,6,5,4,2,3,8,1]=>[1,8,3,2,4,5,6,7]=>[[1,2,5,6,7,8],[3],[4]]=>17 [2,6,5,7,4,3,8,1]=>[6,5,7,4,2,3,8,1]=>[1,8,3,2,4,7,5,6]=>[[1,2,5,6,8],[3,7],[4]]=>15 [2,4,7,6,5,3,8,1]=>[7,6,4,5,2,3,8,1]=>[1,8,3,2,5,4,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>14 [2,4,6,7,5,3,8,1]=>[6,7,4,5,2,3,8,1]=>[1,8,3,2,5,4,7,6]=>[[1,2,5,7],[3,6,8],[4]]=>13 [2,5,4,7,6,3,8,1]=>[5,7,4,6,2,3,8,1]=>[1,8,3,2,6,4,7,5]=>[[1,2,5,7],[3,6,8],[4]]=>13 [2,4,6,5,7,3,8,1]=>[6,4,5,7,2,3,8,1]=>[1,8,3,2,7,5,4,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [2,4,5,6,7,3,8,1]=>[4,5,6,7,2,3,8,1]=>[1,8,3,2,7,6,5,4]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [3,2,7,6,5,4,8,1]=>[7,6,3,5,2,4,8,1]=>[1,8,4,2,5,3,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>14 [3,2,6,7,5,4,8,1]=>[6,7,3,5,2,4,8,1]=>[1,8,4,2,5,3,7,6]=>[[1,2,5,7],[3,6,8],[4]]=>13 [3,2,5,7,6,4,8,1]=>[7,3,5,6,2,4,8,1]=>[1,8,4,2,6,5,3,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [3,2,6,5,7,4,8,1]=>[6,3,5,7,2,4,8,1]=>[1,8,4,2,7,5,3,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [3,2,5,6,7,4,8,1]=>[3,5,6,7,2,4,8,1]=>[1,8,4,2,7,6,5,3]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [2,3,7,6,5,4,8,1]=>[7,6,5,2,3,4,8,1]=>[1,8,4,3,2,5,6,7]=>[[1,2,6,7,8],[3],[4],[5]]=>13 [2,3,6,7,5,4,8,1]=>[6,7,5,2,3,4,8,1]=>[1,8,4,3,2,5,7,6]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [2,3,5,6,7,4,8,1]=>[5,6,7,2,3,4,8,1]=>[1,8,4,3,2,7,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [4,3,2,7,6,5,8,1]=>[4,7,3,6,2,5,8,1]=>[1,8,5,2,6,3,7,4]=>[[1,2,5,7],[3,6,8],[4]]=>13 [3,4,2,6,7,5,8,1]=>[3,4,6,7,2,5,8,1]=>[1,8,5,2,7,6,4,3]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [2,4,3,6,7,5,8,1]=>[4,6,7,2,3,5,8,1]=>[1,8,5,3,2,7,6,4]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [3,2,4,7,6,5,8,1]=>[7,3,6,2,4,5,8,1]=>[1,8,5,4,2,6,3,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [3,2,4,6,7,5,8,1]=>[3,6,7,2,4,5,8,1]=>[1,8,5,4,2,7,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [2,3,4,7,6,5,8,1]=>[7,6,2,3,4,5,8,1]=>[1,8,5,4,3,2,6,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>10 [2,3,4,6,7,5,8,1]=>[6,7,2,3,4,5,8,1]=>[1,8,5,4,3,2,7,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [5,4,3,2,7,6,8,1]=>[5,4,3,7,2,6,8,1]=>[1,8,6,2,7,3,4,5]=>[[1,2,5,7,8],[3,6],[4]]=>14 [4,5,3,2,7,6,8,1]=>[4,5,3,7,2,6,8,1]=>[1,8,6,2,7,3,5,4]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [3,5,4,2,7,6,8,1]=>[5,3,4,7,2,6,8,1]=>[1,8,6,2,7,4,3,5]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [2,5,4,3,7,6,8,1]=>[5,4,7,2,3,6,8,1]=>[1,8,6,3,2,7,4,5]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [3,2,5,4,7,6,8,1]=>[3,5,7,2,4,6,8,1]=>[1,8,6,4,2,7,5,3]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [2,3,5,4,7,6,8,1]=>[5,7,2,3,4,6,8,1]=>[1,8,6,4,3,2,7,5]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [4,3,2,5,7,6,8,1]=>[4,3,7,2,5,6,8,1]=>[1,8,6,5,2,7,3,4]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [3,4,2,5,7,6,8,1]=>[3,4,7,2,5,6,8,1]=>[1,8,6,5,2,7,4,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [2,4,3,5,7,6,8,1]=>[4,7,2,3,5,6,8,1]=>[1,8,6,5,3,2,7,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [2,3,4,5,7,6,8,1]=>[7,2,3,4,5,6,8,1]=>[1,8,6,5,4,3,2,7]=>[[1,2,8],[3],[4],[5],[6],[7]]=>8 [4,6,5,3,2,7,8,1]=>[6,4,5,3,2,7,8,1]=>[1,8,7,2,3,5,4,6]=>[[1,2,5,6,8],[3],[4],[7]]=>15 [3,4,6,5,2,7,8,1]=>[6,3,4,5,2,7,8,1]=>[1,8,7,2,5,4,3,6]=>[[1,2,5,8],[3],[4],[6],[7]]=>12 [2,6,5,4,3,7,8,1]=>[6,5,4,2,3,7,8,1]=>[1,8,7,3,2,4,5,6]=>[[1,2,6,7,8],[3],[4],[5]]=>13 [2,5,6,4,3,7,8,1]=>[5,6,4,2,3,7,8,1]=>[1,8,7,3,2,4,6,5]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [2,4,6,5,3,7,8,1]=>[6,4,5,2,3,7,8,1]=>[1,8,7,3,2,5,4,6]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [2,5,4,6,3,7,8,1]=>[5,4,6,2,3,7,8,1]=>[1,8,7,3,2,6,4,5]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [3,2,5,6,4,7,8,1]=>[3,5,6,2,4,7,8,1]=>[1,8,7,4,2,6,5,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [2,3,6,5,4,7,8,1]=>[6,5,2,3,4,7,8,1]=>[1,8,7,4,3,2,5,6]=>[[1,2,7,8],[3],[4],[5],[6]]=>10 [2,3,5,6,4,7,8,1]=>[5,6,2,3,4,7,8,1]=>[1,8,7,4,3,2,6,5]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [4,3,2,6,5,7,8,1]=>[4,3,6,2,5,7,8,1]=>[1,8,7,5,2,6,3,4]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [2,4,3,6,5,7,8,1]=>[4,6,2,3,5,7,8,1]=>[1,8,7,5,3,2,6,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [2,3,4,6,5,7,8,1]=>[6,2,3,4,5,7,8,1]=>[1,8,7,5,4,3,2,6]=>[[1,2,8],[3],[4],[5],[6],[7]]=>8 [3,5,4,2,6,7,8,1]=>[5,3,4,2,6,7,8,1]=>[1,8,7,6,2,4,3,5]=>[[1,2,6,8],[3],[4],[5],[7]]=>11 [2,5,4,3,6,7,8,1]=>[5,4,2,3,6,7,8,1]=>[1,8,7,6,3,2,4,5]=>[[1,2,7,8],[3],[4],[5],[6]]=>10 [2,4,5,3,6,7,8,1]=>[4,5,2,3,6,7,8,1]=>[1,8,7,6,3,2,5,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [3,2,5,4,6,7,8,1]=>[3,5,2,4,6,7,8,1]=>[1,8,7,6,4,2,5,3]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [2,3,5,4,6,7,8,1]=>[5,2,3,4,6,7,8,1]=>[1,8,7,6,4,3,2,5]=>[[1,2,8],[3],[4],[5],[6],[7]]=>8 [2,4,3,5,6,7,8,1]=>[4,2,3,5,6,7,8,1]=>[1,8,7,6,5,3,2,4]=>[[1,2,8],[3],[4],[5],[6],[7]]=>8 [1,8,7,6,5,4,3,2]=>[8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>21 [1,7,8,6,5,4,3,2]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>20 [1,6,8,7,5,4,3,2]=>[8,6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6,8]=>[[1,3,4,5,6,8],[2,7]]=>19 [1,7,6,8,5,4,3,2]=>[7,6,8,5,4,3,1,2]=>[2,1,3,4,5,8,6,7]=>[[1,3,4,5,6,8],[2,7]]=>19 [1,6,7,8,5,4,3,2]=>[6,7,8,5,4,3,1,2]=>[2,1,3,4,5,8,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>18 [1,5,8,7,6,4,3,2]=>[8,7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7,8]=>[[1,3,4,5,7,8],[2,6]]=>18 [1,5,7,8,6,4,3,2]=>[7,8,5,6,4,3,1,2]=>[2,1,3,4,6,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>17 [1,6,5,8,7,4,3,2]=>[6,8,5,7,4,3,1,2]=>[2,1,3,4,7,5,8,6]=>[[1,3,4,5,7],[2,6,8]]=>17 [1,7,6,5,8,4,3,2]=>[7,6,5,8,4,3,1,2]=>[2,1,3,4,8,5,6,7]=>[[1,3,4,5,7,8],[2,6]]=>18 [1,6,7,5,8,4,3,2]=>[6,7,5,8,4,3,1,2]=>[2,1,3,4,8,5,7,6]=>[[1,3,4,5,7],[2,6],[8]]=>17 [1,5,7,6,8,4,3,2]=>[7,5,6,8,4,3,1,2]=>[2,1,3,4,8,6,5,7]=>[[1,3,4,5,8],[2,6],[7]]=>16 [1,6,5,7,8,4,3,2]=>[6,5,7,8,4,3,1,2]=>[2,1,3,4,8,7,5,6]=>[[1,3,4,5,8],[2,6],[7]]=>16 [1,5,6,7,8,4,3,2]=>[5,6,7,8,4,3,1,2]=>[2,1,3,4,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [1,4,7,8,6,5,3,2]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[1,3,4,6,7],[2,5,8]]=>16 [1,4,6,7,8,5,3,2]=>[6,7,8,4,5,3,1,2]=>[2,1,3,5,4,8,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>14 [1,5,4,7,8,6,3,2]=>[5,7,8,4,6,3,1,2]=>[2,1,3,6,4,8,7,5]=>[[1,3,4,6],[2,5,7],[8]]=>14 [1,6,5,4,8,7,3,2]=>[6,5,8,4,7,3,1,2]=>[2,1,3,7,4,8,5,6]=>[[1,3,4,6,8],[2,5,7]]=>15 [1,4,6,5,8,7,3,2]=>[6,8,4,5,7,3,1,2]=>[2,1,3,7,5,4,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>13 [1,7,6,5,4,8,3,2]=>[7,6,5,4,8,3,1,2]=>[2,1,3,8,4,5,6,7]=>[[1,3,4,6,7,8],[2,5]]=>17 [1,6,7,5,4,8,3,2]=>[6,7,5,4,8,3,1,2]=>[2,1,3,8,4,5,7,6]=>[[1,3,4,6,7],[2,5],[8]]=>16 [1,6,5,7,4,8,3,2]=>[6,5,7,4,8,3,1,2]=>[2,1,3,8,4,7,5,6]=>[[1,3,4,6,8],[2,5],[7]]=>15 [1,5,6,7,4,8,3,2]=>[5,6,7,4,8,3,1,2]=>[2,1,3,8,4,7,6,5]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [1,4,7,6,5,8,3,2]=>[7,6,4,5,8,3,1,2]=>[2,1,3,8,5,4,6,7]=>[[1,3,4,7,8],[2,5],[6]]=>14 [1,4,6,7,5,8,3,2]=>[6,7,4,5,8,3,1,2]=>[2,1,3,8,5,4,7,6]=>[[1,3,4,7],[2,5,8],[6]]=>13 [1,4,5,7,6,8,3,2]=>[7,4,5,6,8,3,1,2]=>[2,1,3,8,6,5,4,7]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [1,6,5,4,7,8,3,2]=>[6,5,4,7,8,3,1,2]=>[2,1,3,8,7,4,5,6]=>[[1,3,4,7,8],[2,5],[6]]=>14 [1,5,6,4,7,8,3,2]=>[5,6,4,7,8,3,1,2]=>[2,1,3,8,7,4,6,5]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [1,5,4,6,7,8,3,2]=>[5,4,6,7,8,3,1,2]=>[2,1,3,8,7,6,4,5]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [1,4,5,6,7,8,3,2]=>[4,5,6,7,8,3,1,2]=>[2,1,3,8,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [1,3,8,7,6,5,4,2]=>[8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>16 [1,3,7,8,6,5,4,2]=>[7,8,6,5,3,4,1,2]=>[2,1,4,3,5,6,8,7]=>[[1,3,5,6,7],[2,4,8]]=>15 [1,3,7,6,8,5,4,2]=>[7,6,8,5,3,4,1,2]=>[2,1,4,3,5,8,6,7]=>[[1,3,5,6,8],[2,4,7]]=>14 [1,3,6,7,8,5,4,2]=>[6,7,8,5,3,4,1,2]=>[2,1,4,3,5,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>13 [1,3,5,8,7,6,4,2]=>[8,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,8]=>[[1,3,5,7,8],[2,4,6]]=>13 [1,3,5,7,8,6,4,2]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[1,3,5,7],[2,4,6,8]]=>12 [1,3,6,5,8,7,4,2]=>[6,8,5,7,3,4,1,2]=>[2,1,4,3,7,5,8,6]=>[[1,3,5,7],[2,4,6,8]]=>12 [1,3,7,6,5,8,4,2]=>[7,6,5,8,3,4,1,2]=>[2,1,4,3,8,5,6,7]=>[[1,3,5,7,8],[2,4,6]]=>13 [1,3,6,7,5,8,4,2]=>[6,7,5,8,3,4,1,2]=>[2,1,4,3,8,5,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>12 [1,3,5,7,6,8,4,2]=>[7,5,6,8,3,4,1,2]=>[2,1,4,3,8,6,5,7]=>[[1,3,5,8],[2,4,6],[7]]=>11 [1,3,6,5,7,8,4,2]=>[6,5,7,8,3,4,1,2]=>[2,1,4,3,8,7,5,6]=>[[1,3,5,8],[2,4,6],[7]]=>11 [1,3,5,6,7,8,4,2]=>[5,6,7,8,3,4,1,2]=>[2,1,4,3,8,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [1,4,3,7,8,6,5,2]=>[7,8,4,6,3,5,1,2]=>[2,1,5,3,6,4,8,7]=>[[1,3,5,7],[2,4,6,8]]=>12 [1,4,3,7,6,8,5,2]=>[7,4,6,8,3,5,1,2]=>[2,1,5,3,8,6,4,7]=>[[1,3,5,8],[2,4,6],[7]]=>11 [1,4,3,6,7,8,5,2]=>[4,6,7,8,3,5,1,2]=>[2,1,5,3,8,7,6,4]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [1,3,4,8,7,6,5,2]=>[8,7,6,3,4,5,1,2]=>[2,1,5,4,3,6,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>12 [1,3,4,6,8,7,5,2]=>[8,6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>10 [1,3,4,6,7,8,5,2]=>[6,7,8,3,4,5,1,2]=>[2,1,5,4,3,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>9 [1,5,4,3,8,7,6,2]=>[5,8,4,7,3,6,1,2]=>[2,1,6,3,7,4,8,5]=>[[1,3,5,7],[2,4,6,8]]=>12 [1,4,5,3,8,7,6,2]=>[8,4,5,7,3,6,1,2]=>[2,1,6,3,7,5,4,8]=>[[1,3,5,8],[2,4,6],[7]]=>11 [1,4,3,5,7,8,6,2]=>[4,7,8,3,5,6,1,2]=>[2,1,6,5,3,8,7,4]=>[[1,3,6],[2,4,7],[5,8]]=>9 [1,3,4,5,7,8,6,2]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [1,6,5,4,3,8,7,2]=>[6,5,4,8,3,7,1,2]=>[2,1,7,3,8,4,5,6]=>[[1,3,5,7,8],[2,4,6]]=>13 [1,5,6,4,3,8,7,2]=>[5,6,4,8,3,7,1,2]=>[2,1,7,3,8,4,6,5]=>[[1,3,5,7],[2,4,6],[8]]=>12 [1,4,6,5,3,8,7,2]=>[6,4,5,8,3,7,1,2]=>[2,1,7,3,8,5,4,6]=>[[1,3,5,8],[2,4,6],[7]]=>11 [1,5,4,6,3,8,7,2]=>[5,4,6,8,3,7,1,2]=>[2,1,7,3,8,6,4,5]=>[[1,3,5,8],[2,4,6],[7]]=>11 [1,4,5,6,3,8,7,2]=>[4,5,6,8,3,7,1,2]=>[2,1,7,3,8,6,5,4]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [1,3,6,5,4,8,7,2]=>[6,5,8,3,4,7,1,2]=>[2,1,7,4,3,8,5,6]=>[[1,3,6,8],[2,4,7],[5]]=>10 [1,3,5,6,4,8,7,2]=>[5,6,8,3,4,7,1,2]=>[2,1,7,4,3,8,6,5]=>[[1,3,6],[2,4,7],[5,8]]=>9 [1,4,3,6,5,8,7,2]=>[4,6,8,3,5,7,1,2]=>[2,1,7,5,3,8,6,4]=>[[1,3,6],[2,4,7],[5,8]]=>9 [1,3,4,6,5,8,7,2]=>[6,8,3,4,5,7,1,2]=>[2,1,7,5,4,3,8,6]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [1,5,4,3,6,8,7,2]=>[5,4,8,3,6,7,1,2]=>[2,1,7,6,3,8,4,5]=>[[1,3,6,8],[2,4,7],[5]]=>10 [1,4,5,3,6,8,7,2]=>[4,5,8,3,6,7,1,2]=>[2,1,7,6,3,8,5,4]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [1,4,3,5,6,8,7,2]=>[4,8,3,5,6,7,1,2]=>[2,1,7,6,5,3,8,4]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [1,3,4,5,6,8,7,2]=>[8,3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [1,7,6,5,4,3,8,2]=>[7,6,5,4,3,8,1,2]=>[2,1,8,3,4,5,6,7]=>[[1,3,5,6,7,8],[2,4]]=>16 [1,5,6,7,4,3,8,2]=>[5,6,7,4,3,8,1,2]=>[2,1,8,3,4,7,6,5]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [1,4,6,7,5,3,8,2]=>[6,7,4,5,3,8,1,2]=>[2,1,8,3,5,4,7,6]=>[[1,3,5,7],[2,4,8],[6]]=>12 [1,5,4,7,6,3,8,2]=>[5,7,4,6,3,8,1,2]=>[2,1,8,3,6,4,7,5]=>[[1,3,5,7],[2,4,8],[6]]=>12 [1,6,5,4,7,3,8,2]=>[6,5,4,7,3,8,1,2]=>[2,1,8,3,7,4,5,6]=>[[1,3,5,7,8],[2,4],[6]]=>13 [1,5,6,4,7,3,8,2]=>[5,6,4,7,3,8,1,2]=>[2,1,8,3,7,4,6,5]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [1,4,6,5,7,3,8,2]=>[6,4,5,7,3,8,1,2]=>[2,1,8,3,7,5,4,6]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [1,5,4,6,7,3,8,2]=>[5,4,6,7,3,8,1,2]=>[2,1,8,3,7,6,4,5]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [1,4,5,6,7,3,8,2]=>[4,5,6,7,3,8,1,2]=>[2,1,8,3,7,6,5,4]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [1,3,5,7,6,4,8,2]=>[7,5,6,3,4,8,1,2]=>[2,1,8,4,3,6,5,7]=>[[1,3,6,8],[2,4,7],[5]]=>10 [1,3,6,5,7,4,8,2]=>[6,5,7,3,4,8,1,2]=>[2,1,8,4,3,7,5,6]=>[[1,3,6,8],[2,4,7],[5]]=>10 [1,3,5,6,7,4,8,2]=>[5,6,7,3,4,8,1,2]=>[2,1,8,4,3,7,6,5]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [1,4,3,6,7,5,8,2]=>[4,6,7,3,5,8,1,2]=>[2,1,8,5,3,7,6,4]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [1,3,4,7,6,5,8,2]=>[7,6,3,4,5,8,1,2]=>[2,1,8,5,4,3,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [1,3,4,6,7,5,8,2]=>[6,7,3,4,5,8,1,2]=>[2,1,8,5,4,3,7,6]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [1,5,4,3,7,6,8,2]=>[5,4,7,3,6,8,1,2]=>[2,1,8,6,3,7,4,5]=>[[1,3,6,8],[2,4,7],[5]]=>10 [1,3,5,4,7,6,8,2]=>[5,7,3,4,6,8,1,2]=>[2,1,8,6,4,3,7,5]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [1,3,4,5,7,6,8,2]=>[7,3,4,5,6,8,1,2]=>[2,1,8,6,5,4,3,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [1,6,5,4,3,7,8,2]=>[6,5,4,3,7,8,1,2]=>[2,1,8,7,3,4,5,6]=>[[1,3,6,7,8],[2,4],[5]]=>12 [1,4,6,5,3,7,8,2]=>[6,4,5,3,7,8,1,2]=>[2,1,8,7,3,5,4,6]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [1,5,4,6,3,7,8,2]=>[5,4,6,3,7,8,1,2]=>[2,1,8,7,3,6,4,5]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [1,4,5,6,3,7,8,2]=>[4,5,6,3,7,8,1,2]=>[2,1,8,7,3,6,5,4]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [1,3,5,6,4,7,8,2]=>[5,6,3,4,7,8,1,2]=>[2,1,8,7,4,3,6,5]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [1,4,3,6,5,7,8,2]=>[4,6,3,5,7,8,1,2]=>[2,1,8,7,5,3,6,4]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [1,3,4,6,5,7,8,2]=>[6,3,4,5,7,8,1,2]=>[2,1,8,7,5,4,3,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [1,5,4,3,6,7,8,2]=>[5,4,3,6,7,8,1,2]=>[2,1,8,7,6,3,4,5]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [1,4,5,3,6,7,8,2]=>[4,5,3,6,7,8,1,2]=>[2,1,8,7,6,3,5,4]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [1,3,5,4,6,7,8,2]=>[5,3,4,6,7,8,1,2]=>[2,1,8,7,6,4,3,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [1,4,3,5,6,7,8,2]=>[4,3,5,6,7,8,1,2]=>[2,1,8,7,6,5,3,4]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [1,3,4,5,6,7,8,2]=>[3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>6 [2,1,8,7,6,5,4,3]=>[8,7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>16 [2,1,7,6,8,5,4,3]=>[7,6,8,5,2,4,1,3]=>[3,1,4,2,5,8,6,7]=>[[1,3,5,6,8],[2,4,7]]=>14 [2,1,6,7,8,5,4,3]=>[6,7,8,5,2,4,1,3]=>[3,1,4,2,5,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>13 [2,1,5,8,7,6,4,3]=>[8,7,5,6,2,4,1,3]=>[3,1,4,2,6,5,7,8]=>[[1,3,5,7,8],[2,4,6]]=>13 [2,1,5,7,8,6,4,3]=>[7,8,5,6,2,4,1,3]=>[3,1,4,2,6,5,8,7]=>[[1,3,5,7],[2,4,6,8]]=>12 [2,1,6,5,8,7,4,3]=>[6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6]=>[[1,3,5,7],[2,4,6,8]]=>12 [2,1,7,6,5,8,4,3]=>[7,6,5,8,2,4,1,3]=>[3,1,4,2,8,5,6,7]=>[[1,3,5,7,8],[2,4,6]]=>13 [2,1,6,7,5,8,4,3]=>[6,7,5,8,2,4,1,3]=>[3,1,4,2,8,5,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>12 [2,1,5,6,7,8,4,3]=>[5,6,7,8,2,4,1,3]=>[3,1,4,2,8,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [2,1,4,7,6,8,5,3]=>[7,6,8,2,4,5,1,3]=>[3,1,5,4,2,8,6,7]=>[[1,3,6,8],[2,4,7],[5]]=>10 [2,1,4,5,8,7,6,3]=>[8,7,2,4,5,6,1,3]=>[3,1,6,5,4,2,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [2,1,4,5,7,8,6,3]=>[7,8,2,4,5,6,1,3]=>[3,1,6,5,4,2,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [2,1,5,6,4,8,7,3]=>[5,6,8,2,4,7,1,3]=>[3,1,7,4,2,8,6,5]=>[[1,3,6],[2,4,7],[5,8]]=>9 [2,1,4,6,5,8,7,3]=>[6,8,2,4,5,7,1,3]=>[3,1,7,5,4,2,8,6]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [2,1,5,4,6,8,7,3]=>[5,8,2,4,6,7,1,3]=>[3,1,7,6,4,2,8,5]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [2,1,4,5,6,8,7,3]=>[8,2,4,5,6,7,1,3]=>[3,1,7,6,5,4,2,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [2,1,7,6,5,4,8,3]=>[7,6,5,2,4,8,1,3]=>[3,1,8,4,2,5,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>12 [2,1,5,6,7,4,8,3]=>[5,6,7,2,4,8,1,3]=>[3,1,8,4,2,7,6,5]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [2,1,4,7,6,5,8,3]=>[7,6,2,4,5,8,1,3]=>[3,1,8,5,4,2,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [2,1,5,4,7,6,8,3]=>[5,7,2,4,6,8,1,3]=>[3,1,8,6,4,2,7,5]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [2,1,4,5,7,6,8,3]=>[7,2,4,5,6,8,1,3]=>[3,1,8,6,5,4,2,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [2,1,4,6,5,7,8,3]=>[6,2,4,5,7,8,1,3]=>[3,1,8,7,5,4,2,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [2,1,5,4,6,7,8,3]=>[5,2,4,6,7,8,1,3]=>[3,1,8,7,6,4,2,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [2,1,4,5,6,7,8,3]=>[2,4,5,6,7,8,1,3]=>[3,1,8,7,6,5,4,2]=>[[1,3],[2,4],[5],[6],[7],[8]]=>6 [1,2,8,7,6,5,4,3]=>[8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>15 [1,2,7,8,6,5,4,3]=>[7,8,6,5,4,1,2,3]=>[3,2,1,4,5,6,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>14 [1,2,6,7,8,5,4,3]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>12 [1,2,6,5,8,7,4,3]=>[6,8,5,7,4,1,2,3]=>[3,2,1,4,7,5,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>11 [1,2,5,6,8,7,4,3]=>[8,5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>10 [1,2,7,6,5,8,4,3]=>[7,6,5,8,4,1,2,3]=>[3,2,1,4,8,5,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>12 [1,2,6,7,5,8,4,3]=>[6,7,5,8,4,1,2,3]=>[3,2,1,4,8,5,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>11 [1,2,5,6,7,8,4,3]=>[5,6,7,8,4,1,2,3]=>[3,2,1,4,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [1,2,4,8,7,6,5,3]=>[8,7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>11 [1,2,4,6,8,7,5,3]=>[8,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>9 [1,2,5,4,8,7,6,3]=>[8,5,7,4,6,1,2,3]=>[3,2,1,6,4,7,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>9 [1,2,4,5,8,7,6,3]=>[8,7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7,8]=>[[1,4,7,8],[2,5],[3,6]]=>8 [1,2,4,5,7,8,6,3]=>[7,8,4,5,6,1,2,3]=>[3,2,1,6,5,4,8,7]=>[[1,4,7],[2,5,8],[3,6]]=>7 [1,2,6,5,4,8,7,3]=>[6,5,8,4,7,1,2,3]=>[3,2,1,7,4,8,5,6]=>[[1,4,6,8],[2,5,7],[3]]=>9 [1,2,4,6,5,8,7,3]=>[6,8,4,5,7,1,2,3]=>[3,2,1,7,5,4,8,6]=>[[1,4,7],[2,5,8],[3,6]]=>7 [1,2,4,5,6,8,7,3]=>[8,4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4,8]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [1,2,7,6,5,4,8,3]=>[7,6,5,4,8,1,2,3]=>[3,2,1,8,4,5,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>11 [1,2,6,7,5,4,8,3]=>[6,7,5,4,8,1,2,3]=>[3,2,1,8,4,5,7,6]=>[[1,4,6,7],[2,5],[3,8]]=>10 [1,2,5,7,6,4,8,3]=>[7,5,6,4,8,1,2,3]=>[3,2,1,8,4,6,5,7]=>[[1,4,6,8],[2,5],[3,7]]=>9 [1,2,6,5,7,4,8,3]=>[6,5,7,4,8,1,2,3]=>[3,2,1,8,4,7,5,6]=>[[1,4,6,8],[2,5],[3,7]]=>9 [1,2,5,6,7,4,8,3]=>[5,6,7,4,8,1,2,3]=>[3,2,1,8,4,7,6,5]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [1,2,4,7,6,5,8,3]=>[7,6,4,5,8,1,2,3]=>[3,2,1,8,5,4,6,7]=>[[1,4,7,8],[2,5],[3,6]]=>8 [1,2,4,6,7,5,8,3]=>[6,7,4,5,8,1,2,3]=>[3,2,1,8,5,4,7,6]=>[[1,4,7],[2,5,8],[3,6]]=>7 [1,2,5,4,7,6,8,3]=>[5,7,4,6,8,1,2,3]=>[3,2,1,8,6,4,7,5]=>[[1,4,7],[2,5,8],[3,6]]=>7 [1,2,6,5,4,7,8,3]=>[6,5,4,7,8,1,2,3]=>[3,2,1,8,7,4,5,6]=>[[1,4,7,8],[2,5],[3,6]]=>8 [1,2,5,6,4,7,8,3]=>[5,6,4,7,8,1,2,3]=>[3,2,1,8,7,4,6,5]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [1,2,4,6,5,7,8,3]=>[6,4,5,7,8,1,2,3]=>[3,2,1,8,7,5,4,6]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [1,2,5,4,6,7,8,3]=>[5,4,6,7,8,1,2,3]=>[3,2,1,8,7,6,4,5]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [1,2,4,5,6,7,8,3]=>[4,5,6,7,8,1,2,3]=>[3,2,1,8,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>5 [3,2,1,8,7,6,5,4]=>[8,7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7,8]=>[[1,3,5,7,8],[2,4,6]]=>13 [3,2,1,7,8,6,5,4]=>[7,8,3,6,2,5,1,4]=>[4,1,5,2,6,3,8,7]=>[[1,3,5,7],[2,4,6,8]]=>12 [3,2,1,6,8,7,5,4]=>[8,3,6,7,2,5,1,4]=>[4,1,5,2,7,6,3,8]=>[[1,3,5,8],[2,4,6],[7]]=>11 [3,2,1,6,7,8,5,4]=>[3,6,7,8,2,5,1,4]=>[4,1,5,2,8,7,6,3]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [3,2,1,5,8,7,6,4]=>[8,3,7,2,5,6,1,4]=>[4,1,6,5,2,7,3,8]=>[[1,3,6,8],[2,4,7],[5]]=>10 [3,2,1,6,5,8,7,4]=>[3,6,8,2,5,7,1,4]=>[4,1,7,5,2,8,6,3]=>[[1,3,6],[2,4,7],[5,8]]=>9 [3,2,1,5,6,8,7,4]=>[3,8,2,5,6,7,1,4]=>[4,1,7,6,5,2,8,3]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [3,2,1,7,6,5,8,4]=>[7,3,6,2,5,8,1,4]=>[4,1,8,5,2,6,3,7]=>[[1,3,6,8],[2,4,7],[5]]=>10 [3,2,1,6,7,5,8,4]=>[3,6,7,2,5,8,1,4]=>[4,1,8,5,2,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [2,3,1,6,8,7,5,4]=>[8,6,7,2,3,5,1,4]=>[4,1,5,3,2,7,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>10 [2,3,1,7,6,8,5,4]=>[7,6,8,2,3,5,1,4]=>[4,1,5,3,2,8,6,7]=>[[1,3,6,8],[2,4,7],[5]]=>10 [2,3,1,6,7,8,5,4]=>[6,7,8,2,3,5,1,4]=>[4,1,5,3,2,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>9 [2,3,1,6,5,8,7,4]=>[6,8,2,3,5,7,1,4]=>[4,1,7,5,3,2,8,6]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [2,3,1,5,6,8,7,4]=>[8,2,3,5,6,7,1,4]=>[4,1,7,6,5,3,2,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [2,3,1,7,6,5,8,4]=>[7,6,2,3,5,8,1,4]=>[4,1,8,5,3,2,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [2,3,1,6,7,5,8,4]=>[6,7,2,3,5,8,1,4]=>[4,1,8,5,3,2,7,6]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [2,3,1,6,5,7,8,4]=>[6,2,3,5,7,8,1,4]=>[4,1,8,7,5,3,2,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [2,3,1,5,6,7,8,4]=>[2,3,5,6,7,8,1,4]=>[4,1,8,7,6,5,3,2]=>[[1,3],[2,4],[5],[6],[7],[8]]=>6 [1,3,2,8,7,6,5,4]=>[8,7,6,3,5,1,2,4]=>[4,2,1,5,3,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>11 [1,3,2,6,8,7,5,4]=>[8,6,7,3,5,1,2,4]=>[4,2,1,5,3,7,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>9 [1,3,2,5,8,7,6,4]=>[8,7,3,5,6,1,2,4]=>[4,2,1,6,5,3,7,8]=>[[1,4,7,8],[2,5],[3,6]]=>8 [1,3,2,5,7,8,6,4]=>[7,8,3,5,6,1,2,4]=>[4,2,1,6,5,3,8,7]=>[[1,4,7],[2,5,8],[3,6]]=>7 [1,3,2,7,6,5,8,4]=>[7,6,3,5,8,1,2,4]=>[4,2,1,8,5,3,6,7]=>[[1,4,7,8],[2,5],[3,6]]=>8 [1,3,2,5,7,6,8,4]=>[7,3,5,6,8,1,2,4]=>[4,2,1,8,6,5,3,7]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [1,3,2,5,6,7,8,4]=>[3,5,6,7,8,1,2,4]=>[4,2,1,8,7,6,5,3]=>[[1,4],[2,5],[3,6],[7],[8]]=>5 [2,1,3,7,8,6,5,4]=>[7,8,6,2,5,1,3,4]=>[4,3,1,5,2,6,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>10 [2,1,3,6,8,7,5,4]=>[8,6,7,2,5,1,3,4]=>[4,3,1,5,2,7,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>9 [2,1,3,7,6,8,5,4]=>[7,6,8,2,5,1,3,4]=>[4,3,1,5,2,8,6,7]=>[[1,4,6,8],[2,5,7],[3]]=>9 [2,1,3,6,5,8,7,4]=>[6,8,2,5,7,1,3,4]=>[4,3,1,7,5,2,8,6]=>[[1,4,7],[2,5,8],[3,6]]=>7 [2,1,3,7,6,5,8,4]=>[7,6,2,5,8,1,3,4]=>[4,3,1,8,5,2,6,7]=>[[1,4,7,8],[2,5],[3,6]]=>8 [2,1,3,6,7,5,8,4]=>[6,7,2,5,8,1,3,4]=>[4,3,1,8,5,2,7,6]=>[[1,4,7],[2,5,8],[3,6]]=>7 [2,1,3,6,5,7,8,4]=>[6,2,5,7,8,1,3,4]=>[4,3,1,8,7,5,2,6]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [2,1,3,5,6,7,8,4]=>[2,5,6,7,8,1,3,4]=>[4,3,1,8,7,6,5,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>5 [1,2,3,8,7,6,5,4]=>[8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>10 [1,2,3,7,8,6,5,4]=>[7,8,6,5,1,2,3,4]=>[4,3,2,1,5,6,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [1,2,3,6,8,7,5,4]=>[8,6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [1,2,3,7,6,8,5,4]=>[7,6,8,5,1,2,3,4]=>[4,3,2,1,5,8,6,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [1,2,3,6,7,8,5,4]=>[6,7,8,5,1,2,3,4]=>[4,3,2,1,5,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [1,2,3,5,8,7,6,4]=>[8,7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,2,3,5,7,8,6,4]=>[7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [1,2,3,6,5,8,7,4]=>[6,8,5,7,1,2,3,4]=>[4,3,2,1,7,5,8,6]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [1,2,3,5,6,8,7,4]=>[8,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,8]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,2,3,7,6,5,8,4]=>[7,6,5,8,1,2,3,4]=>[4,3,2,1,8,5,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,2,3,6,7,5,8,4]=>[6,7,5,8,1,2,3,4]=>[4,3,2,1,8,5,7,6]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [1,2,3,5,7,6,8,4]=>[7,5,6,8,1,2,3,4]=>[4,3,2,1,8,6,5,7]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,2,3,6,5,7,8,4]=>[6,5,7,8,1,2,3,4]=>[4,3,2,1,8,7,5,6]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,2,3,5,6,7,8,4]=>[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>[[1,5],[2,6],[3,7],[4,8]]=>4 [4,3,2,1,8,7,6,5]=>[4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]=>[[1,3,5,7],[2,4,6,8]]=>12 [4,3,2,1,7,8,6,5]=>[4,3,7,8,2,6,1,5]=>[5,1,6,2,8,7,3,4]=>[[1,3,5,8],[2,4,6],[7]]=>11 [4,3,2,1,7,6,8,5]=>[4,3,7,2,6,8,1,5]=>[5,1,8,6,2,7,3,4]=>[[1,3,6,8],[2,4,7],[5]]=>10 [4,3,2,1,6,7,8,5]=>[4,3,2,6,7,8,1,5]=>[5,1,8,7,6,2,3,4]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [3,4,2,1,8,7,6,5]=>[8,3,4,7,2,6,1,5]=>[5,1,6,2,7,4,3,8]=>[[1,3,5,8],[2,4,6],[7]]=>11 [3,4,2,1,7,8,6,5]=>[3,4,7,8,2,6,1,5]=>[5,1,6,2,8,7,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [3,4,2,1,6,8,7,5]=>[3,4,8,2,6,7,1,5]=>[5,1,7,6,2,8,4,3]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [3,4,2,1,7,6,8,5]=>[3,4,7,2,6,8,1,5]=>[5,1,8,6,2,7,4,3]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [3,4,2,1,6,7,8,5]=>[3,4,2,6,7,8,1,5]=>[5,1,8,7,6,2,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [2,4,3,1,8,7,6,5]=>[8,4,7,2,3,6,1,5]=>[5,1,6,3,2,7,4,8]=>[[1,3,6,8],[2,4,7],[5]]=>10 [2,4,3,1,7,8,6,5]=>[4,7,8,2,3,6,1,5]=>[5,1,6,3,2,8,7,4]=>[[1,3,6],[2,4,7],[5,8]]=>9 [2,4,3,1,7,6,8,5]=>[4,7,2,3,6,8,1,5]=>[5,1,8,6,3,2,7,4]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [3,2,4,1,8,7,6,5]=>[8,3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3,8]=>[[1,3,6,8],[2,4,7],[5]]=>10 [3,2,4,1,7,8,6,5]=>[3,7,8,2,4,6,1,5]=>[5,1,6,4,2,8,7,3]=>[[1,3,6],[2,4,7],[5,8]]=>9 [3,2,4,1,6,8,7,5]=>[3,8,2,4,6,7,1,5]=>[5,1,7,6,4,2,8,3]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [3,2,4,1,7,6,8,5]=>[3,7,2,4,6,8,1,5]=>[5,1,8,6,4,2,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [2,3,4,1,8,7,6,5]=>[8,7,2,3,4,6,1,5]=>[5,1,6,4,3,2,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [2,3,4,1,7,8,6,5]=>[7,8,2,3,4,6,1,5]=>[5,1,6,4,3,2,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [2,3,4,1,6,8,7,5]=>[8,2,3,4,6,7,1,5]=>[5,1,7,6,4,3,2,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [2,3,4,1,7,6,8,5]=>[7,2,3,4,6,8,1,5]=>[5,1,8,6,4,3,2,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [2,3,4,1,6,7,8,5]=>[2,3,4,6,7,8,1,5]=>[5,1,8,7,6,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8]]=>6 [1,4,3,2,8,7,6,5]=>[8,4,7,3,6,1,2,5]=>[5,2,1,6,3,7,4,8]=>[[1,4,6,8],[2,5,7],[3]]=>9 [1,4,3,2,7,8,6,5]=>[4,7,8,3,6,1,2,5]=>[5,2,1,6,3,8,7,4]=>[[1,4,6],[2,5,7],[3,8]]=>8 [1,4,3,2,7,6,8,5]=>[4,7,3,6,8,1,2,5]=>[5,2,1,8,6,3,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>7 [1,4,3,2,6,7,8,5]=>[4,3,6,7,8,1,2,5]=>[5,2,1,8,7,6,3,4]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [1,3,4,2,8,7,6,5]=>[8,7,3,4,6,1,2,5]=>[5,2,1,6,4,3,7,8]=>[[1,4,7,8],[2,5],[3,6]]=>8 [1,3,4,2,6,7,8,5]=>[3,4,6,7,8,1,2,5]=>[5,2,1,8,7,6,4,3]=>[[1,4],[2,5],[3,6],[7],[8]]=>5 [2,1,4,3,8,7,6,5]=>[8,7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7,8]=>[[1,4,7,8],[2,5],[3,6]]=>8 [2,1,4,3,7,8,6,5]=>[7,8,2,4,6,1,3,5]=>[5,3,1,6,4,2,8,7]=>[[1,4,7],[2,5,8],[3,6]]=>7 [2,1,4,3,6,8,7,5]=>[8,2,4,6,7,1,3,5]=>[5,3,1,7,6,4,2,8]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [2,1,4,3,7,6,8,5]=>[7,2,4,6,8,1,3,5]=>[5,3,1,8,6,4,2,7]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [2,1,4,3,6,7,8,5]=>[2,4,6,7,8,1,3,5]=>[5,3,1,8,7,6,4,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>5 [1,2,4,3,8,7,6,5]=>[8,7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,2,4,3,7,8,6,5]=>[7,8,4,6,1,2,3,5]=>[5,3,2,1,6,4,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [1,2,4,3,6,8,7,5]=>[8,4,6,7,1,2,3,5]=>[5,3,2,1,7,6,4,8]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,2,4,3,7,6,8,5]=>[7,4,6,8,1,2,3,5]=>[5,3,2,1,8,6,4,7]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,2,4,3,6,7,8,5]=>[4,6,7,8,1,2,3,5]=>[5,3,2,1,8,7,6,4]=>[[1,5],[2,6],[3,7],[4,8]]=>4 [3,2,1,4,8,7,6,5]=>[8,3,7,2,6,1,4,5]=>[5,4,1,6,2,7,3,8]=>[[1,4,6,8],[2,5,7],[3]]=>9 [3,2,1,4,6,8,7,5]=>[3,8,2,6,7,1,4,5]=>[5,4,1,7,6,2,8,3]=>[[1,4,7],[2,5,8],[3,6]]=>7 [3,2,1,4,7,6,8,5]=>[3,7,2,6,8,1,4,5]=>[5,4,1,8,6,2,7,3]=>[[1,4,7],[2,5,8],[3,6]]=>7 [3,2,1,4,6,7,8,5]=>[3,2,6,7,8,1,4,5]=>[5,4,1,8,7,6,2,3]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [2,3,1,4,8,7,6,5]=>[8,7,2,3,6,1,4,5]=>[5,4,1,6,3,2,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [2,3,1,4,7,8,6,5]=>[7,8,2,3,6,1,4,5]=>[5,4,1,6,3,2,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [2,3,1,4,6,8,7,5]=>[8,2,3,6,7,1,4,5]=>[5,4,1,7,6,3,2,8]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [2,3,1,4,7,6,8,5]=>[7,2,3,6,8,1,4,5]=>[5,4,1,8,6,3,2,7]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [2,3,1,4,6,7,8,5]=>[2,3,6,7,8,1,4,5]=>[5,4,1,8,7,6,3,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>5 [1,3,2,4,8,7,6,5]=>[8,7,3,6,1,2,4,5]=>[5,4,2,1,6,3,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,3,2,4,6,8,7,5]=>[8,3,6,7,1,2,4,5]=>[5,4,2,1,7,6,3,8]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,3,2,4,6,7,8,5]=>[3,6,7,8,1,2,4,5]=>[5,4,2,1,8,7,6,3]=>[[1,5],[2,6],[3,7],[4,8]]=>4 [2,1,3,4,8,7,6,5]=>[8,7,2,6,1,3,4,5]=>[5,4,3,1,6,2,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [2,1,3,4,7,8,6,5]=>[7,8,2,6,1,3,4,5]=>[5,4,3,1,6,2,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [2,1,3,4,6,8,7,5]=>[8,2,6,7,1,3,4,5]=>[5,4,3,1,7,6,2,8]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [2,1,3,4,6,7,8,5]=>[2,6,7,8,1,3,4,5]=>[5,4,3,1,8,7,6,2]=>[[1,5],[2,6],[3,7],[4,8]]=>4 [1,2,3,4,8,7,6,5]=>[8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [1,2,3,4,7,8,6,5]=>[7,8,6,1,2,3,4,5]=>[5,4,3,2,1,6,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [1,2,3,4,6,8,7,5]=>[8,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,2,3,4,7,6,8,5]=>[7,6,8,1,2,3,4,5]=>[5,4,3,2,1,8,6,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,2,3,4,6,7,8,5]=>[6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>3 [5,4,3,2,1,8,7,6]=>[5,4,3,8,2,7,1,6]=>[6,1,7,2,8,3,4,5]=>[[1,3,5,7,8],[2,4,6]]=>13 [5,4,3,2,1,7,8,6]=>[5,4,3,2,7,8,1,6]=>[6,1,8,7,2,3,4,5]=>[[1,3,6,7,8],[2,4],[5]]=>12 [4,5,3,2,1,8,7,6]=>[4,5,3,8,2,7,1,6]=>[6,1,7,2,8,3,5,4]=>[[1,3,5,7],[2,4,6],[8]]=>12 [4,5,3,2,1,7,8,6]=>[4,5,3,2,7,8,1,6]=>[6,1,8,7,2,3,5,4]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [3,5,4,2,1,8,7,6]=>[5,3,4,8,2,7,1,6]=>[6,1,7,2,8,4,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>11 [3,4,5,2,1,8,7,6]=>[3,4,5,8,2,7,1,6]=>[6,1,7,2,8,5,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [3,4,5,2,1,7,8,6]=>[3,4,5,2,7,8,1,6]=>[6,1,8,7,2,5,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [2,5,4,3,1,8,7,6]=>[5,4,8,2,3,7,1,6]=>[6,1,7,3,2,8,4,5]=>[[1,3,6,8],[2,4,7],[5]]=>10 [2,4,5,3,1,8,7,6]=>[4,5,8,2,3,7,1,6]=>[6,1,7,3,2,8,5,4]=>[[1,3,6],[2,4,7],[5,8]]=>9 [3,2,5,4,1,8,7,6]=>[3,5,8,2,4,7,1,6]=>[6,1,7,4,2,8,5,3]=>[[1,3,6],[2,4,7],[5,8]]=>9 [3,2,5,4,1,7,8,6]=>[3,5,2,4,7,8,1,6]=>[6,1,8,7,4,2,5,3]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [2,3,5,4,1,8,7,6]=>[5,8,2,3,4,7,1,6]=>[6,1,7,4,3,2,8,5]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [2,3,5,4,1,7,8,6]=>[5,2,3,4,7,8,1,6]=>[6,1,8,7,4,3,2,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [4,3,2,5,1,8,7,6]=>[4,3,8,2,5,7,1,6]=>[6,1,7,5,2,8,3,4]=>[[1,3,6,8],[2,4,7],[5]]=>10 [4,3,2,5,1,7,8,6]=>[4,3,2,5,7,8,1,6]=>[6,1,8,7,5,2,3,4]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [3,4,2,5,1,8,7,6]=>[3,4,8,2,5,7,1,6]=>[6,1,7,5,2,8,4,3]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [2,4,3,5,1,8,7,6]=>[4,8,2,3,5,7,1,6]=>[6,1,7,5,3,2,8,4]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [2,4,3,5,1,7,8,6]=>[4,2,3,5,7,8,1,6]=>[6,1,8,7,5,3,2,4]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [3,2,4,5,1,8,7,6]=>[3,8,2,4,5,7,1,6]=>[6,1,7,5,4,2,8,3]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [2,3,4,5,1,7,8,6]=>[2,3,4,5,7,8,1,6]=>[6,1,8,7,5,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8]]=>6 [1,5,4,3,2,8,7,6]=>[5,4,8,3,7,1,2,6]=>[6,2,1,7,3,8,4,5]=>[[1,4,6,8],[2,5,7],[3]]=>9 [1,5,4,3,2,7,8,6]=>[5,4,3,7,8,1,2,6]=>[6,2,1,8,7,3,4,5]=>[[1,4,7,8],[2,5],[3,6]]=>8 [1,4,5,3,2,8,7,6]=>[4,5,8,3,7,1,2,6]=>[6,2,1,7,3,8,5,4]=>[[1,4,6],[2,5,7],[3,8]]=>8 [1,3,5,4,2,8,7,6]=>[5,8,3,4,7,1,2,6]=>[6,2,1,7,4,3,8,5]=>[[1,4,7],[2,5,8],[3,6]]=>7 [1,4,3,5,2,8,7,6]=>[4,8,3,5,7,1,2,6]=>[6,2,1,7,5,3,8,4]=>[[1,4,7],[2,5,8],[3,6]]=>7 [1,4,3,5,2,7,8,6]=>[4,3,5,7,8,1,2,6]=>[6,2,1,8,7,5,3,4]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [1,3,4,5,2,8,7,6]=>[8,3,4,5,7,1,2,6]=>[6,2,1,7,5,4,3,8]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [1,3,4,5,2,7,8,6]=>[3,4,5,7,8,1,2,6]=>[6,2,1,8,7,5,4,3]=>[[1,4],[2,5],[3,6],[7],[8]]=>5 [2,1,5,4,3,8,7,6]=>[5,8,2,4,7,1,3,6]=>[6,3,1,7,4,2,8,5]=>[[1,4,7],[2,5,8],[3,6]]=>7 [2,1,5,4,3,7,8,6]=>[5,2,4,7,8,1,3,6]=>[6,3,1,8,7,4,2,5]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [2,1,4,5,3,8,7,6]=>[8,2,4,5,7,1,3,6]=>[6,3,1,7,5,4,2,8]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [2,1,4,5,3,7,8,6]=>[2,4,5,7,8,1,3,6]=>[6,3,1,8,7,5,4,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>5 [1,2,5,4,3,8,7,6]=>[5,8,4,7,1,2,3,6]=>[6,3,2,1,7,4,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [1,2,5,4,3,7,8,6]=>[5,4,7,8,1,2,3,6]=>[6,3,2,1,8,7,4,5]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,2,4,5,3,7,8,6]=>[4,5,7,8,1,2,3,6]=>[6,3,2,1,8,7,5,4]=>[[1,5],[2,6],[3,7],[4,8]]=>4 [3,2,1,5,4,8,7,6]=>[3,8,2,5,7,1,4,6]=>[6,4,1,7,5,2,8,3]=>[[1,4,7],[2,5,8],[3,6]]=>7 [2,3,1,5,4,7,8,6]=>[2,3,5,7,8,1,4,6]=>[6,4,1,8,7,5,3,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>5 [1,3,2,5,4,8,7,6]=>[8,3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3,8]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,3,2,5,4,7,8,6]=>[3,5,7,8,1,2,4,6]=>[6,4,2,1,8,7,5,3]=>[[1,5],[2,6],[3,7],[4,8]]=>4 [2,1,3,5,4,7,8,6]=>[2,5,7,8,1,3,4,6]=>[6,4,3,1,8,7,5,2]=>[[1,5],[2,6],[3,7],[4,8]]=>4 [1,2,3,5,4,8,7,6]=>[8,5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,2,3,5,4,7,8,6]=>[5,7,8,1,2,3,4,6]=>[6,4,3,2,1,8,7,5]=>[[1,6],[2,7],[3,8],[4],[5]]=>3 [4,3,2,1,5,8,7,6]=>[4,3,8,2,7,1,5,6]=>[6,5,1,7,2,8,3,4]=>[[1,4,6,8],[2,5,7],[3]]=>9 [4,3,2,1,5,7,8,6]=>[4,3,2,7,8,1,5,6]=>[6,5,1,8,7,2,3,4]=>[[1,4,7,8],[2,5],[3,6]]=>8 [3,4,2,1,5,8,7,6]=>[3,4,8,2,7,1,5,6]=>[6,5,1,7,2,8,4,3]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [3,2,4,1,5,8,7,6]=>[3,8,2,4,7,1,5,6]=>[6,5,1,7,4,2,8,3]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [3,2,4,1,5,7,8,6]=>[3,2,4,7,8,1,5,6]=>[6,5,1,8,7,4,2,3]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [2,3,4,1,5,8,7,6]=>[8,2,3,4,7,1,5,6]=>[6,5,1,7,4,3,2,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [2,3,4,1,5,7,8,6]=>[2,3,4,7,8,1,5,6]=>[6,5,1,8,7,4,3,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>5 [1,4,3,2,5,8,7,6]=>[4,8,3,7,1,2,5,6]=>[6,5,2,1,7,3,8,4]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [1,4,3,2,5,7,8,6]=>[4,3,7,8,1,2,5,6]=>[6,5,2,1,8,7,3,4]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,3,4,2,5,7,8,6]=>[3,4,7,8,1,2,5,6]=>[6,5,2,1,8,7,4,3]=>[[1,5],[2,6],[3,7],[4,8]]=>4 [2,1,4,3,5,7,8,6]=>[2,4,7,8,1,3,5,6]=>[6,5,3,1,8,7,4,2]=>[[1,5],[2,6],[3,7],[4,8]]=>4 [1,2,4,3,5,7,8,6]=>[4,7,8,1,2,3,5,6]=>[6,5,3,2,1,8,7,4]=>[[1,6],[2,7],[3,8],[4],[5]]=>3 [3,2,1,4,5,8,7,6]=>[3,8,2,7,1,4,5,6]=>[6,5,4,1,7,2,8,3]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [3,2,1,4,5,7,8,6]=>[3,2,7,8,1,4,5,6]=>[6,5,4,1,8,7,2,3]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [2,3,1,4,5,7,8,6]=>[2,3,7,8,1,4,5,6]=>[6,5,4,1,8,7,3,2]=>[[1,5],[2,6],[3,7],[4],[8]]=>4 [1,3,2,4,5,8,7,6]=>[8,3,7,1,2,4,5,6]=>[6,5,4,2,1,7,3,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [2,1,3,4,5,7,8,6]=>[2,7,8,1,3,4,5,6]=>[6,5,4,3,1,8,7,2]=>[[1,6],[2,7],[3,8],[4],[5]]=>3 [1,2,3,4,5,8,7,6]=>[8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [1,2,3,4,5,7,8,6]=>[7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [6,5,4,3,2,1,8,7]=>[6,5,4,3,2,8,1,7]=>[7,1,8,2,3,4,5,6]=>[[1,3,5,6,7,8],[2,4]]=>16 [5,4,6,3,2,1,8,7]=>[5,4,6,3,2,8,1,7]=>[7,1,8,2,3,6,4,5]=>[[1,3,5,6,8],[2,4],[7]]=>14 [4,5,6,3,2,1,8,7]=>[4,5,6,3,2,8,1,7]=>[7,1,8,2,3,6,5,4]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [3,5,6,4,2,1,8,7]=>[5,6,3,4,2,8,1,7]=>[7,1,8,2,4,3,6,5]=>[[1,3,5,7],[2,4],[6,8]]=>12 [4,3,6,5,2,1,8,7]=>[4,6,3,5,2,8,1,7]=>[7,1,8,2,5,3,6,4]=>[[1,3,5,7],[2,4],[6,8]]=>12 [3,4,6,5,2,1,8,7]=>[6,3,4,5,2,8,1,7]=>[7,1,8,2,5,4,3,6]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [5,4,3,6,2,1,8,7]=>[5,4,3,6,2,8,1,7]=>[7,1,8,2,6,3,4,5]=>[[1,3,5,7,8],[2,4],[6]]=>13 [4,5,3,6,2,1,8,7]=>[4,5,3,6,2,8,1,7]=>[7,1,8,2,6,3,5,4]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [3,5,4,6,2,1,8,7]=>[5,3,4,6,2,8,1,7]=>[7,1,8,2,6,4,3,5]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [3,4,5,6,2,1,8,7]=>[3,4,5,6,2,8,1,7]=>[7,1,8,2,6,5,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [2,5,6,4,3,1,8,7]=>[5,6,4,2,3,8,1,7]=>[7,1,8,3,2,4,6,5]=>[[1,3,6,7],[2,4],[5,8]]=>11 [2,4,6,5,3,1,8,7]=>[6,4,5,2,3,8,1,7]=>[7,1,8,3,2,5,4,6]=>[[1,3,6,8],[2,4],[5,7]]=>10 [3,2,6,5,4,1,8,7]=>[6,3,5,2,4,8,1,7]=>[7,1,8,4,2,5,3,6]=>[[1,3,6,8],[2,4],[5,7]]=>10 [3,2,5,6,4,1,8,7]=>[3,5,6,2,4,8,1,7]=>[7,1,8,4,2,6,5,3]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [2,3,5,6,4,1,8,7]=>[5,6,2,3,4,8,1,7]=>[7,1,8,4,3,2,6,5]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [2,4,3,6,5,1,8,7]=>[4,6,2,3,5,8,1,7]=>[7,1,8,5,3,2,6,4]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [2,3,4,6,5,1,8,7]=>[6,2,3,4,5,8,1,7]=>[7,1,8,5,4,3,2,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [5,4,3,2,6,1,8,7]=>[5,4,3,2,6,8,1,7]=>[7,1,8,6,2,3,4,5]=>[[1,3,6,7,8],[2,4],[5]]=>12 [4,5,3,2,6,1,8,7]=>[4,5,3,2,6,8,1,7]=>[7,1,8,6,2,3,5,4]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [3,5,4,2,6,1,8,7]=>[5,3,4,2,6,8,1,7]=>[7,1,8,6,2,4,3,5]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [4,3,5,2,6,1,8,7]=>[4,3,5,2,6,8,1,7]=>[7,1,8,6,2,5,3,4]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [3,4,5,2,6,1,8,7]=>[3,4,5,2,6,8,1,7]=>[7,1,8,6,2,5,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [2,5,4,3,6,1,8,7]=>[5,4,2,3,6,8,1,7]=>[7,1,8,6,3,2,4,5]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [4,3,2,5,6,1,8,7]=>[4,3,2,5,6,8,1,7]=>[7,1,8,6,5,2,3,4]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [3,4,2,5,6,1,8,7]=>[3,4,2,5,6,8,1,7]=>[7,1,8,6,5,2,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [2,4,3,5,6,1,8,7]=>[4,2,3,5,6,8,1,7]=>[7,1,8,6,5,3,2,4]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [2,3,4,5,6,1,8,7]=>[2,3,4,5,6,8,1,7]=>[7,1,8,6,5,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8]]=>6 [1,6,5,4,3,2,8,7]=>[6,5,4,3,8,1,2,7]=>[7,2,1,8,3,4,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>11 [1,4,5,6,3,2,8,7]=>[4,5,6,3,8,1,2,7]=>[7,2,1,8,3,6,5,4]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [1,3,6,5,4,2,8,7]=>[6,5,3,4,8,1,2,7]=>[7,2,1,8,4,3,5,6]=>[[1,4,7,8],[2,5],[3,6]]=>8 [1,3,4,5,6,2,8,7]=>[3,4,5,6,8,1,2,7]=>[7,2,1,8,6,5,4,3]=>[[1,4],[2,5],[3,6],[7],[8]]=>5 [2,1,6,5,4,3,8,7]=>[6,5,2,4,8,1,3,7]=>[7,3,1,8,4,2,5,6]=>[[1,4,7,8],[2,5],[3,6]]=>8 [2,1,5,6,4,3,8,7]=>[5,6,2,4,8,1,3,7]=>[7,3,1,8,4,2,6,5]=>[[1,4,7],[2,5,8],[3,6]]=>7 [2,1,5,4,6,3,8,7]=>[5,2,4,6,8,1,3,7]=>[7,3,1,8,6,4,2,5]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [2,1,4,5,6,3,8,7]=>[2,4,5,6,8,1,3,7]=>[7,3,1,8,6,5,4,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>5 [1,2,6,5,4,3,8,7]=>[6,5,4,8,1,2,3,7]=>[7,3,2,1,8,4,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,2,4,6,5,3,8,7]=>[6,4,5,8,1,2,3,7]=>[7,3,2,1,8,5,4,6]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,2,4,5,6,3,8,7]=>[4,5,6,8,1,2,3,7]=>[7,3,2,1,8,6,5,4]=>[[1,5],[2,6],[3,7],[4,8]]=>4 [3,2,1,6,5,4,8,7]=>[3,6,2,5,8,1,4,7]=>[7,4,1,8,5,2,6,3]=>[[1,4,7],[2,5,8],[3,6]]=>7 [2,3,1,5,6,4,8,7]=>[2,3,5,6,8,1,4,7]=>[7,4,1,8,6,5,3,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>5 [1,3,2,6,5,4,8,7]=>[6,3,5,8,1,2,4,7]=>[7,4,2,1,8,5,3,6]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,3,2,5,6,4,8,7]=>[3,5,6,8,1,2,4,7]=>[7,4,2,1,8,6,5,3]=>[[1,5],[2,6],[3,7],[4,8]]=>4 [2,1,3,6,5,4,8,7]=>[6,2,5,8,1,3,4,7]=>[7,4,3,1,8,5,2,6]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [2,1,3,5,6,4,8,7]=>[2,5,6,8,1,3,4,7]=>[7,4,3,1,8,6,5,2]=>[[1,5],[2,6],[3,7],[4,8]]=>4 [1,2,3,6,5,4,8,7]=>[6,5,8,1,2,3,4,7]=>[7,4,3,2,1,8,5,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,2,3,5,6,4,8,7]=>[5,6,8,1,2,3,4,7]=>[7,4,3,2,1,8,6,5]=>[[1,6],[2,7],[3,8],[4],[5]]=>3 [4,3,2,1,6,5,8,7]=>[4,3,2,6,8,1,5,7]=>[7,5,1,8,6,2,3,4]=>[[1,4,7,8],[2,5],[3,6]]=>8 [3,4,2,1,6,5,8,7]=>[3,4,2,6,8,1,5,7]=>[7,5,1,8,6,2,4,3]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [2,4,3,1,6,5,8,7]=>[4,2,3,6,8,1,5,7]=>[7,5,1,8,6,3,2,4]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [2,3,4,1,6,5,8,7]=>[2,3,4,6,8,1,5,7]=>[7,5,1,8,6,4,3,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>5 [1,4,3,2,6,5,8,7]=>[4,3,6,8,1,2,5,7]=>[7,5,2,1,8,6,3,4]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,3,4,2,6,5,8,7]=>[3,4,6,8,1,2,5,7]=>[7,5,2,1,8,6,4,3]=>[[1,5],[2,6],[3,7],[4,8]]=>4 [2,1,4,3,6,5,8,7]=>[2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]=>[[1,5],[2,6],[3,7],[4,8]]=>4 [1,2,4,3,6,5,8,7]=>[4,6,8,1,2,3,5,7]=>[7,5,3,2,1,8,6,4]=>[[1,6],[2,7],[3,8],[4],[5]]=>3 [1,3,2,4,6,5,8,7]=>[3,6,8,1,2,4,5,7]=>[7,5,4,2,1,8,6,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>3 [2,1,3,4,6,5,8,7]=>[2,6,8,1,3,4,5,7]=>[7,5,4,3,1,8,6,2]=>[[1,6],[2,7],[3,8],[4],[5]]=>3 [1,2,3,4,6,5,8,7]=>[6,8,1,2,3,4,5,7]=>[7,5,4,3,2,1,8,6]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [5,4,3,2,1,6,8,7]=>[5,4,3,2,8,1,6,7]=>[7,6,1,8,2,3,4,5]=>[[1,4,6,7,8],[2,5],[3]]=>11 [4,3,5,2,1,6,8,7]=>[4,3,5,2,8,1,6,7]=>[7,6,1,8,2,5,3,4]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [3,4,5,2,1,6,8,7]=>[3,4,5,2,8,1,6,7]=>[7,6,1,8,2,5,4,3]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [2,5,4,3,1,6,8,7]=>[5,4,2,3,8,1,6,7]=>[7,6,1,8,3,2,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [3,2,5,4,1,6,8,7]=>[3,5,2,4,8,1,6,7]=>[7,6,1,8,4,2,5,3]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [2,3,5,4,1,6,8,7]=>[5,2,3,4,8,1,6,7]=>[7,6,1,8,4,3,2,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [4,3,2,5,1,6,8,7]=>[4,3,2,5,8,1,6,7]=>[7,6,1,8,5,2,3,4]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [2,4,3,5,1,6,8,7]=>[4,2,3,5,8,1,6,7]=>[7,6,1,8,5,3,2,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [3,2,4,5,1,6,8,7]=>[3,2,4,5,8,1,6,7]=>[7,6,1,8,5,4,2,3]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [2,3,4,5,1,6,8,7]=>[2,3,4,5,8,1,6,7]=>[7,6,1,8,5,4,3,2]=>[[1,4],[2,5],[3],[6],[7],[8]]=>5 [1,5,4,3,2,6,8,7]=>[5,4,3,8,1,2,6,7]=>[7,6,2,1,8,3,4,5]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,4,5,3,2,6,8,7]=>[4,5,3,8,1,2,6,7]=>[7,6,2,1,8,3,5,4]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [1,3,5,4,2,6,8,7]=>[5,3,4,8,1,2,6,7]=>[7,6,2,1,8,4,3,5]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,4,3,5,2,6,8,7]=>[4,3,5,8,1,2,6,7]=>[7,6,2,1,8,5,3,4]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,3,4,5,2,6,8,7]=>[3,4,5,8,1,2,6,7]=>[7,6,2,1,8,5,4,3]=>[[1,5],[2,6],[3,7],[4],[8]]=>4 [2,1,5,4,3,6,8,7]=>[5,2,4,8,1,3,6,7]=>[7,6,3,1,8,4,2,5]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,2,5,4,3,6,8,7]=>[5,4,8,1,2,3,6,7]=>[7,6,3,2,1,8,4,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,2,4,5,3,6,8,7]=>[4,5,8,1,2,3,6,7]=>[7,6,3,2,1,8,5,4]=>[[1,6],[2,7],[3,8],[4],[5]]=>3 [3,2,1,5,4,6,8,7]=>[3,2,5,8,1,4,6,7]=>[7,6,4,1,8,5,2,3]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [2,1,3,5,4,6,8,7]=>[2,5,8,1,3,4,6,7]=>[7,6,4,3,1,8,5,2]=>[[1,6],[2,7],[3,8],[4],[5]]=>3 [1,2,3,5,4,6,8,7]=>[5,8,1,2,3,4,6,7]=>[7,6,4,3,2,1,8,5]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [4,3,2,1,5,6,8,7]=>[4,3,2,8,1,5,6,7]=>[7,6,5,1,8,2,3,4]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [3,4,2,1,5,6,8,7]=>[3,4,2,8,1,5,6,7]=>[7,6,5,1,8,2,4,3]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [2,4,3,1,5,6,8,7]=>[4,2,3,8,1,5,6,7]=>[7,6,5,1,8,3,2,4]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [3,2,4,1,5,6,8,7]=>[3,2,4,8,1,5,6,7]=>[7,6,5,1,8,4,2,3]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [2,3,4,1,5,6,8,7]=>[2,3,4,8,1,5,6,7]=>[7,6,5,1,8,4,3,2]=>[[1,5],[2,6],[3],[4],[7],[8]]=>4 [1,3,4,2,5,6,8,7]=>[3,4,8,1,2,5,6,7]=>[7,6,5,2,1,8,4,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>3 [2,1,4,3,5,6,8,7]=>[2,4,8,1,3,5,6,7]=>[7,6,5,3,1,8,4,2]=>[[1,6],[2,7],[3,8],[4],[5]]=>3 [1,2,4,3,5,6,8,7]=>[4,8,1,2,3,5,6,7]=>[7,6,5,3,2,1,8,4]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [3,2,1,4,5,6,8,7]=>[3,2,8,1,4,5,6,7]=>[7,6,5,4,1,8,2,3]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [2,3,1,4,5,6,8,7]=>[2,3,8,1,4,5,6,7]=>[7,6,5,4,1,8,3,2]=>[[1,6],[2,7],[3],[4],[5],[8]]=>3 [1,3,2,4,5,6,8,7]=>[3,8,1,2,4,5,6,7]=>[7,6,5,4,2,1,8,3]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [2,1,3,4,5,6,8,7]=>[2,8,1,3,4,5,6,7]=>[7,6,5,4,3,1,8,2]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [1,2,3,4,5,6,8,7]=>[8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1 [5,7,6,4,3,2,1,8]=>[7,5,6,4,3,2,1,8]=>[8,1,2,3,4,6,5,7]=>[[1,3,4,5,6,8],[2],[7]]=>19 [4,7,6,5,3,2,1,8]=>[7,6,4,5,3,2,1,8]=>[8,1,2,3,5,4,6,7]=>[[1,3,4,5,7,8],[2],[6]]=>18 [4,6,7,5,3,2,1,8]=>[6,7,4,5,3,2,1,8]=>[8,1,2,3,5,4,7,6]=>[[1,3,4,5,7],[2,8],[6]]=>17 [5,4,7,6,3,2,1,8]=>[5,7,4,6,3,2,1,8]=>[8,1,2,3,6,4,7,5]=>[[1,3,4,5,7],[2,8],[6]]=>17 [4,5,7,6,3,2,1,8]=>[7,4,5,6,3,2,1,8]=>[8,1,2,3,6,5,4,7]=>[[1,3,4,5,8],[2],[6],[7]]=>16 [4,6,5,7,3,2,1,8]=>[6,4,5,7,3,2,1,8]=>[8,1,2,3,7,5,4,6]=>[[1,3,4,5,8],[2],[6],[7]]=>16 [3,7,6,5,4,2,1,8]=>[7,6,5,3,4,2,1,8]=>[8,1,2,4,3,5,6,7]=>[[1,3,4,6,7,8],[2],[5]]=>17 [3,5,7,6,4,2,1,8]=>[7,5,6,3,4,2,1,8]=>[8,1,2,4,3,6,5,7]=>[[1,3,4,6,8],[2,7],[5]]=>15 [3,4,7,6,5,2,1,8]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[[1,3,4,7,8],[2],[5],[6]]=>14 [5,4,3,7,6,2,1,8]=>[5,4,7,3,6,2,1,8]=>[8,1,2,6,3,7,4,5]=>[[1,3,4,6,8],[2,7],[5]]=>15 [4,5,3,7,6,2,1,8]=>[4,5,7,3,6,2,1,8]=>[8,1,2,6,3,7,5,4]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [3,5,4,7,6,2,1,8]=>[5,7,3,4,6,2,1,8]=>[8,1,2,6,4,3,7,5]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [4,3,5,7,6,2,1,8]=>[4,7,3,5,6,2,1,8]=>[8,1,2,6,5,3,7,4]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [4,6,5,3,7,2,1,8]=>[6,4,5,3,7,2,1,8]=>[8,1,2,7,3,5,4,6]=>[[1,3,4,6,8],[2],[5],[7]]=>15 [3,5,6,4,7,2,1,8]=>[5,6,3,4,7,2,1,8]=>[8,1,2,7,4,3,6,5]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [2,7,6,5,4,3,1,8]=>[7,6,5,4,2,3,1,8]=>[8,1,3,2,4,5,6,7]=>[[1,3,5,6,7,8],[2],[4]]=>16 [2,6,7,5,4,3,1,8]=>[6,7,5,4,2,3,1,8]=>[8,1,3,2,4,5,7,6]=>[[1,3,5,6,7],[2,8],[4]]=>15 [2,5,7,6,4,3,1,8]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[[1,3,5,6,8],[2,7],[4]]=>14 [2,4,7,6,5,3,1,8]=>[7,6,4,5,2,3,1,8]=>[8,1,3,2,5,4,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>13 [2,4,6,7,5,3,1,8]=>[6,7,4,5,2,3,1,8]=>[8,1,3,2,5,4,7,6]=>[[1,3,5,7],[2,6,8],[4]]=>12 [2,5,4,7,6,3,1,8]=>[5,7,4,6,2,3,1,8]=>[8,1,3,2,6,4,7,5]=>[[1,3,5,7],[2,6,8],[4]]=>12 [2,4,5,7,6,3,1,8]=>[7,4,5,6,2,3,1,8]=>[8,1,3,2,6,5,4,7]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [2,5,6,4,7,3,1,8]=>[5,6,4,7,2,3,1,8]=>[8,1,3,2,7,4,6,5]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [2,5,4,6,7,3,1,8]=>[5,4,6,7,2,3,1,8]=>[8,1,3,2,7,6,4,5]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [2,4,5,6,7,3,1,8]=>[4,5,6,7,2,3,1,8]=>[8,1,3,2,7,6,5,4]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [3,2,7,6,5,4,1,8]=>[7,6,3,5,2,4,1,8]=>[8,1,4,2,5,3,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>13 [3,2,6,7,5,4,1,8]=>[6,7,3,5,2,4,1,8]=>[8,1,4,2,5,3,7,6]=>[[1,3,5,7],[2,6,8],[4]]=>12 [3,2,5,7,6,4,1,8]=>[7,3,5,6,2,4,1,8]=>[8,1,4,2,6,5,3,7]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [3,2,6,5,7,4,1,8]=>[6,3,5,7,2,4,1,8]=>[8,1,4,2,7,5,3,6]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [2,3,7,6,5,4,1,8]=>[7,6,5,2,3,4,1,8]=>[8,1,4,3,2,5,6,7]=>[[1,3,6,7,8],[2],[4],[5]]=>12 [2,3,5,6,7,4,1,8]=>[5,6,7,2,3,4,1,8]=>[8,1,4,3,2,7,6,5]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [4,3,2,7,6,5,1,8]=>[4,7,3,6,2,5,1,8]=>[8,1,5,2,6,3,7,4]=>[[1,3,5,7],[2,6,8],[4]]=>12 [3,4,2,7,6,5,1,8]=>[7,3,4,6,2,5,1,8]=>[8,1,5,2,6,4,3,7]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [3,4,2,6,7,5,1,8]=>[3,4,6,7,2,5,1,8]=>[8,1,5,2,7,6,4,3]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [3,2,4,7,6,5,1,8]=>[7,3,6,2,4,5,1,8]=>[8,1,5,4,2,6,3,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [2,3,4,7,6,5,1,8]=>[7,6,2,3,4,5,1,8]=>[8,1,5,4,3,2,6,7]=>[[1,3,7,8],[2],[4],[5],[6]]=>9 [2,3,4,6,7,5,1,8]=>[6,7,2,3,4,5,1,8]=>[8,1,5,4,3,2,7,6]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [5,4,3,2,7,6,1,8]=>[5,4,3,7,2,6,1,8]=>[8,1,6,2,7,3,4,5]=>[[1,3,5,7,8],[2,6],[4]]=>13 [4,5,3,2,7,6,1,8]=>[4,5,3,7,2,6,1,8]=>[8,1,6,2,7,3,5,4]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [3,5,4,2,7,6,1,8]=>[5,3,4,7,2,6,1,8]=>[8,1,6,2,7,4,3,5]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [4,3,5,2,7,6,1,8]=>[4,3,5,7,2,6,1,8]=>[8,1,6,2,7,5,3,4]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [2,5,4,3,7,6,1,8]=>[5,4,7,2,3,6,1,8]=>[8,1,6,3,2,7,4,5]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [3,2,5,4,7,6,1,8]=>[3,5,7,2,4,6,1,8]=>[8,1,6,4,2,7,5,3]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [4,3,2,5,7,6,1,8]=>[4,3,7,2,5,6,1,8]=>[8,1,6,5,2,7,3,4]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [3,4,2,5,7,6,1,8]=>[3,4,7,2,5,6,1,8]=>[8,1,6,5,2,7,4,3]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [2,3,4,5,7,6,1,8]=>[7,2,3,4,5,6,1,8]=>[8,1,6,5,4,3,2,7]=>[[1,3,8],[2],[4],[5],[6],[7]]=>7 [3,6,5,4,2,7,1,8]=>[6,5,3,4,2,7,1,8]=>[8,1,7,2,4,3,5,6]=>[[1,3,5,7,8],[2],[4],[6]]=>13 [3,5,6,4,2,7,1,8]=>[5,6,3,4,2,7,1,8]=>[8,1,7,2,4,3,6,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [4,3,6,5,2,7,1,8]=>[4,6,3,5,2,7,1,8]=>[8,1,7,2,5,3,6,4]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [3,4,6,5,2,7,1,8]=>[6,3,4,5,2,7,1,8]=>[8,1,7,2,5,4,3,6]=>[[1,3,5,8],[2],[4],[6],[7]]=>11 [3,5,4,6,2,7,1,8]=>[5,3,4,6,2,7,1,8]=>[8,1,7,2,6,4,3,5]=>[[1,3,5,8],[2],[4],[6],[7]]=>11 [2,6,5,4,3,7,1,8]=>[6,5,4,2,3,7,1,8]=>[8,1,7,3,2,4,5,6]=>[[1,3,6,7,8],[2],[4],[5]]=>12 [2,4,6,5,3,7,1,8]=>[6,4,5,2,3,7,1,8]=>[8,1,7,3,2,5,4,6]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [2,4,5,6,3,7,1,8]=>[4,5,6,2,3,7,1,8]=>[8,1,7,3,2,6,5,4]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [3,2,6,5,4,7,1,8]=>[6,3,5,2,4,7,1,8]=>[8,1,7,4,2,5,3,6]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [2,3,5,6,4,7,1,8]=>[5,6,2,3,4,7,1,8]=>[8,1,7,4,3,2,6,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [2,4,3,6,5,7,1,8]=>[4,6,2,3,5,7,1,8]=>[8,1,7,5,3,2,6,4]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [3,2,4,6,5,7,1,8]=>[3,6,2,4,5,7,1,8]=>[8,1,7,5,4,2,6,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [2,3,4,6,5,7,1,8]=>[6,2,3,4,5,7,1,8]=>[8,1,7,5,4,3,2,6]=>[[1,3,8],[2],[4],[5],[6],[7]]=>7 [3,5,4,2,6,7,1,8]=>[5,3,4,2,6,7,1,8]=>[8,1,7,6,2,4,3,5]=>[[1,3,6,8],[2],[4],[5],[7]]=>10 [2,5,4,3,6,7,1,8]=>[5,4,2,3,6,7,1,8]=>[8,1,7,6,3,2,4,5]=>[[1,3,7,8],[2],[4],[5],[6]]=>9 [3,2,5,4,6,7,1,8]=>[3,5,2,4,6,7,1,8]=>[8,1,7,6,4,2,5,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [2,3,5,4,6,7,1,8]=>[5,2,3,4,6,7,1,8]=>[8,1,7,6,4,3,2,5]=>[[1,3,8],[2],[4],[5],[6],[7]]=>7 [2,4,3,5,6,7,1,8]=>[4,2,3,5,6,7,1,8]=>[8,1,7,6,5,3,2,4]=>[[1,3,8],[2],[4],[5],[6],[7]]=>7 [1,7,6,5,4,3,2,8]=>[7,6,5,4,3,1,2,8]=>[8,2,1,3,4,5,6,7]=>[[1,4,5,6,7,8],[2],[3]]=>15 [1,6,7,5,4,3,2,8]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[[1,4,5,6,7],[2,8],[3]]=>14 [1,5,7,6,4,3,2,8]=>[7,5,6,4,3,1,2,8]=>[8,2,1,3,4,6,5,7]=>[[1,4,5,6,8],[2,7],[3]]=>13 [1,6,5,7,4,3,2,8]=>[6,5,7,4,3,1,2,8]=>[8,2,1,3,4,7,5,6]=>[[1,4,5,6,8],[2,7],[3]]=>13 [1,5,4,7,6,3,2,8]=>[5,7,4,6,3,1,2,8]=>[8,2,1,3,6,4,7,5]=>[[1,4,5,7],[2,6,8],[3]]=>11 [1,4,5,7,6,3,2,8]=>[7,4,5,6,3,1,2,8]=>[8,2,1,3,6,5,4,7]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [1,5,6,4,7,3,2,8]=>[5,6,4,7,3,1,2,8]=>[8,2,1,3,7,4,6,5]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [1,5,4,6,7,3,2,8]=>[5,4,6,7,3,1,2,8]=>[8,2,1,3,7,6,4,5]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [1,4,5,6,7,3,2,8]=>[4,5,6,7,3,1,2,8]=>[8,2,1,3,7,6,5,4]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [1,3,6,7,5,4,2,8]=>[6,7,5,3,4,1,2,8]=>[8,2,1,4,3,5,7,6]=>[[1,4,6,7],[2,5,8],[3]]=>10 [1,3,5,7,6,4,2,8]=>[7,5,6,3,4,1,2,8]=>[8,2,1,4,3,6,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>9 [1,3,6,5,7,4,2,8]=>[6,5,7,3,4,1,2,8]=>[8,2,1,4,3,7,5,6]=>[[1,4,6,8],[2,5,7],[3]]=>9 [1,3,5,6,7,4,2,8]=>[5,6,7,3,4,1,2,8]=>[8,2,1,4,3,7,6,5]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [1,3,4,6,7,5,2,8]=>[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [1,4,5,3,7,6,2,8]=>[4,5,7,3,6,1,2,8]=>[8,2,1,6,3,7,5,4]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [1,6,5,4,3,7,2,8]=>[6,5,4,3,7,1,2,8]=>[8,2,1,7,3,4,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>11 [1,4,6,5,3,7,2,8]=>[6,4,5,3,7,1,2,8]=>[8,2,1,7,3,5,4,6]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [1,3,6,5,4,7,2,8]=>[6,5,3,4,7,1,2,8]=>[8,2,1,7,4,3,5,6]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [1,3,5,6,4,7,2,8]=>[5,6,3,4,7,1,2,8]=>[8,2,1,7,4,3,6,5]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [1,4,3,6,5,7,2,8]=>[4,6,3,5,7,1,2,8]=>[8,2,1,7,5,3,6,4]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [1,3,4,6,5,7,2,8]=>[6,3,4,5,7,1,2,8]=>[8,2,1,7,5,4,3,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [1,5,4,3,6,7,2,8]=>[5,4,3,6,7,1,2,8]=>[8,2,1,7,6,3,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [1,4,5,3,6,7,2,8]=>[4,5,3,6,7,1,2,8]=>[8,2,1,7,6,3,5,4]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [1,3,5,4,6,7,2,8]=>[5,3,4,6,7,1,2,8]=>[8,2,1,7,6,4,3,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [1,4,3,5,6,7,2,8]=>[4,3,5,6,7,1,2,8]=>[8,2,1,7,6,5,3,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [1,3,4,5,6,7,2,8]=>[3,4,5,6,7,1,2,8]=>[8,2,1,7,6,5,4,3]=>[[1,4],[2,5],[3],[6],[7],[8]]=>5 [2,1,6,7,5,4,3,8]=>[6,7,5,2,4,1,3,8]=>[8,3,1,4,2,5,7,6]=>[[1,4,6,7],[2,5,8],[3]]=>10 [2,1,6,5,4,7,3,8]=>[6,5,2,4,7,1,3,8]=>[8,3,1,7,4,2,5,6]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [2,1,5,6,4,7,3,8]=>[5,6,2,4,7,1,3,8]=>[8,3,1,7,4,2,6,5]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [2,1,4,6,5,7,3,8]=>[6,2,4,5,7,1,3,8]=>[8,3,1,7,5,4,2,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [2,1,5,4,6,7,3,8]=>[5,2,4,6,7,1,3,8]=>[8,3,1,7,6,4,2,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [2,1,4,5,6,7,3,8]=>[2,4,5,6,7,1,3,8]=>[8,3,1,7,6,5,4,2]=>[[1,4],[2,5],[3],[6],[7],[8]]=>5 [1,2,7,6,5,4,3,8]=>[7,6,5,4,1,2,3,8]=>[8,3,2,1,4,5,6,7]=>[[1,5,6,7,8],[2],[3],[4]]=>10 [1,2,6,7,5,4,3,8]=>[6,7,5,4,1,2,3,8]=>[8,3,2,1,4,5,7,6]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [1,2,5,7,6,4,3,8]=>[7,5,6,4,1,2,3,8]=>[8,3,2,1,4,6,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [1,2,5,6,7,4,3,8]=>[5,6,7,4,1,2,3,8]=>[8,3,2,1,4,7,6,5]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [1,2,4,7,6,5,3,8]=>[7,6,4,5,1,2,3,8]=>[8,3,2,1,5,4,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,2,4,6,7,5,3,8]=>[6,7,4,5,1,2,3,8]=>[8,3,2,1,5,4,7,6]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [1,2,5,4,7,6,3,8]=>[5,7,4,6,1,2,3,8]=>[8,3,2,1,6,4,7,5]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [1,2,4,5,7,6,3,8]=>[7,4,5,6,1,2,3,8]=>[8,3,2,1,6,5,4,7]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,2,5,6,4,7,3,8]=>[5,6,4,7,1,2,3,8]=>[8,3,2,1,7,4,6,5]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [1,2,4,5,6,7,3,8]=>[4,5,6,7,1,2,3,8]=>[8,3,2,1,7,6,5,4]=>[[1,5],[2,6],[3,7],[4],[8]]=>4 [3,2,1,7,6,5,4,8]=>[7,3,6,2,5,1,4,8]=>[8,4,1,5,2,6,3,7]=>[[1,4,6,8],[2,5,7],[3]]=>9 [3,2,1,6,7,5,4,8]=>[3,6,7,2,5,1,4,8]=>[8,4,1,5,2,7,6,3]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [3,2,1,5,7,6,4,8]=>[3,7,2,5,6,1,4,8]=>[8,4,1,6,5,2,7,3]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [3,2,1,6,5,7,4,8]=>[3,6,2,5,7,1,4,8]=>[8,4,1,7,5,2,6,3]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [2,3,1,7,6,5,4,8]=>[7,6,2,3,5,1,4,8]=>[8,4,1,5,3,2,6,7]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [2,3,1,6,5,7,4,8]=>[6,2,3,5,7,1,4,8]=>[8,4,1,7,5,3,2,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [2,3,1,5,6,7,4,8]=>[2,3,5,6,7,1,4,8]=>[8,4,1,7,6,5,3,2]=>[[1,4],[2,5],[3],[6],[7],[8]]=>5 [1,3,2,7,6,5,4,8]=>[7,6,3,5,1,2,4,8]=>[8,4,2,1,5,3,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,3,2,6,7,5,4,8]=>[6,7,3,5,1,2,4,8]=>[8,4,2,1,5,3,7,6]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [1,3,2,5,7,6,4,8]=>[7,3,5,6,1,2,4,8]=>[8,4,2,1,6,5,3,7]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,3,2,6,5,7,4,8]=>[6,3,5,7,1,2,4,8]=>[8,4,2,1,7,5,3,6]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,3,2,5,6,7,4,8]=>[3,5,6,7,1,2,4,8]=>[8,4,2,1,7,6,5,3]=>[[1,5],[2,6],[3,7],[4],[8]]=>4 [1,2,3,7,6,5,4,8]=>[7,6,5,1,2,3,4,8]=>[8,4,3,2,1,5,6,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [1,2,3,6,7,5,4,8]=>[6,7,5,1,2,3,4,8]=>[8,4,3,2,1,5,7,6]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [1,2,3,5,7,6,4,8]=>[7,5,6,1,2,3,4,8]=>[8,4,3,2,1,6,5,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,2,3,6,5,7,4,8]=>[6,5,7,1,2,3,4,8]=>[8,4,3,2,1,7,5,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,2,3,5,6,7,4,8]=>[5,6,7,1,2,3,4,8]=>[8,4,3,2,1,7,6,5]=>[[1,6],[2,7],[3,8],[4],[5]]=>3 [3,2,4,1,7,6,5,8]=>[3,7,2,4,6,1,5,8]=>[8,5,1,6,4,2,7,3]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [3,2,4,1,6,7,5,8]=>[3,2,4,6,7,1,5,8]=>[8,5,1,7,6,4,2,3]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [2,3,4,1,7,6,5,8]=>[7,2,3,4,6,1,5,8]=>[8,5,1,6,4,3,2,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [2,3,4,1,6,7,5,8]=>[2,3,4,6,7,1,5,8]=>[8,5,1,7,6,4,3,2]=>[[1,4],[2,5],[3],[6],[7],[8]]=>5 [1,4,3,2,7,6,5,8]=>[4,7,3,6,1,2,5,8]=>[8,5,2,1,6,3,7,4]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [1,4,3,2,6,7,5,8]=>[4,3,6,7,1,2,5,8]=>[8,5,2,1,7,6,3,4]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,3,4,2,7,6,5,8]=>[7,3,4,6,1,2,5,8]=>[8,5,2,1,6,4,3,7]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,3,4,2,6,7,5,8]=>[3,4,6,7,1,2,5,8]=>[8,5,2,1,7,6,4,3]=>[[1,5],[2,6],[3,7],[4],[8]]=>4 [2,1,4,3,7,6,5,8]=>[7,2,4,6,1,3,5,8]=>[8,5,3,1,6,4,2,7]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,2,4,3,7,6,5,8]=>[7,4,6,1,2,3,5,8]=>[8,5,3,2,1,6,4,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [3,2,1,4,7,6,5,8]=>[3,7,2,6,1,4,5,8]=>[8,5,4,1,6,2,7,3]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [3,2,1,4,6,7,5,8]=>[3,2,6,7,1,4,5,8]=>[8,5,4,1,7,6,2,3]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [2,3,1,4,6,7,5,8]=>[2,3,6,7,1,4,5,8]=>[8,5,4,1,7,6,3,2]=>[[1,5],[2,6],[3,7],[4],[8]]=>4 [1,3,2,4,7,6,5,8]=>[7,3,6,1,2,4,5,8]=>[8,5,4,2,1,6,3,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,3,2,4,6,7,5,8]=>[3,6,7,1,2,4,5,8]=>[8,5,4,2,1,7,6,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>3 [2,1,3,4,6,7,5,8]=>[2,6,7,1,3,4,5,8]=>[8,5,4,3,1,7,6,2]=>[[1,6],[2,7],[3,8],[4],[5]]=>3 [1,2,3,4,7,6,5,8]=>[7,6,1,2,3,4,5,8]=>[8,5,4,3,2,1,6,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [1,2,3,4,6,7,5,8]=>[6,7,1,2,3,4,5,8]=>[8,5,4,3,2,1,7,6]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [5,4,3,2,1,7,6,8]=>[5,4,3,2,7,1,6,8]=>[8,6,1,7,2,3,4,5]=>[[1,4,6,7,8],[2,5],[3]]=>11 [4,5,3,2,1,7,6,8]=>[4,5,3,2,7,1,6,8]=>[8,6,1,7,2,3,5,4]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [3,5,4,2,1,7,6,8]=>[5,3,4,2,7,1,6,8]=>[8,6,1,7,2,4,3,5]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [4,3,5,2,1,7,6,8]=>[4,3,5,2,7,1,6,8]=>[8,6,1,7,2,5,3,4]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [3,4,5,2,1,7,6,8]=>[3,4,5,2,7,1,6,8]=>[8,6,1,7,2,5,4,3]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [2,5,4,3,1,7,6,8]=>[5,4,2,3,7,1,6,8]=>[8,6,1,7,3,2,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [3,2,5,4,1,7,6,8]=>[3,5,2,4,7,1,6,8]=>[8,6,1,7,4,2,5,3]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [2,3,5,4,1,7,6,8]=>[5,2,3,4,7,1,6,8]=>[8,6,1,7,4,3,2,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [4,3,2,5,1,7,6,8]=>[4,3,2,5,7,1,6,8]=>[8,6,1,7,5,2,3,4]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [3,4,2,5,1,7,6,8]=>[3,4,2,5,7,1,6,8]=>[8,6,1,7,5,2,4,3]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [3,2,4,5,1,7,6,8]=>[3,2,4,5,7,1,6,8]=>[8,6,1,7,5,4,2,3]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [2,3,4,5,1,7,6,8]=>[2,3,4,5,7,1,6,8]=>[8,6,1,7,5,4,3,2]=>[[1,4],[2,5],[3],[6],[7],[8]]=>5 [1,5,4,3,2,7,6,8]=>[5,4,3,7,1,2,6,8]=>[8,6,2,1,7,3,4,5]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,4,5,3,2,7,6,8]=>[4,5,3,7,1,2,6,8]=>[8,6,2,1,7,3,5,4]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [2,1,5,4,3,7,6,8]=>[5,2,4,7,1,3,6,8]=>[8,6,3,1,7,4,2,5]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,2,5,4,3,7,6,8]=>[5,4,7,1,2,3,6,8]=>[8,6,3,2,1,7,4,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,2,4,5,3,7,6,8]=>[4,5,7,1,2,3,6,8]=>[8,6,3,2,1,7,5,4]=>[[1,6],[2,7],[3,8],[4],[5]]=>3 [2,3,1,5,4,7,6,8]=>[2,3,5,7,1,4,6,8]=>[8,6,4,1,7,5,3,2]=>[[1,5],[2,6],[3,7],[4],[8]]=>4 [1,3,2,5,4,7,6,8]=>[3,5,7,1,2,4,6,8]=>[8,6,4,2,1,7,5,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>3 [1,2,3,5,4,7,6,8]=>[5,7,1,2,3,4,6,8]=>[8,6,4,3,2,1,7,5]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [3,4,2,1,5,7,6,8]=>[3,4,2,7,1,5,6,8]=>[8,6,5,1,7,2,4,3]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [2,4,3,1,5,7,6,8]=>[4,2,3,7,1,5,6,8]=>[8,6,5,1,7,3,2,4]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [3,2,4,1,5,7,6,8]=>[3,2,4,7,1,5,6,8]=>[8,6,5,1,7,4,2,3]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [2,3,4,1,5,7,6,8]=>[2,3,4,7,1,5,6,8]=>[8,6,5,1,7,4,3,2]=>[[1,5],[2,6],[3],[4],[7],[8]]=>4 [1,3,4,2,5,7,6,8]=>[3,4,7,1,2,5,6,8]=>[8,6,5,2,1,7,4,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>3 [1,2,4,3,5,7,6,8]=>[4,7,1,2,3,5,6,8]=>[8,6,5,3,2,1,7,4]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [3,2,1,4,5,7,6,8]=>[3,2,7,1,4,5,6,8]=>[8,6,5,4,1,7,2,3]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,3,2,4,5,7,6,8]=>[3,7,1,2,4,5,6,8]=>[8,6,5,4,2,1,7,3]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [2,1,3,4,5,7,6,8]=>[2,7,1,3,4,5,6,8]=>[8,6,5,4,3,1,7,2]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [1,2,3,4,5,7,6,8]=>[7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1 [3,6,5,4,2,1,7,8]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[[1,4,5,7,8],[2],[3],[6]]=>12 [3,5,6,4,2,1,7,8]=>[5,6,3,4,2,1,7,8]=>[8,7,1,2,4,3,6,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [2,4,6,5,3,1,7,8]=>[6,4,5,2,3,1,7,8]=>[8,7,1,3,2,5,4,6]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [2,5,4,6,3,1,7,8]=>[5,4,6,2,3,1,7,8]=>[8,7,1,3,2,6,4,5]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [2,3,5,6,4,1,7,8]=>[5,6,2,3,4,1,7,8]=>[8,7,1,4,3,2,6,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [2,3,5,4,6,1,7,8]=>[5,2,3,4,6,1,7,8]=>[8,7,1,6,4,3,2,5]=>[[1,4,8],[2],[3],[5],[6],[7]]=>6 [2,4,3,5,6,1,7,8]=>[4,2,3,5,6,1,7,8]=>[8,7,1,6,5,3,2,4]=>[[1,4,8],[2],[3],[5],[6],[7]]=>6 [1,6,5,4,3,2,7,8]=>[6,5,4,3,1,2,7,8]=>[8,7,2,1,3,4,5,6]=>[[1,5,6,7,8],[2],[3],[4]]=>10 [1,4,6,5,3,2,7,8]=>[6,4,5,3,1,2,7,8]=>[8,7,2,1,3,5,4,6]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [1,4,5,6,3,2,7,8]=>[4,5,6,3,1,2,7,8]=>[8,7,2,1,3,6,5,4]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [1,3,6,5,4,2,7,8]=>[6,5,3,4,1,2,7,8]=>[8,7,2,1,4,3,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,3,5,6,4,2,7,8]=>[5,6,3,4,1,2,7,8]=>[8,7,2,1,4,3,6,5]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [1,3,4,6,5,2,7,8]=>[6,3,4,5,1,2,7,8]=>[8,7,2,1,5,4,3,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [1,5,4,3,6,2,7,8]=>[5,4,3,6,1,2,7,8]=>[8,7,2,1,6,3,4,5]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,3,4,5,6,2,7,8]=>[3,4,5,6,1,2,7,8]=>[8,7,2,1,6,5,4,3]=>[[1,5],[2,6],[3],[4],[7],[8]]=>4 [2,1,4,6,5,3,7,8]=>[6,2,4,5,1,3,7,8]=>[8,7,3,1,5,4,2,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [2,1,5,4,6,3,7,8]=>[5,2,4,6,1,3,7,8]=>[8,7,3,1,6,4,2,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [2,1,4,5,6,3,7,8]=>[2,4,5,6,1,3,7,8]=>[8,7,3,1,6,5,4,2]=>[[1,5],[2,6],[3],[4],[7],[8]]=>4 [1,2,6,5,4,3,7,8]=>[6,5,4,1,2,3,7,8]=>[8,7,3,2,1,4,5,6]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [1,2,5,6,4,3,7,8]=>[5,6,4,1,2,3,7,8]=>[8,7,3,2,1,4,6,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [1,2,4,6,5,3,7,8]=>[6,4,5,1,2,3,7,8]=>[8,7,3,2,1,5,4,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,2,5,4,6,3,7,8]=>[5,4,6,1,2,3,7,8]=>[8,7,3,2,1,6,4,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,2,4,5,6,3,7,8]=>[4,5,6,1,2,3,7,8]=>[8,7,3,2,1,6,5,4]=>[[1,6],[2,7],[3,8],[4],[5]]=>3 [3,2,1,6,5,4,7,8]=>[3,6,2,5,1,4,7,8]=>[8,7,4,1,5,2,6,3]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [3,2,1,5,6,4,7,8]=>[3,2,5,6,1,4,7,8]=>[8,7,4,1,6,5,2,3]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [2,3,1,5,6,4,7,8]=>[2,3,5,6,1,4,7,8]=>[8,7,4,1,6,5,3,2]=>[[1,5],[2,6],[3],[4],[7],[8]]=>4 [1,3,2,6,5,4,7,8]=>[6,3,5,1,2,4,7,8]=>[8,7,4,2,1,5,3,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,3,2,5,6,4,7,8]=>[3,5,6,1,2,4,7,8]=>[8,7,4,2,1,6,5,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>3 [2,1,3,6,5,4,7,8]=>[6,2,5,1,3,4,7,8]=>[8,7,4,3,1,5,2,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,2,3,6,5,4,7,8]=>[6,5,1,2,3,4,7,8]=>[8,7,4,3,2,1,5,6]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [1,2,3,5,6,4,7,8]=>[5,6,1,2,3,4,7,8]=>[8,7,4,3,2,1,6,5]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [4,3,2,1,6,5,7,8]=>[4,3,2,6,1,5,7,8]=>[8,7,5,1,6,2,3,4]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [2,4,3,1,6,5,7,8]=>[4,2,3,6,1,5,7,8]=>[8,7,5,1,6,3,2,4]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [3,2,4,1,6,5,7,8]=>[3,2,4,6,1,5,7,8]=>[8,7,5,1,6,4,2,3]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [2,3,4,1,6,5,7,8]=>[2,3,4,6,1,5,7,8]=>[8,7,5,1,6,4,3,2]=>[[1,5],[2,6],[3],[4],[7],[8]]=>4 [2,1,4,3,6,5,7,8]=>[2,4,6,1,3,5,7,8]=>[8,7,5,3,1,6,4,2]=>[[1,6],[2,7],[3,8],[4],[5]]=>3 [1,2,4,3,6,5,7,8]=>[4,6,1,2,3,5,7,8]=>[8,7,5,3,2,1,6,4]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [3,2,1,4,6,5,7,8]=>[3,2,6,1,4,5,7,8]=>[8,7,5,4,1,6,2,3]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [2,3,1,4,6,5,7,8]=>[2,3,6,1,4,5,7,8]=>[8,7,5,4,1,6,3,2]=>[[1,6],[2,7],[3],[4],[5],[8]]=>3 [1,3,2,4,6,5,7,8]=>[3,6,1,2,4,5,7,8]=>[8,7,5,4,2,1,6,3]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [2,1,3,4,6,5,7,8]=>[2,6,1,3,4,5,7,8]=>[8,7,5,4,3,1,6,2]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [1,2,3,4,6,5,7,8]=>[6,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,6]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1 [3,5,4,2,1,6,7,8]=>[5,3,4,2,1,6,7,8]=>[8,7,6,1,2,4,3,5]=>[[1,5,6,8],[2],[3],[4],[7]]=>8 [2,5,4,3,1,6,7,8]=>[5,4,2,3,1,6,7,8]=>[8,7,6,1,3,2,4,5]=>[[1,5,7,8],[2],[3],[4],[6]]=>7 [2,4,5,3,1,6,7,8]=>[4,5,2,3,1,6,7,8]=>[8,7,6,1,3,2,5,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [3,2,5,4,1,6,7,8]=>[3,5,2,4,1,6,7,8]=>[8,7,6,1,4,2,5,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [2,3,5,4,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[8,7,6,1,4,3,2,5]=>[[1,5,8],[2],[3],[4],[6],[7]]=>5 [2,4,3,5,1,6,7,8]=>[4,2,3,5,1,6,7,8]=>[8,7,6,1,5,3,2,4]=>[[1,5,8],[2],[3],[4],[6],[7]]=>5 [1,5,4,3,2,6,7,8]=>[5,4,3,1,2,6,7,8]=>[8,7,6,2,1,3,4,5]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [1,3,5,4,2,6,7,8]=>[5,3,4,1,2,6,7,8]=>[8,7,6,2,1,4,3,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,4,3,5,2,6,7,8]=>[4,3,5,1,2,6,7,8]=>[8,7,6,2,1,5,3,4]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [2,1,5,4,3,6,7,8]=>[5,2,4,1,3,6,7,8]=>[8,7,6,3,1,4,2,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,2,5,4,3,6,7,8]=>[5,4,1,2,3,6,7,8]=>[8,7,6,3,2,1,4,5]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [1,2,4,5,3,6,7,8]=>[4,5,1,2,3,6,7,8]=>[8,7,6,3,2,1,5,4]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [3,2,1,5,4,6,7,8]=>[3,2,5,1,4,6,7,8]=>[8,7,6,4,1,5,2,3]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [2,3,1,5,4,6,7,8]=>[2,3,5,1,4,6,7,8]=>[8,7,6,4,1,5,3,2]=>[[1,6],[2,7],[3],[4],[5],[8]]=>3 [1,3,2,5,4,6,7,8]=>[3,5,1,2,4,6,7,8]=>[8,7,6,4,2,1,5,3]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [2,1,3,5,4,6,7,8]=>[2,5,1,3,4,6,7,8]=>[8,7,6,4,3,1,5,2]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [1,2,3,5,4,6,7,8]=>[5,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,5]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1 [2,4,3,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[8,7,6,5,1,3,2,4]=>[[1,6,8],[2],[3],[4],[5],[7]]=>4 [1,4,3,2,5,6,7,8]=>[4,3,1,2,5,6,7,8]=>[8,7,6,5,2,1,3,4]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [1,3,4,2,5,6,7,8]=>[3,4,1,2,5,6,7,8]=>[8,7,6,5,2,1,4,3]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [2,1,4,3,5,6,7,8]=>[2,4,1,3,5,6,7,8]=>[8,7,6,5,3,1,4,2]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [1,2,4,3,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>[8,7,6,5,3,2,1,4]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1 [1,3,2,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>1 [1,2,3,4,8,6,7,5]=>[6,8,7,1,2,3,4,5]=>[5,4,3,2,1,7,8,6]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [1,2,3,5,8,6,7,4]=>[5,8,6,7,1,2,3,4]=>[4,3,2,1,7,6,8,5]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [1,2,3,7,5,6,4,8]=>[5,7,6,1,2,3,4,8]=>[8,4,3,2,1,6,7,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [1,2,3,7,5,6,8,4]=>[5,7,6,8,1,2,3,4]=>[4,3,2,1,8,6,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [1,2,3,8,5,6,7,4]=>[5,6,8,7,1,2,3,4]=>[4,3,2,1,7,8,6,5]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [1,2,3,8,5,7,6,4]=>[8,5,7,6,1,2,3,4]=>[4,3,2,1,6,7,5,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [1,2,3,8,6,5,7,4]=>[6,5,8,7,1,2,3,4]=>[4,3,2,1,7,8,5,6]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [1,2,3,8,6,7,5,4]=>[6,8,7,5,1,2,3,4]=>[4,3,2,1,5,7,8,6]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [1,2,4,3,8,6,7,5]=>[4,8,6,7,1,2,3,5]=>[5,3,2,1,7,6,8,4]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [1,2,4,5,8,6,7,3]=>[4,8,5,6,7,1,2,3]=>[3,2,1,7,6,5,8,4]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [1,2,4,7,5,6,3,8]=>[4,7,5,6,1,2,3,8]=>[8,3,2,1,6,5,7,4]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [1,2,4,7,5,6,8,3]=>[4,7,5,6,8,1,2,3]=>[3,2,1,8,6,5,7,4]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [1,2,4,8,5,6,7,3]=>[4,5,8,6,7,1,2,3]=>[3,2,1,7,6,8,5,4]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [1,2,5,4,8,6,7,3]=>[8,5,4,6,7,1,2,3]=>[3,2,1,7,6,4,5,8]=>[[1,4,7,8],[2,5],[3,6]]=>8 [1,2,6,4,5,3,7,8]=>[4,6,5,1,2,3,7,8]=>[8,7,3,2,1,5,6,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [1,2,6,4,5,7,8,3]=>[4,6,5,7,8,1,2,3]=>[3,2,1,8,7,5,6,4]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [1,2,6,4,5,8,7,3]=>[4,6,8,5,7,1,2,3]=>[3,2,1,7,5,8,6,4]=>[[1,4,6],[2,5,7],[3,8]]=>8 [1,2,7,4,5,6,8,3]=>[4,5,7,6,8,1,2,3]=>[3,2,1,8,6,7,5,4]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [1,2,8,4,5,6,7,3]=>[4,5,6,8,7,1,2,3]=>[3,2,1,7,8,6,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [1,2,7,4,6,5,3,8]=>[7,4,6,5,1,2,3,8]=>[8,3,2,1,5,6,4,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [1,2,7,4,6,5,8,3]=>[7,4,6,5,8,1,2,3]=>[3,2,1,8,5,6,4,7]=>[[1,4,6,8],[2,5],[3,7]]=>9 [1,2,8,4,6,7,5,3]=>[4,8,6,7,5,1,2,3]=>[3,2,1,5,7,6,8,4]=>[[1,4,5,7],[2,6],[3,8]]=>11 [1,2,8,4,7,6,5,3]=>[8,7,4,6,5,1,2,3]=>[3,2,1,5,6,4,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>12 [1,2,7,5,4,6,8,3]=>[5,4,7,6,8,1,2,3]=>[3,2,1,8,6,7,4,5]=>[[1,4,6],[2,5,8],[3,7]]=>9 [1,2,8,5,4,6,7,3]=>[5,4,6,8,7,1,2,3]=>[3,2,1,7,8,6,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>10 [1,2,8,5,4,7,6,3]=>[5,8,4,7,6,1,2,3]=>[3,2,1,6,7,4,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>11 [1,2,7,5,6,4,8,3]=>[5,7,6,4,8,1,2,3]=>[3,2,1,8,4,6,7,5]=>[[1,4,6,7],[2,5],[3,8]]=>10 [1,2,8,5,6,7,4,3]=>[5,6,8,7,4,1,2,3]=>[3,2,1,4,7,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>12 [1,2,8,6,5,4,7,3]=>[6,5,4,8,7,1,2,3]=>[3,2,1,7,8,4,5,6]=>[[1,4,5,8],[2,6,7],[3]]=>12 [1,2,8,6,5,7,4,3]=>[6,5,8,7,4,1,2,3]=>[3,2,1,4,7,8,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>13 [1,2,8,7,5,6,4,3]=>[5,8,7,6,4,1,2,3]=>[3,2,1,4,6,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>14 [1,3,2,8,5,7,6,4]=>[8,3,7,5,6,1,2,4]=>[4,2,1,6,5,7,3,8]=>[[1,4,6,8],[2,5],[3,7]]=>9 [1,3,2,8,6,7,5,4]=>[6,8,7,3,5,1,2,4]=>[4,2,1,5,3,7,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>10 [1,3,4,5,8,6,7,2]=>[3,8,4,5,6,7,1,2]=>[2,1,7,6,5,4,8,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [1,3,4,7,5,6,8,2]=>[3,7,4,5,6,8,1,2]=>[2,1,8,6,5,4,7,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [1,3,4,8,5,6,7,2]=>[3,4,8,5,6,7,1,2]=>[2,1,7,6,5,8,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [1,3,6,4,5,7,8,2]=>[3,6,4,5,7,8,1,2]=>[2,1,8,7,5,4,6,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [1,3,6,4,5,8,7,2]=>[3,6,8,4,5,7,1,2]=>[2,1,7,5,4,8,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [1,3,7,4,5,6,8,2]=>[3,4,7,5,6,8,1,2]=>[2,1,8,6,5,7,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [1,3,8,4,5,6,7,2]=>[3,4,5,8,6,7,1,2]=>[2,1,7,6,8,5,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [1,3,8,4,6,7,5,2]=>[3,8,6,7,4,5,1,2]=>[2,1,5,4,7,6,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>12 [1,3,8,5,4,6,7,2]=>[5,3,4,8,6,7,1,2]=>[2,1,7,6,8,4,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [1,3,8,5,4,7,6,2]=>[3,8,5,7,4,6,1,2]=>[2,1,6,4,7,5,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>12 [1,3,8,5,6,7,4,2]=>[5,6,8,7,3,4,1,2]=>[2,1,4,3,7,8,6,5]=>[[1,3,5,6],[2,4,7],[8]]=>13 [1,3,8,6,5,7,4,2]=>[6,5,8,7,3,4,1,2]=>[2,1,4,3,7,8,5,6]=>[[1,3,5,6],[2,4,7,8]]=>14 [1,3,8,7,5,6,4,2]=>[5,8,7,6,3,4,1,2]=>[2,1,4,3,6,7,8,5]=>[[1,3,5,6,7],[2,4,8]]=>15 [1,4,3,5,8,6,7,2]=>[8,4,3,5,6,7,1,2]=>[2,1,7,6,5,3,4,8]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [1,4,3,7,5,6,2,8]=>[7,4,3,5,6,1,2,8]=>[8,2,1,6,5,3,4,7]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [1,4,3,8,5,6,7,2]=>[4,3,8,5,6,7,1,2]=>[2,1,7,6,5,8,3,4]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [1,4,3,8,5,7,6,2]=>[4,8,7,3,5,6,1,2]=>[2,1,6,5,3,7,8,4]=>[[1,3,6,7],[2,4,8],[5]]=>11 [1,4,3,8,6,5,7,2]=>[4,8,6,3,5,7,1,2]=>[2,1,7,5,3,6,8,4]=>[[1,3,6,7],[2,4,8],[5]]=>11 [1,4,3,8,6,7,5,2]=>[4,8,6,7,3,5,1,2]=>[2,1,5,3,7,6,8,4]=>[[1,3,5,7],[2,4,6],[8]]=>12 [1,5,3,4,6,2,7,8]=>[3,5,4,6,1,2,7,8]=>[8,7,2,1,6,4,5,3]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [1,5,3,4,6,2,8,7]=>[3,5,4,6,8,1,2,7]=>[7,2,1,8,6,4,5,3]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [1,5,3,4,6,7,8,2]=>[3,5,4,6,7,8,1,2]=>[2,1,8,7,6,4,5,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [1,5,3,4,7,6,2,8]=>[3,5,7,4,6,1,2,8]=>[8,2,1,6,4,7,5,3]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [1,5,3,4,7,6,8,2]=>[3,5,7,4,6,8,1,2]=>[2,1,8,6,4,7,5,3]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [1,5,3,4,8,6,7,2]=>[5,3,8,4,6,7,1,2]=>[2,1,7,6,4,8,3,5]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [1,5,3,4,8,7,6,2]=>[8,3,5,7,4,6,1,2]=>[2,1,6,4,7,5,3,8]=>[[1,3,5,8],[2,4,6],[7]]=>11 [1,6,3,4,5,7,2,8]=>[3,4,6,5,7,1,2,8]=>[8,2,1,7,5,6,4,3]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [1,6,3,4,5,7,8,2]=>[3,4,6,5,7,8,1,2]=>[2,1,8,7,5,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [1,6,3,4,5,8,7,2]=>[3,4,6,8,5,7,1,2]=>[2,1,7,5,8,6,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [1,7,3,4,5,6,2,8]=>[3,4,5,7,6,1,2,8]=>[8,2,1,6,7,5,4,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [1,7,3,4,5,6,8,2]=>[3,4,5,7,6,8,1,2]=>[2,1,8,6,7,5,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [1,8,3,4,5,6,7,2]=>[3,4,5,6,8,7,1,2]=>[2,1,7,8,6,5,4,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [1,8,3,4,5,7,6,2]=>[8,3,4,5,7,6,1,2]=>[2,1,6,7,5,4,3,8]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [1,7,3,4,6,5,2,8]=>[7,3,4,6,5,1,2,8]=>[8,2,1,5,6,4,3,7]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [1,7,3,4,6,5,8,2]=>[7,3,4,6,5,8,1,2]=>[2,1,8,5,6,4,3,7]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [1,8,3,4,6,7,5,2]=>[3,8,4,6,7,5,1,2]=>[2,1,5,7,6,4,8,3]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [1,8,3,4,7,6,5,2]=>[8,7,3,4,6,5,1,2]=>[2,1,5,6,4,3,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>14 [1,6,3,5,4,2,7,8]=>[6,3,5,4,1,2,7,8]=>[8,7,2,1,4,5,3,6]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [1,6,3,5,4,8,7,2]=>[6,3,5,8,4,7,1,2]=>[2,1,7,4,8,5,3,6]=>[[1,3,5,8],[2,4,6],[7]]=>11 [1,7,3,5,4,6,2,8]=>[5,3,4,7,6,1,2,8]=>[8,2,1,6,7,4,3,5]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [1,8,3,5,4,6,7,2]=>[5,3,4,6,8,7,1,2]=>[2,1,7,8,6,4,3,5]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [1,8,3,5,4,7,6,2]=>[5,8,3,4,7,6,1,2]=>[2,1,6,7,4,3,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>13 [1,7,3,5,6,4,8,2]=>[3,7,5,6,4,8,1,2]=>[2,1,8,4,6,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [1,8,3,6,5,4,7,2]=>[6,5,3,4,8,7,1,2]=>[2,1,7,8,4,3,5,6]=>[[1,3,4,8],[2,5,7],[6]]=>14 [1,8,3,7,6,5,4,2]=>[8,7,6,3,5,4,1,2]=>[2,1,4,5,3,6,7,8]=>[[1,3,4,6,7,8],[2,5]]=>17 [1,6,4,3,5,2,7,8]=>[4,3,6,5,1,2,7,8]=>[8,7,2,1,5,6,3,4]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [1,6,4,3,5,8,7,2]=>[4,3,6,8,5,7,1,2]=>[2,1,7,5,8,6,3,4]=>[[1,3,5],[2,4,6],[7,8]]=>11 [1,8,4,3,5,6,7,2]=>[4,3,5,6,8,7,1,2]=>[2,1,7,8,6,5,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [1,8,4,3,5,7,6,2]=>[4,8,3,5,7,6,1,2]=>[2,1,6,7,5,3,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>13 [1,7,4,3,6,5,2,8]=>[4,7,3,6,5,1,2,8]=>[8,2,1,5,6,3,7,4]=>[[1,4,5,7],[2,6,8],[3]]=>11 [1,7,4,3,6,5,8,2]=>[4,7,3,6,5,8,1,2]=>[2,1,8,5,6,3,7,4]=>[[1,3,5,7],[2,4,8],[6]]=>12 [1,8,4,3,6,5,7,2]=>[4,6,3,5,8,7,1,2]=>[2,1,7,8,5,3,6,4]=>[[1,3,4],[2,5,7],[6,8]]=>13 [1,8,4,3,7,6,5,2]=>[8,4,7,3,6,5,1,2]=>[2,1,5,6,3,7,4,8]=>[[1,3,4,6,8],[2,5,7]]=>15 [1,6,4,5,3,2,7,8]=>[4,6,5,3,1,2,7,8]=>[8,7,2,1,3,5,6,4]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [1,6,4,5,3,2,8,7]=>[4,6,5,3,8,1,2,7]=>[7,2,1,8,3,5,6,4]=>[[1,4,6,7],[2,5],[3,8]]=>10 [1,6,4,5,3,8,7,2]=>[4,6,5,8,3,7,1,2]=>[2,1,7,3,8,5,6,4]=>[[1,3,5,7],[2,4,6],[8]]=>12 [1,7,4,5,3,6,8,2]=>[4,5,3,7,6,8,1,2]=>[2,1,8,6,7,3,5,4]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [1,8,4,5,3,7,6,2]=>[4,5,8,3,7,6,1,2]=>[2,1,6,7,3,8,5,4]=>[[1,3,4,6],[2,5,7],[8]]=>14 [1,7,4,5,6,3,8,2]=>[4,5,7,6,3,8,1,2]=>[2,1,8,3,6,7,5,4]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [1,8,4,5,6,3,7,2]=>[4,5,6,3,8,7,1,2]=>[2,1,7,8,3,6,5,4]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [1,8,4,5,6,7,3,2]=>[4,5,6,8,7,3,1,2]=>[2,1,3,7,8,6,5,4]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [1,8,4,5,7,6,3,2]=>[8,4,5,7,6,3,1,2]=>[2,1,3,6,7,5,4,8]=>[[1,3,4,5,8],[2,6],[7]]=>16 [1,8,4,6,5,3,7,2]=>[6,4,5,3,8,7,1,2]=>[2,1,7,8,3,5,4,6]=>[[1,3,4,8],[2,5,6],[7]]=>15 [1,7,5,4,3,6,2,8]=>[5,4,3,7,6,1,2,8]=>[8,2,1,6,7,3,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>12 [1,7,5,4,3,6,8,2]=>[5,4,3,7,6,8,1,2]=>[2,1,8,6,7,3,4,5]=>[[1,3,5,8],[2,4,7],[6]]=>13 [1,8,5,4,3,6,7,2]=>[5,4,3,6,8,7,1,2]=>[2,1,7,8,6,3,4,5]=>[[1,3,4,8],[2,5,7],[6]]=>14 [1,7,5,4,6,3,8,2]=>[5,4,7,6,3,8,1,2]=>[2,1,8,3,6,7,4,5]=>[[1,3,5,6],[2,4,8],[7]]=>14 [1,8,5,4,6,3,7,2]=>[5,4,6,3,8,7,1,2]=>[2,1,7,8,3,6,4,5]=>[[1,3,4,8],[2,5,6],[7]]=>15 [1,8,5,4,6,7,3,2]=>[5,4,6,8,7,3,1,2]=>[2,1,3,7,8,6,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>16 [1,8,5,4,7,6,3,2]=>[5,8,4,7,6,3,1,2]=>[2,1,3,6,7,4,8,5]=>[[1,3,4,5,7],[2,6,8]]=>17 [1,7,6,4,5,3,2,8]=>[4,7,6,5,3,1,2,8]=>[8,2,1,3,5,6,7,4]=>[[1,4,5,6,7],[2,8],[3]]=>14 [1,7,6,4,5,3,8,2]=>[4,7,6,5,3,8,1,2]=>[2,1,8,3,5,6,7,4]=>[[1,3,5,6,7],[2,4],[8]]=>15 [1,8,6,4,5,7,3,2]=>[4,6,5,8,7,3,1,2]=>[2,1,3,7,8,5,6,4]=>[[1,3,4,5],[2,6,7],[8]]=>17 [1,8,7,4,5,6,3,2]=>[4,5,8,7,6,3,1,2]=>[2,1,3,6,7,8,5,4]=>[[1,3,4,5,6],[2,7],[8]]=>18 [1,8,6,5,4,3,7,2]=>[6,5,4,3,8,7,1,2]=>[2,1,7,8,3,4,5,6]=>[[1,3,4,7,8],[2,5,6]]=>17 [1,8,6,5,4,7,3,2]=>[6,5,4,8,7,3,1,2]=>[2,1,3,7,8,4,5,6]=>[[1,3,4,5,8],[2,6,7]]=>18 [1,8,7,5,4,6,3,2]=>[5,4,8,7,6,3,1,2]=>[2,1,3,6,7,8,4,5]=>[[1,3,4,5,6],[2,7,8]]=>19 [1,8,7,5,6,4,3,2]=>[5,8,7,6,4,3,1,2]=>[2,1,3,4,6,7,8,5]=>[[1,3,4,5,6,7],[2,8]]=>20 [2,1,3,5,8,6,7,4]=>[2,8,5,6,7,1,3,4]=>[4,3,1,7,6,5,8,2]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [2,1,3,7,5,6,8,4]=>[2,7,5,6,8,1,3,4]=>[4,3,1,8,6,5,7,2]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [2,1,3,8,5,6,7,4]=>[2,5,8,6,7,1,3,4]=>[4,3,1,7,6,8,5,2]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [2,1,3,8,6,7,5,4]=>[6,8,7,2,5,1,3,4]=>[4,3,1,5,2,7,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>10 [2,1,4,5,8,6,7,3]=>[2,8,4,5,6,7,1,3]=>[3,1,7,6,5,4,8,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [2,1,4,8,5,6,7,3]=>[2,4,8,5,6,7,1,3]=>[3,1,7,6,5,8,4,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [2,1,4,8,5,7,6,3]=>[8,2,7,4,5,6,1,3]=>[3,1,6,5,4,7,2,8]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [2,1,6,4,5,7,3,8]=>[2,6,4,5,7,1,3,8]=>[8,3,1,7,5,4,6,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [2,1,6,4,5,8,7,3]=>[2,6,8,4,5,7,1,3]=>[3,1,7,5,4,8,6,2]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [2,1,7,4,6,5,8,3]=>[7,2,6,4,5,8,1,3]=>[3,1,8,5,4,6,2,7]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [2,1,8,4,6,7,5,3]=>[2,8,6,7,4,5,1,3]=>[3,1,5,4,7,6,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>12 [2,1,8,5,4,7,6,3]=>[2,8,5,7,4,6,1,3]=>[3,1,6,4,7,5,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>12 [2,1,8,5,6,7,4,3]=>[5,6,8,7,2,4,1,3]=>[3,1,4,2,7,8,6,5]=>[[1,3,5,6],[2,4,7],[8]]=>13 [2,1,8,5,7,6,4,3]=>[8,5,7,6,2,4,1,3]=>[3,1,4,2,6,7,5,8]=>[[1,3,5,6,8],[2,4,7]]=>14 [2,1,8,6,5,7,4,3]=>[6,5,8,7,2,4,1,3]=>[3,1,4,2,7,8,5,6]=>[[1,3,5,6],[2,4,7,8]]=>14 [2,1,8,7,5,6,4,3]=>[5,8,7,6,2,4,1,3]=>[3,1,4,2,6,7,8,5]=>[[1,3,5,6,7],[2,4,8]]=>15 [2,3,1,7,5,6,8,4]=>[2,7,3,5,6,8,1,4]=>[4,1,8,6,5,3,7,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [2,3,1,8,5,6,7,4]=>[2,3,8,5,6,7,1,4]=>[4,1,7,6,5,8,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [2,3,1,8,6,5,7,4]=>[8,2,6,3,5,7,1,4]=>[4,1,7,5,3,6,2,8]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [2,3,1,8,6,7,5,4]=>[6,8,7,2,3,5,1,4]=>[4,1,5,3,2,7,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>11 [2,3,4,5,8,6,7,1]=>[2,8,3,4,5,6,7,1]=>[1,7,6,5,4,3,8,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>9 [2,3,4,7,5,6,8,1]=>[2,7,3,4,5,6,8,1]=>[1,8,6,5,4,3,7,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>9 [2,3,4,8,5,6,7,1]=>[2,3,8,4,5,6,7,1]=>[1,7,6,5,4,8,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>10 [2,3,4,8,6,5,7,1]=>[8,2,6,3,4,5,7,1]=>[1,7,5,4,3,6,2,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>11 [2,3,4,8,6,7,5,1]=>[6,8,7,2,3,4,5,1]=>[1,5,4,3,2,7,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [2,3,6,4,5,1,8,7]=>[2,6,3,4,5,8,1,7]=>[7,1,8,5,4,3,6,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [2,3,6,4,5,7,8,1]=>[2,6,3,4,5,7,8,1]=>[1,8,7,5,4,3,6,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>9 [2,3,6,4,5,8,7,1]=>[2,6,8,3,4,5,7,1]=>[1,7,5,4,3,8,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [2,3,7,4,5,6,8,1]=>[2,3,7,4,5,6,8,1]=>[1,8,6,5,4,7,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>10 [2,3,8,4,5,6,7,1]=>[2,3,4,8,5,6,7,1]=>[1,7,6,5,8,4,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>11 [2,3,7,4,6,5,1,8]=>[7,2,6,3,4,5,1,8]=>[8,1,5,4,3,6,2,7]=>[[1,3,6,8],[2],[4],[5],[7]]=>10 [2,3,7,4,6,5,8,1]=>[7,2,6,3,4,5,8,1]=>[1,8,5,4,3,6,2,7]=>[[1,2,6,8],[3],[4],[5],[7]]=>11 [2,3,8,4,7,6,5,1]=>[8,7,2,6,3,4,5,1]=>[1,5,4,3,6,2,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>14 [2,3,7,5,4,6,1,8]=>[7,2,5,3,4,6,1,8]=>[8,1,6,4,3,5,2,7]=>[[1,3,6,8],[2],[4],[5],[7]]=>10 [2,3,8,5,4,6,7,1]=>[8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>12 [2,3,8,5,4,7,6,1]=>[2,8,5,7,3,4,6,1]=>[1,6,4,3,7,5,8,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [2,3,7,5,6,4,1,8]=>[5,7,6,2,3,4,1,8]=>[8,1,4,3,2,6,7,5]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [2,3,7,5,6,4,8,1]=>[5,7,6,2,3,4,8,1]=>[1,8,4,3,2,6,7,5]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [2,3,8,5,6,4,7,1]=>[2,8,5,6,3,4,7,1]=>[1,7,4,3,6,5,8,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [2,3,8,5,7,6,4,1]=>[8,5,7,6,2,3,4,1]=>[1,4,3,2,6,7,5,8]=>[[1,2,5,6,8],[3,7],[4]]=>15 [2,3,8,6,5,7,4,1]=>[6,5,8,7,2,3,4,1]=>[1,4,3,2,7,8,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>15 [2,3,8,7,5,6,4,1]=>[5,8,7,6,2,3,4,1]=>[1,4,3,2,6,7,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>16 [2,4,3,5,8,6,7,1]=>[8,4,2,3,5,6,7,1]=>[1,7,6,5,3,2,4,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>10 [2,4,3,7,5,6,8,1]=>[7,4,2,3,5,6,8,1]=>[1,8,6,5,3,2,4,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>10 [2,4,3,8,6,7,5,1]=>[4,8,6,7,2,3,5,1]=>[1,5,3,2,7,6,8,4]=>[[1,2,5,7],[3,6],[4,8]]=>13 [2,5,3,4,1,6,7,8]=>[2,5,3,4,1,6,7,8]=>[8,7,6,1,4,3,5,2]=>[[1,5,7],[2],[3],[4],[6],[8]]=>6 [2,5,3,4,1,7,8,6]=>[2,5,3,4,7,8,1,6]=>[6,1,8,7,4,3,5,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [2,5,3,4,6,1,8,7]=>[2,5,3,4,6,8,1,7]=>[7,1,8,6,4,3,5,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [2,5,3,4,6,7,1,8]=>[2,5,3,4,6,7,1,8]=>[8,1,7,6,4,3,5,2]=>[[1,3,7],[2],[4],[5],[6],[8]]=>8 [2,5,3,4,6,7,8,1]=>[2,5,3,4,6,7,8,1]=>[1,8,7,6,4,3,5,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>9 [2,5,3,4,6,8,7,1]=>[2,5,8,3,4,6,7,1]=>[1,7,6,4,3,8,5,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [2,5,3,4,7,6,1,8]=>[2,5,7,3,4,6,1,8]=>[8,1,6,4,3,7,5,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [2,5,3,4,8,6,7,1]=>[5,2,8,3,4,6,7,1]=>[1,7,6,4,3,8,2,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [2,5,3,4,8,7,6,1]=>[8,2,5,7,3,4,6,1]=>[1,6,4,3,7,5,2,8]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [2,6,3,4,5,7,8,1]=>[2,3,6,4,5,7,8,1]=>[1,8,7,5,4,6,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>10 [2,6,3,4,5,8,7,1]=>[2,3,6,8,4,5,7,1]=>[1,7,5,4,8,6,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [2,8,3,4,5,6,7,1]=>[2,3,4,5,8,6,7,1]=>[1,7,6,8,5,4,3,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>12 [2,8,3,4,5,7,6,1]=>[8,2,3,4,7,5,6,1]=>[1,6,5,7,4,3,2,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>13 [2,6,3,5,4,1,8,7]=>[6,2,5,3,4,8,1,7]=>[7,1,8,4,3,5,2,6]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [2,6,3,5,4,7,8,1]=>[6,2,5,3,4,7,8,1]=>[1,8,7,4,3,5,2,6]=>[[1,2,6,8],[3],[4],[5],[7]]=>11 [2,6,3,5,4,8,7,1]=>[6,2,5,8,3,4,7,1]=>[1,7,4,3,8,5,2,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [2,7,3,5,4,6,1,8]=>[7,2,3,5,4,6,1,8]=>[8,1,6,4,5,3,2,7]=>[[1,3,5,8],[2],[4],[6],[7]]=>11 [2,8,3,5,4,6,7,1]=>[5,2,3,4,8,6,7,1]=>[1,7,6,8,4,3,2,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [2,8,3,5,4,7,6,1]=>[2,8,3,5,7,4,6,1]=>[1,6,4,7,5,3,8,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [2,7,3,5,6,4,1,8]=>[2,7,5,6,3,4,1,8]=>[8,1,4,3,6,5,7,2]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [2,7,3,5,6,4,8,1]=>[2,7,5,6,3,4,8,1]=>[1,8,4,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [2,8,3,5,6,7,4,1]=>[2,5,8,6,7,3,4,1]=>[1,4,3,7,6,8,5,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [2,8,3,5,7,6,4,1]=>[8,2,7,5,6,3,4,1]=>[1,4,3,6,5,7,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>16 [2,7,3,6,5,4,1,8]=>[7,6,2,5,3,4,1,8]=>[8,1,4,3,5,2,6,7]=>[[1,3,5,7,8],[2],[4],[6]]=>13 [2,8,3,6,5,4,7,1]=>[8,6,2,3,5,4,7,1]=>[1,7,4,5,3,2,6,8]=>[[1,2,4,7,8],[3],[5],[6]]=>15 [2,8,3,7,5,6,4,1]=>[2,8,7,5,6,3,4,1]=>[1,4,3,6,5,7,8,2]=>[[1,2,4,6,7],[3,5],[8]]=>17 [2,5,4,3,8,6,7,1]=>[5,8,4,2,3,6,7,1]=>[1,7,6,3,2,4,8,5]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [2,6,4,3,5,1,8,7]=>[6,2,4,3,5,8,1,7]=>[7,1,8,5,3,4,2,6]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [2,6,4,3,5,7,8,1]=>[6,2,4,3,5,7,8,1]=>[1,8,7,5,3,4,2,6]=>[[1,2,6,8],[3],[4],[5],[7]]=>11 [2,6,4,3,5,8,7,1]=>[6,2,4,8,3,5,7,1]=>[1,7,5,3,8,4,2,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [2,7,4,3,5,6,8,1]=>[4,2,3,7,5,6,8,1]=>[1,8,6,5,7,3,2,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [2,7,4,3,6,5,1,8]=>[2,7,4,6,3,5,1,8]=>[8,1,5,3,6,4,7,2]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [2,8,4,3,6,7,5,1]=>[2,4,8,6,7,3,5,1]=>[1,5,3,7,6,8,4,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [2,8,4,3,7,6,5,1]=>[8,2,7,4,6,3,5,1]=>[1,5,3,6,4,7,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>16 [2,6,4,5,3,1,7,8]=>[4,6,5,2,3,1,7,8]=>[8,7,1,3,2,5,6,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [2,6,4,5,3,7,8,1]=>[4,6,5,2,3,7,8,1]=>[1,8,7,3,2,5,6,4]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [2,6,4,5,3,8,7,1]=>[4,6,5,8,2,3,7,1]=>[1,7,3,2,8,5,6,4]=>[[1,2,5,7],[3,6],[4,8]]=>13 [2,7,4,5,3,6,1,8]=>[2,7,4,5,3,6,1,8]=>[8,1,6,3,5,4,7,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [2,8,4,5,3,6,7,1]=>[4,5,2,3,8,6,7,1]=>[1,7,6,8,3,2,5,4]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [2,7,4,5,6,3,1,8]=>[4,5,7,6,2,3,1,8]=>[8,1,3,2,6,7,5,4]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [2,7,4,5,6,3,8,1]=>[4,5,7,6,2,3,8,1]=>[1,8,3,2,6,7,5,4]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [2,7,4,6,5,3,1,8]=>[7,4,6,5,2,3,1,8]=>[8,1,3,2,5,6,4,7]=>[[1,3,5,6,8],[2,7],[4]]=>14 [2,7,4,6,5,3,8,1]=>[7,4,6,5,2,3,8,1]=>[1,8,3,2,5,6,4,7]=>[[1,2,5,6,8],[3,7],[4]]=>15 [2,8,4,6,5,3,7,1]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[[1,2,4,6,8],[3],[5],[7]]=>16 [2,8,4,6,5,7,3,1]=>[6,4,5,8,7,2,3,1]=>[1,3,2,7,8,5,4,6]=>[[1,2,4,5],[3,6,8],[7]]=>17 [2,8,4,7,5,6,3,1]=>[4,8,5,7,6,2,3,1]=>[1,3,2,6,7,5,8,4]=>[[1,2,4,5,7],[3,6],[8]]=>18 [2,8,4,7,6,5,3,1]=>[8,7,4,6,5,2,3,1]=>[1,3,2,5,6,4,7,8]=>[[1,2,4,5,7,8],[3,6]]=>19 [2,7,5,4,3,6,1,8]=>[7,5,2,4,3,6,1,8]=>[8,1,6,3,4,2,5,7]=>[[1,3,5,7,8],[2],[4],[6]]=>13 [2,7,5,4,3,6,8,1]=>[7,5,2,4,3,6,8,1]=>[1,8,6,3,4,2,5,7]=>[[1,2,5,7,8],[3],[4],[6]]=>14 [2,8,5,4,3,6,7,1]=>[5,4,2,3,8,6,7,1]=>[1,7,6,8,3,2,4,5]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [2,8,5,4,7,6,3,1]=>[5,8,4,7,6,2,3,1]=>[1,3,2,6,7,4,8,5]=>[[1,2,4,5,7],[3,6,8]]=>18 [2,7,6,4,5,3,8,1]=>[4,7,6,5,2,3,8,1]=>[1,8,3,2,5,6,7,4]=>[[1,2,5,6,7],[3,8],[4]]=>16 [2,8,6,4,5,7,3,1]=>[4,6,5,8,7,2,3,1]=>[1,3,2,7,8,5,6,4]=>[[1,2,4,5],[3,6,7],[8]]=>18 [2,8,7,4,5,6,3,1]=>[4,5,8,7,6,2,3,1]=>[1,3,2,6,7,8,5,4]=>[[1,2,4,5,6],[3,7],[8]]=>19 [2,8,7,4,6,5,3,1]=>[8,4,7,6,5,2,3,1]=>[1,3,2,5,6,7,4,8]=>[[1,2,4,5,6,8],[3,7]]=>20 [2,8,6,5,4,3,7,1]=>[8,6,5,2,4,3,7,1]=>[1,7,3,4,2,5,6,8]=>[[1,2,4,6,7,8],[3],[5]]=>18 [2,8,7,5,4,6,3,1]=>[5,4,8,7,6,2,3,1]=>[1,3,2,6,7,8,4,5]=>[[1,2,4,5,6],[3,7,8]]=>20 [2,8,7,5,6,4,3,1]=>[5,8,7,6,4,2,3,1]=>[1,3,2,4,6,7,8,5]=>[[1,2,4,5,6,7],[3,8]]=>21 [3,2,1,7,5,6,4,8]=>[7,3,2,5,6,1,4,8]=>[8,4,1,6,5,2,3,7]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [3,2,1,8,5,6,7,4]=>[3,2,8,5,6,7,1,4]=>[4,1,7,6,5,8,2,3]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [3,2,1,8,5,7,6,4]=>[3,8,7,2,5,6,1,4]=>[4,1,6,5,2,7,8,3]=>[[1,3,6,7],[2,4,8],[5]]=>11 [3,2,1,8,6,5,7,4]=>[3,8,6,2,5,7,1,4]=>[4,1,7,5,2,6,8,3]=>[[1,3,6,7],[2,4,8],[5]]=>11 [3,2,1,8,6,7,5,4]=>[3,8,6,7,2,5,1,4]=>[4,1,5,2,7,6,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>12 [3,2,4,5,8,6,7,1]=>[8,3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>10 [3,2,4,7,5,6,8,1]=>[7,3,2,4,5,6,8,1]=>[1,8,6,5,4,2,3,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>10 [3,2,4,8,5,6,7,1]=>[3,2,8,4,5,6,7,1]=>[1,7,6,5,4,8,2,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [3,2,4,8,5,7,6,1]=>[3,8,7,2,4,5,6,1]=>[1,6,5,4,2,7,8,3]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [3,2,6,4,5,1,7,8]=>[6,3,2,4,5,1,7,8]=>[8,7,1,5,4,2,3,6]=>[[1,4,7,8],[2],[3],[5],[6]]=>8 [3,2,6,4,5,1,8,7]=>[6,3,2,4,5,8,1,7]=>[7,1,8,5,4,2,3,6]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [3,2,6,4,5,7,1,8]=>[6,3,2,4,5,7,1,8]=>[8,1,7,5,4,2,3,6]=>[[1,3,7,8],[2],[4],[5],[6]]=>9 [3,2,7,4,5,6,1,8]=>[3,2,7,4,5,6,1,8]=>[8,1,6,5,4,7,2,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [3,2,8,4,5,6,7,1]=>[3,2,4,8,5,6,7,1]=>[1,7,6,5,8,4,2,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [3,2,7,4,6,5,8,1]=>[3,7,6,2,4,5,8,1]=>[1,8,5,4,2,6,7,3]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [3,2,8,4,6,5,7,1]=>[3,8,2,6,4,5,7,1]=>[1,7,5,4,6,2,8,3]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [3,2,7,5,4,6,1,8]=>[3,7,5,2,4,6,1,8]=>[8,1,6,4,2,5,7,3]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [3,2,8,5,4,6,7,1]=>[3,8,2,5,4,6,7,1]=>[1,7,6,4,5,2,8,3]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [3,2,7,5,6,4,1,8]=>[3,7,5,6,2,4,1,8]=>[8,1,4,2,6,5,7,3]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [3,2,8,5,6,4,7,1]=>[3,5,8,6,2,4,7,1]=>[1,7,4,2,6,8,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [3,2,8,5,7,6,4,1]=>[8,3,7,5,6,2,4,1]=>[1,4,2,6,5,7,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>16 [4,2,3,1,5,6,8,7]=>[2,4,3,8,1,5,6,7]=>[7,6,5,1,8,3,4,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [4,2,3,1,5,7,8,6]=>[2,4,3,7,8,1,5,6]=>[6,5,1,8,7,3,4,2]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [4,2,3,1,6,5,8,7]=>[2,4,3,6,8,1,5,7]=>[7,5,1,8,6,3,4,2]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [4,2,3,1,6,7,5,8]=>[2,4,3,6,7,1,5,8]=>[8,5,1,7,6,3,4,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [4,2,3,1,6,7,8,5]=>[2,4,3,6,7,8,1,5]=>[5,1,8,7,6,3,4,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [4,2,3,1,7,6,8,5]=>[2,4,7,3,6,8,1,5]=>[5,1,8,6,3,7,4,2]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [4,2,3,1,8,6,7,5]=>[4,2,8,3,6,7,1,5]=>[5,1,7,6,3,8,2,4]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [4,2,3,1,8,7,6,5]=>[8,2,4,7,3,6,1,5]=>[5,1,6,3,7,4,2,8]=>[[1,3,5,8],[2,4,6],[7]]=>11 [4,2,3,5,1,7,8,6]=>[2,4,3,5,7,8,1,6]=>[6,1,8,7,5,3,4,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [4,2,3,5,1,8,7,6]=>[2,4,8,3,5,7,1,6]=>[6,1,7,5,3,8,4,2]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [4,2,3,5,6,8,7,1]=>[2,4,8,3,5,6,7,1]=>[1,7,6,5,3,8,4,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [4,2,3,5,7,6,8,1]=>[2,4,7,3,5,6,8,1]=>[1,8,6,5,3,7,4,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [4,2,3,6,5,1,8,7]=>[2,4,6,3,5,8,1,7]=>[7,1,8,5,3,6,4,2]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [4,2,3,6,5,8,7,1]=>[2,4,6,8,3,5,7,1]=>[1,7,5,3,8,6,4,2]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [4,2,3,7,5,6,1,8]=>[4,2,7,3,5,6,1,8]=>[8,1,6,5,3,7,2,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [4,2,3,7,5,6,8,1]=>[4,2,7,3,5,6,8,1]=>[1,8,6,5,3,7,2,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [4,2,3,7,6,5,8,1]=>[7,2,4,6,3,5,8,1]=>[1,8,5,3,6,4,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [4,2,3,8,6,5,7,1]=>[4,8,2,6,3,5,7,1]=>[1,7,5,3,6,2,8,4]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [4,2,3,8,6,7,5,1]=>[2,8,4,6,7,3,5,1]=>[1,5,3,7,6,4,8,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [4,2,3,8,7,6,5,1]=>[8,7,2,4,6,3,5,1]=>[1,5,3,6,4,2,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>15 [5,2,3,4,1,7,8,6]=>[2,3,5,4,7,8,1,6]=>[6,1,8,7,4,5,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [5,2,3,4,1,8,7,6]=>[2,3,5,8,4,7,1,6]=>[6,1,7,4,8,5,3,2]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [5,2,3,4,6,1,8,7]=>[2,3,5,4,6,8,1,7]=>[7,1,8,6,4,5,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [5,2,3,4,6,8,7,1]=>[2,3,5,8,4,6,7,1]=>[1,7,6,4,8,5,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [5,2,3,4,7,6,1,8]=>[2,3,5,7,4,6,1,8]=>[8,1,6,4,7,5,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [5,2,3,4,7,6,8,1]=>[2,3,5,7,4,6,8,1]=>[1,8,6,4,7,5,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [5,2,3,4,8,6,7,1]=>[5,2,3,8,4,6,7,1]=>[1,7,6,4,8,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [5,2,3,4,8,7,6,1]=>[8,2,3,5,7,4,6,1]=>[1,6,4,7,5,3,2,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [6,2,3,4,5,8,7,1]=>[2,3,4,6,8,5,7,1]=>[1,7,5,8,6,4,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [8,2,3,4,5,7,6,1]=>[8,2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>14 [7,2,3,4,6,5,1,8]=>[7,2,3,4,6,5,1,8]=>[8,1,5,6,4,3,2,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>12 [7,2,3,4,6,5,8,1]=>[7,2,3,4,6,5,8,1]=>[1,8,5,6,4,3,2,7]=>[[1,2,4,8],[3],[5],[6],[7]]=>13 [8,2,3,4,6,5,7,1]=>[6,2,3,4,5,8,7,1]=>[1,7,8,5,4,3,2,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [8,2,3,4,7,6,5,1]=>[8,7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>16 [6,2,3,5,4,1,7,8]=>[6,2,3,5,4,1,7,8]=>[8,7,1,4,5,3,2,6]=>[[1,4,5,8],[2],[3],[6],[7]]=>10 [6,2,3,5,4,1,8,7]=>[6,2,3,5,4,8,1,7]=>[7,1,8,4,5,3,2,6]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [6,2,3,5,4,7,1,8]=>[6,2,3,5,4,7,1,8]=>[8,1,7,4,5,3,2,6]=>[[1,3,5,8],[2],[4],[6],[7]]=>11 [6,2,3,5,4,7,8,1]=>[6,2,3,5,4,7,8,1]=>[1,8,7,4,5,3,2,6]=>[[1,2,5,8],[3],[4],[6],[7]]=>12 [6,2,3,5,4,8,7,1]=>[6,2,3,5,8,4,7,1]=>[1,7,4,8,5,3,2,6]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [7,2,3,5,4,6,1,8]=>[5,2,3,4,7,6,1,8]=>[8,1,6,7,4,3,2,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [8,2,3,5,4,6,7,1]=>[5,2,3,4,6,8,7,1]=>[1,7,8,6,4,3,2,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [8,2,3,5,4,7,6,1]=>[5,8,2,3,4,7,6,1]=>[1,6,7,4,3,2,8,5]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [7,2,3,5,6,4,1,8]=>[2,7,3,5,6,4,1,8]=>[8,1,4,6,5,3,7,2]=>[[1,3,4,7],[2],[5],[6],[8]]=>13 [7,2,3,5,6,4,8,1]=>[2,7,3,5,6,4,8,1]=>[1,8,4,6,5,3,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>14 [8,2,3,5,6,7,4,1]=>[2,3,8,5,6,7,4,1]=>[1,4,7,6,5,8,3,2]=>[[1,2,3,6],[4],[5],[7],[8]]=>16 [7,2,3,6,5,4,1,8]=>[7,6,2,3,5,4,1,8]=>[8,1,4,5,3,2,6,7]=>[[1,3,4,7,8],[2],[5],[6]]=>14 [8,2,3,7,6,5,4,1]=>[8,7,6,2,3,5,4,1]=>[1,4,5,3,2,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>19 [5,2,4,3,1,6,7,8]=>[5,2,4,3,1,6,7,8]=>[8,7,6,1,3,4,2,5]=>[[1,5,6,8],[2],[3],[4],[7]]=>8 [5,2,4,3,1,7,6,8]=>[5,2,4,3,7,1,6,8]=>[8,6,1,7,3,4,2,5]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [5,2,4,3,1,8,7,6]=>[5,2,4,8,3,7,1,6]=>[6,1,7,3,8,4,2,5]=>[[1,3,5,8],[2,4,6],[7]]=>11 [5,2,4,3,6,1,7,8]=>[5,2,4,3,6,1,7,8]=>[8,7,1,6,3,4,2,5]=>[[1,4,6,8],[2],[3],[5],[7]]=>9 [5,2,4,3,6,1,8,7]=>[5,2,4,3,6,8,1,7]=>[7,1,8,6,3,4,2,5]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [5,2,4,3,6,7,8,1]=>[5,2,4,3,6,7,8,1]=>[1,8,7,6,3,4,2,5]=>[[1,2,6,8],[3],[4],[5],[7]]=>11 [5,2,4,3,7,6,1,8]=>[5,2,4,7,3,6,1,8]=>[8,1,6,3,7,4,2,5]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [5,2,4,3,7,6,8,1]=>[5,2,4,7,3,6,8,1]=>[1,8,6,3,7,4,2,5]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [5,2,4,3,8,7,6,1]=>[5,8,2,4,7,3,6,1]=>[1,6,3,7,4,2,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>14 [6,2,4,3,5,8,7,1]=>[4,2,3,6,8,5,7,1]=>[1,7,5,8,6,3,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [7,2,4,3,5,6,8,1]=>[4,2,3,5,7,6,8,1]=>[1,8,6,7,5,3,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [8,2,4,3,6,7,5,1]=>[8,4,2,3,6,7,5,1]=>[1,5,7,6,3,2,4,8]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [6,2,4,5,3,1,7,8]=>[2,6,4,5,3,1,7,8]=>[8,7,1,3,5,4,6,2]=>[[1,4,5,7],[2],[3],[6],[8]]=>11 [6,2,4,5,3,1,8,7]=>[2,6,4,5,3,8,1,7]=>[7,1,8,3,5,4,6,2]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [6,2,4,5,3,7,1,8]=>[2,6,4,5,3,7,1,8]=>[8,1,7,3,5,4,6,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [6,2,4,5,3,7,8,1]=>[2,6,4,5,3,7,8,1]=>[1,8,7,3,5,4,6,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>13 [6,2,4,5,3,8,7,1]=>[2,6,4,5,8,3,7,1]=>[1,7,3,8,5,4,6,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [8,2,4,5,3,6,7,1]=>[4,5,2,3,6,8,7,1]=>[1,7,8,6,3,2,5,4]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [8,2,4,5,3,7,6,1]=>[4,5,8,2,3,7,6,1]=>[1,6,7,3,2,8,5,4]=>[[1,2,3,6],[4,7],[5,8]]=>16 [7,2,4,5,6,3,1,8]=>[2,4,7,5,6,3,1,8]=>[8,1,3,6,5,7,4,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>14 [8,2,4,5,6,3,7,1]=>[4,5,6,2,3,8,7,1]=>[1,7,8,3,2,6,5,4]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [8,2,4,5,7,6,3,1]=>[8,2,4,7,5,6,3,1]=>[1,3,6,5,7,4,2,8]=>[[1,2,3,5,8],[4],[6],[7]]=>18 [7,2,4,6,5,3,1,8]=>[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[[1,3,4,6,8],[2],[5],[7]]=>15 [8,2,4,7,5,6,3,1]=>[2,8,4,7,5,6,3,1]=>[1,3,6,5,7,4,8,2]=>[[1,2,3,5,7],[4],[6],[8]]=>19 [6,2,5,4,3,1,8,7]=>[6,5,2,4,3,8,1,7]=>[7,1,8,3,4,2,5,6]=>[[1,3,5,7,8],[2,4],[6]]=>13 [6,2,5,4,3,7,8,1]=>[6,5,2,4,3,7,8,1]=>[1,8,7,3,4,2,5,6]=>[[1,2,5,7,8],[3],[4],[6]]=>14 [6,2,5,4,3,8,7,1]=>[6,5,2,4,8,3,7,1]=>[1,7,3,8,4,2,5,6]=>[[1,2,4,7,8],[3,5],[6]]=>15 [7,2,5,4,3,6,1,8]=>[5,4,2,3,7,6,1,8]=>[8,1,6,7,3,2,4,5]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [7,2,5,4,3,6,8,1]=>[5,4,2,3,7,6,8,1]=>[1,8,6,7,3,2,4,5]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [8,2,5,4,3,6,7,1]=>[5,4,2,3,6,8,7,1]=>[1,7,8,6,3,2,4,5]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [8,2,5,4,3,7,6,1]=>[5,4,8,2,3,7,6,1]=>[1,6,7,3,2,8,4,5]=>[[1,2,3,6],[4,7,8],[5]]=>17 [7,2,5,4,6,3,1,8]=>[7,2,5,4,6,3,1,8]=>[8,1,3,6,4,5,2,7]=>[[1,3,4,6,8],[2],[5],[7]]=>15 [7,2,5,4,6,3,8,1]=>[7,2,5,4,6,3,8,1]=>[1,8,3,6,4,5,2,7]=>[[1,2,4,6,8],[3],[5],[7]]=>16 [8,2,5,4,6,7,3,1]=>[5,2,4,8,6,7,3,1]=>[1,3,7,6,8,4,2,5]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [8,2,5,4,7,6,3,1]=>[2,8,5,7,4,6,3,1]=>[1,3,6,4,7,5,8,2]=>[[1,2,3,5,7],[4,6],[8]]=>19 [7,2,6,4,5,3,8,1]=>[2,7,6,4,5,3,8,1]=>[1,8,3,5,4,6,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>17 [8,2,7,4,5,6,3,1]=>[2,4,8,7,5,6,3,1]=>[1,3,6,5,7,8,4,2]=>[[1,2,3,5,6],[4],[7],[8]]=>20 [7,2,6,5,4,3,8,1]=>[7,6,5,2,4,3,8,1]=>[1,8,3,4,2,5,6,7]=>[[1,2,4,6,7,8],[3],[5]]=>18 [8,2,7,5,4,6,3,1]=>[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[[1,2,3,5,6,8],[4],[7]]=>21 [8,2,7,5,6,4,3,1]=>[5,8,7,6,2,4,3,1]=>[1,3,4,2,6,7,8,5]=>[[1,2,3,5,6,7],[4,8]]=>22 [8,2,7,6,5,4,3,1]=>[8,7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>23 [4,3,2,7,5,6,1,8]=>[4,7,3,2,5,6,1,8]=>[8,1,6,5,2,3,7,4]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [4,3,2,8,6,5,7,1]=>[8,4,3,6,2,5,7,1]=>[1,7,5,2,6,3,4,8]=>[[1,2,5,7,8],[3,6],[4]]=>14 [5,3,2,4,1,6,8,7]=>[3,2,5,4,8,1,6,7]=>[7,6,1,8,4,5,2,3]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [5,3,2,4,1,7,6,8]=>[3,2,5,4,7,1,6,8]=>[8,6,1,7,4,5,2,3]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [5,3,2,4,1,7,8,6]=>[3,2,5,4,7,8,1,6]=>[6,1,8,7,4,5,2,3]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [5,3,2,4,6,1,8,7]=>[3,2,5,4,6,8,1,7]=>[7,1,8,6,4,5,2,3]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [5,3,2,4,7,6,1,8]=>[3,2,5,7,4,6,1,8]=>[8,1,6,4,7,5,2,3]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [5,3,2,4,7,6,8,1]=>[3,2,5,7,4,6,8,1]=>[1,8,6,4,7,5,2,3]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [5,3,2,4,8,6,7,1]=>[3,5,2,8,4,6,7,1]=>[1,7,6,4,8,2,5,3]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [6,3,2,4,5,1,8,7]=>[3,2,4,6,5,8,1,7]=>[7,1,8,5,6,4,2,3]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [6,3,2,4,5,8,7,1]=>[3,2,4,6,8,5,7,1]=>[1,7,5,8,6,4,2,3]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [8,3,2,4,5,7,6,1]=>[3,8,2,4,5,7,6,1]=>[1,6,7,5,4,2,8,3]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [8,3,2,4,6,5,7,1]=>[3,6,2,4,5,8,7,1]=>[1,7,8,5,4,2,6,3]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [8,3,2,4,6,7,5,1]=>[8,3,2,4,6,7,5,1]=>[1,5,7,6,4,2,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [6,3,2,5,4,1,8,7]=>[3,6,2,5,4,8,1,7]=>[7,1,8,4,5,2,6,3]=>[[1,3,5,7],[2,4],[6,8]]=>12 [6,3,2,5,4,7,1,8]=>[3,6,2,5,4,7,1,8]=>[8,1,7,4,5,2,6,3]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [6,3,2,5,4,8,7,1]=>[3,6,2,5,8,4,7,1]=>[1,7,4,8,5,2,6,3]=>[[1,2,4,7],[3,5],[6,8]]=>14 [7,3,2,5,4,6,8,1]=>[3,5,2,4,7,6,8,1]=>[1,8,6,7,4,2,5,3]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [8,3,2,5,4,7,6,1]=>[3,5,8,2,4,7,6,1]=>[1,6,7,4,2,8,5,3]=>[[1,2,3,6],[4,7],[5,8]]=>16 [8,3,2,5,6,4,7,1]=>[3,5,6,2,4,8,7,1]=>[1,7,8,4,2,6,5,3]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [8,3,2,5,6,7,4,1]=>[3,2,8,5,6,7,4,1]=>[1,4,7,6,5,8,2,3]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [7,3,2,6,5,4,8,1]=>[7,3,6,2,5,4,8,1]=>[1,8,4,5,2,6,3,7]=>[[1,2,4,6,8],[3,7],[5]]=>16 [8,3,2,6,5,7,4,1]=>[3,8,6,2,5,7,4,1]=>[1,4,7,5,2,6,8,3]=>[[1,2,3,6,7],[4,8],[5]]=>18 [8,3,2,7,6,5,4,1]=>[8,7,3,6,2,5,4,1]=>[1,4,5,2,6,3,7,8]=>[[1,2,3,5,7,8],[4,6]]=>20 [5,3,4,2,1,6,8,7]=>[3,5,4,2,8,1,6,7]=>[7,6,1,8,2,4,5,3]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [5,3,4,2,1,7,6,8]=>[3,5,4,2,7,1,6,8]=>[8,6,1,7,2,4,5,3]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [5,3,4,2,1,7,8,6]=>[3,5,4,2,7,8,1,6]=>[6,1,8,7,2,4,5,3]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [5,3,4,2,6,1,8,7]=>[3,5,4,2,6,8,1,7]=>[7,1,8,6,2,4,5,3]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [5,3,4,2,7,6,1,8]=>[3,5,4,7,2,6,1,8]=>[8,1,6,2,7,4,5,3]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [5,3,4,2,8,6,7,1]=>[3,5,8,4,2,6,7,1]=>[1,7,6,2,4,8,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [6,3,4,2,5,1,8,7]=>[3,4,2,6,5,8,1,7]=>[7,1,8,5,6,2,4,3]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [6,3,4,2,5,8,7,1]=>[3,4,2,6,8,5,7,1]=>[1,7,5,8,6,2,4,3]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [7,3,4,2,6,5,8,1]=>[3,4,7,2,6,5,8,1]=>[1,8,5,6,2,7,4,3]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [8,3,4,2,6,5,7,1]=>[3,4,6,2,5,8,7,1]=>[1,7,8,5,2,6,4,3]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [8,3,4,2,6,7,5,1]=>[8,3,4,2,6,7,5,1]=>[1,5,7,6,2,4,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [6,3,4,5,2,1,8,7]=>[3,4,6,5,2,8,1,7]=>[7,1,8,2,5,6,4,3]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [8,3,4,5,2,7,6,1]=>[3,4,5,8,2,7,6,1]=>[1,6,7,2,8,5,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [8,3,4,5,7,6,2,1]=>[8,3,4,5,7,6,2,1]=>[1,2,6,7,5,4,3,8]=>[[1,2,3,4,8],[5],[6],[7]]=>19 [7,3,4,6,5,2,1,8]=>[7,3,4,6,5,2,1,8]=>[8,1,2,5,6,4,3,7]=>[[1,3,4,5,8],[2],[6],[7]]=>16 [7,3,4,6,5,2,8,1]=>[7,3,4,6,5,2,8,1]=>[1,8,2,5,6,4,3,7]=>[[1,2,4,5,8],[3],[6],[7]]=>17 [8,3,4,6,5,2,7,1]=>[6,3,4,5,2,8,7,1]=>[1,7,8,2,5,4,3,6]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [8,3,4,6,5,7,2,1]=>[6,3,4,5,8,7,2,1]=>[1,2,7,8,5,4,3,6]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [8,3,4,7,6,5,2,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>21 [6,3,5,4,2,1,7,8]=>[6,3,5,4,2,1,7,8]=>[8,7,1,2,4,5,3,6]=>[[1,4,5,6,8],[2],[3],[7]]=>13 [6,3,5,4,2,1,8,7]=>[6,3,5,4,2,8,1,7]=>[7,1,8,2,4,5,3,6]=>[[1,3,5,6,8],[2,4],[7]]=>14 [6,3,5,4,2,7,1,8]=>[6,3,5,4,2,7,1,8]=>[8,1,7,2,4,5,3,6]=>[[1,3,5,6,8],[2],[4],[7]]=>14 [6,3,5,4,2,7,8,1]=>[6,3,5,4,2,7,8,1]=>[1,8,7,2,4,5,3,6]=>[[1,2,5,6,8],[3],[4],[7]]=>15 [6,3,5,4,2,8,7,1]=>[6,3,5,4,8,2,7,1]=>[1,7,2,8,4,5,3,6]=>[[1,2,4,6,8],[3,5],[7]]=>16 [7,3,5,4,2,6,1,8]=>[5,3,4,2,7,6,1,8]=>[8,1,6,7,2,4,3,5]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [7,3,5,4,2,6,8,1]=>[5,3,4,2,7,6,8,1]=>[1,8,6,7,2,4,3,5]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [8,3,5,4,2,6,7,1]=>[5,3,4,2,6,8,7,1]=>[1,7,8,6,2,4,3,5]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [8,3,5,4,2,7,6,1]=>[5,3,4,8,2,7,6,1]=>[1,6,7,2,8,4,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>18 [7,3,5,4,6,2,8,1]=>[5,3,4,7,6,2,8,1]=>[1,8,2,6,7,4,3,5]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [8,3,5,4,6,2,7,1]=>[5,3,4,6,2,8,7,1]=>[1,7,8,2,6,4,3,5]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [8,3,5,4,6,7,2,1]=>[5,3,4,6,8,7,2,1]=>[1,2,7,8,6,4,3,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [8,3,5,4,7,6,2,1]=>[5,8,3,4,7,6,2,1]=>[1,2,6,7,4,3,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>20 [7,3,6,4,5,2,8,1]=>[3,7,4,6,5,2,8,1]=>[1,8,2,5,6,4,7,3]=>[[1,2,4,5,7],[3],[6],[8]]=>18 [8,3,6,4,5,7,2,1]=>[3,6,4,5,8,7,2,1]=>[1,2,7,8,5,4,6,3]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [8,3,7,4,6,5,2,1]=>[8,3,7,4,6,5,2,1]=>[1,2,5,6,4,7,3,8]=>[[1,2,3,4,6,8],[5],[7]]=>22 [7,3,6,5,4,2,1,8]=>[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[[1,3,4,5,7,8],[2],[6]]=>18 [8,3,6,5,4,2,7,1]=>[6,5,3,4,2,8,7,1]=>[1,7,8,2,4,3,5,6]=>[[1,2,3,7,8],[4,5],[6]]=>20 [8,3,6,5,4,7,2,1]=>[6,5,3,4,8,7,2,1]=>[1,2,7,8,4,3,5,6]=>[[1,2,3,4,8],[5,7],[6]]=>21 [8,3,7,5,4,6,2,1]=>[8,3,5,4,7,6,2,1]=>[1,2,6,7,4,5,3,8]=>[[1,2,3,4,8],[5,6],[7]]=>22 [5,4,3,2,8,6,7,1]=>[5,4,8,3,2,6,7,1]=>[1,7,6,2,3,8,4,5]=>[[1,2,5,6,8],[3,7],[4]]=>15 [6,4,3,2,5,1,8,7]=>[4,3,2,6,5,8,1,7]=>[7,1,8,5,6,2,3,4]=>[[1,3,5,8],[2,4],[6,7]]=>13 [8,4,3,2,5,7,6,1]=>[4,3,8,2,5,7,6,1]=>[1,6,7,5,2,8,3,4]=>[[1,2,3,6],[4,7,8],[5]]=>17 [7,4,3,2,6,5,8,1]=>[4,3,7,2,6,5,8,1]=>[1,8,5,6,2,7,3,4]=>[[1,2,4,6],[3,7,8],[5]]=>16 [8,4,3,2,6,7,5,1]=>[4,8,3,2,6,7,5,1]=>[1,5,7,6,2,3,8,4]=>[[1,2,3,7],[4,6,8],[5]]=>18 [6,4,3,5,2,1,8,7]=>[4,3,6,5,2,8,1,7]=>[7,1,8,2,5,6,3,4]=>[[1,3,5,6],[2,4],[7,8]]=>14 [6,4,3,5,2,8,7,1]=>[4,3,6,5,8,2,7,1]=>[1,7,2,8,5,6,3,4]=>[[1,2,4,6],[3,5],[7,8]]=>16 [8,4,3,5,7,6,2,1]=>[4,8,3,5,7,6,2,1]=>[1,2,6,7,5,3,8,4]=>[[1,2,3,4,7],[5,8],[6]]=>20 [7,4,3,6,5,2,1,8]=>[4,7,3,6,5,2,1,8]=>[8,1,2,5,6,3,7,4]=>[[1,3,4,5,7],[2,8],[6]]=>17 [7,4,3,6,5,2,8,1]=>[4,7,3,6,5,2,8,1]=>[1,8,2,5,6,3,7,4]=>[[1,2,4,5,7],[3,8],[6]]=>18 [8,4,3,6,5,2,7,1]=>[4,6,3,5,2,8,7,1]=>[1,7,8,2,5,3,6,4]=>[[1,2,3,7],[4,5],[6,8]]=>19 [8,4,3,7,5,6,2,1]=>[8,4,3,5,7,6,2,1]=>[1,2,6,7,5,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>21 [8,4,3,7,6,5,2,1]=>[8,4,7,3,6,5,2,1]=>[1,2,5,6,3,7,4,8]=>[[1,2,3,4,6,8],[5,7]]=>22 [6,5,3,4,2,1,8,7]=>[3,6,5,4,2,8,1,7]=>[7,1,8,2,4,5,6,3]=>[[1,3,5,6,7],[2,4],[8]]=>15 [6,5,3,4,2,8,7,1]=>[3,6,5,4,8,2,7,1]=>[1,7,2,8,4,5,6,3]=>[[1,2,4,6,7],[3,5],[8]]=>17 [8,5,3,4,2,7,6,1]=>[3,5,4,8,2,7,6,1]=>[1,6,7,2,8,4,5,3]=>[[1,2,3,5],[4,6,7],[8]]=>19 [8,5,3,4,7,6,2,1]=>[3,5,8,4,7,6,2,1]=>[1,2,6,7,4,8,5,3]=>[[1,2,3,4,6],[5,7],[8]]=>21 [8,7,3,4,6,5,2,1]=>[8,3,4,7,6,5,2,1]=>[1,2,5,6,7,4,3,8]=>[[1,2,3,4,5,8],[6],[7]]=>23 [7,6,3,5,4,2,1,8]=>[7,3,6,5,4,2,1,8]=>[8,1,2,4,5,6,3,7]=>[[1,3,4,5,6,8],[2],[7]]=>19 [8,6,3,5,4,2,7,1]=>[6,3,5,4,2,8,7,1]=>[1,7,8,2,4,5,3,6]=>[[1,2,3,6,8],[4,5],[7]]=>21 [8,6,3,5,4,7,2,1]=>[6,3,5,4,8,7,2,1]=>[1,2,7,8,4,5,3,6]=>[[1,2,3,4,8],[5,6],[7]]=>22 [8,7,3,5,4,6,2,1]=>[5,3,4,8,7,6,2,1]=>[1,2,6,7,8,4,3,5]=>[[1,2,3,4,5],[6,8],[7]]=>23 [8,7,3,6,5,4,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[[1,2,3,4,5,7,8],[6]]=>25 [8,5,4,3,2,7,6,1]=>[5,4,3,8,2,7,6,1]=>[1,6,7,2,8,3,4,5]=>[[1,2,3,5,8],[4,6,7]]=>20 [8,5,4,3,7,6,2,1]=>[5,4,8,3,7,6,2,1]=>[1,2,6,7,3,8,4,5]=>[[1,2,3,4,6],[5,7,8]]=>22 [8,7,4,3,6,5,2,1]=>[4,8,3,7,6,5,2,1]=>[1,2,5,6,7,3,8,4]=>[[1,2,3,4,5,7],[6,8]]=>24 [8,7,4,6,5,3,2,1]=>[8,4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4,8]=>[[1,2,3,4,5,6,8],[7]]=>26 [2,4,1,3,6,5,8,7]=>[4,2,6,8,1,3,5,7]=>[7,5,3,1,8,6,2,4]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [2,1,4,6,3,5,8,7]=>[6,2,4,8,1,3,5,7]=>[7,5,3,1,8,4,2,6]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [2,4,1,6,3,5,8,7]=>[4,6,2,8,1,3,5,7]=>[7,5,3,1,8,2,6,4]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [2,1,4,3,6,8,5,7]=>[8,2,4,6,1,3,5,7]=>[7,5,3,1,6,4,2,8]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [2,4,1,6,3,8,5,7]=>[4,6,8,2,1,3,5,7]=>[7,5,3,1,2,8,6,4]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [2,4,6,1,3,8,5,7]=>[6,4,8,2,1,3,5,7]=>[7,5,3,1,2,8,4,6]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [2,1,4,6,8,3,5,7]=>[8,6,2,4,1,3,5,7]=>[7,5,3,1,4,2,6,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [2,4,6,8,1,3,5,7]=>[8,6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6,8]=>[[1,5,6,7,8],[2],[3],[4]]=>10 [2,1,4,6,3,5,7,8]=>[6,2,4,1,3,5,7,8]=>[8,7,5,3,1,4,2,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [2,4,1,6,3,5,7,8]=>[4,6,2,1,3,5,7,8]=>[8,7,5,3,1,2,6,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [2,4,6,1,3,5,7,8]=>[6,4,2,1,3,5,7,8]=>[8,7,5,3,1,2,4,6]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [2,1,4,6,3,7,5,8]=>[6,2,4,7,1,3,5,8]=>[8,5,3,1,7,4,2,6]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [2,4,1,6,3,7,5,8]=>[4,6,2,7,1,3,5,8]=>[8,5,3,1,7,2,6,4]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [2,4,6,1,3,7,5,8]=>[6,4,2,7,1,3,5,8]=>[8,5,3,1,7,2,4,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [2,4,6,7,1,3,5,8]=>[6,7,4,2,1,3,5,8]=>[8,5,3,1,2,4,7,6]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [2,1,4,6,3,7,8,5]=>[6,2,4,7,8,1,3,5]=>[5,3,1,8,7,4,2,6]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [2,4,6,1,3,7,8,5]=>[6,4,2,7,8,1,3,5]=>[5,3,1,8,7,2,4,6]=>[[1,4,7,8],[2,5],[3,6]]=>8 [2,4,1,6,7,3,8,5]=>[4,6,7,2,8,1,3,5]=>[5,3,1,8,2,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [2,4,6,1,7,3,8,5]=>[6,4,7,2,8,1,3,5]=>[5,3,1,8,2,7,4,6]=>[[1,4,6,8],[2,5],[3,7]]=>9 [2,4,6,7,1,3,8,5]=>[6,7,4,2,8,1,3,5]=>[5,3,1,8,2,4,7,6]=>[[1,4,6,7],[2,5],[3,8]]=>10 [2,1,4,6,7,8,3,5]=>[6,7,8,2,4,1,3,5]=>[5,3,1,4,2,8,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>8 [2,4,6,1,7,8,3,5]=>[6,4,7,8,2,1,3,5]=>[5,3,1,2,8,7,4,6]=>[[1,4,5,8],[2,6],[3,7]]=>10 [2,4,6,7,1,8,3,5]=>[6,7,4,8,2,1,3,5]=>[5,3,1,2,8,4,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>11 [2,4,6,7,8,1,3,5]=>[6,7,8,4,2,1,3,5]=>[5,3,1,2,4,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>12 [2,1,4,3,7,5,8,6]=>[7,2,4,8,1,3,5,6]=>[6,5,3,1,8,4,2,7]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [2,4,1,3,7,5,8,6]=>[4,7,2,8,1,3,5,6]=>[6,5,3,1,8,2,7,4]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [2,4,1,7,3,5,8,6]=>[7,4,2,8,1,3,5,6]=>[6,5,3,1,8,2,4,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [2,4,7,1,3,5,8,6]=>[7,2,1,4,8,3,5,6]=>[6,5,3,8,4,1,2,7]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [2,1,4,3,7,8,5,6]=>[7,8,2,4,1,3,5,6]=>[6,5,3,1,4,2,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [2,4,1,7,3,8,5,6]=>[7,4,8,2,1,3,5,6]=>[6,5,3,1,2,8,4,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [2,4,7,1,3,8,5,6]=>[7,2,4,1,8,3,5,6]=>[6,5,3,8,1,4,2,7]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [2,1,4,7,8,3,5,6]=>[7,2,8,4,1,3,5,6]=>[6,5,3,1,4,8,2,7]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [2,4,1,7,8,3,5,6]=>[7,8,4,2,1,3,5,6]=>[6,5,3,1,2,4,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [2,4,7,1,8,3,5,6]=>[7,8,2,1,4,3,5,6]=>[6,5,3,4,1,2,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [2,4,7,8,1,3,5,6]=>[2,7,1,8,4,3,5,6]=>[6,5,3,4,8,1,7,2]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [2,4,1,3,7,5,6,8]=>[4,7,2,1,3,5,6,8]=>[8,6,5,3,1,2,7,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [2,4,7,1,3,5,6,8]=>[7,2,1,4,3,5,6,8]=>[8,6,5,3,4,1,2,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [2,4,1,5,3,7,6,8]=>[4,2,5,7,1,3,6,8]=>[8,6,3,1,7,5,2,4]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [2,4,1,5,3,7,8,6]=>[4,2,5,7,8,1,3,6]=>[6,3,1,8,7,5,2,4]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [2,4,5,1,3,7,8,6]=>[4,5,2,7,8,1,3,6]=>[6,3,1,8,7,2,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [2,4,1,5,7,3,8,6]=>[4,7,2,5,8,1,3,6]=>[6,3,1,8,5,2,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>7 [2,4,5,1,7,3,8,6]=>[4,5,7,2,8,1,3,6]=>[6,3,1,8,2,7,5,4]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [2,1,4,5,7,8,3,6]=>[7,8,2,4,5,1,3,6]=>[6,3,1,5,4,2,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [2,4,5,1,7,8,3,6]=>[4,5,7,8,2,1,3,6]=>[6,3,1,2,8,7,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [2,4,5,7,8,1,3,6]=>[7,8,4,5,2,1,3,6]=>[6,3,1,2,5,4,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>11 [2,4,1,8,3,5,6,7]=>[8,2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [2,4,8,1,3,5,6,7]=>[4,2,1,3,8,5,6,7]=>[7,6,5,8,3,1,2,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [2,1,4,3,5,8,6,7]=>[8,2,4,1,3,5,6,7]=>[7,6,5,3,1,4,2,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [2,4,1,3,5,8,6,7]=>[4,8,2,1,3,5,6,7]=>[7,6,5,3,1,2,8,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [2,1,4,5,3,8,6,7]=>[8,2,4,5,1,3,6,7]=>[7,6,3,1,5,4,2,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [2,1,4,5,8,3,6,7]=>[2,8,4,5,1,3,6,7]=>[7,6,3,1,5,4,8,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [2,4,5,1,8,3,6,7]=>[8,4,5,2,1,3,6,7]=>[7,6,3,1,2,5,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [2,4,1,3,5,6,8,7]=>[4,2,8,1,3,5,6,7]=>[7,6,5,3,1,8,2,4]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [2,4,1,5,3,6,8,7]=>[4,2,5,8,1,3,6,7]=>[7,6,3,1,8,5,2,4]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [2,4,1,5,6,3,8,7]=>[4,2,5,6,8,1,3,7]=>[7,3,1,8,6,5,2,4]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [2,4,5,1,6,3,8,7]=>[4,5,2,6,8,1,3,7]=>[7,3,1,8,6,2,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [2,4,5,6,1,3,8,7]=>[4,5,6,2,8,1,3,7]=>[7,3,1,8,2,6,5,4]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [2,1,4,5,6,8,3,7]=>[8,2,4,5,6,1,3,7]=>[7,3,1,6,5,4,2,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [2,4,1,5,6,8,3,7]=>[4,8,2,5,6,1,3,7]=>[7,3,1,6,5,2,8,4]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [2,4,5,1,6,8,3,7]=>[4,5,8,2,6,1,3,7]=>[7,3,1,6,2,8,5,4]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [2,4,5,6,1,8,3,7]=>[4,5,6,8,2,1,3,7]=>[7,3,1,2,8,6,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [2,4,1,3,5,6,7,8]=>[4,2,1,3,5,6,7,8]=>[8,7,6,5,3,1,2,4]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [2,4,1,5,3,6,7,8]=>[4,2,5,1,3,6,7,8]=>[8,7,6,3,1,5,2,4]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [2,4,1,5,6,3,7,8]=>[4,2,5,6,1,3,7,8]=>[8,7,3,1,6,5,2,4]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [2,4,5,1,6,3,7,8]=>[4,5,2,6,1,3,7,8]=>[8,7,3,1,6,2,5,4]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [2,4,1,5,6,7,3,8]=>[4,2,5,6,7,1,3,8]=>[8,3,1,7,6,5,2,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [2,4,5,1,6,7,3,8]=>[4,5,2,6,7,1,3,8]=>[8,3,1,7,6,2,5,4]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [2,4,5,6,1,7,3,8]=>[4,5,6,2,7,1,3,8]=>[8,3,1,7,2,6,5,4]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [2,4,5,6,7,1,3,8]=>[4,5,6,7,2,1,3,8]=>[8,3,1,2,7,6,5,4]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [2,4,1,5,6,7,8,3]=>[4,2,5,6,7,8,1,3]=>[3,1,8,7,6,5,2,4]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [2,4,5,1,6,7,8,3]=>[4,5,2,6,7,8,1,3]=>[3,1,8,7,6,2,5,4]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [2,4,5,6,7,1,8,3]=>[4,5,6,7,2,8,1,3]=>[3,1,8,2,7,6,5,4]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [2,4,5,6,7,8,1,3]=>[4,5,6,7,8,2,1,3]=>[3,1,2,8,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [2,1,5,3,6,4,8,7]=>[5,2,6,8,1,3,4,7]=>[7,4,3,1,8,6,2,5]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [2,1,5,6,3,4,8,7]=>[5,6,2,8,1,3,4,7]=>[7,4,3,1,8,2,6,5]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [2,5,1,6,3,4,8,7]=>[2,5,1,6,8,3,4,7]=>[7,4,3,8,6,1,5,2]=>[[1,4],[2,5],[3,7],[6,8]]=>7 [2,1,5,3,6,8,4,7]=>[5,8,2,6,1,3,4,7]=>[7,4,3,1,6,2,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [2,5,1,6,3,8,4,7]=>[2,5,6,1,8,3,4,7]=>[7,4,3,8,1,6,5,2]=>[[1,4],[2,6],[3,7],[5,8]]=>8 [2,1,5,6,8,3,4,7]=>[8,5,6,2,1,3,4,7]=>[7,4,3,1,2,6,5,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [2,5,6,1,8,3,4,7]=>[5,6,2,1,8,3,4,7]=>[7,4,3,8,1,2,6,5]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [2,5,6,8,1,3,4,7]=>[8,5,2,1,6,3,4,7]=>[7,4,3,6,1,2,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [2,1,5,3,6,4,7,8]=>[5,2,6,1,3,4,7,8]=>[8,7,4,3,1,6,2,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [2,5,1,3,6,4,7,8]=>[2,1,5,6,3,4,7,8]=>[8,7,4,3,6,5,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>5 [2,5,1,6,3,4,7,8]=>[2,5,1,6,3,4,7,8]=>[8,7,4,3,6,1,5,2]=>[[1,5],[2,7],[3,8],[4],[6]]=>6 [2,5,6,1,3,4,7,8]=>[5,2,1,6,3,4,7,8]=>[8,7,4,3,6,1,2,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [2,1,5,3,6,7,4,8]=>[5,2,6,7,1,3,4,8]=>[8,4,3,1,7,6,2,5]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [2,5,1,3,6,7,4,8]=>[2,1,5,6,7,3,4,8]=>[8,4,3,7,6,5,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>6 [2,1,5,6,3,7,4,8]=>[5,6,2,7,1,3,4,8]=>[8,4,3,1,7,2,6,5]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [2,5,1,6,3,7,4,8]=>[2,5,1,6,7,3,4,8]=>[8,4,3,7,6,1,5,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>7 [2,5,1,6,7,3,4,8]=>[2,5,6,1,7,3,4,8]=>[8,4,3,7,1,6,5,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>8 [2,5,6,7,1,3,4,8]=>[5,6,2,1,7,3,4,8]=>[8,4,3,7,1,2,6,5]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [2,5,1,3,6,7,8,4]=>[2,1,5,6,7,8,3,4]=>[4,3,8,7,6,5,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [2,5,1,6,3,7,8,4]=>[2,5,1,6,7,8,3,4]=>[4,3,8,7,6,1,5,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>8 [2,5,6,1,3,7,8,4]=>[5,2,1,6,7,8,3,4]=>[4,3,8,7,6,1,2,5]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [2,5,1,6,7,3,8,4]=>[2,5,6,1,7,8,3,4]=>[4,3,8,7,1,6,5,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>9 [2,5,6,1,7,3,8,4]=>[5,2,6,1,7,8,3,4]=>[4,3,8,7,1,6,2,5]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [2,5,6,7,1,3,8,4]=>[5,6,2,1,7,8,3,4]=>[4,3,8,7,1,2,6,5]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [2,1,5,6,7,8,3,4]=>[5,6,7,8,2,1,3,4]=>[4,3,1,2,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [2,5,1,6,7,8,3,4]=>[2,5,6,7,1,8,3,4]=>[4,3,8,1,7,6,5,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>10 [2,5,6,7,1,8,3,4]=>[5,6,2,7,1,8,3,4]=>[4,3,8,1,7,2,6,5]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [2,1,5,3,7,4,8,6]=>[5,7,2,8,1,3,4,6]=>[6,4,3,1,8,2,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [2,5,1,3,7,4,8,6]=>[2,5,1,7,8,3,4,6]=>[6,4,3,8,7,1,5,2]=>[[1,4],[2,5],[3,7],[6,8]]=>7 [2,1,5,7,3,4,8,6]=>[7,5,2,8,1,3,4,6]=>[6,4,3,1,8,2,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [2,5,1,7,3,4,8,6]=>[5,2,1,7,8,3,4,6]=>[6,4,3,8,7,1,2,5]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [2,5,7,1,3,4,8,6]=>[2,1,7,5,8,3,4,6]=>[6,4,3,8,5,7,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [2,5,1,3,7,8,4,6]=>[2,5,7,1,8,3,4,6]=>[6,4,3,8,1,7,5,2]=>[[1,4],[2,6],[3,7],[5,8]]=>8 [2,1,5,7,3,8,4,6]=>[7,5,8,2,1,3,4,6]=>[6,4,3,1,2,8,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [2,1,5,7,8,3,4,6]=>[7,8,5,2,1,3,4,6]=>[6,4,3,1,2,5,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [2,5,1,7,8,3,4,6]=>[5,7,2,1,8,3,4,6]=>[6,4,3,8,1,2,7,5]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [2,5,7,1,8,3,4,6]=>[7,5,2,1,8,3,4,6]=>[6,4,3,8,1,2,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [2,5,7,8,1,3,4,6]=>[7,2,1,8,5,3,4,6]=>[6,4,3,5,8,1,2,7]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [2,5,1,3,7,4,6,8]=>[2,5,1,7,3,4,6,8]=>[8,6,4,3,7,1,5,2]=>[[1,5],[2,7],[3,8],[4],[6]]=>6 [2,1,5,7,3,4,6,8]=>[7,5,2,1,3,4,6,8]=>[8,6,4,3,1,2,5,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [2,3,5,1,4,7,6,8]=>[5,2,3,7,1,4,6,8]=>[8,6,4,1,7,3,2,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [2,3,1,5,7,4,6,8]=>[7,2,3,5,1,4,6,8]=>[8,6,4,1,5,3,2,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [2,3,5,1,7,4,6,8]=>[5,7,2,3,1,4,6,8]=>[8,6,4,1,3,2,7,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [2,3,5,7,1,4,6,8]=>[7,5,2,3,1,4,6,8]=>[8,6,4,1,3,2,5,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>7 [2,5,1,3,4,7,8,6]=>[2,1,5,7,8,3,4,6]=>[6,4,3,8,7,5,1,2]=>[[1,4],[2,5],[3,6],[7,8]]=>6 [2,3,5,1,4,7,8,6]=>[5,2,3,7,8,1,4,6]=>[6,4,1,8,7,3,2,5]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [2,1,3,5,7,4,8,6]=>[7,2,5,8,1,3,4,6]=>[6,4,3,1,8,5,2,7]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [2,3,5,1,7,4,8,6]=>[5,7,2,3,8,1,4,6]=>[6,4,1,8,3,2,7,5]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [2,3,5,7,1,4,8,6]=>[7,5,2,3,8,1,4,6]=>[6,4,1,8,3,2,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [2,1,3,5,7,8,4,6]=>[7,8,2,5,1,3,4,6]=>[6,4,3,1,5,2,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [2,3,5,7,1,8,4,6]=>[7,5,8,2,3,1,4,6]=>[6,4,1,3,2,8,5,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [2,1,5,3,8,4,6,7]=>[8,5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [2,5,1,3,8,4,6,7]=>[5,2,1,8,3,4,6,7]=>[7,6,4,3,8,1,2,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [2,5,1,8,3,4,6,7]=>[2,1,8,5,3,4,6,7]=>[7,6,4,3,5,8,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [2,5,1,3,4,8,6,7]=>[2,5,1,8,3,4,6,7]=>[7,6,4,3,8,1,5,2]=>[[1,5],[2,7],[3,8],[4],[6]]=>6 [2,1,3,5,4,8,6,7]=>[8,2,5,1,3,4,6,7]=>[7,6,4,3,1,5,2,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [2,3,5,1,4,8,6,7]=>[5,8,2,3,1,4,6,7]=>[7,6,4,1,3,2,8,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [2,1,3,5,8,4,6,7]=>[2,8,5,1,3,4,6,7]=>[7,6,4,3,1,5,8,2]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [2,1,5,3,4,6,8,7]=>[5,2,8,1,3,4,6,7]=>[7,6,4,3,1,8,2,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [2,3,5,6,1,4,8,7]=>[5,6,2,3,8,1,4,7]=>[7,4,1,8,3,2,6,5]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [2,1,3,5,6,8,4,7]=>[8,2,5,6,1,3,4,7]=>[7,4,3,1,6,5,2,8]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [2,3,1,5,6,8,4,7]=>[8,2,3,5,6,1,4,7]=>[7,4,1,6,5,3,2,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [2,3,5,1,6,8,4,7]=>[5,8,2,3,6,1,4,7]=>[7,4,1,6,3,2,8,5]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [2,3,5,6,1,8,4,7]=>[5,6,8,2,3,1,4,7]=>[7,4,1,3,2,8,6,5]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [2,3,5,6,8,1,4,7]=>[8,5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [2,1,5,3,4,6,7,8]=>[5,2,1,3,4,6,7,8]=>[8,7,6,4,3,1,2,5]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [2,3,5,1,4,6,7,8]=>[5,2,3,1,4,6,7,8]=>[8,7,6,4,1,3,2,5]=>[[1,6,8],[2],[3],[4],[5],[7]]=>4 [2,3,5,1,6,4,7,8]=>[5,2,3,6,1,4,7,8]=>[8,7,4,1,6,3,2,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [2,3,5,6,1,4,7,8]=>[5,6,2,3,1,4,7,8]=>[8,7,4,1,3,2,6,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [2,3,5,1,6,7,4,8]=>[5,2,3,6,7,1,4,8]=>[8,4,1,7,6,3,2,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [2,3,5,6,1,7,4,8]=>[5,6,2,3,7,1,4,8]=>[8,4,1,7,3,2,6,5]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [2,3,5,6,7,1,4,8]=>[5,6,7,2,3,1,4,8]=>[8,4,1,3,2,7,6,5]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [2,3,5,6,1,7,8,4]=>[5,6,2,3,7,8,1,4]=>[4,1,8,7,3,2,6,5]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [2,3,5,6,7,1,8,4]=>[5,6,7,2,3,8,1,4]=>[4,1,8,3,2,7,6,5]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [2,3,5,6,7,8,1,4]=>[5,6,7,8,2,3,1,4]=>[4,1,3,2,8,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [2,1,6,3,7,4,8,5]=>[2,6,1,7,8,3,4,5]=>[5,4,3,8,7,1,6,2]=>[[1,4],[2,5],[3,7],[6,8]]=>7 [2,6,1,7,3,4,8,5]=>[6,2,1,3,7,8,4,5]=>[5,4,8,7,3,1,2,6]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [2,6,7,1,3,4,8,5]=>[2,1,6,3,7,8,4,5]=>[5,4,8,7,3,6,1,2]=>[[1,3],[2,4],[5,6],[7,8]]=>10 [2,1,6,3,7,8,4,5]=>[2,6,7,1,8,3,4,5]=>[5,4,3,8,1,7,6,2]=>[[1,4],[2,6],[3,7],[5,8]]=>8 [2,6,1,3,7,8,4,5]=>[2,6,7,1,3,8,4,5]=>[5,4,8,3,1,7,6,2]=>[[1,3],[2,6],[4,7],[5,8]]=>9 [2,1,6,7,3,8,4,5]=>[6,2,7,1,8,3,4,5]=>[5,4,3,8,1,7,2,6]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [2,6,1,7,3,8,4,5]=>[6,2,7,1,3,8,4,5]=>[5,4,8,3,1,7,2,6]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [2,6,7,1,3,8,4,5]=>[2,1,6,7,3,8,4,5]=>[5,4,8,3,7,6,1,2]=>[[1,3],[2,5],[4,6],[7,8]]=>11 [2,1,6,7,8,3,4,5]=>[6,7,2,1,8,3,4,5]=>[5,4,3,8,1,2,7,6]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [2,6,7,1,8,3,4,5]=>[2,6,1,7,3,8,4,5]=>[5,4,8,3,7,1,6,2]=>[[1,3],[2,5],[4,7],[6,8]]=>12 [2,6,7,8,1,3,4,5]=>[6,2,1,7,3,8,4,5]=>[5,4,8,3,7,1,2,6]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [2,6,1,7,3,4,5,8]=>[6,2,1,3,7,4,5,8]=>[8,5,4,7,3,1,2,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [2,6,7,1,3,4,5,8]=>[2,1,6,3,7,4,5,8]=>[8,5,4,7,3,6,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>9 [2,1,6,3,4,7,5,8]=>[2,1,6,7,3,4,5,8]=>[8,5,4,3,7,6,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>5 [2,6,1,3,4,7,5,8]=>[2,1,3,6,7,4,5,8]=>[8,5,4,7,6,3,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>6 [2,3,6,1,4,7,5,8]=>[2,6,3,7,1,4,5,8]=>[8,5,4,1,7,3,6,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [2,3,1,6,7,4,5,8]=>[6,7,2,3,1,4,5,8]=>[8,5,4,1,3,2,7,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [2,3,6,1,7,4,5,8]=>[2,6,7,3,1,4,5,8]=>[8,5,4,1,3,7,6,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [2,3,6,7,1,4,5,8]=>[6,2,7,3,1,4,5,8]=>[8,5,4,1,3,7,2,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [2,1,6,3,4,7,8,5]=>[2,1,6,7,8,3,4,5]=>[5,4,3,8,7,6,1,2]=>[[1,4],[2,5],[3,6],[7,8]]=>6 [2,6,1,3,4,7,8,5]=>[2,1,3,6,7,8,4,5]=>[5,4,8,7,6,3,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [2,1,3,6,4,7,8,5]=>[6,2,7,8,1,3,4,5]=>[5,4,3,1,8,7,2,6]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [2,3,1,6,4,7,8,5]=>[6,2,3,7,8,1,4,5]=>[5,4,1,8,7,3,2,6]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [2,3,6,1,4,7,8,5]=>[2,6,3,7,8,1,4,5]=>[5,4,1,8,7,3,6,2]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [2,1,3,6,7,4,8,5]=>[6,7,2,8,1,3,4,5]=>[5,4,3,1,8,2,7,6]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [2,1,3,6,7,8,4,5]=>[6,7,8,2,1,3,4,5]=>[5,4,3,1,2,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [2,3,1,6,7,8,4,5]=>[6,7,8,2,3,1,4,5]=>[5,4,1,3,2,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [2,1,6,8,3,4,5,7]=>[2,1,8,6,3,4,5,7]=>[7,5,4,3,6,8,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [2,1,6,3,4,8,5,7]=>[2,6,1,8,3,4,5,7]=>[7,5,4,3,8,1,6,2]=>[[1,5],[2,7],[3,8],[4],[6]]=>6 [2,3,1,6,4,8,5,7]=>[6,8,2,3,1,4,5,7]=>[7,5,4,1,3,2,8,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [2,3,6,1,4,8,5,7]=>[2,6,8,3,1,4,5,7]=>[7,5,4,1,3,8,6,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [2,3,1,6,8,4,5,7]=>[8,6,2,3,1,4,5,7]=>[7,5,4,1,3,2,6,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>7 [2,3,6,1,8,4,5,7]=>[6,2,8,3,1,4,5,7]=>[7,5,4,1,3,8,2,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [2,3,6,8,1,4,5,7]=>[2,8,6,3,1,4,5,7]=>[7,5,4,1,3,6,8,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>9 [2,6,1,3,4,5,8,7]=>[2,1,3,6,8,4,5,7]=>[7,5,4,8,6,3,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>6 [2,1,3,6,4,5,8,7]=>[6,2,8,1,3,4,5,7]=>[7,5,4,3,1,8,2,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [2,3,1,6,4,5,8,7]=>[6,2,3,8,1,4,5,7]=>[7,5,4,1,8,3,2,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [2,3,4,6,1,5,8,7]=>[6,2,3,4,8,1,5,7]=>[7,5,1,8,4,3,2,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [2,3,1,4,6,8,5,7]=>[8,2,3,6,1,4,5,7]=>[7,5,4,1,6,3,2,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [2,3,4,1,6,8,5,7]=>[8,2,3,4,6,1,5,7]=>[7,5,1,6,4,3,2,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [2,3,4,6,1,8,5,7]=>[6,8,2,3,4,1,5,7]=>[7,5,1,4,3,2,8,6]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [2,6,1,3,4,5,7,8]=>[2,1,3,6,4,5,7,8]=>[8,7,5,4,6,3,1,2]=>[[1,5],[2,8],[3],[4],[6],[7]]=>5 [2,1,3,6,4,5,7,8]=>[6,2,1,3,4,5,7,8]=>[8,7,5,4,3,1,2,6]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [2,3,1,6,4,5,7,8]=>[6,2,3,1,4,5,7,8]=>[8,7,5,4,1,3,2,6]=>[[1,6,8],[2],[3],[4],[5],[7]]=>4 [2,3,4,6,1,5,7,8]=>[6,2,3,4,1,5,7,8]=>[8,7,5,1,4,3,2,6]=>[[1,5,8],[2],[3],[4],[6],[7]]=>5 [2,3,4,6,1,7,8,5]=>[6,2,3,4,7,8,1,5]=>[5,1,8,7,4,3,2,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [2,3,4,6,7,8,1,5]=>[6,7,8,2,3,4,1,5]=>[5,1,4,3,2,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [2,7,1,3,8,4,5,6]=>[7,2,1,3,4,8,5,6]=>[6,5,8,4,3,1,2,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [2,1,7,8,3,4,5,6]=>[2,1,7,3,8,4,5,6]=>[6,5,4,8,3,7,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>9 [2,7,1,8,3,4,5,6]=>[2,1,7,3,4,8,5,6]=>[6,5,8,4,3,7,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>10 [2,7,1,3,4,8,5,6]=>[2,7,1,3,4,8,5,6]=>[6,5,8,4,3,1,7,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>8 [2,1,3,7,4,8,5,6]=>[2,7,1,8,3,4,5,6]=>[6,5,4,3,8,1,7,2]=>[[1,5],[2,7],[3,8],[4],[6]]=>6 [2,1,3,7,8,4,5,6]=>[7,2,1,8,3,4,5,6]=>[6,5,4,3,8,1,2,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [2,3,1,7,8,4,5,6]=>[7,2,8,3,1,4,5,6]=>[6,5,4,1,3,8,2,7]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [2,3,7,8,1,4,5,6]=>[2,7,3,1,8,4,5,6]=>[6,5,4,8,1,3,7,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [2,1,7,3,4,5,8,6]=>[2,1,3,7,8,4,5,6]=>[6,5,4,8,7,3,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>6 [2,7,1,3,4,5,8,6]=>[2,1,3,4,7,8,5,6]=>[6,5,8,7,4,3,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [2,3,7,1,4,5,8,6]=>[2,3,1,7,8,4,5,6]=>[6,5,4,8,7,1,3,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>7 [2,1,3,4,7,5,8,6]=>[7,2,8,1,3,4,5,6]=>[6,5,4,3,1,8,2,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [2,3,4,1,7,5,8,6]=>[7,2,3,4,8,1,5,6]=>[6,5,1,8,4,3,2,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [2,3,4,7,1,5,8,6]=>[2,7,3,4,8,1,5,6]=>[6,5,1,8,4,3,7,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [2,1,3,4,7,8,5,6]=>[7,8,2,1,3,4,5,6]=>[6,5,4,3,1,2,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [2,3,1,4,7,8,5,6]=>[7,8,2,3,1,4,5,6]=>[6,5,4,1,3,2,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [2,3,4,1,7,8,5,6]=>[7,8,2,3,4,1,5,6]=>[6,5,1,4,3,2,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [2,3,4,7,1,8,5,6]=>[2,7,8,3,4,1,5,6]=>[6,5,1,4,3,8,7,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [2,3,4,7,8,1,5,6]=>[7,2,8,3,4,1,5,6]=>[6,5,1,4,3,8,2,7]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [2,7,1,3,4,5,6,8]=>[2,1,3,4,7,5,6,8]=>[8,6,5,7,4,3,1,2]=>[[1,4],[2,8],[3],[5],[6],[7]]=>6 [2,1,3,7,4,5,6,8]=>[2,1,7,3,4,5,6,8]=>[8,6,5,4,3,7,1,2]=>[[1,6],[2,8],[3],[4],[5],[7]]=>4 [2,3,7,1,4,5,6,8]=>[2,3,1,7,4,5,6,8]=>[8,6,5,4,7,1,3,2]=>[[1,5],[2,7],[3],[4],[6],[8]]=>6 [2,1,3,4,7,5,6,8]=>[7,2,1,3,4,5,6,8]=>[8,6,5,4,3,1,2,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [2,3,1,4,7,5,6,8]=>[7,2,3,1,4,5,6,8]=>[8,6,5,4,1,3,2,7]=>[[1,6,8],[2],[3],[4],[5],[7]]=>4 [2,3,4,1,7,5,6,8]=>[7,2,3,4,1,5,6,8]=>[8,6,5,1,4,3,2,7]=>[[1,5,8],[2],[3],[4],[6],[7]]=>5 [2,3,4,7,1,5,6,8]=>[2,7,3,4,1,5,6,8]=>[8,6,5,1,4,3,7,2]=>[[1,5,7],[2],[3],[4],[6],[8]]=>6 [2,3,4,5,7,1,6,8]=>[7,2,3,4,5,1,6,8]=>[8,6,1,5,4,3,2,7]=>[[1,4,8],[2],[3],[5],[6],[7]]=>6 [2,3,4,5,7,8,1,6]=>[7,8,2,3,4,5,1,6]=>[6,1,5,4,3,2,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [2,1,8,3,4,5,6,7]=>[2,1,3,4,8,5,6,7]=>[7,6,5,8,4,3,1,2]=>[[1,4],[2,8],[3],[5],[6],[7]]=>6 [2,8,1,3,4,5,6,7]=>[2,1,3,4,5,8,6,7]=>[7,6,8,5,4,3,1,2]=>[[1,3],[2,8],[4],[5],[6],[7]]=>7 [2,1,3,8,4,5,6,7]=>[2,1,3,8,4,5,6,7]=>[7,6,5,4,8,3,1,2]=>[[1,5],[2,8],[3],[4],[6],[7]]=>5 [2,3,1,8,4,5,6,7]=>[2,3,1,8,4,5,6,7]=>[7,6,5,4,8,1,3,2]=>[[1,5],[2,7],[3],[4],[6],[8]]=>6 [2,3,8,1,4,5,6,7]=>[2,3,1,4,8,5,6,7]=>[7,6,5,8,4,1,3,2]=>[[1,4],[2,7],[3],[5],[6],[8]]=>7 [2,1,3,4,8,5,6,7]=>[2,1,8,3,4,5,6,7]=>[7,6,5,4,3,8,1,2]=>[[1,6],[2,8],[3],[4],[5],[7]]=>4 [2,3,4,1,8,5,6,7]=>[2,8,3,4,1,5,6,7]=>[7,6,5,1,4,3,8,2]=>[[1,5,7],[2],[3],[4],[6],[8]]=>6 [2,3,4,8,1,5,6,7]=>[2,3,8,4,1,5,6,7]=>[7,6,5,1,4,8,3,2]=>[[1,5,6],[2],[3],[4],[7],[8]]=>7 [2,1,3,4,5,8,6,7]=>[8,2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [2,3,1,4,5,8,6,7]=>[8,2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>4 [2,3,4,1,5,8,6,7]=>[8,2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>5 [2,3,4,5,8,1,6,7]=>[2,8,3,4,5,1,6,7]=>[7,6,1,5,4,3,8,2]=>[[1,4,7],[2],[3],[5],[6],[8]]=>7 [2,3,4,5,6,8,1,7]=>[8,2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>7 [3,1,4,2,6,5,8,7]=>[1,3,4,6,8,2,5,7]=>[7,5,2,8,6,4,3,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>5 [3,4,1,2,6,5,8,7]=>[3,1,4,6,8,2,5,7]=>[7,5,2,8,6,4,1,3]=>[[1,4],[2,5],[3,6],[7,8]]=>6 [3,1,4,6,2,5,8,7]=>[6,1,3,4,8,2,5,7]=>[7,5,2,8,4,3,1,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [3,4,1,6,2,5,8,7]=>[3,4,1,6,8,2,5,7]=>[7,5,2,8,6,1,4,3]=>[[1,4],[2,5],[3,7],[6,8]]=>7 [3,1,4,2,6,8,5,7]=>[8,1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [3,4,1,6,2,8,5,7]=>[3,4,6,1,8,2,5,7]=>[7,5,2,8,1,6,4,3]=>[[1,4],[2,6],[3,7],[5,8]]=>8 [3,1,4,6,8,2,5,7]=>[8,6,1,3,4,2,5,7]=>[7,5,2,4,3,1,6,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>8 [3,4,6,1,8,2,5,7]=>[6,8,3,1,4,2,5,7]=>[7,5,2,4,1,3,8,6]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [3,1,4,2,6,5,7,8]=>[1,3,4,6,2,5,7,8]=>[8,7,5,2,6,4,3,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>4 [3,1,4,6,2,7,5,8]=>[6,1,3,4,7,2,5,8]=>[8,5,2,7,4,3,1,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [3,4,1,6,2,7,5,8]=>[3,4,1,6,7,2,5,8]=>[8,5,2,7,6,1,4,3]=>[[1,4],[2,5],[3,7],[6],[8]]=>7 [3,4,6,1,2,7,5,8]=>[6,3,1,4,7,2,5,8]=>[8,5,2,7,4,1,3,6]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [3,1,4,6,7,2,5,8]=>[6,7,1,3,4,2,5,8]=>[8,5,2,4,3,1,7,6]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [3,4,1,6,7,2,5,8]=>[3,4,6,1,7,2,5,8]=>[8,5,2,7,1,6,4,3]=>[[1,4],[2,6],[3,7],[5],[8]]=>8 [3,4,6,7,1,2,5,8]=>[6,7,3,1,4,2,5,8]=>[8,5,2,4,1,3,7,6]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [3,1,4,2,6,7,8,5]=>[1,3,4,6,7,8,2,5]=>[5,2,8,7,6,4,3,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>6 [3,4,1,2,6,7,8,5]=>[3,1,4,6,7,8,2,5]=>[5,2,8,7,6,4,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [3,4,1,6,2,7,8,5]=>[3,4,1,6,7,8,2,5]=>[5,2,8,7,6,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>8 [3,1,4,6,7,2,8,5]=>[6,7,1,3,4,8,2,5]=>[5,2,8,4,3,1,7,6]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [3,4,1,6,7,2,8,5]=>[3,4,6,1,7,8,2,5]=>[5,2,8,7,1,6,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>9 [3,4,6,1,7,2,8,5]=>[6,3,4,1,7,8,2,5]=>[5,2,8,7,1,4,3,6]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [3,1,4,6,7,8,2,5]=>[6,7,8,1,3,4,2,5]=>[5,2,4,3,1,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [3,4,1,6,7,8,2,5]=>[3,4,6,7,1,8,2,5]=>[5,2,8,1,7,6,4,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>10 [3,4,6,1,7,8,2,5]=>[6,3,4,7,1,8,2,5]=>[5,2,8,1,7,4,3,6]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [3,4,6,7,1,8,2,5]=>[6,7,3,4,1,8,2,5]=>[5,2,8,1,4,3,7,6]=>[[1,3,7],[2,5,8],[4,6]]=>12 [3,4,6,7,8,1,2,5]=>[6,7,8,3,1,4,2,5]=>[5,2,4,1,3,8,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>13 [3,1,4,2,7,5,8,6]=>[7,1,3,4,8,2,5,6]=>[6,5,2,8,4,3,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [3,4,1,2,7,5,8,6]=>[3,4,1,7,8,2,5,6]=>[6,5,2,8,7,1,4,3]=>[[1,4],[2,5],[3,7],[6,8]]=>7 [3,4,1,7,2,5,8,6]=>[7,3,1,4,8,2,5,6]=>[6,5,2,8,4,1,3,7]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [3,4,1,2,7,8,5,6]=>[3,4,7,1,8,2,5,6]=>[6,5,2,8,1,7,4,3]=>[[1,4],[2,6],[3,7],[5,8]]=>8 [3,4,1,7,2,8,5,6]=>[7,3,4,1,8,2,5,6]=>[6,5,2,8,1,4,3,7]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [3,4,7,1,8,2,5,6]=>[3,7,1,8,4,2,5,6]=>[6,5,2,4,8,1,7,3]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [3,4,7,8,1,2,5,6]=>[7,3,1,8,4,2,5,6]=>[6,5,2,4,8,1,3,7]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [3,4,1,2,7,5,6,8]=>[3,4,1,7,2,5,6,8]=>[8,6,5,2,7,1,4,3]=>[[1,5],[2,7],[3,8],[4],[6]]=>6 [3,1,4,7,2,5,6,8]=>[3,7,1,4,2,5,6,8]=>[8,6,5,2,4,1,7,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [3,4,7,1,2,5,6,8]=>[3,1,7,4,2,5,6,8]=>[8,6,5,2,4,7,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [3,1,4,2,5,7,6,8]=>[1,3,4,7,2,5,6,8]=>[8,6,5,2,7,4,3,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>4 [3,4,1,5,2,7,6,8]=>[3,1,4,5,7,2,6,8]=>[8,6,2,7,5,4,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>6 [3,4,5,1,2,7,6,8]=>[3,4,1,5,7,2,6,8]=>[8,6,2,7,5,1,4,3]=>[[1,4],[2,5],[3,7],[6],[8]]=>7 [3,4,1,5,7,2,6,8]=>[3,7,1,4,5,2,6,8]=>[8,6,2,5,4,1,7,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [3,4,5,1,7,2,6,8]=>[3,4,5,1,7,2,6,8]=>[8,6,2,7,1,5,4,3]=>[[1,4],[2,6],[3,7],[5],[8]]=>8 [3,1,4,2,5,7,8,6]=>[1,3,4,7,8,2,5,6]=>[6,5,2,8,7,4,3,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>5 [3,1,4,5,2,7,8,6]=>[1,3,4,5,7,8,2,6]=>[6,2,8,7,5,4,3,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>6 [3,4,1,5,2,7,8,6]=>[3,1,4,5,7,8,2,6]=>[6,2,8,7,5,4,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [3,4,5,1,2,7,8,6]=>[3,4,1,5,7,8,2,6]=>[6,2,8,7,5,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>8 [3,1,4,5,7,2,8,6]=>[7,1,3,4,5,8,2,6]=>[6,2,8,5,4,3,1,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [3,4,1,5,7,2,8,6]=>[3,7,1,4,5,8,2,6]=>[6,2,8,5,4,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [3,4,5,1,7,2,8,6]=>[3,4,5,1,7,8,2,6]=>[6,2,8,7,1,5,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>9 [3,1,4,5,7,8,2,6]=>[7,8,1,3,4,5,2,6]=>[6,2,5,4,3,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [3,4,1,5,7,8,2,6]=>[3,7,8,1,4,5,2,6]=>[6,2,5,4,1,8,7,3]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [3,4,5,1,7,8,2,6]=>[3,4,5,7,1,8,2,6]=>[6,2,8,1,7,5,4,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>10 [3,4,5,7,8,1,2,6]=>[7,8,3,4,1,5,2,6]=>[6,2,5,1,4,3,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [3,1,4,2,8,5,6,7]=>[3,8,1,4,2,5,6,7]=>[7,6,5,2,4,1,8,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [3,4,1,8,2,5,6,7]=>[3,1,8,4,2,5,6,7]=>[7,6,5,2,4,8,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [3,4,8,1,2,5,6,7]=>[3,1,4,2,8,5,6,7]=>[7,6,5,8,2,4,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>9 [3,4,1,2,5,8,6,7]=>[3,4,1,8,2,5,6,7]=>[7,6,5,2,8,1,4,3]=>[[1,5],[2,7],[3,8],[4],[6]]=>6 [3,4,1,2,5,6,8,7]=>[3,1,4,8,2,5,6,7]=>[7,6,5,2,8,4,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>5 [3,4,5,1,2,6,8,7]=>[3,4,1,5,8,2,6,7]=>[7,6,2,8,5,1,4,3]=>[[1,4],[2,5],[3,7],[6],[8]]=>7 [3,1,4,5,6,2,8,7]=>[1,3,4,5,6,8,2,7]=>[7,2,8,6,5,4,3,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>6 [3,4,1,5,6,2,8,7]=>[3,1,4,5,6,8,2,7]=>[7,2,8,6,5,4,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [3,4,5,1,6,2,8,7]=>[3,4,1,5,6,8,2,7]=>[7,2,8,6,5,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>8 [3,4,1,5,6,8,2,7]=>[3,8,1,4,5,6,2,7]=>[7,2,6,5,4,1,8,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [3,4,5,6,1,8,2,7]=>[3,4,5,6,1,8,2,7]=>[7,2,8,1,6,5,4,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>10 [3,4,5,6,8,1,2,7]=>[8,3,4,5,1,6,2,7]=>[7,2,6,1,5,4,3,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [3,1,4,2,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[8,7,6,5,2,4,3,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>3 [3,1,4,5,2,6,7,8]=>[1,3,4,5,2,6,7,8]=>[8,7,6,2,5,4,3,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>4 [3,4,1,5,2,6,7,8]=>[3,1,4,5,2,6,7,8]=>[8,7,6,2,5,4,1,3]=>[[1,5],[2,8],[3],[4],[6],[7]]=>5 [3,4,1,5,6,2,7,8]=>[3,1,4,5,6,2,7,8]=>[8,7,2,6,5,4,1,3]=>[[1,4],[2,8],[3],[5],[6],[7]]=>6 [3,4,5,1,6,2,7,8]=>[3,4,1,5,6,2,7,8]=>[8,7,2,6,5,1,4,3]=>[[1,4],[2,7],[3],[5],[6],[8]]=>7 [3,1,4,5,6,7,2,8]=>[1,3,4,5,6,7,2,8]=>[8,2,7,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>6 [3,4,1,5,6,7,2,8]=>[3,1,4,5,6,7,2,8]=>[8,2,7,6,5,4,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>7 [3,4,5,1,6,7,2,8]=>[3,4,1,5,6,7,2,8]=>[8,2,7,6,5,1,4,3]=>[[1,3],[2,7],[4],[5],[6],[8]]=>8 [3,4,5,6,1,7,2,8]=>[3,4,5,1,6,7,2,8]=>[8,2,7,6,1,5,4,3]=>[[1,3],[2,6],[4],[5],[7],[8]]=>9 [3,1,4,5,6,7,8,2]=>[1,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>7 [3,4,1,5,6,7,8,2]=>[3,1,4,5,6,7,8,2]=>[2,8,7,6,5,4,1,3]=>[[1,2],[3,8],[4],[5],[6],[7]]=>8 [3,4,5,1,6,7,8,2]=>[3,4,1,5,6,7,8,2]=>[2,8,7,6,5,1,4,3]=>[[1,2],[3,7],[4],[5],[6],[8]]=>9 [3,4,5,6,1,7,8,2]=>[3,4,5,1,6,7,8,2]=>[2,8,7,6,1,5,4,3]=>[[1,2],[3,6],[4],[5],[7],[8]]=>10 [3,4,5,6,7,1,8,2]=>[3,4,5,6,1,7,8,2]=>[2,8,7,1,6,5,4,3]=>[[1,2],[3,5],[4],[6],[7],[8]]=>11 [3,1,5,2,6,4,8,7]=>[3,1,5,6,8,2,4,7]=>[7,4,2,8,6,5,1,3]=>[[1,4],[2,5],[3,6],[7,8]]=>6 [3,5,1,2,6,4,8,7]=>[1,5,3,6,8,2,4,7]=>[7,4,2,8,6,3,5,1]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [3,5,1,6,2,4,8,7]=>[5,3,1,6,8,2,4,7]=>[7,4,2,8,6,1,3,5]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [3,1,5,6,2,8,4,7]=>[3,5,6,1,8,2,4,7]=>[7,4,2,8,1,6,5,3]=>[[1,4],[2,6],[3,7],[5,8]]=>8 [3,1,5,6,8,2,4,7]=>[8,3,5,1,6,2,4,7]=>[7,4,2,6,1,5,3,8]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [3,5,6,1,8,2,4,7]=>[5,6,1,8,3,2,4,7]=>[7,4,2,3,8,1,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [3,1,5,2,6,4,7,8]=>[3,1,5,6,2,4,7,8]=>[8,7,4,2,6,5,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>5 [3,5,1,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[8,7,4,2,6,3,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [3,1,5,6,2,4,7,8]=>[3,5,1,6,2,4,7,8]=>[8,7,4,2,6,1,5,3]=>[[1,5],[2,7],[3,8],[4],[6]]=>6 [3,5,1,6,2,4,7,8]=>[5,3,1,6,2,4,7,8]=>[8,7,4,2,6,1,3,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [3,5,6,1,2,4,7,8]=>[5,1,6,3,2,4,7,8]=>[8,7,4,2,3,6,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [3,1,5,2,6,7,4,8]=>[3,1,5,6,7,2,4,8]=>[8,4,2,7,6,5,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>6 [3,1,5,6,2,7,4,8]=>[3,5,1,6,7,2,4,8]=>[8,4,2,7,6,1,5,3]=>[[1,4],[2,5],[3,7],[6],[8]]=>7 [3,5,1,6,2,7,4,8]=>[5,3,1,6,7,2,4,8]=>[8,4,2,7,6,1,3,5]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [3,1,5,6,7,2,4,8]=>[3,5,6,1,7,2,4,8]=>[8,4,2,7,1,6,5,3]=>[[1,4],[2,6],[3,7],[5],[8]]=>8 [3,5,1,6,7,2,4,8]=>[5,3,6,1,7,2,4,8]=>[8,4,2,7,1,6,3,5]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [3,5,6,1,7,2,4,8]=>[5,6,3,1,7,2,4,8]=>[8,4,2,7,1,3,6,5]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [3,5,6,7,1,2,4,8]=>[5,6,1,7,3,2,4,8]=>[8,4,2,3,7,1,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [3,1,5,2,6,7,8,4]=>[3,1,5,6,7,8,2,4]=>[4,2,8,7,6,5,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [3,5,1,2,6,7,8,4]=>[1,5,3,6,7,8,2,4]=>[4,2,8,7,6,3,5,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [3,1,5,6,2,7,8,4]=>[3,5,1,6,7,8,2,4]=>[4,2,8,7,6,1,5,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>8 [3,5,6,1,2,7,8,4]=>[5,1,6,3,7,8,2,4]=>[4,2,8,7,3,6,1,5]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [3,1,5,6,7,2,8,4]=>[3,5,6,1,7,8,2,4]=>[4,2,8,7,1,6,5,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>9 [3,5,1,6,7,2,8,4]=>[5,3,6,1,7,8,2,4]=>[4,2,8,7,1,6,3,5]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [3,5,6,1,7,2,8,4]=>[5,6,3,1,7,8,2,4]=>[4,2,8,7,1,3,6,5]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [3,5,6,7,1,2,8,4]=>[5,6,1,7,3,8,2,4]=>[4,2,8,3,7,1,6,5]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [3,1,5,6,7,8,2,4]=>[3,5,6,7,1,8,2,4]=>[4,2,8,1,7,6,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>10 [3,5,1,6,7,8,2,4]=>[5,3,6,7,1,8,2,4]=>[4,2,8,1,7,6,3,5]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [3,5,6,1,7,8,2,4]=>[5,6,3,7,1,8,2,4]=>[4,2,8,1,7,3,6,5]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [3,5,6,7,1,8,2,4]=>[5,6,7,3,1,8,2,4]=>[4,2,8,1,3,7,6,5]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [3,1,5,2,7,4,8,6]=>[3,5,1,7,8,2,4,6]=>[6,4,2,8,7,1,5,3]=>[[1,4],[2,5],[3,7],[6,8]]=>7 [3,5,1,2,7,4,8,6]=>[5,3,1,7,8,2,4,6]=>[6,4,2,8,7,1,3,5]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [3,1,5,7,2,4,8,6]=>[7,3,1,5,8,2,4,6]=>[6,4,2,8,5,1,3,7]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [3,5,1,2,7,8,4,6]=>[5,3,7,1,8,2,4,6]=>[6,4,2,8,1,7,3,5]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [3,5,1,7,2,8,4,6]=>[5,7,3,1,8,2,4,6]=>[6,4,2,8,1,3,7,5]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [3,5,7,1,2,8,4,6]=>[7,5,3,1,8,2,4,6]=>[6,4,2,8,1,3,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [3,1,5,7,8,2,4,6]=>[7,8,3,1,5,2,4,6]=>[6,4,2,5,1,3,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [3,5,7,1,8,2,4,6]=>[7,5,1,8,3,2,4,6]=>[6,4,2,3,8,1,5,7]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [3,5,7,8,1,2,4,6]=>[7,1,8,5,3,2,4,6]=>[6,4,2,3,5,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [3,5,1,7,2,4,6,8]=>[5,1,7,3,2,4,6,8]=>[8,6,4,2,3,7,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [3,5,7,1,2,4,6,8]=>[1,7,5,3,2,4,6,8]=>[8,6,4,2,3,5,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>9 [3,1,5,2,4,7,6,8]=>[3,1,5,7,2,4,6,8]=>[8,6,4,2,7,5,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>5 [3,5,1,2,4,7,6,8]=>[1,5,3,7,2,4,6,8]=>[8,6,4,2,7,3,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [3,1,2,5,4,7,6,8]=>[1,3,5,7,2,4,6,8]=>[8,6,4,2,7,5,3,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>4 [1,3,2,5,7,4,6,8]=>[7,3,5,1,2,4,6,8]=>[8,6,4,2,1,5,3,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,3,5,2,7,4,6,8]=>[5,7,3,1,2,4,6,8]=>[8,6,4,2,1,3,7,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [1,3,5,7,2,4,6,8]=>[7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [3,1,5,2,4,7,8,6]=>[3,1,5,7,8,2,4,6]=>[6,4,2,8,7,5,1,3]=>[[1,4],[2,5],[3,6],[7,8]]=>6 [3,1,2,5,7,4,8,6]=>[7,1,3,5,8,2,4,6]=>[6,4,2,8,5,3,1,7]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [1,3,2,5,7,4,8,6]=>[7,3,5,8,1,2,4,6]=>[6,4,2,1,8,5,3,7]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,3,5,7,2,4,8,6]=>[7,5,3,8,1,2,4,6]=>[6,4,2,1,8,3,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,3,2,5,7,8,4,6]=>[7,8,3,5,1,2,4,6]=>[6,4,2,1,5,3,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [1,3,5,2,7,8,4,6]=>[5,7,8,3,1,2,4,6]=>[6,4,2,1,3,8,7,5]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [1,3,5,7,2,8,4,6]=>[7,5,8,3,1,2,4,6]=>[6,4,2,1,3,8,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [1,3,5,7,8,2,4,6]=>[7,8,5,3,1,2,4,6]=>[6,4,2,1,3,5,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [3,5,1,2,8,4,6,7]=>[5,1,8,3,2,4,6,7]=>[7,6,4,2,3,8,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [3,5,1,8,2,4,6,7]=>[1,8,5,3,2,4,6,7]=>[7,6,4,2,3,5,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>9 [3,5,8,1,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>[7,6,4,5,2,3,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [3,1,5,2,4,8,6,7]=>[3,5,1,8,2,4,6,7]=>[7,6,4,2,8,1,5,3]=>[[1,5],[2,7],[3,8],[4],[6]]=>6 [1,3,2,5,4,8,6,7]=>[8,3,5,1,2,4,6,7]=>[7,6,4,2,1,5,3,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,3,5,2,4,8,6,7]=>[5,8,3,1,2,4,6,7]=>[7,6,4,2,1,3,8,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [3,1,2,5,8,4,6,7]=>[3,8,1,5,2,4,6,7]=>[7,6,4,2,5,1,8,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [1,3,2,5,8,4,6,7]=>[3,8,5,1,2,4,6,7]=>[7,6,4,2,1,5,8,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [1,3,5,2,8,4,6,7]=>[8,5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [1,3,5,8,2,4,6,7]=>[8,5,1,3,2,4,6,7]=>[7,6,4,2,3,1,5,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>7 [3,1,5,2,4,6,8,7]=>[3,1,5,8,2,4,6,7]=>[7,6,4,2,8,5,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>5 [3,5,1,2,4,6,8,7]=>[1,5,3,8,2,4,6,7]=>[7,6,4,2,8,3,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [1,3,5,2,4,6,8,7]=>[5,3,8,1,2,4,6,7]=>[7,6,4,2,1,8,3,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,3,5,2,6,4,8,7]=>[5,3,6,8,1,2,4,7]=>[7,4,2,1,8,6,3,5]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,3,5,6,2,4,8,7]=>[5,6,3,8,1,2,4,7]=>[7,4,2,1,8,3,6,5]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [1,3,2,5,6,8,4,7]=>[8,3,5,6,1,2,4,7]=>[7,4,2,1,6,5,3,8]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [3,1,5,2,4,6,7,8]=>[3,1,5,2,4,6,7,8]=>[8,7,6,4,2,5,1,3]=>[[1,6],[2,8],[3],[4],[5],[7]]=>4 [1,3,5,2,4,6,7,8]=>[5,3,1,2,4,6,7,8]=>[8,7,6,4,2,1,3,5]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [3,1,2,5,6,4,7,8]=>[1,3,5,6,2,4,7,8]=>[8,7,4,2,6,5,3,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>4 [1,3,5,2,6,4,7,8]=>[5,3,6,1,2,4,7,8]=>[8,7,4,2,1,6,3,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,3,5,6,2,4,7,8]=>[5,6,3,1,2,4,7,8]=>[8,7,4,2,1,3,6,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [1,3,5,2,6,7,4,8]=>[5,3,6,7,1,2,4,8]=>[8,4,2,1,7,6,3,5]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,3,5,6,2,7,4,8]=>[5,6,3,7,1,2,4,8]=>[8,4,2,1,7,3,6,5]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [1,3,5,6,7,2,4,8]=>[5,6,7,3,1,2,4,8]=>[8,4,2,1,3,7,6,5]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [3,1,2,5,6,7,8,4]=>[1,3,5,6,7,8,2,4]=>[4,2,8,7,6,5,3,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>6 [1,3,5,2,6,7,8,4]=>[5,3,6,7,8,1,2,4]=>[4,2,1,8,7,6,3,5]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [1,3,5,6,7,2,8,4]=>[5,6,7,3,8,1,2,4]=>[4,2,1,8,3,7,6,5]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [1,3,5,6,7,8,2,4]=>[5,6,7,8,3,1,2,4]=>[4,2,1,3,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [3,1,6,2,7,4,8,5]=>[6,3,1,7,8,2,4,5]=>[5,4,2,8,7,1,3,6]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [3,6,1,2,7,4,8,5]=>[1,3,6,2,7,8,4,5]=>[5,4,8,7,2,6,3,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>9 [3,6,1,7,2,4,8,5]=>[3,1,6,2,7,8,4,5]=>[5,4,8,7,2,6,1,3]=>[[1,3],[2,4],[5,6],[7,8]]=>10 [3,6,7,1,2,4,8,5]=>[1,6,3,2,7,8,4,5]=>[5,4,8,7,2,3,6,1]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [3,6,1,2,7,8,4,5]=>[1,3,6,7,2,8,4,5]=>[5,4,8,2,7,6,3,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>10 [3,1,6,7,2,8,4,5]=>[6,7,3,1,8,2,4,5]=>[5,4,2,8,1,3,7,6]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [3,6,1,7,2,8,4,5]=>[3,1,6,7,2,8,4,5]=>[5,4,8,2,7,6,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>11 [3,6,7,1,2,8,4,5]=>[1,6,3,7,2,8,4,5]=>[5,4,8,2,7,3,6,1]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [3,1,6,7,8,2,4,5]=>[6,7,1,8,3,2,4,5]=>[5,4,2,3,8,1,7,6]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [3,6,1,7,8,2,4,5]=>[3,6,1,7,2,8,4,5]=>[5,4,8,2,7,1,6,3]=>[[1,3],[2,5],[4,7],[6,8]]=>12 [3,6,7,1,8,2,4,5]=>[6,3,1,7,2,8,4,5]=>[5,4,8,2,7,1,3,6]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [3,6,1,2,7,4,5,8]=>[1,3,6,2,7,4,5,8]=>[8,5,4,7,2,6,3,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>8 [3,1,6,7,2,4,5,8]=>[6,1,7,3,2,4,5,8]=>[8,5,4,2,3,7,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [3,6,1,7,2,4,5,8]=>[3,1,6,2,7,4,5,8]=>[8,5,4,7,2,6,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>9 [3,1,6,2,4,7,5,8]=>[1,6,3,7,2,4,5,8]=>[8,5,4,2,7,3,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [3,1,2,6,4,7,5,8]=>[3,1,6,7,2,4,5,8]=>[8,5,4,2,7,6,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>5 [1,3,2,6,4,7,5,8]=>[6,3,7,1,2,4,5,8]=>[8,5,4,2,1,7,3,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,3,2,6,7,4,5,8]=>[6,7,3,1,2,4,5,8]=>[8,5,4,2,1,3,7,6]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [1,3,6,7,2,4,5,8]=>[1,6,7,3,2,4,5,8]=>[8,5,4,2,3,7,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [3,1,6,2,4,7,8,5]=>[1,6,3,7,8,2,4,5]=>[5,4,2,8,7,3,6,1]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [3,6,1,2,4,7,8,5]=>[1,3,2,6,7,8,4,5]=>[5,4,8,7,6,2,3,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>8 [3,1,2,6,4,7,8,5]=>[3,1,6,7,8,2,4,5]=>[5,4,2,8,7,6,1,3]=>[[1,4],[2,5],[3,6],[7,8]]=>6 [1,3,2,6,4,7,8,5]=>[6,3,7,8,1,2,4,5]=>[5,4,2,1,8,7,3,6]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [3,1,2,6,7,4,8,5]=>[3,6,1,7,8,2,4,5]=>[5,4,2,8,7,1,6,3]=>[[1,4],[2,5],[3,7],[6,8]]=>7 [1,3,2,6,7,4,8,5]=>[6,7,3,8,1,2,4,5]=>[5,4,2,1,8,3,7,6]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [1,3,6,2,7,4,8,5]=>[6,7,1,3,8,2,4,5]=>[5,4,2,8,3,1,7,6]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [3,1,2,6,7,8,4,5]=>[3,6,7,1,8,2,4,5]=>[5,4,2,8,1,7,6,3]=>[[1,4],[2,6],[3,7],[5,8]]=>8 [1,3,6,2,7,8,4,5]=>[6,7,8,1,3,2,4,5]=>[5,4,2,3,1,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [3,1,6,2,8,4,5,7]=>[6,1,8,3,2,4,5,7]=>[7,5,4,2,3,8,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [3,6,1,2,8,4,5,7]=>[3,1,6,2,8,4,5,7]=>[7,5,4,8,2,6,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>9 [3,1,6,8,2,4,5,7]=>[1,8,6,3,2,4,5,7]=>[7,5,4,2,3,6,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>9 [3,6,1,8,2,4,5,7]=>[1,6,3,2,8,4,5,7]=>[7,5,4,8,2,3,6,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [3,1,6,2,4,8,5,7]=>[6,3,1,8,2,4,5,7]=>[7,5,4,2,8,1,3,6]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [3,6,1,2,4,8,5,7]=>[1,3,6,2,8,4,5,7]=>[7,5,4,8,2,6,3,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>8 [3,1,2,6,4,8,5,7]=>[3,6,1,8,2,4,5,7]=>[7,5,4,2,8,1,6,3]=>[[1,5],[2,7],[3,8],[4],[6]]=>6 [1,3,6,2,4,8,5,7]=>[6,8,1,3,2,4,5,7]=>[7,5,4,2,3,1,8,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [3,1,2,6,8,4,5,7]=>[8,3,1,6,2,4,5,7]=>[7,5,4,2,6,1,3,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [1,3,6,2,4,5,8,7]=>[6,1,3,8,2,4,5,7]=>[7,5,4,2,8,3,1,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [1,3,4,6,2,5,8,7]=>[6,3,4,8,1,2,5,7]=>[7,5,2,1,8,4,3,6]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,3,2,4,6,8,5,7]=>[8,3,6,1,2,4,5,7]=>[7,5,4,2,1,6,3,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,3,4,6,2,8,5,7]=>[6,8,3,4,1,2,5,7]=>[7,5,2,1,4,3,8,6]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [3,6,1,2,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[8,7,5,4,6,2,3,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>6 [3,1,2,6,4,5,7,8]=>[3,1,6,2,4,5,7,8]=>[8,7,5,4,2,6,1,3]=>[[1,6],[2,8],[3],[4],[5],[7]]=>4 [3,1,2,4,6,7,5,8]=>[1,3,6,7,2,4,5,8]=>[8,5,4,2,7,6,3,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>4 [1,3,4,6,2,7,5,8]=>[6,3,4,7,1,2,5,8]=>[8,5,2,1,7,4,3,6]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,3,4,6,7,2,5,8]=>[6,7,3,4,1,2,5,8]=>[8,5,2,1,4,3,7,6]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [1,3,4,6,2,7,8,5]=>[6,3,4,7,8,1,2,5]=>[5,2,1,8,7,4,3,6]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [1,3,4,6,7,2,8,5]=>[6,7,3,4,8,1,2,5]=>[5,2,1,8,4,3,7,6]=>[[1,4,7],[2,5,8],[3,6]]=>7 [3,7,1,8,2,4,5,6]=>[1,7,3,2,4,8,5,6]=>[6,5,8,4,2,3,7,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [3,7,8,1,2,4,5,6]=>[1,3,2,7,4,8,5,6]=>[6,5,8,4,7,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [3,1,7,2,4,8,5,6]=>[1,3,7,2,8,4,5,6]=>[6,5,4,8,2,7,3,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>8 [3,7,1,2,4,8,5,6]=>[1,3,7,2,4,8,5,6]=>[6,5,8,4,2,7,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>9 [3,1,2,7,4,8,5,6]=>[7,3,1,8,2,4,5,6]=>[6,5,4,2,8,1,3,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [1,3,2,7,4,8,5,6]=>[7,8,1,3,2,4,5,6]=>[6,5,4,2,3,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [1,3,7,2,4,8,5,6]=>[3,7,1,2,8,4,5,6]=>[6,5,4,8,2,1,7,3]=>[[1,4],[2,7],[3,8],[5],[6]]=>7 [3,1,7,2,4,5,8,6]=>[1,3,2,7,8,4,5,6]=>[6,5,4,8,7,2,3,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>7 [3,7,1,2,4,5,8,6]=>[1,3,2,4,7,8,5,6]=>[6,5,8,7,4,2,3,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>8 [1,3,2,7,4,5,8,6]=>[7,1,3,8,2,4,5,6]=>[6,5,4,2,8,3,1,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [1,3,7,2,4,5,8,6]=>[3,1,2,7,8,4,5,6]=>[6,5,4,8,7,2,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>6 [3,1,2,4,7,5,8,6]=>[3,1,7,8,2,4,5,6]=>[6,5,4,2,8,7,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>5 [1,3,4,2,7,5,8,6]=>[7,3,4,8,1,2,5,6]=>[6,5,2,1,8,4,3,7]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,3,4,7,2,5,8,6]=>[3,7,4,8,1,2,5,6]=>[6,5,2,1,8,4,7,3]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [1,3,2,4,7,8,5,6]=>[7,8,3,1,2,4,5,6]=>[6,5,4,2,1,3,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [1,3,4,2,7,8,5,6]=>[7,8,3,4,1,2,5,6]=>[6,5,2,1,4,3,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [3,1,7,2,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[8,6,5,4,7,2,3,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>6 [3,7,1,2,4,5,6,8]=>[1,3,2,4,7,5,6,8]=>[8,6,5,7,4,2,3,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>7 [3,1,2,7,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[8,6,5,4,2,3,7,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>5 [1,3,2,7,4,5,6,8]=>[7,1,3,2,4,5,6,8]=>[8,6,5,4,2,3,1,7]=>[[1,6,8],[2],[3],[4],[5],[7]]=>4 [1,3,2,4,7,5,6,8]=>[7,3,1,2,4,5,6,8]=>[8,6,5,4,2,1,3,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [1,3,4,2,7,5,6,8]=>[7,3,4,1,2,5,6,8]=>[8,6,5,2,1,4,3,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [3,1,2,4,5,7,6,8]=>[1,3,7,2,4,5,6,8]=>[8,6,5,4,2,7,3,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>3 [1,3,4,5,7,2,6,8]=>[7,3,4,5,1,2,6,8]=>[8,6,2,1,5,4,3,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [1,3,4,5,7,8,2,6]=>[7,8,3,4,5,1,2,6]=>[6,2,1,5,4,3,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [3,1,8,2,4,5,6,7]=>[1,3,2,4,8,5,6,7]=>[7,6,5,8,4,2,3,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>7 [3,8,1,2,4,5,6,7]=>[1,3,2,4,5,8,6,7]=>[7,6,8,5,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>8 [3,1,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[7,6,5,4,8,2,3,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>6 [1,3,2,8,4,5,6,7]=>[3,1,2,8,4,5,6,7]=>[7,6,5,4,8,2,1,3]=>[[1,5],[2,8],[3],[4],[6],[7]]=>5 [1,3,8,2,4,5,6,7]=>[3,1,2,4,8,5,6,7]=>[7,6,5,8,4,2,1,3]=>[[1,4],[2,8],[3],[5],[6],[7]]=>6 [3,1,2,4,8,5,6,7]=>[1,8,3,2,4,5,6,7]=>[7,6,5,4,2,3,8,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>5 [1,3,2,4,8,5,6,7]=>[8,1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>4 [3,1,2,4,5,8,6,7]=>[3,1,8,2,4,5,6,7]=>[7,6,5,4,2,8,1,3]=>[[1,6],[2,8],[3],[4],[5],[7]]=>4 [1,3,2,4,5,8,6,7]=>[8,3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [1,3,4,2,5,8,6,7]=>[8,3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,3,4,5,6,8,2,7]=>[8,3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [4,1,5,2,6,3,8,7]=>[4,1,2,5,6,8,3,7]=>[7,3,8,6,5,2,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [4,5,6,1,2,3,8,7]=>[4,1,5,2,6,8,3,7]=>[7,3,8,6,2,5,1,4]=>[[1,3],[2,4],[5,6],[7,8]]=>10 [4,1,5,2,6,8,3,7]=>[4,8,1,2,5,6,3,7]=>[7,3,6,5,2,1,8,4]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [4,5,1,2,6,8,3,7]=>[1,4,8,2,5,6,3,7]=>[7,3,6,5,2,8,4,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [4,1,5,6,2,8,3,7]=>[4,5,6,1,2,8,3,7]=>[7,3,8,2,1,6,5,4]=>[[1,3],[2,6],[4,7],[5,8]]=>9 [4,5,1,6,2,8,3,7]=>[1,4,5,6,2,8,3,7]=>[7,3,8,2,6,5,4,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>10 [4,5,6,1,2,8,3,7]=>[4,1,5,6,2,8,3,7]=>[7,3,8,2,6,5,1,4]=>[[1,3],[2,5],[4,6],[7,8]]=>11 [4,1,5,6,8,2,3,7]=>[8,4,5,1,2,6,3,7]=>[7,3,6,2,1,5,4,8]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [4,5,1,6,8,2,3,7]=>[8,1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [4,5,6,1,8,2,3,7]=>[4,5,1,6,2,8,3,7]=>[7,3,8,2,6,1,5,4]=>[[1,3],[2,5],[4,7],[6,8]]=>12 [4,5,6,8,1,2,3,7]=>[8,4,1,5,2,6,3,7]=>[7,3,6,2,5,1,4,8]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [4,1,5,2,6,3,7,8]=>[4,1,2,5,6,3,7,8]=>[8,7,3,6,5,2,1,4]=>[[1,4],[2,8],[3],[5],[6],[7]]=>6 [4,1,5,6,2,3,7,8]=>[4,5,1,2,6,3,7,8]=>[8,7,3,6,2,1,5,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>7 [4,5,1,6,2,3,7,8]=>[1,4,5,2,6,3,7,8]=>[8,7,3,6,2,5,4,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>8 [4,5,1,2,6,7,3,8]=>[1,4,2,5,6,7,3,8]=>[8,3,7,6,5,2,4,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>8 [4,1,5,6,2,7,3,8]=>[4,5,1,2,6,7,3,8]=>[8,3,7,6,2,1,5,4]=>[[1,3],[2,7],[4,8],[5],[6]]=>8 [4,5,1,6,2,7,3,8]=>[1,4,5,2,6,7,3,8]=>[8,3,7,6,2,5,4,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>9 [4,5,6,1,2,7,3,8]=>[4,1,5,2,6,7,3,8]=>[8,3,7,6,2,5,1,4]=>[[1,3],[2,6],[4,8],[5],[7]]=>10 [4,1,5,6,7,2,3,8]=>[4,5,6,1,2,7,3,8]=>[8,3,7,2,1,6,5,4]=>[[1,3],[2,6],[4,7],[5],[8]]=>9 [4,5,1,6,7,2,3,8]=>[1,4,5,6,2,7,3,8]=>[8,3,7,2,6,5,4,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>10 [4,5,6,1,7,2,3,8]=>[4,1,5,6,2,7,3,8]=>[8,3,7,2,6,5,1,4]=>[[1,3],[2,5],[4,8],[6],[7]]=>11 [4,1,5,2,6,7,8,3]=>[4,1,2,5,6,7,8,3]=>[3,8,7,6,5,2,1,4]=>[[1,2],[3,8],[4],[5],[6],[7]]=>8 [4,5,1,2,6,7,8,3]=>[1,4,2,5,6,7,8,3]=>[3,8,7,6,5,2,4,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>9 [4,5,1,6,2,7,8,3]=>[1,4,5,2,6,7,8,3]=>[3,8,7,6,2,5,4,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>10 [4,5,6,1,2,7,8,3]=>[4,1,5,2,6,7,8,3]=>[3,8,7,6,2,5,1,4]=>[[1,2],[3,6],[4,8],[5],[7]]=>11 [4,1,5,6,7,2,8,3]=>[4,5,6,1,2,7,8,3]=>[3,8,7,2,1,6,5,4]=>[[1,2],[3,6],[4,7],[5],[8]]=>10 [4,5,1,6,7,2,8,3]=>[1,4,5,6,2,7,8,3]=>[3,8,7,2,6,5,4,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>11 [4,5,6,1,7,2,8,3]=>[4,1,5,6,2,7,8,3]=>[3,8,7,2,6,5,1,4]=>[[1,2],[3,5],[4,8],[6],[7]]=>12 [4,5,6,7,1,2,8,3]=>[4,5,1,6,2,7,8,3]=>[3,8,7,2,6,1,5,4]=>[[1,2],[3,5],[4,7],[6],[8]]=>13 [4,1,5,6,7,8,2,3]=>[4,5,6,7,1,2,8,3]=>[3,8,2,1,7,6,5,4]=>[[1,2],[3,5],[4,6],[7],[8]]=>11 [4,5,1,6,7,8,2,3]=>[1,4,5,6,7,2,8,3]=>[3,8,2,7,6,5,4,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>12 [4,5,6,1,7,8,2,3]=>[4,1,5,6,7,2,8,3]=>[3,8,2,7,6,5,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>13 [4,5,6,7,1,8,2,3]=>[4,5,1,6,7,2,8,3]=>[3,8,2,7,6,1,5,4]=>[[1,2],[3,4],[5,7],[6],[8]]=>14 [4,1,5,2,7,3,8,6]=>[4,5,1,2,7,8,3,6]=>[6,3,8,7,2,1,5,4]=>[[1,3],[2,4],[5,7],[6,8]]=>8 [4,5,1,2,7,3,8,6]=>[1,4,5,2,7,8,3,6]=>[6,3,8,7,2,5,4,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>9 [4,1,5,7,2,3,8,6]=>[7,4,1,2,5,8,3,6]=>[6,3,8,5,2,1,4,7]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [4,5,1,7,2,3,8,6]=>[4,1,5,2,7,8,3,6]=>[6,3,8,7,2,5,1,4]=>[[1,3],[2,4],[5,6],[7,8]]=>10 [4,1,5,2,7,8,3,6]=>[4,5,7,1,2,8,3,6]=>[6,3,8,2,1,7,5,4]=>[[1,3],[2,6],[4,7],[5,8]]=>9 [4,1,5,7,2,8,3,6]=>[7,4,5,1,2,8,3,6]=>[6,3,8,2,1,5,4,7]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [4,5,1,7,2,8,3,6]=>[4,1,5,7,2,8,3,6]=>[6,3,8,2,7,5,1,4]=>[[1,3],[2,5],[4,6],[7,8]]=>11 [4,5,7,1,2,8,3,6]=>[4,7,1,5,2,8,3,6]=>[6,3,8,2,5,1,7,4]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [4,1,5,7,8,2,3,6]=>[7,8,4,1,2,5,3,6]=>[6,3,5,2,1,4,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>11 [4,5,1,7,8,2,3,6]=>[4,5,1,7,2,8,3,6]=>[6,3,8,2,7,1,5,4]=>[[1,3],[2,5],[4,7],[6,8]]=>12 [4,5,7,8,1,2,3,6]=>[7,1,8,4,2,5,3,6]=>[6,3,5,2,4,8,1,7]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [4,1,5,2,7,3,6,8]=>[4,5,1,2,7,3,6,8]=>[8,6,3,7,2,1,5,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>7 [4,1,5,7,2,3,6,8]=>[7,4,1,2,5,3,6,8]=>[8,6,3,5,2,1,4,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [4,5,1,7,2,3,6,8]=>[4,1,5,2,7,3,6,8]=>[8,6,3,7,2,5,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>9 [4,1,5,2,3,7,6,8]=>[4,1,2,5,7,3,6,8]=>[8,6,3,7,5,2,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>6 [4,5,1,2,3,7,6,8]=>[1,4,2,5,7,3,6,8]=>[8,6,3,7,5,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>7 [1,4,2,5,3,7,6,8]=>[1,4,5,7,2,3,6,8]=>[8,6,3,2,7,5,4,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>4 [1,4,5,2,3,7,6,8]=>[4,1,5,7,2,3,6,8]=>[8,6,3,2,7,5,1,4]=>[[1,5],[2,6],[3,8],[4],[7]]=>5 [1,4,5,2,7,3,6,8]=>[4,5,1,7,2,3,6,8]=>[8,6,3,2,7,1,5,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>6 [4,1,5,2,3,7,8,6]=>[4,1,2,5,7,8,3,6]=>[6,3,8,7,5,2,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [4,5,1,2,3,7,8,6]=>[1,4,2,5,7,8,3,6]=>[6,3,8,7,5,2,4,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>8 [4,1,2,5,3,7,8,6]=>[1,2,4,5,7,8,3,6]=>[6,3,8,7,5,4,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>6 [1,4,2,5,3,7,8,6]=>[1,4,5,7,8,2,3,6]=>[6,3,2,8,7,5,4,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>5 [1,4,5,2,3,7,8,6]=>[4,1,5,7,8,2,3,6]=>[6,3,2,8,7,5,1,4]=>[[1,4],[2,5],[3,6],[7,8]]=>6 [1,4,2,5,7,3,8,6]=>[7,1,4,5,8,2,3,6]=>[6,3,2,8,5,4,1,7]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [1,4,5,2,7,3,8,6]=>[4,5,1,7,8,2,3,6]=>[6,3,2,8,7,1,5,4]=>[[1,4],[2,5],[3,7],[6,8]]=>7 [1,4,5,7,2,3,8,6]=>[7,4,1,5,8,2,3,6]=>[6,3,2,8,5,1,4,7]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [4,1,2,5,7,8,3,6]=>[7,8,1,2,4,5,3,6]=>[6,3,5,4,2,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [1,4,2,5,7,8,3,6]=>[7,8,1,4,5,2,3,6]=>[6,3,2,5,4,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [1,4,5,2,7,8,3,6]=>[4,5,7,1,8,2,3,6]=>[6,3,2,8,1,7,5,4]=>[[1,4],[2,6],[3,7],[5,8]]=>8 [1,4,5,7,8,2,3,6]=>[7,8,4,1,5,2,3,6]=>[6,3,2,5,1,4,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [4,5,1,2,8,3,6,7]=>[4,1,5,2,8,3,6,7]=>[7,6,3,8,2,5,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>9 [4,5,1,8,2,3,6,7]=>[1,8,4,2,5,3,6,7]=>[7,6,3,5,2,4,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [4,5,8,1,2,3,6,7]=>[1,4,2,8,5,3,6,7]=>[7,6,3,5,8,2,4,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [4,1,5,2,3,8,6,7]=>[4,5,1,2,8,3,6,7]=>[7,6,3,8,2,1,5,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>7 [4,1,2,5,3,8,6,7]=>[8,1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>6 [1,4,2,5,3,8,6,7]=>[8,1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [1,4,5,2,3,8,6,7]=>[4,5,1,8,2,3,6,7]=>[7,6,3,2,8,1,5,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>6 [1,4,2,5,8,3,6,7]=>[4,8,1,5,2,3,6,7]=>[7,6,3,2,5,1,8,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [1,4,5,8,2,3,6,7]=>[4,1,8,5,2,3,6,7]=>[7,6,3,2,5,8,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [4,1,5,2,3,6,8,7]=>[4,1,2,5,8,3,6,7]=>[7,6,3,8,5,2,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>6 [1,4,2,5,3,6,8,7]=>[1,4,5,8,2,3,6,7]=>[7,6,3,2,8,5,4,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>4 [4,1,2,5,6,3,8,7]=>[1,2,4,5,6,8,3,7]=>[7,3,8,6,5,4,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>6 [1,4,2,5,6,3,8,7]=>[1,4,5,6,8,2,3,7]=>[7,3,2,8,6,5,4,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>5 [1,4,5,2,6,3,8,7]=>[4,1,5,6,8,2,3,7]=>[7,3,2,8,6,5,1,4]=>[[1,4],[2,5],[3,6],[7,8]]=>6 [1,4,5,6,2,3,8,7]=>[4,5,1,6,8,2,3,7]=>[7,3,2,8,6,1,5,4]=>[[1,4],[2,5],[3,7],[6,8]]=>7 [4,1,2,5,6,8,3,7]=>[8,1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>7 [1,4,5,2,6,8,3,7]=>[4,8,1,5,6,2,3,7]=>[7,3,2,6,5,1,8,4]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [1,4,5,6,2,8,3,7]=>[4,5,6,1,8,2,3,7]=>[7,3,2,8,1,6,5,4]=>[[1,4],[2,6],[3,7],[5,8]]=>8 [4,1,5,2,3,6,7,8]=>[4,1,2,5,3,6,7,8]=>[8,7,6,3,5,2,1,4]=>[[1,5],[2,8],[3],[4],[6],[7]]=>5 [4,1,2,5,3,6,7,8]=>[1,2,4,5,3,6,7,8]=>[8,7,6,3,5,4,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>4 [1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[8,7,6,3,2,5,4,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>3 [1,4,5,2,3,6,7,8]=>[4,1,5,2,3,6,7,8]=>[8,7,6,3,2,5,1,4]=>[[1,6],[2,8],[3],[4],[5],[7]]=>4 [4,1,2,5,6,3,7,8]=>[1,2,4,5,6,3,7,8]=>[8,7,3,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>5 [1,4,5,2,6,3,7,8]=>[4,1,5,6,2,3,7,8]=>[8,7,3,2,6,5,1,4]=>[[1,5],[2,6],[3,8],[4],[7]]=>5 [1,4,5,6,2,3,7,8]=>[4,5,1,6,2,3,7,8]=>[8,7,3,2,6,1,5,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>6 [4,1,2,5,6,7,3,8]=>[1,2,4,5,6,7,3,8]=>[8,3,7,6,5,4,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>6 [1,4,2,5,6,7,3,8]=>[1,4,5,6,7,2,3,8]=>[8,3,2,7,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>5 [1,4,5,2,6,7,3,8]=>[4,1,5,6,7,2,3,8]=>[8,3,2,7,6,5,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>6 [1,4,5,6,2,7,3,8]=>[4,5,1,6,7,2,3,8]=>[8,3,2,7,6,1,5,4]=>[[1,4],[2,5],[3,7],[6],[8]]=>7 [1,4,5,6,7,2,3,8]=>[4,5,6,1,7,2,3,8]=>[8,3,2,7,1,6,5,4]=>[[1,4],[2,6],[3,7],[5],[8]]=>8 [4,1,2,5,6,7,8,3]=>[1,2,4,5,6,7,8,3]=>[3,8,7,6,5,4,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>7 [1,4,2,5,6,7,8,3]=>[1,4,5,6,7,8,2,3]=>[3,2,8,7,6,5,4,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>6 [1,4,5,2,6,7,8,3]=>[4,1,5,6,7,8,2,3]=>[3,2,8,7,6,5,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [1,4,5,6,2,7,8,3]=>[4,5,1,6,7,8,2,3]=>[3,2,8,7,6,1,5,4]=>[[1,3],[2,4],[5,7],[6],[8]]=>8 [1,4,5,6,7,2,8,3]=>[4,5,6,1,7,8,2,3]=>[3,2,8,7,1,6,5,4]=>[[1,3],[2,4],[5,6],[7],[8]]=>9 [1,4,5,6,7,8,2,3]=>[4,5,6,7,1,8,2,3]=>[3,2,8,1,7,6,5,4]=>[[1,3],[2,5],[4,6],[7],[8]]=>10 [4,1,6,2,7,3,8,5]=>[1,4,6,2,7,8,3,5]=>[5,3,8,7,2,6,4,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>9 [4,6,1,2,7,3,8,5]=>[6,1,4,2,7,8,3,5]=>[5,3,8,7,2,4,1,6]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [4,6,1,7,2,3,8,5]=>[1,6,4,2,7,8,3,5]=>[5,3,8,7,2,4,6,1]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [4,6,7,1,2,3,8,5]=>[1,6,2,7,4,8,3,5]=>[5,3,8,4,7,2,6,1]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [4,1,6,2,7,8,3,5]=>[1,4,6,7,2,8,3,5]=>[5,3,8,2,7,6,4,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>10 [4,1,6,7,2,8,3,5]=>[4,1,6,7,2,8,3,5]=>[5,3,8,2,7,6,1,4]=>[[1,3],[2,5],[4,6],[7,8]]=>11 [4,1,6,7,8,2,3,5]=>[4,6,1,7,2,8,3,5]=>[5,3,8,2,7,1,6,4]=>[[1,3],[2,5],[4,7],[6,8]]=>12 [4,6,1,7,8,2,3,5]=>[6,4,1,7,2,8,3,5]=>[5,3,8,2,7,1,4,6]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [4,6,7,1,8,2,3,5]=>[6,1,7,4,2,8,3,5]=>[5,3,8,2,4,7,1,6]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [4,1,6,2,7,3,5,8]=>[1,4,6,2,7,3,5,8]=>[8,5,3,7,2,6,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>8 [4,1,6,7,2,3,5,8]=>[4,1,6,2,7,3,5,8]=>[8,5,3,7,2,6,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>9 [4,1,6,2,3,7,5,8]=>[1,4,2,6,7,3,5,8]=>[8,5,3,7,6,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>7 [4,6,1,2,3,7,5,8]=>[1,2,6,4,7,3,5,8]=>[8,5,3,7,4,6,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [1,4,2,6,3,7,5,8]=>[4,1,6,7,2,3,5,8]=>[8,5,3,2,7,6,1,4]=>[[1,5],[2,6],[3,8],[4],[7]]=>5 [4,1,2,6,7,3,5,8]=>[4,6,1,2,7,3,5,8]=>[8,5,3,7,2,1,6,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>7 [1,4,2,6,7,3,5,8]=>[4,6,1,7,2,3,5,8]=>[8,5,3,2,7,1,6,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>6 [1,4,6,2,7,3,5,8]=>[6,4,1,7,2,3,5,8]=>[8,5,3,2,7,1,4,6]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [1,4,6,7,2,3,5,8]=>[6,1,7,4,2,3,5,8]=>[8,5,3,2,4,7,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [4,1,6,2,3,7,8,5]=>[1,4,2,6,7,8,3,5]=>[5,3,8,7,6,2,4,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>8 [4,6,1,2,3,7,8,5]=>[1,2,6,4,7,8,3,5]=>[5,3,8,7,4,6,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [4,1,2,6,3,7,8,5]=>[4,1,2,6,7,8,3,5]=>[5,3,8,7,6,2,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [4,1,2,6,7,3,8,5]=>[4,6,1,2,7,8,3,5]=>[5,3,8,7,2,1,6,4]=>[[1,3],[2,4],[5,7],[6,8]]=>8 [1,4,2,6,7,3,8,5]=>[4,6,1,7,8,2,3,5]=>[5,3,2,8,7,1,6,4]=>[[1,4],[2,5],[3,7],[6,8]]=>7 [1,4,6,2,7,3,8,5]=>[6,4,1,7,8,2,3,5]=>[5,3,2,8,7,1,4,6]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [1,4,2,6,7,8,3,5]=>[4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]=>[[1,4],[2,6],[3,7],[5,8]]=>8 [1,4,6,2,7,8,3,5]=>[6,4,7,1,8,2,3,5]=>[5,3,2,8,1,7,4,6]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [1,4,6,7,2,8,3,5]=>[6,7,4,1,8,2,3,5]=>[5,3,2,8,1,4,7,6]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [1,4,6,7,8,2,3,5]=>[6,7,1,8,4,2,3,5]=>[5,3,2,4,8,1,7,6]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [4,1,6,2,8,3,5,7]=>[4,1,6,2,8,3,5,7]=>[7,5,3,8,2,6,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>9 [4,6,1,2,8,3,5,7]=>[1,6,4,2,8,3,5,7]=>[7,5,3,8,2,4,6,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [4,1,6,8,2,3,5,7]=>[1,8,4,2,6,3,5,7]=>[7,5,3,6,2,4,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [4,6,8,1,2,3,5,7]=>[1,2,8,6,4,3,5,7]=>[7,5,3,4,6,8,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>12 [4,1,6,2,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[7,5,3,8,2,6,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>8 [4,6,1,2,3,8,5,7]=>[6,1,4,2,8,3,5,7]=>[7,5,3,8,2,4,1,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [4,1,2,6,3,8,5,7]=>[4,6,1,2,8,3,5,7]=>[7,5,3,8,2,1,6,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>7 [1,4,2,6,3,8,5,7]=>[4,6,1,8,2,3,5,7]=>[7,5,3,2,8,1,6,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>6 [1,4,6,2,3,8,5,7]=>[6,4,1,8,2,3,5,7]=>[7,5,3,2,8,1,4,6]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [4,1,2,6,8,3,5,7]=>[8,4,1,2,6,3,5,7]=>[7,5,3,6,2,1,4,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [1,4,2,6,8,3,5,7]=>[8,4,1,6,2,3,5,7]=>[7,5,3,2,6,1,4,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [1,4,6,2,8,3,5,7]=>[6,1,8,4,2,3,5,7]=>[7,5,3,2,4,8,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [1,4,6,8,2,3,5,7]=>[1,8,6,4,2,3,5,7]=>[7,5,3,2,4,6,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>9 [4,1,6,2,3,5,8,7]=>[1,4,2,6,8,3,5,7]=>[7,5,3,8,6,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>7 [4,6,1,2,3,5,8,7]=>[1,2,6,4,8,3,5,7]=>[7,5,3,8,4,6,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [4,1,2,6,3,5,8,7]=>[4,1,2,6,8,3,5,7]=>[7,5,3,8,6,2,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>6 [1,4,2,6,3,5,8,7]=>[4,1,6,8,2,3,5,7]=>[7,5,3,2,8,6,1,4]=>[[1,5],[2,6],[3,8],[4],[7]]=>5 [1,4,6,2,3,5,8,7]=>[1,6,4,8,2,3,5,7]=>[7,5,3,2,8,4,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [4,1,2,3,6,5,8,7]=>[1,2,4,6,8,3,5,7]=>[7,5,3,8,6,4,2,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>5 [1,4,2,3,6,5,8,7]=>[1,4,6,8,2,3,5,7]=>[7,5,3,2,8,6,4,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>4 [1,2,4,6,3,5,8,7]=>[6,4,8,1,2,3,5,7]=>[7,5,3,2,1,8,4,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [4,1,2,3,6,8,5,7]=>[8,1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [1,2,4,3,6,8,5,7]=>[8,4,6,1,2,3,5,7]=>[7,5,3,2,1,6,4,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,2,4,6,8,3,5,7]=>[8,6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [4,1,6,2,3,5,7,8]=>[1,4,2,6,3,5,7,8]=>[8,7,5,3,6,2,4,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>6 [4,6,1,2,3,5,7,8]=>[1,2,6,4,3,5,7,8]=>[8,7,5,3,4,6,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>7 [1,4,2,6,3,5,7,8]=>[4,1,6,2,3,5,7,8]=>[8,7,5,3,2,6,1,4]=>[[1,6],[2,8],[3],[4],[5],[7]]=>4 [1,4,6,2,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[8,7,5,3,2,4,6,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>5 [4,1,2,3,6,5,7,8]=>[1,2,4,6,3,5,7,8]=>[8,7,5,3,6,4,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>4 [1,4,2,3,6,5,7,8]=>[1,4,6,2,3,5,7,8]=>[8,7,5,3,2,6,4,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>3 [1,2,4,6,3,5,7,8]=>[6,4,1,2,3,5,7,8]=>[8,7,5,3,2,1,4,6]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [1,4,2,3,6,7,5,8]=>[1,4,6,7,2,3,5,8]=>[8,5,3,2,7,6,4,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>4 [1,2,4,6,7,3,5,8]=>[6,7,4,1,2,3,5,8]=>[8,5,3,2,1,4,7,6]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [4,1,2,3,6,7,8,5]=>[1,2,4,6,7,8,3,5]=>[5,3,8,7,6,4,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>6 [1,4,2,3,6,7,8,5]=>[1,4,6,7,8,2,3,5]=>[5,3,2,8,7,6,4,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>5 [1,2,4,6,7,3,8,5]=>[6,7,4,8,1,2,3,5]=>[5,3,2,1,8,4,7,6]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [1,2,4,6,7,8,3,5]=>[6,7,8,4,1,2,3,5]=>[5,3,2,1,4,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [4,7,1,2,8,3,5,6]=>[4,1,2,7,3,8,5,6]=>[6,5,8,3,7,2,1,4]=>[[1,3],[2,5],[4,8],[6],[7]]=>11 [4,1,7,8,2,3,5,6]=>[1,7,2,8,4,3,5,6]=>[6,5,3,4,8,2,7,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [4,7,1,8,2,3,5,6]=>[1,4,2,7,3,8,5,6]=>[6,5,8,3,7,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [4,1,2,7,3,8,5,6]=>[1,4,7,2,8,3,5,6]=>[6,5,3,8,2,7,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>8 [1,4,2,7,3,8,5,6]=>[7,4,1,8,2,3,5,6]=>[6,5,3,2,8,1,4,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [1,4,7,2,3,8,5,6]=>[7,4,1,2,8,3,5,6]=>[6,5,3,8,2,1,4,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [4,1,2,7,8,3,5,6]=>[4,1,7,2,8,3,5,6]=>[6,5,3,8,2,7,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>9 [1,4,2,7,8,3,5,6]=>[7,1,8,4,2,3,5,6]=>[6,5,3,2,4,8,1,7]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [1,4,7,2,8,3,5,6]=>[7,1,8,2,4,3,5,6]=>[6,5,3,4,2,8,1,7]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [1,4,7,8,2,3,5,6]=>[7,1,2,8,4,3,5,6]=>[6,5,3,4,8,2,1,7]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [4,1,7,2,3,5,8,6]=>[1,2,7,4,8,3,5,6]=>[6,5,3,8,4,7,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [4,7,1,2,3,5,8,6]=>[1,2,4,3,7,8,5,6]=>[6,5,8,7,3,4,2,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>9 [4,1,2,7,3,5,8,6]=>[1,4,2,7,8,3,5,6]=>[6,5,3,8,7,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>7 [1,4,7,2,3,5,8,6]=>[1,7,2,4,8,3,5,6]=>[6,5,3,8,4,2,7,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [4,1,2,3,7,5,8,6]=>[4,1,2,7,8,3,5,6]=>[6,5,3,8,7,2,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>6 [1,4,2,3,7,5,8,6]=>[4,1,7,8,2,3,5,6]=>[6,5,3,2,8,7,1,4]=>[[1,5],[2,6],[3,8],[4],[7]]=>5 [1,2,4,7,3,5,8,6]=>[7,1,4,8,2,3,5,6]=>[6,5,3,2,8,4,1,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [4,1,2,3,7,8,5,6]=>[4,7,1,2,8,3,5,6]=>[6,5,3,8,2,1,7,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>7 [1,4,2,3,7,8,5,6]=>[4,7,1,8,2,3,5,6]=>[6,5,3,2,8,1,7,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>6 [1,2,4,3,7,8,5,6]=>[7,8,4,1,2,3,5,6]=>[6,5,3,2,1,4,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [1,2,4,7,3,8,5,6]=>[7,8,1,4,2,3,5,6]=>[6,5,3,2,4,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [4,1,2,7,3,5,6,8]=>[1,4,2,7,3,5,6,8]=>[8,6,5,3,7,2,4,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>6 [1,4,2,7,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>[8,6,5,3,2,4,7,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>5 [1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[8,6,5,3,4,2,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>6 [4,1,2,3,7,5,6,8]=>[4,1,2,7,3,5,6,8]=>[8,6,5,3,7,2,1,4]=>[[1,5],[2,8],[3],[4],[6],[7]]=>5 [1,4,2,3,7,5,6,8]=>[4,1,7,2,3,5,6,8]=>[8,6,5,3,2,7,1,4]=>[[1,6],[2,8],[3],[4],[5],[7]]=>4 [1,2,4,3,7,5,6,8]=>[7,4,1,2,3,5,6,8]=>[8,6,5,3,2,1,4,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [1,2,4,7,3,5,6,8]=>[7,1,4,2,3,5,6,8]=>[8,6,5,3,2,4,1,7]=>[[1,6,8],[2],[3],[4],[5],[7]]=>4 [1,2,4,5,7,3,6,8]=>[7,4,5,1,2,3,6,8]=>[8,6,3,2,1,5,4,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,4,2,3,5,7,8,6]=>[1,4,7,8,2,3,5,6]=>[6,5,3,2,8,7,4,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>4 [1,2,4,5,7,3,8,6]=>[7,4,5,8,1,2,3,6]=>[6,3,2,1,8,5,4,7]=>[[1,5,8],[2,6],[3,7],[4]]=>5 [1,2,4,5,7,8,3,6]=>[7,8,4,5,1,2,3,6]=>[6,3,2,1,5,4,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [4,1,8,2,3,5,6,7]=>[1,2,4,3,8,5,6,7]=>[7,6,5,8,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>8 [4,8,1,2,3,5,6,7]=>[1,2,4,3,5,8,6,7]=>[7,6,8,5,3,4,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>9 [4,1,2,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[7,6,5,3,4,8,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>7 [1,4,2,8,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[7,6,5,3,4,2,8,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>6 [1,4,8,2,3,5,6,7]=>[1,4,2,3,8,5,6,7]=>[7,6,5,8,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>7 [4,1,2,3,8,5,6,7]=>[1,4,2,8,3,5,6,7]=>[7,6,5,3,8,2,4,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>6 [1,4,2,3,8,5,6,7]=>[1,8,4,2,3,5,6,7]=>[7,6,5,3,2,4,8,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>5 [1,2,4,3,8,5,6,7]=>[8,1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>4 [1,2,4,8,3,5,6,7]=>[8,1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>5 [1,2,4,3,5,8,6,7]=>[8,4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [1,2,4,5,3,8,6,7]=>[8,4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[8,7,6,5,3,2,4,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>2 [5,1,6,2,7,3,8,4]=>[1,5,6,2,3,7,8,4]=>[4,8,7,3,2,6,5,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>10 [5,6,1,2,7,3,8,4]=>[1,2,5,6,3,7,8,4]=>[4,8,7,3,6,5,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>11 [5,1,6,7,2,3,8,4]=>[5,1,6,2,3,7,8,4]=>[4,8,7,3,2,6,1,5]=>[[1,2],[3,6],[4,8],[5],[7]]=>11 [5,6,1,7,2,3,8,4]=>[5,1,2,6,3,7,8,4]=>[4,8,7,3,6,2,1,5]=>[[1,2],[3,5],[4,8],[6],[7]]=>12 [5,6,7,1,2,3,8,4]=>[1,5,2,6,3,7,8,4]=>[4,8,7,3,6,2,5,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>13 [5,1,6,2,7,8,3,4]=>[1,5,6,7,2,3,8,4]=>[4,8,3,2,7,6,5,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>11 [5,6,1,2,7,8,3,4]=>[1,2,5,6,7,3,8,4]=>[4,8,3,7,6,5,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>12 [5,1,6,7,2,8,3,4]=>[5,1,6,7,2,3,8,4]=>[4,8,3,2,7,6,1,5]=>[[1,2],[3,5],[4,6],[7,8]]=>12 [5,6,7,1,2,8,3,4]=>[1,5,2,6,7,3,8,4]=>[4,8,3,7,6,2,5,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>14 [5,6,1,7,8,2,3,4]=>[5,6,1,2,7,3,8,4]=>[4,8,3,7,2,1,6,5]=>[[1,2],[3,4],[5,7],[6,8]]=>14 [5,6,1,2,7,3,4,8]=>[1,2,5,6,3,7,4,8]=>[8,4,7,3,6,5,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>10 [5,1,6,7,2,3,4,8]=>[5,1,6,2,3,7,4,8]=>[8,4,7,3,2,6,1,5]=>[[1,3],[2,6],[4,8],[5],[7]]=>10 [5,6,1,7,2,3,4,8]=>[5,1,2,6,3,7,4,8]=>[8,4,7,3,6,2,1,5]=>[[1,3],[2,5],[4,8],[6],[7]]=>11 [5,6,1,2,3,7,4,8]=>[1,2,5,3,6,7,4,8]=>[8,4,7,6,3,5,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>9 [5,1,2,6,3,7,4,8]=>[5,1,2,3,6,7,4,8]=>[8,4,7,6,3,2,1,5]=>[[1,3],[2,8],[4],[5],[6],[7]]=>7 [1,5,2,6,3,7,4,8]=>[5,1,2,6,7,3,4,8]=>[8,4,3,7,6,2,1,5]=>[[1,4],[2,5],[3,8],[6],[7]]=>6 [1,5,6,7,2,3,4,8]=>[5,1,6,2,7,3,4,8]=>[8,4,3,7,2,6,1,5]=>[[1,4],[2,6],[3,8],[5],[7]]=>9 [5,1,6,2,3,7,8,4]=>[1,5,2,3,6,7,8,4]=>[4,8,7,6,3,2,5,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>9 [5,6,1,2,3,7,8,4]=>[1,2,5,3,6,7,8,4]=>[4,8,7,6,3,5,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>10 [5,1,2,6,3,7,8,4]=>[5,1,2,3,6,7,8,4]=>[4,8,7,6,3,2,1,5]=>[[1,2],[3,8],[4],[5],[6],[7]]=>8 [1,5,2,6,3,7,8,4]=>[5,1,2,6,7,8,3,4]=>[4,3,8,7,6,2,1,5]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [1,5,6,2,3,7,8,4]=>[1,5,2,6,7,8,3,4]=>[4,3,8,7,6,2,5,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>8 [5,1,2,6,7,3,8,4]=>[5,6,1,2,3,7,8,4]=>[4,8,7,3,2,1,6,5]=>[[1,2],[3,7],[4,8],[5],[6]]=>9 [1,5,2,6,7,3,8,4]=>[5,6,1,2,7,8,3,4]=>[4,3,8,7,2,1,6,5]=>[[1,3],[2,4],[5,7],[6,8]]=>8 [1,5,6,2,7,3,8,4]=>[1,5,6,2,7,8,3,4]=>[4,3,8,7,2,6,5,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>9 [1,5,6,7,2,3,8,4]=>[5,1,6,2,7,8,3,4]=>[4,3,8,7,2,6,1,5]=>[[1,3],[2,4],[5,6],[7,8]]=>10 [5,1,2,6,7,8,3,4]=>[5,6,7,1,2,3,8,4]=>[4,8,3,2,1,7,6,5]=>[[1,2],[3,6],[4,7],[5,8]]=>10 [1,5,6,2,7,8,3,4]=>[1,5,6,7,2,8,3,4]=>[4,3,8,2,7,6,5,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>10 [1,5,6,7,2,8,3,4]=>[5,1,6,7,2,8,3,4]=>[4,3,8,2,7,6,1,5]=>[[1,3],[2,5],[4,6],[7,8]]=>11 [1,5,6,7,8,2,3,4]=>[5,6,1,7,2,8,3,4]=>[4,3,8,2,7,1,6,5]=>[[1,3],[2,5],[4,7],[6,8]]=>12 [5,1,6,2,8,3,4,7]=>[5,1,6,2,3,8,4,7]=>[7,4,8,3,2,6,1,5]=>[[1,3],[2,6],[4,8],[5],[7]]=>10 [5,6,1,2,8,3,4,7]=>[5,1,2,6,3,8,4,7]=>[7,4,8,3,6,2,1,5]=>[[1,3],[2,5],[4,8],[6],[7]]=>11 [5,6,1,8,2,3,4,7]=>[1,5,2,6,3,8,4,7]=>[7,4,8,3,6,2,5,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [5,1,6,2,3,8,4,7]=>[1,5,6,2,3,8,4,7]=>[7,4,8,3,2,6,5,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>9 [5,6,1,2,3,8,4,7]=>[1,2,5,6,3,8,4,7]=>[7,4,8,3,6,5,2,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>10 [5,1,2,6,3,8,4,7]=>[5,6,1,2,3,8,4,7]=>[7,4,8,3,2,1,6,5]=>[[1,3],[2,7],[4,8],[5],[6]]=>8 [1,5,2,6,3,8,4,7]=>[5,6,1,2,8,3,4,7]=>[7,4,3,8,2,1,6,5]=>[[1,4],[2,7],[3,8],[5],[6]]=>7 [1,5,6,2,3,8,4,7]=>[1,5,6,2,8,3,4,7]=>[7,4,3,8,2,6,5,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>8 [1,5,2,6,8,3,4,7]=>[8,5,1,2,6,3,4,7]=>[7,4,3,6,2,1,5,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [1,5,6,2,8,3,4,7]=>[5,1,6,2,8,3,4,7]=>[7,4,3,8,2,6,1,5]=>[[1,4],[2,6],[3,8],[5],[7]]=>9 [1,5,6,8,2,3,4,7]=>[1,8,5,2,6,3,4,7]=>[7,4,3,6,2,5,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [5,1,6,2,3,4,8,7]=>[1,5,2,3,6,8,4,7]=>[7,4,8,6,3,2,5,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>8 [5,6,1,2,3,4,8,7]=>[1,2,5,3,6,8,4,7]=>[7,4,8,6,3,5,2,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>9 [1,5,2,6,3,4,8,7]=>[5,1,2,6,8,3,4,7]=>[7,4,3,8,6,2,1,5]=>[[1,4],[2,5],[3,8],[6],[7]]=>6 [1,5,6,2,3,4,8,7]=>[1,5,2,6,8,3,4,7]=>[7,4,3,8,6,2,5,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>7 [5,1,2,3,6,4,8,7]=>[1,2,3,5,6,8,4,7]=>[7,4,8,6,5,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>6 [1,2,5,6,3,4,8,7]=>[5,1,6,8,2,3,4,7]=>[7,4,3,2,8,6,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>5 [1,5,2,3,6,8,4,7]=>[8,1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [1,2,5,6,3,8,4,7]=>[5,6,1,8,2,3,4,7]=>[7,4,3,2,8,1,6,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>6 [5,1,6,2,3,4,7,8]=>[1,5,2,3,6,4,7,8]=>[8,7,4,6,3,2,5,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>7 [5,1,2,6,3,4,7,8]=>[5,1,2,3,6,4,7,8]=>[8,7,4,6,3,2,1,5]=>[[1,4],[2,8],[3],[5],[6],[7]]=>6 [1,5,2,6,3,4,7,8]=>[5,1,2,6,3,4,7,8]=>[8,7,4,3,6,2,1,5]=>[[1,5],[2,8],[3],[4],[6],[7]]=>5 [1,5,6,2,3,4,7,8]=>[1,5,2,6,3,4,7,8]=>[8,7,4,3,6,2,5,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>6 [5,1,2,3,6,4,7,8]=>[1,2,3,5,6,4,7,8]=>[8,7,4,6,5,3,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>5 [1,5,2,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>4 [1,2,5,6,3,4,7,8]=>[5,1,6,2,3,4,7,8]=>[8,7,4,3,2,6,1,5]=>[[1,6],[2,8],[3],[4],[5],[7]]=>4 [5,1,2,3,6,7,4,8]=>[1,2,3,5,6,7,4,8]=>[8,4,7,6,5,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>6 [1,5,2,3,6,7,4,8]=>[1,2,5,6,7,3,4,8]=>[8,4,3,7,6,5,2,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>5 [1,2,5,3,6,7,4,8]=>[1,5,6,7,2,3,4,8]=>[8,4,3,2,7,6,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>4 [1,2,5,6,3,7,4,8]=>[5,1,6,7,2,3,4,8]=>[8,4,3,2,7,6,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>5 [1,2,5,6,7,3,4,8]=>[5,6,1,7,2,3,4,8]=>[8,4,3,2,7,1,6,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>6 [5,1,2,3,6,7,8,4]=>[1,2,3,5,6,7,8,4]=>[4,8,7,6,5,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>7 [1,5,2,3,6,7,8,4]=>[1,2,5,6,7,8,3,4]=>[4,3,8,7,6,5,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>6 [1,2,5,3,6,7,8,4]=>[1,5,6,7,8,2,3,4]=>[4,3,2,8,7,6,5,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>5 [1,2,5,6,3,7,8,4]=>[5,1,6,7,8,2,3,4]=>[4,3,2,8,7,6,1,5]=>[[1,4],[2,5],[3,6],[7,8]]=>6 [1,2,5,6,7,3,8,4]=>[5,6,1,7,8,2,3,4]=>[4,3,2,8,7,1,6,5]=>[[1,4],[2,5],[3,7],[6,8]]=>7 [1,2,5,6,7,8,3,4]=>[5,6,7,1,8,2,3,4]=>[4,3,2,8,1,7,6,5]=>[[1,4],[2,6],[3,7],[5,8]]=>8 [5,1,7,2,8,3,4,6]=>[5,1,2,7,3,8,4,6]=>[6,4,8,3,7,2,1,5]=>[[1,3],[2,5],[4,8],[6],[7]]=>11 [5,7,1,2,8,3,4,6]=>[1,7,2,5,3,8,4,6]=>[6,4,8,3,5,2,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [5,1,7,8,2,3,4,6]=>[1,5,2,7,3,8,4,6]=>[6,4,8,3,7,2,5,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [5,7,1,8,2,3,4,6]=>[1,2,7,5,3,8,4,6]=>[6,4,8,3,5,7,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>13 [5,7,8,1,2,3,4,6]=>[1,2,7,3,8,5,4,6]=>[6,4,5,8,3,7,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [5,1,7,2,3,8,4,6]=>[1,2,5,7,3,8,4,6]=>[6,4,8,3,7,5,2,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>10 [1,5,2,7,3,8,4,6]=>[1,5,7,2,8,3,4,6]=>[6,4,3,8,2,7,5,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>8 [1,5,7,2,3,8,4,6]=>[7,1,5,2,8,3,4,6]=>[6,4,3,8,2,5,1,7]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [5,1,2,7,8,3,4,6]=>[5,1,7,2,3,8,4,6]=>[6,4,8,3,2,7,1,5]=>[[1,3],[2,6],[4,8],[5],[7]]=>10 [1,5,2,7,8,3,4,6]=>[5,1,7,2,8,3,4,6]=>[6,4,3,8,2,7,1,5]=>[[1,4],[2,6],[3,8],[5],[7]]=>9 [1,5,7,2,8,3,4,6]=>[1,7,5,2,8,3,4,6]=>[6,4,3,8,2,5,7,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [1,5,7,8,2,3,4,6]=>[1,7,2,8,5,3,4,6]=>[6,4,3,5,8,2,7,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [5,1,7,2,3,4,8,6]=>[1,2,5,3,7,8,4,6]=>[6,4,8,7,3,5,2,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>9 [5,1,2,7,3,4,8,6]=>[1,5,2,3,7,8,4,6]=>[6,4,8,7,3,2,5,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>8 [1,5,2,7,3,4,8,6]=>[1,5,2,7,8,3,4,6]=>[6,4,3,8,7,2,5,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>7 [1,5,7,2,3,4,8,6]=>[1,2,7,5,8,3,4,6]=>[6,4,3,8,5,7,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [5,1,2,3,7,4,8,6]=>[5,1,2,3,7,8,4,6]=>[6,4,8,7,3,2,1,5]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [1,5,2,3,7,4,8,6]=>[5,1,2,7,8,3,4,6]=>[6,4,3,8,7,2,1,5]=>[[1,4],[2,5],[3,8],[6],[7]]=>6 [1,2,5,3,7,4,8,6]=>[5,1,7,8,2,3,4,6]=>[6,4,3,2,8,7,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>5 [5,1,2,3,7,8,4,6]=>[5,7,1,2,3,8,4,6]=>[6,4,8,3,2,1,7,5]=>[[1,3],[2,7],[4,8],[5],[6]]=>8 [1,5,2,3,7,8,4,6]=>[5,7,1,2,8,3,4,6]=>[6,4,3,8,2,1,7,5]=>[[1,4],[2,7],[3,8],[5],[6]]=>7 [1,2,5,7,8,3,4,6]=>[7,1,8,5,2,3,4,6]=>[6,4,3,2,5,8,1,7]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [5,7,1,2,3,4,6,8]=>[1,2,3,7,5,4,6,8]=>[8,6,4,5,7,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>9 [5,1,2,7,3,4,6,8]=>[1,5,2,3,7,4,6,8]=>[8,6,4,7,3,2,5,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>7 [1,5,2,7,3,4,6,8]=>[1,5,2,7,3,4,6,8]=>[8,6,4,3,7,2,5,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>6 [1,5,7,2,3,4,6,8]=>[1,2,7,5,3,4,6,8]=>[8,6,4,3,5,7,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>7 [1,2,5,7,3,4,6,8]=>[1,7,5,2,3,4,6,8]=>[8,6,4,3,2,5,7,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>5 [5,1,2,3,4,7,6,8]=>[1,2,3,5,7,4,6,8]=>[8,6,4,7,5,3,2,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>5 [1,5,2,3,4,7,6,8]=>[1,2,5,7,3,4,6,8]=>[8,6,4,3,7,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>4 [1,2,3,5,7,4,6,8]=>[7,5,1,2,3,4,6,8]=>[8,6,4,3,2,1,5,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [5,1,2,3,4,7,8,6]=>[1,2,3,5,7,8,4,6]=>[6,4,8,7,5,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>6 [1,2,5,3,4,7,8,6]=>[1,5,7,8,2,3,4,6]=>[6,4,3,2,8,7,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>4 [1,2,3,5,7,4,8,6]=>[7,5,8,1,2,3,4,6]=>[6,4,3,2,1,8,5,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,2,3,5,7,8,4,6]=>[7,8,5,1,2,3,4,6]=>[6,4,3,2,1,5,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [5,1,8,2,3,4,6,7]=>[1,2,3,8,5,4,6,7]=>[7,6,4,5,8,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>9 [5,8,1,2,3,4,6,7]=>[1,2,3,5,4,8,6,7]=>[7,6,8,4,5,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>10 [5,1,2,8,3,4,6,7]=>[1,2,5,3,8,4,6,7]=>[7,6,4,8,3,5,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>8 [1,5,2,8,3,4,6,7]=>[1,2,8,5,3,4,6,7]=>[7,6,4,3,5,8,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>7 [5,1,2,3,8,4,6,7]=>[1,5,2,3,8,4,6,7]=>[7,6,4,8,3,2,5,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>7 [1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[7,6,4,3,8,2,5,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>6 [1,2,5,8,3,4,6,7]=>[1,8,2,5,3,4,6,7]=>[7,6,4,3,5,2,8,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>6 [5,1,2,3,4,8,6,7]=>[5,1,2,3,8,4,6,7]=>[7,6,4,8,3,2,1,5]=>[[1,4],[2,8],[3],[5],[6],[7]]=>6 [1,5,2,3,4,8,6,7]=>[5,1,2,8,3,4,6,7]=>[7,6,4,3,8,2,1,5]=>[[1,5],[2,8],[3],[4],[6],[7]]=>5 [1,2,3,5,4,8,6,7]=>[8,5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [1,2,3,5,8,4,6,7]=>[8,1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>4 [5,1,2,3,4,6,8,7]=>[1,2,3,5,8,4,6,7]=>[7,6,4,8,5,3,2,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>5 [1,5,2,3,4,6,8,7]=>[1,2,5,8,3,4,6,7]=>[7,6,4,3,8,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>4 [1,2,5,3,4,6,8,7]=>[1,5,8,2,3,4,6,7]=>[7,6,4,3,2,8,5,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>3 [1,2,3,5,6,8,4,7]=>[8,5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>4 [1,5,2,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>[8,7,6,4,3,5,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>3 [1,2,5,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[8,7,6,4,3,2,5,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>2 [6,1,7,2,8,3,4,5]=>[6,1,2,7,3,4,8,5]=>[5,8,4,3,7,2,1,6]=>[[1,2],[3,5],[4,8],[6],[7]]=>12 [6,7,1,2,8,3,4,5]=>[6,1,2,3,7,4,8,5]=>[5,8,4,7,3,2,1,6]=>[[1,2],[3,4],[5,8],[6],[7]]=>13 [6,1,7,8,2,3,4,5]=>[1,6,2,7,3,4,8,5]=>[5,8,4,3,7,2,6,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>13 [6,7,1,8,2,3,4,5]=>[1,6,2,3,7,4,8,5]=>[5,8,4,7,3,2,6,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>14 [6,1,7,2,3,8,4,5]=>[1,2,6,7,3,4,8,5]=>[5,8,4,3,7,6,2,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>11 [6,7,1,2,3,8,4,5]=>[1,2,3,6,7,4,8,5]=>[5,8,4,7,6,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>12 [6,1,2,7,3,8,4,5]=>[1,6,7,2,3,4,8,5]=>[5,8,4,3,2,7,6,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>10 [1,6,2,7,3,8,4,5]=>[1,6,7,2,3,8,4,5]=>[5,4,8,3,2,7,6,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>9 [6,1,2,7,8,3,4,5]=>[6,1,7,2,3,4,8,5]=>[5,8,4,3,2,7,1,6]=>[[1,2],[3,6],[4,8],[5],[7]]=>11 [1,6,2,7,8,3,4,5]=>[6,1,7,2,3,8,4,5]=>[5,4,8,3,2,7,1,6]=>[[1,3],[2,6],[4,8],[5],[7]]=>10 [1,6,7,2,8,3,4,5]=>[6,1,2,7,3,8,4,5]=>[5,4,8,3,7,2,1,6]=>[[1,3],[2,5],[4,8],[6],[7]]=>11 [1,6,7,8,2,3,4,5]=>[1,6,2,7,3,8,4,5]=>[5,4,8,3,7,2,6,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [6,1,7,2,3,4,8,5]=>[1,2,6,3,4,7,8,5]=>[5,8,7,4,3,6,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>10 [6,7,1,2,3,4,8,5]=>[1,2,3,6,4,7,8,5]=>[5,8,7,4,6,3,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>11 [1,6,2,7,3,4,8,5]=>[1,6,2,3,7,8,4,5]=>[5,4,8,7,3,2,6,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>8 [1,6,7,2,3,4,8,5]=>[1,2,6,3,7,8,4,5]=>[5,4,8,7,3,6,2,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>9 [6,1,2,3,7,4,8,5]=>[6,1,2,3,4,7,8,5]=>[5,8,7,4,3,2,1,6]=>[[1,2],[3,8],[4],[5],[6],[7]]=>8 [1,6,2,3,7,4,8,5]=>[6,1,2,3,7,8,4,5]=>[5,4,8,7,3,2,1,6]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [6,1,2,3,7,8,4,5]=>[6,7,1,2,3,4,8,5]=>[5,8,4,3,2,1,7,6]=>[[1,2],[3,7],[4,8],[5],[6]]=>9 [1,6,2,3,7,8,4,5]=>[6,7,1,2,3,8,4,5]=>[5,4,8,3,2,1,7,6]=>[[1,3],[2,7],[4,8],[5],[6]]=>8 [1,2,6,3,7,8,4,5]=>[6,7,1,2,8,3,4,5]=>[5,4,3,8,2,1,7,6]=>[[1,4],[2,7],[3,8],[5],[6]]=>7 [1,2,6,7,3,8,4,5]=>[1,6,7,2,8,3,4,5]=>[5,4,3,8,2,7,6,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>8 [1,2,6,7,8,3,4,5]=>[6,1,7,2,8,3,4,5]=>[5,4,3,8,2,7,1,6]=>[[1,4],[2,6],[3,8],[5],[7]]=>9 [6,1,7,2,3,4,5,8]=>[1,2,6,3,4,7,5,8]=>[8,5,7,4,3,6,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>9 [6,1,2,7,3,4,5,8]=>[1,6,2,3,4,7,5,8]=>[8,5,7,4,3,2,6,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>8 [1,6,7,2,3,4,5,8]=>[1,2,6,3,7,4,5,8]=>[8,5,4,7,3,6,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>8 [6,1,2,3,7,4,5,8]=>[6,1,2,3,4,7,5,8]=>[8,5,7,4,3,2,1,6]=>[[1,3],[2,8],[4],[5],[6],[7]]=>7 [1,6,2,3,7,4,5,8]=>[6,1,2,3,7,4,5,8]=>[8,5,4,7,3,2,1,6]=>[[1,4],[2,8],[3],[5],[6],[7]]=>6 [1,2,6,3,7,4,5,8]=>[6,1,2,7,3,4,5,8]=>[8,5,4,3,7,2,1,6]=>[[1,5],[2,8],[3],[4],[6],[7]]=>5 [1,2,6,7,3,4,5,8]=>[1,6,2,7,3,4,5,8]=>[8,5,4,3,7,2,6,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>6 [6,1,2,3,4,7,5,8]=>[1,2,3,4,6,7,5,8]=>[8,5,7,6,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>6 [1,6,2,3,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[8,5,4,7,6,3,2,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>5 [1,2,6,3,4,7,5,8]=>[1,2,6,7,3,4,5,8]=>[8,5,4,3,7,6,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>4 [1,2,3,6,4,7,5,8]=>[1,6,7,2,3,4,5,8]=>[8,5,4,3,2,7,6,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>3 [1,2,3,6,7,4,5,8]=>[6,1,7,2,3,4,5,8]=>[8,5,4,3,2,7,1,6]=>[[1,6],[2,8],[3],[4],[5],[7]]=>4 [6,1,2,3,4,7,8,5]=>[1,2,3,4,6,7,8,5]=>[5,8,7,6,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>7 [1,2,6,3,4,7,8,5]=>[1,2,6,7,8,3,4,5]=>[5,4,3,8,7,6,2,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>5 [1,2,3,6,4,7,8,5]=>[1,6,7,8,2,3,4,5]=>[5,4,3,2,8,7,6,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>4 [1,2,3,6,7,4,8,5]=>[6,1,7,8,2,3,4,5]=>[5,4,3,2,8,7,1,6]=>[[1,5],[2,6],[3,8],[4],[7]]=>5 [1,2,3,6,7,8,4,5]=>[6,7,1,8,2,3,4,5]=>[5,4,3,2,8,1,7,6]=>[[1,5],[2,7],[3,8],[4],[6]]=>6 [6,1,8,2,3,4,5,7]=>[1,2,3,6,4,8,5,7]=>[7,5,8,4,6,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>10 [6,8,1,2,3,4,5,7]=>[1,2,3,4,8,6,5,7]=>[7,5,6,8,4,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>11 [6,1,2,8,3,4,5,7]=>[1,2,6,3,4,8,5,7]=>[7,5,8,4,3,6,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>9 [1,6,2,8,3,4,5,7]=>[1,2,6,3,8,4,5,7]=>[7,5,4,8,3,6,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>8 [1,6,8,2,3,4,5,7]=>[1,2,3,8,6,4,5,7]=>[7,5,4,6,8,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>9 [6,1,2,3,8,4,5,7]=>[1,6,2,3,4,8,5,7]=>[7,5,8,4,3,2,6,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>8 [1,6,2,3,8,4,5,7]=>[1,6,2,3,8,4,5,7]=>[7,5,4,8,3,2,6,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>7 [1,2,6,3,8,4,5,7]=>[1,6,2,8,3,4,5,7]=>[7,5,4,3,8,2,6,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>6 [1,2,6,8,3,4,5,7]=>[1,2,8,6,3,4,5,7]=>[7,5,4,3,6,8,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>7 [6,1,2,3,4,8,5,7]=>[6,1,2,3,4,8,5,7]=>[7,5,8,4,3,2,1,6]=>[[1,3],[2,8],[4],[5],[6],[7]]=>7 [1,2,6,3,4,8,5,7]=>[6,1,2,8,3,4,5,7]=>[7,5,4,3,8,2,1,6]=>[[1,5],[2,8],[3],[4],[6],[7]]=>5 [1,2,3,6,4,8,5,7]=>[6,1,8,2,3,4,5,7]=>[7,5,4,3,2,8,1,6]=>[[1,6],[2,8],[3],[4],[5],[7]]=>4 [1,2,3,6,8,4,5,7]=>[1,8,6,2,3,4,5,7]=>[7,5,4,3,2,6,8,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>5 [6,1,2,3,4,5,8,7]=>[1,2,3,4,6,8,5,7]=>[7,5,8,6,4,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>6 [1,2,6,3,4,5,8,7]=>[1,2,6,8,3,4,5,7]=>[7,5,4,3,8,6,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>4 [1,2,3,6,4,5,8,7]=>[1,6,8,2,3,4,5,7]=>[7,5,4,3,2,8,6,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>3 [1,2,3,4,6,8,5,7]=>[8,6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [1,6,2,3,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[8,7,5,4,6,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>4 [1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>3 [1,2,3,6,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[8,7,5,4,3,2,6,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>2 [7,1,8,2,3,4,5,6]=>[1,2,3,7,4,5,8,6]=>[6,8,5,4,7,3,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>11 [7,1,2,8,3,4,5,6]=>[1,2,7,3,4,5,8,6]=>[6,8,5,4,3,7,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>10 [1,7,2,8,3,4,5,6]=>[1,2,7,3,4,8,5,6]=>[6,5,8,4,3,7,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>9 [1,7,8,2,3,4,5,6]=>[1,2,3,7,4,8,5,6]=>[6,5,8,4,7,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>10 [7,1,2,3,8,4,5,6]=>[1,7,2,3,4,5,8,6]=>[6,8,5,4,3,2,7,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>9 [1,7,2,3,8,4,5,6]=>[1,7,2,3,4,8,5,6]=>[6,5,8,4,3,2,7,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>8 [1,2,7,3,8,4,5,6]=>[1,7,2,3,8,4,5,6]=>[6,5,4,8,3,2,7,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>7 [1,2,7,8,3,4,5,6]=>[1,2,7,3,8,4,5,6]=>[6,5,4,8,3,7,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>8 [7,1,2,3,4,8,5,6]=>[7,1,2,3,4,5,8,6]=>[6,8,5,4,3,2,1,7]=>[[1,2],[3,8],[4],[5],[6],[7]]=>8 [1,7,2,3,4,8,5,6]=>[7,1,2,3,4,8,5,6]=>[6,5,8,4,3,2,1,7]=>[[1,3],[2,8],[4],[5],[6],[7]]=>7 [1,2,7,3,4,8,5,6]=>[7,1,2,3,8,4,5,6]=>[6,5,4,8,3,2,1,7]=>[[1,4],[2,8],[3],[5],[6],[7]]=>6 [1,2,3,7,4,8,5,6]=>[7,1,2,8,3,4,5,6]=>[6,5,4,3,8,2,1,7]=>[[1,5],[2,8],[3],[4],[6],[7]]=>5 [1,2,3,7,8,4,5,6]=>[1,7,2,8,3,4,5,6]=>[6,5,4,3,8,2,7,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>6 [7,1,2,3,4,5,8,6]=>[1,2,3,4,5,7,8,6]=>[6,8,7,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>7 [1,7,2,3,4,5,8,6]=>[1,2,3,4,7,8,5,6]=>[6,5,8,7,4,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>6 [1,2,3,7,4,5,8,6]=>[1,2,7,8,3,4,5,6]=>[6,5,4,3,8,7,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>4 [1,2,3,4,7,5,8,6]=>[1,7,8,2,3,4,5,6]=>[6,5,4,3,2,8,7,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>3 [1,2,3,4,7,8,5,6]=>[7,1,8,2,3,4,5,6]=>[6,5,4,3,2,8,1,7]=>[[1,6],[2,8],[3],[4],[5],[7]]=>4 [1,7,2,3,4,5,6,8]=>[1,2,3,4,7,5,6,8]=>[8,6,5,7,4,3,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>5 [1,2,7,3,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[8,6,5,4,7,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>4 [1,2,3,7,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[8,6,5,4,3,7,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>3 [1,2,3,4,7,5,6,8]=>[1,7,2,3,4,5,6,8]=>[8,6,5,4,3,2,7,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>2 [1,8,2,3,4,5,6,7]=>[1,2,3,4,5,8,6,7]=>[7,6,8,5,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>6 [1,2,8,3,4,5,6,7]=>[1,2,3,4,8,5,6,7]=>[7,6,5,8,4,3,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>5 [1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[7,6,5,4,8,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>4 [1,2,3,4,8,5,6,7]=>[1,2,8,3,4,5,6,7]=>[7,6,5,4,3,8,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>3 [1,2,3,4,5,8,6,7]=>[1,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>2 [5,3,2,6,1,4,8,7]=>[3,2,5,1,6,8,4,7]=>[7,4,8,6,1,5,2,3]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [7,3,2,5,4,8,1,6]=>[3,5,2,4,7,1,8,6]=>[6,8,1,7,4,2,5,3]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [8,4,5,2,3,7,6,1]=>[4,2,5,8,3,7,6,1]=>[1,6,7,3,8,5,2,4]=>[[1,2,3,5],[4,6],[7,8]]=>18 [7,4,5,2,3,8,1,6]=>[4,2,5,3,7,1,8,6]=>[6,8,1,7,3,5,2,4]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [6,4,5,2,3,1,8,7]=>[4,2,6,5,3,8,1,7]=>[7,1,8,3,5,6,2,4]=>[[1,3,5,6],[2,4],[7,8]]=>14 [5,4,6,2,1,3,8,7]=>[5,4,2,1,6,8,3,7]=>[7,3,8,6,1,2,4,5]=>[[1,3,7,8],[2,4],[5,6]]=>12 [3,6,1,5,4,2,8,7]=>[6,3,5,1,4,8,2,7]=>[7,2,8,4,1,5,3,6]=>[[1,3,6,8],[2,4],[5,7]]=>10 [4,6,5,1,3,2,8,7]=>[4,6,1,5,3,8,2,7]=>[7,2,8,3,5,1,6,4]=>[[1,3,5,7],[2,4],[6,8]]=>12 [5,6,4,3,1,2,8,7]=>[5,1,6,4,3,8,2,7]=>[7,2,8,3,4,6,1,5]=>[[1,3,5,6],[2,4],[7,8]]=>14 [7,5,4,3,2,8,1,6]=>[5,4,3,2,7,1,8,6]=>[6,8,1,7,2,3,4,5]=>[[1,2,6,7,8],[3,4],[5]]=>18 [8,6,4,3,7,2,5,1]=>[4,3,6,2,8,7,5,1]=>[1,5,7,8,2,6,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>22 [7,6,4,3,8,2,1,5]=>[4,3,7,6,2,1,8,5]=>[5,8,1,2,6,7,3,4]=>[[1,2,5,6],[3,4,8],[7]]=>20 [6,7,4,3,8,1,2,5]=>[6,4,3,1,7,2,8,5]=>[5,8,2,7,1,3,4,6]=>[[1,2,7,8],[3,4],[5,6]]=>18 [5,7,4,3,1,8,2,6]=>[7,5,4,3,1,8,2,6]=>[6,2,8,1,3,4,5,7]=>[[1,3,6,7,8],[2,5],[4]]=>16 [4,7,5,1,3,8,2,6]=>[1,4,7,5,8,3,2,6]=>[6,2,3,8,5,7,4,1]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [3,7,1,5,4,8,2,6]=>[7,1,3,5,8,4,2,6]=>[6,2,4,8,5,3,1,7]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [2,1,7,5,4,8,3,6]=>[7,2,5,8,4,1,3,6]=>[6,3,1,4,8,5,2,7]=>[[1,4,5,8],[2,6],[3,7]]=>10 [3,8,1,5,4,7,6,2]=>[3,5,8,7,1,4,6,2]=>[2,6,4,1,7,8,5,3]=>[[1,2,5,6],[3,7],[4,8]]=>14 [4,8,5,1,3,7,6,2]=>[1,4,5,8,7,3,6,2]=>[2,6,3,7,8,5,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [5,8,4,3,1,7,6,2]=>[1,5,4,8,7,3,6,2]=>[2,6,3,7,8,4,5,1]=>[[1,2,4,5],[3,6,7],[8]]=>18 [6,8,4,3,7,1,5,2]=>[6,4,3,8,1,7,5,2]=>[2,5,7,1,8,3,4,6]=>[[1,2,3,5],[4,6,7,8]]=>20 [7,8,4,3,6,5,1,2]=>[4,3,7,1,8,6,5,2]=>[2,5,6,8,1,7,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>22 [6,8,5,7,3,1,4,2]=>[1,8,6,5,3,7,4,2]=>[2,4,7,3,5,6,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>22 [5,8,6,7,1,3,4,2]=>[1,5,8,6,3,7,4,2]=>[2,4,7,3,6,8,5,1]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [4,8,6,1,7,3,5,2]=>[4,6,1,8,7,3,5,2]=>[2,5,3,7,8,1,6,4]=>[[1,2,4,5],[3,7],[6,8]]=>18 [3,8,1,6,7,4,5,2]=>[6,8,7,3,1,4,5,2]=>[2,5,4,1,3,7,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>16 [2,1,8,6,7,4,5,3]=>[6,2,8,7,4,5,1,3]=>[3,1,5,4,7,8,2,6]=>[[1,3,5,6],[2,4,8],[7]]=>14 [2,1,7,6,8,4,3,5]=>[7,6,2,8,4,1,3,5]=>[5,3,1,4,8,2,6,7]=>[[1,4,5,8],[2,6,7],[3]]=>12 [3,7,1,6,8,4,2,5]=>[7,3,1,6,8,4,2,5]=>[5,2,4,8,6,1,3,7]=>[[1,3,4,8],[2,5],[6,7]]=>14 [4,7,6,1,8,3,2,5]=>[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[[1,3,4,6,7],[2,5],[8]]=>16 [5,7,6,8,1,3,2,4]=>[5,7,1,6,3,2,8,4]=>[4,8,2,3,6,1,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>18 [5,4,7,2,1,8,3,6]=>[5,2,7,4,1,8,3,6]=>[6,3,8,1,4,7,2,5]=>[[1,3,6],[2,5,8],[4,7]]=>14 [6,4,7,2,8,1,3,5]=>[4,2,6,1,7,3,8,5]=>[5,8,3,7,1,6,2,4]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [7,4,6,2,8,3,1,5]=>[4,7,2,6,3,1,8,5]=>[5,8,1,3,6,2,7,4]=>[[1,2,5,7],[3,4],[6,8]]=>18 [8,4,6,2,7,3,5,1]=>[2,4,8,6,3,7,5,1]=>[1,5,7,3,6,8,4,2]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [8,3,2,6,7,4,5,1]=>[3,8,6,2,4,7,5,1]=>[1,5,7,4,2,6,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>18 [7,3,2,6,8,4,1,5]=>[7,3,6,2,4,1,8,5]=>[5,8,1,4,2,6,3,7]=>[[1,2,6,8],[3,4],[5,7]]=>16 [6,3,2,7,8,1,4,5]=>[3,6,7,2,1,4,8,5]=>[5,8,4,1,2,7,6,3]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [5,3,2,7,1,8,4,6]=>[3,5,2,7,1,8,4,6]=>[6,4,8,1,7,2,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [4,3,2,1,7,8,5,6]=>[4,3,7,8,2,1,5,6]=>[6,5,1,2,8,7,3,4]=>[[1,4,5,8],[2,6],[3,7]]=>10 [3,4,1,2,8,7,6,5]=>[8,3,7,1,4,6,2,5]=>[5,2,6,4,1,7,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>10 [5,3,2,8,1,7,6,4]=>[3,8,2,5,7,1,6,4]=>[4,6,1,7,5,2,8,3]=>[[1,2,4,7],[3,5,8],[6]]=>14 [6,3,2,8,7,1,5,4]=>[8,3,6,2,7,1,5,4]=>[4,5,1,7,2,6,3,8]=>[[1,2,4,8],[3,5,6],[7]]=>16 [7,3,2,8,6,5,1,4]=>[7,8,3,6,2,1,5,4]=>[4,5,1,2,6,3,8,7]=>[[1,2,5,7],[3,4,6,8]]=>18 [8,4,7,2,6,5,3,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[[1,2,3,4,6,8],[5,7]]=>22 [7,4,8,2,6,5,1,3]=>[4,7,8,2,1,6,5,3]=>[3,5,6,1,2,8,7,4]=>[[1,2,3,6],[4,5,7],[8]]=>20 [6,4,8,2,7,1,5,3]=>[4,2,6,8,1,7,5,3]=>[3,5,7,1,8,6,2,4]=>[[1,2,3,5],[4,6,8],[7]]=>18 [5,4,8,2,1,7,6,3]=>[5,4,8,2,7,1,6,3]=>[3,6,1,7,2,8,4,5]=>[[1,2,4,6],[3,5,7,8]]=>16 [4,5,8,1,2,7,6,3]=>[4,8,1,5,7,2,6,3]=>[3,6,2,7,5,1,8,4]=>[[1,2,4,7],[3,5],[6,8]]=>14 [3,5,1,8,2,7,6,4]=>[5,8,3,7,1,6,2,4]=>[4,2,6,1,7,3,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>12 [2,1,5,8,3,7,6,4]=>[5,8,7,2,6,1,3,4]=>[4,3,1,6,2,7,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>10 [2,1,6,8,7,3,5,4]=>[8,6,2,7,5,1,3,4]=>[4,3,1,5,7,2,6,8]=>[[1,4,5,8],[2,6,7],[3]]=>12 [3,6,1,8,7,2,5,4]=>[3,6,8,1,7,5,2,4]=>[4,2,5,7,1,8,6,3]=>[[1,3,4,6],[2,7],[5,8]]=>14 [4,6,8,1,7,2,5,3]=>[6,4,8,1,7,2,5,3]=>[3,5,2,7,1,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>16 [5,6,8,7,1,2,4,3]=>[5,1,6,8,2,7,4,3]=>[3,4,7,2,8,6,1,5]=>[[1,2,3,5],[4,6],[7,8]]=>18 [6,5,8,7,2,1,4,3]=>[6,5,2,8,1,7,4,3]=>[3,4,7,1,8,2,5,6]=>[[1,2,3,5],[4,6,7,8]]=>20 [7,5,8,6,2,4,1,3]=>[5,2,7,1,8,6,4,3]=>[3,4,6,8,1,7,2,5]=>[[1,2,3,4],[5,6,8],[7]]=>22 [8,5,7,6,2,4,3,1]=>[5,8,2,7,6,4,3,1]=>[1,3,4,6,7,2,8,5]=>[[1,2,3,4,5,7],[6,8]]=>24 [5,7,8,6,1,4,2,3]=>[7,5,1,8,2,6,4,3]=>[3,4,6,2,8,1,5,7]=>[[1,2,3,5],[4,7,8],[6]]=>20 [4,7,8,1,6,5,2,3]=>[4,7,1,8,6,2,5,3]=>[3,5,2,6,8,1,7,4]=>[[1,2,4,5],[3,7],[6,8]]=>18 [3,7,1,8,6,5,2,4]=>[7,8,3,1,6,5,2,4]=>[4,2,5,6,1,3,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>16 [2,1,7,8,6,5,3,4]=>[7,8,6,5,2,1,3,4]=>[4,3,1,2,5,6,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>14 [3,8,1,7,6,5,4,2]=>[8,7,6,3,5,1,4,2]=>[2,4,1,5,3,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>18 [4,8,7,1,6,5,3,2]=>[8,7,4,6,1,5,3,2]=>[2,3,5,1,6,4,7,8]=>[[1,2,3,5,7,8],[4,6]]=>20 [5,8,7,6,1,4,3,2]=>[8,5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5,8]=>[[1,2,3,4,6,8],[5,7]]=>22 [6,8,7,5,4,1,3,2]=>[6,8,1,7,5,4,3,2]=>[2,3,4,5,7,1,8,6]=>[[1,2,3,4,5,7],[6,8]]=>24 [2,1,4,3,6,5,8,7,10,9]=>[2,4,6,8,10,1,3,5,7,9]=>[9,7,5,3,1,10,8,6,4,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>5 [5,6,7,8,1,2,3,4,10,9]=>[5,1,6,2,7,3,8,10,4,9]=>[9,4,10,8,3,7,2,6,1,5]=>[[1,3],[2,4],[5,6],[7,8],[9,10]]=>17 [8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,10,1,9]=>[9,1,10,2,3,4,5,6,7,8]=>[[1,3,5,6,7,8,9,10],[2,4]]=>29 [2,1,4,3,6,5,10,9,8,7]=>[10,9,2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2,9,10]=>[[1,5,9,10],[2,6],[3,7],[4,8]]=>9 [6,5,4,3,2,1,10,9,8,7]=>[6,5,4,10,3,9,2,8,1,7]=>[7,1,8,2,9,3,10,4,5,6]=>[[1,3,5,7,9,10],[2,4,6,8]]=>21 [2,1,4,3,10,9,8,7,6,5]=>[10,9,8,7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7,8,9,10]=>[[1,4,7,8,9,10],[2,5],[3,6]]=>17 [4,3,2,1,10,9,8,7,6,5]=>[10,9,4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4,9,10]=>[[1,3,5,7,9,10],[2,4,6,8]]=>21 [2,1,10,9,8,7,6,5,4,3]=>[10,9,8,7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7,8,9,10]=>[[1,3,5,6,7,8,9,10],[2,4]]=>29 [3,10,1,9,8,7,6,5,4,2]=>[10,9,8,7,6,3,5,1,4,2]=>[2,4,1,5,3,6,7,8,9,10]=>[[1,2,4,6,7,8,9,10],[3,5]]=>31 [8,10,9,7,6,5,4,1,3,2]=>[8,10,1,9,7,6,5,4,3,2]=>[2,3,4,5,6,7,9,1,10,8]=>[[1,2,3,4,5,6,7,9],[8,10]]=>41 [9,10,8,7,6,5,4,3,1,2]=>[9,1,10,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,10,1,9]=>[[1,2,3,4,5,6,7,8],[9,10]]=>43 [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]=>[[1,2,3,4,5,6,7,8,9,10]]=>45 [3,2,5,1,4,6,7,8]=>[3,5,2,1,4,6,7,8]=>[8,7,6,4,1,2,5,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [4,2,5,1,3,6,7,8]=>[2,4,1,5,3,6,7,8]=>[8,7,6,3,5,1,4,2]=>[[1,5],[2,7],[3],[4],[6],[8]]=>6 [5,2,4,1,3,6,7,8]=>[5,2,1,4,3,6,7,8]=>[8,7,6,3,4,1,2,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [3,2,6,1,4,5,7,8]=>[6,3,2,1,4,5,7,8]=>[8,7,5,4,1,2,3,6]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [5,3,6,1,2,4,7,8]=>[3,1,5,2,6,4,7,8]=>[8,7,4,6,2,5,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>9 [6,2,4,1,3,5,7,8]=>[4,2,1,3,6,5,7,8]=>[8,7,5,6,3,1,2,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [3,2,7,1,4,5,6,8]=>[3,2,1,7,4,5,6,8]=>[8,6,5,4,7,1,2,3]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [5,2,7,1,3,4,6,8]=>[2,1,5,3,7,4,6,8]=>[8,6,4,7,3,5,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>9 [6,2,7,1,3,4,5,8]=>[2,1,6,3,4,7,5,8]=>[8,5,7,4,3,6,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>10 [6,4,7,1,2,3,5,8]=>[1,4,2,6,3,7,5,8]=>[8,5,7,3,6,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [7,3,6,1,2,4,5,8]=>[1,3,2,7,4,6,5,8]=>[8,5,6,4,7,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [3,2,8,1,4,5,6,7]=>[3,2,1,4,8,5,6,7]=>[7,6,5,8,4,1,2,3]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [4,2,8,1,3,5,6,7]=>[2,1,4,3,8,5,6,7]=>[7,6,5,8,3,4,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>9 [4,3,8,1,2,5,6,7]=>[1,4,3,2,8,5,6,7]=>[7,6,5,8,2,3,4,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [5,2,8,1,3,4,6,7]=>[2,1,3,8,5,4,6,7]=>[7,6,4,5,8,3,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [5,4,8,1,2,3,6,7]=>[1,2,8,5,4,3,6,7]=>[7,6,3,4,5,8,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>12 [6,2,8,1,3,4,5,7]=>[2,1,3,6,4,8,5,7]=>[7,5,8,4,6,3,1,2]=>[[1,3],[2,5],[4,8],[6],[7]]=>11 [6,3,8,1,2,4,5,7]=>[1,3,2,6,4,8,5,7]=>[7,5,8,4,6,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [6,5,8,1,2,3,4,7]=>[1,2,6,3,8,5,4,7]=>[7,4,5,8,3,6,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [7,3,8,1,2,4,5,6]=>[1,3,2,7,4,5,8,6]=>[6,8,5,4,7,2,3,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>13 [7,4,8,1,2,3,5,6]=>[1,2,7,4,3,5,8,6]=>[6,8,5,3,4,7,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [7,5,8,1,2,3,4,6]=>[1,2,5,3,7,4,8,6]=>[6,8,4,7,3,5,2,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>15 [8,2,4,1,3,5,6,7]=>[4,2,1,3,5,6,8,7]=>[7,8,6,5,3,1,2,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [8,4,6,1,2,3,5,7]=>[1,2,6,4,3,5,8,7]=>[7,8,5,3,4,6,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [8,2,7,1,3,4,5,6]=>[2,1,3,4,8,5,7,6]=>[6,7,5,8,4,3,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [8,3,7,1,2,4,5,6]=>[1,3,2,4,8,5,7,6]=>[6,7,5,8,4,2,3,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [8,4,7,1,2,3,5,6]=>[1,2,4,3,8,5,7,6]=>[6,7,5,8,3,4,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [8,5,7,1,2,3,4,6]=>[1,2,3,8,5,4,7,6]=>[6,7,4,5,8,3,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [3,2,5,7,1,4,6,8]=>[7,3,5,2,1,4,6,8]=>[8,6,4,1,2,5,3,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [4,2,5,7,1,3,6,8]=>[7,2,4,1,5,3,6,8]=>[8,6,3,5,1,4,2,7]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [4,3,5,7,1,2,6,8]=>[4,7,3,1,5,2,6,8]=>[8,6,2,5,1,3,7,4]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [5,2,4,7,1,3,6,8]=>[5,7,2,1,4,3,6,8]=>[8,6,3,4,1,2,7,5]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [5,3,4,7,1,2,6,8]=>[3,5,1,7,4,2,6,8]=>[8,6,2,4,7,1,5,3]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [3,2,6,7,1,4,5,8]=>[6,7,3,2,1,4,5,8]=>[8,5,4,1,2,3,7,6]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [4,2,6,7,1,3,5,8]=>[4,6,2,1,7,3,5,8]=>[8,5,3,7,1,2,6,4]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [4,3,6,7,1,2,5,8]=>[4,6,1,7,3,2,5,8]=>[8,5,2,3,7,1,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [5,2,6,7,1,3,4,8]=>[5,6,2,1,3,7,4,8]=>[8,4,7,3,1,2,6,5]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [5,3,6,7,1,2,4,8]=>[3,5,1,6,2,7,4,8]=>[8,4,7,2,6,1,5,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [6,2,4,7,1,3,5,8]=>[4,6,2,1,3,7,5,8]=>[8,5,7,3,1,2,6,4]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [6,3,4,7,1,2,5,8]=>[3,4,1,6,2,7,5,8]=>[8,5,7,2,6,1,4,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [6,2,5,7,1,3,4,8]=>[6,5,2,1,3,7,4,8]=>[8,4,7,3,1,2,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [7,2,4,6,1,3,5,8]=>[7,4,2,1,3,6,5,8]=>[8,5,6,3,1,2,4,7]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [7,3,4,6,1,2,5,8]=>[7,3,1,4,2,6,5,8]=>[8,5,6,2,4,1,3,7]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [7,3,5,6,1,2,4,8]=>[3,1,7,5,2,6,4,8]=>[8,4,6,2,5,7,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [3,2,5,8,1,4,6,7]=>[3,8,5,2,1,4,6,7]=>[7,6,4,1,2,5,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [5,3,4,8,1,2,6,7]=>[5,3,1,8,4,2,6,7]=>[7,6,2,4,8,1,3,5]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [4,2,6,8,1,3,5,7]=>[8,4,2,1,6,3,5,7]=>[7,5,3,6,1,2,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [5,4,6,8,1,2,3,7]=>[5,1,8,4,2,6,3,7]=>[7,3,6,2,4,8,1,5]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [6,2,4,8,1,3,5,7]=>[6,4,2,1,3,8,5,7]=>[7,5,8,3,1,2,4,6]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [6,3,4,8,1,2,5,7]=>[6,3,1,4,2,8,5,7]=>[7,5,8,2,4,1,3,6]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [6,3,5,8,1,2,4,7]=>[6,1,8,3,2,5,4,7]=>[7,4,5,2,3,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [6,4,5,8,1,2,3,7]=>[4,1,6,2,8,5,3,7]=>[7,3,5,8,2,6,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [4,3,7,8,1,2,5,6]=>[7,1,8,4,3,2,5,6]=>[6,5,2,3,4,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [6,2,7,8,1,3,4,5]=>[6,2,1,7,3,4,8,5]=>[5,8,4,3,7,1,2,6]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [6,3,7,8,1,2,4,5]=>[6,1,7,3,2,4,8,5]=>[5,8,4,2,3,7,1,6]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [6,4,7,8,1,2,3,5]=>[4,1,6,2,7,3,8,5]=>[5,8,3,7,2,6,1,4]=>[[1,2],[3,4],[5,6],[7,8]]=>16 [7,4,5,8,1,2,3,6]=>[4,1,5,2,7,3,8,6]=>[6,8,3,7,2,5,1,4]=>[[1,2],[3,4],[5,6],[7,8]]=>16 [7,2,6,8,1,3,4,5]=>[2,1,7,6,3,4,8,5]=>[5,8,4,3,6,7,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [7,3,6,8,1,2,4,5]=>[1,7,6,3,2,4,8,5]=>[5,8,4,2,3,6,7,1]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [7,4,6,8,1,2,3,5]=>[1,7,4,2,6,3,8,5]=>[5,8,3,6,2,4,7,1]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [8,2,4,6,1,3,5,7]=>[6,4,2,1,3,5,8,7]=>[7,8,5,3,1,2,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [8,3,4,6,1,2,5,7]=>[6,3,1,4,2,5,8,7]=>[7,8,5,2,4,1,3,6]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [8,4,5,7,1,2,3,6]=>[1,8,4,2,5,3,7,6]=>[6,7,3,5,2,4,8,1]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [8,2,6,7,1,3,4,5]=>[2,1,8,3,6,4,7,5]=>[5,7,4,6,3,8,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [3,6,2,5,1,4,7,8]=>[3,6,5,2,1,4,7,8]=>[8,7,4,1,2,5,6,3]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [4,6,2,5,1,3,7,8]=>[4,6,2,1,5,3,7,8]=>[8,7,3,5,1,2,6,4]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [4,6,3,5,1,2,7,8]=>[6,4,3,1,5,2,7,8]=>[8,7,2,5,1,3,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [5,7,2,4,1,3,6,8]=>[7,2,1,5,4,3,6,8]=>[8,6,3,4,5,1,2,7]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [4,7,2,6,1,3,5,8]=>[4,2,1,7,6,3,5,8]=>[8,5,3,6,7,1,2,4]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [5,7,2,6,1,3,4,8]=>[5,2,1,7,3,6,4,8]=>[8,4,6,3,7,1,2,5]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [5,7,3,6,1,2,4,8]=>[5,1,7,3,2,6,4,8]=>[8,4,6,2,3,7,1,5]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [5,7,4,6,1,2,3,8]=>[1,7,5,4,2,6,3,8]=>[8,3,6,2,4,5,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [4,8,2,5,1,3,6,7]=>[2,4,1,5,3,8,6,7]=>[7,6,8,3,5,1,4,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [4,8,3,5,1,2,6,7]=>[4,3,1,5,2,8,6,7]=>[7,6,8,2,5,1,3,4]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [4,8,2,6,1,3,5,7]=>[4,2,1,8,3,6,5,7]=>[7,5,6,3,8,1,2,4]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [5,8,2,6,1,3,4,7]=>[5,2,1,3,8,6,4,7]=>[7,4,6,8,3,1,2,5]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [6,8,2,4,1,3,5,7]=>[4,2,1,3,8,6,5,7]=>[7,5,6,8,3,1,2,4]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [6,8,3,4,1,2,5,7]=>[3,1,4,2,8,6,5,7]=>[7,5,6,8,2,4,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [6,8,3,5,1,2,4,7]=>[1,8,3,2,6,5,4,7]=>[7,4,5,6,2,3,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [3,8,2,7,1,4,5,6]=>[3,2,1,8,4,7,5,6]=>[6,5,7,4,8,1,2,3]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [5,8,2,7,1,3,4,6]=>[2,1,5,3,8,7,4,6]=>[6,4,7,8,3,5,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [5,8,3,7,1,2,4,6]=>[1,5,3,2,8,7,4,6]=>[6,4,7,8,2,3,5,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [5,8,4,7,1,2,3,6]=>[1,5,2,8,7,4,3,6]=>[6,3,4,7,8,2,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [6,8,2,7,1,3,4,5]=>[2,1,6,3,8,4,7,5]=>[5,7,4,8,3,6,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [6,8,5,7,1,2,3,4]=>[1,2,8,6,5,3,7,4]=>[4,7,3,5,6,8,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [7,8,2,4,1,3,5,6]=>[4,2,1,3,7,5,8,6]=>[6,8,5,7,3,1,2,4]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [7,8,2,5,1,3,4,6]=>[2,1,7,3,5,4,8,6]=>[6,8,4,5,3,7,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [7,8,2,6,1,3,4,5]=>[2,1,7,3,4,8,6,5]=>[5,6,8,4,3,7,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [7,8,4,6,1,2,3,5]=>[1,4,2,7,3,8,6,5]=>[5,6,8,3,7,2,4,1]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [4,3,2,6,1,5,7,8]=>[4,3,6,2,1,5,7,8]=>[8,7,5,1,2,6,3,4]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [5,3,2,6,1,4,7,8]=>[3,2,5,1,6,4,7,8]=>[8,7,4,6,1,5,2,3]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [6,3,2,5,1,4,7,8]=>[3,6,2,1,5,4,7,8]=>[8,7,4,5,1,2,6,3]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [6,4,2,5,1,3,7,8]=>[2,4,1,6,5,3,7,8]=>[8,7,3,5,6,1,4,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [6,5,2,4,1,3,7,8]=>[6,2,1,5,4,3,7,8]=>[8,7,3,4,5,1,2,6]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [5,4,2,7,1,3,6,8]=>[5,4,2,1,7,3,6,8]=>[8,6,3,7,1,2,4,5]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [5,4,3,7,1,2,6,8]=>[5,4,1,7,3,2,6,8]=>[8,6,2,3,7,1,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [6,4,2,7,1,3,5,8]=>[2,4,1,6,3,7,5,8]=>[8,5,7,3,6,1,4,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [6,4,3,7,1,2,5,8]=>[4,3,1,6,2,7,5,8]=>[8,5,7,2,6,1,3,4]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [6,5,2,7,1,3,4,8]=>[6,2,1,5,3,7,4,8]=>[8,4,7,3,5,1,2,6]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [6,5,3,7,1,2,4,8]=>[3,1,6,5,2,7,4,8]=>[8,4,7,2,5,6,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [7,4,2,5,1,3,6,8]=>[2,4,1,5,3,7,6,8]=>[8,6,7,3,5,1,4,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [7,5,2,4,1,3,6,8]=>[5,2,1,4,3,7,6,8]=>[8,6,7,3,4,1,2,5]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [7,3,2,6,1,4,5,8]=>[7,3,2,1,4,6,5,8]=>[8,5,6,4,1,2,3,7]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [7,5,3,6,1,2,4,8]=>[3,1,5,2,7,6,4,8]=>[8,4,6,7,2,5,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [4,3,2,8,1,5,6,7]=>[8,4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4,8]=>[[1,5,6,7,8],[2],[3],[4]]=>10 [5,4,3,8,1,2,6,7]=>[5,1,8,4,3,2,6,7]=>[7,6,2,3,4,8,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [6,3,2,8,1,4,5,7]=>[6,3,2,1,4,8,5,7]=>[7,5,8,4,1,2,3,6]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [7,5,3,8,1,2,4,6]=>[3,1,5,2,7,4,8,6]=>[6,8,4,7,2,5,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>16 [7,6,4,8,1,2,3,5]=>[1,4,2,7,6,3,8,5]=>[5,8,3,6,7,2,4,1]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [8,4,2,5,1,3,6,7]=>[2,4,1,5,3,6,8,7]=>[7,8,6,3,5,1,4,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>13 [8,5,2,4,1,3,6,7]=>[5,2,1,4,3,6,8,7]=>[7,8,6,3,4,1,2,5]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [8,3,2,6,1,4,5,7]=>[6,3,2,1,4,5,8,7]=>[7,8,5,4,1,2,3,6]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [8,5,3,6,1,2,4,7]=>[3,1,5,2,6,4,8,7]=>[7,8,4,6,2,5,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>16 [8,6,2,4,1,3,5,7]=>[4,2,1,3,6,5,8,7]=>[7,8,5,6,3,1,2,4]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [8,6,2,5,1,3,4,7]=>[2,1,6,3,5,4,8,7]=>[7,8,4,5,3,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [8,3,2,7,1,4,5,6]=>[3,2,1,8,4,5,7,6]=>[6,7,5,4,8,1,2,3]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [8,5,2,7,1,3,4,6]=>[2,1,5,3,8,4,7,6]=>[6,7,4,8,3,5,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [8,5,3,7,1,2,4,6]=>[1,5,3,2,8,4,7,6]=>[6,7,4,8,2,3,5,1]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [8,6,2,7,1,3,4,5]=>[2,1,6,3,4,8,7,5]=>[5,7,8,4,3,6,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [8,7,2,5,1,3,4,6]=>[2,1,5,3,4,8,7,6]=>[6,7,8,4,3,5,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [8,7,3,5,1,2,4,6]=>[1,5,3,2,4,8,7,6]=>[6,7,8,4,2,3,5,1]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [4,6,2,5,8,1,3,7]=>[4,6,8,2,1,5,3,7]=>[7,3,5,1,2,8,6,4]=>[[1,3,6],[2,5,7],[4,8]]=>13 [4,7,2,5,8,1,3,6]=>[2,4,7,1,8,5,3,6]=>[6,3,5,8,1,7,4,2]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [4,7,3,6,8,1,2,5]=>[4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>16 [5,7,2,6,8,1,3,4]=>[7,2,5,1,6,3,8,4]=>[4,8,3,6,1,5,2,7]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [5,7,4,6,8,1,2,3]=>[7,5,4,1,6,2,8,3]=>[3,8,2,6,1,4,5,7]=>[[1,2,7,8],[3,4],[5,6]]=>18 [6,7,2,4,8,1,3,5]=>[6,2,4,1,7,3,8,5]=>[5,8,3,7,1,4,2,6]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [6,7,3,5,8,1,2,4]=>[3,6,1,7,5,2,8,4]=>[4,8,2,5,7,1,6,3]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [3,8,2,5,7,1,4,6]=>[8,3,7,2,1,5,4,6]=>[6,4,5,1,2,7,3,8]=>[[1,3,6,8],[2,5,7],[4]]=>14 [4,8,2,5,7,1,3,6]=>[8,2,4,1,7,5,3,6]=>[6,3,5,7,1,4,2,8]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [4,8,3,6,7,1,2,5]=>[4,6,1,8,7,3,2,5]=>[5,2,3,7,8,1,6,4]=>[[1,3,4,5],[2,7],[6,8]]=>17 [5,8,2,6,7,1,3,4]=>[5,8,2,1,6,3,7,4]=>[4,7,3,6,1,2,8,5]=>[[1,2,7],[3,4,8],[5,6]]=>17 [6,8,2,4,7,1,3,5]=>[6,8,2,1,4,3,7,5]=>[5,7,3,4,1,2,8,6]=>[[1,2,7],[3,4,8],[5,6]]=>17 [6,8,3,5,7,1,2,4]=>[6,3,1,8,5,2,7,4]=>[4,7,2,5,8,1,3,6]=>[[1,2,5],[3,4,8],[6,7]]=>19 [7,8,2,4,6,1,3,5]=>[4,7,2,1,3,8,6,5]=>[5,6,8,3,1,2,7,4]=>[[1,2,3],[4,6,7],[5,8]]=>18 [7,8,3,5,6,1,2,4]=>[7,3,1,5,2,8,6,4]=>[4,6,8,2,5,1,3,7]=>[[1,2,3],[4,5,8],[6,7]]=>20 [6,3,2,5,8,1,4,7]=>[3,6,8,2,1,5,4,7]=>[7,4,5,1,2,8,6,3]=>[[1,3,6],[2,5,7],[4,8]]=>13 [6,4,2,5,8,1,3,7]=>[2,4,6,1,8,5,3,7]=>[7,3,5,8,1,6,4,2]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [6,4,3,5,8,1,2,7]=>[4,3,6,1,8,5,2,7]=>[7,2,5,8,1,6,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>15 [6,5,3,4,8,1,2,7]=>[3,6,5,1,8,4,2,7]=>[7,2,4,8,1,5,6,3]=>[[1,3,4,7],[2,6],[5,8]]=>16 [4,3,2,7,8,1,5,6]=>[4,7,8,3,2,1,5,6]=>[6,5,1,2,3,8,7,4]=>[[1,4,5,6],[2,7],[3,8]]=>12 [5,3,2,7,8,1,4,6]=>[3,5,7,2,1,8,4,6]=>[6,4,8,1,2,7,5,3]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [5,4,2,7,8,1,3,6]=>[5,4,7,2,1,8,3,6]=>[6,3,8,1,2,7,4,5]=>[[1,3,6,8],[2,5],[4,7]]=>14 [5,4,3,7,8,1,2,6]=>[5,4,7,1,8,3,2,6]=>[6,2,3,8,1,7,4,5]=>[[1,3,4,8],[2,6],[5,7]]=>15 [6,4,2,7,8,1,3,5]=>[2,4,6,1,7,3,8,5]=>[5,8,3,7,1,6,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>15 [6,4,3,7,8,1,2,5]=>[4,3,6,1,7,2,8,5]=>[5,8,2,7,1,6,3,4]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [6,5,2,7,8,1,3,4]=>[6,2,5,1,7,3,8,4]=>[4,8,3,7,1,5,2,6]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [6,5,3,7,8,1,2,4]=>[3,6,5,1,7,2,8,4]=>[4,8,2,7,1,5,6,3]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [7,3,2,5,8,1,4,6]=>[3,5,7,2,1,4,8,6]=>[6,8,4,1,2,7,5,3]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [7,4,3,5,8,1,2,6]=>[4,3,5,1,7,2,8,6]=>[6,8,2,7,1,5,3,4]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [7,5,2,4,8,1,3,6]=>[5,2,4,1,7,3,8,6]=>[6,8,3,7,1,4,2,5]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [7,5,3,4,8,1,2,6]=>[3,5,4,1,7,2,8,6]=>[6,8,2,7,1,4,5,3]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [7,4,2,6,8,1,3,5]=>[7,2,4,1,6,3,8,5]=>[5,8,3,6,1,4,2,7]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [7,5,2,6,8,1,3,4]=>[2,7,5,1,6,3,8,4]=>[4,8,3,6,1,5,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [7,5,3,6,8,1,2,4]=>[3,5,1,7,6,2,8,4]=>[4,8,2,6,7,1,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [7,6,2,4,8,1,3,5]=>[2,7,4,1,6,3,8,5]=>[5,8,3,6,1,4,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [7,6,3,5,8,1,2,4]=>[7,3,1,6,5,2,8,4]=>[4,8,2,5,6,1,3,7]=>[[1,2,5,8],[3,4],[6,7]]=>19 [8,3,2,5,7,1,4,6]=>[8,3,5,2,1,4,7,6]=>[6,7,4,1,2,5,3,8]=>[[1,2,6,8],[3,5],[4,7]]=>15 [8,4,2,5,7,1,3,6]=>[8,2,4,1,5,3,7,6]=>[6,7,3,5,1,4,2,8]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [8,5,3,4,7,1,2,6]=>[3,5,1,8,4,2,7,6]=>[6,7,2,4,8,1,5,3]=>[[1,2,5],[3,4,7],[6,8]]=>18 [8,3,2,6,7,1,4,5]=>[3,8,6,2,1,4,7,5]=>[5,7,4,1,2,6,8,3]=>[[1,2,6,7],[3,5],[4,8]]=>16 [8,4,2,6,7,1,3,5]=>[4,8,2,1,6,3,7,5]=>[5,7,3,6,1,2,8,4]=>[[1,2,7],[3,4,8],[5,6]]=>17 [8,4,3,6,7,1,2,5]=>[8,4,3,1,6,2,7,5]=>[5,7,2,6,1,3,4,8]=>[[1,2,7,8],[3,4],[5,6]]=>18 [8,5,2,6,7,1,3,4]=>[5,6,2,1,3,8,7,4]=>[4,7,8,3,1,2,6,5]=>[[1,2,3],[4,6,7],[5,8]]=>18 [8,5,3,6,7,1,2,4]=>[3,5,1,6,2,8,7,4]=>[4,7,8,2,6,1,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [8,6,2,4,7,1,3,5]=>[4,6,2,1,3,8,7,5]=>[5,7,8,3,1,2,6,4]=>[[1,2,3],[4,6,7],[5,8]]=>18 [8,6,3,4,7,1,2,5]=>[3,4,1,6,2,8,7,5]=>[5,7,8,2,6,1,4,3]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [8,6,3,5,7,1,2,4]=>[6,3,1,5,2,8,7,4]=>[4,7,8,2,5,1,3,6]=>[[1,2,3],[4,5,8],[6,7]]=>20 [8,7,3,5,6,1,2,4]=>[3,1,8,5,2,7,6,4]=>[4,6,7,2,5,8,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>21 [4,3,7,2,6,1,5,8]=>[7,4,3,6,2,1,5,8]=>[8,5,1,2,6,3,4,7]=>[[1,4,5,7,8],[2,6],[3]]=>12 [5,4,7,2,6,1,3,8]=>[5,4,7,2,1,6,3,8]=>[8,3,6,1,2,7,4,5]=>[[1,3,6,8],[2,5,7],[4]]=>14 [6,3,7,2,5,1,4,8]=>[6,3,7,2,1,5,4,8]=>[8,4,5,1,2,7,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>14 [6,4,7,2,5,1,3,8]=>[4,2,6,1,7,5,3,8]=>[8,3,5,7,1,6,2,4]=>[[1,3,4],[2,6,8],[5],[7]]=>15 [6,4,7,3,5,1,2,8]=>[4,6,3,1,7,5,2,8]=>[8,2,5,7,1,3,6,4]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [7,3,6,2,5,1,4,8]=>[3,7,6,2,1,5,4,8]=>[8,4,5,1,2,6,7,3]=>[[1,3,6,7],[2,5,8],[4]]=>15 [4,3,8,2,6,1,5,7]=>[4,3,8,6,2,1,5,7]=>[7,5,1,2,6,8,3,4]=>[[1,4,5,6],[2,7,8],[3]]=>13 [6,3,8,2,5,1,4,7]=>[3,2,6,1,8,5,4,7]=>[7,4,5,8,1,6,2,3]=>[[1,3,4],[2,6,8],[5,7]]=>15 [6,4,8,2,5,1,3,7]=>[2,6,4,1,8,5,3,7]=>[7,3,5,8,1,4,6,2]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [6,5,8,2,4,1,3,7]=>[2,6,1,8,5,4,3,7]=>[7,3,4,5,8,1,6,2]=>[[1,3,4,5],[2,7],[6,8]]=>17 [4,3,8,2,7,1,5,6]=>[4,8,7,3,2,1,5,6]=>[6,5,1,2,3,7,8,4]=>[[1,4,5,6,7],[2,8],[3]]=>14 [5,3,8,2,7,1,4,6]=>[5,8,3,2,1,7,4,6]=>[6,4,7,1,2,3,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>15 [5,4,8,2,7,1,3,6]=>[8,5,4,2,1,7,3,6]=>[6,3,7,1,2,4,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>16 [5,4,8,3,7,1,2,6]=>[8,5,4,1,7,3,2,6]=>[6,2,3,7,1,4,5,8]=>[[1,3,4,7,8],[2,6],[5]]=>17 [6,3,8,2,7,1,4,5]=>[6,8,3,2,1,4,7,5]=>[5,7,4,1,2,3,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>16 [6,4,8,2,7,1,3,5]=>[4,6,2,1,8,3,7,5]=>[5,7,3,8,1,2,6,4]=>[[1,2,4],[3,6,7],[5,8]]=>17 [6,4,8,3,7,1,2,5]=>[4,6,1,8,3,2,7,5]=>[5,7,2,3,8,1,6,4]=>[[1,2,5],[3,4,7],[6,8]]=>18 [6,5,8,2,7,1,3,4]=>[6,5,2,1,8,3,7,4]=>[4,7,3,8,1,2,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>18 [6,5,8,4,7,1,2,3]=>[6,1,8,5,4,2,7,3]=>[3,7,2,4,5,8,1,6]=>[[1,2,5,6],[3,4,8],[7]]=>20 [7,3,8,2,5,1,4,6]=>[3,7,5,2,1,4,8,6]=>[6,8,4,1,2,5,7,3]=>[[1,2,6,7],[3,5],[4,8]]=>16 [7,3,8,2,6,1,4,5]=>[3,7,2,1,8,4,6,5]=>[5,6,4,8,1,2,7,3]=>[[1,2,4],[3,6,7],[5,8]]=>17 [7,5,8,2,6,1,3,4]=>[2,5,1,7,3,8,6,4]=>[4,6,8,3,7,1,5,2]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [7,5,8,4,6,1,2,3]=>[5,1,7,4,2,8,6,3]=>[3,6,8,2,4,7,1,5]=>[[1,2,3],[4,5,6],[7,8]]=>21 [7,6,8,2,4,1,3,5]=>[7,2,1,6,4,3,8,5]=>[5,8,3,4,6,1,2,7]=>[[1,2,5,8],[3,4],[6,7]]=>19 [7,6,8,2,5,1,3,4]=>[7,2,1,6,3,8,5,4]=>[4,5,8,3,6,1,2,7]=>[[1,2,3,8],[4,5],[6,7]]=>20 [7,6,8,3,5,1,2,4]=>[3,1,7,6,2,8,5,4]=>[4,5,8,2,6,7,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>21 [8,4,6,2,5,1,3,7]=>[4,6,2,1,5,3,8,7]=>[7,8,3,5,1,2,6,4]=>[[1,2,7],[3,4,8],[5,6]]=>17 [8,4,6,3,5,1,2,7]=>[6,4,3,1,5,2,8,7]=>[7,8,2,5,1,3,4,6]=>[[1,2,7,8],[3,4],[5,6]]=>18 [8,5,6,2,4,1,3,7]=>[2,5,1,6,4,3,8,7]=>[7,8,3,4,6,1,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [8,3,7,2,5,1,4,6]=>[3,8,2,1,5,4,7,6]=>[6,7,4,5,1,2,8,3]=>[[1,2,7],[3,4,8],[5,6]]=>17 [8,5,7,2,4,1,3,6]=>[8,2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>19 [8,4,7,2,6,1,3,5]=>[4,2,1,8,7,3,6,5]=>[5,6,3,7,8,1,2,4]=>[[1,2,4,5],[3,7,8],[6]]=>19 [8,4,7,3,6,1,2,5]=>[4,1,8,7,3,2,6,5]=>[5,6,2,3,7,8,1,4]=>[[1,2,5,6],[3,4,8],[7]]=>20 [8,5,7,2,6,1,3,4]=>[5,2,1,8,3,7,6,4]=>[4,6,7,3,8,1,2,5]=>[[1,2,3,5],[4,7,8],[6]]=>20 [8,6,7,2,4,1,3,5]=>[6,2,1,4,3,8,7,5]=>[5,7,8,3,4,1,2,6]=>[[1,2,3],[4,5,8],[6,7]]=>20 [8,6,7,2,5,1,3,4]=>[6,2,1,3,8,7,5,4]=>[4,5,7,8,3,1,2,6]=>[[1,2,3,4],[5,7,8],[6]]=>21 [8,6,7,3,5,1,2,4]=>[3,1,6,2,8,7,5,4]=>[4,5,7,8,2,6,1,3]=>[[1,2,3,4],[5,6],[7,8]]=>22 [5,4,3,2,7,1,6,8]=>[5,4,3,7,2,1,6,8]=>[8,6,1,2,7,3,4,5]=>[[1,4,5,7,8],[2,6],[3]]=>12 [6,4,3,2,7,1,5,8]=>[4,3,2,6,1,7,5,8]=>[8,5,7,1,6,2,3,4]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [6,5,4,2,7,1,3,8]=>[2,6,5,4,1,7,3,8]=>[8,3,7,1,4,5,6,2]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [7,5,3,2,6,1,4,8]=>[3,2,5,1,7,6,4,8]=>[8,4,6,7,1,5,2,3]=>[[1,3,4],[2,6,8],[5],[7]]=>15 [7,6,5,2,4,1,3,8]=>[7,2,1,6,5,4,3,8]=>[8,3,4,5,6,1,2,7]=>[[1,3,4,5,8],[2,7],[6]]=>18 [5,4,3,2,8,1,6,7]=>[5,4,8,3,2,1,6,7]=>[7,6,1,2,3,8,4,5]=>[[1,4,5,6,8],[2,7],[3]]=>13 [6,5,3,2,8,1,4,7]=>[3,6,5,2,1,8,4,7]=>[7,4,8,1,2,5,6,3]=>[[1,3,6,7],[2,5],[4,8]]=>15 [6,5,4,2,8,1,3,7]=>[6,5,4,2,1,8,3,7]=>[7,3,8,1,2,4,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>16 [7,4,3,2,8,1,5,6]=>[4,3,7,2,1,5,8,6]=>[6,8,5,1,2,7,3,4]=>[[1,2,6,8],[3,5],[4,7]]=>15 [7,5,3,2,8,1,4,6]=>[3,2,5,1,7,4,8,6]=>[6,8,4,7,1,5,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [7,5,4,3,8,1,2,6]=>[5,4,3,1,7,2,8,6]=>[6,8,2,7,1,3,4,5]=>[[1,2,7,8],[3,4],[5,6]]=>18 [7,6,3,2,8,1,4,5]=>[3,7,2,1,6,4,8,5]=>[5,8,4,6,1,2,7,3]=>[[1,2,7],[3,4,8],[5,6]]=>17 [7,6,4,3,8,1,2,5]=>[4,3,1,7,6,2,8,5]=>[5,8,2,6,7,1,3,4]=>[[1,2,5],[3,4,8],[6,7]]=>19 [8,5,3,2,6,1,4,7]=>[3,2,5,1,6,4,8,7]=>[7,8,4,6,1,5,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [8,6,4,2,5,1,3,7]=>[2,4,1,6,5,3,8,7]=>[7,8,3,5,6,1,4,2]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [8,6,5,2,4,1,3,7]=>[6,2,1,5,4,3,8,7]=>[7,8,3,4,5,1,2,6]=>[[1,2,5,8],[3,4],[6,7]]=>19 [8,5,3,2,7,1,4,6]=>[3,5,2,1,8,4,7,6]=>[6,7,4,8,1,2,5,3]=>[[1,2,4],[3,6,7],[5,8]]=>17 [8,5,4,2,7,1,3,6]=>[5,4,2,1,8,3,7,6]=>[6,7,3,8,1,2,4,5]=>[[1,2,4,8],[3,6,7],[5]]=>18 [8,6,3,2,7,1,4,5]=>[3,6,2,1,4,8,7,5]=>[5,7,8,4,1,2,6,3]=>[[1,2,3],[4,6,7],[5,8]]=>18 [8,7,5,2,4,1,3,6]=>[5,2,1,4,3,8,7,6]=>[6,7,8,3,4,1,2,5]=>[[1,2,3],[4,5,8],[6,7]]=>20 [8,7,3,2,6,1,4,5]=>[8,3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3,8]=>[[1,2,3,8],[4,6,7],[5]]=>19 [8,7,4,2,6,1,3,5]=>[4,2,1,8,3,7,6,5]=>[5,6,7,3,8,1,2,4]=>[[1,2,3,5],[4,7,8],[6]]=>20 [8,7,4,3,6,1,2,5]=>[4,1,8,3,2,7,6,5]=>[5,6,7,2,3,8,1,4]=>[[1,2,3,6],[4,5,8],[7]]=>21 [8,7,6,2,4,1,3,5]=>[4,2,1,3,8,7,6,5]=>[5,6,7,8,3,1,2,4]=>[[1,2,3,4],[5,7,8],[6]]=>21 [8,7,6,2,5,1,3,4]=>[2,1,8,3,7,6,5,4]=>[4,5,6,7,3,8,1,2]=>[[1,2,3,4,6],[5,8],[7]]=>22 [8,7,6,3,5,1,2,4]=>[1,8,3,2,7,6,5,4]=>[4,5,6,7,2,3,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>23 [4,8,3,7,2,6,1,5]=>[8,4,3,7,6,2,1,5]=>[5,1,2,6,7,3,4,8]=>[[1,3,4,5,8],[2,6,7]]=>18 [5,8,3,7,2,6,1,4]=>[8,5,3,7,2,1,6,4]=>[4,6,1,2,7,3,5,8]=>[[1,2,5,7,8],[3,4,6]]=>19 [5,8,4,7,2,6,1,3]=>[5,4,8,7,2,1,6,3]=>[3,6,1,2,7,8,4,5]=>[[1,2,5,6],[3,4,7,8]]=>20 [5,8,4,7,3,6,1,2]=>[5,8,7,4,3,1,6,2]=>[2,6,1,3,4,7,8,5]=>[[1,2,5,6,7],[3,4,8]]=>21 [6,8,3,7,2,5,1,4]=>[3,6,8,2,1,7,5,4]=>[4,5,7,1,2,8,6,3]=>[[1,2,3,6],[4,5,7],[8]]=>20 [6,8,4,7,3,5,1,2]=>[6,8,4,3,1,7,5,2]=>[2,5,7,1,3,4,8,6]=>[[1,2,3,7],[4,5,6,8]]=>22 [6,8,5,7,2,4,1,3]=>[2,8,6,5,1,7,4,3]=>[3,4,7,1,5,6,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>22 [7,8,3,6,2,5,1,4]=>[7,3,8,2,1,6,5,4]=>[4,5,6,1,2,8,3,7]=>[[1,2,3,6],[4,5,7,8]]=>21 [7,8,4,6,2,5,1,3]=>[4,2,7,1,8,6,5,3]=>[3,5,6,8,1,7,2,4]=>[[1,2,3,4],[5,6,8],[7]]=>22 [7,8,4,6,3,5,1,2]=>[4,7,3,1,8,6,5,2]=>[2,5,6,8,1,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>23 [7,8,5,6,2,4,1,3]=>[2,7,5,1,8,6,4,3]=>[3,4,6,8,1,5,7,2]=>[[1,2,3,4],[5,6,7],[8]]=>23 [5,4,3,8,2,7,1,6]=>[5,8,4,3,7,2,1,6]=>[6,1,2,7,3,4,8,5]=>[[1,3,4,6,7],[2,5,8]]=>16 [6,4,3,8,2,7,1,5]=>[4,3,6,8,2,1,7,5]=>[5,7,1,2,8,6,3,4]=>[[1,2,5,8],[3,4,6],[7]]=>17 [6,5,3,8,2,7,1,4]=>[3,6,5,8,2,1,7,4]=>[4,7,1,2,8,5,6,3]=>[[1,2,5,7],[3,4,6],[8]]=>18 [6,5,4,8,2,7,1,3]=>[6,5,4,8,2,1,7,3]=>[3,7,1,2,8,4,5,6]=>[[1,2,5,7,8],[3,4,6]]=>19 [7,4,3,8,2,6,1,5]=>[4,7,3,8,2,1,6,5]=>[5,6,1,2,8,3,7,4]=>[[1,2,5,7],[3,4,6],[8]]=>18 [7,5,3,8,2,6,1,4]=>[3,5,2,7,1,8,6,4]=>[4,6,8,1,7,2,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [7,5,4,8,2,6,1,3]=>[5,4,2,7,1,8,6,3]=>[3,6,8,1,7,2,4,5]=>[[1,2,3,8],[4,5,7],[6]]=>20 [7,5,4,8,3,6,1,2]=>[5,4,7,3,1,8,6,2]=>[2,6,8,1,3,7,4,5]=>[[1,2,3,8],[4,5,6],[7]]=>21 [7,6,3,8,2,5,1,4]=>[7,3,2,6,1,8,5,4]=>[4,5,8,1,6,2,3,7]=>[[1,2,3,8],[4,5,7],[6]]=>20 [7,6,4,8,2,5,1,3]=>[4,2,7,6,1,8,5,3]=>[3,5,8,1,6,7,2,4]=>[[1,2,3,6],[4,5,8],[7]]=>21 [7,6,5,8,2,4,1,3]=>[2,7,6,5,1,8,4,3]=>[3,4,8,1,5,6,7,2]=>[[1,2,3,6,7],[4,5],[8]]=>22 [8,5,3,7,2,6,1,4]=>[3,5,8,2,1,7,6,4]=>[4,6,7,1,2,8,5,3]=>[[1,2,3,6],[4,5,7],[8]]=>20 [8,5,4,7,2,6,1,3]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[[1,2,3,6],[4,5,7,8]]=>21 [8,5,4,7,3,6,1,2]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[[1,2,3,7],[4,5,6,8]]=>22 [8,6,3,7,2,5,1,4]=>[3,2,8,6,1,7,5,4]=>[4,5,7,1,6,8,2,3]=>[[1,2,3,6],[4,5,8],[7]]=>21 [8,7,3,6,2,5,1,4]=>[3,8,7,2,1,6,5,4]=>[4,5,6,1,2,7,8,3]=>[[1,2,3,6,7],[4,5,8]]=>22 [8,7,4,6,2,5,1,3]=>[4,8,2,1,7,6,5,3]=>[3,5,6,7,1,2,8,4]=>[[1,2,3,4,7],[5,6,8]]=>23 [8,7,5,6,2,4,1,3]=>[2,5,1,8,7,6,4,3]=>[3,4,6,7,8,1,5,2]=>[[1,2,3,4,5],[6,7],[8]]=>24 [6,5,4,3,2,8,1,7]=>[6,5,4,3,8,2,1,7]=>[7,1,2,8,3,4,5,6]=>[[1,3,4,6,7,8],[2,5]]=>17 [7,6,4,3,2,8,1,5]=>[4,3,2,7,6,1,8,5]=>[5,8,1,6,7,2,3,4]=>[[1,2,5,8],[3,4,7],[6]]=>19 [7,6,5,3,2,8,1,4]=>[3,2,7,6,5,1,8,4]=>[4,8,1,5,6,7,2,3]=>[[1,2,5,6],[3,4,8],[7]]=>20 [7,6,5,4,2,8,1,3]=>[2,7,6,5,4,1,8,3]=>[3,8,1,4,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>21 [8,5,4,3,2,7,1,6]=>[5,4,3,8,2,1,7,6]=>[6,7,1,2,8,3,4,5]=>[[1,2,5,7,8],[3,4,6]]=>19 [8,6,4,3,2,7,1,5]=>[4,3,2,6,1,8,7,5]=>[5,7,8,1,6,2,3,4]=>[[1,2,3,8],[4,5,7],[6]]=>20 [8,6,5,3,2,7,1,4]=>[3,2,6,5,1,8,7,4]=>[4,7,8,1,5,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>21 [8,7,4,3,2,6,1,5]=>[4,3,8,2,1,7,6,5]=>[5,6,7,1,2,8,3,4]=>[[1,2,3,6],[4,5,7,8]]=>21 [8,7,5,3,2,6,1,4]=>[3,2,5,1,8,7,6,4]=>[4,6,7,8,1,5,2,3]=>[[1,2,3,4],[5,6,8],[7]]=>22 [8,7,5,4,2,6,1,3]=>[2,5,4,1,8,7,6,3]=>[3,6,7,8,1,4,5,2]=>[[1,2,3,4],[5,6,7],[8]]=>23 [8,7,6,3,2,5,1,4]=>[3,8,2,1,7,6,5,4]=>[4,5,6,7,1,2,8,3]=>[[1,2,3,4,7],[5,6,8]]=>23 [8,7,6,4,2,5,1,3]=>[2,4,1,8,7,6,5,3]=>[3,5,6,7,8,1,4,2]=>[[1,2,3,4,5],[6,7],[8]]=>24 [8,7,6,5,2,4,1,3]=>[8,2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2,8]=>[[1,2,3,4,5,8],[6,7]]=>25 [8,1,2,3,4,7,5,6]=>[1,8,2,3,4,5,7,6]=>[6,7,5,4,3,2,8,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>9 [8,1,2,3,6,4,5,7]=>[1,6,2,3,4,5,8,7]=>[7,8,5,4,3,2,6,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>9 [8,1,2,3,7,4,5,6]=>[1,2,8,3,4,5,7,6]=>[6,7,5,4,3,8,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>10 [8,1,2,3,6,7,4,5]=>[8,1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [8,1,2,5,3,4,6,7]=>[1,5,2,3,4,6,8,7]=>[7,8,6,4,3,2,5,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>9 [7,1,2,5,3,4,8,6]=>[1,5,2,3,4,7,8,6]=>[6,8,7,4,3,2,5,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>9 [8,1,2,6,3,4,5,7]=>[1,2,6,3,4,5,8,7]=>[7,8,5,4,3,6,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>10 [6,1,2,5,3,8,4,7]=>[6,5,1,2,3,8,4,7]=>[7,4,8,3,2,1,5,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [8,1,2,6,3,7,4,5]=>[8,1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [4,1,2,8,6,3,5,7]=>[4,1,8,2,6,3,5,7]=>[7,5,3,6,2,8,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [4,1,2,8,7,3,5,6]=>[1,8,4,2,7,3,5,6]=>[6,5,3,7,2,4,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [4,1,2,7,6,3,8,5]=>[7,4,1,2,6,8,3,5]=>[5,3,8,6,2,1,4,7]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [8,1,2,5,7,3,4,6]=>[1,8,5,2,3,4,7,6]=>[6,7,4,3,2,5,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [3,1,8,2,6,4,5,7]=>[3,1,8,2,6,4,5,7]=>[7,5,4,6,2,8,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [3,1,8,2,7,4,5,6]=>[1,8,3,2,7,4,5,6]=>[6,5,4,7,2,3,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [3,1,5,2,8,7,4,6]=>[8,3,5,1,7,2,4,6]=>[6,4,2,7,1,5,3,8]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [3,1,8,2,6,7,4,5]=>[3,6,1,8,7,2,4,5]=>[5,4,2,7,8,1,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [8,1,4,2,3,5,6,7]=>[1,4,2,3,5,6,8,7]=>[7,8,6,5,3,2,4,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>9 [7,1,4,2,3,5,8,6]=>[1,4,2,3,5,7,8,6]=>[6,8,7,5,3,2,4,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>9 [6,1,4,2,3,7,8,5]=>[1,4,2,3,6,7,8,5]=>[5,8,7,6,3,2,4,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>9 [8,1,5,2,3,4,6,7]=>[1,2,5,3,4,6,8,7]=>[7,8,6,4,3,5,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>10 [7,1,5,2,3,4,8,6]=>[1,2,5,3,4,7,8,6]=>[6,8,7,4,3,5,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>10 [8,1,7,2,3,4,5,6]=>[1,2,3,4,8,5,7,6]=>[6,7,5,8,4,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>12 [6,1,5,2,3,8,4,7]=>[6,1,5,2,3,8,4,7]=>[7,4,8,3,2,5,1,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [6,1,8,2,3,7,4,5]=>[6,1,2,8,3,4,7,5]=>[5,7,4,3,8,2,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [5,1,4,2,7,3,8,6]=>[5,4,1,2,7,8,3,6]=>[6,3,8,7,2,1,4,5]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [8,1,4,2,6,3,5,7]=>[4,1,6,2,3,5,8,7]=>[7,8,5,3,2,6,1,4]=>[[1,2],[3,6],[4,8],[5],[7]]=>11 [8,1,4,2,7,3,5,6]=>[1,8,4,2,3,5,7,6]=>[6,7,5,3,2,4,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [7,1,4,2,6,3,8,5]=>[4,1,7,2,3,6,8,5]=>[5,8,6,3,2,7,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [8,1,5,2,6,3,4,7]=>[5,1,2,6,3,4,8,7]=>[7,8,4,3,6,2,1,5]=>[[1,2],[3,5],[4,8],[6],[7]]=>12 [8,1,5,2,7,3,4,6]=>[1,5,2,8,3,4,7,6]=>[6,7,4,3,8,2,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [7,1,5,2,6,3,8,4]=>[7,1,2,5,3,6,8,4]=>[4,8,6,3,5,2,1,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [5,1,4,2,6,8,3,7]=>[1,5,8,2,4,6,3,7]=>[7,3,6,4,2,8,5,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [5,1,4,2,8,7,3,6]=>[5,8,4,1,2,7,3,6]=>[6,3,7,2,1,4,8,5]=>[[1,3,7],[2,6,8],[4],[5]]=>11 [8,1,4,2,6,7,3,5]=>[4,8,1,6,2,3,7,5]=>[5,7,3,2,6,1,8,4]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [3,1,8,5,2,4,6,7]=>[3,1,8,2,5,4,6,7]=>[7,6,4,5,2,8,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [3,1,8,6,2,4,5,7]=>[1,8,3,2,6,4,5,7]=>[7,5,4,6,2,3,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [3,1,7,6,2,4,8,5]=>[1,7,6,3,8,2,4,5]=>[5,4,2,8,3,6,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [3,1,6,5,2,8,4,7]=>[6,3,5,1,8,2,4,7]=>[7,4,2,8,1,5,3,6]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [3,1,8,6,2,7,4,5]=>[6,3,1,8,7,2,4,5]=>[5,4,2,7,8,1,3,6]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [3,1,6,5,2,7,8,4]=>[6,3,1,5,7,8,2,4]=>[4,2,8,7,5,1,3,6]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [7,1,4,5,2,3,8,6]=>[4,1,5,2,3,7,8,6]=>[6,8,7,3,2,5,1,4]=>[[1,2],[3,6],[4,8],[5],[7]]=>11 [7,1,8,6,2,3,4,5]=>[1,2,7,3,8,4,6,5]=>[5,6,4,8,3,7,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [6,1,4,5,2,8,3,7]=>[4,6,5,1,2,8,3,7]=>[7,3,8,2,1,5,6,4]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [8,1,4,6,2,7,3,5]=>[1,4,8,6,2,3,7,5]=>[5,7,3,2,6,8,4,1]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [8,1,6,5,2,7,3,4]=>[8,1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [3,1,4,7,6,2,8,5]=>[7,6,1,3,4,8,2,5]=>[5,2,8,4,3,1,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [3,1,8,7,6,2,4,5]=>[1,8,7,6,3,2,4,5]=>[5,4,2,3,6,7,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>14 [8,1,4,5,7,2,3,6]=>[8,4,1,5,2,3,7,6]=>[6,7,3,2,5,1,4,8]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [8,1,7,5,6,2,3,4]=>[1,8,2,7,5,3,6,4]=>[4,6,3,5,7,2,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [7,1,4,5,6,2,8,3]=>[1,7,4,5,2,6,8,3]=>[3,8,6,2,5,4,7,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [3,1,4,5,8,7,2,6]=>[8,7,1,3,4,5,2,6]=>[6,2,5,4,3,1,7,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>9 [2,8,1,3,6,4,5,7]=>[8,2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [2,7,1,3,6,4,8,5]=>[7,2,1,3,6,8,4,5]=>[5,4,8,6,3,1,2,7]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [2,5,1,3,8,7,4,6]=>[8,2,5,1,7,3,4,6]=>[6,4,3,7,1,5,2,8]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [2,4,1,8,3,7,5,6]=>[4,8,7,2,1,3,5,6]=>[6,5,3,1,2,7,8,4]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [2,7,1,5,3,4,8,6]=>[7,2,1,3,5,8,4,6]=>[6,4,8,5,3,1,2,7]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [2,8,1,6,3,4,5,7]=>[2,1,8,3,4,6,5,7]=>[7,5,6,4,3,8,1,2]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [2,7,1,6,3,4,8,5]=>[2,1,7,3,6,8,4,5]=>[5,4,8,6,3,7,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [2,6,1,5,3,8,4,7]=>[6,2,5,1,8,3,4,7]=>[7,4,3,8,1,5,2,6]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [2,8,1,5,3,7,4,6]=>[2,8,5,1,3,7,4,6]=>[6,4,7,3,1,5,8,2]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [2,8,1,6,3,7,4,5]=>[2,8,1,6,3,7,4,5]=>[5,4,7,3,6,1,8,2]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [2,4,1,7,6,3,8,5]=>[7,4,6,2,8,1,3,5]=>[5,3,1,8,2,6,4,7]=>[[1,4,6,8],[2,5],[3,7]]=>9 [2,8,1,5,7,3,4,6]=>[8,7,2,1,3,5,4,6]=>[6,4,5,3,1,2,7,8]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [2,8,1,7,6,3,4,5]=>[2,1,8,7,3,6,4,5]=>[5,4,6,3,7,8,1,2]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [2,4,1,8,6,7,3,5]=>[4,8,6,7,2,1,3,5]=>[5,3,1,2,7,6,8,4]=>[[1,4,5,7],[2,6],[3,8]]=>11 [2,8,1,5,6,7,3,4]=>[2,5,8,6,1,7,3,4]=>[4,3,7,1,6,8,5,2]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [6,3,1,2,4,7,8,5]=>[1,3,2,4,6,7,8,5]=>[5,8,7,6,4,2,3,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>9 [5,3,1,2,8,4,6,7]=>[3,1,5,2,8,4,6,7]=>[7,6,4,8,2,5,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>9 [5,3,1,2,7,4,8,6]=>[1,3,5,2,7,8,4,6]=>[6,4,8,7,2,5,3,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>9 [8,3,1,2,6,4,5,7]=>[3,1,6,2,4,5,8,7]=>[7,8,5,4,2,6,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>11 [8,3,1,2,7,4,5,6]=>[1,8,3,2,4,5,7,6]=>[6,7,5,4,2,3,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [5,3,1,2,6,8,4,7]=>[1,3,8,2,5,6,4,7]=>[7,4,6,5,2,8,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [5,3,1,2,8,7,4,6]=>[8,1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1,8]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [8,3,1,2,6,7,4,5]=>[3,8,1,6,2,4,7,5]=>[5,7,4,2,6,1,8,3]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [5,3,1,2,6,7,8,4]=>[1,3,2,5,6,7,8,4]=>[4,8,7,6,5,2,3,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>9 [7,4,1,2,3,5,8,6]=>[1,2,4,3,5,7,8,6]=>[6,8,7,5,3,4,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>10 [6,4,1,2,3,8,5,7]=>[1,2,4,6,3,8,5,7]=>[7,5,8,3,6,4,2,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>10 [8,4,1,2,3,7,5,6]=>[4,1,2,8,3,5,7,6]=>[6,7,5,3,8,2,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [6,4,1,2,3,7,8,5]=>[1,2,4,3,6,7,8,5]=>[5,8,7,6,3,4,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>10 [7,6,1,2,3,4,8,5]=>[1,2,3,4,7,6,8,5]=>[5,8,6,7,4,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>12 [5,8,1,2,3,7,4,6]=>[5,1,2,3,8,7,4,6]=>[6,4,7,8,3,2,1,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [8,6,1,2,3,7,4,5]=>[6,1,2,3,4,8,7,5]=>[5,7,8,4,3,2,1,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [5,4,1,2,8,3,6,7]=>[1,5,4,2,8,3,6,7]=>[7,6,3,8,2,4,5,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [5,4,1,2,7,3,8,6]=>[5,1,4,2,7,8,3,6]=>[6,3,8,7,2,4,1,5]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [8,4,1,2,6,3,5,7]=>[4,1,2,6,3,5,8,7]=>[7,8,5,3,6,2,1,4]=>[[1,2],[3,5],[4,8],[6],[7]]=>12 [8,4,1,2,7,3,5,6]=>[1,4,2,8,3,5,7,6]=>[6,7,5,3,8,2,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [5,8,1,2,7,3,4,6]=>[1,5,2,3,8,7,4,6]=>[6,4,7,8,3,2,5,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [8,7,1,2,6,3,4,5]=>[1,2,8,3,4,7,6,5]=>[5,6,7,4,3,8,2,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>16 [5,7,1,2,6,3,8,4]=>[5,1,2,7,3,6,8,4]=>[4,8,6,3,7,2,1,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [5,8,1,2,6,7,3,4]=>[5,8,1,2,6,3,7,4]=>[4,7,3,6,2,1,8,5]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [5,4,1,2,6,7,8,3]=>[1,2,5,4,6,7,8,3]=>[3,8,7,6,4,5,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>10 [4,3,1,8,2,5,6,7]=>[1,8,4,3,2,5,6,7]=>[7,6,5,2,3,4,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>9 [4,3,1,7,2,5,8,6]=>[4,1,7,3,8,2,5,6]=>[6,5,2,8,3,7,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [4,3,1,6,2,8,5,7]=>[4,3,6,1,8,2,5,7]=>[7,5,2,8,1,6,3,4]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [4,3,1,8,2,7,5,6]=>[8,4,3,1,7,2,5,6]=>[6,5,2,7,1,3,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [8,3,1,5,2,4,6,7]=>[3,1,5,2,4,6,8,7]=>[7,8,6,4,2,5,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>11 [7,3,1,5,2,4,8,6]=>[3,1,5,2,4,7,8,6]=>[6,8,7,4,2,5,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>11 [7,3,1,8,2,4,5,6]=>[1,7,3,2,4,5,8,6]=>[6,8,5,4,2,3,7,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [8,3,1,5,2,7,4,6]=>[3,5,1,8,2,4,7,6]=>[6,7,4,2,8,1,5,3]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [7,4,1,5,2,3,8,6]=>[4,1,2,5,3,7,8,6]=>[6,8,7,3,5,2,1,4]=>[[1,2],[3,5],[4,8],[6],[7]]=>12 [8,4,1,6,2,3,5,7]=>[1,4,2,6,3,5,8,7]=>[7,8,5,3,6,2,4,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>13 [7,4,1,8,2,3,5,6]=>[1,4,2,7,3,5,8,6]=>[6,8,5,3,7,2,4,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>13 [6,8,1,5,2,3,4,7]=>[1,2,8,3,6,5,4,7]=>[7,4,5,6,3,8,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>14 [8,7,1,5,2,3,4,6]=>[1,2,5,3,4,8,7,6]=>[6,7,8,4,3,5,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [8,7,1,6,2,3,4,5]=>[1,2,3,8,4,7,6,5]=>[5,6,7,4,8,3,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>17 [6,4,1,5,2,8,3,7]=>[1,6,4,5,2,8,3,7]=>[7,3,8,2,5,4,6,1]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [8,4,1,5,2,7,3,6]=>[4,5,1,2,8,3,7,6]=>[6,7,3,8,2,1,5,4]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [8,4,1,6,2,7,3,5]=>[1,4,8,2,6,3,7,5]=>[5,7,3,6,2,8,4,1]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [6,8,1,5,2,7,3,4]=>[1,2,6,8,5,3,7,4]=>[4,7,3,5,8,6,2,1]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [6,4,1,5,2,7,8,3]=>[4,1,2,6,5,7,8,3]=>[3,8,7,5,6,2,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [4,3,1,8,6,2,5,7]=>[8,4,3,1,6,2,5,7]=>[7,5,2,6,1,3,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [4,3,1,8,7,2,5,6]=>[8,4,1,7,3,2,5,6]=>[6,5,2,3,7,1,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [8,3,1,5,6,2,4,7]=>[3,5,1,6,2,4,8,7]=>[7,8,4,2,6,1,5,3]=>[[1,2],[3,5],[4,7],[6,8]]=>13 [8,3,1,5,7,2,4,6]=>[8,3,1,5,2,4,7,6]=>[6,7,4,2,5,1,3,8]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [8,3,1,7,6,2,4,5]=>[1,8,7,3,2,4,6,5]=>[5,6,4,2,3,7,8,1]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [8,4,1,5,6,2,3,7]=>[4,5,1,2,6,3,8,7]=>[7,8,3,6,2,1,5,4]=>[[1,2],[3,4],[5,7],[6,8]]=>14 [8,4,1,7,6,2,3,5]=>[1,8,4,2,7,3,6,5]=>[5,6,3,7,2,4,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [7,8,1,5,6,2,3,4]=>[1,7,5,2,3,8,6,4]=>[4,6,8,3,2,5,7,1]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [7,4,1,5,6,2,8,3]=>[4,5,1,2,7,6,8,3]=>[3,8,6,7,2,1,5,4]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [4,3,1,5,8,7,2,6]=>[8,1,4,7,3,5,2,6]=>[6,2,5,3,7,4,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [4,3,1,8,6,7,2,5]=>[8,4,3,6,1,7,2,5]=>[5,2,7,1,6,3,4,8]=>[[1,3,7,8],[2,5],[4,6]]=>13 [8,3,1,5,6,7,2,4]=>[8,3,1,5,6,2,7,4]=>[4,7,2,6,5,1,3,8]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [8,4,1,5,6,7,2,3]=>[4,5,6,1,2,8,7,3]=>[3,7,8,2,1,6,5,4]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [4,3,1,5,6,7,8,2]=>[1,4,3,5,6,7,8,2]=>[2,8,7,6,5,3,4,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>9 [2,3,8,1,6,4,5,7]=>[8,2,3,1,6,4,5,7]=>[7,5,4,6,1,3,2,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [2,3,8,1,7,4,5,6]=>[2,8,3,1,7,4,5,6]=>[6,5,4,7,1,3,8,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [2,8,4,1,3,5,6,7]=>[4,2,1,3,5,8,6,7]=>[7,6,8,5,3,1,2,4]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [2,7,4,1,3,5,8,6]=>[4,2,1,3,7,8,5,6]=>[6,5,8,7,3,1,2,4]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [2,6,4,1,3,8,5,7]=>[6,2,4,1,8,3,5,7]=>[7,5,3,8,1,4,2,6]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [2,6,4,1,3,7,8,5]=>[6,2,1,4,7,8,3,5]=>[5,3,8,7,4,1,2,6]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [2,7,5,1,3,4,8,6]=>[2,1,7,3,5,8,4,6]=>[6,4,8,5,3,7,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [2,8,7,1,3,4,5,6]=>[2,1,3,4,8,7,5,6]=>[6,5,7,8,4,3,1,2]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [2,6,5,1,3,8,4,7]=>[2,6,5,1,8,3,4,7]=>[7,4,3,8,1,5,6,2]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [2,8,5,1,3,7,4,6]=>[2,8,1,5,3,7,4,6]=>[6,4,7,3,5,1,8,2]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [2,6,8,1,3,7,4,5]=>[2,6,1,8,3,7,4,5]=>[5,4,7,3,8,1,6,2]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [2,6,5,1,3,7,8,4]=>[2,1,6,5,7,8,3,4]=>[4,3,8,7,5,6,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [2,5,4,1,8,3,6,7]=>[5,8,4,2,1,3,6,7]=>[7,6,3,1,2,4,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [2,5,4,1,7,3,8,6]=>[5,4,7,2,8,1,3,6]=>[6,3,1,8,2,7,4,5]=>[[1,4,6,8],[2,5],[3,7]]=>9 [2,8,4,1,6,3,5,7]=>[4,8,2,1,3,6,5,7]=>[7,5,6,3,1,2,8,4]=>[[1,3,7],[2,6,8],[4],[5]]=>11 [2,7,4,1,6,3,8,5]=>[2,7,4,1,6,8,3,5]=>[5,3,8,6,1,4,7,2]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [2,8,5,1,7,3,4,6]=>[8,2,1,5,3,7,4,6]=>[6,4,7,3,5,1,2,8]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [2,7,8,1,6,3,4,5]=>[7,2,1,3,8,6,4,5]=>[5,4,6,8,3,1,2,7]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [2,7,5,1,6,3,8,4]=>[2,5,1,7,6,8,3,4]=>[4,3,8,6,7,1,5,2]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [2,5,4,1,6,8,3,7]=>[5,4,8,2,6,1,3,7]=>[7,3,1,6,2,8,4,5]=>[[1,4,6,8],[2,5,7],[3]]=>9 [2,8,4,1,6,7,3,5]=>[2,4,8,6,1,7,3,5]=>[5,3,7,1,6,8,4,2]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [2,5,4,1,6,7,8,3]=>[5,4,2,6,7,8,1,3]=>[3,1,8,7,6,2,4,5]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [7,3,4,1,2,5,8,6]=>[3,1,4,2,5,7,8,6]=>[6,8,7,5,2,4,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>11 [6,3,4,1,2,8,5,7]=>[3,1,4,6,2,8,5,7]=>[7,5,8,2,6,4,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>11 [8,3,4,1,2,7,5,6]=>[3,4,1,8,2,5,7,6]=>[6,7,5,2,8,1,4,3]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [6,3,4,1,2,7,8,5]=>[3,1,4,2,6,7,8,5]=>[5,8,7,6,2,4,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>11 [7,3,5,1,2,4,8,6]=>[1,5,3,2,4,7,8,6]=>[6,8,7,4,2,3,5,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [8,3,5,1,2,7,4,6]=>[5,3,1,8,2,4,7,6]=>[6,7,4,2,8,1,3,5]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [6,3,8,1,2,7,4,5]=>[6,3,1,8,2,4,7,5]=>[5,7,4,2,8,1,3,6]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [7,5,4,1,2,3,8,6]=>[1,2,5,4,3,7,8,6]=>[6,8,7,3,4,5,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [6,7,4,1,2,3,8,5]=>[1,2,6,4,3,7,8,5]=>[5,8,7,3,4,6,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [6,8,5,1,2,3,4,7]=>[1,2,3,8,6,5,4,7]=>[7,4,5,6,8,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>15 [8,5,4,1,2,7,3,6]=>[5,1,4,2,8,3,7,6]=>[6,7,3,8,2,4,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [6,8,4,1,2,7,3,5]=>[6,1,4,2,8,3,7,5]=>[5,7,3,8,2,4,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [6,8,5,1,2,7,3,4]=>[8,1,2,6,5,3,7,4]=>[4,7,3,5,6,2,1,8]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [6,5,4,1,2,7,8,3]=>[1,2,6,5,4,7,8,3]=>[3,8,7,4,5,6,2,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>14 [5,3,4,1,8,2,6,7]=>[3,5,1,8,4,2,6,7]=>[7,6,2,4,8,1,5,3]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [5,3,4,1,7,2,8,6]=>[3,5,4,1,7,8,2,6]=>[6,2,8,7,1,4,5,3]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [8,3,5,1,6,2,4,7]=>[5,3,1,6,2,4,8,7]=>[7,8,4,2,6,1,3,5]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [7,3,8,1,6,2,4,5]=>[3,1,7,2,8,4,6,5]=>[5,6,4,8,2,7,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [7,3,5,1,6,2,8,4]=>[1,3,7,5,2,6,8,4]=>[4,8,6,2,5,7,3,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [8,5,4,1,6,2,3,7]=>[5,1,4,2,6,3,8,7]=>[7,8,3,6,2,4,1,5]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [8,5,4,1,7,2,3,6]=>[1,5,4,2,8,3,7,6]=>[6,7,3,8,2,4,5,1]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [7,8,4,1,6,2,3,5]=>[4,1,2,7,3,8,6,5]=>[5,6,8,3,7,2,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [7,8,5,1,6,2,3,4]=>[1,7,2,5,3,8,6,4]=>[4,6,8,3,5,2,7,1]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [7,5,4,1,6,2,8,3]=>[5,1,4,2,7,6,8,3]=>[3,8,6,7,2,4,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [5,3,4,1,8,7,2,6]=>[3,5,8,4,1,7,2,6]=>[6,2,7,1,4,8,5,3]=>[[1,3,6],[2,5,7],[4,8]]=>13 [8,3,4,1,6,7,2,5]=>[3,4,8,1,6,2,7,5]=>[5,7,2,6,1,8,4,3]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [8,5,4,1,6,7,2,3]=>[5,1,4,6,2,8,7,3]=>[3,7,8,2,6,4,1,5]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [5,3,4,1,6,7,8,2]=>[3,1,5,4,6,7,8,2]=>[2,8,7,6,4,5,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [2,3,6,5,1,8,4,7]=>[6,5,8,2,3,1,4,7]=>[7,4,1,3,2,8,5,6]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [2,3,6,5,1,7,8,4]=>[6,5,2,3,7,8,1,4]=>[4,1,8,7,3,2,5,6]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [2,8,4,5,1,3,6,7]=>[4,5,2,1,3,8,6,7]=>[7,6,8,3,1,2,5,4]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [2,7,4,6,1,3,8,5]=>[7,6,2,1,4,8,3,5]=>[5,3,8,4,1,2,6,7]=>[[1,3,7,8],[2,4],[5,6]]=>12 [2,8,6,5,1,3,4,7]=>[2,1,8,6,3,5,4,7]=>[7,4,5,3,6,8,1,2]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [2,7,8,5,1,3,4,6]=>[7,2,1,3,8,5,4,6]=>[6,4,5,8,3,1,2,7]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [2,7,6,5,1,3,8,4]=>[2,1,7,6,5,8,3,4]=>[4,3,8,5,6,7,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>14 [2,6,4,5,1,8,3,7]=>[4,6,5,8,2,1,3,7]=>[7,3,1,2,8,5,6,4]=>[[1,4,5,7],[2,6],[3,8]]=>11 [2,8,4,5,1,7,3,6]=>[2,4,8,5,1,7,3,6]=>[6,3,7,1,5,8,4,2]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [2,6,4,5,1,7,8,3]=>[4,6,5,2,7,8,1,3]=>[3,1,8,7,2,5,6,4]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [7,3,4,6,1,2,8,5]=>[7,3,1,4,2,6,8,5]=>[5,8,6,2,4,1,3,7]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [8,3,6,5,1,2,4,7]=>[1,6,5,3,2,4,8,7]=>[7,8,4,2,3,5,6,1]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [6,3,4,5,1,8,2,7]=>[3,4,6,5,1,8,2,7]=>[7,2,8,1,5,6,4,3]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [8,3,4,5,1,7,2,6]=>[3,4,5,1,8,2,7,6]=>[6,7,2,8,1,5,4,3]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [8,3,4,6,1,7,2,5]=>[3,1,8,4,6,2,7,5]=>[5,7,2,6,4,8,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [6,3,4,5,1,7,8,2]=>[3,4,1,6,5,7,8,2]=>[2,8,7,5,6,1,4,3]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [2,3,4,7,6,1,8,5]=>[7,6,2,3,4,8,1,5]=>[5,1,8,4,3,2,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [2,3,8,5,7,1,4,6]=>[8,7,2,5,3,1,4,6]=>[6,4,1,3,5,2,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>12 [2,3,8,7,6,1,4,5]=>[2,8,7,6,3,1,4,5]=>[5,4,1,3,6,7,8,2]=>[[1,4,5,6,7],[2],[3],[8]]=>14 [2,3,7,5,6,1,8,4]=>[5,7,6,2,3,8,1,4]=>[4,1,8,3,2,6,7,5]=>[[1,3,6,7],[2,4],[5,8]]=>11 [2,8,4,5,6,1,3,7]=>[2,4,8,5,1,6,3,7]=>[7,3,6,1,5,8,4,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>13 [2,8,4,7,6,1,3,5]=>[8,7,6,2,1,4,3,5]=>[5,3,4,1,2,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>16 [2,8,7,5,6,1,3,4]=>[5,2,1,8,7,6,3,4]=>[4,3,6,7,8,1,2,5]=>[[1,3,4,5],[2,7,8],[6]]=>18 [2,7,4,5,6,1,8,3]=>[4,5,7,6,2,8,1,3]=>[3,1,8,2,6,7,5,4]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [2,3,4,8,6,7,1,5]=>[6,8,7,2,3,4,1,5]=>[5,1,4,3,2,7,8,6]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>8 [8,1,2,3,4,5,6,9,7]=>[1,2,3,4,5,6,8,9,7]=>[7,9,8,6,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>8 [7,1,2,3,4,5,8,9,6]=>[1,2,3,4,5,7,8,9,6]=>[6,9,8,7,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>8 [6,1,2,3,4,7,8,9,5]=>[1,2,3,4,6,7,8,9,5]=>[5,9,8,7,6,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>8 [5,1,2,3,6,7,8,9,4]=>[1,2,3,5,6,7,8,9,4]=>[4,9,8,7,6,5,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>8 [4,1,2,5,6,7,8,9,3]=>[1,2,4,5,6,7,8,9,3]=>[3,9,8,7,6,5,4,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>8 [3,1,4,5,6,7,8,9,2]=>[1,3,4,5,6,7,8,9,2]=>[2,9,8,7,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>8 [9,7,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,9,8]=>[8,9,6,7,5,4,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8],[9]]=>14 [8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,8,6,9,7]=>[7,9,6,8,5,4,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8],[9]]=>14 [2,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>8 []=>[]=>[]=>[]=>0 [3,5,2,6,1,4,8,7]=>[5,3,6,2,8,1,4,7]=>[7,4,1,8,2,6,3,5]=>[[1,4,6,8],[2,5],[3,7]]=>9 [3,5,2,6,4,1,8,7]=>[5,3,6,2,4,8,1,7]=>[7,1,8,4,2,6,3,5]=>[[1,3,6,8],[2,4],[5,7]]=>10 [3,5,2,7,4,8,1,6]=>[5,7,3,8,2,4,1,6]=>[6,1,4,2,8,3,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>12 [3,5,2,7,4,8,6,1]=>[5,7,3,8,2,4,6,1]=>[1,6,4,2,8,3,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>13 [4,5,7,2,3,8,6,1]=>[7,4,2,5,8,3,6,1]=>[1,6,3,8,5,2,4,7]=>[[1,2,4,8],[3,5],[6,7]]=>15 [4,5,7,2,3,8,1,6]=>[7,4,2,5,8,3,1,6]=>[6,1,3,8,5,2,4,7]=>[[1,3,4,8],[2,5],[6,7]]=>14 [4,5,6,2,3,1,8,7]=>[4,5,2,6,3,8,1,7]=>[7,1,8,3,6,2,5,4]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [4,5,6,2,1,3,8,7]=>[4,5,2,1,6,8,3,7]=>[7,3,8,6,1,2,5,4]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [3,5,1,6,4,2,8,7]=>[3,5,6,1,4,8,2,7]=>[7,2,8,4,1,6,5,3]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [4,5,6,1,3,2,8,7]=>[4,1,5,6,3,8,2,7]=>[7,2,8,3,6,5,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [4,5,6,3,1,2,8,7]=>[4,5,1,6,3,8,2,7]=>[7,2,8,3,6,1,5,4]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [4,5,7,3,2,8,1,6]=>[7,4,5,3,8,2,1,6]=>[6,1,2,8,3,5,4,7]=>[[1,3,4,6,8],[2,5],[7]]=>15 [4,5,7,3,2,8,6,1]=>[7,4,5,3,8,2,6,1]=>[1,6,2,8,3,5,4,7]=>[[1,2,4,6,8],[3,5],[7]]=>16 [4,6,7,3,8,2,5,1]=>[6,7,4,8,3,2,5,1]=>[1,5,2,3,8,4,7,6]=>[[1,2,4,5,7],[3,6],[8]]=>18 [4,6,7,3,8,2,1,5]=>[6,7,4,8,3,2,1,5]=>[5,1,2,3,8,4,7,6]=>[[1,3,4,5,7],[2,6],[8]]=>17 [4,6,7,3,8,1,2,5]=>[6,7,4,1,8,3,2,5]=>[5,2,3,8,1,4,7,6]=>[[1,3,4,7],[2,6],[5,8]]=>16 [4,5,7,3,1,8,2,6]=>[7,4,5,3,1,8,2,6]=>[6,2,8,1,3,5,4,7]=>[[1,3,6,8],[2,5],[4,7]]=>14 [4,5,7,1,3,8,2,6]=>[4,7,1,5,8,3,2,6]=>[6,2,3,8,5,1,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>13 [3,5,1,7,4,8,2,6]=>[5,3,7,8,1,4,2,6]=>[6,2,4,1,8,7,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>11 [2,1,5,7,4,8,3,6]=>[7,5,8,2,4,1,3,6]=>[6,3,1,4,2,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>9 [2,1,5,7,4,8,6,3]=>[7,5,8,2,4,6,1,3]=>[3,1,6,4,2,8,5,7]=>[[1,3,6,8],[2,4,7],[5]]=>10 [3,5,1,7,4,8,6,2]=>[7,3,5,8,1,4,6,2]=>[2,6,4,1,8,5,3,7]=>[[1,2,5,8],[3,6],[4,7]]=>12 [4,5,7,1,3,8,6,2]=>[4,5,1,7,8,3,6,2]=>[2,6,3,8,7,1,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [4,5,7,3,1,8,6,2]=>[7,4,1,5,8,3,6,2]=>[2,6,3,8,5,1,4,7]=>[[1,2,4,8],[3,5],[6,7]]=>15 [4,6,7,3,8,1,5,2]=>[6,7,4,3,8,1,5,2]=>[2,5,1,8,3,4,7,6]=>[[1,2,4,7],[3,5,6],[8]]=>17 [4,6,7,3,8,5,1,2]=>[6,7,4,8,3,1,5,2]=>[2,5,1,3,8,4,7,6]=>[[1,2,5,7],[3,4,6],[8]]=>18 [4,6,7,3,8,5,2,1]=>[6,7,4,8,3,5,2,1]=>[1,2,5,3,8,4,7,6]=>[[1,2,3,5,7],[4,6],[8]]=>19 [5,6,7,8,3,1,4,2]=>[5,6,1,7,3,8,4,2]=>[2,4,8,3,7,1,6,5]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [5,6,7,8,1,3,4,2]=>[5,1,6,7,3,8,4,2]=>[2,4,8,3,7,6,1,5]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [4,6,7,1,8,3,5,2]=>[6,4,7,1,8,3,5,2]=>[2,5,3,8,1,7,4,6]=>[[1,2,4,8],[3,6],[5,7]]=>16 [3,6,1,7,8,4,5,2]=>[6,7,8,3,1,4,5,2]=>[2,5,4,1,3,8,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>14 [2,1,6,7,8,4,5,3]=>[6,7,2,8,4,5,1,3]=>[3,1,5,4,8,2,7,6]=>[[1,3,5],[2,4,7],[6,8]]=>12 [2,1,6,7,8,4,3,5]=>[6,7,2,8,4,1,3,5]=>[5,3,1,4,8,2,7,6]=>[[1,4,5],[2,6,7],[3,8]]=>11 [3,6,1,7,8,4,2,5]=>[3,6,1,7,8,4,2,5]=>[5,2,4,8,7,1,6,3]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [4,6,7,1,8,3,2,5]=>[6,1,7,4,8,3,2,5]=>[5,2,3,8,4,7,1,6]=>[[1,3,4,6],[2,5],[7,8]]=>15 [5,6,7,8,1,3,2,4]=>[5,1,6,7,3,2,8,4]=>[4,8,2,3,7,6,1,5]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [4,5,7,2,1,8,3,6]=>[7,4,2,5,1,8,3,6]=>[6,3,8,1,5,2,4,7]=>[[1,3,7,8],[2,5],[4,6]]=>13 [4,6,7,2,8,1,3,5]=>[6,7,4,2,1,8,3,5]=>[5,3,8,1,2,4,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>15 [4,6,7,2,8,3,1,5]=>[6,7,4,2,8,3,1,5]=>[5,1,3,8,2,4,7,6]=>[[1,3,4,7],[2,6],[5,8]]=>16 [4,6,7,2,8,3,5,1]=>[6,7,4,2,8,3,5,1]=>[1,5,3,8,2,4,7,6]=>[[1,2,4,7],[3,6],[5,8]]=>17 [3,6,2,7,8,4,5,1]=>[3,6,7,2,8,4,5,1]=>[1,5,4,8,2,7,6,3]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [3,6,2,7,8,4,1,5]=>[3,6,7,2,8,4,1,5]=>[5,1,4,8,2,7,6,3]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [3,6,2,7,8,1,4,5]=>[3,6,7,2,1,8,4,5]=>[5,4,8,1,2,7,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [3,5,2,7,1,8,4,6]=>[5,7,3,8,2,1,4,6]=>[6,4,1,2,8,3,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>11 [3,4,2,1,7,8,5,6]=>[3,4,7,8,2,1,5,6]=>[6,5,1,2,8,7,4,3]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [3,4,1,2,7,8,6,5]=>[3,7,8,1,4,6,2,5]=>[5,2,6,4,1,8,7,3]=>[[1,3,6],[2,4,7],[5,8]]=>9 [3,5,2,7,1,8,6,4]=>[5,7,3,8,2,6,1,4]=>[4,1,6,2,8,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>12 [3,6,2,7,8,1,5,4]=>[3,6,7,2,8,5,1,4]=>[4,1,5,8,2,7,6,3]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [3,6,2,7,8,5,1,4]=>[3,6,7,8,5,2,1,4]=>[4,1,2,5,8,7,6,3]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [3,6,2,7,8,5,4,1]=>[3,6,7,8,5,2,4,1]=>[1,4,2,5,8,7,6,3]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [4,6,7,2,8,5,3,1]=>[6,4,7,8,2,5,3,1]=>[1,3,5,2,8,7,4,6]=>[[1,2,3,5],[4,6,8],[7]]=>18 [4,6,7,2,8,5,1,3]=>[6,4,7,8,2,1,5,3]=>[3,5,1,2,8,7,4,6]=>[[1,2,5,8],[3,4,6],[7]]=>17 [4,6,7,2,8,1,5,3]=>[6,4,7,2,8,1,5,3]=>[3,5,1,8,2,7,4,6]=>[[1,2,4,8],[3,5,6],[7]]=>16 [4,5,7,2,1,8,6,3]=>[4,5,2,7,8,1,6,3]=>[3,6,1,8,7,2,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [4,5,7,1,2,8,6,3]=>[4,1,5,7,8,2,6,3]=>[3,6,2,8,7,5,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [3,5,1,7,2,8,6,4]=>[5,3,7,8,1,6,2,4]=>[4,2,6,1,8,7,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>11 [2,1,5,7,3,8,6,4]=>[7,5,8,2,6,1,3,4]=>[4,3,1,6,2,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>9 [2,1,6,7,8,3,5,4]=>[6,7,2,8,5,1,3,4]=>[4,3,1,5,8,2,7,6]=>[[1,4,5],[2,6,7],[3,8]]=>11 [3,6,1,7,8,2,5,4]=>[3,6,1,7,8,5,2,4]=>[4,2,5,8,7,1,6,3]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [4,6,7,1,8,2,5,3]=>[6,4,1,7,8,2,5,3]=>[3,5,2,8,7,1,4,6]=>[[1,2,4],[3,5,8],[6,7]]=>15 [5,6,7,8,1,2,4,3]=>[5,1,6,2,7,8,4,3]=>[3,4,8,7,2,6,1,5]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [5,6,7,8,2,1,4,3]=>[5,6,2,1,7,8,4,3]=>[3,4,8,7,1,2,6,5]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [5,6,7,8,2,4,1,3]=>[5,6,2,7,1,8,4,3]=>[3,4,8,1,7,2,6,5]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [5,6,7,8,2,4,3,1]=>[5,6,2,7,8,4,3,1]=>[1,3,4,8,7,2,6,5]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [5,6,7,8,1,4,2,3]=>[5,1,6,7,2,8,4,3]=>[3,4,8,2,7,6,1,5]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [4,6,7,1,8,5,2,3]=>[6,4,7,1,8,2,5,3]=>[3,5,2,8,1,7,4,6]=>[[1,2,4],[3,6,8],[5,7]]=>16 [3,6,1,7,8,5,2,4]=>[3,6,7,1,8,5,2,4]=>[4,2,5,8,1,7,6,3]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [2,1,6,7,8,5,3,4]=>[6,7,8,5,2,1,3,4]=>[4,3,1,2,5,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>12 [3,6,1,7,8,5,4,2]=>[6,7,8,3,5,1,4,2]=>[2,4,1,5,3,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>15 [4,6,7,1,8,5,3,2]=>[4,6,7,8,1,5,3,2]=>[2,3,5,1,8,7,6,4]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [5,6,7,8,1,4,3,2]=>[5,1,6,7,8,4,3,2]=>[2,3,4,8,7,6,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [5,6,7,8,4,1,3,2]=>[5,6,1,7,8,4,3,2]=>[2,3,4,8,7,1,6,5]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [6,7,8,9,10,5,4,3,2,1]=>[6,7,8,9,10,5,4,3,2,1]=>[1,2,3,4,5,10,9,8,7,6]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>35 [6,5,8,7,3,4,1,2]=>[6,8,5,3,1,7,4,2]=>[2,4,7,1,3,5,8,6]=>[[1,2,3,7],[4,5,6,8]]=>22 [3,6,7,4,5,8,1,2]=>[6,3,7,4,5,1,8,2]=>[2,8,1,5,4,7,3,6]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [2,6,7,4,5,1,8,3]=>[6,4,7,5,2,8,1,3]=>[3,1,8,2,5,7,4,6]=>[[1,3,5,6],[2,4,8],[7]]=>14 [1,6,7,4,5,2,3,8]=>[6,4,1,7,5,2,3,8]=>[8,3,2,5,7,1,4,6]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [1,5,4,7,6,2,3,8]=>[5,7,4,1,6,2,3,8]=>[8,3,2,6,1,4,7,5]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [2,5,4,7,6,1,8,3]=>[5,7,4,6,2,8,1,3]=>[3,1,8,2,6,4,7,5]=>[[1,3,5,7],[2,4,8],[6]]=>12 [3,5,4,7,6,8,1,2]=>[5,7,3,4,6,1,8,2]=>[2,8,1,6,4,3,7,5]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [4,5,3,7,8,6,1,2]=>[4,5,7,8,3,1,6,2]=>[2,6,1,3,8,7,5,4]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [5,4,3,8,7,6,1,2]=>[5,8,4,7,3,1,6,2]=>[2,6,1,3,7,4,8,5]=>[[1,2,5,7],[3,4,6,8]]=>18 [6,4,8,3,7,5,1,2]=>[4,6,8,3,1,7,5,2]=>[2,5,7,1,3,8,6,4]=>[[1,2,3,6],[4,5,7],[8]]=>20 [6,3,8,4,5,7,1,2]=>[3,6,4,8,5,1,7,2]=>[2,7,1,5,8,4,6,3]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [5,3,4,8,6,7,1,2]=>[5,3,8,4,6,1,7,2]=>[2,7,1,6,4,8,3,5]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [4,3,5,6,8,7,1,2]=>[4,8,3,5,6,1,7,2]=>[2,7,1,6,5,3,8,4]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [3,2,5,6,1,8,7,4]=>[3,5,6,8,2,7,1,4]=>[4,1,7,2,8,6,5,3]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [4,2,5,6,8,1,7,3]=>[2,4,5,6,8,1,7,3]=>[3,7,1,8,6,5,4,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [5,2,4,8,6,1,7,3]=>[8,5,2,4,1,6,7,3]=>[3,7,6,1,4,2,5,8]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [6,2,8,4,5,1,7,3]=>[2,8,6,4,1,5,7,3]=>[3,7,5,1,4,6,8,2]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [7,8,2,4,5,1,6,3]=>[2,7,4,1,5,8,6,3]=>[3,6,8,5,1,4,7,2]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [7,8,1,4,5,2,3,6]=>[7,1,4,2,5,3,8,6]=>[6,8,3,5,2,4,1,7]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [6,1,8,4,5,2,3,7]=>[6,4,1,2,8,5,3,7]=>[7,3,5,8,2,1,4,6]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [5,1,4,8,6,2,3,7]=>[8,5,4,1,2,6,3,7]=>[7,3,6,2,1,4,5,8]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [4,1,3,2,8,6,5,7]=>[8,4,1,3,6,2,5,7]=>[7,5,2,6,3,1,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [5,1,3,8,2,6,4,7]=>[5,3,8,1,2,6,4,7]=>[7,4,6,2,1,8,3,5]=>[[1,3,6],[2,7,8],[4],[5]]=>10 [6,1,8,3,2,5,4,7]=>[3,1,2,6,8,5,4,7]=>[7,4,5,8,6,2,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [7,8,1,3,2,5,4,6]=>[3,7,1,2,5,4,8,6]=>[6,8,4,5,2,1,7,3]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [7,8,2,3,1,5,6,4]=>[2,3,7,1,5,8,6,4]=>[4,6,8,5,1,7,3,2]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [6,2,8,3,1,5,7,4]=>[2,6,8,3,1,5,7,4]=>[4,7,5,1,3,8,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [5,2,3,8,1,6,7,4]=>[8,2,3,5,1,6,7,4]=>[4,7,6,1,5,3,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [6,3,8,2,1,7,5,4]=>[6,3,8,2,7,1,5,4]=>[4,5,1,7,2,8,3,6]=>[[1,2,4,6],[3,5,7,8]]=>16 [7,8,3,2,1,6,5,4]=>[3,2,7,8,1,6,5,4]=>[4,5,6,1,8,7,2,3]=>[[1,2,3,5],[4,6,8],[7]]=>18 [7,8,4,2,6,1,5,3]=>[2,4,1,7,8,6,5,3]=>[3,5,6,8,7,1,4,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [5,4,2,8,7,1,6,3]=>[5,2,8,4,7,1,6,3]=>[3,6,1,7,4,8,2,5]=>[[1,2,4,6],[3,5,8],[7]]=>16 [4,5,2,7,8,1,6,3]=>[4,7,2,5,8,1,6,3]=>[3,6,1,8,5,2,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>14 [2,5,3,7,1,6,8,4]=>[5,2,7,3,6,8,1,4]=>[4,1,8,6,3,7,2,5]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [1,5,3,7,2,6,4,8]=>[7,5,1,3,6,2,4,8]=>[8,4,2,6,3,1,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [1,6,7,3,2,5,4,8]=>[6,1,3,7,5,2,4,8]=>[8,4,2,5,7,3,1,6]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [2,6,7,3,1,5,8,4]=>[2,6,3,7,5,8,1,4]=>[4,1,8,5,7,3,6,2]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [3,6,7,2,1,8,5,4]=>[6,3,2,7,8,5,1,4]=>[4,1,5,8,7,2,3,6]=>[[1,3,4,8],[2,5,7],[6]]=>14 [7,8,5,6,2,1,4,3]=>[2,1,7,5,8,6,4,3]=>[3,4,6,8,5,7,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>22 [6,5,8,7,1,2,3,4]=>[1,6,2,8,5,3,7,4]=>[4,7,3,5,8,2,6,1]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [5,4,1,8,7,2,3,6]=>[5,1,8,4,2,7,3,6]=>[6,3,7,2,4,8,1,5]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [6,4,8,1,7,2,3,5]=>[4,1,6,2,8,3,7,5]=>[5,7,3,8,2,6,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [7,8,3,1,2,6,4,5]=>[1,3,7,2,4,8,6,5]=>[5,6,8,4,2,7,3,1]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [5,3,1,8,2,7,4,6]=>[3,5,1,8,2,7,4,6]=>[6,4,7,2,8,1,5,3]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [4,3,1,2,8,7,5,6]=>[4,8,3,1,7,2,5,6]=>[6,5,2,7,1,3,8,4]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [4,2,1,3,8,5,7,6]=>[2,4,8,1,7,3,5,6]=>[6,5,3,7,1,8,4,2]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [5,2,1,8,3,4,7,6]=>[5,2,8,1,3,7,4,6]=>[6,4,7,3,1,8,2,5]=>[[1,3,6],[2,7,8],[4],[5]]=>10 [6,2,8,1,3,4,7,5]=>[2,1,6,8,3,4,7,5]=>[5,7,4,3,8,6,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [7,8,2,1,3,4,6,5]=>[2,1,3,4,7,8,6,5]=>[5,6,8,7,4,3,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [4,3,1,2,6,5,8,7]=>[1,4,3,6,8,2,5,7]=>[7,5,2,8,6,3,4,1]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [5,3,1,6,2,4,8,7]=>[1,3,5,2,6,8,4,7]=>[7,4,8,6,2,5,3,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>9 [6,3,1,5,2,4,8,7]=>[3,1,6,2,5,8,4,7]=>[7,4,8,5,2,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [7,3,1,5,2,8,4,6]=>[3,1,5,7,2,4,8,6]=>[6,8,4,2,7,5,1,3]=>[[1,2],[3,5],[4,6],[7,8]]=>12 [8,4,5,1,2,7,3,6]=>[1,4,5,2,8,3,7,6]=>[6,7,3,8,2,5,4,1]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [7,4,5,1,2,8,3,6]=>[1,4,2,5,7,3,8,6]=>[6,8,3,7,5,2,4,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>14 [6,4,5,1,2,3,8,7]=>[1,4,2,6,5,8,3,7]=>[7,3,8,5,6,2,4,1]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [5,4,6,1,2,3,8,7]=>[1,5,4,2,6,8,3,7]=>[7,3,8,6,2,4,5,1]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [2,1,6,5,3,4,8,7]=>[6,5,2,8,1,3,4,7]=>[7,4,3,1,8,2,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [3,6,1,5,2,4,8,7]=>[3,1,6,5,8,2,4,7]=>[7,4,2,8,5,6,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [4,6,5,1,2,3,8,7]=>[1,6,4,2,5,8,3,7]=>[7,3,8,5,2,4,6,1]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [5,6,4,1,2,3,8,7]=>[1,5,2,6,4,8,3,7]=>[7,3,8,4,6,2,5,1]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [6,5,4,1,2,3,8,7]=>[1,2,6,5,4,8,3,7]=>[7,3,8,4,5,6,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [7,5,4,1,2,8,3,6]=>[1,2,5,4,7,3,8,6]=>[6,8,3,7,4,5,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [8,6,4,1,7,2,3,5]=>[4,1,2,6,3,8,7,5]=>[5,7,8,3,6,2,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [7,6,4,1,8,2,3,5]=>[4,1,2,7,6,3,8,5]=>[5,8,3,6,7,2,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [6,7,4,1,8,2,3,5]=>[6,1,4,2,7,3,8,5]=>[5,8,3,7,2,4,1,6]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [5,7,4,1,2,8,3,6]=>[7,1,5,4,2,8,3,6]=>[6,3,8,2,4,5,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [4,7,5,1,2,8,3,6]=>[1,4,7,5,2,8,3,6]=>[6,3,8,2,5,7,4,1]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [3,7,1,5,2,8,4,6]=>[7,1,3,5,2,8,4,6]=>[6,4,8,2,5,3,1,7]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [2,1,7,5,3,8,4,6]=>[7,2,5,1,8,3,4,6]=>[6,4,3,8,1,5,2,7]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [2,1,8,5,3,7,4,6]=>[2,8,5,1,7,3,4,6]=>[6,4,3,7,1,5,8,2]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [3,8,1,5,2,7,4,6]=>[3,8,1,5,2,7,4,6]=>[6,4,7,2,5,1,8,3]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [4,8,5,1,2,7,3,6]=>[1,4,5,2,8,7,3,6]=>[6,3,7,8,2,5,4,1]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [5,8,4,1,2,7,3,6]=>[5,1,4,2,8,7,3,6]=>[6,3,7,8,2,4,1,5]=>[[1,3,4],[2,6,8],[5],[7]]=>15 [6,8,4,1,7,2,3,5]=>[1,6,4,2,8,3,7,5]=>[5,7,3,8,2,4,6,1]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [8,7,4,1,6,2,3,5]=>[1,4,2,8,3,7,6,5]=>[5,6,7,3,8,2,4,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [5,8,6,7,1,2,3,4]=>[1,5,2,8,6,3,7,4]=>[4,7,3,6,8,2,5,1]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [4,8,6,1,7,2,3,5]=>[1,6,4,2,8,7,3,5]=>[5,3,7,8,2,4,6,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [3,8,1,6,7,2,4,5]=>[3,1,8,6,2,7,4,5]=>[5,4,7,2,6,8,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [2,1,8,6,7,3,4,5]=>[6,2,1,8,7,3,4,5]=>[5,4,3,7,8,1,2,6]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [2,1,7,6,8,3,4,5]=>[7,6,2,1,8,3,4,5]=>[5,4,3,8,1,2,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [3,7,1,6,8,2,4,5]=>[7,3,1,6,2,8,4,5]=>[5,4,8,2,6,1,3,7]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [4,7,6,1,8,2,3,5]=>[1,7,6,4,2,8,3,5]=>[5,3,8,2,4,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [5,7,6,8,1,2,3,4]=>[1,7,5,2,6,3,8,4]=>[4,8,3,6,2,5,7,1]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [5,4,7,1,2,8,3,6]=>[1,5,7,4,2,8,3,6]=>[6,3,8,2,4,7,5,1]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [6,4,7,1,8,2,3,5]=>[1,4,6,2,7,3,8,5]=>[5,8,3,7,2,6,4,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>15 [7,4,6,1,8,2,3,5]=>[4,1,7,2,6,3,8,5]=>[5,8,3,6,2,7,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [8,4,6,1,7,2,3,5]=>[4,1,2,8,6,3,7,5]=>[5,7,3,6,8,2,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [8,3,1,6,7,2,4,5]=>[3,1,8,6,2,4,7,5]=>[5,7,4,2,6,8,1,3]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [7,3,1,6,8,2,4,5]=>[7,3,1,6,2,4,8,5]=>[5,8,4,2,6,1,3,7]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [6,3,1,7,8,2,4,5]=>[3,6,1,7,2,4,8,5]=>[5,8,4,2,7,1,6,3]=>[[1,2],[3,5],[4,7],[6,8]]=>13 [5,3,1,7,2,8,4,6]=>[3,1,5,7,2,8,4,6]=>[6,4,8,2,7,5,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>11 [4,3,1,2,7,8,5,6]=>[4,3,7,1,8,2,5,6]=>[6,5,2,8,1,7,3,4]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [2,1,4,3,8,7,5,6]=>[8,7,2,4,1,3,5,6]=>[6,5,3,1,4,2,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [3,4,1,2,8,7,5,6]=>[8,3,4,1,7,2,5,6]=>[6,5,2,7,1,4,3,8]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [6,3,1,8,7,2,4,5]=>[8,3,1,6,2,4,7,5]=>[5,7,4,2,6,1,3,8]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [7,3,1,8,6,2,4,5]=>[7,1,8,3,2,4,6,5]=>[5,6,4,2,3,8,1,7]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [8,4,7,1,6,2,3,5]=>[1,4,2,8,7,3,6,5]=>[5,6,3,7,8,2,4,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [7,4,8,1,6,2,3,5]=>[1,7,4,2,8,3,6,5]=>[5,6,3,8,2,4,7,1]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [5,4,8,1,2,7,3,6]=>[8,1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [4,5,8,1,2,7,3,6]=>[1,4,8,5,2,7,3,6]=>[6,3,7,2,5,8,4,1]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [3,5,1,8,2,7,4,6]=>[8,5,3,1,7,2,4,6]=>[6,4,2,7,1,3,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [2,1,5,8,3,7,4,6]=>[5,8,7,2,1,3,4,6]=>[6,4,3,1,2,7,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [2,1,6,8,7,3,4,5]=>[8,6,2,1,7,3,4,5]=>[5,4,3,7,1,2,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [3,6,1,8,7,2,4,5]=>[8,3,1,6,2,7,4,5]=>[5,4,7,2,6,1,3,8]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [4,6,8,1,7,2,3,5]=>[1,8,6,4,2,7,3,5]=>[5,3,7,2,4,6,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [5,6,8,7,1,2,3,4]=>[1,8,5,2,6,3,7,4]=>[4,7,3,6,2,5,8,1]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [7,5,8,6,1,2,3,4]=>[1,5,2,7,3,8,6,4]=>[4,6,8,3,7,2,5,1]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [8,5,7,6,1,2,3,4]=>[1,2,8,5,3,7,6,4]=>[4,6,7,3,5,8,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [5,7,8,6,1,2,3,4]=>[1,7,2,8,5,3,6,4]=>[4,6,3,5,8,2,7,1]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [4,7,8,1,6,2,3,5]=>[1,7,4,2,8,6,3,5]=>[5,3,6,8,2,4,7,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [3,7,1,8,6,2,4,5]=>[7,1,8,3,2,6,4,5]=>[5,4,6,2,3,8,1,7]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [2,1,7,8,6,3,4,5]=>[7,2,1,8,6,3,4,5]=>[5,4,3,6,8,1,2,7]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [2,1,8,7,6,3,4,5]=>[2,1,8,7,6,3,4,5]=>[5,4,3,6,7,8,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [3,8,1,7,6,2,4,5]=>[1,8,7,3,2,6,4,5]=>[5,4,6,2,3,7,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [4,8,7,1,6,2,3,5]=>[1,4,2,8,7,6,3,5]=>[5,3,6,7,8,2,4,1]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [5,8,7,6,1,2,3,4]=>[1,2,8,7,5,3,6,4]=>[4,6,3,5,7,8,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [6,8,7,5,1,2,3,4]=>[1,2,8,6,3,7,5,4]=>[4,5,7,3,6,8,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [6,4,7,3,8,5,1,2]=>[4,6,3,7,1,8,5,2]=>[2,5,8,1,7,3,6,4]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [6,4,7,3,5,8,1,2]=>[4,6,3,7,5,1,8,2]=>[2,8,1,5,7,3,6,4]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [6,4,7,2,5,1,8,3]=>[4,2,6,1,7,5,8,3]=>[3,8,5,7,1,6,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [5,4,2,7,6,1,8,3]=>[2,5,7,4,1,6,8,3]=>[3,8,6,1,4,7,5,2]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [6,4,8,3,5,7,1,2]=>[6,4,3,8,5,1,7,2]=>[2,7,1,5,8,3,4,6]=>[[1,2,5,8],[3,4,7],[6]]=>19 [5,4,3,8,6,7,1,2]=>[5,8,4,3,6,1,7,2]=>[2,7,1,6,3,4,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>17 [5,4,2,6,7,1,8,3]=>[2,5,4,6,1,7,8,3]=>[3,8,7,1,6,4,5,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [5,4,2,6,7,1,3,8]=>[2,5,4,6,1,7,3,8]=>[8,3,7,1,6,4,5,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [5,3,2,6,1,7,4,8]=>[3,2,5,1,6,7,4,8]=>[8,4,7,6,1,5,2,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [5,3,2,6,1,7,8,4]=>[3,2,5,1,6,7,8,4]=>[4,8,7,6,1,5,2,3]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [5,4,2,6,8,1,7,3]=>[2,5,4,6,8,1,7,3]=>[3,7,1,8,6,4,5,2]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [5,4,2,8,6,1,7,3]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [6,4,8,2,5,1,7,3]=>[4,6,2,1,8,5,7,3]=>[3,7,5,8,1,2,6,4]=>[[1,2,4],[3,6,7],[5,8]]=>17 [7,8,4,2,5,1,6,3]=>[2,4,1,7,5,8,6,3]=>[3,6,8,5,7,1,4,2]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [7,8,4,2,5,1,3,6]=>[2,4,1,7,5,3,8,6]=>[6,8,3,5,7,1,4,2]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [5,4,2,8,6,1,3,7]=>[5,4,8,2,1,6,3,7]=>[7,3,6,1,2,8,4,5]=>[[1,3,6,8],[2,5,7],[4]]=>14 [5,3,2,6,1,8,4,7]=>[3,2,5,6,1,8,4,7]=>[7,4,8,1,6,5,2,3]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [4,3,2,1,8,6,5,7]=>[4,8,3,2,6,1,5,7]=>[7,5,1,6,2,3,8,4]=>[[1,4,6,7],[2,5,8],[3]]=>10 [6,3,8,2,1,5,4,7]=>[3,2,1,6,8,5,4,7]=>[7,4,5,8,6,1,2,3]=>[[1,3,4],[2,5,8],[6,7]]=>14 [7,8,3,2,1,5,4,6]=>[3,2,7,1,5,4,8,6]=>[6,8,4,5,1,7,2,3]=>[[1,2,6],[3,4,8],[5,7]]=>16 [6,3,8,2,1,5,7,4]=>[6,3,8,2,1,5,7,4]=>[4,7,5,1,2,8,3,6]=>[[1,2,6,8],[3,5,7],[4]]=>15 [5,3,2,8,1,6,7,4]=>[3,8,2,5,1,6,7,4]=>[4,7,6,1,5,2,8,3]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [5,3,2,7,1,8,6,4]=>[3,2,5,7,8,1,6,4]=>[4,6,1,8,7,5,2,3]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [5,3,2,7,1,6,8,4]=>[3,2,5,7,1,6,8,4]=>[4,8,6,1,7,5,2,3]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [6,3,7,2,1,5,4,8]=>[6,3,2,7,1,5,4,8]=>[8,4,5,1,7,2,3,6]=>[[1,3,5,8],[2,6,7],[4]]=>13 [6,3,7,2,1,8,5,4]=>[6,3,2,7,8,1,5,4]=>[4,5,1,8,7,2,3,6]=>[[1,2,4,8],[3,5,7],[6]]=>15 [6,4,7,2,8,1,5,3]=>[4,2,6,1,7,8,5,3]=>[3,5,8,7,1,6,2,4]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [6,5,7,8,2,1,4,3]=>[6,5,2,1,7,8,4,3]=>[3,4,8,7,1,2,5,6]=>[[1,2,3,8],[4,6,7],[5]]=>19 [6,5,8,7,2,1,3,4]=>[6,2,1,8,5,3,7,4]=>[4,7,3,5,8,1,2,6]=>[[1,2,5],[3,4,8],[6,7]]=>19 [6,3,7,2,1,4,8,5]=>[6,3,2,1,4,7,8,5]=>[5,8,7,4,1,2,3,6]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [6,3,7,2,1,4,5,8]=>[6,3,2,1,4,7,5,8]=>[8,5,7,4,1,2,3,6]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [5,3,2,7,1,4,8,6]=>[3,5,2,1,7,8,4,6]=>[6,4,8,7,1,2,5,3]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [5,4,2,8,7,1,3,6]=>[5,8,4,2,1,7,3,6]=>[6,3,7,1,2,4,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>15 [7,8,4,2,6,1,3,5]=>[2,4,1,7,3,8,6,5]=>[5,6,8,3,7,1,4,2]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [7,8,3,2,1,6,4,5]=>[3,2,7,1,4,8,6,5]=>[5,6,8,4,1,7,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>17 [6,3,8,2,1,7,4,5]=>[6,3,8,2,1,4,7,5]=>[5,7,4,1,2,8,3,6]=>[[1,2,6,8],[3,5,7],[4]]=>15 [4,3,2,1,8,7,5,6]=>[4,8,3,7,2,1,5,6]=>[6,5,1,2,7,3,8,4]=>[[1,4,5,7],[2,6,8],[3]]=>11 [4,3,2,1,7,5,8,6]=>[4,3,7,2,8,1,5,6]=>[6,5,1,8,2,7,3,4]=>[[1,4,6,8],[2,5],[3,7]]=>9 [4,3,2,1,8,5,7,6]=>[4,8,3,2,7,1,5,6]=>[6,5,1,7,2,3,8,4]=>[[1,4,6,7],[2,5,8],[3]]=>10 [5,3,2,8,1,4,7,6]=>[3,5,2,8,1,7,4,6]=>[6,4,7,1,8,2,5,3]=>[[1,3,5],[2,6,7],[4,8]]=>12 [7,8,3,2,1,4,6,5]=>[3,2,1,4,7,8,6,5]=>[5,6,8,7,4,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [6,3,8,2,1,4,5,7]=>[3,2,1,6,4,8,5,7]=>[7,5,8,4,6,1,2,3]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [4,3,2,1,8,5,6,7]=>[4,8,3,2,1,5,6,7]=>[7,6,5,1,2,3,8,4]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [4,3,2,1,5,8,6,7]=>[4,3,8,2,1,5,6,7]=>[7,6,5,1,2,8,3,4]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [7,8,5,6,1,2,4,3]=>[1,2,7,5,8,6,4,3]=>[3,4,6,8,5,7,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [7,8,4,1,6,2,5,3]=>[4,1,2,7,8,6,5,3]=>[3,5,6,8,7,2,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [7,8,1,4,6,2,5,3]=>[7,1,4,8,2,6,5,3]=>[3,5,6,2,8,4,1,7]=>[[1,2,3,5],[4,6,8],[7]]=>18 [6,1,8,4,7,2,5,3]=>[6,1,8,4,7,2,5,3]=>[3,5,2,7,4,8,1,6]=>[[1,2,4,6],[3,5,8],[7]]=>16 [1,6,8,4,7,2,5,3]=>[6,4,8,1,7,5,2,3]=>[3,2,5,7,1,8,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>15 [1,6,8,3,2,7,5,4]=>[6,8,1,3,7,5,2,4]=>[4,2,5,7,3,1,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>13 [6,1,8,3,2,7,5,4]=>[6,8,1,3,7,2,5,4]=>[4,5,2,7,3,1,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>14 [7,8,1,3,2,6,5,4]=>[3,7,8,1,2,6,5,4]=>[4,5,6,2,1,8,7,3]=>[[1,2,3,6],[4,7],[5,8]]=>16 [7,8,3,1,2,6,5,4]=>[1,3,7,8,2,6,5,4]=>[4,5,6,2,8,7,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [7,8,3,4,6,5,1,2]=>[3,4,7,1,8,6,5,2]=>[2,5,6,8,1,7,4,3]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [7,8,2,4,6,1,5,3]=>[2,7,4,8,1,6,5,3]=>[3,5,6,1,8,4,7,2]=>[[1,2,3,5],[4,6,7],[8]]=>19 [7,8,2,3,1,6,5,4]=>[2,3,7,8,1,6,5,4]=>[4,5,6,1,8,7,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [7,8,2,1,3,6,5,4]=>[2,7,8,1,3,6,5,4]=>[4,5,6,3,1,8,7,2]=>[[1,2,3,6],[4,7],[5,8]]=>16 [7,8,1,2,3,6,5,4]=>[7,8,1,2,3,6,5,4]=>[4,5,6,3,2,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [6,1,8,2,3,7,5,4]=>[8,1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [1,6,8,2,3,7,5,4]=>[8,1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [1,5,2,8,3,7,6,4]=>[8,5,7,1,2,6,3,4]=>[4,3,6,2,1,7,5,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [5,1,2,8,3,7,6,4]=>[8,5,7,1,2,3,6,4]=>[4,6,3,2,1,7,5,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [5,2,1,8,3,7,6,4]=>[8,2,5,7,1,3,6,4]=>[4,6,3,1,7,5,2,8]=>[[1,2,5,8],[3,6],[4,7]]=>12 [6,2,8,1,3,7,5,4]=>[2,8,1,6,7,3,5,4]=>[4,5,3,7,6,1,8,2]=>[[1,2,4,7],[3,5],[6,8]]=>14 [6,2,8,3,1,7,5,4]=>[2,6,8,3,7,1,5,4]=>[4,5,1,7,3,8,6,2]=>[[1,2,4,6],[3,5,7],[8]]=>15 [6,2,8,4,7,1,5,3]=>[2,8,6,4,7,1,5,3]=>[3,5,1,7,4,6,8,2]=>[[1,2,4,7],[3,5,6],[8]]=>17 [6,3,8,4,7,5,1,2]=>[6,8,3,4,1,7,5,2]=>[2,5,7,1,4,3,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>19 [3,6,8,4,7,5,1,2]=>[6,8,3,7,4,1,5,2]=>[2,5,1,4,7,3,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>18 [2,6,8,4,7,1,5,3]=>[6,8,4,2,7,5,1,3]=>[3,1,5,7,2,4,8,6]=>[[1,3,4,7],[2,5,6,8]]=>16 [2,6,8,3,1,7,5,4]=>[2,6,8,3,7,5,1,4]=>[4,1,5,7,3,8,6,2]=>[[1,3,4,6],[2,5,7],[8]]=>14 [2,6,8,1,3,7,5,4]=>[2,8,1,6,7,5,3,4]=>[4,3,5,7,6,1,8,2]=>[[1,3,4,7],[2,5],[6,8]]=>13 [2,5,1,8,3,7,6,4]=>[8,2,5,7,1,6,3,4]=>[4,3,6,1,7,5,2,8]=>[[1,3,5,8],[2,6],[4,7]]=>11 [1,2,5,8,3,7,6,4]=>[8,5,7,1,6,2,3,4]=>[4,3,2,6,1,7,5,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [2,4,1,3,8,7,6,5]=>[8,4,7,2,6,1,3,5]=>[5,3,1,6,2,7,4,8]=>[[1,4,6,8],[2,5,7],[3]]=>9 [2,5,3,8,1,7,6,4]=>[5,8,2,7,3,6,1,4]=>[4,1,6,3,7,2,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>12 [2,5,4,8,7,1,6,3]=>[8,5,7,4,2,6,1,3]=>[3,1,6,2,4,7,5,8]=>[[1,3,5,6,8],[2,4,7]]=>14 [3,5,4,8,7,6,1,2]=>[8,5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5,8]=>[[1,2,6,8],[3,4,7],[5]]=>16 [5,3,4,8,7,6,1,2]=>[8,3,5,7,4,1,6,2]=>[2,6,1,4,7,5,3,8]=>[[1,2,5,8],[3,4,6],[7]]=>17 [5,2,4,8,7,1,6,3]=>[8,5,2,4,7,1,6,3]=>[3,6,1,7,4,2,5,8]=>[[1,2,4,8],[3,5,7],[6]]=>15 [5,2,3,8,1,7,6,4]=>[8,2,3,5,7,1,6,4]=>[4,6,1,7,5,3,2,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [4,2,1,3,8,7,6,5]=>[8,2,7,1,4,6,3,5]=>[5,3,6,4,1,7,2,8]=>[[1,3,6,8],[2,4],[5,7]]=>10 [4,1,2,3,8,7,6,5]=>[8,7,1,2,4,6,3,5]=>[5,3,6,4,2,1,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [1,4,2,3,8,7,6,5]=>[8,7,1,4,6,2,3,5]=>[5,3,2,6,4,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [4,1,3,2,8,7,6,5]=>[8,4,7,1,3,6,2,5]=>[5,2,6,3,1,7,4,8]=>[[1,3,6,8],[2,4,7],[5]]=>10 [4,3,1,2,8,7,6,5]=>[8,1,4,7,3,6,2,5]=>[5,2,6,3,7,4,1,8]=>[[1,3,5,8],[2,4,6],[7]]=>11 [6,3,8,1,2,7,5,4]=>[1,6,8,3,7,2,5,4]=>[4,5,2,7,3,8,6,1]=>[[1,2,4,6],[3,5,7],[8]]=>15 [5,3,1,8,2,7,6,4]=>[8,1,3,5,7,2,6,4]=>[4,6,2,7,5,3,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [5,1,3,8,2,7,6,4]=>[8,3,5,7,1,2,6,4]=>[4,6,2,1,7,5,3,8]=>[[1,2,5,8],[3,6],[4,7]]=>12 [1,5,3,8,2,7,6,4]=>[5,8,7,1,3,6,2,4]=>[4,2,6,3,1,7,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>11 [1,5,4,8,7,2,6,3]=>[8,5,4,7,1,6,2,3]=>[3,2,6,1,7,4,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>13 [5,1,4,8,7,2,6,3]=>[8,5,4,7,1,2,6,3]=>[3,6,2,1,7,4,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>14 [5,4,1,8,7,2,6,3]=>[8,5,1,4,7,2,6,3]=>[3,6,2,7,4,1,5,8]=>[[1,2,4,8],[3,5,7],[6]]=>15 [6,4,8,1,7,2,5,3]=>[1,4,6,8,2,7,5,3]=>[3,5,7,2,8,6,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [6,5,8,7,1,2,4,3]=>[1,6,5,8,2,7,4,3]=>[3,4,7,2,8,5,6,1]=>[[1,2,3,5],[4,6,7],[8]]=>19 [5,6,8,7,3,4,1,2]=>[8,5,6,3,1,7,4,2]=>[2,4,7,1,3,6,5,8]=>[[1,2,3,8],[4,5,6],[7]]=>21 [5,6,8,7,2,1,4,3]=>[5,6,2,8,1,7,4,3]=>[3,4,7,1,8,2,6,5]=>[[1,2,3,5],[4,6,7],[8]]=>19 [4,5,1,8,7,2,6,3]=>[1,8,4,5,7,2,6,3]=>[3,6,2,7,5,4,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [4,1,5,8,7,2,6,3]=>[4,8,5,7,1,2,6,3]=>[3,6,2,1,7,5,8,4]=>[[1,2,5,7],[3,6],[4,8]]=>13 [1,4,5,8,7,2,6,3]=>[4,8,5,7,1,6,2,3]=>[3,2,6,1,7,5,8,4]=>[[1,3,5,7],[2,6],[4,8]]=>12 [1,3,5,8,2,7,6,4]=>[5,8,7,3,6,1,2,4]=>[4,2,1,6,3,7,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>10 [3,1,5,8,2,7,6,4]=>[8,3,5,7,1,6,2,4]=>[4,2,6,1,7,5,3,8]=>[[1,3,5,8],[2,6],[4,7]]=>11 [3,6,8,1,2,7,5,4]=>[1,6,8,3,7,5,2,4]=>[4,2,5,7,3,8,6,1]=>[[1,3,4,6],[2,5,7],[8]]=>14 [3,6,8,2,1,7,5,4]=>[6,3,8,2,7,5,1,4]=>[4,1,5,7,2,8,3,6]=>[[1,3,4,6],[2,5,7,8]]=>15 [4,6,8,2,7,1,5,3]=>[6,8,4,2,7,1,5,3]=>[3,5,1,7,2,4,8,6]=>[[1,2,4,7],[3,5,6,8]]=>17 [4,6,8,3,7,5,1,2]=>[8,6,4,7,3,1,5,2]=>[2,5,1,3,7,4,6,8]=>[[1,2,5,7,8],[3,4,6]]=>19 [4,5,3,8,7,6,1,2]=>[8,4,5,7,3,1,6,2]=>[2,6,1,3,7,5,4,8]=>[[1,2,5,8],[3,4,6],[7]]=>17 [4,5,2,8,7,1,6,3]=>[8,4,2,5,7,1,6,3]=>[3,6,1,7,5,2,4,8]=>[[1,2,4,8],[3,5,7],[6]]=>15 [3,5,2,8,1,7,6,4]=>[8,5,3,7,2,6,1,4]=>[4,1,6,2,7,3,5,8]=>[[1,3,5,7,8],[2,4,6]]=>13 [3,1,4,2,8,7,6,5]=>[8,7,1,3,4,6,2,5]=>[5,2,6,4,3,1,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [3,1,2,4,8,7,6,5]=>[8,7,1,3,6,2,4,5]=>[5,4,2,6,3,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [3,2,5,8,1,7,6,4]=>[3,8,5,7,2,6,1,4]=>[4,1,6,2,7,5,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>12 [4,2,5,8,7,1,6,3]=>[2,8,4,5,7,1,6,3]=>[3,6,1,7,5,4,8,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [4,3,5,8,7,6,1,2]=>[8,4,7,3,5,1,6,2]=>[2,6,1,5,3,7,4,8]=>[[1,2,6,8],[3,4,7],[5]]=>16 [3,4,5,8,7,6,1,2]=>[8,7,3,4,5,1,6,2]=>[2,6,1,5,4,3,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [2,4,5,8,7,1,6,3]=>[8,7,4,5,2,6,1,3]=>[3,1,6,2,5,4,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>13 [2,3,5,8,1,7,6,4]=>[5,8,7,2,3,6,1,4]=>[4,1,6,3,2,7,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>11 [4,1,3,2,6,5,8,7]=>[4,1,3,6,8,2,5,7]=>[7,5,2,8,6,3,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [5,1,3,2,6,4,8,7]=>[3,1,2,5,6,8,4,7]=>[7,4,8,6,5,2,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [6,1,3,2,5,4,8,7]=>[3,6,1,2,5,8,4,7]=>[7,4,8,5,2,1,6,3]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [8,1,3,2,5,4,7,6]=>[3,5,8,1,2,4,7,6]=>[6,7,4,2,1,8,5,3]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [6,1,4,2,5,3,8,7]=>[1,2,6,4,5,8,3,7]=>[7,3,8,5,4,6,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [4,1,6,2,5,3,8,7]=>[4,6,1,2,5,8,3,7]=>[7,3,8,5,2,1,6,4]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [6,2,5,1,4,3,8,7]=>[2,6,5,1,4,8,3,7]=>[7,3,8,4,1,5,6,2]=>[[1,3,6,7],[2,4],[5,8]]=>11 [5,2,6,1,4,3,8,7]=>[5,2,6,1,4,8,3,7]=>[7,3,8,4,1,6,2,5]=>[[1,3,6],[2,4,8],[5,7]]=>10 [5,2,7,1,4,3,8,6]=>[2,1,5,7,4,8,3,6]=>[6,3,8,4,7,5,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [5,2,8,1,4,3,7,6]=>[2,5,1,8,4,7,3,6]=>[6,3,7,4,8,1,5,2]=>[[1,3,5],[2,4,7],[6,8]]=>12 [6,2,8,1,4,3,7,5]=>[2,6,4,8,1,3,7,5]=>[5,7,3,1,8,4,6,2]=>[[1,2,5],[3,6,7],[4,8]]=>13 [6,2,7,1,4,3,8,5]=>[2,6,4,1,3,7,8,5]=>[5,8,7,3,1,4,6,2]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [7,2,6,1,4,3,8,5]=>[2,7,1,4,3,6,8,5]=>[5,8,6,3,4,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [7,2,5,1,4,3,8,6]=>[2,5,4,1,3,7,8,6]=>[6,8,7,3,1,4,5,2]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [4,1,7,2,5,3,8,6]=>[1,4,7,2,5,8,3,6]=>[6,3,8,5,2,7,4,1]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [2,1,7,3,5,4,8,6]=>[2,7,1,5,8,3,4,6]=>[6,4,3,8,5,1,7,2]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [2,1,8,3,5,4,7,6]=>[8,2,1,5,7,3,4,6]=>[6,4,3,7,5,1,2,8]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [4,1,8,2,5,3,7,6]=>[4,1,8,2,5,7,3,6]=>[6,3,7,5,2,8,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [8,2,5,1,4,3,7,6]=>[2,5,4,8,1,3,7,6]=>[6,7,3,1,8,4,5,2]=>[[1,2,5],[3,6,7],[4,8]]=>13 [7,1,4,3,8,2,6,5]=>[4,7,3,8,1,2,6,5]=>[5,6,2,1,8,3,7,4]=>[[1,2,5],[3,6,7],[4,8]]=>13 [8,1,5,3,7,2,6,4]=>[1,3,8,5,7,2,6,4]=>[4,6,2,7,5,8,3,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [7,1,5,3,8,2,6,4]=>[1,7,3,5,8,2,6,4]=>[4,6,2,8,5,3,7,1]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [4,1,8,2,6,3,7,5]=>[1,8,4,2,6,7,3,5]=>[5,3,7,6,2,4,8,1]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [3,1,8,2,6,4,7,5]=>[3,1,6,8,7,2,4,5]=>[5,4,2,7,8,6,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [2,1,8,3,6,4,7,5]=>[2,1,8,6,7,3,4,5]=>[5,4,3,7,6,8,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [4,1,7,2,6,3,8,5]=>[4,1,7,2,6,8,3,5]=>[5,3,8,6,2,7,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [8,1,5,2,6,3,7,4]=>[5,1,2,3,8,6,7,4]=>[4,7,6,8,3,2,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [6,1,5,2,7,3,8,4]=>[6,1,5,2,3,7,8,4]=>[4,8,7,3,2,5,1,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [6,1,4,2,7,3,8,5]=>[1,4,6,2,3,7,8,5]=>[5,8,7,3,2,6,4,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>10 [8,1,4,2,6,3,7,5]=>[1,8,4,2,3,6,7,5]=>[5,7,6,3,2,4,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [8,1,3,2,6,4,7,5]=>[8,1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [7,1,3,2,6,4,8,5]=>[7,3,1,2,4,6,8,5]=>[5,8,6,4,2,1,3,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [5,1,3,2,7,4,8,6]=>[3,5,1,2,7,8,4,6]=>[6,4,8,7,2,1,5,3]=>[[1,3],[2,4],[5,7],[6,8]]=>8 [4,1,3,2,7,5,8,6]=>[4,7,1,3,8,2,5,6]=>[6,5,2,8,3,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [3,1,4,2,8,5,7,6]=>[1,8,3,4,7,2,5,6]=>[6,5,2,7,4,3,8,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [4,1,3,2,8,5,7,6]=>[8,4,1,3,7,2,5,6]=>[6,5,2,7,3,1,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [6,1,3,2,8,4,7,5]=>[3,6,8,1,2,4,7,5]=>[5,7,4,2,1,8,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [8,4,7,1,3,2,6,5]=>[4,1,3,8,7,2,6,5]=>[5,6,2,7,8,3,1,4]=>[[1,2,4,5],[3,6,8],[7]]=>17 [7,4,8,1,3,2,6,5]=>[7,1,4,3,8,2,6,5]=>[5,6,2,8,3,4,1,7]=>[[1,2,4,8],[3,5,6],[7]]=>16 [7,3,8,1,4,2,6,5]=>[1,3,7,4,8,2,6,5]=>[5,6,2,8,4,7,3,1]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [8,3,7,1,4,2,6,5]=>[1,3,4,8,7,2,6,5]=>[5,6,2,7,8,4,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [6,1,4,2,8,3,7,5]=>[1,4,6,8,2,3,7,5]=>[5,7,3,2,8,6,4,1]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [5,1,4,2,8,3,7,6]=>[5,4,8,1,2,7,3,6]=>[6,3,7,2,1,8,4,5]=>[[1,3,6],[2,7,8],[4],[5]]=>10 [4,1,5,2,8,3,7,6]=>[4,5,8,1,2,7,3,6]=>[6,3,7,2,1,8,5,4]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [2,1,5,3,8,4,7,6]=>[8,5,2,7,1,3,4,6]=>[6,4,3,1,7,2,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [4,1,6,2,8,3,7,5]=>[1,4,6,8,2,7,3,5]=>[5,3,7,2,8,6,4,1]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [5,1,6,2,8,3,7,4]=>[1,5,6,8,2,3,7,4]=>[4,7,3,2,8,6,5,1]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [6,1,5,2,8,3,7,4]=>[6,1,5,8,2,3,7,4]=>[4,7,3,2,8,5,1,6]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [8,3,7,1,5,2,6,4]=>[1,8,3,2,7,5,6,4]=>[4,6,5,7,2,3,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [6,2,8,3,7,1,5,4]=>[6,2,8,3,7,1,5,4]=>[4,5,1,7,3,8,2,6]=>[[1,2,4,6],[3,5,8],[7]]=>16 [8,3,7,2,6,1,5,4]=>[8,3,2,7,6,1,5,4]=>[4,5,1,6,7,2,3,8]=>[[1,2,4,5,8],[3,6,7]]=>19 [5,1,8,3,7,2,6,4]=>[8,5,3,7,1,2,6,4]=>[4,6,2,1,7,3,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>14 [3,1,8,4,7,2,6,5]=>[8,7,3,1,4,6,2,5]=>[5,2,6,4,1,3,7,8]=>[[1,3,7,8],[2,4],[5,6]]=>12 [2,1,8,4,7,3,6,5]=>[2,8,4,7,6,1,3,5]=>[5,3,1,6,7,4,8,2]=>[[1,4,5,7],[2,6],[3,8]]=>11 [3,1,7,4,8,2,6,5]=>[7,8,3,1,4,6,2,5]=>[5,2,6,4,1,3,8,7]=>[[1,3,7],[2,4,8],[5,6]]=>11 [4,1,7,3,8,2,6,5]=>[4,7,1,8,3,6,2,5]=>[5,2,6,3,8,1,7,4]=>[[1,3,5],[2,4,7],[6,8]]=>12 [5,1,7,3,8,2,6,4]=>[5,7,3,8,1,2,6,4]=>[4,6,2,1,8,3,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>13 [7,3,8,2,6,1,5,4]=>[3,7,2,8,6,1,5,4]=>[4,5,1,6,8,2,7,3]=>[[1,2,4,5],[3,6,7],[8]]=>18 [7,2,6,3,8,1,5,4]=>[7,2,6,3,8,1,5,4]=>[4,5,1,8,3,6,2,7]=>[[1,2,4,8],[3,5,6],[7]]=>16 [5,3,6,2,4,8,1,7]=>[3,5,2,6,8,4,1,7]=>[7,1,4,8,6,2,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [5,7,3,8,2,4,1,6]=>[7,5,3,2,8,4,1,6]=>[6,1,4,8,2,3,5,7]=>[[1,3,4,7,8],[2,6],[5]]=>17 [5,7,3,8,2,4,6,1]=>[7,5,3,2,8,4,6,1]=>[1,6,4,8,2,3,5,7]=>[[1,2,4,7,8],[3,6],[5]]=>18 [7,4,2,5,8,3,1,6]=>[2,4,5,7,3,1,8,6]=>[6,8,1,3,7,5,4,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [5,3,1,6,8,2,4,7]=>[8,1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [4,1,5,6,3,8,2,7]=>[4,5,6,8,1,3,2,7]=>[7,2,3,1,8,6,5,4]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [4,5,6,3,2,8,1,7]=>[4,5,6,3,8,2,1,7]=>[7,1,2,8,3,6,5,4]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [7,4,5,3,8,2,1,6]=>[4,5,3,7,2,1,8,6]=>[6,8,1,2,7,3,5,4]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [6,7,4,8,3,2,5,1]=>[6,4,7,3,2,8,5,1]=>[1,5,8,2,3,7,4,6]=>[[1,2,3,6,8],[4,5],[7]]=>21 [6,7,4,8,3,2,1,5]=>[6,4,7,3,2,1,8,5]=>[5,8,1,2,3,7,4,6]=>[[1,2,5,6,8],[3,4],[7]]=>20 [6,7,4,1,8,3,2,5]=>[6,1,4,7,3,2,8,5]=>[5,8,2,3,7,4,1,6]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [7,4,5,3,1,8,2,6]=>[4,1,5,3,7,2,8,6]=>[6,8,2,7,3,5,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [5,3,7,8,1,4,2,6]=>[5,1,7,3,8,4,2,6]=>[6,2,4,8,3,7,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [7,3,5,8,1,4,6,2]=>[5,3,7,1,4,8,6,2]=>[2,6,8,4,1,7,3,5]=>[[1,2,3],[4,6,8],[5,7]]=>17 [4,5,1,7,8,3,6,2]=>[7,8,1,4,5,3,6,2]=>[2,6,3,5,4,1,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [7,4,1,5,8,3,6,2]=>[4,5,7,1,3,8,6,2]=>[2,6,8,3,1,7,5,4]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [6,7,4,3,8,1,5,2]=>[6,4,3,1,7,8,5,2]=>[2,5,8,7,1,3,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>19 [6,7,4,8,3,5,2,1]=>[6,4,7,3,8,5,2,1]=>[1,2,5,8,3,7,4,6]=>[[1,2,3,4,8],[5,6],[7]]=>22 [5,6,1,7,3,8,4,2]=>[5,6,1,3,7,8,4,2]=>[2,4,8,7,3,1,6,5]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [5,1,6,7,3,8,4,2]=>[5,6,1,7,8,3,4,2]=>[2,4,3,8,7,1,6,5]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [6,4,7,1,8,3,5,2]=>[1,4,6,7,3,8,5,2]=>[2,5,8,3,7,6,4,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [6,7,8,3,1,4,5,2]=>[1,6,3,7,4,8,5,2]=>[2,5,8,4,7,3,6,1]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [6,7,2,8,4,5,1,3]=>[6,7,2,4,1,8,5,3]=>[3,5,8,1,4,2,7,6]=>[[1,2,3],[4,5,7],[6,8]]=>19 [5,6,7,3,2,1,8,4]=>[5,6,3,2,1,7,8,4]=>[4,8,7,1,2,3,6,5]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [5,6,7,3,2,8,4,1]=>[5,6,3,2,7,8,4,1]=>[1,4,8,7,2,3,6,5]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [5,6,2,7,3,8,4,1]=>[2,5,6,3,7,8,4,1]=>[1,4,8,7,3,6,5,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [5,6,2,1,7,3,8,4]=>[2,1,5,6,3,7,8,4]=>[4,8,7,3,6,5,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>12 [6,7,2,1,8,3,4,5]=>[2,6,1,3,7,4,8,5]=>[5,8,4,7,3,1,6,2]=>[[1,2],[3,4],[5,7],[6,8]]=>14 [7,5,8,2,1,3,4,6]=>[2,1,5,3,7,4,8,6]=>[6,8,4,7,3,5,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>16 [5,7,3,1,8,2,4,6]=>[3,1,7,5,2,8,4,6]=>[6,4,8,2,5,7,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [4,7,1,5,2,8,3,6]=>[1,7,4,5,2,8,3,6]=>[6,3,8,2,5,4,7,1]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [7,4,2,5,1,8,3,6]=>[2,4,1,5,7,3,8,6]=>[6,8,3,7,5,1,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>14 [6,7,4,2,1,8,3,5]=>[2,1,6,4,7,3,8,5]=>[5,8,3,7,4,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [6,7,4,2,8,3,5,1]=>[2,6,4,7,3,8,5,1]=>[1,5,8,3,7,4,6,2]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [3,6,7,2,8,4,5,1]=>[6,3,7,2,8,4,5,1]=>[1,5,4,8,2,7,3,6]=>[[1,2,4,8],[3,6],[5,7]]=>16 [3,6,7,2,8,4,1,5]=>[6,3,7,2,8,4,1,5]=>[5,1,4,8,2,7,3,6]=>[[1,3,4,8],[2,6],[5,7]]=>15 [5,7,3,8,2,1,4,6]=>[7,5,3,2,1,8,4,6]=>[6,4,8,1,2,3,5,7]=>[[1,3,6,7,8],[2,5],[4]]=>16 [3,4,7,8,2,1,5,6]=>[7,3,8,4,2,1,5,6]=>[6,5,1,2,4,8,3,7]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [3,7,8,1,4,6,2,5]=>[1,3,7,8,6,4,2,5]=>[5,2,4,6,8,7,3,1]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [3,4,7,8,2,6,1,5]=>[7,3,8,4,6,2,1,5]=>[5,1,2,6,4,8,3,7]=>[[1,3,4,6],[2,5,8],[7]]=>15 [5,7,3,8,2,6,1,4]=>[5,7,3,8,2,1,6,4]=>[4,6,1,2,8,3,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>18 [3,6,7,2,8,5,1,4]=>[6,3,7,8,5,2,1,4]=>[4,1,2,5,8,7,3,6]=>[[1,3,4,5],[2,6,8],[7]]=>16 [3,6,7,8,5,2,1,4]=>[6,7,8,5,3,2,1,4]=>[4,1,2,3,5,8,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>18 [3,6,7,8,5,2,4,1]=>[6,7,8,5,3,2,4,1]=>[1,4,2,3,5,8,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>19 [6,4,7,8,2,5,3,1]=>[4,6,2,7,8,5,3,1]=>[1,3,5,8,7,2,6,4]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [6,4,7,8,2,1,5,3]=>[4,6,2,1,7,8,5,3]=>[3,5,8,7,1,2,6,4]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [4,1,5,7,8,2,6,3]=>[7,4,5,8,1,2,6,3]=>[3,6,2,1,8,5,4,7]=>[[1,2,5],[3,6,8],[4,7]]=>12 [5,3,7,8,1,6,2,4]=>[7,3,5,1,8,2,6,4]=>[4,6,2,8,1,5,3,7]=>[[1,2,4],[3,6,8],[5,7]]=>16 [6,7,2,8,5,1,3,4]=>[6,7,2,1,3,8,5,4]=>[4,5,8,3,1,2,7,6]=>[[1,2,3],[4,6,7],[5,8]]=>18 [5,1,6,2,7,8,4,3]=>[1,5,6,7,8,2,4,3]=>[3,4,2,8,7,6,5,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [5,6,2,1,7,8,4,3]=>[2,1,5,6,7,8,4,3]=>[3,4,8,7,6,5,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [5,6,2,7,1,8,4,3]=>[2,5,1,6,7,8,4,3]=>[3,4,8,7,6,1,5,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [5,6,2,7,8,4,3,1]=>[2,5,6,7,8,4,3,1]=>[1,3,4,8,7,6,5,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>18 [5,6,7,2,8,4,3,1]=>[5,2,6,7,8,4,3,1]=>[1,3,4,8,7,6,2,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [5,6,7,2,1,8,4,3]=>[5,2,1,6,7,8,4,3]=>[3,4,8,7,6,1,2,5]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [5,6,1,7,2,8,4,3]=>[5,1,2,6,7,8,4,3]=>[3,4,8,7,6,2,1,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [5,1,6,7,2,8,4,3]=>[5,1,6,7,8,2,4,3]=>[3,4,2,8,7,6,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [6,4,7,1,8,2,5,3]=>[1,4,6,2,7,8,5,3]=>[3,5,8,7,2,6,4,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [3,6,7,1,8,5,2,4]=>[6,3,7,1,8,5,2,4]=>[4,2,5,8,1,7,3,6]=>[[1,3,4],[2,6,8],[5,7]]=>15 [6,7,8,5,2,4,1,3]=>[6,2,7,1,8,5,4,3]=>[3,4,5,8,1,7,2,6]=>[[1,2,3,4],[5,6,8],[7]]=>22 [6,7,8,3,5,1,4,2]=>[6,3,1,7,8,5,4,2]=>[2,4,5,8,7,1,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>21 [4,6,7,8,1,5,3,2]=>[6,4,7,8,1,5,3,2]=>[2,3,5,1,8,7,4,6]=>[[1,2,3,5],[4,6,8],[7]]=>18 [5,1,6,7,8,4,3,2]=>[5,6,7,8,4,1,3,2]=>[2,3,1,4,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [5,6,1,7,8,4,3,2]=>[5,6,7,8,1,4,3,2]=>[2,3,4,1,8,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [5,6,7,1,8,4,3,2]=>[1,5,6,7,8,4,3,2]=>[2,3,4,8,7,6,5,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>18 [8,6,1,3,4,2,5,7]=>[3,4,1,2,6,5,8,7]=>[7,8,5,6,2,1,4,3]=>[[1,2],[3,4],[5,7],[6,8]]=>14 [8,3,2,5,1,6,4,7]=>[3,5,2,6,1,4,8,7]=>[7,8,4,1,6,2,5,3]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [8,5,3,6,2,4,1,7]=>[3,5,2,6,4,1,8,7]=>[7,8,1,4,6,2,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [5,3,2,7,4,1,8,6]=>[3,5,2,7,4,8,1,6]=>[6,1,8,4,7,2,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [7,5,3,8,2,4,6,1]=>[3,5,2,7,4,8,6,1]=>[1,6,8,4,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [7,2,4,5,8,3,6,1]=>[4,5,7,2,3,8,6,1]=>[1,6,8,3,2,7,5,4]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [2,4,5,3,7,1,8,6]=>[4,5,7,2,3,8,1,6]=>[6,1,8,3,2,7,5,4]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [8,2,4,5,6,3,1,7]=>[4,5,6,2,3,1,8,7]=>[7,8,1,3,2,6,5,4]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [8,2,4,5,6,1,3,7]=>[4,5,6,2,1,3,8,7]=>[7,8,3,1,2,6,5,4]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [8,1,2,4,5,6,3,7]=>[4,5,6,1,2,3,8,7]=>[7,8,3,2,1,6,5,4]=>[[1,2],[3,6],[4,7],[5,8]]=>10 [8,2,5,1,3,6,4,7]=>[2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>12 [8,5,6,2,1,4,3,7]=>[2,1,5,6,4,3,8,7]=>[7,8,3,4,6,5,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [8,5,3,6,4,1,2,7]=>[3,5,1,6,4,2,8,7]=>[7,8,2,4,6,1,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [8,4,1,5,6,3,2,7]=>[4,5,6,1,3,2,8,7]=>[7,8,2,3,1,6,5,4]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [8,1,4,5,6,3,2,7]=>[4,5,6,3,1,2,8,7]=>[7,8,2,1,3,6,5,4]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [4,5,3,7,2,1,8,6]=>[4,5,7,3,2,8,1,6]=>[6,1,8,2,3,7,5,4]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [7,4,5,8,3,2,6,1]=>[4,5,7,3,2,8,6,1]=>[1,6,8,2,3,7,5,4]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [4,3,6,7,2,8,5,1]=>[4,6,7,3,8,2,5,1]=>[1,5,2,8,3,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [4,3,6,7,2,8,1,5]=>[4,6,7,3,8,2,1,5]=>[5,1,2,8,3,7,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [1,4,3,6,7,2,8,5]=>[4,6,7,3,8,1,2,5]=>[5,2,1,8,3,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [4,5,3,7,1,8,2,6]=>[4,5,7,3,1,8,2,6]=>[6,2,8,1,3,7,5,4]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [4,1,5,3,7,2,8,6]=>[4,5,7,1,3,8,2,6]=>[6,2,8,3,1,7,5,4]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [5,3,4,7,1,2,8,6]=>[3,5,1,7,4,8,2,6]=>[6,2,8,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [7,5,8,2,1,4,6,3]=>[2,1,5,7,4,8,6,3]=>[3,6,8,4,7,5,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [7,5,3,8,4,1,6,2]=>[3,5,1,7,4,8,6,2]=>[2,6,8,4,7,1,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [7,4,5,8,3,6,1,2]=>[4,5,7,3,1,8,6,2]=>[2,6,8,1,3,7,5,4]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [4,3,6,7,8,1,5,2]=>[4,6,7,3,8,1,5,2]=>[2,5,1,8,3,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [1,6,4,7,8,3,5,2]=>[4,6,7,3,8,5,1,2]=>[2,1,5,8,3,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [6,4,7,8,3,5,2,1]=>[4,6,7,3,8,5,2,1]=>[1,2,5,8,3,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [3,5,6,7,8,4,1,2]=>[5,6,7,8,3,1,4,2]=>[2,4,1,3,8,7,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [3,1,5,6,7,8,4,2]=>[5,6,7,8,1,3,4,2]=>[2,4,3,1,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [4,6,1,7,8,3,5,2]=>[4,6,7,1,8,3,5,2]=>[2,5,3,8,1,7,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [3,6,7,1,4,8,5,2]=>[3,6,1,7,8,4,5,2]=>[2,5,4,8,7,1,6,3]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [6,2,4,1,7,8,5,3]=>[2,1,6,7,8,4,5,3]=>[3,5,4,8,7,6,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [2,6,7,1,4,8,3,5]=>[2,1,6,7,8,4,3,5]=>[5,3,4,8,7,6,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [4,3,6,7,8,1,2,5]=>[4,6,7,1,8,3,2,5]=>[5,2,3,8,1,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [3,5,6,7,8,2,1,4]=>[5,6,7,8,3,2,1,4]=>[4,1,2,3,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [3,5,6,7,8,2,4,1]=>[5,6,7,8,3,2,4,1]=>[1,4,2,3,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [5,2,7,1,3,8,4,6]=>[2,1,5,7,3,8,4,6]=>[6,4,8,3,7,5,1,2]=>[[1,3],[2,5],[4,6],[7,8]]=>11 [5,3,1,7,8,2,4,6]=>[3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>[[1,3],[2,5],[4,7],[6,8]]=>12 [4,5,2,7,8,1,3,6]=>[4,5,7,2,1,8,3,6]=>[6,3,8,1,2,7,5,4]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [4,2,6,7,8,3,1,5]=>[4,6,7,2,8,3,1,5]=>[5,1,3,8,2,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [4,2,6,7,8,3,5,1]=>[4,6,7,2,8,3,5,1]=>[1,5,3,8,2,7,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [3,6,2,7,4,8,5,1]=>[3,6,2,7,8,4,5,1]=>[1,5,4,8,7,2,6,3]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [3,6,2,7,4,8,1,5]=>[3,6,2,7,8,4,1,5]=>[5,1,4,8,7,2,6,3]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [3,2,1,6,4,7,8,5]=>[3,6,2,7,8,1,4,5]=>[5,4,1,8,7,2,6,3]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [1,7,3,4,2,5,8,6]=>[3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>8 [4,7,2,1,3,5,8,6]=>[2,1,4,3,7,8,5,6]=>[6,5,8,7,3,4,1,2]=>[[1,3],[2,4],[5,6],[7,8]]=>10 [7,8,4,2,1,3,6,5]=>[2,1,4,3,7,8,6,5]=>[5,6,8,7,3,4,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [7,8,1,3,4,2,6,5]=>[3,4,1,2,7,8,6,5]=>[5,6,8,7,2,1,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [7,8,3,4,2,1,6,5]=>[3,4,2,1,7,8,6,5]=>[5,6,8,7,1,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [6,3,2,7,1,8,5,4]=>[3,6,2,7,8,1,5,4]=>[4,5,1,8,7,2,6,3]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [3,6,2,7,1,8,5,4]=>[3,6,2,7,8,5,1,4]=>[4,1,5,8,7,2,6,3]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [6,7,3,8,2,5,4,1]=>[3,6,2,7,8,5,4,1]=>[1,4,5,8,7,2,6,3]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [6,4,7,8,5,2,3,1]=>[4,6,7,2,8,5,3,1]=>[1,3,5,8,2,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [2,6,4,7,8,1,5,3]=>[4,6,7,2,8,5,1,3]=>[3,1,5,8,2,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [4,6,2,7,8,1,5,3]=>[4,6,7,2,8,1,5,3]=>[3,5,1,8,2,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [7,4,5,8,6,2,1,3]=>[4,5,7,2,1,8,6,3]=>[3,6,8,1,2,7,5,4]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [7,4,1,5,8,6,2,3]=>[4,5,7,1,2,8,6,3]=>[3,6,8,2,1,7,5,4]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [7,5,3,8,6,1,2,4]=>[3,5,1,7,2,8,6,4]=>[4,6,8,2,7,1,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [7,5,8,2,1,6,3,4]=>[2,1,5,7,3,8,6,4]=>[4,6,8,3,7,5,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [6,2,7,1,3,8,5,4]=>[2,1,6,7,8,3,5,4]=>[4,5,3,8,7,6,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [6,3,1,7,8,2,5,4]=>[3,6,1,7,8,2,5,4]=>[4,5,2,8,7,1,6,3]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [4,6,1,7,8,5,2,3]=>[4,6,7,1,8,2,5,3]=>[3,5,2,8,1,7,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [5,1,2,6,7,8,4,3]=>[5,6,7,8,1,2,4,3]=>[3,4,2,1,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [5,2,6,7,8,4,1,3]=>[5,6,7,8,2,1,4,3]=>[3,4,1,2,8,7,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [5,2,6,7,8,4,3,1]=>[5,6,7,8,2,4,3,1]=>[1,3,4,2,8,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [2,5,6,7,8,4,1,3]=>[5,6,7,8,4,2,1,3]=>[3,1,2,4,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [1,5,2,6,7,8,4,3]=>[5,6,7,8,1,4,2,3]=>[3,2,4,1,8,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [1,6,4,7,8,5,2,3]=>[4,6,7,1,8,5,2,3]=>[3,2,5,8,1,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [2,6,7,1,3,8,5,4]=>[2,1,6,7,8,5,3,4]=>[4,3,5,8,7,6,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [6,7,8,2,1,5,4,3]=>[2,1,6,7,8,5,4,3]=>[3,4,5,8,7,6,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [6,7,3,8,5,1,4,2]=>[3,6,1,7,8,5,4,2]=>[2,4,5,8,7,1,6,3]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [6,4,7,8,5,3,1,2]=>[4,6,7,1,8,5,3,2]=>[2,3,5,8,1,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [1,5,6,3,4,8,7,2]=>[5,3,6,8,4,7,1,2]=>[2,1,7,4,8,6,3,5]=>[[1,3,5],[2,4,6],[7,8]]=>11 [4,6,2,7,3,5,1,8]=>[6,4,2,7,3,5,1,8]=>[8,1,5,3,7,2,4,6]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [4,7,2,6,5,3,1,8]=>[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[[1,3,4,6,8],[2,7],[5]]=>15 [1,7,5,4,8,3,6,2]=>[5,4,7,3,8,6,1,2]=>[2,1,6,8,3,7,4,5]=>[[1,3,4,8],[2,5,6],[7]]=>15 [8,7,5,4,1,3,2,6]=>[5,1,4,3,2,8,7,6]=>[6,7,8,2,3,4,1,5]=>[[1,2,3,8],[4,5,6],[7]]=>21 [6,8,5,4,2,1,3,7]=>[2,1,8,6,5,4,3,7]=>[7,3,4,5,6,8,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>19 [5,8,6,2,4,1,3,7]=>[2,5,1,8,6,4,3,7]=>[7,3,4,6,8,1,5,2]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [4,8,2,6,5,1,3,7]=>[8,2,4,1,6,5,3,7]=>[7,3,5,6,1,4,2,8]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [3,2,8,6,5,1,4,7]=>[8,3,6,5,2,1,4,7]=>[7,4,1,2,5,6,3,8]=>[[1,4,5,6,8],[2,7],[3]]=>13 [4,1,2,6,5,8,7,3]=>[6,8,1,2,4,5,7,3]=>[3,7,5,4,2,1,8,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [5,1,6,2,4,8,7,3]=>[1,5,6,8,2,4,7,3]=>[3,7,4,2,8,6,5,1]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [8,1,6,7,4,5,2,3]=>[1,6,8,7,4,2,5,3]=>[3,5,2,4,7,8,6,1]=>[[1,2,5,6],[3,4,7],[8]]=>19 [6,1,7,8,2,4,5,3]=>[1,6,7,2,8,4,5,3]=>[3,5,4,8,2,7,6,1]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [5,1,7,2,8,4,6,3]=>[5,7,1,8,2,4,6,3]=>[3,6,4,2,8,1,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [4,1,2,7,8,5,6,3]=>[7,1,8,2,4,5,6,3]=>[3,6,5,4,2,8,1,7]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [3,2,1,7,8,5,6,4]=>[7,8,3,2,5,6,1,4]=>[4,1,6,5,2,3,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>11 [5,8,7,2,1,4,3,6]=>[2,8,1,7,5,4,3,6]=>[6,3,4,5,7,1,8,2]=>[[1,3,4,5,7],[2,8],[6]]=>17 [8,7,6,1,4,3,2,5]=>[4,3,1,2,8,7,6,5]=>[5,6,7,8,2,1,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>21 [1,7,6,8,4,3,5,2]=>[7,6,4,3,8,5,1,2]=>[2,1,5,8,3,4,6,7]=>[[1,3,4,7,8],[2,5,6]]=>17 [1,6,7,8,3,4,5,2]=>[6,3,7,4,8,5,1,2]=>[2,1,5,8,4,7,3,6]=>[[1,3,4],[2,5,6],[7,8]]=>15 [8,6,7,1,3,4,2,5]=>[1,6,3,4,2,8,7,5]=>[5,7,8,2,4,3,6,1]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [7,6,8,1,3,2,4,5]=>[3,1,2,7,6,4,8,5]=>[5,8,4,6,7,2,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [5,7,8,2,1,3,4,6]=>[2,1,7,3,8,5,4,6]=>[6,4,5,8,3,7,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [3,2,6,8,4,1,5,7]=>[8,6,3,2,4,1,5,7]=>[7,5,1,4,2,3,6,8]=>[[1,4,6,7,8],[2],[3],[5]]=>11 [6,5,8,3,2,1,4,7]=>[6,3,2,1,8,5,4,7]=>[7,4,5,8,1,2,3,6]=>[[1,3,4,8],[2,6,7],[5]]=>17 [8,5,7,3,1,4,2,6]=>[1,3,8,5,4,2,7,6]=>[6,7,2,4,5,8,3,1]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [1,4,3,7,8,5,6,2]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>11 [6,4,3,8,2,1,5,7]=>[4,6,3,2,1,8,5,7]=>[7,5,8,1,2,3,6,4]=>[[1,3,6,7],[2,5],[4,8]]=>15 [4,5,2,3,8,1,6,7]=>[4,5,2,8,3,1,6,7]=>[7,6,1,3,8,2,5,4]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [4,5,2,3,1,8,7,6]=>[4,2,5,8,3,7,1,6]=>[6,1,7,3,8,5,2,4]=>[[1,3,5],[2,4,6],[7,8]]=>11 [6,4,3,1,2,8,7,5]=>[1,4,3,8,2,6,7,5]=>[5,7,6,2,8,3,4,1]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [7,4,3,1,8,2,6,5]=>[4,3,1,7,8,2,6,5]=>[5,6,2,8,7,1,3,4]=>[[1,2,4],[3,5,8],[6,7]]=>15 [8,4,3,1,7,6,2,5]=>[4,8,3,1,7,2,6,5]=>[5,6,2,7,1,3,8,4]=>[[1,2,4,7],[3,6,8],[5]]=>17 [1,5,8,3,7,6,4,2]=>[8,5,7,3,6,4,1,2]=>[2,1,4,6,3,7,5,8]=>[[1,3,4,6,8],[2,5,7]]=>15 [6,5,1,3,2,8,7,4]=>[3,1,2,6,8,5,7,4]=>[4,7,5,8,6,2,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [5,6,1,2,3,8,7,4]=>[1,2,5,8,3,6,7,4]=>[4,7,6,3,8,5,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [4,6,2,1,3,8,7,5]=>[2,1,6,8,4,7,3,5]=>[5,3,7,4,8,6,1,2]=>[[1,3,5],[2,4,6],[7,8]]=>11 [3,2,7,1,8,4,6,5]=>[3,7,2,8,6,1,4,5]=>[5,4,1,6,8,2,7,3]=>[[1,4,5],[2,6,7],[3,8]]=>11 [5,7,1,2,8,3,6,4]=>[5,1,2,7,8,3,6,4]=>[4,6,3,8,7,2,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [8,6,1,7,3,5,2,4]=>[1,8,3,6,2,7,5,4]=>[4,5,7,2,6,3,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [1,6,8,7,3,5,4,2]=>[6,8,3,7,5,4,1,2]=>[2,1,4,5,7,3,8,6]=>[[1,3,4,5,7],[2,6,8]]=>17 [1,7,8,6,5,3,4,2]=>[7,3,8,6,5,4,1,2]=>[2,1,4,5,6,8,3,7]=>[[1,3,4,5,6],[2,7,8]]=>19 [7,8,1,6,5,2,3,4]=>[1,7,2,8,3,6,5,4]=>[4,5,6,3,8,2,7,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [6,8,1,7,2,5,3,4]=>[6,1,8,2,3,7,5,4]=>[4,5,7,3,2,8,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [5,8,1,2,7,6,3,4]=>[8,5,1,2,7,3,6,4]=>[4,6,3,7,2,1,5,8]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [4,8,2,1,7,6,3,5]=>[8,2,4,1,7,6,3,5]=>[5,3,6,7,1,4,2,8]=>[[1,3,4,8],[2,6],[5,7]]=>15 [4,1,2,8,7,6,5,3]=>[8,7,6,1,2,4,5,3]=>[3,5,4,2,1,6,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>13 [6,1,8,7,2,5,4,3]=>[8,1,6,7,5,2,4,3]=>[3,4,2,5,7,6,1,8]=>[[1,2,4,5,8],[3,6],[7]]=>17 [7,1,8,6,5,2,4,3]=>[1,7,8,6,5,2,4,3]=>[3,4,2,5,6,8,7,1]=>[[1,2,4,5,6],[3,7],[8]]=>19 [8,1,7,6,5,4,2,3]=>[1,8,7,6,5,2,4,3]=>[3,4,2,5,6,7,8,1]=>[[1,2,4,5,6,7],[3],[8]]=>21 [3,1,2,6,5,8,7,4]=>[6,8,1,3,5,7,2,4]=>[4,2,7,5,3,1,8,6]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [4,5,1,2,3,8,7,6]=>[1,4,8,2,5,7,3,6]=>[6,3,7,5,2,8,4,1]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [4,6,1,2,3,8,7,5]=>[1,2,6,8,4,7,3,5]=>[5,3,7,4,8,6,2,1]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [1,6,5,3,4,8,7,2]=>[3,6,5,8,4,7,1,2]=>[2,1,7,4,8,5,6,3]=>[[1,3,5,7],[2,4,6],[8]]=>12 [6,1,5,2,4,8,7,3]=>[6,1,5,8,2,4,7,3]=>[3,7,4,2,8,5,1,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [6,5,1,2,3,8,7,4]=>[1,2,3,6,8,5,7,4]=>[4,7,5,8,6,3,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [5,4,1,2,3,8,7,6]=>[1,2,5,8,4,7,3,6]=>[6,3,7,4,8,5,2,1]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [5,4,1,2,7,3,6,8]=>[5,1,4,2,7,3,6,8]=>[8,6,3,7,2,4,1,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [6,4,1,8,2,3,5,7]=>[1,4,2,6,3,8,5,7]=>[7,5,8,3,6,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [7,4,1,2,8,3,6,5]=>[4,1,2,7,8,3,6,5]=>[5,6,3,8,7,2,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [7,5,1,2,8,3,6,4]=>[5,1,2,3,7,8,6,4]=>[4,6,8,7,3,2,1,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [7,1,5,2,8,4,6,3]=>[7,8,1,2,5,4,6,3]=>[3,6,4,5,2,1,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [1,8,5,3,7,4,6,2]=>[5,3,8,4,7,6,1,2]=>[2,1,6,7,4,8,3,5]=>[[1,3,4,6],[2,5,8],[7]]=>15 [8,4,1,2,7,3,6,5]=>[4,8,1,2,7,3,6,5]=>[5,6,3,7,2,1,8,4]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [7,4,1,6,2,3,5,8]=>[1,4,2,7,3,6,5,8]=>[8,5,6,3,7,2,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [8,6,1,7,2,3,5,4]=>[1,2,3,8,6,7,5,4]=>[4,5,7,6,8,3,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>17 [1,8,6,7,3,4,5,2]=>[3,6,4,8,7,5,1,2]=>[2,1,5,7,8,4,6,3]=>[[1,3,4,5],[2,6,7],[8]]=>17 [1,7,6,8,3,4,5,2]=>[3,7,6,4,8,5,1,2]=>[2,1,5,8,4,6,7,3]=>[[1,3,4,7],[2,5,6],[8]]=>16 [3,1,7,2,8,4,6,5]=>[3,1,7,8,6,2,4,5]=>[5,4,2,6,8,7,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [3,1,2,7,8,5,6,4]=>[7,1,8,3,5,6,2,4]=>[4,2,6,5,3,8,1,7]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [4,1,2,8,7,5,6,3]=>[1,8,7,2,4,5,6,3]=>[3,6,5,4,2,7,8,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>12 [3,1,8,2,7,4,6,5]=>[3,8,1,7,6,2,4,5]=>[5,4,2,6,7,1,8,3]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [3,1,7,6,2,4,5,8]=>[1,7,6,3,2,4,5,8]=>[8,5,4,2,3,6,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>9 [4,8,1,6,2,3,5,7]=>[1,4,2,8,3,6,5,7]=>[7,5,6,3,8,2,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [4,8,1,2,7,3,6,5]=>[4,8,1,2,7,6,3,5]=>[5,3,6,7,2,1,8,4]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [5,8,1,2,7,3,6,4]=>[5,8,1,2,7,3,6,4]=>[4,6,3,7,2,1,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [5,1,8,2,7,4,6,3]=>[8,5,1,7,2,4,6,3]=>[3,6,4,2,7,1,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [1,5,8,3,7,4,6,2]=>[5,3,8,7,4,6,1,2]=>[2,1,6,4,7,8,3,5]=>[[1,3,5,6],[2,4,8],[7]]=>14 [1,6,8,7,3,4,5,2]=>[3,8,6,4,7,5,1,2]=>[2,1,5,7,4,6,8,3]=>[[1,3,4,7],[2,5,6],[8]]=>16 [6,8,1,7,2,3,5,4]=>[1,6,8,2,3,7,5,4]=>[4,5,7,3,2,8,6,1]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [6,8,7,1,2,3,4,5]=>[1,2,3,8,6,4,7,5]=>[5,7,4,6,8,3,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [5,8,7,1,2,3,4,6]=>[1,2,3,8,7,5,4,6]=>[6,4,5,7,8,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>15 [7,8,1,6,2,3,5,4]=>[1,2,7,8,3,6,5,4]=>[4,5,6,3,8,7,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [1,7,8,6,3,4,5,2]=>[3,7,4,8,6,5,1,2]=>[2,1,5,6,8,4,7,3]=>[[1,3,4,5],[2,6,7],[8]]=>17 [1,8,7,6,3,4,5,2]=>[3,4,8,7,6,5,1,2]=>[2,1,5,6,7,8,4,3]=>[[1,3,4,5,6],[2,7],[8]]=>18 [8,1,7,6,2,4,5,3]=>[1,8,2,7,6,4,5,3]=>[3,5,4,6,7,2,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>18 [4,2,5,3,7,6,8,1]=>[2,4,5,7,3,6,8,1]=>[1,8,6,3,7,5,4,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [4,2,5,3,6,1,8,7]=>[2,4,5,3,6,8,1,7]=>[7,1,8,6,3,5,4,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [4,2,5,1,6,3,8,7]=>[2,4,1,5,6,8,3,7]=>[7,3,8,6,5,1,4,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>8 [3,1,5,4,6,2,8,7]=>[5,1,3,4,6,8,2,7]=>[7,2,8,6,4,3,1,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [4,1,5,3,6,2,8,7]=>[4,5,1,3,6,8,2,7]=>[7,2,8,6,3,1,5,4]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [4,3,5,1,6,2,8,7]=>[4,3,1,5,6,8,2,7]=>[7,2,8,6,5,1,3,4]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [4,3,5,2,7,1,8,6]=>[4,3,5,7,2,8,1,6]=>[6,1,8,2,7,5,3,4]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [4,3,6,2,7,5,8,1]=>[4,6,3,7,2,5,8,1]=>[1,8,5,2,7,3,6,4]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [4,3,6,2,7,1,8,5]=>[4,6,3,7,2,8,1,5]=>[5,1,8,2,7,3,6,4]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [3,1,5,4,7,2,8,6]=>[5,7,1,3,4,8,2,6]=>[6,2,8,4,3,1,7,5]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [2,1,5,4,7,3,8,6]=>[5,7,2,4,8,1,3,6]=>[6,3,1,8,4,2,7,5]=>[[1,4,7],[2,5,8],[3,6]]=>7 [3,1,5,4,7,6,8,2]=>[5,7,1,3,4,6,8,2]=>[2,8,6,4,3,1,7,5]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [4,3,5,1,7,6,8,2]=>[4,3,7,1,5,6,8,2]=>[2,8,6,5,1,7,3,4]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [4,3,6,5,7,1,8,2]=>[4,6,3,5,1,7,8,2]=>[2,8,7,1,5,3,6,4]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [5,3,6,4,7,2,8,1]=>[3,5,6,4,7,2,8,1]=>[1,8,2,7,4,6,5,3]=>[[1,2,4,6],[3],[5],[7],[8]]=>15 [5,3,6,4,7,1,8,2]=>[3,5,6,4,1,7,8,2]=>[2,8,7,1,4,6,5,3]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [4,1,6,3,7,5,8,2]=>[6,4,7,1,3,5,8,2]=>[2,8,5,3,1,7,4,6]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [3,1,6,4,7,5,8,2]=>[1,6,7,3,4,5,8,2]=>[2,8,5,4,3,7,6,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [2,1,6,4,7,5,8,3]=>[2,6,7,4,5,8,1,3]=>[3,1,8,5,4,7,6,2]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [2,1,6,4,7,3,8,5]=>[2,6,7,4,8,1,3,5]=>[5,3,1,8,4,7,6,2]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [3,1,6,4,7,2,8,5]=>[3,6,7,1,4,8,2,5]=>[5,2,8,4,1,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [4,1,6,3,7,2,8,5]=>[1,4,6,7,3,8,2,5]=>[5,2,8,3,7,6,4,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [5,1,6,3,7,2,8,4]=>[5,3,6,1,2,7,8,4]=>[4,8,7,2,1,6,3,5]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [5,3,6,1,7,2,8,4]=>[3,1,5,6,2,7,8,4]=>[4,8,7,2,6,5,1,3]=>[[1,2],[3,5],[4,8],[6],[7]]=>12 [5,3,6,2,7,4,8,1]=>[3,5,2,6,7,4,8,1]=>[1,8,4,7,6,2,5,3]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [5,2,6,3,7,1,8,4]=>[5,2,3,6,1,7,8,4]=>[4,8,7,1,6,3,2,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [5,2,6,1,7,3,8,4]=>[5,2,6,1,3,7,8,4]=>[4,8,7,3,1,6,2,5]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [4,2,5,1,7,3,8,6]=>[2,4,5,1,7,8,3,6]=>[6,3,8,7,1,5,4,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>9 [4,2,6,1,7,3,8,5]=>[4,2,6,1,7,8,3,5]=>[5,3,8,7,1,6,2,4]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [4,2,6,3,7,1,8,5]=>[4,2,6,7,3,8,1,5]=>[5,1,8,3,7,6,2,4]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [4,2,6,3,7,5,8,1]=>[4,2,6,7,3,5,8,1]=>[1,8,5,3,7,6,2,4]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [3,2,6,4,7,5,8,1]=>[6,3,7,2,4,5,8,1]=>[1,8,5,4,2,7,3,6]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [3,2,6,4,7,1,8,5]=>[6,3,7,2,4,8,1,5]=>[5,1,8,4,2,7,3,6]=>[[1,3,6,8],[2,4],[5,7]]=>10 [3,2,5,1,7,4,8,6]=>[3,5,7,2,8,1,4,6]=>[6,4,1,8,2,7,5,3]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [3,2,5,1,7,6,8,4]=>[3,5,7,2,6,8,1,4]=>[4,1,8,6,2,7,5,3]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [3,2,6,5,7,1,8,4]=>[6,3,5,7,2,8,1,4]=>[4,1,8,2,7,5,3,6]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [4,2,6,5,7,1,8,3]=>[6,2,4,5,1,7,8,3]=>[3,8,7,1,5,4,2,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [4,2,6,1,7,5,8,3]=>[2,4,6,7,1,5,8,3]=>[3,8,5,1,7,6,4,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [4,2,5,1,7,6,8,3]=>[2,4,7,1,5,6,8,3]=>[3,8,6,5,1,7,4,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [4,1,5,2,7,6,8,3]=>[4,7,1,2,5,6,8,3]=>[3,8,6,5,2,1,7,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [3,1,5,2,7,6,8,4]=>[3,7,1,5,6,8,2,4]=>[4,2,8,6,5,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [2,1,5,3,7,6,8,4]=>[5,7,2,6,8,1,3,4]=>[4,3,1,8,6,2,7,5]=>[[1,4,7],[2,5,8],[3,6]]=>7 [2,1,6,3,7,5,8,4]=>[2,6,7,5,8,1,3,4]=>[4,3,1,8,5,7,6,2]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [3,1,6,2,7,5,8,4]=>[3,6,7,1,5,8,2,4]=>[4,2,8,5,1,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [5,1,6,2,7,4,8,3]=>[1,5,6,7,2,4,8,3]=>[3,8,4,2,7,6,5,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [5,2,6,1,7,4,8,3]=>[5,2,6,7,1,4,8,3]=>[3,8,4,1,7,6,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [5,2,6,4,7,1,8,3]=>[5,6,2,4,1,7,8,3]=>[3,8,7,1,4,2,6,5]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [5,4,6,2,7,3,8,1]=>[5,4,2,6,7,3,8,1]=>[1,8,3,7,6,2,4,5]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [5,4,6,1,7,2,8,3]=>[1,5,4,6,2,7,8,3]=>[3,8,7,2,6,4,5,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [5,1,6,4,7,2,8,3]=>[5,6,4,1,2,7,8,3]=>[3,8,7,2,1,4,6,5]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [4,1,6,5,7,2,8,3]=>[6,4,5,1,2,7,8,3]=>[3,8,7,2,1,5,4,6]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [3,1,6,5,7,2,8,4]=>[6,3,5,1,7,8,2,4]=>[4,2,8,7,1,5,3,6]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [2,1,6,5,7,3,8,4]=>[6,5,7,2,8,1,3,4]=>[4,3,1,8,2,7,5,6]=>[[1,4,6,8],[2,5],[3,7]]=>9 [4,1,6,5,7,3,8,2]=>[6,4,5,7,1,3,8,2]=>[2,8,3,1,7,5,4,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [5,4,6,3,7,1,8,2]=>[5,4,6,3,1,7,8,2]=>[2,8,7,1,3,6,4,5]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [8,3,5,2,1,6,4,7]=>[5,3,2,6,1,4,8,7]=>[7,8,4,1,6,2,3,5]=>[[1,2,7,8],[3,5],[4,6]]=>14 [8,6,3,5,2,4,1,7]=>[6,3,2,5,4,1,8,7]=>[7,8,1,4,5,2,3,6]=>[[1,2,5,8],[3,4],[6,7]]=>19 [8,3,7,5,2,4,6,1]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>20 [8,2,4,5,7,3,6,1]=>[8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]=>[[1,2,3,8],[4,6],[5,7]]=>17 [2,4,5,7,3,1,8,6]=>[7,4,5,2,3,8,1,6]=>[6,1,8,3,2,5,4,7]=>[[1,3,6,8],[2,4],[5,7]]=>10 [8,2,4,6,5,3,1,7]=>[6,4,5,2,3,1,8,7]=>[7,8,1,3,2,5,4,6]=>[[1,2,6,8],[3,4],[5,7]]=>16 [8,2,5,4,6,1,3,7]=>[5,4,6,2,1,3,8,7]=>[7,8,3,1,2,6,4,5]=>[[1,2,6,8],[3,5],[4,7]]=>15 [8,6,3,5,1,4,2,7]=>[3,6,1,5,4,2,8,7]=>[7,8,2,4,5,1,6,3]=>[[1,2,5,7],[3,4],[6,8]]=>18 [8,6,1,4,5,3,2,7]=>[4,6,5,1,3,2,8,7]=>[7,8,2,3,1,5,6,4]=>[[1,2,6,7],[3,4],[5,8]]=>17 [8,1,5,6,4,3,2,7]=>[5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]=>[[1,2,6,7],[3,5],[4,8]]=>16 [5,7,4,3,2,1,8,6]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[[1,3,5,6,7,8],[2,4]]=>16 [8,5,7,4,3,2,6,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[[1,2,3,6,7,8],[4,5]]=>23 [4,7,6,3,2,8,1,5]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[[1,3,4,6,7,8],[2,5]]=>17 [1,4,6,7,3,2,8,5]=>[6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]=>[[1,4,6,7],[2,5],[3,8]]=>10 [5,4,7,3,1,8,2,6]=>[5,7,4,3,1,8,2,6]=>[6,2,8,1,3,4,7,5]=>[[1,3,6,7],[2,5],[4,8]]=>15 [1,7,4,5,3,2,8,6]=>[4,7,5,1,3,8,2,6]=>[6,2,8,3,1,5,7,4]=>[[1,3,6,7],[2,4],[5,8]]=>11 [3,7,5,1,4,2,8,6]=>[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>12 [5,7,4,2,1,3,8,6]=>[2,1,7,5,4,8,3,6]=>[6,3,8,4,5,7,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>14 [8,5,7,4,2,1,6,3]=>[2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2]=>[[1,2,3,6],[4,5],[7,8]]=>21 [4,6,3,8,7,1,5,2]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[[1,2,4,7],[3,5,6,8]]=>17 [1,7,4,8,6,3,5,2]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[1,3,4,7],[2,5,6,8]]=>16 [8,4,7,6,3,5,2,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>24 [3,6,5,8,7,4,1,2]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[[1,2,5,7],[3,4,6,8]]=>18 [3,1,5,8,6,7,4,2]=>[5,8,6,7,1,3,4,2]=>[2,4,3,1,7,6,8,5]=>[[1,2,5,7],[3,6],[4,8]]=>13 [4,8,1,6,7,3,5,2]=>[4,8,6,1,7,3,5,2]=>[2,5,3,7,1,6,8,4]=>[[1,2,4,7],[3,6],[5,8]]=>17 [3,6,4,1,8,7,5,2]=>[3,8,1,6,7,4,5,2]=>[2,5,4,7,6,1,8,3]=>[[1,2,4,7],[3,5],[6,8]]=>14 [8,2,6,1,4,7,5,3]=>[2,1,8,6,7,4,5,3]=>[3,5,4,7,6,8,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>16 [2,7,6,8,1,4,3,5]=>[2,1,7,6,8,4,3,5]=>[5,3,4,8,6,7,1,2]=>[[1,3,4,6],[2,5],[7,8]]=>15 [3,7,1,6,4,8,2,5]=>[3,7,1,6,8,4,2,5]=>[5,2,4,8,6,1,7,3]=>[[1,3,4,7],[2,5],[6,8]]=>13 [1,7,3,5,6,8,2,4]=>[5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>12 [1,3,6,7,5,8,2,4]=>[6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>11 [3,7,6,5,8,2,1,4]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[[1,3,4,5,7,8],[2,6]]=>18 [3,6,8,5,7,2,4,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[[1,2,4,5,7,8],[3,6]]=>19 [2,3,5,7,6,8,1,4]=>[7,5,6,8,2,3,1,4]=>[4,1,3,2,8,6,5,7]=>[[1,3,5,8],[2,6],[4,7]]=>11 [2,1,6,5,7,8,3,4]=>[6,5,7,8,2,1,3,4]=>[4,3,1,2,8,7,5,6]=>[[1,4,5,8],[2,6],[3,7]]=>10 [4,2,7,6,8,3,1,5]=>[7,4,6,2,8,3,1,5]=>[5,1,3,8,2,6,4,7]=>[[1,3,4,8],[2,6],[5,7]]=>15 [4,2,6,8,7,3,5,1]=>[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>16 [3,8,2,4,6,7,5,1]=>[8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]=>[[1,2,4,8],[3,5],[6,7]]=>15 [3,7,2,6,4,8,1,5]=>[7,3,2,6,8,4,1,5]=>[5,1,4,8,6,2,3,7]=>[[1,3,4,8],[2,5],[6,7]]=>14 [3,2,6,1,4,7,8,5]=>[6,3,2,7,8,1,4,5]=>[5,4,1,8,7,2,3,6]=>[[1,4,7,8],[2,5],[3,6]]=>8 [5,3,7,2,1,8,4,6]=>[5,3,2,7,1,8,4,6]=>[6,4,8,1,7,2,3,5]=>[[1,3,7,8],[2,5],[4,6]]=>13 [4,7,3,2,1,5,8,6]=>[4,3,2,1,7,8,5,6]=>[6,5,8,7,1,2,3,4]=>[[1,3,7,8],[2,4],[5,6]]=>12 [8,7,6,1,3,4,2,5]=>[3,4,1,2,8,7,6,5]=>[5,6,7,8,2,1,4,3]=>[[1,2,3,4],[5,7],[6,8]]=>20 [8,5,7,3,2,1,6,4]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[1,2,3,5],[4,6,7,8]]=>20 [3,7,8,6,2,1,5,4]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[[1,3,4,5],[2,6,7,8]]=>18 [8,7,6,3,5,2,4,1]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[[1,2,3,4,5,8],[6,7]]=>25 [2,7,4,8,1,6,5,3]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[[1,3,4,6],[2,5,7,8]]=>15 [4,6,8,2,1,7,5,3]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[1,2,4,6],[3,5,7,8]]=>16 [8,4,1,5,7,2,6,3]=>[4,5,8,1,2,7,6,3]=>[3,6,7,2,1,8,5,4]=>[[1,2,3,6],[4,7],[5,8]]=>16 [8,5,3,7,1,6,2,4]=>[3,5,1,8,2,7,6,4]=>[4,6,7,2,8,1,5,3]=>[[1,2,3,5],[4,7],[6,8]]=>19 [8,2,6,7,1,3,5,4]=>[2,1,6,8,7,3,5,4]=>[4,5,3,7,8,6,1,2]=>[[1,2,4,5],[3,6],[7,8]]=>17 [8,3,6,1,7,5,2,4]=>[3,6,1,8,7,2,5,4]=>[4,5,2,7,8,1,6,3]=>[[1,2,4,5],[3,7],[6,8]]=>18 [4,6,1,8,7,2,5,3]=>[4,6,8,1,7,2,5,3]=>[3,5,2,7,1,8,6,4]=>[[1,2,4,6],[3,7],[5,8]]=>15 [8,1,2,5,6,7,4,3]=>[5,6,8,7,1,2,4,3]=>[3,4,2,1,7,8,6,5]=>[[1,2,5,6],[3,7],[4,8]]=>14 [8,2,6,5,7,4,1,3]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[1,2,5,6],[3,4,7,8]]=>20 [2,1,7,8,5,6,4,3]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[[1,3,5,6],[2,4,7,8]]=>14 [8,2,5,7,6,4,3,1]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[[1,2,3,5,6,8],[4,7]]=>21 [2,7,6,8,5,4,1,3]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[[1,3,4,5,6,8],[2,7]]=>19 [1,7,2,5,8,6,4,3]=>[5,7,8,6,1,4,2,3]=>[3,2,4,1,6,8,7,5]=>[[1,3,5,6],[2,7],[4,8]]=>13 [1,7,4,8,2,6,5,3]=>[4,7,8,1,6,5,2,3]=>[3,2,5,6,1,8,7,4]=>[[1,3,4,6],[2,7],[5,8]]=>14 [3,7,8,1,6,5,2,4]=>[3,7,1,8,6,5,2,4]=>[4,2,5,6,8,1,7,3]=>[[1,3,4,5],[2,7],[6,8]]=>17 [2,7,8,6,1,3,5,4]=>[2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]=>[[1,3,4,5],[2,6],[7,8]]=>16 [8,7,6,3,5,1,4,2]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[1,2,3,4,5,7],[6,8]]=>24 [8,4,7,6,5,1,3,2]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[[1,2,3,4,6,7],[5,8]]=>23 [8,7,1,5,6,4,3,2]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[[1,2,3,5,6,7],[4,8]]=>22 [8,1,6,7,5,4,3,2]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[[1,2,4,5,6,7],[3,8]]=>21 [6,5,3,1,2,4,8,7]=>[1,3,2,6,5,8,4,7]=>[7,4,8,5,6,2,3,1]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [4,6,3,5,1,2,8,7]=>[6,4,3,1,5,8,2,7]=>[7,2,8,5,1,3,4,6]=>[[1,3,7,8],[2,4],[5,6]]=>12 [8,5,3,7,2,1,4,6]=>[5,3,2,1,8,4,7,6]=>[6,7,4,8,1,2,3,5]=>[[1,2,4,8],[3,6,7],[5]]=>18 [6,8,1,4,5,7,3,2]=>[1,8,6,4,5,7,3,2]=>[2,3,7,5,4,6,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>18 [2,6,1,4,5,3,8,7]=>[2,4,6,5,8,1,3,7]=>[7,3,1,8,5,6,4,2]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [5,6,3,2,1,4,8,7]=>[5,3,2,1,6,8,4,7]=>[7,4,8,6,1,2,3,5]=>[[1,3,7,8],[2,4],[5,6]]=>12 [5,4,3,6,1,2,8,7]=>[5,4,3,1,6,8,2,7]=>[7,2,8,6,1,3,4,5]=>[[1,3,7,8],[2,4],[5,6]]=>12 [6,3,1,4,5,2,8,7]=>[1,3,4,6,5,8,2,7]=>[7,2,8,5,6,4,3,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [8,3,7,4,5,1,2,6]=>[3,4,1,8,5,2,7,6]=>[6,7,2,5,8,1,4,3]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [5,8,7,4,2,6,3,1]=>[2,8,7,5,4,6,3,1]=>[1,3,6,4,5,7,8,2]=>[[1,2,3,5,6,7],[4],[8]]=>22 [8,1,7,4,2,6,3,5]=>[8,1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [3,7,8,4,5,1,2,6]=>[3,7,4,1,8,5,2,6]=>[6,2,5,8,1,4,7,3]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [5,6,3,8,1,7,2,4]=>[5,3,6,1,8,2,7,4]=>[4,7,2,8,1,6,3,5]=>[[1,2,4],[3,6,8],[5,7]]=>16 [7,6,1,4,5,8,3,2]=>[1,7,6,4,5,8,3,2]=>[2,3,8,5,4,6,7,1]=>[[1,2,3,6,7],[4],[5],[8]]=>18 [3,7,6,4,5,8,2,1]=>[3,7,6,4,5,8,2,1]=>[1,2,8,5,4,6,7,3]=>[[1,2,3,6,7],[4],[5],[8]]=>18 [8,5,7,4,1,6,3,2]=>[5,1,8,4,7,6,3,2]=>[2,3,6,7,4,8,1,5]=>[[1,2,3,4,6],[5,8],[7]]=>22 [5,1,8,4,7,6,2,3]=>[5,8,7,4,1,2,6,3]=>[3,6,2,1,4,7,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>16 [2,5,8,4,7,6,1,3]=>[5,8,7,4,6,2,1,3]=>[3,1,2,6,4,7,8,5]=>[[1,3,4,6,7],[2,5,8]]=>16 [4,1,8,3,5,6,7,2]=>[4,1,3,8,5,6,7,2]=>[2,7,6,5,8,3,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [3,8,4,2,5,6,7,1]=>[3,4,2,5,8,6,7,1]=>[1,7,6,8,5,2,4,3]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [6,5,3,8,4,1,7,2]=>[6,5,3,1,8,4,7,2]=>[2,7,4,8,1,3,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>18 [2,1,5,8,4,6,7,3]=>[8,2,5,4,6,7,1,3]=>[3,1,7,6,4,5,2,8]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [6,4,3,8,2,1,7,5]=>[4,3,6,2,8,1,7,5]=>[5,7,1,8,2,6,3,4]=>[[1,2,4,8],[3,5,6],[7]]=>16 [7,3,8,4,2,6,1,5]=>[3,7,4,8,2,1,6,5]=>[5,6,1,2,8,4,7,3]=>[[1,2,5,7],[3,4,6],[8]]=>18 [8,3,1,2,5,6,7,4]=>[1,8,3,2,5,6,7,4]=>[4,7,6,5,2,3,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [3,1,8,2,5,6,7,4]=>[3,1,8,5,6,7,2,4]=>[4,2,7,6,5,8,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [4,3,8,2,5,6,7,1]=>[4,3,2,8,5,6,7,1]=>[1,7,6,5,8,2,3,4]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [3,8,2,1,5,6,7,4]=>[3,2,5,6,8,7,1,4]=>[4,1,7,8,6,5,2,3]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [8,1,2,3,5,6,7,4]=>[1,2,8,3,5,6,7,4]=>[4,7,6,5,3,8,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>10 [7,8,2,4,3,6,1,5]=>[4,2,3,7,1,8,6,5]=>[5,6,8,1,7,3,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [6,8,3,2,4,1,7,5]=>[3,2,6,4,8,1,7,5]=>[5,7,1,8,4,6,2,3]=>[[1,2,4],[3,5,6],[7,8]]=>16 [2,1,8,3,4,6,7,5]=>[8,2,1,6,7,3,4,5]=>[5,4,3,7,6,1,2,8]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [7,1,8,4,5,3,2,6]=>[4,7,5,3,1,2,8,6]=>[6,8,2,1,3,5,7,4]=>[[1,2,6,7],[3,5],[4,8]]=>16 [8,7,1,4,3,6,2,5]=>[4,8,3,1,2,7,6,5]=>[5,6,7,2,1,3,8,4]=>[[1,2,3,7],[4,6,8],[5]]=>18 [3,8,7,4,2,6,1,5]=>[3,4,8,7,6,2,1,5]=>[5,1,2,6,7,8,4,3]=>[[1,3,4,5,6],[2,7],[8]]=>18 [5,7,8,4,3,6,2,1]=>[7,8,5,4,3,6,2,1]=>[1,2,6,3,4,5,8,7]=>[[1,2,3,5,6,7],[4,8]]=>22 [5,6,3,8,4,2,7,1]=>[5,6,3,8,4,2,7,1]=>[1,7,2,4,8,3,6,5]=>[[1,2,4,5],[3,7],[6,8]]=>18 [4,8,3,6,2,1,7,5]=>[4,6,3,2,8,7,1,5]=>[5,1,7,8,2,3,6,4]=>[[1,3,4,7],[2,5,6],[8]]=>16 [7,5,3,8,2,4,1,6]=>[3,5,2,7,4,1,8,6]=>[6,8,1,4,7,2,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [4,1,3,2,6,8,7,5]=>[4,8,1,3,6,7,2,5]=>[5,2,7,6,3,1,8,4]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [7,5,3,6,2,8,1,4]=>[3,5,2,7,6,1,8,4]=>[4,8,1,6,7,2,5,3]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [5,8,3,2,6,1,7,4]=>[5,8,3,2,1,6,7,4]=>[4,7,6,1,2,3,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>16 [4,5,3,8,6,2,7,1]=>[8,4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4,8]=>[[1,2,4,6,8],[3],[5],[7]]=>16 [3,5,8,4,7,6,2,1]=>[5,8,7,3,4,6,2,1]=>[1,2,6,4,3,7,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>18 [5,8,2,4,7,6,1,3]=>[5,8,2,7,4,1,6,3]=>[3,6,1,4,7,2,8,5]=>[[1,2,5,7],[3,4,8],[6]]=>18 [8,7,5,4,1,6,2,3]=>[5,1,4,2,8,7,6,3]=>[3,6,7,8,2,4,1,5]=>[[1,2,3,4],[5,6,8],[7]]=>22 [2,7,6,4,5,8,1,3]=>[4,7,6,5,8,2,1,3]=>[3,1,2,8,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>16 [7,1,6,4,5,8,2,3]=>[4,7,6,5,1,2,8,3]=>[3,8,2,1,5,6,7,4]=>[[1,2,6,7],[3,5],[4,8]]=>16 [5,7,3,6,1,8,2,4]=>[5,3,7,1,6,2,8,4]=>[4,8,2,6,1,7,3,5]=>[[1,2,6],[3,4,8],[5,7]]=>16 [2,1,7,6,5,8,3,4]=>[7,6,5,8,2,1,3,4]=>[4,3,1,2,8,5,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>12 [6,8,3,5,2,1,7,4]=>[6,3,2,1,8,5,7,4]=>[4,7,5,8,1,2,3,6]=>[[1,2,4,8],[3,6,7],[5]]=>18 [8,1,4,2,5,6,7,3]=>[1,2,4,5,8,6,7,3]=>[3,7,6,8,5,4,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>12 [4,8,1,2,5,6,7,3]=>[1,8,4,2,5,6,7,3]=>[3,7,6,5,2,4,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [3,4,2,8,5,6,7,1]=>[3,8,4,2,5,6,7,1]=>[1,7,6,5,2,4,8,3]=>[[1,2,6,7],[3],[4],[5],[8]]=>12 [2,4,1,8,5,6,7,3]=>[4,2,8,5,6,7,1,3]=>[3,1,7,6,5,8,2,4]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [4,1,2,8,5,6,7,3]=>[1,2,8,4,5,6,7,3]=>[3,7,6,5,4,8,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>10 [7,5,2,4,8,6,1,3]=>[5,2,4,7,1,8,6,3]=>[3,6,8,1,7,4,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [6,5,3,2,8,1,7,4]=>[3,2,6,5,8,1,7,4]=>[4,7,1,8,5,6,2,3]=>[[1,2,4],[3,5,6],[7,8]]=>16 [2,1,5,3,8,6,7,4]=>[8,5,2,6,7,1,3,4]=>[4,3,1,7,6,2,5,8]=>[[1,4,7,8],[2,5],[3,6]]=>8 [6,4,3,5,8,1,7,2]=>[4,3,6,5,8,1,7,2]=>[2,7,1,8,5,6,3,4]=>[[1,2,4],[3,5,6],[7,8]]=>16 [8,3,4,1,5,6,7,2]=>[3,1,4,5,6,8,7,2]=>[2,7,8,6,5,4,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [4,3,1,8,5,6,7,2]=>[1,8,4,3,5,6,7,2]=>[2,7,6,5,3,4,8,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>12 [3,1,4,8,5,6,7,2]=>[1,3,8,4,5,6,7,2]=>[2,7,6,5,4,8,3,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>10 [6,3,7,4,5,8,2,1]=>[6,3,4,7,5,8,2,1]=>[1,2,8,5,7,4,3,6]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [6,7,2,4,5,8,3,1]=>[6,2,4,7,5,8,3,1]=>[1,3,8,5,7,4,2,6]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [5,1,7,4,8,6,3,2]=>[7,5,8,4,6,1,3,2]=>[2,3,1,6,4,8,5,7]=>[[1,2,4,6,8],[3,5,7]]=>16 [2,5,7,4,8,6,3,1]=>[7,5,8,4,6,2,3,1]=>[1,3,2,6,4,8,5,7]=>[[1,2,4,6,8],[3,5,7]]=>16 [5,6,3,7,1,8,4,2]=>[5,3,1,6,7,8,4,2]=>[2,4,8,7,6,1,3,5]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [3,8,7,4,5,2,1,6]=>[3,4,8,7,5,2,1,6]=>[6,1,2,5,7,8,4,3]=>[[1,3,4,5,6],[2],[7],[8]]=>18 [5,6,3,1,8,2,7,4]=>[1,5,3,6,8,2,7,4]=>[4,7,2,8,6,3,5,1]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [4,6,3,5,8,2,7,1]=>[6,4,8,3,5,2,7,1]=>[1,7,2,5,3,8,4,6]=>[[1,2,4,6,8],[3,7],[5]]=>16 [4,6,3,8,1,2,7,5]=>[6,1,8,4,3,7,2,5]=>[5,2,7,3,4,8,1,6]=>[[1,3,5,6],[2,4,8],[7]]=>14 [3,2,5,1,6,8,4,7]=>[3,5,8,2,6,1,4,7]=>[7,4,1,6,2,8,5,3]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [3,6,2,5,4,8,1,7]=>[3,6,5,8,2,4,1,7]=>[7,1,4,2,8,5,6,3]=>[[1,3,5,7],[2,6],[4,8]]=>12 [3,5,8,2,4,7,6,1]=>[5,3,8,7,2,4,6,1]=>[1,6,4,2,7,8,3,5]=>[[1,2,5,6],[3,7,8],[4]]=>15 [5,4,2,1,6,8,3,7]=>[2,1,5,8,4,6,3,7]=>[7,3,6,4,8,5,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [6,3,5,1,4,8,2,7]=>[3,6,1,5,8,4,2,7]=>[7,2,4,8,5,1,6,3]=>[[1,3,4,7],[2,5],[6,8]]=>13 [4,6,1,5,3,8,2,7]=>[6,1,4,5,8,3,2,7]=>[7,2,3,8,5,4,1,6]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [5,1,6,4,3,8,2,7]=>[5,6,4,8,1,3,2,7]=>[7,2,3,1,8,4,6,5]=>[[1,3,5,7],[2,6],[4,8]]=>12 [5,4,3,2,7,1,8,6]=>[5,4,3,7,2,8,1,6]=>[6,1,8,2,7,3,4,5]=>[[1,3,5,7,8],[2,4],[6]]=>13 [5,4,3,8,2,7,6,1]=>[5,8,4,3,7,2,6,1]=>[1,6,2,7,3,4,8,5]=>[[1,2,4,6,7],[3,5,8]]=>17 [4,3,6,2,8,7,5,1]=>[4,6,8,3,7,2,5,1]=>[1,5,2,7,3,8,6,4]=>[[1,2,4,6],[3,5,7],[8]]=>15 [1,4,7,5,8,3,2,6]=>[4,7,8,5,3,1,2,6]=>[6,2,1,3,5,8,7,4]=>[[1,4,5,6],[2,7],[3,8]]=>12 [7,1,3,5,8,4,2,6]=>[5,7,3,4,1,2,8,6]=>[6,8,2,1,4,3,7,5]=>[[1,2,7],[3,5,8],[4,6]]=>13 [7,2,5,8,4,1,3,6]=>[5,7,4,2,1,3,8,6]=>[6,8,3,1,2,4,7,5]=>[[1,2,6,7],[3,5],[4,8]]=>16 [3,5,8,7,1,4,6,2]=>[5,8,7,3,1,4,6,2]=>[2,6,4,1,3,7,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>16 [4,8,3,7,6,5,2,1]=>[8,4,7,6,3,5,2,1]=>[1,2,5,3,6,7,4,8]=>[[1,2,3,5,6,8],[4,7]]=>21 [5,3,8,7,6,4,2,1]=>[8,7,3,5,6,4,2,1]=>[1,2,4,6,5,3,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>21 [7,5,3,1,8,6,4,2]=>[1,3,5,7,8,6,4,2]=>[2,4,6,8,7,5,3,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>18 [1,8,6,5,3,7,4,2]=>[3,6,5,8,7,4,1,2]=>[2,1,4,7,8,5,6,3]=>[[1,3,4,5],[2,6,7],[8]]=>17 [4,6,1,8,7,3,5,2]=>[8,4,6,1,7,3,5,2]=>[2,5,3,7,1,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>16 [6,8,7,3,1,4,5,2]=>[1,3,8,6,4,7,5,2]=>[2,5,7,4,6,8,3,1]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [6,2,8,7,4,5,1,3]=>[8,6,2,7,4,1,5,3]=>[3,5,1,4,7,2,6,8]=>[[1,2,5,8],[3,4,7],[6]]=>19 [7,6,2,8,4,1,3,5]=>[7,6,2,1,4,3,8,5]=>[5,8,3,4,1,2,6,7]=>[[1,2,7,8],[3,4],[5,6]]=>18 [7,3,1,6,8,4,2,5]=>[7,6,1,3,4,2,8,5]=>[5,8,2,4,3,1,6,7]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [1,7,6,4,8,3,2,5]=>[7,6,8,1,4,3,2,5]=>[5,2,3,4,1,8,6,7]=>[[1,3,4,6,8],[2,7],[5]]=>15 [6,5,3,2,8,7,4,1]=>[3,2,6,8,5,7,4,1]=>[1,4,7,5,8,6,2,3]=>[[1,2,3,5],[4,6],[7,8]]=>18 [5,2,7,6,3,1,8,4]=>[7,5,2,3,1,6,8,4]=>[4,8,6,1,3,2,5,7]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [6,5,2,1,7,3,8,4]=>[2,6,1,5,3,7,8,4]=>[4,8,7,3,5,1,6,2]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [5,2,7,4,1,8,3,6]=>[2,5,7,4,1,8,3,6]=>[6,3,8,1,4,7,5,2]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [4,7,2,6,3,1,8,5]=>[4,2,7,6,3,8,1,5]=>[5,1,8,3,6,7,2,4]=>[[1,3,5,6],[2,4],[7,8]]=>14 [2,4,8,6,3,7,5,1]=>[6,4,8,7,2,3,5,1]=>[1,5,3,2,7,8,4,6]=>[[1,2,5,6],[3,7,8],[4]]=>15 [3,8,6,2,4,7,5,1]=>[3,2,6,8,7,4,5,1]=>[1,5,4,7,8,6,2,3]=>[[1,2,4,5],[3,6],[7,8]]=>17 [4,3,7,8,2,1,5,6]=>[7,8,4,3,2,1,5,6]=>[6,5,1,2,3,4,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>14 [7,8,3,6,2,1,5,4]=>[7,3,2,8,1,6,5,4]=>[4,5,6,1,8,2,3,7]=>[[1,2,3,5],[4,6,7,8]]=>20 [8,7,3,6,2,5,4,1]=>[3,8,7,2,6,5,4,1]=>[1,4,5,6,2,7,8,3]=>[[1,2,3,4,6,7],[5,8]]=>23 [4,7,8,2,1,6,5,3]=>[4,2,7,8,6,1,5,3]=>[3,5,1,6,8,7,2,4]=>[[1,2,4,5],[3,6,8],[7]]=>17 [5,4,8,2,7,1,6,3]=>[5,8,4,2,7,1,6,3]=>[3,6,1,7,2,4,8,5]=>[[1,2,4,7],[3,5,6,8]]=>17 [4,8,1,5,7,2,6,3]=>[8,4,1,5,7,2,6,3]=>[3,6,2,7,5,1,4,8]=>[[1,2,4,8],[3,5],[6,7]]=>15 [5,8,3,7,1,6,2,4]=>[8,5,3,1,7,2,6,4]=>[4,6,2,7,1,3,5,8]=>[[1,2,4,8],[3,6,7],[5]]=>18 [5,8,7,2,6,1,3,4]=>[5,2,1,8,7,3,6,4]=>[4,6,3,7,8,1,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>19 [6,2,8,7,5,4,3,1]=>[8,6,7,5,2,4,3,1]=>[1,3,4,2,5,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>21 [6,1,7,2,8,5,4,3]=>[6,7,8,1,5,2,4,3]=>[3,4,2,5,1,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>15 [8,7,4,6,1,5,3,2]=>[8,1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>23 [8,5,7,1,6,4,3,2]=>[8,1,7,5,6,4,3,2]=>[2,3,4,6,5,7,1,8]=>[[1,2,3,4,6,8],[5],[7]]=>22 [6,8,1,7,5,4,3,2]=>[8,6,7,5,1,4,3,2]=>[2,3,4,1,5,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>21 [7,1,8,6,5,4,3,2]=>[7,8,6,5,4,1,3,2]=>[2,3,1,4,5,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>21 [5,4,2,3,7,6,1,8]=>[2,5,4,7,3,6,1,8]=>[8,1,6,3,7,4,5,2]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [6,4,2,7,3,5,1,8]=>[2,4,6,3,7,5,1,8]=>[8,1,5,7,3,6,4,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [3,2,7,6,4,5,1,8]=>[7,6,3,2,4,5,1,8]=>[8,1,5,4,2,3,6,7]=>[[1,3,6,7,8],[2],[4],[5]]=>12 [5,7,6,2,3,4,1,8]=>[2,7,5,3,6,4,1,8]=>[8,1,4,6,3,5,7,2]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [1,6,5,2,3,8,4,7]=>[6,1,5,2,8,3,4,7]=>[7,4,3,8,2,5,1,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [6,8,5,2,3,1,4,7]=>[2,3,1,8,6,5,4,7]=>[7,4,5,6,8,1,3,2]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [7,1,5,2,8,3,4,6]=>[5,1,2,7,3,4,8,6]=>[6,8,4,3,7,2,1,5]=>[[1,2],[3,5],[4,8],[6],[7]]=>12 [1,8,5,2,7,3,4,6]=>[1,8,2,5,3,7,4,6]=>[6,4,7,3,5,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [1,8,6,7,2,3,4,5]=>[1,2,6,3,8,7,4,5]=>[5,4,7,8,3,6,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [8,1,6,7,2,3,4,5]=>[1,2,8,3,6,4,7,5]=>[5,7,4,6,3,8,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [7,1,6,8,2,3,4,5]=>[1,2,7,6,3,4,8,5]=>[5,8,4,3,6,7,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [3,2,1,7,8,4,5,6]=>[7,8,3,2,1,4,5,6]=>[6,5,4,1,2,3,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [3,2,8,7,1,4,5,6]=>[3,2,1,8,7,4,5,6]=>[6,5,4,7,8,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [6,5,8,2,3,1,4,7]=>[2,6,3,1,8,5,4,7]=>[7,4,5,8,1,3,6,2]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [8,5,7,2,1,3,4,6]=>[2,1,3,8,5,4,7,6]=>[6,7,4,5,8,3,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [6,4,2,8,3,1,5,7]=>[4,2,6,3,1,8,5,7]=>[7,5,8,1,3,6,2,4]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [5,4,2,3,8,1,6,7]=>[5,4,2,8,3,1,6,7]=>[7,6,1,3,8,2,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [3,2,5,4,1,8,6,7]=>[3,5,8,2,4,1,6,7]=>[7,6,1,4,2,8,5,3]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [6,4,2,1,3,8,5,7]=>[2,1,4,6,3,8,5,7]=>[7,5,8,3,6,4,1,2]=>[[1,3],[2,5],[4,6],[7,8]]=>11 [8,4,2,1,7,3,5,6]=>[4,2,1,8,3,5,7,6]=>[6,7,5,3,8,1,2,4]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [1,4,2,8,7,3,5,6]=>[1,8,7,4,2,3,5,6]=>[6,5,3,2,4,7,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>9 [1,5,8,2,7,3,4,6]=>[1,5,2,8,7,3,4,6]=>[6,4,3,7,8,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [8,5,1,2,7,3,4,6]=>[1,5,2,3,8,4,7,6]=>[6,7,4,8,3,2,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [7,5,1,2,8,3,4,6]=>[5,1,2,3,7,4,8,6]=>[6,8,4,7,3,2,1,5]=>[[1,2],[3,4],[5,8],[6],[7]]=>13 [4,6,2,1,3,8,5,7]=>[2,6,4,1,8,3,5,7]=>[7,5,3,8,1,4,6,2]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [3,2,6,1,4,8,5,7]=>[6,3,8,2,1,4,5,7]=>[7,5,4,1,2,8,3,6]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [3,2,7,1,8,4,5,6]=>[3,7,2,1,8,4,5,6]=>[6,5,4,8,1,2,7,3]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [4,7,2,1,8,3,5,6]=>[2,4,1,7,3,8,5,6]=>[6,5,8,3,7,1,4,2]=>[[1,3],[2,5],[4,7],[6,8]]=>12 [8,6,1,7,2,3,4,5]=>[1,2,6,3,4,8,7,5]=>[5,7,8,4,3,6,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [1,6,8,7,2,3,4,5]=>[1,2,8,6,3,7,4,5]=>[5,4,7,3,6,8,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>13 [7,8,1,6,2,3,4,5]=>[1,2,7,3,4,8,6,5]=>[5,6,8,4,3,7,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [6,8,1,7,2,3,4,5]=>[1,2,6,3,8,4,7,5]=>[5,7,4,8,3,6,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [3,2,1,8,7,4,5,6]=>[8,7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>10 [5,1,8,2,7,3,4,6]=>[1,5,2,8,3,7,4,6]=>[6,4,7,3,8,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [6,1,8,7,2,3,4,5]=>[1,2,8,6,3,4,7,5]=>[5,7,4,3,6,8,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [8,1,7,6,2,3,4,5]=>[1,2,3,8,7,4,6,5]=>[5,6,4,7,8,3,2,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>16 [1,8,7,6,2,3,4,5]=>[1,2,3,8,7,6,4,5]=>[5,4,6,7,8,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>15 [4,3,5,6,1,2,8,7]=>[4,3,5,1,6,8,2,7]=>[7,2,8,6,1,5,3,4]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [6,3,7,5,1,8,4,2]=>[6,3,7,1,5,8,4,2]=>[2,4,8,5,1,7,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>17 [6,5,2,7,1,8,3,4]=>[6,2,1,5,7,3,8,4]=>[4,8,3,7,5,1,2,6]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [5,7,4,6,2,8,3,1]=>[7,5,4,2,6,8,3,1]=>[1,3,8,6,2,4,5,7]=>[[1,2,3,7,8],[4,6],[5]]=>19 [8,1,4,7,2,6,3,5]=>[4,1,8,7,2,3,6,5]=>[5,6,3,2,7,8,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [3,4,7,8,5,2,1,6]=>[7,3,8,4,5,2,1,6]=>[6,1,2,5,4,8,3,7]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [5,1,4,6,8,2,7,3]=>[5,4,6,8,1,2,7,3]=>[3,7,2,1,8,6,4,5]=>[[1,2,5],[3,6,8],[4,7]]=>12 [2,5,4,6,7,1,8,3]=>[5,4,6,7,2,8,1,3]=>[3,1,8,2,7,6,4,5]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [2,4,6,3,7,5,8,1]=>[6,4,7,2,3,5,8,1]=>[1,8,5,3,2,7,4,6]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [4,1,6,3,8,5,7,2]=>[6,8,4,1,3,5,7,2]=>[2,7,5,3,1,4,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [3,7,4,2,8,6,5,1]=>[3,4,7,8,6,2,5,1]=>[1,5,2,6,8,7,4,3]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [7,4,1,3,5,8,6,2]=>[4,1,3,5,7,8,6,2]=>[2,6,8,7,5,3,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [8,5,3,7,4,1,6,2]=>[5,3,1,8,4,7,6,2]=>[2,6,7,4,8,1,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>20 [7,4,3,8,2,1,6,5]=>[4,7,3,2,8,1,6,5]=>[5,6,1,8,2,3,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>17 [3,1,8,2,7,6,5,4]=>[8,7,3,6,1,5,2,4]=>[4,2,5,1,6,3,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>13 [2,3,8,1,6,7,5,4]=>[2,8,6,7,3,5,1,4]=>[4,1,5,3,7,6,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>12 [4,3,7,2,6,8,5,1]=>[7,4,3,6,8,2,5,1]=>[1,5,2,8,6,3,4,7]=>[[1,2,4,7,8],[3,5],[6]]=>15 [4,7,2,3,8,5,6,1]=>[2,4,7,3,8,5,6,1]=>[1,6,5,8,3,7,4,2]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [3,8,2,1,7,5,6,4]=>[8,3,2,5,7,6,1,4]=>[4,1,6,7,5,2,3,8]=>[[1,3,4,8],[2,5,7],[6]]=>14 [3,8,6,7,2,4,1,5]=>[6,3,2,8,7,4,1,5]=>[5,1,4,7,8,2,3,6]=>[[1,3,4,5],[2,7,8],[6]]=>18 [5,3,8,7,4,2,6,1]=>[8,5,3,7,4,2,6,1]=>[1,6,2,4,7,3,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>19 [4,3,8,7,2,1,6,5]=>[8,7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7,8]=>[[1,3,5,6,7,8],[2,4]]=>16 [7,3,5,8,2,4,1,6]=>[5,7,3,2,4,1,8,6]=>[6,8,1,4,2,3,7,5]=>[[1,2,6,7],[3,4],[5,8]]=>17 [2,3,4,1,8,5,7,6]=>[2,8,3,4,7,1,5,6]=>[6,5,1,7,4,3,8,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [5,3,6,1,8,7,2,4]=>[3,8,1,5,6,2,7,4]=>[4,7,2,6,5,1,8,3]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [2,8,6,5,4,7,1,3]=>[6,5,4,8,7,2,1,3]=>[3,1,2,7,8,4,5,6]=>[[1,3,4,5,8],[2,6,7]]=>18 [5,8,3,6,1,7,2,4]=>[1,8,5,3,6,2,7,4]=>[4,7,2,6,3,5,8,1]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [2,1,8,6,5,7,3,4]=>[6,5,8,7,2,1,3,4]=>[4,3,1,2,7,8,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>13 [2,1,7,5,3,6,8,4]=>[5,2,7,6,8,1,3,4]=>[4,3,1,8,6,7,2,5]=>[[1,4,6],[2,5,8],[3,7]]=>9 [6,7,3,5,2,1,8,4]=>[3,6,2,1,7,5,8,4]=>[4,8,5,7,1,2,6,3]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [2,7,4,1,6,5,8,3]=>[4,7,2,6,5,8,1,3]=>[3,1,8,5,6,2,7,4]=>[[1,3,5,7],[2,4,8],[6]]=>12 [2,4,1,5,8,7,6,3]=>[8,4,7,2,5,6,1,3]=>[3,1,6,5,2,7,4,8]=>[[1,3,6,8],[2,4,7],[5]]=>10 [8,5,2,4,6,1,7,3]=>[5,2,4,1,6,8,7,3]=>[3,7,8,6,1,4,2,5]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [2,1,5,3,6,8,7,4]=>[5,8,2,6,7,1,3,4]=>[4,3,1,7,6,2,8,5]=>[[1,4,7],[2,5,8],[3,6]]=>7 [7,3,5,4,6,1,8,2]=>[5,3,4,1,7,6,8,2]=>[2,8,6,7,1,4,3,5]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [6,3,4,1,5,7,8,2]=>[3,1,4,6,5,7,8,2]=>[2,8,7,5,6,4,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [3,1,4,5,6,8,7,2]=>[8,1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>8 [6,5,2,1,4,3,8,7]=>[2,6,1,5,4,8,3,7]=>[7,3,8,4,5,1,6,2]=>[[1,3,5,7],[2,4],[6,8]]=>12 [6,5,2,7,4,8,3,1]=>[6,2,5,7,4,8,3,1]=>[1,3,8,4,7,5,2,6]=>[[1,2,3,5,8],[4],[6],[7]]=>18 [8,5,2,7,4,1,6,3]=>[8,5,2,1,4,7,6,3]=>[3,6,7,4,1,2,5,8]=>[[1,2,3,8],[4,6,7],[5]]=>19 [8,3,7,5,2,1,6,4]=>[3,2,1,8,7,5,6,4]=>[4,6,5,7,8,1,2,3]=>[[1,2,4,5],[3,7,8],[6]]=>19 [6,3,7,5,2,8,4,1]=>[6,7,3,2,5,8,4,1]=>[1,4,8,5,2,3,7,6]=>[[1,2,3,7],[4,6,8],[5]]=>18 [3,1,6,5,4,2,8,7]=>[6,5,1,3,4,8,2,7]=>[7,2,8,4,3,1,5,6]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [5,6,3,2,4,1,8,7]=>[5,3,2,6,4,8,1,7]=>[7,1,8,4,6,2,3,5]=>[[1,3,5,8],[2,4],[6,7]]=>13 [6,7,2,3,4,8,5,1]=>[2,3,6,4,7,8,5,1]=>[1,5,8,7,4,6,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [8,7,2,3,4,1,6,5]=>[2,3,4,8,1,7,6,5]=>[5,6,7,1,8,4,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [5,1,7,3,8,4,6,2]=>[7,5,1,8,3,4,6,2]=>[2,6,4,3,8,1,5,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [2,1,8,7,4,3,6,5]=>[2,4,8,7,6,1,3,5]=>[5,3,1,6,7,8,4,2]=>[[1,4,5,6],[2,7],[3,8]]=>12 [5,8,3,7,4,2,6,1]=>[5,3,8,7,4,2,6,1]=>[1,6,2,4,7,8,3,5]=>[[1,2,4,5,6],[3,8],[7]]=>20 [3,8,7,4,1,2,6,5]=>[3,1,4,8,7,6,2,5]=>[5,2,6,7,8,4,1,3]=>[[1,3,4,5],[2,6],[7,8]]=>16 [5,8,7,3,2,6,1,4]=>[5,3,8,7,2,1,6,4]=>[4,6,1,2,7,8,3,5]=>[[1,2,5,6],[3,4,7,8]]=>20 [6,8,3,5,2,7,4,1]=>[6,3,2,8,5,7,4,1]=>[1,4,7,5,8,2,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>20 [2,1,5,3,8,7,6,4]=>[8,5,7,2,6,1,3,4]=>[4,3,1,6,2,7,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>9 [6,5,3,2,8,7,1,4]=>[3,2,6,8,5,1,7,4]=>[4,7,1,5,8,6,2,3]=>[[1,2,5],[3,4,6],[7,8]]=>17 [7,5,2,4,8,1,6,3]=>[5,2,4,1,7,8,6,3]=>[3,6,8,7,1,4,2,5]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [3,4,2,8,5,7,6,1]=>[3,8,4,7,2,5,6,1]=>[1,6,5,2,7,4,8,3]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [7,1,6,5,4,8,2,3]=>[7,6,5,4,1,2,8,3]=>[3,8,2,1,4,5,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>17 [5,7,1,6,8,2,4,3]=>[7,5,1,2,6,8,4,3]=>[3,4,8,6,2,1,5,7]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [8,6,2,5,1,7,4,3]=>[2,8,1,6,5,7,4,3]=>[3,4,7,5,6,1,8,2]=>[[1,2,3,5,7],[4,8],[6]]=>19 [5,6,2,1,8,7,3,4]=>[2,8,1,5,6,3,7,4]=>[4,7,3,6,5,1,8,2]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [4,6,2,5,8,3,7,1]=>[4,6,8,2,5,3,7,1]=>[1,7,3,5,2,8,6,4]=>[[1,2,4,6],[3,7],[5,8]]=>15 [7,5,2,6,3,8,1,4]=>[5,2,3,7,6,1,8,4]=>[4,8,1,6,7,3,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>17 [4,1,2,3,6,8,7,5]=>[8,1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [2,4,3,1,8,5,6,7]=>[8,4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>7 [7,5,2,8,3,4,6,1]=>[5,2,3,7,4,8,6,1]=>[1,6,8,4,7,3,2,5]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [4,7,2,8,1,5,3,6]=>[4,2,1,7,8,5,3,6]=>[6,3,5,8,7,1,2,4]=>[[1,3,4],[2,5,8],[6,7]]=>14 [8,7,2,1,4,5,6,3]=>[2,1,8,4,5,7,6,3]=>[3,6,7,5,4,8,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [3,6,8,7,1,5,4,2]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[[1,2,4,5,7],[3,6,8]]=>18 [5,7,8,6,3,4,1,2]=>[7,8,5,3,1,6,4,2]=>[2,4,6,1,3,5,8,7]=>[[1,2,3,7],[4,5,6,8]]=>22 [2,7,8,4,5,3,6,1]=>[7,2,4,8,5,3,6,1]=>[1,6,3,5,8,4,2,7]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [5,7,3,8,1,4,6,2]=>[3,7,5,1,8,4,6,2]=>[2,6,4,8,1,5,7,3]=>[[1,2,4,7],[3,6],[5,8]]=>17 [2,1,5,8,4,6,3,7]=>[8,2,5,4,6,1,3,7]=>[7,3,1,6,4,5,2,8]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [6,5,3,8,4,1,2,7]=>[6,5,3,1,8,4,2,7]=>[7,2,4,8,1,3,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>17 [2,4,8,3,5,6,1,7]=>[4,2,3,8,5,6,1,7]=>[7,1,6,5,8,3,2,4]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [3,4,8,1,7,2,5,6]=>[8,3,1,7,4,2,5,6]=>[6,5,2,4,7,1,3,8]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [8,4,1,3,7,2,6,5]=>[8,4,1,3,7,2,6,5]=>[5,6,2,7,3,1,4,8]=>[[1,2,4,8],[3,5,7],[6]]=>15 [4,3,8,2,5,1,7,6]=>[4,3,2,8,5,7,1,6]=>[6,1,7,5,8,2,3,4]=>[[1,3,5,8],[2,4,7],[6]]=>13 [6,3,8,4,2,5,7,1]=>[3,6,4,2,8,5,7,1]=>[1,7,5,8,2,4,6,3]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [2,1,4,8,3,5,7,6]=>[2,4,8,7,1,3,5,6]=>[6,5,3,1,7,8,4,2]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [4,8,2,3,5,1,6,7]=>[2,4,3,5,1,8,6,7]=>[7,6,8,1,5,3,4,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [2,8,1,3,4,5,7,6]=>[2,8,1,3,4,7,5,6]=>[6,5,7,4,3,1,8,2]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [2,8,4,1,6,5,3,7]=>[2,8,1,6,4,5,3,7]=>[7,3,5,4,6,1,8,2]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [2,8,4,1,6,5,7,3]=>[4,6,2,5,8,7,1,3]=>[3,1,7,8,5,2,6,4]=>[[1,3,4],[2,5,7],[6,8]]=>13 [2,8,7,6,1,4,3,5]=>[2,8,1,7,6,4,3,5]=>[5,3,4,6,7,1,8,2]=>[[1,3,4,5,7],[2,8],[6]]=>17 [7,5,8,6,1,4,2,3]=>[1,5,7,2,8,6,4,3]=>[3,4,6,8,2,7,5,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [3,5,7,2,4,1,6,8]=>[7,5,3,2,4,1,6,8]=>[8,6,1,4,2,3,5,7]=>[[1,4,6,7,8],[2],[3],[5]]=>11 [2,8,5,3,4,1,6,7]=>[2,5,3,4,1,8,6,7]=>[7,6,8,1,4,3,5,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [2,8,7,6,1,4,5,3]=>[2,4,8,7,6,5,1,3]=>[3,1,5,6,7,8,4,2]=>[[1,3,4,5,6],[2,7],[8]]=>18 [2,8,5,3,6,1,7,4]=>[2,5,6,3,8,7,1,4]=>[4,1,7,8,3,6,5,2]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [2,8,5,3,4,6,1,7]=>[2,5,3,4,8,6,1,7]=>[7,1,6,8,4,3,5,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [2,8,5,3,4,6,7,1]=>[2,5,3,4,8,6,7,1]=>[1,7,6,8,4,3,5,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [3,5,7,2,4,6,1,8]=>[7,5,3,2,4,6,1,8]=>[8,1,6,4,2,3,5,7]=>[[1,3,6,7,8],[2],[4],[5]]=>12 [6,5,2,8,3,1,7,4]=>[6,2,5,3,8,1,7,4]=>[4,7,1,8,3,5,2,6]=>[[1,2,4,8],[3,5,6],[7]]=>16 [7,5,8,2,4,6,3,1]=>[2,5,7,4,8,6,3,1]=>[1,3,6,8,4,7,5,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [7,5,8,6,1,4,3,2]=>[1,5,7,8,6,4,3,2]=>[2,3,4,6,8,7,5,1]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [6,5,8,2,1,3,7,4]=>[2,1,6,5,8,3,7,4]=>[4,7,3,8,5,6,1,2]=>[[1,2,4],[3,5,6],[7,8]]=>16 [3,5,6,2,1,8,7,4]=>[5,6,3,8,2,7,1,4]=>[4,1,7,2,8,3,6,5]=>[[1,3,5,7],[2,4,6],[8]]=>12 [3,5,7,6,1,4,8,2]=>[7,5,3,6,1,4,8,2]=>[2,8,4,1,6,3,5,7]=>[[1,2,5,8],[3,6,7],[4]]=>14 [3,5,7,2,4,1,8,6]=>[7,5,3,2,4,8,1,6]=>[6,1,8,4,2,3,5,7]=>[[1,3,6,7,8],[2,4],[5]]=>12 [3,5,7,2,4,6,8,1]=>[7,5,3,2,4,6,8,1]=>[1,8,6,4,2,3,5,7]=>[[1,2,6,7,8],[3],[4],[5]]=>13 [6,5,2,7,3,1,8,4]=>[6,2,5,3,1,7,8,4]=>[4,8,7,1,3,5,2,6]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [4,5,2,6,3,1,7,8]=>[4,2,5,6,3,1,7,8]=>[8,7,1,3,6,5,2,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [6,5,2,7,3,4,8,1]=>[6,2,5,3,7,4,8,1]=>[1,8,4,7,3,5,2,6]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [5,1,2,6,4,8,7,3]=>[5,6,8,1,2,4,7,3]=>[3,7,4,2,1,8,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [5,1,6,8,7,3,4,2]=>[8,5,6,1,7,3,4,2]=>[2,4,3,7,1,6,5,8]=>[[1,2,4,8],[3,6],[5,7]]=>16 [4,1,2,3,8,7,5,6]=>[8,4,1,2,7,3,5,6]=>[6,5,3,7,2,1,4,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [7,1,6,8,4,3,5,2]=>[1,7,6,8,4,3,5,2]=>[2,5,3,4,8,6,7,1]=>[[1,2,4,5,7],[3,6],[8]]=>18 [5,6,8,2,3,1,7,4]=>[5,2,6,3,8,1,7,4]=>[4,7,1,8,3,6,2,5]=>[[1,2,4],[3,5,6],[7,8]]=>16 [7,5,2,8,3,4,1,6]=>[5,2,3,7,4,1,8,6]=>[6,8,1,4,7,3,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [6,5,2,7,3,4,1,8]=>[6,2,5,3,7,4,1,8]=>[8,1,4,7,3,5,2,6]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [5,1,6,8,7,3,2,4]=>[8,5,6,3,1,2,7,4]=>[4,7,2,1,3,6,5,8]=>[[1,2,6,8],[3,5],[4,7]]=>15 [7,1,6,8,4,3,2,5]=>[7,6,4,3,1,2,8,5]=>[5,8,2,1,3,4,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>17 [5,7,8,6,3,4,2,1]=>[7,8,5,3,6,4,2,1]=>[1,2,4,6,3,5,8,7]=>[[1,2,3,4,7],[5,6,8]]=>23 [4,1,8,3,6,5,7,2]=>[1,8,4,6,3,5,7,2]=>[2,7,5,3,6,4,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [3,1,4,8,6,2,7,5]=>[8,1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [3,1,4,8,6,5,2,7]=>[8,1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>10 [7,1,6,5,8,3,2,4]=>[7,6,5,3,1,2,8,4]=>[4,8,2,1,3,5,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>17 [4,1,6,7,8,3,2,5]=>[4,6,1,7,8,3,2,5]=>[5,2,3,8,7,1,6,4]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [4,5,2,6,3,7,1,8]=>[4,2,5,6,3,7,1,8]=>[8,1,7,3,6,5,2,4]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [4,5,2,7,3,8,1,6]=>[4,5,2,7,8,3,1,6]=>[6,1,3,8,7,2,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [3,5,6,2,4,8,7,1]=>[5,6,3,8,2,4,7,1]=>[1,7,4,2,8,3,6,5]=>[[1,2,5,7],[3,6],[4,8]]=>13 [3,5,6,2,4,8,1,7]=>[5,6,3,8,2,4,1,7]=>[7,1,4,2,8,3,6,5]=>[[1,3,5,7],[2,6],[4,8]]=>12 [3,7,5,6,8,4,1,2]=>[5,7,6,8,3,1,4,2]=>[2,4,1,3,8,6,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>18 [3,6,5,2,8,1,7,4]=>[6,5,8,3,2,7,1,4]=>[4,1,7,2,3,8,5,6]=>[[1,3,5,6,8],[2,4,7]]=>14 [6,1,2,5,8,4,7,3]=>[6,8,5,1,2,4,7,3]=>[3,7,4,2,1,5,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [7,1,6,5,8,3,4,2]=>[7,6,5,1,8,3,4,2]=>[2,4,3,8,1,5,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>18 [7,5,2,6,3,8,4,1]=>[5,2,3,7,6,8,4,1]=>[1,4,8,6,7,3,2,5]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [4,1,2,3,5,8,7,6]=>[8,1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [4,5,2,7,3,8,6,1]=>[4,5,2,7,8,3,6,1]=>[1,6,3,8,7,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [4,1,2,6,8,5,7,3]=>[8,6,1,2,4,5,7,3]=>[3,7,5,4,2,1,6,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>10 [7,8,5,6,1,4,3,2]=>[7,1,5,8,6,4,3,2]=>[2,3,4,6,8,5,1,7]=>[[1,2,3,4,5],[6,8],[7]]=>23 [7,8,2,1,6,5,3,4]=>[7,8,2,1,3,6,5,4]=>[4,5,6,3,1,2,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>18 [6,4,1,2,5,7,3,8]=>[1,2,4,6,5,7,3,8]=>[8,3,7,5,6,4,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>10 [4,3,8,1,7,2,5,6]=>[4,1,8,7,3,2,5,6]=>[6,5,2,3,7,8,1,4]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [6,3,1,4,7,2,5,8]=>[1,3,4,6,2,7,5,8]=>[8,5,7,2,6,4,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>10 [7,8,3,5,4,2,1,6]=>[7,3,5,4,2,1,8,6]=>[6,8,1,2,4,5,3,7]=>[[1,2,5,6,8],[3,4],[7]]=>20 [7,8,3,6,5,4,1,2]=>[7,8,3,1,6,5,4,2]=>[2,4,5,6,1,3,8,7]=>[[1,2,3,4,7],[5,6,8]]=>23 [7,8,2,5,6,4,1,3]=>[7,2,8,5,1,6,4,3]=>[3,4,6,1,5,8,2,7]=>[[1,2,3,6],[4,5,8],[7]]=>21 [7,8,1,6,5,4,3,2]=>[7,8,6,5,1,4,3,2]=>[2,3,4,1,5,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>22 [6,2,1,7,5,4,3,8]=>[6,7,2,5,1,4,3,8]=>[8,3,4,1,5,2,7,6]=>[[1,3,5,7],[2,6,8],[4]]=>12 [1,3,8,2,6,4,7,5]=>[8,1,6,3,7,2,4,5]=>[5,4,2,7,3,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [5,3,7,1,6,4,8,2]=>[3,7,1,5,6,4,8,2]=>[2,8,4,6,5,1,7,3]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [5,3,6,2,7,4,1,8]=>[3,5,2,6,7,4,1,8]=>[8,1,4,7,6,2,5,3]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [6,1,2,5,8,7,4,3]=>[6,8,5,7,1,2,4,3]=>[3,4,2,1,7,5,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>13 [6,4,3,7,5,8,1,2]=>[4,3,6,7,5,1,8,2]=>[2,8,1,5,7,6,3,4]=>[[1,2,5],[3,4,8],[6],[7]]=>17 [4,3,8,7,5,6,1,2]=>[8,7,4,3,5,1,6,2]=>[2,6,1,5,3,4,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>18 [2,4,7,1,5,3,6,8]=>[4,2,7,5,1,3,6,8]=>[8,6,3,1,5,7,2,4]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [2,1,7,5,6,8,4,3]=>[5,7,6,8,2,4,1,3]=>[3,1,4,2,8,6,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>12 [3,8,1,7,6,4,5,2]=>[8,7,6,3,1,4,5,2]=>[2,5,4,1,3,6,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>17 [1,8,5,7,3,6,4,2]=>[5,8,3,7,6,4,1,2]=>[2,1,4,6,7,3,8,5]=>[[1,3,4,5,7],[2,6,8]]=>17 [5,6,7,3,8,4,1,2]=>[5,6,3,7,1,8,4,2]=>[2,4,8,1,7,3,6,5]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [4,6,7,5,2,1,3,8]=>[6,7,4,2,1,5,3,8]=>[8,3,5,1,2,4,7,6]=>[[1,3,6,7],[2,5,8],[4]]=>15 [4,5,6,7,2,8,1,3]=>[4,5,6,2,7,1,8,3]=>[3,8,1,7,2,6,5,4]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [1,5,8,6,2,7,3,4]=>[1,5,8,6,2,7,3,4]=>[4,3,7,2,6,8,5,1]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [4,6,5,7,1,2,8,3]=>[6,4,1,5,2,7,8,3]=>[3,8,7,2,5,1,4,6]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [5,1,6,3,4,2,8,7]=>[5,1,6,3,4,8,2,7]=>[7,2,8,4,3,6,1,5]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [5,7,1,4,2,3,8,6]=>[1,7,2,5,4,8,3,6]=>[6,3,8,4,5,2,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [6,3,4,5,8,7,1,2]=>[3,4,6,8,5,1,7,2]=>[2,7,1,5,8,6,4,3]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [6,2,4,1,8,3,7,5]=>[4,2,6,8,1,3,7,5]=>[5,7,3,1,8,6,2,4]=>[[1,2,5],[3,6,8],[4,7]]=>12 [5,1,4,2,7,6,8,3]=>[1,5,7,2,4,6,8,3]=>[3,8,6,4,2,7,5,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [1,6,2,4,7,8,3,5]=>[6,7,8,1,2,4,3,5]=>[5,3,4,2,1,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [5,7,2,4,1,6,3,8]=>[5,2,1,7,4,6,3,8]=>[8,3,6,4,7,1,2,5]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [6,7,5,8,1,4,3,2]=>[1,6,7,5,8,4,3,2]=>[2,3,4,8,5,7,6,1]=>[[1,2,3,4,6],[5],[7],[8]]=>21 [5,8,7,6,3,4,1,2]=>[8,7,5,3,1,6,4,2]=>[2,4,6,1,3,5,7,8]=>[[1,2,3,7,8],[4,5,6]]=>23 [4,1,7,2,6,5,3,8]=>[7,4,6,1,2,5,3,8]=>[8,3,5,2,1,6,4,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [4,8,2,1,5,6,3,7]=>[2,1,4,5,8,6,3,7]=>[7,3,6,8,5,4,1,2]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [4,2,7,8,1,6,3,5]=>[7,4,8,2,1,6,3,5]=>[5,3,6,1,2,8,4,7]=>[[1,3,6,8],[2,5,7],[4]]=>14 [2,1,8,7,6,5,3,4]=>[8,7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>15 [3,1,4,7,8,2,6,5]=>[7,1,8,3,4,6,2,5]=>[5,2,6,4,3,8,1,7]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [4,2,7,1,6,3,8,5]=>[4,7,2,1,6,8,3,5]=>[5,3,8,6,1,2,7,4]=>[[1,3,7],[2,4,8],[5,6]]=>11 [4,8,6,3,5,7,1,2]=>[8,4,3,6,5,1,7,2]=>[2,7,1,5,6,3,4,8]=>[[1,2,5,8],[3,4,7],[6]]=>19 [4,8,1,2,5,3,7,6]=>[1,2,4,5,8,7,3,6]=>[6,3,7,8,5,4,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [3,8,6,5,2,4,1,7]=>[8,6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6,8]=>[[1,3,4,7,8],[2,6],[5]]=>17 [3,8,5,6,1,4,7,2]=>[3,1,8,5,6,4,7,2]=>[2,7,4,6,5,8,1,3]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [5,2,8,7,1,6,4,3]=>[5,8,7,2,6,1,4,3]=>[3,4,1,6,2,7,8,5]=>[[1,2,4,6,7],[3,5,8]]=>17 [3,6,7,8,5,1,4,2]=>[6,7,3,8,5,1,4,2]=>[2,4,1,5,8,3,7,6]=>[[1,2,4,5],[3,6,7],[8]]=>18 [3,7,6,8,5,2,1,4]=>[7,6,8,5,3,2,1,4]=>[4,1,2,3,5,8,6,7]=>[[1,3,4,5,6,8],[2,7]]=>19 [3,7,1,6,4,2,5,8]=>[3,7,1,6,4,2,5,8]=>[8,5,2,4,6,1,7,3]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [3,8,7,6,5,4,1,2]=>[8,7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>22 [2,8,1,6,4,5,3,7]=>[8,6,2,1,4,5,3,7]=>[7,3,5,4,1,2,6,8]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [2,8,7,5,1,4,3,6]=>[2,8,7,1,5,4,3,6]=>[6,3,4,5,1,7,8,2]=>[[1,3,4,6,7],[2,8],[5]]=>16 [2,7,8,6,5,4,1,3]=>[7,8,6,5,4,2,1,3]=>[3,1,2,4,5,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>20 [6,3,1,2,7,4,8,5]=>[1,3,6,2,4,7,8,5]=>[5,8,7,4,2,6,3,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>10 [6,4,2,7,1,3,8,5]=>[2,4,1,6,3,7,8,5]=>[5,8,7,3,6,1,4,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>13 [7,4,2,5,1,3,8,6]=>[2,4,1,5,3,7,8,6]=>[6,8,7,3,5,1,4,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>13 [7,3,6,2,4,8,1,5]=>[3,2,7,4,6,1,8,5]=>[5,8,1,6,4,7,2,3]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [4,3,7,1,2,5,8,6]=>[1,7,4,3,8,2,5,6]=>[6,5,2,8,3,4,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [3,6,2,7,1,4,8,5]=>[3,6,2,1,7,8,4,5]=>[5,4,8,7,1,2,6,3]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [5,3,6,7,1,2,8,4]=>[3,5,1,6,2,7,8,4]=>[4,8,7,2,6,1,5,3]=>[[1,2],[3,5],[4,7],[6],[8]]=>13 [8,6,4,2,3,7,1,5]=>[2,4,3,6,1,8,7,5]=>[5,7,8,1,6,3,4,2]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [4,7,6,3,8,1,2,5]=>[7,6,4,1,8,3,2,5]=>[5,2,3,8,1,4,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>17 [3,7,6,1,4,8,2,5]=>[1,3,7,6,8,4,2,5]=>[5,2,4,8,6,7,3,1]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [5,7,2,6,1,8,3,4]=>[2,5,7,1,6,3,8,4]=>[4,8,3,6,1,7,5,2]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [6,4,7,5,2,8,1,3]=>[4,6,2,7,5,1,8,3]=>[3,8,1,5,7,2,6,4]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [7,4,8,5,2,6,1,3]=>[7,4,2,5,1,8,6,3]=>[3,6,8,1,5,2,4,7]=>[[1,2,3,8],[4,5,7],[6]]=>20 [5,8,2,6,3,7,1,4]=>[2,8,5,3,6,1,7,4]=>[4,7,1,6,3,5,8,2]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [3,8,6,1,2,7,4,5]=>[1,3,6,2,8,7,4,5]=>[5,4,7,8,2,6,3,1]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [3,8,6,2,4,7,1,5]=>[3,2,6,8,7,4,1,5]=>[5,1,4,7,8,6,2,3]=>[[1,3,4,5],[2,6],[7,8]]=>16 [6,8,4,3,7,1,2,5]=>[6,4,1,8,3,2,7,5]=>[5,7,2,3,8,1,4,6]=>[[1,2,5,8],[3,4,7],[6]]=>19 [3,8,5,7,1,2,4,6]=>[1,8,7,3,2,5,4,6]=>[6,4,5,2,3,7,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [4,8,6,2,7,1,3,5]=>[6,4,2,1,8,7,3,5]=>[5,3,7,8,1,2,4,6]=>[[1,3,4,8],[2,6,7],[5]]=>17 [6,3,7,5,8,1,2,4]=>[6,7,3,1,5,2,8,4]=>[4,8,2,5,1,3,7,6]=>[[1,2,7],[3,4,8],[5,6]]=>17 [2,7,6,4,8,1,3,5]=>[7,2,6,1,8,4,3,5]=>[5,3,4,8,1,6,2,7]=>[[1,3,4,8],[2,6],[5,7]]=>15 [2,6,5,8,1,3,4,7]=>[6,2,1,8,5,3,4,7]=>[7,4,3,5,8,1,2,6]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [2,5,7,4,8,1,3,6]=>[7,5,8,4,2,1,3,6]=>[6,3,1,2,4,8,5,7]=>[[1,4,5,6,8],[2,7],[3]]=>13 [5,4,6,7,2,8,1,3]=>[5,4,6,2,7,1,8,3]=>[3,8,1,7,2,6,4,5]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [4,6,3,7,1,8,2,5]=>[6,4,7,3,1,8,2,5]=>[5,2,8,1,3,7,4,6]=>[[1,3,6,8],[2,5],[4,7]]=>14 [3,5,7,1,4,8,2,6]=>[3,7,5,8,1,4,2,6]=>[6,2,4,1,8,5,7,3]=>[[1,3,5,7],[2,6],[4,8]]=>12 [5,3,7,2,4,8,1,6]=>[5,3,2,7,8,4,1,6]=>[6,1,4,8,7,2,3,5]=>[[1,3,4,8],[2,5],[6,7]]=>14 [8,4,6,3,7,1,2,5]=>[4,3,1,8,6,2,7,5]=>[5,7,2,6,8,1,3,4]=>[[1,2,5],[3,4,8],[6,7]]=>19 [8,4,1,6,7,2,3,5]=>[4,1,8,2,6,3,7,5]=>[5,7,3,6,2,8,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [7,4,1,6,8,2,3,5]=>[7,4,1,2,6,3,8,5]=>[5,8,3,6,2,1,4,7]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [5,4,1,7,8,2,3,6]=>[5,4,1,7,2,8,3,6]=>[6,3,8,2,7,1,4,5]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [6,5,3,7,1,8,2,4]=>[3,1,6,5,7,2,8,4]=>[4,8,2,7,5,6,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [6,5,1,2,7,8,3,4]=>[6,1,2,5,7,3,8,4]=>[4,8,3,7,5,2,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [5,3,6,4,7,8,1,2]=>[3,5,6,4,7,1,8,2]=>[2,8,1,7,4,6,5,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [6,3,7,4,8,5,1,2]=>[6,3,4,7,1,8,5,2]=>[2,5,8,1,7,4,3,6]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [7,5,3,8,1,6,2,4]=>[3,1,5,7,2,8,6,4]=>[4,6,8,2,7,5,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [7,4,1,8,6,2,3,5]=>[4,1,7,2,8,3,6,5]=>[5,6,3,8,2,7,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [8,6,1,7,5,2,3,4]=>[1,8,2,6,3,7,5,4]=>[4,5,7,3,6,2,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [6,4,7,8,2,5,1,3]=>[4,6,2,7,1,8,5,3]=>[3,5,8,1,7,2,6,4]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [6,3,7,8,5,1,2,4]=>[6,7,1,8,3,2,5,4]=>[4,5,2,3,8,1,7,6]=>[[1,2,5],[3,4,7],[6,8]]=>18 [4,3,8,7,1,2,5,6]=>[1,8,7,4,3,2,5,6]=>[6,5,2,3,4,7,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>14 [5,3,8,7,1,2,4,6]=>[1,8,5,3,2,7,4,6]=>[6,4,7,2,3,5,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [2,5,8,7,1,3,4,6]=>[2,1,8,7,5,3,4,6]=>[6,4,3,5,7,8,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [4,6,8,2,7,1,3,5]=>[8,6,4,2,1,7,3,5]=>[5,3,7,1,2,4,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>16 [4,7,1,8,6,2,3,5]=>[4,1,7,2,8,6,3,5]=>[5,3,6,8,2,7,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [6,8,4,7,5,1,2,3]=>[6,1,8,4,2,7,5,3]=>[3,5,7,2,4,8,1,6]=>[[1,2,3,6],[4,5,8],[7]]=>21 [2,8,7,6,1,3,4,5]=>[2,1,3,8,7,6,4,5]=>[5,4,6,7,8,3,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [4,8,7,6,1,2,3,5]=>[1,2,8,7,6,4,3,5]=>[5,3,4,6,7,8,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>18 [6,7,1,4,5,8,2,3]=>[6,1,7,4,5,2,8,3]=>[3,8,2,5,4,7,1,6]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [5,7,3,8,1,2,6,4]=>[5,1,7,3,8,2,6,4]=>[4,6,2,8,3,7,1,5]=>[[1,2,4],[3,5,6],[7,8]]=>16 [6,5,3,1,8,4,7,2]=>[6,1,5,3,8,4,7,2]=>[2,7,4,8,3,5,1,6]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [6,4,3,8,1,5,7,2]=>[4,3,6,1,8,5,7,2]=>[2,7,5,8,1,6,3,4]=>[[1,2,4],[3,6,8],[5,7]]=>16 [8,7,1,4,2,6,5,3]=>[8,1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1,8]=>[[1,2,3,5,8],[4],[6],[7]]=>18 [2,3,4,5,6,7,8,9,10,1]=>[2,3,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>9 [3,4,5,6,7,8,9,10,1,2]=>[3,4,5,6,7,8,9,1,10,2]=>[2,10,1,9,8,7,6,5,4,3]=>[[1,2],[3,4],[5],[6],[7],[8],[9],[10]]=>16 [3,6,4,5,7,2,8,1]=>[3,6,4,5,7,2,8,1]=>[1,8,2,7,5,4,6,3]=>[[1,2,4,7],[3],[5],[6],[8]]=>14 [6,3,2,5,1,8,4,7]=>[3,6,2,5,1,8,4,7]=>[7,4,8,1,5,2,6,3]=>[[1,3,7],[2,5,8],[4,6]]=>12 [8,2,6,3,4,7,1,5]=>[2,3,4,8,6,1,7,5]=>[5,7,1,6,8,4,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [7,2,6,3,4,5,8,1]=>[2,3,7,4,6,5,8,1]=>[1,8,5,6,4,7,3,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>15 [6,2,7,3,4,5,8,1]=>[2,6,3,4,7,5,8,1]=>[1,8,5,7,4,3,6,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [3,6,2,7,4,5,8,1]=>[3,6,2,7,4,5,8,1]=>[1,8,5,4,7,2,6,3]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [4,2,5,7,3,6,8,1]=>[7,2,4,5,3,6,8,1]=>[1,8,6,3,5,4,2,7]=>[[1,2,5,8],[3],[4],[6],[7]]=>12 [5,4,7,6,2,3,8,1]=>[5,7,4,2,6,3,8,1]=>[1,8,3,6,2,4,7,5]=>[[1,2,4,7],[3,6,8],[5]]=>17 [6,7,3,5,2,4,8,1]=>[3,6,2,7,5,4,8,1]=>[1,8,4,5,7,2,6,3]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [2,7,6,3,4,5,8,1]=>[2,3,7,6,4,5,8,1]=>[1,8,5,4,6,7,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>14 [6,5,3,1,2,8,4,7]=>[1,3,6,5,2,8,4,7]=>[7,4,8,2,5,6,3,1]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [8,5,2,1,7,3,4,6]=>[5,2,1,3,8,4,7,6]=>[6,7,4,8,3,1,2,5]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [7,5,2,1,8,3,4,6]=>[2,5,1,3,7,4,8,6]=>[6,8,4,7,3,1,5,2]=>[[1,2],[3,4],[5,7],[6,8]]=>14 [5,6,2,3,1,8,4,7]=>[2,5,3,6,1,8,4,7]=>[7,4,8,1,6,3,5,2]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [4,2,6,5,1,8,3,7]=>[6,2,4,5,1,8,3,7]=>[7,3,8,1,5,4,2,6]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [6,8,3,5,2,7,1,4]=>[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[[1,2,5,8],[3,4,7],[6]]=>19 [7,8,5,2,3,6,1,4]=>[2,3,7,5,1,8,6,4]=>[4,6,8,1,5,7,3,2]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [6,8,2,1,7,3,4,5]=>[6,2,1,3,8,4,7,5]=>[5,7,4,8,3,1,2,6]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [1,8,6,3,7,2,4,5]=>[6,3,1,2,8,7,4,5]=>[5,4,7,8,2,1,3,6]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [1,8,2,7,3,4,5,6]=>[1,2,3,8,4,7,5,6]=>[6,5,7,4,8,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>10 [2,8,1,7,3,4,5,6]=>[2,1,3,8,4,7,5,6]=>[6,5,7,4,8,3,1,2]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [3,8,6,1,7,2,4,5]=>[3,1,6,2,8,7,4,5]=>[5,4,7,8,2,6,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [4,8,1,5,7,2,3,6]=>[8,4,1,2,7,5,3,6]=>[6,3,5,7,2,1,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [4,2,8,3,7,1,5,6]=>[4,2,8,7,3,1,5,6]=>[6,5,1,3,7,8,2,4]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [1,7,3,8,2,4,5,6]=>[7,1,3,2,4,8,5,6]=>[6,5,8,4,2,3,1,7]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [8,1,2,7,3,4,5,6]=>[1,2,3,8,4,5,7,6]=>[6,7,5,4,8,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>11 [3,6,2,7,1,8,4,5]=>[3,6,2,7,1,8,4,5]=>[5,4,8,1,7,2,6,3]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [6,3,7,1,2,8,4,5]=>[1,6,3,7,2,4,8,5]=>[5,8,4,2,7,3,6,1]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [7,2,6,1,8,3,4,5]=>[7,2,1,6,3,4,8,5]=>[5,8,4,3,6,1,2,7]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [7,3,1,5,8,2,4,6]=>[3,5,1,7,2,4,8,6]=>[6,8,4,2,7,1,5,3]=>[[1,2],[3,5],[4,7],[6,8]]=>13 [3,2,1,5,8,4,6,7]=>[8,3,2,5,1,4,6,7]=>[7,6,4,1,5,2,3,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [5,4,1,3,6,8,2,7]=>[5,1,4,8,3,6,2,7]=>[7,2,6,3,8,4,1,5]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [1,5,3,4,6,8,2,7]=>[3,5,8,4,6,1,2,7]=>[7,2,1,6,4,8,5,3]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [4,3,5,1,6,8,2,7]=>[4,3,8,1,5,6,2,7]=>[7,2,6,5,1,8,3,4]=>[[1,3,6],[2,7,8],[4],[5]]=>10 [3,6,4,5,8,7,1,2]=>[3,6,8,4,5,1,7,2]=>[2,7,1,5,4,8,6,3]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [6,5,3,4,8,7,1,2]=>[3,6,5,8,4,1,7,2]=>[2,7,1,4,8,5,6,3]=>[[1,2,5,7],[3,4,6],[8]]=>18 [5,3,2,8,7,1,4,6]=>[8,3,5,2,1,7,4,6]=>[6,4,7,1,2,5,3,8]=>[[1,3,6,8],[2,5],[4,7]]=>14 [5,3,1,8,7,2,4,6]=>[8,3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3,8]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [8,5,3,7,6,1,2,4]=>[8,3,1,5,2,7,6,4]=>[4,6,7,2,5,1,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>20 [6,1,8,3,7,2,4,5]=>[1,6,8,3,2,4,7,5]=>[5,7,4,2,3,8,6,1]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [6,3,8,1,7,2,4,5]=>[6,1,8,3,2,4,7,5]=>[5,7,4,2,3,8,1,6]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [7,6,8,2,3,5,1,4]=>[2,3,7,6,1,8,5,4]=>[4,5,8,1,6,7,3,2]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [6,7,3,8,2,5,1,4]=>[3,6,2,7,1,8,5,4]=>[4,5,8,1,7,2,6,3]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [3,7,8,1,6,2,4,5]=>[3,1,7,2,8,6,4,5]=>[5,4,6,8,2,7,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [2,3,8,7,1,4,5,6]=>[2,3,1,8,7,4,5,6]=>[6,5,4,7,8,1,3,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [7,2,8,6,1,3,4,5]=>[2,1,7,3,8,4,6,5]=>[5,6,4,8,3,7,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [2,1,8,7,3,4,5,6]=>[2,1,3,8,7,4,5,6]=>[6,5,4,7,8,3,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [8,2,7,6,1,3,4,5]=>[2,1,3,8,7,4,6,5]=>[5,6,4,7,8,3,1,2]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [1,2,8,7,3,4,5,6]=>[1,2,3,8,7,4,5,6]=>[6,5,4,7,8,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>9 [4,1,5,8,7,2,3,6]=>[8,7,4,1,2,5,3,6]=>[6,3,5,2,1,4,7,8]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [5,4,8,7,6,1,2,3]=>[8,5,1,7,4,2,6,3]=>[3,6,2,4,7,1,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>19 [8,1,6,7,3,2,4,5]=>[8,1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [8,1,5,3,7,2,4,6]=>[1,5,8,3,2,4,7,6]=>[6,7,4,2,3,8,5,1]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [7,5,8,3,6,2,4,1]=>[5,3,7,2,8,6,4,1]=>[1,4,6,8,2,7,3,5]=>[[1,2,3,4],[5,6,8],[7]]=>22 [7,4,8,3,2,6,5,1]=>[7,4,3,8,2,6,5,1]=>[1,5,6,2,8,3,4,7]=>[[1,2,3,5,8],[4,6,7]]=>20 [7,4,1,3,2,6,5,8]=>[4,1,3,7,2,6,5,8]=>[8,5,6,2,7,3,1,4]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [8,1,4,3,2,7,5,6]=>[4,8,3,1,2,5,7,6]=>[6,7,5,2,1,3,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [8,1,4,3,2,7,6,5]=>[4,8,3,7,1,2,6,5]=>[5,6,2,1,7,3,8,4]=>[[1,2,5,7],[3,6,8],[4]]=>13 [8,1,5,3,6,2,7,4]=>[3,5,1,2,8,6,7,4]=>[4,7,6,8,2,1,5,3]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [8,1,4,3,2,6,7,5]=>[4,8,3,1,2,6,7,5]=>[5,7,6,2,1,3,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [8,1,4,3,2,5,6,7]=>[4,3,1,2,5,6,8,7]=>[7,8,6,5,2,1,3,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [7,4,1,3,2,5,6,8]=>[4,1,3,2,5,7,6,8]=>[8,6,7,5,2,3,1,4]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [6,4,3,8,2,5,7,1]=>[4,6,3,2,8,5,7,1]=>[1,7,5,8,2,3,6,4]=>[[1,2,4,7],[3,6],[5,8]]=>17 [6,4,3,1,2,5,8,7]=>[1,4,3,2,6,8,5,7]=>[7,5,8,6,2,3,4,1]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [7,4,1,3,2,5,8,6]=>[4,1,3,2,5,7,8,6]=>[6,8,7,5,2,3,1,4]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [7,5,1,3,6,2,8,4]=>[3,5,1,2,7,6,8,4]=>[4,8,6,7,2,1,5,3]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [7,4,8,3,2,6,1,5]=>[7,4,3,8,2,1,6,5]=>[5,6,1,2,8,3,4,7]=>[[1,2,5,7,8],[3,4,6]]=>19 [7,4,8,3,2,5,1,6]=>[7,4,3,2,5,1,8,6]=>[6,8,1,5,2,3,4,7]=>[[1,2,6,7,8],[3,4],[5]]=>18 [6,4,3,8,2,5,1,7]=>[4,6,3,2,8,5,1,7]=>[7,1,5,8,2,3,6,4]=>[[1,3,4,7],[2,6],[5,8]]=>16 [6,4,3,7,2,5,8,1]=>[4,3,6,2,7,5,8,1]=>[1,8,5,7,2,6,3,4]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [5,4,3,2,8,6,1,7]=>[5,4,8,3,2,6,1,7]=>[7,1,6,2,3,8,4,5]=>[[1,3,5,6,8],[2,7],[4]]=>14 [5,4,3,2,8,7,1,6]=>[5,4,8,3,7,2,1,6]=>[6,1,2,7,3,8,4,5]=>[[1,3,4,6,8],[2,5,7]]=>15 [6,5,3,8,7,2,1,4]=>[3,6,8,5,2,1,7,4]=>[4,7,1,2,5,8,6,3]=>[[1,2,5,6],[3,4,7],[8]]=>19 [6,5,4,8,7,1,2,3]=>[6,5,1,8,4,2,7,3]=>[3,7,2,4,8,1,5,6]=>[[1,2,5,8],[3,4,7],[6]]=>19 [6,5,4,1,7,8,2,3]=>[6,1,5,4,7,2,8,3]=>[3,8,2,7,4,5,1,6]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [6,4,3,1,2,7,8,5]=>[1,4,3,2,6,7,8,5]=>[5,8,7,6,2,3,4,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [6,5,4,1,8,7,2,3]=>[6,1,5,8,4,2,7,3]=>[3,7,2,4,8,5,1,6]=>[[1,2,5,8],[3,4,6],[7]]=>17 [7,5,1,4,8,6,2,3]=>[5,4,7,1,2,8,6,3]=>[3,6,8,2,1,7,4,5]=>[[1,2,3],[4,6,8],[5,7]]=>17 [7,4,1,3,2,8,5,6]=>[4,1,3,7,2,5,8,6]=>[6,8,5,2,7,3,1,4]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [6,4,3,1,2,8,5,7]=>[1,4,3,6,2,8,5,7]=>[7,5,8,2,6,3,4,1]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [6,4,3,1,2,7,5,8]=>[1,4,3,2,6,7,5,8]=>[8,5,7,6,2,3,4,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [6,5,3,8,7,2,4,1]=>[3,6,8,5,2,7,4,1]=>[1,4,7,2,5,8,6,3]=>[[1,2,3,6],[4,5,7],[8]]=>20 [7,5,1,3,8,2,4,6]=>[3,5,1,2,7,4,8,6]=>[6,8,4,7,2,1,5,3]=>[[1,2],[3,4],[5,7],[6,8]]=>14 [7,6,1,8,3,2,4,5]=>[7,1,3,2,6,4,8,5]=>[5,8,4,6,2,3,1,7]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [7,6,1,8,4,5,2,3]=>[7,6,4,1,2,8,5,3]=>[3,5,8,2,1,4,6,7]=>[[1,2,3,8],[4,6,7],[5]]=>19 [7,6,8,1,4,5,2,3]=>[7,6,1,4,2,8,5,3]=>[3,5,8,2,4,1,6,7]=>[[1,2,3,8],[4,5,7],[6]]=>20 [6,4,3,7,2,8,5,1]=>[4,3,6,2,7,8,5,1]=>[1,5,8,7,2,6,3,4]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [6,4,3,7,2,1,5,8]=>[4,3,6,2,1,7,5,8]=>[8,5,7,1,2,6,3,4]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [7,4,8,3,2,1,5,6]=>[7,4,3,2,1,5,8,6]=>[6,8,5,1,2,3,4,7]=>[[1,2,6,7,8],[3,5],[4]]=>17 [7,4,8,3,2,1,6,5]=>[7,4,3,2,8,1,6,5]=>[5,6,1,8,2,3,4,7]=>[[1,2,4,7,8],[3,5,6]]=>18 [7,5,8,4,1,6,2,3]=>[1,5,7,4,2,8,6,3]=>[3,6,8,2,4,7,5,1]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [6,5,4,8,1,7,2,3]=>[6,5,4,1,8,2,7,3]=>[3,7,2,8,1,4,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>18 [6,5,3,8,1,2,7,4]=>[3,1,6,5,8,2,7,4]=>[4,7,2,8,5,6,1,3]=>[[1,2,4],[3,5,6],[7,8]]=>16 [5,4,3,2,8,1,7,6]=>[5,4,8,3,2,7,1,6]=>[6,1,7,2,3,8,4,5]=>[[1,3,5,6,8],[2,4,7]]=>14 [6,4,3,7,2,1,8,5]=>[4,3,6,2,1,7,8,5]=>[5,8,7,1,2,6,3,4]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [6,5,3,7,1,2,8,4]=>[3,1,6,5,2,7,8,4]=>[4,8,7,2,5,6,1,3]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [6,5,3,7,8,2,1,4]=>[3,6,5,7,2,1,8,4]=>[4,8,1,2,7,5,6,3]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [6,4,3,7,2,8,1,5]=>[4,3,6,2,7,1,8,5]=>[5,8,1,7,2,6,3,4]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [5,4,3,2,7,8,1,6]=>[5,4,3,7,8,2,1,6]=>[6,1,2,8,7,3,4,5]=>[[1,3,4,7,8],[2,5],[6]]=>14 [5,4,3,2,6,8,1,7]=>[5,4,3,8,2,6,1,7]=>[7,1,6,2,8,3,4,5]=>[[1,3,5,7,8],[2,6],[4]]=>13 [5,6,2,1,3,4,8,7]=>[2,1,5,3,6,8,4,7]=>[7,4,8,6,3,5,1,2]=>[[1,3],[2,4],[5,6],[7,8]]=>10 [5,3,7,8,2,1,4,6]=>[5,7,3,2,1,8,4,6]=>[6,4,8,1,2,3,7,5]=>[[1,3,6,7],[2,5],[4,8]]=>15 [7,6,1,2,5,8,3,4]=>[7,6,1,2,5,3,8,4]=>[4,8,3,5,2,1,6,7]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [2,1,7,8,4,3,5,6]=>[2,1,7,8,4,3,5,6]=>[6,5,3,4,8,7,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [7,8,1,2,5,4,6,3]=>[7,5,1,2,4,8,6,3]=>[3,6,8,4,2,1,5,7]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [2,6,8,3,1,4,7,5]=>[2,6,3,8,1,7,4,5]=>[5,4,7,1,8,3,6,2]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [8,4,1,3,7,6,2,5]=>[8,4,7,1,3,2,6,5]=>[5,6,2,3,1,7,4,8]=>[[1,2,6,8],[3,4,7],[5]]=>16 [6,5,2,1,8,7,4,3]=>[2,6,8,1,5,7,4,3]=>[3,4,7,5,1,8,6,2]=>[[1,2,3,6],[4,7],[5,8]]=>16 [7,3,8,6,1,2,5,4]=>[1,7,3,8,6,2,5,4]=>[4,5,2,6,8,3,7,1]=>[[1,2,4,5],[3,6,7],[8]]=>18 [3,4,7,1,8,2,6,5]=>[3,7,4,8,1,6,2,5]=>[5,2,6,1,8,4,7,3]=>[[1,3,5],[2,6,7],[4,8]]=>12 [1,8,2,4,3,5,6,7]=>[4,1,2,3,5,8,6,7]=>[7,6,8,5,3,2,1,4]=>[[1,3],[2,8],[4],[5],[6],[7]]=>7 [1,7,2,4,3,5,6,8]=>[4,1,2,3,7,5,6,8]=>[8,6,5,7,3,2,1,4]=>[[1,4],[2,8],[3],[5],[6],[7]]=>6 [1,6,2,4,3,5,7,8]=>[6,1,2,4,3,5,7,8]=>[8,7,5,3,4,2,1,6]=>[[1,5,8],[2],[3],[4],[6],[7]]=>5 [1,5,2,4,3,6,7,8]=>[5,1,4,2,3,6,7,8]=>[8,7,6,3,2,4,1,5]=>[[1,6,8],[2],[3],[4],[5],[7]]=>4 [1,6,2,5,3,4,7,8]=>[1,6,2,5,3,4,7,8]=>[8,7,4,3,5,2,6,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>6 [1,7,2,5,3,4,6,8]=>[1,7,2,3,5,4,6,8]=>[8,6,4,5,3,2,7,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>7 [1,8,2,5,3,4,6,7]=>[1,5,2,3,4,8,6,7]=>[7,6,8,4,3,2,5,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>8 [1,8,2,6,3,4,5,7]=>[1,2,8,3,4,6,5,7]=>[7,5,6,4,3,8,2,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>9 [1,3,2,8,4,6,5,7]=>[1,8,3,6,2,4,5,7]=>[7,5,4,2,6,3,8,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [1,2,3,8,4,6,5,7]=>[8,1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>5 [1,2,3,7,4,6,5,8]=>[7,1,6,2,3,4,5,8]=>[8,5,4,3,2,6,1,7]=>[[1,6,8],[2],[3],[4],[5],[7]]=>4 [1,3,2,7,4,6,5,8]=>[3,7,6,1,2,4,5,8]=>[8,5,4,2,1,6,7,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [1,4,2,7,3,6,5,8]=>[4,7,1,6,2,3,5,8]=>[8,5,3,2,6,1,7,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [1,6,2,7,3,5,4,8]=>[1,6,7,2,5,3,4,8]=>[8,4,3,5,2,7,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [1,7,2,6,3,5,4,8]=>[7,1,6,2,5,3,4,8]=>[8,4,3,5,2,6,1,7]=>[[1,4,6,8],[2],[3],[5],[7]]=>9 [1,8,2,6,3,5,4,7]=>[8,1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>10 [1,6,2,5,3,7,4,8]=>[1,6,2,5,7,3,4,8]=>[8,4,3,7,5,2,6,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [1,5,2,4,3,7,6,8]=>[5,1,4,7,2,3,6,8]=>[8,6,3,2,7,4,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [1,8,2,3,4,6,5,7]=>[8,1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>7 [1,8,2,3,4,7,5,6]=>[1,8,2,3,4,7,5,6]=>[6,5,7,4,3,2,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>8 [1,7,2,4,3,8,5,6]=>[4,7,1,2,3,8,5,6]=>[6,5,8,3,2,1,7,4]=>[[1,3],[2,7],[4,8],[5],[6]]=>8 [1,5,2,4,3,8,6,7]=>[5,8,1,4,2,3,6,7]=>[7,6,3,2,4,1,8,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [1,6,2,5,3,8,4,7]=>[6,5,1,2,8,3,4,7]=>[7,4,3,8,2,1,5,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [1,8,2,5,3,7,4,6]=>[8,1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [1,8,2,6,3,7,4,5]=>[8,1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [1,7,2,6,3,8,4,5]=>[7,1,6,2,3,8,4,5]=>[5,4,8,3,2,6,1,7]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [1,2,3,8,4,7,5,6]=>[1,8,2,7,3,4,5,6]=>[6,5,4,3,7,2,8,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>6 [1,4,2,8,3,7,5,6]=>[4,1,8,7,2,3,5,6]=>[6,5,3,2,7,8,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [1,5,2,8,3,7,4,6]=>[5,1,8,2,7,3,4,6]=>[6,4,3,7,2,8,1,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [1,6,2,8,3,7,4,5]=>[6,1,8,2,3,7,4,5]=>[5,4,7,3,2,8,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [1,7,2,8,3,6,4,5]=>[7,1,2,8,3,6,4,5]=>[5,4,6,3,8,2,1,7]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [1,8,2,7,3,6,4,5]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [4,6,3,7,2,5,1,8]=>[6,4,7,3,2,5,1,8]=>[8,1,5,2,3,7,4,6]=>[[1,3,5,6,8],[2,7],[4]]=>14 [4,6,3,7,5,2,1,8]=>[6,4,7,3,5,2,1,8]=>[8,1,2,5,3,7,4,6]=>[[1,3,4,6,8],[2,7],[5]]=>15 [4,6,3,8,5,1,7,2]=>[6,8,4,3,1,5,7,2]=>[2,7,5,1,3,4,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>16 [4,6,2,7,5,3,1,8]=>[4,6,7,2,5,3,1,8]=>[8,1,3,5,2,7,6,4]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [5,7,8,4,1,6,2,3]=>[1,7,8,5,4,2,6,3]=>[3,6,2,4,5,8,7,1]=>[[1,2,5,6],[3,4,7],[8]]=>19 [5,7,8,4,1,6,3,2]=>[7,5,1,8,4,6,3,2]=>[2,3,6,4,8,1,5,7]=>[[1,2,3,5,8],[4,7],[6]]=>20 [5,7,8,4,1,3,6,2]=>[1,7,8,5,4,3,6,2]=>[2,6,3,4,5,8,7,1]=>[[1,2,4,5,6],[3,7],[8]]=>19 [5,6,8,2,4,1,7,3]=>[5,6,2,1,8,4,7,3]=>[3,7,4,8,1,2,6,5]=>[[1,2,4],[3,6,7],[5,8]]=>17 [4,6,2,8,5,1,3,7]=>[6,4,8,2,1,5,3,7]=>[7,3,5,1,2,8,4,6]=>[[1,3,6,8],[2,5,7],[4]]=>14 [5,6,8,2,4,1,3,7]=>[5,8,2,1,6,4,3,7]=>[7,3,4,6,1,2,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>16 [5,7,8,4,1,3,2,6]=>[1,7,8,5,4,3,2,6]=>[6,2,3,4,5,8,7,1]=>[[1,3,4,5,6],[2,7],[8]]=>18 [5,7,8,4,1,2,3,6]=>[1,7,2,8,5,4,3,6]=>[6,3,4,5,8,2,7,1]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [6,7,8,1,5,2,3,4]=>[6,1,2,7,3,8,5,4]=>[4,5,8,3,7,2,1,6]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [6,7,8,1,5,2,4,3]=>[6,1,2,7,8,5,4,3]=>[3,4,5,8,7,2,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [6,7,8,1,5,3,2,4]=>[6,7,1,3,2,8,5,4]=>[4,5,8,2,3,1,7,6]=>[[1,2,3],[4,5,7],[6,8]]=>19 [6,7,8,1,3,5,2,4]=>[6,1,3,7,2,8,5,4]=>[4,5,8,2,7,3,1,6]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [5,7,8,2,1,6,3,4]=>[2,7,5,1,8,3,6,4]=>[4,6,3,8,1,5,7,2]=>[[1,2,4],[3,6,7],[5,8]]=>17 [4,7,2,8,1,6,3,5]=>[4,2,7,1,8,6,3,5]=>[5,3,6,8,1,7,2,4]=>[[1,3,4],[2,6,8],[5,7]]=>15 [3,2,7,8,1,6,4,5]=>[7,3,8,6,2,1,4,5]=>[5,4,1,2,6,8,3,7]=>[[1,4,5,6],[2,7,8],[3]]=>13 [3,2,7,8,1,6,5,4]=>[7,3,8,6,2,5,1,4]=>[4,1,5,2,6,8,3,7]=>[[1,3,5,6],[2,4,7,8]]=>14 [6,7,8,1,3,5,4,2]=>[6,1,3,7,8,5,4,2]=>[2,4,5,8,7,3,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [6,7,8,1,5,3,4,2]=>[6,7,1,3,8,5,4,2]=>[2,4,5,8,3,1,7,6]=>[[1,2,3,4],[5,7],[6,8]]=>20 [6,7,8,1,5,4,3,2]=>[6,7,8,1,5,4,3,2]=>[2,3,4,5,1,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>21 [6,7,8,1,5,4,2,3]=>[6,7,1,2,8,5,4,3]=>[3,4,5,8,2,1,7,6]=>[[1,2,3,4],[5,7],[6,8]]=>20 [6,7,8,1,4,5,2,3]=>[6,7,1,4,2,8,5,3]=>[3,5,8,2,4,1,7,6]=>[[1,2,3],[4,5,7],[6,8]]=>19 [6,7,8,1,3,4,5,2]=>[6,1,3,7,4,8,5,2]=>[2,5,8,4,7,3,1,6]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [5,7,8,2,1,4,6,3]=>[2,7,5,1,8,4,6,3]=>[3,6,4,8,1,5,7,2]=>[[1,2,4,7],[3,6],[5,8]]=>17 [4,7,2,8,1,5,6,3]=>[7,4,8,2,1,5,6,3]=>[3,6,5,1,2,8,4,7]=>[[1,2,6,8],[3,5,7],[4]]=>15 [3,2,7,8,1,5,6,4]=>[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[[1,3,5,8],[2,4,7],[6]]=>13 [3,2,6,8,4,1,7,5]=>[8,6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>12 [4,6,2,8,3,1,7,5]=>[6,2,8,4,3,7,1,5]=>[5,1,7,3,4,8,2,6]=>[[1,3,5,6],[2,4,8],[7]]=>14 [5,7,8,3,1,4,6,2]=>[1,7,3,8,5,4,6,2]=>[2,6,4,5,8,3,7,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [5,7,8,3,1,6,4,2]=>[1,7,5,8,3,6,4,2]=>[2,4,6,3,8,5,7,1]=>[[1,2,3,5],[4,6,7],[8]]=>19 [5,7,8,3,1,6,2,4]=>[7,5,3,1,8,2,6,4]=>[4,6,2,8,1,3,5,7]=>[[1,2,4,8],[3,6,7],[5]]=>18 [4,7,3,8,1,6,2,5]=>[4,7,3,1,8,6,2,5]=>[5,2,6,8,1,3,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>16 [4,7,3,8,1,5,6,2]=>[4,3,7,1,8,5,6,2]=>[2,6,5,8,1,7,3,4]=>[[1,2,4],[3,6,8],[5,7]]=>16 [4,6,3,8,2,1,7,5]=>[6,8,4,3,2,7,1,5]=>[5,1,7,2,3,4,8,6]=>[[1,3,5,6,7],[2,4,8]]=>15 [3,2,5,4,8,1,7,6]=>[8,3,5,2,4,7,1,6]=>[6,1,7,4,2,5,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>10 [4,5,3,2,8,1,6,7]=>[4,5,8,3,2,1,6,7]=>[7,6,1,2,3,8,5,4]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [4,6,3,8,2,1,5,7]=>[6,8,4,3,2,1,5,7]=>[7,5,1,2,3,4,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>14 [4,7,3,8,1,5,2,6]=>[4,1,7,3,8,5,2,6]=>[6,2,5,8,3,7,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [4,7,3,8,1,2,6,5]=>[4,1,7,3,8,6,2,5]=>[5,2,6,8,3,7,1,4]=>[[1,3,4],[2,5,6],[7,8]]=>15 [4,7,3,8,1,2,5,6]=>[4,1,7,3,2,8,5,6]=>[6,5,8,2,3,7,1,4]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [5,7,8,3,1,2,6,4]=>[1,7,5,3,8,2,6,4]=>[4,6,2,8,3,5,7,1]=>[[1,2,4,7],[3,5,6],[8]]=>17 [5,7,8,3,1,4,2,6]=>[1,7,3,8,5,4,2,6]=>[6,2,4,5,8,3,7,1]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [5,6,8,3,2,1,4,7]=>[8,5,3,2,1,6,4,7]=>[7,4,6,1,2,3,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>16 [5,7,8,2,1,4,3,6]=>[2,1,7,8,5,4,3,6]=>[6,3,4,5,8,7,1,2]=>[[1,3,4,5],[2,6],[7,8]]=>16 [6,7,8,1,3,4,2,5]=>[6,1,3,7,4,2,8,5]=>[5,8,2,4,7,3,1,6]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [6,7,8,1,4,2,5,3]=>[6,1,2,7,4,8,5,3]=>[3,5,8,4,7,2,1,6]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [6,7,8,1,2,5,4,3]=>[1,2,6,7,8,5,4,3]=>[3,4,5,8,7,6,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>18 [6,7,8,1,2,4,5,3]=>[1,2,6,7,4,8,5,3]=>[3,5,8,4,7,6,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [6,7,8,1,3,2,5,4]=>[6,1,3,2,7,8,5,4]=>[4,5,8,7,2,3,1,6]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [5,7,8,2,1,3,6,4]=>[2,1,7,5,8,3,6,4]=>[4,6,3,8,5,7,1,2]=>[[1,2,4],[3,5,6],[7,8]]=>16 [3,2,7,8,1,4,6,5]=>[7,3,2,8,6,1,4,5]=>[5,4,1,6,8,2,3,7]=>[[1,4,5,8],[2,6,7],[3]]=>12 [6,7,8,1,3,2,4,5]=>[6,1,3,2,7,4,8,5]=>[5,8,4,7,2,3,1,6]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [6,7,8,1,2,3,5,4]=>[1,2,6,3,7,8,5,4]=>[4,5,8,7,3,6,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [2,8,4,5,3,7,1,6]=>[2,4,8,5,7,3,1,6]=>[6,1,3,7,5,8,4,2]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [7,2,8,4,5,6,1,3]=>[2,7,4,8,5,1,6,3]=>[3,6,1,5,8,4,7,2]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [1,6,3,7,5,2,4,8]=>[6,7,5,1,3,2,4,8]=>[8,4,2,3,1,5,7,6]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [6,3,2,8,5,1,4,7]=>[6,3,8,2,1,5,4,7]=>[7,4,5,1,2,8,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>14 [7,4,8,2,5,6,3,1]=>[4,7,2,5,8,6,3,1]=>[1,3,6,8,5,2,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>20 [7,4,8,5,2,1,3,6]=>[7,4,2,1,5,3,8,6]=>[6,8,3,5,1,2,4,7]=>[[1,2,7,8],[3,4],[5,6]]=>18 [4,3,7,5,1,2,8,6]=>[7,4,3,1,5,8,2,6]=>[6,2,8,5,1,3,4,7]=>[[1,3,7,8],[2,4],[5,6]]=>12 [4,3,7,1,5,6,8,2]=>[4,7,3,1,5,6,8,2]=>[2,8,6,5,1,3,7,4]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [3,6,1,7,5,2,8,4]=>[3,6,1,7,5,8,2,4]=>[4,2,8,5,7,1,6,3]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [3,4,1,2,7,6,8,5]=>[3,7,1,4,6,8,2,5]=>[5,2,8,6,4,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [3,4,2,1,7,5,8,6]=>[3,4,7,2,8,1,5,6]=>[6,5,1,8,2,7,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [3,6,5,7,1,4,8,2]=>[6,5,3,7,1,4,8,2]=>[2,8,4,1,7,3,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>14 [6,5,2,7,4,1,8,3]=>[6,2,5,1,7,4,8,3]=>[3,8,4,7,1,5,2,6]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [3,5,2,6,4,8,7,1]=>[5,3,6,8,2,4,7,1]=>[1,7,4,2,8,6,3,5]=>[[1,2,5,8],[3,6],[4,7]]=>12 [5,3,1,8,6,4,7,2]=>[5,8,1,3,6,4,7,2]=>[2,7,4,6,3,1,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [5,6,1,8,7,2,4,3]=>[5,6,8,1,2,7,4,3]=>[3,4,7,2,1,8,6,5]=>[[1,2,3,6],[4,7],[5,8]]=>16 [6,3,5,8,2,7,4,1]=>[6,3,5,8,2,7,4,1]=>[1,4,7,2,8,5,3,6]=>[[1,2,3,5],[4,6,8],[7]]=>18 [6,5,8,4,2,3,7,1]=>[6,2,8,5,4,3,7,1]=>[1,7,3,4,5,8,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>20 [6,2,5,8,3,7,1,4]=>[6,5,8,2,3,1,7,4]=>[4,7,1,3,2,8,5,6]=>[[1,2,6,8],[3,4,7],[5]]=>16 [1,6,5,7,3,4,2,8]=>[6,5,3,7,4,1,2,8]=>[8,2,1,4,7,3,5,6]=>[[1,4,5,8],[2,6,7],[3]]=>12 [1,5,2,7,4,6,3,8]=>[7,5,1,4,6,2,3,8]=>[8,3,2,6,4,1,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [5,2,1,8,7,6,3,4]=>[8,7,2,5,1,3,6,4]=>[4,6,3,1,5,2,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>14 [7,1,3,8,4,6,2,5]=>[3,7,8,4,1,2,6,5]=>[5,6,2,1,4,8,7,3]=>[[1,2,6],[3,5,7],[4,8]]=>14 [2,3,4,8,6,1,7,5]=>[8,2,6,3,4,7,1,5]=>[5,1,7,4,3,6,2,8]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [2,7,3,5,8,6,1,4]=>[2,7,8,5,6,3,1,4]=>[4,1,3,6,5,8,7,2]=>[[1,3,4,6],[2,5,7],[8]]=>14 [3,2,4,7,8,6,1,5]=>[7,8,3,6,2,4,1,5]=>[5,1,4,2,6,3,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>12 [1,5,4,6,2,7,3,8]=>[5,4,1,6,7,2,3,8]=>[8,3,2,7,6,1,4,5]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [5,2,4,7,1,8,3,6]=>[5,7,2,4,1,8,3,6]=>[6,3,8,1,4,2,7,5]=>[[1,3,7],[2,5,8],[4,6]]=>12 [5,3,6,4,1,8,7,2]=>[3,5,1,6,8,4,7,2]=>[2,7,4,8,6,1,5,3]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [5,3,6,1,4,8,2,7]=>[3,1,5,6,8,4,2,7]=>[7,2,4,8,6,5,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [7,3,5,6,8,4,2,1]=>[3,7,5,6,8,4,2,1]=>[1,2,4,8,6,5,7,3]=>[[1,2,3,4,7],[5],[6],[8]]=>20 [6,3,5,1,8,2,7,4]=>[3,6,1,5,8,2,7,4]=>[4,7,2,8,5,1,6,3]=>[[1,2,4],[3,5,7],[6,8]]=>14 [2,6,1,5,8,4,7,3]=>[6,8,2,5,4,7,1,3]=>[3,1,7,4,5,2,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>12 [2,7,6,5,8,3,4,1]=>[7,6,5,2,8,3,4,1]=>[1,4,3,8,2,5,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>18 [3,2,4,1,7,8,5,6]=>[3,7,8,2,4,1,5,6]=>[6,5,1,4,2,8,7,3]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [3,6,4,7,8,2,5,1]=>[3,6,7,8,4,2,5,1]=>[1,5,2,4,8,7,6,3]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [6,3,4,5,7,1,8,2]=>[3,4,6,5,1,7,8,2]=>[2,8,7,1,5,6,4,3]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [7,2,1,4,3,6,5,8]=>[2,4,7,1,3,6,5,8]=>[8,5,6,3,1,7,4,2]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [7,6,3,2,5,4,1,8]=>[3,7,2,6,5,4,1,8]=>[8,1,4,5,6,2,7,3]=>[[1,3,4,5,7],[2,8],[6]]=>17 [6,7,3,2,5,4,8,1]=>[3,2,6,7,5,4,8,1]=>[1,8,4,5,7,6,2,3]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [1,8,3,2,5,4,7,6]=>[8,3,1,2,5,7,4,6]=>[6,4,7,5,2,1,3,8]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [1,8,4,5,2,3,7,6]=>[4,1,2,8,5,7,3,6]=>[6,3,7,5,8,2,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [7,3,5,1,6,2,4,8]=>[1,3,7,5,2,6,4,8]=>[8,4,6,2,5,7,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>13 [7,2,1,5,6,3,4,8]=>[2,7,5,1,3,6,4,8]=>[8,4,6,3,1,5,7,2]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [7,3,6,1,5,4,2,8]=>[7,3,6,1,5,4,2,8]=>[8,2,4,5,1,6,3,7]=>[[1,3,4,6,8],[2,7],[5]]=>15 [1,8,6,4,3,7,2,5]=>[8,1,6,4,7,3,2,5]=>[5,2,3,7,4,6,1,8]=>[[1,3,4,6,8],[2,5],[7]]=>15 [6,5,7,4,3,1,8,2]=>[6,5,1,7,4,3,8,2]=>[2,8,3,4,7,1,5,6]=>[[1,2,4,5,8],[3,7],[6]]=>19 [6,4,7,5,1,3,8,2]=>[4,1,6,7,5,3,8,2]=>[2,8,3,5,7,6,1,4]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [6,3,7,1,5,4,8,2]=>[3,6,7,1,5,4,8,2]=>[2,8,4,5,1,7,6,3]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [6,2,1,7,5,4,8,3]=>[6,7,2,5,1,4,8,3]=>[3,8,4,1,5,2,7,6]=>[[1,2,5,7],[3,6,8],[4]]=>13 [2,3,8,1,5,4,7,6]=>[2,3,5,8,7,1,4,6]=>[6,4,1,7,8,5,3,2]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [2,4,8,5,1,3,7,6]=>[4,5,2,8,7,1,3,6]=>[6,3,1,7,8,2,5,4]=>[[1,4,5],[2,6,7],[3,8]]=>11 [2,5,8,4,3,1,7,6]=>[8,5,2,4,3,7,1,6]=>[6,1,7,3,4,2,5,8]=>[[1,3,5,7,8],[2,4],[6]]=>13 [2,6,8,4,3,7,1,5]=>[6,2,8,4,7,3,1,5]=>[5,1,3,7,4,8,2,6]=>[[1,3,4,6],[2,5,8],[7]]=>15 [1,8,7,4,3,6,5,2]=>[4,8,3,7,6,5,1,2]=>[2,1,5,6,7,3,8,4]=>[[1,3,4,5,7],[2,6,8]]=>17 [1,8,7,5,6,3,4,2]=>[5,3,8,7,6,4,1,2]=>[2,1,4,6,7,8,3,5]=>[[1,3,4,5,6],[2,7,8]]=>19 [2,7,8,5,6,3,4,1]=>[7,5,2,8,6,3,4,1]=>[1,4,3,6,8,2,5,7]=>[[1,2,4,5],[3,7,8],[6]]=>19 [2,5,8,6,7,1,3,4]=>[5,8,6,2,1,7,3,4]=>[4,3,7,1,2,6,8,5]=>[[1,3,6,7],[2,5],[4,8]]=>15 [5,3,7,1,6,8,4,2]=>[3,7,1,5,6,8,4,2]=>[2,4,8,6,5,1,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [5,4,7,6,1,8,3,2]=>[5,4,7,1,6,8,3,2]=>[2,3,8,6,1,7,4,5]=>[[1,2,3,6],[4,7,8],[5]]=>17 [1,8,5,6,7,2,3,4]=>[5,1,6,2,8,7,3,4]=>[4,3,7,8,2,6,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [4,7,5,6,8,2,3,1]=>[4,7,5,6,2,8,3,1]=>[1,3,8,2,6,5,7,4]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [4,6,5,7,8,2,1,3]=>[6,4,5,7,2,1,8,3]=>[3,8,1,2,7,5,4,6]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [5,3,6,1,7,8,2,4]=>[3,1,5,6,7,2,8,4]=>[4,8,2,7,6,5,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>13 [5,2,1,6,7,8,3,4]=>[2,5,6,7,1,3,8,4]=>[4,8,3,1,7,6,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>11 [6,2,1,5,7,3,8,4]=>[6,2,5,1,3,7,8,4]=>[4,8,7,3,1,5,2,6]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [6,3,5,1,7,2,8,4]=>[3,6,1,5,2,7,8,4]=>[4,8,7,2,5,1,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [6,5,4,7,2,1,8,3]=>[6,5,4,2,1,7,8,3]=>[3,8,7,1,2,4,5,6]=>[[1,2,6,7,8],[3,5],[4]]=>17 [1,8,4,6,2,7,3,5]=>[8,6,1,4,2,7,3,5]=>[5,3,7,2,4,1,6,8]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [5,7,3,2,6,8,4,1]=>[5,3,7,2,6,8,4,1]=>[1,4,8,6,2,7,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>17 [5,6,3,2,7,8,1,4]=>[5,3,2,6,7,1,8,4]=>[4,8,1,7,6,2,3,5]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [6,4,3,2,1,7,8,5]=>[4,3,2,1,6,7,8,5]=>[5,8,7,6,1,2,3,4]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [6,2,1,4,3,7,8,5]=>[2,4,1,3,6,7,8,5]=>[5,8,7,6,3,1,4,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>9 [5,2,1,4,3,8,7,6]=>[2,5,8,1,4,7,3,6]=>[6,3,7,4,1,8,5,2]=>[[1,3,6],[2,4,7],[5,8]]=>9 [5,3,4,1,2,8,7,6]=>[3,1,5,8,4,7,2,6]=>[6,2,7,4,8,5,1,3]=>[[1,3,5],[2,4,6],[7,8]]=>11 [4,6,3,2,8,7,1,5]=>[6,4,8,3,7,2,1,5]=>[5,1,2,7,3,8,4,6]=>[[1,3,4,6,8],[2,5,7]]=>15 [4,7,3,2,8,6,5,1]=>[4,3,7,8,6,2,5,1]=>[1,5,2,6,8,7,3,4]=>[[1,2,4,5],[3,6,8],[7]]=>17 [1,8,3,2,7,6,5,4]=>[8,7,1,6,3,5,2,4]=>[4,2,5,3,6,1,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>13 [3,7,4,8,2,6,5,1]=>[7,3,4,8,6,2,5,1]=>[1,5,2,6,8,4,3,7]=>[[1,2,4,5],[3,6,8],[7]]=>17 [3,6,4,8,2,7,1,5]=>[6,3,8,4,7,2,1,5]=>[5,1,2,7,4,8,3,6]=>[[1,3,4,6],[2,5,8],[7]]=>15 [3,4,5,8,1,2,7,6]=>[3,8,4,1,5,7,2,6]=>[6,2,7,5,1,4,8,3]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [4,3,5,1,8,2,7,6]=>[4,3,5,8,1,7,2,6]=>[6,2,7,1,8,5,3,4]=>[[1,3,5],[2,6,8],[4,7]]=>11 [4,2,1,6,8,7,3,5]=>[8,2,4,6,1,7,3,5]=>[5,3,7,1,6,4,2,8]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [3,6,5,8,7,2,1,4]=>[6,8,5,7,3,2,1,4]=>[4,1,2,3,7,5,8,6]=>[[1,3,4,5,7],[2,6,8]]=>17 [3,7,5,8,6,2,4,1]=>[5,7,8,6,3,2,4,1]=>[1,4,2,3,6,8,7,5]=>[[1,2,4,5,6],[3,7],[8]]=>19 [1,8,6,7,5,4,2,3]=>[6,1,8,7,5,4,2,3]=>[3,2,4,5,7,8,1,6]=>[[1,3,4,5,6],[2,8],[7]]=>19 [3,6,7,8,5,4,1,2]=>[6,7,8,5,3,1,4,2]=>[2,4,1,3,5,8,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>19 [3,5,7,8,6,1,4,2]=>[7,8,5,3,6,1,4,2]=>[2,4,1,6,3,5,8,7]=>[[1,2,4,7],[3,5,6,8]]=>17 [4,2,1,7,8,6,5,3]=>[7,8,2,6,1,4,5,3]=>[3,5,4,1,6,2,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>13 [2,4,8,7,1,6,5,3]=>[4,8,7,6,2,5,1,3]=>[3,1,5,2,6,7,8,4]=>[[1,3,5,6,7],[2,4,8]]=>15 [2,6,8,7,5,4,1,3]=>[8,6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6,8]=>[[1,3,4,5,6,8],[2,7]]=>19 [2,1,4,3,6,5,8,7,10,9,12,11]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>[11,9,7,5,3,1,12,10,8,6,4,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [6,5,4,3,2,1,12,11,10,9,8,7]=>[6,12,5,11,4,10,3,9,2,8,1,7]=>[7,1,8,2,9,3,10,4,11,5,12,6]=>[[1,3,5,7,9,11],[2,4,6,8,10,12]]=>30 [12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[[1,2,3,4,5,6,7,8,9,10,11,12]]=>66 [8,3,4,1,7,5,6,2]=>[8,3,1,4,5,7,6,2]=>[2,6,7,5,4,1,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [4,8,3,1,7,5,6,2]=>[4,1,8,3,7,5,6,2]=>[2,6,5,7,3,8,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [6,8,4,3,1,7,5,2]=>[1,6,4,8,3,7,5,2]=>[2,5,7,3,8,4,6,1]=>[[1,2,3,5],[4,6,7],[8]]=>19 [3,6,8,4,1,7,5,2]=>[6,3,8,1,7,4,5,2]=>[2,5,4,7,1,8,3,6]=>[[1,2,4,6],[3,7,8],[5]]=>16 [3,6,7,5,1,8,4,2]=>[6,3,7,5,8,1,4,2]=>[2,4,1,8,5,7,3,6]=>[[1,2,4,6],[3,5,8],[7]]=>16 [7,5,6,1,8,3,4,2]=>[1,7,5,6,3,8,4,2]=>[2,4,8,3,6,5,7,1]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [3,4,6,5,7,1,8,2]=>[6,3,4,5,1,7,8,2]=>[2,8,7,1,5,4,3,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [6,7,5,1,8,4,3,2]=>[6,7,1,5,8,4,3,2]=>[2,3,4,8,5,1,7,6]=>[[1,2,3,4,7],[5,8],[6]]=>20 [6,7,5,3,1,8,4,2]=>[1,6,3,7,5,8,4,2]=>[2,4,8,5,7,3,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [1,8,4,2,6,7,5,3]=>[1,8,4,6,7,5,2,3]=>[3,2,5,7,6,4,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [2,5,3,1,7,6,8,4]=>[2,5,7,3,6,8,1,4]=>[4,1,8,6,3,7,5,2]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [2,8,4,1,6,7,5,3]=>[8,4,2,6,7,5,1,3]=>[3,1,5,7,6,2,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>14 [2,4,6,1,7,5,8,3]=>[6,4,7,2,5,8,1,3]=>[3,1,8,5,2,7,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>10 [4,8,2,6,5,7,1,3]=>[4,8,6,2,5,1,7,3]=>[3,7,1,5,2,6,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>17 [7,5,1,2,6,8,4,3]=>[1,7,2,5,6,8,4,3]=>[3,4,8,6,5,2,7,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>15 [8,4,1,2,6,7,5,3]=>[1,8,2,4,6,7,5,3]=>[3,5,7,6,4,2,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>15 [1,2,5,3,7,6,8,4]=>[7,1,5,6,8,2,3,4]=>[4,3,2,8,6,5,1,7]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [4,3,1,2,7,6,8,5]=>[1,4,7,3,6,8,2,5]=>[5,2,8,6,3,7,4,1]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [3,5,1,2,7,6,8,4]=>[1,5,7,3,6,8,2,4]=>[4,2,8,6,3,7,5,1]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [6,7,1,5,8,2,3,4]=>[6,1,7,2,5,3,8,4]=>[4,8,3,5,2,7,1,6]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [2,3,5,1,7,6,8,4]=>[5,7,2,3,6,8,1,4]=>[4,1,8,6,3,2,7,5]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [7,6,1,5,8,3,2,4]=>[7,6,5,1,3,2,8,4]=>[4,8,2,3,1,5,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>18 [3,6,7,1,5,8,2,4]=>[6,3,7,5,1,8,2,4]=>[4,2,8,1,5,7,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>14 [7,1,6,5,8,2,4,3]=>[1,7,6,5,8,2,4,3]=>[3,4,2,8,5,6,7,1]=>[[1,2,4,6,7],[3,5],[8]]=>17 [8,4,1,6,7,5,2,3]=>[4,8,6,1,2,7,5,3]=>[3,5,7,2,1,6,8,4]=>[[1,2,3,7],[4,6],[5,8]]=>18 [5,2,3,1,7,6,8,4]=>[2,3,7,1,5,6,8,4]=>[4,8,6,5,1,7,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [1,3,5,2,7,6,8,4]=>[5,7,3,6,8,1,2,4]=>[4,2,1,8,6,3,7,5]=>[[1,4,7],[2,5,8],[3,6]]=>7 [1,7,6,2,5,8,3,4]=>[7,6,1,5,2,8,3,4]=>[4,3,8,2,5,1,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [7,6,2,1,5,8,3,4]=>[7,2,6,1,5,3,8,4]=>[4,8,3,5,1,6,2,7]=>[[1,2,6,8],[3,4],[5,7]]=>16 [8,3,1,5,7,6,2,4]=>[8,3,7,1,5,2,6,4]=>[4,6,2,5,1,7,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>16 [6,2,4,1,7,5,8,3]=>[2,1,6,7,4,5,8,3]=>[3,8,5,4,7,6,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [7,1,6,4,8,2,5,3]=>[7,1,6,4,8,2,5,3]=>[3,5,2,8,4,6,1,7]=>[[1,2,4,8],[3,5,6],[7]]=>16 [8,2,6,4,7,1,5,3]=>[2,6,4,8,7,1,5,3]=>[3,5,1,7,8,4,6,2]=>[[1,2,4,5],[3,6,7],[8]]=>18 [8,3,5,7,6,2,1,4]=>[8,3,7,5,2,1,6,4]=>[4,6,1,2,5,7,3,8]=>[[1,2,5,6,8],[3,4],[7]]=>20 [3,6,8,2,5,7,1,4]=>[3,8,6,5,7,2,1,4]=>[4,1,2,7,5,6,8,3]=>[[1,3,4,6,7],[2,5],[8]]=>16 [8,3,2,5,7,6,1,4]=>[3,8,7,2,5,1,6,4]=>[4,6,1,5,2,7,8,3]=>[[1,2,6,7],[3,4,8],[5]]=>17 [4,2,1,3,7,6,8,5]=>[2,7,1,4,6,8,3,5]=>[5,3,8,6,4,1,7,2]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [1,4,2,3,7,6,8,5]=>[7,1,4,6,8,2,3,5]=>[5,3,2,8,6,4,1,7]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [6,8,2,3,5,7,1,4]=>[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>[[1,2,5],[3,4,8],[6],[7]]=>17 [5,1,2,3,7,6,8,4]=>[7,1,2,3,5,6,8,4]=>[4,8,6,5,3,2,1,7]=>[[1,2,8],[3],[4],[5],[6],[7]]=>8 [8,1,2,4,3,6,5,7]=>[4,6,1,2,3,5,8,7]=>[7,8,5,3,2,1,6,4]=>[[1,2],[3,7],[4,8],[5],[6]]=>9 [8,1,3,5,6,2,7,4]=>[1,8,3,5,2,6,7,4]=>[4,7,6,2,5,3,8,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [8,1,3,2,4,5,7,6]=>[3,8,1,2,4,5,7,6]=>[6,7,5,4,2,1,8,3]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [2,6,3,8,4,5,7,1]=>[2,6,3,8,4,5,7,1]=>[1,7,5,4,8,3,6,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [3,7,8,5,6,2,1,4]=>[7,5,8,6,3,2,1,4]=>[4,1,2,3,6,8,5,7]=>[[1,3,4,5,6],[2,7,8]]=>19 [3,6,2,8,4,5,1,7]=>[6,3,2,8,4,5,1,7]=>[7,1,5,4,8,2,3,6]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [2,3,6,7,4,5,8,1]=>[6,2,7,3,4,5,8,1]=>[1,8,5,4,3,7,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [3,5,2,4,8,6,1,7]=>[5,8,3,2,4,6,1,7]=>[7,1,6,4,2,3,8,5]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [3,5,4,2,8,7,1,6]=>[5,8,3,4,7,2,1,6]=>[6,1,2,7,4,3,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>13 [4,6,5,8,7,1,2,3]=>[6,8,4,1,5,2,7,3]=>[3,7,2,5,1,4,8,6]=>[[1,2,7],[3,4,8],[5,6]]=>17 [2,6,4,8,3,7,5,1]=>[8,6,2,4,7,3,5,1]=>[1,5,3,7,4,2,6,8]=>[[1,2,4,7,8],[3,5],[6]]=>15 [2,6,5,8,7,3,4,1]=>[6,8,5,2,7,3,4,1]=>[1,4,3,7,2,5,8,6]=>[[1,2,4,7],[3,6,8],[5]]=>17 [6,2,5,1,7,3,4,8]=>[2,6,5,1,3,7,4,8]=>[8,4,7,3,1,5,6,2]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [6,5,2,1,8,3,4,7]=>[6,2,1,5,3,8,4,7]=>[7,4,8,3,5,1,2,6]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [2,4,6,7,3,8,5,1]=>[6,7,4,8,2,3,5,1]=>[1,5,3,2,8,4,7,6]=>[[1,2,5,7],[3,6],[4,8]]=>13 [4,2,6,7,3,1,5,8]=>[4,6,2,7,3,1,5,8]=>[8,5,1,3,7,2,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [4,7,8,2,3,1,5,6]=>[2,7,4,3,1,8,5,6]=>[6,5,8,1,3,4,7,2]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [3,4,6,7,2,8,1,5]=>[6,7,3,4,8,2,1,5]=>[5,1,2,8,4,3,7,6]=>[[1,3,4,7],[2,5],[6,8]]=>13 [5,2,7,8,6,4,1,3]=>[7,8,5,6,2,1,4,3]=>[3,4,1,2,6,5,8,7]=>[[1,2,5,7],[3,4,6,8]]=>18 [5,1,2,7,8,6,4,3]=>[7,8,5,6,1,2,4,3]=>[3,4,2,1,6,5,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>13 [4,7,1,8,6,5,2,3]=>[7,8,4,1,6,2,5,3]=>[3,5,2,6,1,4,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>17 [4,7,1,2,8,6,5,3]=>[7,8,1,4,6,2,5,3]=>[3,5,2,6,4,1,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>14 [4,6,8,1,2,7,5,3]=>[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[[1,2,4,6],[3,5,7],[8]]=>15 [6,8,7,1,5,3,2,4]=>[1,6,8,3,2,7,5,4]=>[4,5,7,2,3,8,6,1]=>[[1,2,3,6],[4,5,7],[8]]=>20 [6,8,7,3,5,1,2,4]=>[6,1,8,3,2,7,5,4]=>[4,5,7,2,3,8,1,6]=>[[1,2,3,6],[4,5,8],[7]]=>21 [7,8,1,6,3,5,2,4]=>[7,8,1,3,2,6,5,4]=>[4,5,6,2,3,1,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>19 [7,8,1,3,6,5,2,4]=>[7,8,3,1,2,6,5,4]=>[4,5,6,2,1,3,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>18 [7,8,3,6,5,2,1,4]=>[7,8,3,2,1,6,5,4]=>[4,5,6,1,2,3,8,7]=>[[1,2,3,7],[4,5,6,8]]=>22 [4,7,2,8,6,1,5,3]=>[7,8,4,2,6,1,5,3]=>[3,5,1,6,2,4,8,7]=>[[1,2,4,7],[3,5,6,8]]=>17 [1,7,3,4,8,6,5,2]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>13 [4,2,7,1,8,6,5,3]=>[7,8,2,4,6,1,5,3]=>[3,5,1,6,4,2,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>14 [7,8,2,3,6,5,1,4]=>[7,8,2,3,1,6,5,4]=>[4,5,6,1,3,2,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>19 [8,5,7,1,6,2,3,4]=>[1,5,2,8,3,7,6,4]=>[4,6,7,3,8,2,5,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [8,5,7,1,2,6,3,4]=>[5,1,2,8,3,7,6,4]=>[4,6,7,3,8,2,1,5]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [6,8,2,7,1,3,5,4]=>[6,2,8,1,3,7,5,4]=>[4,5,7,3,1,8,2,6]=>[[1,2,3,6],[4,7,8],[5]]=>17 [6,8,7,2,5,3,1,4]=>[6,2,8,3,1,7,5,4]=>[4,5,7,1,3,8,2,6]=>[[1,2,3,6],[4,5,8],[7]]=>21 [6,2,4,8,7,1,5,3]=>[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[[1,2,4,6],[3,5,8],[7]]=>16 [1,6,8,3,7,4,5,2]=>[6,3,8,4,7,5,1,2]=>[2,1,5,7,4,8,3,6]=>[[1,3,4,6],[2,5,8],[7]]=>15 [1,6,8,3,4,7,5,2]=>[3,6,8,4,7,5,1,2]=>[2,1,5,7,4,8,6,3]=>[[1,3,4,6],[2,5,7],[8]]=>14 [6,2,4,8,1,7,5,3]=>[2,6,8,4,7,1,5,3]=>[3,5,1,7,4,8,6,2]=>[[1,2,4,6],[3,5,7],[8]]=>15 [6,8,7,2,3,5,1,4]=>[2,6,8,3,1,7,5,4]=>[4,5,7,1,3,8,6,2]=>[[1,2,3,6],[4,5,7],[8]]=>20 [8,5,7,2,1,6,3,4]=>[2,5,1,8,3,7,6,4]=>[4,6,7,3,8,1,5,2]=>[[1,2,3,5],[4,7],[6,8]]=>19 [8,5,7,1,2,3,6,4]=>[1,2,5,8,3,7,6,4]=>[4,6,7,3,8,5,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [8,7,6,2,1,4,3,5]=>[2,4,1,3,8,7,6,5]=>[5,6,7,8,3,1,4,2]=>[[1,2,3,4],[5,7],[6,8]]=>20 [8,5,7,2,3,1,6,4]=>[2,5,3,8,1,7,6,4]=>[4,6,7,1,8,3,5,2]=>[[1,2,3,5],[4,6,7],[8]]=>19 [5,8,4,2,7,1,6,3]=>[2,5,4,8,7,1,6,3]=>[3,6,1,7,8,4,5,2]=>[[1,2,4,5],[3,6,7],[8]]=>18 [1,8,7,5,3,4,6,2]=>[3,5,4,8,7,6,1,2]=>[2,1,6,7,8,4,5,3]=>[[1,3,4,5],[2,6,7],[8]]=>17 [1,8,7,3,5,4,6,2]=>[5,3,4,8,7,6,1,2]=>[2,1,6,7,8,4,3,5]=>[[1,3,4,5],[2,6,8],[7]]=>16 [8,2,5,4,7,1,6,3]=>[5,2,4,8,7,1,6,3]=>[3,6,1,7,8,4,2,5]=>[[1,2,4,5],[3,6,8],[7]]=>17 [8,5,2,7,3,1,6,4]=>[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[[1,2,3,5],[4,6,8],[7]]=>18 [8,7,6,2,4,3,1,5]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[[1,2,3,4],[5,6,8],[7]]=>22 [8,7,6,1,2,4,3,5]=>[4,1,2,3,8,7,6,5]=>[5,6,7,8,3,2,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [8,7,6,1,4,2,3,5]=>[1,4,2,3,8,7,6,5]=>[5,6,7,8,3,2,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [8,7,6,4,1,3,2,5]=>[4,1,3,2,8,7,6,5]=>[5,6,7,8,2,3,1,4]=>[[1,2,3,4],[5,6,8],[7]]=>22 [5,8,4,7,2,1,6,3]=>[5,4,2,8,7,1,6,3]=>[3,6,1,7,8,2,4,5]=>[[1,2,4,5],[3,6,7,8]]=>19 [1,8,7,5,4,3,6,2]=>[5,4,3,8,7,6,1,2]=>[2,1,6,7,8,3,4,5]=>[[1,3,4,5],[2,6,7,8]]=>18 [1,6,8,4,3,7,5,2]=>[6,4,8,3,7,5,1,2]=>[2,1,5,7,3,8,4,6]=>[[1,3,4,6],[2,5,7,8]]=>15 [6,8,7,3,2,5,1,4]=>[6,3,8,2,1,7,5,4]=>[4,5,7,1,2,8,3,6]=>[[1,2,3,6],[4,5,7,8]]=>21 [6,8,1,7,3,2,5,4]=>[6,3,8,1,2,7,5,4]=>[4,5,7,2,1,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>17 [8,5,7,3,1,6,2,4]=>[5,3,1,8,2,7,6,4]=>[4,6,7,2,8,1,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>20 [8,5,7,1,3,2,6,4]=>[5,1,3,8,2,7,6,4]=>[4,6,7,2,8,3,1,5]=>[[1,2,3,5],[4,6,8],[7]]=>18 [8,5,7,3,1,2,6,4]=>[1,5,3,8,2,7,6,4]=>[4,6,7,2,8,3,5,1]=>[[1,2,3,5],[4,6,7],[8]]=>19 [5,8,4,7,1,2,6,3]=>[1,5,4,8,7,2,6,3]=>[3,6,2,7,8,4,5,1]=>[[1,2,4,5],[3,6,7],[8]]=>18 [5,8,4,1,7,2,6,3]=>[5,1,4,8,7,2,6,3]=>[3,6,2,7,8,4,1,5]=>[[1,2,4,5],[3,6,8],[7]]=>17 [5,8,4,7,1,6,2,3]=>[5,4,1,8,7,2,6,3]=>[3,6,2,7,8,1,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>19 [8,1,2,6,5,7,4,3]=>[6,5,8,7,1,2,4,3]=>[3,4,2,1,7,8,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>15 [8,2,5,6,7,4,1,3]=>[5,6,8,7,2,1,4,3]=>[3,4,1,2,7,8,6,5]=>[[1,2,5,6],[3,4,7],[8]]=>19 [4,8,5,7,1,6,2,3]=>[4,5,1,8,7,2,6,3]=>[3,6,2,7,8,1,5,4]=>[[1,2,4,5],[3,7],[6,8]]=>18 [4,8,5,7,1,2,6,3]=>[4,1,5,8,7,2,6,3]=>[3,6,2,7,8,5,1,4]=>[[1,2,4,5],[3,6],[7,8]]=>17 [4,8,5,1,7,2,6,3]=>[1,4,5,8,7,2,6,3]=>[3,6,2,7,8,5,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [8,5,3,1,7,2,6,4]=>[1,3,5,8,2,7,6,4]=>[4,6,7,2,8,5,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [8,5,3,7,1,2,6,4]=>[3,1,5,8,2,7,6,4]=>[4,6,7,2,8,5,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>18 [6,8,1,3,7,2,5,4]=>[3,6,8,1,2,7,5,4]=>[4,5,7,2,1,8,6,3]=>[[1,2,3,6],[4,7],[5,8]]=>16 [4,6,2,8,1,7,5,3]=>[4,6,8,2,7,1,5,3]=>[3,5,1,7,2,8,6,4]=>[[1,2,4,6],[3,5,7],[8]]=>15 [1,6,4,8,3,7,5,2]=>[4,6,8,3,7,5,1,2]=>[2,1,5,7,3,8,6,4]=>[[1,3,4,6],[2,5,7],[8]]=>14 [1,8,7,4,5,3,6,2]=>[4,5,3,8,7,6,1,2]=>[2,1,6,7,8,3,5,4]=>[[1,3,4,5],[2,6,7],[8]]=>17 [4,8,5,7,2,1,6,3]=>[4,5,2,8,7,1,6,3]=>[3,6,1,7,8,2,5,4]=>[[1,2,4,5],[3,6,7],[8]]=>18 [8,5,3,7,2,1,6,4]=>[3,5,2,8,1,7,6,4]=>[4,6,7,1,8,2,5,3]=>[[1,2,3,5],[4,6,7],[8]]=>19 [8,7,6,3,1,4,2,5]=>[1,3,4,2,8,7,6,5]=>[5,6,7,8,2,4,3,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [8,7,6,1,3,2,4,5]=>[3,1,2,4,8,7,6,5]=>[5,6,7,8,4,2,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [8,5,3,2,7,1,6,4]=>[3,2,5,8,1,7,6,4]=>[4,6,7,1,8,5,2,3]=>[[1,2,3,5],[4,6,8],[7]]=>18 [4,8,5,2,7,1,6,3]=>[4,2,5,8,7,1,6,3]=>[3,6,1,7,8,5,2,4]=>[[1,2,4,5],[3,6,8],[7]]=>17 [1,8,7,4,3,5,6,2]=>[4,3,5,8,7,6,1,2]=>[2,1,6,7,8,5,3,4]=>[[1,3,4,5],[2,6,8],[7]]=>16 [1,8,7,3,4,5,6,2]=>[3,4,5,8,7,6,1,2]=>[2,1,6,7,8,5,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [8,2,4,5,7,1,6,3]=>[2,4,5,8,7,1,6,3]=>[3,6,1,7,8,5,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [8,5,2,3,7,1,6,4]=>[2,3,5,8,1,7,6,4]=>[4,6,7,1,8,5,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [6,3,1,5,4,2,8,7]=>[6,1,3,5,4,8,2,7]=>[7,2,8,4,5,3,1,6]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [8,3,1,5,2,7,6,4]=>[1,3,8,7,2,5,6,4]=>[4,6,5,2,7,8,3,1]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [8,5,4,2,1,7,6,3]=>[2,1,5,8,4,7,6,3]=>[3,6,7,4,8,5,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>18 [6,5,4,2,1,3,8,7]=>[2,1,6,5,4,8,3,7]=>[7,3,8,4,5,6,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>14 [6,5,4,2,3,1,8,7]=>[2,6,5,4,3,8,1,7]=>[7,1,8,3,4,5,6,2]=>[[1,3,5,6,7],[2,4],[8]]=>15 [6,5,4,3,1,2,8,7]=>[1,6,5,4,3,8,2,7]=>[7,2,8,3,4,5,6,1]=>[[1,3,5,6,7],[2,4],[8]]=>15 [6,5,4,1,3,2,8,7]=>[6,1,5,4,3,8,2,7]=>[7,2,8,3,4,5,1,6]=>[[1,3,5,6,8],[2,4],[7]]=>14 [8,7,4,1,6,3,2,5]=>[1,4,8,3,2,7,6,5]=>[5,6,7,2,3,8,4,1]=>[[1,2,3,6],[4,5,7],[8]]=>20 [8,7,4,1,6,5,3,2]=>[8,1,7,4,6,5,3,2]=>[2,3,5,6,4,7,1,8]=>[[1,2,3,4,6,8],[5],[7]]=>22 [8,3,2,5,1,7,6,4]=>[3,2,8,7,1,5,6,4]=>[4,6,5,1,7,8,2,3]=>[[1,2,5,6],[3,7,8],[4]]=>15 [8,5,4,3,1,7,2,6]=>[5,4,3,1,8,2,7,6]=>[6,7,2,8,1,3,4,5]=>[[1,2,4,8],[3,6,7],[5]]=>18 [8,5,4,1,3,7,2,6]=>[5,1,4,8,3,2,7,6]=>[6,7,2,3,8,4,1,5]=>[[1,2,5,8],[3,4,6],[7]]=>17 [8,7,6,5,2,1,4,3]=>[2,8,1,7,6,5,4,3]=>[3,4,5,6,7,1,8,2]=>[[1,2,3,4,5,7],[6,8]]=>24 [8,7,4,3,6,2,1,5]=>[4,8,3,2,1,7,6,5]=>[5,6,7,1,2,3,8,4]=>[[1,2,3,7],[4,5,6,8]]=>22 [8,3,2,7,6,4,1,5]=>[8,7,3,2,4,1,6,5]=>[5,6,1,4,2,3,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>18 [2,1,8,7,6,4,3,5]=>[2,8,7,6,4,1,3,5]=>[5,3,1,4,6,7,8,2]=>[[1,4,5,6,7],[2,8],[3]]=>14 [2,1,8,7,6,4,5,3]=>[2,8,7,6,4,5,1,3]=>[3,1,5,4,6,7,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>15 [8,3,2,7,6,4,5,1]=>[8,7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>19 [8,7,4,3,6,2,5,1]=>[4,8,3,2,7,6,5,1]=>[1,5,6,7,2,3,8,4]=>[[1,2,3,4,7],[5,6,8]]=>23 [8,7,6,5,2,4,3,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[[1,2,3,4,5,6,8],[7]]=>26 [8,7,4,2,6,5,3,1]=>[8,2,4,7,6,5,3,1]=>[1,3,5,6,7,4,2,8]=>[[1,2,3,4,5,8],[6],[7]]=>23 [8,7,4,2,6,3,5,1]=>[4,2,8,3,7,6,5,1]=>[1,5,6,7,3,8,2,4]=>[[1,2,3,4,6],[5,8],[7]]=>22 [8,7,4,2,6,3,1,5]=>[4,2,8,3,1,7,6,5]=>[5,6,7,1,3,8,2,4]=>[[1,2,3,6],[4,5,8],[7]]=>21 [8,3,1,7,6,4,2,5]=>[3,8,7,1,4,2,6,5]=>[5,6,2,4,1,7,8,3]=>[[1,2,6,7],[3,4],[5,8]]=>17 [8,3,1,7,6,4,5,2]=>[1,8,7,3,4,6,5,2]=>[2,5,6,4,3,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>18 [8,3,1,7,6,5,4,2]=>[8,7,6,1,3,5,4,2]=>[2,4,5,3,1,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>19 [8,7,4,2,6,1,5,3]=>[2,4,8,1,7,6,5,3]=>[3,5,6,7,1,8,4,2]=>[[1,2,3,4,6],[5,7],[8]]=>21 [8,5,4,2,3,7,1,6]=>[2,5,4,8,3,1,7,6]=>[6,7,1,3,8,4,5,2]=>[[1,2,5,7],[3,4,6],[8]]=>18 [8,3,2,5,4,7,1,6]=>[3,5,8,2,4,1,7,6]=>[6,7,1,4,2,8,5,3]=>[[1,2,6],[3,4,7],[5,8]]=>15 [2,1,8,5,4,7,3,6]=>[2,8,5,7,4,1,3,6]=>[6,3,1,4,7,5,8,2]=>[[1,4,5,7],[2,6],[3,8]]=>11 [8,7,4,3,6,5,1,2]=>[4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[[1,2,3,4,7],[5,6,8]]=>23 [8,7,6,5,3,1,4,2]=>[1,3,8,7,6,5,4,2]=>[2,4,5,6,7,8,3,1]=>[[1,2,3,4,5,6],[7],[8]]=>25 [8,7,6,5,1,3,2,4]=>[3,1,2,8,7,6,5,4]=>[4,5,6,7,8,2,1,3]=>[[1,2,3,4,5],[6,8],[7]]=>23 [8,7,6,5,1,3,4,2]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>24 [8,7,6,5,1,4,3,2]=>[8,7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7,8]=>[[1,2,3,4,5,7,8],[6]]=>25 [8,7,6,5,4,1,3,2]=>[8,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,8]=>[[1,2,3,4,5,6,8],[7]]=>26 [8,7,4,3,6,1,5,2]=>[4,3,8,1,7,6,5,2]=>[2,5,6,7,1,8,3,4]=>[[1,2,3,4,6],[5,7,8]]=>22 [8,3,2,7,6,1,5,4]=>[8,7,3,2,6,1,5,4]=>[4,5,1,6,2,3,7,8]=>[[1,2,4,7,8],[3,5,6]]=>18 [2,1,8,7,6,3,5,4]=>[2,8,7,6,5,1,3,4]=>[4,3,1,5,6,7,8,2]=>[[1,4,5,6,7],[2,8],[3]]=>14 [8,7,6,5,1,4,2,3]=>[1,8,2,7,6,5,4,3]=>[3,4,5,6,7,2,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>24 [8,7,6,5,1,2,4,3]=>[8,1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>23 [7,3,5,1,8,4,6,2]=>[3,5,7,1,4,8,6,2]=>[2,6,8,4,1,7,5,3]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [4,5,6,2,1,8,7,3]=>[4,5,2,8,1,6,7,3]=>[3,7,6,1,8,2,5,4]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [7,6,5,1,8,4,3,2]=>[7,6,1,5,8,4,3,2]=>[2,3,4,8,5,1,6,7]=>[[1,2,3,4,7,8],[5],[6]]=>21 [7,6,4,1,8,5,3,2]=>[1,7,4,6,8,5,3,2]=>[2,3,5,8,6,4,7,1]=>[[1,2,3,4,7],[5],[6],[8]]=>20 [6,4,2,1,8,7,5,3]=>[2,8,1,4,6,7,5,3]=>[3,5,7,6,4,1,8,2]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [1,6,4,2,7,5,3,8]=>[1,4,6,7,5,2,3,8]=>[8,3,2,5,7,6,4,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [1,5,3,2,7,6,4,8]=>[5,7,1,3,6,2,4,8]=>[8,4,2,6,3,1,7,5]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [2,5,3,1,7,8,6,4]=>[2,5,7,8,3,6,1,4]=>[4,1,6,3,8,7,5,2]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [2,6,4,1,7,8,5,3]=>[4,2,6,7,8,5,1,3]=>[3,1,5,8,7,6,2,4]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [4,5,7,1,6,8,2,3]=>[4,7,1,5,6,2,8,3]=>[3,8,2,6,5,1,7,4]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [6,4,1,2,8,5,3,7]=>[4,1,2,6,8,5,3,7]=>[7,3,5,8,6,2,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [5,3,1,2,8,6,4,7]=>[1,3,5,8,2,6,4,7]=>[7,4,6,2,8,5,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [6,1,2,5,8,3,4,7]=>[6,1,8,2,3,5,4,7]=>[7,4,5,3,2,8,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [7,1,5,6,8,2,3,4]=>[5,1,7,6,2,3,8,4]=>[4,8,3,2,6,7,1,5]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [3,5,2,1,6,8,7,4]=>[5,3,8,2,6,7,1,4]=>[4,1,7,6,2,8,3,5]=>[[1,3,6,8],[2,4,7],[5]]=>10 [1,6,2,5,7,3,4,8]=>[6,5,1,2,7,3,4,8]=>[8,4,3,7,2,1,5,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [6,2,1,5,8,7,3,4]=>[6,8,2,5,1,3,7,4]=>[4,7,3,1,5,2,8,6]=>[[1,2,7],[3,5,8],[4,6]]=>13 [7,3,1,5,8,6,2,4]=>[3,7,8,1,5,2,6,4]=>[4,6,2,5,1,8,7,3]=>[[1,2,6],[3,4,7],[5,8]]=>15 [6,2,4,1,8,5,7,3]=>[2,6,1,8,4,5,7,3]=>[3,7,5,4,8,1,6,2]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [6,2,5,1,8,4,7,3]=>[2,6,8,5,1,4,7,3]=>[3,7,4,1,5,8,6,2]=>[[1,2,5,6],[3,7],[4,8]]=>14 [7,3,1,4,8,6,2,5]=>[7,8,1,3,4,2,6,5]=>[5,6,2,4,3,1,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [5,2,1,3,8,7,4,6]=>[8,2,5,1,3,7,4,6]=>[6,4,7,3,1,5,2,8]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [7,5,1,3,8,4,2,6]=>[1,5,7,3,4,2,8,6]=>[6,8,2,4,3,7,5,1]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [7,6,1,4,8,3,2,5]=>[4,7,6,1,3,2,8,5]=>[5,8,2,3,1,6,7,4]=>[[1,2,6,7],[3,4],[5,8]]=>17 [4,2,1,3,8,7,5,6]=>[8,2,4,1,7,3,5,6]=>[6,5,3,7,1,4,2,8]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [7,1,4,6,8,2,3,5]=>[7,4,1,6,2,3,8,5]=>[5,8,3,2,6,1,4,7]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [7,1,3,5,8,2,4,6]=>[5,7,3,1,2,4,8,6]=>[6,8,4,2,1,3,7,5]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [5,2,3,1,6,4,8,7]=>[2,3,1,5,6,8,4,7]=>[7,4,8,6,5,1,3,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>8 [8,6,7,3,5,2,4,1]=>[3,6,2,8,7,5,4,1]=>[1,4,5,7,8,2,6,3]=>[[1,2,3,4,5],[6,7],[8]]=>24 [6,3,5,2,4,1,8,7]=>[6,3,2,5,4,8,1,7]=>[7,1,8,4,5,2,3,6]=>[[1,3,5,8],[2,4],[6,7]]=>13 [5,2,4,1,6,3,8,7]=>[5,2,1,4,6,8,3,7]=>[7,3,8,6,4,1,2,5]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [5,2,6,3,4,1,8,7]=>[5,2,3,6,4,8,1,7]=>[7,1,8,4,6,3,2,5]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [5,2,7,3,4,1,8,6]=>[2,5,3,7,4,8,1,6]=>[6,1,8,4,7,3,5,2]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [7,3,4,1,5,2,8,6]=>[3,1,4,5,2,7,8,6]=>[6,8,7,2,5,4,1,3]=>[[1,2],[3,5],[4,8],[6],[7]]=>12 [4,1,8,6,7,3,5,2]=>[6,8,7,4,1,3,5,2]=>[2,5,3,1,4,7,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>16 [8,6,7,3,4,1,5,2]=>[3,1,6,4,8,7,5,2]=>[2,5,7,8,4,6,1,3]=>[[1,2,3,4],[5,6],[7,8]]=>22 [8,5,7,3,4,1,6,2]=>[3,1,8,5,4,7,6,2]=>[2,6,7,4,5,8,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>21 [8,4,7,3,5,1,6,2]=>[4,3,1,8,5,7,6,2]=>[2,6,7,5,8,1,3,4]=>[[1,2,3,5],[4,7,8],[6]]=>20 [5,1,8,4,7,3,6,2]=>[5,8,7,4,1,3,6,2]=>[2,6,3,1,4,7,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>16 [2,1,7,4,6,3,8,5]=>[7,2,6,4,8,1,3,5]=>[5,3,1,8,4,6,2,7]=>[[1,4,6,8],[2,5],[3,7]]=>9 [3,1,7,4,6,2,8,5]=>[7,3,6,1,4,8,2,5]=>[5,2,8,4,1,6,3,7]=>[[1,3,6,8],[2,4],[5,7]]=>10 [4,1,7,3,6,2,8,5]=>[7,1,4,6,3,8,2,5]=>[5,2,8,3,6,4,1,7]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [5,1,7,3,6,2,8,4]=>[5,7,3,1,2,6,8,4]=>[4,8,6,2,1,3,7,5]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [6,2,7,3,5,1,8,4]=>[2,6,7,3,1,5,8,4]=>[4,8,5,1,3,7,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [6,2,8,4,7,3,5,1]=>[6,8,4,2,3,7,5,1]=>[1,5,7,3,2,4,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>18 [8,4,7,3,6,2,5,1]=>[4,8,7,3,2,6,5,1]=>[1,5,6,2,3,7,8,4]=>[[1,2,3,6,7],[4,5,8]]=>22 [7,3,6,2,5,1,8,4]=>[3,7,6,2,1,5,8,4]=>[4,8,5,1,2,6,7,3]=>[[1,2,6,7],[3,5,8],[4]]=>16 [6,2,5,1,7,3,8,4]=>[2,6,5,1,3,7,8,4]=>[4,8,7,3,1,5,6,2]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [7,4,6,2,3,1,8,5]=>[2,7,4,3,1,6,8,5]=>[5,8,6,1,3,4,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [6,2,3,1,7,4,8,5]=>[2,3,6,1,4,7,8,5]=>[5,8,7,4,1,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>10 [7,3,8,5,6,2,4,1]=>[7,3,8,5,2,6,4,1]=>[1,4,6,2,5,8,3,7]=>[[1,2,3,6],[4,5,8],[7]]=>21 [8,5,6,2,4,1,7,3]=>[2,5,1,6,4,8,7,3]=>[3,7,8,4,6,1,5,2]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [3,1,5,2,8,6,7,4]=>[8,3,1,5,6,7,2,4]=>[4,2,7,6,5,1,3,8]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [2,1,6,3,8,5,7,4]=>[6,2,8,5,7,1,3,4]=>[4,3,1,7,5,8,2,6]=>[[1,4,6],[2,5,8],[3,7]]=>9 [8,4,6,2,5,1,7,3]=>[4,6,2,1,5,8,7,3]=>[3,7,8,5,1,2,6,4]=>[[1,2,3],[4,6,7],[5,8]]=>18 [7,3,8,4,6,2,5,1]=>[3,7,8,4,2,6,5,1]=>[1,5,6,2,4,8,7,3]=>[[1,2,3,6],[4,5,7],[8]]=>20 [6,2,7,3,8,4,5,1]=>[2,6,7,3,4,8,5,1]=>[1,5,8,4,3,7,6,2]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [2,1,8,5,6,3,7,4]=>[5,6,2,8,7,1,3,4]=>[4,3,1,7,8,2,6,5]=>[[1,4,5],[2,6,7],[3,8]]=>11 [4,1,7,3,8,5,6,2]=>[7,8,1,4,3,5,6,2]=>[2,6,5,3,4,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [7,3,8,4,5,1,6,2]=>[3,7,4,1,5,8,6,2]=>[2,6,8,5,1,4,7,3]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [8,4,5,1,7,3,6,2]=>[8,1,4,5,3,7,6,2]=>[2,6,7,3,5,4,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [7,3,6,2,8,4,5,1]=>[3,7,6,2,4,8,5,1]=>[1,5,8,4,2,6,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>18 [7,8,5,6,1,3,4,2]=>[7,1,5,3,8,6,4,2]=>[2,4,6,8,3,5,1,7]=>[[1,2,3,4],[5,6,8],[7]]=>22 [1,3,8,4,7,2,5,6]=>[1,8,7,3,4,2,5,6]=>[6,5,2,4,3,7,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>10 [4,6,1,2,5,7,3,8]=>[1,4,6,2,5,7,3,8]=>[8,3,7,5,2,6,4,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [1,4,8,2,5,7,3,6]=>[8,1,4,7,5,2,3,6]=>[6,3,2,5,7,4,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [7,8,2,4,5,6,1,3]=>[2,7,4,5,1,8,6,3]=>[3,6,8,1,5,4,7,2]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [7,8,1,5,4,6,3,2]=>[1,7,8,5,4,6,3,2]=>[2,3,6,4,5,8,7,1]=>[[1,2,3,5,6],[4,7],[8]]=>20 [7,8,2,1,6,3,4,5]=>[7,2,1,3,4,8,6,5]=>[5,6,8,4,3,1,2,7]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [7,8,3,5,6,4,1,2]=>[7,3,5,1,8,6,4,2]=>[2,4,6,8,1,5,3,7]=>[[1,2,3,4],[5,6,8],[7]]=>22 [5,6,1,4,3,2,7,8]=>[5,6,1,4,3,2,7,8]=>[8,7,2,3,4,1,6,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [2,4,8,5,3,1,6,7]=>[2,8,4,5,3,1,6,7]=>[7,6,1,3,5,4,8,2]=>[[1,4,5,7],[2],[3],[6],[8]]=>11 [2,5,8,1,4,7,6,3]=>[2,5,8,7,4,6,1,3]=>[3,1,6,4,7,8,5,2]=>[[1,3,5,6],[2,4,7],[8]]=>13 [3,5,8,4,7,6,1,2]=>[5,8,7,3,4,1,6,2]=>[2,6,1,4,3,7,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>17 [5,6,2,1,4,7,8,3]=>[2,1,5,6,4,7,8,3]=>[3,8,7,4,6,5,1,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [4,7,5,1,3,6,8,2]=>[1,4,7,5,3,6,8,2]=>[2,8,6,3,5,7,4,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>14 [5,7,3,6,1,4,8,2]=>[5,3,7,1,6,4,8,2]=>[2,8,4,6,1,7,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>16 [5,3,6,7,2,1,8,4]=>[3,5,6,2,1,7,8,4]=>[4,8,7,1,2,6,5,3]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [1,4,7,2,5,3,8,6]=>[1,4,7,5,8,2,3,6]=>[6,3,2,8,5,7,4,1]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [3,6,1,8,4,2,5,7]=>[1,6,3,8,4,2,5,7]=>[7,5,2,4,8,3,6,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [1,6,7,5,8,2,4,3]=>[6,1,7,5,8,4,2,3]=>[3,2,4,8,5,7,1,6]=>[[1,3,4,6],[2,5],[7,8]]=>15 [3,6,5,7,8,2,1,4]=>[6,5,7,8,3,2,1,4]=>[4,1,2,3,8,7,5,6]=>[[1,3,4,5,8],[2,6],[7]]=>16 [5,2,7,6,1,4,3,8]=>[7,5,2,6,1,4,3,8]=>[8,3,4,1,6,2,5,7]=>[[1,3,5,8],[2,6,7],[4]]=>13 [2,7,5,6,8,4,1,3]=>[5,7,6,8,4,2,1,3]=>[3,1,2,4,8,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>17 [2,7,1,8,5,3,4,6]=>[2,7,1,8,3,5,4,6]=>[6,4,5,3,8,1,7,2]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [4,3,8,5,6,7,1,2]=>[4,3,8,5,6,1,7,2]=>[2,7,1,6,5,8,3,4]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [4,2,8,1,6,3,7,5]=>[8,4,2,1,6,7,3,5]=>[5,3,7,6,1,2,4,8]=>[[1,3,7,8],[2,4],[5,6]]=>12 [3,4,2,8,6,1,7,5]=>[3,8,4,6,2,7,1,5]=>[5,1,7,2,6,4,8,3]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [1,7,3,8,5,2,6,4]=>[1,7,8,5,3,6,2,4]=>[4,2,6,3,5,8,7,1]=>[[1,3,5,6],[2,4,7],[8]]=>13 [5,7,8,6,3,2,1,4]=>[7,8,5,3,2,1,6,4]=>[4,6,1,2,3,5,8,7]=>[[1,2,5,6,7],[3,4,8]]=>21 [5,7,8,6,1,3,4,2]=>[7,5,1,8,3,6,4,2]=>[2,4,6,3,8,1,5,7]=>[[1,2,3,5],[4,7,8],[6]]=>20 [7,6,5,8,1,3,4,2]=>[7,1,6,5,3,8,4,2]=>[2,4,8,3,5,6,1,7]=>[[1,2,3,6,8],[4,5],[7]]=>21 [1,6,4,3,8,2,5,7]=>[6,8,4,1,3,2,5,7]=>[7,5,2,3,1,4,8,6]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [3,6,5,4,1,2,7,8]=>[6,5,3,1,4,2,7,8]=>[8,7,2,4,1,3,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [2,4,5,1,7,8,6,3]=>[4,5,7,8,2,6,1,3]=>[3,1,6,2,8,7,5,4]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [2,6,3,4,5,8,1,7]=>[2,3,6,8,4,5,1,7]=>[7,1,5,4,8,6,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [7,3,6,4,8,5,1,2]=>[3,7,4,6,1,8,5,2]=>[2,5,8,1,6,4,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [7,2,1,4,8,3,5,6]=>[7,2,4,1,3,5,8,6]=>[6,8,5,3,1,4,2,7]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [7,1,6,5,3,8,4,2]=>[1,7,6,5,8,3,4,2]=>[2,4,3,8,5,6,7,1]=>[[1,2,4,6,7],[3,5],[8]]=>17 [7,2,5,6,3,8,1,4]=>[7,2,5,3,6,1,8,4]=>[4,8,1,6,3,5,2,7]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [5,6,2,7,3,1,4,8]=>[2,5,6,3,1,7,4,8]=>[8,4,7,1,3,6,5,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>13 [1,7,5,2,4,8,3,6]=>[7,1,5,8,2,4,3,6]=>[6,3,4,2,8,5,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [6,1,5,2,8,3,4,7]=>[1,6,5,2,3,8,4,7]=>[7,4,8,3,2,5,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [6,7,5,3,8,4,1,2]=>[6,3,7,5,1,8,4,2]=>[2,4,8,1,5,7,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>21 [7,5,6,4,1,2,8,3]=>[1,5,2,7,6,4,8,3]=>[3,8,4,6,7,2,5,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [7,5,2,4,3,1,6,8]=>[5,2,4,3,1,7,6,8]=>[8,6,7,1,3,4,2,5]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [6,8,1,4,2,5,7,3]=>[1,2,6,4,8,5,7,3]=>[3,7,5,8,4,6,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [1,6,4,2,5,7,3,8]=>[1,4,6,5,7,2,3,8]=>[8,3,2,7,5,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [7,1,3,5,6,4,2,8]=>[1,7,5,6,3,4,2,8]=>[8,2,4,3,6,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [7,2,3,5,4,1,6,8]=>[5,2,3,4,1,7,6,8]=>[8,6,7,1,4,3,2,5]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [6,8,1,2,3,4,7,5]=>[1,2,3,6,8,4,7,5]=>[5,7,4,8,6,3,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [1,5,7,2,3,8,6,4]=>[1,5,7,8,2,6,3,4]=>[4,3,6,2,8,7,5,1]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [5,1,8,2,3,6,7,4]=>[5,1,8,2,3,6,7,4]=>[4,7,6,3,2,8,1,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [5,8,2,3,7,6,4,1]=>[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[[1,2,3,5,8],[4,6],[7]]=>18 [6,2,8,1,3,7,4,5]=>[2,6,1,8,3,4,7,5]=>[5,7,4,3,8,1,6,2]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [6,8,2,4,1,5,7,3]=>[2,1,6,4,8,5,7,3]=>[3,7,5,8,4,6,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [2,6,4,1,5,7,3,8]=>[4,2,6,5,7,1,3,8]=>[8,3,1,7,5,6,2,4]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [2,6,3,5,7,1,4,8]=>[6,2,5,7,3,1,4,8]=>[8,4,1,3,7,5,2,6]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [2,1,4,7,8,5,6,3]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [2,5,3,7,6,1,8,4]=>[7,2,5,6,3,8,1,4]=>[4,1,8,3,6,5,2,7]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [2,5,7,8,1,4,6,3]=>[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[[1,3,5,6],[2,4,8],[7]]=>14 [5,3,4,1,8,6,7,2]=>[3,5,1,8,4,6,7,2]=>[2,7,6,4,8,1,5,3]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [5,2,8,4,6,1,7,3]=>[8,2,5,4,1,6,7,3]=>[3,7,6,1,4,5,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [5,2,1,8,6,3,7,4]=>[2,8,5,1,3,6,7,4]=>[4,7,6,3,1,5,8,2]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [4,2,8,6,5,3,7,1]=>[8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [4,2,8,5,7,6,3,1]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[[1,2,3,6,8],[4],[5],[7]]=>17 [1,4,2,7,5,8,6,3]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [5,3,8,7,6,2,4,1]=>[8,7,3,5,2,6,4,1]=>[1,4,6,2,5,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>20 [5,8,4,7,6,2,1,3]=>[5,8,7,4,2,1,6,3]=>[3,6,1,2,4,7,8,5]=>[[1,2,5,6,7],[3,4,8]]=>21 [5,8,7,4,3,6,1,2]=>[8,7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7,8]=>[[1,2,5,6,7,8],[3,4]]=>22 [6,4,8,3,1,7,2,5]=>[4,6,3,1,8,2,7,5]=>[5,7,2,8,1,3,6,4]=>[[1,2,4],[3,6,7],[5,8]]=>17 [6,3,8,7,2,5,1,4]=>[8,6,3,7,2,1,5,4]=>[4,5,1,2,7,3,6,8]=>[[1,2,5,7,8],[3,4,6]]=>19 [5,8,3,7,1,6,4,2]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[[1,2,3,5,7],[4,6,8]]=>19 [5,1,3,8,6,7,2,4]=>[3,8,5,6,1,2,7,4]=>[4,7,2,1,6,5,8,3]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [1,5,3,7,8,6,2,4]=>[7,8,5,6,1,3,2,4]=>[4,2,3,1,6,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>12 [6,4,8,1,2,7,3,5]=>[1,4,6,2,8,3,7,5]=>[5,7,3,8,2,6,4,1]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [6,8,5,1,2,3,7,4]=>[1,2,3,8,6,5,7,4]=>[4,7,5,6,8,3,2,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>16 [6,8,5,2,4,3,7,1]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[[1,2,4,5,6,8],[3],[7]]=>20 [3,5,6,1,8,4,7,2]=>[5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>13 [3,5,7,1,2,8,6,4]=>[1,7,5,8,3,6,2,4]=>[4,2,6,3,8,5,7,1]=>[[1,3,5,7],[2,4,6],[8]]=>12 [4,2,6,1,7,3,5,8]=>[4,2,6,1,7,3,5,8]=>[8,5,3,7,1,6,2,4]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [4,6,3,1,2,7,5,8]=>[1,6,4,3,7,2,5,8]=>[8,5,2,7,3,4,6,1]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [4,5,3,1,7,6,2,8]=>[4,1,5,7,3,6,2,8]=>[8,2,6,3,7,5,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [3,5,2,7,8,1,6,4]=>[5,7,8,3,2,6,1,4]=>[4,1,6,2,3,8,7,5]=>[[1,3,5,6],[2,4,7],[8]]=>13 [3,1,4,7,5,6,2,8]=>[1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>8 [3,4,6,5,8,7,1,2]=>[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [3,1,4,5,8,6,7,2]=>[1,8,3,4,5,6,7,2]=>[2,7,6,5,4,3,8,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>9 [3,4,6,8,5,2,7,1]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[[1,2,4,7,8],[3],[5],[6]]=>15 [4,2,5,6,1,8,7,3]=>[2,4,5,8,1,6,7,3]=>[3,7,6,1,8,5,4,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [4,5,3,1,6,8,7,2]=>[4,1,5,8,3,6,7,2]=>[2,7,6,3,8,5,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [2,1,7,5,8,6,4,3]=>[5,7,8,6,2,4,1,3]=>[3,1,4,2,6,8,7,5]=>[[1,3,5,6],[2,4,7],[8]]=>13 [4,1,2,7,3,8,6,5]=>[4,7,8,1,2,6,3,5]=>[5,3,6,2,1,8,7,4]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [6,4,1,7,5,2,3,8]=>[4,6,1,2,7,5,3,8]=>[8,3,5,7,2,1,6,4]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [3,1,2,6,8,5,4,7]=>[8,6,1,3,5,2,4,7]=>[7,4,2,5,3,1,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [1,3,7,2,4,8,6,5]=>[1,7,8,3,6,2,4,5]=>[5,4,2,6,3,8,7,1]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [2,4,1,7,8,6,5,3]=>[7,8,4,6,2,5,1,3]=>[3,1,5,2,6,4,8,7]=>[[1,3,5,7],[2,4,6,8]]=>12 [2,7,4,1,5,8,6,3]=>[4,2,5,7,8,6,1,3]=>[3,1,6,8,7,5,2,4]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [2,3,7,1,5,8,6,4]=>[2,3,7,8,5,6,1,4]=>[4,1,6,5,8,7,3,2]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [5,2,8,1,3,7,4,6]=>[2,5,1,8,3,7,4,6]=>[6,4,7,3,8,1,5,2]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [2,1,6,8,3,4,7,5]=>[6,2,8,1,7,3,4,5]=>[5,4,3,7,1,8,2,6]=>[[1,4,6],[2,7,8],[3],[5]]=>9 [2,6,8,3,1,5,7,4]=>[2,3,8,6,5,7,1,4]=>[4,1,7,5,6,8,3,2]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [3,6,4,8,5,1,7,2]=>[6,3,8,4,1,5,7,2]=>[2,7,5,1,4,8,3,6]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [6,3,7,4,5,1,8,2]=>[6,3,4,1,7,5,8,2]=>[2,8,5,7,1,4,3,6]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [2,6,3,7,5,8,1,4]=>[6,7,2,5,8,3,1,4]=>[4,1,3,8,5,2,7,6]=>[[1,3,4,7],[2,5],[6,8]]=>13 [4,7,2,3,6,8,1,5]=>[2,4,7,6,8,3,1,5]=>[5,1,3,8,6,7,4,2]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [5,2,7,3,6,8,1,4]=>[5,7,2,3,6,1,8,4]=>[4,8,1,6,3,2,7,5]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [5,7,4,6,2,8,1,3]=>[7,5,4,2,6,1,8,3]=>[3,8,1,6,2,4,5,7]=>[[1,2,6,7,8],[3,4],[5]]=>18 [5,7,3,4,6,1,8,2]=>[3,7,5,4,1,6,8,2]=>[2,8,6,1,4,5,7,3]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [5,3,8,4,6,1,7,2]=>[3,8,5,4,1,6,7,2]=>[2,7,6,1,4,5,8,3]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [8,2,3,5,1,6,7,4]=>[2,3,1,8,5,6,7,4]=>[4,7,6,5,8,1,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [4,2,8,3,6,7,1,5]=>[8,4,2,6,7,3,1,5]=>[5,1,3,7,6,2,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>14 [5,2,8,4,7,1,6,3]=>[8,2,5,4,7,1,6,3]=>[3,6,1,7,4,5,2,8]=>[[1,2,4,8],[3,5,6],[7]]=>16 [5,8,4,7,3,1,6,2]=>[5,1,8,7,4,3,6,2]=>[2,6,3,4,7,8,1,5]=>[[1,2,4,5,6],[3,8],[7]]=>20 [6,3,8,2,7,1,5,4]=>[6,8,3,2,7,1,5,4]=>[4,5,1,7,2,3,8,6]=>[[1,2,4,7],[3,5,6,8]]=>17 [6,3,1,8,2,4,7,5]=>[3,1,6,8,2,4,7,5]=>[5,7,4,2,8,6,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [5,3,8,1,2,6,4,7]=>[1,5,3,8,2,6,4,7]=>[7,4,6,2,8,3,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [5,7,4,1,6,2,3,8]=>[7,1,5,4,2,6,3,8]=>[8,3,6,2,4,5,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [5,1,8,4,2,7,3,6]=>[1,5,8,4,2,7,3,6]=>[6,3,7,2,4,8,5,1]=>[[1,3,6],[2,5,7],[4],[8]]=>13 [6,8,5,3,1,7,4,2]=>[1,3,8,6,5,7,4,2]=>[2,4,7,5,6,8,3,1]=>[[1,2,3,5,6],[4],[7],[8]]=>20 [5,6,3,7,1,2,4,8]=>[5,3,1,6,2,7,4,8]=>[8,4,7,2,6,1,3,5]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [1,6,3,7,2,8,4,5]=>[6,3,7,1,2,8,4,5]=>[5,4,8,2,1,7,3,6]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [6,3,2,7,8,5,1,4]=>[3,6,7,8,2,1,5,4]=>[4,5,1,2,8,7,6,3]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [4,7,2,5,8,1,6,3]=>[7,4,2,5,8,1,6,3]=>[3,6,1,8,5,2,4,7]=>[[1,2,4,8],[3,5,7],[6]]=>15 [8,1,3,4,6,2,5,7]=>[6,3,4,1,2,5,8,7]=>[7,8,5,2,1,4,3,6]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [4,8,3,5,6,1,7,2]=>[4,3,5,1,8,6,7,2]=>[2,7,6,8,1,5,3,4]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [5,6,2,3,7,8,1,4]=>[2,5,3,6,7,1,8,4]=>[4,8,1,7,6,3,5,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>14 [6,8,7,3,4,1,2,5]=>[3,1,8,6,4,2,7,5]=>[5,7,2,4,6,8,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>20 [6,8,4,7,1,5,3,2]=>[1,6,8,4,7,5,3,2]=>[2,3,5,7,4,8,6,1]=>[[1,2,3,4,6],[5,7],[8]]=>21 [6,8,4,7,2,5,3,1]=>[6,4,8,2,7,5,3,1]=>[1,3,5,7,2,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>22 [5,4,8,7,2,6,3,1]=>[8,5,4,7,2,6,3,1]=>[1,3,6,2,7,4,5,8]=>[[1,2,3,5,8],[4,6,7]]=>20 [5,3,8,7,6,1,2,4]=>[8,7,3,1,5,2,6,4]=>[4,6,2,5,1,3,7,8]=>[[1,2,7,8],[3,4],[5,6]]=>18 [4,3,8,7,6,1,2,5]=>[8,7,4,1,6,3,2,5]=>[5,2,3,6,1,4,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>17 [4,8,3,7,5,1,2,6]=>[8,4,3,1,7,5,2,6]=>[6,2,5,7,1,3,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>17 [8,3,4,6,5,1,2,7]=>[6,3,4,1,5,2,8,7]=>[7,8,2,5,1,4,3,6]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [3,8,4,7,5,1,2,6]=>[3,8,4,1,7,5,2,6]=>[6,2,5,7,1,4,8,3]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [3,4,8,7,6,1,2,5]=>[8,7,6,3,1,4,2,5]=>[5,2,4,1,3,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>16 [3,5,8,1,7,6,4,2]=>[8,5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>16 [2,5,8,7,1,6,3,4]=>[5,8,7,2,1,6,3,4]=>[4,3,6,1,2,7,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>15 [2,4,8,7,1,6,3,5]=>[4,8,7,6,2,1,3,5]=>[5,3,1,2,6,7,8,4]=>[[1,4,5,6,7],[2,8],[3]]=>14 [8,2,4,6,1,5,3,7]=>[6,4,2,5,1,3,8,7]=>[7,8,3,1,5,2,4,6]=>[[1,2,7,8],[3,5],[4,6]]=>14 [1,8,4,7,2,5,3,6]=>[1,2,8,7,4,5,3,6]=>[6,3,5,4,7,8,2,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>13 [2,5,8,3,7,6,4,1]=>[8,5,7,2,6,3,4,1]=>[1,4,3,6,2,7,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [1,4,2,8,7,6,5,3]=>[8,7,6,1,4,5,2,3]=>[3,2,5,4,1,6,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>12 [1,3,8,2,7,6,4,5]=>[8,7,6,1,3,2,4,5]=>[5,4,2,3,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>11 [8,1,3,2,6,5,4,7]=>[6,3,5,1,2,4,8,7]=>[7,8,4,2,1,5,3,6]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [8,2,3,1,6,5,4,7]=>[6,2,3,5,1,4,8,7]=>[7,8,4,1,5,3,2,6]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [3,4,1,8,7,6,5,2]=>[8,7,3,6,1,4,5,2]=>[2,5,4,1,6,3,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>14 [4,2,1,8,7,6,5,3]=>[8,7,2,6,1,4,5,3]=>[3,5,4,1,6,2,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>14 [4,2,8,7,1,6,3,5]=>[4,8,7,2,1,6,3,5]=>[5,3,6,1,2,7,8,4]=>[[1,3,6,7],[2,5,8],[4]]=>15 [5,2,8,7,1,6,3,4]=>[5,8,7,2,1,3,6,4]=>[4,6,3,1,2,7,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>16 [5,2,8,1,7,6,4,3]=>[8,5,7,2,6,1,4,3]=>[3,4,1,6,2,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>16 [5,3,8,2,7,6,4,1]=>[8,3,5,7,2,6,4,1]=>[1,4,6,2,7,5,3,8]=>[[1,2,3,5,8],[4,6],[7]]=>18 [6,8,3,2,7,5,4,1]=>[3,8,2,6,7,5,4,1]=>[1,4,5,7,6,2,8,3]=>[[1,2,3,4,7],[5,8],[6]]=>20 [6,8,2,7,1,5,3,4]=>[6,8,2,1,3,7,5,4]=>[4,5,7,3,1,2,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>18 [6,8,7,2,1,4,3,5]=>[2,8,1,6,4,3,7,5]=>[5,7,3,4,6,1,8,2]=>[[1,2,5,7],[3,4],[6,8]]=>18 [8,5,6,1,2,4,3,7]=>[1,2,5,6,4,3,8,7]=>[7,8,3,4,6,5,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [6,8,1,2,7,5,4,3]=>[8,6,7,1,2,5,4,3]=>[3,4,5,2,1,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>17 [5,2,8,3,7,6,4,1]=>[8,5,7,2,3,6,4,1]=>[1,4,6,3,2,7,5,8]=>[[1,2,3,6,8],[4,7],[5]]=>17 [5,1,8,3,7,6,4,2]=>[8,5,7,1,6,3,4,2]=>[2,4,3,6,1,7,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [4,8,1,7,2,5,3,6]=>[1,4,8,2,7,5,3,6]=>[6,3,5,7,2,8,4,1]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [8,4,1,6,2,5,3,7]=>[4,6,1,2,5,3,8,7]=>[7,8,3,5,2,1,6,4]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [8,3,1,2,6,5,4,7]=>[6,1,3,5,2,4,8,7]=>[7,8,4,2,5,3,1,6]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [3,1,8,2,7,6,4,5]=>[8,3,1,7,6,2,4,5]=>[5,4,2,6,7,1,3,8]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [3,1,2,8,7,6,5,4]=>[8,7,6,1,3,5,2,4]=>[4,2,5,3,1,6,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>12 [4,1,3,8,7,6,5,2]=>[8,7,4,6,1,3,5,2]=>[2,5,3,1,6,4,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>14 [3,1,4,8,7,6,5,2]=>[8,7,6,1,3,4,5,2]=>[2,5,4,3,1,6,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>13 [2,1,8,3,7,6,4,5]=>[8,7,2,1,6,3,4,5]=>[5,4,3,6,1,2,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [2,8,1,3,7,5,4,6]=>[2,8,7,1,3,5,4,6]=>[6,4,5,3,1,7,8,2]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [8,2,1,3,6,5,4,7]=>[6,2,5,1,3,4,8,7]=>[7,8,4,3,1,5,2,6]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [8,1,2,3,6,5,4,7]=>[6,5,1,2,3,4,8,7]=>[7,8,4,3,2,1,5,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [1,2,8,3,7,6,4,5]=>[1,8,7,2,6,3,4,5]=>[5,4,3,6,2,7,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>10 [1,4,3,6,8,2,5,7]=>[8,4,6,3,1,2,5,7]=>[7,5,2,1,3,6,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [3,1,6,2,5,8,4,7]=>[3,6,8,1,5,2,4,7]=>[7,4,2,5,1,8,6,3]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [3,5,1,8,2,4,7,6]=>[1,8,5,3,7,2,4,6]=>[6,4,2,7,3,5,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [1,4,5,2,8,3,7,6]=>[4,5,8,1,7,2,3,6]=>[6,3,2,7,1,8,5,4]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [1,4,2,6,5,8,3,7]=>[6,8,1,4,5,2,3,7]=>[7,3,2,5,4,1,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [3,1,6,5,8,2,4,7]=>[6,8,3,1,5,2,4,7]=>[7,4,2,5,1,3,8,6]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [1,5,2,6,4,8,3,7]=>[5,6,8,1,4,2,3,7]=>[7,3,2,4,1,8,6,5]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [1,2,5,4,7,3,8,6]=>[5,7,4,8,1,2,3,6]=>[6,3,2,1,8,4,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [4,1,2,6,3,8,7,5]=>[4,8,1,2,6,7,3,5]=>[5,3,7,6,2,1,8,4]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [1,4,7,5,2,8,3,6]=>[4,7,5,1,8,2,3,6]=>[6,3,2,8,1,5,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [7,1,3,5,2,8,4,6]=>[5,3,7,1,2,4,8,6]=>[6,8,4,2,1,7,3,5]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [7,2,5,1,8,3,4,6]=>[2,5,1,7,3,4,8,6]=>[6,8,4,3,7,1,5,2]=>[[1,2],[3,5],[4,7],[6,8]]=>13 [1,4,5,2,8,7,3,6]=>[8,4,5,1,7,2,3,6]=>[6,3,2,7,1,5,4,8]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [1,6,4,2,8,3,7,5]=>[6,4,8,1,2,7,3,5]=>[5,3,7,2,1,8,4,6]=>[[1,3,6],[2,7,8],[4],[5]]=>10 [1,4,2,8,3,7,6,5]=>[8,4,7,1,6,2,3,5]=>[5,3,2,6,1,7,4,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [1,2,5,3,8,7,6,4]=>[8,7,1,5,6,2,3,4]=>[4,3,2,6,5,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [1,6,4,2,8,7,3,5]=>[6,8,4,1,2,7,3,5]=>[5,3,7,2,1,4,8,6]=>[[1,3,7],[2,6,8],[4],[5]]=>11 [6,2,1,8,7,3,4,5]=>[8,6,2,1,3,4,7,5]=>[5,7,4,3,1,2,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [1,7,6,4,2,8,3,5]=>[7,6,1,4,2,8,3,5]=>[5,3,8,2,4,1,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [1,7,5,2,6,3,8,4]=>[5,1,2,7,6,8,3,4]=>[4,3,8,6,7,2,1,5]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [1,6,2,7,5,3,8,4]=>[6,1,7,2,5,8,3,4]=>[4,3,8,5,2,7,1,6]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [1,2,7,6,5,3,8,4]=>[1,7,6,5,8,2,3,4]=>[4,3,2,8,5,6,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [1,5,2,6,3,8,7,4]=>[5,8,1,2,6,7,3,4]=>[4,3,7,6,2,1,8,5]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [1,6,5,2,7,3,8,4]=>[6,1,5,2,7,8,3,4]=>[4,3,8,7,2,5,1,6]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [1,5,7,4,2,8,3,6]=>[7,5,4,1,8,2,3,6]=>[6,3,2,8,1,4,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [4,1,2,8,6,3,7,5]=>[8,1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1,8]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [3,1,8,6,2,4,7,5]=>[1,6,3,8,7,2,4,5]=>[5,4,2,7,8,3,6,1]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [7,1,8,3,2,4,6,5]=>[3,1,2,7,8,4,6,5]=>[5,6,4,8,7,2,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [1,4,2,8,7,3,6,5]=>[4,8,7,1,6,2,3,5]=>[5,3,2,6,1,7,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [1,7,4,2,8,3,6,5]=>[7,1,4,8,2,6,3,5]=>[5,3,6,2,8,4,1,7]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [8,1,5,4,2,7,3,6]=>[5,4,1,8,2,3,7,6]=>[6,7,3,2,8,1,4,5]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [1,4,8,5,2,7,3,6]=>[4,5,1,8,7,2,3,6]=>[6,3,2,7,8,1,5,4]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [8,5,3,1,7,2,4,6]=>[3,1,5,2,8,4,7,6]=>[6,7,4,8,2,5,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [8,6,2,1,7,3,4,5]=>[6,2,1,3,4,8,7,5]=>[5,7,8,4,3,1,2,6]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [1,8,6,4,2,7,3,5]=>[6,4,1,2,8,7,3,5]=>[5,3,7,8,2,1,4,6]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [1,5,2,7,3,8,6,4]=>[5,7,8,1,2,6,3,4]=>[4,3,6,2,1,8,7,5]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [1,2,8,5,3,7,6,4]=>[8,1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [1,7,2,8,5,3,6,4]=>[1,7,2,8,5,6,3,4]=>[4,3,6,5,8,2,7,1]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [1,7,4,2,8,6,3,5]=>[7,8,1,4,2,6,3,5]=>[5,3,6,2,4,1,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [7,1,8,3,2,6,4,5]=>[3,7,1,2,8,4,6,5]=>[5,6,4,8,2,1,7,3]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [1,8,7,3,2,6,4,5]=>[8,3,1,2,7,6,4,5]=>[5,4,6,7,2,1,3,8]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [1,4,2,8,7,6,3,5]=>[8,7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [1,2,8,6,3,7,5,4]=>[1,8,6,7,5,2,3,4]=>[4,3,2,5,7,6,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [8,1,7,6,3,4,5,2]=>[1,3,8,7,6,4,5,2]=>[2,5,4,6,7,8,3,1]=>[[1,2,4,5,6],[3],[7],[8]]=>19 [6,4,1,5,2,7,3,8]=>[4,1,2,6,5,7,3,8]=>[8,3,7,5,6,2,1,4]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [8,1,4,5,3,7,6,2]=>[1,4,8,5,7,3,6,2]=>[2,6,3,7,5,8,4,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [6,1,4,5,3,8,7,2]=>[4,6,5,8,1,3,7,2]=>[2,7,3,1,8,5,6,4]=>[[1,2,5,7],[3,6],[4,8]]=>13 [7,1,4,5,3,8,6,2]=>[1,7,4,5,8,3,6,2]=>[2,6,3,8,5,4,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [7,1,4,5,3,6,8,2]=>[1,7,4,5,3,6,8,2]=>[2,8,6,3,5,4,7,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>13 [8,1,4,5,3,6,7,2]=>[4,5,1,3,8,6,7,2]=>[2,7,6,8,3,1,5,4]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [6,3,5,7,2,1,4,8]=>[6,3,5,2,1,7,4,8]=>[8,4,7,1,2,5,3,6]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [6,3,5,8,2,1,7,4]=>[6,3,5,2,8,1,7,4]=>[4,7,1,8,2,5,3,6]=>[[1,2,4,8],[3,5,6],[7]]=>16 [6,3,5,7,2,1,8,4]=>[6,3,5,2,1,7,8,4]=>[4,8,7,1,2,5,3,6]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [8,4,5,7,3,6,1,2]=>[8,4,5,3,1,7,6,2]=>[2,6,7,1,3,5,4,8]=>[[1,2,3,8],[4,5,6],[7]]=>21 [6,4,5,8,3,7,2,1]=>[4,6,8,5,3,7,2,1]=>[1,2,7,3,5,8,6,4]=>[[1,2,3,5,6],[4,7],[8]]=>20 [5,8,7,6,2,4,1,3]=>[5,8,7,2,1,6,4,3]=>[3,4,6,1,2,7,8,5]=>[[1,2,3,6,7],[4,5,8]]=>22 [5,4,8,6,3,1,7,2]=>[8,5,4,1,6,3,7,2]=>[2,7,3,6,1,4,5,8]=>[[1,2,4,7,8],[3,6],[5]]=>18 [5,4,1,8,2,3,7,6]=>[1,5,4,8,2,7,3,6]=>[6,3,7,2,8,4,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [8,4,1,5,2,6,3,7]=>[4,1,2,5,6,3,8,7]=>[7,8,3,6,5,2,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>13 [6,3,5,8,2,1,4,7]=>[6,8,3,2,1,5,4,7]=>[7,4,5,1,2,3,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>15 [2,3,4,1,8,6,5,7]=>[2,8,3,4,6,1,5,7]=>[7,5,1,6,4,3,8,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [8,3,5,6,2,1,4,7]=>[5,6,3,2,1,4,8,7]=>[7,8,4,1,2,3,6,5]=>[[1,2,6,7],[3,5],[4,8]]=>16 [2,3,8,5,1,4,7,6]=>[5,2,3,8,7,1,4,6]=>[6,4,1,7,8,3,2,5]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [2,3,8,5,6,1,7,4]=>[2,8,5,6,3,7,1,4]=>[4,1,7,3,6,5,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [7,4,5,6,3,1,8,2]=>[4,5,1,7,6,3,8,2]=>[2,8,3,6,7,1,5,4]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [7,3,5,6,2,1,4,8]=>[3,7,5,2,1,6,4,8]=>[8,4,6,1,2,5,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [2,7,6,5,1,3,4,8]=>[2,1,7,6,5,3,4,8]=>[8,4,3,5,6,7,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [2,7,6,5,8,3,1,4]=>[7,6,5,2,8,3,1,4]=>[4,1,3,8,2,5,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>17 [8,7,5,6,1,4,2,3]=>[5,1,2,8,7,6,4,3]=>[3,4,6,7,8,2,1,5]=>[[1,2,3,4,5],[6,8],[7]]=>23 [2,6,4,1,8,5,7,3]=>[4,6,2,8,5,7,1,3]=>[3,1,7,5,8,2,6,4]=>[[1,3,5],[2,4,7],[6,8]]=>12 [2,6,1,3,8,5,7,4]=>[8,2,6,1,5,7,3,4]=>[4,3,7,5,1,6,2,8]=>[[1,3,6,8],[2,4],[5,7]]=>10 [2,7,6,8,4,3,1,5]=>[2,7,6,8,4,3,1,5]=>[5,1,3,4,8,6,7,2]=>[[1,3,4,5,7],[2,6],[8]]=>17 [2,7,6,1,8,3,4,5]=>[7,2,1,6,3,8,4,5]=>[5,4,8,3,6,1,2,7]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [8,4,1,5,2,3,7,6]=>[4,1,2,5,8,3,7,6]=>[6,7,3,8,5,2,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [8,3,5,7,2,4,1,6]=>[8,5,3,2,4,1,7,6]=>[6,7,1,4,2,3,5,8]=>[[1,2,6,7,8],[3,4],[5]]=>18 [2,3,4,1,8,7,5,6]=>[8,7,2,3,4,1,5,6]=>[6,5,1,4,3,2,7,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>8 [2,8,6,1,7,3,4,5]=>[6,2,1,3,8,7,4,5]=>[5,4,7,8,3,1,2,6]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [2,3,8,1,6,4,7,5]=>[6,2,3,8,7,1,4,5]=>[5,4,1,7,8,3,2,6]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [2,8,6,1,4,3,5,7]=>[2,8,1,4,3,6,5,7]=>[7,5,6,3,4,1,8,2]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [1,2,3,4,5,6,7,9,8]=>[9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>1 [2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>1 [1,2,3,4,5,6,7,8,10,9]=>[10,1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1,10]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>1 [2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,1,2]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>1 [9,1,2,3,4,5,6,7,10,8]=>[1,2,3,4,5,6,7,9,10,8]=>[8,10,9,7,6,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>9 [1,8,2,3,4,5,6,9,7]=>[1,2,3,4,5,8,9,6,7]=>[7,6,9,8,5,4,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>7 [7,1,2,3,4,5,6,9,8]=>[1,2,3,4,5,7,9,6,8]=>[8,6,9,7,5,4,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>7 [8,4,3,6,5,1,7,2]=>[4,6,3,1,5,8,7,2]=>[2,7,8,5,1,3,6,4]=>[[1,2,3],[4,6,7],[5,8]]=>18 [8,5,6,3,4,1,7,2]=>[5,3,1,6,4,8,7,2]=>[2,7,8,4,6,1,3,5]=>[[1,2,3],[4,5,8],[6,7]]=>20 [8,6,5,4,3,1,7,2]=>[1,6,5,4,3,8,7,2]=>[2,7,8,3,4,5,6,1]=>[[1,2,3,6,7],[4,5],[8]]=>22 [1,7,6,5,4,2,3,8]=>[1,7,6,5,4,2,3,8]=>[8,3,2,4,5,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>14 [1,8,6,5,2,7,3,4]=>[6,1,5,2,8,7,3,4]=>[4,3,7,8,2,5,1,6]=>[[1,3,4],[2,6,8],[5],[7]]=>15 [6,8,5,4,2,1,7,3]=>[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[[1,2,4,5,6],[3,8],[7]]=>20 [5,8,6,2,4,1,7,3]=>[2,5,1,8,6,4,7,3]=>[3,7,4,6,8,1,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [4,8,2,6,5,1,7,3]=>[4,8,6,2,1,5,7,3]=>[3,7,5,1,2,6,8,4]=>[[1,2,6,7],[3,5,8],[4]]=>16 [3,2,1,7,6,4,5,8]=>[7,3,6,2,1,4,5,8]=>[8,5,4,1,2,6,3,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [4,1,3,7,6,2,5,8]=>[7,4,6,1,3,2,5,8]=>[8,5,2,3,1,6,4,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [5,1,7,3,6,2,4,8]=>[5,7,3,1,2,6,4,8]=>[8,4,6,2,1,3,7,5]=>[[1,3,7],[2,6,8],[4],[5]]=>11 [6,1,7,5,3,2,4,8]=>[1,6,7,3,2,5,4,8]=>[8,4,5,2,3,7,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>13 [7,1,6,5,2,4,3,8]=>[7,1,6,5,2,4,3,8]=>[8,3,4,2,5,6,1,7]=>[[1,3,5,6,8],[2],[4],[7]]=>14 [8,1,6,5,2,3,7,4]=>[1,2,8,3,6,5,7,4]=>[4,7,5,6,3,8,2,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>15 [1,2,7,6,3,4,5,8]=>[1,2,7,6,3,4,5,8]=>[8,5,4,3,6,7,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>7 [1,2,8,3,7,4,5,6]=>[1,2,8,3,7,4,5,6]=>[6,5,4,7,3,8,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>8 [8,1,7,2,6,3,5,4]=>[8,1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>16 [7,1,8,2,6,4,3,5]=>[1,7,8,2,4,3,6,5]=>[5,6,3,4,2,8,7,1]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [6,1,8,2,4,7,3,5]=>[6,8,1,4,2,3,7,5]=>[5,7,3,2,4,1,8,6]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [5,1,8,3,2,7,4,6]=>[5,8,1,3,2,7,4,6]=>[6,4,7,2,3,1,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [3,2,1,8,4,7,5,6]=>[3,8,7,2,1,4,5,6]=>[6,5,4,1,2,7,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [3,2,8,7,1,6,5,4]=>[3,8,7,6,2,5,1,4]=>[4,1,5,2,6,7,8,3]=>[[1,3,5,6,7],[2,4,8]]=>15 [4,8,2,7,1,6,5,3]=>[4,8,7,2,6,1,5,3]=>[3,5,1,6,2,7,8,4]=>[[1,2,4,6,7],[3,5,8]]=>17 [5,8,7,2,1,6,4,3]=>[5,8,2,7,1,6,4,3]=>[3,4,6,1,7,2,8,5]=>[[1,2,3,5,7],[4,6,8]]=>19 [6,8,7,1,3,5,4,2]=>[6,8,1,3,7,5,4,2]=>[2,4,5,7,3,1,8,6]=>[[1,2,3,4,7],[5,8],[6]]=>20 [7,8,6,1,5,3,4,2]=>[7,1,8,3,6,5,4,2]=>[2,4,5,6,3,8,1,7]=>[[1,2,3,4,6],[5,8],[7]]=>22 [8,7,6,1,5,4,3,2]=>[8,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,8]=>[[1,2,3,4,6,7,8],[5]]=>24 [1,8,7,2,6,5,3,4]=>[1,8,7,2,6,5,3,4]=>[4,3,5,6,2,7,8,1]=>[[1,3,4,6,7],[2],[5],[8]]=>16 [7,6,8,1,4,3,5,2]=>[7,6,1,4,3,8,5,2]=>[2,5,8,3,4,1,6,7]=>[[1,2,3,7,8],[4,5],[6]]=>20 [6,5,8,3,2,1,7,4]=>[6,5,3,2,8,1,7,4]=>[4,7,1,8,2,3,5,6]=>[[1,2,4,7,8],[3,5,6]]=>18 [8,5,7,3,1,6,4,2]=>[1,5,8,3,7,6,4,2]=>[2,4,6,7,3,8,5,1]=>[[1,2,3,4,6],[5,7],[8]]=>21 [1,6,8,4,2,7,3,5]=>[1,6,8,4,2,7,3,5]=>[5,3,7,2,4,8,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>13 [1,5,4,8,2,7,3,6]=>[8,5,4,1,7,2,3,6]=>[6,3,2,7,1,4,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [7,4,3,8,1,5,6,2]=>[4,3,7,1,5,8,6,2]=>[2,6,8,5,1,7,3,4]=>[[1,2,3],[4,6,8],[5,7]]=>17 [7,4,3,1,2,6,5,8]=>[1,4,3,7,2,6,5,8]=>[8,5,6,2,7,3,4,1]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [1,5,4,2,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[8,7,6,3,2,4,5,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>5 [8,5,1,4,2,3,7,6]=>[1,5,2,4,8,3,7,6]=>[6,7,3,8,4,2,5,1]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [6,5,1,4,3,2,7,8]=>[6,5,1,4,3,2,7,8]=>[8,7,2,3,4,1,5,6]=>[[1,4,5,7,8],[2],[3],[6]]=>12 [5,6,1,3,4,2,7,8]=>[5,1,3,6,4,2,7,8]=>[8,7,2,4,6,3,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [4,6,2,1,5,3,7,8]=>[4,2,6,1,5,3,7,8]=>[8,7,3,5,1,6,2,4]=>[[1,4,6],[2,7,8],[3],[5]]=>9 [3,2,7,1,4,6,5,8]=>[3,2,7,6,1,4,5,8]=>[8,5,4,1,6,7,2,3]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [5,7,1,3,2,6,4,8]=>[5,1,3,7,2,6,4,8]=>[8,4,6,2,7,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [7,6,1,2,5,4,3,8]=>[7,6,1,2,5,4,3,8]=>[8,3,4,5,2,1,6,7]=>[[1,3,4,7,8],[2],[5],[6]]=>14 [1,7,2,3,6,4,5,8]=>[1,7,2,3,6,4,5,8]=>[8,5,4,6,3,2,7,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>7 [8,7,1,2,3,6,5,4]=>[8,7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>16 [7,8,1,2,3,5,6,4]=>[7,1,2,3,5,8,6,4]=>[4,6,8,5,3,2,1,7]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [5,8,1,3,2,4,7,6]=>[3,1,2,5,8,7,4,6]=>[6,4,7,8,5,2,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [4,8,2,1,3,5,7,6]=>[2,1,4,8,3,7,5,6]=>[6,5,7,3,8,4,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [3,2,8,1,4,5,7,6]=>[3,2,8,1,7,4,5,6]=>[6,5,4,7,1,8,2,3]=>[[1,4,6],[2,7,8],[3],[5]]=>9 [4,1,3,2,5,6,7,8]=>[4,1,3,2,5,6,7,8]=>[8,7,6,5,2,3,1,4]=>[[1,6,8],[2],[3],[4],[5],[7]]=>4 [5,1,2,4,3,6,7,8]=>[5,1,2,4,3,6,7,8]=>[8,7,6,3,4,2,1,5]=>[[1,5,8],[2],[3],[4],[6],[7]]=>5 [6,1,2,3,5,4,7,8]=>[6,1,2,3,5,4,7,8]=>[8,7,4,5,3,2,1,6]=>[[1,4,8],[2],[3],[5],[6],[7]]=>6 [7,1,2,3,4,6,5,8]=>[7,1,2,3,4,6,5,8]=>[8,5,6,4,3,2,1,7]=>[[1,3,8],[2],[4],[5],[6],[7]]=>7 [8,1,2,3,4,5,7,6]=>[8,1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>8 [5,3,7,8,6,1,2,4]=>[7,8,3,1,5,2,6,4]=>[4,6,2,5,1,3,8,7]=>[[1,2,7],[3,4,8],[5,6]]=>17 [3,8,4,5,7,1,2,6]=>[8,3,4,1,7,5,2,6]=>[6,2,5,7,1,4,3,8]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [3,4,8,6,7,1,2,5]=>[6,8,7,3,1,4,2,5]=>[5,2,4,1,3,7,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>15 [3,5,6,2,7,4,8,1]=>[5,6,3,7,2,4,8,1]=>[1,8,4,2,7,3,6,5]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [2,5,6,1,8,7,4,3]=>[5,8,2,6,7,4,1,3]=>[3,1,4,7,6,2,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>13 [8,2,4,5,1,6,3,7]=>[4,5,2,6,1,3,8,7]=>[7,8,3,1,6,2,5,4]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [1,4,8,6,2,3,7,5]=>[1,6,4,8,7,2,3,5]=>[5,3,2,7,8,4,6,1]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [1,5,6,8,2,3,7,4]=>[5,1,6,8,2,7,3,4]=>[4,3,7,2,8,6,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [1,5,6,2,8,4,7,3]=>[8,1,5,6,4,7,2,3]=>[3,2,7,4,6,5,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [2,5,6,3,4,7,8,1]=>[5,2,6,3,4,7,8,1]=>[1,8,7,4,3,6,2,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [1,4,2,6,8,5,7,3]=>[8,6,1,4,5,7,2,3]=>[3,2,7,5,4,1,6,8]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [8,2,3,1,5,6,4,7]=>[2,3,5,6,1,4,8,7]=>[7,8,4,1,6,5,3,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>11 [3,4,1,6,7,8,5,2]=>[3,6,7,8,1,4,5,2]=>[2,5,4,1,8,7,6,3]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [4,3,1,7,6,8,5,2]=>[7,1,4,6,8,3,5,2]=>[2,5,3,8,6,4,1,7]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [6,7,3,1,5,8,4,2]=>[1,3,6,7,5,8,4,2]=>[2,4,8,5,7,6,3,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>17 [6,7,2,1,8,5,4,3]=>[2,6,7,8,1,5,4,3]=>[3,4,5,1,8,7,6,2]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [6,7,2,8,1,5,3,4]=>[6,2,7,1,3,8,5,4]=>[4,5,8,3,1,7,2,6]=>[[1,2,3],[4,6,8],[5,7]]=>17 [6,7,1,3,4,8,5,2]=>[1,6,3,4,7,8,5,2]=>[2,5,8,7,4,3,6,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [5,1,7,3,4,8,6,2]=>[1,7,5,8,3,4,6,2]=>[2,6,4,3,8,5,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [5,1,7,8,2,3,6,4]=>[1,7,5,8,2,3,6,4]=>[4,6,3,2,8,5,7,1]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [3,8,1,2,7,4,5,6]=>[1,8,3,2,4,7,5,6]=>[6,5,7,4,2,3,8,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [3,1,4,5,7,8,6,2]=>[7,8,1,3,4,5,6,2]=>[2,6,5,4,3,1,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [2,1,8,3,4,7,6,5]=>[8,2,7,1,6,3,4,5]=>[5,4,3,6,1,7,2,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [8,2,1,3,4,6,5,7]=>[2,6,1,3,4,5,8,7]=>[7,8,5,4,3,1,6,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>9 [1,8,2,3,4,5,7,6]=>[8,1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>7 [1,2,8,3,4,6,7,5]=>[1,8,2,6,7,3,4,5]=>[5,4,3,7,6,2,8,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [4,2,1,6,5,8,7,3]=>[2,6,8,1,4,5,7,3]=>[3,7,5,4,1,8,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [5,2,6,1,4,8,7,3]=>[5,2,6,8,1,4,7,3]=>[3,7,4,1,8,6,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>12 [5,2,6,4,1,8,7,3]=>[5,6,2,8,1,4,7,3]=>[3,7,4,1,8,2,6,5]=>[[1,2,5],[3,6,7],[4,8]]=>13 [5,2,7,4,8,1,6,3]=>[7,5,2,4,8,1,6,3]=>[3,6,1,8,4,2,5,7]=>[[1,2,4,8],[3,5,7],[6]]=>15 [5,2,7,4,8,6,1,3]=>[7,5,8,2,4,1,6,3]=>[3,6,1,4,2,8,5,7]=>[[1,2,6,8],[3,4,7],[5]]=>16 [5,7,2,3,8,6,1,4]=>[2,5,7,8,3,1,6,4]=>[4,6,1,3,8,7,5,2]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [5,7,2,3,8,1,6,4]=>[2,5,7,3,8,1,6,4]=>[4,6,1,8,3,7,5,2]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [5,6,2,3,1,8,7,4]=>[2,5,3,8,1,6,7,4]=>[4,7,6,1,8,3,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [5,6,2,1,3,8,7,4]=>[2,1,5,8,3,6,7,4]=>[4,7,6,3,8,5,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [5,6,3,1,2,8,7,4]=>[1,5,3,8,2,6,7,4]=>[4,7,6,2,8,3,5,1]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [5,6,3,2,1,8,7,4]=>[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[[1,2,5,8],[3,6,7],[4]]=>14 [5,7,3,2,8,6,1,4]=>[5,3,7,8,2,1,6,4]=>[4,6,1,2,8,7,3,5]=>[[1,2,5,8],[3,4,6],[7]]=>17 [6,7,3,8,2,1,5,4]=>[3,6,2,1,7,8,5,4]=>[4,5,8,7,1,2,6,3]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [6,7,3,8,1,2,5,4]=>[3,1,6,2,7,8,5,4]=>[4,5,8,7,2,6,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [5,7,1,3,8,2,6,4]=>[5,7,1,3,8,2,6,4]=>[4,6,2,8,3,1,7,5]=>[[1,2,4],[3,5,7],[6,8]]=>14 [1,5,7,4,8,3,6,2]=>[7,5,8,4,3,6,1,2]=>[2,1,6,3,4,8,5,7]=>[[1,3,5,6,8],[2,4,7]]=>14 [5,1,7,4,8,6,2,3]=>[7,5,8,4,1,2,6,3]=>[3,6,2,1,4,8,5,7]=>[[1,2,6,8],[3,5,7],[4]]=>15 [6,7,3,8,5,2,1,4]=>[3,6,7,2,1,8,5,4]=>[4,5,8,1,2,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [6,7,8,3,1,4,2,5]=>[1,6,3,7,4,2,8,5]=>[5,8,2,4,7,3,6,1]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [6,7,1,8,3,5,2,4]=>[6,3,7,1,2,8,5,4]=>[4,5,8,2,1,7,3,6]=>[[1,2,3],[4,6,8],[5,7]]=>17 [5,7,2,1,8,3,6,4]=>[2,5,1,7,8,3,6,4]=>[4,6,3,8,7,1,5,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [6,7,2,8,1,3,5,4]=>[6,2,1,3,7,8,5,4]=>[4,5,8,7,3,1,2,6]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [6,7,2,8,3,5,1,4]=>[6,2,3,7,1,8,5,4]=>[4,5,8,1,7,3,2,6]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [6,2,7,8,4,5,1,3]=>[6,7,2,8,4,1,5,3]=>[3,5,1,4,8,2,7,6]=>[[1,2,5],[3,4,7],[6,8]]=>18 [6,2,7,8,4,1,5,3]=>[6,7,2,1,8,4,5,3]=>[3,5,4,8,1,2,7,6]=>[[1,2,4],[3,6,7],[5,8]]=>17 [6,2,7,8,1,4,5,3]=>[6,2,7,1,8,4,5,3]=>[3,5,4,8,1,7,2,6]=>[[1,2,4],[3,6,8],[5,7]]=>16 [5,2,7,1,8,4,6,3]=>[5,7,8,2,1,4,6,3]=>[3,6,4,1,2,8,7,5]=>[[1,2,6],[3,5,7],[4,8]]=>14 [4,2,1,7,8,5,6,3]=>[7,8,2,1,4,5,6,3]=>[3,6,5,4,1,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [4,1,2,7,8,6,5,3]=>[7,8,6,1,2,4,5,3]=>[3,5,4,2,1,6,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [6,2,7,8,5,1,4,3]=>[6,7,2,8,5,1,4,3]=>[3,4,1,5,8,2,7,6]=>[[1,2,4,5],[3,6,7],[8]]=>18 [6,2,7,8,5,4,1,3]=>[6,7,8,5,2,1,4,3]=>[3,4,1,2,5,8,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>19 [5,7,2,1,8,6,3,4]=>[2,5,7,1,8,3,6,4]=>[4,6,3,8,1,7,5,2]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [5,7,1,2,8,6,3,4]=>[5,7,1,2,8,3,6,4]=>[4,6,3,8,2,1,7,5]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [5,1,7,2,8,6,4,3]=>[7,8,1,5,6,2,4,3]=>[3,4,2,6,5,1,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>14 [1,6,7,8,3,5,4,2]=>[6,3,7,8,5,4,1,2]=>[2,1,4,5,8,7,3,6]=>[[1,3,4,5],[2,6,8],[7]]=>16 [6,1,7,8,2,5,4,3]=>[1,6,7,8,5,2,4,3]=>[3,4,2,5,8,7,6,1]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [6,7,1,8,2,5,3,4]=>[1,6,7,2,3,8,5,4]=>[4,5,8,3,2,7,6,1]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [6,7,8,2,4,3,1,5]=>[2,6,7,4,3,1,8,5]=>[5,8,1,3,4,7,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [6,7,1,8,5,2,3,4]=>[6,1,7,2,3,8,5,4]=>[4,5,8,3,2,7,1,6]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [1,6,7,8,5,3,4,2]=>[6,7,3,8,5,4,1,2]=>[2,1,4,5,8,3,7,6]=>[[1,3,4,5],[2,6,7],[8]]=>17 [6,7,1,8,5,3,2,4]=>[6,7,3,1,2,8,5,4]=>[4,5,8,2,1,3,7,6]=>[[1,2,3],[4,6,7],[5,8]]=>18 [6,7,8,4,1,3,2,5]=>[1,6,7,4,3,2,8,5]=>[5,8,2,3,4,7,6,1]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [6,3,8,5,2,7,4,1]=>[8,6,3,2,5,7,4,1]=>[1,4,7,5,2,3,6,8]=>[[1,2,3,7,8],[4,6],[5]]=>19 [6,3,4,5,8,7,2,1]=>[3,4,6,8,5,7,2,1]=>[1,2,7,5,8,6,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [3,6,4,8,5,7,1,2]=>[6,3,8,4,5,1,7,2]=>[2,7,1,5,4,8,3,6]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [3,4,7,1,8,6,5,2]=>[7,8,3,4,6,1,5,2]=>[2,5,1,6,4,3,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>14 [3,6,8,7,1,4,2,5]=>[1,8,6,3,7,4,2,5]=>[5,2,4,7,3,6,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [5,3,7,1,6,8,2,4]=>[3,7,1,5,6,2,8,4]=>[4,8,2,6,5,1,7,3]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [4,3,8,5,6,7,2,1]=>[4,3,8,5,6,7,2,1]=>[1,2,7,6,5,8,3,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [5,8,1,7,6,2,4,3]=>[5,8,7,1,2,6,4,3]=>[3,4,6,2,1,7,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>18 [4,6,1,2,7,8,5,3]=>[1,4,6,7,8,2,5,3]=>[3,5,2,8,7,6,4,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [3,6,4,2,8,7,5,1]=>[3,6,8,4,7,2,5,1]=>[1,5,2,7,4,8,6,3]=>[[1,2,4,6],[3,5,7],[8]]=>15 [6,3,7,5,2,8,1,4]=>[6,7,3,2,5,1,8,4]=>[4,8,1,5,2,3,7,6]=>[[1,2,6,7],[3,4,8],[5]]=>17 [6,5,2,7,4,8,1,3]=>[6,2,5,7,4,1,8,3]=>[3,8,1,4,7,5,2,6]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [5,7,1,4,8,3,2,6]=>[7,5,8,1,4,3,2,6]=>[6,2,3,4,1,8,5,7]=>[[1,3,4,6,8],[2,7],[5]]=>15 [7,8,3,5,1,4,6,2]=>[3,7,1,5,4,8,6,2]=>[2,6,8,4,5,1,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>19 [5,8,1,4,6,7,2,3]=>[5,1,8,4,6,2,7,3]=>[3,7,2,6,4,8,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [6,5,8,4,3,7,2,1]=>[6,8,5,4,3,7,2,1]=>[1,2,7,3,4,5,8,6]=>[[1,2,3,5,6,7],[4,8]]=>22 [6,3,7,4,2,8,5,1]=>[6,3,4,2,7,8,5,1]=>[1,5,8,7,2,4,3,6]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [8,7,1,6,2,4,5,3]=>[1,8,2,7,4,6,5,3]=>[3,5,6,4,7,2,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>19 [3,8,6,7,1,4,5,2]=>[3,6,1,8,7,4,5,2]=>[2,5,4,7,8,1,6,3]=>[[1,2,4,5],[3,7],[6,8]]=>18 [4,3,8,7,1,5,6,2]=>[4,8,7,3,1,5,6,2]=>[2,6,5,1,3,7,8,4]=>[[1,2,6,7],[3,5,8],[4]]=>16 [8,3,6,1,2,5,7,4]=>[1,3,8,2,6,5,7,4]=>[4,7,5,6,2,8,3,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [5,4,2,7,3,6,8,1]=>[5,4,2,7,3,6,8,1]=>[1,8,6,3,7,2,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [7,5,3,6,4,2,8,1]=>[3,5,7,6,4,2,8,1]=>[1,8,2,4,6,7,5,3]=>[[1,2,4,5,6],[3],[7],[8]]=>19 [6,4,1,5,3,8,2,7]=>[1,6,4,5,8,3,2,7]=>[7,2,3,8,5,4,6,1]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [8,5,2,6,4,7,3,1]=>[5,6,2,4,8,7,3,1]=>[1,3,7,8,4,2,6,5]=>[[1,2,3,4],[5,7],[6,8]]=>20 [8,2,6,3,4,7,5,1]=>[2,3,4,8,6,7,5,1]=>[1,5,7,6,8,4,3,2]=>[[1,2,3,5],[4],[6],[7],[8]]=>17 [7,2,6,3,5,4,8,1]=>[7,2,6,3,5,4,8,1]=>[1,8,4,5,3,6,2,7]=>[[1,2,4,6,8],[3],[5],[7]]=>16 [6,2,7,4,3,5,8,1]=>[6,4,2,3,7,5,8,1]=>[1,8,5,7,3,2,4,6]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [5,7,3,6,4,2,8,1]=>[5,7,3,6,4,2,8,1]=>[1,8,2,4,6,3,7,5]=>[[1,2,4,5,7],[3,8],[6]]=>18 [3,7,6,4,5,2,8,1]=>[3,7,6,4,5,2,8,1]=>[1,8,2,5,4,6,7,3]=>[[1,2,4,6,7],[3],[5],[8]]=>17 [2,7,6,5,3,4,8,1]=>[2,7,6,5,3,4,8,1]=>[1,8,4,3,5,6,7,2]=>[[1,2,5,6,7],[3],[4],[8]]=>16 [6,5,4,3,1,8,2,7]=>[6,5,4,3,1,8,2,7]=>[7,2,8,1,3,4,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>16 [8,6,5,4,2,7,3,1]=>[2,6,5,4,8,7,3,1]=>[1,3,7,8,4,5,6,2]=>[[1,2,3,4,7],[5,6],[8]]=>23 [8,5,4,1,7,2,6,3]=>[5,1,4,8,2,7,6,3]=>[3,6,7,2,8,4,1,5]=>[[1,2,3,5],[4,6,8],[7]]=>18 [7,5,4,1,8,3,2,6]=>[5,1,4,7,3,2,8,6]=>[6,8,2,3,7,4,1,5]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [1,6,5,2,8,3,4,7]=>[1,6,5,2,8,3,4,7]=>[7,4,3,8,2,5,6,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [5,4,6,3,1,8,2,7]=>[5,4,6,3,1,8,2,7]=>[7,2,8,1,3,6,4,5]=>[[1,3,6,8],[2,5],[4,7]]=>14 [6,5,8,4,2,7,3,1]=>[6,2,8,5,4,7,3,1]=>[1,3,7,4,5,8,2,6]=>[[1,2,3,5,6],[4,8],[7]]=>21 [7,8,5,3,2,6,4,1]=>[3,2,7,5,8,6,4,1]=>[1,4,6,8,5,7,2,3]=>[[1,2,3,4],[5,6],[7,8]]=>22 [6,8,3,1,7,2,5,4]=>[1,3,6,8,2,7,5,4]=>[4,5,7,2,8,6,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [1,8,6,3,7,5,2,4]=>[6,8,7,1,5,3,2,4]=>[4,2,3,5,1,7,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>16 [8,7,5,2,6,4,3,1]=>[2,8,5,7,6,4,3,1]=>[1,3,4,6,7,5,8,2]=>[[1,2,3,4,5,7],[6],[8]]=>24 [8,7,1,6,2,5,4,3]=>[8,7,1,6,2,5,4,3]=>[3,4,5,2,6,1,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>20 [2,8,1,7,3,5,6,4]=>[8,2,1,7,5,6,3,4]=>[4,3,6,5,7,1,2,8]=>[[1,3,5,8],[2,4],[6,7]]=>13 [4,2,8,5,7,3,6,1]=>[8,4,7,2,5,3,6,1]=>[1,6,3,5,2,7,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [5,1,7,6,8,3,2,4]=>[7,5,6,3,1,2,8,4]=>[4,8,2,1,3,6,5,7]=>[[1,2,6,8],[3,5],[4,7]]=>15 [6,7,3,1,8,4,2,5]=>[1,3,6,7,4,2,8,5]=>[5,8,2,4,7,6,3,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [1,7,3,8,4,5,2,6]=>[1,7,3,8,4,5,2,6]=>[6,2,5,4,8,3,7,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [1,7,2,8,5,3,4,6]=>[7,1,2,8,3,5,4,6]=>[6,4,5,3,8,2,1,7]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [7,6,1,8,4,3,2,5]=>[7,6,4,1,3,2,8,5]=>[5,8,2,3,1,4,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>18 [8,6,1,7,4,2,5,3]=>[1,8,2,6,4,7,5,3]=>[3,5,7,4,6,2,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [8,1,2,7,3,4,6,5]=>[8,1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>12 [8,2,6,1,7,3,5,4]=>[2,1,8,6,7,3,5,4]=>[4,5,3,7,6,8,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>16 [5,4,2,7,1,8,3,6]=>[5,4,2,7,1,8,3,6]=>[6,3,8,1,7,2,4,5]=>[[1,3,7,8],[2,5],[4,6]]=>13 [4,7,5,6,8,3,2,1]=>[4,7,5,6,8,3,2,1]=>[1,2,3,8,6,5,7,4]=>[[1,2,3,4,7],[5],[6],[8]]=>20 [6,5,4,8,2,7,3,1]=>[6,5,4,8,2,7,3,1]=>[1,3,7,2,8,4,5,6]=>[[1,2,3,5,8],[4,6,7]]=>20 [6,5,1,8,7,4,2,3]=>[6,8,5,1,2,7,4,3]=>[3,4,7,2,1,5,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>18 [8,6,4,7,5,3,2,1]=>[4,6,8,7,5,3,2,1]=>[1,2,3,5,7,8,6,4]=>[[1,2,3,4,5,6],[7],[8]]=>25 [5,1,8,3,7,6,2,4]=>[8,5,7,3,1,2,6,4]=>[4,6,2,1,3,7,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>15 [5,4,8,1,7,2,6,3]=>[5,4,8,1,7,2,6,3]=>[3,6,2,7,1,8,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>16 [7,5,8,3,2,6,4,1]=>[5,3,2,7,8,6,4,1]=>[1,4,6,8,7,2,3,5]=>[[1,2,3,4],[5,7,8],[6]]=>21 [3,6,8,2,4,7,5,1]=>[6,3,8,2,7,4,5,1]=>[1,5,4,7,2,8,3,6]=>[[1,2,4,6],[3,7,8],[5]]=>16 [5,7,3,8,2,6,4,1]=>[5,7,3,8,2,6,4,1]=>[1,4,6,2,8,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>19 [5,4,6,8,2,7,3,1]=>[5,4,6,8,2,7,3,1]=>[1,3,7,2,8,6,4,5]=>[[1,2,3,5],[4,6,8],[7]]=>18 [4,7,2,8,6,3,5,1]=>[4,7,2,8,6,3,5,1]=>[1,5,3,6,8,2,7,4]=>[[1,2,4,5],[3,7],[6,8]]=>18 [2,3,8,7,4,5,6,1]=>[2,3,8,7,4,5,6,1]=>[1,6,5,4,7,8,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>14 [7,2,8,6,4,3,5,1]=>[2,7,8,4,3,6,5,1]=>[1,5,6,3,4,8,7,2]=>[[1,2,3,6],[4,5,7],[8]]=>20 [2,1,8,7,5,6,3,4]=>[5,8,7,6,2,1,3,4]=>[4,3,1,2,6,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>14 [8,2,7,6,3,5,4,1]=>[8,2,7,6,3,5,4,1]=>[1,4,5,3,6,7,2,8]=>[[1,2,3,5,6,8],[4],[7]]=>21 [8,1,7,6,5,2,4,3]=>[8,1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1,8]=>[[1,2,4,5,6,8],[3],[7]]=>20 [1,2,8,7,6,3,4,5]=>[1,2,8,7,6,3,4,5]=>[5,4,3,6,7,8,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>12 [6,8,4,7,5,3,2,1]=>[6,8,4,7,5,3,2,1]=>[1,2,3,5,7,4,8,6]=>[[1,2,3,4,5,7],[6,8]]=>24 [6,8,7,2,5,4,3,1]=>[8,2,6,7,5,4,3,1]=>[1,3,4,5,7,6,2,8]=>[[1,2,3,4,5,8],[6],[7]]=>23 [3,8,7,6,4,5,2,1]=>[3,8,7,6,4,5,2,1]=>[1,2,5,4,6,7,8,3]=>[[1,2,3,5,6,7],[4],[8]]=>22 [2,8,7,6,5,3,4,1]=>[2,8,7,6,5,3,4,1]=>[1,4,3,5,6,7,8,2]=>[[1,2,4,5,6,7],[3],[8]]=>21 [1,8,7,6,5,4,2,3]=>[1,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>20 [5,8,6,7,3,4,1,2]=>[5,8,6,3,1,7,4,2]=>[2,4,7,1,3,6,8,5]=>[[1,2,3,7],[4,5,6],[8]]=>22 [3,8,6,7,4,5,1,2]=>[6,3,8,7,4,1,5,2]=>[2,5,1,4,7,8,3,6]=>[[1,2,5,6],[3,4,8],[7]]=>20 [3,8,5,7,4,6,1,2]=>[8,7,3,5,4,1,6,2]=>[2,6,1,4,5,3,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>19 [5,8,3,7,4,6,1,2]=>[5,3,8,7,4,1,6,2]=>[2,6,1,4,7,8,3,5]=>[[1,2,5,6],[3,4,8],[7]]=>20 [4,7,2,8,5,6,1,3]=>[7,8,4,2,5,1,6,3]=>[3,6,1,5,2,4,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>17 [3,7,1,8,5,6,2,4]=>[7,3,5,1,8,6,2,4]=>[4,2,6,8,1,5,3,7]=>[[1,3,4],[2,6,8],[5,7]]=>15 [3,7,2,8,5,6,1,4]=>[7,3,5,8,6,2,1,4]=>[4,1,2,6,8,5,3,7]=>[[1,3,4,5],[2,6,8],[7]]=>16 [2,7,3,8,5,6,1,4]=>[7,2,8,5,6,3,1,4]=>[4,1,3,6,5,8,2,7]=>[[1,3,4,6],[2,5,8],[7]]=>15 [2,7,4,8,5,6,1,3]=>[7,4,5,8,6,2,1,3]=>[3,1,2,6,8,5,4,7]=>[[1,3,4,5],[2,6,8],[7]]=>16 [5,8,2,7,4,6,1,3]=>[8,5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>19 [6,8,2,7,4,5,1,3]=>[8,6,2,4,1,7,5,3]=>[3,5,7,1,4,2,6,8]=>[[1,2,3,8],[4,5,7],[6]]=>20 [7,8,2,6,4,5,1,3]=>[7,2,8,4,1,6,5,3]=>[3,5,6,1,4,8,2,7]=>[[1,2,3,6],[4,5,8],[7]]=>21 [7,8,1,6,4,5,2,3]=>[1,7,8,4,2,6,5,3]=>[3,5,6,2,4,8,7,1]=>[[1,2,3,6],[4,5,7],[8]]=>20 [6,8,1,7,4,5,2,3]=>[8,6,4,1,2,7,5,3]=>[3,5,7,2,1,4,6,8]=>[[1,2,3,8],[4,6,7],[5]]=>19 [5,8,1,7,4,6,2,3]=>[5,8,1,7,4,2,6,3]=>[3,6,2,4,7,1,8,5]=>[[1,2,5,7],[3,4,8],[6]]=>18 [1,7,4,8,5,6,2,3]=>[7,4,5,1,8,6,2,3]=>[3,2,6,8,1,5,4,7]=>[[1,3,4],[2,6,8],[5,7]]=>15 [2,8,5,6,1,7,3,4]=>[5,2,6,1,8,7,3,4]=>[4,3,7,8,1,6,2,5]=>[[1,3,4],[2,6,8],[5,7]]=>15 [1,8,5,6,2,7,3,4]=>[1,5,6,2,8,7,3,4]=>[4,3,7,8,2,6,5,1]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [5,8,1,7,3,6,2,4]=>[8,1,5,7,3,2,6,4]=>[4,6,2,3,7,5,1,8]=>[[1,2,5,8],[3,4,6],[7]]=>17 [1,8,4,7,3,6,2,5]=>[4,8,7,6,1,3,2,5]=>[5,2,3,1,6,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>15 [3,8,4,7,2,6,1,5]=>[3,8,4,7,6,2,1,5]=>[5,1,2,6,7,4,8,3]=>[[1,3,4,5,7],[2,6],[8]]=>17 [4,8,5,7,2,6,1,3]=>[4,5,8,7,2,1,6,3]=>[3,6,1,2,7,8,5,4]=>[[1,2,5,6],[3,4,7],[8]]=>19 [3,8,5,7,2,6,1,4]=>[8,5,3,7,6,2,1,4]=>[4,1,2,6,7,3,5,8]=>[[1,3,4,5,8],[2,6,7]]=>18 [2,8,5,7,3,6,1,4]=>[5,8,2,7,6,3,1,4]=>[4,1,3,6,7,2,8,5]=>[[1,3,4,5,7],[2,8],[6]]=>17 [1,8,5,7,3,6,2,4]=>[8,1,5,7,6,3,2,4]=>[4,2,3,6,7,5,1,8]=>[[1,3,4,5,8],[2,6],[7]]=>16 [2,8,6,7,3,5,1,4]=>[2,6,8,7,5,3,1,4]=>[4,1,3,5,7,8,6,2]=>[[1,3,4,5,6],[2,7],[8]]=>18 [3,8,6,7,2,5,1,4]=>[6,3,8,7,5,2,1,4]=>[4,1,2,5,7,8,3,6]=>[[1,3,4,5,6],[2,7,8]]=>19 [4,8,6,7,2,5,1,3]=>[6,4,8,7,2,1,5,3]=>[3,5,1,2,7,8,4,6]=>[[1,2,5,6],[3,4,7,8]]=>20 [5,8,6,7,2,4,1,3]=>[5,2,8,6,1,7,4,3]=>[3,4,7,1,6,8,2,5]=>[[1,2,3,6],[4,5,8],[7]]=>21 [5,8,6,7,1,4,2,3]=>[1,5,8,6,2,7,4,3]=>[3,4,7,2,6,8,5,1]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [2,5,1,8,6,7,3,4]=>[2,8,5,6,1,7,3,4]=>[4,3,7,1,6,5,8,2]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [2,6,1,8,5,7,3,4]=>[8,6,2,5,1,7,3,4]=>[4,3,7,1,5,2,6,8]=>[[1,3,7,8],[2,5],[4,6]]=>13 [1,6,2,8,5,7,3,4]=>[8,6,5,1,2,7,3,4]=>[4,3,7,2,1,5,6,8]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [3,8,5,7,1,6,2,4]=>[8,5,3,1,7,6,2,4]=>[4,2,6,7,1,3,5,8]=>[[1,3,4,8],[2,6,7],[5]]=>17 [6,8,4,7,1,5,2,3]=>[6,4,1,8,2,7,5,3]=>[3,5,7,2,8,1,4,6]=>[[1,2,3,5],[4,7,8],[6]]=>20 [6,8,3,7,1,5,2,4]=>[3,6,1,8,2,7,5,4]=>[4,5,7,2,8,1,6,3]=>[[1,2,3,5],[4,7],[6,8]]=>19 [4,8,3,7,1,6,2,5]=>[8,4,3,1,7,6,2,5]=>[5,2,6,7,1,3,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>17 [3,8,4,7,1,6,2,5]=>[3,8,4,1,7,6,2,5]=>[5,2,6,7,1,4,8,3]=>[[1,3,4,7],[2,6],[5,8]]=>16 [1,6,2,8,4,7,3,5]=>[8,1,6,7,2,4,3,5]=>[5,3,4,2,7,6,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [2,6,1,8,4,7,3,5]=>[6,8,2,7,1,4,3,5]=>[5,3,4,1,7,2,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>12 [3,7,2,6,1,8,4,5]=>[7,3,2,6,1,8,4,5]=>[5,4,8,1,6,2,3,7]=>[[1,3,7,8],[2,5],[4,6]]=>13 [3,7,1,6,2,8,4,5]=>[3,7,1,6,2,8,4,5]=>[5,4,8,2,6,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [4,8,1,6,2,7,3,5]=>[1,4,6,2,8,7,3,5]=>[5,3,7,8,2,6,4,1]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [7,8,2,5,1,6,3,4]=>[2,7,5,1,3,8,6,4]=>[4,6,8,3,1,5,7,2]=>[[1,2,3],[4,6,7],[5,8]]=>18 [4,8,2,6,1,7,3,5]=>[4,2,6,1,8,7,3,5]=>[5,3,7,8,1,6,2,4]=>[[1,3,4],[2,6,8],[5,7]]=>15 [2,7,3,6,1,8,4,5]=>[2,7,3,6,1,8,4,5]=>[5,4,8,1,6,3,7,2]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>0 [1,2,3,4,5,6,8,9,7]=>[8,9,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,9,8]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>2 [1,2,3,4,5,7,8,9,6]=>[7,8,9,1,2,3,4,5,6]=>[6,5,4,3,2,1,9,8,7]=>[[1,7],[2,8],[3,9],[4],[5],[6]]=>3 [1,2,3,4,6,7,8,9,5]=>[6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6]=>[[1,6],[2,7],[3,8],[4,9],[5]]=>4 [1,2,3,5,6,7,8,9,4]=>[5,6,7,8,9,1,2,3,4]=>[4,3,2,1,9,8,7,6,5]=>[[1,5],[2,6],[3,7],[4,8],[9]]=>5 [1,2,4,5,6,7,8,9,3]=>[4,5,6,7,8,9,1,2,3]=>[3,2,1,9,8,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8],[9]]=>6 [1,3,4,5,6,7,8,9,2]=>[3,4,5,6,7,8,9,1,2]=>[2,1,9,8,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>7 [1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>0 [1,2,3,4,5,6,9,8,7]=>[9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>3 [1,2,3,4,5,6,7,9,10,8]=>[9,10,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,10,9]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>2 [1,2,3,4,5,6,8,9,10,7]=>[8,9,10,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,10,9,8]=>[[1,8],[2,9],[3,10],[4],[5],[6],[7]]=>3 [1,2,3,4,5,7,8,9,10,6]=>[7,8,9,10,1,2,3,4,5,6]=>[6,5,4,3,2,1,10,9,8,7]=>[[1,7],[2,8],[3,9],[4,10],[5],[6]]=>4 [1,2,3,4,6,7,8,9,10,5]=>[6,7,8,9,10,1,2,3,4,5]=>[5,4,3,2,1,10,9,8,7,6]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>5 [1,2,3,5,6,7,8,9,10,4]=>[5,6,7,8,9,10,1,2,3,4]=>[4,3,2,1,10,9,8,7,6,5]=>[[1,5],[2,6],[3,7],[4,8],[9],[10]]=>6 [1,2,4,5,6,7,8,9,10,3]=>[4,5,6,7,8,9,10,1,2,3]=>[3,2,1,10,9,8,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>7 [3,2,4,5,6,7,8,9,1]=>[3,2,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,2,3]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>9 [1,3,4,5,6,7,8,9,10,2]=>[3,4,5,6,7,8,9,10,1,2]=>[2,1,10,9,8,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>8 [6,7,4,5,2,8,1,3]=>[6,4,2,7,5,1,8,3]=>[3,8,1,5,7,2,4,6]=>[[1,2,5,8],[3,4,7],[6]]=>19 [5,7,4,6,2,3,1,8]=>[7,5,4,2,6,3,1,8]=>[8,1,3,6,2,4,5,7]=>[[1,3,4,7,8],[2,6],[5]]=>17 [5,7,4,6,3,8,1,2]=>[7,5,4,6,3,1,8,2]=>[2,8,1,3,6,4,5,7]=>[[1,2,5,7,8],[3,4],[6]]=>19 [5,7,4,8,3,6,1,2]=>[7,5,8,4,3,1,6,2]=>[2,6,1,3,4,8,5,7]=>[[1,2,5,6,8],[3,4,7]]=>20 [6,8,4,5,3,7,1,2]=>[4,8,6,5,3,1,7,2]=>[2,7,1,3,5,6,8,4]=>[[1,2,5,6,7],[3,4],[8]]=>21 [5,8,4,6,3,7,1,2]=>[5,4,8,6,3,1,7,2]=>[2,7,1,3,6,8,4,5]=>[[1,2,5,6],[3,4,8],[7]]=>20 [5,6,4,8,3,7,1,2]=>[5,6,8,4,3,1,7,2]=>[2,7,1,3,4,8,6,5]=>[[1,2,5,6],[3,4,7],[8]]=>19 [5,6,3,7,2,4,1,8]=>[5,3,6,2,7,4,1,8]=>[8,1,4,7,2,6,3,5]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [5,6,3,7,2,8,1,4]=>[5,3,6,2,7,1,8,4]=>[4,8,1,7,2,6,3,5]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [5,6,3,8,2,7,1,4]=>[5,3,6,8,2,1,7,4]=>[4,7,1,2,8,6,3,5]=>[[1,2,5,8],[3,4,6],[7]]=>17 [5,6,4,8,2,7,1,3]=>[5,6,4,8,2,1,7,3]=>[3,7,1,2,8,4,6,5]=>[[1,2,5,7],[3,4,6],[8]]=>18 [5,8,4,6,2,7,1,3]=>[5,4,2,8,6,1,7,3]=>[3,7,1,6,8,2,4,5]=>[[1,2,5,8],[3,4,7],[6]]=>19 [6,8,4,5,2,7,1,3]=>[4,2,8,6,5,1,7,3]=>[3,7,1,5,6,8,2,4]=>[[1,2,5,6],[3,4,8],[7]]=>20 [7,8,4,5,2,6,1,3]=>[4,2,7,5,1,8,6,3]=>[3,6,8,1,5,7,2,4]=>[[1,2,3],[4,5,6],[7,8]]=>21 [5,8,4,6,2,3,1,7]=>[5,4,2,8,6,3,1,7]=>[7,1,3,6,8,2,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>18 [5,6,4,8,2,3,1,7]=>[5,6,2,8,4,3,1,7]=>[7,1,3,4,8,2,6,5]=>[[1,3,4,5],[2,7],[6,8]]=>17 [5,6,3,8,2,4,1,7]=>[5,6,3,2,8,4,1,7]=>[7,1,4,8,2,3,6,5]=>[[1,3,4,7],[2,6],[5,8]]=>16 [4,6,3,5,2,7,1,8]=>[6,4,3,5,2,7,1,8]=>[8,1,7,2,5,3,4,6]=>[[1,3,5,7,8],[2],[4],[6]]=>13 [4,6,3,5,2,8,1,7]=>[6,4,3,5,8,2,1,7]=>[7,1,2,8,5,3,4,6]=>[[1,3,4,7,8],[2,5],[6]]=>14 [4,6,3,8,2,5,1,7]=>[6,8,4,3,2,5,1,7]=>[7,1,5,2,3,4,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>15 [4,8,3,6,2,5,1,7]=>[4,8,3,2,6,5,1,7]=>[7,1,5,6,2,3,8,4]=>[[1,3,4,7],[2,6,8],[5]]=>16 [7,8,3,5,2,4,1,6]=>[7,3,2,5,4,1,8,6]=>[6,8,1,4,5,2,3,7]=>[[1,2,5,8],[3,4],[6,7]]=>19 [5,8,3,6,2,7,1,4]=>[8,5,3,2,6,1,7,4]=>[4,7,1,6,2,3,5,8]=>[[1,2,6,7,8],[3,4],[5]]=>18 [4,8,3,6,2,7,1,5]=>[4,6,3,8,7,2,1,5]=>[5,1,2,7,8,3,6,4]=>[[1,3,4,5],[2,6,7],[8]]=>17 [4,6,3,8,2,7,1,5]=>[6,8,4,3,7,2,1,5]=>[5,1,2,7,3,4,8,6]=>[[1,3,4,6,7],[2,5,8]]=>16 [4,7,3,6,2,8,1,5]=>[4,7,6,3,8,2,1,5]=>[5,1,2,8,3,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>16 [4,7,3,8,2,6,1,5]=>[4,7,3,8,6,2,1,5]=>[5,1,2,6,8,3,7,4]=>[[1,3,4,5],[2,6,7],[8]]=>17 [5,7,4,8,2,6,1,3]=>[7,5,4,8,2,1,6,3]=>[3,6,1,2,8,4,5,7]=>[[1,2,5,7,8],[3,4,6]]=>19 [6,7,3,5,2,8,1,4]=>[3,6,2,7,5,1,8,4]=>[4,8,1,5,7,2,6,3]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [6,7,4,8,2,5,1,3]=>[6,4,2,7,1,8,5,3]=>[3,5,8,1,7,2,4,6]=>[[1,2,3,8],[4,5,7],[6]]=>20 [6,8,5,7,2,3,1,4]=>[2,8,6,5,3,1,7,4]=>[4,7,1,3,5,6,8,2]=>[[1,2,5,6,7],[3,4],[8]]=>21 [6,7,4,8,2,3,1,5]=>[6,4,2,7,3,1,8,5]=>[5,8,1,3,7,2,4,6]=>[[1,2,5,8],[3,4],[6,7]]=>19 [6,7,3,4,2,8,1,5]=>[3,6,4,2,7,1,8,5]=>[5,8,1,7,2,4,6,3]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [5,7,3,4,2,8,1,6]=>[3,7,5,4,8,2,1,6]=>[6,1,2,8,4,5,7,3]=>[[1,3,4,6,7],[2,5],[8]]=>16 [5,7,4,8,2,3,1,6]=>[7,5,2,8,4,3,1,6]=>[6,1,3,4,8,2,5,7]=>[[1,3,4,5,8],[2,7],[6]]=>18 [6,8,4,7,2,3,1,5]=>[6,2,8,4,3,1,7,5]=>[5,7,1,3,4,8,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>20 [7,8,4,6,2,3,1,5]=>[4,2,7,3,1,8,6,5]=>[5,6,8,1,3,7,2,4]=>[[1,2,3],[4,5,6],[7,8]]=>21 [7,8,3,6,2,4,1,5]=>[7,3,2,4,1,8,6,5]=>[5,6,8,1,4,2,3,7]=>[[1,2,3,8],[4,5,7],[6]]=>20 [6,8,3,7,2,4,1,5]=>[6,3,2,8,4,1,7,5]=>[5,7,1,4,8,2,3,6]=>[[1,2,5,8],[3,4,7],[6]]=>19 [5,8,3,7,2,4,1,6]=>[5,3,2,8,7,4,1,6]=>[6,1,4,7,8,2,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>18 [4,7,3,8,2,5,1,6]=>[4,7,3,2,8,5,1,6]=>[6,1,5,8,2,3,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>16 [4,7,3,5,2,8,1,6]=>[4,3,7,5,8,2,1,6]=>[6,1,2,8,5,7,3,4]=>[[1,3,4,6],[2,5],[7,8]]=>15 [4,7,3,5,2,6,1,8]=>[4,3,7,5,2,6,1,8]=>[8,1,6,2,5,7,3,4]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [4,5,3,7,2,6,1,8]=>[4,5,7,3,2,6,1,8]=>[8,1,6,2,3,7,5,4]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [4,8,3,5,2,7,1,6]=>[4,3,5,8,7,2,1,6]=>[6,1,2,7,8,5,3,4]=>[[1,3,4,5],[2,6,8],[7]]=>16 [5,8,3,4,2,7,1,6]=>[3,5,4,8,7,2,1,6]=>[6,1,2,7,8,4,5,3]=>[[1,3,4,5],[2,6,7],[8]]=>17 [6,8,3,4,2,5,1,7]=>[3,4,2,8,6,5,1,7]=>[7,1,5,6,8,2,4,3]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [5,8,3,4,2,6,1,7]=>[3,5,4,2,8,6,1,7]=>[7,1,6,8,2,4,5,3]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [4,8,3,5,2,6,1,7]=>[4,3,5,2,8,6,1,7]=>[7,1,6,8,2,5,3,4]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [4,7,5,2,1,8,3,6]=>[4,2,7,5,1,8,3,6]=>[6,3,8,1,5,7,2,4]=>[[1,3,6],[2,5,8],[4,7]]=>14 [4,6,5,2,1,3,8,7]=>[6,4,2,1,5,8,3,7]=>[7,3,8,5,1,2,4,6]=>[[1,3,7,8],[2,4],[5,6]]=>12 [6,4,5,3,1,2,8,7]=>[4,1,6,5,3,8,2,7]=>[7,2,8,3,5,6,1,4]=>[[1,3,5,6],[2,4],[7,8]]=>14 [5,4,6,1,3,2,8,7]=>[1,5,4,6,3,8,2,7]=>[7,2,8,3,6,4,5,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [7,4,8,1,6,5,3,2]=>[7,8,1,4,6,5,3,2]=>[2,3,5,6,4,1,8,7]=>[[1,2,3,4,7],[5,8],[6]]=>20 [5,4,7,1,3,8,2,6]=>[1,5,7,4,8,3,2,6]=>[6,2,3,8,4,7,5,1]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [6,4,8,1,7,5,2,3]=>[8,1,4,6,2,7,5,3]=>[3,5,7,2,6,4,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [5,6,8,7,2,1,3,4]=>[8,5,2,1,6,3,7,4]=>[4,7,3,6,1,2,5,8]=>[[1,2,7,8],[3,4],[5,6]]=>18 [8,5,7,6,4,2,1,3]=>[8,5,2,1,7,6,4,3]=>[3,4,6,7,1,2,5,8]=>[[1,2,3,4,8],[5,6,7]]=>24 [8,4,6,3,7,2,1,5]=>[4,3,8,6,2,1,7,5]=>[5,7,1,2,6,8,3,4]=>[[1,2,5,6],[3,4,8],[7]]=>20 [6,3,2,8,7,4,1,5]=>[8,3,6,2,4,1,7,5]=>[5,7,1,4,2,6,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>16 [7,6,8,5,2,4,3,1]=>[2,7,6,8,5,4,3,1]=>[1,3,4,5,8,6,7,2]=>[[1,2,3,4,5,7],[6],[8]]=>24 [5,7,8,6,2,3,1,4]=>[7,2,8,5,3,1,6,4]=>[4,6,1,3,5,8,2,7]=>[[1,2,5,6],[3,4,8],[7]]=>20 [5,8,7,6,3,2,1,4]=>[8,7,5,3,2,1,6,4]=>[4,6,1,2,3,5,7,8]=>[[1,2,5,6,7,8],[3,4]]=>22 [6,8,7,5,3,2,4,1]=>[8,6,3,2,7,5,4,1]=>[1,4,5,7,2,3,6,8]=>[[1,2,3,4,8],[5,6,7]]=>24 [7,8,4,2,6,5,3,1]=>[2,4,7,8,6,5,3,1]=>[1,3,5,6,8,7,4,2]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [4,8,7,2,6,3,5,1]=>[4,2,8,7,6,3,5,1]=>[1,5,3,6,7,8,2,4]=>[[1,2,4,5,6],[3,8],[7]]=>20 [3,6,1,8,7,4,2,5]=>[3,6,8,1,7,4,2,5]=>[5,2,4,7,1,8,6,3]=>[[1,3,4,6],[2,7],[5,8]]=>14 [3,8,1,6,7,5,2,4]=>[3,8,6,1,7,5,2,4]=>[4,2,5,7,1,6,8,3]=>[[1,3,4,7],[2,6],[5,8]]=>16 [6,7,4,2,8,1,5,3]=>[2,6,4,1,7,8,5,3]=>[3,5,8,7,1,4,6,2]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [6,8,4,2,7,5,1,3]=>[2,6,8,4,1,7,5,3]=>[3,5,7,1,4,8,6,2]=>[[1,2,3,6],[4,5,7],[8]]=>20 [8,3,2,6,7,5,1,4]=>[3,8,6,7,2,1,5,4]=>[4,5,1,2,7,6,8,3]=>[[1,2,5,7],[3,4,6],[8]]=>18 [8,6,4,3,7,5,1,2]=>[4,3,6,1,8,7,5,2]=>[2,5,7,8,1,6,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>22 [5,8,6,7,3,1,2,4]=>[5,1,8,6,3,2,7,4]=>[4,7,2,3,6,8,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>20 [6,7,5,8,1,3,4,2]=>[1,6,7,5,3,8,4,2]=>[2,4,8,3,5,7,6,1]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [7,6,5,8,1,4,3,2]=>[7,1,6,5,8,4,3,2]=>[2,3,4,8,5,6,1,7]=>[[1,2,3,4,6,8],[5],[7]]=>22 [8,6,5,7,4,1,3,2]=>[1,6,5,8,7,4,3,2]=>[2,3,4,7,8,5,6,1]=>[[1,2,3,4,5],[6,7],[8]]=>24 [7,6,4,3,8,1,5,2]=>[4,3,1,7,6,8,5,2]=>[2,5,8,6,7,1,3,4]=>[[1,2,3,5],[4,7,8],[6]]=>20 [2,1,7,6,8,3,5,4]=>[7,6,2,8,5,1,3,4]=>[4,3,1,5,8,2,6,7]=>[[1,4,5,8],[2,6,7],[3]]=>12 [8,1,3,7,4,6,5,2]=>[8,1,7,3,6,4,5,2]=>[2,5,4,6,3,7,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>16 [1,6,2,5,4,7,3,8]=>[6,5,1,4,7,2,3,8]=>[8,3,2,7,4,1,5,6]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [6,2,7,5,4,8,3,1]=>[6,7,5,2,4,8,3,1]=>[1,3,8,4,2,5,7,6]=>[[1,2,3,6,7],[4,8],[5]]=>18 [8,1,3,5,4,7,6,2]=>[1,8,3,5,7,4,6,2]=>[2,6,4,7,5,3,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [6,1,5,4,3,8,7,2]=>[6,5,4,8,1,3,7,2]=>[2,7,3,1,8,4,5,6]=>[[1,2,5,7,8],[3,6],[4]]=>14 [7,1,5,3,4,8,6,2]=>[1,7,3,5,8,4,6,2]=>[2,6,4,8,5,3,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [7,1,4,3,5,6,8,2]=>[4,1,3,7,5,6,8,2]=>[2,8,6,5,7,3,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [8,1,3,4,5,6,7,2]=>[1,3,4,5,8,6,7,2]=>[2,7,6,8,5,4,3,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>12 [1,7,2,4,5,6,3,8]=>[1,4,7,5,6,2,3,8]=>[8,3,2,6,5,7,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [6,3,2,7,5,1,8,4]=>[3,6,7,2,1,5,8,4]=>[4,8,5,1,2,7,6,3]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [6,5,8,2,4,7,3,1]=>[6,5,2,8,4,7,3,1]=>[1,3,7,4,8,2,5,6]=>[[1,2,3,5,8],[4,7],[6]]=>20 [8,5,2,1,4,3,7,6]=>[2,5,1,4,8,3,7,6]=>[6,7,3,8,4,1,5,2]=>[[1,2,4],[3,5,7],[6,8]]=>14 [5,6,2,1,4,8,3,7]=>[2,1,5,6,8,4,3,7]=>[7,3,4,8,6,5,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [3,6,1,8,5,2,4,7]=>[6,3,1,8,5,2,4,7]=>[7,4,2,5,8,1,3,6]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [1,2,6,3,5,4,7,8]=>[6,1,5,2,3,4,7,8]=>[8,7,4,3,2,5,1,6]=>[[1,6,8],[2],[3],[4],[5],[7]]=>4 [3,4,1,2,8,6,5,7]=>[3,4,8,1,6,2,5,7]=>[7,5,2,6,1,8,4,3]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [4,3,1,2,6,8,5,7]=>[1,4,8,3,6,2,5,7]=>[7,5,2,6,3,8,4,1]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [5,8,1,6,3,2,4,7]=>[5,3,1,2,8,6,4,7]=>[7,4,6,8,2,1,3,5]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [6,3,8,5,2,1,4,7]=>[3,6,2,1,8,5,4,7]=>[7,4,5,8,1,2,6,3]=>[[1,3,4],[2,6,7],[5,8]]=>16 [3,8,2,6,1,5,7,4]=>[6,3,2,5,8,7,1,4]=>[4,1,7,8,5,2,3,6]=>[[1,3,4,8],[2,5,7],[6]]=>14 [7,2,5,8,3,1,6,4]=>[7,2,5,3,8,1,6,4]=>[4,6,1,8,3,5,2,7]=>[[1,2,4,8],[3,5,6],[7]]=>16 [1,7,5,6,3,2,4,8]=>[1,5,7,6,3,2,4,8]=>[8,4,2,3,6,7,5,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [7,2,1,3,8,6,4,5]=>[7,8,2,1,3,4,6,5]=>[5,6,4,3,1,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [1,5,7,3,2,4,6,8]=>[7,1,5,3,2,4,6,8]=>[8,6,4,2,3,5,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>8 [5,2,7,3,1,8,4,6]=>[2,5,3,7,1,8,4,6]=>[6,4,8,1,7,3,5,2]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [3,1,8,6,4,2,7,5]=>[3,8,1,6,4,7,2,5]=>[5,2,7,4,6,1,8,3]=>[[1,3,5,7],[2,4],[6,8]]=>12 [3,5,8,7,2,4,1,6]=>[8,7,5,3,2,4,1,6]=>[6,1,4,2,3,5,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>16 [2,4,1,3,8,7,5,6]=>[8,4,7,2,1,3,5,6]=>[6,5,3,1,2,7,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [2,5,8,3,1,7,4,6]=>[2,5,8,7,3,1,4,6]=>[6,4,1,3,7,8,5,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [8,6,1,3,7,2,4,5]=>[6,3,1,2,4,8,7,5]=>[5,7,8,4,2,1,3,6]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [2,8,1,3,6,4,7,5]=>[2,1,8,3,6,7,4,5]=>[5,4,7,6,3,8,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [6,8,2,3,4,1,5,7]=>[2,3,4,1,8,6,5,7]=>[7,5,6,8,1,4,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [5,1,8,3,2,4,6,7]=>[3,1,2,8,5,4,6,7]=>[7,6,4,5,8,2,1,3]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [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]=>[[1,2,3,4,5,6,7,8,9]]=>36 [8,9,7,6,5,4,3,2,1]=>[8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8]=>[[1,2,3,4,5,6,7,8],[9]]=>35 [8,7,6,5,4,3,2,9,1]=>[8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8]=>[[1,2,4,5,6,7,8,9],[3]]=>29 [8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8,9],[2]]=>28 [9,10,8,7,6,5,4,3,2,1]=>[9,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>44 [7,8,9,6,5,4,3,2,1]=>[7,8,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,8,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>33 [9,8,10,7,6,5,4,3,2,1]=>[9,8,10,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,10,8,9]=>[[1,2,3,4,5,6,7,8,10],[9]]=>43 [9,8,7,10,6,5,4,3,2,1]=>[9,8,7,10,6,5,4,3,2,1]=>[1,2,3,4,5,6,10,7,8,9]=>[[1,2,3,4,5,6,7,9,10],[8]]=>42 [9,8,7,6,10,5,4,3,2,1]=>[9,8,7,6,10,5,4,3,2,1]=>[1,2,3,4,5,10,6,7,8,9]=>[[1,2,3,4,5,6,8,9,10],[7]]=>41 [9,8,7,6,5,10,4,3,2,1]=>[9,8,7,6,5,10,4,3,2,1]=>[1,2,3,4,10,5,6,7,8,9]=>[[1,2,3,4,5,7,8,9,10],[6]]=>40 [9,8,7,6,5,4,10,3,2,1]=>[9,8,7,6,5,4,10,3,2,1]=>[1,2,3,10,4,5,6,7,8,9]=>[[1,2,3,4,6,7,8,9,10],[5]]=>39 [9,8,7,6,5,4,3,10,2,1]=>[9,8,7,6,5,4,3,10,2,1]=>[1,2,10,3,4,5,6,7,8,9]=>[[1,2,3,5,6,7,8,9,10],[4]]=>38 [9,8,7,6,5,4,3,2,10,1]=>[9,8,7,6,5,4,3,2,10,1]=>[1,10,2,3,4,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9,10],[3]]=>37 [9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9,10],[2]]=>36 [1,4,2,7,8,6,3,5]=>[7,8,4,1,6,2,3,5]=>[5,3,2,6,1,4,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [1,6,2,4,8,5,3,7]=>[6,1,8,4,5,2,3,7]=>[7,3,2,5,4,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [1,6,2,4,7,5,3,8]=>[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [1,7,3,8,5,2,4,6]=>[7,8,1,3,2,5,4,6]=>[6,4,5,2,3,1,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [1,7,3,2,8,6,4,5]=>[7,8,3,1,2,6,4,5]=>[5,4,6,2,1,3,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>11 [4,2,5,7,8,6,1,3]=>[7,8,2,4,5,1,6,3]=>[3,6,1,5,4,2,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [7,2,3,1,8,5,6,4]=>[7,8,2,3,1,5,6,4]=>[4,6,5,1,3,2,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [8,2,5,1,7,3,4,6]=>[5,2,1,8,3,4,7,6]=>[6,7,4,3,8,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [6,2,1,8,3,4,7,5]=>[6,2,8,1,3,4,7,5]=>[5,7,4,3,1,8,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [6,2,8,3,5,1,7,4]=>[6,2,8,3,1,5,7,4]=>[4,7,5,1,3,8,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [6,2,4,8,5,7,1,3]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [1,3,6,4,8,5,7,2]=>[6,3,8,4,5,7,1,2]=>[2,1,7,5,4,8,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [1,3,6,4,7,5,8,2]=>[3,6,7,4,5,8,1,2]=>[2,1,8,5,4,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [6,2,4,7,5,8,1,3]=>[2,6,7,4,5,1,8,3]=>[3,8,1,5,4,7,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [6,2,1,3,7,8,4,5]=>[2,6,7,1,3,4,8,5]=>[5,8,4,3,1,7,6,2]=>[[1,2],[3,6],[4,7],[5,8]]=>10 [7,8,2,1,4,3,5,6]=>[2,4,1,3,7,5,8,6]=>[6,8,5,7,3,1,4,2]=>[[1,2],[3,4],[5,7],[6,8]]=>14 [7,6,4,2,3,1,8,5]=>[2,4,3,1,7,6,8,5]=>[5,8,6,7,1,3,4,2]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [5,7,2,3,1,6,8,4]=>[2,5,3,7,1,6,8,4]=>[4,8,6,1,7,3,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [7,5,4,2,6,8,1,3]=>[2,5,4,7,6,1,8,3]=>[3,8,1,6,7,4,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [1,7,5,3,4,6,8,2]=>[3,5,4,7,6,8,1,2]=>[2,1,8,6,7,4,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [8,2,5,4,6,7,1,3]=>[5,2,4,8,6,1,7,3]=>[3,7,1,6,8,4,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>17 [5,2,6,3,1,8,7,4]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [8,2,6,4,3,1,7,5]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [8,2,7,4,1,3,5,6]=>[4,2,1,3,8,5,7,6]=>[6,7,5,8,3,1,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [1,2,8,4,3,5,6,7]=>[4,1,2,3,8,5,6,7]=>[7,6,5,8,3,2,1,4]=>[[1,4],[2,8],[3],[5],[6],[7]]=>6 [1,7,4,2,3,5,6,8]=>[1,4,2,3,7,5,6,8]=>[8,6,5,7,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>7 [6,8,4,1,3,2,5,7]=>[4,1,3,2,8,6,5,7]=>[7,5,6,8,2,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>15 [1,8,7,4,3,2,5,6]=>[4,3,1,2,8,7,5,6]=>[6,5,7,8,2,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [1,6,3,8,2,4,7,5]=>[6,3,8,1,2,7,4,5]=>[5,4,7,2,1,8,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>10 [5,3,8,1,2,7,4,6]=>[5,3,1,8,2,7,4,6]=>[6,4,7,2,8,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [5,1,8,3,2,6,4,7]=>[5,1,3,8,2,6,4,7]=>[7,4,6,2,8,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [5,7,3,1,2,6,4,8]=>[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [1,7,5,4,2,6,3,8]=>[1,5,4,7,6,2,3,8]=>[8,3,2,6,7,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [1,5,8,2,4,6,3,7]=>[5,1,4,8,6,2,3,7]=>[7,3,2,6,8,4,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [1,5,8,4,2,7,3,6]=>[5,4,1,8,7,2,3,6]=>[6,3,2,7,8,1,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [1,4,6,2,8,3,7,5]=>[6,4,8,1,7,2,3,5]=>[5,3,2,7,1,8,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>9 [5,3,1,6,7,2,4,8]=>[1,3,5,6,2,7,4,8]=>[8,4,7,2,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>10 [5,3,6,1,2,8,4,7]=>[3,1,5,6,2,8,4,7]=>[7,4,8,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>11 [1,6,3,2,7,8,4,5]=>[3,6,7,1,2,8,4,5]=>[5,4,8,2,1,7,6,3]=>[[1,3],[2,6],[4,7],[5,8]]=>9 [1,7,4,5,3,8,6,2]=>[4,5,3,7,8,6,1,2]=>[2,1,6,8,7,3,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [6,3,4,1,2,5,8,7]=>[3,1,4,2,6,8,5,7]=>[7,5,8,6,2,4,1,3]=>[[1,3],[2,4],[5,6],[7,8]]=>10 [6,3,1,4,2,7,5,8]=>[1,3,4,2,6,7,5,8]=>[8,5,7,6,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>9 [1,8,3,2,4,5,6,7]=>[3,1,2,4,5,8,6,7]=>[7,6,8,5,4,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>7 [8,6,3,2,4,1,7,5]=>[3,2,4,1,6,8,7,5]=>[5,7,8,6,1,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [8,5,3,2,6,7,1,4]=>[3,2,5,6,1,8,7,4]=>[4,7,8,1,6,5,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [4,5,2,6,8,1,7,3]=>[4,2,5,6,8,1,7,3]=>[3,7,1,8,6,5,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [4,2,5,6,7,8,1,3]=>[2,4,5,6,7,1,8,3]=>[3,8,1,7,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>12 [5,2,3,6,7,1,8,4]=>[2,3,5,6,1,7,8,4]=>[4,8,7,1,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>11 [6,2,3,4,1,7,8,5]=>[2,3,4,1,6,7,8,5]=>[5,8,7,6,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>10 [7,2,3,1,4,5,8,6]=>[2,3,1,4,5,7,8,6]=>[6,8,7,5,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>9 [8,6,1,4,3,2,5,7]=>[4,3,1,2,6,5,8,7]=>[7,8,5,6,2,1,3,4]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [8,3,1,6,5,2,4,7]=>[6,3,1,5,2,4,8,7]=>[7,8,4,2,5,1,3,6]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [3,7,5,1,8,2,4,6]=>[7,3,1,5,2,8,4,6]=>[6,4,8,2,5,1,3,7]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [4,1,5,2,8,7,3,6]=>[8,4,5,1,2,7,3,6]=>[6,3,7,2,1,5,4,8]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [8,1,2,4,6,5,3,7]=>[6,4,5,1,2,3,8,7]=>[7,8,3,2,1,5,4,6]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [8,1,2,5,4,6,3,7]=>[5,4,6,1,2,3,8,7]=>[7,8,3,2,1,6,4,5]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [8,1,2,6,4,5,3,7]=>[4,6,5,1,2,3,8,7]=>[7,8,3,2,1,5,6,4]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [8,1,2,5,6,4,3,7]=>[5,6,4,1,2,3,8,7]=>[7,8,3,2,1,4,6,5]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [8,1,2,6,5,4,3,7]=>[6,5,4,1,2,3,8,7]=>[7,8,3,2,1,4,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [1,7,5,4,2,8,3,6]=>[7,5,4,1,2,8,3,6]=>[6,3,8,2,1,4,5,7]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [5,1,4,8,2,7,3,6]=>[8,5,4,1,2,7,3,6]=>[6,3,7,2,1,4,5,8]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [1,4,6,8,2,7,3,5]=>[8,6,4,1,7,2,3,5]=>[5,3,2,7,1,4,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [1,4,7,6,2,8,3,5]=>[7,6,4,1,8,2,3,5]=>[5,3,2,8,1,4,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [5,1,4,7,2,8,3,6]=>[5,7,4,1,2,8,3,6]=>[6,3,8,2,1,4,7,5]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [1,7,4,5,2,8,3,6]=>[4,7,5,1,2,8,3,6]=>[6,3,8,2,1,5,7,4]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [3,7,5,1,2,8,4,6]=>[3,7,1,5,2,8,4,6]=>[6,4,8,2,5,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [5,7,2,8,1,3,4,6]=>[2,1,7,5,3,8,4,6]=>[6,4,8,3,5,7,1,2]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [5,2,8,7,1,3,4,6]=>[2,1,8,5,3,7,4,6]=>[6,4,7,3,5,8,1,2]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [1,4,6,2,8,7,3,5]=>[6,8,4,1,7,2,3,5]=>[5,3,2,7,1,4,8,6]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [1,4,2,8,6,7,3,5]=>[4,8,6,1,7,2,3,5]=>[5,3,2,7,1,6,8,4]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [3,1,2,6,4,8,7,5]=>[3,8,1,6,7,2,4,5]=>[5,4,2,7,6,1,8,3]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [2,1,7,6,3,4,8,5]=>[2,1,7,6,8,3,4,5]=>[5,4,3,8,6,7,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [3,1,2,7,4,6,8,5]=>[3,7,1,6,8,2,4,5]=>[5,4,2,8,6,1,7,3]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [1,4,7,2,6,8,3,5]=>[4,7,6,1,8,2,3,5]=>[5,3,2,8,1,6,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [1,2,3,6,8,5,7,4]=>[8,6,5,7,1,2,3,4]=>[4,3,2,1,7,5,6,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [5,1,4,2,7,8,3,6]=>[5,4,7,1,2,8,3,6]=>[6,3,8,2,1,7,4,5]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [1,4,2,7,6,8,3,5]=>[7,4,6,1,8,2,3,5]=>[5,3,2,8,1,6,4,7]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [1,4,2,6,8,7,3,5]=>[8,4,6,1,7,2,3,5]=>[5,3,2,7,1,6,4,8]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [3,1,2,8,4,6,7,5]=>[8,3,1,6,7,2,4,5]=>[5,4,2,7,6,1,3,8]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [3,1,2,7,6,4,8,5]=>[7,3,1,6,8,2,4,5]=>[5,4,2,8,6,1,3,7]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [5,3,7,1,8,2,4,6]=>[5,3,1,7,2,8,4,6]=>[6,4,8,2,7,1,3,5]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [1,7,4,3,2,5,8,6]=>[4,3,1,2,7,8,5,6]=>[6,5,8,7,2,1,3,4]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [4,8,7,2,1,3,5,6]=>[2,1,4,3,8,7,5,6]=>[6,5,7,8,3,4,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [1,8,7,3,4,2,5,6]=>[3,4,1,2,8,7,5,6]=>[6,5,7,8,2,1,4,3]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [1,4,2,7,8,3,6,5]=>[7,4,8,1,6,2,3,5]=>[5,3,2,6,1,8,4,7]=>[[1,4,6],[2,7,8],[3],[5]]=>9 [5,2,8,1,3,4,7,6]=>[2,1,5,8,3,7,4,6]=>[6,4,7,3,8,5,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [2,1,8,6,3,4,7,5]=>[2,1,6,8,7,3,4,5]=>[5,4,3,7,8,6,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [1,4,2,6,8,3,7,5]=>[4,6,8,1,7,2,3,5]=>[5,3,2,7,1,8,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [1,2,3,7,8,5,6,4]=>[7,5,8,6,1,2,3,4]=>[4,3,2,1,6,8,5,7]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [1,2,3,7,5,8,6,4]=>[5,7,8,6,1,2,3,4]=>[4,3,2,1,6,8,7,5]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [1,4,2,7,3,8,6,5]=>[4,7,8,1,6,2,3,5]=>[5,3,2,6,1,8,7,4]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [3,1,7,2,8,6,4,5]=>[3,7,1,8,6,2,4,5]=>[5,4,2,6,8,1,7,3]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [2,1,7,8,3,4,6,5]=>[2,1,7,8,6,3,4,5]=>[5,4,3,6,8,7,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [1,2,3,8,7,5,6,4]=>[5,8,7,6,1,2,3,4]=>[4,3,2,1,6,7,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>9 [10,9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,10,9,8]=>[8,9,10,7,6,5,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>17 [8,1,2,3,4,5,6,9,10,7]=>[1,2,3,4,5,6,8,9,10,7]=>[7,10,9,8,6,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>9 [4,7,8,5,6,2,1,3]=>[7,4,8,5,2,1,6,3]=>[3,6,1,2,5,8,4,7]=>[[1,2,5,6],[3,4,8],[7]]=>20 [5,7,8,4,2,6,1,3]=>[7,2,8,5,4,1,6,3]=>[3,6,1,4,5,8,2,7]=>[[1,2,5,6],[3,4,8],[7]]=>20 [6,7,8,3,2,1,5,4]=>[6,3,2,1,7,8,5,4]=>[4,5,8,7,1,2,3,6]=>[[1,2,3,8],[4,6,7],[5]]=>19 [5,7,8,3,2,1,6,4]=>[7,5,3,2,8,1,6,4]=>[4,6,1,8,2,3,5,7]=>[[1,2,4,7,8],[3,5,6]]=>18 [3,7,8,4,2,5,1,6]=>[3,7,4,2,8,5,1,6]=>[6,1,5,8,2,4,7,3]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [4,7,8,3,2,1,5,6]=>[7,4,3,2,1,8,5,6]=>[6,5,8,1,2,3,4,7]=>[[1,3,6,7,8],[2,5],[4]]=>16 [5,7,8,3,2,1,4,6]=>[7,3,2,1,8,5,4,6]=>[6,4,5,8,1,2,3,7]=>[[1,3,4,8],[2,6,7],[5]]=>17 [7,6,3,8,2,1,4,5]=>[7,3,2,1,6,4,8,5]=>[5,8,4,6,1,2,3,7]=>[[1,2,7,8],[3,4],[5,6]]=>18 [8,6,3,7,2,1,4,5]=>[6,3,2,1,4,8,7,5]=>[5,7,8,4,1,2,3,6]=>[[1,2,3,8],[4,6,7],[5]]=>19 [3,6,4,8,2,5,1,7]=>[6,3,8,4,2,5,1,7]=>[7,1,5,2,4,8,3,6]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [2,6,4,8,3,5,7,1]=>[2,6,8,4,3,5,7,1]=>[1,7,5,3,4,8,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [4,6,3,7,2,1,5,8]=>[6,4,7,3,2,1,5,8]=>[8,5,1,2,3,7,4,6]=>[[1,4,5,6,8],[2,7],[3]]=>13 [8,4,3,2,1,6,5,7]=>[4,3,2,6,1,5,8,7]=>[7,8,5,1,6,2,3,4]=>[[1,2,7,8],[3,5],[4,6]]=>14 [6,4,3,2,1,7,5,8]=>[4,3,2,1,6,7,5,8]=>[8,5,7,6,1,2,3,4]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [3,5,4,2,8,6,1,7]=>[5,8,3,4,2,6,1,7]=>[7,1,6,2,4,3,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [6,4,3,2,1,8,5,7]=>[4,3,2,6,1,8,5,7]=>[7,5,8,1,6,2,3,4]=>[[1,3,7,8],[2,5],[4,6]]=>13 [7,4,3,2,1,8,5,6]=>[4,3,2,7,1,5,8,6]=>[6,8,5,1,7,2,3,4]=>[[1,2,7,8],[3,5],[4,6]]=>14 [8,4,3,2,1,7,5,6]=>[4,3,8,2,1,5,7,6]=>[6,7,5,1,2,8,3,4]=>[[1,2,6,8],[3,5,7],[4]]=>15 [7,4,3,2,1,8,6,5]=>[4,3,2,7,8,1,6,5]=>[5,6,1,8,7,2,3,4]=>[[1,2,4,8],[3,5,7],[6]]=>15 [6,4,3,2,1,8,7,5]=>[4,3,2,8,1,6,7,5]=>[5,7,6,1,8,2,3,4]=>[[1,2,5,8],[3,6,7],[4]]=>14 [5,6,3,8,2,1,7,4]=>[5,3,6,2,8,1,7,4]=>[4,7,1,8,2,6,3,5]=>[[1,2,4,8],[3,5,6],[7]]=>16 [7,5,3,2,8,1,6,4]=>[3,2,5,1,7,8,6,4]=>[4,6,8,7,1,5,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [8,5,4,2,7,6,1,3]=>[2,5,8,4,1,7,6,3]=>[3,6,7,1,4,8,5,2]=>[[1,2,3,6],[4,5,7],[8]]=>20 [6,5,4,2,8,7,1,3]=>[2,6,5,8,4,1,7,3]=>[3,7,1,4,8,5,6,2]=>[[1,2,5,7],[3,4,6],[8]]=>18 [4,6,5,8,7,2,1,3]=>[6,8,4,5,2,1,7,3]=>[3,7,1,2,5,4,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>18 [8,5,3,2,6,1,7,4]=>[3,2,5,1,6,8,7,4]=>[4,7,8,6,1,5,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [7,5,3,2,6,1,8,4]=>[3,2,5,1,7,6,8,4]=>[4,8,6,7,1,5,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [2,6,4,7,3,8,5,1]=>[6,7,2,4,8,3,5,1]=>[1,5,3,8,4,2,7,6]=>[[1,2,4,7],[3,5],[6,8]]=>14 [3,5,4,2,7,8,1,6]=>[5,3,4,7,8,2,1,6]=>[6,1,2,8,7,4,3,5]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [4,5,3,2,7,1,8,6]=>[4,5,3,7,2,8,1,6]=>[6,1,8,2,7,3,5,4]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [7,4,3,2,1,6,8,5]=>[4,3,2,7,1,6,8,5]=>[5,8,6,1,7,2,3,4]=>[[1,2,5,8],[3,6,7],[4]]=>14 [8,4,3,2,1,6,7,5]=>[4,3,8,2,1,6,7,5]=>[5,7,6,1,2,8,3,4]=>[[1,2,6,8],[3,5,7],[4]]=>15 [8,4,3,2,1,5,7,6]=>[4,3,2,8,1,5,7,6]=>[6,7,5,1,8,2,3,4]=>[[1,2,5,8],[3,6,7],[4]]=>14 [7,4,3,2,1,5,8,6]=>[4,3,2,1,5,7,8,6]=>[6,8,7,5,1,2,3,4]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [6,4,3,2,1,5,8,7]=>[4,3,2,1,6,8,5,7]=>[7,5,8,6,1,2,3,4]=>[[1,3,7,8],[2,4],[5,6]]=>12 [3,5,4,2,6,8,1,7]=>[5,3,4,8,2,6,1,7]=>[7,1,6,2,8,4,3,5]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [5,6,3,4,1,2,8,7]=>[5,3,1,6,4,8,2,7]=>[7,2,8,4,6,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>13 [8,5,7,4,2,6,3,1]=>[2,8,5,4,7,6,3,1]=>[1,3,6,7,4,5,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>23 [2,1,7,8,5,6,3,4]=>[7,5,8,6,2,1,3,4]=>[4,3,1,2,6,8,5,7]=>[[1,4,5,6],[2,7,8],[3]]=>13 [6,8,3,7,5,1,4,2]=>[3,6,8,1,7,5,4,2]=>[2,4,5,7,1,8,6,3]=>[[1,2,3,4,6],[5,7],[8]]=>21 [5,7,3,8,1,6,2,4]=>[5,7,3,1,8,2,6,4]=>[4,6,2,8,1,3,7,5]=>[[1,2,4],[3,6,7],[5,8]]=>17 [3,5,2,4,1,7,6,8]=>[5,3,2,4,7,1,6,8]=>[8,6,1,7,4,2,3,5]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [4,2,1,5,7,3,6,8]=>[2,7,1,4,5,3,6,8]=>[8,6,3,5,4,1,7,2]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [4,5,2,3,7,1,6,8]=>[4,2,5,7,3,1,6,8]=>[8,6,1,3,7,5,2,4]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [4,2,5,8,3,1,6,7]=>[4,8,2,5,3,1,6,7]=>[7,6,1,3,5,2,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [3,1,5,4,2,8,6,7]=>[5,8,1,3,4,2,6,7]=>[7,6,2,4,3,1,8,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [4,1,5,8,3,2,6,7]=>[8,1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>10 [4,3,8,5,2,1,6,7]=>[4,3,8,5,2,1,6,7]=>[7,6,1,2,5,8,3,4]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [4,7,3,5,2,1,6,8]=>[4,3,7,5,2,1,6,8]=>[8,6,1,2,5,7,3,4]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [4,6,3,2,5,1,7,8]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[[1,4,6,7,8],[2],[3],[5]]=>11 [4,5,1,7,3,2,6,8]=>[4,1,5,7,3,2,6,8]=>[8,6,2,3,7,5,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [4,5,1,3,7,2,6,8]=>[1,4,5,7,3,2,6,8]=>[8,6,2,3,7,5,4,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [3,5,1,4,2,7,6,8]=>[3,5,1,4,7,2,6,8]=>[8,6,2,7,4,1,5,3]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [2,5,1,4,3,7,8,6]=>[2,5,4,7,8,1,3,6]=>[6,3,1,8,7,4,5,2]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [5,2,1,4,3,7,8,6]=>[2,5,1,4,7,8,3,6]=>[6,3,8,7,4,1,5,2]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [5,3,1,4,2,7,6,8]=>[1,3,5,4,7,2,6,8]=>[8,6,2,7,4,5,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [4,3,6,1,5,2,7,8]=>[4,3,6,1,5,2,7,8]=>[8,7,2,5,1,6,3,4]=>[[1,4,6],[2,7,8],[3],[5]]=>9 [5,3,6,4,1,2,7,8]=>[3,5,1,6,4,2,7,8]=>[8,7,2,4,6,1,5,3]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [6,2,4,1,3,7,8,5]=>[4,2,1,3,6,7,8,5]=>[5,8,7,6,3,1,2,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [4,6,3,1,7,2,5,8]=>[6,4,3,1,7,2,5,8]=>[8,5,2,7,1,3,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [5,6,2,7,1,3,4,8]=>[2,5,1,6,3,7,4,8]=>[8,4,7,3,6,1,5,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [3,2,6,1,4,7,5,8]=>[6,3,2,7,1,4,5,8]=>[8,5,4,1,7,2,3,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [3,6,2,1,4,7,5,8]=>[3,2,1,6,7,4,5,8]=>[8,5,4,7,6,1,2,3]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [3,6,7,2,4,5,1,8]=>[6,3,2,7,4,5,1,8]=>[8,1,5,4,7,2,3,6]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [3,5,2,7,4,6,1,8]=>[5,7,3,2,4,6,1,8]=>[8,1,6,4,2,3,7,5]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [7,3,1,4,6,8,2,5]=>[7,1,3,4,6,2,8,5]=>[5,8,2,6,4,3,1,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [3,2,6,1,5,7,4,8]=>[6,3,2,5,7,1,4,8]=>[8,4,1,7,5,2,3,6]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [3,6,2,1,5,7,4,8]=>[3,2,6,5,7,1,4,8]=>[8,4,1,7,5,6,2,3]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [6,3,2,1,5,7,4,8]=>[3,2,6,1,5,7,4,8]=>[8,4,7,5,1,6,2,3]=>[[1,3,6],[2,7,8],[4],[5]]=>10 [4,2,6,1,5,3,7,8]=>[2,4,6,1,5,3,7,8]=>[8,7,3,5,1,6,4,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [4,2,1,7,5,3,6,8]=>[2,4,7,1,5,3,6,8]=>[8,6,3,5,1,7,4,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [7,4,1,5,6,2,3,8]=>[4,5,1,2,7,6,3,8]=>[8,3,6,7,2,1,5,4]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [6,2,5,1,3,7,8,4]=>[2,1,6,3,5,7,8,4]=>[4,8,7,5,3,6,1,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [6,3,5,1,2,7,4,8]=>[1,6,3,2,5,7,4,8]=>[8,4,7,5,2,3,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [5,2,6,4,1,3,7,8]=>[5,6,2,1,4,3,7,8]=>[8,7,3,4,1,2,6,5]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [4,6,5,1,7,2,3,8]=>[4,6,1,5,2,7,3,8]=>[8,3,7,2,5,1,6,4]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [3,6,5,1,2,7,4,8]=>[1,6,5,3,7,2,4,8]=>[8,4,2,7,3,5,6,1]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [6,5,2,1,4,7,8,3]=>[2,6,1,5,4,7,8,3]=>[3,8,7,4,5,1,6,2]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [6,5,3,1,4,7,2,8]=>[1,3,6,5,4,7,2,8]=>[8,2,7,4,5,6,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>13 [2,3,1,8,5,4,7,6]=>[2,3,8,5,7,1,4,6]=>[6,4,1,7,5,8,3,2]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [2,4,1,5,8,3,7,6]=>[8,4,2,5,7,1,3,6]=>[6,3,1,7,5,2,4,8]=>[[1,4,7,8],[2,5],[3,6]]=>8 [2,4,1,5,3,8,7,6]=>[4,8,2,5,7,1,3,6]=>[6,3,1,7,5,2,8,4]=>[[1,4,7],[2,5,8],[3,6]]=>7 [3,4,5,1,8,2,7,6]=>[3,4,5,8,1,7,2,6]=>[6,2,7,1,8,5,4,3]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [2,4,8,5,3,1,7,6]=>[2,8,4,5,3,7,1,6]=>[6,1,7,3,5,4,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [3,4,6,2,1,7,5,8]=>[6,3,4,2,7,1,5,8]=>[8,5,1,7,2,4,3,6]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [3,5,6,2,7,1,4,8]=>[5,6,3,7,2,1,4,8]=>[8,4,1,2,7,3,6,5]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [3,5,6,2,7,1,8,4]=>[5,6,3,7,2,8,1,4]=>[4,1,8,2,7,3,6,5]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [3,5,6,2,7,8,1,4]=>[5,6,3,7,8,2,1,4]=>[4,1,2,8,7,3,6,5]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [2,4,8,6,3,7,1,5]=>[6,4,8,7,2,3,1,5]=>[5,1,3,2,7,8,4,6]=>[[1,3,5,6],[2,7,8],[4]]=>14 [1,8,4,6,3,7,2,5]=>[6,4,8,7,1,3,2,5]=>[5,2,3,1,7,8,4,6]=>[[1,3,5,6],[2,7,8],[4]]=>14 [3,4,6,8,2,7,5,1]=>[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[[1,2,4,7,8],[3,5],[6]]=>15 [3,4,6,2,8,7,5,1]=>[6,8,3,4,7,2,5,1]=>[1,5,2,7,4,3,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>14 [3,5,6,2,7,8,4,1]=>[5,6,3,7,8,2,4,1]=>[1,4,2,8,7,3,6,5]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [3,5,6,2,7,4,1,8]=>[5,6,3,7,2,4,1,8]=>[8,1,4,2,7,3,6,5]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [1,8,5,6,7,3,2,4]=>[5,1,6,8,7,3,2,4]=>[4,2,3,7,8,6,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>16 [2,5,8,6,7,3,1,4]=>[5,8,6,2,7,3,1,4]=>[4,1,3,7,2,6,8,5]=>[[1,3,4,7],[2,6],[5,8]]=>16 [3,5,6,8,7,2,1,4]=>[8,5,6,7,3,2,1,4]=>[4,1,2,3,7,6,5,8]=>[[1,3,4,5,8],[2,6],[7]]=>16 [3,4,6,1,8,7,2,5]=>[6,8,3,4,1,7,2,5]=>[5,2,7,1,4,3,8,6]=>[[1,3,7],[2,5,8],[4,6]]=>12 [1,8,3,2,6,7,5,4]=>[1,8,6,7,3,5,2,4]=>[4,2,5,3,7,6,8,1]=>[[1,3,5,7],[2,4,6],[8]]=>12 [2,5,1,6,7,8,4,3]=>[2,5,6,7,8,4,1,3]=>[3,1,4,8,7,6,5,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [3,5,6,1,7,4,2,8]=>[5,3,6,7,1,4,2,8]=>[8,2,4,1,7,6,3,5]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [3,5,6,1,7,4,8,2]=>[5,3,6,7,1,4,8,2]=>[2,8,4,1,7,6,3,5]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [3,4,6,8,1,7,5,2]=>[6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>14 [2,4,8,6,1,7,5,3]=>[6,4,8,7,2,5,1,3]=>[3,1,5,2,7,8,4,6]=>[[1,3,5,6],[2,4,7,8]]=>14 [1,8,4,6,2,7,5,3]=>[8,4,1,6,7,5,2,3]=>[3,2,5,7,6,1,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>14 [1,8,5,6,7,2,4,3]=>[5,1,6,8,7,4,2,3]=>[3,2,4,7,8,6,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>16 [4,5,6,7,8,1,3,2]=>[4,5,6,1,7,8,3,2]=>[2,3,8,7,1,6,5,4]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [4,5,6,7,1,3,8,2]=>[4,5,1,6,7,3,8,2]=>[2,8,3,7,6,1,5,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [4,5,6,7,3,1,8,2]=>[4,5,6,1,7,3,8,2]=>[2,8,3,7,1,6,5,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [2,5,8,6,7,4,1,3]=>[5,8,6,7,4,2,1,3]=>[3,1,2,4,7,6,8,5]=>[[1,3,4,5,7],[2,6],[8]]=>17 [1,8,5,6,7,4,3,2]=>[5,6,8,7,4,3,1,2]=>[2,1,3,4,7,8,6,5]=>[[1,3,4,5,6],[2,7],[8]]=>18 [2,5,8,6,7,4,3,1]=>[5,8,6,7,4,2,3,1]=>[1,3,2,4,7,6,8,5]=>[[1,2,4,5,7],[3,6],[8]]=>18 [8,2,5,3,7,1,6,4]=>[2,3,5,8,7,1,6,4]=>[4,6,1,7,8,5,3,2]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [4,2,5,6,1,8,3,7]=>[2,4,5,6,1,8,3,7]=>[7,3,8,1,6,5,4,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>10 [4,2,5,6,1,7,3,8]=>[2,4,5,1,6,7,3,8]=>[8,3,7,6,1,5,4,2]=>[[1,3],[2,6],[4],[5],[7],[8]]=>9 [6,1,5,7,3,2,4,8]=>[6,5,3,1,2,7,4,8]=>[8,4,7,2,1,3,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [6,1,5,8,3,2,4,7]=>[1,6,8,3,2,5,4,7]=>[7,4,5,2,3,8,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>13 [3,8,2,4,7,1,5,6]=>[8,3,2,4,1,7,5,6]=>[6,5,7,1,4,2,3,8]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [3,6,8,2,4,7,1,5]=>[6,3,8,2,7,4,1,5]=>[5,1,4,7,2,8,3,6]=>[[1,3,4,6],[2,7,8],[5]]=>15 [4,3,5,6,7,1,8,2]=>[4,3,5,6,1,7,8,2]=>[2,8,7,1,6,5,3,4]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [3,7,1,5,6,8,2,4]=>[3,5,7,6,1,8,2,4]=>[4,2,8,1,6,7,5,3]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [3,7,1,5,8,2,4,6]=>[3,7,1,8,2,5,4,6]=>[6,4,5,2,8,1,7,3]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [8,3,2,4,6,1,5,7]=>[3,6,2,4,1,5,8,7]=>[7,8,5,1,4,2,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [3,2,5,1,7,4,6,8]=>[3,5,7,2,1,4,6,8]=>[8,6,4,1,2,7,5,3]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [3,2,5,1,8,4,6,7]=>[8,3,5,2,1,4,6,7]=>[7,6,4,1,2,5,3,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [3,2,5,1,7,8,4,6]=>[3,5,7,8,2,1,4,6]=>[6,4,1,2,8,7,5,3]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [6,1,5,7,8,3,2,4]=>[6,5,7,3,1,2,8,4]=>[4,8,2,1,3,7,5,6]=>[[1,2,6,8],[3,5],[4,7]]=>15 [4,2,5,6,1,7,8,3]=>[2,4,5,1,6,7,8,3]=>[3,8,7,6,1,5,4,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>10 [5,7,6,1,8,3,4,2]=>[7,1,5,6,3,8,4,2]=>[2,4,8,3,6,5,1,7]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [5,8,6,1,7,3,4,2]=>[5,8,1,6,3,7,4,2]=>[2,4,7,3,6,1,8,5]=>[[1,2,3,7],[4,5],[6,8]]=>19 [6,1,5,8,7,3,2,4]=>[6,8,5,3,1,2,7,4]=>[4,7,2,1,3,5,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>16 [3,2,5,1,6,4,7,8]=>[3,5,2,6,1,4,7,8]=>[8,7,4,1,6,2,5,3]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [3,2,4,1,8,7,5,6]=>[8,3,7,2,4,1,5,6]=>[6,5,1,4,2,7,3,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [3,2,5,1,6,8,7,4]=>[3,5,8,2,6,7,1,4]=>[4,1,7,6,2,8,5,3]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [3,7,6,5,1,8,4,2]=>[3,7,6,5,8,1,4,2]=>[2,4,1,8,5,6,7,3]=>[[1,2,4,6,7],[3,5],[8]]=>17 [3,2,5,1,6,7,8,4]=>[3,5,2,6,7,8,1,4]=>[4,1,8,7,6,2,5,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [3,2,4,1,8,5,6,7]=>[8,3,2,4,1,5,6,7]=>[7,6,5,1,4,2,3,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>7 [3,2,4,1,8,5,7,6]=>[8,3,2,4,7,1,5,6]=>[6,5,1,7,4,2,3,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [8,3,2,4,7,6,1,5]=>[8,3,7,2,4,1,6,5]=>[5,6,1,4,2,7,3,8]=>[[1,2,6,8],[3,4,7],[5]]=>16 [6,5,1,8,4,2,3,7]=>[6,1,5,2,8,4,3,7]=>[7,3,4,8,2,5,1,6]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [8,4,2,3,7,5,1,6]=>[4,2,8,3,5,1,7,6]=>[6,7,1,5,3,8,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [5,2,6,1,8,3,7,4]=>[5,2,6,8,1,3,7,4]=>[4,7,3,1,8,6,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>12 [5,2,6,1,8,4,7,3]=>[5,8,2,6,1,4,7,3]=>[3,7,4,1,6,2,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>13 [8,5,1,6,4,2,3,7]=>[5,1,6,2,4,3,8,7]=>[7,8,3,4,2,6,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [3,2,5,1,7,6,4,8]=>[3,5,7,2,6,1,4,8]=>[8,4,1,6,2,7,5,3]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [3,2,5,1,8,6,4,7]=>[8,3,5,2,6,1,4,7]=>[7,4,1,6,2,5,3,8]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [8,5,6,1,7,3,4,2]=>[5,6,1,3,8,7,4,2]=>[2,4,7,8,3,1,6,5]=>[[1,2,3,4],[5,7],[6,8]]=>20 [8,5,1,6,7,4,2,3]=>[1,8,5,6,2,7,4,3]=>[3,4,7,2,6,5,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [3,2,4,1,8,6,5,7]=>[8,3,2,4,6,1,5,7]=>[7,5,1,6,4,2,3,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [3,2,4,1,5,8,6,7]=>[3,8,2,4,1,5,6,7]=>[7,6,5,1,4,2,8,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [3,2,5,1,7,8,6,4]=>[3,5,7,8,2,6,1,4]=>[4,1,6,2,8,7,5,3]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [7,8,5,1,6,4,2,3]=>[7,5,1,2,8,6,4,3]=>[3,4,6,8,2,1,5,7]=>[[1,2,3,4],[5,7,8],[6]]=>21 [3,7,5,1,8,6,4,2]=>[3,5,7,8,6,1,4,2]=>[2,4,1,6,8,7,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [3,2,5,1,8,7,6,4]=>[8,3,5,7,2,6,1,4]=>[4,1,6,2,7,5,3,8]=>[[1,3,5,8],[2,4,6],[7]]=>11 [6,5,7,3,1,8,4,2]=>[1,6,5,3,7,8,4,2]=>[2,4,8,7,3,5,6,1]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [4,6,3,7,1,8,5,2]=>[6,4,3,7,8,1,5,2]=>[2,5,1,8,7,3,4,6]=>[[1,2,4,8],[3,5,7],[6]]=>15 [4,6,3,7,5,1,8,2]=>[6,4,7,3,1,5,8,2]=>[2,8,5,1,3,7,4,6]=>[[1,2,6,8],[3,5,7],[4]]=>15 [2,5,7,4,1,6,3,8]=>[7,5,4,2,6,1,3,8]=>[8,3,1,6,2,4,5,7]=>[[1,4,6,7,8],[2,5],[3]]=>11 [2,5,7,4,1,6,8,3]=>[7,5,4,2,6,8,1,3]=>[3,1,8,6,2,4,5,7]=>[[1,3,6,7,8],[2,4],[5]]=>12 [4,3,7,5,1,8,6,2]=>[7,4,3,8,1,5,6,2]=>[2,6,5,1,8,3,4,7]=>[[1,2,5,8],[3,6,7],[4]]=>14 [6,4,3,8,5,1,7,2]=>[4,6,3,1,8,5,7,2]=>[2,7,5,8,1,3,6,4]=>[[1,2,4],[3,6,7],[5,8]]=>17 [5,4,8,3,6,1,7,2]=>[8,5,4,3,1,6,7,2]=>[2,7,6,1,3,4,5,8]=>[[1,2,6,7,8],[3,5],[4]]=>17 [5,4,3,6,7,1,8,2]=>[5,4,3,6,1,7,8,2]=>[2,8,7,1,6,3,4,5]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [2,5,4,6,1,7,3,8]=>[5,4,6,2,7,1,3,8]=>[8,3,1,7,2,6,4,5]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [2,5,4,6,8,1,7,3]=>[5,8,4,6,2,7,1,3]=>[3,1,7,2,6,4,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>12 [2,4,1,7,5,8,6,3]=>[7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[[1,3,6,8],[2,4,7],[5]]=>10 [2,6,4,1,8,5,3,7]=>[4,6,2,8,5,1,3,7]=>[7,3,1,5,8,2,6,4]=>[[1,4,5],[2,6,7],[3,8]]=>11 [2,5,8,4,1,6,3,7]=>[5,4,2,8,6,1,3,7]=>[7,3,1,6,8,2,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>12 [3,5,2,8,1,6,4,7]=>[8,5,3,2,6,1,4,7]=>[7,4,1,6,2,3,5,8]=>[[1,4,6,7,8],[2,5],[3]]=>11 [3,2,1,6,8,5,4,7]=>[8,3,6,2,5,1,4,7]=>[7,4,1,5,2,6,3,8]=>[[1,4,6,8],[2,5,7],[3]]=>9 [4,3,8,2,6,7,1,5]=>[4,3,8,6,7,2,1,5]=>[5,1,2,7,6,8,3,4]=>[[1,3,4,6],[2,5,8],[7]]=>15 [4,3,2,6,7,1,5,8]=>[4,3,6,7,2,1,5,8]=>[8,5,1,2,7,6,3,4]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [4,3,7,2,6,8,1,5]=>[7,4,3,6,8,2,1,5]=>[5,1,2,8,6,3,4,7]=>[[1,3,4,7,8],[2,5],[6]]=>14 [4,3,7,8,2,6,1,5]=>[7,8,4,3,6,2,1,5]=>[5,1,2,6,3,4,8,7]=>[[1,3,4,6,7],[2,5,8]]=>16 [2,5,7,4,8,1,6,3]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[[1,3,5,6,8],[2,4,7]]=>14 [3,2,5,7,8,1,6,4]=>[7,8,3,5,2,6,1,4]=>[4,1,6,2,5,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>12 [3,2,5,7,1,6,4,8]=>[7,3,5,2,6,1,4,8]=>[8,4,1,6,2,5,3,7]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [6,3,2,7,1,5,4,8]=>[3,6,2,7,1,5,4,8]=>[8,4,5,1,7,2,6,3]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [6,3,2,7,1,5,8,4]=>[3,6,2,7,1,5,8,4]=>[4,8,5,1,7,2,6,3]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [6,3,2,7,8,1,5,4]=>[3,6,7,2,8,1,5,4]=>[4,5,1,8,2,7,6,3]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [6,5,2,1,7,8,4,3]=>[2,6,1,5,7,8,4,3]=>[3,4,8,7,5,1,6,2]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [2,1,7,5,3,8,6,4]=>[5,2,7,8,6,1,3,4]=>[4,3,1,6,8,7,2,5]=>[[1,4,5],[2,6,8],[3,7]]=>10 [6,3,2,7,1,4,8,5]=>[3,6,2,1,4,7,8,5]=>[5,8,7,4,1,2,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [6,3,2,1,4,7,8,5]=>[3,2,1,4,6,7,8,5]=>[5,8,7,6,4,1,2,3]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [6,3,2,1,4,7,5,8]=>[3,2,1,4,6,7,5,8]=>[8,5,7,6,4,1,2,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [3,5,2,1,7,4,6,8]=>[5,3,7,2,1,4,6,8]=>[8,6,4,1,2,7,3,5]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [3,5,2,1,7,8,4,6]=>[5,3,7,8,2,1,4,6]=>[6,4,1,2,8,7,3,5]=>[[1,4,5,8],[2,6],[3,7]]=>10 [5,8,4,2,1,7,3,6]=>[2,5,4,1,8,7,3,6]=>[6,3,7,8,1,4,5,2]=>[[1,3,4],[2,6,7],[5,8]]=>16 [4,6,2,1,8,3,7,5]=>[2,6,4,8,1,7,3,5]=>[5,3,7,1,8,4,6,2]=>[[1,3,5],[2,6,7],[4,8]]=>12 [2,4,1,7,3,8,6,5]=>[7,4,8,2,6,1,3,5]=>[5,3,1,6,2,8,4,7]=>[[1,4,6,8],[2,5,7],[3]]=>9 [3,5,8,2,1,7,4,6]=>[5,3,8,7,2,1,4,6]=>[6,4,1,2,7,8,3,5]=>[[1,4,5,6],[2,7,8],[3]]=>13 [4,8,3,7,2,1,5,6]=>[8,4,3,2,1,7,5,6]=>[6,5,7,1,2,3,4,8]=>[[1,3,6,7,8],[2,5],[4]]=>16 [4,3,7,2,8,1,5,6]=>[7,4,8,3,2,1,5,6]=>[6,5,1,2,3,8,4,7]=>[[1,4,5,6,8],[2,7],[3]]=>13 [4,3,7,2,1,5,6,8]=>[7,4,3,2,1,5,6,8]=>[8,6,5,1,2,3,4,7]=>[[1,5,6,7,8],[2],[3],[4]]=>10 [3,5,2,8,1,7,4,6]=>[8,5,3,7,2,1,4,6]=>[6,4,1,2,7,3,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>12 [6,3,2,8,1,4,7,5]=>[3,6,2,8,1,4,7,5]=>[5,7,4,1,8,2,6,3]=>[[1,2,5],[3,6,7],[4,8]]=>13 [3,2,1,4,7,5,8,6]=>[3,7,2,8,1,4,5,6]=>[6,5,4,1,8,2,7,3]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [5,3,2,1,8,4,6,7]=>[3,5,2,1,8,4,6,7]=>[7,6,4,8,1,2,5,3]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [4,8,3,2,1,5,6,7]=>[4,3,2,1,5,8,6,7]=>[7,6,8,5,1,2,3,4]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [4,3,8,2,1,5,6,7]=>[4,3,2,1,8,5,6,7]=>[7,6,5,8,1,2,3,4]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [1,9,8,7,6,5,4,3,2]=>[9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>28 [1,10,9,8,7,6,5,4,3,2]=>[10,9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>36 [6,2,3,1,5,4,8,7]=>[2,3,6,1,5,8,4,7]=>[7,4,8,5,1,6,3,2]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [8,4,5,2,3,1,7,6]=>[4,2,5,3,8,1,7,6]=>[6,7,1,8,3,5,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>16 [6,2,5,3,4,1,8,7]=>[2,6,3,5,4,8,1,7]=>[7,1,8,4,5,3,6,2]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [6,1,5,3,4,2,8,7]=>[1,6,5,3,4,8,2,7]=>[7,2,8,4,3,5,6,1]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [6,3,5,1,4,2,8,7]=>[3,6,1,5,4,8,2,7]=>[7,2,8,4,5,1,6,3]=>[[1,3,5,7],[2,4],[6,8]]=>12 [8,3,5,2,4,1,7,6]=>[5,3,2,4,8,1,7,6]=>[6,7,1,8,4,2,3,5]=>[[1,2,4,8],[3,5,7],[6]]=>15 [8,3,7,2,4,1,6,5]=>[3,2,4,8,7,1,6,5]=>[5,6,1,7,8,4,2,3]=>[[1,2,4,5],[3,6,8],[7]]=>17 [8,3,5,1,4,2,7,6]=>[3,5,1,4,8,2,7,6]=>[6,7,2,8,4,1,5,3]=>[[1,2,4],[3,5,7],[6,8]]=>14 [8,1,5,3,4,2,7,6]=>[3,5,4,8,1,2,7,6]=>[6,7,2,1,8,4,5,3]=>[[1,2,5],[3,6,7],[4,8]]=>13 [8,4,5,1,3,2,7,6]=>[1,4,5,3,8,2,7,6]=>[6,7,2,8,3,5,4,1]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [2,1,8,4,5,3,7,6]=>[2,4,5,8,7,1,3,6]=>[6,3,1,7,8,5,4,2]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [8,6,7,4,5,1,3,2]=>[1,6,4,8,7,5,3,2]=>[2,3,5,7,8,4,6,1]=>[[1,2,3,4,5],[6,7],[8]]=>24 [8,6,7,1,5,3,4,2]=>[8,1,6,3,7,5,4,2]=>[2,4,5,7,3,6,1,8]=>[[1,2,3,4,8],[5,6],[7]]=>22 [8,3,7,5,6,1,4,2]=>[3,1,8,7,5,6,4,2]=>[2,4,6,5,7,8,1,3]=>[[1,2,3,5,6],[4,8],[7]]=>21 [8,3,7,4,6,2,5,1]=>[8,3,7,4,2,6,5,1]=>[1,5,6,2,4,7,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>21 [8,3,7,4,6,1,5,2]=>[3,4,8,7,1,6,5,2]=>[2,5,6,1,7,8,4,3]=>[[1,2,3,5,6],[4,7],[8]]=>20 [8,3,7,1,6,4,5,2]=>[8,7,3,1,4,6,5,2]=>[2,5,6,4,1,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>19 [8,1,7,3,6,4,5,2]=>[1,8,3,7,6,4,5,2]=>[2,5,4,6,7,3,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>18 [8,1,7,5,6,3,4,2]=>[5,1,8,7,6,3,4,2]=>[2,4,3,6,7,8,1,5]=>[[1,2,4,5,6],[3,8],[7]]=>20 [2,1,8,4,7,5,6,3]=>[2,8,4,7,5,6,1,3]=>[3,1,6,5,7,4,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [8,1,7,3,6,2,5,4]=>[1,8,7,3,6,2,5,4]=>[4,5,2,6,3,7,8,1]=>[[1,2,4,6,7],[3,5],[8]]=>17 [8,3,7,1,6,2,5,4]=>[3,8,1,7,6,2,5,4]=>[4,5,2,6,7,1,8,3]=>[[1,2,4,5,7],[3,8],[6]]=>18 [8,3,7,2,6,4,5,1]=>[8,3,2,7,4,6,5,1]=>[1,5,6,4,7,2,3,8]=>[[1,2,3,5,8],[4,7],[6]]=>20 [8,2,7,3,6,4,5,1]=>[2,8,3,7,4,6,5,1]=>[1,5,6,4,7,3,8,2]=>[[1,2,3,5,7],[4],[6],[8]]=>19 [8,2,7,3,6,1,5,4]=>[2,8,3,7,6,1,5,4]=>[4,5,1,6,7,3,8,2]=>[[1,2,4,5,7],[3,6],[8]]=>18 [2,1,8,3,7,4,6,5]=>[2,8,7,1,6,3,4,5]=>[5,4,3,6,1,7,8,2]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [8,1,5,2,4,3,7,6]=>[5,1,4,8,2,3,7,6]=>[6,7,3,2,8,4,1,5]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [8,2,7,3,4,1,6,5]=>[2,3,4,8,7,1,6,5]=>[5,6,1,7,8,4,3,2]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [8,4,7,5,6,2,3,1]=>[4,8,5,2,7,6,3,1]=>[1,3,6,7,2,5,8,4]=>[[1,2,3,4,7],[5,6],[8]]=>23 [8,4,7,2,3,1,6,5]=>[2,4,3,8,7,1,6,5]=>[5,6,1,7,8,3,4,2]=>[[1,2,4,5],[3,6,7],[8]]=>18 [8,2,3,1,7,4,6,5]=>[2,8,3,7,1,4,6,5]=>[5,6,4,1,7,3,8,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [8,2,3,1,5,4,7,6]=>[2,3,5,8,1,4,7,6]=>[6,7,4,1,8,5,3,2]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [4,2,3,1,8,5,7,6]=>[4,2,8,3,7,1,5,6]=>[6,5,1,7,3,8,2,4]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [8,5,7,2,6,3,4,1]=>[5,2,8,3,7,6,4,1]=>[1,4,6,7,3,8,2,5]=>[[1,2,3,4,6],[5,8],[7]]=>22 [8,5,7,2,6,1,4,3]=>[2,5,8,1,7,6,4,3]=>[3,4,6,7,1,8,5,2]=>[[1,2,3,4,6],[5,7],[8]]=>21 [8,2,7,5,6,1,4,3]=>[5,2,8,7,6,1,4,3]=>[3,4,1,6,7,8,2,5]=>[[1,2,4,5,6],[3,7,8]]=>20 [8,6,7,2,5,1,4,3]=>[2,1,8,6,7,5,4,3]=>[3,4,5,7,6,8,1,2]=>[[1,2,3,4,6],[5,8],[7]]=>22 [8,6,7,1,5,2,4,3]=>[1,2,8,6,7,5,4,3]=>[3,4,5,7,6,8,2,1]=>[[1,2,3,4,6],[5],[7],[8]]=>21 [2,1,8,6,7,3,5,4]=>[6,2,8,7,5,1,3,4]=>[4,3,1,5,7,8,2,6]=>[[1,4,5,6],[2,7,8],[3]]=>13 [8,1,3,2,7,5,6,4]=>[8,7,3,1,2,5,6,4]=>[4,6,5,2,1,3,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [8,1,7,2,6,4,5,3]=>[1,8,7,2,6,4,5,3]=>[3,5,4,6,2,7,8,1]=>[[1,2,4,6,7],[3],[5],[8]]=>17 [8,2,7,4,6,1,5,3]=>[2,4,8,7,6,1,5,3]=>[3,5,1,6,7,8,4,2]=>[[1,2,4,5,6],[3,7],[8]]=>19 [8,2,7,4,6,3,5,1]=>[8,7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>20 [8,4,7,2,6,3,5,1]=>[4,2,8,7,3,6,5,1]=>[1,5,6,3,7,8,2,4]=>[[1,2,3,5,6],[4,8],[7]]=>21 [8,4,7,2,6,1,5,3]=>[8,4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4,8]=>[[1,2,3,5,8],[4,6,7]]=>20 [8,4,7,1,6,2,5,3]=>[4,8,1,7,2,6,5,3]=>[3,5,6,2,7,1,8,4]=>[[1,2,3,5,7],[4,8],[6]]=>19 [8,1,7,4,6,2,5,3]=>[1,8,4,7,6,2,5,3]=>[3,5,2,6,7,4,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>18 [2,1,8,5,7,3,6,4]=>[8,5,2,7,6,1,3,4]=>[4,3,1,6,7,2,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>12 [8,5,7,4,6,1,3,2]=>[1,8,5,4,7,6,3,2]=>[2,3,6,7,4,5,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>23 [8,4,7,3,6,1,5,2]=>[4,3,8,7,1,6,5,2]=>[2,5,6,1,7,8,3,4]=>[[1,2,3,5,6],[4,7,8]]=>21 [2,4,8,3,6,1,7,5]=>[2,8,4,6,3,7,1,5]=>[5,1,7,3,6,4,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [1,7,2,8,4,6,5,3]=>[1,7,8,6,4,5,2,3]=>[3,2,5,4,6,8,7,1]=>[[1,3,5,6],[2,4,7],[8]]=>13 [6,7,2,8,4,1,5,3]=>[6,7,2,1,4,8,5,3]=>[3,5,8,4,1,2,7,6]=>[[1,2,3],[4,6,7],[5,8]]=>18 [6,3,1,8,4,5,7,2]=>[1,6,3,4,8,5,7,2]=>[2,7,5,8,4,3,6,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [3,1,6,8,4,5,7,2]=>[1,8,6,3,4,5,7,2]=>[2,7,5,4,3,6,8,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>12 [2,3,6,8,4,5,7,1]=>[2,8,6,3,4,5,7,1]=>[1,7,5,4,3,6,8,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>12 [6,3,7,8,4,1,5,2]=>[6,7,3,1,4,8,5,2]=>[2,5,8,4,1,3,7,6]=>[[1,2,3],[4,6,7],[5,8]]=>18 [1,3,7,8,4,6,5,2]=>[3,7,8,6,4,5,1,2]=>[2,1,5,4,6,8,7,3]=>[[1,3,5,6],[2,4,7],[8]]=>13 [1,5,7,8,2,4,6,3]=>[7,5,1,8,4,6,2,3]=>[3,2,6,4,8,1,5,7]=>[[1,3,5,8],[2,4,7],[6]]=>13 [3,6,7,8,4,2,5,1]=>[6,7,3,8,4,2,5,1]=>[1,5,2,4,8,3,7,6]=>[[1,2,4,5],[3,7],[6,8]]=>18 [5,2,8,7,3,6,1,4]=>[5,8,7,2,3,1,6,4]=>[4,6,1,3,2,7,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>17 [3,2,7,8,4,6,5,1]=>[7,3,8,6,2,4,5,1]=>[1,5,4,2,6,8,3,7]=>[[1,2,5,6],[3,7,8],[4]]=>15 [5,2,7,8,1,4,6,3]=>[7,5,8,2,1,4,6,3]=>[3,6,4,1,2,8,5,7]=>[[1,2,6,8],[3,5,7],[4]]=>15 [1,2,7,8,5,4,6,3]=>[7,5,4,8,6,1,2,3]=>[3,2,1,6,8,4,5,7]=>[[1,4,5,8],[2,6,7],[3]]=>12 [7,2,5,8,3,4,6,1]=>[5,2,7,3,4,8,6,1]=>[1,6,8,4,3,7,2,5]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [6,2,8,5,4,3,1,7]=>[6,8,2,5,4,3,1,7]=>[7,1,3,4,5,2,8,6]=>[[1,3,4,5,7],[2,8],[6]]=>17 [2,8,3,5,4,1,6,7]=>[5,2,3,4,1,8,6,7]=>[7,6,8,1,4,3,2,5]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [2,8,4,5,3,1,6,7]=>[4,5,2,3,1,8,6,7]=>[7,6,8,1,3,2,5,4]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [6,4,8,5,2,3,1,7]=>[6,4,2,8,5,3,1,7]=>[7,1,3,5,8,2,4,6]=>[[1,3,4,5],[2,7,8],[6]]=>18 [7,3,5,8,2,4,6,1]=>[5,7,3,2,4,8,6,1]=>[1,6,8,4,2,3,7,5]=>[[1,2,3,7],[4,6],[5,8]]=>18 [4,3,1,2,8,5,6,7]=>[4,1,8,3,2,5,6,7]=>[7,6,5,2,3,8,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [3,4,2,1,8,5,6,7]=>[8,3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>8 [2,7,6,8,4,3,5,1]=>[2,7,6,8,4,3,5,1]=>[1,5,3,4,8,6,7,2]=>[[1,2,4,5,7],[3,6],[8]]=>18 [5,7,1,8,3,4,6,2]=>[5,1,7,3,8,4,6,2]=>[2,6,4,8,3,7,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [3,7,5,8,1,4,6,2]=>[7,3,5,1,8,4,6,2]=>[2,6,4,8,1,5,3,7]=>[[1,2,4,8],[3,6],[5,7]]=>16 [1,7,5,8,3,4,6,2]=>[5,3,7,4,8,6,1,2]=>[2,1,6,8,4,7,3,5]=>[[1,3,4],[2,5,6],[7,8]]=>15 [1,6,8,5,4,3,2,7]=>[8,6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6,8]=>[[1,4,5,6,7,8],[2],[3]]=>15 [5,6,8,1,4,3,2,7]=>[8,1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>16 [7,5,8,6,3,4,2,1]=>[5,7,3,8,6,4,2,1]=>[1,2,4,6,8,3,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>24 [2,4,8,3,6,5,1,7]=>[2,8,4,6,3,5,1,7]=>[7,1,5,3,6,4,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [1,6,8,4,5,3,2,7]=>[4,8,6,5,3,1,2,7]=>[7,2,1,3,5,6,8,4]=>[[1,4,5,6,7],[2,8],[3]]=>14 [1,7,3,8,5,4,6,2]=>[7,5,3,4,8,6,1,2]=>[2,1,6,8,4,3,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>14 [5,7,8,4,3,6,1,2]=>[7,8,5,4,3,1,6,2]=>[2,6,1,3,4,5,8,7]=>[[1,2,5,6,7],[3,4,8]]=>21 [2,8,7,4,1,6,5,3]=>[4,8,2,7,6,5,1,3]=>[3,1,5,6,7,2,8,4]=>[[1,3,4,5,7],[2,6,8]]=>17 [2,8,5,4,3,1,6,7]=>[5,4,2,3,1,8,6,7]=>[7,6,8,1,3,2,4,5]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [6,5,8,4,2,3,1,7]=>[6,2,8,5,4,3,1,7]=>[7,1,3,4,5,8,2,6]=>[[1,3,4,5,6],[2,8],[7]]=>19 [1,4,3,2,8,5,6,7]=>[8,4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [7,3,2,8,5,4,6,1]=>[7,3,5,2,4,8,6,1]=>[1,6,8,4,2,5,3,7]=>[[1,2,3,8],[4,6],[5,7]]=>17 [2,8,3,4,5,1,6,7]=>[2,3,4,5,1,8,6,7]=>[7,6,8,1,5,4,3,2]=>[[1,3],[2,5],[4],[6],[7],[8]]=>10 [6,2,8,4,5,3,1,7]=>[6,2,4,8,5,3,1,7]=>[7,1,3,5,8,4,2,6]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [7,2,3,8,5,4,6,1]=>[7,5,2,3,4,8,6,1]=>[1,6,8,4,3,2,5,7]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [4,2,3,1,8,5,6,7]=>[4,2,8,3,1,5,6,7]=>[7,6,5,1,3,8,2,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [3,2,1,4,8,5,6,7]=>[8,3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [5,1,3,2,4,8,6,7]=>[3,5,1,2,8,4,6,7]=>[7,6,4,8,2,1,5,3]=>[[1,4],[2,7],[3,8],[5],[6]]=>7 [2,8,1,5,3,4,7,6]=>[2,1,8,3,5,7,4,6]=>[6,4,7,5,3,8,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [1,8,4,2,5,3,6,7]=>[1,4,5,2,3,8,6,7]=>[7,6,8,3,2,5,4,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>9 [1,5,2,8,4,3,6,7]=>[8,1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>8 [1,2,8,5,4,3,6,7]=>[8,5,1,2,4,3,6,7]=>[7,6,3,4,2,1,5,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>8 [1,2,4,8,5,3,7,6]=>[4,5,8,7,1,2,3,6]=>[6,3,2,1,7,8,5,4]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [1,2,7,4,8,5,3,6]=>[7,1,8,4,5,2,3,6]=>[6,3,2,5,4,8,1,7]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [1,5,2,7,8,4,3,6]=>[5,1,7,8,4,2,3,6]=>[6,3,2,4,8,7,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [5,1,2,7,4,8,3,6]=>[1,5,7,8,2,4,3,6]=>[6,3,4,2,8,7,5,1]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [8,3,5,1,4,7,2,6]=>[3,5,8,1,4,2,7,6]=>[6,7,2,4,1,8,5,3]=>[[1,2,6],[3,4,7],[5,8]]=>15 [6,1,2,8,7,4,3,5]=>[8,6,4,1,2,3,7,5]=>[5,7,3,2,1,4,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [6,4,1,2,8,7,3,5]=>[8,1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [7,1,6,2,8,4,3,5]=>[7,6,1,4,2,3,8,5]=>[5,8,3,2,4,1,6,7]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [6,7,1,4,2,8,3,5]=>[1,6,2,4,7,3,8,5]=>[5,8,3,7,4,2,6,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>14 [6,3,7,1,4,8,2,5]=>[3,6,1,4,7,2,8,5]=>[5,8,2,7,4,1,6,3]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [3,7,8,1,5,2,4,6]=>[1,3,7,2,8,5,4,6]=>[6,4,5,8,2,7,3,1]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [1,7,2,8,4,5,3,6]=>[7,1,2,8,4,5,3,6]=>[6,3,5,4,8,2,1,7]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [1,4,2,7,8,5,3,6]=>[7,4,8,1,5,2,3,6]=>[6,3,2,5,1,8,4,7]=>[[1,4,6],[2,7,8],[3],[5]]=>9 [7,6,1,3,2,4,8,5]=>[3,1,2,4,7,6,8,5]=>[5,8,6,7,4,2,1,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [6,7,1,3,2,4,8,5]=>[3,1,2,6,4,7,8,5]=>[5,8,7,4,6,2,1,3]=>[[1,2],[3,5],[4,8],[6],[7]]=>12 [1,2,7,3,5,8,4,6]=>[7,8,1,2,5,3,4,6]=>[6,4,3,5,2,1,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [1,2,7,5,8,3,4,6]=>[7,1,8,2,5,3,4,6]=>[6,4,3,5,2,8,1,7]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [5,8,1,3,7,2,4,6]=>[5,3,1,2,8,7,4,6]=>[6,4,7,8,2,1,3,5]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [1,2,5,8,3,7,4,6]=>[5,1,8,7,2,3,4,6]=>[6,4,3,2,7,8,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [2,8,1,7,3,5,4,6]=>[2,8,1,7,3,5,4,6]=>[6,4,5,3,7,1,8,2]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [8,6,1,3,2,4,7,5]=>[3,1,2,4,6,8,7,5]=>[5,7,8,6,4,2,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [4,2,8,1,7,3,6,5]=>[8,4,2,7,1,6,3,5]=>[5,3,6,1,7,2,4,8]=>[[1,3,5,8],[2,6,7],[4]]=>13 [1,2,8,4,7,5,3,6]=>[1,8,7,4,5,2,3,6]=>[6,3,2,5,4,7,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [1,2,8,7,4,5,3,6]=>[1,8,4,7,5,2,3,6]=>[6,3,2,5,7,4,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [2,8,1,7,5,3,4,6]=>[8,2,1,7,3,5,4,6]=>[6,4,5,3,7,1,2,8]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [8,3,7,1,5,2,4,6]=>[3,1,8,2,5,4,7,6]=>[6,7,4,5,2,8,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [3,8,6,1,4,7,2,5]=>[1,3,6,8,7,4,2,5]=>[5,2,4,7,8,6,3,1]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [7,4,1,2,8,6,3,5]=>[4,7,1,2,8,3,6,5]=>[5,6,3,8,2,1,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [3,7,4,8,1,6,2,5]=>[7,3,4,1,8,6,2,5]=>[5,2,6,8,1,4,3,7]=>[[1,3,4],[2,6,8],[5,7]]=>15 [3,4,8,7,1,6,2,5]=>[3,8,7,4,1,6,2,5]=>[5,2,6,1,4,7,8,3]=>[[1,3,6,7],[2,5],[4,8]]=>15 [4,2,8,1,7,6,3,5]=>[8,4,7,2,1,6,3,5]=>[5,3,6,1,2,7,4,8]=>[[1,3,6,8],[2,5,7],[4]]=>14 [2,8,1,7,6,4,3,5]=>[2,8,7,6,1,4,3,5]=>[5,3,4,1,6,7,8,2]=>[[1,3,5,6,7],[2,8],[4]]=>15 [7,8,3,4,1,5,2,6]=>[3,1,4,7,5,2,8,6]=>[6,8,2,5,7,4,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [6,7,3,4,1,8,2,5]=>[3,1,6,4,7,2,8,5]=>[5,8,2,7,4,6,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [5,8,3,4,1,7,2,6]=>[3,5,4,1,8,7,2,6]=>[6,2,7,8,1,4,5,3]=>[[1,3,4],[2,6,7],[5,8]]=>16 [5,8,3,4,1,6,2,7]=>[3,1,5,4,8,6,2,7]=>[7,2,6,8,4,5,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [6,8,3,4,1,5,2,7]=>[3,1,4,8,6,5,2,7]=>[7,2,5,6,8,4,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [6,7,3,4,1,5,2,8]=>[3,1,6,4,7,5,2,8]=>[8,2,5,7,4,6,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [5,6,2,8,3,4,1,7]=>[5,2,6,3,8,4,1,7]=>[7,1,4,8,3,6,2,5]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [5,6,2,7,3,4,1,8]=>[2,5,6,3,7,4,1,8]=>[8,1,4,7,3,6,5,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [4,6,2,8,3,5,1,7]=>[6,2,8,4,3,5,1,7]=>[7,1,5,3,4,8,2,6]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [4,7,3,5,1,6,2,8]=>[4,3,1,7,5,6,2,8]=>[8,2,6,5,7,1,3,4]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [4,8,3,5,1,6,2,7]=>[4,3,1,5,8,6,2,7]=>[7,2,6,8,5,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [4,8,3,5,1,7,2,6]=>[4,3,5,1,8,7,2,6]=>[6,2,7,8,1,5,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>15 [4,7,3,5,1,8,2,6]=>[4,3,7,5,1,8,2,6]=>[6,2,8,1,5,7,3,4]=>[[1,3,6],[2,5,8],[4,7]]=>14 [5,6,2,4,1,7,3,8]=>[2,5,1,6,4,7,3,8]=>[8,3,7,4,6,1,5,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [4,6,2,5,1,7,3,8]=>[4,6,2,1,5,7,3,8]=>[8,3,7,5,1,2,6,4]=>[[1,3,7],[2,6,8],[4],[5]]=>11 [4,6,2,5,1,8,3,7]=>[4,6,2,5,1,8,3,7]=>[7,3,8,1,5,2,6,4]=>[[1,3,7],[2,5,8],[4,6]]=>12 [4,5,1,7,3,8,2,6]=>[4,1,5,7,8,3,2,6]=>[6,2,3,8,7,5,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [5,6,2,8,3,7,1,4]=>[2,5,6,8,3,1,7,4]=>[4,7,1,3,8,6,5,2]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [4,5,1,7,3,6,2,8]=>[7,1,4,5,3,6,2,8]=>[8,2,6,3,5,4,1,7]=>[[1,3,5,8],[2],[4],[6],[7]]=>11 [4,5,1,8,3,6,2,7]=>[4,5,1,8,3,6,2,7]=>[7,2,6,3,8,1,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [3,2,4,5,6,7,8,9,10,1]=>[3,2,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,2,3]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>10 [6,5,3,2,1,4,8,7]=>[3,2,1,6,5,8,4,7]=>[7,4,8,5,6,1,2,3]=>[[1,3,5],[2,4,8],[6,7]]=>13 [4,6,3,5,2,1,8,7]=>[6,4,3,5,2,8,1,7]=>[7,1,8,2,5,3,4,6]=>[[1,3,5,7,8],[2,4],[6]]=>13 [8,7,3,5,2,4,1,6]=>[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[[1,2,3,8],[4,5,7],[6]]=>20 [6,8,2,4,5,7,3,1]=>[2,6,4,8,5,7,3,1]=>[1,3,7,5,8,4,6,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [8,7,2,4,5,3,1,6]=>[4,5,2,3,1,8,7,6]=>[6,7,8,1,3,2,5,4]=>[[1,2,3],[4,5,7],[6,8]]=>19 [3,6,1,4,5,2,8,7]=>[6,3,1,4,5,8,2,7]=>[7,2,8,5,4,1,3,6]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [5,8,7,4,3,6,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[[1,2,3,5,6,7,8],[4]]=>23 [8,1,7,4,3,6,2,5]=>[4,8,7,1,3,2,6,5]=>[5,6,2,3,1,7,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>17 [2,1,6,8,5,7,4,3]=>[8,6,5,7,2,4,1,3]=>[3,1,4,2,7,5,6,8]=>[[1,3,5,7,8],[2,4,6]]=>13 [4,3,8,1,5,6,7,2]=>[8,4,3,1,5,6,7,2]=>[2,7,6,5,1,3,4,8]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [4,8,1,3,5,6,7,2]=>[1,4,3,8,5,6,7,2]=>[2,7,6,5,8,3,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [4,8,3,6,1,2,7,5]=>[4,1,6,3,8,7,2,5]=>[5,2,7,8,3,6,1,4]=>[[1,3,4],[2,5,6],[7,8]]=>15 [3,8,7,4,1,6,2,5]=>[3,4,1,8,7,6,2,5]=>[5,2,6,7,8,1,4,3]=>[[1,3,4,5],[2,7],[6,8]]=>17 [8,7,1,4,2,6,3,5]=>[4,1,8,2,3,7,6,5]=>[5,6,7,3,2,8,1,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [8,6,3,1,2,4,7,5]=>[1,3,2,4,6,8,7,5]=>[5,7,8,6,4,2,3,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [8,1,7,4,5,2,3,6]=>[8,1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [2,8,7,4,5,1,3,6]=>[2,8,4,1,7,5,3,6]=>[6,3,5,7,1,4,8,2]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [8,7,2,4,1,6,3,5]=>[4,8,2,1,3,7,6,5]=>[5,6,7,3,1,2,8,4]=>[[1,2,3,7],[4,6,8],[5]]=>18 [5,8,3,6,2,4,7,1]=>[3,5,2,8,6,4,7,1]=>[1,7,4,6,8,2,5,3]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [8,6,3,2,1,4,7,5]=>[3,2,1,4,6,8,7,5]=>[5,7,8,6,4,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [8,7,3,5,2,1,4,6]=>[5,3,2,1,4,8,7,6]=>[6,7,8,4,1,2,3,5]=>[[1,2,3,8],[4,6,7],[5]]=>19 [5,8,3,6,2,1,7,4]=>[8,5,3,2,1,6,7,4]=>[4,7,6,1,2,3,5,8]=>[[1,2,6,7,8],[3,5],[4]]=>17 [2,6,8,4,5,7,1,3]=>[4,8,6,5,7,2,1,3]=>[3,1,2,7,5,6,8,4]=>[[1,3,4,6,7],[2,5],[8]]=>16 [6,1,8,4,5,7,2,3]=>[4,8,6,5,1,2,7,3]=>[3,7,2,1,5,6,8,4]=>[[1,2,6,7],[3,5],[4,8]]=>16 [2,1,5,8,3,6,7,4]=>[5,2,8,6,7,1,3,4]=>[4,3,1,7,6,8,2,5]=>[[1,4,6],[2,5,8],[3,7]]=>9 [4,1,8,2,5,6,7,3]=>[8,1,4,2,5,6,7,3]=>[3,7,6,5,2,4,1,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [4,8,2,1,5,6,7,3]=>[8,4,2,1,5,6,7,3]=>[3,7,6,5,1,2,4,8]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [3,4,8,2,5,6,7,1]=>[3,4,2,8,5,6,7,1]=>[1,7,6,5,8,2,4,3]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [5,8,1,4,7,6,2,3]=>[8,1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1,8]=>[[1,2,5,8],[3,4,6],[7]]=>17 [5,8,3,1,6,2,7,4]=>[5,1,8,3,2,6,7,4]=>[4,7,6,2,3,8,1,5]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [4,5,3,8,6,1,7,2]=>[8,4,5,3,1,6,7,2]=>[2,7,6,1,3,5,4,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [3,4,1,8,5,6,7,2]=>[3,1,8,4,5,6,7,2]=>[2,7,6,5,4,8,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [2,4,6,8,10,1,3,5,7,9]=>[10,8,6,4,2,1,3,5,7,9]=>[9,7,5,3,1,2,4,6,8,10]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>15 [3,4,9,10,11,12,1,2,5,6,7,8]=>[9,3,1,10,4,2,11,5,12,6,7,8]=>[8,7,6,12,5,11,2,4,10,1,3,9]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>28 [5,6,7,8,11,12,1,2,3,4,9,10]=>[11,5,1,12,6,2,7,3,8,4,9,10]=>[10,9,4,8,3,7,2,6,12,1,5,11]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>28 [7,8,9,10,11,12,1,2,3,4,5,6]=>[7,1,8,2,9,3,10,4,11,5,12,6]=>[6,12,5,11,4,10,3,9,2,8,1,7]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>36 [3,5,7,2,6,4,8,1]=>[7,5,3,6,2,4,8,1]=>[1,8,4,2,6,3,5,7]=>[[1,2,5,7,8],[3,6],[4]]=>14 [2,5,7,3,6,4,8,1]=>[5,7,2,6,3,4,8,1]=>[1,8,4,3,6,2,7,5]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [1,5,7,3,6,8,4,2]=>[5,7,3,6,8,4,1,2]=>[2,1,4,8,6,3,7,5]=>[[1,3,4,7],[2,5,8],[6]]=>13 [8,4,3,7,6,1,5,2]=>[8,4,3,7,1,6,5,2]=>[2,5,6,1,7,3,4,8]=>[[1,2,3,5,8],[4,6,7]]=>20 [5,2,7,3,6,4,8,1]=>[5,7,2,3,6,4,8,1]=>[1,8,4,6,3,2,7,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [8,3,4,7,6,1,5,2]=>[3,8,4,7,1,6,5,2]=>[2,5,6,1,7,4,8,3]=>[[1,2,3,5,7],[4,6],[8]]=>19 [8,2,4,7,1,6,5,3]=>[8,2,4,7,6,1,5,3]=>[3,5,1,6,7,4,2,8]=>[[1,2,4,5,8],[3,6],[7]]=>17 [3,1,4,7,6,8,5,2]=>[7,6,8,1,3,4,5,2]=>[2,5,4,3,1,8,6,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [4,1,3,7,6,8,5,2]=>[7,4,6,8,1,3,5,2]=>[2,5,3,1,8,6,4,7]=>[[1,2,5,8],[3,6],[4,7]]=>12 [5,1,7,3,6,8,4,2]=>[5,7,1,6,8,3,4,2]=>[2,4,3,8,6,1,7,5]=>[[1,2,4,7],[3,5],[6,8]]=>14 [4,8,3,7,6,1,5,2]=>[8,4,3,7,6,1,5,2]=>[2,5,1,6,7,3,4,8]=>[[1,2,4,5,8],[3,6,7]]=>19 [3,8,4,7,6,1,5,2]=>[3,8,4,7,6,1,5,2]=>[2,5,1,6,7,4,8,3]=>[[1,2,4,5,7],[3,6],[8]]=>18 [2,8,4,7,1,6,5,3]=>[4,8,7,2,6,5,1,3]=>[3,1,5,6,2,7,8,4]=>[[1,3,4,6,7],[2,5,8]]=>16 [8,1,4,7,2,6,5,3]=>[8,1,7,4,6,2,5,3]=>[3,5,2,6,4,7,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>16 [2,8,3,1,7,6,5,4]=>[8,7,2,3,6,5,1,4]=>[4,1,5,6,3,2,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>14 [6,7,1,2,8,5,4,3]=>[6,7,8,1,2,5,4,3]=>[3,4,5,2,1,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>16 [8,2,3,1,7,6,5,4]=>[8,7,2,3,6,1,5,4]=>[4,5,1,6,3,2,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>15 [8,3,2,1,7,6,5,4]=>[8,3,7,2,6,1,5,4]=>[4,5,1,6,2,7,3,8]=>[[1,2,4,6,8],[3,5,7]]=>16 [3,4,1,7,6,8,5,2]=>[7,3,6,8,1,4,5,2]=>[2,5,4,1,8,6,3,7]=>[[1,2,5,8],[3,6],[4,7]]=>12 [1,4,2,7,8,6,5,3]=>[7,8,6,1,4,5,2,3]=>[3,2,5,4,1,6,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>11 [8,4,2,7,1,6,5,3]=>[8,2,4,7,1,6,5,3]=>[3,5,6,1,7,4,2,8]=>[[1,2,3,5,8],[4,6],[7]]=>18 [8,5,7,2,1,6,4,3]=>[2,8,1,5,7,6,4,3]=>[3,4,6,7,5,1,8,2]=>[[1,2,3,4,7],[5,8],[6]]=>20 [2,5,7,1,8,6,4,3]=>[5,7,8,2,6,4,1,3]=>[3,1,4,6,2,8,7,5]=>[[1,3,4,6],[2,5,7],[8]]=>14 [3,5,7,1,6,8,4,2]=>[5,7,3,6,8,1,4,2]=>[2,4,1,8,6,3,7,5]=>[[1,2,4,7],[3,5,8],[6]]=>14 [6,7,4,5,8,1,3,2]=>[6,4,1,7,5,8,3,2]=>[2,3,8,5,7,1,4,6]=>[[1,2,3,5],[4,7,8],[6]]=>20 [2,5,7,8,1,6,4,3]=>[7,5,8,2,6,4,1,3]=>[3,1,4,6,2,8,5,7]=>[[1,3,4,6],[2,5,7,8]]=>15 [1,5,7,8,2,6,4,3]=>[5,7,8,1,6,4,2,3]=>[3,2,4,6,1,8,7,5]=>[[1,3,4,6],[2,7],[5,8]]=>14 [8,4,1,7,2,6,5,3]=>[8,4,7,1,2,6,5,3]=>[3,5,6,2,1,7,4,8]=>[[1,2,3,6,8],[4,7],[5]]=>17 [1,4,8,7,2,6,5,3]=>[8,4,7,6,1,5,2,3]=>[3,2,5,1,6,7,4,8]=>[[1,3,5,6,8],[2,7],[4]]=>14 [4,3,8,7,6,1,5,2]=>[8,7,4,3,6,1,5,2]=>[2,5,1,6,3,4,7,8]=>[[1,2,4,7,8],[3,5,6]]=>18 [5,3,7,8,6,1,4,2]=>[7,3,5,8,1,6,4,2]=>[2,4,6,1,8,5,3,7]=>[[1,2,3,5],[4,6,8],[7]]=>18 [6,7,2,8,1,5,4,3]=>[6,2,7,8,1,5,4,3]=>[3,4,5,1,8,7,2,6]=>[[1,2,3,5],[4,6,8],[7]]=>18 [5,2,7,8,1,6,4,3]=>[7,5,8,2,6,1,4,3]=>[3,4,1,6,2,8,5,7]=>[[1,2,4,6],[3,5,7,8]]=>16 [4,2,8,7,1,6,5,3]=>[8,2,7,4,6,1,5,3]=>[3,5,1,6,4,7,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>16 [1,3,8,2,7,6,5,4]=>[8,7,3,6,5,1,2,4]=>[4,2,1,5,6,3,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>12 [8,3,1,2,7,6,5,4]=>[8,7,1,3,6,2,5,4]=>[4,5,2,6,3,1,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>15 [1,2,8,3,7,6,5,4]=>[8,7,6,1,5,2,3,4]=>[4,3,2,5,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>11 [4,8,1,7,2,6,5,3]=>[8,4,7,1,6,2,5,3]=>[3,5,2,6,1,7,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [2,8,1,3,7,6,5,4]=>[8,7,2,6,1,5,3,4]=>[4,3,5,1,6,2,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>13 [1,8,2,3,7,6,5,4]=>[8,7,6,1,2,5,3,4]=>[4,3,5,2,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>12 [8,1,2,3,7,6,5,4]=>[8,7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>13 [3,1,4,5,6,7,8,9,10,2]=>[1,3,4,5,6,7,8,9,10,2]=>[2,10,9,8,7,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>9 [6,7,1,8,4,5,2,3]=>[6,7,4,1,2,8,5,3]=>[3,5,8,2,1,4,7,6]=>[[1,2,3],[4,6,7],[5,8]]=>18 [3,7,1,5,8,2,6,4]=>[3,5,1,7,8,6,2,4]=>[4,2,6,8,7,1,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [2,7,1,5,8,3,6,4]=>[2,7,5,8,1,6,3,4]=>[4,3,6,1,8,5,7,2]=>[[1,3,5],[2,6,7],[4,8]]=>12 [2,6,5,1,8,3,7,4]=>[2,6,5,8,1,7,3,4]=>[4,3,7,1,8,5,6,2]=>[[1,3,5],[2,6,7],[4,8]]=>12 [3,6,5,1,8,2,7,4]=>[6,5,3,8,1,7,2,4]=>[4,2,7,1,8,3,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>13 [4,6,5,1,8,7,2,3]=>[4,6,8,1,5,2,7,3]=>[3,7,2,5,1,8,6,4]=>[[1,2,6],[3,4,7],[5,8]]=>15 [5,6,4,1,8,7,2,3]=>[1,5,6,8,4,2,7,3]=>[3,7,2,4,8,6,5,1]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [6,4,5,1,8,7,2,3]=>[1,4,6,8,5,2,7,3]=>[3,7,2,5,8,6,4,1]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [3,5,6,1,8,2,7,4]=>[5,6,3,8,1,7,2,4]=>[4,2,7,1,8,3,6,5]=>[[1,3,5],[2,6,7],[4,8]]=>12 [2,4,6,1,3,8,7,5]=>[6,4,8,2,7,1,3,5]=>[5,3,1,7,2,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>9 [3,4,6,1,2,8,7,5]=>[6,3,8,1,4,7,2,5]=>[5,2,7,4,1,8,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>10 [4,3,6,1,2,8,7,5]=>[4,1,6,8,3,7,2,5]=>[5,2,7,3,8,6,1,4]=>[[1,3,5],[2,4,6],[7,8]]=>11 [5,3,6,1,8,2,7,4]=>[3,1,5,6,8,2,7,4]=>[4,7,2,8,6,5,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [7,3,1,5,8,2,6,4]=>[3,7,1,5,8,2,6,4]=>[4,6,2,8,5,1,7,3]=>[[1,2,4],[3,5,7],[6,8]]=>14 [8,1,3,5,7,2,6,4]=>[3,5,8,7,1,2,6,4]=>[4,6,2,1,7,8,5,3]=>[[1,2,5,6],[3,7],[4,8]]=>14 [7,2,1,5,8,3,6,4]=>[2,7,5,8,1,3,6,4]=>[4,6,3,1,8,5,7,2]=>[[1,2,5],[3,6,7],[4,8]]=>13 [6,2,5,1,8,3,7,4]=>[2,6,5,8,1,3,7,4]=>[4,7,3,1,8,5,6,2]=>[[1,2,5],[3,6,7],[4,8]]=>13 [4,2,5,3,1,8,7,6]=>[2,4,5,8,3,7,1,6]=>[6,1,7,3,8,5,4,2]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [6,2,4,1,3,8,7,5]=>[4,2,8,1,3,6,7,5]=>[5,7,6,3,1,8,2,4]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [7,3,1,4,2,8,6,5]=>[1,3,4,7,8,2,6,5]=>[5,6,2,8,7,4,3,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [6,3,4,1,2,8,7,5]=>[3,1,4,8,2,6,7,5]=>[5,7,6,2,8,4,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [3,6,4,1,2,8,7,5]=>[3,1,6,8,4,7,2,5]=>[5,2,7,4,8,6,1,3]=>[[1,3,5],[2,4,6],[7,8]]=>11 [3,7,1,2,4,8,6,5]=>[1,3,7,8,2,6,4,5]=>[5,4,6,2,8,7,3,1]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [2,7,1,3,4,8,6,5]=>[2,7,8,1,3,6,4,5]=>[5,4,6,3,1,8,7,2]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [2,6,3,1,4,8,7,5]=>[2,3,8,1,6,7,4,5]=>[5,4,7,6,1,8,3,2]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [3,6,2,1,4,8,7,5]=>[3,2,8,1,6,7,4,5]=>[5,4,7,6,1,8,2,3]=>[[1,3,6],[2,4,8],[5,7]]=>10 [5,6,2,1,8,3,7,4]=>[2,1,5,6,8,3,7,4]=>[4,7,3,8,6,5,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [6,5,2,1,8,3,7,4]=>[2,6,1,5,8,3,7,4]=>[4,7,3,8,5,1,6,2]=>[[1,2,4],[3,5,7],[6,8]]=>14 [8,1,5,2,7,3,6,4]=>[1,8,2,5,7,3,6,4]=>[4,6,3,7,5,2,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [8,1,4,2,3,7,6,5]=>[8,1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [6,4,2,1,3,8,7,5]=>[2,1,4,8,3,6,7,5]=>[5,7,6,3,8,4,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [3,5,2,4,1,8,7,6]=>[5,3,8,2,4,7,1,6]=>[6,1,7,4,2,8,3,5]=>[[1,3,6,8],[2,4,7],[5]]=>10 [6,3,2,1,4,8,7,5]=>[3,2,8,1,4,6,7,5]=>[5,7,6,4,1,8,2,3]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [8,1,3,2,4,7,6,5]=>[8,3,7,1,2,4,6,5]=>[5,6,4,2,1,7,3,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [8,1,2,3,4,7,6,5]=>[8,7,1,2,3,4,6,5]=>[5,6,4,3,2,1,7,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>10 [6,2,3,1,4,8,7,5]=>[2,3,8,1,4,6,7,5]=>[5,7,6,4,1,8,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [2,4,3,6,1,5,8,7]=>[4,6,2,3,8,1,5,7]=>[7,5,1,8,3,2,6,4]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [2,4,3,6,5,8,1,7]=>[4,6,8,2,3,5,1,7]=>[7,1,5,3,2,8,6,4]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [2,4,6,3,5,8,7,1]=>[6,4,8,2,3,5,7,1]=>[1,7,5,3,2,8,4,6]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [2,4,6,3,5,1,8,7]=>[6,4,2,3,5,8,1,7]=>[7,1,8,5,3,2,4,6]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [4,2,6,5,3,1,8,7]=>[6,2,4,5,3,8,1,7]=>[7,1,8,3,5,4,2,6]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [4,2,6,5,1,3,8,7]=>[6,2,4,1,5,8,3,7]=>[7,3,8,5,1,4,2,6]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [4,2,6,5,8,1,3,7]=>[6,8,2,4,1,5,3,7]=>[7,3,5,1,4,2,8,6]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [4,2,6,5,8,3,1,7]=>[6,8,2,4,5,3,1,7]=>[7,1,3,5,4,2,8,6]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [2,4,6,1,5,8,3,7]=>[6,4,8,2,5,1,3,7]=>[7,3,1,5,2,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>9 [2,4,1,6,5,8,3,7]=>[4,6,8,2,5,1,3,7]=>[7,3,1,5,2,8,6,4]=>[[1,4,6],[2,5,7],[3,8]]=>8 [2,1,4,6,5,8,3,7]=>[6,8,2,4,5,1,3,7]=>[7,3,1,5,4,2,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [2,4,6,1,5,8,7,3]=>[6,4,8,2,5,7,1,3]=>[3,1,7,5,2,8,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>10 [4,2,6,5,3,8,7,1]=>[6,2,4,5,8,3,7,1]=>[1,7,3,8,5,4,2,6]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [2,6,4,3,8,7,5,1]=>[6,8,2,4,7,3,5,1]=>[1,5,3,7,4,2,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>14 [4,2,6,8,5,3,7,1]=>[8,6,2,4,5,3,7,1]=>[1,7,3,5,4,2,6,8]=>[[1,2,4,7,8],[3],[5],[6]]=>15 [2,4,6,8,1,5,7,3]=>[8,6,4,2,5,7,1,3]=>[3,1,7,5,2,4,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>12 [2,4,6,1,8,5,7,3]=>[6,8,4,2,5,7,1,3]=>[3,1,7,5,2,4,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>11 [2,1,4,6,8,5,7,3]=>[8,6,2,4,5,7,1,3]=>[3,1,7,5,4,2,6,8]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [2,1,4,6,8,5,3,7]=>[8,6,2,4,5,1,3,7]=>[7,3,1,5,4,2,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [2,4,1,6,8,5,3,7]=>[8,4,6,2,5,1,3,7]=>[7,3,1,5,2,6,4,8]=>[[1,4,6,8],[2,5,7],[3]]=>9 [2,4,6,1,8,5,3,7]=>[6,8,4,2,5,1,3,7]=>[7,3,1,5,2,4,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>10 [2,4,6,8,1,5,3,7]=>[8,6,4,2,5,1,3,7]=>[7,3,1,5,2,4,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>11 [4,2,6,8,5,1,3,7]=>[8,6,2,4,1,5,3,7]=>[7,3,5,1,4,2,6,8]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [2,4,6,8,3,5,7,1]=>[8,6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6,8]=>[[1,2,6,7,8],[3],[4],[5]]=>13 [2,4,6,8,3,5,1,7]=>[8,6,4,2,3,5,1,7]=>[7,1,5,3,2,4,6,8]=>[[1,3,6,7,8],[2],[4],[5]]=>12 [2,4,6,8,3,1,5,7]=>[8,6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6,8]=>[[1,4,6,7,8],[2],[3],[5]]=>11 [2,4,6,3,8,5,1,7]=>[6,8,4,2,3,5,1,7]=>[7,1,5,3,2,4,8,6]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [2,4,6,3,8,5,7,1]=>[6,8,4,2,3,5,7,1]=>[1,7,5,3,2,4,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [2,4,3,6,8,5,7,1]=>[8,4,6,2,3,5,7,1]=>[1,7,5,3,2,6,4,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [2,4,3,6,8,1,5,7]=>[8,4,6,2,3,1,5,7]=>[7,5,1,3,2,6,4,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [2,4,3,6,1,8,5,7]=>[4,6,8,2,3,1,5,7]=>[7,5,1,3,2,8,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [2,4,3,1,6,8,5,7]=>[4,8,2,3,6,1,5,7]=>[7,5,1,6,3,2,8,4]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [4,6,5,2,8,7,1,3]=>[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[[1,2,6,8],[3,4,7],[5]]=>16 [4,6,2,5,8,7,1,3]=>[4,6,8,2,5,1,7,3]=>[3,7,1,5,2,8,6,4]=>[[1,2,6],[3,4,7],[5,8]]=>15 [2,4,6,3,1,8,7,5]=>[6,4,8,2,3,7,1,5]=>[5,1,7,3,2,8,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>10 [2,4,6,8,1,3,7,5]=>[8,6,4,2,7,1,3,5]=>[5,3,1,7,2,4,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>11 [2,4,6,8,3,1,7,5]=>[8,6,4,2,3,7,1,5]=>[5,1,7,3,2,4,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>12 [4,6,2,8,5,7,3,1]=>[8,4,6,2,5,7,3,1]=>[1,3,7,5,2,6,4,8]=>[[1,2,3,6,8],[4,7],[5]]=>17 [4,6,2,8,5,7,1,3]=>[8,4,6,2,5,1,7,3]=>[3,7,1,5,2,6,4,8]=>[[1,2,6,8],[3,4,7],[5]]=>16 [6,2,4,8,7,1,3,5]=>[8,4,6,2,1,3,7,5]=>[5,7,3,1,2,6,4,8]=>[[1,2,6,8],[3,5],[4,7]]=>15 [6,4,2,8,7,5,3,1]=>[8,2,4,6,7,5,3,1]=>[1,3,5,7,6,4,2,8]=>[[1,2,3,4,8],[5],[6],[7]]=>19 [2,6,4,8,1,7,5,3]=>[4,6,8,2,7,5,1,3]=>[3,1,5,7,2,8,6,4]=>[[1,3,4,6],[2,5,7],[8]]=>14 [2,6,4,1,8,7,5,3]=>[4,8,2,6,7,5,1,3]=>[3,1,5,7,6,2,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>13 [2,1,6,4,8,7,3,5]=>[8,2,6,7,4,1,3,5]=>[5,3,1,4,7,6,2,8]=>[[1,4,5,8],[2,6],[3,7]]=>10 [2,6,4,1,8,7,3,5]=>[6,8,2,4,1,7,3,5]=>[5,3,7,1,4,2,8,6]=>[[1,3,7],[2,5,8],[4,6]]=>12 [2,6,4,8,1,7,3,5]=>[8,6,2,4,1,7,3,5]=>[5,3,7,1,4,2,6,8]=>[[1,3,7,8],[2,5],[4,6]]=>13 [6,2,4,8,7,3,5,1]=>[8,4,6,2,3,7,5,1]=>[1,5,7,3,2,6,4,8]=>[[1,2,3,8],[4,6],[5,7]]=>17 [6,2,4,8,7,3,1,5]=>[8,4,6,2,3,1,7,5]=>[5,7,1,3,2,6,4,8]=>[[1,2,6,8],[3,4],[5,7]]=>16 [7,1,6,3,8,2,4,5]=>[7,6,1,3,2,4,8,5]=>[5,8,4,2,3,1,6,7]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [5,1,4,7,3,8,2,6]=>[5,7,4,8,1,3,2,6]=>[6,2,3,1,8,4,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>12 [4,3,1,7,5,8,2,6]=>[4,3,7,8,1,5,2,6]=>[6,2,5,1,8,7,3,4]=>[[1,3,5],[2,6,8],[4,7]]=>11 [2,8,6,3,7,1,4,5]=>[6,2,3,1,8,7,4,5]=>[5,4,7,8,1,3,2,6]=>[[1,3,4],[2,6,8],[5],[7]]=>15 [6,8,1,3,7,2,4,5]=>[6,3,1,2,8,4,7,5]=>[5,7,4,8,2,1,3,6]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [5,8,2,1,7,3,4,6]=>[5,2,1,3,8,7,4,6]=>[6,4,7,8,3,1,2,5]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [5,7,2,1,8,3,4,6]=>[7,2,1,5,3,8,4,6]=>[6,4,8,3,5,1,2,7]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [6,7,1,3,8,2,4,5]=>[3,6,1,2,7,4,8,5]=>[5,8,4,7,2,1,6,3]=>[[1,2],[3,4],[5,7],[6,8]]=>14 [2,6,1,4,5,8,3,7]=>[2,4,6,8,5,1,3,7]=>[7,3,1,5,8,6,4,2]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [6,5,1,3,4,8,2,7]=>[1,6,3,5,8,4,2,7]=>[7,2,4,8,5,3,6,1]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [8,5,1,3,7,2,4,6]=>[5,3,1,2,8,4,7,6]=>[6,7,4,8,2,1,3,5]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [1,5,3,2,8,4,6,7]=>[1,5,8,3,2,4,6,7]=>[7,6,4,2,3,8,5,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [2,5,3,4,1,8,6,7]=>[2,5,8,3,4,1,6,7]=>[7,6,1,4,3,8,5,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [1,6,4,8,7,2,3,5]=>[8,6,1,7,2,4,3,5]=>[5,3,4,2,7,1,6,8]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [2,7,8,3,6,1,4,5]=>[7,2,3,1,8,6,4,5]=>[5,4,6,8,1,3,2,7]=>[[1,3,4],[2,6,8],[5],[7]]=>15 [4,7,2,5,1,3,8,6]=>[2,4,1,7,5,8,3,6]=>[6,3,8,5,7,1,4,2]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [3,8,2,1,5,4,7,6]=>[3,8,2,1,5,7,4,6]=>[6,4,7,5,1,2,8,3]=>[[1,3,7],[2,4,8],[5,6]]=>11 [8,3,2,1,6,4,5,7]=>[3,6,2,1,4,5,8,7]=>[7,8,5,4,1,2,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [8,3,2,1,5,6,4,7]=>[3,2,5,6,1,4,8,7]=>[7,8,4,1,6,5,2,3]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [8,3,2,1,4,6,5,7]=>[3,2,6,1,4,5,8,7]=>[7,8,5,4,1,6,2,3]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [3,8,2,1,4,5,7,6]=>[3,2,8,1,4,7,5,6]=>[6,5,7,4,1,8,2,3]=>[[1,3,6],[2,7,8],[4],[5]]=>10 [3,7,2,1,4,5,8,6]=>[3,2,1,4,7,8,5,6]=>[6,5,8,7,4,1,2,3]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [3,2,7,1,4,6,8,5]=>[3,2,7,6,8,1,4,5]=>[5,4,1,8,6,7,2,3]=>[[1,4,6],[2,5,8],[3,7]]=>9 [3,2,8,1,4,6,7,5]=>[3,2,6,8,7,1,4,5]=>[5,4,1,7,8,6,2,3]=>[[1,4,5],[2,6,8],[3,7]]=>10 [3,2,8,1,4,7,6,5]=>[3,8,2,7,6,1,4,5]=>[5,4,1,6,7,2,8,3]=>[[1,4,5,7],[2,6,8],[3]]=>11 [4,8,2,5,1,7,3,6]=>[2,4,5,1,8,7,3,6]=>[6,3,7,8,1,5,4,2]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [3,7,2,1,5,8,4,6]=>[3,2,7,8,1,5,4,6]=>[6,4,5,1,8,7,2,3]=>[[1,3,5],[2,6,8],[4,7]]=>11 [3,2,7,1,6,8,4,5]=>[3,7,6,8,2,1,4,5]=>[5,4,1,2,8,6,7,3]=>[[1,4,5,7],[2,6],[3,8]]=>11 [4,2,7,6,1,8,3,5]=>[7,4,2,6,1,8,3,5]=>[5,3,8,1,6,2,4,7]=>[[1,3,7,8],[2,5],[4,6]]=>13 [4,3,8,6,7,1,2,5]=>[4,8,6,1,7,3,2,5]=>[5,2,3,7,1,6,8,4]=>[[1,3,4,7],[2,6],[5,8]]=>16 [4,2,8,6,1,7,3,5]=>[4,2,8,6,1,7,3,5]=>[5,3,7,1,6,8,2,4]=>[[1,3,6],[2,5,8],[4,7]]=>14 [3,2,1,8,7,5,6,4]=>[8,7,3,2,5,6,1,4]=>[4,1,6,5,2,3,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>12 [3,2,8,1,7,4,6,5]=>[8,3,2,7,6,1,4,5]=>[5,4,1,6,7,2,3,8]=>[[1,4,5,8],[2,6,7],[3]]=>12 [4,2,7,6,1,3,8,5]=>[7,4,2,1,6,8,3,5]=>[5,3,8,6,1,2,4,7]=>[[1,3,7,8],[2,4],[5,6]]=>12 [4,2,8,6,1,3,7,5]=>[4,2,1,8,6,7,3,5]=>[5,3,7,6,8,1,2,4]=>[[1,3,5],[2,4,8],[6,7]]=>13 [4,2,8,7,1,3,6,5]=>[4,2,8,7,1,6,3,5]=>[5,3,6,1,7,8,2,4]=>[[1,3,5,6],[2,7,8],[4]]=>14 [5,7,8,3,4,1,2,6]=>[7,3,1,8,5,4,2,6]=>[6,2,4,5,8,1,3,7]=>[[1,3,4,5],[2,7,8],[6]]=>18 [4,2,7,8,1,3,6,5]=>[7,4,2,8,1,6,3,5]=>[5,3,6,1,8,2,4,7]=>[[1,3,5,8],[2,6,7],[4]]=>13 [4,2,6,8,1,3,7,5]=>[4,6,2,8,1,7,3,5]=>[5,3,7,1,8,2,6,4]=>[[1,3,5],[2,6,7],[4,8]]=>12 [4,2,6,7,1,3,8,5]=>[4,6,2,1,7,8,3,5]=>[5,3,8,7,1,2,6,4]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [3,7,2,1,8,5,4,6]=>[3,7,2,8,1,5,4,6]=>[6,4,5,1,8,2,7,3]=>[[1,3,5],[2,6,7],[4,8]]=>12 [4,3,7,8,6,1,2,5]=>[7,8,4,1,6,3,2,5]=>[5,2,3,6,1,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>16 [3,2,1,6,8,5,7,4]=>[8,3,6,2,5,7,1,4]=>[4,1,7,5,2,6,3,8]=>[[1,3,6,8],[2,4,7],[5]]=>10 [3,2,6,1,8,7,4,5]=>[6,8,3,7,2,1,4,5]=>[5,4,1,2,7,3,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>11 [3,2,6,1,7,8,4,5]=>[6,3,7,8,2,1,4,5]=>[5,4,1,2,8,7,3,6]=>[[1,4,5,8],[2,6],[3,7]]=>10 [3,4,6,8,7,5,1,2]=>[8,6,7,3,4,1,5,2]=>[2,5,1,4,3,7,6,8]=>[[1,2,6,8],[3,4,7],[5]]=>16 [1,4,6,2,7,8,5,3]=>[4,6,7,8,1,5,2,3]=>[3,2,5,1,8,7,6,4]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [3,1,8,5,4,2,6,7]=>[8,1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>10 [7,3,8,5,4,6,1,2]=>[7,5,3,4,1,8,6,2]=>[2,6,8,1,4,3,5,7]=>[[1,2,3,8],[4,5,7],[6]]=>20 [4,5,6,3,8,7,1,2]=>[4,5,6,8,3,1,7,2]=>[2,7,1,3,8,6,5,4]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [7,6,3,5,4,8,1,2]=>[7,3,6,5,4,1,8,2]=>[2,8,1,4,5,6,3,7]=>[[1,2,5,6,8],[3,4],[7]]=>20 [1,8,2,5,7,3,6,4]=>[1,8,5,7,2,6,3,4]=>[4,3,6,2,7,5,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [6,2,1,5,4,8,7,3]=>[6,2,5,8,1,4,7,3]=>[3,7,4,1,8,5,2,6]=>[[1,2,5,8],[3,6],[4,7]]=>12 [7,8,1,2,4,6,5,3]=>[1,7,8,2,4,6,5,3]=>[3,5,6,4,2,8,7,1]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [7,8,3,1,4,2,6,5]=>[1,3,4,2,7,8,6,5]=>[5,6,8,7,2,4,3,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [4,3,6,1,8,2,7,5]=>[4,6,3,8,1,7,2,5]=>[5,2,7,1,8,3,6,4]=>[[1,3,5],[2,6,7],[4,8]]=>12 [2,3,8,5,4,1,6,7]=>[8,2,3,5,4,1,6,7]=>[7,6,1,4,5,3,2,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>10 [4,8,1,5,2,3,7,6]=>[4,1,2,5,8,7,3,6]=>[6,3,7,8,5,2,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [7,5,1,6,4,3,2,8]=>[5,7,6,1,4,3,2,8]=>[8,2,3,4,1,6,7,5]=>[[1,3,4,6,7],[2,8],[5]]=>16 [5,8,1,6,4,3,2,7]=>[5,8,6,1,4,3,2,7]=>[7,2,3,4,1,6,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>16 [3,4,6,1,5,8,2,7]=>[3,4,6,8,1,5,2,7]=>[7,2,5,1,8,6,4,3]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [7,8,4,1,5,3,2,6]=>[1,7,4,5,3,2,8,6]=>[6,8,2,3,5,4,7,1]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [1,6,8,7,4,3,2,5]=>[8,1,6,7,4,3,2,5]=>[5,2,3,4,7,6,1,8]=>[[1,3,4,5,8],[2,6],[7]]=>16 [5,1,7,6,4,3,2,8]=>[7,5,6,4,1,3,2,8]=>[8,2,3,1,4,6,5,7]=>[[1,3,5,6,8],[2,7],[4]]=>14 [1,8,7,6,4,3,2,5]=>[8,7,1,6,4,3,2,5]=>[5,2,3,4,6,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>18 [2,1,7,5,6,3,8,4]=>[5,7,6,2,8,1,3,4]=>[4,3,1,8,2,6,7,5]=>[[1,4,6,7],[2,5],[3,8]]=>10 [3,1,6,7,5,8,2,4]=>[6,7,3,5,1,8,2,4]=>[4,2,8,1,5,3,7,6]=>[[1,3,7],[2,5,8],[4,6]]=>12 [2,8,1,5,4,6,7,3]=>[5,2,4,6,8,7,1,3]=>[3,1,7,8,6,4,2,5]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [6,1,2,5,7,3,8,4]=>[6,5,1,2,3,7,8,4]=>[4,8,7,3,2,1,5,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [5,1,6,3,7,8,2,4]=>[5,3,6,7,1,2,8,4]=>[4,8,2,1,7,6,3,5]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [2,4,6,3,7,1,8,5]=>[6,4,7,2,3,8,1,5]=>[5,1,8,3,2,7,4,6]=>[[1,3,6,8],[2,4],[5,7]]=>10 [1,3,6,4,8,7,2,5]=>[8,3,6,7,4,1,2,5]=>[5,2,1,4,7,6,3,8]=>[[1,4,5,8],[2,6],[3,7]]=>10 [4,1,6,7,3,8,2,5]=>[4,1,6,7,8,3,2,5]=>[5,2,3,8,7,6,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [5,4,6,1,3,7,2,8]=>[1,5,4,6,3,7,2,8]=>[8,2,7,3,6,4,5,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [6,4,1,5,2,3,7,8]=>[4,1,2,6,5,3,7,8]=>[8,7,3,5,6,2,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [4,1,7,5,2,3,8,6]=>[4,1,7,2,5,8,3,6]=>[6,3,8,5,2,7,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [7,2,3,5,4,1,8,6]=>[5,2,3,4,1,7,8,6]=>[6,8,7,1,4,3,2,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [2,8,3,5,4,1,7,6]=>[5,2,3,4,8,7,1,6]=>[6,1,7,8,4,3,2,5]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [4,2,6,3,8,1,7,5]=>[4,6,2,8,3,7,1,5]=>[5,1,7,3,8,2,6,4]=>[[1,3,5],[2,4,7],[6,8]]=>12 [7,8,2,3,4,1,6,5]=>[2,3,4,1,7,8,6,5]=>[5,6,8,7,1,4,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [1,8,5,7,4,3,2,6]=>[8,7,5,4,1,3,2,6]=>[6,2,3,1,4,5,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>16 [6,5,1,8,4,3,2,7]=>[6,1,5,8,4,3,2,7]=>[7,2,3,4,8,5,1,6]=>[[1,3,4,5,8],[2,6],[7]]=>16 [7,5,8,1,4,3,2,6]=>[5,7,1,4,3,2,8,6]=>[6,8,2,3,4,1,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>18 [5,8,7,1,4,3,2,6]=>[8,7,1,5,4,3,2,6]=>[6,2,3,4,5,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>18 [3,5,6,4,1,8,2,7]=>[5,6,3,4,1,8,2,7]=>[7,2,8,1,4,3,6,5]=>[[1,3,7],[2,5,8],[4,6]]=>12 [2,6,4,5,1,3,8,7]=>[4,6,5,2,8,1,3,7]=>[7,3,1,8,2,5,6,4]=>[[1,4,6,7],[2,5],[3,8]]=>10 [1,6,5,8,4,3,2,7]=>[6,8,5,4,3,1,2,7]=>[7,2,1,3,4,5,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>14 [6,8,5,1,4,3,2,7]=>[8,6,1,5,4,3,2,7]=>[7,2,3,4,5,1,6,8]=>[[1,3,4,5,7,8],[2],[6]]=>18 [7,6,5,1,4,3,2,8]=>[7,6,1,5,4,3,2,8]=>[8,2,3,4,5,1,6,7]=>[[1,3,4,5,7,8],[2],[6]]=>18 [1,2,3,6,4,7,8,9,5]=>[1,6,7,8,9,2,3,4,5]=>[5,4,3,2,9,8,7,6,1]=>[[1,5],[2,6],[3,7],[4,8],[9]]=>5 [1,4,2,5,6,7,8,9,3]=>[1,4,5,6,7,8,9,2,3]=>[3,2,9,8,7,6,5,4,1]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>7 [9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,9,8,7]=>[7,8,9,6,5,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>15 [9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,9,8,7,6]=>[6,7,8,9,5,4,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>21 [9,8,7,6,1,2,3,4,5]=>[1,2,3,4,9,8,7,6,5]=>[5,6,7,8,9,4,3,2,1]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>26 [9,8,7,6,5,1,2,3,4]=>[1,2,3,9,8,7,6,5,4]=>[4,5,6,7,8,9,3,2,1]=>[[1,2,3,4,5,6],[7],[8],[9]]=>30 [9,8,7,6,4,5,1,2,3]=>[1,4,2,9,8,7,6,5,3]=>[3,5,6,7,8,9,2,4,1]=>[[1,2,3,4,5,6],[7,8],[9]]=>32 [9,8,7,6,5,4,1,2,3]=>[1,2,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,2,1]=>[[1,2,3,4,5,6,7],[8],[9]]=>33 [9,8,7,5,6,3,4,1,2]=>[5,3,1,9,8,7,6,4,2]=>[2,4,6,7,8,9,1,3,5]=>[[1,2,3,4,5,6],[7,8,9]]=>33 [9,8,7,6,5,3,4,1,2]=>[3,1,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,1,3]=>[[1,2,3,4,5,6,7],[8,9]]=>34 [9,8,7,6,5,4,3,1,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[[1,2,3,4,5,6,7,8],[9]]=>35 [10,9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,10,9,8,7]=>[7,8,9,10,6,5,4,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>24 [10,9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,10,9,8,7,6]=>[6,7,8,9,10,5,4,3,2,1]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>30 [10,9,8,7,6,1,2,3,4,5]=>[1,2,3,4,10,9,8,7,6,5]=>[5,6,7,8,9,10,4,3,2,1]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>35 [10,9,8,7,6,5,1,2,3,4]=>[1,2,3,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,3,2,1]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>39 [10,9,8,7,6,5,4,1,2,3]=>[1,2,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,2,1]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>42 [9,10,7,8,5,6,3,4,1,2]=>[9,7,5,3,1,10,8,6,4,2]=>[2,4,6,8,10,1,3,5,7,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>40 [10,9,8,7,6,5,3,4,1,2]=>[3,1,10,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,10,1,3]=>[[1,2,3,4,5,6,7,8],[9,10]]=>43 [10,9,8,7,6,5,4,3,1,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[[1,2,3,4,5,6,7,8,9],[10]]=>44 [3,4,6,2,7,1,5,8]=>[6,3,4,7,2,1,5,8]=>[8,5,1,2,7,4,3,6]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [3,6,2,5,4,1,7,8]=>[3,6,5,2,4,1,7,8]=>[8,7,1,4,2,5,6,3]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [3,2,7,5,4,1,6,8]=>[3,7,5,2,4,1,6,8]=>[8,6,1,4,2,5,7,3]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [4,3,6,2,8,1,5,7]=>[4,6,8,3,2,1,5,7]=>[7,5,1,2,3,8,6,4]=>[[1,4,5,6],[2,7],[3,8]]=>12 [6,1,2,5,4,7,8,3]=>[6,5,1,2,4,7,8,3]=>[3,8,7,4,2,1,5,6]=>[[1,2,7,8],[3],[4],[5],[6]]=>10 [6,2,4,5,1,3,7,8]=>[2,6,4,1,5,3,7,8]=>[8,7,3,5,1,4,6,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [5,3,6,4,1,7,2,8]=>[3,5,1,6,4,7,2,8]=>[8,2,7,4,6,1,5,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [6,2,1,5,8,3,7,4]=>[6,2,5,8,1,3,7,4]=>[4,7,3,1,8,5,2,6]=>[[1,2,5],[3,6,8],[4,7]]=>12 [1,6,7,4,8,3,5,2]=>[6,4,7,3,8,5,1,2]=>[2,1,5,8,3,7,4,6]=>[[1,3,4,8],[2,5,6],[7]]=>15 [1,4,6,3,7,5,8,2]=>[6,4,7,3,5,8,1,2]=>[2,1,8,5,3,7,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>10 [4,6,7,2,5,8,1,3]=>[6,4,7,2,5,1,8,3]=>[3,8,1,5,2,7,4,6]=>[[1,2,6,8],[3,4,7],[5]]=>16 [2,4,6,1,7,5,3,8]=>[6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>9 [2,7,5,4,1,6,3,8]=>[5,4,2,7,6,1,3,8]=>[8,3,1,6,7,2,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>12 [7,5,4,6,2,8,1,3]=>[5,4,2,7,6,1,8,3]=>[3,8,1,6,7,2,4,5]=>[[1,2,5,8],[3,4,7],[6]]=>19 [1,7,5,4,3,8,6,2]=>[5,4,3,7,8,6,1,2]=>[2,1,6,8,7,3,4,5]=>[[1,3,4,8],[2,5,7],[6]]=>14 [1,4,6,3,5,8,7,2]=>[6,4,8,3,5,7,1,2]=>[2,1,7,5,3,8,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>10 [1,5,8,4,3,6,7,2]=>[5,4,3,8,6,7,1,2]=>[2,1,7,6,8,3,4,5]=>[[1,3,5,8],[2,4,7],[6]]=>13 [5,4,6,2,7,8,1,3]=>[5,4,2,6,7,1,8,3]=>[3,8,1,7,6,2,4,5]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [2,5,4,1,6,7,3,8]=>[5,4,2,6,7,1,3,8]=>[8,3,1,7,6,2,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [5,6,3,2,7,1,4,8]=>[5,3,2,6,1,7,4,8]=>[8,4,7,1,6,2,3,5]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [5,6,3,2,7,1,8,4]=>[5,3,2,6,1,7,8,4]=>[4,8,7,1,6,2,3,5]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [8,5,6,3,2,7,1,4]=>[5,3,2,6,1,8,7,4]=>[4,7,8,1,6,2,3,5]=>[[1,2,3,8],[4,5,7],[6]]=>20 [2,4,1,7,8,5,3,6]=>[7,8,4,2,5,1,3,6]=>[6,3,1,5,2,4,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>10 [2,5,4,1,6,3,8,7]=>[5,4,2,6,8,1,3,7]=>[7,3,1,8,6,2,4,5]=>[[1,4,7,8],[2,5],[3,6]]=>8 [5,6,3,2,1,8,4,7]=>[5,3,2,6,1,8,4,7]=>[7,4,8,1,6,2,3,5]=>[[1,3,7,8],[2,5],[4,6]]=>13 [3,5,2,1,6,4,7,8]=>[5,3,2,6,1,4,7,8]=>[8,7,4,1,6,2,3,5]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [6,8,4,3,2,1,5,7]=>[4,3,2,1,8,6,5,7]=>[7,5,6,8,1,2,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>17 [5,3,8,2,1,6,4,7]=>[5,3,2,8,1,6,4,7]=>[7,4,6,1,8,2,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>13 [3,7,5,8,2,1,4,6]=>[7,8,3,2,1,5,4,6]=>[6,4,5,1,2,3,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>15 [7,3,2,8,5,1,6,4]=>[7,8,3,2,1,5,6,4]=>[4,6,5,1,2,3,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>16 [8,4,6,3,2,1,7,5]=>[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[[1,2,4,8],[3,6,7],[5]]=>18 [8,6,4,3,2,1,7,5]=>[4,3,2,1,6,8,7,5]=>[5,7,8,6,1,2,3,4]=>[[1,2,3,8],[4,6,7],[5]]=>19 [7,6,4,3,2,1,8,5]=>[4,3,2,1,7,6,8,5]=>[5,8,6,7,1,2,3,4]=>[[1,2,4,8],[3,6,7],[5]]=>18 [7,8,4,3,2,1,6,5]=>[4,3,2,1,7,8,6,5]=>[5,6,8,7,1,2,3,4]=>[[1,2,3,8],[4,6,7],[5]]=>19 [5,4,7,2,1,8,6,3]=>[5,4,2,7,8,1,6,3]=>[3,6,1,8,7,2,4,5]=>[[1,2,4,8],[3,5,7],[6]]=>15 [7,5,8,3,2,6,1,4]=>[5,3,2,7,1,8,6,4]=>[4,6,8,1,7,2,3,5]=>[[1,2,3,8],[4,5,7],[6]]=>20 [5,7,3,2,1,6,4,8]=>[5,3,2,7,1,6,4,8]=>[8,4,6,1,7,2,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>13 [6,3,7,2,5,1,8,4]=>[6,3,7,2,1,5,8,4]=>[4,8,5,1,2,7,3,6]=>[[1,2,6,8],[3,5,7],[4]]=>15 [6,7,8,3,5,2,1,4]=>[6,3,7,2,1,8,5,4]=>[4,5,8,1,2,7,3,6]=>[[1,2,3,8],[4,5,6],[7]]=>21 [6,2,5,7,8,4,1,3]=>[6,5,7,8,2,1,4,3]=>[3,4,1,2,8,7,5,6]=>[[1,2,5,8],[3,4,6],[7]]=>17 [2,1,5,7,8,6,3,4]=>[7,8,5,6,2,1,3,4]=>[4,3,1,2,6,5,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>11 [3,6,7,2,8,1,4,5]=>[6,3,7,2,1,8,4,5]=>[5,4,8,1,2,7,3,6]=>[[1,3,6,8],[2,5],[4,7]]=>14 [6,3,7,2,8,1,4,5]=>[6,3,7,2,1,4,8,5]=>[5,8,4,1,2,7,3,6]=>[[1,2,6,8],[3,5],[4,7]]=>15 [3,2,6,1,7,4,5,8]=>[6,3,7,2,1,4,5,8]=>[8,5,4,1,2,7,3,6]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [3,5,2,1,4,7,6,8]=>[5,3,2,7,1,4,6,8]=>[8,6,4,1,7,2,3,5]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [7,3,5,2,1,8,4,6]=>[5,3,2,7,1,4,8,6]=>[6,8,4,1,7,2,3,5]=>[[1,2,7,8],[3,5],[4,6]]=>14 [2,5,4,1,3,7,8,6]=>[5,4,2,7,8,1,3,6]=>[6,3,1,8,7,2,4,5]=>[[1,4,7,8],[2,5],[3,6]]=>8 [2,5,8,4,1,3,7,6]=>[5,4,2,8,7,1,3,6]=>[6,3,1,7,8,2,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>12 [2,4,1,7,8,3,6,5]=>[7,8,4,2,6,1,3,5]=>[5,3,1,6,2,4,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>10 [3,7,2,8,6,1,4,5]=>[7,8,3,2,1,6,4,5]=>[5,4,6,1,2,3,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>15 [3,6,8,2,1,7,4,5]=>[6,3,8,2,1,7,4,5]=>[5,4,7,1,2,8,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>14 [5,3,8,2,1,4,7,6]=>[5,3,2,8,1,7,4,6]=>[6,4,7,1,8,2,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>13 [4,8,7,3,2,1,5,6]=>[4,3,2,1,8,7,5,6]=>[6,5,7,8,1,2,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>17 [4,7,3,2,1,5,6,8]=>[4,3,2,1,7,5,6,8]=>[8,6,5,7,1,2,3,4]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [8,4,7,3,2,1,5,6]=>[4,3,2,1,8,5,7,6]=>[6,7,5,8,1,2,3,4]=>[[1,2,4,8],[3,6,7],[5]]=>18 [8,3,5,2,1,4,7,6]=>[5,3,2,8,1,4,7,6]=>[6,7,4,1,8,2,3,5]=>[[1,2,5,8],[3,6,7],[4]]=>14 [7,3,2,8,6,1,4,5]=>[7,8,3,2,1,4,6,5]=>[5,6,4,1,2,3,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>16 [3,5,2,1,4,6,8,7]=>[5,3,2,8,1,4,6,7]=>[7,6,4,1,8,2,3,5]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [8,6,3,7,5,2,4,1]=>[3,8,6,2,7,5,4,1]=>[1,4,5,7,2,6,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>23 [5,7,1,6,2,8,3,4]=>[5,7,1,2,6,3,8,4]=>[4,8,3,6,2,1,7,5]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [2,7,6,5,1,8,3,4]=>[2,7,6,5,1,8,3,4]=>[4,3,8,1,5,6,7,2]=>[[1,3,6,7],[2,5],[4,8]]=>15 [2,7,6,5,1,8,4,3]=>[2,7,6,5,8,4,1,3]=>[3,1,4,8,5,6,7,2]=>[[1,3,4,6,7],[2,5],[8]]=>16 [2,3,6,5,1,4,8,7]=>[6,5,2,3,8,1,4,7]=>[7,4,1,8,3,2,5,6]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [2,3,6,1,5,4,8,7]=>[2,6,3,5,8,1,4,7]=>[7,4,1,8,5,3,6,2]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [2,7,6,1,4,8,5,3]=>[2,4,7,6,8,5,1,3]=>[3,1,5,8,6,7,4,2]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [7,3,5,1,8,6,4,2]=>[7,3,8,1,5,6,4,2]=>[2,4,6,5,1,8,3,7]=>[[1,2,3,6],[4,7,8],[5]]=>17 [2,7,6,1,5,8,4,3]=>[7,2,6,5,8,4,1,3]=>[3,1,4,8,5,6,2,7]=>[[1,3,4,6,8],[2,5],[7]]=>15 [2,1,7,6,3,8,5,4]=>[2,7,6,8,5,1,3,4]=>[4,3,1,5,8,6,7,2]=>[[1,4,5,7],[2,6],[3,8]]=>11 [2,1,7,6,3,8,4,5]=>[2,7,6,1,8,3,4,5]=>[5,4,3,8,1,6,7,2]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [5,7,3,6,2,8,4,1]=>[5,7,3,2,6,8,4,1]=>[1,4,8,6,2,3,7,5]=>[[1,2,3,7],[4,6,8],[5]]=>18 [2,7,6,4,1,8,3,5]=>[7,2,6,4,1,8,3,5]=>[5,3,8,1,4,6,2,7]=>[[1,3,6,8],[2,5],[4,7]]=>14 [2,3,4,8,7,6,1,5]=>[8,7,6,2,3,4,1,5]=>[5,1,4,3,2,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>12 [7,3,5,4,8,1,2,6]=>[5,3,4,1,7,2,8,6]=>[6,8,2,7,1,4,3,5]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [6,4,3,5,8,7,2,1]=>[4,3,6,8,5,7,2,1]=>[1,2,7,5,8,6,3,4]=>[[1,2,3,5],[4,6],[7,8]]=>18 [2,1,4,5,8,7,3,6]=>[8,7,2,4,5,1,3,6]=>[6,3,1,5,4,2,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [6,4,3,5,8,7,1,2]=>[4,3,6,8,5,1,7,2]=>[2,7,1,5,8,6,3,4]=>[[1,2,5],[3,4,6],[7,8]]=>17 [2,3,4,8,7,5,1,6]=>[2,8,7,3,4,5,1,6]=>[6,1,5,4,3,7,8,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>11 [2,7,6,5,4,8,1,3]=>[7,6,5,4,8,2,1,3]=>[3,1,2,8,4,5,6,7]=>[[1,3,4,6,7,8],[2,5]]=>17 [7,3,5,6,8,4,1,2]=>[3,7,5,6,1,8,4,2]=>[2,4,8,1,6,5,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [7,3,5,6,8,1,4,2]=>[3,7,5,1,6,8,4,2]=>[2,4,8,6,1,5,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [7,3,5,6,8,1,2,4]=>[3,7,5,1,6,2,8,4]=>[4,8,2,6,1,5,7,3]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [6,4,1,5,8,7,2,3]=>[1,6,8,4,5,2,7,3]=>[3,7,2,5,4,8,6,1]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [6,4,1,5,8,7,3,2]=>[1,6,8,4,5,7,3,2]=>[2,3,7,5,4,8,6,1]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [5,7,1,6,3,8,2,4]=>[7,5,1,3,6,2,8,4]=>[4,8,2,6,3,1,5,7]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [6,4,1,5,8,3,2,7]=>[1,6,8,4,5,3,2,7]=>[7,2,3,5,4,8,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [7,4,1,5,8,2,3,6]=>[4,5,1,2,7,3,8,6]=>[6,8,3,7,2,1,5,4]=>[[1,2],[3,4],[5,7],[6,8]]=>14 [7,4,1,5,8,2,6,3]=>[4,5,1,2,7,8,6,3]=>[3,6,8,7,2,1,5,4]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [6,3,5,7,8,2,1,4]=>[6,3,5,7,2,1,8,4]=>[4,8,1,2,7,5,3,6]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [6,3,5,7,8,2,4,1]=>[6,3,5,7,2,8,4,1]=>[1,4,8,2,7,5,3,6]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [5,7,3,6,1,8,4,2]=>[5,3,7,1,6,8,4,2]=>[2,4,8,6,1,7,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>17 [2,1,4,5,8,6,3,7]=>[2,8,4,5,6,1,3,7]=>[7,3,1,6,5,4,8,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [7,3,5,4,8,6,2,1]=>[5,3,4,7,8,6,2,1]=>[1,2,6,8,7,4,3,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [2,3,4,8,5,6,1,7]=>[2,3,8,4,5,6,1,7]=>[7,1,6,5,4,8,3,2]=>[[1,3,6],[2],[4],[5],[7],[8]]=>9 [2,3,4,8,1,6,7,5]=>[2,3,8,4,6,7,1,5]=>[5,1,7,6,4,8,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [2,1,4,5,8,3,7,6]=>[2,8,4,5,7,1,3,6]=>[6,3,1,7,5,4,8,2]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [7,4,3,5,8,2,6,1]=>[4,3,5,7,2,8,6,1]=>[1,6,8,2,7,5,3,4]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [2,3,4,8,5,1,6,7]=>[2,3,8,4,5,1,6,7]=>[7,6,1,5,4,8,3,2]=>[[1,4,6],[2],[3],[5],[7],[8]]=>8 [2,3,4,8,1,5,7,6]=>[2,3,8,4,7,1,5,6]=>[6,5,1,7,4,8,3,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [7,8,2,6,1,5,3,4]=>[2,7,1,8,3,6,5,4]=>[4,5,6,3,8,1,7,2]=>[[1,2,3,5],[4,7],[6,8]]=>19 [7,8,1,6,2,5,3,4]=>[7,1,2,8,3,6,5,4]=>[4,5,6,3,8,2,1,7]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [1,8,5,7,2,6,3,4]=>[5,1,8,2,7,6,3,4]=>[4,3,6,7,2,8,1,5]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [5,8,1,7,2,6,3,4]=>[5,1,8,2,7,3,6,4]=>[4,6,3,7,2,8,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [5,8,2,7,1,6,3,4]=>[5,8,2,1,7,3,6,4]=>[4,6,3,7,1,2,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>17 [1,8,2,7,5,6,3,4]=>[8,1,7,5,2,6,3,4]=>[4,3,6,2,5,7,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [2,8,4,7,1,6,3,5]=>[2,8,7,4,1,6,3,5]=>[5,3,6,1,4,7,8,2]=>[[1,3,6,7],[2,5],[4,8]]=>15 [4,8,2,7,1,6,3,5]=>[4,8,2,1,7,6,3,5]=>[5,3,6,7,1,2,8,4]=>[[1,3,4,7],[2,6,8],[5]]=>16 [1,8,4,7,2,6,3,5]=>[8,1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [4,8,1,7,5,6,2,3]=>[4,8,7,1,5,2,6,3]=>[3,6,2,5,1,7,8,4]=>[[1,2,6,7],[3,4],[5,8]]=>17 [1,8,3,7,5,6,2,4]=>[5,8,7,6,1,3,2,4]=>[4,2,3,1,6,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>15 [3,8,1,7,4,6,2,5]=>[8,3,7,1,6,4,2,5]=>[5,2,4,6,1,7,3,8]=>[[1,3,4,6,8],[2,7],[5]]=>15 [1,8,3,7,4,6,2,5]=>[8,1,7,6,3,4,2,5]=>[5,2,4,3,6,7,1,8]=>[[1,3,5,6,8],[2],[4],[7]]=>14 [1,8,3,7,2,6,4,5]=>[8,7,1,3,2,6,4,5]=>[5,4,6,2,3,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [3,8,1,7,2,6,4,5]=>[3,1,8,7,2,6,4,5]=>[5,4,6,2,7,8,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [3,8,2,7,4,6,1,5]=>[3,8,7,2,6,4,1,5]=>[5,1,4,6,2,7,8,3]=>[[1,3,4,6,7],[2,8],[5]]=>16 [3,8,4,7,5,6,1,2]=>[3,8,4,7,5,1,6,2]=>[2,6,1,5,7,4,8,3]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [2,8,4,7,5,6,1,3]=>[4,8,5,7,6,2,1,3]=>[3,1,2,6,7,5,8,4]=>[[1,3,4,5,7],[2,6],[8]]=>17 [2,8,3,7,1,6,4,5]=>[8,2,7,3,1,6,4,5]=>[5,4,6,1,3,7,2,8]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [7,5,2,8,6,4,1,3]=>[2,7,8,5,1,6,4,3]=>[3,4,6,1,5,8,7,2]=>[[1,2,3,6],[4,5,7],[8]]=>20 [7,5,1,8,6,2,3,4]=>[5,1,7,2,3,8,6,4]=>[4,6,8,3,2,7,1,5]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [7,4,8,6,1,5,2,3]=>[7,4,1,8,2,6,5,3]=>[3,5,6,2,8,1,4,7]=>[[1,2,3,5],[4,7,8],[6]]=>20 [7,1,8,4,5,2,6,3]=>[7,1,4,2,8,5,6,3]=>[3,6,5,8,2,4,1,7]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [6,8,1,7,4,2,5,3]=>[1,8,6,2,4,7,5,3]=>[3,5,7,4,2,6,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [1,6,7,4,2,8,5,3]=>[1,6,4,7,8,5,2,3]=>[3,2,5,8,7,4,6,1]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [1,6,7,3,8,5,2,4]=>[6,7,8,1,5,3,2,4]=>[4,2,3,5,1,8,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>14 [7,1,8,3,5,6,2,4]=>[7,1,8,3,5,2,6,4]=>[4,6,2,5,3,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [7,3,8,6,2,5,1,4]=>[7,3,8,6,2,1,5,4]=>[4,5,1,2,6,8,3,7]=>[[1,2,5,6],[3,4,7,8]]=>20 [7,4,2,8,6,1,3,5]=>[4,7,2,1,8,3,6,5]=>[5,6,3,8,1,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>17 [7,3,1,8,4,2,5,6]=>[3,7,1,4,2,5,8,6]=>[6,8,5,2,4,1,7,3]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [7,2,8,4,1,5,3,6]=>[4,2,7,5,1,3,8,6]=>[6,8,3,1,5,7,2,4]=>[[1,2,6],[3,5,8],[4,7]]=>15 [7,2,8,3,5,1,6,4]=>[7,2,3,1,8,5,6,4]=>[4,6,5,8,1,3,2,7]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [7,2,8,3,4,6,1,5]=>[2,3,7,8,4,1,6,5]=>[5,6,1,4,8,7,3,2]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [1,5,7,8,2,6,3,4]=>[7,5,1,8,2,6,3,4]=>[4,3,6,2,8,1,5,7]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [6,2,3,8,5,7,4,1]=>[8,6,2,3,5,7,4,1]=>[1,4,7,5,3,2,6,8]=>[[1,2,3,7,8],[4],[5],[6]]=>16 [6,2,4,8,5,3,1,7]=>[6,2,8,4,5,3,1,7]=>[7,1,3,5,4,8,2,6]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [6,3,1,4,8,5,2,7]=>[6,1,3,4,8,5,2,7]=>[7,2,5,8,4,3,1,6]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [2,6,3,7,8,4,5,1]=>[6,7,2,3,8,4,5,1]=>[1,5,4,8,3,2,7,6]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [2,4,7,3,6,8,5,1]=>[4,7,6,8,2,3,5,1]=>[1,5,3,2,8,6,7,4]=>[[1,2,5,7],[3,6],[4,8]]=>13 [2,5,3,7,8,1,6,4]=>[5,7,2,8,3,6,1,4]=>[4,1,6,3,8,2,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>12 [5,3,1,4,8,2,6,7]=>[3,1,5,8,4,2,6,7]=>[7,6,2,4,8,5,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [4,8,2,3,6,1,7,5]=>[2,4,6,3,8,7,1,5]=>[5,1,7,8,3,6,4,2]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [4,8,2,3,5,7,1,6]=>[2,4,8,3,7,5,1,6]=>[6,1,5,7,3,8,4,2]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [5,3,8,2,4,7,1,6]=>[5,3,8,2,7,4,1,6]=>[6,1,4,7,2,8,3,5]=>[[1,3,4,6],[2,7,8],[5]]=>15 [6,4,2,8,1,3,7,5]=>[2,4,1,6,8,3,7,5]=>[5,7,3,8,6,1,4,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [6,3,8,1,4,7,2,5]=>[3,6,8,1,4,2,7,5]=>[5,7,2,4,1,8,6,3]=>[[1,2,6],[3,4,7],[5,8]]=>15 [5,8,1,3,6,2,7,4]=>[1,5,8,3,2,6,7,4]=>[4,7,6,2,3,8,5,1]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [5,8,4,1,2,7,6,3]=>[1,2,5,8,7,4,6,3]=>[3,6,4,7,8,5,2,1]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [6,5,3,1,4,2,8,7]=>[1,3,6,5,4,8,2,7]=>[7,2,8,4,5,6,3,1]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [5,3,1,6,4,2,7,8]=>[1,3,5,6,4,2,7,8]=>[8,7,2,4,6,5,3,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>9 [4,6,1,7,5,2,8,3]=>[4,6,1,7,2,5,8,3]=>[3,8,5,2,7,1,6,4]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [4,5,1,7,2,6,3,8]=>[1,4,5,7,2,6,3,8]=>[8,3,6,2,7,5,4,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [3,5,6,1,2,8,7,4]=>[5,1,6,8,3,7,2,4]=>[4,2,7,3,8,6,1,5]=>[[1,3,5],[2,4,6],[7,8]]=>11 [4,2,5,7,1,8,6,3]=>[2,4,5,7,8,1,6,3]=>[3,6,1,8,7,5,4,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [3,4,7,2,8,6,1,5]=>[3,7,8,4,6,2,1,5]=>[5,1,2,6,4,8,7,3]=>[[1,3,4,6],[2,5,7],[8]]=>14 [3,4,6,2,8,1,5,7]=>[6,8,3,4,2,1,5,7]=>[7,5,1,2,4,3,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [3,5,2,6,8,1,7,4]=>[5,8,3,6,2,7,1,4]=>[4,1,7,2,6,3,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>12 [4,2,5,6,1,3,8,7]=>[2,4,5,1,6,8,3,7]=>[7,3,8,6,1,5,4,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>9 [4,3,1,2,5,6,8,7]=>[1,4,3,8,2,5,6,7]=>[7,6,5,2,8,3,4,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [3,7,2,5,4,8,6,1]=>[3,7,2,5,8,4,6,1]=>[1,6,4,8,5,2,7,3]=>[[1,2,4,7],[3,5],[6,8]]=>14 [4,7,2,5,8,3,6,1]=>[2,4,7,8,5,3,6,1]=>[1,6,3,5,8,7,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [5,2,6,8,4,3,7,1]=>[8,5,6,2,4,3,7,1]=>[1,7,3,4,2,6,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [5,1,6,8,4,3,2,7]=>[8,5,6,4,1,3,2,7]=>[7,2,3,1,4,6,5,8]=>[[1,3,5,6,8],[2,7],[4]]=>14 [8,5,4,7,6,3,2,1]=>[5,8,4,7,6,3,2,1]=>[1,2,3,6,7,4,8,5]=>[[1,2,3,4,5,7],[6,8]]=>24 [5,7,1,8,4,3,2,6]=>[7,1,5,8,4,3,2,6]=>[6,2,3,4,8,5,1,7]=>[[1,3,4,5,8],[2,6],[7]]=>16 [8,2,1,5,4,3,7,6]=>[5,2,4,8,1,3,7,6]=>[6,7,3,1,8,4,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>12 [8,4,1,5,7,3,2,6]=>[8,4,5,1,3,2,7,6]=>[6,7,2,3,1,5,4,8]=>[[1,2,6,8],[3,4],[5,7]]=>16 [8,4,6,1,7,3,2,5]=>[1,8,4,6,3,2,7,5]=>[5,7,2,3,6,4,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [2,7,6,1,4,3,8,5]=>[2,7,1,6,4,8,3,5]=>[5,3,8,4,6,1,7,2]=>[[1,3,5,7],[2,4],[6,8]]=>12 [6,7,8,5,1,3,2,4]=>[1,6,7,3,2,8,5,4]=>[4,5,8,2,3,7,6,1]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [5,7,6,8,2,3,4,1]=>[7,5,2,6,3,8,4,1]=>[1,4,8,3,6,2,5,7]=>[[1,2,3,8],[4,5],[6,7]]=>20 [6,7,8,2,4,3,5,1]=>[2,6,7,4,3,8,5,1]=>[1,5,8,3,4,7,6,2]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [4,7,6,2,8,3,5,1]=>[7,6,4,2,8,3,5,1]=>[1,5,3,8,2,4,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>18 [8,3,6,2,4,7,5,1]=>[3,2,4,8,6,7,5,1]=>[1,5,7,6,8,4,2,3]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [3,7,6,2,4,8,5,1]=>[3,2,7,6,8,4,5,1]=>[1,5,4,8,6,7,2,3]=>[[1,2,4,6],[3,5],[7,8]]=>16 [4,7,3,5,8,6,2,1]=>[4,3,7,8,5,6,2,1]=>[1,2,6,5,8,7,3,4]=>[[1,2,3,5],[4,6],[7,8]]=>18 [8,7,2,1,4,3,6,5]=>[2,4,8,1,3,7,6,5]=>[5,6,7,3,1,8,4,2]=>[[1,2,3,6],[4,7],[5,8]]=>16 [8,7,3,1,4,6,2,5]=>[8,1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [8,7,6,3,2,5,4,1]=>[3,8,2,7,6,5,4,1]=>[1,4,5,6,7,2,8,3]=>[[1,2,3,4,5,7],[6,8]]=>24 [8,7,3,5,1,6,2,4]=>[1,3,8,5,2,7,6,4]=>[4,6,7,2,5,8,3,1]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [8,7,2,5,1,3,6,4]=>[2,1,3,8,5,7,6,4]=>[4,6,7,5,8,3,1,2]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [8,2,6,5,1,3,7,4]=>[2,1,8,3,6,5,7,4]=>[4,7,5,6,3,8,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [3,7,6,5,1,8,2,4]=>[7,6,5,3,1,8,2,4]=>[4,2,8,1,3,5,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>16 [5,6,4,3,8,7,1,2]=>[5,6,4,8,3,1,7,2]=>[2,7,1,3,8,4,6,5]=>[[1,2,5,7],[3,4,6],[8]]=>18 [3,6,2,4,8,1,5,7]=>[3,6,2,8,4,1,5,7]=>[7,5,1,4,8,2,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [3,4,7,2,8,1,6,5]=>[3,7,8,4,2,6,1,5]=>[5,1,6,2,4,8,7,3]=>[[1,3,5,6],[2,4,7],[8]]=>13 [1,4,7,2,5,8,6,3]=>[7,4,8,1,5,6,2,3]=>[3,2,6,5,1,8,4,7]=>[[1,3,6],[2,4,8],[5,7]]=>10 [7,3,8,4,5,6,1,2]=>[3,7,4,5,1,8,6,2]=>[2,6,8,1,5,4,7,3]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [3,5,6,4,8,7,1,2]=>[5,6,8,3,4,1,7,2]=>[2,7,1,4,3,8,6,5]=>[[1,2,6],[3,4,7],[5,8]]=>15 [1,6,5,4,2,8,7,3]=>[1,6,5,8,4,7,2,3]=>[3,2,7,4,8,5,6,1]=>[[1,3,5,7],[2,4,6],[8]]=>12 [1,8,5,2,7,3,6,4]=>[5,8,1,2,7,6,3,4]=>[4,3,6,7,2,1,8,5]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [4,2,7,5,1,8,6,3]=>[2,7,4,8,1,5,6,3]=>[3,6,5,1,8,4,7,2]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [4,1,7,5,3,2,6,8]=>[7,1,4,5,3,2,6,8]=>[8,6,2,3,5,4,1,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>10 [6,5,1,3,4,2,8,7]=>[1,6,3,5,4,8,2,7]=>[7,2,8,4,5,3,6,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [4,8,5,3,1,7,2,6]=>[4,5,3,1,8,7,2,6]=>[6,2,7,8,1,3,5,4]=>[[1,3,4],[2,6,7],[5,8]]=>16 [7,4,5,3,2,8,1,6]=>[4,5,3,2,7,1,8,6]=>[6,8,1,7,2,3,5,4]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [2,5,8,6,4,1,3,7]=>[5,8,6,4,2,1,3,7]=>[7,3,1,2,4,6,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>14 [1,4,6,2,5,8,3,7]=>[4,6,8,1,5,2,3,7]=>[7,3,2,5,1,8,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [3,6,2,5,8,1,7,4]=>[3,6,8,5,2,7,1,4]=>[4,1,7,2,5,8,6,3]=>[[1,3,5,6],[2,4,7],[8]]=>13 [1,6,8,7,4,2,3,5]=>[6,1,8,2,7,4,3,5]=>[5,3,4,7,2,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [6,1,7,8,2,4,3,5]=>[1,6,7,4,2,3,8,5]=>[5,8,3,2,4,7,6,1]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [6,1,3,2,7,5,8,4]=>[3,6,7,1,2,5,8,4]=>[4,8,5,2,1,7,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [2,6,4,1,7,5,8,3]=>[4,2,6,7,5,8,1,3]=>[3,1,8,5,7,6,2,4]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [7,6,5,8,1,4,2,3]=>[7,1,6,5,2,8,4,3]=>[3,4,8,2,5,6,1,7]=>[[1,2,3,6,8],[4,5],[7]]=>21 [7,1,3,4,5,2,8,6]=>[3,4,5,1,2,7,8,6]=>[6,8,7,2,1,5,4,3]=>[[1,2],[3,6],[4,7],[5],[8]]=>10 [1,8,3,5,4,2,7,6]=>[8,1,3,5,4,7,2,6]=>[6,2,7,4,5,3,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [4,1,6,3,8,2,7,5]=>[8,1,4,6,3,7,2,5]=>[5,2,7,3,6,4,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [7,8,2,4,6,3,1,5]=>[4,7,2,3,1,8,6,5]=>[5,6,8,1,3,2,7,4]=>[[1,2,3],[4,5,7],[6,8]]=>19 [3,2,6,4,7,8,1,5]=>[6,3,7,8,2,4,1,5]=>[5,1,4,2,8,7,3,6]=>[[1,3,5,8],[2,6],[4,7]]=>11 [2,8,5,7,4,3,1,6]=>[8,7,5,2,4,3,1,6]=>[6,1,3,4,2,5,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>17 [7,2,5,8,3,4,1,6]=>[5,2,7,3,4,1,8,6]=>[6,8,1,4,3,7,2,5]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [5,3,8,7,1,2,6,4]=>[3,1,8,5,7,2,6,4]=>[4,6,2,7,5,8,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>16 [6,5,3,8,2,1,7,4]=>[3,6,5,2,8,1,7,4]=>[4,7,1,8,2,5,6,3]=>[[1,2,4,7],[3,5,6],[8]]=>17 [5,8,7,4,1,3,2,6]=>[8,1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>19 [3,5,7,8,4,1,2,6]=>[7,8,5,3,1,4,2,6]=>[6,2,4,1,3,5,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>15 [1,4,7,5,3,8,2,6]=>[4,7,5,8,3,1,2,6]=>[6,2,1,3,8,5,7,4]=>[[1,4,5,7],[2,6],[3,8]]=>11 [2,4,6,7,3,1,8,5]=>[6,7,4,2,3,8,1,5]=>[5,1,8,3,2,4,7,6]=>[[1,3,6,7],[2,4],[5,8]]=>11 [7,8,4,6,3,1,2,5]=>[4,1,7,3,2,8,6,5]=>[5,6,8,2,3,7,1,4]=>[[1,2,3],[4,5,6],[7,8]]=>21 [2,6,4,5,3,8,1,7]=>[4,6,5,8,2,3,1,7]=>[7,1,3,2,8,5,6,4]=>[[1,3,5,7],[2,6],[4,8]]=>12 [6,8,5,4,3,1,2,7]=>[1,8,6,5,4,3,2,7]=>[7,2,3,4,5,6,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>20 [6,1,4,2,8,5,7,3]=>[6,1,2,8,4,5,7,3]=>[3,7,5,4,8,2,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [3,8,2,5,6,1,7,4]=>[3,5,6,2,8,7,1,4]=>[4,1,7,8,2,6,5,3]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [2,8,1,5,6,3,7,4]=>[2,5,1,8,6,7,3,4]=>[4,3,7,6,8,1,5,2]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [8,1,2,5,6,3,7,4]=>[8,1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [1,8,2,5,7,6,3,4]=>[8,7,1,5,2,6,3,4]=>[4,3,6,2,5,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [5,1,8,6,2,7,3,4]=>[1,5,8,6,2,3,7,4]=>[4,7,3,2,6,8,5,1]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [2,5,8,6,1,7,3,4]=>[5,2,8,6,1,7,3,4]=>[4,3,7,1,6,8,2,5]=>[[1,3,6],[2,5,8],[4,7]]=>14 [8,6,1,5,7,2,3,4]=>[1,6,5,2,3,8,7,4]=>[4,7,8,3,2,5,6,1]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [7,6,5,8,1,2,4,3]=>[1,2,7,6,5,8,4,3]=>[3,4,8,5,6,7,2,1]=>[[1,2,3,5,6],[4],[7],[8]]=>20 [5,1,7,6,8,4,2,3]=>[7,5,6,1,8,2,4,3]=>[3,4,2,8,1,6,5,7]=>[[1,2,4,8],[3,6],[5,7]]=>16 [5,1,3,7,8,6,2,4]=>[7,8,3,5,1,2,6,4]=>[4,6,2,1,5,3,8,7]=>[[1,2,7],[3,5,8],[4,6]]=>13 [7,2,5,8,1,6,4,3]=>[5,2,7,8,6,1,4,3]=>[3,4,1,6,8,7,2,5]=>[[1,2,4,5],[3,6,8],[7]]=>17 [5,2,8,6,1,7,3,4]=>[5,2,8,6,1,3,7,4]=>[4,7,3,1,6,8,2,5]=>[[1,2,6],[3,5,8],[4,7]]=>15 [1,2,8,6,5,7,3,4]=>[6,5,1,8,7,2,3,4]=>[4,3,2,7,8,1,5,6]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [4,2,1,3,6,7,8,5]=>[2,1,4,6,7,8,3,5]=>[5,3,8,7,6,4,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [8,2,5,6,3,7,1,4]=>[5,2,3,8,6,1,7,4]=>[4,7,1,6,8,3,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>17 [6,1,3,5,4,7,8,2]=>[6,1,5,3,4,7,8,2]=>[2,8,7,4,3,5,1,6]=>[[1,2,6,8],[3],[4],[5],[7]]=>11 [8,5,2,6,3,7,1,4]=>[5,2,3,6,1,8,7,4]=>[4,7,8,1,6,3,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [3,5,8,6,2,7,1,4]=>[5,8,6,3,7,2,1,4]=>[4,1,2,7,3,6,8,5]=>[[1,3,4,6,7],[2,5],[8]]=>16 [5,8,1,6,3,7,2,4]=>[5,1,8,3,6,2,7,4]=>[4,7,2,6,3,8,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [1,7,6,5,4,2,8,3]=>[1,7,6,5,4,8,2,3]=>[3,2,8,4,5,6,7,1]=>[[1,3,5,6,7],[2,4],[8]]=>15 [7,1,4,2,6,5,8,3]=>[7,1,2,6,4,5,8,3]=>[3,8,5,4,6,2,1,7]=>[[1,2,5,8],[3],[4],[6],[7]]=>12 [4,1,7,3,5,6,8,2]=>[7,1,4,3,5,6,8,2]=>[2,8,6,5,3,4,1,7]=>[[1,2,6,8],[3],[4],[5],[7]]=>11 [2,7,4,1,5,6,8,3]=>[4,2,5,7,6,8,1,3]=>[3,1,8,6,7,5,2,4]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [4,7,6,1,5,2,8,3]=>[4,1,7,6,2,5,8,3]=>[3,8,5,2,6,7,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [1,7,6,4,5,2,8,3]=>[4,1,7,6,5,8,2,3]=>[3,2,8,5,6,7,1,4]=>[[1,3,5,6],[2,4],[7,8]]=>14 [1,8,3,6,5,7,2,4]=>[6,5,8,7,1,3,2,4]=>[4,2,3,1,7,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>14 [7,8,5,4,1,6,2,3]=>[7,1,5,4,2,8,6,3]=>[3,6,8,2,4,5,1,7]=>[[1,2,3,8],[4,5,6],[7]]=>21 [6,1,5,4,3,7,8,2]=>[6,5,4,1,3,7,8,2]=>[2,8,7,3,1,4,5,6]=>[[1,2,6,7,8],[3],[4],[5]]=>13 [7,5,6,4,2,1,8,3]=>[5,2,1,7,6,4,8,3]=>[3,8,4,6,7,1,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>19 [8,3,2,6,5,7,1,4]=>[3,8,6,2,5,1,7,4]=>[4,7,1,5,2,6,8,3]=>[[1,2,6,7],[3,4,8],[5]]=>17 [6,1,4,3,5,7,8,2]=>[6,1,4,3,5,7,8,2]=>[2,8,7,5,3,4,1,6]=>[[1,2,6,8],[3],[4],[5],[7]]=>11 [6,1,3,4,5,7,8,2]=>[1,3,6,4,5,7,8,2]=>[2,8,7,5,4,6,3,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>10 [8,2,3,6,5,7,1,4]=>[8,2,6,3,5,1,7,4]=>[4,7,1,5,3,6,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [5,4,7,3,6,8,1,2]=>[5,7,4,3,6,1,8,2]=>[2,8,1,6,3,4,7,5]=>[[1,2,6,7],[3,4,8],[5]]=>17 [3,4,7,8,5,6,1,2]=>[7,3,8,4,5,1,6,2]=>[2,6,1,5,4,8,3,7]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [3,4,7,2,5,1,6,8]=>[3,7,4,2,5,1,6,8]=>[8,6,1,5,2,4,7,3]=>[[1,4,6,7],[2],[3],[5],[8]]=>10 [4,3,6,7,5,8,1,2]=>[4,6,7,3,5,1,8,2]=>[2,8,1,5,3,7,6,4]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [6,3,7,5,8,4,1,2]=>[6,7,3,5,1,8,4,2]=>[2,4,8,1,5,3,7,6]=>[[1,2,3,7],[4,5,8],[6]]=>19 [7,3,8,6,4,5,1,2]=>[7,3,8,4,1,6,5,2]=>[2,5,6,1,4,8,3,7]=>[[1,2,3,6],[4,5,8],[7]]=>21 [3,2,7,6,5,1,4,8]=>[7,6,3,5,2,1,4,8]=>[8,4,1,2,5,3,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>12 [1,2,7,6,5,8,3,4]=>[7,6,5,1,8,2,3,4]=>[4,3,2,8,1,5,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [4,8,2,6,1,5,3,7]=>[2,4,8,1,6,5,3,7]=>[7,3,5,6,1,8,4,2]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [7,8,1,2,5,6,3,4]=>[7,5,1,2,3,8,6,4]=>[4,6,8,3,2,1,5,7]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [4,1,6,2,5,7,3,8]=>[4,6,1,2,5,7,3,8]=>[8,3,7,5,2,1,6,4]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [6,1,2,5,8,7,3,4]=>[6,8,5,1,2,3,7,4]=>[4,7,3,2,1,5,8,6]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [7,1,3,6,8,4,2,5]=>[7,6,3,4,1,2,8,5]=>[5,8,2,1,4,3,6,7]=>[[1,2,7,8],[3,5],[4,6]]=>14 [5,1,8,7,2,3,6,4]=>[1,5,8,7,2,3,6,4]=>[4,6,3,2,7,8,5,1]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [6,1,5,7,4,2,8,3]=>[6,5,1,7,2,4,8,3]=>[3,8,4,2,7,1,5,6]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [5,6,8,1,3,2,4,7]=>[8,1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [2,8,3,4,5,1,7,6]=>[2,3,4,5,8,7,1,6]=>[6,1,7,8,5,4,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [4,2,8,3,1,7,5,6]=>[2,4,8,7,3,1,5,6]=>[6,5,1,3,7,8,4,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [5,3,7,4,1,6,2,8]=>[5,3,1,7,4,6,2,8]=>[8,2,6,4,7,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [2,4,7,3,6,1,8,5]=>[4,7,6,2,3,8,1,5]=>[5,1,8,3,2,6,7,4]=>[[1,3,6,7],[2,4],[5,8]]=>11 [7,5,6,8,1,4,3,2]=>[1,5,7,6,8,4,3,2]=>[2,3,4,8,6,7,5,1]=>[[1,2,3,4,6],[5],[7],[8]]=>21 [2,4,7,1,6,5,3,8]=>[4,7,6,2,5,1,3,8]=>[8,3,1,5,2,6,7,4]=>[[1,4,6,7],[2,5,8],[3]]=>10 [4,2,1,3,6,5,8,7]=>[2,1,4,6,8,3,5,7]=>[7,5,3,8,6,4,1,2]=>[[1,4],[2,5],[3,6],[7,8]]=>6 [4,2,6,1,8,5,3,7]=>[6,2,4,8,1,5,3,7]=>[7,3,5,1,8,4,2,6]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [7,8,4,1,5,3,6,2]=>[1,7,4,5,3,8,6,2]=>[2,6,8,3,5,4,7,1]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [7,5,1,6,4,3,8,2]=>[5,7,6,1,4,3,8,2]=>[2,8,3,4,1,6,7,5]=>[[1,2,4,6,7],[3,8],[5]]=>17 [5,8,1,6,3,4,7,2]=>[5,1,8,3,6,4,7,2]=>[2,7,4,6,3,8,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [7,6,1,8,5,3,2,4]=>[7,6,3,1,2,8,5,4]=>[4,5,8,2,1,3,6,7]=>[[1,2,3,8],[4,6,7],[5]]=>19 [3,6,1,5,7,4,2,8]=>[6,3,5,7,1,4,2,8]=>[8,2,4,1,7,5,3,6]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [5,1,7,6,4,8,3,2]=>[7,5,6,4,8,1,3,2]=>[2,3,1,8,4,6,5,7]=>[[1,2,4,6,8],[3,5],[7]]=>16 [7,1,8,6,5,4,2,3]=>[7,1,8,6,5,2,4,3]=>[3,4,2,5,6,8,1,7]=>[[1,2,4,5,6],[3,8],[7]]=>20 [2,6,5,7,3,4,8,1]=>[6,5,2,7,3,4,8,1]=>[1,8,4,3,7,2,5,6]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [1,6,4,7,5,8,2,3]=>[4,6,7,5,1,8,2,3]=>[3,2,8,1,5,7,6,4]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [8,5,3,6,2,7,4,1]=>[3,5,2,6,8,7,4,1]=>[1,4,7,8,6,2,5,3]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [1,3,7,4,6,8,2,5]=>[7,3,6,8,4,1,2,5]=>[5,2,1,4,8,6,3,7]=>[[1,4,5,8],[2,6],[3,7]]=>10 [4,7,5,6,3,2,8,1]=>[4,7,5,6,3,2,8,1]=>[1,8,2,3,6,5,7,4]=>[[1,2,4,5,7],[3],[6],[8]]=>18 [1,7,6,5,4,8,2,3]=>[7,6,5,4,1,8,2,3]=>[3,2,8,1,4,5,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>16 [1,2,7,6,8,3,4,5]=>[1,7,6,2,8,3,4,5]=>[5,4,3,8,2,6,7,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [6,1,7,5,3,8,2,4]=>[6,3,7,5,1,2,8,4]=>[4,8,2,1,5,7,3,6]=>[[1,2,6],[3,5,8],[4,7]]=>15 [2,1,7,5,6,8,3,4]=>[5,7,6,8,2,1,3,4]=>[4,3,1,2,8,6,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>11 [4,8,5,6,2,7,3,1]=>[4,5,2,8,6,7,3,1]=>[1,3,7,6,8,2,5,4]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [3,8,6,4,2,7,5,1]=>[3,6,4,8,7,2,5,1]=>[1,5,2,7,8,4,6,3]=>[[1,2,4,5],[3,6,7],[8]]=>18 [7,8,1,6,2,4,5,3]=>[7,1,2,8,4,6,5,3]=>[3,5,6,4,8,2,1,7]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [2,7,1,8,4,5,3,6]=>[2,7,1,8,4,5,3,6]=>[6,3,5,4,8,1,7,2]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [6,1,2,8,4,3,5,7]=>[6,1,4,2,3,8,5,7]=>[7,5,8,3,2,4,1,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [6,5,1,4,3,8,2,7]=>[6,5,1,4,8,3,2,7]=>[7,2,3,8,4,1,5,6]=>[[1,3,4,7,8],[2,5],[6]]=>14 [1,6,2,5,8,3,4,7]=>[6,1,8,2,5,3,4,7]=>[7,4,3,5,2,8,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [8,5,1,3,7,2,6,4]=>[3,5,8,1,2,7,6,4]=>[4,6,7,2,1,8,5,3]=>[[1,2,3,6],[4,7],[5,8]]=>16 [8,4,2,1,7,3,6,5]=>[2,4,8,1,7,3,6,5]=>[5,6,3,7,1,8,4,2]=>[[1,2,4,6],[3,7],[5,8]]=>15 [7,4,2,1,8,5,3,6]=>[2,7,1,4,5,3,8,6]=>[6,8,3,5,4,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [1,5,4,2,8,3,6,7]=>[5,1,8,4,2,3,6,7]=>[7,6,3,2,4,8,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [3,7,6,8,4,5,2,1]=>[7,6,3,8,4,5,2,1]=>[1,2,5,4,8,3,6,7]=>[[1,2,3,5,8],[4,7],[6]]=>20 [2,7,6,8,5,3,4,1]=>[7,6,2,8,5,3,4,1]=>[1,4,3,5,8,2,6,7]=>[[1,2,4,5,8],[3,7],[6]]=>19 [1,7,6,8,5,4,2,3]=>[7,6,1,8,5,4,2,3]=>[3,2,4,5,8,1,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>18 [1,4,8,6,7,5,2,3]=>[6,8,7,4,1,5,2,3]=>[3,2,5,1,4,7,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>15 [2,4,8,6,7,3,5,1]=>[6,8,7,4,2,3,5,1]=>[1,5,3,2,4,7,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>16 [7,3,8,5,4,6,2,1]=>[7,5,3,4,8,6,2,1]=>[1,2,6,8,4,3,5,7]=>[[1,2,3,4,8],[5,7],[6]]=>21 [3,4,8,5,6,7,2,1]=>[3,4,8,5,6,7,2,1]=>[1,2,7,6,5,8,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>16 [5,4,3,8,6,7,2,1]=>[5,8,4,3,6,7,2,1]=>[1,2,7,6,3,4,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>18 [5,4,2,8,7,3,6,1]=>[5,8,4,2,7,3,6,1]=>[1,6,3,7,2,4,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>17 [6,2,5,8,7,3,4,1]=>[6,8,5,2,3,7,4,1]=>[1,4,7,3,2,5,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>18 [3,2,8,5,7,4,6,1]=>[8,3,7,5,2,4,6,1]=>[1,6,4,2,5,7,3,8]=>[[1,2,5,6,8],[3,7],[4]]=>15 [1,3,8,7,5,6,2,4]=>[5,8,7,6,3,1,2,4]=>[4,2,1,3,6,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>14 [5,8,6,7,4,3,2,1]=>[5,8,6,7,4,3,2,1]=>[1,2,3,4,7,6,8,5]=>[[1,2,3,4,5,7],[6],[8]]=>24 [4,8,7,5,6,3,2,1]=>[4,8,7,5,6,3,2,1]=>[1,2,3,6,5,7,8,4]=>[[1,2,3,4,6,7],[5],[8]]=>23 [4,2,1,6,3,5,8,7]=>[2,4,1,6,8,3,5,7]=>[7,5,3,8,6,1,4,2]=>[[1,4],[2,5],[3,7],[6,8]]=>7 [6,2,1,4,3,5,8,7]=>[2,4,1,3,6,8,5,7]=>[7,5,8,6,3,1,4,2]=>[[1,3],[2,4],[5,7],[6,8]]=>8 [6,2,1,4,3,8,5,7]=>[2,4,6,1,3,8,5,7]=>[7,5,8,3,1,6,4,2]=>[[1,3],[2,6],[4,7],[5,8]]=>9 [8,2,1,4,3,6,5,7]=>[2,4,6,1,3,5,8,7]=>[7,8,5,3,1,6,4,2]=>[[1,2],[3,6],[4,7],[5,8]]=>10 [8,2,4,1,3,6,5,7]=>[4,2,6,1,3,5,8,7]=>[7,8,5,3,1,6,2,4]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [6,2,4,1,3,5,8,7]=>[4,2,1,3,6,8,5,7]=>[7,5,8,6,3,1,2,4]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [4,2,6,1,3,5,8,7]=>[4,2,1,6,8,3,5,7]=>[7,5,3,8,6,1,2,4]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [2,1,6,4,3,5,8,7]=>[2,6,4,8,1,3,5,7]=>[7,5,3,1,8,4,6,2]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [2,6,1,4,3,5,8,7]=>[2,6,1,4,8,3,5,7]=>[7,5,3,8,4,1,6,2]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [2,6,4,1,3,5,8,7]=>[6,2,1,4,8,3,5,7]=>[7,5,3,8,4,1,2,6]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [4,6,2,1,3,5,8,7]=>[2,1,6,4,8,3,5,7]=>[7,5,3,8,4,6,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [6,4,2,1,3,5,8,7]=>[2,1,4,3,6,8,5,7]=>[7,5,8,6,3,4,1,2]=>[[1,3],[2,4],[5,6],[7,8]]=>10 [8,4,2,1,3,6,5,7]=>[2,1,4,6,3,5,8,7]=>[7,8,5,3,6,4,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>12 [8,4,2,1,6,3,5,7]=>[2,4,1,6,3,5,8,7]=>[7,8,5,3,6,1,4,2]=>[[1,2],[3,5],[4,7],[6,8]]=>13 [6,4,2,1,8,3,5,7]=>[2,4,1,6,3,8,5,7]=>[7,5,8,3,6,1,4,2]=>[[1,3],[2,5],[4,7],[6,8]]=>12 [4,6,2,1,8,3,5,7]=>[6,4,2,1,8,3,5,7]=>[7,5,3,8,1,2,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [2,1,6,4,3,8,5,7]=>[2,6,8,4,1,3,5,7]=>[7,5,3,1,4,8,6,2]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [2,8,1,4,3,6,5,7]=>[2,4,8,1,3,6,5,7]=>[7,5,6,3,1,8,4,2]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [2,8,4,1,3,6,5,7]=>[4,2,8,1,3,6,5,7]=>[7,5,6,3,1,8,2,4]=>[[1,3,6],[2,7,8],[4],[5]]=>10 [4,8,2,1,3,6,5,7]=>[2,1,4,8,3,6,5,7]=>[7,5,6,3,8,4,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [4,8,2,1,6,3,5,7]=>[2,4,1,8,3,6,5,7]=>[7,5,6,3,8,1,4,2]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [6,8,2,1,4,3,5,7]=>[2,4,1,3,8,6,5,7]=>[7,5,6,8,3,1,4,2]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [8,6,2,1,4,3,5,7]=>[2,4,1,3,6,5,8,7]=>[7,8,5,6,3,1,4,2]=>[[1,2],[3,4],[5,7],[6,8]]=>14 [2,8,1,4,6,3,5,7]=>[8,2,4,1,3,6,5,7]=>[7,5,6,3,1,4,2,8]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [2,6,1,4,8,3,5,7]=>[6,2,8,1,4,3,5,7]=>[7,5,3,4,1,8,2,6]=>[[1,4,6],[2,7,8],[3],[5]]=>9 [2,6,4,8,1,3,5,7]=>[2,6,1,8,4,3,5,7]=>[7,5,3,4,8,1,6,2]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [6,2,4,1,8,3,5,7]=>[4,6,2,1,3,8,5,7]=>[7,5,8,3,1,2,6,4]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [8,2,1,4,6,3,5,7]=>[6,2,4,1,3,5,8,7]=>[7,8,5,3,1,4,2,6]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [6,2,1,4,8,3,5,7]=>[6,2,4,1,3,8,5,7]=>[7,5,8,3,1,4,2,6]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [4,2,1,6,8,3,5,7]=>[8,2,4,1,6,3,5,7]=>[7,5,3,6,1,4,2,8]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [4,2,1,6,3,8,5,7]=>[2,4,6,1,8,3,5,7]=>[7,5,3,8,1,6,4,2]=>[[1,4],[2,6],[3,7],[5,8]]=>8 [4,2,1,3,6,8,5,7]=>[2,8,1,4,6,3,5,7]=>[7,5,3,6,4,1,8,2]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [2,1,4,3,8,6,5,7]=>[2,8,4,6,1,3,5,7]=>[7,5,3,1,6,4,8,2]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [4,2,1,3,8,6,5,7]=>[2,4,8,1,6,3,5,7]=>[7,5,3,6,1,8,4,2]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [4,2,1,8,6,3,5,7]=>[4,8,2,1,6,3,5,7]=>[7,5,3,6,1,2,8,4]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [6,2,1,8,4,3,5,7]=>[2,6,4,1,3,8,5,7]=>[7,5,8,3,1,4,6,2]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [6,2,8,1,4,3,5,7]=>[2,6,1,4,3,8,5,7]=>[7,5,8,3,4,1,6,2]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [2,4,8,1,3,6,5,7]=>[2,1,8,4,6,3,5,7]=>[7,5,3,6,4,8,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [2,4,1,8,3,6,5,7]=>[4,2,8,6,1,3,5,7]=>[7,5,3,1,6,8,2,4]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [4,2,8,6,1,3,5,7]=>[4,2,1,8,6,3,5,7]=>[7,5,3,6,8,1,2,4]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [8,4,6,2,1,3,5,7]=>[2,1,6,4,3,5,8,7]=>[7,8,5,3,4,6,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [4,6,8,2,1,3,5,7]=>[2,1,8,6,4,3,5,7]=>[7,5,3,4,6,8,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [2,1,6,8,4,3,5,7]=>[2,8,6,4,1,3,5,7]=>[7,5,3,1,4,6,8,2]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [2,1,8,6,4,3,5,7]=>[2,8,6,1,4,3,5,7]=>[7,5,3,4,1,6,8,2]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [6,8,4,2,1,3,5,7]=>[2,1,4,3,8,6,5,7]=>[7,5,6,8,3,4,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [3,2,6,1,5,4,8,7]=>[6,3,2,5,8,1,4,7]=>[7,4,1,8,5,2,3,6]=>[[1,4,7,8],[2,5],[3,6]]=>8 [5,2,4,3,8,1,7,6]=>[5,8,2,4,3,7,1,6]=>[6,1,7,3,4,2,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>12 [6,2,4,1,5,3,8,7]=>[2,1,6,4,5,8,3,7]=>[7,3,8,5,4,6,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [4,3,6,1,5,2,8,7]=>[4,3,6,1,5,8,2,7]=>[7,2,8,5,1,6,3,4]=>[[1,3,6],[2,4,8],[5,7]]=>10 [4,3,5,2,8,1,7,6]=>[4,8,3,5,2,7,1,6]=>[6,1,7,2,5,3,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>12 [4,3,7,2,6,5,8,1]=>[7,4,3,6,2,5,8,1]=>[1,8,5,2,6,3,4,7]=>[[1,2,5,7,8],[3,6],[4]]=>14 [5,4,8,1,3,2,7,6]=>[8,1,5,4,3,7,2,6]=>[6,2,7,3,4,5,1,8]=>[[1,3,5,6,8],[2,4],[7]]=>14 [5,1,7,6,8,3,4,2]=>[7,5,6,1,8,3,4,2]=>[2,4,3,8,1,6,5,7]=>[[1,2,4,8],[3,6],[5,7]]=>16 [4,3,7,6,8,1,5,2]=>[7,4,6,3,8,1,5,2]=>[2,5,1,8,3,6,4,7]=>[[1,2,4,8],[3,5,6],[7]]=>16 [4,3,7,1,8,5,6,2]=>[4,7,8,3,1,5,6,2]=>[2,6,5,1,3,8,7,4]=>[[1,2,6],[3,5,7],[4,8]]=>14 [6,3,5,4,7,2,8,1]=>[6,3,5,4,7,2,8,1]=>[1,8,2,7,4,5,3,6]=>[[1,2,4,6,8],[3],[5],[7]]=>16 [6,3,5,4,8,1,7,2]=>[6,3,5,4,8,1,7,2]=>[2,7,1,8,4,5,3,6]=>[[1,2,4,8],[3,5,6],[7]]=>16 [7,1,6,3,8,4,5,2]=>[7,1,6,3,8,4,5,2]=>[2,5,4,8,3,6,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [7,4,6,5,8,1,3,2]=>[7,4,1,6,5,8,3,2]=>[2,3,8,5,6,1,4,7]=>[[1,2,3,5,8],[4,7],[6]]=>20 [2,1,8,4,6,3,7,5]=>[6,2,4,8,7,1,3,5]=>[5,3,1,7,8,4,2,6]=>[[1,4,5],[2,6,8],[3,7]]=>10 [8,4,6,1,3,2,7,5]=>[4,1,3,2,8,6,7,5]=>[5,7,6,8,2,3,1,4]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [8,1,6,3,4,2,7,5]=>[3,4,1,2,8,6,7,5]=>[5,7,6,8,2,1,4,3]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [8,1,6,3,7,2,5,4]=>[8,1,6,3,7,2,5,4]=>[4,5,2,7,3,6,1,8]=>[[1,2,4,8],[3,5,6],[7]]=>16 [8,3,5,1,7,2,6,4]=>[1,3,5,8,7,2,6,4]=>[4,6,2,7,8,5,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [8,3,5,2,6,1,7,4]=>[3,2,5,1,8,6,7,4]=>[4,7,6,8,1,5,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [7,3,5,2,6,4,8,1]=>[3,2,7,5,6,4,8,1]=>[1,8,4,6,5,7,2,3]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [8,2,7,1,5,3,6,4]=>[2,1,8,3,7,5,6,4]=>[4,6,5,7,3,8,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [8,2,4,1,5,3,7,6]=>[4,2,5,8,1,3,7,6]=>[6,7,3,1,8,5,2,4]=>[[1,2,5],[3,6,8],[4,7]]=>12 [3,2,8,1,5,4,7,6]=>[3,2,5,8,7,1,4,6]=>[6,4,1,7,8,5,2,3]=>[[1,4,5],[2,6,8],[3,7]]=>10 [3,2,7,6,8,1,5,4]=>[7,6,8,3,2,5,1,4]=>[4,1,5,2,3,8,6,7]=>[[1,3,5,6,8],[2,4,7]]=>14 [3,2,6,5,8,1,7,4]=>[6,8,3,5,2,7,1,4]=>[4,1,7,2,5,3,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>12 [6,5,8,2,4,1,7,3]=>[6,5,2,1,8,4,7,3]=>[3,7,4,8,1,2,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>18 [7,2,4,1,8,5,6,3]=>[2,7,1,4,8,5,6,3]=>[3,6,5,8,4,1,7,2]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [7,6,8,1,5,2,4,3]=>[1,7,2,6,8,5,4,3]=>[3,4,5,8,6,2,7,1]=>[[1,2,3,4,7],[5],[6],[8]]=>20 [7,1,3,2,8,5,6,4]=>[7,8,3,1,2,5,6,4]=>[4,6,5,2,1,3,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [7,1,8,2,6,4,5,3]=>[7,1,8,2,6,4,5,3]=>[3,5,4,6,2,8,1,7]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [7,2,8,1,5,4,6,3]=>[7,2,8,1,5,4,6,3]=>[3,6,4,5,1,8,2,7]=>[[1,2,4,6],[3,7,8],[5]]=>16 [6,2,7,4,5,3,8,1]=>[6,2,7,4,5,3,8,1]=>[1,8,3,5,4,7,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [5,4,7,2,6,3,8,1]=>[5,4,7,2,6,3,8,1]=>[1,8,3,6,2,7,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>16 [5,4,8,2,6,1,7,3]=>[5,8,4,2,1,6,7,3]=>[3,7,6,1,2,4,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>16 [2,1,6,5,8,3,7,4]=>[6,8,5,2,7,1,3,4]=>[4,3,1,7,2,5,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>10 [6,1,7,4,8,3,5,2]=>[1,6,7,8,4,3,5,2]=>[2,5,3,4,8,7,6,1]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [5,4,7,1,8,3,6,2]=>[5,4,7,1,8,3,6,2]=>[2,6,3,8,1,7,4,5]=>[[1,2,4,8],[3,6],[5,7]]=>16 [5,4,6,3,8,1,7,2]=>[5,4,6,3,8,1,7,2]=>[2,7,1,8,3,6,4,5]=>[[1,2,4,8],[3,5,6],[7]]=>16 [2,8,3,1,5,4,6,7]=>[2,3,5,1,4,8,6,7]=>[7,6,8,4,1,5,3,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>9 [4,2,5,3,1,8,6,7]=>[2,4,5,8,3,1,6,7]=>[7,6,1,3,8,5,4,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [5,1,4,8,3,2,6,7]=>[5,8,1,4,3,2,6,7]=>[7,6,2,3,4,1,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [1,5,8,4,3,2,6,7]=>[8,5,4,1,3,2,6,7]=>[7,6,2,3,1,4,5,8]=>[[1,4,6,7,8],[2],[3],[5]]=>11 [1,7,4,3,8,5,2,6]=>[7,8,1,4,3,5,2,6]=>[6,2,5,3,4,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [5,1,4,7,8,3,2,6]=>[5,7,8,4,1,3,2,6]=>[6,2,3,1,4,8,7,5]=>[[1,3,5,6],[2,7],[4,8]]=>13 [8,1,5,3,7,4,6,2]=>[8,1,5,3,7,4,6,2]=>[2,6,4,7,3,5,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [6,8,1,7,4,3,5,2]=>[8,6,4,1,3,7,5,2]=>[2,5,7,3,1,4,6,8]=>[[1,2,3,7,8],[4,6],[5]]=>19 [4,2,1,7,8,5,3,6]=>[7,2,4,8,1,5,3,6]=>[6,3,5,1,8,4,2,7]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [2,6,8,4,3,7,5,1]=>[6,2,8,4,7,3,5,1]=>[1,5,3,7,4,8,2,6]=>[[1,2,4,6],[3,5,8],[7]]=>16 [2,7,1,8,3,5,4,6]=>[2,1,7,8,3,5,4,6]=>[6,4,5,3,8,7,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [8,7,1,3,6,2,4,5]=>[8,1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [8,2,1,7,3,5,6,4]=>[8,2,1,7,3,5,6,4]=>[4,6,5,3,7,1,2,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [1,2,8,7,4,5,6,3]=>[4,5,8,7,6,1,2,3]=>[3,2,1,6,7,8,5,4]=>[[1,4,5,6],[2,7],[3,8]]=>12 [8,1,6,2,7,4,5,3]=>[8,1,6,2,7,4,5,3]=>[3,5,4,7,2,6,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [7,8,1,6,4,2,5,3]=>[1,7,2,8,4,6,5,3]=>[3,5,6,4,8,2,7,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [7,3,8,6,1,5,2,4]=>[7,3,1,8,6,2,5,4]=>[4,5,2,6,8,1,3,7]=>[[1,2,4,5],[3,7,8],[6]]=>19 [8,7,6,1,5,3,4,2]=>[1,8,7,3,6,5,4,2]=>[2,4,5,6,3,7,8,1]=>[[1,2,3,4,6,7],[5],[8]]=>23 [8,7,1,6,4,5,3,2]=>[1,8,7,6,4,5,3,2]=>[2,3,5,4,6,7,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>22 [8,1,7,5,6,4,3,2]=>[5,8,7,6,4,1,3,2]=>[2,3,1,4,6,7,8,5]=>[[1,2,4,5,6,7],[3,8]]=>21 [1,8,6,7,5,4,3,2]=>[6,8,7,5,4,3,1,2]=>[2,1,3,4,5,7,8,6]=>[[1,3,4,5,6,7],[2,8]]=>20 [8,5,2,7,4,3,1,6]=>[2,5,8,4,3,1,7,6]=>[6,7,1,3,4,8,5,2]=>[[1,2,5,6],[3,4,7],[8]]=>19 [8,3,4,5,7,2,1,6]=>[8,3,4,5,2,1,7,6]=>[6,7,1,2,5,4,3,8]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [5,7,4,6,3,8,2,1]=>[7,5,4,6,3,8,2,1]=>[1,2,8,3,6,4,5,7]=>[[1,2,3,5,7,8],[4],[6]]=>20 [6,5,3,7,1,8,4,2]=>[3,1,6,5,7,8,4,2]=>[2,4,8,7,5,6,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [6,5,1,4,7,8,3,2]=>[6,5,1,4,7,8,3,2]=>[2,3,8,7,4,1,5,6]=>[[1,2,3,7,8],[4],[5],[6]]=>16 [4,7,1,3,5,8,6,2]=>[1,7,4,8,3,5,6,2]=>[2,6,5,3,8,4,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [4,8,3,7,1,2,6,5]=>[1,8,4,3,7,6,2,5]=>[5,2,6,7,3,4,8,1]=>[[1,3,4,7],[2,5,6],[8]]=>16 [3,8,6,4,1,7,2,5]=>[3,6,4,1,8,7,2,5]=>[5,2,7,8,1,4,6,3]=>[[1,3,4],[2,6,7],[5,8]]=>16 [3,8,1,2,5,7,6,4]=>[8,1,3,5,7,6,2,4]=>[4,2,6,7,5,3,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [3,8,6,7,4,2,1,5]=>[6,3,8,7,4,2,1,5]=>[5,1,2,4,7,8,3,6]=>[[1,3,4,5,6],[2,8],[7]]=>19 [5,3,6,2,8,7,1,4]=>[3,5,8,2,6,1,7,4]=>[4,7,1,6,2,8,5,3]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [5,7,8,6,4,2,1,3]=>[7,8,5,2,1,6,4,3]=>[3,4,6,1,2,5,8,7]=>[[1,2,3,7],[4,5,6,8]]=>22 [2,6,7,5,4,8,1,3]=>[6,7,5,4,8,2,1,3]=>[3,1,2,8,4,5,7,6]=>[[1,3,4,6,7],[2,5],[8]]=>16 [6,1,7,4,5,8,2,3]=>[6,4,7,5,1,2,8,3]=>[3,8,2,1,5,7,4,6]=>[[1,2,6],[3,5,8],[4,7]]=>15 [2,1,6,7,5,8,3,4]=>[6,7,5,8,2,1,3,4]=>[4,3,1,2,8,5,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>11 [2,1,5,7,3,6,8,4]=>[7,5,2,6,8,1,3,4]=>[4,3,1,8,6,2,5,7]=>[[1,4,7,8],[2,5],[3,6]]=>8 [4,6,2,1,8,7,5,3]=>[4,8,2,6,7,1,5,3]=>[3,5,1,7,6,2,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>14 [3,4,6,2,7,8,5,1]=>[6,3,4,7,8,2,5,1]=>[1,5,2,8,7,4,3,6]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [5,6,1,4,8,2,7,3]=>[5,6,1,4,8,2,7,3]=>[3,7,2,8,4,1,6,5]=>[[1,2,4],[3,5,7],[6,8]]=>14 [5,6,3,1,8,7,2,4]=>[1,5,8,3,6,2,7,4]=>[4,7,2,6,3,8,5,1]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [3,5,6,4,7,1,8,2]=>[5,6,3,4,1,7,8,2]=>[2,8,7,1,4,3,6,5]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [3,4,6,1,5,7,8,2]=>[3,4,6,1,5,7,8,2]=>[2,8,7,5,1,6,4,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [3,8,2,7,6,1,5,4]=>[8,7,3,2,6,5,1,4]=>[4,1,5,6,2,3,7,8]=>[[1,3,4,7,8],[2,5,6]]=>17 [3,8,2,7,6,5,1,4]=>[8,7,3,6,5,2,1,4]=>[4,1,2,5,6,3,7,8]=>[[1,3,4,5,7,8],[2,6]]=>18 [4,8,7,2,6,5,3,1]=>[8,4,7,6,2,5,3,1]=>[1,3,5,2,6,7,4,8]=>[[1,2,3,5,6,8],[4,7]]=>21 [4,8,7,2,6,5,1,3]=>[8,4,7,6,2,1,5,3]=>[3,5,1,2,6,7,4,8]=>[[1,2,5,6,8],[3,4,7]]=>20 [4,8,7,2,6,1,5,3]=>[8,4,2,7,6,1,5,3]=>[3,5,1,6,7,2,4,8]=>[[1,2,4,5,8],[3,6,7]]=>19 [4,8,7,2,1,6,5,3]=>[4,8,2,7,6,1,5,3]=>[3,5,1,6,7,2,8,4]=>[[1,2,4,5,7],[3,6,8]]=>18 [4,8,7,3,1,6,5,2]=>[1,4,8,7,6,3,5,2]=>[2,5,3,6,7,8,4,1]=>[[1,2,4,5,6],[3,7],[8]]=>19 [4,8,7,3,2,1,6,5]=>[4,3,2,8,7,6,1,5]=>[5,1,6,7,8,2,3,4]=>[[1,3,4,5],[2,6,7,8]]=>18 [4,8,7,3,2,6,1,5]=>[4,3,8,7,6,2,1,5]=>[5,1,2,6,7,8,3,4]=>[[1,3,4,5,6],[2,7,8]]=>19 [4,8,7,3,2,6,5,1]=>[4,3,8,7,6,2,5,1]=>[1,5,2,6,7,8,3,4]=>[[1,2,4,5,6],[3,7,8]]=>20 [4,8,7,3,6,2,5,1]=>[4,8,7,6,3,2,5,1]=>[1,5,2,3,6,7,8,4]=>[[1,2,4,5,6,7],[3,8]]=>21 [4,8,7,3,6,2,1,5]=>[4,8,7,6,3,2,1,5]=>[5,1,2,3,6,7,8,4]=>[[1,3,4,5,6,7],[2,8]]=>20 [4,8,7,3,6,1,5,2]=>[4,3,8,7,6,1,5,2]=>[2,5,1,6,7,8,3,4]=>[[1,2,4,5,6],[3,7,8]]=>20 [4,8,7,3,6,5,1,2]=>[4,8,7,6,3,1,5,2]=>[2,5,1,3,6,7,8,4]=>[[1,2,5,6,7],[3,4,8]]=>21 [4,8,7,3,6,5,2,1]=>[4,8,7,6,3,5,2,1]=>[1,2,5,3,6,7,8,4]=>[[1,2,3,5,6,7],[4,8]]=>22 [5,8,7,6,3,4,2,1]=>[8,7,5,3,6,4,2,1]=>[1,2,4,6,3,5,7,8]=>[[1,2,3,4,7,8],[5,6]]=>24 [5,8,7,6,3,1,4,2]=>[1,8,7,5,3,6,4,2]=>[2,4,6,3,5,7,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>22 [5,8,7,6,3,2,4,1]=>[8,7,5,3,2,6,4,1]=>[1,4,6,2,3,5,7,8]=>[[1,2,3,6,7,8],[4,5]]=>23 [5,8,7,6,2,1,4,3]=>[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[[1,2,3,5,6],[4,7,8]]=>21 [5,8,7,6,4,2,3,1]=>[8,7,5,2,6,4,3,1]=>[1,3,4,6,2,5,7,8]=>[[1,2,3,4,7,8],[5,6]]=>24 [5,8,7,6,4,1,3,2]=>[5,8,7,1,6,4,3,2]=>[2,3,4,6,1,7,8,5]=>[[1,2,3,4,6,7],[5,8]]=>23 [5,8,7,6,4,3,1,2]=>[8,7,5,1,6,4,3,2]=>[2,3,4,6,1,5,7,8]=>[[1,2,3,4,7,8],[5,6]]=>24 [7,3,4,2,1,6,5,8]=>[3,4,2,7,1,6,5,8]=>[8,5,6,1,7,2,4,3]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [7,3,5,2,6,4,1,8]=>[3,2,7,5,6,4,1,8]=>[8,1,4,6,5,7,2,3]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [6,3,5,2,7,4,8,1]=>[6,3,2,5,7,4,8,1]=>[1,8,4,7,5,2,3,6]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [7,4,5,6,1,3,2,8]=>[4,1,5,7,6,3,2,8]=>[8,2,3,6,7,5,1,4]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [1,4,6,7,3,8,2,5]=>[6,7,4,8,3,1,2,5]=>[5,2,1,3,8,4,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>11 [6,4,5,7,3,1,8,2]=>[4,6,5,1,7,3,8,2]=>[2,8,3,7,1,5,6,4]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [6,4,5,7,1,3,8,2]=>[4,1,6,5,7,3,8,2]=>[2,8,3,7,5,6,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [6,2,1,5,7,4,8,3]=>[6,2,5,7,1,4,8,3]=>[3,8,4,1,7,5,2,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [3,2,1,5,7,4,8,6]=>[3,7,2,5,8,1,4,6]=>[6,4,1,8,5,2,7,3]=>[[1,4,7],[2,5,8],[3,6]]=>7 [2,4,6,7,3,8,1,5]=>[6,7,4,8,2,3,1,5]=>[5,1,3,2,8,4,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>12 [1,4,6,7,3,8,5,2]=>[6,7,4,8,3,5,1,2]=>[2,1,5,3,8,4,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>12 [1,5,6,7,8,3,4,2]=>[5,6,7,3,8,4,1,2]=>[2,1,4,8,3,7,6,5]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [3,2,1,6,7,8,4,5]=>[3,6,7,8,2,1,4,5]=>[5,4,1,2,8,7,6,3]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [5,2,1,6,7,8,4,3]=>[2,5,6,7,8,1,4,3]=>[3,4,1,8,7,6,5,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [5,3,6,1,7,8,4,2]=>[3,1,5,6,7,8,4,2]=>[2,4,8,7,6,5,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [5,4,6,7,1,8,3,2]=>[5,4,1,6,7,8,3,2]=>[2,3,8,7,6,1,4,5]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [6,4,5,7,2,1,8,3]=>[4,6,5,2,1,7,8,3]=>[3,8,7,1,2,5,6,4]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [5,3,6,2,7,8,4,1]=>[3,5,2,6,7,8,4,1]=>[1,4,8,7,6,2,5,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [6,3,5,2,7,1,8,4]=>[6,3,2,5,1,7,8,4]=>[4,8,7,1,5,2,3,6]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [6,3,4,2,1,7,8,5]=>[3,4,2,1,6,7,8,5]=>[5,8,7,6,1,2,4,3]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [5,3,4,1,2,7,8,6]=>[3,1,5,4,7,8,2,6]=>[6,2,8,7,4,5,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [1,3,6,2,7,8,5,4]=>[3,6,7,8,5,1,2,4]=>[4,2,1,5,8,7,6,3]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [1,4,6,7,2,8,5,3]=>[6,4,7,8,1,5,2,3]=>[3,2,5,1,8,7,4,6]=>[[1,3,5],[2,6,8],[4,7]]=>11 [3,4,6,7,2,8,5,1]=>[6,7,3,4,8,2,5,1]=>[1,5,2,8,4,3,7,6]=>[[1,2,4,7],[3,5],[6,8]]=>14 [4,2,1,6,7,8,3,5]=>[2,4,6,7,1,8,3,5]=>[5,3,8,1,7,6,4,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>10 [4,3,6,1,7,8,2,5]=>[4,6,3,7,1,8,2,5]=>[5,2,8,1,7,3,6,4]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [1,5,6,7,8,2,4,3]=>[5,6,1,7,8,4,2,3]=>[3,2,4,8,7,1,6,5]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [3,4,6,7,1,8,5,2]=>[6,3,4,7,8,1,5,2]=>[2,5,1,8,7,4,3,6]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [4,3,6,1,7,8,5,2]=>[4,3,6,7,8,1,5,2]=>[2,5,1,8,7,6,3,4]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [2,3,6,1,7,8,5,4]=>[2,6,7,8,3,5,1,4]=>[4,1,5,3,8,7,6,2]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [2,4,6,7,1,8,5,3]=>[6,7,4,8,2,5,1,3]=>[3,1,5,2,8,4,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>12 [2,1,4,3,6,5,8,7,9]=>[2,4,6,8,1,3,5,7,9]=>[9,7,5,3,1,8,6,4,2]=>[[1,6],[2,7],[3,8],[4,9],[5]]=>4 [1,3,2,5,4,7,6,9,8,10]=>[3,5,7,9,1,2,4,6,8,10]=>[10,8,6,4,2,1,9,7,5,3]=>[[1,7],[2,8],[3,9],[4,10],[5],[6]]=>4 [1,4,3,6,2,5,7,8]=>[4,6,3,1,2,5,7,8]=>[8,7,5,2,1,3,6,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [1,4,3,7,2,5,6,8]=>[7,4,3,1,2,5,6,8]=>[8,6,5,2,1,3,4,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [1,4,3,7,5,8,2,6]=>[7,4,8,3,5,1,2,6]=>[6,2,1,5,3,8,4,7]=>[[1,4,6,8],[2,5,7],[3]]=>9 [1,4,3,7,2,6,5,8]=>[7,4,3,6,1,2,5,8]=>[8,5,2,1,6,3,4,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,5,3,7,4,8,2,6]=>[5,3,7,8,4,1,2,6]=>[6,2,1,4,8,7,3,5]=>[[1,4,5],[2,6,8],[3,7]]=>10 [1,2,3,6,5,8,4,7]=>[6,8,5,1,2,3,4,7]=>[7,4,3,2,1,5,8,6]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [3,7,8,4,5,2,6,1]=>[3,7,4,8,5,2,6,1]=>[1,6,2,5,8,4,7,3]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [7,8,1,4,5,3,6,2]=>[4,7,5,1,3,8,6,2]=>[2,6,8,3,1,5,7,4]=>[[1,2,3,7],[4,6],[5,8]]=>18 [3,8,7,4,1,6,5,2]=>[3,8,1,7,6,4,5,2]=>[2,5,4,6,7,1,8,3]=>[[1,2,4,5,7],[3,8],[6]]=>18 [5,8,3,1,6,4,7,2]=>[1,3,5,8,6,4,7,2]=>[2,7,4,6,8,5,3,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>16 [7,5,1,8,6,2,4,3]=>[7,1,5,8,2,6,4,3]=>[3,4,6,2,8,5,1,7]=>[[1,2,3,5],[4,6,8],[7]]=>18 [7,4,1,8,2,6,3,5]=>[1,4,7,2,8,3,6,5]=>[5,6,3,8,2,7,4,1]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [7,1,8,4,2,6,3,5]=>[7,4,1,2,8,3,6,5]=>[5,6,3,8,2,1,4,7]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [1,6,3,8,5,2,4,7]=>[6,8,1,5,3,2,4,7]=>[7,4,2,3,5,1,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [6,1,3,8,5,2,4,7]=>[6,8,1,3,2,5,4,7]=>[7,4,5,2,3,1,8,6]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [7,1,8,3,6,2,5,4]=>[7,1,8,3,6,2,5,4]=>[4,5,2,6,3,8,1,7]=>[[1,2,4,6],[3,5,8],[7]]=>16 [7,3,1,8,4,2,6,5]=>[3,7,1,4,8,2,6,5]=>[5,6,2,8,4,1,7,3]=>[[1,2,4],[3,5,7],[6,8]]=>14 [7,2,8,4,1,6,5,3]=>[2,1,7,8,6,4,5,3]=>[3,5,4,6,8,7,1,2]=>[[1,2,4,5],[3,6],[7,8]]=>17 [7,2,8,3,6,5,1,4]=>[7,8,2,6,3,1,5,4]=>[4,5,1,3,6,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>18 [7,2,8,3,6,1,5,4]=>[7,2,3,8,6,1,5,4]=>[4,5,1,6,8,3,2,7]=>[[1,2,4,5],[3,6,8],[7]]=>17 [7,1,8,2,3,6,5,4]=>[7,8,1,2,6,3,5,4]=>[4,5,3,6,2,1,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [1,5,2,3,8,4,7,6]=>[5,8,1,2,7,3,4,6]=>[6,4,3,7,2,1,8,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [5,1,2,3,8,4,7,6]=>[5,8,1,2,3,7,4,6]=>[6,4,7,3,2,1,8,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [5,2,3,8,1,4,7,6]=>[5,2,3,8,1,7,4,6]=>[6,4,7,1,8,3,2,5]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [2,6,3,8,7,1,5,4]=>[8,6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6,8]=>[[1,3,4,8],[2,5,7],[6]]=>14 [2,6,3,8,5,1,4,7]=>[2,6,8,5,3,1,4,7]=>[7,4,1,3,5,8,6,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [2,5,1,8,3,4,7,6]=>[5,2,8,1,7,3,4,6]=>[6,4,3,7,1,8,2,5]=>[[1,4,6],[2,7,8],[3],[5]]=>9 [2,4,8,3,7,1,6,5]=>[8,7,2,4,3,6,1,5]=>[5,1,6,3,4,2,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>13 [2,5,3,8,1,7,4,6]=>[5,8,2,7,3,1,4,6]=>[6,4,1,3,7,2,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [3,1,5,4,8,2,7,6]=>[8,5,1,3,4,7,2,6]=>[6,2,7,4,3,1,5,8]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [5,3,1,4,8,2,7,6]=>[5,1,3,8,4,7,2,6]=>[6,2,7,4,8,3,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [5,2,3,8,4,7,1,6]=>[5,8,2,3,7,4,1,6]=>[6,1,4,7,3,2,8,5]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [4,8,2,3,7,6,1,5]=>[8,2,4,7,6,3,1,5]=>[5,1,3,6,7,4,2,8]=>[[1,3,4,5,8],[2,6],[7]]=>16 [1,4,8,2,3,7,6,5]=>[8,1,4,7,6,2,3,5]=>[5,3,2,6,7,4,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [5,1,3,8,2,4,7,6]=>[5,3,8,1,2,7,4,6]=>[6,4,7,2,1,8,3,5]=>[[1,3,6],[2,7,8],[4],[5]]=>10 [1,5,3,8,2,4,7,6]=>[5,1,8,3,7,2,4,6]=>[6,4,2,7,3,8,1,5]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [1,5,4,8,2,7,6,3]=>[5,8,4,7,1,6,2,3]=>[3,2,6,1,7,4,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>12 [5,1,4,8,2,7,6,3]=>[5,8,4,7,1,2,6,3]=>[3,6,2,1,7,4,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>13 [5,4,8,1,2,7,6,3]=>[1,5,8,4,7,2,6,3]=>[3,6,2,7,4,8,5,1]=>[[1,2,4,6],[3,5,7],[8]]=>15 [5,1,6,2,8,7,4,3]=>[8,1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [4,1,5,8,2,7,6,3]=>[8,4,5,7,1,2,6,3]=>[3,6,2,1,7,5,4,8]=>[[1,2,5,8],[3,6],[4,7]]=>12 [4,1,2,5,8,7,6,3]=>[8,7,1,2,4,5,6,3]=>[3,6,5,4,2,1,7,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>10 [3,5,1,2,8,7,4,6]=>[5,8,3,1,7,2,4,6]=>[6,4,2,7,1,3,8,5]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [3,6,2,8,7,5,1,4]=>[8,3,6,7,5,2,1,4]=>[4,1,2,5,7,6,3,8]=>[[1,3,4,5,8],[2,6],[7]]=>16 [4,2,6,1,8,7,3,5]=>[4,8,2,6,1,7,3,5]=>[5,3,7,1,6,2,8,4]=>[[1,3,7],[2,5,8],[4,6]]=>12 [4,3,1,5,8,2,7,6]=>[4,1,8,3,5,7,2,6]=>[6,2,7,5,3,8,1,4]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [3,4,8,1,7,2,6,5]=>[3,4,8,7,1,6,2,5]=>[5,2,6,1,7,8,4,3]=>[[1,3,5,6],[2,7],[4,8]]=>13 [1,3,4,8,7,2,6,5]=>[3,8,7,4,6,1,2,5]=>[5,2,1,6,4,7,8,3]=>[[1,4,6,7],[2,5],[3,8]]=>10 [3,4,8,1,2,7,6,5]=>[3,8,1,7,4,6,2,5]=>[5,2,6,4,7,1,8,3]=>[[1,3,5,7],[2,4],[6,8]]=>12 [4,2,5,8,1,7,6,3]=>[8,2,4,5,7,1,6,3]=>[3,6,1,7,5,4,2,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [2,3,5,1,8,7,6,4]=>[8,5,7,2,3,6,1,4]=>[4,1,6,3,2,7,5,8]=>[[1,3,6,8],[2,4,7],[5]]=>10 [7,8,2,1,5,3,6,4]=>[7,2,1,3,5,8,6,4]=>[4,6,8,5,3,1,2,7]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [6,4,1,2,7,3,5,8]=>[1,2,4,6,3,7,5,8]=>[8,5,7,3,6,4,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>10 [2,3,7,5,4,1,8,6]=>[7,2,5,3,4,8,1,6]=>[6,1,8,4,3,5,2,7]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [6,3,1,5,4,2,7,8]=>[6,1,3,5,4,2,7,8]=>[8,7,2,4,5,3,1,6]=>[[1,4,5,8],[2],[3],[6],[7]]=>10 [6,2,1,5,4,7,3,8]=>[6,2,5,1,4,7,3,8]=>[8,3,7,4,1,5,2,6]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [5,3,6,2,4,7,1,8]=>[3,5,2,6,4,7,1,8]=>[8,1,7,4,6,2,5,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [4,3,7,5,8,6,1,2]=>[7,4,8,3,5,1,6,2]=>[2,6,1,5,3,8,4,7]=>[[1,2,6,8],[3,4,7],[5]]=>16 [4,2,7,1,8,3,6,5]=>[4,7,2,8,1,6,3,5]=>[5,3,6,1,8,2,7,4]=>[[1,3,5],[2,6,7],[4,8]]=>12 [3,2,6,7,4,8,1,5]=>[6,7,3,8,2,4,1,5]=>[5,1,4,2,8,3,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>12 [1,7,6,5,3,8,4,2]=>[3,7,6,5,8,4,1,2]=>[2,1,4,8,5,6,7,3]=>[[1,3,4,6,7],[2,5],[8]]=>16 [2,7,6,5,3,8,1,4]=>[2,7,6,5,8,3,1,4]=>[4,1,3,8,5,6,7,2]=>[[1,3,4,6,7],[2,5],[8]]=>16 [1,7,6,5,2,4,8,3]=>[7,1,6,5,4,8,2,3]=>[3,2,8,4,5,6,1,7]=>[[1,3,5,6,8],[2,4],[7]]=>14 [2,7,6,5,3,1,4,8]=>[2,7,6,5,3,1,4,8]=>[8,4,1,3,5,6,7,2]=>[[1,4,5,6,7],[2],[3],[8]]=>14 [5,7,6,3,8,4,1,2]=>[7,5,3,6,1,8,4,2]=>[2,4,8,1,6,3,5,7]=>[[1,2,3,8],[4,5,7],[6]]=>20 [4,7,6,5,2,1,3,8]=>[7,6,4,2,1,5,3,8]=>[8,3,5,1,2,4,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>16 [4,7,6,5,2,8,1,3]=>[7,6,4,2,5,1,8,3]=>[3,8,1,5,2,4,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>18 [4,7,6,5,1,8,3,2]=>[4,7,6,1,5,8,3,2]=>[2,3,8,5,1,6,7,4]=>[[1,2,3,6,7],[4,8],[5]]=>18 [4,7,6,5,1,2,8,3]=>[1,7,6,4,2,5,8,3]=>[3,8,5,2,4,6,7,1]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [6,1,3,5,4,8,7,2]=>[6,1,5,8,3,4,7,2]=>[2,7,4,3,8,5,1,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [5,2,6,3,4,1,7,8]=>[5,2,3,6,4,1,7,8]=>[8,7,1,4,6,3,2,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [5,1,6,2,4,7,8,3]=>[1,5,6,2,4,7,8,3]=>[3,8,7,4,2,6,5,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [1,2,6,3,4,8,7,5]=>[8,1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [1,7,2,4,8,3,6,5]=>[7,1,8,2,4,6,3,5]=>[5,3,6,4,2,8,1,7]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [6,1,4,2,8,3,5,7]=>[4,1,6,2,3,8,5,7]=>[7,5,8,3,2,6,1,4]=>[[1,3],[2,6],[4,8],[5],[7]]=>10 [4,7,2,1,5,3,6,8]=>[2,1,4,7,5,3,6,8]=>[8,6,3,5,7,4,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [4,7,1,6,2,3,8,5]=>[1,4,2,7,6,8,3,5]=>[5,3,8,6,7,2,4,1]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [1,7,2,6,8,3,5,4]=>[1,7,6,8,2,5,3,4]=>[4,3,5,2,8,6,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [3,1,6,7,4,2,8,5]=>[6,3,7,1,4,8,2,5]=>[5,2,8,4,1,7,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>10 [3,2,8,5,4,6,1,7]=>[3,8,2,5,4,6,1,7]=>[7,1,6,4,5,2,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [4,7,6,3,5,8,1,2]=>[7,6,4,3,5,1,8,2]=>[2,8,1,5,3,4,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>18 [4,7,1,2,5,3,8,6]=>[1,2,4,7,5,8,3,6]=>[6,3,8,5,7,4,2,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [3,7,6,5,2,4,1,8]=>[7,6,5,3,2,4,1,8]=>[8,1,4,2,3,5,6,7]=>[[1,3,5,6,7,8],[2],[4]]=>16 [3,7,6,5,1,4,8,2]=>[3,7,6,5,1,4,8,2]=>[2,8,4,1,5,6,7,3]=>[[1,2,5,6,7],[3,8],[4]]=>16 [3,7,6,5,2,1,8,4]=>[7,6,5,3,2,8,1,4]=>[4,1,8,2,3,5,6,7]=>[[1,3,5,6,7,8],[2,4]]=>16 [1,7,6,5,8,2,4,3]=>[1,7,6,5,8,4,2,3]=>[3,2,4,8,5,6,7,1]=>[[1,3,4,6,7],[2,5],[8]]=>16 [3,7,6,5,8,1,4,2]=>[7,6,5,3,8,1,4,2]=>[2,4,1,8,3,5,6,7]=>[[1,2,4,7,8],[3,5,6]]=>18 [3,7,6,5,1,2,4,8]=>[1,7,6,5,3,2,4,8]=>[8,4,2,3,5,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>14 [2,7,6,5,1,4,3,8]=>[2,7,6,5,4,1,3,8]=>[8,3,1,4,5,6,7,2]=>[[1,4,5,6,7],[2,8],[3]]=>14 [2,7,6,5,8,4,1,3]=>[7,6,5,8,4,2,1,3]=>[3,1,2,4,8,5,6,7]=>[[1,3,4,5,7,8],[2,6]]=>18 [6,3,2,1,7,4,8,5]=>[3,2,6,1,4,7,8,5]=>[5,8,7,4,1,6,2,3]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [4,3,7,2,1,5,8,6]=>[7,4,3,2,8,1,5,6]=>[6,5,1,8,2,3,4,7]=>[[1,4,6,7,8],[2,5],[3]]=>11 [6,3,7,4,2,1,8,5]=>[6,3,4,2,1,7,8,5]=>[5,8,7,1,2,4,3,6]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [7,5,4,3,2,1,8,6]=>[5,4,3,2,1,7,8,6]=>[6,8,7,1,2,3,4,5]=>[[1,2,6,7,8],[3,5],[4]]=>17 [8,5,3,2,1,7,6,4]=>[3,2,8,1,5,7,6,4]=>[4,6,7,5,1,8,2,3]=>[[1,2,3,6],[4,7,8],[5]]=>17 [4,6,3,2,8,1,5,7]=>[6,4,8,3,2,1,5,7]=>[7,5,1,2,3,8,4,6]=>[[1,4,5,6,8],[2,7],[3]]=>13 [5,7,4,3,2,8,1,6]=>[7,5,4,3,8,2,1,6]=>[6,1,2,8,3,4,5,7]=>[[1,3,4,6,7,8],[2,5]]=>17 [2,7,3,6,4,8,1,5]=>[2,7,3,6,8,4,1,5]=>[5,1,4,8,6,3,7,2]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [6,2,7,5,3,8,1,4]=>[6,2,7,3,5,1,8,4]=>[4,8,1,5,3,7,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [7,1,8,5,3,6,4,2]=>[1,7,5,8,6,3,4,2]=>[2,4,3,6,8,5,7,1]=>[[1,2,4,5],[3,6,7],[8]]=>18 [8,7,3,1,6,5,4,2]=>[8,7,1,3,6,5,4,2]=>[2,4,5,6,3,1,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>21 [8,7,2,6,1,5,4,3]=>[8,2,7,6,1,5,4,3]=>[3,4,5,1,6,7,2,8]=>[[1,2,3,5,6,8],[4,7]]=>21 [1,8,5,7,2,4,6,3]=>[5,1,8,4,7,6,2,3]=>[3,2,6,7,4,8,1,5]=>[[1,3,4,6],[2,5,8],[7]]=>15 [3,8,6,1,7,2,5,4]=>[3,1,6,8,7,5,2,4]=>[4,2,5,7,8,6,1,3]=>[[1,3,4,5],[2,6],[7,8]]=>16 [7,2,8,5,6,1,4,3]=>[7,5,2,8,6,1,4,3]=>[3,4,1,6,8,2,5,7]=>[[1,2,4,5],[3,6,7,8]]=>19 [6,3,7,5,8,2,1,4]=>[6,7,3,5,2,1,8,4]=>[4,8,1,2,5,3,7,6]=>[[1,2,5,7],[3,4,8],[6]]=>18 [3,7,2,6,8,4,1,5]=>[7,3,6,2,8,4,1,5]=>[5,1,4,8,2,6,3,7]=>[[1,3,4,8],[2,6],[5,7]]=>15 [2,6,5,8,4,1,3,7]=>[6,8,5,4,2,1,3,7]=>[7,3,1,2,4,5,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>14 [6,5,4,8,3,2,1,7]=>[6,5,8,4,3,2,1,7]=>[7,1,2,3,4,8,5,6]=>[[1,3,4,5,6,8],[2,7]]=>19 [8,4,3,7,2,1,6,5]=>[8,4,3,2,7,1,6,5]=>[5,6,1,7,2,3,4,8]=>[[1,2,4,7,8],[3,5,6]]=>18 [8,2,4,7,1,3,6,5]=>[4,2,8,7,1,3,6,5]=>[5,6,3,1,7,8,2,4]=>[[1,2,5,6],[3,7,8],[4]]=>15 [8,4,1,5,7,3,6,2]=>[8,4,5,1,3,7,6,2]=>[2,6,7,3,1,5,4,8]=>[[1,2,3,8],[4,6],[5,7]]=>17 [6,4,2,5,8,3,1,7]=>[2,4,6,8,5,3,1,7]=>[7,1,3,5,8,6,4,2]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [5,4,1,6,8,2,3,7]=>[5,8,1,4,2,6,3,7]=>[7,3,6,2,4,1,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [6,5,2,1,7,8,3,4]=>[2,6,1,5,7,3,8,4]=>[4,8,3,7,5,1,6,2]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [6,3,7,4,8,5,2,1]=>[6,3,4,7,8,5,2,1]=>[1,2,5,8,7,4,3,6]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [4,7,2,5,8,6,3,1]=>[7,4,8,2,5,6,3,1]=>[1,3,6,5,2,8,4,7]=>[[1,2,3,6],[4,7,8],[5]]=>17 [6,4,2,8,7,3,5,1]=>[8,2,4,6,3,7,5,1]=>[1,5,7,3,6,4,2,8]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [6,5,3,8,7,4,1,2]=>[3,6,8,5,1,7,4,2]=>[2,4,7,1,5,8,6,3]=>[[1,2,3,6],[4,5,7],[8]]=>20 [8,5,3,7,6,4,2,1]=>[8,3,5,7,6,4,2,1]=>[1,2,4,6,7,5,3,8]=>[[1,2,3,4,5,8],[6],[7]]=>23 [5,4,8,1,7,6,2,3]=>[5,8,4,1,7,2,6,3]=>[3,6,2,7,1,4,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>17 [5,2,8,1,7,3,6,4]=>[8,5,2,7,1,3,6,4]=>[4,6,3,1,7,2,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>14 [3,6,8,1,4,7,5,2]=>[3,6,8,1,7,4,5,2]=>[2,5,4,7,1,8,6,3]=>[[1,2,4,6],[3,7],[5,8]]=>15 [8,2,7,6,5,1,4,3]=>[2,8,7,6,5,1,4,3]=>[3,4,1,5,6,7,8,2]=>[[1,2,4,5,6,7],[3,8]]=>21 [4,3,8,7,6,2,1,5]=>[8,7,4,6,3,2,1,5]=>[5,1,2,3,6,4,7,8]=>[[1,3,4,5,7,8],[2,6]]=>18 [2,4,8,7,6,1,3,5]=>[8,7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>15 [4,7,3,8,6,5,1,2]=>[4,7,8,6,3,1,5,2]=>[2,5,1,3,6,8,7,4]=>[[1,2,5,6],[3,4,7],[8]]=>19 [7,5,8,6,4,3,2,1]=>[5,7,8,6,4,3,2,1]=>[1,2,3,4,6,8,7,5]=>[[1,2,3,4,5,6],[7],[8]]=>25 [3,8,7,6,5,1,4,2]=>[3,8,7,6,5,1,4,2]=>[2,4,1,5,6,7,8,3]=>[[1,2,4,5,6,7],[3,8]]=>21 [2,8,7,6,5,4,1,3]=>[8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>21 [3,4,1,2,5,6,7,8,9]=>[3,1,4,2,5,6,7,8,9]=>[9,8,7,6,5,2,4,1,3]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>4 [3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,2,3]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>3 [4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[9,8,7,6,5,1,2,3,4]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>6 [5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>10 [6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[9,8,7,1,2,3,4,5,6]=>[[1,5,6,7,8,9],[2],[3],[4]]=>15 [7,8,5,6,3,4,1,2,9]=>[7,5,3,1,8,6,4,2,9]=>[9,2,4,6,8,1,3,5,7]=>[[1,3,4,5],[2,7,8,9],[6]]=>24 [7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,6,7]=>[[1,4,5,6,7,8,9],[2],[3]]=>21 [3,4,1,2,5,6,7,8,9,10]=>[3,1,4,2,5,6,7,8,9,10]=>[10,9,8,7,6,5,2,4,1,3]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>4 [3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,1,2,3]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>3 [4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,2,3,4]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>6 [5,6,7,8,1,2,3,4,9,10]=>[5,1,6,2,7,3,8,4,9,10]=>[10,9,4,8,3,7,2,6,1,5]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>16 [5,6,3,4,1,2,7,8,9,10]=>[5,3,1,6,4,2,7,8,9,10]=>[10,9,8,7,2,4,6,1,3,5]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>12 [5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[10,9,8,7,6,1,2,3,4,5]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>10 [6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[10,9,8,7,1,2,3,4,5,6]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>15 [7,8,5,6,3,4,1,2,9,10]=>[7,5,3,1,8,6,4,2,9,10]=>[10,9,2,4,6,8,1,3,5,7]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>24 [7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[10,9,8,1,2,3,4,5,6,7]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>21 [8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[10,9,1,2,3,4,5,6,7,8]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>28 [5,1,2,6,4,3,8,7]=>[5,6,1,2,4,8,3,7]=>[7,3,8,4,2,1,6,5]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [6,1,2,5,4,3,8,7]=>[6,5,1,2,4,8,3,7]=>[7,3,8,4,2,1,5,6]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [4,1,2,6,5,3,8,7]=>[6,1,2,4,5,8,3,7]=>[7,3,8,5,4,2,1,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [4,1,5,7,8,3,2,6]=>[7,8,4,5,1,3,2,6]=>[6,2,3,1,5,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>12 [4,1,5,8,7,3,2,6]=>[8,7,4,5,1,3,2,6]=>[6,2,3,1,5,4,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>13 [7,5,3,8,1,4,2,6]=>[3,1,5,7,4,2,8,6]=>[6,8,2,4,7,5,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [2,1,5,8,7,3,4,6]=>[8,7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>10 [7,1,2,3,8,6,5,4]=>[7,8,6,1,2,3,5,4]=>[4,5,3,2,1,6,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [7,1,2,3,5,8,6,4]=>[1,7,8,2,3,5,6,4]=>[4,6,5,3,2,8,7,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [8,7,3,2,4,1,6,5]=>[3,2,4,8,1,7,6,5]=>[5,6,7,1,8,4,2,3]=>[[1,2,3,5],[4,6,8],[7]]=>18 [2,1,7,3,4,8,6,5]=>[2,7,8,1,6,3,4,5]=>[5,4,3,6,1,8,7,2]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [7,8,3,2,4,1,6,5]=>[3,2,4,1,7,8,6,5]=>[5,6,8,7,1,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [7,1,2,3,6,8,5,4]=>[7,6,8,1,2,3,5,4]=>[4,5,3,2,1,8,6,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [6,7,2,8,3,4,1,5]=>[6,2,3,7,4,1,8,5]=>[5,8,1,4,7,3,2,6]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [3,8,7,1,4,2,6,5]=>[1,3,4,8,7,6,2,5]=>[5,2,6,7,8,4,3,1]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [3,6,8,1,4,2,7,5]=>[1,3,8,6,4,7,2,5]=>[5,2,7,4,6,8,3,1]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [3,5,7,8,2,4,1,6]=>[7,8,5,3,2,4,1,6]=>[6,1,4,2,3,5,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>15 [7,6,2,8,3,1,4,5]=>[2,7,3,1,6,4,8,5]=>[5,8,4,6,1,3,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [8,6,2,7,3,1,4,5]=>[2,6,3,1,4,8,7,5]=>[5,7,8,4,1,3,6,2]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [8,1,7,5,4,3,2,6]=>[8,5,4,1,3,2,7,6]=>[6,7,2,3,1,4,5,8]=>[[1,2,6,7,8],[3,4],[5]]=>18 [8,1,7,4,5,3,2,6]=>[4,8,5,1,3,2,7,6]=>[6,7,2,3,1,5,8,4]=>[[1,2,6,7],[3,4],[5,8]]=>17 [6,7,3,2,4,1,8,5]=>[3,2,6,4,1,7,8,5]=>[5,8,7,1,4,6,2,3]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [8,7,2,4,3,6,1,5]=>[4,8,2,3,1,7,6,5]=>[5,6,7,1,3,2,8,4]=>[[1,2,3,7],[4,5,8],[6]]=>19 [7,1,2,3,5,6,8,4]=>[1,7,2,3,5,6,8,4]=>[4,8,6,5,3,2,7,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>9 [5,1,2,3,7,8,6,4]=>[7,8,1,2,3,5,6,4]=>[4,6,5,3,2,1,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [5,1,2,3,8,6,7,4]=>[1,8,2,3,5,6,7,4]=>[4,7,6,5,3,2,8,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>9 [8,6,2,4,3,1,7,5]=>[4,2,3,1,6,8,7,5]=>[5,7,8,6,1,3,2,4]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [7,6,3,2,4,8,1,5]=>[3,2,4,7,6,1,8,5]=>[5,8,1,6,7,4,2,3]=>[[1,2,5],[3,4,8],[6],[7]]=>17 [2,1,6,3,4,8,7,5]=>[2,8,1,6,7,3,4,5]=>[5,4,3,7,6,1,8,2]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [7,6,2,4,3,1,8,5]=>[4,2,3,1,7,6,8,5]=>[5,8,6,7,1,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [6,1,2,3,5,7,8,4]=>[6,1,2,3,5,7,8,4]=>[4,8,7,5,3,2,1,6]=>[[1,2,8],[3],[4],[5],[6],[7]]=>8 [5,1,2,3,6,8,7,4]=>[8,1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>8 [7,8,1,2,6,3,5,4]=>[1,7,8,2,3,6,5,4]=>[4,5,6,3,2,8,7,1]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [1,4,8,2,7,3,5,6]=>[1,8,7,2,4,3,5,6]=>[6,5,3,4,2,7,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>10 [1,3,8,5,4,2,7,6]=>[5,3,4,8,7,1,2,6]=>[6,2,1,7,8,4,3,5]=>[[1,4,5],[2,6,8],[3,7]]=>10 [2,3,6,8,4,7,1,5]=>[6,8,2,7,3,4,1,5]=>[5,1,4,3,7,2,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [1,3,6,8,4,7,5,2]=>[6,8,3,7,4,5,1,2]=>[2,1,5,4,7,3,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>12 [2,4,8,1,7,3,6,5]=>[8,4,2,7,6,1,3,5]=>[5,3,1,6,7,2,4,8]=>[[1,4,5,8],[2,6,7],[3]]=>12 [3,4,8,5,7,6,1,2]=>[8,3,7,4,5,1,6,2]=>[2,6,1,5,4,7,3,8]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [1,2,6,8,4,5,7,3]=>[4,8,6,5,7,1,2,3]=>[3,2,1,7,5,6,8,4]=>[[1,4,6,7],[2,5],[3,8]]=>10 [7,4,6,1,5,2,3,8]=>[4,1,7,2,6,5,3,8]=>[8,3,5,6,2,7,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [7,1,4,2,6,3,5,8]=>[4,1,7,2,3,6,5,8]=>[8,5,6,3,2,7,1,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [6,8,1,4,7,2,3,5]=>[6,1,8,2,4,3,7,5]=>[5,7,3,4,2,8,1,6]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [1,6,3,8,5,4,2,7]=>[3,6,8,5,4,1,2,7]=>[7,2,1,4,5,8,6,3]=>[[1,4,5,6],[2,7],[3,8]]=>12 [6,8,1,7,3,5,4,2]=>[6,8,1,7,3,5,4,2]=>[2,4,5,3,7,1,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>19 [7,3,1,6,5,4,2,8]=>[7,6,1,3,5,4,2,8]=>[8,2,4,5,3,1,6,7]=>[[1,3,4,7,8],[2],[5],[6]]=>14 [7,2,1,4,6,3,5,8]=>[7,2,4,1,3,6,5,8]=>[8,5,6,3,1,4,2,7]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [7,2,3,6,5,1,4,8]=>[7,6,2,3,1,5,4,8]=>[8,4,5,1,3,2,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [7,1,2,3,6,5,4,8]=>[7,6,1,2,3,5,4,8]=>[8,4,5,3,2,1,6,7]=>[[1,3,7,8],[2],[4],[5],[6]]=>9 [5,8,2,7,6,3,4,1]=>[8,5,2,7,3,6,4,1]=>[1,4,6,3,7,2,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>20 [6,8,2,1,7,4,3,5]=>[6,2,8,1,4,3,7,5]=>[5,7,3,4,1,8,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>16 [3,6,4,1,2,8,5,7]=>[3,6,4,1,8,2,5,7]=>[7,5,2,8,1,4,6,3]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [2,5,1,8,7,6,3,4]=>[8,7,2,5,1,6,3,4]=>[4,3,6,1,5,2,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>13 [2,5,3,8,7,4,6,1]=>[8,5,2,7,3,4,6,1]=>[1,6,4,3,7,2,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [1,2,5,3,8,7,4,6]=>[8,5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [2,5,3,8,7,1,6,4]=>[8,5,2,7,3,6,1,4]=>[4,1,6,3,7,2,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>13 [3,5,8,7,1,4,2,6]=>[3,8,7,5,1,4,2,6]=>[6,2,4,1,5,7,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>15 [4,2,8,7,6,3,5,1]=>[8,7,4,2,6,3,5,1]=>[1,5,3,6,2,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>18 [4,1,8,7,6,5,3,2]=>[8,7,6,4,5,1,3,2]=>[2,3,1,5,4,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>18 [4,3,8,7,6,5,1,2]=>[8,7,4,6,3,1,5,2]=>[2,5,1,3,6,4,7,8]=>[[1,2,5,7,8],[3,4,6]]=>19 [5,1,3,8,7,6,2,4]=>[8,7,3,5,1,2,6,4]=>[4,6,2,1,5,3,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>14 [1,5,8,4,7,2,6,3]=>[5,4,8,7,1,6,2,3]=>[3,2,6,1,7,8,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>14 [4,5,8,1,7,2,3,6]=>[4,1,8,5,2,7,3,6]=>[6,3,7,2,5,8,1,4]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [4,5,8,1,7,2,6,3]=>[4,5,8,1,7,2,6,3]=>[3,6,2,7,1,8,5,4]=>[[1,2,4,6],[3,7],[5,8]]=>15 [1,3,2,5,8,7,4,6]=>[8,7,3,5,1,2,4,6]=>[6,4,2,1,5,3,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [3,5,1,8,7,4,6,2]=>[8,7,3,5,1,4,6,2]=>[2,6,4,1,5,3,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>14 [3,5,1,8,7,2,6,4]=>[8,5,3,7,1,6,2,4]=>[4,2,6,1,7,3,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>13 [3,4,8,7,6,2,1,5]=>[8,7,6,3,4,2,1,5]=>[5,1,2,4,3,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>17 [3,1,4,8,7,6,2,5]=>[8,7,6,1,3,4,2,5]=>[5,2,4,3,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>12 [1,3,4,8,7,6,2,5]=>[8,7,6,3,4,1,2,5]=>[5,2,1,4,3,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>11 [3,4,8,7,6,2,5,1]=>[8,7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>18 [3,2,5,8,7,4,6,1]=>[8,7,3,5,2,4,6,1]=>[1,6,4,2,5,3,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>14 [4,5,8,3,1,7,6,2]=>[4,1,8,5,7,3,6,2]=>[2,6,3,7,5,8,1,4]=>[[1,2,4,6],[3,5],[7,8]]=>16 [2,1,3,5,8,7,4,6]=>[8,7,2,5,1,3,4,6]=>[6,4,3,1,5,2,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,2,7,5,8,6,4,3]=>[5,7,8,6,4,1,2,3]=>[3,2,1,4,6,8,7,5]=>[[1,4,5,6],[2,7],[3,8]]=>12 [7,1,4,8,2,6,5,3]=>[1,7,8,4,6,2,5,3]=>[3,5,2,6,4,8,7,1]=>[[1,2,4,6],[3,5,7],[8]]=>15 [6,8,1,3,7,5,2,4]=>[8,3,6,1,2,7,5,4]=>[4,5,7,2,1,6,3,8]=>[[1,2,3,8],[4,6],[5,7]]=>17 [2,3,7,8,1,6,5,4]=>[2,7,8,6,3,5,1,4]=>[4,1,5,3,6,8,7,2]=>[[1,3,5,6],[2,4,7],[8]]=>13 [2,7,8,1,3,6,5,4]=>[2,7,8,1,6,5,3,4]=>[4,3,5,6,1,8,7,2]=>[[1,3,4,6],[2,7],[5,8]]=>14 [8,1,2,6,7,5,3,4]=>[6,1,8,7,2,3,5,4]=>[4,5,3,2,7,8,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [8,2,5,7,1,3,6,4]=>[2,1,8,5,7,3,6,4]=>[4,6,3,7,5,8,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>16 [2,8,1,6,7,3,5,4]=>[6,2,8,7,1,5,3,4]=>[4,3,5,1,7,8,2,6]=>[[1,3,5,6],[2,7,8],[4]]=>14 [2,6,8,3,7,1,5,4]=>[6,2,8,3,7,5,1,4]=>[4,1,5,7,3,8,2,6]=>[[1,3,4,6],[2,5,8],[7]]=>15 [6,8,3,4,1,7,5,2]=>[3,1,6,8,4,7,5,2]=>[2,5,7,4,8,6,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>18 [6,8,3,7,4,1,5,2]=>[6,3,1,8,4,7,5,2]=>[2,5,7,4,8,1,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>20 [8,4,7,2,3,6,1,5]=>[2,4,8,7,3,1,6,5]=>[5,6,1,3,7,8,4,2]=>[[1,2,5,6],[3,4,7],[8]]=>19 [8,5,2,4,7,1,6,3]=>[5,2,4,8,1,7,6,3]=>[3,6,7,1,8,4,2,5]=>[[1,2,3,5],[4,6,8],[7]]=>18 [8,2,3,5,7,1,6,4]=>[2,3,8,5,7,1,6,4]=>[4,6,1,7,5,8,3,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [8,2,4,7,3,6,1,5]=>[4,8,7,2,3,1,6,5]=>[5,6,1,3,2,7,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>17 [8,2,7,1,4,6,3,5]=>[8,2,7,1,4,3,6,5]=>[5,6,3,4,1,7,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>16 [1,6,8,3,7,2,5,4]=>[8,6,1,3,7,5,2,4]=>[4,2,5,7,3,1,6,8]=>[[1,3,4,8],[2,5,7],[6]]=>14 [8,3,5,7,1,2,6,4]=>[3,1,5,8,7,2,6,4]=>[4,6,2,7,8,5,1,3]=>[[1,2,4,5],[3,6],[7,8]]=>17 [5,8,7,1,3,6,2,4]=>[1,8,5,7,3,2,6,4]=>[4,6,2,3,7,5,8,1]=>[[1,2,5,7],[3,4,6],[8]]=>18 [8,5,4,7,1,6,2,3]=>[5,4,1,8,2,7,6,3]=>[3,6,7,2,8,1,4,5]=>[[1,2,3,5],[4,7,8],[6]]=>20 [8,5,4,7,1,2,6,3]=>[1,5,4,8,2,7,6,3]=>[3,6,7,2,8,4,5,1]=>[[1,2,3,5],[4,6,7],[8]]=>19 [8,5,1,4,7,2,6,3]=>[5,4,8,1,2,7,6,3]=>[3,6,7,2,1,8,4,5]=>[[1,2,3,6],[4,7,8],[5]]=>17 [1,4,6,8,2,7,5,3]=>[6,8,4,7,1,5,2,3]=>[3,2,5,1,7,4,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>12 [1,6,5,8,2,7,4,3]=>[1,6,8,5,7,4,2,3]=>[3,2,4,7,5,8,6,1]=>[[1,3,4,6],[2,5,7],[8]]=>14 [5,6,2,8,1,7,4,3]=>[2,5,8,1,6,7,4,3]=>[3,4,7,6,1,8,5,2]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [1,8,4,5,7,2,6,3]=>[4,5,8,1,7,6,2,3]=>[3,2,6,7,1,8,5,4]=>[[1,3,4,6],[2,7],[5,8]]=>14 [5,8,7,3,6,1,2,4]=>[5,1,8,7,3,2,6,4]=>[4,6,2,3,7,8,1,5]=>[[1,2,5,6],[3,4,8],[7]]=>20 [8,3,5,7,1,6,2,4]=>[3,5,1,8,7,2,6,4]=>[4,6,2,7,8,1,5,3]=>[[1,2,4,5],[3,7],[6,8]]=>18 [6,8,4,2,7,1,5,3]=>[2,6,4,8,1,7,5,3]=>[3,5,7,1,8,4,6,2]=>[[1,2,3,5],[4,6,7],[8]]=>19 [8,6,4,7,3,1,5,2]=>[4,1,6,3,8,7,5,2]=>[2,5,7,8,3,6,1,4]=>[[1,2,3,4],[5,6],[7,8]]=>22 [8,4,2,5,7,1,6,3]=>[2,4,5,8,1,7,6,3]=>[3,6,7,1,8,5,4,2]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [8,3,4,7,2,6,1,5]=>[3,8,4,7,2,1,6,5]=>[5,6,1,2,7,4,8,3]=>[[1,2,5,7],[3,4,6],[8]]=>18 [8,3,7,2,4,6,1,5]=>[3,8,2,7,4,1,6,5]=>[5,6,1,4,7,2,8,3]=>[[1,2,5,7],[3,4,8],[6]]=>18 [8,7,4,5,2,6,1,3]=>[4,2,5,1,8,7,6,3]=>[3,6,7,8,1,5,2,4]=>[[1,2,3,4],[5,6,8],[7]]=>22 [5,8,7,2,3,6,1,4]=>[2,5,8,7,3,1,6,4]=>[4,6,1,3,7,8,5,2]=>[[1,2,5,6],[3,4,7],[8]]=>19 [1,3,2,8,5,4,7,6]=>[3,5,8,7,1,2,4,6]=>[6,4,2,1,7,8,5,3]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [4,2,8,5,3,7,1,6]=>[8,4,2,5,7,3,1,6]=>[6,1,3,7,5,2,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>14 [5,2,1,8,4,3,7,6]=>[5,8,2,1,4,7,3,6]=>[6,3,7,4,1,2,8,5]=>[[1,3,7],[2,4,8],[5,6]]=>11 [6,2,8,4,3,7,5,1]=>[6,4,8,2,3,7,5,1]=>[1,5,7,3,2,8,4,6]=>[[1,2,3,6],[4,7,8],[5]]=>17 [6,3,4,8,2,7,5,1]=>[3,4,6,8,2,7,5,1]=>[1,5,7,2,8,6,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [5,3,4,1,8,2,7,6]=>[3,5,4,8,1,7,2,6]=>[6,2,7,1,8,4,5,3]=>[[1,3,5],[2,6,7],[4,8]]=>12 [8,1,4,5,2,3,7,6]=>[4,1,5,8,2,3,7,6]=>[6,7,3,2,8,5,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [8,1,5,4,3,2,7,6]=>[5,4,3,8,1,2,7,6]=>[6,7,2,1,8,3,4,5]=>[[1,2,5,8],[3,6,7],[4]]=>14 [3,5,4,2,8,1,7,6]=>[5,8,3,4,2,7,1,6]=>[6,1,7,2,4,3,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>12 [4,5,3,2,8,7,1,6]=>[4,5,8,3,7,2,1,6]=>[6,1,2,7,3,8,5,4]=>[[1,3,4,6],[2,5,7],[8]]=>14 [6,4,3,2,8,7,5,1]=>[4,3,8,2,6,7,5,1]=>[1,5,7,6,2,8,3,4]=>[[1,2,3,6],[4,7,8],[5]]=>17 [6,5,3,2,1,7,8,4]=>[3,2,1,6,5,7,8,4]=>[4,8,7,5,6,1,2,3]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [4,1,7,3,2,6,5,8]=>[4,1,7,3,6,2,5,8]=>[8,5,2,6,3,7,1,4]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [5,7,3,2,6,4,8,1]=>[5,3,7,2,6,4,8,1]=>[1,8,4,6,2,7,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>16 [6,7,3,2,5,4,1,8]=>[3,2,6,7,5,4,1,8]=>[8,1,4,5,7,6,2,3]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [3,1,7,5,6,2,4,8]=>[3,7,5,1,6,2,4,8]=>[8,4,2,6,1,5,7,3]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [2,6,5,7,1,3,8,4]=>[6,5,2,1,7,8,3,4]=>[4,3,8,7,1,2,5,6]=>[[1,3,7,8],[2,4],[5,6]]=>12 [5,6,4,7,2,8,3,1]=>[5,6,4,2,7,8,3,1]=>[1,3,8,7,2,4,6,5]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [6,4,5,7,1,8,2,3]=>[4,1,6,5,7,2,8,3]=>[3,8,2,7,5,6,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [8,1,5,6,7,2,3,4]=>[8,1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [5,3,6,8,7,2,4,1]=>[8,3,5,6,2,7,4,1]=>[1,4,7,2,6,5,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [7,3,5,8,6,2,1,4]=>[3,7,8,5,2,1,6,4]=>[4,6,1,2,5,8,7,3]=>[[1,2,5,6],[3,4,7],[8]]=>19 [7,2,8,5,6,3,1,4]=>[2,7,8,5,3,1,6,4]=>[4,6,1,3,5,8,7,2]=>[[1,2,5,6],[3,4,7],[8]]=>19 [4,2,1,8,6,7,3,5]=>[2,8,4,6,1,7,3,5]=>[5,3,7,1,6,4,8,2]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [1,3,2,8,6,7,4,5]=>[6,8,7,3,1,2,4,5]=>[5,4,2,1,3,7,8,6]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [2,3,8,6,7,1,4,5]=>[6,2,8,7,3,1,4,5]=>[5,4,1,3,7,8,2,6]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [4,2,8,7,6,1,5,3]=>[2,8,7,4,6,1,5,3]=>[3,5,1,6,4,7,8,2]=>[[1,2,4,6,7],[3,5],[8]]=>17 [5,2,8,7,6,4,1,3]=>[8,7,5,6,2,1,4,3]=>[3,4,1,2,6,5,7,8]=>[[1,2,5,7,8],[3,4,6]]=>19 [6,3,7,8,5,4,2,1]=>[6,7,8,3,5,4,2,1]=>[1,2,4,5,3,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>21 [5,3,7,8,6,4,1,2]=>[7,8,3,5,1,6,4,2]=>[2,4,6,1,5,3,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>19 [3,4,7,8,6,1,5,2]=>[7,3,8,4,6,1,5,2]=>[2,5,1,6,4,8,3,7]=>[[1,2,4,6],[3,5,8],[7]]=>16 [3,5,7,6,8,1,4,2]=>[7,5,6,3,8,1,4,2]=>[2,4,1,8,3,6,5,7]=>[[1,2,4,8],[3,5,6],[7]]=>16 [4,5,7,6,8,3,1,2]=>[7,4,5,6,1,8,3,2]=>[2,3,8,1,6,5,4,7]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [5,4,1,7,6,8,3,2]=>[5,7,1,4,6,8,3,2]=>[2,3,8,6,4,1,7,5]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [6,4,7,5,8,3,2,1]=>[4,6,7,5,8,3,2,1]=>[1,2,3,8,5,7,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>21 [7,4,6,5,1,8,3,2]=>[4,7,1,6,5,8,3,2]=>[2,3,8,5,6,1,7,4]=>[[1,2,3,5,7],[4,8],[6]]=>19 [6,5,1,7,4,3,8,2]=>[6,5,7,1,4,3,8,2]=>[2,8,3,4,1,7,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>16 [4,6,7,5,3,8,1,2]=>[6,7,4,5,3,1,8,2]=>[2,8,1,3,5,4,7,6]=>[[1,2,5,7],[3,4,8],[6]]=>18 [8,1,7,6,5,4,3,2]=>[8,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>22 [3,7,6,5,1,4,2,8]=>[3,7,6,5,1,4,2,8]=>[8,2,4,1,5,6,7,3]=>[[1,3,5,6,7],[2,8],[4]]=>15 [4,7,6,5,3,1,2,8]=>[7,6,4,1,5,3,2,8]=>[8,2,3,5,1,4,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>17 [8,6,4,1,5,2,7,3]=>[4,1,2,6,5,8,7,3]=>[3,7,8,5,6,2,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [8,6,5,1,3,2,7,4]=>[3,1,2,6,5,8,7,4]=>[4,7,8,5,6,2,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [8,6,3,1,7,2,4,5]=>[3,1,6,2,4,8,7,5]=>[5,7,8,4,2,6,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [8,7,3,1,5,2,4,6]=>[3,1,5,2,4,8,7,6]=>[6,7,8,4,2,5,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [5,3,1,7,2,4,6,8]=>[3,1,5,2,7,4,6,8]=>[8,6,4,7,2,5,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>9 [8,7,1,2,4,5,3,6]=>[4,5,1,2,3,8,7,6]=>[6,7,8,3,2,1,5,4]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [8,5,1,2,6,7,3,4]=>[5,6,1,2,3,8,7,4]=>[4,7,8,3,2,1,6,5]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [8,5,1,6,4,2,7,3]=>[5,1,6,2,4,8,7,3]=>[3,7,8,4,2,6,1,5]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [8,6,1,5,3,4,7,2]=>[1,6,5,3,4,8,7,2]=>[2,7,8,4,3,5,6,1]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [8,6,1,5,2,4,7,3]=>[6,1,5,2,4,8,7,3]=>[3,7,8,4,2,5,1,6]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [8,6,1,2,7,4,3,5]=>[6,4,1,2,3,8,7,5]=>[5,7,8,3,2,1,4,6]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [8,7,1,2,5,4,3,6]=>[5,4,1,2,3,8,7,6]=>[6,7,8,3,2,1,4,5]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [5,1,4,2,3,8,6,7]=>[5,4,1,2,8,3,6,7]=>[7,6,3,8,2,1,4,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [5,1,4,2,7,3,6,8]=>[5,4,1,2,7,3,6,8]=>[8,6,3,7,2,1,4,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [7,1,5,8,2,6,3,4]=>[7,5,1,2,8,3,6,4]=>[4,6,3,8,2,1,5,7]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [5,7,8,1,2,4,6,3]=>[7,1,5,2,8,4,6,3]=>[3,6,4,8,2,5,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [5,7,8,1,3,4,6,2]=>[1,7,5,3,8,4,6,2]=>[2,6,4,8,3,5,7,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [5,8,1,7,3,4,6,2]=>[1,8,5,3,7,4,6,2]=>[2,6,4,7,3,5,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [8,1,5,7,2,4,6,3]=>[8,1,5,2,7,4,6,3]=>[3,6,4,7,2,5,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [8,4,1,2,7,6,3,5]=>[8,4,1,2,7,3,6,5]=>[5,6,3,7,2,1,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [1,4,2,3,8,7,5,6]=>[8,4,1,7,2,3,5,6]=>[6,5,3,2,7,1,4,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [1,4,2,7,6,3,5,8]=>[7,4,1,6,2,3,5,8]=>[8,5,3,2,6,1,4,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [6,1,2,8,7,5,3,4]=>[8,6,1,7,2,3,5,4]=>[4,5,3,2,7,1,6,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [6,1,2,4,8,7,5,3]=>[8,1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [3,1,8,4,6,7,5,2]=>[1,8,6,7,3,4,5,2]=>[2,5,4,3,7,6,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [3,1,7,6,4,8,5,2]=>[1,7,6,8,3,4,5,2]=>[2,5,4,3,8,6,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [7,1,2,4,6,8,5,3]=>[7,1,6,8,2,4,5,3]=>[3,5,4,2,8,6,1,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [7,1,2,6,8,5,3,4]=>[7,6,1,8,2,3,5,4]=>[4,5,3,2,8,1,6,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [6,1,2,7,8,5,3,4]=>[6,7,1,8,2,3,5,4]=>[4,5,3,2,8,1,7,6]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [6,1,2,7,4,8,5,3]=>[6,1,7,8,2,4,5,3]=>[3,5,4,2,8,7,1,6]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [3,1,6,4,7,8,5,2]=>[1,6,7,8,3,4,5,2]=>[2,5,4,3,8,7,6,1]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [5,7,1,3,8,4,6,2]=>[1,5,7,3,8,4,6,2]=>[2,6,4,8,3,7,5,1]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [5,7,1,8,4,2,6,3]=>[5,1,7,2,8,4,6,3]=>[3,6,4,8,2,7,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [4,7,3,1,5,8,6,2]=>[1,4,3,7,8,5,6,2]=>[2,6,5,8,7,3,4,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [4,8,7,3,1,5,6,2]=>[1,4,3,8,7,5,6,2]=>[2,6,5,7,8,3,4,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [8,1,7,4,5,2,6,3]=>[4,1,2,8,7,5,6,3]=>[3,6,5,7,8,2,1,4]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [8,1,7,5,3,2,6,4]=>[3,1,2,8,7,5,6,4]=>[4,6,5,7,8,2,1,3]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [8,3,7,1,2,6,4,5]=>[3,1,8,2,7,4,6,5]=>[5,6,4,7,2,8,1,3]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [3,1,2,8,4,7,5,6]=>[3,1,8,7,2,4,5,6]=>[6,5,4,2,7,8,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [3,1,2,8,6,4,5,7]=>[3,1,8,6,2,4,5,7]=>[7,5,4,2,6,8,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [3,1,7,2,6,4,5,8]=>[3,1,7,6,2,4,5,8]=>[8,5,4,2,6,7,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [1,4,2,3,8,6,5,7]=>[4,8,1,6,2,3,5,7]=>[7,5,3,2,6,1,8,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [1,4,2,3,8,5,7,6]=>[4,8,1,7,2,3,5,6]=>[6,5,3,2,7,1,8,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [5,8,1,7,2,4,6,3]=>[5,1,8,2,7,4,6,3]=>[3,6,4,7,2,8,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [5,8,1,3,4,7,6,2]=>[1,5,8,3,7,4,6,2]=>[2,6,4,7,3,8,5,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [8,1,2,6,7,4,5,3]=>[6,1,8,7,2,4,5,3]=>[3,5,4,2,7,8,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [6,1,2,8,7,3,5,4]=>[6,8,1,7,2,3,5,4]=>[4,5,3,2,7,1,8,6]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [1,2,3,5,8,4,7,6]=>[5,8,7,1,2,3,4,6]=>[6,4,3,2,1,7,8,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [1,2,3,5,8,6,4,7]=>[5,8,6,1,2,3,4,7]=>[7,4,3,2,1,6,8,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [7,1,2,8,3,6,5,4]=>[7,8,1,6,2,3,5,4]=>[4,5,3,2,6,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [7,1,2,8,6,4,5,3]=>[7,1,8,6,2,4,5,3]=>[3,5,4,2,6,8,1,7]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [3,1,7,8,4,6,5,2]=>[1,7,8,6,3,4,5,2]=>[2,5,4,3,6,8,7,1]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [3,1,8,7,6,4,5,2]=>[1,8,7,6,3,4,5,2]=>[2,5,4,3,6,7,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>16 [8,1,2,7,4,6,5,3]=>[8,1,7,6,2,4,5,3]=>[3,5,4,2,6,7,1,8]=>[[1,2,5,6,8],[3],[4],[7]]=>15 [8,1,2,7,3,6,5,4]=>[8,7,1,6,2,3,5,4]=>[4,5,3,2,6,1,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>14 [1,2,3,5,8,7,4,6]=>[8,7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [1,2,3,6,8,5,4,7]=>[8,6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [7,8,5,6,3,1,4,2]=>[1,7,5,3,8,6,4,2]=>[2,4,6,8,3,5,7,1]=>[[1,2,3,4],[5,6,7],[8]]=>23 [7,8,5,3,6,1,2,4]=>[3,1,7,5,2,8,6,4]=>[4,6,8,2,5,7,1,3]=>[[1,2,3],[4,5,6],[7,8]]=>21 [7,5,8,3,1,4,2,6]=>[1,5,3,7,4,2,8,6]=>[6,8,2,4,7,3,5,1]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [7,8,5,3,1,4,2,6]=>[1,3,7,5,4,2,8,6]=>[6,8,2,4,5,7,3,1]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [7,8,5,3,1,6,4,2]=>[1,3,7,5,8,6,4,2]=>[2,4,6,8,5,7,3,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [7,8,5,3,6,1,4,2]=>[3,1,7,5,8,6,4,2]=>[2,4,6,8,5,7,1,3]=>[[1,2,3,4],[5,6],[7,8]]=>22 [7,8,5,3,6,4,1,2]=>[3,7,5,1,8,6,4,2]=>[2,4,6,8,1,5,7,3]=>[[1,2,3,4],[5,6,7],[8]]=>23 [7,8,5,3,4,1,6,2]=>[3,1,7,5,4,8,6,2]=>[2,6,8,4,5,7,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>21 [7,8,5,3,1,4,6,2]=>[1,3,7,5,4,8,6,2]=>[2,6,8,4,5,7,3,1]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [7,5,8,3,4,1,6,2]=>[5,3,1,7,4,8,6,2]=>[2,6,8,4,7,1,3,5]=>[[1,2,3],[4,5,8],[6,7]]=>20 [7,5,6,3,4,1,8,2]=>[5,3,1,7,6,4,8,2]=>[2,8,4,6,7,1,3,5]=>[[1,2,4,5],[3,7,8],[6]]=>19 [7,5,6,3,1,4,8,2]=>[1,5,3,7,6,4,8,2]=>[2,8,4,6,7,3,5,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [7,5,6,3,1,2,8,4]=>[1,5,3,2,7,6,8,4]=>[4,8,6,7,2,3,5,1]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [7,5,3,6,1,2,8,4]=>[3,1,5,2,7,6,8,4]=>[4,8,6,7,2,5,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [7,5,3,1,4,2,8,6]=>[1,3,5,4,2,7,8,6]=>[6,8,7,2,4,5,3,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [7,5,3,1,6,2,8,4]=>[1,3,5,2,7,6,8,4]=>[4,8,6,7,2,5,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [7,5,3,6,4,1,8,2]=>[3,5,1,7,6,4,8,2]=>[2,8,4,6,7,1,5,3]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [7,5,3,8,4,6,1,2]=>[3,5,7,4,1,8,6,2]=>[2,6,8,1,4,7,5,3]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [7,5,3,8,1,4,6,2]=>[3,1,5,7,4,8,6,2]=>[2,6,8,4,7,5,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [7,5,3,1,8,2,4,6]=>[1,3,5,2,7,4,8,6]=>[6,8,4,7,2,5,3,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>15 [7,5,3,1,6,4,2,8]=>[1,3,5,7,6,4,2,8]=>[8,2,4,6,7,5,3,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>15 [7,5,3,1,8,6,2,4]=>[1,3,5,7,2,8,6,4]=>[4,6,8,2,7,5,3,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [7,5,3,8,1,6,4,2]=>[3,1,5,7,8,6,4,2]=>[2,4,6,8,7,5,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [7,5,3,8,6,1,4,2]=>[3,5,1,7,8,6,4,2]=>[2,4,6,8,7,1,5,3]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [7,5,3,8,6,4,1,2]=>[3,5,7,1,8,6,4,2]=>[2,4,6,8,1,7,5,3]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [7,5,8,3,6,4,1,2]=>[5,3,7,1,8,6,4,2]=>[2,4,6,8,1,7,3,5]=>[[1,2,3,4],[5,6,8],[7]]=>22 [7,5,8,3,6,1,4,2]=>[5,3,1,7,8,6,4,2]=>[2,4,6,8,7,1,3,5]=>[[1,2,3,4],[5,7,8],[6]]=>21 [7,5,8,3,1,6,4,2]=>[1,5,3,7,8,6,4,2]=>[2,4,6,8,7,3,5,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [7,5,8,3,1,6,2,4]=>[1,5,3,7,2,8,6,4]=>[4,6,8,2,7,3,5,1]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [7,5,3,6,4,1,2,8]=>[3,5,1,7,6,4,2,8]=>[8,2,4,6,7,1,5,3]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [7,5,3,8,4,1,2,6]=>[3,5,1,7,4,2,8,6]=>[6,8,2,4,7,1,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [7,5,8,6,3,1,2,4]=>[5,1,7,3,2,8,6,4]=>[4,6,8,2,3,7,1,5]=>[[1,2,3],[4,5,6],[7,8]]=>21 [7,5,8,6,3,1,4,2]=>[5,1,7,3,8,6,4,2]=>[2,4,6,8,3,7,1,5]=>[[1,2,3,4],[5,6],[7,8]]=>22 [7,5,8,6,3,4,1,2]=>[5,7,3,1,8,6,4,2]=>[2,4,6,8,1,3,7,5]=>[[1,2,3,4],[5,6,7],[8]]=>23 [7,5,3,4,1,8,2,6]=>[3,1,5,4,7,2,8,6]=>[6,8,2,7,4,5,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [7,5,6,3,1,8,4,2]=>[1,5,3,7,6,8,4,2]=>[2,4,8,6,7,3,5,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [7,5,6,3,8,1,4,2]=>[5,3,1,7,6,8,4,2]=>[2,4,8,6,7,1,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>20 [7,5,6,3,8,4,1,2]=>[5,3,7,6,1,8,4,2]=>[2,4,8,1,6,7,3,5]=>[[1,2,3,6],[4,5,8],[7]]=>21 [7,5,3,1,4,8,2,6]=>[1,3,5,4,7,2,8,6]=>[6,8,2,7,4,5,3,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [7,5,3,4,1,8,6,2]=>[3,1,5,4,7,8,6,2]=>[2,6,8,7,4,5,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [7,5,3,4,1,6,8,2]=>[3,1,5,4,7,6,8,2]=>[2,8,6,7,4,5,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [3,6,2,5,4,1,8,7]=>[3,6,5,2,4,8,1,7]=>[7,1,8,4,2,5,6,3]=>[[1,3,6,7],[2,4],[5,8]]=>11 [3,5,2,8,4,7,6,1]=>[8,5,3,7,2,4,6,1]=>[1,6,4,2,7,3,5,8]=>[[1,2,5,7,8],[3,6],[4]]=>14 [5,4,8,3,2,7,6,1]=>[8,5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5,8]=>[[1,2,4,6,7,8],[3,5]]=>18 [6,4,5,3,2,1,8,7]=>[4,6,5,3,2,8,1,7]=>[7,1,8,2,3,5,6,4]=>[[1,3,5,6,7],[2,4],[8]]=>15 [5,3,2,6,4,1,8,7]=>[3,2,5,6,4,8,1,7]=>[7,1,8,4,6,5,2,3]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [4,7,6,3,8,5,2,1]=>[7,6,4,8,3,5,2,1]=>[1,2,5,3,8,4,6,7]=>[[1,2,3,5,7,8],[4,6]]=>20 [5,8,4,3,2,7,6,1]=>[5,4,3,8,7,2,6,1]=>[1,6,2,7,8,3,4,5]=>[[1,2,4,5,8],[3,6,7]]=>19 [5,3,2,7,4,8,6,1]=>[3,5,2,7,8,4,6,1]=>[1,6,4,8,7,2,5,3]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [5,7,4,3,2,8,6,1]=>[7,5,4,3,8,2,6,1]=>[1,6,2,8,3,4,5,7]=>[[1,2,4,6,7,8],[3,5]]=>18 [4,7,5,3,2,8,6,1]=>[4,7,5,3,8,2,6,1]=>[1,6,2,8,3,5,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>17 [4,6,8,3,7,5,2,1]=>[8,6,4,7,3,5,2,1]=>[1,2,5,3,7,4,6,8]=>[[1,2,3,5,7,8],[4,6]]=>20 [7,6,4,3,8,5,2,1]=>[4,3,7,6,8,5,2,1]=>[1,2,5,8,6,7,3,4]=>[[1,2,3,4,6],[5,8],[7]]=>22 [2,1,8,6,7,5,4,3]=>[6,8,7,5,2,4,1,3]=>[3,1,4,2,5,7,8,6]=>[[1,3,5,6,7],[2,4,8]]=>15 [8,6,4,3,7,5,2,1]=>[4,3,6,8,7,5,2,1]=>[1,2,5,7,8,6,3,4]=>[[1,2,3,4,5],[6,8],[7]]=>23 [8,5,7,6,4,3,2,1]=>[8,5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5,8]=>[[1,2,3,4,5,6,8],[7]]=>26 [8,4,7,3,6,5,2,1]=>[4,8,7,3,6,5,2,1]=>[1,2,5,6,3,7,8,4]=>[[1,2,3,4,6,7],[5,8]]=>23 [3,7,2,6,8,5,4,1]=>[7,3,6,8,5,2,4,1]=>[1,4,2,5,8,6,3,7]=>[[1,2,4,5,8],[3,6],[7]]=>17 [3,8,2,5,4,7,6,1]=>[8,3,2,5,7,4,6,1]=>[1,6,4,7,5,2,3,8]=>[[1,2,4,8],[3,5],[6,7]]=>15 [3,6,2,8,7,5,4,1]=>[8,3,6,7,5,2,4,1]=>[1,4,2,5,7,6,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>17 [6,4,8,3,7,5,2,1]=>[4,6,8,3,7,5,2,1]=>[1,2,5,7,3,8,6,4]=>[[1,2,3,4,6],[5,7],[8]]=>21 [7,4,8,3,6,5,2,1]=>[7,4,8,3,6,5,2,1]=>[1,2,5,6,3,8,4,7]=>[[1,2,3,4,6],[5,7,8]]=>22 [7,4,5,3,2,8,6,1]=>[4,5,3,2,7,8,6,1]=>[1,6,8,7,2,3,5,4]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [7,5,4,3,2,8,6,1]=>[5,4,3,2,7,8,6,1]=>[1,6,8,7,2,3,4,5]=>[[1,2,3,7,8],[4,6],[5]]=>19 [7,3,2,5,4,8,6,1]=>[3,5,2,4,7,8,6,1]=>[1,6,8,7,4,2,5,3]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [2,1,7,5,4,8,6,3]=>[7,2,5,8,4,6,1,3]=>[3,1,6,4,8,5,2,7]=>[[1,3,5,8],[2,4,6],[7]]=>11 [7,3,2,8,6,5,4,1]=>[7,8,3,6,2,5,4,1]=>[1,4,5,2,6,3,8,7]=>[[1,2,3,5,7],[4,6,8]]=>19 [7,8,4,3,6,5,2,1]=>[4,3,7,8,6,5,2,1]=>[1,2,5,6,8,7,3,4]=>[[1,2,3,4,5],[6,8],[7]]=>23 [6,8,5,7,4,3,2,1]=>[8,6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6,8]=>[[1,2,3,4,5,7,8],[6]]=>25 [6,8,4,3,7,5,2,1]=>[6,4,8,3,7,5,2,1]=>[1,2,5,7,3,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>22 [6,3,2,7,8,5,4,1]=>[3,6,7,8,2,5,4,1]=>[1,4,5,2,8,7,6,3]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [6,7,4,3,8,5,2,1]=>[6,4,3,7,8,5,2,1]=>[1,2,5,8,7,3,4,6]=>[[1,2,3,4,8],[5,7],[6]]=>21 [2,3,4,5,6,7,9,8,1]=>[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>9 [3,5,8,2,4,7,1,6]=>[5,3,8,7,2,4,1,6]=>[6,1,4,2,7,8,3,5]=>[[1,3,5,6],[2,7,8],[4]]=>14 [8,3,5,2,4,1,6,7]=>[5,3,2,4,1,6,8,7]=>[7,8,6,1,4,2,3,5]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [4,5,2,8,3,1,6,7]=>[8,4,2,5,3,1,6,7]=>[7,6,1,3,5,2,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [2,1,6,8,4,7,3,5]=>[6,8,2,7,4,1,3,5]=>[5,3,1,4,7,2,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>11 [1,2,5,8,3,6,7,4]=>[8,5,1,6,7,2,3,4]=>[4,3,2,7,6,1,5,8]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [1,4,3,8,2,6,7,5]=>[4,3,8,6,7,1,2,5]=>[5,2,1,7,6,8,3,4]=>[[1,4,6],[2,5,8],[3,7]]=>9 [5,4,8,3,2,1,6,7]=>[8,5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5,8]=>[[1,4,5,6,7,8],[2],[3]]=>15 [5,4,3,7,2,6,1,8]=>[5,4,7,3,2,6,1,8]=>[8,1,6,2,3,7,4,5]=>[[1,3,5,6,8],[2,7],[4]]=>14 [4,3,6,2,7,5,1,8]=>[4,6,3,7,2,5,1,8]=>[8,1,5,2,7,3,6,4]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [4,6,3,2,1,8,5,7]=>[6,4,3,8,2,1,5,7]=>[7,5,1,2,8,3,4,6]=>[[1,4,5,7,8],[2,6],[3]]=>12 [4,3,1,7,8,2,6,5]=>[4,7,3,8,1,6,2,5]=>[5,2,6,1,8,3,7,4]=>[[1,3,5],[2,6,7],[4,8]]=>12 [5,4,7,3,8,6,1,2]=>[5,7,4,8,3,1,6,2]=>[2,6,1,3,8,4,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>18 [5,8,4,7,6,3,1,2]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[[1,2,3,6,7],[4,5,8]]=>22 [5,8,7,1,4,2,6,3]=>[1,5,2,8,7,4,6,3]=>[3,6,4,7,8,2,5,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [1,8,4,3,5,2,7,6]=>[4,1,3,8,5,7,2,6]=>[6,2,7,5,8,3,1,4]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [4,6,3,1,5,2,8,7]=>[1,6,4,3,5,8,2,7]=>[7,2,8,5,3,4,6,1]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [4,7,3,6,5,2,1,8]=>[4,7,6,3,5,2,1,8]=>[8,1,2,5,3,6,7,4]=>[[1,3,4,6,7],[2,8],[5]]=>16 [5,3,7,6,4,2,1,8]=>[7,3,5,6,4,2,1,8]=>[8,1,2,4,6,5,3,7]=>[[1,3,4,5,8],[2],[6],[7]]=>16 [1,6,3,4,2,8,7,5]=>[1,6,8,3,4,7,2,5]=>[5,2,7,4,3,8,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [1,8,3,6,2,7,5,4]=>[1,6,8,7,3,5,2,4]=>[4,2,5,3,7,8,6,1]=>[[1,3,5,6],[2,4,7],[8]]=>13 [1,6,8,7,4,2,5,3]=>[1,8,6,4,7,5,2,3]=>[3,2,5,7,4,6,8,1]=>[[1,3,4,7],[2,5,6],[8]]=>16 [7,6,4,3,8,5,1,2]=>[4,3,7,6,1,8,5,2]=>[2,5,8,1,6,7,3,4]=>[[1,2,3,6],[4,5,8],[7]]=>21 [1,5,3,2,7,4,8,6]=>[5,7,1,3,8,2,4,6]=>[6,4,2,8,3,1,7,5]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [5,2,6,3,7,4,1,8]=>[5,2,3,6,7,4,1,8]=>[8,1,4,7,6,3,2,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [2,8,5,3,1,6,4,7]=>[2,3,1,8,5,6,4,7]=>[7,4,6,5,8,1,3,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [1,6,2,3,7,8,5,4]=>[6,7,8,1,2,5,3,4]=>[4,3,5,2,1,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [1,6,7,2,8,4,5,3]=>[6,7,1,4,8,5,2,3]=>[3,2,5,8,4,1,7,6]=>[[1,3,4],[2,5,7],[6,8]]=>13 [5,7,1,8,2,4,6,3]=>[1,5,7,2,8,4,6,3]=>[3,6,4,8,2,7,5,1]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [5,1,2,7,8,3,6,4]=>[7,5,8,1,2,3,6,4]=>[4,6,3,2,1,8,5,7]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [4,2,1,7,3,8,5,6]=>[4,2,7,1,8,3,5,6]=>[6,5,3,8,1,7,2,4]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [6,2,8,4,3,1,5,7]=>[6,2,4,3,1,8,5,7]=>[7,5,8,1,3,4,2,6]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [7,3,2,1,8,4,5,6]=>[3,7,2,1,4,5,8,6]=>[6,8,5,4,1,2,7,3]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [7,8,3,2,5,6,1,4]=>[3,7,2,5,1,8,6,4]=>[4,6,8,1,5,2,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>19 [7,1,8,2,4,5,6,3]=>[1,7,2,4,8,5,6,3]=>[3,6,5,8,4,2,7,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [8,7,6,1,2,4,5,3]=>[1,8,2,4,7,6,5,3]=>[3,5,6,7,4,2,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>20 [8,3,7,6,2,1,4,5]=>[3,2,1,8,7,4,6,5]=>[5,6,4,7,8,1,2,3]=>[[1,2,4,5],[3,7,8],[6]]=>19 [3,2,8,7,5,1,4,6]=>[3,8,7,5,2,1,4,6]=>[6,4,1,2,5,7,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>14 [8,3,6,5,2,1,4,7]=>[6,5,3,2,1,4,8,7]=>[7,8,4,1,2,3,5,6]=>[[1,2,6,7,8],[3,5],[4]]=>17 [7,6,3,5,2,4,1,8]=>[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[[1,3,4,5,8],[2,7],[6]]=>18 [7,4,6,2,5,3,1,8]=>[4,7,2,6,5,3,1,8]=>[8,1,3,5,6,2,7,4]=>[[1,3,4,5,7],[2,8],[6]]=>17 [4,2,8,1,7,5,3,6]=>[8,4,2,7,1,5,3,6]=>[6,3,5,1,7,2,4,8]=>[[1,3,5,8],[2,6,7],[4]]=>13 [8,2,4,1,7,6,3,5]=>[8,4,7,2,1,3,6,5]=>[5,6,3,1,2,7,4,8]=>[[1,2,6,8],[3,5,7],[4]]=>15 [8,7,1,5,6,2,4,3]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[[1,2,3,5,6],[4],[7],[8]]=>20 [8,5,7,3,6,4,1,2]=>[5,8,3,1,7,6,4,2]=>[2,4,6,7,1,3,8,5]=>[[1,2,3,4,7],[5,6,8]]=>23 [8,1,6,7,5,2,4,3]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[[1,2,4,5,6],[3,7],[8]]=>19 [8,1,2,6,4,3,7,5]=>[8,1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [2,5,1,8,6,4,3,7]=>[5,8,2,6,4,1,3,7]=>[7,3,1,4,6,2,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>11 [5,7,2,6,4,3,1,8]=>[7,2,5,6,4,3,1,8]=>[8,1,3,4,6,5,2,7]=>[[1,3,4,5,8],[2],[6],[7]]=>16 [2,1,8,6,5,4,3,7]=>[8,6,2,5,4,1,3,7]=>[7,3,1,4,5,2,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>12 [1,2,7,5,4,3,8,6]=>[7,5,1,4,8,2,3,6]=>[6,3,2,8,4,1,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [1,7,2,4,3,8,6,5]=>[1,7,8,2,4,6,3,5]=>[5,3,6,4,2,8,7,1]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [1,7,2,8,3,6,5,4]=>[7,8,1,6,2,5,3,4]=>[4,3,5,2,6,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [1,7,8,6,5,2,4,3]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[[1,3,4,5,6],[2,7],[8]]=>18 [1,8,7,6,5,2,4,3]=>[8,1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>19 [8,1,7,3,2,6,5,4]=>[8,1,7,3,6,2,5,4]=>[4,5,2,6,3,7,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>16 [8,6,5,3,2,1,7,4]=>[3,2,1,6,5,8,7,4]=>[4,7,8,5,6,1,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>20 [8,6,3,2,1,7,4,5]=>[3,2,6,1,4,8,7,5]=>[5,7,8,4,1,6,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>17 [8,6,5,4,1,7,2,3]=>[6,1,5,4,2,8,7,3]=>[3,7,8,2,4,5,1,6]=>[[1,2,3,8],[4,5,6],[7]]=>21 [8,6,5,1,7,3,2,4]=>[6,5,1,3,2,8,7,4]=>[4,7,8,2,3,1,5,6]=>[[1,2,3,8],[4,5,7],[6]]=>20 [4,6,3,2,7,5,1,8]=>[6,4,3,7,2,5,1,8]=>[8,1,5,2,7,3,4,6]=>[[1,3,5,7,8],[2,6],[4]]=>13 [7,4,8,3,1,6,2,5]=>[7,4,3,1,8,2,6,5]=>[5,6,2,8,1,3,4,7]=>[[1,2,4,8],[3,6,7],[5]]=>18 [7,1,5,8,3,2,6,4]=>[7,5,1,3,8,2,6,4]=>[4,6,2,8,3,1,5,7]=>[[1,2,4,8],[3,5,7],[6]]=>15 [5,7,4,1,8,2,6,3]=>[7,1,5,4,8,2,6,3]=>[3,6,2,8,4,5,1,7]=>[[1,2,4,8],[3,5,6],[7]]=>16 [5,7,4,3,1,8,6,2]=>[1,7,5,4,8,3,6,2]=>[2,6,3,8,4,5,7,1]=>[[1,2,4,6,7],[3,5],[8]]=>17 [1,8,7,2,5,4,6,3]=>[8,1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1,8]=>[[1,3,4,8],[2,5,6],[7]]=>15 [1,8,5,3,7,2,6,4]=>[8,5,1,3,7,6,2,4]=>[4,2,6,7,3,1,5,8]=>[[1,3,4,8],[2,5,7],[6]]=>14 [4,3,1,8,7,5,2,6]=>[8,4,3,7,1,5,2,6]=>[6,2,5,1,7,3,4,8]=>[[1,3,5,8],[2,6,7],[4]]=>13 [7,4,6,3,5,2,1,8]=>[7,4,3,6,5,2,1,8]=>[8,1,2,5,6,3,4,7]=>[[1,3,4,5,8],[2,7],[6]]=>18 [1,3,5,6,8,4,2,7]=>[8,5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>9 [3,5,4,8,7,1,2,6]=>[8,5,7,3,1,4,2,6]=>[6,2,4,1,3,7,5,8]=>[[1,3,6,8],[2,5,7],[4]]=>14 [3,1,4,6,8,7,2,5]=>[8,6,7,1,3,4,2,5]=>[5,2,4,3,1,7,6,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [1,6,3,8,7,2,5,4]=>[8,6,1,7,3,5,2,4]=>[4,2,5,3,7,1,6,8]=>[[1,3,5,8],[2,4,7],[6]]=>13 [1,6,2,4,8,7,5,3]=>[8,1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1,8]=>[[1,3,5,8],[2,4,6],[7]]=>11 [8,4,1,6,7,5,3,2]=>[1,8,6,7,4,5,3,2]=>[2,3,5,4,7,6,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>19 [7,1,6,4,8,5,2,3]=>[7,1,6,8,4,2,5,3]=>[3,5,2,4,8,6,1,7]=>[[1,2,5,8],[3,4,6],[7]]=>17 [7,3,6,8,5,1,2,4]=>[7,6,1,8,3,2,5,4]=>[4,5,2,3,8,1,6,7]=>[[1,2,5,8],[3,4,7],[6]]=>19 [1,3,7,2,6,8,4,5]=>[7,6,8,1,3,2,4,5]=>[5,4,2,3,1,8,6,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [3,6,5,2,8,1,4,7]=>[6,5,8,3,2,1,4,7]=>[7,4,1,2,3,8,5,6]=>[[1,4,5,6,8],[2,7],[3]]=>13 [3,6,5,7,2,4,1,8]=>[6,5,7,3,2,4,1,8]=>[8,1,4,2,3,7,5,6]=>[[1,3,5,6,8],[2,7],[4]]=>14 [4,2,6,3,8,1,5,7]=>[4,6,2,8,3,1,5,7]=>[7,5,1,3,8,2,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [4,2,6,7,3,5,1,8]=>[4,6,2,7,3,5,1,8]=>[8,1,5,3,7,2,6,4]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [3,6,2,4,7,5,1,8]=>[3,2,6,7,4,5,1,8]=>[8,1,5,4,7,6,2,3]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [3,6,2,4,1,8,5,7]=>[3,2,6,8,4,1,5,7]=>[7,5,1,4,8,6,2,3]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [8,7,6,4,3,1,5,2]=>[1,4,3,8,7,6,5,2]=>[2,5,6,7,8,3,4,1]=>[[1,2,3,4,5],[6,7],[8]]=>24 [8,7,6,4,1,5,2,3]=>[4,1,2,8,7,6,5,3]=>[3,5,6,7,8,2,1,4]=>[[1,2,3,4,5],[6,8],[7]]=>23 [3,8,7,2,1,4,6,5]=>[3,2,8,1,7,6,4,5]=>[5,4,6,7,1,8,2,3]=>[[1,3,4,6],[2,7,8],[5]]=>15 [3,8,2,7,1,5,4,6]=>[3,2,8,7,1,5,4,6]=>[6,4,5,1,7,8,2,3]=>[[1,3,5,6],[2,7,8],[4]]=>14 [3,6,8,2,1,5,4,7]=>[3,2,8,6,5,1,4,7]=>[7,4,1,5,6,8,2,3]=>[[1,4,5,6],[2,7,8],[3]]=>13 [2,4,8,1,6,5,3,7]=>[4,8,2,6,5,1,3,7]=>[7,3,1,5,6,2,8,4]=>[[1,4,5,7],[2,6,8],[3]]=>11 [4,2,8,1,5,7,3,6]=>[4,8,2,7,1,5,3,6]=>[6,3,5,1,7,2,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>12 [8,5,7,6,1,4,2,3]=>[5,1,8,2,7,6,4,3]=>[3,4,6,7,2,8,1,5]=>[[1,2,3,4,6],[5,8],[7]]=>22 [8,6,1,7,3,5,4,2]=>[1,6,8,7,3,5,4,2]=>[2,4,5,3,7,8,6,1]=>[[1,2,3,5,6],[4,7],[8]]=>20 [8,6,1,7,5,4,2,3]=>[6,1,8,7,2,5,4,3]=>[3,4,5,2,7,8,1,6]=>[[1,2,3,5,6],[4,8],[7]]=>21 [1,6,2,8,7,3,5,4]=>[6,8,1,7,2,5,3,4]=>[4,3,5,2,7,1,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [1,8,2,4,6,7,3,5]=>[6,8,7,1,2,4,3,5]=>[5,3,4,2,1,7,8,6]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [2,8,5,4,7,1,3,6]=>[5,8,7,2,1,4,3,6]=>[6,3,4,1,2,7,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>15 [2,1,5,8,6,4,3,7]=>[5,8,6,2,4,1,3,7]=>[7,3,1,4,2,6,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>10 [1,2,5,7,8,4,3,6]=>[7,8,5,4,1,2,3,6]=>[6,3,2,1,4,5,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [1,2,7,4,8,6,3,5]=>[7,8,6,1,4,2,3,5]=>[5,3,2,4,1,6,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [1,2,7,8,3,6,5,4]=>[7,8,1,6,5,2,3,4]=>[4,3,2,5,6,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [7,1,8,6,3,5,4,2]=>[1,7,8,6,5,3,4,2]=>[2,4,3,5,6,8,7,1]=>[[1,2,4,5,6],[3,7],[8]]=>19 [1,8,7,6,3,5,2,4]=>[8,7,1,6,5,3,2,4]=>[4,2,3,5,6,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>18 [7,1,5,8,3,4,6,2]=>[7,1,8,3,5,4,6,2]=>[2,6,4,5,3,8,1,7]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [7,1,6,4,2,3,5,8]=>[1,7,2,4,3,6,5,8]=>[8,5,6,3,4,2,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [8,6,2,4,5,7,3,1]=>[2,6,4,5,8,7,3,1]=>[1,3,7,8,5,4,6,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [7,1,4,5,6,8,2,3]=>[4,5,7,6,1,2,8,3]=>[3,8,2,1,6,7,5,4]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [7,1,4,6,5,8,3,2]=>[7,4,6,5,8,1,3,2]=>[2,3,1,8,5,6,4,7]=>[[1,2,4,6,8],[3,5],[7]]=>16 [7,1,2,3,8,5,4,6]=>[7,5,1,2,3,4,8,6]=>[6,8,4,3,2,1,5,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [7,1,5,4,3,8,2,6]=>[5,4,3,7,1,2,8,6]=>[6,8,2,1,7,3,4,5]=>[[1,2,7,8],[3,5],[4,6]]=>14 [7,1,5,4,6,2,8,3]=>[7,5,1,4,2,6,8,3]=>[3,8,6,2,4,1,5,7]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [7,1,5,6,4,3,8,2]=>[5,7,6,4,1,3,8,2]=>[2,8,3,1,4,6,7,5]=>[[1,2,5,6,7],[3,8],[4]]=>16 [7,1,6,5,4,3,2,8]=>[7,6,5,4,1,3,2,8]=>[8,2,3,1,4,5,6,7]=>[[1,3,5,6,7,8],[2],[4]]=>16 [8,6,2,5,4,3,7,1]=>[6,5,2,4,3,8,7,1]=>[1,7,8,3,4,2,5,6]=>[[1,2,3,7,8],[4,5],[6]]=>20 [2,5,1,7,4,3,6,8]=>[5,2,7,4,1,3,6,8]=>[8,6,3,1,4,7,2,5]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [3,5,1,4,8,6,2,7]=>[8,3,5,1,4,6,2,7]=>[7,2,6,4,1,5,3,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [5,6,2,4,8,7,1,3]=>[2,5,6,8,4,1,7,3]=>[3,7,1,4,8,6,5,2]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [6,5,7,8,2,4,1,3]=>[6,5,2,7,1,8,4,3]=>[3,4,8,1,7,2,5,6]=>[[1,2,3,8],[4,5,7],[6]]=>20 [6,3,4,2,8,5,1,7]=>[3,4,6,2,8,5,1,7]=>[7,1,5,8,2,6,4,3]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [3,4,7,2,5,8,1,6]=>[3,7,4,8,2,5,1,6]=>[6,1,5,2,8,4,7,3]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [4,6,8,1,3,5,2,7]=>[4,1,8,6,3,5,2,7]=>[7,2,5,3,6,8,1,4]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [4,3,8,1,2,7,5,6]=>[4,3,1,8,7,2,5,6]=>[6,5,2,7,8,1,3,4]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [2,8,3,1,5,6,4,7]=>[8,2,3,1,5,6,4,7]=>[7,4,6,5,1,3,2,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [3,8,7,1,5,4,2,6]=>[8,1,3,7,5,4,2,6]=>[6,2,4,5,7,3,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>16 [4,3,1,7,6,8,2,5]=>[4,7,3,6,1,8,2,5]=>[5,2,8,1,6,3,7,4]=>[[1,3,7],[2,5,8],[4,6]]=>12 [4,7,8,1,2,3,6,5]=>[1,2,7,4,8,6,3,5]=>[5,3,6,8,4,7,2,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [2,8,6,1,5,3,7,4]=>[6,2,1,5,8,7,3,4]=>[4,3,7,8,5,1,2,6]=>[[1,3,4],[2,5,8],[6,7]]=>14 [7,6,5,1,3,4,8,2]=>[1,7,3,6,5,4,8,2]=>[2,8,4,5,6,3,7,1]=>[[1,2,4,5,7],[3],[6],[8]]=>18 [7,2,6,4,1,3,8,5]=>[7,2,1,4,3,6,8,5]=>[5,8,6,3,4,1,2,7]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [6,7,5,2,1,3,8,4]=>[2,1,6,3,7,5,8,4]=>[4,8,5,7,3,6,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [8,4,5,3,7,2,6,1]=>[4,5,8,3,2,7,6,1]=>[1,6,7,2,3,8,5,4]=>[[1,2,3,6],[4,5,7],[8]]=>20 [7,3,8,4,1,5,2,6]=>[3,1,7,4,5,2,8,6]=>[6,8,2,5,4,7,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [4,8,5,2,7,1,3,6]=>[4,5,2,1,8,7,3,6]=>[6,3,7,8,1,2,5,4]=>[[1,3,4],[2,6,7],[5,8]]=>16 [6,3,5,2,1,7,4,8]=>[6,3,2,1,5,7,4,8]=>[8,4,7,5,1,2,3,6]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [6,8,5,3,1,4,2,7]=>[1,3,8,6,5,4,2,7]=>[7,2,4,5,6,8,3,1]=>[[1,3,4,5,6],[2],[7],[8]]=>18 [1,6,4,7,2,5,3,8]=>[4,1,6,7,5,2,3,8]=>[8,3,2,5,7,6,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [1,6,4,8,2,5,3,7]=>[1,6,4,8,5,2,3,7]=>[7,3,2,5,8,4,6,1]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [1,6,8,2,4,3,7,5]=>[6,1,2,8,4,7,3,5]=>[5,3,7,4,8,2,1,6]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [1,6,2,4,3,7,8,5]=>[6,1,2,4,7,8,3,5]=>[5,3,8,7,4,2,1,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [1,5,6,2,4,7,3,8]=>[1,5,6,4,7,2,3,8]=>[8,3,2,7,4,6,5,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [1,5,6,2,4,7,8,3]=>[1,5,6,4,7,8,2,3]=>[3,2,8,7,4,6,5,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [1,5,7,2,4,8,3,6]=>[7,1,5,8,4,2,3,6]=>[6,3,2,4,8,5,1,7]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [1,5,6,7,2,4,8,3]=>[5,1,6,7,4,8,2,3]=>[3,2,8,4,7,6,1,5]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [1,5,8,2,4,6,7,3]=>[1,8,5,4,6,7,2,3]=>[3,2,7,6,4,5,8,1]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [1,5,7,2,4,6,8,3]=>[5,1,7,4,6,8,2,3]=>[3,2,8,6,4,7,1,5]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [1,5,8,3,2,4,6,7]=>[8,1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [1,7,6,2,8,3,4,5]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [1,7,3,4,2,8,6,5]=>[1,3,7,8,4,6,2,5]=>[5,2,6,4,8,7,3,1]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [1,5,8,7,3,2,4,6]=>[8,1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>13 [1,4,2,3,5,8,7,6]=>[8,1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [1,5,2,3,4,8,7,6]=>[8,1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [1,7,4,2,8,6,5,3]=>[7,8,1,4,6,5,2,3]=>[3,2,5,6,4,1,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>13 [1,7,5,6,2,8,3,4]=>[1,5,7,6,2,8,3,4]=>[4,3,8,2,6,7,5,1]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [1,5,7,6,2,4,8,3]=>[5,7,1,6,4,8,2,3]=>[3,2,8,4,6,1,7,5]=>[[1,3,5,7],[2,4],[6,8]]=>12 [1,6,5,2,3,7,4,8]=>[1,2,6,5,7,3,4,8]=>[8,4,3,7,5,6,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [1,6,5,2,3,7,8,4]=>[1,2,6,5,7,8,3,4]=>[4,3,8,7,5,6,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [1,6,8,4,2,3,7,5]=>[1,6,2,8,4,7,3,5]=>[5,3,7,4,8,2,6,1]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [1,7,4,6,2,8,3,5]=>[7,6,4,1,2,8,3,5]=>[5,3,8,2,1,4,6,7]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [1,7,3,5,2,8,4,6]=>[7,3,5,1,2,8,4,6]=>[6,4,8,2,1,5,3,7]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [1,6,8,5,2,3,7,4]=>[1,2,8,6,5,7,3,4]=>[4,3,7,5,6,8,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [1,6,4,2,3,7,8,5]=>[1,6,2,4,7,8,3,5]=>[5,3,8,7,4,2,6,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [1,6,4,2,3,7,5,8]=>[1,6,2,4,7,3,5,8]=>[8,5,3,7,4,2,6,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [1,5,7,3,2,4,8,6]=>[7,1,5,3,8,2,4,6]=>[6,4,2,8,3,5,1,7]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [1,7,3,4,2,8,5,6]=>[3,4,7,1,2,8,5,6]=>[6,5,8,2,1,7,4,3]=>[[1,3],[2,6],[4,7],[5,8]]=>9 [1,7,6,4,2,8,5,3]=>[1,4,7,6,8,5,2,3]=>[3,2,5,8,6,7,4,1]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [1,7,5,2,8,6,4,3]=>[1,7,8,5,6,4,2,3]=>[3,2,4,6,5,8,7,1]=>[[1,3,4,6],[2,5,7],[8]]=>14 [1,6,4,2,3,8,7,5]=>[1,6,8,2,4,7,3,5]=>[5,3,7,4,2,8,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [3,7,5,6,1,4,8,2]=>[5,3,7,6,1,4,8,2]=>[2,8,4,1,6,7,3,5]=>[[1,2,5,6],[3,7,8],[4]]=>15 [8,2,4,1,6,7,5,3]=>[8,2,1,6,7,4,5,3]=>[3,5,4,7,6,1,2,8]=>[[1,2,4,8],[3,5],[6,7]]=>15 [8,6,1,4,2,7,5,3]=>[1,2,4,8,6,7,5,3]=>[3,5,7,6,8,4,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>17 [3,6,1,4,2,8,5,7]=>[1,3,6,8,4,2,5,7]=>[7,5,2,4,8,6,3,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [1,6,7,4,3,5,8,2]=>[6,4,3,7,5,8,1,2]=>[2,1,8,5,7,3,4,6]=>[[1,3,5,8],[2,4,7],[6]]=>13 [6,7,1,4,3,5,8,2]=>[6,4,1,3,7,5,8,2]=>[2,8,5,7,3,1,4,6]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [3,5,4,1,6,7,8,2]=>[5,3,1,4,6,7,8,2]=>[2,8,7,6,4,1,3,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [3,1,4,7,6,5,8,2]=>[7,6,1,3,4,5,8,2]=>[2,8,5,4,3,1,6,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>10 [6,1,7,4,3,5,8,2]=>[1,6,7,4,3,5,8,2]=>[2,8,5,3,4,7,6,1]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [7,1,6,4,3,5,8,2]=>[7,1,6,4,3,5,8,2]=>[2,8,5,3,4,6,1,7]=>[[1,2,5,6,8],[3],[4],[7]]=>15 [1,7,6,4,3,5,8,2]=>[4,3,7,6,5,8,1,2]=>[2,1,8,5,6,7,3,4]=>[[1,3,5,6],[2,4,8],[7]]=>14 [8,1,6,4,2,7,5,3]=>[1,2,6,8,7,4,5,3]=>[3,5,4,7,8,6,2,1]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [8,4,1,3,7,2,5,6]=>[1,4,8,3,2,5,7,6]=>[6,7,5,2,3,8,4,1]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [4,7,1,3,8,2,5,6]=>[4,7,1,3,2,8,5,6]=>[6,5,8,2,3,1,7,4]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [7,4,1,3,8,2,5,6]=>[4,7,1,3,2,5,8,6]=>[6,8,5,2,3,1,7,4]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [4,7,3,1,2,8,5,6]=>[1,4,3,7,2,8,5,6]=>[6,5,8,2,7,3,4,1]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [4,7,8,1,2,6,5,3]=>[1,4,7,8,6,2,5,3]=>[3,5,2,6,8,7,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [6,8,1,4,2,7,5,3]=>[1,6,8,2,4,7,5,3]=>[3,5,7,4,2,8,6,1]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [1,8,6,4,2,7,5,3]=>[1,4,6,8,7,5,2,3]=>[3,2,5,7,8,6,4,1]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [8,7,1,3,6,2,5,4]=>[3,8,7,1,2,6,5,4]=>[4,5,6,2,1,7,8,3]=>[[1,2,3,6,7],[4,8],[5]]=>18 [6,8,5,7,3,2,1,4]=>[8,6,5,3,2,1,7,4]=>[4,7,1,2,3,5,6,8]=>[[1,2,5,6,7,8],[3,4]]=>22 [3,7,4,6,8,2,1,5]=>[7,3,6,8,4,2,1,5]=>[5,1,2,4,8,6,3,7]=>[[1,3,4,5,8],[2,6],[7]]=>16 [2,4,3,7,8,6,1,5]=>[7,8,4,6,2,3,1,5]=>[5,1,3,2,6,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>12 [5,7,6,8,3,2,1,4]=>[7,5,6,3,2,1,8,4]=>[4,8,1,2,3,6,5,7]=>[[1,2,5,6,8],[3,4],[7]]=>20 [3,7,5,4,8,2,1,6]=>[7,3,5,8,4,2,1,6]=>[6,1,2,4,8,5,3,7]=>[[1,3,4,5,8],[2,6],[7]]=>16 [7,1,3,4,2,8,5,6]=>[3,4,7,1,2,5,8,6]=>[6,8,5,2,1,7,4,3]=>[[1,2],[3,6],[4,7],[5,8]]=>10 [4,1,7,3,8,2,5,6]=>[1,7,4,8,3,2,5,6]=>[6,5,2,3,8,4,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [8,1,4,3,7,2,5,6]=>[8,4,3,1,2,5,7,6]=>[6,7,5,2,1,3,4,8]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [8,2,3,4,7,6,1,5]=>[8,7,2,3,4,1,6,5]=>[5,6,1,4,3,2,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [5,7,2,6,3,8,1,4]=>[5,2,7,3,6,1,8,4]=>[4,8,1,6,3,7,2,5]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [7,2,5,6,8,4,1,3]=>[5,7,6,8,2,1,4,3]=>[3,4,1,2,8,6,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>18 [4,2,3,8,5,6,1,7]=>[2,8,4,3,5,6,1,7]=>[7,1,6,5,3,4,8,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>11 [6,1,8,3,7,2,5,4]=>[8,6,1,3,7,2,5,4]=>[4,5,2,7,3,1,6,8]=>[[1,2,4,8],[3,5,7],[6]]=>15 [4,7,1,8,2,5,6,3]=>[7,4,1,8,2,5,6,3]=>[3,6,5,2,8,1,4,7]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [1,4,8,3,6,2,5,7]=>[4,8,6,1,3,2,5,7]=>[7,5,2,3,1,6,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [6,5,8,7,3,2,1,4]=>[6,8,5,3,2,1,7,4]=>[4,7,1,2,3,5,8,6]=>[[1,2,5,6,7],[3,4,8]]=>21 [8,5,7,6,3,2,1,4]=>[8,5,3,2,1,7,6,4]=>[4,6,7,1,2,3,5,8]=>[[1,2,3,7,8],[4,5,6]]=>23 [3,7,5,8,6,2,1,4]=>[5,7,8,6,3,2,1,4]=>[4,1,2,3,6,8,7,5]=>[[1,3,4,5,6],[2,7],[8]]=>18 [3,7,8,6,5,2,1,4]=>[7,8,6,5,3,2,1,4]=>[4,1,2,3,5,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>20 [5,7,6,8,3,4,1,2]=>[7,5,6,3,1,8,4,2]=>[2,4,8,1,3,6,5,7]=>[[1,2,3,8],[4,5,6],[7]]=>21 [1,5,4,7,6,8,2,3]=>[5,7,4,6,1,8,2,3]=>[3,2,8,1,6,4,7,5]=>[[1,3,7],[2,5,8],[4,6]]=>12 [1,7,4,6,5,8,2,3]=>[7,4,6,5,1,8,2,3]=>[3,2,8,1,5,6,4,7]=>[[1,3,6,8],[2,5],[4,7]]=>14 [3,8,4,6,5,7,1,2]=>[8,3,4,6,5,1,7,2]=>[2,7,1,5,6,4,3,8]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [3,6,4,7,5,8,1,2]=>[3,6,7,4,5,1,8,2]=>[2,8,1,5,4,7,6,3]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [1,6,2,7,5,8,3,4]=>[6,7,5,1,2,8,3,4]=>[4,3,8,2,1,5,7,6]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [1,6,4,8,5,7,2,3]=>[6,4,8,5,1,7,2,3]=>[3,2,7,1,5,8,4,6]=>[[1,3,6],[2,5,8],[4,7]]=>14 [1,8,4,6,5,7,2,3]=>[6,4,5,1,8,7,2,3]=>[3,2,7,8,1,5,4,6]=>[[1,3,4],[2,6,8],[5,7]]=>15 [1,5,4,8,6,7,2,3]=>[8,5,4,6,1,7,2,3]=>[3,2,7,1,6,4,5,8]=>[[1,3,7,8],[2,5],[4,6]]=>13 [7,8,1,5,4,6,2,3]=>[7,5,4,1,2,8,6,3]=>[3,6,8,2,1,4,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>19 [7,8,1,5,2,4,3,6]=>[7,1,5,2,4,3,8,6]=>[6,8,3,4,2,5,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [1,8,2,6,5,7,3,4]=>[8,6,1,5,2,7,3,4]=>[4,3,7,2,5,1,6,8]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [1,7,2,6,5,8,3,4]=>[7,6,5,1,2,8,3,4]=>[4,3,8,2,1,5,6,7]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [1,5,2,7,6,8,3,4]=>[7,5,6,1,2,8,3,4]=>[4,3,8,2,1,6,5,7]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [1,7,6,8,4,5,2,3]=>[7,6,4,1,8,5,2,3]=>[3,2,5,8,1,4,6,7]=>[[1,3,4,8],[2,6,7],[5]]=>17 [5,7,6,8,1,4,2,3]=>[5,7,1,6,2,8,4,3]=>[3,4,8,2,6,1,7,5]=>[[1,2,3,7],[4,5],[6,8]]=>19 [7,8,5,6,1,3,2,4]=>[7,1,5,3,2,8,6,4]=>[4,6,8,2,3,5,1,7]=>[[1,2,3,8],[4,5,6],[7]]=>21 [7,8,1,3,2,6,4,5]=>[3,7,1,2,4,8,6,5]=>[5,6,8,4,2,1,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [7,8,1,4,2,5,3,6]=>[1,2,7,4,5,3,8,6]=>[6,8,3,5,4,7,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [7,8,2,1,4,3,6,5]=>[2,4,1,3,7,8,6,5]=>[5,6,8,7,3,1,4,2]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [7,8,1,2,4,3,5,6]=>[4,1,2,3,7,5,8,6]=>[6,8,5,7,3,2,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>13 [4,3,6,5,8,7,1,2]=>[4,6,8,3,5,1,7,2]=>[2,7,1,5,3,8,6,4]=>[[1,2,6],[3,4,7],[5,8]]=>15 [3,4,6,5,7,8,1,2]=>[6,3,4,5,7,1,8,2]=>[2,8,1,7,5,4,3,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [3,1,2,5,6,7,8,9,4]=>[1,3,5,6,7,8,9,2,4]=>[4,2,9,8,7,6,5,3,1]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>7 [1,6,2,3,8,7,4,5]=>[8,6,1,2,3,7,4,5]=>[5,4,7,3,2,1,6,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [1,7,4,3,2,8,6,5]=>[7,1,4,8,3,6,2,5]=>[5,2,6,3,8,4,1,7]=>[[1,3,5,8],[2,4,6],[7]]=>11 [1,4,7,6,2,5,8,3]=>[4,7,6,1,5,8,2,3]=>[3,2,8,5,1,6,7,4]=>[[1,3,6,7],[2,4],[5,8]]=>11 [1,2,6,5,3,7,4,8]=>[1,6,5,7,2,3,4,8]=>[8,4,3,2,7,5,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [1,3,7,5,2,6,8,4]=>[5,3,7,6,8,1,2,4]=>[4,2,1,8,6,7,3,5]=>[[1,4,6],[2,5,8],[3,7]]=>9 [1,3,7,4,2,6,8,5]=>[3,4,7,6,8,1,2,5]=>[5,2,1,8,6,7,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [1,4,7,3,2,5,8,6]=>[7,4,1,3,8,2,5,6]=>[6,5,2,8,3,1,4,7]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [1,5,3,2,4,8,6,7]=>[5,8,1,3,2,4,6,7]=>[7,6,4,2,3,1,8,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [1,7,5,3,2,8,6,4]=>[5,1,3,7,8,6,2,4]=>[4,2,6,8,7,3,1,5]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [1,5,3,2,4,8,7,6]=>[5,8,1,3,7,2,4,6]=>[6,4,2,7,3,1,8,5]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [7,6,5,4,3,1,8,2]=>[1,7,6,5,4,3,8,2]=>[2,8,3,4,5,6,7,1]=>[[1,2,4,5,6,7],[3],[8]]=>21 [6,8,5,4,3,2,1,7]=>[8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8]=>[[1,3,4,5,6,7,8],[2]]=>21 [7,9,6,5,4,3,2,1,8]=>[9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,9]=>[[1,3,4,5,6,7,8,9],[2]]=>28 [9,8,7,6,5,4,3,1,10,2]=>[1,9,8,7,6,5,4,3,10,2]=>[2,10,3,4,5,6,7,8,9,1]=>[[1,2,4,5,6,7,8,9],[3],[10]]=>36 [7,1,5,4,3,8,6,2]=>[7,5,1,4,8,3,6,2]=>[2,6,3,8,4,1,5,7]=>[[1,2,4,7,8],[3,5],[6]]=>15 [3,6,5,4,8,1,7,2]=>[6,5,3,4,8,1,7,2]=>[2,7,1,8,4,3,5,6]=>[[1,2,4,8],[3,5,7],[6]]=>15 [2,8,5,4,3,7,1,6]=>[8,2,5,4,7,3,1,6]=>[6,1,3,7,4,5,2,8]=>[[1,3,4,6,8],[2,5],[7]]=>15 [8,10,7,6,5,4,3,2,1,9]=>[10,8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>36 [1,8,2,4,3,7,6,5]=>[8,1,7,2,4,6,3,5]=>[5,3,6,4,2,7,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [1,4,5,8,3,7,6,2]=>[4,8,5,7,3,6,1,2]=>[2,1,6,3,7,5,8,4]=>[[1,3,5,7],[2,4,6],[8]]=>12 [6,8,2,4,3,7,1,5]=>[6,2,4,8,3,1,7,5]=>[5,7,1,3,8,4,2,6]=>[[1,2,5,8],[3,4,6],[7]]=>17 [1,8,3,4,7,2,6,5]=>[1,8,3,7,4,6,2,5]=>[5,2,6,4,7,3,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [7,5,8,4,3,2,1,6]=>[5,7,4,3,2,1,8,6]=>[6,8,1,2,3,4,7,5]=>[[1,2,5,6,7],[3,4],[8]]=>21 [4,8,5,7,3,2,1,6]=>[8,4,7,5,3,2,1,6]=>[6,1,2,3,5,7,4,8]=>[[1,3,4,5,6,8],[2],[7]]=>19 [6,4,8,5,2,7,1,3]=>[6,4,2,8,5,1,7,3]=>[3,7,1,5,8,2,4,6]=>[[1,2,5,8],[3,4,7],[6]]=>19 [5,1,8,6,7,4,3,2]=>[5,8,6,7,4,1,3,2]=>[2,3,1,4,7,6,8,5]=>[[1,2,4,5,7],[3,6],[8]]=>18 [8,4,7,5,2,6,1,3]=>[4,2,8,5,1,7,6,3]=>[3,6,7,1,5,8,2,4]=>[[1,2,3,6],[4,5,8],[7]]=>21 [6,4,5,8,1,2,7,3]=>[4,1,6,5,8,2,7,3]=>[3,7,2,8,5,6,1,4]=>[[1,2,4],[3,5,6],[7,8]]=>16 [7,4,6,5,2,1,8,3]=>[7,4,2,1,6,5,8,3]=>[3,8,5,6,1,2,4,7]=>[[1,2,4,8],[3,6,7],[5]]=>18 [8,4,6,5,2,1,7,3]=>[6,4,2,1,5,8,7,3]=>[3,7,8,5,1,2,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>19 [4,8,7,5,6,1,3,2]=>[4,1,8,7,5,6,3,2]=>[2,3,6,5,7,8,1,4]=>[[1,2,3,5,6],[4,8],[7]]=>21 [2,8,6,7,4,3,5,1]=>[2,6,8,7,4,3,5,1]=>[1,5,3,4,7,8,6,2]=>[[1,2,4,5,6],[3,7],[8]]=>19 [3,6,5,2,4,1,8,7]=>[6,5,3,2,4,8,1,7]=>[7,1,8,4,2,3,5,6]=>[[1,3,6,7,8],[2,4],[5]]=>12 [5,2,3,6,4,1,8,7]=>[2,3,5,6,4,8,1,7]=>[7,1,8,4,6,5,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [3,8,7,1,4,6,5,2]=>[3,8,7,1,6,4,5,2]=>[2,5,4,6,1,7,8,3]=>[[1,2,4,6,7],[3,8],[5]]=>17 [5,7,1,2,4,3,8,6]=>[7,1,2,5,4,8,3,6]=>[6,3,8,4,5,2,1,7]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [5,3,6,8,1,7,2,4]=>[3,5,6,1,8,2,7,4]=>[4,7,2,8,1,6,5,3]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [6,3,7,2,4,8,5,1]=>[6,3,2,4,7,8,5,1]=>[1,5,8,7,4,2,3,6]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [7,4,8,6,5,2,1,3]=>[7,8,4,2,1,6,5,3]=>[3,5,6,1,2,4,8,7]=>[[1,2,3,7],[4,5,6,8]]=>22 [2,5,3,7,4,1,8,6]=>[5,2,7,3,4,8,1,6]=>[6,1,8,4,3,7,2,5]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [3,6,4,7,5,1,8,2]=>[3,6,7,4,1,5,8,2]=>[2,8,5,1,4,7,6,3]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [8,4,7,1,2,5,6,3]=>[4,1,8,2,5,7,6,3]=>[3,6,7,5,2,8,1,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [7,4,3,8,2,5,6,1]=>[4,7,3,2,5,8,6,1]=>[1,6,8,5,2,3,7,4]=>[[1,2,3,7],[4,6],[5,8]]=>18 [7,4,3,2,8,5,6,1]=>[4,3,7,2,5,8,6,1]=>[1,6,8,5,2,7,3,4]=>[[1,2,3,8],[4,6],[5,7]]=>17 [3,4,7,2,8,5,6,1]=>[3,7,8,4,2,5,6,1]=>[1,6,5,2,4,8,7,3]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [3,7,1,4,8,5,6,2]=>[3,7,1,8,4,5,6,2]=>[2,6,5,4,8,1,7,3]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [7,2,3,4,8,5,6,1]=>[7,2,3,4,5,8,6,1]=>[1,6,8,5,4,3,2,7]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [2,1,8,3,6,7,5,4]=>[2,8,6,7,5,1,3,4]=>[4,3,1,5,7,6,8,2]=>[[1,4,5,7],[2,6],[3,8]]=>11 [8,2,1,6,4,7,5,3]=>[6,2,8,7,1,4,5,3]=>[3,5,4,1,7,8,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>15 [7,8,2,6,4,1,5,3]=>[7,2,1,8,4,6,5,3]=>[3,5,6,4,8,1,2,7]=>[[1,2,3,5],[4,7,8],[6]]=>20 [2,6,3,5,8,7,1,4]=>[6,8,2,5,7,3,1,4]=>[4,1,3,7,5,2,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>13 [4,5,2,7,6,1,8,3]=>[4,7,2,5,1,6,8,3]=>[3,8,6,1,5,2,7,4]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [3,6,8,7,5,2,1,4]=>[8,6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6,8]=>[[1,3,4,5,6,8],[2,7]]=>19 [7,4,8,6,5,2,3,1]=>[7,8,4,2,6,5,3,1]=>[1,3,5,6,2,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>23 [8,1,6,4,7,3,2,5]=>[4,8,6,1,3,2,7,5]=>[5,7,2,3,1,6,8,4]=>[[1,2,6,7],[3,4],[5,8]]=>17 [7,6,4,1,2,3,8,5]=>[1,2,4,3,7,6,8,5]=>[5,8,6,7,3,4,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [7,3,5,8,4,2,1,6]=>[5,7,3,4,2,1,8,6]=>[6,8,1,2,4,3,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>18 [3,2,5,8,4,1,7,6]=>[3,8,5,2,4,7,1,6]=>[6,1,7,4,2,5,8,3]=>[[1,3,6,7],[2,4],[5,8]]=>11 [4,8,7,5,6,1,2,3]=>[4,1,8,7,5,2,6,3]=>[3,6,2,5,7,8,1,4]=>[[1,2,5,6],[3,4],[7,8]]=>20 [4,7,8,1,3,5,6,2]=>[4,1,7,3,8,5,6,2]=>[2,6,5,8,3,7,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [4,8,2,7,3,5,6,1]=>[2,8,4,3,7,5,6,1]=>[1,6,5,7,3,4,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [3,8,1,7,2,5,6,4]=>[8,3,1,5,7,6,2,4]=>[4,2,6,7,5,1,3,8]=>[[1,3,4,8],[2,5],[6,7]]=>14 [6,4,8,7,1,3,2,5]=>[4,8,1,6,3,2,7,5]=>[5,7,2,3,6,1,8,4]=>[[1,2,5,7],[3,4],[6,8]]=>18 [2,8,4,6,7,3,1,5]=>[6,8,7,2,4,3,1,5]=>[5,1,3,4,2,7,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>16 [4,3,8,2,7,6,1,5]=>[4,8,7,3,6,2,1,5]=>[5,1,2,6,3,7,8,4]=>[[1,3,4,6,7],[2,5,8]]=>16 [6,8,4,2,1,3,7,5]=>[2,1,6,4,8,3,7,5]=>[5,7,3,8,4,6,1,2]=>[[1,2,4],[3,5,6],[7,8]]=>16 [8,1,2,7,3,5,6,4]=>[1,8,2,7,3,5,6,4]=>[4,6,5,3,7,2,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>13 [6,4,1,3,2,8,5,7]=>[4,1,3,6,2,8,5,7]=>[7,5,8,2,6,3,1,4]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [5,3,8,6,2,1,4,7]=>[5,8,3,2,1,6,4,7]=>[7,4,6,1,2,3,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>15 [4,6,5,2,8,3,1,7]=>[6,4,5,2,8,3,1,7]=>[7,1,3,8,2,5,4,6]=>[[1,3,4,8],[2,6],[5,7]]=>15 [6,8,5,2,7,4,3,1]=>[6,2,8,5,7,4,3,1]=>[1,3,4,7,5,8,2,6]=>[[1,2,3,4,6],[5,8],[7]]=>22 [7,2,5,4,3,8,1,6]=>[5,4,2,3,7,1,8,6]=>[6,8,1,7,3,2,4,5]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [3,6,8,1,4,5,2,7]=>[8,3,1,6,4,5,2,7]=>[7,2,5,4,6,1,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [6,8,1,2,4,5,3,7]=>[1,8,2,4,6,5,3,7]=>[7,3,5,6,4,2,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>13 [8,1,6,2,4,5,3,7]=>[1,6,4,5,2,3,8,7]=>[7,8,3,2,5,4,6,1]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [5,8,1,6,2,3,4,7]=>[1,5,2,3,8,6,4,7]=>[7,4,6,8,3,2,5,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [4,3,8,6,2,5,1,7]=>[4,8,6,3,2,5,1,7]=>[7,1,5,2,3,6,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>15 [8,3,6,1,4,5,2,7]=>[6,3,1,4,5,2,8,7]=>[7,8,2,5,4,1,3,6]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [6,3,8,7,4,2,5,1]=>[8,6,3,4,2,7,5,1]=>[1,5,7,2,4,3,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>20 [5,8,4,3,7,6,1,2]=>[5,4,8,7,3,1,6,2]=>[2,6,1,3,7,8,4,5]=>[[1,2,5,6],[3,4,7,8]]=>20 [8,7,4,3,1,6,2,5]=>[4,3,1,8,2,7,6,5]=>[5,6,7,2,8,1,3,4]=>[[1,2,3,5],[4,7,8],[6]]=>20 [1,7,4,3,8,6,2,5]=>[4,7,8,6,1,3,2,5]=>[5,2,3,1,6,8,7,4]=>[[1,3,5,6],[2,7],[4,8]]=>13 [7,1,5,3,4,8,2,6]=>[3,5,4,7,1,2,8,6]=>[6,8,2,1,7,4,5,3]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [2,8,6,1,7,4,5,3]=>[6,2,4,8,7,5,1,3]=>[3,1,5,7,8,4,2,6]=>[[1,3,4,5],[2,6,8],[7]]=>16 [4,7,6,8,2,1,5,3]=>[7,6,4,2,8,1,5,3]=>[3,5,1,8,2,4,6,7]=>[[1,2,4,7,8],[3,5,6]]=>18 [6,1,8,7,4,3,5,2]=>[6,8,1,7,4,3,5,2]=>[2,5,3,4,7,1,8,6]=>[[1,2,4,5,7],[3,8],[6]]=>18 [1,5,8,6,3,4,7,2]=>[5,3,8,6,4,7,1,2]=>[2,1,7,4,6,8,3,5]=>[[1,3,5,6],[2,4,8],[7]]=>14 [2,5,8,6,3,4,7,1]=>[5,2,8,6,3,4,7,1]=>[1,7,4,3,6,8,2,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [6,5,8,4,3,1,7,2]=>[6,1,8,5,4,3,7,2]=>[2,7,3,4,5,8,1,6]=>[[1,2,4,5,6],[3,8],[7]]=>20 [1,8,5,2,3,6,7,4]=>[1,2,5,6,8,7,3,4]=>[4,3,7,8,6,5,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [2,8,3,1,5,6,7,4]=>[2,3,5,6,8,7,1,4]=>[4,1,7,8,6,5,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [8,2,3,1,5,6,7,4]=>[2,8,3,1,5,6,7,4]=>[4,7,6,5,1,3,8,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [2,1,8,3,5,6,7,4]=>[2,5,6,8,7,1,3,4]=>[4,3,1,7,8,6,5,2]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [1,4,8,2,3,6,7,5]=>[1,4,6,8,7,2,3,5]=>[5,3,2,7,8,6,4,1]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [3,1,2,7,8,6,4,5]=>[7,8,3,1,6,2,4,5]=>[5,4,2,6,1,3,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [4,5,8,1,2,3,7,6]=>[1,4,2,8,5,7,3,6]=>[6,3,7,5,8,2,4,1]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [3,8,4,1,2,6,7,5]=>[3,1,4,6,8,7,2,5]=>[5,2,7,8,6,4,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [5,4,8,2,3,6,7,1]=>[2,8,5,4,3,6,7,1]=>[1,7,6,3,4,5,8,2]=>[[1,2,5,6,7],[3],[4],[8]]=>16 [5,8,3,6,7,4,1,2]=>[8,5,3,6,1,7,4,2]=>[2,4,7,1,6,3,5,8]=>[[1,2,3,8],[4,5,7],[6]]=>20 [8,4,1,3,6,2,7,5]=>[1,4,8,3,2,6,7,5]=>[5,7,6,2,3,8,4,1]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [6,8,5,1,7,2,3,4]=>[1,8,2,6,5,3,7,4]=>[4,7,3,5,6,2,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [7,3,6,5,8,2,1,4]=>[7,6,3,5,2,1,8,4]=>[4,8,1,2,5,3,6,7]=>[[1,2,5,7,8],[3,4],[6]]=>19 [7,6,3,5,8,2,1,4]=>[7,3,6,5,2,1,8,4]=>[4,8,1,2,5,6,3,7]=>[[1,2,5,6,8],[3,4],[7]]=>20 [4,5,8,7,3,6,1,2]=>[8,7,4,5,3,1,6,2]=>[2,6,1,3,5,4,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>19 [3,5,2,8,6,1,7,4]=>[8,5,3,6,2,7,1,4]=>[4,1,7,2,6,3,5,8]=>[[1,3,5,7,8],[2,4],[6]]=>13 [8,2,5,6,1,4,7,3]=>[2,1,8,5,6,4,7,3]=>[3,7,4,6,5,8,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [8,6,5,4,1,2,7,3]=>[1,2,6,5,4,8,7,3]=>[3,7,8,4,5,6,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [2,6,1,8,3,7,5,4]=>[6,8,2,7,1,5,3,4]=>[4,3,5,1,7,2,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>12 [4,7,1,6,2,8,5,3]=>[4,7,1,6,8,2,5,3]=>[3,5,2,8,6,1,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>14 [6,1,5,3,8,7,2,4]=>[3,6,8,5,1,2,7,4]=>[4,7,2,1,5,8,6,3]=>[[1,2,6],[3,5,7],[4,8]]=>14 [2,8,6,3,7,1,5,4]=>[6,2,3,8,7,5,1,4]=>[4,1,5,7,8,3,2,6]=>[[1,3,4,5],[2,6,8],[7]]=>16 [5,1,4,8,2,6,7,3]=>[5,8,4,1,2,6,7,3]=>[3,7,6,2,1,4,8,5]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [3,4,8,5,2,6,7,1]=>[3,4,8,5,2,6,7,1]=>[1,7,6,2,5,8,4,3]=>[[1,2,5,6],[3],[4],[7],[8]]=>14 [7,2,1,5,8,6,3,4]=>[2,7,8,5,1,3,6,4]=>[4,6,3,1,5,8,7,2]=>[[1,2,6],[3,5,7],[4,8]]=>14 [2,8,4,5,1,6,7,3]=>[4,5,2,6,8,7,1,3]=>[3,1,7,8,6,2,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [3,1,5,8,6,2,7,4]=>[3,8,5,1,6,7,2,4]=>[4,2,7,6,1,5,8,3]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [6,3,4,8,5,1,7,2]=>[6,3,4,1,8,5,7,2]=>[2,7,5,8,1,4,3,6]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [5,3,4,8,1,6,7,2]=>[3,5,8,4,1,6,7,2]=>[2,7,6,1,4,8,5,3]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [7,6,1,2,8,3,5,4]=>[1,7,2,3,6,8,5,4]=>[4,5,8,6,3,2,7,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>15 [7,5,8,4,1,2,6,3]=>[1,5,2,7,4,8,6,3]=>[3,6,8,4,7,2,5,1]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [7,5,8,4,6,1,3,2]=>[5,1,7,4,8,6,3,2]=>[2,3,6,8,4,7,1,5]=>[[1,2,3,4],[5,6],[7,8]]=>22 [6,5,4,8,1,2,7,3]=>[1,6,5,4,8,2,7,3]=>[3,7,2,8,4,5,6,1]=>[[1,2,4,7],[3,5,6],[8]]=>17 [7,5,1,6,2,3,8,4]=>[1,5,2,3,7,6,8,4]=>[4,8,6,7,3,2,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [6,5,4,1,8,2,7,3]=>[6,1,5,4,8,2,7,3]=>[3,7,2,8,4,5,1,6]=>[[1,2,4,8],[3,5,6],[7]]=>16 [6,5,4,7,1,2,8,3]=>[1,6,5,4,2,7,8,3]=>[3,8,7,2,4,5,6,1]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [6,5,4,7,8,1,3,2]=>[6,5,4,1,7,8,3,2]=>[2,3,8,7,1,4,5,6]=>[[1,2,3,7,8],[4,6],[5]]=>19 [7,5,1,4,8,3,2,6]=>[5,4,7,1,3,2,8,6]=>[6,8,2,3,1,7,4,5]=>[[1,2,6,8],[3,4],[5,7]]=>16 [8,1,6,4,7,3,5,2]=>[1,8,6,7,4,3,5,2]=>[2,5,3,4,7,6,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>18 [7,5,1,4,8,3,6,2]=>[5,4,7,1,3,8,6,2]=>[2,6,8,3,1,7,4,5]=>[[1,2,3,8],[4,6],[5,7]]=>17 [6,5,3,7,1,4,8,2]=>[3,1,6,5,7,4,8,2]=>[2,8,4,7,5,6,1,3]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [8,1,5,4,3,7,2,6]=>[5,4,8,3,1,2,7,6]=>[6,7,2,1,3,8,4,5]=>[[1,2,6,8],[3,5,7],[4]]=>15 [7,4,1,5,3,8,2,6]=>[4,5,1,3,7,2,8,6]=>[6,8,2,7,3,1,5,4]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [7,4,1,5,3,2,6,8]=>[4,5,1,3,2,7,6,8]=>[8,6,7,2,3,1,5,4]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [8,1,5,4,3,2,6,7]=>[5,4,3,1,2,6,8,7]=>[7,8,6,2,1,3,4,5]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [6,5,3,1,2,7,4,8]=>[1,3,2,6,5,7,4,8]=>[8,4,7,5,6,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [7,6,8,1,4,3,2,5]=>[7,6,1,4,3,2,8,5]=>[5,8,2,3,4,1,6,7]=>[[1,2,5,7,8],[3,4],[6]]=>19 [8,1,7,2,5,4,3,6]=>[8,5,1,2,4,3,7,6]=>[6,7,3,4,2,1,5,8]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [8,1,7,2,5,4,6,3]=>[8,1,7,2,5,4,6,3]=>[3,6,4,5,2,7,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>16 [7,6,1,2,5,4,8,3]=>[7,6,1,2,5,4,8,3]=>[3,8,4,5,2,1,6,7]=>[[1,2,4,7,8],[3],[5],[6]]=>15 [6,5,3,8,1,4,7,2]=>[3,6,5,1,8,4,7,2]=>[2,7,4,8,1,5,6,3]=>[[1,2,4,7],[3,6],[5,8]]=>17 [6,4,3,1,5,2,8,7]=>[1,4,3,6,5,8,2,7]=>[7,2,8,5,6,3,4,1]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [6,4,3,1,5,7,2,8]=>[1,4,3,6,5,7,2,8]=>[8,2,7,5,6,3,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [8,1,5,4,3,6,2,7]=>[5,4,3,6,1,2,8,7]=>[7,8,2,1,6,3,4,5]=>[[1,2,7,8],[3,5],[4,6]]=>14 [6,4,3,1,5,7,8,2]=>[1,4,3,6,5,7,8,2]=>[2,8,7,5,6,3,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [6,7,3,8,4,5,1,2]=>[3,6,7,4,1,8,5,2]=>[2,5,8,1,4,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [6,7,4,5,1,8,2,3]=>[1,6,4,7,5,2,8,3]=>[3,8,2,5,7,4,6,1]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [4,7,5,6,2,3,1,8]=>[4,7,5,2,6,3,1,8]=>[8,1,3,6,2,5,7,4]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [4,7,5,6,1,8,2,3]=>[4,1,7,5,6,2,8,3]=>[3,8,2,6,5,7,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [4,7,5,6,3,8,1,2]=>[4,7,5,6,3,1,8,2]=>[2,8,1,3,6,5,7,4]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [3,7,5,8,4,6,1,2]=>[7,8,3,5,4,1,6,2]=>[2,6,1,4,5,3,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>18 [4,5,3,8,6,7,1,2]=>[8,4,5,3,6,1,7,2]=>[2,7,1,6,3,5,4,8]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [4,8,3,6,5,7,1,2]=>[4,8,3,6,5,1,7,2]=>[2,7,1,5,6,3,8,4]=>[[1,2,5,7],[3,4,8],[6]]=>18 [5,6,4,7,1,8,2,3]=>[5,1,6,4,7,2,8,3]=>[3,8,2,7,4,6,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [5,6,1,8,4,7,2,3]=>[8,5,6,1,4,2,7,3]=>[3,7,2,4,1,6,5,8]=>[[1,2,6,8],[3,4],[5,7]]=>16 [7,8,4,5,1,6,2,3]=>[1,4,7,5,2,8,6,3]=>[3,6,8,2,5,7,4,1]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [4,8,2,3,1,6,5,7]=>[2,4,3,8,1,6,5,7]=>[7,5,6,1,8,3,4,2]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [5,6,3,4,1,8,2,7]=>[5,3,6,4,1,8,2,7]=>[7,2,8,1,4,6,3,5]=>[[1,3,6],[2,5,8],[4,7]]=>14 [3,6,4,5,2,7,1,8]=>[3,6,4,5,2,7,1,8]=>[8,1,7,2,5,4,6,3]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [3,6,4,5,1,8,2,7]=>[3,6,4,5,1,8,2,7]=>[7,2,8,1,5,4,6,3]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [2,6,4,8,1,5,3,7]=>[6,4,2,8,5,1,3,7]=>[7,3,1,5,8,2,4,6]=>[[1,4,5,8],[2,6,7],[3]]=>12 [2,8,3,6,1,5,4,7]=>[2,8,3,6,1,5,4,7]=>[7,4,5,1,6,3,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [2,8,3,4,1,6,5,7]=>[2,3,4,8,1,6,5,7]=>[7,5,6,1,8,4,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [7,8,2,5,3,4,1,6]=>[2,7,3,5,4,1,8,6]=>[6,8,1,4,5,3,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [7,8,1,5,3,6,2,4]=>[3,7,5,1,2,8,6,4]=>[4,6,8,2,1,5,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>18 [1,5,3,8,6,7,2,4]=>[5,8,6,7,1,3,2,4]=>[4,2,3,1,7,6,8,5]=>[[1,3,5,7],[2,6],[4,8]]=>12 [1,8,3,6,2,7,4,5]=>[1,8,3,6,2,7,4,5]=>[5,4,7,2,6,3,8,1]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [1,6,4,8,2,7,3,5]=>[8,6,4,1,2,7,3,5]=>[5,3,7,2,1,4,6,8]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [2,6,4,7,3,5,1,8]=>[6,7,2,4,3,5,1,8]=>[8,1,5,3,4,2,7,6]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [2,7,3,6,4,5,1,8]=>[2,7,3,6,4,5,1,8]=>[8,1,5,4,6,3,7,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [1,7,2,8,4,6,3,5]=>[7,8,1,6,2,4,3,5]=>[5,3,4,2,6,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [2,7,5,6,3,4,1,8]=>[5,2,7,6,3,4,1,8]=>[8,1,4,3,6,7,2,5]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [6,7,1,5,3,8,2,4]=>[6,1,7,3,5,2,8,4]=>[4,8,2,5,3,7,1,6]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [6,7,5,8,1,4,2,3]=>[1,6,7,5,2,8,4,3]=>[3,4,8,2,5,7,6,1]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [5,8,6,7,2,3,1,4]=>[5,2,8,6,3,1,7,4]=>[4,7,1,3,6,8,2,5]=>[[1,2,5,6],[3,4],[7,8]]=>20 [6,7,2,8,1,4,3,5]=>[6,2,7,1,4,3,8,5]=>[5,8,3,4,1,7,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>16 [2,7,5,8,1,4,3,6]=>[7,2,8,5,1,4,3,6]=>[6,3,4,1,5,8,2,7]=>[[1,3,5,6],[2,7,8],[4]]=>14 [2,8,6,7,1,4,3,5]=>[2,1,6,8,7,4,3,5]=>[5,3,4,7,8,6,1,2]=>[[1,3,4,5],[2,6],[7,8]]=>16 [4,5,2,7,3,6,1,8]=>[4,5,2,7,3,6,1,8]=>[8,1,6,3,7,2,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [4,5,1,8,2,7,3,6]=>[4,5,1,8,2,7,3,6]=>[6,3,7,2,8,1,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [3,4,1,8,2,7,5,6]=>[3,8,4,1,7,2,5,6]=>[6,5,2,7,1,4,8,3]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [3,4,2,8,1,6,5,7]=>[3,8,4,2,6,1,5,7]=>[7,5,1,6,2,4,8,3]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [7,1,5,8,4,6,2,3]=>[7,8,5,1,4,2,6,3]=>[3,6,2,4,1,5,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>17 [8,6,7,1,4,2,5,3]=>[1,6,2,4,8,7,5,3]=>[3,5,7,8,4,2,6,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [8,6,1,7,3,2,5,4]=>[3,1,2,8,6,7,5,4]=>[4,5,7,6,8,2,1,3]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [7,6,1,8,3,5,2,4]=>[3,7,6,1,2,8,5,4]=>[4,5,8,2,1,6,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>18 [7,6,2,8,3,5,1,4]=>[2,7,3,6,1,8,5,4]=>[4,5,8,1,6,3,7,2]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [7,6,2,3,8,5,1,4]=>[7,2,3,6,1,8,5,4]=>[4,5,8,1,6,3,2,7]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [8,7,1,5,2,3,6,4]=>[1,2,3,8,5,7,6,4]=>[4,6,7,5,8,3,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>17 [8,5,2,3,1,7,6,4]=>[2,3,8,1,5,7,6,4]=>[4,6,7,5,1,8,3,2]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [8,6,2,3,7,1,5,4]=>[2,8,3,1,6,7,5,4]=>[4,5,7,6,1,3,8,2]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [8,6,2,7,3,1,5,4]=>[2,3,1,8,6,7,5,4]=>[4,5,7,6,8,1,3,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [8,6,7,2,4,1,5,3]=>[6,2,1,4,8,7,5,3]=>[3,5,7,8,4,1,2,6]=>[[1,2,3,4],[5,7,8],[6]]=>21 [6,8,7,3,4,1,5,2]=>[3,1,8,6,4,7,5,2]=>[2,5,7,4,6,8,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>21 [8,4,2,1,7,6,3,5]=>[8,2,4,1,7,3,6,5]=>[5,6,3,7,1,4,2,8]=>[[1,2,4,8],[3,6],[5,7]]=>16 [5,8,7,3,1,4,6,2]=>[1,3,8,7,5,4,6,2]=>[2,6,4,5,7,8,3,1]=>[[1,2,4,5,6],[3],[7],[8]]=>19 [8,4,2,1,3,7,6,5]=>[2,8,1,4,7,3,6,5]=>[5,6,3,7,4,1,8,2]=>[[1,2,4,7],[3,5],[6,8]]=>14 [8,7,4,1,2,3,6,5]=>[1,2,4,8,3,7,6,5]=>[5,6,7,3,8,4,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [8,7,4,1,2,6,3,5]=>[4,1,2,8,3,7,6,5]=>[5,6,7,3,8,2,1,4]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [8,4,3,1,7,2,6,5]=>[4,3,8,1,7,2,6,5]=>[5,6,2,7,1,8,3,4]=>[[1,2,4,6],[3,7,8],[5]]=>16 [8,4,3,1,2,7,6,5]=>[1,4,8,3,7,2,6,5]=>[5,6,2,7,3,8,4,1]=>[[1,2,4,6],[3,5,7],[8]]=>15 [8,5,1,3,2,7,6,4]=>[3,8,1,2,5,7,6,4]=>[4,6,7,5,2,1,8,3]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [8,5,7,4,1,2,6,3]=>[1,2,8,5,4,7,6,3]=>[3,6,7,4,5,8,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [8,1,5,4,2,7,6,3]=>[1,2,8,5,7,4,6,3]=>[3,6,4,7,5,8,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [8,1,6,4,7,2,5,3]=>[6,1,4,8,7,2,5,3]=>[3,5,2,7,8,4,1,6]=>[[1,2,4,5],[3,6,8],[7]]=>17 [8,4,7,5,1,6,2,3]=>[1,4,8,5,2,7,6,3]=>[3,6,7,2,5,8,4,1]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [8,4,7,5,1,2,6,3]=>[1,4,2,8,5,7,6,3]=>[3,6,7,5,8,2,4,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [8,7,3,5,1,2,6,4]=>[1,3,2,8,5,7,6,4]=>[4,6,7,5,8,2,3,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [8,3,2,6,5,1,4,7]=>[6,3,5,2,1,4,8,7]=>[7,8,4,1,2,5,3,6]=>[[1,2,6,8],[3,5],[4,7]]=>15 [8,3,2,1,7,6,4,5]=>[8,3,7,2,1,4,6,5]=>[5,6,4,1,2,7,3,8]=>[[1,2,6,8],[3,5,7],[4]]=>15 [8,7,3,1,4,2,6,5]=>[1,3,4,8,2,7,6,5]=>[5,6,7,2,8,4,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [8,7,3,1,6,2,4,5]=>[1,8,3,2,4,7,6,5]=>[5,6,7,4,2,3,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [8,7,3,1,2,6,4,5]=>[3,1,8,2,4,7,6,5]=>[5,6,7,4,2,8,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [8,7,3,1,2,4,6,5]=>[1,3,8,2,4,7,6,5]=>[5,6,7,4,2,8,3,1]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [8,3,2,1,4,7,6,5]=>[3,8,2,7,1,4,6,5]=>[5,6,4,1,7,2,8,3]=>[[1,2,5,7],[3,6,8],[4]]=>13 [8,4,7,2,1,5,6,3]=>[4,8,2,1,5,7,6,3]=>[3,6,7,5,1,2,8,4]=>[[1,2,3,7],[4,6,8],[5]]=>18 [3,8,7,4,1,2,5,6]=>[3,1,4,2,8,7,5,6]=>[6,5,7,8,2,4,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [8,7,2,1,6,3,4,5]=>[2,1,8,3,4,7,6,5]=>[5,6,7,4,3,8,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [8,7,2,1,3,4,6,5]=>[2,8,1,3,4,7,6,5]=>[5,6,7,4,3,1,8,2]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [3,6,5,4,1,2,8,7]=>[6,5,3,1,4,8,2,7]=>[7,2,8,4,1,3,5,6]=>[[1,3,7,8],[2,4],[5,6]]=>12 [3,8,5,6,7,4,1,2]=>[5,6,8,7,3,1,4,2]=>[2,4,1,3,7,8,6,5]=>[[1,2,5,6],[3,4,7],[8]]=>19 [2,5,7,8,6,3,4,1]=>[7,8,5,2,6,3,4,1]=>[1,4,3,6,2,5,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>17 [4,6,3,2,1,5,8,7]=>[6,4,3,2,8,1,5,7]=>[7,5,1,8,2,3,4,6]=>[[1,4,6,7,8],[2,5],[3]]=>11 [4,7,2,3,6,1,8,5]=>[2,4,7,6,3,8,1,5]=>[5,1,8,3,6,7,4,2]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [4,2,6,8,5,7,3,1]=>[8,6,2,4,5,7,3,1]=>[1,3,7,5,4,2,6,8]=>[[1,2,3,7,8],[4],[5],[6]]=>16 [8,1,6,7,5,3,4,2]=>[6,1,8,7,5,3,4,2]=>[2,4,3,5,7,8,1,6]=>[[1,2,4,5,6],[3,8],[7]]=>20 [2,1,5,8,7,6,3,4]=>[8,7,5,6,2,1,3,4]=>[4,3,1,2,6,5,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>12 [2,1,4,7,6,3,8,5]=>[7,6,2,4,8,1,3,5]=>[5,3,1,8,4,2,6,7]=>[[1,4,7,8],[2,5],[3,6]]=>8 [6,4,7,8,5,3,2,1]=>[4,6,7,8,5,3,2,1]=>[1,2,3,5,8,7,6,4]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [6,3,7,1,5,2,8,4]=>[6,3,1,7,2,5,8,4]=>[4,8,5,2,7,1,3,6]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [3,2,6,8,4,7,5,1]=>[8,6,3,7,2,4,5,1]=>[1,5,4,2,7,3,6,8]=>[[1,2,5,7,8],[3,6],[4]]=>14 [8,4,6,1,3,2,5,7]=>[6,1,4,3,2,5,8,7]=>[7,8,5,2,3,4,1,6]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [4,2,8,6,7,3,1,5]=>[4,8,6,2,7,3,1,5]=>[5,1,3,7,2,6,8,4]=>[[1,3,4,7],[2,6],[5,8]]=>16 [7,4,3,8,2,1,5,6]=>[4,7,3,2,1,5,8,6]=>[6,8,5,1,2,3,7,4]=>[[1,2,6,7],[3,5],[4,8]]=>16 [4,7,5,8,1,6,3,2]=>[4,1,7,8,5,6,3,2]=>[2,3,6,5,8,7,1,4]=>[[1,2,3,5],[4,6],[7,8]]=>18 [6,4,3,2,7,8,1,5]=>[4,3,2,6,7,1,8,5]=>[5,8,1,7,6,2,3,4]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [4,2,5,1,6,7,8,3]=>[2,4,1,5,6,7,8,3]=>[3,8,7,6,5,1,4,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>9 [2,4,8,5,7,1,3,6]=>[8,4,7,5,2,1,3,6]=>[6,3,1,2,5,7,4,8]=>[[1,4,5,6,8],[2,7],[3]]=>13 [3,7,1,4,6,8,5,2]=>[3,7,6,8,1,4,5,2]=>[2,5,4,1,8,6,7,3]=>[[1,2,5,7],[3,6],[4,8]]=>13 [2,4,3,8,7,5,6,1]=>[8,7,4,2,3,5,6,1]=>[1,6,5,3,2,4,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>13 [8,5,7,1,6,3,2,4]=>[1,5,8,3,2,7,6,4]=>[4,6,7,2,3,8,5,1]=>[[1,2,3,6],[4,5,7],[8]]=>20 [3,4,8,6,5,2,1,7]=>[8,3,6,4,5,2,1,7]=>[7,1,2,5,4,6,3,8]=>[[1,3,4,6,8],[2],[5],[7]]=>15 [6,5,8,2,1,7,3,4]=>[2,6,5,1,8,3,7,4]=>[4,7,3,8,1,5,6,2]=>[[1,2,4],[3,6,7],[5,8]]=>17 [7,4,3,5,1,6,8,2]=>[4,3,1,5,7,6,8,2]=>[2,8,6,7,5,1,3,4]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [6,2,5,8,4,3,7,1]=>[6,8,5,2,4,3,7,1]=>[1,7,3,4,2,5,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>17 [8,6,7,1,5,4,3,2]=>[6,8,7,1,5,4,3,2]=>[2,3,4,5,1,7,8,6]=>[[1,2,3,4,6,7],[5,8]]=>23 [2,1,6,5,8,4,7,3]=>[6,8,5,2,4,7,1,3]=>[3,1,7,4,2,5,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>11 [4,1,8,5,6,2,3,7]=>[4,8,1,5,2,6,3,7]=>[7,3,6,2,5,1,8,4]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [6,2,8,4,3,5,1,7]=>[6,2,4,3,8,5,1,7]=>[7,1,5,8,3,4,2,6]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [3,1,8,2,7,5,4,6]=>[3,8,1,7,5,2,4,6]=>[6,4,2,5,7,1,8,3]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [3,8,1,2,6,7,4,5]=>[3,8,1,6,2,7,4,5]=>[5,4,7,2,6,1,8,3]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [5,8,4,3,2,7,1,6]=>[5,4,3,8,7,2,1,6]=>[6,1,2,7,8,3,4,5]=>[[1,3,4,5,8],[2,6,7]]=>18 [7,4,8,6,3,2,5,1]=>[7,8,4,3,2,6,5,1]=>[1,5,6,2,3,4,8,7]=>[[1,2,3,6,7],[4,5,8]]=>22 [6,3,8,2,4,5,7,1]=>[3,2,6,4,8,5,7,1]=>[1,7,5,8,4,6,2,3]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [2,8,3,1,6,4,5,7]=>[8,2,3,1,4,6,5,7]=>[7,5,6,4,1,3,2,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [8,2,1,3,4,7,5,6]=>[8,2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [1,4,8,2,6,3,5,7]=>[8,1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [1,2,7,3,5,4,8,6]=>[7,1,2,5,8,3,4,6]=>[6,4,3,8,5,2,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [1,2,3,8,4,5,7,6]=>[8,1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>5 [1,2,8,3,4,5,7,6]=>[8,1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>6 [1,3,8,2,6,4,5,7]=>[8,3,1,2,6,4,5,7]=>[7,5,4,6,2,1,3,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [1,7,2,3,5,4,8,6]=>[7,1,2,3,5,8,4,6]=>[6,4,8,5,3,2,1,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [1,3,8,2,4,5,7,6]=>[3,8,1,2,7,4,5,6]=>[6,5,4,7,2,1,8,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [1,2,3,8,4,6,7,5]=>[1,8,6,7,2,3,4,5]=>[5,4,3,2,7,6,8,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [1,8,2,3,5,4,6,7]=>[5,1,2,3,4,8,6,7]=>[7,6,8,4,3,2,1,5]=>[[1,3],[2,8],[4],[5],[6],[7]]=>7 [1,6,7,8,2,3,5,4]=>[1,6,2,7,8,5,3,4]=>[4,3,5,8,7,2,6,1]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [1,7,8,2,5,3,6,4]=>[1,7,2,5,8,6,3,4]=>[4,3,6,8,5,2,7,1]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [1,7,8,2,4,5,3,6]=>[7,1,2,4,8,5,3,6]=>[6,3,5,8,4,2,1,7]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [1,8,2,3,6,4,5,7]=>[1,8,2,3,4,6,5,7]=>[7,5,6,4,3,2,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>8 [1,2,8,3,5,4,6,7]=>[8,1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>6 [1,5,2,7,8,3,6,4]=>[7,5,8,1,2,6,3,4]=>[4,3,6,2,1,8,5,7]=>[[1,3,6],[2,7,8],[4],[5]]=>10 [1,3,2,8,4,6,7,5]=>[3,6,8,7,1,2,4,5]=>[5,4,2,1,7,8,6,3]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [6,7,3,1,5,2,8,4]=>[1,3,6,2,7,5,8,4]=>[4,8,5,7,2,6,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [6,8,3,1,5,2,7,4]=>[3,1,6,2,8,5,7,4]=>[4,7,5,8,2,6,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [6,8,4,5,1,2,7,3]=>[1,4,2,8,6,5,7,3]=>[3,7,5,6,8,2,4,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [6,7,5,4,1,2,8,3]=>[1,6,2,7,5,4,8,3]=>[3,8,4,5,7,2,6,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [5,7,6,4,1,8,2,3]=>[5,7,1,6,4,2,8,3]=>[3,8,2,4,6,1,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>18 [6,5,7,4,1,2,8,3]=>[1,6,5,2,7,4,8,3]=>[3,8,4,7,2,5,6,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [6,4,7,5,1,2,8,3]=>[4,1,6,2,7,5,8,3]=>[3,8,5,7,2,6,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [6,2,1,7,5,3,8,4]=>[6,7,2,1,3,5,8,4]=>[4,8,5,3,1,2,7,6]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [6,3,8,1,5,2,7,4]=>[6,1,8,3,2,5,7,4]=>[4,7,5,2,3,8,1,6]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [6,4,8,5,1,2,7,3]=>[1,6,4,2,8,5,7,3]=>[3,7,5,8,2,4,6,1]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [5,6,8,4,1,7,2,3]=>[5,8,1,6,4,2,7,3]=>[3,7,2,4,6,1,8,5]=>[[1,2,5,7],[3,4],[6,8]]=>18 [4,6,8,5,7,1,2,3]=>[8,6,4,1,5,2,7,3]=>[3,7,2,5,1,4,6,8]=>[[1,2,7,8],[3,4],[5,6]]=>18 [4,6,7,5,8,1,2,3]=>[6,7,4,1,5,2,8,3]=>[3,8,2,5,1,4,7,6]=>[[1,2,7],[3,4,8],[5,6]]=>17 [4,8,5,6,7,1,2,3]=>[4,5,1,8,6,2,7,3]=>[3,7,2,6,8,1,5,4]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [4,7,5,6,8,1,2,3]=>[4,7,5,1,6,2,8,3]=>[3,8,2,6,1,5,7,4]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [4,6,5,7,8,1,2,3]=>[6,4,5,1,7,2,8,3]=>[3,8,2,7,1,5,4,6]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [5,8,4,6,1,7,2,3]=>[1,5,4,8,6,2,7,3]=>[3,7,2,6,8,4,5,1]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [5,8,3,1,6,7,2,4]=>[5,3,8,1,6,2,7,4]=>[4,7,2,6,1,8,3,5]=>[[1,2,6],[3,4,8],[5,7]]=>16 [5,7,3,1,6,8,2,4]=>[1,5,7,3,6,2,8,4]=>[4,8,2,6,3,7,5,1]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [6,2,1,4,3,8,7,5]=>[2,4,8,1,3,6,7,5]=>[5,7,6,3,1,8,4,2]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [5,8,3,1,7,6,2,4]=>[5,8,3,1,7,2,6,4]=>[4,6,2,7,1,3,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>17 [5,4,6,8,1,7,2,3]=>[5,4,6,1,8,2,7,3]=>[3,7,2,8,1,6,4,5]=>[[1,2,4],[3,6,8],[5,7]]=>16 [4,5,6,8,7,1,2,3]=>[8,4,5,1,6,2,7,3]=>[3,7,2,6,1,5,4,8]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [4,7,5,8,6,1,2,3]=>[4,7,1,8,5,2,6,3]=>[3,6,2,5,8,1,7,4]=>[[1,2,5],[3,4,7],[6,8]]=>18 [4,8,5,7,6,1,2,3]=>[8,4,1,7,5,2,6,3]=>[3,6,2,5,7,1,4,8]=>[[1,2,5,8],[3,4],[6,7]]=>19 [4,7,6,8,5,1,2,3]=>[7,6,1,8,4,2,5,3]=>[3,5,2,4,8,1,6,7]=>[[1,2,5,8],[3,4,7],[6]]=>19 [4,6,7,8,5,1,2,3]=>[6,7,1,8,4,2,5,3]=>[3,5,2,4,8,1,7,6]=>[[1,2,5],[3,4,7],[6,8]]=>18 [4,5,7,8,6,1,2,3]=>[7,8,4,1,5,2,6,3]=>[3,6,2,5,1,4,8,7]=>[[1,2,7],[3,4,8],[5,6]]=>17 [5,3,7,1,8,6,2,4]=>[3,5,7,1,8,2,6,4]=>[4,6,2,8,1,7,5,3]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [5,2,1,7,8,6,3,4]=>[7,8,2,5,1,3,6,4]=>[4,6,3,1,5,2,8,7]=>[[1,2,7],[3,5,8],[4,6]]=>13 [5,3,8,1,7,6,2,4]=>[8,3,5,1,7,2,6,4]=>[4,6,2,7,1,5,3,8]=>[[1,2,4,8],[3,6],[5,7]]=>16 [5,4,8,7,1,6,2,3]=>[8,5,4,1,7,2,6,3]=>[3,6,2,7,1,4,5,8]=>[[1,2,4,8],[3,6,7],[5]]=>18 [4,6,8,7,5,1,2,3]=>[8,6,1,7,4,2,5,3]=>[3,5,2,4,7,1,6,8]=>[[1,2,5,8],[3,4,7],[6]]=>19 [4,7,8,6,5,1,2,3]=>[7,1,8,6,4,2,5,3]=>[3,5,2,4,6,8,1,7]=>[[1,2,5,6],[3,4,8],[7]]=>20 [4,8,7,6,5,1,2,3]=>[1,8,7,6,4,2,5,3]=>[3,5,2,4,6,7,8,1]=>[[1,2,5,6,7],[3,4],[8]]=>21 [2,5,4,7,3,6,1,8]=>[5,7,4,2,3,6,1,8]=>[8,1,6,3,2,4,7,5]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [2,4,6,3,7,5,1,8]=>[6,4,7,2,3,5,1,8]=>[8,1,5,3,2,7,4,6]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [4,2,7,3,6,5,1,8]=>[4,7,2,6,3,5,1,8]=>[8,1,5,3,6,2,7,4]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [2,5,3,1,6,4,8,7]=>[2,5,3,6,8,1,4,7]=>[7,4,1,8,6,3,5,2]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [2,5,3,7,6,4,1,8]=>[7,2,5,6,3,4,1,8]=>[8,1,4,3,6,5,2,7]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [2,6,5,3,7,4,1,8]=>[2,6,5,7,3,4,1,8]=>[8,1,4,3,7,5,6,2]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [4,2,7,6,3,5,1,8]=>[7,4,2,6,3,5,1,8]=>[8,1,5,3,6,2,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [2,6,3,7,5,4,1,8]=>[6,7,2,5,3,4,1,8]=>[8,1,4,3,5,2,7,6]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [2,3,1,8,6,5,4,7]=>[8,2,6,3,5,1,4,7]=>[7,4,1,5,3,6,2,8]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [2,5,3,1,8,6,4,7]=>[5,2,8,3,6,1,4,7]=>[7,4,1,6,3,8,2,5]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [3,6,8,2,1,4,5,7]=>[3,2,1,8,6,4,5,7]=>[7,5,4,6,8,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [1,5,2,8,3,4,7,6]=>[1,5,8,2,7,3,4,6]=>[6,4,3,7,2,8,5,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [1,2,7,6,3,4,8,5]=>[1,2,7,6,8,3,4,5]=>[5,4,3,8,6,7,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [2,1,3,8,7,5,4,6]=>[2,8,7,5,1,3,4,6]=>[6,4,3,1,5,7,8,2]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [1,2,3,8,6,4,7,5]=>[1,6,8,7,2,3,4,5]=>[5,4,3,2,7,8,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [1,2,3,7,4,8,6,5]=>[7,8,1,6,2,3,4,5]=>[5,4,3,2,6,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [1,2,3,6,4,8,7,5]=>[8,1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [1,2,3,7,6,4,8,5]=>[1,7,6,8,2,3,4,5]=>[5,4,3,2,8,6,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [2,6,3,1,8,5,4,7]=>[6,2,3,8,5,1,4,7]=>[7,4,1,5,8,3,2,6]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [2,1,3,8,5,4,7,6]=>[2,5,8,7,1,3,4,6]=>[6,4,3,1,7,8,5,2]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [4,2,6,3,1,8,5,7]=>[4,2,6,8,3,1,5,7]=>[7,5,1,3,8,6,2,4]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [5,4,2,8,3,1,6,7]=>[5,2,8,4,3,1,6,7]=>[7,6,1,3,4,8,2,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [4,2,1,8,3,5,7,6]=>[4,2,8,1,7,3,5,6]=>[6,5,3,7,1,8,2,4]=>[[1,4,6],[2,7,8],[3],[5]]=>9 [1,5,2,8,7,3,4,6]=>[1,8,5,2,7,3,4,6]=>[6,4,3,7,2,5,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [1,2,7,3,6,4,8,5]=>[1,7,2,6,8,3,4,5]=>[5,4,3,8,6,2,7,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [1,2,8,6,3,7,4,5]=>[6,1,2,8,7,3,4,5]=>[5,4,3,7,8,2,1,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [1,2,3,8,4,7,6,5]=>[8,7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>7 [1,2,7,3,4,8,6,5]=>[7,8,1,2,6,3,4,5]=>[5,4,3,6,2,1,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [1,5,2,3,8,7,4,6]=>[8,5,1,2,7,3,4,6]=>[6,4,3,7,2,1,5,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [4,2,1,8,3,7,5,6]=>[4,8,2,1,7,3,5,6]=>[6,5,3,7,1,2,8,4]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [1,8,4,2,7,3,5,6]=>[1,8,4,2,3,7,5,6]=>[6,5,7,3,2,4,8,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [1,2,8,6,3,4,7,5]=>[1,2,6,8,7,3,4,5]=>[5,4,3,7,8,6,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [1,2,7,3,8,4,6,5]=>[1,7,8,2,6,3,4,5]=>[5,4,3,6,2,8,7,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [1,2,3,8,7,4,6,5]=>[8,1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>8 [1,2,3,8,7,6,4,5]=>[1,8,7,6,2,3,4,5]=>[5,4,3,2,6,7,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>9 [2,5,3,8,1,6,4,7]=>[2,8,5,3,6,1,4,7]=>[7,4,1,6,3,5,8,2]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [2,6,4,7,1,5,3,8]=>[4,6,2,7,5,1,3,8]=>[8,3,1,5,7,2,6,4]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [2,6,5,7,1,4,3,8]=>[6,5,2,7,4,1,3,8]=>[8,3,1,4,7,2,5,6]=>[[1,4,5,8],[2,6,7],[3]]=>12 [3,8,5,7,1,2,6,4]=>[1,8,5,3,7,6,2,4]=>[4,2,6,7,3,5,8,1]=>[[1,3,4,7],[2,5,6],[8]]=>16 [3,8,5,7,2,6,4,1]=>[8,5,3,7,6,2,4,1]=>[1,4,2,6,7,3,5,8]=>[[1,2,4,5,8],[3,6,7]]=>19 [2,4,8,1,5,7,6,3]=>[4,8,2,7,5,6,1,3]=>[3,1,6,5,7,2,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>12 [2,8,1,7,5,6,4,3]=>[2,8,7,5,6,4,1,3]=>[3,1,4,6,5,7,8,2]=>[[1,3,4,6,7],[2,5],[8]]=>16 [2,3,8,1,6,5,7,4]=>[8,2,3,6,5,7,1,4]=>[4,1,7,5,6,3,2,8]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [3,5,7,6,1,2,4,8]=>[7,5,1,6,3,2,4,8]=>[8,4,2,3,6,1,5,7]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [3,5,7,6,2,4,8,1]=>[7,5,6,3,2,4,8,1]=>[1,8,4,2,3,6,5,7]=>[[1,2,5,6,8],[3,7],[4]]=>15 [4,8,6,7,2,3,5,1]=>[6,2,8,7,4,3,5,1]=>[1,5,3,4,7,8,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>20 [3,4,8,6,1,5,7,2]=>[3,4,8,6,1,5,7,2]=>[2,7,5,1,6,8,4,3]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [3,8,5,7,1,6,4,2]=>[5,8,3,7,6,1,4,2]=>[2,4,1,6,7,3,8,5]=>[[1,2,4,5,7],[3,6,8]]=>18 [3,2,8,5,6,1,7,4]=>[3,5,8,6,2,7,1,4]=>[4,1,7,2,6,8,5,3]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [3,8,5,7,2,1,6,4]=>[8,5,3,2,7,6,1,4]=>[4,1,6,7,2,3,5,8]=>[[1,3,4,7,8],[2,5,6]]=>17 [4,8,6,7,3,5,2,1]=>[6,8,7,4,3,5,2,1]=>[1,2,5,3,4,7,8,6]=>[[1,2,3,5,6,7],[4,8]]=>22 [5,8,6,7,2,1,3,4]=>[5,2,1,8,6,3,7,4]=>[4,7,3,6,8,1,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>19 [5,8,6,7,2,1,4,3]=>[5,2,1,8,6,7,4,3]=>[3,4,7,6,8,1,2,5]=>[[1,2,3,5],[4,7,8],[6]]=>20 [4,8,6,7,2,1,5,3]=>[6,4,2,8,7,1,5,3]=>[3,5,1,7,8,2,4,6]=>[[1,2,4,5],[3,6,7,8]]=>19 [4,3,1,7,5,2,8,6]=>[4,3,7,1,5,8,2,6]=>[6,2,8,5,1,7,3,4]=>[[1,3,6],[2,4,8],[5,7]]=>10 [4,3,2,8,5,1,7,6]=>[8,4,3,2,5,7,1,6]=>[6,1,7,5,2,3,4,8]=>[[1,3,6,7,8],[2,4],[5]]=>12 [4,3,8,5,1,6,7,2]=>[4,3,1,8,5,6,7,2]=>[2,7,6,5,8,1,3,4]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [5,8,6,7,1,4,3,2]=>[8,5,1,6,7,4,3,2]=>[2,3,4,7,6,1,5,8]=>[[1,2,3,4,8],[5,7],[6]]=>21 [5,8,6,7,2,3,4,1]=>[5,2,8,6,3,7,4,1]=>[1,4,7,3,6,8,2,5]=>[[1,2,3,6],[4,5],[7,8]]=>21 [5,8,6,7,2,4,3,1]=>[5,2,8,6,7,4,3,1]=>[1,3,4,7,6,8,2,5]=>[[1,2,3,4,6],[5,8],[7]]=>22 [5,8,6,7,1,2,4,3]=>[1,5,2,8,6,7,4,3]=>[3,4,7,6,8,2,5,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [4,2,3,8,5,1,6,7]=>[2,8,4,3,5,1,6,7]=>[7,6,1,5,3,4,8,2]=>[[1,4,6,7],[2],[3],[5],[8]]=>10 [3,2,4,8,6,1,5,7]=>[3,8,6,2,4,1,5,7]=>[7,5,1,4,2,6,8,3]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [3,2,5,7,6,1,4,8]=>[7,3,5,6,2,1,4,8]=>[8,4,1,2,6,5,3,7]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [4,8,6,7,1,2,5,3]=>[1,6,4,8,7,2,5,3]=>[3,5,2,7,8,4,6,1]=>[[1,2,4,5],[3,6,7],[8]]=>18 [4,8,6,7,2,5,3,1]=>[6,4,8,7,2,5,3,1]=>[1,3,5,2,7,8,4,6]=>[[1,2,3,5,6],[4,7,8]]=>21 [4,3,8,5,2,6,7,1]=>[4,3,8,5,2,6,7,1]=>[1,7,6,2,5,8,3,4]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [4,2,6,7,5,1,3,8]=>[6,7,2,4,1,5,3,8]=>[8,3,5,1,4,2,7,6]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [3,8,5,7,1,4,2,6]=>[3,8,7,1,5,4,2,6]=>[6,2,4,5,1,7,8,3]=>[[1,3,4,6,7],[2,8],[5]]=>16 [3,5,2,8,4,6,1,7]=>[8,5,3,2,4,6,1,7]=>[7,1,6,4,2,3,5,8]=>[[1,3,6,7,8],[2],[4],[5]]=>12 [3,5,1,7,4,6,2,8]=>[7,3,5,1,4,6,2,8]=>[8,2,6,4,1,5,3,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [3,8,4,7,2,5,1,6]=>[3,8,4,2,7,5,1,6]=>[6,1,5,7,2,4,8,3]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [4,1,3,8,5,2,6,7]=>[4,1,8,3,5,2,6,7]=>[7,6,2,5,3,8,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [4,1,2,6,7,5,3,8]=>[6,7,1,2,4,5,3,8]=>[8,3,5,4,2,1,7,6]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [4,2,6,7,5,3,8,1]=>[6,7,2,4,5,3,8,1]=>[1,8,3,5,4,2,7,6]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [4,8,6,7,3,2,5,1]=>[6,8,7,4,3,2,5,1]=>[1,5,2,3,4,7,8,6]=>[[1,2,4,5,6,7],[3,8]]=>21 [3,1,5,7,6,2,4,8]=>[7,3,5,1,6,2,4,8]=>[8,4,2,6,1,5,3,7]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [3,4,1,7,5,6,2,8]=>[7,3,1,4,5,6,2,8]=>[8,2,6,5,4,1,3,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [4,1,7,5,2,8,6,3]=>[7,1,4,8,2,5,6,3]=>[3,6,5,2,8,4,1,7]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [4,1,6,7,5,2,3,8]=>[6,7,4,1,2,5,3,8]=>[8,3,5,2,1,4,7,6]=>[[1,3,7],[2,6,8],[4],[5]]=>11 [4,8,6,7,2,3,1,5]=>[6,2,8,7,4,3,1,5]=>[5,1,3,4,7,8,2,6]=>[[1,3,4,5,6],[2,8],[7]]=>19 [5,8,6,7,3,2,4,1]=>[5,8,6,3,2,7,4,1]=>[1,4,7,2,3,6,8,5]=>[[1,2,3,6,7],[4,5],[8]]=>22 [5,8,6,7,4,1,2,3]=>[5,1,8,6,2,7,4,3]=>[3,4,7,2,6,8,1,5]=>[[1,2,3,6],[4,5],[7,8]]=>21 [5,8,6,7,4,1,3,2]=>[5,1,8,6,7,4,3,2]=>[2,3,4,7,6,8,1,5]=>[[1,2,3,4,6],[5,8],[7]]=>22 [5,8,6,7,3,1,4,2]=>[5,1,8,6,3,7,4,2]=>[2,4,7,3,6,8,1,5]=>[[1,2,3,6],[4,5],[7,8]]=>21 [4,1,6,7,5,3,8,2]=>[6,7,4,5,1,3,8,2]=>[2,8,3,1,5,4,7,6]=>[[1,2,5,7],[3,6,8],[4]]=>13 [4,8,6,7,3,2,1,5]=>[6,8,7,4,3,2,1,5]=>[5,1,2,3,4,7,8,6]=>[[1,3,4,5,6,7],[2,8]]=>20 [5,8,6,7,4,3,1,2]=>[5,8,6,1,7,4,3,2]=>[2,3,4,7,1,6,8,5]=>[[1,2,3,4,7],[5,6],[8]]=>23 [7,3,5,8,1,4,2,6]=>[5,3,7,1,4,2,8,6]=>[6,8,2,4,1,7,3,5]=>[[1,2,6],[3,4,8],[5,7]]=>16 [1,4,7,8,5,6,2,3]=>[7,4,8,5,1,6,2,3]=>[3,2,6,1,5,8,4,7]=>[[1,3,6],[2,5,8],[4,7]]=>14 [3,4,7,1,5,8,6,2]=>[7,3,4,8,1,5,6,2]=>[2,6,5,1,8,4,3,7]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [3,6,1,4,7,8,5,2]=>[6,3,7,8,1,4,5,2]=>[2,5,4,1,8,7,3,6]=>[[1,2,5],[3,6,8],[4,7]]=>12 [1,6,8,4,7,5,2,3]=>[6,8,4,1,7,5,2,3]=>[3,2,5,7,1,4,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>16 [6,8,1,3,5,7,2,4]=>[6,1,8,3,5,2,7,4]=>[4,7,2,5,3,8,1,6]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [7,6,1,4,3,8,2,5]=>[7,1,4,3,6,2,8,5]=>[5,8,2,6,3,4,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [3,8,1,6,5,4,2,7]=>[8,6,1,3,5,4,2,7]=>[7,2,4,5,3,1,6,8]=>[[1,3,4,7,8],[2],[5],[6]]=>14 [6,1,7,3,8,4,2,5]=>[3,6,7,4,1,2,8,5]=>[5,8,2,1,4,7,6,3]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [3,1,7,6,5,8,4,2]=>[7,6,5,8,1,3,4,2]=>[2,4,3,1,8,5,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>14 [8,2,7,6,5,3,4,1]=>[2,8,7,6,3,5,4,1]=>[1,4,5,3,6,7,8,2]=>[[1,2,3,5,6,7],[4],[8]]=>22 [7,4,1,6,8,2,5,3]=>[7,4,1,2,6,8,5,3]=>[3,5,8,6,2,1,4,7]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [1,3,8,6,2,7,5,4]=>[3,6,8,7,5,1,2,4]=>[4,2,1,5,7,8,6,3]=>[[1,4,5,6],[2,7],[3,8]]=>12 [6,1,3,2,7,8,4,5]=>[3,6,7,1,2,4,8,5]=>[5,8,4,2,1,7,6,3]=>[[1,2],[3,6],[4,7],[5,8]]=>10 [1,8,6,2,5,3,4,7]=>[1,8,2,6,3,5,4,7]=>[7,4,5,3,6,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [4,7,2,6,8,1,5,3]=>[7,4,6,2,8,1,5,3]=>[3,5,1,8,2,6,4,7]=>[[1,2,4,8],[3,5,6],[7]]=>16 [8,7,3,6,4,5,2,1]=>[3,8,4,7,6,5,2,1]=>[1,2,5,6,7,4,8,3]=>[[1,2,3,4,5,7],[6],[8]]=>24 [1,8,6,4,5,2,3,7]=>[8,1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [3,4,1,7,5,2,6,8]=>[3,4,7,1,5,2,6,8]=>[8,6,2,5,1,7,4,3]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [7,5,8,6,1,2,4,3]=>[1,5,2,7,8,6,4,3]=>[3,4,6,8,7,2,5,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [5,6,8,7,3,1,4,2]=>[8,5,1,6,3,7,4,2]=>[2,4,7,3,6,1,5,8]=>[[1,2,3,8],[4,5],[6,7]]=>20 [2,5,4,3,6,8,1,7]=>[5,4,8,2,3,6,1,7]=>[7,1,6,3,2,8,4,5]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [4,8,2,1,3,7,5,6]=>[2,4,1,8,3,7,5,6]=>[6,5,7,3,8,1,4,2]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [6,4,1,2,7,5,8,3]=>[1,2,4,6,7,5,8,3]=>[3,8,5,7,6,4,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>12 [4,1,8,3,6,7,5,2]=>[4,6,8,7,1,3,5,2]=>[2,5,3,1,7,8,6,4]=>[[1,2,5,6],[3,7],[4,8]]=>14 [4,3,7,8,5,1,6,2]=>[7,8,4,3,1,5,6,2]=>[2,6,5,1,3,4,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>16 [5,4,8,2,7,6,1,3]=>[5,8,4,7,2,1,6,3]=>[3,6,1,2,7,4,8,5]=>[[1,2,5,7],[3,4,6,8]]=>18 [4,1,7,5,8,6,2,3]=>[4,7,8,5,1,2,6,3]=>[3,6,2,1,5,8,7,4]=>[[1,2,6],[3,5,7],[4,8]]=>14 [5,1,7,8,4,3,6,2]=>[7,8,5,4,1,3,6,2]=>[2,6,3,1,4,5,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>16 [8,2,7,5,4,3,6,1]=>[8,5,2,4,3,7,6,1]=>[1,6,7,3,4,2,5,8]=>[[1,2,3,7,8],[4,5],[6]]=>20 [6,3,8,1,4,7,5,2]=>[3,6,8,1,4,7,5,2]=>[2,5,7,4,1,8,6,3]=>[[1,2,3,6],[4,7],[5,8]]=>16 [3,8,4,5,6,1,2,7]=>[3,4,5,1,8,6,2,7]=>[7,2,6,8,1,5,4,3]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [1,4,3,5,7,8,2,6]=>[4,7,8,3,5,1,2,6]=>[6,2,1,5,3,8,7,4]=>[[1,4,6],[2,5,7],[3,8]]=>8 [6,5,8,7,1,3,4,2]=>[6,5,1,8,3,7,4,2]=>[2,4,7,3,8,1,5,6]=>[[1,2,3,5],[4,7,8],[6]]=>20 [3,6,7,2,4,8,1,5]=>[6,3,2,7,8,4,1,5]=>[5,1,4,8,7,2,3,6]=>[[1,3,4,8],[2,5],[6,7]]=>14 [2,8,5,6,4,3,1,7]=>[5,8,6,2,4,3,1,7]=>[7,1,3,4,2,6,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>16 [1,8,6,5,4,3,2,7]=>[8,6,5,4,1,3,2,7]=>[7,2,3,1,4,5,6,8]=>[[1,3,5,6,7,8],[2],[4]]=>16 [6,1,5,2,8,4,7,3]=>[6,8,1,5,2,4,7,3]=>[3,7,4,2,5,1,8,6]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [4,6,1,8,5,7,2,3]=>[8,6,1,4,5,2,7,3]=>[3,7,2,5,4,1,6,8]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [4,7,1,2,8,5,6,3]=>[4,7,1,8,2,5,6,3]=>[3,6,5,2,8,1,7,4]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [1,4,7,2,8,5,6,3]=>[7,8,4,1,5,6,2,3]=>[3,2,6,5,1,4,8,7]=>[[1,3,7],[2,4,8],[5,6]]=>11 [1,7,3,5,8,6,2,4]=>[5,7,8,6,1,3,2,4]=>[4,2,3,1,6,8,7,5]=>[[1,3,5,6],[2,7],[4,8]]=>13 [3,6,8,1,5,7,2,4]=>[3,8,6,5,1,7,2,4]=>[4,2,7,1,5,6,8,3]=>[[1,3,6,7],[2,5],[4,8]]=>15 [7,1,2,5,8,6,3,4]=>[7,8,1,5,2,3,6,4]=>[4,6,3,2,5,1,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [1,7,2,5,8,6,3,4]=>[7,8,1,5,2,6,3,4]=>[4,3,6,2,5,1,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [7,6,8,1,2,3,5,4]=>[1,2,3,7,6,8,5,4]=>[4,5,8,6,7,3,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>17 [2,7,1,5,8,6,3,4]=>[2,7,8,5,1,6,3,4]=>[4,3,6,1,5,8,7,2]=>[[1,3,6],[2,5,7],[4,8]]=>13 [4,7,5,8,3,1,6,2]=>[4,7,1,8,5,3,6,2]=>[2,6,3,5,8,1,7,4]=>[[1,2,4,5],[3,7],[6,8]]=>18 [2,7,4,1,6,8,5,3]=>[4,7,2,6,8,5,1,3]=>[3,1,5,8,6,2,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>13 [3,1,7,6,8,2,5,4]=>[7,6,3,8,1,5,2,4]=>[4,2,5,1,8,3,6,7]=>[[1,3,5,8],[2,6,7],[4]]=>13 [3,7,6,8,1,2,5,4]=>[1,7,6,3,8,5,2,4]=>[4,2,5,8,3,6,7,1]=>[[1,3,4,7],[2,5,6],[8]]=>16 [1,3,7,6,8,2,5,4]=>[7,6,3,8,5,1,2,4]=>[4,2,1,5,8,3,6,7]=>[[1,4,5,8],[2,6,7],[3]]=>12 [7,4,1,2,6,8,5,3]=>[7,1,2,4,6,8,5,3]=>[3,5,8,6,4,2,1,7]=>[[1,2,3,8],[4],[5],[6],[7]]=>14 [7,1,4,2,8,5,6,3]=>[7,1,2,4,8,5,6,3]=>[3,6,5,8,4,2,1,7]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [7,1,8,2,5,4,6,3]=>[1,7,8,2,5,4,6,3]=>[3,6,4,5,2,8,7,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [7,2,8,1,6,4,5,3]=>[7,8,2,1,6,4,5,3]=>[3,5,4,6,1,2,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>17 [1,7,2,6,8,5,4,3]=>[7,6,8,5,1,4,2,3]=>[3,2,4,1,5,8,6,7]=>[[1,3,5,6,8],[2,7],[4]]=>14 [7,6,8,3,1,2,5,4]=>[1,3,2,7,6,8,5,4]=>[4,5,8,6,7,2,3,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [7,1,5,8,6,3,2,4]=>[7,8,5,1,3,2,6,4]=>[4,6,2,3,1,5,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>17 [7,2,5,8,6,3,1,4]=>[7,8,2,5,3,1,6,4]=>[4,6,1,3,5,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>18 [3,6,7,1,8,5,4,2]=>[3,6,7,8,5,1,4,2]=>[2,4,1,5,8,7,6,3]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [7,2,6,8,5,4,1,3]=>[7,6,8,5,2,1,4,3]=>[3,4,1,2,5,8,6,7]=>[[1,2,5,6,8],[3,4,7]]=>20 [7,6,8,2,3,1,5,4]=>[2,3,1,7,6,8,5,4]=>[4,5,8,6,7,1,3,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [2,7,6,8,3,1,5,4]=>[2,7,6,3,8,5,1,4]=>[4,1,5,8,3,6,7,2]=>[[1,3,4,7],[2,5,6],[8]]=>16 [6,7,1,8,5,4,3,2]=>[6,7,8,5,1,4,3,2]=>[2,3,4,1,5,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>20 [7,2,1,6,8,5,4,3]=>[7,6,8,2,5,1,4,3]=>[3,4,1,5,2,8,6,7]=>[[1,2,4,6,8],[3,5,7]]=>16 [7,6,8,3,2,1,5,4]=>[3,2,1,7,6,8,5,4]=>[4,5,8,6,7,1,2,3]=>[[1,2,3,5],[4,7,8],[6]]=>20 [4,7,8,5,6,1,3,2]=>[7,4,1,8,5,6,3,2]=>[2,3,6,5,8,1,4,7]=>[[1,2,3,5],[4,7,8],[6]]=>20 [5,6,4,8,1,2,7,3]=>[5,1,6,4,8,2,7,3]=>[3,7,2,8,4,6,1,5]=>[[1,2,4],[3,5,6],[7,8]]=>16 [8,1,5,6,7,2,4,3]=>[5,1,6,8,7,2,4,3]=>[3,4,2,7,8,6,1,5]=>[[1,2,4,5],[3,6],[7,8]]=>17 [6,4,5,1,8,2,7,3]=>[1,4,6,5,8,2,7,3]=>[3,7,2,8,5,6,4,1]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [5,4,6,7,1,2,8,3]=>[5,4,1,6,2,7,8,3]=>[3,8,7,2,6,1,4,5]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [8,1,4,6,7,3,2,5]=>[4,8,6,3,1,2,7,5]=>[5,7,2,1,3,6,8,4]=>[[1,2,6,7],[3,5],[4,8]]=>16 [8,1,3,6,7,4,5,2]=>[8,1,6,3,7,4,5,2]=>[2,5,4,7,3,6,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [7,2,1,6,8,4,5,3]=>[7,6,8,2,1,4,5,3]=>[3,5,4,1,2,8,6,7]=>[[1,2,6,8],[3,5,7],[4]]=>15 [5,2,6,7,1,4,8,3]=>[5,6,2,7,1,4,8,3]=>[3,8,4,1,7,2,6,5]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [4,2,6,7,3,1,8,5]=>[4,6,2,7,3,8,1,5]=>[5,1,8,3,7,2,6,4]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [8,1,4,5,3,7,2,6]=>[4,5,8,3,1,2,7,6]=>[6,7,2,1,3,8,5,4]=>[[1,2,6],[3,5,7],[4,8]]=>14 [7,3,1,5,4,8,2,6]=>[5,1,3,4,7,2,8,6]=>[6,8,2,7,4,3,1,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [6,3,4,1,5,8,2,7]=>[3,1,4,6,8,5,2,7]=>[7,2,5,8,6,4,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [4,3,5,2,7,1,6,8]=>[4,3,5,7,2,1,6,8]=>[8,6,1,2,7,5,3,4]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [5,6,3,8,1,4,2,7]=>[5,1,6,3,8,4,2,7]=>[7,2,4,8,3,6,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [7,6,1,2,4,5,8,3]=>[1,7,2,4,6,5,8,3]=>[3,8,5,6,4,2,7,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>14 [4,7,8,2,3,1,6,5]=>[2,7,4,3,8,6,1,5]=>[5,1,6,8,3,4,7,2]=>[[1,3,4,7],[2,5,6],[8]]=>16 [5,6,2,8,1,4,7,3]=>[2,5,6,1,8,4,7,3]=>[3,7,4,8,1,6,5,2]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [6,5,2,1,3,7,8,4]=>[2,1,3,6,5,7,8,4]=>[4,8,7,5,6,3,1,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [7,4,1,3,5,2,8,6]=>[4,1,3,5,2,7,8,6]=>[6,8,7,2,5,3,1,4]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [7,3,1,4,5,6,2,8]=>[1,3,4,5,7,6,2,8]=>[8,2,6,7,5,4,3,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>11 [8,1,4,3,5,6,2,7]=>[4,3,5,6,1,2,8,7]=>[7,8,2,1,6,5,3,4]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [6,2,3,1,5,7,8,4]=>[2,3,6,1,5,7,8,4]=>[4,8,7,5,1,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [7,8,4,2,1,6,5,3]=>[2,1,4,7,8,6,5,3]=>[3,5,6,8,7,4,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [7,8,4,2,1,5,6,3]=>[2,1,4,7,5,8,6,3]=>[3,6,8,5,7,4,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [6,2,3,4,7,8,1,5]=>[2,3,4,6,7,1,8,5]=>[5,8,1,7,6,4,3,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>12 [7,8,3,4,6,2,1,5]=>[3,4,7,2,1,8,6,5]=>[5,6,8,1,2,7,4,3]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [7,8,3,5,6,2,1,4]=>[7,3,5,2,1,8,6,4]=>[4,6,8,1,2,5,3,7]=>[[1,2,3,8],[4,5,6],[7]]=>21 [6,2,3,8,7,5,1,4]=>[8,6,7,2,3,1,5,4]=>[4,5,1,3,2,7,6,8]=>[[1,2,6,8],[3,4,7],[5]]=>16 [6,4,3,8,7,5,1,2]=>[4,8,3,6,1,7,5,2]=>[2,5,7,1,6,3,8,4]=>[[1,2,3,7],[4,5,8],[6]]=>19 [6,2,4,1,7,3,5,8]=>[4,2,6,1,3,7,5,8]=>[8,5,7,3,1,6,2,4]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [6,3,2,7,4,8,1,5]=>[3,6,2,4,7,1,8,5]=>[5,8,1,7,4,2,6,3]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [6,3,2,5,7,8,1,4]=>[3,6,2,5,7,1,8,4]=>[4,8,1,7,5,2,6,3]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [4,7,5,8,3,2,1,6]=>[4,7,8,5,3,2,1,6]=>[6,1,2,3,5,8,7,4]=>[[1,3,4,5,6],[2,7],[8]]=>18 [4,5,6,8,3,2,1,7]=>[8,4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4,8]=>[[1,3,4,5,8],[2],[6],[7]]=>16 [4,6,8,5,3,2,1,7]=>[8,6,4,5,3,2,1,7]=>[7,1,2,3,5,4,6,8]=>[[1,3,4,5,7,8],[2],[6]]=>18 [5,6,1,4,2,3,7,8]=>[5,1,2,6,4,3,7,8]=>[8,7,3,4,6,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [5,6,1,4,2,3,8,7]=>[5,1,2,6,4,8,3,7]=>[7,3,8,4,6,2,1,5]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [4,5,8,6,3,2,1,7]=>[4,8,5,6,3,2,1,7]=>[7,1,2,3,6,5,8,4]=>[[1,3,4,5,7],[2],[6],[8]]=>17 [4,6,5,8,3,2,1,7]=>[6,8,4,5,3,2,1,7]=>[7,1,2,3,5,4,8,6]=>[[1,3,4,5,7],[2,8],[6]]=>17 [4,7,5,6,3,2,1,8]=>[4,7,5,6,3,2,1,8]=>[8,1,2,3,6,5,7,4]=>[[1,3,4,5,7],[2],[6],[8]]=>17 [6,2,3,4,5,8,1,7]=>[2,3,4,6,8,5,1,7]=>[7,1,5,8,6,4,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [5,1,4,3,6,2,8,7]=>[5,4,1,3,6,8,2,7]=>[7,2,8,6,3,1,4,5]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [5,1,4,3,7,2,8,6]=>[5,4,7,1,3,8,2,6]=>[6,2,8,3,1,7,4,5]=>[[1,3,6,8],[2,4],[5,7]]=>10 [6,1,4,2,8,7,5,3]=>[8,1,2,6,7,4,5,3]=>[3,5,4,7,6,2,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [5,1,4,3,6,2,7,8]=>[5,4,1,3,6,2,7,8]=>[8,7,2,6,3,1,4,5]=>[[1,4,7,8],[2],[3],[5],[6]]=>8 [5,1,6,3,4,2,7,8]=>[5,1,6,3,4,2,7,8]=>[8,7,2,4,3,6,1,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [4,8,6,5,3,2,1,7]=>[8,4,6,5,3,2,1,7]=>[7,1,2,3,5,6,4,8]=>[[1,3,4,5,6,8],[2],[7]]=>19 [4,8,5,6,3,2,1,7]=>[4,5,8,6,3,2,1,7]=>[7,1,2,3,6,8,5,4]=>[[1,3,4,5,6],[2],[7],[8]]=>18 [5,4,7,8,3,2,1,6]=>[5,7,8,4,3,2,1,6]=>[6,1,2,3,4,8,7,5]=>[[1,3,4,5,6],[2,7],[8]]=>18 [5,4,8,7,3,2,1,6]=>[8,5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5,8]=>[[1,3,4,5,6,8],[2,7]]=>19 [4,6,7,8,3,2,1,5]=>[6,7,8,4,3,2,1,5]=>[5,1,2,3,4,8,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>18 [4,7,6,8,3,2,1,5]=>[7,6,8,4,3,2,1,5]=>[5,1,2,3,4,8,6,7]=>[[1,3,4,5,6,8],[2,7]]=>19 [4,7,8,5,3,2,1,6]=>[7,4,8,5,3,2,1,6]=>[6,1,2,3,5,8,4,7]=>[[1,3,4,5,6],[2,8],[7]]=>19 [5,7,1,3,4,2,6,8]=>[1,7,3,5,4,2,6,8]=>[8,6,2,4,5,3,7,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>11 [5,1,8,4,2,3,6,7]=>[1,8,2,5,4,3,6,7]=>[7,6,3,4,5,2,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>11 [5,1,7,4,2,3,6,8]=>[5,1,2,7,4,3,6,8]=>[8,6,3,4,7,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [5,8,1,3,4,2,6,7]=>[1,5,3,4,2,8,6,7]=>[7,6,8,2,4,3,5,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [4,8,7,5,3,2,1,6]=>[4,8,7,5,3,2,1,6]=>[6,1,2,3,5,7,8,4]=>[[1,3,4,5,6,7],[2],[8]]=>20 [4,7,8,6,3,2,1,5]=>[7,8,6,4,3,2,1,5]=>[5,1,2,3,4,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>20 [4,8,7,6,3,2,1,5]=>[8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>21 [4,8,2,6,3,7,5,1]=>[4,2,6,8,7,3,5,1]=>[1,5,3,7,8,6,2,4]=>[[1,2,4,5],[3,6],[7,8]]=>17 [4,8,2,3,6,7,5,1]=>[2,4,6,8,7,3,5,1]=>[1,5,3,7,8,6,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [4,3,8,1,6,2,5,7]=>[4,3,1,8,6,2,5,7]=>[7,5,2,6,8,1,3,4]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [4,3,8,7,2,5,1,6]=>[8,7,4,3,2,5,1,6]=>[6,1,5,2,3,4,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>16 [5,8,4,3,7,1,6,2]=>[5,4,3,8,7,1,6,2]=>[2,6,1,7,8,3,4,5]=>[[1,2,4,5],[3,6,7,8]]=>19 [5,8,1,4,7,2,6,3]=>[5,1,8,4,7,2,6,3]=>[3,6,2,7,4,8,1,5]=>[[1,2,4,6],[3,5,8],[7]]=>16 [5,8,1,7,4,2,3,6]=>[5,1,2,8,7,4,3,6]=>[6,3,4,7,8,2,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [6,8,1,2,4,3,5,7]=>[4,1,2,3,8,6,5,7]=>[7,5,6,8,3,2,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [5,8,7,1,3,4,2,6]=>[1,8,3,7,5,4,2,6]=>[6,2,4,5,7,3,8,1]=>[[1,3,4,5,7],[2],[6],[8]]=>17 [4,8,7,6,3,1,2,5]=>[1,8,7,6,4,3,2,5]=>[5,2,3,4,6,7,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>20 [5,8,4,7,3,1,2,6]=>[5,1,8,7,4,3,2,6]=>[6,2,3,4,7,8,1,5]=>[[1,3,4,5,6],[2,8],[7]]=>19 [4,3,8,2,7,5,6,1]=>[4,8,7,3,2,5,6,1]=>[1,6,5,2,3,7,8,4]=>[[1,2,5,6,7],[3,8],[4]]=>16 [1,4,3,8,2,6,5,7]=>[4,3,8,6,1,2,5,7]=>[7,5,2,1,6,8,3,4]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [4,1,3,8,2,6,5,7]=>[4,1,8,3,6,2,5,7]=>[7,5,2,6,3,8,1,4]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [4,1,8,3,7,5,6,2]=>[8,7,1,4,3,5,6,2]=>[2,6,5,3,4,1,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>14 [3,4,8,1,6,2,5,7]=>[3,4,1,8,6,2,5,7]=>[7,5,2,6,8,1,4,3]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [3,4,8,7,2,5,1,6]=>[3,8,7,4,2,5,1,6]=>[6,1,5,2,4,7,8,3]=>[[1,3,5,6,7],[2],[4],[8]]=>15 [3,4,8,2,7,5,6,1]=>[8,3,7,4,2,5,6,1]=>[1,6,5,2,4,7,3,8]=>[[1,2,5,6,8],[3],[4],[7]]=>15 [1,2,4,8,3,6,5,7]=>[1,8,4,6,2,3,5,7]=>[7,5,3,2,6,4,8,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [1,2,4,3,8,6,5,7]=>[4,8,6,1,2,3,5,7]=>[7,5,3,2,1,6,8,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [3,6,7,8,4,1,2,5]=>[6,7,3,1,8,4,2,5]=>[5,2,4,8,1,3,7,6]=>[[1,3,4],[2,6,7],[5,8]]=>16 [4,2,3,1,8,6,5,7]=>[4,2,8,3,6,1,5,7]=>[7,5,1,6,3,8,2,4]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [3,7,6,8,4,2,1,5]=>[7,6,3,8,4,2,1,5]=>[5,1,2,4,8,3,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>18 [4,7,1,8,5,2,3,6]=>[1,4,7,2,8,5,3,6]=>[6,3,5,8,2,7,4,1]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [3,7,8,6,2,4,1,5]=>[7,3,2,8,6,4,1,5]=>[5,1,4,6,8,2,3,7]=>[[1,3,4,5],[2,7,8],[6]]=>18 [4,2,3,8,1,6,5,7]=>[2,8,4,3,6,1,5,7]=>[7,5,1,6,3,4,8,2]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [4,3,1,8,2,6,5,7]=>[1,8,4,3,6,2,5,7]=>[7,5,2,6,3,4,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [7,3,6,8,4,2,1,5]=>[7,6,3,4,2,1,8,5]=>[5,8,1,2,4,3,6,7]=>[[1,2,5,7,8],[3,4],[6]]=>19 [1,7,3,8,4,6,5,2]=>[3,7,8,4,6,5,1,2]=>[2,1,5,6,4,8,7,3]=>[[1,3,4,6],[2,5,7],[8]]=>14 [1,3,4,8,2,6,5,7]=>[3,4,8,6,1,2,5,7]=>[7,5,2,1,6,8,4,3]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [7,3,8,2,6,4,5,1]=>[3,7,2,8,4,6,5,1]=>[1,5,6,4,8,2,7,3]=>[[1,2,3,5],[4,7],[6,8]]=>19 [2,4,8,3,6,1,5,7]=>[2,8,4,6,3,1,5,7]=>[7,5,1,3,6,4,8,2]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [6,2,8,7,4,3,5,1]=>[8,6,4,2,3,7,5,1]=>[1,5,7,3,2,4,6,8]=>[[1,2,3,7,8],[4,6],[5]]=>19 [2,4,3,1,8,6,5,7]=>[8,4,2,3,6,1,5,7]=>[7,5,1,6,3,2,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [1,3,4,2,8,6,5,7]=>[3,8,4,6,1,2,5,7]=>[7,5,2,1,6,4,8,3]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [1,3,2,4,8,6,5,7]=>[3,8,6,1,2,4,5,7]=>[7,5,4,2,1,6,8,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [3,2,1,4,8,6,5,7]=>[8,3,2,6,1,4,5,7]=>[7,5,4,1,6,2,3,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [3,1,2,4,8,6,5,7]=>[3,8,1,6,2,4,5,7]=>[7,5,4,2,6,1,8,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [3,1,4,8,2,6,5,7]=>[8,3,1,4,6,2,5,7]=>[7,5,2,6,4,1,3,8]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [2,3,1,4,8,6,5,7]=>[2,8,3,6,1,4,5,7]=>[7,5,4,1,6,3,8,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [1,2,3,4,8,6,5,7]=>[8,1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>4 [4,8,3,6,2,1,5,7]=>[4,8,3,2,1,6,5,7]=>[7,5,6,1,2,3,8,4]=>[[1,3,6,7],[2,5,8],[4]]=>15 [3,5,8,2,6,1,4,7]=>[5,3,8,6,2,1,4,7]=>[7,4,1,2,6,8,3,5]=>[[1,4,5,6],[2,7,8],[3]]=>13 [3,6,5,8,2,4,1,7]=>[6,8,5,3,2,4,1,7]=>[7,1,4,2,3,5,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>15 [2,4,5,7,3,8,1,6]=>[7,4,5,8,2,3,1,6]=>[6,1,3,2,8,5,4,7]=>[[1,3,5,8],[2,6],[4,7]]=>11 [8,1,3,5,2,6,4,7]=>[5,3,6,1,2,4,8,7]=>[7,8,4,2,1,6,3,5]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [5,2,1,6,3,8,4,7]=>[2,5,6,1,3,8,4,7]=>[7,4,8,3,1,6,5,2]=>[[1,3],[2,6],[4,7],[5,8]]=>9 [3,6,1,5,8,4,2,7]=>[6,8,3,5,1,4,2,7]=>[7,2,4,1,5,3,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>12 [6,1,4,5,8,3,2,7]=>[4,6,8,5,1,3,2,7]=>[7,2,3,1,5,8,6,4]=>[[1,3,5,6],[2,7],[4,8]]=>13 [5,6,4,8,1,3,2,7]=>[5,1,6,8,4,3,2,7]=>[7,2,3,4,8,6,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>16 [6,5,4,3,8,2,1,7]=>[6,5,4,8,3,2,1,7]=>[7,1,2,3,8,4,5,6]=>[[1,3,4,5,7,8],[2,6]]=>18 [5,4,3,7,2,8,1,6]=>[5,4,7,3,8,2,1,6]=>[6,1,2,8,3,7,4,5]=>[[1,3,4,6,8],[2,5],[7]]=>15 [5,8,4,3,7,2,6,1]=>[5,4,8,7,3,2,6,1]=>[1,6,2,3,7,8,4,5]=>[[1,2,4,5,6],[3,7,8]]=>20 [4,6,8,3,7,2,5,1]=>[8,6,4,7,3,2,5,1]=>[1,5,2,3,7,4,6,8]=>[[1,2,4,5,7,8],[3,6]]=>19 [7,4,6,3,2,8,1,5]=>[7,4,3,2,6,1,8,5]=>[5,8,1,6,2,3,4,7]=>[[1,2,6,7,8],[3,4],[5]]=>18 [1,4,3,6,2,7,8,5]=>[4,6,3,7,8,1,2,5]=>[5,2,1,8,7,3,6,4]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [4,7,8,5,3,1,2,6]=>[7,4,1,8,5,3,2,6]=>[6,2,3,5,8,1,4,7]=>[[1,3,4,5],[2,7,8],[6]]=>18 [5,7,3,4,1,2,8,6]=>[3,1,7,5,4,8,2,6]=>[6,2,8,4,5,7,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>14 [8,5,4,7,6,2,1,3]=>[5,8,4,2,1,7,6,3]=>[3,6,7,1,2,4,8,5]=>[[1,2,3,7],[4,5,6,8]]=>22 [8,5,7,4,3,6,1,2]=>[8,5,4,3,1,7,6,2]=>[2,6,7,1,3,4,5,8]=>[[1,2,3,7,8],[4,5,6]]=>23 [4,7,8,3,6,1,5,2]=>[7,4,3,8,6,1,5,2]=>[2,5,1,6,8,3,4,7]=>[[1,2,4,5],[3,6,7,8]]=>19 [5,3,8,6,7,4,1,2]=>[3,8,5,6,1,7,4,2]=>[2,4,7,1,6,5,8,3]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [1,3,8,6,4,7,5,2]=>[3,6,8,7,4,5,1,2]=>[2,1,5,4,7,8,6,3]=>[[1,3,5,6],[2,4,7],[8]]=>13 [8,6,2,7,4,1,5,3]=>[8,2,1,6,4,7,5,3]=>[3,5,7,4,6,1,2,8]=>[[1,2,3,8],[4,5],[6,7]]=>20 [7,6,2,1,4,3,8,5]=>[2,4,1,3,7,6,8,5]=>[5,8,6,7,3,1,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [7,6,1,3,4,2,8,5]=>[3,4,1,2,7,6,8,5]=>[5,8,6,7,2,1,4,3]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [7,5,2,3,1,6,8,4]=>[2,3,1,5,7,6,8,4]=>[4,8,6,7,5,1,3,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [3,1,7,5,2,8,4,6]=>[3,7,5,1,8,2,4,6]=>[6,4,2,8,1,5,7,3]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [2,5,7,4,1,8,3,6]=>[7,5,4,8,2,1,3,6]=>[6,3,1,2,8,4,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>12 [4,2,6,1,7,8,3,5]=>[4,2,6,7,1,8,3,5]=>[5,3,8,1,7,6,2,4]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [3,2,6,8,7,4,5,1]=>[8,6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>15 [3,2,7,4,1,6,8,5]=>[3,2,7,4,6,8,1,5]=>[5,1,8,6,4,7,2,3]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [6,3,2,1,7,8,4,5]=>[3,2,6,7,1,4,8,5]=>[5,8,4,1,7,6,2,3]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [3,7,1,8,4,2,5,6]=>[3,7,1,4,2,8,5,6]=>[6,5,8,2,4,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [4,2,1,3,7,5,8,6]=>[2,4,1,7,8,3,5,6]=>[6,5,3,8,7,1,4,2]=>[[1,4],[2,5],[3,7],[6,8]]=>7 [8,1,3,7,4,2,6,5]=>[3,4,8,7,1,2,6,5]=>[5,6,2,1,7,8,4,3]=>[[1,2,5,6],[3,7],[4,8]]=>14 [8,3,5,2,7,6,1,4]=>[3,8,2,7,5,1,6,4]=>[4,6,1,5,7,2,8,3]=>[[1,2,5,7],[3,4,8],[6]]=>18 [3,6,2,8,7,1,5,4]=>[8,3,6,2,7,5,1,4]=>[4,1,5,7,2,6,3,8]=>[[1,3,4,8],[2,5,6],[7]]=>15 [7,3,2,8,1,6,5,4]=>[7,3,8,2,6,1,5,4]=>[4,5,1,6,2,8,3,7]=>[[1,2,4,6],[3,5,7,8]]=>16 [3,8,7,2,6,5,4,1]=>[8,3,7,6,5,2,4,1]=>[1,4,2,5,6,7,3,8]=>[[1,2,4,5,6,8],[3,7]]=>20 [4,2,7,8,6,1,5,3]=>[7,2,8,4,6,1,5,3]=>[3,5,1,6,4,8,2,7]=>[[1,2,4,6],[3,5,8],[7]]=>16 [6,8,2,4,7,1,5,3]=>[6,2,4,8,1,7,5,3]=>[3,5,7,1,8,4,2,6]=>[[1,2,3,5],[4,6,8],[7]]=>18 [6,2,8,1,5,7,4,3]=>[6,2,8,5,7,1,4,3]=>[3,4,1,7,5,8,2,6]=>[[1,2,4,6],[3,5,8],[7]]=>16 [5,7,8,2,6,1,4,3]=>[5,7,2,8,1,6,4,3]=>[3,4,6,1,8,2,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>19 [8,7,2,5,6,4,3,1]=>[2,8,7,5,6,4,3,1]=>[1,3,4,6,5,7,8,2]=>[[1,2,3,4,6,7],[5],[8]]=>23 [8,6,7,5,2,4,3,1]=>[2,6,8,7,5,4,3,1]=>[1,3,4,5,7,8,6,2]=>[[1,2,3,4,5,6],[7],[8]]=>25 [3,7,1,8,2,6,5,4]=>[3,7,8,1,6,5,2,4]=>[4,2,5,6,1,8,7,3]=>[[1,3,4,6],[2,7],[5,8]]=>14 [2,1,7,3,8,6,5,4]=>[7,8,2,6,5,1,3,4]=>[4,3,1,5,6,2,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>11 [8,2,1,7,6,5,4,3]=>[8,7,6,2,5,1,4,3]=>[3,4,1,5,2,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>18 [8,1,4,7,6,5,3,2]=>[8,7,4,6,5,1,3,2]=>[2,3,1,5,6,4,7,8]=>[[1,2,4,5,7,8],[3,6]]=>19 [8,6,7,5,1,4,3,2]=>[1,8,6,7,5,4,3,2]=>[2,3,4,5,7,6,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>24 [7,8,6,5,4,1,3,2]=>[1,7,8,6,5,4,3,2]=>[2,3,4,5,6,8,7,1]=>[[1,2,3,4,5,6],[7],[8]]=>25 [5,8,4,3,2,1,6,7]=>[5,4,3,2,1,8,6,7]=>[7,6,8,1,2,3,4,5]=>[[1,3,6,7,8],[2,5],[4]]=>16 [5,4,7,3,2,1,6,8]=>[5,7,4,3,2,1,6,8]=>[8,6,1,2,3,4,7,5]=>[[1,4,5,6,7],[2,8],[3]]=>14 [6,5,3,7,2,1,4,8]=>[3,6,5,2,1,7,4,8]=>[8,4,7,1,2,5,6,3]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [6,3,7,8,2,1,4,5]=>[6,7,3,2,1,4,8,5]=>[5,8,4,1,2,3,7,6]=>[[1,2,6,7],[3,5],[4,8]]=>16 [3,8,7,6,2,1,4,5]=>[3,2,1,8,7,6,4,5]=>[5,4,6,7,8,1,2,3]=>[[1,3,4,5],[2,7,8],[6]]=>18 [4,8,7,2,5,1,3,6]=>[2,4,1,8,7,5,3,6]=>[6,3,5,7,8,1,4,2]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [5,8,3,2,6,1,4,7]=>[3,2,5,1,8,6,4,7]=>[7,4,6,8,1,5,2,3]=>[[1,3,4],[2,6,8],[5],[7]]=>15 [4,8,3,2,5,1,7,6]=>[4,3,2,5,8,7,1,6]=>[6,1,7,8,5,2,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>14 [4,3,7,2,5,1,8,6]=>[7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[[1,3,6,7,8],[2,4],[5]]=>12 [3,8,7,2,5,1,4,6]=>[3,8,2,1,7,5,4,6]=>[6,4,5,7,1,2,8,3]=>[[1,3,4,7],[2,6,8],[5]]=>16 [5,2,7,6,8,1,3,4]=>[7,5,6,2,1,3,8,4]=>[4,8,3,1,2,6,5,7]=>[[1,2,6,8],[3,5],[4,7]]=>15 [2,8,7,6,5,1,3,4]=>[2,1,8,7,6,5,3,4]=>[4,3,5,6,7,8,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>19 [6,5,4,3,1,7,8,2]=>[1,6,5,4,3,7,8,2]=>[2,8,7,3,4,5,6,1]=>[[1,2,5,6,7],[3],[4],[8]]=>16 [6,4,7,3,1,5,8,2]=>[4,1,6,3,7,5,8,2]=>[2,8,5,7,3,6,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [5,4,7,3,1,8,6,2]=>[5,1,7,4,8,3,6,2]=>[2,6,3,8,4,7,1,5]=>[[1,2,4,6],[3,5],[7,8]]=>16 [6,4,3,7,1,5,8,2]=>[4,3,1,6,7,5,8,2]=>[2,8,5,7,6,1,3,4]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [5,4,3,6,1,8,7,2]=>[5,4,3,8,1,6,7,2]=>[2,7,6,1,8,3,4,5]=>[[1,2,5,8],[3,6,7],[4]]=>14 [6,3,7,8,1,4,5,2]=>[6,3,7,1,4,8,5,2]=>[2,5,8,4,1,7,3,6]=>[[1,2,3],[4,6,8],[5,7]]=>17 [5,3,7,6,1,4,8,2]=>[3,5,7,1,6,4,8,2]=>[2,8,4,6,1,7,5,3]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [4,3,7,6,1,5,8,2]=>[7,4,3,6,1,5,8,2]=>[2,8,5,1,6,3,4,7]=>[[1,2,5,8],[3,6,7],[4]]=>14 [3,8,7,6,1,4,5,2]=>[8,3,1,7,6,4,5,2]=>[2,5,4,6,7,1,3,8]=>[[1,2,4,5,8],[3,7],[6]]=>19 [6,5,4,2,1,7,3,8]=>[2,1,6,5,4,7,3,8]=>[8,3,7,4,5,6,1,2]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [6,4,7,2,1,5,3,8]=>[4,2,1,6,7,5,3,8]=>[8,3,5,7,6,1,2,4]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [4,8,3,2,1,5,7,6]=>[4,3,2,8,1,7,5,6]=>[6,5,7,1,8,2,3,4]=>[[1,3,5,8],[2,6,7],[4]]=>13 [3,8,7,2,1,4,5,6]=>[3,2,1,4,8,7,5,6]=>[6,5,7,8,4,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [6,5,2,7,1,4,3,8]=>[6,2,1,5,7,4,3,8]=>[8,3,4,7,5,1,2,6]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [6,4,2,7,1,5,3,8]=>[2,4,1,6,7,5,3,8]=>[8,3,5,7,6,1,4,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [5,4,2,6,1,8,3,7]=>[2,5,4,6,1,8,3,7]=>[7,3,8,1,6,4,5,2]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [3,2,7,6,1,4,5,8]=>[7,6,3,2,1,4,5,8]=>[8,5,4,1,2,3,6,7]=>[[1,5,6,7,8],[2],[3],[4]]=>10 [5,8,4,1,6,7,3,2]=>[1,8,5,4,6,7,3,2]=>[2,3,7,6,4,5,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>18 [6,4,7,1,5,8,3,2]=>[1,4,6,7,5,8,3,2]=>[2,3,8,5,7,6,4,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>17 [4,8,3,1,5,6,7,2]=>[1,4,3,5,8,6,7,2]=>[2,7,6,8,5,3,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [3,8,7,1,5,4,6,2]=>[3,8,7,1,5,4,6,2]=>[2,6,4,5,1,7,8,3]=>[[1,2,4,6,7],[3,8],[5]]=>17 [6,3,2,1,5,4,8,7]=>[3,2,6,1,5,8,4,7]=>[7,4,8,5,1,6,2,3]=>[[1,3,6],[2,4,8],[5,7]]=>10 [5,3,2,1,6,4,8,7]=>[3,2,1,5,6,8,4,7]=>[7,4,8,6,5,1,2,3]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [3,8,2,1,5,4,6,7]=>[3,2,5,1,4,8,6,7]=>[7,6,8,4,1,5,2,3]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [6,2,7,1,5,4,3,8]=>[2,6,7,5,1,4,3,8]=>[8,3,4,1,5,7,6,2]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [3,2,7,1,5,4,6,8]=>[3,2,7,5,1,4,6,8]=>[8,6,4,1,5,7,2,3]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [6,5,1,7,8,4,3,2]=>[6,5,7,8,1,4,3,2]=>[2,3,4,1,8,7,5,6]=>[[1,2,3,5,8],[4,6],[7]]=>18 [5,8,1,6,7,4,3,2]=>[5,8,6,7,1,4,3,2]=>[2,3,4,1,7,6,8,5]=>[[1,2,3,5,7],[4,6],[8]]=>19 [4,8,1,6,5,7,3,2]=>[8,1,6,4,5,7,3,2]=>[2,3,7,5,4,6,1,8]=>[[1,2,3,6,8],[4],[5],[7]]=>17 [5,3,1,6,7,4,8,2]=>[1,3,5,6,7,4,8,2]=>[2,8,4,7,6,5,3,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>12 [4,3,1,6,5,7,8,2]=>[1,4,6,3,5,7,8,2]=>[2,8,7,5,3,6,4,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [4,2,1,6,5,7,3,8]=>[2,6,1,4,5,7,3,8]=>[8,3,7,5,4,1,6,2]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [2,8,1,6,5,4,3,7]=>[8,6,2,5,1,4,3,7]=>[7,3,4,1,5,2,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>13 [4,1,7,6,5,8,3,2]=>[7,6,4,5,8,1,3,2]=>[2,3,1,8,5,4,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>15 [3,1,7,6,5,4,8,2]=>[7,6,5,1,3,4,8,2]=>[2,8,4,3,1,5,6,7]=>[[1,2,6,7,8],[3],[4],[5]]=>13 [4,5,8,1,2,6,3,7]=>[1,4,2,8,5,6,3,7]=>[7,3,6,5,8,2,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [1,7,3,5,6,2,4,8]=>[5,7,6,1,3,2,4,8]=>[8,4,2,3,1,6,7,5]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [3,4,5,6,8,1,7,2]=>[3,4,5,6,8,1,7,2]=>[2,7,1,8,6,5,4,3]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [4,5,8,2,6,7,1,3]=>[8,4,5,2,6,1,7,3]=>[3,7,1,6,2,5,4,8]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [8,2,3,5,6,7,1,4]=>[2,3,8,5,6,1,7,4]=>[4,7,1,6,5,8,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [1,7,2,3,5,4,6,8]=>[7,1,2,3,5,4,6,8]=>[8,6,4,5,3,2,1,7]=>[[1,4,8],[2],[3],[5],[6],[7]]=>6 [8,1,2,3,5,4,6,7]=>[5,1,2,3,4,6,8,7]=>[7,8,6,4,3,2,1,5]=>[[1,2],[3,8],[4],[5],[6],[7]]=>8 [2,7,8,1,3,5,4,6]=>[2,1,3,7,8,5,4,6]=>[6,4,5,8,7,3,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [2,7,8,3,5,6,1,4]=>[7,2,5,8,6,3,1,4]=>[4,1,3,6,8,5,2,7]=>[[1,3,4,5],[2,6,8],[7]]=>16 [2,4,5,7,8,1,6,3]=>[7,8,4,5,2,6,1,3]=>[3,1,6,2,5,4,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>12 [4,5,8,7,2,1,6,3]=>[4,8,5,2,7,1,6,3]=>[3,6,1,7,2,5,8,4]=>[[1,2,4,7],[3,5,6],[8]]=>17 [8,7,3,5,6,2,1,4]=>[3,8,5,2,1,7,6,4]=>[4,6,7,1,2,5,8,3]=>[[1,2,3,7],[4,5,6],[8]]=>22 [8,7,2,1,3,5,4,6]=>[2,5,1,3,4,8,7,6]=>[6,7,8,4,3,1,5,2]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [8,6,4,1,7,5,3,2]=>[1,4,8,6,7,5,3,2]=>[2,3,5,7,6,8,4,1]=>[[1,2,3,4,6],[5],[7],[8]]=>21 [7,6,4,3,1,8,5,2]=>[1,4,3,7,6,8,5,2]=>[2,5,8,6,7,3,4,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [2,3,6,7,8,1,5,4]=>[6,7,2,8,3,5,1,4]=>[4,1,5,3,8,2,7,6]=>[[1,3,5],[2,4,7],[6,8]]=>12 [7,1,4,2,8,3,6,5]=>[4,1,7,8,2,3,6,5]=>[5,6,3,2,8,7,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [7,1,8,2,5,3,6,4]=>[1,7,2,3,8,5,6,4]=>[4,6,5,8,3,2,7,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [1,7,6,3,2,5,4,8]=>[1,7,3,6,5,2,4,8]=>[8,4,2,5,6,3,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [8,2,5,7,6,3,1,4]=>[8,7,2,5,3,1,6,4]=>[4,6,1,3,5,2,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>19 [8,2,6,7,5,4,1,3]=>[6,8,7,5,2,1,4,3]=>[3,4,1,2,5,7,8,6]=>[[1,2,5,6,7],[3,4,8]]=>21 [2,7,8,6,3,1,5,4]=>[2,7,3,8,6,5,1,4]=>[4,1,5,6,8,3,7,2]=>[[1,3,4,5],[2,6,7],[8]]=>17 [2,7,8,1,6,5,4,3]=>[7,8,2,6,5,4,1,3]=>[3,1,4,5,6,2,8,7]=>[[1,3,4,5,7],[2,6,8]]=>17 [7,3,1,8,6,5,4,2]=>[7,8,6,1,3,5,4,2]=>[2,4,5,3,1,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>18 [8,7,2,1,6,5,4,3]=>[8,7,2,6,1,5,4,3]=>[3,4,5,1,6,2,7,8]=>[[1,2,3,5,7,8],[4,6]]=>20 [8,7,6,3,2,1,5,4]=>[3,2,8,1,7,6,5,4]=>[4,5,6,7,1,8,2,3]=>[[1,2,3,4,6],[5,7,8]]=>22 [2,1,8,6,3,7,4,5]=>[2,6,1,8,7,3,4,5]=>[5,4,3,7,8,1,6,2]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [8,6,1,5,2,7,4,3]=>[8,1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1,8]=>[[1,2,3,5,8],[4],[6],[7]]=>18 [2,1,7,5,4,3,8,6]=>[7,2,5,4,8,1,3,6]=>[6,3,1,8,4,5,2,7]=>[[1,4,6,8],[2,5],[3,7]]=>9 [2,1,7,8,3,6,5,4]=>[2,7,8,6,5,1,3,4]=>[4,3,1,5,6,8,7,2]=>[[1,4,5,6],[2,7],[3,8]]=>12 [6,4,1,5,2,3,8,7]=>[4,1,2,6,5,8,3,7]=>[7,3,8,5,6,2,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [5,8,3,7,6,2,1,4]=>[8,5,7,3,2,1,6,4]=>[4,6,1,2,3,7,5,8]=>[[1,2,5,6,8],[3,4,7]]=>20 [4,2,6,3,8,5,1,7]=>[4,6,2,8,3,5,1,7]=>[7,1,5,3,8,2,6,4]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [8,5,2,7,4,6,1,3]=>[8,5,2,4,1,7,6,3]=>[3,6,7,1,4,2,5,8]=>[[1,2,3,8],[4,5,7],[6]]=>20 [6,3,8,1,5,7,4,2]=>[8,3,6,1,5,7,4,2]=>[2,4,7,5,1,6,3,8]=>[[1,2,3,6,8],[4,7],[5]]=>17 [8,3,2,4,1,7,5,6]=>[3,8,2,4,1,5,7,6]=>[6,7,5,1,4,2,8,3]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [7,2,4,3,1,5,8,6]=>[4,2,3,1,5,7,8,6]=>[6,8,7,5,1,3,2,4]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [7,8,3,1,5,4,6,2]=>[7,1,3,5,4,8,6,2]=>[2,6,8,4,5,3,1,7]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [7,2,8,1,4,6,5,3]=>[7,2,8,1,6,4,5,3]=>[3,5,4,6,1,8,2,7]=>[[1,2,4,6],[3,7,8],[5]]=>16 [6,2,3,1,4,5,8,7]=>[2,3,1,4,6,8,5,7]=>[7,5,8,6,4,1,3,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>8 [6,7,1,5,4,3,8,2]=>[6,7,5,1,4,3,8,2]=>[2,8,3,4,1,5,7,6]=>[[1,2,4,6,7],[3,8],[5]]=>17 [8,7,5,1,3,4,2,6]=>[1,5,3,4,2,8,7,6]=>[6,7,8,2,4,3,5,1]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [8,3,5,6,1,7,4,2]=>[3,1,5,8,6,7,4,2]=>[2,4,7,6,8,5,1,3]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [7,5,4,8,2,1,3,6]=>[5,4,2,1,7,3,8,6]=>[6,8,3,7,1,2,4,5]=>[[1,2,7,8],[3,4],[5,6]]=>18 [7,3,6,5,4,1,8,2]=>[7,6,3,1,5,4,8,2]=>[2,8,4,5,1,3,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>18 [6,3,5,4,1,2,8,7]=>[6,3,1,5,4,8,2,7]=>[7,2,8,4,5,1,3,6]=>[[1,3,5,8],[2,4],[6,7]]=>13 [2,6,3,5,1,4,8,7]=>[6,2,5,3,8,1,4,7]=>[7,4,1,8,3,5,2,6]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [2,7,8,5,1,6,4,3]=>[2,7,5,8,6,4,1,3]=>[3,1,4,6,8,5,7,2]=>[[1,3,4,5],[2,6,7],[8]]=>17 [8,7,3,6,5,1,4,2]=>[3,8,7,1,6,5,4,2]=>[2,4,5,6,1,7,8,3]=>[[1,2,3,4,6,7],[5,8]]=>23 [2,8,3,4,6,1,5,7]=>[8,2,3,4,1,6,5,7]=>[7,5,6,1,4,3,2,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [2,7,4,3,6,1,8,5]=>[2,7,4,6,3,8,1,5]=>[5,1,8,3,6,4,7,2]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [3,4,7,2,8,1,5,6]=>[3,7,8,4,2,1,5,6]=>[6,5,1,2,4,8,7,3]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [4,3,2,5,7,1,8,6]=>[4,3,7,2,5,8,1,6]=>[6,1,8,5,2,7,3,4]=>[[1,3,6,8],[2,4],[5,7]]=>10 [8,2,4,7,5,1,6,3]=>[2,8,4,1,7,5,6,3]=>[3,6,5,7,1,4,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [3,8,4,7,1,6,5,2]=>[8,3,4,7,6,1,5,2]=>[2,5,1,6,7,4,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>17 [3,2,4,6,1,5,8,7]=>[3,6,2,4,8,1,5,7]=>[7,5,1,8,4,2,6,3]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [5,6,8,1,4,2,7,3]=>[5,1,6,2,8,4,7,3]=>[3,7,4,8,2,6,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [1,5,7,8,4,6,2,3]=>[7,8,5,4,1,6,2,3]=>[3,2,6,1,4,5,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>15 [1,3,5,7,8,6,2,4]=>[7,8,5,6,3,1,2,4]=>[4,2,1,3,6,5,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>11 [3,5,1,6,8,2,7,4]=>[5,3,6,8,1,7,2,4]=>[4,2,7,1,8,6,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>11 [3,1,5,6,8,2,7,4]=>[3,5,6,8,1,7,2,4]=>[4,2,7,1,8,6,5,3]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [2,3,5,6,8,1,7,4]=>[8,5,6,2,3,7,1,4]=>[4,1,7,3,2,6,5,8]=>[[1,3,6,8],[2,4],[5,7]]=>10 [2,5,1,6,8,3,7,4]=>[2,5,6,8,1,7,3,4]=>[4,3,7,1,8,6,5,2]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [5,1,2,6,8,3,7,4]=>[5,6,8,1,2,3,7,4]=>[4,7,3,2,1,8,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [5,7,1,8,6,2,3,4]=>[5,1,7,2,8,3,6,4]=>[4,6,3,8,2,7,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [1,6,7,5,2,8,3,4]=>[1,6,7,5,2,8,3,4]=>[4,3,8,2,5,7,6,1]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [6,1,7,5,2,8,3,4]=>[1,6,7,5,2,3,8,4]=>[4,8,3,2,5,7,6,1]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [2,6,7,5,1,8,3,4]=>[6,2,7,5,1,8,3,4]=>[4,3,8,1,5,7,2,6]=>[[1,3,6],[2,5,8],[4,7]]=>14 [5,7,2,8,6,1,3,4]=>[5,7,2,1,8,3,6,4]=>[4,6,3,8,1,2,7,5]=>[[1,2,4],[3,6,7],[5,8]]=>17 [3,5,7,8,6,2,1,4]=>[7,8,5,6,3,2,1,4]=>[4,1,2,3,6,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>17 [5,1,7,8,6,3,4,2]=>[7,8,5,1,6,3,4,2]=>[2,4,3,6,1,5,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>17 [5,1,3,7,8,6,4,2]=>[7,8,1,5,6,3,4,2]=>[2,4,3,6,5,1,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>14 [5,2,7,8,4,6,1,3]=>[7,8,5,2,4,1,6,3]=>[3,6,1,4,2,5,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>17 [3,2,5,7,8,6,1,4]=>[7,8,3,5,6,2,1,4]=>[4,1,2,6,5,3,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>13 [6,2,7,5,4,1,8,3]=>[6,7,5,2,1,4,8,3]=>[3,8,4,1,2,5,7,6]=>[[1,2,6,7],[3,5,8],[4]]=>16 [5,1,7,8,6,4,3,2]=>[7,8,5,6,4,1,3,2]=>[2,3,1,4,6,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>18 [2,5,7,8,6,3,1,4]=>[7,8,5,2,6,3,1,4]=>[4,1,3,6,2,5,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>16 [5,1,7,8,6,3,2,4]=>[7,8,5,3,1,2,6,4]=>[4,6,2,1,3,5,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>16 [6,3,7,5,1,8,2,4]=>[6,3,7,1,5,2,8,4]=>[4,8,2,5,1,7,3,6]=>[[1,2,6],[3,4,8],[5,7]]=>16 [1,6,7,5,3,8,2,4]=>[1,6,7,5,8,3,2,4]=>[4,2,3,8,5,7,6,1]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [1,6,7,5,4,2,8,3]=>[6,1,7,5,4,8,2,3]=>[3,2,8,4,5,7,1,6]=>[[1,3,5,6],[2,4],[7,8]]=>14 [4,1,7,2,6,5,8,3]=>[7,4,6,1,2,5,8,3]=>[3,8,5,2,1,6,4,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [2,4,7,1,5,6,8,3]=>[4,2,7,5,6,8,1,3]=>[3,1,8,6,5,7,2,4]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [6,7,4,1,5,2,8,3]=>[6,1,4,2,7,5,8,3]=>[3,8,5,7,2,4,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [1,6,7,4,5,2,8,3]=>[6,4,1,7,5,8,2,3]=>[3,2,8,5,7,1,4,6]=>[[1,3,5],[2,4,8],[6,7]]=>13 [1,6,3,7,5,8,2,4]=>[6,7,5,8,1,3,2,4]=>[4,2,3,1,8,5,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>12 [2,5,3,7,8,6,1,4]=>[7,8,2,5,6,3,1,4]=>[4,1,3,6,5,2,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>13 [6,7,5,4,2,1,8,3]=>[6,2,1,7,5,4,8,3]=>[3,8,4,5,7,1,2,6]=>[[1,2,4,5],[3,7,8],[6]]=>19 [6,3,2,7,5,8,1,4]=>[3,6,7,2,5,1,8,4]=>[4,8,1,5,2,7,6,3]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [6,2,7,4,5,1,8,3]=>[6,2,7,4,1,5,8,3]=>[3,8,5,1,4,7,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [7,5,1,6,3,8,2,4]=>[7,1,5,3,6,2,8,4]=>[4,8,2,6,3,5,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [7,5,1,6,3,8,4,2]=>[7,1,5,3,6,8,4,2]=>[2,4,8,6,3,5,1,7]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [2,7,6,1,3,8,4,5]=>[2,7,1,6,3,8,4,5]=>[5,4,8,3,6,1,7,2]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [7,3,5,1,8,2,4,6]=>[5,3,1,7,2,4,8,6]=>[6,8,4,2,7,1,3,5]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [3,7,5,1,8,6,2,4]=>[5,3,7,1,8,6,2,4]=>[4,2,6,8,1,7,3,5]=>[[1,3,4],[2,6,8],[5,7]]=>15 [2,6,7,1,5,8,3,4]=>[2,6,7,5,1,8,3,4]=>[4,3,8,1,5,7,6,2]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [2,6,7,4,1,8,3,5]=>[2,6,7,4,1,8,3,5]=>[5,3,8,1,4,7,6,2]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [2,1,6,7,3,8,5,4]=>[6,2,7,8,5,1,3,4]=>[4,3,1,5,8,7,2,6]=>[[1,4,5],[2,6,8],[3,7]]=>10 [2,6,7,4,1,8,5,3]=>[6,4,2,7,8,5,1,3]=>[3,1,5,8,7,2,4,6]=>[[1,3,4,8],[2,5,7],[6]]=>14 [3,6,5,1,8,4,7,2]=>[3,6,8,5,1,4,7,2]=>[2,7,4,1,5,8,6,3]=>[[1,2,5,6],[3,7],[4,8]]=>14 [3,6,5,1,8,4,2,7]=>[6,5,3,8,1,4,2,7]=>[7,2,4,1,8,3,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>13 [3,7,5,4,8,1,6,2]=>[7,3,5,4,8,1,6,2]=>[2,6,1,8,4,5,3,7]=>[[1,2,4,8],[3,5,6],[7]]=>16 [3,7,5,4,8,1,2,6]=>[7,3,5,1,8,4,2,6]=>[6,2,4,8,1,5,3,7]=>[[1,3,4,8],[2,6],[5,7]]=>15 [4,6,1,5,8,7,3,2]=>[6,8,1,4,5,7,3,2]=>[2,3,7,5,4,1,8,6]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [4,7,1,5,8,3,6,2]=>[4,7,8,1,5,3,6,2]=>[2,6,3,5,1,8,7,4]=>[[1,2,4,6],[3,7],[5,8]]=>15 [2,3,4,7,8,1,6,5]=>[7,2,8,3,4,6,1,5]=>[5,1,6,4,3,8,2,7]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [6,8,5,4,3,2,7,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[[1,2,4,5,6,7,8],[3]]=>22 [7,9,6,5,4,3,2,8,1]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[[1,2,4,5,6,7,8,9],[3]]=>29 [8,9,6,5,4,3,2,1,7]=>[8,6,5,4,3,2,1,9,7]=>[7,9,1,2,3,4,5,6,8]=>[[1,2,5,6,7,8,9],[3,4]]=>29 [6,8,5,4,3,7,2,1]=>[8,6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6,8]=>[[1,2,3,5,6,7,8],[4]]=>23 [5,8,4,3,2,1,7,6]=>[5,4,3,2,8,7,1,6]=>[6,1,7,8,2,3,4,5]=>[[1,3,4,7,8],[2,5,6]]=>17 [6,5,4,3,1,8,7,2]=>[1,6,5,4,8,3,7,2]=>[2,7,3,8,4,5,6,1]=>[[1,2,4,6,7],[3,5],[8]]=>17 [8,7,6,5,4,3,9,1,2]=>[8,7,6,5,4,3,1,9,2]=>[2,9,1,3,4,5,6,7,8]=>[[1,2,5,6,7,8,9],[3,4]]=>29 [8,3,4,6,2,1,5,7]=>[6,3,4,2,1,5,8,7]=>[7,8,5,1,2,4,3,6]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [3,5,6,2,1,8,4,7]=>[5,6,3,8,2,1,4,7]=>[7,4,1,2,8,3,6,5]=>[[1,4,5,7],[2,6],[3,8]]=>11 [3,5,2,6,8,4,1,7]=>[5,8,3,6,2,4,1,7]=>[7,1,4,2,6,3,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>12 [7,5,3,2,8,4,1,6]=>[3,2,5,7,4,1,8,6]=>[6,8,1,4,7,5,2,3]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [7,5,3,2,8,4,6,1]=>[3,2,5,7,4,8,6,1]=>[1,6,8,4,7,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [2,4,5,7,3,8,6,1]=>[7,4,5,8,2,3,6,1]=>[1,6,3,2,8,5,4,7]=>[[1,2,5,8],[3,6],[4,7]]=>12 [4,2,5,6,8,3,1,7]=>[8,2,4,5,6,3,1,7]=>[7,1,3,6,5,4,2,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>12 [4,2,8,1,5,6,3,7]=>[4,8,2,1,5,6,3,7]=>[7,3,6,5,1,2,8,4]=>[[1,3,7],[2,6,8],[4],[5]]=>11 [4,5,6,3,8,2,1,7]=>[4,5,6,8,3,2,1,7]=>[7,1,2,3,8,6,5,4]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [6,4,7,3,2,8,5,1]=>[4,6,3,2,7,8,5,1]=>[1,5,8,7,2,3,6,4]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [6,1,4,7,3,2,8,5]=>[4,6,3,1,2,7,8,5]=>[5,8,7,2,1,3,6,4]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [1,7,8,4,5,3,2,6]=>[7,1,8,4,5,3,2,6]=>[6,2,3,5,4,8,1,7]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [2,5,1,7,4,3,8,6]=>[5,2,7,4,8,1,3,6]=>[6,3,1,8,4,7,2,5]=>[[1,4,6],[2,5,8],[3,7]]=>9 [2,5,7,4,1,8,6,3]=>[7,5,4,8,2,6,1,3]=>[3,1,6,2,8,4,5,7]=>[[1,3,5,7,8],[2,4,6]]=>13 [5,3,7,1,4,8,6,2]=>[3,5,1,7,8,4,6,2]=>[2,6,4,8,7,1,5,3]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [6,7,2,4,1,8,5,3]=>[6,2,1,4,7,8,5,3]=>[3,5,8,7,4,1,2,6]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [6,7,2,1,4,3,8,5]=>[2,6,1,4,3,7,8,5]=>[5,8,7,3,4,1,6,2]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [6,4,7,3,1,2,8,5]=>[4,1,6,3,2,7,8,5]=>[5,8,7,2,3,6,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [5,6,3,1,2,7,8,4]=>[1,5,3,2,6,7,8,4]=>[4,8,7,6,2,3,5,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [5,6,1,3,2,7,8,4]=>[5,1,3,2,6,7,8,4]=>[4,8,7,6,2,3,1,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [5,6,3,2,1,7,8,4]=>[5,3,2,1,6,7,8,4]=>[4,8,7,6,1,2,3,5]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [2,6,4,7,3,1,8,5]=>[6,7,2,4,3,8,1,5]=>[5,1,8,3,4,2,7,6]=>[[1,3,5,7],[2,4],[6,8]]=>12 [6,3,7,2,8,4,5,1]=>[6,3,7,2,4,8,5,1]=>[1,5,8,4,2,7,3,6]=>[[1,2,3,8],[4,6],[5,7]]=>17 [6,3,7,2,8,4,1,5]=>[6,3,7,2,4,1,8,5]=>[5,8,1,4,2,7,3,6]=>[[1,2,6,8],[3,4],[5,7]]=>16 [6,3,2,7,1,8,4,5]=>[3,6,2,7,1,4,8,5]=>[5,8,4,1,7,2,6,3]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [7,5,3,2,1,8,4,6]=>[3,2,1,5,7,4,8,6]=>[6,8,4,7,5,1,2,3]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [7,3,8,4,2,1,5,6]=>[3,7,4,2,1,5,8,6]=>[6,8,5,1,2,4,7,3]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [6,3,7,8,5,2,1,4]=>[6,7,8,3,2,1,5,4]=>[4,5,1,2,3,8,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>19 [4,6,2,1,7,8,5,3]=>[4,2,6,7,8,1,5,3]=>[3,5,1,8,7,6,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [2,5,1,7,3,8,6,4]=>[2,5,7,8,1,6,3,4]=>[4,3,6,1,8,7,5,2]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [6,7,2,1,3,8,5,4]=>[2,1,3,6,7,8,5,4]=>[4,5,8,7,6,3,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [6,3,7,1,8,5,2,4]=>[6,3,7,1,8,2,5,4]=>[4,5,2,8,1,7,3,6]=>[[1,2,4],[3,6,8],[5,7]]=>16 [6,2,1,7,3,8,5,4]=>[6,2,7,8,1,3,5,4]=>[4,5,3,1,8,7,2,6]=>[[1,2,5],[3,6,8],[4,7]]=>12 [6,3,1,7,8,5,4,2]=>[6,7,8,1,3,5,4,2]=>[2,4,5,3,1,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>16 [5,3,2,1,8,4,7,6]=>[3,2,5,8,1,7,4,6]=>[6,4,7,1,8,5,2,3]=>[[1,3,5],[2,6,8],[4,7]]=>11 [3,6,5,8,2,1,7,4]=>[6,8,5,3,2,7,1,4]=>[4,1,7,2,3,5,8,6]=>[[1,3,5,6,7],[2,4,8]]=>15 [4,5,2,1,3,8,7,6]=>[4,2,8,1,5,7,3,6]=>[6,3,7,5,1,8,2,4]=>[[1,3,6],[2,4,8],[5,7]]=>10 [3,2,6,4,5,8,1,7]=>[6,3,8,2,4,5,1,7]=>[7,1,5,4,2,8,3,6]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [1,6,2,4,5,8,3,7]=>[1,6,8,4,5,2,3,7]=>[7,3,2,5,4,8,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [5,3,2,1,6,8,4,7]=>[3,2,8,1,5,6,4,7]=>[7,4,6,5,1,8,2,3]=>[[1,3,6],[2,7,8],[4],[5]]=>10 [6,2,4,5,8,1,3,7]=>[2,6,8,4,1,5,3,7]=>[7,3,5,1,4,8,6,2]=>[[1,3,6],[2,5,7],[4],[8]]=>13 [2,8,4,1,7,6,3,5]=>[8,2,7,4,1,6,3,5]=>[5,3,6,1,4,7,2,8]=>[[1,3,6,8],[2,5],[4,7]]=>14 [8,1,4,2,7,3,6,5]=>[4,8,1,7,2,3,6,5]=>[5,6,3,2,7,1,8,4]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [1,5,3,2,8,7,4,6]=>[8,5,7,1,3,2,4,6]=>[6,4,2,3,1,7,5,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [1,7,6,4,5,8,3,2]=>[4,7,6,5,8,3,1,2]=>[2,1,3,8,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>16 [5,8,7,4,6,2,1,3]=>[8,7,5,4,2,1,6,3]=>[3,6,1,2,4,5,7,8]=>[[1,2,5,6,7,8],[3,4]]=>22 [3,4,2,5,8,6,7,1]=>[8,3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>11 [4,1,3,5,6,8,7,2]=>[4,8,1,3,5,6,7,2]=>[2,7,6,5,3,1,8,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [2,4,8,6,7,1,3,5]=>[6,8,7,4,2,1,3,5]=>[5,3,1,2,4,7,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>14 [4,3,6,2,8,1,7,5]=>[4,6,8,3,2,7,1,5]=>[5,1,7,2,3,8,6,4]=>[[1,3,5,6],[2,4,7],[8]]=>13 [3,7,4,8,2,1,6,5]=>[7,3,4,2,8,6,1,5]=>[5,1,6,8,2,4,3,7]=>[[1,3,4,8],[2,5,6],[7]]=>15 [2,3,5,8,6,7,1,4]=>[5,8,6,7,2,3,1,4]=>[4,1,3,2,7,6,8,5]=>[[1,3,5,7],[2,6],[4,8]]=>12 [2,1,8,5,6,7,3,4]=>[5,6,8,7,2,1,3,4]=>[4,3,1,2,7,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>12 [4,2,3,7,1,8,6,5]=>[4,2,7,8,3,6,1,5]=>[5,1,6,3,8,7,2,4]=>[[1,3,5],[2,4,6],[7,8]]=>11 [3,2,6,4,8,1,7,5]=>[6,8,3,2,4,7,1,5]=>[5,1,7,4,2,3,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>11 [1,7,5,3,8,4,2,6]=>[7,5,1,8,3,4,2,6]=>[6,2,4,3,8,1,5,7]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [7,2,4,8,5,3,1,6]=>[7,4,5,2,3,1,8,6]=>[6,8,1,3,2,5,4,7]=>[[1,2,6,8],[3,4],[5,7]]=>16 [8,4,2,3,7,1,5,6]=>[4,2,8,3,1,5,7,6]=>[6,7,5,1,3,8,2,4]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [4,8,2,3,6,7,1,5]=>[2,4,6,8,7,3,1,5]=>[5,1,3,7,8,6,4,2]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [3,5,2,7,6,1,8,4]=>[5,7,3,6,2,8,1,4]=>[4,1,8,2,6,3,7,5]=>[[1,3,5,7],[2,4,8],[6]]=>12 [1,6,3,2,5,8,7,4]=>[1,6,8,3,5,7,2,4]=>[4,2,7,5,3,8,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [5,8,7,3,4,6,2,1]=>[3,8,7,5,4,6,2,1]=>[1,2,6,4,5,7,8,3]=>[[1,2,3,5,6,7],[4],[8]]=>22 [6,3,2,1,8,5,7,4]=>[3,8,2,6,1,5,7,4]=>[4,7,5,1,6,2,8,3]=>[[1,2,5,7],[3,6,8],[4]]=>13 [2,7,5,4,1,8,6,3]=>[5,4,2,7,8,6,1,3]=>[3,1,6,8,7,2,4,5]=>[[1,3,4,8],[2,5,7],[6]]=>14 [1,8,4,2,5,6,7,3]=>[1,4,5,6,8,7,2,3]=>[3,2,7,8,6,5,4,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [3,8,4,1,5,6,7,2]=>[3,1,4,5,8,6,7,2]=>[2,7,6,8,5,4,1,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [5,2,4,7,1,8,6,3]=>[5,2,4,7,8,1,6,3]=>[3,6,1,8,7,4,2,5]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [8,6,4,1,3,2,5,7]=>[4,1,3,2,6,5,8,7]=>[7,8,5,6,2,3,1,4]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [8,1,3,6,5,2,4,7]=>[6,5,3,1,2,4,8,7]=>[7,8,4,2,1,3,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [8,1,4,3,6,5,2,7]=>[4,6,3,5,1,2,8,7]=>[7,8,2,1,5,3,6,4]=>[[1,2,7],[3,5,8],[4,6]]=>13 [3,6,5,2,1,8,7,4]=>[6,5,3,8,2,7,1,4]=>[4,1,7,2,8,3,5,6]=>[[1,3,5,7,8],[2,4,6]]=>13 [8,3,2,4,6,5,1,7]=>[3,6,2,4,5,1,8,7]=>[7,8,1,5,4,2,6,3]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [8,4,2,1,6,5,3,7]=>[2,6,1,4,5,3,8,7]=>[7,8,3,5,4,1,6,2]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [8,4,1,2,6,5,3,7]=>[6,1,2,4,5,3,8,7]=>[7,8,3,5,4,2,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [8,6,4,2,1,5,3,7]=>[2,1,4,6,5,3,8,7]=>[7,8,3,5,6,4,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [8,2,6,3,4,5,1,7]=>[2,3,6,4,5,1,8,7]=>[7,8,1,5,4,6,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [1,3,4,8,5,7,2,6]=>[8,3,7,4,5,1,2,6]=>[6,2,1,5,4,7,3,8]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [5,8,4,7,6,2,3,1]=>[5,8,7,4,2,6,3,1]=>[1,3,6,2,4,7,8,5]=>[[1,2,3,6,7],[4,5,8]]=>22 [1,3,4,7,5,8,2,6]=>[3,7,8,4,5,1,2,6]=>[6,2,1,5,4,8,7,3]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [1,3,5,2,4,8,7,6]=>[5,8,3,7,1,2,4,6]=>[6,4,2,1,7,3,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [2,6,5,1,3,8,7,4]=>[2,1,6,8,5,7,3,4]=>[4,3,7,5,8,6,1,2]=>[[1,3,5],[2,4,6],[7,8]]=>11 [4,7,1,6,5,8,3,2]=>[7,6,1,4,5,8,3,2]=>[2,3,8,5,4,1,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>16 [5,4,8,7,6,3,1,2]=>[8,5,7,4,1,6,3,2]=>[2,3,6,1,4,7,5,8]=>[[1,2,3,6,8],[4,5,7]]=>21 [2,8,5,1,4,7,6,3]=>[2,5,8,4,7,6,1,3]=>[3,1,6,7,4,8,5,2]=>[[1,3,4,6],[2,5,7],[8]]=>14 [4,3,1,5,8,6,7,2]=>[4,1,8,3,5,6,7,2]=>[2,7,6,5,3,8,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [4,1,3,5,8,6,7,2]=>[8,4,1,3,5,6,7,2]=>[2,7,6,5,3,1,4,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>10 [6,5,3,8,4,7,1,2]=>[6,5,3,8,4,1,7,2]=>[2,7,1,4,8,3,5,6]=>[[1,2,5,8],[3,4,7],[6]]=>19 [5,4,2,1,6,8,7,3]=>[2,1,5,8,4,6,7,3]=>[3,7,6,4,8,5,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [6,8,4,3,2,7,1,5]=>[6,4,3,8,2,1,7,5]=>[5,7,1,2,8,3,4,6]=>[[1,2,5,7,8],[3,4,6]]=>19 [3,4,7,8,2,1,6,5]=>[7,3,8,4,2,6,1,5]=>[5,1,6,2,4,8,3,7]=>[[1,3,5,6],[2,4,8],[7]]=>14 [5,1,3,2,8,6,7,4]=>[8,3,1,2,5,6,7,4]=>[4,7,6,5,2,1,3,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [5,3,1,2,8,6,7,4]=>[3,1,8,2,5,6,7,4]=>[4,7,6,5,2,8,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [5,3,2,1,8,6,7,4]=>[3,8,2,1,5,6,7,4]=>[4,7,6,5,1,2,8,3]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [5,2,1,3,6,8,7,4]=>[2,8,1,3,5,6,7,4]=>[4,7,6,5,3,1,8,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [2,4,7,3,8,1,6,5]=>[7,8,2,4,3,6,1,5]=>[5,1,6,3,4,2,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>12 [6,3,8,2,7,4,1,5]=>[6,8,3,2,4,1,7,5]=>[5,7,1,4,2,3,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>17 [8,2,1,3,6,4,7,5]=>[2,1,8,3,4,6,7,5]=>[5,7,6,4,3,8,1,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [3,5,1,7,8,4,2,6]=>[5,7,3,8,1,4,2,6]=>[6,2,4,1,8,3,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>12 [2,7,4,5,8,3,1,6]=>[2,7,8,4,5,3,1,6]=>[6,1,3,5,4,8,7,2]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [1,8,4,3,7,2,6,5]=>[8,7,1,4,3,6,2,5]=>[5,2,6,3,4,1,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>13 [3,4,8,7,2,1,6,5]=>[3,8,7,4,2,6,1,5]=>[5,1,6,2,4,7,8,3]=>[[1,3,5,6,7],[2,4],[8]]=>15 [5,4,7,8,3,6,2,1]=>[5,7,8,4,3,6,2,1]=>[1,2,6,3,4,8,7,5]=>[[1,2,3,5,6],[4,7],[8]]=>20 [6,4,3,8,7,2,1,5]=>[4,8,3,6,2,1,7,5]=>[5,7,1,2,6,3,8,4]=>[[1,2,5,7],[3,4,8],[6]]=>18 [3,5,7,2,4,8,1,6]=>[7,5,3,8,2,4,1,6]=>[6,1,4,2,8,3,5,7]=>[[1,3,5,7,8],[2,6],[4]]=>13 [8,4,7,1,3,2,5,6]=>[4,1,3,2,8,5,7,6]=>[6,7,5,8,2,3,1,4]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [8,4,7,2,1,3,5,6]=>[2,1,4,3,8,5,7,6]=>[6,7,5,8,3,4,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [8,6,4,2,1,3,7,5]=>[2,1,4,3,6,8,7,5]=>[5,7,8,6,3,4,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [8,6,4,1,3,2,7,5]=>[4,1,3,2,6,8,7,5]=>[5,7,8,6,2,3,1,4]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [8,6,4,2,3,1,7,5]=>[2,4,3,1,6,8,7,5]=>[5,7,8,6,1,3,4,2]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [3,5,7,2,6,1,8,4]=>[7,5,3,6,2,8,1,4]=>[4,1,8,2,6,3,5,7]=>[[1,3,5,7,8],[2,4],[6]]=>13 [5,8,3,2,6,7,1,4]=>[5,8,3,2,6,1,7,4]=>[4,7,1,6,2,3,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>17 [4,8,5,3,6,2,7,1]=>[4,5,3,8,6,2,7,1]=>[1,7,2,6,8,3,5,4]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [2,8,1,5,4,7,6,3]=>[5,8,2,4,7,6,1,3]=>[3,1,6,7,4,2,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>13 [1,5,8,7,4,6,2,3]=>[8,7,5,4,1,6,2,3]=>[3,2,6,1,4,5,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>16 [2,1,7,6,4,5,8,3]=>[2,7,6,4,5,8,1,3]=>[3,1,8,5,4,6,7,2]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [1,7,2,4,6,5,8,3]=>[7,1,6,4,5,8,2,3]=>[3,2,8,5,4,6,1,7]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [3,5,1,7,6,8,2,4]=>[5,7,3,6,1,8,2,4]=>[4,2,8,1,6,3,7,5]=>[[1,3,7],[2,5,8],[4,6]]=>12 [5,8,2,6,1,3,7,4]=>[2,1,8,5,3,6,7,4]=>[4,7,6,3,5,8,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [2,5,7,8,4,1,6,3]=>[7,8,5,4,2,6,1,3]=>[3,1,6,2,4,5,8,7]=>[[1,3,5,6,7],[2,4,8]]=>15 [4,2,8,1,5,6,7,3]=>[2,8,4,1,5,6,7,3]=>[3,7,6,5,1,4,8,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [4,1,5,2,6,8,7,3]=>[4,8,1,2,5,6,7,3]=>[3,7,6,5,2,1,8,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [3,4,5,1,6,8,7,2]=>[3,4,8,1,5,6,7,2]=>[2,7,6,5,1,8,4,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [4,2,8,5,1,6,7,3]=>[2,4,1,8,5,6,7,3]=>[3,7,6,5,8,1,4,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [4,1,8,5,2,6,7,3]=>[4,1,2,8,5,6,7,3]=>[3,7,6,5,8,2,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [2,7,1,8,5,4,6,3]=>[7,5,2,4,8,6,1,3]=>[3,1,6,8,4,2,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>14 [5,8,6,2,1,3,7,4]=>[2,1,5,3,8,6,7,4]=>[4,7,6,8,3,5,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [8,2,4,1,5,6,7,3]=>[2,1,4,5,8,6,7,3]=>[3,7,6,8,5,4,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [4,6,3,5,8,1,7,2]=>[6,4,3,5,8,1,7,2]=>[2,7,1,8,5,3,4,6]=>[[1,2,4,8],[3,5,7],[6]]=>15 [1,7,8,3,5,4,6,2]=>[7,3,5,4,8,6,1,2]=>[2,1,6,8,4,5,3,7]=>[[1,3,4,8],[2,5,6],[7]]=>15 [3,4,5,1,8,6,7,2]=>[8,3,4,1,5,6,7,2]=>[2,7,6,5,1,4,3,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [3,8,1,4,5,6,7,2]=>[3,1,4,8,5,6,7,2]=>[2,7,6,5,8,4,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [3,4,5,6,8,2,1,7]=>[8,3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>12 [3,4,6,2,8,5,1,7]=>[6,8,3,4,2,5,1,7]=>[7,1,5,2,4,3,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [3,4,6,8,1,5,2,7]=>[3,8,4,6,1,5,2,7]=>[7,2,5,1,6,4,8,3]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [3,4,7,2,1,8,6,5]=>[3,7,4,8,2,6,1,5]=>[5,1,6,2,8,4,7,3]=>[[1,3,5,7],[2,4,6],[8]]=>12 [3,4,8,2,1,5,6,7]=>[3,4,2,1,8,5,6,7]=>[7,6,5,8,1,2,4,3]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [3,5,2,7,8,4,6,1]=>[5,7,8,3,2,4,6,1]=>[1,6,4,2,3,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>14 [3,5,2,8,4,1,6,7]=>[8,5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5,8]=>[[1,4,6,7,8],[2],[3],[5]]=>11 [3,5,6,2,8,4,1,7]=>[5,6,8,3,2,4,1,7]=>[7,1,4,2,3,8,6,5]=>[[1,3,5,6],[2,7],[4,8]]=>13 [3,5,7,2,4,8,6,1]=>[7,5,3,8,2,4,6,1]=>[1,6,4,2,8,3,5,7]=>[[1,2,5,7,8],[3,6],[4]]=>14 [3,5,7,2,8,4,6,1]=>[7,5,8,3,2,4,6,1]=>[1,6,4,2,3,8,5,7]=>[[1,2,5,6,8],[3,7],[4]]=>15 [3,5,7,8,4,1,6,2]=>[7,8,5,3,1,4,6,2]=>[2,6,4,1,3,5,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>16 [3,6,2,1,8,5,4,7]=>[3,6,2,8,5,1,4,7]=>[7,4,1,5,8,2,6,3]=>[[1,4,5],[2,6,7],[3,8]]=>11 [3,6,7,8,4,5,1,2]=>[6,7,3,8,4,1,5,2]=>[2,5,1,4,8,3,7,6]=>[[1,2,5],[3,4,7],[6,8]]=>18 [3,6,8,2,4,5,1,7]=>[3,2,8,6,4,5,1,7]=>[7,1,5,4,6,8,2,3]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [3,7,2,1,4,8,6,5]=>[3,2,7,8,1,6,4,5]=>[5,4,6,1,8,7,2,3]=>[[1,3,5],[2,6,8],[4,7]]=>11 [3,8,2,1,4,5,6,7]=>[3,2,1,4,5,8,6,7]=>[7,6,8,5,4,1,2,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [4,1,5,6,7,8,3,2]=>[4,5,6,7,8,1,3,2]=>[2,3,1,8,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [4,1,5,7,3,8,6,2]=>[7,4,5,8,1,3,6,2]=>[2,6,3,1,8,5,4,7]=>[[1,2,5,8],[3,6],[4,7]]=>12 [4,1,7,3,2,8,6,5]=>[4,1,7,8,3,6,2,5]=>[5,2,6,3,8,7,1,4]=>[[1,3,5],[2,4,6],[7,8]]=>11 [4,1,7,8,3,5,6,2]=>[1,7,8,4,3,5,6,2]=>[2,6,5,3,4,8,7,1]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [4,1,8,3,2,5,6,7]=>[4,1,3,2,8,5,6,7]=>[7,6,5,8,2,3,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [4,5,2,6,7,8,3,1]=>[4,2,5,6,7,8,3,1]=>[1,3,8,7,6,5,2,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [4,5,6,3,8,1,2,7]=>[4,5,6,1,8,3,2,7]=>[7,2,3,8,1,6,5,4]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [4,5,7,3,8,1,6,2]=>[7,4,5,3,8,1,6,2]=>[2,6,1,8,3,5,4,7]=>[[1,2,4,8],[3,5,6],[7]]=>16 [4,6,7,3,2,8,5,1]=>[6,7,4,3,8,2,5,1]=>[1,5,2,8,3,4,7,6]=>[[1,2,4,6,7],[3,5],[8]]=>17 [4,7,2,3,1,8,6,5]=>[2,4,3,7,8,6,1,5]=>[5,1,6,8,7,3,4,2]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [4,7,8,3,2,5,6,1]=>[7,4,3,2,8,5,6,1]=>[1,6,5,8,2,3,4,7]=>[[1,2,4,7,8],[3,6],[5]]=>18 [5,1,2,7,4,8,6,3]=>[7,5,8,1,2,4,6,3]=>[3,6,4,2,1,8,5,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [5,1,2,7,8,4,6,3]=>[7,8,5,1,2,4,6,3]=>[3,6,4,2,1,5,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [5,1,6,7,8,4,2,3]=>[5,6,7,1,8,2,4,3]=>[3,4,2,8,1,7,6,5]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [5,1,8,3,4,2,6,7]=>[1,8,3,5,4,2,6,7]=>[7,6,2,4,5,3,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>11 [5,6,2,3,8,4,1,7]=>[2,5,6,3,8,4,1,7]=>[7,1,4,8,3,6,5,2]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [5,7,2,3,4,8,6,1]=>[2,3,7,5,8,4,6,1]=>[1,6,4,8,5,7,3,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [5,7,2,3,8,4,6,1]=>[7,2,5,3,8,4,6,1]=>[1,6,4,8,3,5,2,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [5,7,8,3,4,2,6,1]=>[7,3,8,5,4,2,6,1]=>[1,6,2,4,5,8,3,7]=>[[1,2,4,5,6],[3,8],[7]]=>20 [5,8,2,3,4,1,6,7]=>[2,3,5,4,1,8,6,7]=>[7,6,8,1,4,5,3,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>13 [6,1,2,3,7,8,5,4]=>[6,7,8,1,2,3,5,4]=>[4,5,3,2,1,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [6,1,2,3,8,5,4,7]=>[1,6,8,2,3,5,4,7]=>[7,4,5,3,2,8,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [6,1,2,8,4,5,3,7]=>[6,1,2,8,4,5,3,7]=>[7,3,5,4,8,2,1,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [6,1,7,3,4,8,5,2]=>[1,6,3,7,8,4,5,2]=>[2,5,4,8,7,3,6,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [6,7,2,3,8,5,4,1]=>[2,3,6,7,8,5,4,1]=>[1,4,5,8,7,6,3,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>18 [6,8,2,3,4,5,1,7]=>[2,3,4,8,6,5,1,7]=>[7,1,5,6,8,4,3,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>15 [7,1,2,3,4,8,6,5]=>[7,8,1,2,3,4,6,5]=>[5,6,4,3,2,1,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [7,1,2,8,4,5,6,3]=>[1,7,2,8,4,5,6,3]=>[3,6,5,4,8,2,7,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [5,8,1,2,4,3,7,6]=>[5,1,2,4,8,7,3,6]=>[6,3,7,8,4,2,1,5]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [1,3,5,7,2,6,4,8]=>[7,5,3,6,1,2,4,8]=>[8,4,2,1,6,3,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [3,1,6,8,2,4,7,5]=>[1,8,6,3,7,2,4,5]=>[5,4,2,7,3,6,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [2,6,1,3,8,4,7,5]=>[2,6,8,1,3,7,4,5]=>[5,4,7,3,1,8,6,2]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [2,7,5,1,3,8,4,6]=>[2,7,5,1,3,8,4,6]=>[6,4,8,3,1,5,7,2]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [8,2,5,7,4,6,1,3]=>[8,7,2,5,4,1,6,3]=>[3,6,1,4,5,2,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>19 [8,2,5,1,3,7,4,6]=>[2,5,1,8,3,4,7,6]=>[6,7,4,3,8,1,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [8,2,7,5,3,1,6,4]=>[2,3,1,8,7,5,6,4]=>[4,6,5,7,8,1,3,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [8,2,6,5,4,7,1,3]=>[8,6,2,5,4,1,7,3]=>[3,7,1,4,5,2,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>19 [7,6,5,2,4,8,1,3]=>[7,2,6,5,4,1,8,3]=>[3,8,1,4,5,6,2,7]=>[[1,2,5,6,8],[3,4],[7]]=>20 [7,8,2,5,3,1,6,4]=>[2,7,3,1,5,8,6,4]=>[4,6,8,5,1,3,7,2]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [7,1,8,6,3,2,4,5]=>[7,1,3,2,8,4,6,5]=>[5,6,4,8,2,3,1,7]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [1,6,7,5,3,2,4,8]=>[1,6,7,5,3,2,4,8]=>[8,4,2,3,5,7,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [6,5,1,2,4,8,3,7]=>[6,1,2,5,8,4,3,7]=>[7,3,4,8,5,2,1,6]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [1,7,3,6,5,2,4,8]=>[7,6,5,1,3,2,4,8]=>[8,4,2,3,1,5,6,7]=>[[1,4,6,7,8],[2],[3],[5]]=>11 [7,8,4,2,5,6,1,3]=>[2,4,7,5,1,8,6,3]=>[3,6,8,1,5,7,4,2]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [8,2,7,4,5,6,1,3]=>[2,4,8,7,5,1,6,3]=>[3,6,1,5,7,8,4,2]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [2,9,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3]]=>29 [8,10,9,7,6,5,4,3,2,1]=>[10,8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8,10]=>[[1,2,3,4,5,6,7,8,10],[9]]=>43 [7,10,9,8,6,5,4,3,2,1]=>[10,9,7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7,9,10]=>[[1,2,3,4,5,6,7,9,10],[8]]=>42 [4,8,6,5,7,3,2,1]=>[8,4,6,5,7,3,2,1]=>[1,2,3,7,5,6,4,8]=>[[1,2,3,4,6,8],[5],[7]]=>22 [6,10,9,8,7,5,4,3,2,1]=>[10,9,8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8,9,10]=>[[1,2,3,4,5,6,8,9,10],[7]]=>41 [4,8,5,6,7,3,2,1]=>[4,5,8,6,7,3,2,1]=>[1,2,3,7,6,8,5,4]=>[[1,2,3,4,6],[5],[7],[8]]=>21 [5,10,9,8,7,6,4,3,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[[1,2,3,4,5,7,8,9,10],[6]]=>40 [2,8,7,6,4,3,5,1]=>[8,2,7,6,4,3,5,1]=>[1,5,3,4,6,7,2,8]=>[[1,2,4,5,6,8],[3],[7]]=>20 [3,8,7,4,5,6,2,1]=>[3,4,8,7,5,6,2,1]=>[1,2,6,5,7,8,4,3]=>[[1,2,3,5,6],[4],[7],[8]]=>20 [4,10,9,8,7,6,5,3,2,1]=>[10,9,8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8,9,10]=>[[1,2,3,4,6,7,8,9,10],[5]]=>39 [1,8,7,6,5,3,2,4]=>[8,1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>19 [2,8,7,6,3,4,5,1]=>[2,3,8,7,6,4,5,1]=>[1,5,4,6,7,8,3,2]=>[[1,2,4,5,6],[3],[7],[8]]=>19 [3,10,9,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,8,9,10]=>[[1,2,3,5,6,7,8,9,10],[4]]=>38 [1,8,7,6,5,2,3,4]=>[1,2,8,7,6,5,3,4]=>[4,3,5,6,7,8,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>18 [2,10,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8,9,10]=>[[1,2,4,5,6,7,8,9,10],[3]]=>37 [7,2,8,6,5,4,1,3]=>[7,8,6,5,2,1,4,3]=>[3,4,1,2,5,6,8,7]=>[[1,2,5,6,7],[3,4,8]]=>21 [8,4,7,2,5,6,3,1]=>[8,4,2,5,7,6,3,1]=>[1,3,6,7,5,2,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>21 [3,6,1,8,5,2,7,4]=>[6,3,1,8,5,7,2,4]=>[4,2,7,5,8,1,3,6]=>[[1,3,5],[2,4,8],[6,7]]=>13 [7,2,5,8,3,6,1,4]=>[7,2,5,8,3,1,6,4]=>[4,6,1,3,8,5,2,7]=>[[1,2,5,8],[3,4,6],[7]]=>17 [1,7,5,6,3,4,2,8]=>[5,3,7,6,4,1,2,8]=>[8,2,1,4,6,7,3,5]=>[[1,4,5,6],[2,7,8],[3]]=>13 [7,2,6,8,5,3,1,4]=>[7,6,2,8,3,1,5,4]=>[4,5,1,3,8,2,6,7]=>[[1,2,5,8],[3,4,7],[6]]=>19 [7,6,3,8,5,2,1,4]=>[7,3,6,2,1,8,5,4]=>[4,5,8,1,2,6,3,7]=>[[1,2,3,8],[4,5,6],[7]]=>21 [7,2,6,4,8,3,1,5]=>[4,7,6,2,3,1,8,5]=>[5,8,1,3,2,6,7,4]=>[[1,2,6,7],[3,4],[5,8]]=>17 [4,2,3,1,7,8,5,6]=>[2,4,7,8,3,1,5,6]=>[6,5,1,3,8,7,4,2]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [5,2,8,4,1,7,6,3]=>[5,2,8,7,1,4,6,3]=>[3,6,4,1,7,8,2,5]=>[[1,2,5,6],[3,7,8],[4]]=>15 [8,6,3,4,7,2,5,1]=>[3,4,6,2,8,7,5,1]=>[1,5,7,8,2,6,4,3]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [8,3,2,1,5,4,7,6]=>[3,2,5,8,1,4,7,6]=>[6,7,4,1,8,5,2,3]=>[[1,2,5],[3,6,8],[4,7]]=>12 [1,3,5,4,6,8,2,7]=>[5,8,3,4,6,1,2,7]=>[7,2,1,6,4,3,8,5]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [6,1,3,4,5,8,2,7]=>[1,3,6,8,4,5,2,7]=>[7,2,5,4,8,6,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [8,3,4,1,5,2,7,6]=>[3,1,4,5,8,2,7,6]=>[6,7,2,8,5,4,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [7,5,4,2,6,8,3,1]=>[2,5,4,7,6,8,3,1]=>[1,3,8,6,7,4,5,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [8,2,6,4,1,7,3,5]=>[2,1,8,4,6,3,7,5]=>[5,7,3,6,4,8,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [7,3,8,4,5,2,1,6]=>[3,7,4,5,2,1,8,6]=>[6,8,1,2,5,4,7,3]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [7,2,5,1,8,4,3,6]=>[2,5,7,4,1,3,8,6]=>[6,8,3,1,4,7,5,2]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [1,7,3,2,5,4,8,6]=>[3,7,1,2,5,8,4,6]=>[6,4,8,5,2,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [8,7,2,1,5,3,4,6]=>[5,2,1,3,4,8,7,6]=>[6,7,8,4,3,1,2,5]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [3,6,1,5,8,7,4,2]=>[6,8,3,5,7,1,4,2]=>[2,4,1,7,5,3,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>14 [8,3,6,4,5,1,7,2]=>[3,6,4,1,5,8,7,2]=>[2,7,8,5,1,4,6,3]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [5,4,6,8,1,2,7,3]=>[5,4,1,6,8,2,7,3]=>[3,7,2,8,6,1,4,5]=>[[1,2,4],[3,5,8],[6,7]]=>15 [6,4,7,2,3,5,8,1]=>[4,2,6,3,7,5,8,1]=>[1,8,5,7,3,6,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [3,4,7,8,6,2,5,1]=>[7,8,6,3,4,2,5,1]=>[1,5,2,4,3,6,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>17 [4,1,3,5,7,8,6,2]=>[4,7,8,1,3,5,6,2]=>[2,6,5,3,1,8,7,4]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [5,3,1,8,4,7,6,2]=>[5,8,1,3,7,4,6,2]=>[2,6,4,7,3,1,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [8,2,7,4,6,1,3,5]=>[8,7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7,8]=>[[1,2,7,8],[3,4],[5,6]]=>18 [6,3,1,4,7,2,8,5]=>[1,3,4,6,2,7,8,5]=>[5,8,7,2,6,4,3,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>11 [2,8,6,1,5,7,3,4]=>[6,2,5,1,8,7,3,4]=>[4,3,7,8,1,5,2,6]=>[[1,3,4],[2,6,8],[5,7]]=>15 [7,8,2,5,4,3,1,6]=>[7,5,2,4,3,1,8,6]=>[6,8,1,3,4,2,5,7]=>[[1,2,5,7,8],[3,4],[6]]=>19 [1,8,3,4,2,7,6,5]=>[8,1,3,7,4,6,2,5]=>[5,2,6,4,7,3,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [8,5,3,7,4,2,6,1]=>[5,3,8,4,2,7,6,1]=>[1,6,7,2,4,8,3,5]=>[[1,2,3,6],[4,5,8],[7]]=>21 [5,7,3,2,4,1,8,6]=>[3,2,7,5,4,8,1,6]=>[6,1,8,4,5,7,2,3]=>[[1,3,5,6],[2,4],[7,8]]=>14 [2,8,3,4,7,1,5,6]=>[2,8,3,4,1,7,5,6]=>[6,5,7,1,4,3,8,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [1,7,6,3,2,5,8,4]=>[1,7,3,6,5,8,2,4]=>[4,2,8,5,6,3,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [3,8,1,5,6,2,7,4]=>[3,5,1,6,8,7,2,4]=>[4,2,7,8,6,1,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [8,2,5,6,1,7,4,3]=>[5,2,6,8,7,1,4,3]=>[3,4,1,7,8,6,2,5]=>[[1,2,4,5],[3,6,8],[7]]=>17 [6,5,4,8,7,2,1,3]=>[6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[[1,2,5,6,8],[3,4,7]]=>20 [1,8,6,4,5,2,7,3]=>[4,1,6,5,8,7,2,3]=>[3,2,7,8,5,6,1,4]=>[[1,3,4],[2,5,6],[7,8]]=>15 [3,6,2,1,7,5,8,4]=>[3,2,6,7,5,8,1,4]=>[4,1,8,5,7,6,2,3]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [2,5,4,1,8,7,6,3]=>[5,8,4,7,2,6,1,3]=>[3,1,6,2,7,4,8,5]=>[[1,3,5,7],[2,4,6,8]]=>12 [4,7,2,6,5,8,1,3]=>[7,4,6,2,5,1,8,3]=>[3,8,1,5,2,6,4,7]=>[[1,2,6,8],[3,4,7],[5]]=>16 [6,8,1,4,2,7,3,5]=>[6,4,1,2,8,3,7,5]=>[5,7,3,8,2,1,4,6]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [6,3,4,7,1,8,2,5]=>[3,4,1,6,7,2,8,5]=>[5,8,2,7,6,1,4,3]=>[[1,2],[3,4],[5,7],[6],[8]]=>14 [3,4,7,8,2,5,6,1]=>[7,3,8,4,2,5,6,1]=>[1,6,5,2,4,8,3,7]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [3,2,5,7,6,1,8,4]=>[7,3,5,6,2,8,1,4]=>[4,1,8,2,6,5,3,7]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [4,3,5,6,1,8,7,2]=>[4,3,5,8,1,6,7,2]=>[2,7,6,1,8,5,3,4]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [5,3,4,1,7,6,8,2]=>[3,1,5,7,4,6,8,2]=>[2,8,6,4,7,5,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [3,1,4,6,5,7,8,2]=>[6,1,3,4,5,7,8,2]=>[2,8,7,5,4,3,1,6]=>[[1,2,8],[3],[4],[5],[6],[7]]=>8 [1,4,7,3,5,6,8,2]=>[4,3,7,5,6,8,1,2]=>[2,1,8,6,5,7,3,4]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [1,3,2,7,5,8,6,4]=>[3,7,8,5,6,1,2,4]=>[4,2,1,6,5,8,7,3]=>[[1,4,6],[2,5,7],[3,8]]=>8 [4,1,2,6,8,5,3,7]=>[8,6,1,2,4,5,3,7]=>[7,3,5,4,2,1,6,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>9 [1,5,2,4,8,7,6,3]=>[8,5,7,1,4,6,2,3]=>[3,2,6,4,1,7,5,8]=>[[1,3,6,8],[2,4,7],[5]]=>10 [1,2,6,4,8,7,5,3]=>[8,4,6,7,5,1,2,3]=>[3,2,1,5,7,6,4,8]=>[[1,4,5,8],[2,6],[3,7]]=>10 [1,3,2,7,5,8,4,6]=>[3,7,8,5,1,2,4,6]=>[6,4,2,1,5,8,7,3]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [2,3,1,7,5,4,8,6]=>[2,7,3,5,8,1,4,6]=>[6,4,1,8,5,3,7,2]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [1,3,2,8,5,7,4,6]=>[8,3,7,5,1,2,4,6]=>[6,4,2,1,5,7,3,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [1,4,2,5,8,7,3,6]=>[8,7,1,4,5,2,3,6]=>[6,3,2,5,4,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [1,2,6,4,8,7,3,5]=>[8,6,7,1,4,2,3,5]=>[5,3,2,4,1,7,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [1,2,7,8,5,6,3,4]=>[7,5,1,8,6,2,3,4]=>[4,3,2,6,8,1,5,7]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [1,2,6,8,5,7,3,4]=>[8,6,5,1,7,2,3,4]=>[4,3,2,7,1,5,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [1,3,8,2,6,7,4,5]=>[6,8,7,1,3,2,4,5]=>[5,4,2,3,1,7,8,6]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [1,2,6,8,3,7,5,4]=>[8,1,6,7,5,2,3,4]=>[4,3,2,5,7,6,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [1,4,7,2,8,3,6,5]=>[4,1,7,8,6,2,3,5]=>[5,3,2,6,8,7,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [1,3,6,2,4,8,7,5]=>[6,8,1,3,7,2,4,5]=>[5,4,2,7,3,1,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [1,6,7,3,4,8,5,2]=>[3,6,4,7,8,5,1,2]=>[2,1,5,8,7,4,6,3]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [2,8,4,1,5,3,7,6]=>[2,1,4,8,5,7,3,6]=>[6,3,7,5,8,4,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [3,8,4,1,5,7,2,6]=>[3,8,1,4,7,5,2,6]=>[6,2,5,7,4,1,8,3]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [1,3,7,4,2,8,6,5]=>[3,4,7,8,6,1,2,5]=>[5,2,1,6,8,7,4,3]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [1,3,8,4,2,7,6,5]=>[8,3,4,7,6,1,2,5]=>[5,2,1,6,7,4,3,8]=>[[1,4,5,8],[2,6],[3,7]]=>10 [1,2,8,4,7,3,6,5]=>[1,8,7,4,6,2,3,5]=>[5,3,2,6,4,7,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [1,2,7,4,8,3,6,5]=>[7,1,8,4,6,2,3,5]=>[5,3,2,6,4,8,1,7]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [1,2,6,4,8,3,7,5]=>[8,6,1,4,7,2,3,5]=>[5,3,2,7,4,1,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [1,8,4,5,7,2,3,6]=>[8,7,1,4,2,5,3,6]=>[6,3,5,2,4,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [2,8,3,5,1,4,7,6]=>[2,8,3,1,5,7,4,6]=>[6,4,7,5,1,3,8,2]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [1,3,8,6,2,7,4,5]=>[1,8,6,7,3,2,4,5]=>[5,4,2,3,7,6,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [1,5,6,8,7,2,3,4]=>[8,5,1,6,2,7,3,4]=>[4,3,7,2,6,1,5,8]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [1,2,6,8,5,3,7,4]=>[1,8,6,5,7,2,3,4]=>[4,3,2,7,5,6,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [1,2,7,8,5,3,6,4]=>[1,7,5,8,6,2,3,4]=>[4,3,2,6,8,5,7,1]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [1,2,7,8,6,3,5,4]=>[1,7,8,6,5,2,3,4]=>[4,3,2,5,6,8,7,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [1,4,7,6,8,2,3,5]=>[7,6,1,8,4,2,3,5]=>[5,3,2,4,8,1,6,7]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [1,2,8,4,7,6,3,5]=>[8,7,6,1,4,2,3,5]=>[5,3,2,4,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>11 [1,2,5,8,7,6,3,4]=>[8,7,5,1,6,2,3,4]=>[4,3,2,6,1,5,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [1,2,7,8,6,5,3,4]=>[7,1,8,6,5,2,3,4]=>[4,3,2,5,6,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [5,2,6,7,3,4,8,1]=>[5,6,2,3,7,4,8,1]=>[1,8,4,7,3,2,6,5]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [5,2,4,7,6,3,8,1]=>[5,7,2,4,6,3,8,1]=>[1,8,3,6,4,2,7,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [5,6,2,1,7,8,3,4]=>[2,1,5,6,7,3,8,4]=>[4,8,3,7,6,5,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>13 [5,6,2,1,4,8,7,3]=>[2,1,5,6,8,4,7,3]=>[3,7,4,8,6,5,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [2,6,1,4,5,8,7,3]=>[2,4,6,8,5,7,1,3]=>[3,1,7,5,8,6,4,2]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [5,4,2,7,6,3,8,1]=>[2,5,7,4,6,3,8,1]=>[1,8,3,6,4,7,5,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [2,3,7,6,4,5,8,1]=>[2,7,6,3,4,5,8,1]=>[1,8,5,4,3,6,7,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>12 [2,6,1,7,5,8,3,4]=>[6,7,2,5,1,8,3,4]=>[4,3,8,1,5,2,7,6]=>[[1,3,7],[2,5,8],[4,6]]=>12 [2,6,1,7,4,8,3,5]=>[6,2,7,8,1,4,3,5]=>[5,3,4,1,8,7,2,6]=>[[1,3,5],[2,6,8],[4,7]]=>11 [3,6,4,1,7,8,2,5]=>[3,6,4,7,1,8,2,5]=>[5,2,8,1,7,4,6,3]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [3,6,4,1,5,8,7,2]=>[3,1,6,8,4,5,7,2]=>[2,7,5,4,8,6,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [2,6,1,5,4,8,7,3]=>[6,2,5,8,4,7,1,3]=>[3,1,7,4,8,5,2,6]=>[[1,3,5,8],[2,4,6],[7]]=>11 [5,1,2,4,8,7,6,3]=>[8,5,7,1,2,4,6,3]=>[3,6,4,2,1,7,5,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [4,3,1,2,8,5,7,6]=>[4,3,8,1,7,2,5,6]=>[6,5,2,7,1,8,3,4]=>[[1,4,6],[2,7,8],[3],[5]]=>9 [1,2,3,8,5,6,4,7]=>[1,8,5,6,2,3,4,7]=>[7,4,3,2,6,5,8,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [1,2,3,8,6,4,5,7]=>[1,8,2,6,3,4,5,7]=>[7,5,4,3,6,2,8,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>6 [1,2,3,8,5,4,6,7]=>[8,1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>5 [2,6,1,5,4,8,3,7]=>[6,2,5,8,4,1,3,7]=>[7,3,1,4,8,5,2,6]=>[[1,4,5,8],[2,6],[3,7]]=>10 [5,6,3,1,4,8,2,7]=>[1,5,3,6,8,4,2,7]=>[7,2,4,8,6,3,5,1]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [3,6,4,5,1,8,7,2]=>[3,6,4,8,1,5,7,2]=>[2,7,5,1,8,4,6,3]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [3,6,5,4,1,8,7,2]=>[6,5,3,8,1,4,7,2]=>[2,7,4,1,8,3,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>14 [5,2,6,1,7,8,4,3]=>[5,2,6,7,8,1,4,3]=>[3,4,1,8,7,6,2,5]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [5,1,6,2,8,7,3,4]=>[8,1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1,8]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [2,1,3,7,8,5,6,4]=>[7,2,8,5,6,1,3,4]=>[4,3,1,6,5,8,2,7]=>[[1,4,6],[2,5,8],[3,7]]=>9 [5,2,4,1,7,8,6,3]=>[5,2,7,8,1,4,6,3]=>[3,6,4,1,8,7,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>12 [5,1,4,2,8,6,7,3]=>[5,1,8,2,4,6,7,3]=>[3,7,6,4,2,8,1,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [1,2,3,8,6,7,4,5]=>[6,1,8,7,2,3,4,5]=>[5,4,3,2,7,8,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [1,2,3,8,7,4,5,6]=>[1,2,8,7,3,4,5,6]=>[6,5,4,3,7,8,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>7 [1,2,3,8,5,7,4,6]=>[8,7,1,5,2,3,4,6]=>[6,4,3,2,5,1,7,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>7 [2,1,3,6,8,7,4,5]=>[8,6,7,2,1,3,4,5]=>[5,4,3,1,2,7,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [5,4,1,2,8,7,6,3]=>[8,1,2,5,7,4,6,3]=>[3,6,4,7,5,2,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [1,2,8,4,5,3,6,7]=>[1,8,2,4,5,3,6,7]=>[7,6,3,5,4,2,8,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>7 [1,8,3,4,2,5,6,7]=>[3,4,1,2,5,8,6,7]=>[7,6,8,5,2,1,4,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>8 [1,8,4,3,2,5,6,7]=>[4,3,1,2,5,8,6,7]=>[7,6,8,5,2,1,3,4]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [8,4,7,6,5,3,2,1]=>[8,7,4,6,5,3,2,1]=>[1,2,3,5,6,4,7,8]=>[[1,2,3,4,5,7,8],[6]]=>25 [8,4,7,5,6,3,2,1]=>[4,8,5,7,6,3,2,1]=>[1,2,3,6,7,5,8,4]=>[[1,2,3,4,5,7],[6],[8]]=>24 [8,5,7,4,6,3,2,1]=>[8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>25 [8,7,6,3,5,4,2,1]=>[8,3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3,8]=>[[1,2,3,4,5,6,8],[7]]=>26 [8,6,7,3,5,4,2,1]=>[3,6,8,7,5,4,2,1]=>[1,2,4,5,7,8,6,3]=>[[1,2,3,4,5,6],[7],[8]]=>25 [8,1,7,4,6,5,3,2]=>[8,4,7,6,5,1,3,2]=>[2,3,1,5,6,7,4,8]=>[[1,2,4,5,6,8],[3,7]]=>20 [8,2,7,3,6,5,4,1]=>[8,7,2,6,3,5,4,1]=>[1,4,5,3,6,2,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>20 [8,3,7,2,6,5,4,1]=>[8,3,7,6,2,5,4,1]=>[1,4,5,2,6,7,3,8]=>[[1,2,3,5,6,8],[4,7]]=>21 [8,5,7,2,6,4,3,1]=>[8,2,5,7,6,4,3,1]=>[1,3,4,6,7,5,2,8]=>[[1,2,3,4,5,8],[6],[7]]=>23 [8,6,7,2,5,4,3,1]=>[2,8,6,7,5,4,3,1]=>[1,3,4,5,7,6,8,2]=>[[1,2,3,4,5,7],[6],[8]]=>24 [8,7,6,2,5,4,3,1]=>[8,7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7,8]=>[[1,2,3,4,5,7,8],[6]]=>25 [8,4,7,1,6,5,3,2]=>[8,7,1,4,6,5,3,2]=>[2,3,5,6,4,1,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>21 [8,3,7,1,6,5,4,2]=>[8,7,3,6,1,5,4,2]=>[2,4,5,1,6,3,7,8]=>[[1,2,3,5,7,8],[4,6]]=>20 [8,2,7,1,6,5,4,3]=>[8,7,2,6,5,1,4,3]=>[3,4,1,5,6,2,7,8]=>[[1,2,4,5,7,8],[3,6]]=>19 [8,1,7,2,6,5,4,3]=>[8,7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>18 [8,7,6,2,5,3,4,1]=>[2,8,3,7,6,5,4,1]=>[1,4,5,6,7,3,8,2]=>[[1,2,3,4,5,7],[6],[8]]=>24 [8,1,7,6,5,3,4,2]=>[1,8,7,6,5,3,4,2]=>[2,4,3,5,6,7,8,1]=>[[1,2,4,5,6,7],[3],[8]]=>21 [8,3,7,6,5,2,4,1]=>[8,7,6,3,2,5,4,1]=>[1,4,5,2,3,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>23 [8,4,7,6,5,2,3,1]=>[8,7,4,2,6,5,3,1]=>[1,3,5,6,2,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>24 [8,5,7,6,4,2,3,1]=>[8,5,2,7,6,4,3,1]=>[1,3,4,6,7,2,5,8]=>[[1,2,3,4,5,8],[6,7]]=>25 [8,6,7,5,4,1,3,2]=>[1,6,8,7,5,4,3,2]=>[2,3,4,5,7,8,6,1]=>[[1,2,3,4,5,6],[7],[8]]=>25 [8,3,7,6,5,1,4,2]=>[3,8,7,6,1,5,4,2]=>[2,4,5,1,6,7,8,3]=>[[1,2,3,5,6,7],[4,8]]=>22 [8,7,6,4,5,1,3,2]=>[1,4,8,7,6,5,3,2]=>[2,3,5,6,7,8,4,1]=>[[1,2,3,4,5,6],[7],[8]]=>25 [8,7,6,2,5,1,4,3]=>[2,8,7,1,6,5,4,3]=>[3,4,5,6,1,7,8,2]=>[[1,2,3,4,6,7],[5,8]]=>23 [8,7,6,1,5,2,4,3]=>[8,1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1,8]=>[[1,2,3,4,6,8],[5],[7]]=>22 [6,8,1,3,2,5,4,7]=>[3,8,1,2,6,5,4,7]=>[7,4,5,6,2,1,8,3]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [7,8,3,6,1,4,2,5]=>[3,7,1,4,2,8,6,5]=>[5,6,8,2,4,1,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>19 [7,8,2,5,3,6,1,4]=>[2,7,3,5,1,8,6,4]=>[4,6,8,1,5,3,7,2]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [7,8,2,5,1,4,3,6]=>[2,7,5,1,4,3,8,6]=>[6,8,3,4,1,5,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>17 [5,8,1,4,3,7,2,6]=>[8,1,5,4,7,3,2,6]=>[6,2,3,7,4,5,1,8]=>[[1,3,4,6,8],[2,5],[7]]=>15 [6,8,2,5,1,4,3,7]=>[2,8,6,1,5,4,3,7]=>[7,3,4,5,1,6,8,2]=>[[1,3,4,6,7],[2,8],[5]]=>16 [2,5,4,7,6,8,1,3]=>[5,7,4,6,8,2,1,3]=>[3,1,2,8,6,4,7,5]=>[[1,3,4,7],[2,5,8],[6]]=>13 [2,6,1,4,3,7,5,8]=>[2,6,1,4,7,3,5,8]=>[8,5,3,7,4,1,6,2]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [2,6,1,5,3,7,4,8]=>[6,2,1,5,7,3,4,8]=>[8,4,3,7,5,1,2,6]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [2,6,3,7,4,8,1,5]=>[6,2,3,7,8,4,1,5]=>[5,1,4,8,7,3,2,6]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [4,8,2,6,3,7,1,5]=>[4,2,6,8,7,3,1,5]=>[5,1,3,7,8,6,2,4]=>[[1,3,4,5],[2,6],[7,8]]=>16 [4,8,1,5,2,6,3,7]=>[4,1,2,5,8,6,3,7]=>[7,3,6,8,5,2,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [6,8,3,7,1,4,2,5]=>[1,6,3,8,4,2,7,5]=>[5,7,2,4,8,3,6,1]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [5,8,4,7,1,3,2,6]=>[1,5,8,7,4,3,2,6]=>[6,2,3,4,7,8,5,1]=>[[1,3,4,5,6],[2,7],[8]]=>18 [6,8,4,7,1,3,2,5]=>[1,6,8,4,3,2,7,5]=>[5,7,2,3,4,8,6,1]=>[[1,2,5,6],[3,4,7],[8]]=>19 [6,8,5,7,1,3,2,4]=>[8,1,6,5,3,2,7,4]=>[4,7,2,3,5,6,1,8]=>[[1,2,5,6,8],[3,4],[7]]=>20 [5,7,6,8,2,4,1,3]=>[7,5,2,6,1,8,4,3]=>[3,4,8,1,6,2,5,7]=>[[1,2,3,8],[4,5,7],[6]]=>20 [4,7,6,8,1,3,2,5]=>[1,7,6,8,4,3,2,5]=>[5,2,3,4,8,6,7,1]=>[[1,3,4,5,7],[2,6],[8]]=>17 [4,7,1,3,2,6,5,8]=>[4,1,3,7,6,2,5,8]=>[8,5,2,6,7,3,1,4]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [3,7,5,8,1,4,2,6]=>[7,3,8,1,5,4,2,6]=>[6,2,4,5,1,8,3,7]=>[[1,3,4,6],[2,7,8],[5]]=>15 [3,7,6,8,2,5,1,4]=>[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[[1,3,4,5,8],[2,6,7]]=>18 [4,7,6,8,2,5,1,3]=>[7,6,4,8,2,1,5,3]=>[3,5,1,2,8,4,6,7]=>[[1,2,5,7,8],[3,4,6]]=>19 [4,7,5,8,3,6,1,2]=>[4,7,8,5,3,1,6,2]=>[2,6,1,3,5,8,7,4]=>[[1,2,5,6],[3,4,7],[8]]=>19 [3,7,4,8,2,6,1,5]=>[7,3,4,8,6,2,1,5]=>[5,1,2,6,8,4,3,7]=>[[1,3,4,5],[2,6,8],[7]]=>16 [3,7,4,8,1,5,2,6]=>[7,3,1,4,8,5,2,6]=>[6,2,5,8,4,1,3,7]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [3,7,1,5,2,6,4,8]=>[3,1,5,7,6,2,4,8]=>[8,4,2,6,7,5,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [3,7,2,6,1,5,4,8]=>[7,3,2,6,5,1,4,8]=>[8,4,1,5,6,2,3,7]=>[[1,4,5,8],[2,6,7],[3]]=>12 [2,6,3,7,1,5,4,8]=>[6,2,3,7,5,1,4,8]=>[8,4,1,5,7,3,2,6]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [7,6,4,8,5,2,3,1]=>[4,7,6,2,8,5,3,1]=>[1,3,5,8,2,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>23 [6,8,4,3,7,2,1,5]=>[6,4,8,3,2,1,7,5]=>[5,7,1,2,3,8,4,6]=>[[1,2,5,6,8],[3,4,7]]=>20 [6,8,3,7,5,2,4,1]=>[8,3,6,2,7,5,4,1]=>[1,4,5,7,2,6,3,8]=>[[1,2,3,4,8],[5,6],[7]]=>22 [7,6,3,5,8,2,4,1]=>[7,3,6,5,2,8,4,1]=>[1,4,8,2,5,6,3,7]=>[[1,2,3,6,8],[4,5],[7]]=>21 [7,6,3,5,2,4,8,1]=>[7,3,2,6,5,4,8,1]=>[1,8,4,5,6,2,3,7]=>[[1,2,4,5,8],[3,7],[6]]=>19 [7,6,2,8,4,1,5,3]=>[7,6,2,1,4,8,5,3]=>[3,5,8,4,1,2,6,7]=>[[1,2,3,8],[4,6,7],[5]]=>19 [7,6,3,8,2,4,1,5]=>[7,3,2,6,4,1,8,5]=>[5,8,1,4,6,2,3,7]=>[[1,2,5,8],[3,4],[6,7]]=>19 [7,6,3,4,8,2,5,1]=>[3,4,7,6,2,8,5,1]=>[1,5,8,2,6,7,4,3]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [5,7,8,3,6,2,1,4]=>[7,5,8,3,2,1,6,4]=>[4,6,1,2,3,8,5,7]=>[[1,2,5,6,8],[3,4,7]]=>20 [6,3,8,4,7,2,1,5]=>[6,8,3,4,2,1,7,5]=>[5,7,1,2,4,3,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>18 [6,3,5,7,8,4,2,1]=>[6,3,5,7,8,4,2,1]=>[1,2,4,8,7,5,3,6]=>[[1,2,3,4,8],[5],[6],[7]]=>19 [5,7,3,6,8,2,1,4]=>[5,7,3,6,2,1,8,4]=>[4,8,1,2,6,3,7,5]=>[[1,2,5,7],[3,4,8],[6]]=>18 [5,6,8,3,7,2,1,4]=>[5,6,8,3,2,1,7,4]=>[4,7,1,2,3,8,6,5]=>[[1,2,5,6],[3,4,7],[8]]=>19 [5,6,7,3,4,1,8,2]=>[5,6,3,1,7,4,8,2]=>[2,8,4,7,1,3,6,5]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [4,6,7,8,3,5,2,1]=>[6,7,8,4,3,5,2,1]=>[1,2,5,3,4,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>20 [4,6,8,3,5,7,2,1]=>[8,6,4,3,5,7,2,1]=>[1,2,7,5,3,4,6,8]=>[[1,2,3,6,7,8],[4],[5]]=>19 [4,7,3,5,6,8,2,1]=>[4,3,7,5,6,8,2,1]=>[1,2,8,6,5,7,3,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [4,7,3,5,8,2,6,1]=>[4,3,7,8,5,2,6,1]=>[1,6,2,5,8,7,3,4]=>[[1,2,4,5],[3,6],[7,8]]=>17 [5,3,4,7,8,2,1,6]=>[3,5,7,8,4,2,1,6]=>[6,1,2,4,8,7,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [5,3,4,8,2,6,1,7]=>[5,3,8,4,2,6,1,7]=>[7,1,6,2,4,8,3,5]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [4,8,3,6,2,5,7,1]=>[4,8,3,2,6,5,7,1]=>[1,7,5,6,2,3,8,4]=>[[1,2,4,7],[3,6,8],[5]]=>17 [4,8,3,5,7,2,6,1]=>[4,8,3,7,5,2,6,1]=>[1,6,2,5,7,3,8,4]=>[[1,2,4,5,7],[3,8],[6]]=>18 [4,7,8,3,5,6,2,1]=>[7,4,3,8,5,6,2,1]=>[1,2,6,5,8,3,4,7]=>[[1,2,3,5,8],[4,7],[6]]=>20 [4,7,8,3,6,2,5,1]=>[7,4,8,6,3,2,5,1]=>[1,5,2,3,6,8,4,7]=>[[1,2,4,5,6],[3,7,8]]=>20 [4,8,3,7,2,5,6,1]=>[8,4,3,2,7,5,6,1]=>[1,6,5,7,2,3,4,8]=>[[1,2,4,7,8],[3,6],[5]]=>18 [5,3,4,8,2,7,6,1]=>[5,3,8,4,7,2,6,1]=>[1,6,2,7,4,8,3,5]=>[[1,2,4,6],[3,5,8],[7]]=>16 [5,3,8,2,4,1,7,6]=>[3,2,8,5,4,7,1,6]=>[6,1,7,4,5,8,2,3]=>[[1,3,5,6],[2,4],[7,8]]=>14 [5,2,8,4,1,7,3,6]=>[5,2,8,4,1,7,3,6]=>[6,3,7,1,4,8,2,5]=>[[1,3,6],[2,5,8],[4,7]]=>14 [6,4,2,5,1,8,7,3]=>[2,4,1,6,8,5,7,3]=>[3,7,5,8,6,1,4,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [6,4,3,5,8,2,1,7]=>[4,3,6,8,5,2,1,7]=>[7,1,2,5,8,6,3,4]=>[[1,3,4,5],[2,6],[7,8]]=>16 [6,3,5,8,7,2,4,1]=>[6,8,3,5,2,7,4,1]=>[1,4,7,2,5,3,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>19 [5,8,3,7,2,6,4,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[[1,2,3,5,8],[4,6,7]]=>20 [5,8,4,2,3,1,6,7]=>[2,5,4,3,1,8,6,7]=>[7,6,8,1,3,4,5,2]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [6,4,5,3,8,2,1,7]=>[4,6,5,8,3,2,1,7]=>[7,1,2,3,8,5,6,4]=>[[1,3,4,5,7],[2,6],[8]]=>17 [6,4,8,5,3,7,2,1]=>[6,4,8,5,3,7,2,1]=>[1,2,7,3,5,8,4,6]=>[[1,2,3,5,6],[4,8],[7]]=>21 [6,4,3,8,5,7,2,1]=>[4,6,3,8,5,7,2,1]=>[1,2,7,5,8,3,6,4]=>[[1,2,3,5],[4,7],[6,8]]=>19 [6,4,2,8,5,3,1,7]=>[4,2,6,8,5,3,1,7]=>[7,1,3,5,8,6,2,4]=>[[1,3,4,5],[2,6],[7,8]]=>16 [6,4,2,7,3,1,8,5]=>[2,4,6,3,1,7,8,5]=>[5,8,7,1,3,6,4,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [6,4,5,3,7,1,8,2]=>[4,6,5,3,1,7,8,2]=>[2,8,7,1,3,5,6,4]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [5,7,4,2,3,1,6,8]=>[2,7,5,4,3,1,6,8]=>[8,6,1,3,4,5,7,2]=>[[1,4,5,6,7],[2],[3],[8]]=>14 [5,6,3,7,1,8,2,4]=>[5,3,1,6,7,2,8,4]=>[4,8,2,7,6,1,3,5]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [5,6,3,4,7,1,8,2]=>[5,3,6,4,1,7,8,2]=>[2,8,7,1,4,6,3,5]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [6,3,5,7,4,8,2,1]=>[6,3,5,7,4,8,2,1]=>[1,2,8,4,7,5,3,6]=>[[1,2,3,5,8],[4],[6],[7]]=>18 [6,3,5,4,7,8,2,1]=>[6,3,5,4,7,8,2,1]=>[1,2,8,7,4,5,3,6]=>[[1,2,3,6,8],[4],[5],[7]]=>17 [6,4,3,5,7,1,8,2]=>[4,3,6,5,1,7,8,2]=>[2,8,7,1,5,6,3,4]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [6,4,2,5,1,7,3,8]=>[2,4,1,6,5,7,3,8]=>[8,3,7,5,6,1,4,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [4,7,3,6,2,5,8,1]=>[4,7,6,3,2,5,8,1]=>[1,8,5,2,3,6,7,4]=>[[1,2,5,6,7],[3,8],[4]]=>16 [4,5,8,3,6,7,2,1]=>[4,8,5,3,6,7,2,1]=>[1,2,7,6,3,5,8,4]=>[[1,2,3,6,7],[4],[5],[8]]=>18 [4,5,8,3,7,2,6,1]=>[4,8,5,7,3,2,6,1]=>[1,6,2,3,7,5,8,4]=>[[1,2,4,5,7],[3,6],[8]]=>18 [5,3,6,8,2,1,4,7]=>[8,3,5,2,1,6,4,7]=>[7,4,6,1,2,5,3,8]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [5,3,6,7,1,8,2,4]=>[3,5,1,6,7,2,8,4]=>[4,8,2,7,6,1,5,3]=>[[1,2],[3,4],[5,7],[6],[8]]=>14 [5,3,4,6,7,1,8,2]=>[3,5,4,6,1,7,8,2]=>[2,8,7,1,6,4,5,3]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [5,7,4,8,6,3,2,1]=>[7,5,8,4,6,3,2,1]=>[1,2,3,6,4,8,5,7]=>[[1,2,3,4,6,8],[5,7]]=>22 [3,2,6,5,1,8,7,4]=>[6,3,5,8,2,7,1,4]=>[4,1,7,2,8,5,3,6]=>[[1,3,5,8],[2,4,6],[7]]=>11 [3,5,6,7,2,8,4,1]=>[5,6,7,3,8,2,4,1]=>[1,4,2,8,3,7,6,5]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [7,6,9,8,5,4,3,2,1]=>[7,9,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,9,7]=>[[1,2,3,4,5,6,8],[7,9]]=>32 [6,5,4,9,8,7,3,2,1]=>[6,9,5,8,4,7,3,2,1]=>[1,2,3,7,4,8,5,9,6]=>[[1,2,3,4,6,8],[5,7,9]]=>27 [6,7,8,9,5,4,3,2,1]=>[6,7,8,9,5,4,3,2,1]=>[1,2,3,4,5,9,8,7,6]=>[[1,2,3,4,5,6],[7],[8],[9]]=>30 [5,4,3,2,9,8,7,6,1]=>[5,9,4,8,3,7,2,6,1]=>[1,6,2,7,3,8,4,9,5]=>[[1,2,4,6,8],[3,5,7,9]]=>20 [5,4,7,6,9,8,3,2,1]=>[5,7,9,4,6,8,3,2,1]=>[1,2,3,8,6,4,9,7,5]=>[[1,2,3,4,7],[5,8],[6,9]]=>24 [5,6,7,8,9,4,3,2,1]=>[5,6,7,8,9,4,3,2,1]=>[1,2,3,4,9,8,7,6,5]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>26 [4,5,6,7,8,9,3,2,1]=>[4,5,6,7,8,9,3,2,1]=>[1,2,3,9,8,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>21 [3,2,1,6,5,4,9,8,7]=>[3,6,9,2,5,8,1,4,7]=>[7,4,1,8,5,2,9,6,3]=>[[1,4,7],[2,5,8],[3,6,9]]=>9 [3,2,5,4,7,6,9,8,1]=>[3,5,7,9,2,4,6,8,1]=>[1,8,6,4,2,9,7,5,3]=>[[1,2,6],[3,7],[4,8],[5,9]]=>12 [3,4,5,6,7,8,9,2,1]=>[3,4,5,6,7,8,9,2,1]=>[1,2,9,8,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>15 [8,7,10,9,6,5,4,3,2,1]=>[8,10,7,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,7,10,8]=>[[1,2,3,4,5,6,7,9],[8,10]]=>41 [8,9,10,7,6,5,4,3,2,1]=>[8,9,10,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,10,9,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>42 [7,6,5,10,9,8,4,3,2,1]=>[7,10,6,9,5,8,4,3,2,1]=>[1,2,3,4,8,5,9,6,10,7]=>[[1,2,3,4,5,7,9],[6,8,10]]=>36 [7,8,9,10,6,5,4,3,2,1]=>[7,8,9,10,6,5,4,3,2,1]=>[1,2,3,4,5,6,10,9,8,7]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>39 [6,5,4,3,10,9,8,7,2,1]=>[6,10,5,9,4,8,3,7,2,1]=>[1,2,7,3,8,4,9,5,10,6]=>[[1,2,3,5,7,9],[4,6,8,10]]=>29 [6,5,8,7,10,9,4,3,2,1]=>[6,8,10,5,7,9,4,3,2,1]=>[1,2,3,4,9,7,5,10,8,6]=>[[1,2,3,4,5,8],[6,9],[7,10]]=>33 [5,4,3,2,1,10,9,8,7,6]=>[5,10,4,9,3,8,2,7,1,6]=>[6,1,7,2,8,3,9,4,10,5]=>[[1,3,5,7,9],[2,4,6,8,10]]=>20 [5,6,7,8,9,10,4,3,2,1]=>[5,6,7,8,9,10,4,3,2,1]=>[1,2,3,4,10,9,8,7,6,5]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>30 [4,3,2,7,6,5,10,9,8,1]=>[4,7,10,3,6,9,2,5,8,1]=>[1,8,5,2,9,6,3,10,7,4]=>[[1,2,5,8],[3,6,9],[4,7,10]]=>18 [4,3,6,5,8,7,10,9,2,1]=>[4,6,8,10,3,5,7,9,2,1]=>[1,2,9,7,5,3,10,8,6,4]=>[[1,2,3,7],[4,8],[5,9],[6,10]]=>21 [4,5,6,7,8,9,10,3,2,1]=>[4,5,6,7,8,9,10,3,2,1]=>[1,2,3,10,9,8,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>24 [3,4,5,6,7,8,9,10,2,1]=>[3,4,5,6,7,8,9,10,2,1]=>[1,2,10,9,8,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>17 [1,6,2,5,3,4,8,7]=>[1,6,2,5,8,3,4,7]=>[7,4,3,8,5,2,6,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [1,3,8,2,4,6,5,7]=>[3,8,1,2,6,4,5,7]=>[7,5,4,6,2,1,8,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [1,6,8,2,5,3,7,4]=>[1,6,2,8,5,7,3,4]=>[4,3,7,5,8,2,6,1]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [1,8,2,3,6,4,7,5]=>[1,2,8,3,6,7,4,5]=>[5,4,7,6,3,8,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [1,3,5,2,8,4,7,6]=>[8,5,3,7,1,2,4,6]=>[6,4,2,1,7,3,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,8,2,7,3,4,6,5]=>[8,1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>11 [7,1,5,8,4,2,3,6]=>[5,1,7,4,2,3,8,6]=>[6,8,3,2,4,7,1,5]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [8,1,5,7,4,2,3,6]=>[1,8,5,4,2,3,7,6]=>[6,7,3,2,4,5,8,1]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [7,1,4,5,8,2,3,6]=>[4,5,1,7,2,3,8,6]=>[6,8,3,2,7,1,5,4]=>[[1,2],[3,5],[4,7],[6,8]]=>13 [7,4,1,6,2,8,3,5]=>[4,7,1,2,6,3,8,5]=>[5,8,3,6,2,1,7,4]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [8,4,1,7,2,6,3,5]=>[4,1,8,2,7,3,6,5]=>[5,6,3,7,2,8,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [8,1,4,7,5,2,3,6]=>[4,1,8,5,2,3,7,6]=>[6,7,3,2,5,8,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [8,1,5,4,7,2,3,6]=>[5,1,8,4,2,3,7,6]=>[6,7,3,2,4,8,1,5]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [2,1,7,5,8,3,4,6]=>[7,8,2,1,5,3,4,6]=>[6,4,3,5,1,2,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [7,1,4,8,5,2,3,6]=>[7,4,1,5,2,3,8,6]=>[6,8,3,2,5,1,4,7]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [8,6,1,7,4,2,3,5]=>[1,6,4,2,3,8,7,5]=>[5,7,8,3,2,4,6,1]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [7,6,1,8,4,2,3,5]=>[1,7,6,2,4,3,8,5]=>[5,8,3,4,2,6,7,1]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [8,3,7,1,2,4,6,5]=>[1,3,8,2,7,4,6,5]=>[5,6,4,7,2,8,3,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [8,3,6,1,2,4,7,5]=>[1,3,2,4,8,6,7,5]=>[5,7,6,8,4,2,3,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [8,3,7,5,1,2,4,6]=>[1,8,3,2,5,4,7,6]=>[6,7,4,5,2,3,8,1]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [7,3,6,1,2,4,8,5]=>[1,3,2,7,4,6,8,5]=>[5,8,6,4,7,2,3,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [6,7,1,8,4,2,3,5]=>[6,1,7,2,4,3,8,5]=>[5,8,3,4,2,7,1,6]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [6,8,1,7,4,2,3,5]=>[6,1,2,8,4,3,7,5]=>[5,7,3,4,8,2,1,6]=>[[1,2,5],[3,4,8],[6],[7]]=>17 [2,1,7,8,5,3,4,6]=>[2,7,1,8,5,3,4,6]=>[6,4,3,5,8,1,7,2]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [7,6,3,1,2,4,8,5]=>[1,3,2,4,7,6,8,5]=>[5,8,6,7,4,2,3,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [6,1,2,3,8,7,5,4]=>[8,6,7,1,2,3,5,4]=>[4,5,3,2,1,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [6,8,1,4,2,3,7,5]=>[1,6,2,4,8,3,7,5]=>[5,7,3,8,4,2,6,1]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [6,8,3,1,2,7,4,5]=>[1,3,6,2,8,4,7,5]=>[5,7,4,8,2,6,3,1]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [6,7,3,1,2,8,4,5]=>[1,3,2,6,7,4,8,5]=>[5,8,4,7,6,2,3,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>14 [6,7,1,4,2,3,8,5]=>[1,6,2,4,3,7,8,5]=>[5,8,7,3,4,2,6,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [2,4,8,5,1,3,6,7]=>[2,8,4,1,5,3,6,7]=>[7,6,3,5,1,4,8,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [3,5,6,1,8,4,2,7]=>[5,6,3,8,1,4,2,7]=>[7,2,4,1,8,3,6,5]=>[[1,3,5],[2,6,7],[4,8]]=>12 [5,7,1,6,8,4,3,2]=>[7,5,6,8,1,4,3,2]=>[2,3,4,1,8,6,5,7]=>[[1,2,3,5,8],[4,6],[7]]=>18 [8,4,6,2,5,7,3,1]=>[4,6,2,5,8,7,3,1]=>[1,3,7,8,5,2,6,4]=>[[1,2,3,4],[5,7],[6,8]]=>20 [1,7,8,4,6,2,5,3]=>[4,1,7,8,6,5,2,3]=>[3,2,5,6,8,7,1,4]=>[[1,3,4,5],[2,6],[7,8]]=>16 [3,7,4,8,5,1,6,2]=>[7,3,4,1,8,5,6,2]=>[2,6,5,8,1,4,3,7]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [3,7,1,6,5,4,8,2]=>[7,6,3,5,1,4,8,2]=>[2,8,4,1,5,3,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>14 [2,7,3,1,5,8,4,6]=>[2,3,7,8,1,5,4,6]=>[6,4,5,1,8,7,3,2]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [2,7,4,6,8,1,3,5]=>[7,6,8,2,1,4,3,5]=>[5,3,4,1,2,8,6,7]=>[[1,3,6,8],[2,5,7],[4]]=>14 [2,7,5,8,6,4,1,3]=>[5,7,8,6,4,2,1,3]=>[3,1,2,4,6,8,7,5]=>[[1,3,4,5,6],[2,7],[8]]=>18 [8,2,6,7,5,4,3,1]=>[6,8,7,5,2,4,3,1]=>[1,3,4,2,5,7,8,6]=>[[1,2,3,5,6,7],[4,8]]=>22 [3,8,7,1,6,4,5,2]=>[8,7,3,1,6,4,5,2]=>[2,5,4,6,1,3,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>18 [1,5,2,8,7,4,6,3]=>[8,7,5,1,4,6,2,3]=>[3,2,6,4,1,5,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>12 [3,4,2,7,8,1,6,5]=>[7,8,3,4,2,6,1,5]=>[5,1,6,2,4,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>12 [4,1,3,7,5,6,8,2]=>[7,4,1,3,5,6,8,2]=>[2,8,6,5,3,1,4,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>10 [6,5,8,7,1,4,2,3]=>[6,5,1,8,2,7,4,3]=>[3,4,7,2,8,1,5,6]=>[[1,2,3,5],[4,7,8],[6]]=>20 [1,6,7,4,5,3,8,2]=>[6,4,7,5,3,8,1,2]=>[2,1,8,3,5,7,4,6]=>[[1,3,5,6],[2,4,8],[7]]=>14 [6,1,7,3,5,4,8,2]=>[1,6,7,5,3,4,8,2]=>[2,8,4,3,5,7,6,1]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [6,3,1,2,5,8,4,7]=>[1,3,6,8,2,5,4,7]=>[7,4,5,2,8,6,3,1]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [1,4,7,2,8,5,3,6]=>[4,1,7,8,5,2,3,6]=>[6,3,2,5,8,7,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [6,8,5,7,1,2,4,3]=>[1,2,8,6,5,7,4,3]=>[3,4,7,5,6,8,2,1]=>[[1,2,3,5,6],[4],[7],[8]]=>20 [2,8,4,1,7,5,6,3]=>[8,4,2,5,7,6,1,3]=>[3,1,6,7,5,2,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>14 [8,2,4,3,7,5,6,1]=>[8,4,2,3,5,7,6,1]=>[1,6,7,5,3,2,4,8]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [6,8,2,1,5,7,3,4]=>[6,2,8,1,5,3,7,4]=>[4,7,3,5,1,8,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>16 [7,2,8,4,1,6,3,5]=>[7,2,4,1,8,3,6,5]=>[5,6,3,8,1,4,2,7]=>[[1,2,4],[3,6,8],[5,7]]=>16 [1,2,4,8,6,5,3,7]=>[8,4,6,5,1,2,3,7]=>[7,3,2,1,5,6,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [4,8,2,5,7,1,6,3]=>[4,2,8,5,7,1,6,3]=>[3,6,1,7,5,8,2,4]=>[[1,2,4,6],[3,5,8],[7]]=>16 [4,1,6,8,5,3,7,2]=>[8,6,4,5,1,3,7,2]=>[2,7,3,1,5,4,6,8]=>[[1,2,5,7,8],[3,6],[4]]=>14 [1,7,3,2,4,8,5,6]=>[3,7,1,2,4,8,5,6]=>[6,5,8,4,2,1,7,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>8 [1,3,6,5,2,8,4,7]=>[6,5,8,3,1,2,4,7]=>[7,4,2,1,3,8,5,6]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [7,1,6,5,3,4,8,2]=>[1,7,6,5,3,4,8,2]=>[2,8,4,3,5,6,7,1]=>[[1,2,5,6,7],[3],[4],[8]]=>16 [6,3,4,2,8,7,5,1]=>[3,4,8,2,6,7,5,1]=>[1,5,7,6,2,8,4,3]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [4,3,8,7,5,2,6,1]=>[8,7,4,3,5,2,6,1]=>[1,6,2,5,3,4,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>18 [6,8,7,4,2,3,5,1]=>[2,8,6,4,3,7,5,1]=>[1,5,7,3,4,6,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>22 [3,6,4,5,2,8,7,1]=>[3,6,4,5,8,2,7,1]=>[1,7,2,8,5,4,6,3]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [8,6,1,3,5,4,2,7]=>[6,1,5,3,4,2,8,7]=>[7,8,2,4,3,5,1,6]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [5,3,8,6,1,2,4,7]=>[5,1,8,3,2,6,4,7]=>[7,4,6,2,3,8,1,5]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [2,5,6,3,4,8,7,1]=>[5,2,6,8,3,4,7,1]=>[1,7,4,3,8,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [3,8,7,2,6,4,5,1]=>[8,3,2,7,6,4,5,1]=>[1,5,4,6,7,2,3,8]=>[[1,2,4,5,8],[3,7],[6]]=>19 [6,3,5,4,8,7,2,1]=>[6,3,5,8,4,7,2,1]=>[1,2,7,4,8,5,3,6]=>[[1,2,3,5,8],[4,6],[7]]=>18 [4,3,8,6,1,5,2,7]=>[4,3,8,6,1,5,2,7]=>[7,2,5,1,6,8,3,4]=>[[1,3,5,6],[2,7,8],[4]]=>14 [4,7,6,2,5,3,8,1]=>[4,7,6,2,5,3,8,1]=>[1,8,3,5,2,6,7,4]=>[[1,2,4,6,7],[3,8],[5]]=>17 [7,5,2,6,8,1,4,3]=>[2,7,5,1,6,8,4,3]=>[3,4,8,6,1,5,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [8,5,2,7,1,4,3,6]=>[2,1,5,8,4,3,7,6]=>[6,7,3,4,8,5,1,2]=>[[1,2,5],[3,4,6],[7,8]]=>17 [1,5,3,4,8,6,2,7]=>[5,3,8,4,6,1,2,7]=>[7,2,1,6,4,8,3,5]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [5,4,1,3,8,6,2,7]=>[5,8,1,4,3,6,2,7]=>[7,2,6,3,4,1,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [5,8,2,4,7,6,3,1]=>[5,8,2,7,4,6,3,1]=>[1,3,6,4,7,2,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>19 [6,8,2,5,3,4,7,1]=>[2,8,3,6,5,4,7,1]=>[1,7,4,5,6,3,8,2]=>[[1,2,4,5,7],[3],[6],[8]]=>18 [7,1,3,5,8,2,6,4]=>[3,7,5,8,1,2,6,4]=>[4,6,2,1,8,5,7,3]=>[[1,2,5],[3,6,7],[4,8]]=>13 [6,3,1,4,7,5,8,2]=>[1,3,4,6,7,5,8,2]=>[2,8,5,7,6,4,3,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>12 [7,1,3,6,2,8,4,5]=>[3,7,6,1,2,4,8,5]=>[5,8,4,2,1,6,7,3]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [6,2,7,4,5,8,1,3]=>[6,2,7,4,5,1,8,3]=>[3,8,1,5,4,7,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [2,7,4,1,5,3,8,6]=>[2,1,7,4,5,8,3,6]=>[6,3,8,5,4,7,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [2,7,1,4,6,3,8,5]=>[7,2,6,1,4,8,3,5]=>[5,3,8,4,1,6,2,7]=>[[1,3,6,8],[2,4],[5,7]]=>10 [4,7,5,6,8,1,3,2]=>[4,7,5,1,6,8,3,2]=>[2,3,8,6,1,5,7,4]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [2,8,5,4,1,3,6,7]=>[5,4,2,1,3,8,6,7]=>[7,6,8,3,1,2,4,5]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [5,1,7,4,2,3,8,6]=>[5,1,2,7,4,8,3,6]=>[6,3,8,4,7,2,1,5]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [1,3,4,8,6,5,2,7]=>[8,3,6,4,5,1,2,7]=>[7,2,1,5,4,6,3,8]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [4,1,8,6,5,3,2,7]=>[8,6,1,4,5,3,2,7]=>[7,2,3,5,4,1,6,8]=>[[1,3,4,7,8],[2],[5],[6]]=>14 [7,2,8,5,3,6,4,1]=>[2,7,3,8,5,6,4,1]=>[1,4,6,5,8,3,7,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [7,5,2,8,4,6,1,3]=>[5,7,2,4,1,8,6,3]=>[3,6,8,1,4,2,7,5]=>[[1,2,3],[4,5,7],[6,8]]=>19 [5,7,4,3,6,2,8,1]=>[7,5,4,3,6,2,8,1]=>[1,8,2,6,3,4,5,7]=>[[1,2,4,6,7,8],[3],[5]]=>18 [6,7,5,1,2,8,3,4]=>[1,2,6,7,5,3,8,4]=>[4,8,3,5,7,6,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [3,6,8,4,7,2,5,1]=>[6,8,3,7,4,2,5,1]=>[1,5,2,4,7,3,8,6]=>[[1,2,4,5,7],[3,8],[6]]=>18 [7,6,3,8,4,2,5,1]=>[7,3,6,4,2,8,5,1]=>[1,5,8,2,4,6,3,7]=>[[1,2,3,6,8],[4,5],[7]]=>21 [7,2,3,6,5,8,4,1]=>[7,6,2,3,5,8,4,1]=>[1,4,8,5,3,2,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>16 [6,2,7,5,8,3,1,4]=>[6,7,5,2,3,1,8,4]=>[4,8,1,3,2,5,7,6]=>[[1,2,6,7],[3,4],[5,8]]=>17 [5,4,8,3,6,2,7,1]=>[8,5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5,8]=>[[1,2,4,6,7,8],[3],[5]]=>18 [5,8,2,7,4,3,6,1]=>[2,5,8,7,4,3,6,1]=>[1,6,3,4,7,8,5,2]=>[[1,2,4,5,6],[3,7],[8]]=>19 [1,5,6,4,8,2,7,3]=>[5,6,4,8,1,7,2,3]=>[3,2,7,1,8,4,6,5]=>[[1,3,5],[2,6,7],[4,8]]=>12 [1,3,6,2,5,7,8,4]=>[3,6,5,7,8,1,2,4]=>[4,2,1,8,7,5,6,3]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [1,4,6,3,5,7,8,2]=>[6,4,3,5,7,8,1,2]=>[2,1,8,7,5,3,4,6]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [3,5,1,6,4,7,8,2]=>[3,5,6,1,4,7,8,2]=>[2,8,7,4,1,6,5,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [1,3,6,5,2,7,8,4]=>[6,5,3,7,8,1,2,4]=>[4,2,1,8,7,3,5,6]=>[[1,4,7,8],[2,5],[3,6]]=>8 [1,2,6,4,3,8,5,7]=>[6,8,1,4,2,3,5,7]=>[7,5,3,2,4,1,8,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [1,2,6,3,5,8,7,4]=>[6,8,1,5,7,2,3,4]=>[4,3,2,7,5,1,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [2,3,6,1,8,5,4,7]=>[6,2,8,3,5,1,4,7]=>[7,4,1,5,3,8,2,6]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [3,1,7,5,4,8,6,2]=>[7,1,5,8,3,4,6,2]=>[2,6,4,3,8,5,1,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [1,2,7,6,4,8,5,3]=>[4,7,6,8,5,1,2,3]=>[3,2,1,5,8,6,7,4]=>[[1,4,5,7],[2,6],[3,8]]=>11 [1,2,7,3,6,8,5,4]=>[7,6,8,1,5,2,3,4]=>[4,3,2,5,1,8,6,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [1,2,5,8,4,7,3,6]=>[5,8,7,4,1,2,3,6]=>[6,3,2,1,4,7,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [1,2,6,8,5,4,7,3]=>[8,6,5,4,7,1,2,3]=>[3,2,1,7,4,5,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>11 [2,4,7,6,8,3,1,5]=>[7,6,8,4,2,3,1,5]=>[5,1,3,2,4,8,6,7]=>[[1,3,5,6,8],[2,7],[4]]=>14 [1,2,6,8,5,4,3,7]=>[8,6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6,8]=>[[1,5,6,7,8],[2],[3],[4]]=>10 [1,2,5,8,4,3,7,6]=>[5,4,8,7,1,2,3,6]=>[6,3,2,1,7,8,4,5]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [3,5,7,4,8,1,2,6]=>[7,5,8,3,1,4,2,6]=>[6,2,4,1,3,8,5,7]=>[[1,3,6,8],[2,5,7],[4]]=>14 [4,6,1,7,5,8,2,3]=>[6,7,1,4,5,2,8,3]=>[3,8,2,5,4,1,7,6]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [2,3,6,7,5,8,1,4]=>[6,7,5,8,2,3,1,4]=>[4,1,3,2,8,5,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>12 [2,3,6,5,8,1,7,4]=>[6,8,5,2,3,7,1,4]=>[4,1,7,3,2,5,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>11 [3,4,6,2,8,1,7,5]=>[6,8,3,4,2,7,1,5]=>[5,1,7,2,4,3,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>12 [3,5,4,6,8,2,1,7]=>[5,8,3,4,6,2,1,7]=>[7,1,2,6,4,3,8,5]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [3,5,4,6,8,1,2,7]=>[5,8,3,4,1,6,2,7]=>[7,2,6,1,4,3,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [3,6,4,7,1,8,5,2]=>[3,6,4,7,8,1,5,2]=>[2,5,1,8,7,4,6,3]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [1,2,6,7,3,8,5,4]=>[1,6,7,8,5,2,3,4]=>[4,3,2,5,8,7,6,1]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [2,3,6,5,8,7,1,4]=>[6,8,5,7,2,3,1,4]=>[4,1,3,2,7,5,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>12 [1,2,7,4,6,8,5,3]=>[7,4,6,8,5,1,2,3]=>[3,2,1,5,8,6,4,7]=>[[1,4,5,8],[2,6],[3,7]]=>10 [1,2,7,5,6,8,4,3]=>[5,7,6,8,4,1,2,3]=>[3,2,1,4,8,6,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>11 [3,1,6,7,5,8,4,2]=>[6,7,5,8,1,3,4,2]=>[2,4,3,1,8,5,7,6]=>[[1,2,5,7],[3,6],[4,8]]=>13 [4,6,2,7,5,8,3,1]=>[4,6,7,2,5,8,3,1]=>[1,3,8,5,2,7,6,4]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [3,5,7,4,8,2,6,1]=>[7,5,8,3,4,2,6,1]=>[1,6,2,4,3,8,5,7]=>[[1,2,4,6,8],[3,7],[5]]=>16 [2,4,7,6,8,3,5,1]=>[7,6,8,4,2,3,5,1]=>[1,5,3,2,4,8,6,7]=>[[1,2,5,6,8],[3,7],[4]]=>15 [1,3,6,8,2,5,7,4]=>[3,8,6,5,7,1,2,4]=>[4,2,1,7,5,6,8,3]=>[[1,4,6,7],[2,5],[3,8]]=>10 [1,3,5,8,2,7,4,6]=>[5,8,7,3,1,2,4,6]=>[6,4,2,1,3,7,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [1,2,5,8,4,7,6,3]=>[5,8,7,4,6,1,2,3]=>[3,2,1,6,4,7,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>10 [1,2,4,8,7,3,6,5]=>[4,8,7,6,1,2,3,5]=>[5,3,2,1,6,7,8,4]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [1,3,5,8,7,2,4,6]=>[8,7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>10 [5,7,1,2,8,6,4,3]=>[7,8,1,2,5,6,4,3]=>[3,4,6,5,2,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [1,2,5,8,7,4,6,3]=>[8,7,5,4,6,1,2,3]=>[3,2,1,6,4,5,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>11 [1,2,4,8,7,6,3,5]=>[8,7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>10 [6,4,5,7,2,8,1,3]=>[4,6,5,2,7,1,8,3]=>[3,8,1,7,2,5,6,4]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [3,2,7,4,6,8,1,5]=>[3,7,6,8,2,4,1,5]=>[5,1,4,2,8,6,7,3]=>[[1,3,5,7],[2,6],[4,8]]=>12 [5,3,6,2,7,1,4,8]=>[3,5,2,6,1,7,4,8]=>[8,4,7,1,6,2,5,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [2,6,3,4,7,1,5,8]=>[2,3,6,7,4,1,5,8]=>[8,5,1,4,7,6,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [3,7,4,5,6,8,1,2]=>[3,4,7,5,6,1,8,2]=>[2,8,1,6,5,7,4,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [2,5,7,3,6,8,1,4]=>[5,7,2,6,8,3,1,4]=>[4,1,3,8,6,2,7,5]=>[[1,3,4,7],[2,5],[6,8]]=>13 [4,7,6,2,3,8,1,5]=>[2,7,6,4,8,3,1,5]=>[5,1,3,8,4,6,7,2]=>[[1,3,4,6,7],[2,5],[8]]=>16 [7,3,5,2,4,8,1,6]=>[5,3,2,4,7,1,8,6]=>[6,8,1,7,4,2,3,5]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [7,6,2,4,5,8,1,3]=>[2,7,4,6,5,1,8,3]=>[3,8,1,5,6,4,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [5,3,1,2,8,4,7,6]=>[1,3,5,8,2,7,4,6]=>[6,4,7,2,8,5,3,1]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [6,5,2,3,7,1,4,8]=>[2,3,6,5,1,7,4,8]=>[8,4,7,1,5,6,3,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>13 [5,2,1,7,3,4,6,8]=>[5,2,1,3,7,4,6,8]=>[8,6,4,7,3,1,2,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [7,3,1,2,8,4,6,5]=>[3,1,7,8,2,4,6,5]=>[5,6,4,2,8,7,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [6,2,3,1,8,4,7,5]=>[2,3,6,8,1,4,7,5]=>[5,7,4,1,8,6,3,2]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [8,3,5,2,7,1,4,6]=>[5,8,3,2,1,4,7,6]=>[6,7,4,1,2,3,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>16 [8,6,2,4,7,1,5,3]=>[2,4,1,8,6,7,5,3]=>[3,5,7,6,8,1,4,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [8,6,3,7,2,4,5,1]=>[6,3,2,4,8,7,5,1]=>[1,5,7,8,4,2,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>21 [7,1,6,2,3,4,5,8]=>[1,2,3,7,4,6,5,8]=>[8,5,6,4,7,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>10 [8,2,7,3,4,5,6,1]=>[2,3,4,8,5,7,6,1]=>[1,6,7,5,8,4,3,2]=>[[1,2,3,5],[4],[6],[7],[8]]=>17 [8,6,1,7,2,4,5,3]=>[8,1,2,6,4,7,5,3]=>[3,5,7,4,6,2,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [1,7,5,8,2,3,6,4]=>[1,5,2,7,8,6,3,4]=>[4,3,6,8,7,2,5,1]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [7,2,1,8,3,4,5,6]=>[2,1,7,3,4,5,8,6]=>[6,8,5,4,3,7,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>11 [7,3,8,2,4,5,6,1]=>[3,2,7,4,5,8,6,1]=>[1,6,8,5,4,7,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [1,7,8,3,4,5,6,2]=>[3,4,7,5,8,6,1,2]=>[2,1,6,8,5,7,4,3]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [2,5,7,1,8,3,6,4]=>[5,7,2,8,1,6,3,4]=>[4,3,6,1,8,2,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>12 [4,7,1,3,8,5,6,2]=>[7,4,1,8,3,5,6,2]=>[2,6,5,3,8,1,4,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [4,1,3,6,8,2,7,5]=>[8,4,6,1,3,7,2,5]=>[5,2,7,3,1,6,4,8]=>[[1,3,6,8],[2,4],[5,7]]=>10 [5,3,4,6,8,2,7,1]=>[3,5,8,4,6,2,7,1]=>[1,7,2,6,4,8,5,3]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [3,2,8,7,1,4,6,5]=>[3,2,8,7,6,1,4,5]=>[5,4,1,6,7,8,2,3]=>[[1,4,5,6],[2,7,8],[3]]=>13 [1,8,3,7,2,4,5,6]=>[3,1,2,8,4,7,5,6]=>[6,5,7,4,8,2,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [3,8,1,7,2,4,5,6]=>[1,3,2,8,4,7,5,6]=>[6,5,7,4,8,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [6,2,8,7,1,4,5,3]=>[6,8,2,1,7,4,5,3]=>[3,5,4,7,1,2,8,6]=>[[1,2,4,7],[3,6,8],[5]]=>17 [2,8,6,1,3,4,5,7]=>[2,1,3,8,4,6,5,7]=>[7,5,6,4,8,3,1,2]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [2,7,6,1,3,4,5,8]=>[2,1,3,7,6,4,5,8]=>[8,5,4,6,7,3,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [1,8,6,2,3,4,5,7]=>[1,2,3,8,4,6,5,7]=>[7,5,6,4,8,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>10 [2,8,7,3,4,5,6,1]=>[2,3,4,8,7,5,6,1]=>[1,6,5,7,8,4,3,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>16 [3,8,7,2,4,5,6,1]=>[3,2,4,8,7,5,6,1]=>[1,6,5,7,8,4,2,3]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [1,5,8,7,2,3,6,4]=>[1,5,8,7,2,6,3,4]=>[4,3,6,2,7,8,5,1]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [8,7,6,1,3,4,5,2]=>[1,3,8,4,7,6,5,2]=>[2,5,6,7,4,8,3,1]=>[[1,2,3,4,6],[5],[7],[8]]=>21 [3,6,2,4,7,1,8,5]=>[3,2,6,7,4,8,1,5]=>[5,1,8,4,7,6,2,3]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [2,1,6,4,8,5,3,7]=>[6,2,8,4,5,1,3,7]=>[7,3,1,5,4,8,2,6]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [4,1,8,5,3,2,7,6]=>[4,8,1,5,3,7,2,6]=>[6,2,7,3,5,1,8,4]=>[[1,3,5,7],[2,4],[6,8]]=>12 [3,6,2,5,7,1,4,8]=>[3,6,5,7,2,1,4,8]=>[8,4,1,2,7,5,6,3]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [5,6,1,2,8,4,3,7]=>[5,1,2,6,8,4,3,7]=>[7,3,4,8,6,2,1,5]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [1,6,3,8,7,4,2,5]=>[8,6,1,7,3,4,2,5]=>[5,2,4,3,7,1,6,8]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [4,3,8,1,2,6,7,5]=>[1,4,3,8,6,7,2,5]=>[5,2,7,6,8,3,4,1]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [1,2,3,4,5,10,9,8,7,6]=>[10,9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9,10]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>10 [11,12,9,10,7,8,5,6,3,4,1,2]=>[11,9,7,5,3,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>60 [2,4,1,3,5,6,7,8,9]=>[4,2,1,3,5,6,7,8,9]=>[9,8,7,6,5,3,1,2,4]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>3 [3,6,8,7,1,2,5,4]=>[1,8,6,3,7,5,2,4]=>[4,2,5,7,3,6,8,1]=>[[1,3,4,7],[2,5,6],[8]]=>16 [3,4,1,6,5,8,7,2]=>[3,6,8,1,4,5,7,2]=>[2,7,5,4,1,8,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [3,5,1,2,4,8,7,6]=>[1,5,8,3,7,2,4,6]=>[6,4,2,7,3,8,5,1]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [3,7,5,2,1,4,6,8]=>[7,3,2,1,5,4,6,8]=>[8,6,4,5,1,2,3,7]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [3,8,5,2,7,4,1,6]=>[3,8,5,2,7,4,1,6]=>[6,1,4,7,2,5,8,3]=>[[1,3,4,7],[2,6],[5,8]]=>16 [4,3,5,1,2,8,7,6]=>[4,3,8,1,5,7,2,6]=>[6,2,7,5,1,8,3,4]=>[[1,3,6],[2,4,8],[5,7]]=>10 [1,4,6,5,2,8,7,3]=>[6,4,8,1,5,7,2,3]=>[3,2,7,5,1,8,4,6]=>[[1,3,6],[2,4,8],[5,7]]=>10 [3,4,5,6,1,8,7,2]=>[3,4,5,8,1,6,7,2]=>[2,7,6,1,8,5,4,3]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [1,4,7,2,6,3,5,8]=>[4,1,7,6,2,3,5,8]=>[8,5,3,2,6,7,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [8,4,7,5,2,1,6,3]=>[4,2,1,8,5,7,6,3]=>[3,6,7,5,8,1,2,4]=>[[1,2,3,5],[4,7,8],[6]]=>20 [8,1,4,7,2,3,6,5]=>[1,4,8,7,2,3,6,5]=>[5,6,3,2,7,8,4,1]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [6,1,4,8,7,3,2,5]=>[8,4,6,3,1,2,7,5]=>[5,7,2,1,3,6,4,8]=>[[1,2,6,8],[3,5],[4,7]]=>15 [5,4,8,1,6,3,2,7]=>[5,1,8,4,6,3,2,7]=>[7,2,3,6,4,8,1,5]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [5,4,7,6,3,8,1,2]=>[5,7,4,6,3,1,8,2]=>[2,8,1,3,6,4,7,5]=>[[1,2,5,7],[3,4,8],[6]]=>18 [4,6,3,7,5,8,1,2]=>[6,4,7,3,5,1,8,2]=>[2,8,1,5,3,7,4,6]=>[[1,2,6,8],[3,4,7],[5]]=>16 [4,1,3,5,8,6,2,7]=>[8,4,1,3,5,6,2,7]=>[7,2,6,5,3,1,4,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>9 [5,7,4,3,8,1,2,6]=>[7,5,4,1,8,3,2,6]=>[6,2,3,8,1,4,5,7]=>[[1,3,4,7,8],[2,6],[5]]=>17 [1,4,8,3,7,6,5,2]=>[8,4,7,6,3,5,1,2]=>[2,1,5,3,6,7,4,8]=>[[1,3,5,6,8],[2,4,7]]=>14 [4,3,8,2,1,6,5,7]=>[4,3,2,8,6,1,5,7]=>[7,5,1,6,8,2,3,4]=>[[1,4,5,8],[2,6,7],[3]]=>12 [3,1,2,5,7,6,4,8]=>[7,1,3,5,6,2,4,8]=>[8,4,2,6,5,3,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [1,8,2,7,6,5,4,3]=>[8,7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>16 [3,8,1,6,7,5,4,2]=>[6,8,7,3,5,1,4,2]=>[2,4,1,5,3,7,8,6]=>[[1,2,4,6,7],[3,5,8]]=>17 [7,2,3,8,5,6,1,4]=>[7,2,8,3,5,1,6,4]=>[4,6,1,5,3,8,2,7]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [8,2,1,7,5,6,4,3]=>[2,8,7,5,6,1,4,3]=>[3,4,1,6,5,7,8,2]=>[[1,2,4,6,7],[3,5],[8]]=>17 [1,7,8,5,4,3,6,2]=>[7,5,4,3,8,6,1,2]=>[2,1,6,8,3,4,5,7]=>[[1,3,4,7,8],[2,5,6]]=>17 [1,8,4,5,3,2,6,7]=>[4,5,3,1,2,8,6,7]=>[7,6,8,2,1,3,5,4]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [7,1,6,3,4,2,5,8]=>[1,7,3,4,2,6,5,8]=>[8,5,6,2,4,3,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [6,8,7,1,4,2,5,3]=>[1,6,2,8,4,7,5,3]=>[3,5,7,4,8,2,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [3,6,1,4,2,7,5,8]=>[1,3,6,4,7,2,5,8]=>[8,5,2,7,4,6,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [3,6,5,1,2,8,4,7]=>[6,5,3,1,8,2,4,7]=>[7,4,2,8,1,3,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [3,8,5,6,7,2,1,4]=>[5,6,8,7,3,2,1,4]=>[4,1,2,3,7,8,6,5]=>[[1,3,4,5,6],[2,7],[8]]=>18 [8,5,6,1,4,2,3,7]=>[5,1,2,6,4,3,8,7]=>[7,8,3,4,6,2,1,5]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [1,6,4,5,7,2,3,8]=>[4,6,5,1,7,2,3,8]=>[8,3,2,7,1,5,6,4]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [8,3,6,1,7,2,4,5]=>[3,1,8,2,6,4,7,5]=>[5,7,4,6,2,8,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [1,8,6,5,7,3,4,2]=>[6,5,3,8,7,4,1,2]=>[2,1,4,7,8,3,5,6]=>[[1,3,4,5],[2,6,7,8]]=>18 [1,7,5,3,6,8,4,2]=>[3,5,7,6,8,4,1,2]=>[2,1,4,8,6,7,5,3]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [4,1,5,8,7,6,3,2]=>[8,7,4,5,6,1,3,2]=>[2,3,1,6,5,4,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>15 [1,2,5,8,6,7,3,4]=>[5,8,6,1,7,2,3,4]=>[4,3,2,7,1,6,8,5]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [3,5,4,6,1,8,2,7]=>[5,3,4,6,1,8,2,7]=>[7,2,8,1,6,4,3,5]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [3,1,5,7,6,8,2,4]=>[7,3,5,6,1,8,2,4]=>[4,2,8,1,6,5,3,7]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [1,7,3,6,5,2,8,4]=>[7,6,5,1,3,8,2,4]=>[4,2,8,3,1,5,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>12 [7,6,2,5,4,3,1,8]=>[7,6,2,5,4,3,1,8]=>[8,1,3,4,5,2,6,7]=>[[1,3,4,5,7,8],[2],[6]]=>18 [3,2,6,4,7,5,1,8]=>[6,3,7,2,4,5,1,8]=>[8,1,5,4,2,7,3,6]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [6,2,3,7,5,4,1,8]=>[6,7,2,3,5,4,1,8]=>[8,1,4,5,3,2,7,6]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [2,8,3,6,1,7,5,4]=>[2,3,8,6,7,5,1,4]=>[4,1,5,7,6,8,3,2]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [8,7,2,5,1,6,4,3]=>[8,2,1,7,5,6,4,3]=>[3,4,6,5,7,1,2,8]=>[[1,2,3,5,8],[4,7],[6]]=>20 [7,8,2,5,4,1,6,3]=>[7,5,2,1,4,8,6,3]=>[3,6,8,4,1,2,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>19 [4,8,5,2,6,1,7,3]=>[4,2,5,1,8,6,7,3]=>[3,7,6,8,1,5,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [7,1,3,6,2,8,5,4]=>[3,7,6,8,1,2,5,4]=>[4,5,2,1,8,6,7,3]=>[[1,2,5,7],[3,6],[4,8]]=>13 [4,1,7,8,2,6,5,3]=>[4,7,8,6,1,2,5,3]=>[3,5,2,1,6,8,7,4]=>[[1,2,5,6],[3,7],[4,8]]=>14 [3,2,8,6,1,7,5,4]=>[6,3,8,7,2,5,1,4]=>[4,1,5,2,7,8,3,6]=>[[1,3,5,6],[2,4,7,8]]=>14 [7,2,8,1,6,5,4,3]=>[7,8,2,6,5,1,4,3]=>[3,4,1,5,6,2,8,7]=>[[1,2,4,5,7],[3,6,8]]=>18 [1,8,7,2,6,5,4,3]=>[8,7,6,1,5,4,2,3]=>[3,2,4,5,1,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>17 [3,8,7,1,6,5,4,2]=>[8,7,3,6,5,1,4,2]=>[2,4,1,5,6,3,7,8]=>[[1,2,4,5,7,8],[3,6]]=>19 [6,7,8,5,1,4,3,2]=>[1,6,7,8,5,4,3,2]=>[2,3,4,5,8,7,6,1]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [7,3,8,5,4,1,6,2]=>[7,5,3,1,4,8,6,2]=>[2,6,8,4,1,3,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>19 [1,4,8,6,2,7,5,3]=>[4,6,8,7,1,5,2,3]=>[3,2,5,1,7,8,6,4]=>[[1,3,5,6],[2,7],[4,8]]=>13 [5,6,4,7,8,1,3,2]=>[5,6,4,1,7,8,3,2]=>[2,3,8,7,1,4,6,5]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [3,4,6,5,1,2,8,7]=>[6,3,4,1,5,8,2,7]=>[7,2,8,5,1,4,3,6]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [7,3,5,1,2,8,6,4]=>[1,3,2,7,8,5,6,4]=>[4,6,5,8,7,2,3,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [1,4,6,2,3,8,7,5]=>[1,6,8,4,7,2,3,5]=>[5,3,2,7,4,8,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [1,3,2,7,4,8,6,5]=>[3,7,8,6,1,2,4,5]=>[5,4,2,1,6,8,7,3]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [7,2,1,6,3,8,5,4]=>[2,7,6,8,1,3,5,4]=>[4,5,3,1,8,6,7,2]=>[[1,2,5,7],[3,6],[4,8]]=>13 [2,3,1,7,6,4,8,5]=>[7,6,2,3,8,1,4,5]=>[5,4,1,8,3,2,6,7]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [5,6,7,1,2,8,4,3]=>[1,5,2,6,7,8,4,3]=>[3,4,8,7,6,2,5,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [7,6,1,2,8,5,4,3]=>[7,6,8,1,2,5,4,3]=>[3,4,5,2,1,8,6,7]=>[[1,2,3,6,8],[4,7],[5]]=>17 [2,7,1,3,8,6,5,4]=>[7,8,2,6,1,5,3,4]=>[4,3,5,1,6,2,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>12 [1,7,2,3,8,6,5,4]=>[7,8,6,1,2,5,3,4]=>[4,3,5,2,1,6,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [8,7,1,2,6,5,4,3]=>[8,7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>19 [7,8,1,2,6,5,4,3]=>[7,8,6,1,2,5,4,3]=>[3,4,5,2,1,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>18 [3,8,1,6,2,7,5,4]=>[8,3,1,6,7,5,2,4]=>[4,2,5,7,6,1,3,8]=>[[1,3,4,8],[2,5],[6,7]]=>14 [4,8,5,1,2,7,6,3]=>[1,4,8,2,7,5,6,3]=>[3,6,5,7,2,8,4,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [2,1,3,7,4,8,6,5]=>[2,7,8,6,1,3,4,5]=>[5,4,3,1,6,8,7,2]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [5,3,6,4,2,8,1,7]=>[3,5,6,4,8,2,1,7]=>[7,1,2,8,4,6,5,3]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [4,1,5,3,8,2,7,6]=>[8,4,5,1,3,7,2,6]=>[6,2,7,3,1,5,4,8]=>[[1,3,6,8],[2,4],[5,7]]=>10 [5,2,6,4,7,3,1,8]=>[5,6,2,4,7,3,1,8]=>[8,1,3,7,4,2,6,5]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [2,6,3,4,7,5,1,8]=>[2,3,6,7,4,5,1,8]=>[8,1,5,4,7,6,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [2,7,4,3,5,8,1,6]=>[4,2,3,7,8,5,1,6]=>[6,1,5,8,7,3,2,4]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [7,6,4,5,2,8,1,3]=>[4,2,7,6,5,1,8,3]=>[3,8,1,5,6,7,2,4]=>[[1,2,5,6],[3,4,8],[7]]=>20 [5,4,3,1,8,2,7,6]=>[5,4,3,8,1,7,2,6]=>[6,2,7,1,8,3,4,5]=>[[1,3,5,8],[2,6,7],[4]]=>13 [6,5,4,2,7,3,1,8]=>[2,6,5,4,7,3,1,8]=>[8,1,3,7,4,5,6,2]=>[[1,3,4,6,7],[2],[5],[8]]=>16 [5,4,1,8,3,2,6,7]=>[1,5,8,4,3,2,6,7]=>[7,6,2,3,4,8,5,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [6,5,2,8,3,4,7,1]=>[2,6,5,3,8,4,7,1]=>[1,7,4,8,3,5,6,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [6,5,3,4,8,2,7,1]=>[3,6,5,8,4,2,7,1]=>[1,7,2,4,8,5,6,3]=>[[1,2,4,5,7],[3,6],[8]]=>18 [6,1,5,3,8,2,7,4]=>[3,6,5,8,1,2,7,4]=>[4,7,2,1,8,5,6,3]=>[[1,2,5],[3,6,7],[4,8]]=>13 [4,6,3,1,8,2,7,5]=>[6,4,3,8,1,7,2,5]=>[5,2,7,1,8,3,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>13 [8,2,6,4,7,3,1,5]=>[2,8,4,6,3,1,7,5]=>[5,7,1,3,6,4,8,2]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [8,6,2,5,7,4,1,3]=>[8,2,6,5,1,7,4,3]=>[3,4,7,1,5,6,2,8]=>[[1,2,3,6,8],[4,5],[7]]=>21 [8,3,1,7,2,5,4,6]=>[1,3,8,5,2,4,7,6]=>[6,7,4,2,5,8,3,1]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [8,1,7,3,5,6,4,2]=>[1,8,5,7,6,3,4,2]=>[2,4,3,6,7,5,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>18 [8,6,1,7,4,5,2,3]=>[8,6,1,4,2,7,5,3]=>[3,5,7,2,4,1,6,8]=>[[1,2,3,8],[4,5,7],[6]]=>20 [8,1,3,7,2,6,5,4]=>[8,3,7,6,1,2,5,4]=>[4,5,2,1,6,7,3,8]=>[[1,2,5,6,8],[3,7],[4]]=>15 [1,7,6,8,3,2,4,5]=>[7,1,6,3,2,8,4,5]=>[5,4,8,2,3,6,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [7,1,5,8,4,2,6,3]=>[7,1,8,2,5,4,6,3]=>[3,6,4,5,2,8,1,7]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [7,3,8,4,5,2,6,1]=>[3,7,4,5,2,8,6,1]=>[1,6,8,2,5,4,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [7,2,8,5,3,4,6,1]=>[2,7,5,3,4,8,6,1]=>[1,6,8,4,3,5,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [6,1,8,4,3,2,5,7]=>[6,4,1,3,2,8,5,7]=>[7,5,8,2,3,1,4,6]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [1,7,8,4,3,5,6,2]=>[4,3,7,5,8,6,1,2]=>[2,1,6,8,5,7,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>15 [4,3,1,6,8,2,7,5]=>[4,3,6,8,1,7,2,5]=>[5,2,7,1,8,6,3,4]=>[[1,3,5],[2,6,8],[4,7]]=>11 [5,7,4,8,3,2,1,6]=>[7,5,8,4,3,2,1,6]=>[6,1,2,3,4,8,5,7]=>[[1,3,4,5,6,8],[2,7]]=>19 [6,4,7,5,3,2,1,8]=>[4,6,7,5,3,2,1,8]=>[8,1,2,3,5,7,6,4]=>[[1,3,4,5,6],[2],[7],[8]]=>18 [1,8,3,7,6,2,4,5]=>[8,1,7,3,2,6,4,5]=>[5,4,6,2,3,7,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [6,8,2,4,7,5,1,3]=>[6,8,2,4,1,7,5,3]=>[3,5,7,1,4,2,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>19 [7,3,8,2,6,4,1,5]=>[3,7,2,8,4,1,6,5]=>[5,6,1,4,8,2,7,3]=>[[1,2,5],[3,4,7],[6,8]]=>18 [4,6,8,2,7,3,1,5]=>[8,6,4,2,7,3,1,5]=>[5,1,3,7,2,4,6,8]=>[[1,3,4,7,8],[2,6],[5]]=>17 [7,2,8,6,3,5,1,4]=>[2,7,8,6,3,1,5,4]=>[4,5,1,3,6,8,7,2]=>[[1,2,5,6],[3,4,7],[8]]=>19 [6,8,1,7,2,5,4,3]=>[8,1,6,7,2,5,4,3]=>[3,4,5,2,7,6,1,8]=>[[1,2,3,5,8],[4,6],[7]]=>18 [3,8,7,4,5,6,1,2]=>[3,4,8,7,5,1,6,2]=>[2,6,1,5,7,8,4,3]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [2,7,6,3,5,4,1,8]=>[7,2,6,5,3,4,1,8]=>[8,1,4,3,5,6,2,7]=>[[1,3,5,6,8],[2],[4],[7]]=>14 [1,7,6,5,2,4,3,8]=>[7,1,6,5,4,2,3,8]=>[8,3,2,4,5,6,1,7]=>[[1,4,5,6,8],[2],[3],[7]]=>13 [1,8,6,5,3,2,4,7]=>[8,1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [7,1,8,6,5,2,3,4]=>[1,7,2,8,6,3,5,4]=>[4,5,3,6,8,2,7,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [8,4,7,5,3,2,1,6]=>[4,8,5,3,2,1,7,6]=>[6,7,1,2,3,5,8,4]=>[[1,2,5,6,7],[3,4],[8]]=>21 [8,7,2,5,4,3,1,6]=>[5,4,2,3,1,8,7,6]=>[6,7,8,1,3,2,4,5]=>[[1,2,3,8],[4,5,7],[6]]=>20 [6,8,4,5,2,3,7,1]=>[4,2,8,6,5,3,7,1]=>[1,7,3,5,6,8,2,4]=>[[1,2,4,5,6],[3,8],[7]]=>20 [1,5,7,8,4,3,6,2]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[[1,3,5,6,7],[2,4,8]]=>15 [2,6,3,1,7,5,4,8]=>[2,3,6,7,5,1,4,8]=>[8,4,1,5,7,6,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [2,6,5,7,4,1,3,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[[1,4,5,6,8],[2,7],[3]]=>13 [2,5,6,8,4,3,7,1]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[[1,2,5,6,8],[3,7],[4]]=>15 [2,5,4,7,1,8,6,3]=>[5,7,4,8,2,6,1,3]=>[3,1,6,2,8,4,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>12 [6,5,4,8,2,1,7,3]=>[6,5,4,2,8,1,7,3]=>[3,7,1,8,2,4,5,6]=>[[1,2,4,7,8],[3,5,6]]=>18 [5,8,4,7,2,6,3,1]=>[5,4,8,7,2,6,3,1]=>[1,3,6,2,7,8,4,5]=>[[1,2,3,5,6],[4,7,8]]=>21 [1,5,7,3,2,8,6,4]=>[5,1,7,8,3,6,2,4]=>[4,2,6,3,8,7,1,5]=>[[1,3,5],[2,4,6],[7,8]]=>11 [5,8,3,2,7,6,4,1]=>[5,8,3,7,2,6,4,1]=>[1,4,6,2,7,3,8,5]=>[[1,2,3,5,7],[4,6,8]]=>19 [5,2,1,4,3,6,7,8]=>[2,5,1,4,3,6,7,8]=>[8,7,6,3,4,1,5,2]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [3,5,7,4,2,6,1,8]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[[1,3,5,7,8],[2],[4],[6]]=>13 [3,6,4,5,1,2,7,8]=>[3,6,4,1,5,2,7,8]=>[8,7,2,5,1,4,6,3]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [3,5,4,7,1,6,2,8]=>[5,3,4,7,1,6,2,8]=>[8,2,6,1,7,4,3,5]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [3,4,7,5,6,1,2,8]=>[3,7,4,5,1,6,2,8]=>[8,2,6,1,5,4,7,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [3,4,5,8,6,7,1,2]=>[3,8,4,5,6,1,7,2]=>[2,7,1,6,5,4,8,3]=>[[1,2,7],[3,4],[5],[6],[8]]=>14 [3,5,4,6,1,8,7,2]=>[5,3,4,8,1,6,7,2]=>[2,7,6,1,8,4,3,5]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [4,3,5,1,6,8,7,2]=>[4,3,8,1,5,6,7,2]=>[2,7,6,5,1,8,3,4]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [4,2,1,5,6,8,7,3]=>[2,8,1,4,5,6,7,3]=>[3,7,6,5,4,1,8,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [2,4,6,8,1,3,5,7,9]=>[8,6,4,2,1,3,5,7,9]=>[9,7,5,3,1,2,4,6,8]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>10 [2,4,6,8,1,3,5,7,9,10]=>[8,6,4,2,1,3,5,7,9,10]=>[10,9,7,5,3,1,2,4,6,8]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>10 [4,1,8,2,7,3,6,5]=>[4,8,1,7,2,6,3,5]=>[5,3,6,2,7,1,8,4]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [4,1,7,2,8,3,6,5]=>[4,1,7,8,2,6,3,5]=>[5,3,6,2,8,7,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [7,1,3,2,8,4,6,5]=>[7,3,8,1,2,4,6,5]=>[5,6,4,2,1,8,3,7]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [7,1,5,2,8,3,6,4]=>[7,1,2,5,8,3,6,4]=>[4,6,3,8,5,2,1,7]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [5,1,7,2,8,3,6,4]=>[5,1,7,8,2,3,6,4]=>[4,6,3,2,8,7,1,5]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [5,1,8,2,4,3,7,6]=>[5,1,2,8,4,7,3,6]=>[6,3,7,4,8,2,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [8,1,6,2,4,3,7,5]=>[4,1,2,3,8,6,7,5]=>[5,7,6,8,3,2,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [6,1,8,2,4,3,7,5]=>[6,1,4,8,2,3,7,5]=>[5,7,3,2,8,4,1,6]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [6,1,8,2,5,3,7,4]=>[1,6,2,8,3,5,7,4]=>[4,7,5,3,8,2,6,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [8,1,6,2,5,3,7,4]=>[1,8,2,3,6,5,7,4]=>[4,7,5,6,3,2,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>14 [8,1,6,2,7,3,5,4]=>[1,2,8,6,7,3,5,4]=>[4,5,3,7,6,8,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [6,1,8,2,7,3,5,4]=>[6,8,1,2,7,3,5,4]=>[4,5,3,7,2,1,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [6,1,7,2,5,3,8,4]=>[6,1,2,7,3,5,8,4]=>[4,8,5,3,7,2,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [6,1,7,2,4,3,8,5]=>[6,1,4,2,3,7,8,5]=>[5,8,7,3,2,4,1,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [5,1,6,2,4,3,8,7]=>[1,5,6,2,4,8,3,7]=>[7,3,8,4,2,6,5,1]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [7,1,5,2,4,3,8,6]=>[5,1,4,2,3,7,8,6]=>[6,8,7,3,2,4,1,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [7,1,6,2,4,3,8,5]=>[7,1,2,4,3,6,8,5]=>[5,8,6,3,4,2,1,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [7,1,6,2,5,3,8,4]=>[1,7,2,6,3,5,8,4]=>[4,8,5,3,6,2,7,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>13 [7,1,6,2,8,3,5,4]=>[1,7,2,6,8,3,5,4]=>[4,5,3,8,6,2,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [7,1,8,2,6,3,5,4]=>[1,7,8,2,6,3,5,4]=>[4,5,3,6,2,8,7,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [1,8,2,7,4,3,5,6]=>[8,1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [1,8,6,4,7,2,3,5]=>[8,1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [7,4,8,1,5,2,3,6]=>[4,1,7,2,5,3,8,6]=>[6,8,3,5,2,7,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [4,1,7,2,6,3,5,8]=>[4,1,7,2,6,3,5,8]=>[8,5,3,6,2,7,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [7,5,8,3,2,4,1,6]=>[5,3,2,7,4,1,8,6]=>[6,8,1,4,7,2,3,5]=>[[1,2,5,8],[3,4],[6,7]]=>19 [1,8,5,4,3,6,2,7]=>[8,5,1,4,3,6,2,7]=>[7,2,6,3,4,1,5,8]=>[[1,3,5,7,8],[2],[4],[6]]=>13 [1,8,5,4,3,7,2,6]=>[5,4,8,7,1,3,2,6]=>[6,2,3,1,7,8,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>14 [1,8,5,4,2,6,7,3]=>[1,5,4,6,8,7,2,3]=>[3,2,7,8,6,4,5,1]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [7,4,8,2,1,3,5,6]=>[2,1,7,4,3,5,8,6]=>[6,8,5,3,4,7,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [4,1,7,3,2,5,6,8]=>[7,1,4,3,2,5,6,8]=>[8,6,5,2,3,4,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>8 [7,5,4,8,2,3,6,1]=>[5,4,2,7,3,8,6,1]=>[1,6,8,3,7,2,4,5]=>[[1,2,3,8],[4,5],[6,7]]=>20 [4,3,1,6,2,5,7,8]=>[4,3,1,6,2,5,7,8]=>[8,7,5,2,6,1,3,4]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [6,5,4,3,7,1,8,2]=>[6,5,4,3,1,7,8,2]=>[2,8,7,1,3,4,5,6]=>[[1,2,6,7,8],[3,5],[4]]=>17 [6,3,2,8,5,7,1,4]=>[8,3,6,2,5,1,7,4]=>[4,7,1,5,2,6,3,8]=>[[1,2,6,8],[3,4,7],[5]]=>16 [6,5,4,3,8,2,7,1]=>[6,5,4,8,3,2,7,1]=>[1,7,2,3,8,4,5,6]=>[[1,2,4,5,7,8],[3,6]]=>19 [6,5,4,3,8,7,1,2]=>[6,5,4,8,3,1,7,2]=>[2,7,1,3,8,4,5,6]=>[[1,2,5,7,8],[3,4,6]]=>19 [7,5,4,8,6,1,3,2]=>[5,4,1,7,8,6,3,2]=>[2,3,6,8,7,1,4,5]=>[[1,2,3,4],[5,7,8],[6]]=>21 [7,6,3,8,5,4,1,2]=>[7,3,6,1,8,5,4,2]=>[2,4,5,8,1,6,3,7]=>[[1,2,3,4,8],[5,6],[7]]=>22 [6,5,8,3,1,7,4,2]=>[1,6,5,8,3,7,4,2]=>[2,4,7,3,8,5,6,1]=>[[1,2,3,5],[4,6,7],[8]]=>19 [7,2,8,6,1,5,3,4]=>[2,7,1,8,6,3,5,4]=>[4,5,3,6,8,1,7,2]=>[[1,2,4,5],[3,7],[6,8]]=>18 [2,1,7,8,3,6,4,5]=>[2,7,1,8,6,3,4,5]=>[5,4,3,6,8,1,7,2]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [6,4,1,7,8,2,3,5]=>[4,6,1,2,7,3,8,5]=>[5,8,3,7,2,1,6,4]=>[[1,2],[3,4],[5,7],[6,8]]=>14 [4,2,1,6,7,3,5,8]=>[2,4,6,1,7,3,5,8]=>[8,5,3,7,1,6,4,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>8 [5,4,2,7,3,8,1,6]=>[5,4,2,7,8,3,1,6]=>[6,1,3,8,7,2,4,5]=>[[1,3,4,8],[2,5],[6,7]]=>14 [6,3,1,7,8,5,2,4]=>[3,6,7,1,8,2,5,4]=>[4,5,2,8,1,7,6,3]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [6,5,4,1,7,8,3,2]=>[6,1,5,4,7,8,3,2]=>[2,3,8,7,4,5,1,6]=>[[1,2,3,6,8],[4],[5],[7]]=>17 [5,4,3,1,6,7,2,8]=>[1,5,4,3,6,7,2,8]=>[8,2,7,6,3,4,5,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>11 [6,5,4,2,7,8,3,1]=>[2,6,5,4,7,8,3,1]=>[1,3,8,7,4,5,6,2]=>[[1,2,3,6,7],[4],[5],[8]]=>18 [4,3,1,5,2,6,8,7]=>[1,4,3,5,8,2,6,7]=>[7,6,2,8,5,3,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [5,4,2,1,6,7,8,3]=>[2,1,5,4,6,7,8,3]=>[3,8,7,6,4,5,1,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [5,4,3,1,6,7,8,2]=>[1,5,4,3,6,7,8,2]=>[2,8,7,6,3,4,5,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>12 [6,3,8,1,2,5,7,4]=>[6,3,1,8,2,5,7,4]=>[4,7,5,2,8,1,3,6]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [3,6,7,1,2,5,8,4]=>[1,6,3,7,5,8,2,4]=>[4,2,8,5,7,3,6,1]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [7,8,3,1,2,5,6,4]=>[1,3,7,2,5,8,6,4]=>[4,6,8,5,2,7,3,1]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [7,8,1,3,2,4,6,5]=>[3,1,2,4,7,8,6,5]=>[5,6,8,7,4,2,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [7,8,2,1,3,5,4,6]=>[2,7,1,3,5,4,8,6]=>[6,8,4,5,3,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [5,2,3,7,1,8,6,4]=>[2,3,5,7,8,1,6,4]=>[4,6,1,8,7,5,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [2,6,7,3,1,8,4,5]=>[2,6,3,7,1,8,4,5]=>[5,4,8,1,7,3,6,2]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [3,2,5,7,1,8,4,6]=>[7,3,5,8,2,1,4,6]=>[6,4,1,2,8,5,3,7]=>[[1,4,5,8],[2,6],[3,7]]=>10 [4,3,1,2,7,8,6,5]=>[1,4,7,8,3,6,2,5]=>[5,2,6,3,8,7,4,1]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [5,1,2,7,3,6,4,8]=>[5,7,1,2,3,6,4,8]=>[8,4,6,3,2,1,7,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [5,3,4,7,8,6,1,2]=>[3,5,7,8,4,1,6,2]=>[2,6,1,4,8,7,5,3]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [1,5,4,6,8,2,3,7]=>[5,8,4,1,6,2,3,7]=>[7,3,2,6,1,4,8,5]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [1,6,7,3,2,4,8,5]=>[6,1,3,2,7,8,4,5]=>[5,4,8,7,2,3,1,6]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [1,5,3,6,2,7,8,4]=>[5,6,1,3,7,8,2,4]=>[4,2,8,7,3,1,6,5]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [4,5,2,8,6,1,7,3]=>[8,4,2,5,1,6,7,3]=>[3,7,6,1,5,2,4,8]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [4,3,5,7,6,8,1,2]=>[4,7,3,5,6,1,8,2]=>[2,8,1,6,5,3,7,4]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [4,5,1,8,6,2,3,7]=>[4,5,1,8,2,6,3,7]=>[7,3,6,2,8,1,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [7,6,5,4,8,1,3,2]=>[1,7,6,5,4,8,3,2]=>[2,3,8,4,5,6,7,1]=>[[1,2,3,5,6,7],[4],[8]]=>22 [7,6,5,8,2,1,4,3]=>[2,1,7,6,5,8,4,3]=>[3,4,8,5,6,7,1,2]=>[[1,2,3,5,6],[4,8],[7]]=>21 [8,5,4,3,2,1,7,6]=>[5,4,3,2,8,1,7,6]=>[6,7,1,8,2,3,4,5]=>[[1,2,4,7,8],[3,5,6]]=>18 [7,6,5,4,3,2,1,9,8]=>[7,6,5,4,3,2,9,1,8]=>[8,1,9,2,3,4,5,6,7]=>[[1,3,5,6,7,8,9],[2,4]]=>22 [7,6,5,2,8,1,4,3]=>[7,2,1,6,5,8,4,3]=>[3,4,8,5,6,1,2,7]=>[[1,2,3,5,8],[4,7],[6]]=>20 [7,6,5,8,4,1,3,2]=>[1,7,6,5,8,4,3,2]=>[2,3,4,8,5,6,7,1]=>[[1,2,3,4,6,7],[5],[8]]=>23 [7,6,8,5,2,1,4,3]=>[2,1,7,6,8,5,4,3]=>[3,4,5,8,6,7,1,2]=>[[1,2,3,4,6],[5,8],[7]]=>22 [8,7,4,3,2,1,6,5]=>[4,3,2,8,1,7,6,5]=>[5,6,7,1,8,2,3,4]=>[[1,2,3,5],[4,6,7,8]]=>20 [7,8,2,4,5,1,3,6]=>[2,7,4,1,5,3,8,6]=>[6,8,3,5,1,4,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [4,6,7,2,5,1,3,8]=>[6,4,7,2,1,5,3,8]=>[8,3,5,1,2,7,4,6]=>[[1,3,6,8],[2,5,7],[4]]=>14 [7,8,1,3,2,4,5,6]=>[3,1,2,4,7,5,8,6]=>[6,8,5,7,4,2,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>13 [5,2,3,6,1,4,7,8]=>[2,3,5,1,6,4,7,8]=>[8,7,4,6,1,5,3,2]=>[[1,4],[2,6],[3],[5],[7],[8]]=>8 [2,6,7,3,1,4,5,8]=>[2,6,3,1,7,4,5,8]=>[8,5,4,7,1,3,6,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [4,6,7,1,5,2,3,8]=>[6,4,1,7,2,5,3,8]=>[8,3,5,2,7,1,4,6]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [4,6,7,3,5,8,1,2]=>[6,7,4,3,5,1,8,2]=>[2,8,1,5,3,4,7,6]=>[[1,2,6,7],[3,4,8],[5]]=>17 [6,4,7,1,5,2,3,8]=>[1,4,6,2,7,5,3,8]=>[8,3,5,7,2,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [3,2,5,6,1,4,7,8]=>[3,5,6,2,1,4,7,8]=>[8,7,4,1,2,6,5,3]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [3,5,4,6,7,8,1,2]=>[5,3,4,6,7,1,8,2]=>[2,8,1,7,6,4,3,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [1,5,4,6,7,2,3,8]=>[5,4,6,1,7,2,3,8]=>[8,3,2,7,1,6,4,5]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [5,1,3,6,2,4,7,8]=>[3,5,1,2,6,4,7,8]=>[8,7,4,6,2,1,5,3]=>[[1,4],[2,7],[3,8],[5],[6]]=>7 [5,2,4,6,7,1,3,8]=>[5,2,4,6,1,7,3,8]=>[8,3,7,1,6,4,2,5]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [2,5,4,6,7,1,3,8]=>[5,4,6,7,2,1,3,8]=>[8,3,1,2,7,6,4,5]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [2,6,7,4,5,1,3,8]=>[6,4,7,5,2,1,3,8]=>[8,3,1,2,5,7,4,6]=>[[1,4,5,6],[2,7,8],[3]]=>13 [6,2,7,4,5,1,3,8]=>[6,2,7,4,1,5,3,8]=>[8,3,5,1,4,7,2,6]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [4,2,5,6,7,1,3,8]=>[2,4,5,6,1,7,3,8]=>[8,3,7,1,6,5,4,2]=>[[1,3],[2,5],[4],[6],[7],[8]]=>10 [4,5,2,6,7,1,3,8]=>[4,2,5,6,1,7,3,8]=>[8,3,7,1,6,5,2,4]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [5,4,1,6,7,2,3,8]=>[5,1,4,6,2,7,3,8]=>[8,3,7,2,6,4,1,5]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [7,3,2,5,4,1,6,8]=>[3,5,2,4,1,7,6,8]=>[8,6,7,1,4,2,5,3]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [7,3,5,2,4,1,6,8]=>[5,3,2,4,1,7,6,8]=>[8,6,7,1,4,2,3,5]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [7,6,5,2,1,4,3,8]=>[2,7,1,6,5,4,3,8]=>[8,3,4,5,6,1,7,2]=>[[1,3,4,5,7],[2,8],[6]]=>17 [1,3,6,7,5,2,8,4]=>[6,7,5,3,8,1,2,4]=>[4,2,1,8,3,5,7,6]=>[[1,4,6,7],[2,5],[3,8]]=>10 [7,3,4,1,6,2,5,8]=>[3,4,1,7,2,6,5,8]=>[8,5,6,2,7,1,4,3]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [7,3,4,1,5,6,2,8]=>[3,1,4,5,7,6,2,8]=>[8,2,6,7,5,4,1,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [7,6,5,4,1,3,2,8]=>[7,1,6,5,4,3,2,8]=>[8,2,3,4,5,6,1,7]=>[[1,3,4,5,6,8],[2],[7]]=>19 [1,3,6,7,2,5,8,4]=>[6,3,7,5,8,1,2,4]=>[4,2,1,8,5,7,3,6]=>[[1,4,6],[2,5,8],[3,7]]=>9 [1,7,4,6,2,8,5,3]=>[4,7,1,6,8,5,2,3]=>[3,2,5,8,6,1,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>13 [4,3,1,7,2,6,8,5]=>[4,3,7,1,6,8,2,5]=>[5,2,8,6,1,7,3,4]=>[[1,3,6],[2,4,8],[5,7]]=>10 [5,6,1,4,7,3,8,2]=>[5,6,1,4,7,3,8,2]=>[2,8,3,7,4,1,6,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [5,3,2,1,7,4,8,6]=>[3,2,5,1,7,8,4,6]=>[6,4,8,7,1,5,2,3]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [1,3,4,5,8,7,2,6]=>[8,7,3,4,5,1,2,6]=>[6,2,1,5,4,3,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [6,3,4,5,8,1,7,2]=>[3,4,6,5,8,1,7,2]=>[2,7,1,8,5,6,4,3]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [2,4,5,1,6,8,7,3]=>[4,5,8,2,6,7,1,3]=>[3,1,7,6,2,8,5,4]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [3,1,2,5,6,8,7,4]=>[8,1,3,5,6,7,2,4]=>[4,2,7,6,5,3,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [3,7,5,4,6,8,1,2]=>[7,3,5,4,6,1,8,2]=>[2,8,1,6,4,5,3,7]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [2,3,4,5,8,6,1,7]=>[2,8,3,4,5,6,1,7]=>[7,1,6,5,4,3,8,2]=>[[1,3,7],[2],[4],[5],[6],[8]]=>8 [3,7,5,4,6,8,2,1]=>[7,3,5,4,6,8,2,1]=>[1,2,8,6,4,5,3,7]=>[[1,2,3,6,8],[4],[5],[7]]=>17 [4,3,1,7,5,6,8,2]=>[4,1,7,3,5,6,8,2]=>[2,8,6,5,3,7,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [3,1,4,6,7,8,5,2]=>[6,7,8,1,3,4,5,2]=>[2,5,4,3,1,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [3,7,5,2,6,8,1,4]=>[5,3,7,6,8,2,1,4]=>[4,1,2,8,6,7,3,5]=>[[1,3,4,6],[2,5,8],[7]]=>15 [3,7,5,2,6,8,4,1]=>[5,3,7,6,8,2,4,1]=>[1,4,2,8,6,7,3,5]=>[[1,2,4,6],[3,5,8],[7]]=>16 [5,6,1,2,7,4,8,3]=>[1,2,5,6,7,4,8,3]=>[3,8,4,7,6,5,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>12 [6,3,5,2,4,7,8,1]=>[6,3,2,5,4,7,8,1]=>[1,8,7,4,5,2,3,6]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [5,3,2,1,4,7,8,6]=>[3,2,1,5,7,8,4,6]=>[6,4,8,7,5,1,2,3]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [5,3,1,2,4,7,8,6]=>[1,3,2,5,7,8,4,6]=>[6,4,8,7,5,2,3,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>8 [7,1,5,2,6,8,3,4]=>[1,7,5,6,2,3,8,4]=>[4,8,3,2,6,5,7,1]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [2,7,4,6,1,8,3,5]=>[7,6,2,4,1,8,3,5]=>[5,3,8,1,4,2,6,7]=>[[1,3,7,8],[2,5],[4,6]]=>13 [2,7,4,6,1,8,5,3]=>[7,4,2,6,8,5,1,3]=>[3,1,5,8,6,2,4,7]=>[[1,3,4,8],[2,5,7],[6]]=>14 [4,3,2,6,7,1,8,5]=>[4,3,6,7,2,8,1,5]=>[5,1,8,2,7,6,3,4]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [2,7,4,6,5,8,1,3]=>[7,4,6,5,8,2,1,3]=>[3,1,2,8,5,6,4,7]=>[[1,3,4,6,8],[2,5],[7]]=>15 [7,3,4,5,8,6,1,2]=>[3,4,5,7,1,8,6,2]=>[2,6,8,1,7,5,4,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [1,3,4,5,8,2,7,6]=>[3,8,4,5,7,1,2,6]=>[6,2,1,7,5,4,8,3]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [6,3,4,5,8,2,7,1]=>[3,4,6,8,5,2,7,1]=>[1,7,2,5,8,6,4,3]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [2,7,4,6,5,8,3,1]=>[7,4,6,5,8,2,3,1]=>[1,3,2,8,5,6,4,7]=>[[1,2,4,6,8],[3,5],[7]]=>16 [7,1,5,4,6,8,3,2]=>[5,4,7,6,8,1,3,2]=>[2,3,1,8,6,7,4,5]=>[[1,2,4,6],[3,5,8],[7]]=>16 [5,7,4,6,1,8,3,2]=>[1,7,5,4,6,8,3,2]=>[2,3,8,6,4,5,7,1]=>[[1,2,3,6,7],[4],[5],[8]]=>18 [6,3,4,5,8,1,2,7]=>[3,4,6,1,8,5,2,7]=>[7,2,5,8,1,6,4,3]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [7,3,4,5,8,2,1,6]=>[3,4,5,7,2,1,8,6]=>[6,8,1,2,7,5,4,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [7,3,4,5,8,2,6,1]=>[3,4,5,7,2,8,6,1]=>[1,6,8,2,7,5,4,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [4,8,6,1,7,5,2,3]=>[4,6,1,8,7,2,5,3]=>[3,5,2,7,8,1,6,4]=>[[1,2,4,5],[3,7],[6,8]]=>18 [4,7,8,2,6,1,5,3]=>[4,7,2,8,6,1,5,3]=>[3,5,1,6,8,2,7,4]=>[[1,2,4,5],[3,6,7],[8]]=>18 [7,6,4,2,8,3,5,1]=>[2,4,7,6,3,8,5,1]=>[1,5,8,3,6,7,4,2]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [8,6,4,2,7,5,3,1]=>[2,4,6,8,7,5,3,1]=>[1,3,5,7,8,6,4,2]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [8,4,7,3,6,5,1,2]=>[4,8,7,3,1,6,5,2]=>[2,5,6,1,3,7,8,4]=>[[1,2,3,6,7],[4,5,8]]=>22 [8,4,6,1,7,5,3,2]=>[1,8,4,6,7,5,3,2]=>[2,3,5,7,6,4,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>20 [6,4,7,1,8,3,2,5]=>[1,4,6,7,3,2,8,5]=>[5,8,2,3,7,6,4,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [6,2,1,7,3,5,4,8]=>[6,2,7,1,3,5,4,8]=>[8,4,5,3,1,7,2,6]=>[[1,3,6],[2,7,8],[4],[5]]=>10 [2,1,8,6,3,5,4,7]=>[2,8,6,1,5,3,4,7]=>[7,4,3,5,1,6,8,2]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [2,1,7,3,5,8,6,4]=>[2,5,7,8,6,1,3,4]=>[4,3,1,6,8,7,5,2]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [2,6,3,1,4,8,5,7]=>[2,3,6,1,8,4,5,7]=>[7,5,4,8,1,6,3,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>8 [4,2,1,8,3,6,7,5]=>[8,2,4,1,6,7,3,5]=>[5,3,7,6,1,4,2,8]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [6,2,1,7,3,5,8,4]=>[6,2,7,1,3,5,8,4]=>[4,8,5,3,1,7,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [2,7,3,1,4,8,5,6]=>[2,3,7,1,4,8,5,6]=>[6,5,8,4,1,7,3,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>9 [3,2,1,6,4,5,7,8]=>[3,6,2,1,4,5,7,8]=>[8,7,5,4,1,2,6,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [3,2,1,5,7,8,4,6]=>[3,7,8,2,5,1,4,6]=>[6,4,1,5,2,8,7,3]=>[[1,4,6],[2,5,7],[3,8]]=>8 [2,7,3,1,5,6,8,4]=>[2,3,5,7,6,8,1,4]=>[4,1,8,6,7,5,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [4,3,7,5,6,1,8,2]=>[7,4,3,5,1,6,8,2]=>[2,8,6,1,5,3,4,7]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [2,6,1,8,3,5,7,4]=>[6,8,2,1,5,7,3,4]=>[4,3,7,5,1,2,8,6]=>[[1,3,7],[2,4,8],[5,6]]=>11 [3,2,1,5,6,8,4,7]=>[3,8,2,5,6,1,4,7]=>[7,4,1,6,5,2,8,3]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [3,2,1,5,7,4,6,8]=>[3,7,2,5,1,4,6,8]=>[8,6,4,1,5,2,7,3]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [2,1,7,3,6,4,5,8]=>[7,2,1,6,3,4,5,8]=>[8,5,4,3,6,1,2,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [2,1,6,3,5,8,4,7]=>[2,6,8,5,1,3,4,7]=>[7,4,3,1,5,8,6,2]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [3,8,4,7,5,1,6,2]=>[3,8,4,1,7,5,6,2]=>[2,6,5,7,1,4,8,3]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [8,2,1,7,3,5,4,6]=>[2,8,1,5,3,4,7,6]=>[6,7,4,3,5,1,8,2]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [2,7,3,1,5,6,4,8]=>[2,3,5,7,6,1,4,8]=>[8,4,1,6,7,5,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [2,4,7,5,1,6,3,8]=>[4,7,5,2,6,1,3,8]=>[8,3,1,6,2,5,7,4]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [8,2,4,1,7,5,3,6]=>[8,4,2,5,1,3,7,6]=>[6,7,3,1,5,2,4,8]=>[[1,2,7,8],[3,5],[4,6]]=>14 [5,8,6,3,1,7,4,2]=>[1,5,3,8,6,7,4,2]=>[2,4,7,6,8,3,5,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [2,4,8,5,1,6,3,7]=>[4,5,2,8,6,1,3,7]=>[7,3,1,6,8,2,5,4]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [6,2,1,7,3,4,8,5]=>[6,2,1,3,4,7,8,5]=>[5,8,7,4,3,1,2,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [2,7,1,8,3,5,6,4]=>[2,7,1,8,5,6,3,4]=>[4,3,6,5,8,1,7,2]=>[[1,3,5],[2,4,7],[6,8]]=>12 [3,2,1,6,7,4,5,8]=>[3,6,7,2,1,4,5,8]=>[8,5,4,1,2,7,6,3]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [3,2,1,7,4,5,6,8]=>[7,3,2,1,4,5,6,8]=>[8,6,5,4,1,2,3,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [2,1,8,3,7,4,5,6]=>[2,1,8,3,7,4,5,6]=>[6,5,4,7,3,8,1,2]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [2,1,8,3,6,7,4,5]=>[2,8,6,1,7,3,4,5]=>[5,4,3,7,1,6,8,2]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [2,4,8,5,1,6,7,3]=>[4,5,2,8,6,7,1,3]=>[3,1,7,6,8,2,5,4]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [4,3,8,5,6,1,7,2]=>[4,3,8,5,1,6,7,2]=>[2,7,6,1,5,8,3,4]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [3,2,1,8,4,5,6,7]=>[3,2,1,8,4,5,6,7]=>[7,6,5,4,8,1,2,3]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [3,8,1,5,7,2,4,6]=>[8,3,1,7,2,5,4,6]=>[6,4,5,2,7,1,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [1,2,6,8,4,7,3,5]=>[8,1,6,7,4,2,3,5]=>[5,3,2,4,7,6,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [6,1,5,8,2,4,7,3]=>[6,5,1,8,2,4,7,3]=>[3,7,4,2,8,1,5,6]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [1,2,4,8,3,6,7,5]=>[4,6,8,7,1,2,3,5]=>[5,3,2,1,7,8,6,4]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [3,5,7,4,8,6,1,2]=>[7,5,8,3,4,1,6,2]=>[2,6,1,4,3,8,5,7]=>[[1,2,6,8],[3,4,7],[5]]=>16 [5,3,8,4,7,6,1,2]=>[5,8,3,7,4,1,6,2]=>[2,6,1,4,7,3,8,5]=>[[1,2,5,7],[3,4,8],[6]]=>18 [5,8,1,2,3,7,6,4]=>[8,1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [6,1,2,8,7,4,5,3]=>[8,6,1,7,2,4,5,3]=>[3,5,4,2,7,1,6,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [1,6,2,8,4,3,5,7]=>[1,2,6,8,4,3,5,7]=>[7,5,3,4,8,6,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [1,6,4,2,7,3,5,8]=>[6,4,1,2,7,3,5,8]=>[8,5,3,7,2,1,4,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [3,1,7,8,6,2,4,5]=>[7,1,8,6,3,2,4,5]=>[5,4,2,3,6,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [1,2,8,4,3,7,5,6]=>[8,7,1,2,4,3,5,6]=>[6,5,3,4,2,1,7,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>8 [5,3,8,7,4,6,1,2]=>[8,5,3,7,4,1,6,2]=>[2,6,1,4,7,3,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>19 [3,8,6,4,7,5,1,2]=>[3,6,8,7,4,1,5,2]=>[2,5,1,4,7,8,6,3]=>[[1,2,5,6],[3,4,7],[8]]=>19 [6,1,8,2,7,4,5,3]=>[8,6,1,2,7,4,5,3]=>[3,5,4,7,2,1,6,8]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [1,2,7,5,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>[8,4,3,2,6,7,5,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [1,2,6,3,7,5,4,8]=>[6,7,1,5,2,3,4,8]=>[8,4,3,2,5,1,7,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [3,7,4,8,6,5,1,2]=>[7,8,3,6,4,1,5,2]=>[2,5,1,4,6,3,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>18 [1,8,2,7,6,4,5,3]=>[1,8,7,6,4,5,2,3]=>[3,2,5,4,6,7,8,1]=>[[1,3,5,6,7],[2,4],[8]]=>15 [2,9,8,7,6,5,4,1,3]=>[9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>28 [2,8,7,6,5,1,4,3]=>[2,8,7,6,5,4,1,3]=>[3,1,4,5,6,7,8,2]=>[[1,3,4,5,6,7],[2,8]]=>20 [7,1,6,3,2,5,4,8]=>[1,7,3,6,2,5,4,8]=>[8,4,5,2,6,3,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [2,7,6,3,1,5,8,4]=>[2,3,7,6,5,8,1,4]=>[4,1,8,5,6,7,3,2]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [1,8,4,6,5,3,2,7]=>[8,4,6,5,1,3,2,7]=>[7,2,3,1,5,6,4,8]=>[[1,3,5,6,8],[2,7],[4]]=>14 [7,4,1,3,5,2,6,8]=>[4,1,3,5,2,7,6,8]=>[8,6,7,2,5,3,1,4]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [1,8,6,7,4,2,5,3]=>[1,6,4,8,7,5,2,3]=>[3,2,5,7,8,4,6,1]=>[[1,3,4,5],[2,6,7],[8]]=>17 [3,6,2,1,4,8,5,7]=>[3,2,6,1,8,4,5,7]=>[7,5,4,8,1,6,2,3]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [3,1,7,2,4,6,8,5]=>[1,3,7,6,8,2,4,5]=>[5,4,2,8,6,7,3,1]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [3,6,7,4,1,5,8,2]=>[6,3,1,7,4,5,8,2]=>[2,8,5,4,7,1,3,6]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [3,1,2,8,6,5,4,7]=>[8,3,6,1,5,2,4,7]=>[7,4,2,5,1,6,3,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [5,4,8,6,1,2,3,7]=>[1,8,5,4,2,6,3,7]=>[7,3,6,2,4,5,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [5,6,8,7,4,3,1,2]=>[8,5,6,1,7,4,3,2]=>[2,3,4,7,1,6,5,8]=>[[1,2,3,4,8],[5,6],[7]]=>22 [1,8,2,7,4,3,6,5]=>[1,8,2,7,4,6,3,5]=>[5,3,6,4,7,2,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [6,5,8,2,3,7,1,4]=>[2,6,5,8,3,1,7,4]=>[4,7,1,3,8,5,6,2]=>[[1,2,5,7],[3,4,6],[8]]=>18 [3,1,2,8,6,4,7,5]=>[3,1,8,6,7,2,4,5]=>[5,4,2,7,6,8,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [2,4,5,3,8,6,1,7]=>[8,4,5,2,3,6,1,7]=>[7,1,6,3,2,5,4,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [1,8,5,3,2,7,6,4]=>[5,8,1,3,7,6,2,4]=>[4,2,6,7,3,1,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>13 [4,1,2,7,6,5,8,3]=>[7,6,1,2,4,5,8,3]=>[3,8,5,4,2,1,6,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>10 [2,4,1,6,7,8,5,3]=>[4,6,7,8,2,5,1,3]=>[3,1,5,2,8,7,6,4]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [1,8,4,3,6,2,7,5]=>[1,8,4,6,3,7,2,5]=>[5,2,7,3,6,4,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [5,3,2,1,4,8,6,7]=>[3,2,5,1,8,4,6,7]=>[7,6,4,8,1,5,2,3]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [7,6,1,3,8,5,4,2]=>[7,1,6,8,3,5,4,2]=>[2,4,5,3,8,6,1,7]=>[[1,2,3,5,8],[4,6],[7]]=>18 [3,6,7,8,1,4,5,2]=>[6,3,7,1,8,4,5,2]=>[2,5,4,8,1,7,3,6]=>[[1,2,4],[3,6,8],[5,7]]=>16 [3,6,2,8,1,5,4,7]=>[6,3,2,8,5,1,4,7]=>[7,4,1,5,8,2,3,6]=>[[1,4,5,8],[2,6,7],[3]]=>12 [2,3,6,8,5,1,4,7]=>[8,6,5,2,3,1,4,7]=>[7,4,1,3,2,5,6,8]=>[[1,4,6,7,8],[2],[3],[5]]=>11 [7,3,5,8,4,6,1,2]=>[5,7,3,4,1,8,6,2]=>[2,6,8,1,4,3,7,5]=>[[1,2,3],[4,5,7],[6,8]]=>19 [1,8,5,2,4,6,3,7]=>[8,1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>11 [6,4,2,8,3,5,1,7]=>[4,2,6,3,8,5,1,7]=>[7,1,5,8,3,6,2,4]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [6,3,4,8,2,5,7,1]=>[6,3,4,2,8,5,7,1]=>[1,7,5,8,2,4,3,6]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [7,3,2,5,8,4,6,1]=>[3,5,7,2,4,8,6,1]=>[1,6,8,4,2,7,5,3]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [2,5,6,8,3,4,1,7]=>[8,5,2,6,3,4,1,7]=>[7,1,4,3,6,2,5,8]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [2,5,7,8,4,1,3,6]=>[7,8,5,4,2,1,3,6]=>[6,3,1,2,4,5,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>14 [6,5,7,8,4,1,3,2]=>[6,5,1,7,8,4,3,2]=>[2,3,4,8,7,1,5,6]=>[[1,2,3,4,8],[5,7],[6]]=>21 [4,3,2,6,8,5,1,7]=>[4,8,3,6,2,5,1,7]=>[7,1,5,2,6,3,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>12 [2,6,7,8,1,4,3,5]=>[6,2,1,7,8,4,3,5]=>[5,3,4,8,7,1,2,6]=>[[1,3,4],[2,5,8],[6,7]]=>14 [6,5,7,8,3,1,4,2]=>[6,5,1,7,3,8,4,2]=>[2,4,8,3,7,1,5,6]=>[[1,2,3,8],[4,5],[6,7]]=>20 [2,5,7,8,3,1,4,6]=>[7,2,8,5,3,1,4,6]=>[6,4,1,3,5,8,2,7]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [2,4,7,3,8,1,5,6]=>[7,8,2,4,3,1,5,6]=>[6,5,1,3,4,2,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [6,4,7,3,8,1,5,2]=>[4,6,3,1,7,8,5,2]=>[2,5,8,7,1,3,6,4]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [6,4,7,3,8,1,2,5]=>[4,6,3,1,7,2,8,5]=>[5,8,2,7,1,3,6,4]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [7,4,6,3,8,2,1,5]=>[7,4,3,6,2,1,8,5]=>[5,8,1,2,6,3,4,7]=>[[1,2,5,7,8],[3,4],[6]]=>19 [6,4,5,3,2,8,1,7]=>[4,6,5,3,8,2,1,7]=>[7,1,2,8,3,5,6,4]=>[[1,3,4,6,7],[2,5],[8]]=>16 [2,5,7,8,3,1,6,4]=>[7,2,8,5,3,6,1,4]=>[4,1,6,3,5,8,2,7]=>[[1,3,5,6],[2,4,8],[7]]=>14 [4,5,7,8,3,1,2,6]=>[7,8,4,1,5,3,2,6]=>[6,2,3,5,1,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>16 [4,5,6,8,2,3,1,7]=>[8,4,5,2,6,3,1,7]=>[7,1,3,6,2,5,4,8]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [5,4,6,2,8,3,1,7]=>[5,4,6,2,8,3,1,7]=>[7,1,3,8,2,6,4,5]=>[[1,3,4,8],[2,6],[5,7]]=>15 [5,3,2,6,8,4,1,7]=>[3,8,2,5,6,4,1,7]=>[7,1,4,6,5,2,8,3]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [4,5,7,8,2,1,3,6]=>[7,8,4,2,1,5,3,6]=>[6,3,5,1,2,4,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>15 [4,6,7,8,1,3,2,5]=>[6,1,7,8,4,3,2,5]=>[5,2,3,4,8,7,1,6]=>[[1,3,4,5],[2,6],[7,8]]=>16 [4,6,7,8,1,3,5,2]=>[6,7,4,1,8,3,5,2]=>[2,5,3,8,1,4,7,6]=>[[1,2,4,7],[3,6],[5,8]]=>17 [2,6,7,8,1,3,5,4]=>[6,2,1,7,8,5,3,4]=>[4,3,5,8,7,1,2,6]=>[[1,3,4],[2,5,8],[6,7]]=>14 [2,6,7,8,1,5,3,4]=>[6,2,7,1,8,5,3,4]=>[4,3,5,8,1,7,2,6]=>[[1,3,4],[2,6,8],[5,7]]=>15 [4,6,7,8,1,2,5,3]=>[6,1,7,4,8,2,5,3]=>[3,5,2,8,4,7,1,6]=>[[1,2,4],[3,5,6],[7,8]]=>16 [3,5,7,8,2,1,6,4]=>[7,8,5,3,2,6,1,4]=>[4,1,6,2,3,5,8,7]=>[[1,3,5,6,7],[2,4,8]]=>15 [3,6,7,8,1,2,5,4]=>[6,1,7,3,8,5,2,4]=>[4,2,5,8,3,7,1,6]=>[[1,3,4],[2,5,6],[7,8]]=>15 [3,6,7,8,1,5,2,4]=>[6,7,3,1,8,5,2,4]=>[4,2,5,8,1,3,7,6]=>[[1,3,4],[2,6,7],[5,8]]=>16 [3,6,7,8,1,5,4,2]=>[6,3,7,8,5,1,4,2]=>[2,4,1,5,8,7,3,6]=>[[1,2,4,5],[3,6,8],[7]]=>17 [2,6,7,8,1,5,4,3]=>[6,2,7,8,5,4,1,3]=>[3,1,4,5,8,7,2,6]=>[[1,3,4,5],[2,6,8],[7]]=>16 [4,2,8,6,1,5,3,7]=>[8,4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4,8]=>[[1,3,5,8],[2,6,7],[4]]=>13 [3,2,6,7,5,1,4,8]=>[6,7,3,5,2,1,4,8]=>[8,4,1,2,5,3,7,6]=>[[1,4,5,7],[2,6,8],[3]]=>11 [2,7,1,3,5,4,8,6]=>[2,7,1,3,5,8,4,6]=>[6,4,8,5,3,1,7,2]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [4,7,2,1,5,8,6,3]=>[4,7,2,8,1,5,6,3]=>[3,6,5,1,8,2,7,4]=>[[1,2,5],[3,6,7],[4,8]]=>13 [2,3,6,4,7,1,5,8]=>[2,6,7,3,4,1,5,8]=>[8,5,1,4,3,7,6,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [7,3,5,1,6,8,2,4]=>[7,3,1,5,6,2,8,4]=>[4,8,2,6,5,1,3,7]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [4,7,3,5,6,1,8,2]=>[4,3,7,5,1,6,8,2]=>[2,8,6,1,5,7,3,4]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [4,6,8,2,1,5,7,3]=>[6,4,8,2,1,5,7,3]=>[3,7,5,1,2,8,4,6]=>[[1,2,6,8],[3,5,7],[4]]=>15 [6,8,2,1,3,5,7,4]=>[2,6,1,3,8,5,7,4]=>[4,7,5,8,3,1,6,2]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [7,3,2,5,6,1,4,8]=>[7,3,2,5,1,6,4,8]=>[8,4,6,1,5,2,3,7]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [4,7,5,2,6,1,3,8]=>[4,2,7,5,1,6,3,8]=>[8,3,6,1,5,7,2,4]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [4,6,2,8,1,5,3,7]=>[6,4,2,8,1,5,3,7]=>[7,3,5,1,8,2,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>13 [8,4,1,2,7,5,3,6]=>[4,8,1,2,5,3,7,6]=>[6,7,3,5,2,1,8,4]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [4,5,6,2,7,1,3,8]=>[4,5,2,6,1,7,3,8]=>[8,3,7,1,6,2,5,4]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [8,5,1,2,6,3,4,7]=>[5,1,2,3,6,4,8,7]=>[7,8,4,6,3,2,1,5]=>[[1,2],[3,4],[5,8],[6],[7]]=>13 [6,2,1,7,8,5,3,4]=>[6,7,8,2,1,3,5,4]=>[4,5,3,1,2,8,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>14 [6,7,3,8,4,1,5,2]=>[3,6,1,7,4,8,5,2]=>[2,5,8,4,7,1,6,3]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [2,7,8,4,1,5,6,3]=>[4,2,7,5,8,6,1,3]=>[3,1,6,8,5,7,2,4]=>[[1,3,4],[2,5,6],[7,8]]=>15 [2,7,1,8,5,6,3,4]=>[7,2,8,5,1,6,3,4]=>[4,3,6,1,5,8,2,7]=>[[1,3,6],[2,5,8],[4,7]]=>14 [8,2,5,1,6,7,3,4]=>[8,2,1,5,6,3,7,4]=>[4,7,3,6,5,1,2,8]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [8,2,4,5,1,6,7,3]=>[2,4,1,5,8,6,7,3]=>[3,7,6,8,5,1,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [3,8,4,5,6,1,7,2]=>[3,4,5,1,8,6,7,2]=>[2,7,6,8,1,5,4,3]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [4,5,8,3,6,7,1,2]=>[4,8,5,3,6,1,7,2]=>[2,7,1,6,3,5,8,4]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [4,2,8,3,7,1,6,5]=>[4,2,8,7,3,6,1,5]=>[5,1,6,3,7,8,2,4]=>[[1,3,5,6],[2,4,8],[7]]=>14 [7,2,3,4,8,1,6,5]=>[7,2,3,4,8,1,6,5]=>[5,6,1,8,4,3,2,7]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [7,2,3,4,8,1,5,6]=>[7,2,3,4,1,5,8,6]=>[6,8,5,1,4,3,2,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [7,2,3,8,5,1,4,6]=>[7,5,2,3,1,4,8,6]=>[6,8,4,1,3,2,5,7]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [2,6,4,8,1,5,7,3]=>[6,4,2,8,5,7,1,3]=>[3,1,7,5,8,2,4,6]=>[[1,3,5,8],[2,4,7],[6]]=>13 [7,8,2,3,6,1,4,5]=>[7,2,3,1,4,8,6,5]=>[5,6,8,4,1,3,2,7]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [4,2,6,3,7,1,5,8]=>[4,2,6,7,3,1,5,8]=>[8,5,1,3,7,6,2,4]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [7,2,3,5,8,1,6,4]=>[2,7,3,5,8,1,6,4]=>[4,6,1,8,5,3,7,2]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [7,2,3,8,4,1,6,5]=>[2,7,3,4,8,1,6,5]=>[5,6,1,8,4,3,7,2]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [2,6,4,8,1,3,7,5]=>[8,6,2,1,4,7,3,5]=>[5,3,7,4,1,2,6,8]=>[[1,3,7,8],[2,4],[5,6]]=>12 [7,6,5,1,2,3,8,4]=>[1,2,3,7,6,5,8,4]=>[4,8,5,6,7,3,2,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>16 [2,6,4,5,1,8,7,3]=>[4,6,5,8,2,7,1,3]=>[3,1,7,2,8,5,6,4]=>[[1,3,5,7],[2,4,6],[8]]=>12 [7,8,5,4,1,2,6,3]=>[1,2,7,5,4,8,6,3]=>[3,6,8,4,5,7,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [3,5,6,4,1,2,8,7]=>[5,6,3,1,4,8,2,7]=>[7,2,8,4,1,3,6,5]=>[[1,3,7],[2,4,8],[5,6]]=>11 [7,6,5,1,4,2,3,8]=>[1,7,2,6,5,4,3,8]=>[8,3,4,5,6,2,7,1]=>[[1,3,4,5,7],[2],[6],[8]]=>17 [7,6,5,1,2,4,3,8]=>[7,1,2,6,5,4,3,8]=>[8,3,4,5,6,2,1,7]=>[[1,3,4,5,8],[2],[6],[7]]=>16 [7,6,5,1,2,4,8,3]=>[7,1,2,6,5,4,8,3]=>[3,8,4,5,6,2,1,7]=>[[1,2,4,5,8],[3],[6],[7]]=>17 [7,6,5,1,3,2,4,8]=>[3,1,2,7,6,5,4,8]=>[8,4,5,6,7,2,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [7,2,3,4,5,1,8,6]=>[2,3,4,5,1,7,8,6]=>[6,8,7,1,5,4,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>11 [2,6,4,3,1,5,8,7]=>[6,2,4,3,8,1,5,7]=>[7,5,1,8,3,4,2,6]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [2,6,4,3,1,8,5,7]=>[6,2,4,8,3,1,5,7]=>[7,5,1,3,8,4,2,6]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [2,6,4,3,1,8,7,5]=>[6,2,4,8,3,7,1,5]=>[5,1,7,3,8,4,2,6]=>[[1,3,5,8],[2,4,6],[7]]=>11 [3,5,8,4,1,2,7,6]=>[8,3,1,5,4,7,2,6]=>[6,2,7,4,5,1,3,8]=>[[1,3,5,8],[2,4],[6,7]]=>13 [4,2,8,3,6,1,7,5]=>[2,4,8,6,3,7,1,5]=>[5,1,7,3,6,8,4,2]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [3,5,8,4,1,6,7,2]=>[8,3,1,5,4,6,7,2]=>[2,7,6,4,5,1,3,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [2,5,8,4,1,7,3,6]=>[5,4,8,7,2,1,3,6]=>[6,3,1,2,7,8,4,5]=>[[1,4,5,6],[2,7,8],[3]]=>13 [3,6,4,2,1,7,5,8]=>[3,6,4,2,7,1,5,8]=>[8,5,1,7,2,4,6,3]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [3,5,6,4,1,8,7,2]=>[5,6,3,8,1,4,7,2]=>[2,7,4,1,8,3,6,5]=>[[1,2,5],[3,6,7],[4,8]]=>13 [2,6,4,5,1,3,7,8]=>[4,6,5,2,1,3,7,8]=>[8,7,3,1,2,5,6,4]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [7,6,5,1,4,3,8,2]=>[7,6,1,5,4,3,8,2]=>[2,8,3,4,5,1,6,7]=>[[1,2,4,5,7,8],[3],[6]]=>19 [7,6,5,1,8,3,2,4]=>[7,6,1,5,3,2,8,4]=>[4,8,2,3,5,1,6,7]=>[[1,2,5,7,8],[3,4],[6]]=>19 [2,5,6,4,1,7,8,3]=>[5,6,4,2,7,8,1,3]=>[3,1,8,7,2,4,6,5]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [7,8,5,4,1,6,3,2]=>[7,1,5,4,8,6,3,2]=>[2,3,6,8,4,5,1,7]=>[[1,2,3,4,8],[5,6],[7]]=>22 [7,8,6,2,1,3,5,4]=>[2,1,3,7,8,6,5,4]=>[4,5,6,8,7,3,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [2,6,5,3,1,4,8,7]=>[2,6,5,3,8,1,4,7]=>[7,4,1,8,3,5,6,2]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [3,6,1,4,2,5,8,7]=>[1,3,6,4,8,2,5,7]=>[7,5,2,8,4,6,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [2,6,4,5,7,8,1,3]=>[4,6,5,7,8,2,1,3]=>[3,1,2,8,7,5,6,4]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [8,7,1,6,5,2,4,3]=>[8,1,7,6,2,5,4,3]=>[3,4,5,2,6,7,1,8]=>[[1,2,3,5,6,8],[4],[7]]=>21 [7,2,5,6,8,1,3,4]=>[5,7,6,2,1,3,8,4]=>[4,8,3,1,2,6,7,5]=>[[1,2,6,7],[3,5],[4,8]]=>16 [8,4,1,6,5,7,3,2]=>[8,1,4,6,5,7,3,2]=>[2,3,7,5,6,4,1,8]=>[[1,2,3,5,8],[4],[6],[7]]=>18 [6,8,2,7,4,3,5,1]=>[2,6,8,4,3,7,5,1]=>[1,5,7,3,4,8,6,2]=>[[1,2,3,6],[4,5,7],[8]]=>20 [8,2,6,4,7,3,5,1]=>[2,8,4,6,3,7,5,1]=>[1,5,7,3,6,4,8,2]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [8,7,3,2,1,5,4,6]=>[3,2,5,1,4,8,7,6]=>[6,7,8,4,1,5,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>17 [3,8,5,1,7,2,4,6]=>[3,1,8,5,2,7,4,6]=>[6,4,7,2,5,8,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [2,5,1,8,7,4,6,3]=>[8,5,2,7,4,6,1,3]=>[3,1,6,4,7,2,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>13 [3,7,1,8,4,5,6,2]=>[7,3,1,8,4,5,6,2]=>[2,6,5,4,8,1,3,7]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [8,6,4,3,1,7,2,5]=>[1,4,3,6,2,8,7,5]=>[5,7,8,2,6,3,4,1]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [2,3,5,8,6,7,4,1]=>[5,8,6,7,2,3,4,1]=>[1,4,3,2,7,6,8,5]=>[[1,2,5,7],[3,6],[4,8]]=>13 [7,4,2,1,8,6,5,3]=>[2,7,8,1,4,6,5,3]=>[3,5,6,4,1,8,7,2]=>[[1,2,3,6],[4,7],[5,8]]=>16 [4,6,7,2,5,8,3,1]=>[6,4,7,2,5,8,3,1]=>[1,3,8,5,2,7,4,6]=>[[1,2,3,6],[4,7,8],[5]]=>17 [7,6,2,5,3,8,1,4]=>[2,7,3,6,5,1,8,4]=>[4,8,1,5,6,3,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [6,2,1,3,4,8,7,5]=>[2,8,1,3,4,6,7,5]=>[5,7,6,4,3,1,8,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [6,5,4,2,8,3,1,7]=>[6,5,4,2,8,3,1,7]=>[7,1,3,8,2,4,5,6]=>[[1,3,4,7,8],[2,6],[5]]=>17 [6,4,5,8,3,1,2,7]=>[4,6,1,8,5,3,2,7]=>[7,2,3,5,8,1,6,4]=>[[1,3,4,5],[2,7],[6,8]]=>17 [7,4,6,8,5,1,2,3]=>[7,4,1,6,2,8,5,3]=>[3,5,8,2,6,1,4,7]=>[[1,2,3,8],[4,5],[6,7]]=>20 [2,1,4,8,7,5,3,6]=>[2,8,7,4,5,1,3,6]=>[6,3,1,5,4,7,8,2]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [2,1,6,8,3,7,5,4]=>[6,8,2,7,5,1,3,4]=>[4,3,1,5,7,2,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>11 [3,6,8,2,4,1,5,7]=>[3,2,8,6,4,1,5,7]=>[7,5,1,4,6,8,2,3]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [6,2,8,1,7,5,4,3]=>[8,2,6,7,5,1,4,3]=>[3,4,1,5,7,6,2,8]=>[[1,2,4,5,8],[3,6],[7]]=>17 [8,4,3,2,5,1,7,6]=>[4,3,2,5,8,1,7,6]=>[6,7,1,8,5,2,3,4]=>[[1,2,4,8],[3,5,7],[6]]=>15 [4,2,8,1,5,3,6,7]=>[2,1,4,8,5,3,6,7]=>[7,6,3,5,8,4,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [5,1,8,2,6,4,3,7]=>[8,1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>12 [2,8,5,3,6,7,1,4]=>[2,5,6,8,7,3,1,4]=>[4,1,3,7,8,6,5,2]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [7,8,5,6,4,1,3,2]=>[1,7,5,8,6,4,3,2]=>[2,3,4,6,8,5,7,1]=>[[1,2,3,4,5],[6,7],[8]]=>24 [4,8,1,3,5,7,6,2]=>[1,4,8,7,3,5,6,2]=>[2,6,5,3,7,8,4,1]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [3,8,1,4,5,6,2,7]=>[1,3,4,5,8,6,2,7]=>[7,2,6,8,5,4,3,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>11 [7,6,8,3,5,1,4,2]=>[3,1,7,6,8,5,4,2]=>[2,4,5,8,6,7,1,3]=>[[1,2,3,4,6],[5,8],[7]]=>22 [7,8,6,3,5,1,4,2]=>[3,1,7,8,6,5,4,2]=>[2,4,5,6,8,7,1,3]=>[[1,2,3,4,5],[6,8],[7]]=>23 [5,3,8,7,6,1,4,2]=>[3,8,5,7,1,6,4,2]=>[2,4,6,1,7,5,8,3]=>[[1,2,3,5,7],[4,6],[8]]=>19 [6,7,4,2,5,3,1,8]=>[2,6,4,7,5,3,1,8]=>[8,1,3,5,7,4,6,2]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [7,4,8,5,6,1,3,2]=>[7,4,1,5,8,6,3,2]=>[2,3,6,8,5,1,4,7]=>[[1,2,3,4],[5,7,8],[6]]=>21 [7,4,2,5,6,3,1,8]=>[2,4,5,7,6,3,1,8]=>[8,1,3,6,7,5,4,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>15 [3,7,2,5,6,4,1,8]=>[3,5,7,6,2,4,1,8]=>[8,1,4,2,6,7,5,3]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [7,8,3,5,6,1,4,2]=>[7,3,1,5,8,6,4,2]=>[2,4,6,8,5,1,3,7]=>[[1,2,3,4],[5,7,8],[6]]=>21 [1,6,8,5,2,7,4,3]=>[6,1,8,5,7,4,2,3]=>[3,2,4,7,5,8,1,6]=>[[1,3,4,6],[2,5,8],[7]]=>15 [6,2,8,5,1,7,4,3]=>[2,8,6,5,7,1,4,3]=>[3,4,1,7,5,6,8,2]=>[[1,2,4,6,7],[3,5],[8]]=>17 [6,7,4,8,2,1,5,3]=>[6,4,2,1,7,8,5,3]=>[3,5,8,7,1,2,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>19 [6,8,4,1,2,3,7,5]=>[1,2,6,4,8,3,7,5]=>[5,7,3,8,4,6,2,1]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [6,1,8,5,3,7,4,2]=>[1,8,6,5,7,3,4,2]=>[2,4,3,7,5,6,8,1]=>[[1,2,4,6,7],[3,5],[8]]=>17 [3,8,1,5,2,7,6,4]=>[3,8,1,5,7,6,2,4]=>[4,2,6,7,5,1,8,3]=>[[1,3,4,7],[2,5],[6,8]]=>13 [8,2,1,5,3,7,6,4]=>[2,8,1,7,3,5,6,4]=>[4,6,5,3,7,1,8,2]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [4,1,5,3,6,7,8,2]=>[4,5,1,3,6,7,8,2]=>[2,8,7,6,3,1,5,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [3,2,6,4,1,7,8,5]=>[6,3,2,4,7,8,1,5]=>[5,1,8,7,4,2,3,6]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [7,6,4,3,1,2,8,5]=>[1,4,3,2,7,6,8,5]=>[5,8,6,7,2,3,4,1]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [4,5,3,1,6,7,8,2]=>[4,1,5,3,6,7,8,2]=>[2,8,7,6,3,5,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [3,5,2,1,6,7,8,4]=>[5,3,2,6,7,8,1,4]=>[4,1,8,7,6,2,3,5]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [5,2,3,1,6,7,8,4]=>[2,3,1,5,6,7,8,4]=>[4,8,7,6,5,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>9 [1,5,3,2,6,7,8,4]=>[5,1,3,6,7,8,2,4]=>[4,2,8,7,6,3,1,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [8,4,6,5,1,7,2,3]=>[4,6,1,5,2,8,7,3]=>[3,7,8,2,5,1,6,4]=>[[1,2,3],[4,5,7],[6,8]]=>19 [3,2,5,6,1,7,8,4]=>[3,5,6,2,7,8,1,4]=>[4,1,8,7,2,6,5,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [3,2,8,7,6,1,4,5]=>[8,7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>15 [6,8,4,7,2,1,3,5]=>[6,2,1,8,4,3,7,5]=>[5,7,3,4,8,1,2,6]=>[[1,2,5],[3,4,8],[6,7]]=>19 [3,8,7,5,6,1,2,4]=>[5,1,8,7,6,3,2,4]=>[4,2,3,6,7,8,1,5]=>[[1,3,4,5,6],[2,8],[7]]=>19 [8,2,7,5,6,1,3,4]=>[8,2,1,7,5,3,6,4]=>[4,6,3,5,7,1,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>19 [4,8,6,5,1,7,3,2]=>[4,8,1,6,5,7,3,2]=>[2,3,7,5,6,1,8,4]=>[[1,2,3,5,7],[4,8],[6]]=>19 [1,7,4,6,2,3,8,5]=>[1,7,6,2,4,8,3,5]=>[5,3,8,4,2,6,7,1]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [7,6,4,2,1,5,8,3]=>[2,1,4,7,6,5,8,3]=>[3,8,5,6,7,4,1,2]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [5,7,4,6,1,3,8,2]=>[1,7,5,4,6,3,8,2]=>[2,8,3,6,4,5,7,1]=>[[1,2,4,6,7],[3],[5],[8]]=>17 [8,6,4,7,3,1,2,5]=>[4,1,6,3,2,8,7,5]=>[5,7,8,2,3,6,1,4]=>[[1,2,3],[4,5,6],[7,8]]=>21 [1,7,4,2,3,6,8,5]=>[1,2,7,4,6,8,3,5]=>[5,3,8,6,4,7,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [1,8,2,5,3,7,6,4]=>[8,1,2,7,5,6,3,4]=>[4,3,6,5,7,2,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [8,2,1,5,6,4,3,7]=>[5,6,2,4,1,3,8,7]=>[7,8,3,1,4,2,6,5]=>[[1,2,7],[3,5,8],[4,6]]=>13 [3,8,1,5,6,4,2,7]=>[1,8,3,5,6,4,2,7]=>[7,2,4,6,5,3,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>13 [6,8,4,1,2,5,3,7]=>[1,2,4,8,6,5,3,7]=>[7,3,5,6,8,4,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>15 [3,2,8,1,6,5,4,7]=>[3,8,2,6,5,1,4,7]=>[7,4,1,5,6,2,8,3]=>[[1,4,5,7],[2,6,8],[3]]=>11 [3,2,6,1,5,7,8,4]=>[6,3,2,5,7,8,1,4]=>[4,1,8,7,5,2,3,6]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [7,6,4,1,5,2,8,3]=>[4,1,2,7,6,5,8,3]=>[3,8,5,6,7,2,1,4]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [5,4,1,3,6,7,8,2]=>[5,1,4,3,6,7,8,2]=>[2,8,7,6,3,4,1,5]=>[[1,2,6,8],[3],[4],[5],[7]]=>11 [7,5,4,1,3,2,8,6]=>[5,1,4,3,2,7,8,6]=>[6,8,7,2,3,4,1,5]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [3,2,5,1,4,7,8,6]=>[3,5,2,7,8,1,4,6]=>[6,4,1,8,7,2,5,3]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [7,1,4,3,5,2,8,6]=>[4,3,5,1,2,7,8,6]=>[6,8,7,2,1,5,3,4]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [8,1,3,5,4,7,2,6]=>[5,8,3,4,1,2,7,6]=>[6,7,2,1,4,3,8,5]=>[[1,2,7],[3,5,8],[4,6]]=>13 [5,1,3,4,6,7,8,2]=>[1,5,3,4,6,7,8,2]=>[2,8,7,6,4,3,5,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>9 [3,1,8,2,5,7,4,6]=>[8,1,3,7,5,2,4,6]=>[6,4,2,5,7,3,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [8,3,2,6,1,4,7,5]=>[3,2,1,8,4,6,7,5]=>[5,7,6,4,8,1,2,3]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [2,8,1,6,4,3,7,5]=>[2,8,1,6,4,7,3,5]=>[5,3,7,4,6,1,8,2]=>[[1,3,5,7],[2,4],[6,8]]=>12 [2,7,1,5,8,4,6,3]=>[5,7,2,4,8,6,1,3]=>[3,1,6,8,4,2,7,5]=>[[1,3,4],[2,5,7],[6,8]]=>13 [2,7,1,6,4,8,3,5]=>[2,7,6,8,1,4,3,5]=>[5,3,4,1,8,6,7,2]=>[[1,3,5,7],[2,6],[4,8]]=>12 [2,7,1,6,5,3,8,4]=>[7,6,2,1,5,8,3,4]=>[4,3,8,5,1,2,6,7]=>[[1,3,7,8],[2,4],[5,6]]=>12 [2,8,1,7,6,5,4,3]=>[8,7,6,2,5,4,1,3]=>[3,1,4,5,2,6,7,8]=>[[1,3,4,6,7,8],[2,5]]=>17 [8,3,2,7,1,6,5,4]=>[3,8,7,2,6,1,5,4]=>[4,5,1,6,2,7,8,3]=>[[1,2,4,6,7],[3,5,8]]=>17 [3,7,1,8,6,5,4,2]=>[7,8,6,3,5,1,4,2]=>[2,4,1,5,3,6,8,7]=>[[1,2,4,6,7],[3,5,8]]=>17 [3,7,6,1,4,2,5,8]=>[1,3,7,6,4,2,5,8]=>[8,5,2,4,6,7,3,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>12 [3,7,5,1,4,6,8,2]=>[3,7,1,5,4,6,8,2]=>[2,8,6,4,5,1,7,3]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [3,6,8,5,1,4,7,2]=>[3,8,6,5,1,4,7,2]=>[2,7,4,1,5,6,8,3]=>[[1,2,5,6,7],[3,8],[4]]=>16 [7,3,5,8,2,1,4,6]=>[5,7,3,2,1,4,8,6]=>[6,8,4,1,2,3,7,5]=>[[1,2,6,7],[3,5],[4,8]]=>16 [7,3,6,2,1,4,5,8]=>[3,2,1,7,4,6,5,8]=>[8,5,6,4,7,1,2,3]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [7,3,6,2,1,5,4,8]=>[3,2,7,6,1,5,4,8]=>[8,4,5,1,6,7,2,3]=>[[1,3,5,6],[2,7,8],[4]]=>14 [7,4,2,8,1,6,5,3]=>[2,4,7,8,1,6,5,3]=>[3,5,6,1,8,7,4,2]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [7,5,2,6,3,1,4,8]=>[5,2,3,1,7,6,4,8]=>[8,4,6,7,1,3,2,5]=>[[1,3,4],[2,6,8],[5],[7]]=>15 [4,6,8,5,1,7,3,2]=>[6,8,4,1,5,7,3,2]=>[2,3,7,5,1,4,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>18 [5,1,7,6,4,2,8,3]=>[7,5,1,6,2,4,8,3]=>[3,8,4,2,6,1,5,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [8,5,2,1,7,6,4,3]=>[2,8,7,1,5,6,4,3]=>[3,4,6,5,1,7,8,2]=>[[1,2,3,6,7],[4,8],[5]]=>18 [5,1,8,6,3,2,7,4]=>[8,5,1,3,2,6,7,4]=>[4,7,6,2,3,1,5,8]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [3,6,1,7,4,8,2,5]=>[3,1,6,7,8,4,2,5]=>[5,2,4,8,7,6,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [4,1,8,6,3,7,2,5]=>[8,4,1,6,7,3,2,5]=>[5,2,3,7,6,1,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>14 [3,4,6,8,5,7,1,2]=>[8,6,3,4,5,1,7,2]=>[2,7,1,5,4,3,6,8]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [5,4,8,2,7,3,6,1]=>[8,5,4,2,7,3,6,1]=>[1,6,3,7,2,4,5,8]=>[[1,2,4,7,8],[3,6],[5]]=>18 [5,4,8,7,3,6,1,2]=>[8,5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5,8]=>[[1,2,5,6,8],[3,4,7]]=>20 [6,4,3,8,7,1,2,5]=>[4,8,3,1,6,2,7,5]=>[5,7,2,6,1,3,8,4]=>[[1,2,7],[3,4,8],[5,6]]=>17 [5,7,4,2,8,1,3,6]=>[7,5,4,2,1,8,3,6]=>[6,3,8,1,2,4,5,7]=>[[1,3,6,7,8],[2,5],[4]]=>16 [6,5,2,7,1,3,8,4]=>[6,2,1,5,3,7,8,4]=>[4,8,7,3,5,1,2,6]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [8,6,5,4,2,1,7,3]=>[2,1,6,5,4,8,7,3]=>[3,7,8,4,5,6,1,2]=>[[1,2,3,6],[4,5],[7,8]]=>21 [6,4,7,3,1,8,2,5]=>[4,1,6,3,7,2,8,5]=>[5,8,2,7,3,6,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [5,7,4,3,8,6,1,2]=>[7,5,4,8,3,1,6,2]=>[2,6,1,3,8,4,5,7]=>[[1,2,5,7,8],[3,4,6]]=>19 [7,5,8,4,6,3,2,1]=>[5,7,4,8,6,3,2,1]=>[1,2,3,6,8,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>24 [7,6,4,8,3,5,2,1]=>[4,7,6,3,8,5,2,1]=>[1,2,5,8,3,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>23 [7,6,5,3,8,2,4,1]=>[3,7,6,5,2,8,4,1]=>[1,4,8,2,5,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>22 [6,5,4,3,2,1,9,8,7]=>[6,5,4,3,9,2,8,1,7]=>[7,1,8,2,9,3,4,5,6]=>[[1,3,5,7,8,9],[2,4,6]]=>18 [5,4,3,2,1,9,8,7,6]=>[5,4,9,3,8,2,7,1,6]=>[6,1,7,2,8,3,9,4,5]=>[[1,3,5,7,9],[2,4,6,8]]=>16 [4,3,2,1,8,7,6,5,9]=>[4,8,3,7,2,6,1,5,9]=>[9,5,1,6,2,7,3,8,4]=>[[1,4,6,8],[2,5,7,9],[3]]=>12 [7,6,5,4,3,2,1,10,9,8]=>[7,6,5,4,3,10,2,9,1,8]=>[8,1,9,2,10,3,4,5,6,7]=>[[1,3,5,7,8,9,10],[2,4,6]]=>24 [7,6,5,4,3,2,1,9,8,10]=>[7,6,5,4,3,2,9,1,8,10]=>[10,8,1,9,2,3,4,5,6,7]=>[[1,4,6,7,8,9,10],[2,5],[3]]=>22 [3,2,1,6,5,4,9,8,7,10]=>[3,6,9,2,5,8,1,4,7,10]=>[10,7,4,1,8,5,2,9,6,3]=>[[1,5,8],[2,6,9],[3,7,10],[4]]=>9 [7,4,8,6,3,1,5,2]=>[7,1,8,4,3,6,5,2]=>[2,5,6,3,4,8,1,7]=>[[1,2,3,6],[4,5,8],[7]]=>21 [4,2,7,6,5,3,1,8]=>[7,6,2,4,5,3,1,8]=>[8,1,3,5,4,2,6,7]=>[[1,3,4,7,8],[2],[5],[6]]=>14 [8,1,3,4,5,2,6,7]=>[3,4,5,1,2,6,8,7]=>[7,8,6,2,1,5,4,3]=>[[1,2],[3,6],[4,7],[5],[8]]=>10 [1,6,8,4,2,5,3,7]=>[1,4,8,6,5,2,3,7]=>[7,3,2,5,6,8,4,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [6,2,8,4,1,5,7,3]=>[2,1,8,6,4,5,7,3]=>[3,7,5,4,6,8,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [6,7,4,8,5,1,2,3]=>[6,4,1,7,2,8,5,3]=>[3,5,8,2,7,1,4,6]=>[[1,2,3],[4,5,8],[6,7]]=>20 [3,2,8,1,5,4,6,7]=>[3,2,8,1,5,4,6,7]=>[7,6,4,5,1,8,2,3]=>[[1,4,6],[2,7,8],[3],[5]]=>9 [6,1,4,8,5,3,7,2]=>[6,4,8,5,1,3,7,2]=>[2,7,3,1,5,8,4,6]=>[[1,2,5,6],[3,7,8],[4]]=>15 [1,4,8,5,2,6,7,3]=>[4,1,5,8,6,7,2,3]=>[3,2,7,6,8,5,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [6,1,8,4,3,7,2,5]=>[6,4,8,3,1,2,7,5]=>[5,7,2,1,3,8,4,6]=>[[1,2,6,8],[3,5,7],[4]]=>15 [3,7,1,4,2,5,8,6]=>[1,3,4,2,7,8,5,6]=>[6,5,8,7,2,4,3,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>9 [7,2,1,4,3,5,6,8]=>[2,4,1,3,5,7,6,8]=>[8,6,7,5,3,1,4,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>8 [4,1,5,3,6,8,2,7]=>[4,5,8,1,3,6,2,7]=>[7,2,6,3,1,8,5,4]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [6,1,8,5,3,2,7,4]=>[8,1,6,3,2,5,7,4]=>[4,7,5,2,3,6,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [7,1,4,6,3,8,5,2]=>[7,6,1,4,8,3,5,2]=>[2,5,3,8,4,1,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>15 [3,5,2,1,8,7,6,4]=>[5,8,3,7,2,6,1,4]=>[4,1,6,2,7,3,8,5]=>[[1,3,5,7],[2,4,6,8]]=>12 [5,4,2,1,7,8,6,3]=>[2,1,5,7,8,4,6,3]=>[3,6,4,8,7,5,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [8,2,7,6,5,1,3,4]=>[2,1,8,7,6,3,5,4]=>[4,5,3,6,7,8,1,2]=>[[1,2,4,5,6],[3,8],[7]]=>20 [8,6,2,7,1,4,5,3]=>[2,8,1,6,4,7,5,3]=>[3,5,7,4,6,1,8,2]=>[[1,2,3,7],[4,5],[6,8]]=>19 [5,2,3,4,7,1,8,6]=>[2,3,5,7,4,8,1,6]=>[6,1,8,4,7,5,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [6,7,3,1,5,4,2,8]=>[1,3,6,7,5,4,2,8]=>[8,2,4,5,7,6,3,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>15 [5,8,3,1,2,4,7,6]=>[1,3,2,5,8,7,4,6]=>[6,4,7,8,5,2,3,1]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [8,1,3,2,4,5,6,7]=>[3,1,2,4,5,6,8,7]=>[7,8,6,5,4,2,1,3]=>[[1,2],[3,8],[4],[5],[6],[7]]=>8 [8,2,1,6,5,4,7,3]=>[8,2,6,5,1,4,7,3]=>[3,7,4,1,5,6,2,8]=>[[1,2,5,6,8],[3,7],[4]]=>15 [3,8,1,5,6,4,7,2]=>[3,5,8,6,1,4,7,2]=>[2,7,4,1,6,8,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [6,8,4,1,2,5,7,3]=>[1,2,4,8,6,5,7,3]=>[3,7,5,6,8,4,2,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>16 [3,2,8,1,6,5,7,4]=>[3,8,2,6,5,7,1,4]=>[4,1,7,5,6,2,8,3]=>[[1,3,5,7],[2,4,8],[6]]=>12 [3,5,1,4,6,7,2,8]=>[3,5,1,4,6,7,2,8]=>[8,2,7,6,4,1,5,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [5,4,1,3,6,2,8,7]=>[5,1,4,3,6,8,2,7]=>[7,2,8,6,3,4,1,5]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [8,5,4,1,3,6,2,7]=>[5,1,4,3,6,2,8,7]=>[7,8,2,6,3,4,1,5]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [3,2,5,1,4,6,8,7]=>[3,5,2,8,1,4,6,7]=>[7,6,4,1,8,2,5,3]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [8,1,4,3,5,6,7,2]=>[4,1,3,5,8,6,7,2]=>[2,7,6,8,5,3,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [4,1,3,2,5,7,6,8]=>[4,1,3,7,2,5,6,8]=>[8,6,5,2,7,3,1,4]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [3,1,2,5,4,7,6,9,8]=>[1,3,5,7,9,2,4,6,8]=>[8,6,4,2,9,7,5,3,1]=>[[1,5],[2,6],[3,7],[4,8],[9]]=>5 [6,8,2,4,5,1,3,7]=>[2,8,4,1,6,5,3,7]=>[7,3,5,6,1,4,8,2]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [3,6,7,2,5,1,4,8]=>[6,3,7,5,2,1,4,8]=>[8,4,1,2,5,7,3,6]=>[[1,4,5,6],[2,7,8],[3]]=>13 [6,8,1,3,5,2,7,4]=>[6,3,1,2,8,5,7,4]=>[4,7,5,8,2,1,3,6]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [6,8,3,1,4,5,7,2]=>[1,3,4,8,6,5,7,2]=>[2,7,5,6,8,4,3,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>16 [6,1,8,2,3,4,7,5]=>[1,2,6,8,3,4,7,5]=>[5,7,4,3,8,6,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [2,6,3,4,7,5,8,1]=>[2,3,6,7,4,5,8,1]=>[1,8,5,4,7,6,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [3,6,4,2,7,5,8,1]=>[3,6,4,7,2,5,8,1]=>[1,8,5,2,7,4,6,3]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [4,5,2,7,1,6,8,3]=>[4,2,5,7,1,6,8,3]=>[3,8,6,1,7,5,2,4]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [4,1,2,8,5,7,3,6]=>[8,4,7,1,2,5,3,6]=>[6,3,5,2,1,7,4,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [5,1,4,8,6,2,7,3]=>[8,5,4,1,2,6,7,3]=>[3,7,6,2,1,4,5,8]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [6,4,2,8,7,1,5,3]=>[2,4,6,8,1,7,5,3]=>[3,5,7,1,8,6,4,2]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [7,2,4,8,1,5,3,6]=>[7,4,2,5,1,3,8,6]=>[6,8,3,1,5,2,4,7]=>[[1,2,7,8],[3,5],[4,6]]=>14 [7,1,3,8,5,2,4,6]=>[7,5,3,1,2,4,8,6]=>[6,8,4,2,1,3,5,7]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [3,2,6,7,1,8,4,5]=>[6,7,3,8,2,1,4,5]=>[5,4,1,2,8,3,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>11 [4,6,3,1,7,8,5,2]=>[1,6,4,7,8,3,5,2]=>[2,5,3,8,7,4,6,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [5,3,1,6,7,8,4,2]=>[1,3,5,6,7,8,4,2]=>[2,4,8,7,6,5,3,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>13 [4,1,6,2,7,8,5,3]=>[4,6,7,8,1,2,5,3]=>[3,5,2,1,8,7,6,4]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [2,1,3,4,8,7,5,6]=>[8,7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [8,9,6,7,5,4,3,2,1]=>[8,6,9,7,5,4,3,2,1]=>[1,2,3,4,5,7,9,6,8]=>[[1,2,3,4,5,6,7],[8,9]]=>34 [9,10,7,8,6,5,4,3,2,1]=>[9,7,10,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,10,7,9]=>[[1,2,3,4,5,6,7,8],[9,10]]=>43 [6,3,8,7,5,4,1,2]=>[8,6,7,3,1,5,4,2]=>[2,4,5,1,3,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>21 [5,3,8,7,6,4,1,2]=>[8,7,3,5,1,6,4,2]=>[2,4,6,1,5,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>20 [2,8,7,6,1,5,4,3]=>[8,2,7,6,5,4,1,3]=>[3,1,4,5,6,7,2,8]=>[[1,3,4,5,6,8],[2,7]]=>19 [6,2,8,7,5,1,4,3]=>[8,6,2,7,5,1,4,3]=>[3,4,1,5,7,2,6,8]=>[[1,2,4,5,8],[3,6,7]]=>19 [6,1,8,7,5,4,3,2]=>[8,6,7,5,4,1,3,2]=>[2,3,1,4,5,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>20 [3,1,8,7,6,5,4,2]=>[8,7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>17 [7,8,2,6,1,5,4,3]=>[2,7,8,6,1,5,4,3]=>[3,4,5,1,6,8,7,2]=>[[1,2,3,5,6],[4,7],[8]]=>20 [6,2,8,7,1,5,4,3]=>[6,8,2,7,5,1,4,3]=>[3,4,1,5,7,2,8,6]=>[[1,2,4,5,7],[3,6,8]]=>18 [4,2,8,1,7,6,5,3]=>[8,7,2,4,6,1,5,3]=>[3,5,1,6,4,2,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>15 [4,8,2,7,6,1,5,3]=>[8,7,4,2,6,1,5,3]=>[3,5,1,6,2,4,7,8]=>[[1,2,4,7,8],[3,5,6]]=>18 [3,8,7,2,1,6,5,4]=>[3,8,2,7,6,5,1,4]=>[4,1,5,6,7,2,8,3]=>[[1,3,4,5,7],[2,6,8]]=>17 [6,5,8,7,1,4,3,2]=>[1,6,8,5,7,4,3,2]=>[2,3,4,7,5,8,6,1]=>[[1,2,3,4,6],[5,7],[8]]=>21 [4,8,1,7,6,5,3,2]=>[8,7,6,1,4,5,3,2]=>[2,3,5,4,1,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>19 [6,4,8,1,7,5,3,2]=>[8,1,4,6,7,5,3,2]=>[2,3,5,7,6,4,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>19 [7,8,4,1,6,5,3,2]=>[1,7,8,4,6,5,3,2]=>[2,3,5,6,4,8,7,1]=>[[1,2,3,4,6],[5,7],[8]]=>21 [6,3,8,1,7,5,4,2]=>[8,3,6,7,1,5,4,2]=>[2,4,5,1,7,6,3,8]=>[[1,2,3,5,8],[4,6],[7]]=>18 [5,3,1,8,7,6,4,2]=>[8,7,1,3,5,6,4,2]=>[2,4,6,5,3,1,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>16 [7,8,2,1,6,5,4,3]=>[7,8,2,6,1,5,4,3]=>[3,4,5,1,6,2,8,7]=>[[1,2,3,5,7],[4,6,8]]=>19 [6,4,3,1,8,7,5,2]=>[1,4,8,3,6,7,5,2]=>[2,5,7,6,3,8,4,1]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [7,5,2,1,8,6,4,3]=>[7,2,8,1,5,6,4,3]=>[3,4,6,5,1,8,2,7]=>[[1,2,3,6],[4,7,8],[5]]=>17 [5,4,2,1,8,7,6,3]=>[2,8,1,5,7,4,6,3]=>[3,6,4,7,5,1,8,2]=>[[1,2,4,7],[3,5],[6,8]]=>14 [7,3,2,1,8,6,5,4]=>[3,7,8,2,6,1,5,4]=>[4,5,1,6,2,8,7,3]=>[[1,2,4,6],[3,5,7],[8]]=>15 [6,3,2,1,8,7,5,4]=>[3,8,2,6,7,1,5,4]=>[4,5,1,7,6,2,8,3]=>[[1,2,4,7],[3,5,8],[6]]=>14 [6,1,4,2,3,5,8,7]=>[1,4,2,3,6,8,5,7]=>[7,5,8,6,3,2,4,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>8 [8,1,4,2,3,6,5,7]=>[1,4,6,2,3,5,8,7]=>[7,8,5,3,2,6,4,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>10 [4,1,8,2,3,6,5,7]=>[1,2,4,8,6,3,5,7]=>[7,5,3,6,8,4,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [8,2,3,6,1,4,5,7]=>[2,6,3,1,4,5,8,7]=>[7,8,5,4,1,3,6,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [6,2,3,8,1,4,5,7]=>[2,6,3,1,4,8,5,7]=>[7,5,8,4,1,3,6,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [4,6,2,3,8,1,5,7]=>[6,4,2,8,3,1,5,7]=>[7,5,1,3,8,2,4,6]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [4,8,2,3,6,1,5,7]=>[2,4,8,3,1,6,5,7]=>[7,5,6,1,3,8,4,2]=>[[1,3,6],[2,5,7],[4],[8]]=>13 [8,2,3,6,4,1,5,7]=>[2,6,3,4,1,5,8,7]=>[7,8,5,1,4,3,6,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [6,4,2,3,8,1,5,7]=>[2,4,6,3,1,8,5,7]=>[7,5,8,1,3,6,4,2]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [2,6,3,8,4,1,5,7]=>[2,6,3,8,4,1,5,7]=>[7,5,1,4,8,3,6,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [6,3,8,4,2,1,5,7]=>[3,6,4,2,1,8,5,7]=>[7,5,8,1,2,4,6,3]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [2,6,3,8,1,4,5,7]=>[2,6,3,1,8,4,5,7]=>[7,5,4,8,1,3,6,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [2,8,3,6,1,4,5,7]=>[2,8,3,1,4,6,5,7]=>[7,5,6,4,1,3,8,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [2,8,3,6,4,1,5,7]=>[2,8,3,4,1,6,5,7]=>[7,5,6,1,4,3,8,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [8,3,6,2,4,1,5,7]=>[3,2,6,4,1,5,8,7]=>[7,8,5,1,4,6,2,3]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [8,3,6,2,1,4,5,7]=>[3,2,1,6,4,5,8,7]=>[7,8,5,4,6,1,2,3]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [8,2,1,3,6,4,5,7]=>[6,2,1,3,4,5,8,7]=>[7,8,5,4,3,1,2,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [1,6,4,2,7,5,8,3]=>[1,4,6,7,5,8,2,3]=>[3,2,8,5,7,6,4,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [3,6,4,2,7,1,5,8]=>[3,6,4,7,2,1,5,8]=>[8,5,1,2,7,4,6,3]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [1,4,7,2,5,6,8,3]=>[7,4,1,5,6,8,2,3]=>[3,2,8,6,5,1,4,7]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [1,6,5,4,2,7,8,3]=>[1,6,5,4,7,8,2,3]=>[3,2,8,7,4,5,6,1]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [4,2,5,3,6,1,7,8]=>[2,4,5,3,6,1,7,8]=>[8,7,1,6,3,5,4,2]=>[[1,4,6],[2],[3],[5],[7],[8]]=>8 [1,6,5,2,4,8,7,3]=>[6,1,5,8,4,7,2,3]=>[3,2,7,4,8,5,1,6]=>[[1,3,5,8],[2,4,6],[7]]=>11 [6,1,3,5,8,2,7,4]=>[6,3,5,8,1,2,7,4]=>[4,7,2,1,8,5,3,6]=>[[1,2,5],[3,6,8],[4,7]]=>12 [1,2,8,5,7,3,6,4]=>[5,8,1,7,6,2,3,4]=>[4,3,2,6,7,1,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [1,8,2,5,4,7,6,3]=>[1,8,5,7,4,6,2,3]=>[3,2,6,4,7,5,8,1]=>[[1,3,5,7],[2,4,6],[8]]=>12 [7,1,2,4,5,8,6,3]=>[1,2,7,8,4,5,6,3]=>[3,6,5,4,8,7,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [1,2,7,3,5,8,6,4]=>[1,7,8,5,6,2,3,4]=>[4,3,2,6,5,8,7,1]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [4,6,3,7,1,2,8,5]=>[6,4,1,7,3,8,2,5]=>[5,2,8,3,7,1,4,6]=>[[1,3,5,8],[2,4],[6,7]]=>13 [4,2,1,3,5,7,8,6]=>[2,1,4,7,8,3,5,6]=>[6,5,3,8,7,4,1,2]=>[[1,4],[2,5],[3,6],[7,8]]=>6 [7,3,2,4,5,1,8,6]=>[3,2,4,5,1,7,8,6]=>[6,8,7,1,5,4,2,3]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [3,8,2,5,4,1,7,6]=>[3,5,2,4,8,7,1,6]=>[6,1,7,8,4,2,5,3]=>[[1,3,4],[2,5,7],[6,8]]=>13 [6,4,3,5,2,8,1,7]=>[4,3,6,5,8,2,1,7]=>[7,1,2,8,5,6,3,4]=>[[1,3,4,6],[2,5],[7,8]]=>15 [6,5,3,8,4,2,1,7]=>[6,5,3,8,4,2,1,7]=>[7,1,2,4,8,3,5,6]=>[[1,3,4,5,8],[2,7],[6]]=>18 [6,7,8,9,1,10,2,3,4,5]=>[1,6,7,2,8,3,9,4,10,5]=>[5,10,4,9,3,8,2,7,6,1]=>[[1,2],[3,4],[5,6],[7,8],[9],[10]]=>24 [3,8,1,7,5,6,4,2]=>[3,8,7,5,6,1,4,2]=>[2,4,1,6,5,7,8,3]=>[[1,2,4,6,7],[3,5],[8]]=>17 [8,2,5,7,3,6,4,1]=>[2,8,5,7,3,6,4,1]=>[1,4,6,3,7,5,8,2]=>[[1,2,3,5,7],[4,6],[8]]=>19 [1,8,6,7,5,3,4,2]=>[6,3,8,7,5,4,1,2]=>[2,1,4,5,7,8,3,6]=>[[1,3,4,5,6],[2,7,8]]=>19 [8,2,6,7,5,3,4,1]=>[6,2,8,7,3,5,4,1]=>[1,4,5,3,7,8,2,6]=>[[1,2,3,5,6],[4,8],[7]]=>21 [5,4,8,6,2,3,7,1]=>[8,5,4,2,6,3,7,1]=>[1,7,3,6,2,4,5,8]=>[[1,2,4,7,8],[3,6],[5]]=>18 [4,1,3,6,5,8,7,2]=>[4,6,8,1,3,5,7,2]=>[2,7,5,3,1,8,6,4]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [2,1,6,3,5,8,7,4]=>[2,6,8,5,7,1,3,4]=>[4,3,1,7,5,8,6,2]=>[[1,4,6],[2,5,7],[3,8]]=>8 [2,4,1,3,8,5,7,6]=>[8,4,2,7,1,3,5,6]=>[6,5,3,1,7,2,4,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [2,4,1,3,5,8,7,6]=>[4,8,2,7,1,3,5,6]=>[6,5,3,1,7,2,8,4]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [2,6,1,3,5,8,7,4]=>[2,6,8,1,5,7,3,4]=>[4,3,7,5,1,8,6,2]=>[[1,3,6],[2,4,7],[5,8]]=>9 [6,1,4,3,5,8,7,2]=>[6,1,4,8,3,5,7,2]=>[2,7,5,3,8,4,1,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [6,2,1,3,5,8,7,4]=>[2,6,8,1,3,5,7,4]=>[4,7,5,3,1,8,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [4,2,1,3,6,5,7,8]=>[2,1,4,6,3,5,7,8]=>[8,7,5,3,6,4,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>5 [6,2,1,8,3,5,7,4]=>[6,8,2,1,3,5,7,4]=>[4,7,5,3,1,2,8,6]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [6,2,1,3,8,5,7,4]=>[8,2,6,1,3,5,7,4]=>[4,7,5,3,1,6,2,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [1,6,4,3,8,5,7,2]=>[4,6,3,8,5,7,1,2]=>[2,1,7,5,8,3,6,4]=>[[1,3,5],[2,4,7],[6,8]]=>12 [8,2,1,4,3,5,7,6]=>[2,4,8,1,3,5,7,6]=>[6,7,5,3,1,8,4,2]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [6,2,1,4,3,5,7,8]=>[2,4,1,3,6,5,7,8]=>[8,7,5,6,3,1,4,2]=>[[1,4],[2,7],[3,8],[5],[6]]=>7 [8,2,6,1,3,5,7,4]=>[2,8,1,3,6,5,7,4]=>[4,7,5,6,3,1,8,2]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [1,8,4,6,3,5,7,2]=>[6,4,3,5,8,7,1,2]=>[2,1,7,8,5,3,4,6]=>[[1,3,4,8],[2,5,7],[6]]=>14 [1,6,4,8,3,5,7,2]=>[6,4,3,8,5,7,1,2]=>[2,1,7,5,8,3,4,6]=>[[1,3,5,8],[2,4,7],[6]]=>13 [6,4,8,1,3,5,7,2]=>[4,1,6,3,8,5,7,2]=>[2,7,5,8,3,6,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [6,2,8,1,3,5,7,4]=>[2,6,1,8,3,5,7,4]=>[4,7,5,3,8,1,6,2]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [4,2,8,1,3,5,7,6]=>[2,1,4,8,7,3,5,6]=>[6,5,3,7,8,4,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [2,1,6,8,3,5,7,4]=>[2,8,6,5,7,1,3,4]=>[4,3,1,7,5,6,8,2]=>[[1,4,6,7],[2,5],[3,8]]=>10 [2,1,8,3,6,5,7,4]=>[6,2,5,8,7,1,3,4]=>[4,3,1,7,8,5,2,6]=>[[1,4,5],[2,6,8],[3,7]]=>10 [2,1,6,4,3,5,7,8]=>[2,6,4,1,3,5,7,8]=>[8,7,5,3,1,4,6,2]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [2,6,1,4,3,5,7,8]=>[2,6,1,4,3,5,7,8]=>[8,7,5,3,4,1,6,2]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [2,8,1,4,3,5,7,6]=>[2,4,8,1,3,7,5,6]=>[6,5,7,3,1,8,4,2]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [2,8,1,6,3,5,7,4]=>[2,8,1,6,5,7,3,4]=>[4,3,7,5,6,1,8,2]=>[[1,3,5,7],[2,4],[6,8]]=>12 [1,4,8,3,6,5,7,2]=>[4,8,3,6,5,7,1,2]=>[2,1,7,5,6,3,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>12 [4,8,6,1,3,5,7,2]=>[4,1,8,3,6,5,7,2]=>[2,7,5,6,3,8,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [2,8,6,1,3,5,7,4]=>[2,6,1,5,8,7,3,4]=>[4,3,7,8,5,1,6,2]=>[[1,3,4],[2,5,7],[6,8]]=>13 [2,6,4,1,3,5,7,8]=>[6,2,1,4,3,5,7,8]=>[8,7,5,3,4,1,2,6]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [6,8,1,4,3,5,7,2]=>[6,1,4,3,8,5,7,2]=>[2,7,5,8,3,4,1,6]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [1,6,8,4,3,5,7,2]=>[4,3,8,6,5,7,1,2]=>[2,1,7,5,6,8,3,4]=>[[1,3,5,6],[2,4,8],[7]]=>14 [8,1,6,4,3,5,7,2]=>[8,1,4,3,6,5,7,2]=>[2,7,5,6,3,4,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [8,4,2,1,3,5,7,6]=>[2,1,4,8,3,5,7,6]=>[6,7,5,3,8,4,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [7,8,6,5,2,1,4,3]=>[2,1,7,8,6,5,4,3]=>[3,4,5,6,8,7,1,2]=>[[1,2,3,4,5],[6,8],[7]]=>23 [5,6,4,2,8,3,7,1]=>[5,6,4,2,8,3,7,1]=>[1,7,3,8,2,4,6,5]=>[[1,2,4,7],[3,6],[5,8]]=>17 [5,7,1,4,6,3,2,8]=>[7,5,1,4,6,3,2,8]=>[8,2,3,6,4,1,5,7]=>[[1,3,4,7,8],[2],[5],[6]]=>14 [5,8,1,4,6,3,7,2]=>[5,1,8,4,6,3,7,2]=>[2,7,3,6,4,8,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [3,6,7,4,5,8,2,1]=>[6,3,7,4,5,8,2,1]=>[1,2,8,5,4,7,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [3,5,7,4,6,8,2,1]=>[7,5,3,4,6,8,2,1]=>[1,2,8,6,4,3,5,7]=>[[1,2,3,7,8],[4],[5],[6]]=>16 [6,8,4,1,7,2,5,3]=>[6,1,4,8,2,7,5,3]=>[3,5,7,2,8,4,1,6]=>[[1,2,3,5],[4,6,8],[7]]=>18 [3,6,8,4,5,7,2,1]=>[3,8,6,4,5,7,2,1]=>[1,2,7,5,4,6,8,3]=>[[1,2,3,6,7],[4],[5],[8]]=>18 [6,7,1,4,5,3,2,8]=>[6,1,7,4,5,3,2,8]=>[8,2,3,5,4,7,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [3,7,1,5,4,6,2,8]=>[3,7,5,1,4,6,2,8]=>[8,2,6,4,1,5,7,3]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [3,8,1,5,4,6,7,2]=>[3,8,1,5,4,6,7,2]=>[2,7,6,4,5,1,8,3]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [3,7,1,5,4,6,8,2]=>[3,7,5,1,4,6,8,2]=>[2,8,6,4,1,5,7,3]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [5,7,1,4,6,3,8,2]=>[7,5,1,4,6,3,8,2]=>[2,8,3,6,4,1,5,7]=>[[1,2,4,7,8],[3],[5],[6]]=>15 [5,6,4,2,7,3,8,1]=>[5,2,6,4,7,3,8,1]=>[1,8,3,7,4,6,2,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [5,4,7,2,8,3,6,1]=>[5,7,4,2,8,3,6,1]=>[1,6,3,8,2,4,7,5]=>[[1,2,4,7],[3,6],[5,8]]=>17 [5,6,4,2,8,3,1,7]=>[5,6,4,2,8,3,1,7]=>[7,1,3,8,2,4,6,5]=>[[1,3,4,7],[2,6],[5,8]]=>16 [3,8,1,5,4,6,2,7]=>[5,1,3,4,8,6,2,7]=>[7,2,6,8,4,3,1,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [3,6,1,5,4,2,7,8]=>[6,3,5,1,4,2,7,8]=>[8,7,2,4,1,5,3,6]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [3,6,1,5,4,8,2,7]=>[6,3,5,8,1,4,2,7]=>[7,2,4,1,8,5,3,6]=>[[1,3,5,8],[2,6],[4,7]]=>11 [6,4,7,2,8,5,1,3]=>[4,2,6,7,1,8,5,3]=>[3,5,8,1,7,6,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [5,8,1,4,7,3,2,6]=>[5,8,7,1,4,3,2,6]=>[6,2,3,4,1,7,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>16 [7,8,1,4,5,3,2,6]=>[4,7,5,1,3,2,8,6]=>[6,8,2,3,1,5,7,4]=>[[1,2,6,7],[3,4],[5,8]]=>17 [3,6,1,5,4,7,2,8]=>[6,3,5,1,4,7,2,8]=>[8,2,7,4,1,5,3,6]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [6,7,3,1,4,2,5,8]=>[1,3,6,4,2,7,5,8]=>[8,5,7,2,4,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>13 [6,8,3,1,4,2,7,5]=>[1,3,6,4,8,2,7,5]=>[5,7,2,8,4,6,3,1]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [6,5,8,7,3,4,2,1]=>[6,8,5,3,7,4,2,1]=>[1,2,4,7,3,5,8,6]=>[[1,2,3,4,7],[5,6,8]]=>23 [3,7,1,5,4,2,6,8]=>[7,1,3,5,4,2,6,8]=>[8,6,2,4,5,3,1,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>10 [3,8,1,5,4,2,7,6]=>[5,1,3,4,8,7,2,6]=>[6,2,7,8,4,3,1,5]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [5,8,1,4,7,3,6,2]=>[8,1,5,7,4,3,6,2]=>[2,6,3,4,7,5,1,8]=>[[1,2,4,5,8],[3,6],[7]]=>17 [6,8,4,2,7,5,3,1]=>[2,6,8,4,7,5,3,1]=>[1,3,5,7,4,8,6,2]=>[[1,2,3,4,6],[5,7],[8]]=>21 [6,4,7,2,8,5,3,1]=>[4,2,6,7,8,5,3,1]=>[1,3,5,8,7,6,2,4]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [6,3,7,1,4,8,5,2]=>[3,6,1,4,7,8,5,2]=>[2,5,8,7,4,1,6,3]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [6,8,3,1,4,7,5,2]=>[1,3,6,8,4,7,5,2]=>[2,5,7,4,8,6,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [3,7,1,5,4,8,6,2]=>[3,7,5,8,1,4,6,2]=>[2,6,4,1,8,5,7,3]=>[[1,2,5,7],[3,6],[4,8]]=>13 [3,4,1,2,8,5,7,6]=>[3,4,8,1,7,2,5,6]=>[6,5,2,7,1,8,4,3]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [3,4,1,2,5,8,7,6]=>[3,8,1,4,7,2,5,6]=>[6,5,2,7,4,1,8,3]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [3,7,1,5,4,2,8,6]=>[7,1,3,5,4,8,2,6]=>[6,2,8,4,5,3,1,7]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [6,7,3,1,4,5,8,2]=>[1,3,6,4,7,5,8,2]=>[2,8,5,7,4,6,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [7,3,8,1,4,5,6,2]=>[7,3,1,4,5,8,6,2]=>[2,6,8,5,4,1,3,7]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [9,8,7,6,5,4,2,1,3]=>[2,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,2]=>[[1,2,3,4,5,6,7],[8,9]]=>34 [9,8,7,6,5,3,2,1,4]=>[3,2,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,2,3]=>[[1,2,3,4,5,6],[7,8,9]]=>33 [8,7,6,3,5,2,1,4]=>[8,3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3,8]=>[[1,2,3,4,8],[5,6,7]]=>24 [9,8,7,6,4,3,2,1,5]=>[4,3,2,1,9,8,7,6,5]=>[5,6,7,8,9,1,2,3,4]=>[[1,2,3,4,5],[6,7,8,9]]=>32 [8,7,4,6,3,2,1,5]=>[8,4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4,8]=>[[1,2,3,7,8],[4,5,6]]=>23 [9,8,7,5,4,3,2,1,6]=>[5,4,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,4,5]=>[[1,2,3,4,9],[5,6,7,8]]=>31 [8,5,7,4,3,2,1,6]=>[8,5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5,8]=>[[1,2,5,6,7,8],[3,4]]=>22 [9,8,6,5,4,3,2,1,7]=>[6,5,4,3,2,1,9,8,7]=>[7,8,9,1,2,3,4,5,6]=>[[1,2,3,7,8,9],[4,5,6]]=>30 [9,7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7]=>[[1,2,5,6,7,8,9],[3,4]]=>29 [10,9,8,7,6,5,4,2,1,3]=>[2,1,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,1,2]=>[[1,2,3,4,5,6,7,8],[9,10]]=>43 [10,9,8,7,6,5,3,2,1,4]=>[3,2,1,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,1,2,3]=>[[1,2,3,4,5,6,7],[8,9,10]]=>42 [10,9,8,7,6,4,3,2,1,5]=>[4,3,2,1,10,9,8,7,6,5]=>[5,6,7,8,9,10,1,2,3,4]=>[[1,2,3,4,5,6],[7,8,9,10]]=>41 [8,7,6,2,5,4,1,3]=>[8,7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7,8]=>[[1,2,3,4,7,8],[5,6]]=>24 [9,8,7,4,6,3,2,1,5]=>[9,4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4,9]=>[[1,2,3,4,9],[5,6,7,8]]=>31 [10,9,8,7,5,4,3,2,1,6]=>[5,4,3,2,1,10,9,8,7,6]=>[6,7,8,9,10,1,2,3,4,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>40 [8,5,4,7,3,2,1,6]=>[5,8,4,3,2,1,7,6]=>[6,7,1,2,3,4,8,5]=>[[1,2,5,6,7],[3,4,8]]=>21 [8,7,3,6,5,2,1,4]=>[8,7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7,8]=>[[1,2,3,7,8],[4,5,6]]=>23 [9,8,5,7,4,3,2,1,6]=>[9,5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5,9]=>[[1,2,3,7,8,9],[4,5,6]]=>30 [10,9,8,6,5,4,3,2,1,7]=>[6,5,4,3,2,1,10,9,8,7]=>[7,8,9,10,1,2,3,4,5,6]=>[[1,2,3,4,9,10],[5,6,7,8]]=>39 [6,5,8,4,3,2,1,7]=>[6,8,5,4,3,2,1,7]=>[7,1,2,3,4,5,8,6]=>[[1,3,4,5,6,7],[2,8]]=>20 [9,6,8,5,4,3,2,1,7]=>[9,6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6,9]=>[[1,2,5,6,7,8,9],[3,4]]=>29 [10,9,7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,10,9,8]=>[8,9,10,1,2,3,4,5,6,7]=>[[1,2,3,7,8,9,10],[4,5,6]]=>38 [5,8,7,4,3,2,1,6]=>[8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8]=>[[1,3,4,5,6,7,8],[2]]=>21 [10,8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,10,9]=>[9,10,1,2,3,4,5,6,7,8]=>[[1,2,5,6,7,8,9,10],[3,4]]=>37 [4,5,2,7,3,1,8,6]=>[4,5,2,7,3,8,1,6]=>[6,1,8,3,7,2,5,4]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [4,8,2,6,3,5,7,1]=>[4,2,8,3,6,5,7,1]=>[1,7,5,6,3,8,2,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [4,3,7,8,6,5,1,2]=>[7,8,4,6,3,1,5,2]=>[2,5,1,3,6,4,8,7]=>[[1,2,5,7],[3,4,6,8]]=>18 [4,1,7,2,5,8,6,3]=>[7,4,8,1,2,5,6,3]=>[3,6,5,2,1,8,4,7]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [7,8,2,1,5,6,4,3]=>[7,8,2,1,5,6,4,3]=>[3,4,6,5,1,2,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>18 [7,3,1,6,8,5,2,4]=>[7,3,6,1,8,2,5,4]=>[4,5,2,8,1,6,3,7]=>[[1,2,4,8],[3,6],[5,7]]=>16 [1,5,8,6,2,3,7,4]=>[1,5,2,8,6,7,3,4]=>[4,3,7,6,8,2,5,1]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [2,4,8,3,1,6,5,7]=>[4,2,3,8,6,1,5,7]=>[7,5,1,6,8,3,2,4]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [5,2,7,1,8,6,3,4]=>[5,7,8,2,1,3,6,4]=>[4,6,3,1,2,8,7,5]=>[[1,2,6],[3,5,7],[4,8]]=>14 [6,5,2,8,1,7,3,4]=>[6,2,5,1,8,3,7,4]=>[4,7,3,8,1,5,2,6]=>[[1,2,4],[3,6,8],[5,7]]=>16 [2,8,3,5,1,7,4,6]=>[2,8,3,5,1,7,4,6]=>[6,4,7,1,5,3,8,2]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [5,4,3,8,7,1,6,2]=>[5,8,4,3,7,1,6,2]=>[2,6,1,7,3,4,8,5]=>[[1,2,4,7],[3,5,6,8]]=>17 [8,5,4,3,7,2,6,1]=>[5,4,8,3,2,7,6,1]=>[1,6,7,2,3,8,4,5]=>[[1,2,3,6,8],[4,5,7]]=>21 [6,3,2,8,4,1,7,5]=>[3,6,2,4,8,1,7,5]=>[5,7,1,8,4,2,6,3]=>[[1,2,4],[3,5,7],[6,8]]=>14 [2,8,3,4,1,7,5,6]=>[8,2,3,4,1,7,5,6]=>[6,5,7,1,4,3,2,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [5,4,2,8,3,1,7,6]=>[5,2,8,4,3,7,1,6]=>[6,1,7,3,4,8,2,5]=>[[1,3,5,6],[2,4,8],[7]]=>14 [2,8,4,3,1,7,6,5]=>[4,8,2,3,7,6,1,5]=>[5,1,6,7,3,2,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>13 [2,8,5,3,1,7,6,4]=>[2,5,8,3,7,6,1,4]=>[4,1,6,7,3,8,5,2]=>[[1,3,4,6],[2,5,7],[8]]=>14 [3,8,7,5,1,6,4,2]=>[3,5,8,7,6,1,4,2]=>[2,4,1,6,7,8,5,3]=>[[1,2,4,5,6],[3,7],[8]]=>19 [8,4,7,6,2,5,3,1]=>[4,8,7,2,6,5,3,1]=>[1,3,5,6,2,7,8,4]=>[[1,2,3,4,6,7],[5,8]]=>23 [7,4,8,6,2,1,5,3]=>[7,4,2,8,1,6,5,3]=>[3,5,6,1,8,2,4,7]=>[[1,2,3,5],[4,6,7,8]]=>20 [7,5,4,3,8,2,1,6]=>[5,4,3,7,2,1,8,6]=>[6,8,1,2,7,3,4,5]=>[[1,2,5,7,8],[3,4],[6]]=>19 [4,7,8,6,1,2,5,3]=>[1,7,4,8,6,2,5,3]=>[3,5,2,6,8,4,7,1]=>[[1,2,4,5],[3,6,7],[8]]=>18 [5,7,8,6,1,2,4,3]=>[1,7,5,8,2,6,4,3]=>[3,4,6,2,8,5,7,1]=>[[1,2,3,5],[4,6,7],[8]]=>19 [7,5,8,6,2,1,4,3]=>[5,2,1,7,8,6,4,3]=>[3,4,6,8,7,1,2,5]=>[[1,2,3,4],[5,7,8],[6]]=>21 [2,3,8,4,1,6,7,5]=>[2,3,4,8,6,7,1,5]=>[5,1,7,6,8,4,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [2,3,8,5,1,6,7,4]=>[5,2,3,8,6,7,1,4]=>[4,1,7,6,8,3,2,5]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [8,6,4,7,3,2,5,1]=>[4,6,3,2,8,7,5,1]=>[1,5,7,8,2,3,6,4]=>[[1,2,3,4],[5,6,7],[8]]=>23 [8,3,4,7,2,5,6,1]=>[3,8,4,2,5,7,6,1]=>[1,6,7,5,2,4,8,3]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [2,4,8,6,1,5,7,3]=>[8,4,2,6,5,7,1,3]=>[3,1,7,5,6,2,4,8]=>[[1,3,5,8],[2,4,7],[6]]=>13 [8,4,6,7,2,3,5,1]=>[4,2,8,6,3,7,5,1]=>[1,5,7,3,6,8,2,4]=>[[1,2,3,6],[4,5],[7,8]]=>21 [2,6,8,5,1,3,7,4]=>[2,1,8,6,5,7,3,4]=>[4,3,7,5,6,8,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>14 [5,6,8,7,1,3,4,2]=>[5,6,1,8,3,7,4,2]=>[2,4,7,3,8,1,6,5]=>[[1,2,3,5],[4,7],[6,8]]=>19 [7,4,6,8,2,1,3,5]=>[7,4,2,1,6,3,8,5]=>[5,8,3,6,1,2,4,7]=>[[1,2,7,8],[3,4],[5,6]]=>18 [2,3,5,4,1,8,6,7]=>[5,8,2,3,4,1,6,7]=>[7,6,1,4,3,2,8,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [1,8,4,6,3,5,2,7]=>[8,6,1,4,3,5,2,7]=>[7,2,5,3,4,1,6,8]=>[[1,3,5,7,8],[2],[4],[6]]=>13 [5,4,8,6,2,1,3,7]=>[8,5,4,2,1,6,3,7]=>[7,3,6,1,2,4,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>16 [2,3,6,8,1,5,4,7]=>[2,8,6,3,5,1,4,7]=>[7,4,1,5,3,6,8,2]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [2,5,6,1,4,7,3,8]=>[5,2,6,4,7,1,3,8]=>[8,3,1,7,4,6,2,5]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [2,7,6,1,8,5,4,3]=>[7,2,6,8,5,4,1,3]=>[3,1,4,5,8,6,2,7]=>[[1,3,4,5,8],[2,6],[7]]=>16 [1,8,7,6,3,2,5,4]=>[1,8,3,7,6,5,2,4]=>[4,2,5,6,7,3,8,1]=>[[1,3,4,5,7],[2,6],[8]]=>17 [1,8,7,6,3,2,4,5]=>[3,1,2,8,7,6,4,5]=>[5,4,6,7,8,2,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [6,3,5,1,7,2,4,8]=>[3,6,1,5,2,7,4,8]=>[8,4,7,2,5,1,6,3]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [7,3,5,8,4,1,2,6]=>[5,7,3,1,4,2,8,6]=>[6,8,2,4,1,3,7,5]=>[[1,2,7],[3,4,8],[5,6]]=>17 [1,8,4,5,2,7,3,6]=>[1,8,4,5,2,7,3,6]=>[6,3,7,2,5,4,8,1]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [7,3,5,8,4,1,6,2]=>[5,7,3,1,4,8,6,2]=>[2,6,8,4,1,3,7,5]=>[[1,2,3],[4,6,7],[5,8]]=>18 [6,3,5,4,7,1,8,2]=>[6,3,5,4,1,7,8,2]=>[2,8,7,1,4,5,3,6]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [1,8,4,3,6,2,5,7]=>[4,8,3,1,2,6,5,7]=>[7,5,6,2,1,3,8,4]=>[[1,3,7],[2,6,8],[4],[5]]=>11 [3,7,1,6,8,5,4,2]=>[7,6,8,3,5,1,4,2]=>[2,4,1,5,3,8,6,7]=>[[1,2,4,6,8],[3,5,7]]=>16 [6,3,5,4,7,2,1,8]=>[6,3,5,4,7,2,1,8]=>[8,1,2,7,4,5,3,6]=>[[1,3,4,6,8],[2],[5],[7]]=>15 [1,8,4,5,2,6,3,7]=>[4,1,2,8,5,6,3,7]=>[7,3,6,5,8,2,1,4]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [6,4,8,5,3,1,2,7]=>[6,4,1,8,5,3,2,7]=>[7,2,3,5,8,1,4,6]=>[[1,3,4,5],[2,7,8],[6]]=>18 [7,3,5,8,4,6,2,1]=>[5,7,3,4,8,6,2,1]=>[1,2,6,8,4,3,7,5]=>[[1,2,3,4],[5,7],[6,8]]=>20 [2,3,4,6,5,8,1,7]=>[6,8,2,3,4,5,1,7]=>[7,1,5,4,3,2,8,6]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [2,3,4,7,1,6,5,8]=>[2,7,3,4,6,1,5,8]=>[8,5,1,6,4,3,7,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [1,8,4,5,2,3,6,7]=>[4,1,5,2,3,8,6,7]=>[7,6,8,3,2,5,1,4]=>[[1,3],[2,6],[4,8],[5],[7]]=>10 [7,4,8,5,3,2,6,1]=>[7,4,5,3,2,8,6,1]=>[1,6,8,2,3,5,4,7]=>[[1,2,3,6,8],[4,5],[7]]=>21 [5,2,4,6,8,3,7,1]=>[5,8,2,4,6,3,7,1]=>[1,7,3,6,4,2,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [1,5,7,4,6,3,2,8]=>[7,5,4,6,3,1,2,8]=>[8,2,1,3,6,4,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>12 [5,2,8,4,6,3,7,1]=>[5,2,8,4,6,3,7,1]=>[1,7,3,6,4,8,2,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [3,8,5,4,6,7,2,1]=>[5,3,4,8,6,7,2,1]=>[1,2,7,6,8,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [6,8,3,4,5,7,2,1]=>[3,4,8,6,5,7,2,1]=>[1,2,7,5,6,8,4,3]=>[[1,2,3,5,6],[4],[7],[8]]=>20 [2,5,7,4,6,3,8,1]=>[7,5,4,6,2,3,8,1]=>[1,8,3,2,6,4,5,7]=>[[1,2,5,7,8],[3,6],[4]]=>14 [5,4,1,7,8,3,2,6]=>[5,4,1,7,8,3,2,6]=>[6,2,3,8,7,1,4,5]=>[[1,3,4,8],[2,5],[6,7]]=>14 [5,4,2,7,8,3,6,1]=>[5,4,7,2,8,3,6,1]=>[1,6,3,8,2,7,4,5]=>[[1,2,4,8],[3,6],[5,7]]=>16 [8,7,1,2,4,3,5,6]=>[4,1,2,3,5,8,7,6]=>[6,7,8,5,3,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [8,2,6,3,4,5,7,1]=>[2,3,6,4,5,8,7,1]=>[1,7,8,5,4,6,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [1,7,6,3,4,5,2,8]=>[3,4,7,6,5,1,2,8]=>[8,2,1,5,6,7,4,3]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [1,7,2,5,4,3,6,8]=>[7,5,1,2,4,3,6,8]=>[8,6,3,4,2,1,5,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>8 [8,7,2,4,5,3,6,1]=>[4,5,2,3,8,7,6,1]=>[1,6,7,8,3,2,5,4]=>[[1,2,3,4],[5,7],[6,8]]=>20 [6,8,3,2,4,7,5,1]=>[3,2,6,8,4,7,5,1]=>[1,5,7,4,8,6,2,3]=>[[1,2,3,5],[4,6],[7,8]]=>18 [8,7,1,3,4,5,2,6]=>[3,4,5,1,2,8,7,6]=>[6,7,8,2,1,5,4,3]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [8,1,2,5,4,3,6,7]=>[5,4,1,2,3,6,8,7]=>[7,8,6,3,2,1,4,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [3,4,8,7,5,2,6,1]=>[3,8,7,4,5,2,6,1]=>[1,6,2,5,4,7,8,3]=>[[1,2,4,6,7],[3],[5],[8]]=>17 [3,2,8,6,1,5,4,7]=>[8,3,2,6,5,1,4,7]=>[7,4,1,5,6,2,3,8]=>[[1,4,5,8],[2,6,7],[3]]=>12 [8,6,1,2,4,3,5,7]=>[4,1,2,3,6,5,8,7]=>[7,8,5,6,3,2,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>13 [8,7,3,6,4,2,5,1]=>[3,8,4,2,7,6,5,1]=>[1,5,6,7,2,4,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>23 [3,8,7,2,5,4,6,1]=>[3,8,2,7,5,4,6,1]=>[1,6,4,5,7,2,8,3]=>[[1,2,4,5,7],[3,8],[6]]=>18 [8,7,2,4,5,6,3,1]=>[2,4,8,5,7,6,3,1]=>[1,3,6,7,5,8,4,2]=>[[1,2,3,4,6],[5],[7],[8]]=>21 [5,3,6,2,4,8,7,1]=>[3,5,2,6,8,4,7,1]=>[1,7,4,8,6,2,5,3]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [5,1,8,6,2,3,4,7]=>[1,5,2,8,3,6,4,7]=>[7,4,6,3,8,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [2,5,4,1,8,6,3,7]=>[5,8,4,2,6,1,3,7]=>[7,3,1,6,2,4,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>10 [3,7,6,1,8,2,5,4]=>[3,1,7,6,8,5,2,4]=>[4,2,5,8,6,7,1,3]=>[[1,3,4,6],[2,5],[7,8]]=>15 [7,6,3,1,8,2,4,5]=>[3,1,7,2,6,4,8,5]=>[5,8,4,6,2,7,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [1,8,2,6,3,4,7,5]=>[1,2,3,8,6,7,4,5]=>[5,4,7,6,8,3,2,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [8,1,3,6,4,7,2,5]=>[3,4,8,6,1,2,7,5]=>[5,7,2,1,6,8,4,3]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [8,2,1,3,5,7,4,6]=>[8,2,5,1,3,4,7,6]=>[6,7,4,3,1,5,2,8]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [8,2,6,3,1,4,7,5]=>[2,3,1,4,8,6,7,5]=>[5,7,6,8,4,1,3,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [7,5,4,1,3,8,2,6]=>[5,1,4,3,7,2,8,6]=>[6,8,2,7,3,4,1,5]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [7,2,3,6,1,4,8,5]=>[2,7,3,1,4,6,8,5]=>[5,8,6,4,1,3,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [1,3,7,2,5,8,4,6]=>[1,7,8,3,5,2,4,6]=>[6,4,2,5,3,8,7,1]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [1,7,2,3,5,8,4,6]=>[7,8,1,2,3,5,4,6]=>[6,4,5,3,2,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [7,4,8,1,3,6,2,5]=>[7,1,4,8,3,2,6,5]=>[5,6,2,3,8,4,1,7]=>[[1,2,5,8],[3,4,6],[7]]=>17 [8,1,2,3,5,7,4,6]=>[8,5,1,2,3,4,7,6]=>[6,7,4,3,2,1,5,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [8,6,1,4,7,3,2,5]=>[4,6,3,1,2,8,7,5]=>[5,7,8,2,1,3,6,4]=>[[1,2,3],[4,6,7],[5,8]]=>18 [2,6,3,7,1,4,8,5]=>[6,2,3,1,7,8,4,5]=>[5,4,8,7,1,3,2,6]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [2,6,3,8,1,4,7,5]=>[6,2,3,8,1,7,4,5]=>[5,4,7,1,8,3,2,6]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [8,5,4,7,1,3,2,6]=>[1,5,8,4,3,2,7,6]=>[6,7,2,3,4,8,5,1]=>[[1,2,5,6],[3,4,7],[8]]=>19 [3,4,7,6,1,8,5,2]=>[3,7,4,6,8,1,5,2]=>[2,5,1,8,6,4,7,3]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [3,2,8,4,7,5,1,6]=>[8,3,2,7,4,5,1,6]=>[6,1,5,4,7,2,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [6,1,2,8,3,4,7,5]=>[1,6,8,2,3,4,7,5]=>[5,7,4,3,2,8,6,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [6,8,3,1,7,2,4,5]=>[3,1,6,2,8,4,7,5]=>[5,7,4,8,2,6,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [3,7,2,5,6,1,8,4]=>[3,5,7,6,2,8,1,4]=>[4,1,8,2,6,7,5,3]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [2,7,5,3,8,4,1,6]=>[7,5,2,3,8,4,1,6]=>[6,1,4,8,3,2,5,7]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [8,3,1,4,7,2,6,5]=>[1,8,3,4,7,2,6,5]=>[5,6,2,7,4,3,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [8,3,2,1,5,7,4,6]=>[3,8,2,5,1,4,7,6]=>[6,7,4,1,5,2,8,3]=>[[1,2,7],[3,5,8],[4,6]]=>13 [2,8,3,6,4,7,1,5]=>[2,3,8,6,7,4,1,5]=>[5,1,4,7,6,8,3,2]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [7,3,6,4,8,1,2,5]=>[3,7,4,1,6,2,8,5]=>[5,8,2,6,1,4,7,3]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [7,3,6,4,8,2,1,5]=>[3,7,4,6,2,1,8,5]=>[5,8,1,2,6,4,7,3]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [4,6,1,7,3,5,2,8]=>[4,6,1,7,3,5,2,8]=>[8,2,5,3,7,1,6,4]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [5,6,1,7,3,4,2,8]=>[5,6,1,3,7,4,2,8]=>[8,2,4,7,3,1,6,5]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [6,1,7,3,4,2,8,5]=>[3,6,4,1,2,7,8,5]=>[5,8,7,2,1,4,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [7,3,8,1,6,5,2,4]=>[3,7,1,8,6,2,5,4]=>[4,5,2,6,8,1,7,3]=>[[1,2,4,5],[3,7],[6,8]]=>18 [8,3,7,1,6,5,2,4]=>[8,3,1,7,6,2,5,4]=>[4,5,2,6,7,1,3,8]=>[[1,2,4,5,8],[3,7],[6]]=>19 [5,1,7,4,2,8,6,3]=>[1,7,5,8,2,4,6,3]=>[3,6,4,2,8,5,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [2,8,1,7,6,5,3,4]=>[8,7,6,2,1,5,3,4]=>[4,3,5,1,2,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>16 [6,4,2,8,5,1,7,3]=>[6,2,4,1,8,5,7,3]=>[3,7,5,8,1,4,2,6]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [8,6,4,7,1,5,2,3]=>[1,4,6,2,8,7,5,3]=>[3,5,7,8,2,6,4,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [5,1,6,4,2,3,8,7]=>[5,1,6,2,4,8,3,7]=>[7,3,8,4,2,6,1,5]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [4,2,3,8,7,5,1,6]=>[8,4,2,7,3,5,1,6]=>[6,1,5,3,7,2,4,8]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [3,8,7,1,6,5,2,4]=>[8,3,1,7,6,5,2,4]=>[4,2,5,6,7,1,3,8]=>[[1,3,4,5,8],[2,7],[6]]=>18 [2,4,3,7,1,6,8,5]=>[7,4,2,3,6,8,1,5]=>[5,1,8,6,3,2,4,7]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [4,2,3,7,8,5,1,6]=>[4,7,2,8,3,5,1,6]=>[6,1,5,3,8,2,7,4]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [6,4,7,8,1,5,2,3]=>[4,1,6,7,2,8,5,3]=>[3,5,8,2,7,6,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [4,7,8,6,1,5,2,3]=>[7,4,1,8,6,2,5,3]=>[3,5,2,6,8,1,4,7]=>[[1,2,4,5],[3,7,8],[6]]=>19 [3,2,4,7,8,1,5,6]=>[7,8,3,2,4,1,5,6]=>[6,5,1,4,2,3,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [5,8,7,6,1,4,2,3]=>[5,1,8,7,2,6,4,3]=>[3,4,6,2,7,8,1,5]=>[[1,2,3,5,6],[4,8],[7]]=>21 [6,7,4,8,1,5,2,3]=>[1,6,4,7,2,8,5,3]=>[3,5,8,2,7,4,6,1]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [2,5,3,7,1,6,4,8]=>[5,2,7,3,6,1,4,8]=>[8,4,1,6,3,7,2,5]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [8,4,6,7,1,5,2,3]=>[1,4,8,6,2,7,5,3]=>[3,5,7,2,6,8,4,1]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [7,4,6,8,1,5,2,3]=>[4,7,1,6,2,8,5,3]=>[3,5,8,2,6,1,7,4]=>[[1,2,3,7],[4,5],[6,8]]=>19 [4,2,3,7,5,1,6,8]=>[4,2,7,3,5,1,6,8]=>[8,6,1,5,3,7,2,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [3,7,5,8,1,6,2,4]=>[5,7,3,1,8,6,2,4]=>[4,2,6,8,1,3,7,5]=>[[1,3,4],[2,6,7],[5,8]]=>16 [2,4,3,7,1,6,5,8]=>[7,4,2,3,6,1,5,8]=>[8,5,1,6,3,2,4,7]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [2,4,7,1,5,8,6,3]=>[4,2,7,8,5,6,1,3]=>[3,1,6,5,8,7,2,4]=>[[1,3,5],[2,4,6],[7,8]]=>11 [3,2,4,7,6,1,5,8]=>[7,3,6,2,4,1,5,8]=>[8,5,1,4,2,6,3,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [5,6,8,7,1,4,2,3]=>[5,6,1,8,2,7,4,3]=>[3,4,7,2,8,1,6,5]=>[[1,2,3,5],[4,7],[6,8]]=>19 [4,6,8,7,1,5,2,3]=>[8,6,4,1,7,2,5,3]=>[3,5,2,7,1,4,6,8]=>[[1,2,4,8],[3,6,7],[5]]=>18 [3,1,7,5,4,2,8,6]=>[7,3,5,1,4,8,2,6]=>[6,2,8,4,1,5,3,7]=>[[1,3,6,8],[2,4],[5,7]]=>10 [2,1,8,5,4,6,3,7]=>[5,2,4,8,6,1,3,7]=>[7,3,1,6,8,4,2,5]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [4,1,8,5,2,3,6,7]=>[4,1,2,8,5,3,6,7]=>[7,6,3,5,8,2,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [3,2,7,1,5,8,4,6]=>[3,2,7,8,5,1,4,6]=>[6,4,1,5,8,7,2,3]=>[[1,4,5],[2,6,8],[3,7]]=>10 [4,5,1,3,6,8,2,7]=>[1,4,5,8,3,6,2,7]=>[7,2,6,3,8,5,4,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [7,6,3,1,5,4,2,8]=>[7,1,3,6,5,4,2,8]=>[8,2,4,5,6,3,1,7]=>[[1,3,4,5,8],[2],[6],[7]]=>16 [3,6,2,1,5,8,4,7]=>[3,2,6,8,5,1,4,7]=>[7,4,1,5,8,6,2,3]=>[[1,4,5],[2,6,8],[3,7]]=>10 [7,1,3,2,8,6,4,5]=>[7,8,3,1,2,4,6,5]=>[5,6,4,2,1,3,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [7,1,6,2,8,3,4,5]=>[1,7,2,6,3,4,8,5]=>[5,8,4,3,6,2,7,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [2,7,8,1,5,3,4,6]=>[2,7,1,3,8,5,4,6]=>[6,4,5,8,3,1,7,2]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [6,7,2,1,5,3,4,8]=>[2,6,1,3,7,5,4,8]=>[8,4,5,7,3,1,6,2]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [8,7,2,1,4,5,3,6]=>[2,4,5,1,3,8,7,6]=>[6,7,8,3,1,5,4,2]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [8,7,5,6,1,4,3,2]=>[1,8,5,7,6,4,3,2]=>[2,3,4,6,7,5,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>24 [5,7,8,6,1,4,3,2]=>[5,7,8,1,6,4,3,2]=>[2,3,4,6,1,8,7,5]=>[[1,2,3,4,6],[5,7],[8]]=>21 [2,7,4,1,6,5,3,8]=>[4,7,2,6,5,1,3,8]=>[8,3,1,5,6,2,7,4]=>[[1,4,5,7],[2,6,8],[3]]=>11 [3,7,1,4,5,6,8,2]=>[3,1,7,4,5,6,8,2]=>[2,8,6,5,4,7,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [7,1,6,4,5,8,3,2]=>[4,7,6,5,8,1,3,2]=>[2,3,1,8,5,6,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>17 [3,5,1,4,7,6,8,2]=>[3,5,7,1,4,6,8,2]=>[2,8,6,4,1,7,5,3]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [2,6,4,1,7,5,3,8]=>[4,2,6,7,5,1,3,8]=>[8,3,1,5,7,6,2,4]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [5,6,8,7,1,4,3,2]=>[5,8,1,6,7,4,3,2]=>[2,3,4,7,6,1,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>20 [6,8,5,7,1,4,3,2]=>[6,1,8,5,7,4,3,2]=>[2,3,4,7,5,8,1,6]=>[[1,2,3,4,6],[5,8],[7]]=>22 [8,5,7,6,1,4,3,2]=>[8,1,5,7,6,4,3,2]=>[2,3,4,6,7,5,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>23 [6,5,7,8,1,4,3,2]=>[1,6,5,7,8,4,3,2]=>[2,3,4,8,7,5,6,1]=>[[1,2,3,4,7],[5],[6],[8]]=>20 [7,2,3,1,5,6,4,8]=>[7,2,3,1,5,6,4,8]=>[8,4,6,5,1,3,2,7]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [4,2,8,1,6,5,3,7]=>[4,8,2,6,1,5,3,7]=>[7,3,5,1,6,2,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>12 [6,2,4,1,8,5,3,7]=>[2,6,4,8,1,5,3,7]=>[7,3,5,1,8,4,6,2]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [8,3,1,4,5,6,7,2]=>[1,3,4,5,6,8,7,2]=>[2,7,8,6,5,4,3,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>13 [5,3,1,4,8,6,7,2]=>[5,1,3,8,4,6,7,2]=>[2,7,6,4,8,3,1,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [7,5,1,6,3,4,8,2]=>[7,1,5,3,6,4,8,2]=>[2,8,4,6,3,5,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [5,3,1,8,4,6,7,2]=>[1,5,3,8,4,6,7,2]=>[2,7,6,4,8,3,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [8,2,6,1,4,5,3,7]=>[2,4,6,5,1,3,8,7]=>[7,8,3,1,5,6,4,2]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [6,2,8,1,4,5,3,7]=>[2,6,1,4,8,5,3,7]=>[7,3,5,8,4,1,6,2]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [7,2,6,1,5,3,4,8]=>[7,2,1,6,3,5,4,8]=>[8,4,5,3,6,1,2,7]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [4,2,1,5,6,3,8,7]=>[2,1,4,5,6,8,3,7]=>[7,3,8,6,5,4,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [7,1,2,5,8,3,4,6]=>[5,1,7,2,3,4,8,6]=>[6,8,4,3,2,7,1,5]=>[[1,2],[3,6],[4,8],[5],[7]]=>11 [7,1,4,5,6,8,3,2]=>[4,5,7,6,8,1,3,2]=>[2,3,1,8,6,7,5,4]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [8,5,6,7,1,4,3,2]=>[1,5,6,8,7,4,3,2]=>[2,3,4,7,8,6,5,1]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [7,6,8,5,1,4,3,2]=>[7,1,6,8,5,4,3,2]=>[2,3,4,5,8,6,1,7]=>[[1,2,3,4,5,8],[6],[7]]=>23 [6,8,7,5,1,4,3,2]=>[8,1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>23 [3,5,1,7,4,6,8,2]=>[7,3,5,1,4,6,8,2]=>[2,8,6,4,1,5,3,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [7,1,5,6,4,8,3,2]=>[5,7,6,4,8,1,3,2]=>[2,3,1,8,4,6,7,5]=>[[1,2,4,6,7],[3,5],[8]]=>17 [7,1,6,5,4,8,3,2]=>[7,6,5,4,8,1,3,2]=>[2,3,1,8,4,5,6,7]=>[[1,2,4,6,7,8],[3,5]]=>18 [5,7,6,8,1,4,3,2]=>[5,7,1,6,8,4,3,2]=>[2,3,4,8,6,1,7,5]=>[[1,2,3,4,7],[5,8],[6]]=>20 [7,8,6,5,1,4,3,2]=>[7,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,7]=>[[1,2,3,4,5,7],[6,8]]=>24 [4,3,1,6,5,8,7,2]=>[1,4,6,8,3,5,7,2]=>[2,7,5,3,8,6,4,1]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [5,3,1,2,4,8,7,6]=>[1,3,8,2,5,7,4,6]=>[6,4,7,5,2,8,3,1]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [5,3,7,2,8,4,1,6]=>[5,3,7,2,8,4,1,6]=>[6,1,4,8,2,7,3,5]=>[[1,3,4,8],[2,6],[5,7]]=>15 [6,2,4,5,1,8,7,3]=>[2,6,4,8,1,5,7,3]=>[3,7,5,1,8,4,6,2]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [3,1,4,5,2,8,7,6]=>[8,1,3,4,5,7,2,6]=>[6,2,7,5,4,3,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [1,6,4,5,2,8,7,3]=>[4,1,6,8,5,7,2,3]=>[3,2,7,5,8,6,1,4]=>[[1,3,5],[2,4,6],[7,8]]=>11 [3,7,4,5,1,2,6,8]=>[3,4,1,7,5,2,6,8]=>[8,6,2,5,7,1,4,3]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [3,7,4,5,8,2,1,6]=>[3,4,7,8,5,2,1,6]=>[6,1,2,5,8,7,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [1,7,4,2,6,3,5,8]=>[7,1,4,2,6,3,5,8]=>[8,5,3,6,2,4,1,7]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [8,7,4,5,2,1,6,3]=>[4,2,1,5,8,7,6,3]=>[3,6,7,8,5,1,2,4]=>[[1,2,3,4],[5,7,8],[6]]=>21 [6,3,7,1,8,4,2,5]=>[3,6,7,1,4,2,8,5]=>[5,8,2,4,1,7,6,3]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [5,7,4,8,6,3,1,2]=>[7,5,8,4,1,6,3,2]=>[2,3,6,1,4,8,5,7]=>[[1,2,3,6,8],[4,5,7]]=>21 [1,8,3,5,6,7,2,4]=>[5,6,8,7,1,3,2,4]=>[4,2,3,1,7,8,6,5]=>[[1,3,5,6],[2,7],[4,8]]=>13 [1,4,8,3,6,7,5,2]=>[4,6,8,7,3,5,1,2]=>[2,1,5,3,7,8,6,4]=>[[1,3,5,6],[2,4,7],[8]]=>13 [4,3,8,2,1,7,5,6]=>[4,3,8,7,2,1,5,6]=>[6,5,1,2,7,8,3,4]=>[[1,4,5,6],[2,7,8],[3]]=>13 [3,8,4,2,6,1,5,7]=>[3,4,8,2,1,6,5,7]=>[7,5,6,1,2,8,4,3]=>[[1,3,6],[2,5,7],[4],[8]]=>13 [1,8,2,5,6,7,4,3]=>[5,6,8,7,1,4,2,3]=>[3,2,4,1,7,8,6,5]=>[[1,3,5,6],[2,7],[4,8]]=>13 [3,8,1,5,6,7,4,2]=>[3,5,8,6,7,1,4,2]=>[2,4,1,7,6,8,5,3]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [3,8,2,5,6,7,1,4]=>[3,5,6,8,7,2,1,4]=>[4,1,2,7,8,6,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [8,2,1,5,6,7,4,3]=>[2,5,8,6,7,1,4,3]=>[3,4,1,7,6,8,5,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [7,1,4,3,6,2,5,8]=>[4,7,3,1,2,6,5,8]=>[8,5,6,2,1,3,7,4]=>[[1,3,7],[2,6,8],[4],[5]]=>11 [4,3,1,8,5,7,6,2]=>[4,8,1,7,3,5,6,2]=>[2,6,5,3,7,1,8,4]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [4,3,1,6,8,7,5,2]=>[8,1,4,6,7,3,5,2]=>[2,5,3,7,6,4,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [6,3,5,8,2,7,1,4]=>[6,3,5,8,2,1,7,4]=>[4,7,1,2,8,5,3,6]=>[[1,2,5,8],[3,4,6],[7]]=>17 [7,6,4,5,8,1,3,2]=>[4,1,7,6,5,8,3,2]=>[2,3,8,5,6,7,1,4]=>[[1,2,3,5,6],[4,8],[7]]=>21 [1,6,4,5,8,2,3,7]=>[4,6,1,8,5,2,3,7]=>[7,3,2,5,8,1,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [7,3,6,1,8,2,4,5]=>[3,1,7,6,2,4,8,5]=>[5,8,4,2,6,7,1,3]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [1,7,6,5,8,3,4,2]=>[7,6,5,3,8,4,1,2]=>[2,1,4,8,3,5,6,7]=>[[1,3,4,7,8],[2,5,6]]=>17 [1,8,5,3,6,7,4,2]=>[3,5,6,8,7,4,1,2]=>[2,1,4,7,8,6,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [8,3,5,2,1,7,4,6]=>[5,3,8,2,1,4,7,6]=>[6,7,4,1,2,8,3,5]=>[[1,2,6,8],[3,5,7],[4]]=>15 [4,1,8,5,6,7,3,2]=>[4,5,8,6,7,1,3,2]=>[2,3,1,7,6,8,5,4]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [1,2,8,5,6,7,3,4]=>[5,6,1,8,7,2,3,4]=>[4,3,2,7,8,1,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [1,5,3,8,6,7,4,2]=>[3,8,5,6,7,4,1,2]=>[2,1,4,7,6,5,8,3]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [2,7,1,4,3,6,5,8]=>[7,2,1,4,6,3,5,8]=>[8,5,3,6,4,1,2,7]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [3,7,1,5,6,2,8,4]=>[3,5,1,7,6,8,2,4]=>[4,2,8,6,7,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [5,3,4,6,2,8,1,7]=>[3,5,4,6,8,2,1,7]=>[7,1,2,8,6,4,5,3]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [6,4,7,2,3,8,1,5]=>[4,2,6,3,7,1,8,5]=>[5,8,1,7,3,6,2,4]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [6,5,7,2,8,3,1,4]=>[2,6,5,7,3,1,8,4]=>[4,8,1,3,7,5,6,2]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [5,3,7,2,4,8,6,1]=>[5,3,2,7,8,4,6,1]=>[1,6,4,8,7,2,3,5]=>[[1,2,4,8],[3,5],[6,7]]=>15 [2,6,5,1,8,3,4,7]=>[6,5,2,1,8,3,4,7]=>[7,4,3,8,1,2,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [8,7,6,1,4,5,2,3]=>[8,1,4,2,7,6,5,3]=>[3,5,6,7,2,4,1,8]=>[[1,2,3,4,8],[5,6],[7]]=>22 [8,7,6,1,3,2,5,4]=>[3,8,1,2,7,6,5,4]=>[4,5,6,7,2,1,8,3]=>[[1,2,3,4,7],[5,8],[6]]=>20 [8,7,2,4,3,1,6,5]=>[4,2,3,8,1,7,6,5]=>[5,6,7,1,8,3,2,4]=>[[1,2,3,5],[4,6,8],[7]]=>18 [8,5,6,3,1,2,7,4]=>[1,5,3,2,6,8,7,4]=>[4,7,8,6,2,3,5,1]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [5,7,3,4,2,1,8,6]=>[3,7,5,4,2,8,1,6]=>[6,1,8,2,4,5,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>15 [6,7,4,2,3,1,8,5]=>[2,6,4,3,1,7,8,5]=>[5,8,7,1,3,4,6,2]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [6,7,5,4,1,8,2,3]=>[1,6,7,5,4,2,8,3]=>[3,8,2,4,5,7,6,1]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [6,2,4,3,8,7,5,1]=>[4,8,2,3,6,7,5,1]=>[1,5,7,6,3,2,8,4]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [5,2,7,1,3,4,8,6]=>[2,1,5,3,7,8,4,6]=>[6,4,8,7,3,5,1,2]=>[[1,3],[2,4],[5,6],[7,8]]=>10 [2,6,5,7,3,1,4,8]=>[6,5,2,7,3,1,4,8]=>[8,4,1,3,7,2,5,6]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [6,3,1,4,7,8,5,2]=>[1,3,4,6,7,8,5,2]=>[2,5,8,7,6,4,3,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>13 [6,8,2,1,3,4,5,7]=>[2,1,3,4,8,6,5,7]=>[7,5,6,8,4,3,1,2]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [4,2,1,6,3,7,5,8]=>[2,4,1,6,7,3,5,8]=>[8,5,3,7,6,1,4,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>7 [4,2,1,6,3,7,8,5]=>[2,4,1,6,7,8,3,5]=>[5,3,8,7,6,1,4,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>8 [7,4,3,5,8,6,1,2]=>[4,3,5,7,1,8,6,2]=>[2,6,8,1,7,5,3,4]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [2,7,6,8,3,1,4,5]=>[2,7,6,3,1,8,4,5]=>[5,4,8,1,3,6,7,2]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [7,4,3,5,8,6,2,1]=>[4,3,5,7,8,6,2,1]=>[1,2,6,8,7,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [4,2,1,7,3,8,6,5]=>[2,4,7,8,1,6,3,5]=>[5,3,6,1,8,7,4,2]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [4,2,1,3,7,8,6,5]=>[2,7,8,1,4,6,3,5]=>[5,3,6,4,1,8,7,2]=>[[1,3,6],[2,4,7],[5,8]]=>9 [4,2,1,8,3,5,6,7]=>[2,1,8,4,3,5,6,7]=>[7,6,5,3,4,8,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [4,2,1,3,6,7,5,8]=>[2,1,4,6,7,3,5,8]=>[8,5,3,7,6,4,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>6 [4,2,1,3,6,8,7,5]=>[2,8,1,4,6,7,3,5]=>[5,3,7,6,4,1,8,2]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [7,3,2,4,8,6,5,1]=>[3,7,8,2,4,6,5,1]=>[1,5,6,4,2,8,7,3]=>[[1,2,3,6],[4,7],[5,8]]=>16 [4,2,1,6,3,8,7,5]=>[2,4,8,1,6,7,3,5]=>[5,3,7,6,1,8,4,2]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [3,6,7,5,2,1,8,4]=>[6,7,5,3,2,8,1,4]=>[4,1,8,2,3,5,7,6]=>[[1,3,5,6,7],[2,4],[8]]=>15 [7,3,4,2,6,8,5,1]=>[3,4,7,2,6,8,5,1]=>[1,5,8,6,2,7,4,3]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [3,6,7,5,2,4,8,1]=>[6,7,5,3,2,4,8,1]=>[1,8,4,2,3,5,7,6]=>[[1,2,5,6,7],[3,8],[4]]=>16 [3,6,7,5,2,4,1,8]=>[6,7,5,3,2,4,1,8]=>[8,1,4,2,3,5,7,6]=>[[1,3,5,6,7],[2,8],[4]]=>15 [4,2,1,7,3,6,5,8]=>[2,4,7,1,6,3,5,8]=>[8,5,3,6,1,7,4,2]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [3,7,6,8,4,2,5,1]=>[7,6,3,8,4,2,5,1]=>[1,5,2,4,8,3,6,7]=>[[1,2,4,5,8],[3,7],[6]]=>19 [3,7,8,6,2,4,5,1]=>[7,3,2,8,6,4,5,1]=>[1,5,4,6,8,2,3,7]=>[[1,2,4,5],[3,7,8],[6]]=>19 [4,2,1,3,8,6,7,5]=>[8,2,1,4,6,7,3,5]=>[5,3,7,6,4,1,2,8]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [4,7,8,6,3,5,2,1]=>[7,8,6,4,3,5,2,1]=>[1,2,5,3,4,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>22 [4,2,1,3,5,6,8,7]=>[2,1,4,8,3,5,6,7]=>[7,6,5,3,8,4,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>5 [7,8,2,4,1,3,6,5]=>[4,2,1,3,7,8,6,5]=>[5,6,8,7,3,1,2,4]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [2,5,6,1,4,8,3,7]=>[5,2,6,8,4,1,3,7]=>[7,3,1,4,8,6,2,5]=>[[1,4,5],[2,6,8],[3,7]]=>10 [7,4,6,5,2,8,1,3]=>[7,4,2,6,5,1,8,3]=>[3,8,1,5,6,2,4,7]=>[[1,2,5,8],[3,4,7],[6]]=>19 [7,1,5,6,4,2,3,8]=>[5,1,7,6,2,4,3,8]=>[8,3,4,2,6,7,1,5]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [5,7,4,6,8,1,3,2]=>[7,5,4,1,6,8,3,2]=>[2,3,8,6,1,4,5,7]=>[[1,2,3,7,8],[4,6],[5]]=>19 [4,8,5,1,6,7,3,2]=>[4,1,8,5,6,7,3,2]=>[2,3,7,6,5,8,1,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [8,1,4,5,6,7,3,2]=>[4,5,6,8,7,1,3,2]=>[2,3,1,7,8,6,5,4]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [5,6,7,1,4,2,3,8]=>[1,5,6,2,7,4,3,8]=>[8,3,4,7,2,6,5,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [4,8,5,2,1,6,7,3]=>[4,2,1,5,8,6,7,3]=>[3,7,6,8,5,1,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [5,1,8,4,2,6,3,7]=>[1,5,2,8,4,6,3,7]=>[7,3,6,4,8,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [1,8,4,6,2,5,3,7]=>[1,8,4,6,2,5,3,7]=>[7,3,5,2,6,4,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [6,1,5,2,3,4,7,8]=>[1,2,6,3,5,4,7,8]=>[8,7,4,5,3,6,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>8 [3,1,8,2,5,6,4,7]=>[1,3,5,8,6,2,4,7]=>[7,4,2,6,8,5,3,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [3,5,1,2,8,4,7,6]=>[5,3,8,1,7,2,4,6]=>[6,4,2,7,1,8,3,5]=>[[1,4,6],[2,7,8],[3],[5]]=>9 [3,2,8,5,7,1,6,4]=>[8,3,7,5,2,6,1,4]=>[4,1,6,2,5,7,3,8]=>[[1,3,5,6,8],[2,4],[7]]=>14 [3,6,2,8,5,1,7,4]=>[6,3,8,5,2,7,1,4]=>[4,1,7,2,5,8,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>14 [6,2,1,8,4,7,5,3]=>[8,6,2,7,1,4,5,3]=>[3,5,4,1,7,2,6,8]=>[[1,2,5,8],[3,6,7],[4]]=>14 [8,2,7,1,5,4,6,3]=>[2,8,7,1,5,4,6,3]=>[3,6,4,5,1,7,8,2]=>[[1,2,4,6,7],[3,8],[5]]=>17 [7,2,5,3,6,8,1,4]=>[2,3,7,5,6,1,8,4]=>[4,8,1,6,5,7,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [7,3,1,5,6,2,4,8]=>[3,7,1,5,2,6,4,8]=>[8,4,6,2,5,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [2,7,3,6,5,8,1,4]=>[7,6,2,5,8,3,1,4]=>[4,1,3,8,5,2,6,7]=>[[1,3,4,7,8],[2,5],[6]]=>14 [8,7,2,4,1,6,5,3]=>[2,8,1,7,4,6,5,3]=>[3,5,6,4,7,1,8,2]=>[[1,2,3,5,7],[4,8],[6]]=>19 [1,7,3,8,2,6,4,5]=>[7,8,1,3,2,6,4,5]=>[5,4,6,2,3,1,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [1,2,7,3,6,4,5,8]=>[1,7,2,6,3,4,5,8]=>[8,5,4,3,6,2,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>6 [7,1,5,8,3,2,4,6]=>[1,5,7,3,2,4,8,6]=>[6,8,4,2,3,7,5,1]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [1,6,2,8,4,3,7,5]=>[6,1,8,2,4,7,3,5]=>[5,3,7,4,2,8,1,6]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [1,3,8,7,2,4,6,5]=>[1,8,3,7,6,2,4,5]=>[5,4,2,6,7,3,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [1,8,3,7,2,5,4,6]=>[1,8,3,7,2,5,4,6]=>[6,4,5,2,7,3,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [8,1,4,7,3,2,5,6]=>[8,4,1,3,2,5,7,6]=>[6,7,5,2,3,1,4,8]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [4,7,8,1,3,2,5,6]=>[7,1,4,3,2,8,5,6]=>[6,5,8,2,3,4,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [7,1,4,2,3,5,6,8]=>[1,4,2,3,5,7,6,8]=>[8,6,7,5,3,2,4,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>8 [1,2,3,4,8,5,7,6]=>[8,1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>4 [2,4,7,5,6,8,3,1]=>[4,7,5,6,8,2,3,1]=>[1,3,2,8,6,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [2,4,8,7,5,6,3,1]=>[4,8,7,5,6,2,3,1]=>[1,3,2,6,5,7,8,4]=>[[1,2,4,6,7],[3,5],[8]]=>17 [2,5,3,8,4,7,6,1]=>[5,8,2,7,3,4,6,1]=>[1,6,4,3,7,2,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [2,8,5,7,3,6,4,1]=>[5,8,2,7,6,3,4,1]=>[1,4,3,6,7,2,8,5]=>[[1,2,4,5,7],[3,8],[6]]=>18 [3,1,8,5,2,7,6,4]=>[3,8,1,7,5,6,2,4]=>[4,2,6,5,7,1,8,3]=>[[1,3,5,7],[2,4],[6,8]]=>12 [8,3,5,7,1,6,4,2]=>[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[[1,2,3,5,7],[4,8],[6]]=>19 [8,3,6,1,4,5,7,2]=>[6,3,1,4,5,8,7,2]=>[2,7,8,5,4,1,3,6]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [2,8,6,3,4,5,7,1]=>[2,3,8,4,6,5,7,1]=>[1,7,5,6,4,8,3,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>15 [2,5,7,3,4,8,6,1]=>[2,7,5,8,3,4,6,1]=>[1,6,4,3,8,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [2,7,8,5,3,6,4,1]=>[2,7,5,8,6,3,4,1]=>[1,4,3,6,8,5,7,2]=>[[1,2,4,5],[3,6,7],[8]]=>18 [3,1,8,7,2,6,4,5]=>[3,1,8,7,6,2,4,5]=>[5,4,2,6,7,8,1,3]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [8,3,7,6,1,4,5,2]=>[8,3,1,7,4,6,5,2]=>[2,5,6,4,7,1,3,8]=>[[1,2,3,5,8],[4,7],[6]]=>20 [4,8,1,7,2,3,6,5]=>[1,4,8,2,7,6,3,5]=>[5,3,6,7,2,8,4,1]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [4,1,7,2,3,6,5,8]=>[1,4,7,2,6,3,5,8]=>[8,5,3,6,2,7,4,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [3,1,7,8,2,5,6,4]=>[3,7,1,8,5,6,2,4]=>[4,2,6,5,8,1,7,3]=>[[1,3,5],[2,4,7],[6,8]]=>12 [3,1,6,5,8,2,7,4]=>[6,3,5,8,1,7,2,4]=>[4,2,7,1,8,5,3,6]=>[[1,3,5],[2,6,8],[4,7]]=>11 [6,3,5,8,7,1,4,2]=>[6,3,5,8,1,7,4,2]=>[2,4,7,1,8,5,3,6]=>[[1,2,3,5],[4,6,8],[7]]=>18 [7,3,8,5,1,6,4,2]=>[3,7,1,8,5,6,4,2]=>[2,4,6,5,8,1,7,3]=>[[1,2,3,5],[4,7],[6,8]]=>19 [7,3,6,1,4,8,5,2]=>[7,3,1,4,6,8,5,2]=>[2,5,8,6,4,1,3,7]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [7,4,8,1,2,3,6,5]=>[1,2,7,4,8,3,6,5]=>[5,6,3,8,4,7,2,1]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [8,7,4,6,1,2,5,3]=>[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[[1,2,3,4,6],[5,7],[8]]=>21 [7,5,1,2,3,4,8,6]=>[1,2,3,5,4,7,8,6]=>[6,8,7,4,5,3,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>11 [6,4,1,2,8,5,7,3]=>[6,1,2,4,8,5,7,3]=>[3,7,5,8,4,2,1,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [5,7,1,2,3,6,4,8]=>[1,2,5,7,3,6,4,8]=>[8,4,6,3,7,5,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [3,6,8,1,2,7,4,5]=>[6,3,1,8,2,7,4,5]=>[5,4,7,2,8,1,3,6]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [4,8,6,1,2,3,7,5]=>[1,2,6,4,8,7,3,5]=>[5,3,7,8,4,6,2,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [8,4,6,1,2,3,7,5]=>[1,2,4,3,8,6,7,5]=>[5,7,6,8,3,4,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [3,1,4,8,7,5,2,6]=>[1,8,7,3,4,5,2,6]=>[6,2,5,4,3,7,8,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>11 [4,3,6,8,7,5,1,2]=>[8,4,6,7,3,1,5,2]=>[2,5,1,3,7,6,4,8]=>[[1,2,5,8],[3,4,6],[7]]=>17 [5,4,1,8,2,7,6,3]=>[5,8,1,4,7,2,6,3]=>[3,6,2,7,4,1,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>14 [5,4,1,8,2,7,3,6]=>[5,4,1,8,2,7,3,6]=>[6,3,7,2,8,1,4,5]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [8,6,7,4,1,2,5,3]=>[1,2,6,4,8,7,5,3]=>[3,5,7,8,4,6,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [6,4,8,1,2,5,3,7]=>[1,2,6,4,8,5,3,7]=>[7,3,5,8,4,6,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [6,7,3,1,4,8,5,2]=>[1,3,6,4,7,8,5,2]=>[2,5,8,7,4,6,3,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [5,4,1,6,8,2,7,3]=>[5,1,4,6,8,2,7,3]=>[3,7,2,8,6,4,1,5]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [6,7,4,1,2,8,3,5]=>[1,2,6,4,7,3,8,5]=>[5,8,3,7,4,6,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [6,5,1,2,3,7,8,4]=>[1,2,3,6,5,7,8,4]=>[4,8,7,5,6,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>11 [6,5,1,2,3,4,8,7]=>[1,2,3,6,5,8,4,7]=>[7,4,8,5,6,3,2,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [8,6,5,1,2,3,7,4]=>[1,2,3,6,5,8,7,4]=>[4,7,8,5,6,3,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [6,5,1,2,3,7,4,8]=>[1,2,3,6,5,7,4,8]=>[8,4,7,5,6,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>10 [7,8,6,4,1,2,5,3]=>[1,2,7,4,8,6,5,3]=>[3,5,6,8,4,7,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [2,4,6,3,5,7,1,8]=>[6,4,2,3,5,7,1,8]=>[8,1,7,5,3,2,4,6]=>[[1,3,7,8],[2],[4],[5],[6]]=>9 [8,2,3,4,5,1,7,6]=>[2,3,4,5,8,1,7,6]=>[6,7,1,8,5,4,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [2,8,3,4,1,6,7,5]=>[2,3,4,6,8,7,1,5]=>[5,1,7,8,6,4,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [8,7,2,3,1,6,5,4]=>[8,2,3,7,1,6,5,4]=>[4,5,6,1,7,3,2,8]=>[[1,2,3,5,8],[4,6],[7]]=>18 [3,8,2,4,6,1,7,5]=>[3,6,2,4,8,7,1,5]=>[5,1,7,8,4,2,6,3]=>[[1,3,4],[2,5,7],[6,8]]=>13 [7,8,2,4,3,1,6,5]=>[4,2,3,1,7,8,6,5]=>[5,6,8,7,1,3,2,4]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [4,5,8,2,3,1,7,6]=>[4,2,8,5,3,7,1,6]=>[6,1,7,3,5,8,2,4]=>[[1,3,5,6],[2,4],[7,8]]=>14 [5,1,4,3,7,2,6,8]=>[5,4,7,1,3,2,6,8]=>[8,6,2,3,1,7,4,5]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [6,1,3,5,7,2,4,8]=>[6,3,5,1,2,7,4,8]=>[8,4,7,2,1,5,3,6]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [7,1,3,6,2,5,4,8]=>[3,7,6,1,2,5,4,8]=>[8,4,5,2,1,6,7,3]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [8,1,3,6,2,4,7,5]=>[3,1,2,8,4,6,7,5]=>[5,7,6,4,8,2,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [7,1,8,2,5,6,3,4]=>[1,7,8,2,5,3,6,4]=>[4,6,3,5,2,8,7,1]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [6,1,5,8,2,7,3,4]=>[6,5,1,8,2,3,7,4]=>[4,7,3,2,8,1,5,6]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [4,5,2,8,1,6,7,3]=>[4,8,2,5,1,6,7,3]=>[3,7,6,1,5,2,8,4]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [6,2,5,8,1,4,7,3]=>[6,5,8,2,1,4,7,3]=>[3,7,4,1,2,8,5,6]=>[[1,2,6,8],[3,5,7],[4]]=>15 [3,2,8,5,1,6,7,4]=>[3,5,2,8,6,7,1,4]=>[4,1,7,6,8,2,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [8,2,7,1,4,6,5,3]=>[2,8,7,1,6,4,5,3]=>[3,5,4,6,1,7,8,2]=>[[1,2,4,6,7],[3,8],[5]]=>17 [1,3,8,2,5,7,4,6]=>[8,1,7,3,5,2,4,6]=>[6,4,2,5,3,7,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [2,8,7,1,6,4,5,3]=>[2,8,4,7,6,5,1,3]=>[3,1,5,6,7,4,8,2]=>[[1,3,4,5,7],[2,6],[8]]=>17 [3,8,7,1,5,6,4,2]=>[3,8,5,7,6,1,4,2]=>[2,4,1,6,7,5,8,3]=>[[1,2,4,5,7],[3,6],[8]]=>18 [3,4,8,5,6,1,7,2]=>[3,4,8,5,1,6,7,2]=>[2,7,6,1,5,8,4,3]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [8,3,7,4,1,6,5,2]=>[3,8,1,7,4,6,5,2]=>[2,5,6,4,7,1,8,3]=>[[1,2,3,5,7],[4,8],[6]]=>19 [1,4,8,6,2,7,3,5]=>[6,4,1,8,7,2,3,5]=>[5,3,2,7,8,1,4,6]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [8,4,5,7,1,6,3,2]=>[4,8,1,5,7,6,3,2]=>[2,3,6,7,5,1,8,4]=>[[1,2,3,4,7],[5,8],[6]]=>20 [3,5,6,8,4,1,7,2]=>[8,5,6,3,1,4,7,2]=>[2,7,4,1,3,6,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>15 [6,2,3,1,5,4,7,8]=>[2,3,6,1,5,4,7,8]=>[8,7,4,5,1,6,3,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [7,2,3,1,4,6,5,8]=>[2,3,7,1,4,6,5,8]=>[8,5,6,4,1,7,3,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [8,2,3,1,4,5,7,6]=>[2,3,8,1,4,5,7,6]=>[6,7,5,4,1,8,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [7,5,1,3,2,6,4,8]=>[3,1,2,5,7,6,4,8]=>[8,4,6,7,5,2,1,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [3,6,4,1,5,2,7,8]=>[3,1,6,4,5,2,7,8]=>[8,7,2,5,4,6,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [3,7,4,1,2,6,5,8]=>[3,1,4,7,6,2,5,8]=>[8,5,2,6,7,4,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [6,7,1,4,2,5,3,8]=>[1,6,2,4,7,5,3,8]=>[8,3,5,7,4,2,6,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [2,7,1,3,5,6,4,8]=>[7,2,1,5,6,3,4,8]=>[8,4,3,6,5,1,2,7]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [8,6,1,2,4,3,7,5]=>[4,1,2,3,6,8,7,5]=>[5,7,8,6,3,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [2,8,1,3,4,6,7,5]=>[8,2,1,3,6,7,4,5]=>[5,4,7,6,3,1,2,8]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [7,8,1,2,5,3,6,4]=>[1,7,2,3,5,8,6,4]=>[4,6,8,5,3,2,7,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [3,8,4,1,2,5,7,6]=>[3,1,4,8,2,7,5,6]=>[6,5,7,2,8,4,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [1,2,6,7,5,3,8,4]=>[6,1,7,5,8,2,3,4]=>[4,3,2,8,5,7,1,6]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [1,7,5,3,2,8,4,6]=>[3,7,5,1,2,8,4,6]=>[6,4,8,2,1,5,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [1,6,7,5,3,8,4,2]=>[6,3,7,5,8,4,1,2]=>[2,1,4,8,5,7,3,6]=>[[1,3,4,6],[2,5,8],[7]]=>15 [1,3,8,2,6,5,7,4]=>[6,3,5,8,7,1,2,4]=>[4,2,1,7,8,5,3,6]=>[[1,4,5],[2,6,8],[3,7]]=>10 [1,3,4,8,2,5,7,6]=>[3,4,8,7,1,2,5,6]=>[6,5,2,1,7,8,4,3]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [1,4,8,3,2,5,7,6]=>[8,1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [1,4,8,3,5,7,6,2]=>[4,8,3,7,5,6,1,2]=>[2,1,6,5,7,3,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>12 [1,2,4,8,3,5,7,6]=>[1,8,4,7,2,3,5,6]=>[6,5,3,2,7,4,8,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [6,5,7,3,8,2,4,1]=>[6,5,3,7,2,8,4,1]=>[1,4,8,2,7,3,5,6]=>[[1,2,3,7,8],[4,5],[6]]=>20 [4,2,6,7,5,8,3,1]=>[6,7,2,4,5,8,3,1]=>[1,3,8,5,4,2,7,6]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [6,7,5,2,1,8,4,3]=>[2,1,6,7,5,8,4,3]=>[3,4,8,5,7,6,1,2]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [3,4,8,7,5,2,1,6]=>[3,8,7,4,5,2,1,6]=>[6,1,2,5,4,7,8,3]=>[[1,3,4,6,7],[2],[5],[8]]=>16 [1,7,5,2,8,4,6,3]=>[5,7,1,4,8,6,2,3]=>[3,2,6,8,4,1,7,5]=>[[1,3,4],[2,5,7],[6,8]]=>13 [5,6,8,3,1,7,2,4]=>[5,6,3,1,8,2,7,4]=>[4,7,2,8,1,3,6,5]=>[[1,2,4],[3,6,7],[5,8]]=>17 [6,1,4,8,3,2,7,5]=>[4,6,3,8,1,2,7,5]=>[5,7,2,1,8,3,6,4]=>[[1,2,5],[3,6,7],[4,8]]=>13 [3,4,7,1,8,6,2,5]=>[3,7,8,4,1,6,2,5]=>[5,2,6,1,4,8,7,3]=>[[1,3,6],[2,5,7],[4,8]]=>13 [3,8,2,5,6,1,4,7]=>[8,3,2,5,1,6,4,7]=>[7,4,6,1,5,2,3,8]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [3,5,2,8,6,4,1,7]=>[8,5,3,6,2,4,1,7]=>[7,1,4,2,6,3,5,8]=>[[1,3,5,7,8],[2,6],[4]]=>13 [4,2,5,7,3,8,6,1]=>[7,2,4,5,8,3,6,1]=>[1,6,3,8,5,4,2,7]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [7,4,2,5,3,8,1,6]=>[2,4,5,3,7,1,8,6]=>[6,8,1,7,3,5,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [3,1,2,8,5,6,4,7]=>[8,3,1,5,6,2,4,7]=>[7,4,2,6,5,1,3,8]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [5,2,1,6,8,3,4,7]=>[8,2,5,1,3,6,4,7]=>[7,4,6,3,1,5,2,8]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [5,2,6,8,4,1,3,7]=>[8,5,6,2,1,4,3,7]=>[7,3,4,1,2,6,5,8]=>[[1,3,6,8],[2,5,7],[4]]=>14 [4,5,8,1,6,3,2,7]=>[8,4,1,5,6,3,2,7]=>[7,2,3,6,5,1,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [4,5,7,3,8,2,6,1]=>[7,4,5,8,3,2,6,1]=>[1,6,2,3,8,5,4,7]=>[[1,2,4,5,8],[3,6],[7]]=>17 [6,4,3,7,8,2,5,1]=>[4,3,6,7,2,8,5,1]=>[1,5,8,2,7,6,3,4]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [6,4,3,1,7,8,2,5]=>[1,4,3,6,7,2,8,5]=>[5,8,2,7,6,3,4,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>14 [4,5,3,1,7,8,2,6]=>[4,5,3,7,1,8,2,6]=>[6,2,8,1,7,3,5,4]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [7,1,3,5,4,8,2,6]=>[5,3,4,7,1,2,8,6]=>[6,8,2,1,7,4,3,5]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [7,5,2,8,1,4,3,6]=>[5,2,7,1,4,3,8,6]=>[6,8,3,4,1,7,2,5]=>[[1,2,6],[3,4,8],[5,7]]=>16 [5,7,3,8,4,6,1,2]=>[7,5,3,8,4,1,6,2]=>[2,6,1,4,8,3,5,7]=>[[1,2,5,8],[3,4,7],[6]]=>19 [1,4,5,7,3,8,6,2]=>[7,4,5,8,3,6,1,2]=>[2,1,6,3,8,5,4,7]=>[[1,3,5,8],[2,4,6],[7]]=>11 [4,6,3,7,8,5,2,1]=>[6,4,7,8,3,5,2,1]=>[1,2,5,3,8,7,4,6]=>[[1,2,3,5,8],[4,6],[7]]=>18 [5,3,6,7,8,4,2,1]=>[3,5,6,7,8,4,2,1]=>[1,2,4,8,7,6,5,3]=>[[1,2,3,4],[5],[6],[7],[8]]=>18 [1,5,3,6,7,8,4,2]=>[3,5,6,7,8,4,1,2]=>[2,1,4,8,7,6,5,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [4,6,1,7,3,8,5,2]=>[4,6,1,7,8,3,5,2]=>[2,5,3,8,7,1,6,4]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [6,3,7,1,8,4,5,2]=>[3,6,7,1,4,8,5,2]=>[2,5,8,4,1,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [6,7,2,4,8,1,5,3]=>[6,2,4,1,7,8,5,3]=>[3,5,8,7,1,4,2,6]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [2,6,1,4,7,3,8,5]=>[2,6,7,1,4,8,3,5]=>[5,3,8,4,1,7,6,2]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [3,2,5,6,7,8,1,4]=>[3,5,6,7,8,2,1,4]=>[4,1,2,8,7,6,5,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [6,7,1,3,2,8,4,5]=>[3,1,2,6,7,4,8,5]=>[5,8,4,7,6,2,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>13 [6,2,7,1,3,4,8,5]=>[2,1,6,3,4,7,8,5]=>[5,8,7,4,3,6,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>11 [5,2,1,7,3,8,4,6]=>[5,2,7,1,3,8,4,6]=>[6,4,8,3,1,7,2,5]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [6,4,2,7,1,8,3,5]=>[2,4,1,6,7,3,8,5]=>[5,8,3,7,6,1,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>14 [4,2,6,3,7,8,1,5]=>[4,2,6,7,8,3,1,5]=>[5,1,3,8,7,6,2,4]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [4,2,6,3,7,8,5,1]=>[4,2,6,7,8,3,5,1]=>[1,5,3,8,7,6,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [6,7,3,8,2,4,5,1]=>[3,6,2,7,4,8,5,1]=>[1,5,8,4,7,2,6,3]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [3,6,2,7,4,1,8,5]=>[3,6,2,7,4,8,1,5]=>[5,1,8,4,7,2,6,3]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [6,7,3,2,1,4,8,5]=>[3,2,1,6,4,7,8,5]=>[5,8,7,4,6,1,2,3]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [7,1,8,3,4,2,5,6]=>[1,7,3,4,2,5,8,6]=>[6,8,5,2,4,3,7,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [7,2,4,1,8,3,5,6]=>[4,7,2,1,3,5,8,6]=>[6,8,5,3,1,2,7,4]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [7,2,4,8,6,1,3,5]=>[7,8,4,2,1,3,6,5]=>[5,6,3,1,2,4,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>16 [7,3,4,8,6,2,1,5]=>[7,8,3,4,2,1,6,5]=>[5,6,1,2,4,3,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>18 [3,5,7,2,1,8,6,4]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[[1,3,5,7,8],[2,4,6]]=>13 [6,3,7,8,2,5,4,1]=>[6,7,3,8,2,5,4,1]=>[1,4,5,2,8,3,7,6]=>[[1,2,3,5],[4,6,7],[8]]=>19 [2,6,7,4,8,5,3,1]=>[6,4,7,8,5,2,3,1]=>[1,3,2,5,8,7,4,6]=>[[1,2,4,5],[3,6,8],[7]]=>17 [6,2,4,7,1,8,5,3]=>[2,6,4,7,8,1,5,3]=>[3,5,1,8,7,4,6,2]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [4,6,2,7,1,8,5,3]=>[4,6,2,7,8,1,5,3]=>[3,5,1,8,7,2,6,4]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [1,7,4,8,5,2,6,3]=>[7,4,1,5,8,6,2,3]=>[3,2,6,8,5,1,4,7]=>[[1,3,4],[2,5,8],[6,7]]=>14 [1,3,7,8,5,2,6,4]=>[7,5,3,8,6,1,2,4]=>[4,2,1,6,8,3,5,7]=>[[1,4,5,8],[2,6,7],[3]]=>12 [2,5,7,8,1,6,3,4]=>[7,5,8,2,1,6,3,4]=>[4,3,6,1,2,8,5,7]=>[[1,3,6,8],[2,5,7],[4]]=>14 [6,3,7,1,8,2,5,4]=>[6,3,1,7,8,2,5,4]=>[4,5,2,8,7,1,3,6]=>[[1,2,4],[3,5,8],[6,7]]=>15 [1,6,4,7,8,2,5,3]=>[4,6,1,7,8,5,2,3]=>[3,2,5,8,7,1,6,4]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [2,5,6,1,7,8,4,3]=>[5,2,6,7,8,4,1,3]=>[3,1,4,8,7,6,2,5]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [5,6,1,2,7,8,4,3]=>[1,2,5,6,7,8,4,3]=>[3,4,8,7,6,5,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>13 [6,7,2,1,8,5,3,4]=>[2,6,7,1,3,8,5,4]=>[4,5,8,3,1,7,6,2]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [6,7,2,8,5,4,1,3]=>[6,7,8,2,1,5,4,3]=>[3,4,5,1,2,8,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>20 [1,6,7,4,8,5,3,2]=>[6,4,7,8,5,3,1,2]=>[2,1,3,5,8,7,4,6]=>[[1,3,4,5],[2,6,8],[7]]=>16 [1,5,7,4,3,6,2,8]=>[7,5,4,3,6,1,2,8]=>[8,2,1,6,3,4,5,7]=>[[1,4,6,7,8],[2,5],[3]]=>11 [1,8,4,5,3,6,2,7]=>[1,8,4,5,3,6,2,7]=>[7,2,6,3,5,4,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [1,8,2,4,6,3,7,5]=>[8,1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [1,8,2,5,4,6,7,3]=>[5,1,4,8,6,7,2,3]=>[3,2,7,6,8,4,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [3,6,2,7,1,4,5,8]=>[3,6,2,1,7,4,5,8]=>[8,5,4,7,1,2,6,3]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [6,3,8,1,2,4,7,5]=>[1,6,3,8,2,4,7,5]=>[5,7,4,2,8,3,6,1]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [4,5,2,3,6,1,8,7]=>[4,2,5,3,6,8,1,7]=>[7,1,8,6,3,5,2,4]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [2,5,4,7,1,6,8,3]=>[5,7,4,2,6,8,1,3]=>[3,1,8,6,2,4,7,5]=>[[1,3,6,7],[2,4,8],[5]]=>11 [6,2,4,8,5,1,7,3]=>[6,2,8,4,1,5,7,3]=>[3,7,5,1,4,8,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [5,2,4,8,1,3,7,6]=>[8,5,2,1,4,7,3,6]=>[6,3,7,4,1,2,5,8]=>[[1,3,7,8],[2,4],[5,6]]=>12 [6,2,5,4,8,3,7,1]=>[6,5,8,2,4,3,7,1]=>[1,7,3,4,2,8,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>16 [6,4,3,5,8,2,7,1]=>[4,3,6,8,5,2,7,1]=>[1,7,2,5,8,6,3,4]=>[[1,2,4,5],[3,6],[7,8]]=>17 [5,2,3,4,8,1,6,7]=>[5,2,3,8,4,1,6,7]=>[7,6,1,4,8,3,2,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [3,5,2,4,7,1,6,8]=>[5,3,7,2,4,1,6,8]=>[8,6,1,4,2,7,3,5]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [4,5,3,7,1,6,2,8]=>[4,5,3,7,1,6,2,8]=>[8,2,6,1,7,3,5,4]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [6,2,4,8,5,1,3,7]=>[6,2,8,4,1,5,3,7]=>[7,3,5,1,4,8,2,6]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [7,6,3,8,5,1,2,4]=>[7,3,1,6,2,8,5,4]=>[4,5,8,2,6,1,3,7]=>[[1,2,3,8],[4,5],[6,7]]=>20 [4,2,6,7,3,8,1,5]=>[4,6,2,7,8,3,1,5]=>[5,1,3,8,7,2,6,4]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [1,3,7,2,8,6,4,5]=>[7,8,6,1,3,2,4,5]=>[5,4,2,3,1,6,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [1,4,3,7,8,6,2,5]=>[7,8,4,6,3,1,2,5]=>[5,2,1,3,6,4,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>11 [1,5,3,6,8,2,7,4]=>[8,5,6,1,3,7,2,4]=>[4,2,7,3,1,6,5,8]=>[[1,3,6,8],[2,4],[5,7]]=>10 [4,5,2,7,1,8,6,3]=>[4,2,5,7,8,1,6,3]=>[3,6,1,8,7,5,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [4,3,6,5,7,8,1,2]=>[4,6,3,5,7,1,8,2]=>[2,8,1,7,5,3,6,4]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [4,2,3,5,6,8,1,7]=>[2,4,8,3,5,6,1,7]=>[7,1,6,5,3,8,4,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [5,2,6,4,7,8,3,1]=>[5,6,2,4,7,8,3,1]=>[1,3,8,7,4,2,6,5]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [3,2,5,6,8,1,7,4]=>[8,3,5,6,2,7,1,4]=>[4,1,7,2,6,5,3,8]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [6,4,5,2,3,8,7,1]=>[4,2,6,5,8,3,7,1]=>[1,7,3,8,5,6,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>16 [4,6,5,2,3,1,8,7]=>[6,4,2,5,3,8,1,7]=>[7,1,8,3,5,2,4,6]=>[[1,3,5,8],[2,4],[6,7]]=>13 [6,4,2,5,3,1,8,7]=>[2,4,6,5,3,8,1,7]=>[7,1,8,3,5,6,4,2]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [6,4,2,5,3,8,7,1]=>[2,4,6,5,8,3,7,1]=>[1,7,3,8,5,6,4,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [6,4,2,5,8,7,3,1]=>[2,4,6,8,5,7,3,1]=>[1,3,7,5,8,6,4,2]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [4,6,2,5,3,8,7,1]=>[4,6,2,5,8,3,7,1]=>[1,7,3,8,5,2,6,4]=>[[1,2,4,7],[3,5],[6,8]]=>14 [4,6,5,2,3,8,7,1]=>[6,4,2,5,8,3,7,1]=>[1,7,3,8,5,2,4,6]=>[[1,2,4,8],[3,5],[6,7]]=>15 [6,8,7,4,5,2,3,1]=>[8,6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6,8]=>[[1,2,3,4,8],[5,6,7]]=>24 [6,8,4,7,5,2,3,1]=>[6,8,4,2,7,5,3,1]=>[1,3,5,7,2,4,8,6]=>[[1,2,3,4,7],[5,6,8]]=>23 [8,6,4,7,2,5,3,1]=>[4,2,6,8,7,5,3,1]=>[1,3,5,7,8,6,2,4]=>[[1,2,3,4,5],[6,8],[7]]=>23 [4,8,2,6,7,5,3,1]=>[4,8,6,7,2,5,3,1]=>[1,3,5,2,7,6,8,4]=>[[1,2,3,5,7],[4,6],[8]]=>19 [2,8,6,7,4,5,3,1]=>[6,4,8,7,5,2,3,1]=>[1,3,2,5,7,8,4,6]=>[[1,2,4,5,6],[3,7,8]]=>20 [6,8,7,2,4,5,3,1]=>[6,2,8,4,7,5,3,1]=>[1,3,5,7,4,8,2,6]=>[[1,2,3,4,6],[5,8],[7]]=>22 [2,6,4,5,8,7,3,1]=>[4,6,8,5,7,2,3,1]=>[1,3,2,7,5,8,6,4]=>[[1,2,4,6],[3,5,7],[8]]=>15 [2,6,4,8,7,5,3,1]=>[8,4,6,7,5,2,3,1]=>[1,3,2,5,7,6,4,8]=>[[1,2,4,5,8],[3,6],[7]]=>17 [8,2,4,6,7,5,3,1]=>[2,8,6,7,4,5,3,1]=>[1,3,5,4,7,6,8,2]=>[[1,2,3,5,7],[4,6],[8]]=>19 [6,2,4,8,7,5,3,1]=>[8,2,6,7,4,5,3,1]=>[1,3,5,4,7,6,2,8]=>[[1,2,3,5,8],[4,6],[7]]=>18 [4,2,6,8,7,5,3,1]=>[8,6,7,2,4,5,3,1]=>[1,3,5,4,2,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>17 [4,2,6,5,8,7,3,1]=>[6,8,2,4,5,7,3,1]=>[1,3,7,5,4,2,8,6]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [6,2,4,5,8,7,3,1]=>[2,6,8,4,5,7,3,1]=>[1,3,7,5,4,8,6,2]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [8,2,6,7,4,5,3,1]=>[6,2,8,7,4,5,3,1]=>[1,3,5,4,7,8,2,6]=>[[1,2,3,5,6],[4,8],[7]]=>21 [8,6,7,2,4,5,3,1]=>[6,2,4,8,7,5,3,1]=>[1,3,5,7,8,4,2,6]=>[[1,2,3,4,5],[6,8],[7]]=>23 [6,4,5,2,8,7,3,1]=>[4,2,6,8,5,7,3,1]=>[1,3,7,5,8,6,2,4]=>[[1,2,3,5],[4,6],[7,8]]=>18 [6,2,8,7,4,5,3,1]=>[8,6,2,7,4,5,3,1]=>[1,3,5,4,7,2,6,8]=>[[1,2,3,5,8],[4,7],[6]]=>20 [6,4,8,7,5,2,3,1]=>[8,4,6,2,7,5,3,1]=>[1,3,5,7,2,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>22 [4,6,8,7,5,2,3,1]=>[8,6,7,4,2,5,3,1]=>[1,3,5,2,4,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>21 [4,6,5,8,7,2,3,1]=>[6,8,4,5,2,7,3,1]=>[1,3,7,2,5,4,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>19 [2,1,6,8,7,4,5,3]=>[8,6,2,7,4,5,1,3]=>[3,1,5,4,7,2,6,8]=>[[1,3,5,8],[2,4,7],[6]]=>13 [2,6,8,7,4,5,3,1]=>[8,6,4,7,5,2,3,1]=>[1,3,2,5,7,4,6,8]=>[[1,2,4,5,8],[3,6,7]]=>19 [2,4,8,6,7,5,3,1]=>[6,8,7,4,5,2,3,1]=>[1,3,2,5,4,7,8,6]=>[[1,2,4,6,7],[3,5,8]]=>17 [4,2,8,6,7,5,3,1]=>[6,8,7,2,4,5,3,1]=>[1,3,5,4,2,7,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>18 [6,2,8,4,7,5,3,1]=>[6,8,2,7,4,5,3,1]=>[1,3,5,4,7,2,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>19 [4,6,8,2,7,5,3,1]=>[6,8,4,7,2,5,3,1]=>[1,3,5,2,7,4,8,6]=>[[1,2,3,5,7],[4,6,8]]=>19 [4,6,8,7,2,5,3,1]=>[8,6,4,7,2,5,3,1]=>[1,3,5,2,7,4,6,8]=>[[1,2,3,5,8],[4,6,7]]=>20 [4,6,5,8,2,7,3,1]=>[6,4,5,8,2,7,3,1]=>[1,3,7,2,8,5,4,6]=>[[1,2,3,5],[4,6,8],[7]]=>18 [2,1,6,8,4,7,5,3]=>[6,8,2,7,4,5,1,3]=>[3,1,5,4,7,2,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>12 [2,1,8,6,4,7,5,3]=>[2,6,8,7,4,5,1,3]=>[3,1,5,4,7,8,6,2]=>[[1,3,5,6],[2,4,7],[8]]=>13 [6,8,7,4,2,5,3,1]=>[2,8,6,4,7,5,3,1]=>[1,3,5,7,4,6,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>23 [2,8,6,4,7,5,3,1]=>[4,6,8,7,5,2,3,1]=>[1,3,2,5,7,8,6,4]=>[[1,2,4,5,6],[3,7],[8]]=>19 [4,2,5,6,3,8,1,7]=>[2,4,5,6,8,3,1,7]=>[7,1,3,8,6,5,4,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [6,2,5,7,4,8,3,1]=>[6,5,7,2,4,8,3,1]=>[1,3,8,4,2,7,5,6]=>[[1,2,3,6,8],[4,7],[5]]=>17 [8,5,2,1,4,7,6,3]=>[2,5,8,1,4,7,6,3]=>[3,6,7,4,1,8,5,2]=>[[1,2,3,6],[4,7],[5,8]]=>16 [6,7,3,2,5,8,4,1]=>[3,2,6,7,5,8,4,1]=>[1,4,8,5,7,6,2,3]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [2,3,6,4,7,8,5,1]=>[2,6,7,8,3,4,5,1]=>[1,5,4,3,8,7,6,2]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [7,5,1,8,3,4,6,2]=>[5,1,7,3,4,8,6,2]=>[2,6,8,4,3,7,1,5]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [7,1,6,3,5,8,4,2]=>[7,1,6,5,8,3,4,2]=>[2,4,3,8,5,6,1,7]=>[[1,2,4,6,8],[3,5],[7]]=>16 [6,3,1,7,8,4,5,2]=>[6,7,1,3,4,8,5,2]=>[2,5,8,4,3,1,7,6]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [5,3,6,7,4,1,8,2]=>[3,5,6,1,7,4,8,2]=>[2,8,4,7,1,6,5,3]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [7,3,1,2,5,8,6,4]=>[3,1,7,8,2,5,6,4]=>[4,6,5,2,8,7,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [1,6,3,5,2,4,8,7]=>[6,5,1,3,8,2,4,7]=>[7,4,2,8,3,1,5,6]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [6,3,2,8,5,7,4,1]=>[8,3,6,2,5,7,4,1]=>[1,4,7,5,2,6,3,8]=>[[1,2,3,6,8],[4,7],[5]]=>17 [2,4,8,1,5,3,7,6]=>[4,2,5,8,7,1,3,6]=>[6,3,1,7,8,5,2,4]=>[[1,4,5],[2,6,8],[3,7]]=>10 [1,8,4,6,7,3,5,2]=>[4,8,6,3,7,5,1,2]=>[2,1,5,7,3,6,8,4]=>[[1,3,4,7],[2,5,6],[8]]=>16 [7,6,5,4,1,2,8,3]=>[1,2,7,6,5,4,8,3]=>[3,8,4,5,6,7,2,1]=>[[1,2,4,5,6],[3],[7],[8]]=>19 [2,8,1,6,5,7,4,3]=>[8,2,6,5,7,4,1,3]=>[3,1,4,7,5,6,2,8]=>[[1,3,4,6,8],[2,5],[7]]=>15 [5,2,3,7,6,1,8,4]=>[7,2,3,5,1,6,8,4]=>[4,8,6,1,5,3,2,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [8,1,2,4,6,7,3,5]=>[4,8,6,1,2,3,7,5]=>[5,7,3,2,1,6,8,4]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [7,2,4,8,5,3,6,1]=>[7,4,5,2,3,8,6,1]=>[1,6,8,3,2,5,4,7]=>[[1,2,3,8],[4,6],[5,7]]=>17 [3,7,5,1,8,4,6,2]=>[3,7,8,1,5,4,6,2]=>[2,6,4,5,1,8,7,3]=>[[1,2,4,6],[3,7],[5,8]]=>15 [2,7,8,5,4,6,1,3]=>[7,5,4,8,6,2,1,3]=>[3,1,2,6,8,4,5,7]=>[[1,3,4,5,8],[2,6,7]]=>18 [5,7,4,3,8,6,2,1]=>[7,5,4,8,3,6,2,1]=>[1,2,6,3,8,4,5,7]=>[[1,2,3,5,7,8],[4,6]]=>20 [8,3,1,7,4,2,5,6]=>[1,3,8,4,2,5,7,6]=>[6,7,5,2,4,8,3,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [2,3,6,8,7,1,4,5]=>[8,6,2,7,3,1,4,5]=>[5,4,1,3,7,2,6,8]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [4,3,2,8,5,7,1,6]=>[8,4,3,7,2,5,1,6]=>[6,1,5,2,7,3,4,8]=>[[1,3,5,7,8],[2,6],[4]]=>13 [3,6,4,2,8,5,7,1]=>[3,6,8,4,2,5,7,1]=>[1,7,5,2,4,8,6,3]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [4,7,3,2,5,1,8,6]=>[4,3,2,7,5,8,1,6]=>[6,1,8,5,7,2,3,4]=>[[1,3,5,8],[2,4],[6,7]]=>13 [4,2,3,8,6,5,1,7]=>[4,8,2,6,3,5,1,7]=>[7,1,5,3,6,2,8,4]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [2,4,3,5,1,8,6,7]=>[4,8,2,3,5,1,6,7]=>[7,6,1,5,3,2,8,4]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [3,7,8,5,6,1,2,4]=>[7,5,1,8,6,3,2,4]=>[4,2,3,6,8,1,5,7]=>[[1,3,4,5],[2,7,8],[6]]=>18 [3,1,6,8,4,7,2,5]=>[6,8,3,7,1,4,2,5]=>[5,2,4,1,7,3,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>12 [4,7,8,3,1,2,6,5]=>[1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]=>[[1,3,4,7],[2,5,6],[8]]=>16 [4,7,8,2,1,3,6,5]=>[2,1,7,4,8,6,3,5]=>[5,3,6,8,4,7,1,2]=>[[1,3,4],[2,5,6],[7,8]]=>15 [4,6,1,8,2,3,7,5]=>[1,6,4,8,2,7,3,5]=>[5,3,7,2,8,4,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [4,1,6,8,2,3,7,5]=>[4,1,6,8,2,7,3,5]=>[5,3,7,2,8,6,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [4,5,1,2,8,3,7,6]=>[1,4,5,8,2,7,3,6]=>[6,3,7,2,8,5,4,1]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [4,5,2,1,8,3,7,6]=>[4,2,5,8,1,7,3,6]=>[6,3,7,1,8,5,2,4]=>[[1,3,5],[2,6,8],[4,7]]=>11 [4,6,2,8,1,3,7,5]=>[6,4,2,8,1,7,3,5]=>[5,3,7,1,8,2,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>13 [3,6,2,8,4,7,1,5]=>[3,6,8,2,7,4,1,5]=>[5,1,4,7,2,8,6,3]=>[[1,3,4,6],[2,7],[5,8]]=>14 [2,3,6,8,4,7,5,1]=>[6,8,2,7,3,4,5,1]=>[1,5,4,3,7,2,8,6]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [3,2,6,8,4,7,1,5]=>[8,6,3,7,2,4,1,5]=>[5,1,4,2,7,3,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>13 [4,2,6,8,3,1,7,5]=>[8,4,2,6,3,7,1,5]=>[5,1,7,3,6,2,4,8]=>[[1,3,5,8],[2,4],[6,7]]=>13 [4,1,2,5,8,3,7,6]=>[1,8,2,4,5,7,3,6]=>[6,3,7,5,4,2,8,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [5,2,4,1,3,8,7,6]=>[5,2,8,1,4,7,3,6]=>[6,3,7,4,1,8,2,5]=>[[1,3,6],[2,4,8],[5,7]]=>10 [3,2,5,4,8,7,1,6]=>[8,3,5,7,2,4,1,6]=>[6,1,4,2,7,5,3,8]=>[[1,3,5,8],[2,6],[4,7]]=>11 [3,5,2,4,8,7,1,6]=>[5,8,3,7,2,4,1,6]=>[6,1,4,2,7,3,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>12 [5,4,2,1,3,8,7,6]=>[2,1,5,8,4,7,3,6]=>[6,3,7,4,8,5,1,2]=>[[1,3,5],[2,4,6],[7,8]]=>11 [5,1,4,2,3,8,7,6]=>[1,5,8,2,4,7,3,6]=>[6,3,7,4,2,8,5,1]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [5,4,1,3,2,8,7,6]=>[5,1,4,8,3,7,2,6]=>[6,2,7,3,8,4,1,5]=>[[1,3,5,8],[2,4,6],[7]]=>11 [5,4,3,1,2,8,7,6]=>[1,5,4,8,3,7,2,6]=>[6,2,7,3,8,4,5,1]=>[[1,3,5,7],[2,4,6],[8]]=>12 [4,5,3,1,8,2,7,6]=>[4,5,3,8,1,7,2,6]=>[6,2,7,1,8,3,5,4]=>[[1,3,5],[2,6,7],[4,8]]=>12 [4,5,1,3,8,2,7,6]=>[8,1,4,5,3,7,2,6]=>[6,2,7,3,5,4,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [3,1,5,4,8,7,2,6]=>[8,5,7,1,3,4,2,6]=>[6,2,4,3,1,7,5,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [3,5,4,1,8,7,2,6]=>[5,8,3,4,1,7,2,6]=>[6,2,7,1,4,3,8,5]=>[[1,3,7],[2,5,8],[4,6]]=>12 [3,6,5,8,7,1,2,4]=>[6,8,5,1,7,3,2,4]=>[4,2,3,7,1,5,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>16 [2,5,6,8,7,3,4,1]=>[8,5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5,8]=>[[1,2,4,8],[3,6],[5,7]]=>16 [3,4,5,1,8,7,2,6]=>[8,3,4,5,1,7,2,6]=>[6,2,7,1,5,4,3,8]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [2,4,6,8,3,7,5,1]=>[8,6,4,7,2,3,5,1]=>[1,5,3,2,7,4,6,8]=>[[1,2,5,7,8],[3,6],[4]]=>14 [3,4,5,2,8,7,1,6]=>[8,3,4,5,7,2,1,6]=>[6,1,2,7,5,4,3,8]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [5,3,1,4,2,8,7,6]=>[1,3,5,8,4,7,2,6]=>[6,2,7,4,8,5,3,1]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [5,1,3,2,4,8,7,6]=>[3,8,1,2,5,7,4,6]=>[6,4,7,5,2,1,8,3]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [5,3,2,1,4,8,7,6]=>[3,2,8,1,5,7,4,6]=>[6,4,7,5,1,8,2,3]=>[[1,3,6],[2,4,8],[5,7]]=>10 [3,2,4,5,8,7,1,6]=>[8,3,7,2,4,5,1,6]=>[6,1,5,4,2,7,3,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [4,2,3,5,8,1,7,6]=>[4,2,8,3,5,7,1,6]=>[6,1,7,5,3,8,2,4]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [5,1,2,3,4,8,7,6]=>[8,1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [8,6,2,5,4,1,3,7]=>[6,5,2,1,4,3,8,7]=>[7,8,3,4,1,2,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>18 [6,5,7,4,2,8,3,1]=>[6,5,2,7,4,8,3,1]=>[1,3,8,4,7,2,5,6]=>[[1,2,3,5,8],[4,7],[6]]=>20 [6,7,5,3,8,2,4,1]=>[6,3,7,5,2,8,4,1]=>[1,4,8,2,5,7,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>21 [8,2,1,6,3,4,5,7]=>[2,1,6,3,4,5,8,7]=>[7,8,5,4,3,6,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>11 [8,3,5,6,2,4,1,7]=>[5,6,3,2,4,1,8,7]=>[7,8,1,4,2,3,6,5]=>[[1,2,6,7],[3,4],[5,8]]=>17 [8,6,2,1,3,5,4,7]=>[2,6,1,3,5,4,8,7]=>[7,8,4,5,3,1,6,2]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [8,1,2,3,4,6,5,7]=>[6,1,2,3,4,5,8,7]=>[7,8,5,4,3,2,1,6]=>[[1,2],[3,8],[4],[5],[6],[7]]=>8 [6,2,3,7,8,4,5,1]=>[6,7,2,3,4,8,5,1]=>[1,5,8,4,3,2,7,6]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [1,5,6,7,3,4,8,2]=>[5,6,3,7,4,8,1,2]=>[2,1,8,4,7,3,6,5]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [8,4,7,6,2,1,3,5]=>[2,1,8,7,4,3,6,5]=>[5,6,3,4,7,8,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>20 [5,3,8,4,7,2,6,1]=>[5,8,3,7,4,2,6,1]=>[1,6,2,4,7,3,8,5]=>[[1,2,4,5,7],[3,8],[6]]=>18 [8,1,3,7,6,4,2,5]=>[3,8,7,4,1,2,6,5]=>[5,6,2,1,4,7,8,3]=>[[1,2,6,7],[3,5],[4,8]]=>16 [5,3,1,7,8,6,2,4]=>[7,8,1,3,5,2,6,4]=>[4,6,2,5,3,1,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [3,5,8,2,7,1,6,4]=>[5,8,7,3,2,6,1,4]=>[4,1,6,2,3,7,8,5]=>[[1,3,5,6,7],[2,4,8]]=>15 [6,2,8,5,3,1,7,4]=>[2,8,6,3,1,5,7,4]=>[4,7,5,1,3,6,8,2]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [3,4,2,8,5,1,7,6]=>[3,8,4,2,5,7,1,6]=>[6,1,7,5,2,4,8,3]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [3,8,6,5,2,1,7,4]=>[6,5,3,2,8,7,1,4]=>[4,1,7,8,2,3,5,6]=>[[1,3,4,7,8],[2,5,6]]=>17 [8,3,7,4,2,5,6,1]=>[3,4,2,8,5,7,6,1]=>[1,6,7,5,8,2,4,3]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [4,8,5,7,2,1,3,6]=>[8,4,2,1,7,5,3,6]=>[6,3,5,7,1,2,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>17 [3,4,1,8,2,6,7,5]=>[8,3,4,1,6,7,2,5]=>[5,2,7,6,1,4,3,8]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [8,4,6,3,7,1,5,2]=>[4,3,1,8,6,7,5,2]=>[2,5,7,6,8,1,3,4]=>[[1,2,3,5],[4,7,8],[6]]=>20 [6,8,3,4,1,5,7,2]=>[3,1,4,8,6,5,7,2]=>[2,7,5,6,8,4,1,3]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [5,1,7,6,2,8,4,3]=>[5,7,1,6,8,2,4,3]=>[3,4,2,8,6,1,7,5]=>[[1,2,4,7],[3,5],[6,8]]=>14 [6,8,2,5,7,4,1,3]=>[8,6,2,5,1,7,4,3]=>[3,4,7,1,5,2,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>20 [2,8,5,6,7,1,3,4]=>[5,6,2,1,8,7,3,4]=>[4,3,7,8,1,2,6,5]=>[[1,3,4],[2,6,7],[5,8]]=>16 [4,2,8,3,1,5,6,7]=>[2,4,3,1,8,5,6,7]=>[7,6,5,8,1,3,4,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [2,5,7,3,8,4,6,1]=>[7,5,2,8,3,4,6,1]=>[1,6,4,3,8,2,5,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [4,2,7,1,8,5,3,6]=>[4,7,2,8,1,5,3,6]=>[6,3,5,1,8,2,7,4]=>[[1,3,5],[2,6,7],[4,8]]=>12 [4,2,1,8,7,5,6,3]=>[8,7,2,1,4,5,6,3]=>[3,6,5,4,1,2,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [8,3,6,7,1,5,4,2]=>[3,6,8,7,1,5,4,2]=>[2,4,5,1,7,8,6,3]=>[[1,2,3,5,6],[4,7],[8]]=>20 [1,3,7,5,8,6,4,2]=>[5,7,8,6,3,4,1,2]=>[2,1,4,3,6,8,7,5]=>[[1,3,5,6],[2,4,7],[8]]=>13 [5,7,8,4,3,1,6,2]=>[7,1,8,5,4,3,6,2]=>[2,6,3,4,5,8,1,7]=>[[1,2,4,5,6],[3,8],[7]]=>20 [2,7,4,5,8,3,6,1]=>[2,7,8,4,5,3,6,1]=>[1,6,3,5,4,8,7,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [3,5,7,1,4,8,6,2]=>[5,7,3,8,1,4,6,2]=>[2,6,4,1,8,3,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>13 [1,6,5,3,8,4,2,7]=>[6,5,3,8,4,1,2,7]=>[7,2,1,4,8,3,5,6]=>[[1,4,5,8],[2,6,7],[3]]=>12 [5,7,4,8,3,6,2,1]=>[7,5,8,4,3,6,2,1]=>[1,2,6,3,4,8,5,7]=>[[1,2,3,5,6,8],[4,7]]=>21 [1,8,3,2,4,7,5,6]=>[8,3,1,2,4,7,5,6]=>[6,5,7,4,2,1,3,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [8,4,3,2,5,7,1,6]=>[4,3,8,2,5,1,7,6]=>[6,7,1,5,2,8,3,4]=>[[1,2,6,8],[3,4,7],[5]]=>16 [3,6,4,8,2,5,7,1]=>[6,3,8,4,2,5,7,1]=>[1,7,5,2,4,8,3,6]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [4,3,7,2,5,8,1,6]=>[7,4,3,8,2,5,1,6]=>[6,1,5,2,8,3,4,7]=>[[1,3,5,7,8],[2,6],[4]]=>13 [3,2,4,7,8,5,6,1]=>[7,8,3,2,4,5,6,1]=>[1,6,5,4,2,3,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [3,8,2,1,6,4,5,7]=>[3,8,2,1,4,6,5,7]=>[7,5,6,4,1,2,8,3]=>[[1,3,7],[2,6,8],[4],[5]]=>11 [8,2,1,3,4,5,7,6]=>[2,8,1,3,4,5,7,6]=>[6,7,5,4,3,1,8,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [4,6,8,3,2,1,5,7]=>[8,6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6,8]=>[[1,4,5,6,7,8],[2],[3]]=>15 [3,2,6,8,5,4,1,7]=>[8,6,3,5,2,4,1,7]=>[7,1,4,2,5,3,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>13 [7,3,8,2,5,4,1,6]=>[3,7,5,2,4,1,8,6]=>[6,8,1,4,2,5,7,3]=>[[1,2,6,7],[3,4],[5,8]]=>17 [4,2,5,3,8,7,6,1]=>[8,2,4,5,7,3,6,1]=>[1,6,3,7,5,4,2,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [2,6,8,5,4,1,3,7]=>[8,6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6,8]=>[[1,4,5,6,7,8],[2],[3]]=>15 [3,1,8,6,5,4,2,7]=>[8,6,3,5,1,4,2,7]=>[7,2,4,1,5,3,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>13 [5,4,8,7,3,2,6,1]=>[8,5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5,8]=>[[1,2,4,5,6,8],[3,7]]=>20 [6,4,8,3,7,2,5,1]=>[4,6,8,3,2,7,5,1]=>[1,5,7,2,3,8,6,4]=>[[1,2,3,6],[4,5,7],[8]]=>20 [4,7,3,6,2,1,8,5]=>[4,7,6,3,2,8,1,5]=>[5,1,8,2,3,6,7,4]=>[[1,3,5,6,7],[2,4],[8]]=>15 [5,4,3,7,1,8,2,6]=>[5,4,7,3,1,8,2,6]=>[6,2,8,1,3,7,4,5]=>[[1,3,6,8],[2,5],[4,7]]=>14 [7,3,8,5,1,4,2,6]=>[3,7,5,1,4,2,8,6]=>[6,8,2,4,1,5,7,3]=>[[1,2,6,7],[3,4],[5,8]]=>17 [5,4,8,7,6,2,1,3]=>[8,5,7,4,2,1,6,3]=>[3,6,1,2,4,7,5,8]=>[[1,2,5,6,8],[3,4,7]]=>20 [3,8,1,5,7,4,6,2]=>[8,3,7,5,1,4,6,2]=>[2,6,4,1,5,7,3,8]=>[[1,2,5,6,8],[3,7],[4]]=>15 [4,8,5,7,3,1,6,2]=>[8,4,1,7,5,3,6,2]=>[2,6,3,5,7,1,4,8]=>[[1,2,4,5,8],[3,7],[6]]=>19 [1,5,4,8,3,7,6,2]=>[8,5,4,7,3,6,1,2]=>[2,1,6,3,7,4,5,8]=>[[1,3,5,7,8],[2,4,6]]=>13 [4,7,8,3,1,6,5,2]=>[1,7,4,8,6,3,5,2]=>[2,5,3,6,8,4,7,1]=>[[1,2,4,5],[3,6,7],[8]]=>18 [8,7,5,3,6,4,2,1]=>[3,5,8,7,6,4,2,1]=>[1,2,4,6,7,8,5,3]=>[[1,2,3,4,5,6],[7],[8]]=>25 [4,6,1,3,8,7,5,2]=>[4,8,1,6,7,3,5,2]=>[2,5,3,7,6,1,8,4]=>[[1,2,4,7],[3,5],[6,8]]=>14 [6,8,2,1,7,4,5,3]=>[8,2,6,1,4,7,5,3]=>[3,5,7,4,1,6,2,8]=>[[1,2,3,8],[4,6],[5,7]]=>17 [3,7,1,6,4,2,8,5]=>[3,7,1,6,4,8,2,5]=>[5,2,8,4,6,1,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>12 [3,1,2,7,5,6,8,4]=>[1,7,3,5,6,8,2,4]=>[4,2,8,6,5,3,7,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [3,6,1,2,7,5,8,4]=>[1,3,6,7,5,8,2,4]=>[4,2,8,5,7,6,3,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [3,7,6,2,5,8,1,4]=>[3,7,6,5,8,2,1,4]=>[4,1,2,8,5,6,7,3]=>[[1,3,4,6,7],[2,5],[8]]=>16 [3,6,2,5,8,7,4,1]=>[3,6,8,5,7,2,4,1]=>[1,4,2,7,5,8,6,3]=>[[1,2,4,6],[3,5,7],[8]]=>15 [8,5,2,3,6,7,4,1]=>[2,3,5,6,8,7,4,1]=>[1,4,7,8,6,5,3,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>18 [4,7,2,6,3,8,1,5]=>[4,2,7,6,8,3,1,5]=>[5,1,3,8,6,7,2,4]=>[[1,3,4,6],[2,5],[7,8]]=>15 [6,3,2,4,8,7,5,1]=>[3,8,2,4,6,7,5,1]=>[1,5,7,6,4,2,8,3]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [3,7,2,4,6,1,8,5]=>[3,7,2,6,4,8,1,5]=>[5,1,8,4,6,2,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>12 [5,3,7,2,8,1,4,6]=>[5,3,7,2,1,8,4,6]=>[6,4,8,1,2,7,3,5]=>[[1,3,6,8],[2,5],[4,7]]=>14 [6,3,2,8,7,5,1,4]=>[8,3,6,7,2,1,5,4]=>[4,5,1,2,7,6,3,8]=>[[1,2,5,8],[3,4,6],[7]]=>17 [7,3,8,2,6,5,1,4]=>[3,7,8,6,2,1,5,4]=>[4,5,1,2,6,8,7,3]=>[[1,2,5,6],[3,4,7],[8]]=>19 [6,4,8,7,2,5,1,3]=>[4,6,8,2,1,7,5,3]=>[3,5,7,1,2,8,6,4]=>[[1,2,3,6],[4,5,7],[8]]=>20 [2,5,4,8,1,7,6,3]=>[8,5,4,7,2,6,1,3]=>[3,1,6,2,7,4,5,8]=>[[1,3,5,7,8],[2,4,6]]=>13 [5,2,8,1,7,6,3,4]=>[8,5,7,2,1,3,6,4]=>[4,6,3,1,2,7,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>15 [6,2,1,3,8,7,5,4]=>[8,2,6,7,1,3,5,4]=>[4,5,3,1,7,6,2,8]=>[[1,2,5,8],[3,6],[4,7]]=>12 [3,6,1,8,7,5,2,4]=>[8,3,6,1,7,5,2,4]=>[4,2,5,7,1,6,3,8]=>[[1,3,4,8],[2,6],[5,7]]=>15 [5,6,1,2,8,7,4,3]=>[8,1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>14 [7,5,2,8,1,6,4,3]=>[2,1,7,8,5,6,4,3]=>[3,4,6,5,8,7,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>18 [2,7,6,8,1,5,4,3]=>[2,7,6,8,5,4,1,3]=>[3,1,4,5,8,6,7,2]=>[[1,3,4,5,7],[2,6],[8]]=>17 [7,8,5,1,6,2,4,3]=>[1,7,2,5,8,6,4,3]=>[3,4,6,8,5,2,7,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [7,4,8,6,1,2,5,3]=>[1,7,4,8,2,6,5,3]=>[3,5,6,2,8,4,7,1]=>[[1,2,3,5],[4,6,7],[8]]=>19 [7,2,1,8,3,6,5,4]=>[2,7,8,6,1,3,5,4]=>[4,5,3,1,6,8,7,2]=>[[1,2,5,6],[3,7],[4,8]]=>14 [5,8,7,1,6,4,3,2]=>[8,7,1,5,6,4,3,2]=>[2,3,4,6,5,1,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>21 [8,5,4,3,7,2,1,6]=>[5,4,8,3,2,1,7,6]=>[6,7,1,2,3,8,4,5]=>[[1,2,5,6,8],[3,4,7]]=>20 [6,5,4,8,3,2,7,1]=>[6,5,8,4,3,2,7,1]=>[1,7,2,3,4,8,5,6]=>[[1,2,4,5,6,8],[3,7]]=>20 [8,7,6,5,4,3,2,10,9,1]=>[8,7,6,5,4,3,10,2,9,1]=>[1,9,2,10,3,4,5,6,7,8]=>[[1,2,4,6,7,8,9,10],[3,5]]=>31 [7,3,1,4,8,2,5,6]=>[7,1,3,4,2,5,8,6]=>[6,8,5,2,4,3,1,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [5,7,4,6,3,1,8,2]=>[7,5,4,1,6,3,8,2]=>[2,8,3,6,1,4,5,7]=>[[1,2,4,7,8],[3,6],[5]]=>18 [7,5,1,4,3,2,8,6]=>[5,4,1,3,2,7,8,6]=>[6,8,7,2,3,1,4,5]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [8,6,4,2,3,7,5,1]=>[2,4,3,6,8,7,5,1]=>[1,5,7,8,6,3,4,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [6,4,7,1,3,8,5,2]=>[1,4,6,3,7,8,5,2]=>[2,5,8,7,3,6,4,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [5,4,2,7,3,1,6,8]=>[5,4,2,7,3,1,6,8]=>[8,6,1,3,7,2,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [4,5,1,2,7,6,8,3]=>[1,4,7,2,5,6,8,3]=>[3,8,6,5,2,7,4,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [5,4,6,8,3,1,2,7]=>[5,8,4,1,6,3,2,7]=>[7,2,3,6,1,4,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>16 [1,3,8,4,5,7,2,6]=>[8,3,4,7,5,1,2,6]=>[6,2,1,5,7,4,3,8]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [4,6,1,3,7,2,5,8]=>[6,1,4,7,3,2,5,8]=>[8,5,2,3,7,4,1,6]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [7,5,8,6,2,1,3,4]=>[5,2,1,7,3,8,6,4]=>[4,6,8,3,7,1,2,5]=>[[1,2,3],[4,5,8],[6,7]]=>20 [8,4,2,3,6,5,7,1]=>[2,4,6,3,5,8,7,1]=>[1,7,8,5,3,6,4,2]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [7,3,8,4,1,2,6,5]=>[3,1,7,4,8,2,6,5]=>[5,6,2,8,4,7,1,3]=>[[1,2,4],[3,5,6],[7,8]]=>16 [6,8,3,2,7,1,5,4]=>[3,2,6,8,1,7,5,4]=>[4,5,7,1,8,6,2,3]=>[[1,2,3,5],[4,6,8],[7]]=>18 [2,8,5,6,3,7,1,4]=>[5,2,6,8,7,3,1,4]=>[4,1,3,7,8,6,2,5]=>[[1,3,4,5],[2,6],[7,8]]=>16 [7,4,2,5,8,1,6,3]=>[2,4,5,1,7,8,6,3]=>[3,6,8,7,1,5,4,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [2,7,8,3,4,5,1,6]=>[2,3,7,4,8,5,1,6]=>[6,1,5,8,4,7,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [7,5,6,8,2,1,4,3]=>[5,2,1,7,6,8,4,3]=>[3,4,8,6,7,1,2,5]=>[[1,2,3,5],[4,7,8],[6]]=>20 [2,8,6,5,3,4,1,7]=>[2,8,6,3,5,4,1,7]=>[7,1,4,5,3,6,8,2]=>[[1,3,4,6,7],[2],[5],[8]]=>16 [1,7,2,3,5,6,8,4]=>[1,7,2,5,6,8,3,4]=>[4,3,8,6,5,2,7,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [3,4,6,2,8,5,7,1]=>[6,8,3,4,2,5,7,1]=>[1,7,5,2,4,3,8,6]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [4,7,2,6,5,1,3,8]=>[7,4,6,2,1,5,3,8]=>[8,3,5,1,2,6,4,7]=>[[1,3,6,8],[2,5,7],[4]]=>14 [3,7,4,1,2,5,8,6]=>[3,1,4,2,7,8,5,6]=>[6,5,8,7,2,4,1,3]=>[[1,3],[2,4],[5,6],[7,8]]=>10 [4,3,7,1,6,8,5,2]=>[4,7,3,6,8,1,5,2]=>[2,5,1,8,6,3,7,4]=>[[1,2,4,7],[3,5,8],[6]]=>14 [4,2,1,7,5,6,8,3]=>[7,2,1,4,5,6,8,3]=>[3,8,6,5,4,1,2,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [3,2,4,8,6,7,1,5]=>[3,8,6,7,2,4,1,5]=>[5,1,4,2,7,6,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>12 [4,2,6,8,7,3,1,5]=>[8,4,6,2,7,3,1,5]=>[5,1,3,7,2,6,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>15 [3,4,6,1,8,5,2,7]=>[6,3,4,8,1,5,2,7]=>[7,2,5,1,8,4,3,6]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [4,1,6,7,5,8,2,3]=>[6,7,4,5,1,2,8,3]=>[3,8,2,1,5,4,7,6]=>[[1,2,7],[3,5,8],[4,6]]=>13 [4,3,6,7,5,1,2,8]=>[4,6,7,3,1,5,2,8]=>[8,2,5,1,3,7,6,4]=>[[1,3,6],[2,5,7],[4],[8]]=>13 [2,8,7,4,3,5,1,6]=>[4,2,3,8,7,5,1,6]=>[6,1,5,7,8,3,2,4]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [3,8,1,4,2,6,5,7]=>[1,3,4,8,2,6,5,7]=>[7,5,6,2,8,4,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [5,8,7,6,1,2,4,3]=>[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[[1,2,3,5,6],[4,7],[8]]=>20 [4,1,7,2,6,8,5,3]=>[7,4,6,8,1,2,5,3]=>[3,5,2,1,8,6,4,7]=>[[1,2,5,8],[3,6],[4,7]]=>12 [4,2,7,3,6,5,8,1]=>[4,7,2,6,3,5,8,1]=>[1,8,5,3,6,2,7,4]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [3,8,2,4,5,6,7,1]=>[3,2,4,5,8,6,7,1]=>[1,7,6,8,5,4,2,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [3,8,2,4,1,6,7,5]=>[3,2,4,6,8,7,1,5]=>[5,1,7,8,6,4,2,3]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [4,2,7,5,6,3,8,1]=>[2,7,4,5,6,3,8,1]=>[1,8,3,6,5,4,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>14 [3,2,6,1,4,5,8,7]=>[6,3,2,8,1,4,5,7]=>[7,5,4,1,8,2,3,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [2,8,7,3,4,5,1,6]=>[2,3,4,8,7,5,1,6]=>[6,1,5,7,8,4,3,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>15 [5,8,7,6,1,3,4,2]=>[5,1,8,7,3,6,4,2]=>[2,4,6,3,7,8,1,5]=>[[1,2,3,5,6],[4,8],[7]]=>21 [2,8,7,5,4,3,1,6]=>[8,7,2,5,4,3,1,6]=>[6,1,3,4,5,2,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>18 [4,1,7,5,6,3,2,8]=>[4,7,5,6,1,3,2,8]=>[8,2,3,1,6,5,7,4]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [5,8,7,6,1,3,2,4]=>[8,1,7,5,3,2,6,4]=>[4,6,2,3,5,7,1,8]=>[[1,2,5,6,8],[3,4],[7]]=>20 [5,4,2,3,7,6,8,1]=>[2,5,4,7,3,6,8,1]=>[1,8,6,3,7,4,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [7,4,3,5,2,8,1,6]=>[4,3,5,2,7,1,8,6]=>[6,8,1,7,2,5,3,4]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [8,4,7,2,5,1,6,3]=>[8,4,2,1,5,7,6,3]=>[3,6,7,5,1,2,4,8]=>[[1,2,3,8],[4,6,7],[5]]=>19 [4,5,7,1,2,6,8,3]=>[4,1,5,7,2,6,8,3]=>[3,8,6,2,7,5,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [5,4,1,7,3,6,8,2]=>[5,7,1,4,3,6,8,2]=>[2,8,6,3,4,1,7,5]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [3,6,4,7,5,2,8,1]=>[3,6,7,4,5,2,8,1]=>[1,8,2,5,4,7,6,3]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [4,7,5,6,1,3,8,2]=>[4,1,7,5,6,3,8,2]=>[2,8,3,6,5,7,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [6,7,1,3,8,4,2,5]=>[1,6,7,3,4,2,8,5]=>[5,8,2,4,3,7,6,1]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [7,6,1,3,4,8,5,2]=>[1,3,7,4,6,8,5,2]=>[2,5,8,6,4,7,3,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>16 [3,6,5,2,7,8,1,4]=>[6,5,3,7,8,2,1,4]=>[4,1,2,8,7,3,5,6]=>[[1,3,4,7,8],[2,5],[6]]=>14 [3,2,8,6,7,1,4,5]=>[6,8,7,3,2,1,4,5]=>[5,4,1,2,3,7,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>14 [4,8,3,6,5,2,1,7]=>[4,8,3,6,5,2,1,7]=>[7,1,2,5,6,3,8,4]=>[[1,3,4,5,7],[2,8],[6]]=>17 [1,8,7,2,5,3,4,6]=>[1,8,2,3,7,5,4,6]=>[6,4,5,7,3,2,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>13 [3,7,5,1,8,2,6,4]=>[5,3,1,7,8,6,2,4]=>[4,2,6,8,7,1,3,5]=>[[1,3,4],[2,5,8],[6,7]]=>14 [7,1,2,8,3,5,6,4]=>[7,1,2,8,3,5,6,4]=>[4,6,5,3,8,2,1,7]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [6,1,7,8,2,5,3,4]=>[1,6,7,2,8,3,5,4]=>[4,5,3,8,2,7,6,1]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [5,7,6,4,2,8,1,3]=>[7,5,2,6,4,1,8,3]=>[3,8,1,4,6,2,5,7]=>[[1,2,5,8],[3,4,7],[6]]=>19 [4,1,3,7,8,6,2,5]=>[7,8,4,6,1,3,2,5]=>[5,2,3,1,6,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>12 [5,1,6,8,4,2,7,3]=>[8,5,1,6,2,4,7,3]=>[3,7,4,2,6,1,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [7,4,8,2,3,6,5,1]=>[2,7,4,8,3,6,5,1]=>[1,5,6,3,8,4,7,2]=>[[1,2,3,5],[4,6,7],[8]]=>19 [5,6,8,4,7,3,2,1]=>[8,5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5,8]=>[[1,2,3,4,6,8],[5],[7]]=>22 [6,4,7,8,5,2,1,3]=>[4,6,7,2,1,8,5,3]=>[3,5,8,1,2,7,6,4]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [3,6,4,8,5,1,2,7]=>[6,3,8,4,1,5,2,7]=>[7,2,5,1,4,8,3,6]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [3,7,4,8,1,2,5,6]=>[7,3,1,4,2,8,5,6]=>[6,5,8,2,4,1,3,7]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [8,7,1,3,5,4,6,2]=>[8,1,3,5,4,7,6,2]=>[2,6,7,4,5,3,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [7,1,8,3,4,2,6,5]=>[1,7,3,4,8,2,6,5]=>[5,6,2,8,4,3,7,1]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [7,6,8,3,1,4,5,2]=>[1,3,7,6,4,8,5,2]=>[2,5,8,4,6,7,3,1]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [4,8,5,2,1,3,6,7]=>[4,2,1,5,3,8,6,7]=>[7,6,8,3,5,1,2,4]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [6,8,2,3,7,4,1,5]=>[6,2,3,8,4,1,7,5]=>[5,7,1,4,8,3,2,6]=>[[1,2,5],[3,4,8],[6],[7]]=>17 [8,1,3,6,2,5,4,7]=>[3,6,5,1,2,4,8,7]=>[7,8,4,2,1,5,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [7,2,1,6,3,5,4,8]=>[2,7,6,1,3,5,4,8]=>[8,4,5,3,1,6,7,2]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [2,7,1,5,4,3,6,8]=>[7,2,5,1,4,3,6,8]=>[8,6,3,4,1,5,2,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [8,1,3,5,4,2,6,7]=>[5,3,4,1,2,6,8,7]=>[7,8,6,2,1,4,3,5]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [8,1,5,6,2,3,7,4]=>[1,5,2,3,8,6,7,4]=>[4,7,6,8,3,2,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [8,1,4,5,3,2,6,7]=>[4,5,3,1,2,6,8,7]=>[7,8,6,2,1,3,5,4]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [2,7,1,4,5,3,6,8]=>[7,2,1,4,5,3,6,8]=>[8,6,3,5,4,1,2,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [6,3,2,1,5,4,7,8]=>[3,2,6,1,5,4,7,8]=>[8,7,4,5,1,6,2,3]=>[[1,4,6],[2,7,8],[3],[5]]=>9 [7,3,1,4,5,2,6,8]=>[1,3,4,5,2,7,6,8]=>[8,6,7,2,5,4,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>10 [7,3,1,6,2,5,4,8]=>[3,7,1,6,2,5,4,8]=>[8,4,5,2,6,1,7,3]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [3,7,1,6,2,5,4,8]=>[3,7,1,6,5,2,4,8]=>[8,4,2,5,6,1,7,3]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [3,7,1,4,5,2,6,8]=>[1,3,4,7,5,2,6,8]=>[8,6,2,5,7,4,3,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>9 [3,5,2,4,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[8,7,6,1,4,2,3,5]=>[[1,5,7,8],[2],[3],[4],[6]]=>7 [2,6,4,1,5,3,7,8]=>[4,2,6,5,1,3,7,8]=>[8,7,3,1,5,6,2,4]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [6,7,1,2,8,3,5,4]=>[6,1,2,3,7,8,5,4]=>[4,5,8,7,3,2,1,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [6,7,1,2,5,4,3,8]=>[6,7,1,2,5,4,3,8]=>[8,3,4,5,2,1,7,6]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [5,6,2,1,3,7,4,8]=>[2,1,5,3,6,7,4,8]=>[8,4,7,6,3,5,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>10 [5,2,6,1,3,7,4,8]=>[5,2,1,3,6,7,4,8]=>[8,4,7,6,3,1,2,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [2,4,6,1,5,3,7,8]=>[6,4,2,5,1,3,7,8]=>[8,7,3,1,5,2,4,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [4,7,1,3,5,2,6,8]=>[4,1,3,7,5,2,6,8]=>[8,6,2,5,7,3,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [5,7,1,4,2,6,3,8]=>[1,5,2,7,4,6,3,8]=>[8,3,6,4,7,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [4,2,5,3,1,6,7,8]=>[2,4,5,3,1,6,7,8]=>[8,7,6,1,3,5,4,2]=>[[1,5,6],[2],[3],[4],[7],[8]]=>7 [5,3,6,1,2,7,4,8]=>[3,1,5,2,6,7,4,8]=>[8,4,7,6,2,5,1,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>10 [3,4,6,1,5,2,7,8]=>[3,4,6,1,5,2,7,8]=>[8,7,2,5,1,6,4,3]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [6,5,1,8,7,3,4,2]=>[6,8,5,1,3,7,4,2]=>[2,4,7,3,1,5,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>18 [8,2,7,5,4,1,3,6]=>[8,5,2,1,4,3,7,6]=>[6,7,3,4,1,2,5,8]=>[[1,2,7,8],[3,4],[5,6]]=>18 [6,8,5,2,3,4,1,7]=>[2,3,8,6,5,4,1,7]=>[7,1,4,5,6,8,3,2]=>[[1,3,4,5,6],[2],[7],[8]]=>18 [8,5,6,2,7,1,4,3]=>[2,5,1,6,8,7,4,3]=>[3,4,7,8,6,1,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [6,5,1,2,7,8,4,3]=>[6,1,2,5,7,8,4,3]=>[3,4,8,7,5,2,1,6]=>[[1,2,3,8],[4],[5],[6],[7]]=>14 [4,7,6,1,5,3,8,2]=>[7,4,6,1,5,3,8,2]=>[2,8,3,5,1,6,4,7]=>[[1,2,4,6,8],[3,7],[5]]=>16 [7,6,2,4,5,3,8,1]=>[2,7,4,6,5,3,8,1]=>[1,8,3,5,6,4,7,2]=>[[1,2,4,5,7],[3],[6],[8]]=>18 [6,1,7,5,3,8,4,2]=>[6,1,7,5,8,3,4,2]=>[2,4,3,8,5,7,1,6]=>[[1,2,4,6],[3,5],[7,8]]=>16 [8,5,2,7,1,6,4,3]=>[2,8,1,7,5,6,4,3]=>[3,4,6,5,7,1,8,2]=>[[1,2,3,5,7],[4,8],[6]]=>19 [7,6,1,5,3,8,4,2]=>[1,7,6,3,5,8,4,2]=>[2,4,8,5,3,6,7,1]=>[[1,2,3,6,7],[4],[5],[8]]=>18 [4,8,5,6,7,2,3,1]=>[4,5,8,6,2,7,3,1]=>[1,3,7,2,6,8,5,4]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [5,8,6,4,1,2,7,3]=>[1,5,2,8,6,4,7,3]=>[3,7,4,6,8,2,5,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [5,8,6,1,7,2,4,3]=>[1,8,5,2,6,7,4,3]=>[3,4,7,6,2,5,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [5,8,7,3,2,6,4,1]=>[5,3,8,7,2,6,4,1]=>[1,4,6,2,7,8,3,5]=>[[1,2,3,5,6],[4,7,8]]=>21 [5,8,1,7,2,6,4,3]=>[8,5,7,1,2,6,4,3]=>[3,4,6,2,1,7,5,8]=>[[1,2,3,6,8],[4,7],[5]]=>17 [8,1,5,7,2,6,4,3]=>[8,1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1,8]=>[[1,2,4,5,8],[3,6],[7]]=>17 [8,1,7,2,5,6,3,4]=>[8,1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [5,8,7,2,1,6,3,4]=>[2,5,1,8,7,3,6,4]=>[4,6,3,7,8,1,5,2]=>[[1,2,4,5],[3,7],[6,8]]=>18 [4,8,1,5,2,6,7,3]=>[1,4,2,8,5,6,7,3]=>[3,7,6,5,8,2,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [3,7,8,5,1,6,2,4]=>[7,5,3,1,8,6,2,4]=>[4,2,6,8,1,3,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>17 [7,1,2,8,5,6,3,4]=>[1,7,8,5,2,3,6,4]=>[4,6,3,2,5,8,7,1]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [8,7,2,1,5,6,3,4]=>[2,8,5,1,3,7,6,4]=>[4,6,7,3,1,5,8,2]=>[[1,2,3,7],[4,6],[5,8]]=>18 [6,1,7,8,5,2,3,4]=>[6,1,7,2,8,3,5,4]=>[4,5,3,8,2,7,1,6]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [4,5,3,6,8,2,7,1]=>[4,5,8,3,6,2,7,1]=>[1,7,2,6,3,8,5,4]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [5,6,3,4,8,1,7,2]=>[5,3,6,4,8,1,7,2]=>[2,7,1,8,4,6,3,5]=>[[1,2,4],[3,5,6],[7,8]]=>16 [4,6,7,8,5,1,3,2]=>[6,7,4,8,1,5,3,2]=>[2,3,5,1,8,4,7,6]=>[[1,2,3,5],[4,6,7],[8]]=>19 [5,1,8,6,3,4,7,2]=>[5,1,8,6,3,4,7,2]=>[2,7,4,3,6,8,1,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [6,4,5,8,3,2,7,1]=>[4,6,8,5,3,2,7,1]=>[1,7,2,3,5,8,6,4]=>[[1,2,4,5,6],[3,7],[8]]=>19 [6,5,8,1,3,4,7,2]=>[1,6,5,3,8,4,7,2]=>[2,7,4,8,3,5,6,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [5,6,8,3,1,2,7,4]=>[5,1,6,3,8,2,7,4]=>[4,7,2,8,3,6,1,5]=>[[1,2,4],[3,5,6],[7,8]]=>16 [6,1,8,3,5,2,7,4]=>[1,6,8,3,2,5,7,4]=>[4,7,5,2,3,8,6,1]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [7,6,8,3,5,2,1,4]=>[3,7,6,2,1,8,5,4]=>[4,5,8,1,2,6,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>22 [8,6,1,3,5,2,7,4]=>[6,3,1,2,5,8,7,4]=>[4,7,8,5,2,1,3,6]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [8,7,1,3,5,6,2,4]=>[3,8,5,1,2,7,6,4]=>[4,6,7,2,1,5,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>18 [3,4,8,1,2,6,7,5]=>[3,1,4,8,6,7,2,5]=>[5,2,7,6,8,4,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [5,8,2,4,3,6,7,1]=>[5,2,4,3,8,6,7,1]=>[1,7,6,8,3,4,2,5]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [6,8,2,3,5,1,7,4]=>[6,2,3,1,8,5,7,4]=>[4,7,5,8,1,3,2,6]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [7,8,2,3,5,6,1,4]=>[7,2,3,5,1,8,6,4]=>[4,6,8,1,5,3,2,7]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [8,6,5,1,4,3,7,2]=>[6,5,1,4,3,8,7,2]=>[2,7,8,3,4,1,5,6]=>[[1,2,3,7,8],[4,5],[6]]=>20 [2,4,8,6,1,3,7,5]=>[6,4,2,8,7,1,3,5]=>[5,3,1,7,8,2,4,6]=>[[1,4,5,8],[2,6,7],[3]]=>12 [6,7,1,8,4,3,5,2]=>[6,7,4,1,3,8,5,2]=>[2,5,8,3,1,4,7,6]=>[[1,2,3,7],[4,6],[5,8]]=>18 [2,7,3,8,1,6,4,5]=>[2,7,8,3,1,6,4,5]=>[5,4,6,1,3,8,7,2]=>[[1,3,6],[2,5,7],[4],[8]]=>13 [2,7,8,4,1,6,3,5]=>[7,2,4,1,8,6,3,5]=>[5,3,6,8,1,4,2,7]=>[[1,3,4],[2,6,8],[5,7]]=>15 [2,6,5,4,1,3,8,7]=>[6,5,4,2,8,1,3,7]=>[7,3,1,8,2,4,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>11 [3,4,6,5,1,8,2,7]=>[6,3,4,5,1,8,2,7]=>[7,2,8,1,5,4,3,6]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [2,6,5,3,4,1,8,7]=>[2,6,5,3,4,8,1,7]=>[7,1,8,4,3,5,6,2]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [6,2,5,1,8,3,4,7]=>[6,5,2,1,3,8,4,7]=>[7,4,8,3,1,2,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [7,6,5,2,8,3,4,1]=>[7,2,6,5,3,8,4,1]=>[1,4,8,3,5,6,2,7]=>[[1,2,3,6,8],[4,5],[7]]=>21 [2,6,3,5,1,8,7,4]=>[6,2,5,8,3,7,1,4]=>[4,1,7,3,8,5,2,6]=>[[1,3,5,8],[2,4,6],[7]]=>11 [2,1,4,8,7,6,3,5]=>[8,7,6,2,4,1,3,5]=>[5,3,1,4,2,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>11 [7,4,6,8,5,3,2,1]=>[7,4,6,8,5,3,2,1]=>[1,2,3,5,8,6,4,7]=>[[1,2,3,4,5,8],[6],[7]]=>23 [8,1,3,5,7,4,6,2]=>[8,7,1,3,5,4,6,2]=>[2,6,4,5,3,1,7,8]=>[[1,2,4,7,8],[3],[5],[6]]=>15 [4,8,5,1,6,7,2,3]=>[1,4,5,8,6,2,7,3]=>[3,7,2,6,8,5,4,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [3,8,5,1,6,7,2,4]=>[5,3,6,1,8,7,2,4]=>[4,2,7,8,1,6,3,5]=>[[1,3,4],[2,6,8],[5,7]]=>15 [7,8,6,1,3,5,2,4]=>[3,7,1,2,8,6,5,4]=>[4,5,6,8,2,1,7,3]=>[[1,2,3,4],[5,7],[6,8]]=>20 [5,6,7,2,8,1,3,4]=>[5,2,6,1,7,3,8,4]=>[4,8,3,7,1,6,2,5]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [2,5,1,8,6,7,4,3]=>[2,8,5,6,7,4,1,3]=>[3,1,4,7,6,5,8,2]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [5,1,3,8,6,7,4,2]=>[1,8,5,6,7,3,4,2]=>[2,4,3,7,6,5,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [3,2,5,8,6,7,4,1]=>[3,8,5,6,7,2,4,1]=>[1,4,2,7,6,5,8,3]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [8,7,6,2,5,3,1,4]=>[2,8,3,1,7,6,5,4]=>[4,5,6,7,1,3,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>23 [4,7,6,8,3,2,5,1]=>[7,6,8,4,3,2,5,1]=>[1,5,2,3,4,8,6,7]=>[[1,2,4,5,6,8],[3,7]]=>20 [2,7,5,8,1,3,4,6]=>[7,2,1,8,3,5,4,6]=>[6,4,5,3,8,1,2,7]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [6,3,8,1,4,2,5,7]=>[1,3,6,4,2,8,5,7]=>[7,5,8,2,4,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>13 [6,3,8,5,7,4,1,2]=>[8,6,3,5,1,7,4,2]=>[2,4,7,1,5,3,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>20 [7,4,6,8,5,1,3,2]=>[7,4,1,6,8,5,3,2]=>[2,3,5,8,6,1,4,7]=>[[1,2,3,4,8],[5,7],[6]]=>21 [2,5,8,4,6,7,3,1]=>[5,4,8,6,7,2,3,1]=>[1,3,2,7,6,8,4,5]=>[[1,2,4,6],[3,5,8],[7]]=>16 [5,8,3,4,6,7,2,1]=>[3,5,4,8,6,7,2,1]=>[1,2,7,6,8,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [8,4,3,2,6,7,1,5]=>[4,8,3,2,6,1,7,5]=>[5,7,1,6,2,3,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>17 [4,2,8,1,6,7,3,5]=>[8,4,2,6,1,7,3,5]=>[5,3,7,1,6,2,4,8]=>[[1,3,7,8],[2,5],[4,6]]=>13 [7,8,5,3,6,4,2,1]=>[3,7,5,8,6,4,2,1]=>[1,2,4,6,8,5,7,3]=>[[1,2,3,4,5],[6,7],[8]]=>24 [5,8,4,1,6,7,2,3]=>[5,1,4,8,6,2,7,3]=>[3,7,2,6,8,4,1,5]=>[[1,2,5],[3,4,8],[6],[7]]=>17 [3,8,1,4,6,7,2,5]=>[1,8,3,6,7,4,2,5]=>[5,2,4,7,6,3,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [7,4,3,2,8,5,1,6]=>[4,3,7,2,5,1,8,6]=>[6,8,1,5,2,7,3,4]=>[[1,2,6,8],[3,4],[5,7]]=>16 [5,3,2,8,4,6,1,7]=>[5,3,2,8,4,6,1,7]=>[7,1,6,4,8,2,3,5]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [8,3,6,2,5,4,1,7]=>[3,6,5,2,4,1,8,7]=>[7,8,1,4,2,5,6,3]=>[[1,2,6,7],[3,4],[5,8]]=>17 [5,4,8,3,2,6,1,7]=>[8,5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5,8]=>[[1,3,5,6,7,8],[2],[4]]=>16 [3,5,8,2,4,6,1,7]=>[8,3,2,5,4,6,1,7]=>[7,1,6,4,5,2,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [6,4,7,8,2,3,1,5]=>[4,6,2,7,3,1,8,5]=>[5,8,1,3,7,2,6,4]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [5,8,3,6,4,2,1,7]=>[3,5,8,6,4,2,1,7]=>[7,1,2,4,6,8,5,3]=>[[1,3,4,5,6],[2],[7],[8]]=>18 [4,8,6,2,5,3,1,7]=>[4,8,2,6,5,3,1,7]=>[7,1,3,5,6,2,8,4]=>[[1,3,4,5,7],[2,8],[6]]=>17 [1,6,4,3,2,8,7,5]=>[6,4,8,1,3,7,2,5]=>[5,2,7,3,1,8,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>10 [1,5,3,2,8,4,7,6]=>[8,5,1,3,7,2,4,6]=>[6,4,2,7,3,1,5,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [5,7,4,3,1,2,6,8]=>[1,7,5,4,3,2,6,8]=>[8,6,2,3,4,5,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>14 [7,3,8,6,4,1,2,5]=>[7,3,1,8,4,2,6,5]=>[5,6,2,4,8,1,3,7]=>[[1,2,5],[3,4,8],[6,7]]=>19 [6,1,4,3,8,2,7,5]=>[4,3,6,8,1,2,7,5]=>[5,7,2,1,8,6,3,4]=>[[1,2,5],[3,6,8],[4,7]]=>12 [5,1,3,2,8,7,4,6]=>[8,3,5,1,2,7,4,6]=>[6,4,7,2,1,5,3,8]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [3,7,6,1,5,2,4,8]=>[3,1,7,6,5,2,4,8]=>[8,4,2,5,6,7,1,3]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [5,7,4,8,2,1,3,6]=>[7,5,2,1,8,4,3,6]=>[6,3,4,8,1,2,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>17 [7,4,6,2,1,5,3,8]=>[4,2,7,1,6,5,3,8]=>[8,3,5,6,1,7,2,4]=>[[1,3,4,6],[2,7,8],[5]]=>15 [1,2,6,3,8,5,7,4]=>[8,6,1,5,7,2,3,4]=>[4,3,2,7,5,1,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [1,5,2,6,8,4,7,3]=>[8,5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5,8]=>[[1,3,6,8],[2,4],[5,7]]=>10 [6,4,7,5,8,1,2,3]=>[4,6,1,7,5,2,8,3]=>[3,8,2,5,7,1,6,4]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [7,4,8,5,1,6,3,2]=>[4,7,1,5,8,6,3,2]=>[2,3,6,8,5,1,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>20 [7,5,1,3,2,8,6,4]=>[3,1,2,5,7,8,6,4]=>[4,6,8,7,5,2,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [6,8,4,1,2,7,5,3]=>[1,2,6,8,4,7,5,3]=>[3,5,7,4,8,6,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [5,8,2,1,7,3,6,4]=>[2,5,8,1,7,3,6,4]=>[4,6,3,7,1,8,5,2]=>[[1,2,4,6],[3,7],[5,8]]=>15 [3,6,1,8,2,4,7,5]=>[3,1,6,8,2,7,4,5]=>[5,4,7,2,8,6,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [1,3,8,7,6,2,5,4]=>[3,8,7,6,5,1,2,4]=>[4,2,1,5,6,7,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>14 [3,5,1,8,7,2,4,6]=>[8,5,1,7,3,2,4,6]=>[6,4,2,3,7,1,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [4,6,1,8,3,7,2,5]=>[1,6,8,4,7,3,2,5]=>[5,2,3,7,4,8,6,1]=>[[1,3,4,6],[2,5,7],[8]]=>14 [5,8,4,1,7,6,2,3]=>[1,8,5,7,4,2,6,3]=>[3,6,2,4,7,5,8,1]=>[[1,2,5,7],[3,4,6],[8]]=>18 [8,6,1,7,5,4,3,2]=>[6,8,7,5,1,4,3,2]=>[2,3,4,1,5,7,8,6]=>[[1,2,3,5,6,7],[4,8]]=>22 [4,1,8,7,6,2,5,3]=>[4,8,7,6,1,2,5,3]=>[3,5,2,1,6,7,8,4]=>[[1,2,5,6,7],[3,8],[4]]=>16 [3,1,8,7,6,5,2,4]=>[8,7,6,3,1,5,2,4]=>[4,2,5,1,3,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>16 [1,6,4,5,2,3,7,8]=>[4,1,6,5,2,3,7,8]=>[8,7,3,2,5,6,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [1,7,4,5,2,3,6,8]=>[7,1,4,2,5,3,6,8]=>[8,6,3,5,2,4,1,7]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [1,6,3,4,2,5,7,8]=>[1,6,3,4,2,5,7,8]=>[8,7,5,2,4,3,6,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>6 [1,7,3,4,2,5,6,8]=>[3,4,1,2,7,5,6,8]=>[8,6,5,7,2,1,4,3]=>[[1,4],[2,7],[3,8],[5],[6]]=>7 [1,5,2,8,4,7,3,6]=>[8,1,5,7,4,2,3,6]=>[6,3,2,4,7,5,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [1,4,2,8,5,7,3,6]=>[8,4,7,1,5,2,3,6]=>[6,3,2,5,1,7,4,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [1,7,3,5,2,6,4,8]=>[7,1,5,3,6,2,4,8]=>[8,4,2,6,3,5,1,7]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [1,8,4,7,3,5,2,6]=>[8,1,7,4,3,5,2,6]=>[6,2,5,3,4,7,1,8]=>[[1,3,5,6,8],[2],[4],[7]]=>14 [1,7,3,6,2,5,4,8]=>[1,7,6,3,5,2,4,8]=>[8,4,2,5,3,6,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [1,7,4,6,2,3,5,8]=>[1,7,6,2,4,3,5,8]=>[8,5,3,4,2,6,7,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>10 [1,8,5,6,2,3,4,7]=>[1,8,2,5,3,6,4,7]=>[7,4,6,3,5,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [1,3,2,8,5,6,4,7]=>[3,5,8,6,1,2,4,7]=>[7,4,2,1,6,8,5,3]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [1,5,2,8,4,6,3,7]=>[5,1,8,4,6,2,3,7]=>[7,3,2,6,4,8,1,5]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [8,1,2,4,5,3,6,7]=>[4,5,1,2,3,6,8,7]=>[7,8,6,3,2,1,5,4]=>[[1,2],[3,7],[4,8],[5],[6]]=>9 [2,3,4,6,5,7,8,9,1]=>[6,2,3,4,5,7,8,9,1]=>[1,9,8,7,5,4,3,2,6]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>9 [2,3,4,5,7,6,8,9,10,1]=>[7,2,3,4,5,6,8,9,10,1]=>[1,10,9,8,6,5,4,3,2,7]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>10 [1,6,4,7,2,8,3,5]=>[6,7,4,1,2,8,3,5]=>[5,3,8,2,1,4,7,6]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [1,4,7,3,5,8,2,6]=>[4,3,7,8,5,1,2,6]=>[6,2,1,5,8,7,3,4]=>[[1,4,5],[2,6,8],[3,7]]=>10 [4,8,6,2,3,5,1,7]=>[2,8,4,3,6,5,1,7]=>[7,1,5,6,3,4,8,2]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [1,7,5,3,4,8,2,6]=>[1,7,5,8,3,4,2,6]=>[6,2,4,3,8,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [5,8,7,4,1,2,3,6]=>[1,2,8,7,5,4,3,6]=>[6,3,4,5,7,8,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>18 [6,8,5,3,4,1,2,7]=>[3,1,8,6,5,4,2,7]=>[7,2,4,5,6,8,1,3]=>[[1,3,4,5,6],[2,8],[7]]=>19 [6,8,3,7,2,1,4,5]=>[6,3,2,1,8,4,7,5]=>[5,7,4,8,1,2,3,6]=>[[1,2,4,8],[3,6,7],[5]]=>18 [6,1,3,7,4,8,2,5]=>[6,3,4,7,1,2,8,5]=>[5,8,2,1,7,4,3,6]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [4,1,7,3,5,8,2,6]=>[4,1,7,8,3,5,2,6]=>[6,2,5,3,8,7,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [7,1,6,4,8,2,3,5]=>[4,1,7,6,2,3,8,5]=>[5,8,3,2,6,7,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [6,1,5,8,2,3,4,7]=>[1,6,2,8,3,5,4,7]=>[7,4,5,3,8,2,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [5,1,7,3,8,2,4,6]=>[5,7,1,3,2,8,4,6]=>[6,4,8,2,3,1,7,5]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [6,1,5,7,8,2,3,4]=>[6,5,1,7,2,3,8,4]=>[4,8,3,2,7,1,5,6]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [7,4,8,6,1,2,3,5]=>[1,7,2,8,4,3,6,5]=>[5,6,3,4,8,2,7,1]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [4,7,6,1,2,3,5,8]=>[1,2,7,6,4,3,5,8]=>[8,5,3,4,6,7,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>12 [1,6,5,8,2,3,4,7]=>[1,6,2,8,5,3,4,7]=>[7,4,3,5,8,2,6,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [6,5,8,4,1,2,3,7]=>[1,6,2,8,5,4,3,7]=>[7,3,4,5,8,2,6,1]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [1,5,7,4,8,2,3,6]=>[7,5,1,8,4,2,3,6]=>[6,3,2,4,8,1,5,7]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [7,6,4,8,2,1,3,5]=>[4,2,1,7,6,3,8,5]=>[5,8,3,6,7,1,2,4]=>[[1,2,5],[3,4,8],[6,7]]=>19 [7,6,2,3,8,1,4,5]=>[7,2,3,1,6,4,8,5]=>[5,8,4,6,1,3,2,7]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [7,4,8,5,1,6,2,3]=>[4,7,1,5,2,8,6,3]=>[3,6,8,2,5,1,7,4]=>[[1,2,3],[4,5,7],[6,8]]=>19 [8,6,2,3,1,7,4,5]=>[2,3,6,1,4,8,7,5]=>[5,7,8,4,1,6,3,2]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [1,7,2,8,6,3,4,5]=>[1,7,2,8,3,6,4,5]=>[5,4,6,3,8,2,7,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [7,5,8,1,3,6,2,4]=>[5,1,3,7,2,8,6,4]=>[4,6,8,2,7,3,1,5]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [5,4,1,8,2,3,6,7]=>[1,5,2,8,4,3,6,7]=>[7,6,3,4,8,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [1,4,8,7,2,3,5,6]=>[1,8,2,7,4,3,5,6]=>[6,5,3,4,7,2,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>11 [7,1,5,8,6,2,3,4]=>[7,1,8,2,5,3,6,4]=>[4,6,3,5,2,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [6,1,8,2,7,3,4,5]=>[1,6,2,8,3,4,7,5]=>[5,7,4,3,8,2,6,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [4,1,8,7,2,3,5,6]=>[1,2,8,7,4,3,5,6]=>[6,5,3,4,7,8,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>12 [1,8,7,6,4,5,3,2]=>[4,8,7,6,5,3,1,2]=>[2,1,3,5,6,7,8,4]=>[[1,3,4,5,6,7],[2,8]]=>20 [6,4,2,3,8,5,7,1]=>[2,4,6,3,8,5,7,1]=>[1,7,5,8,3,6,4,2]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [6,4,2,7,5,8,3,1]=>[2,4,6,7,5,8,3,1]=>[1,3,8,5,7,6,4,2]=>[[1,2,3,5],[4],[6],[7],[8]]=>17 [2,4,1,7,5,8,3,6]=>[7,4,8,2,5,1,3,6]=>[6,3,1,5,2,8,4,7]=>[[1,4,6,8],[2,5,7],[3]]=>9 [7,1,4,6,5,2,3,8]=>[7,6,1,4,2,5,3,8]=>[8,3,5,2,4,1,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [7,1,4,6,5,8,2,3]=>[7,4,6,5,1,2,8,3]=>[3,8,2,1,5,6,4,7]=>[[1,2,6,8],[3,5],[4,7]]=>15 [7,1,4,6,3,8,2,5]=>[7,4,3,6,1,2,8,5]=>[5,8,2,1,6,3,4,7]=>[[1,2,7,8],[3,5],[4,6]]=>14 [7,1,4,3,2,5,8,6]=>[4,3,1,2,5,7,8,6]=>[6,8,7,5,2,1,3,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [7,1,4,6,5,3,2,8]=>[7,4,6,5,1,3,2,8]=>[8,2,3,1,5,6,4,7]=>[[1,3,5,6,8],[2,7],[4]]=>14 [6,4,2,7,5,3,8,1]=>[2,4,6,7,5,3,8,1]=>[1,8,3,5,7,6,4,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>16 [3,4,7,2,6,8,5,1]=>[3,7,4,6,8,2,5,1]=>[1,5,2,8,6,4,7,3]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [3,4,7,1,6,8,5,2]=>[7,3,4,6,8,1,5,2]=>[2,5,1,8,6,4,3,7]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [2,4,1,7,5,3,6,8]=>[7,4,2,5,1,3,6,8]=>[8,6,3,1,5,2,4,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [3,4,1,7,8,6,2,5]=>[7,8,3,4,1,6,2,5]=>[5,2,6,1,4,3,8,7]=>[[1,3,7],[2,5,8],[4,6]]=>12 [6,4,2,3,8,5,1,7]=>[2,4,6,3,8,5,1,7]=>[7,1,5,8,3,6,4,2]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [6,4,2,7,5,8,1,3]=>[2,4,6,7,5,1,8,3]=>[3,8,1,5,7,6,4,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [6,4,2,7,5,3,1,8]=>[2,4,6,7,5,3,1,8]=>[8,1,3,5,7,6,4,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>15 [3,4,7,2,6,8,1,5]=>[3,7,4,6,8,2,1,5]=>[5,1,2,8,6,4,7,3]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [5,4,7,3,6,8,2,1]=>[5,7,4,3,6,8,2,1]=>[1,2,8,6,3,4,7,5]=>[[1,2,3,6,7],[4,8],[5]]=>18 [3,4,7,2,6,5,1,8]=>[3,7,4,6,2,5,1,8]=>[8,1,5,2,6,4,7,3]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [4,8,3,2,5,6,1,7]=>[4,3,2,5,8,6,1,7]=>[7,1,6,8,5,2,3,4]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [4,8,7,3,5,1,2,6]=>[4,3,1,8,7,5,2,6]=>[6,2,5,7,8,1,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>18 [4,8,3,1,2,6,5,7]=>[1,4,3,8,2,6,5,7]=>[7,5,6,2,8,3,4,1]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [3,4,7,1,6,2,5,8]=>[3,7,4,1,6,2,5,8]=>[8,5,2,6,1,4,7,3]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [4,8,3,1,2,6,7,5]=>[1,4,3,6,8,7,2,5]=>[5,2,7,8,6,3,4,1]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [6,8,5,1,3,7,2,4]=>[1,8,3,6,5,2,7,4]=>[4,7,2,5,6,3,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [6,8,5,1,3,4,7,2]=>[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>18 [5,4,7,3,6,2,8,1]=>[5,7,4,3,6,2,8,1]=>[1,8,2,6,3,4,7,5]=>[[1,2,4,6,7],[3,8],[5]]=>17 [6,4,3,7,5,1,8,2]=>[4,3,6,1,7,5,8,2]=>[2,8,5,7,1,6,3,4]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [3,8,7,4,1,5,2,6]=>[3,1,4,8,7,5,2,6]=>[6,2,5,7,8,4,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [2,4,7,3,6,1,5,8]=>[4,7,6,2,3,1,5,8]=>[8,5,1,3,2,6,7,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [5,8,3,2,1,6,4,7]=>[3,2,1,5,8,6,4,7]=>[7,4,6,8,5,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [5,8,7,4,3,1,2,6]=>[1,8,7,5,4,3,2,6]=>[6,2,3,4,5,7,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>20 [7,3,8,2,1,6,5,4]=>[3,2,7,8,6,1,5,4]=>[4,5,1,6,8,7,2,3]=>[[1,2,4,5],[3,6,8],[7]]=>17 [4,3,2,8,6,5,1,7]=>[8,4,3,6,2,5,1,7]=>[7,1,5,2,6,3,4,8]=>[[1,3,5,7,8],[2,6],[4]]=>13 [4,3,8,7,5,1,6,2]=>[8,7,4,3,1,5,6,2]=>[2,6,5,1,3,4,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>17 [3,2,5,8,6,1,4,7]=>[3,8,5,6,2,1,4,7]=>[7,4,1,2,6,5,8,3]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [8,4,3,7,5,2,6,1]=>[8,4,3,5,2,7,6,1]=>[1,6,7,2,5,3,4,8]=>[[1,2,3,7,8],[4,5],[6]]=>20 [4,3,7,8,5,1,2,6]=>[7,8,4,3,1,5,2,6]=>[6,2,5,1,3,4,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>15 [6,2,4,8,3,1,5,7]=>[6,4,2,3,1,8,5,7]=>[7,5,8,1,3,2,4,6]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [7,5,3,8,4,2,1,6]=>[3,5,7,4,2,1,8,6]=>[6,8,1,2,4,7,5,3]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [7,5,4,3,8,2,6,1]=>[5,4,3,7,2,8,6,1]=>[1,6,8,2,7,3,4,5]=>[[1,2,3,7,8],[4,5],[6]]=>20 [7,4,6,3,8,2,5,1]=>[7,4,3,6,2,8,5,1]=>[1,5,8,2,6,3,4,7]=>[[1,2,3,7,8],[4,5],[6]]=>20 [7,4,6,3,5,2,8,1]=>[7,4,3,6,5,2,8,1]=>[1,8,2,5,6,3,4,7]=>[[1,2,4,5,8],[3,7],[6]]=>19 [8,4,6,3,5,2,7,1]=>[6,4,3,5,2,8,7,1]=>[1,7,8,2,5,3,4,6]=>[[1,2,3,7,8],[4,5],[6]]=>20 [8,4,7,3,5,2,6,1]=>[4,3,8,5,2,7,6,1]=>[1,6,7,2,5,8,3,4]=>[[1,2,3,6],[4,5,8],[7]]=>21 [7,5,8,4,3,2,6,1]=>[5,7,4,3,2,8,6,1]=>[1,6,8,2,3,4,7,5]=>[[1,2,3,6,7],[4,5],[8]]=>22 [6,5,8,4,3,2,7,1]=>[6,8,5,4,3,2,7,1]=>[1,7,2,3,4,5,8,6]=>[[1,2,4,5,6,7],[3,8]]=>21 [6,5,8,3,4,2,7,1]=>[6,3,8,5,4,2,7,1]=>[1,7,2,4,5,8,3,6]=>[[1,2,4,5,6],[3,8],[7]]=>20 [7,5,8,4,6,2,3,1]=>[5,7,4,2,8,6,3,1]=>[1,3,6,8,2,4,7,5]=>[[1,2,3,4],[5,6,7],[8]]=>23 [7,4,8,3,6,2,5,1]=>[7,4,8,3,2,6,5,1]=>[1,5,6,2,3,8,4,7]=>[[1,2,3,6,8],[4,5,7]]=>21 [7,4,8,3,5,2,6,1]=>[7,4,3,5,2,8,6,1]=>[1,6,8,2,5,3,4,7]=>[[1,2,3,7,8],[4,5],[6]]=>20 [6,4,8,3,5,2,7,1]=>[6,4,3,8,5,2,7,1]=>[1,7,2,5,8,3,4,6]=>[[1,2,4,5,8],[3,7],[6]]=>19 [6,4,7,3,5,2,8,1]=>[4,6,3,7,5,2,8,1]=>[1,8,2,5,7,3,6,4]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [5,4,8,3,7,2,6,1]=>[8,5,4,7,3,2,6,1]=>[1,6,2,3,7,4,5,8]=>[[1,2,4,5,7,8],[3,6]]=>19 [6,5,8,3,7,2,4,1]=>[6,5,8,3,2,7,4,1]=>[1,4,7,2,3,8,5,6]=>[[1,2,3,6,8],[4,5,7]]=>21 [6,5,8,4,7,2,3,1]=>[6,8,5,4,2,7,3,1]=>[1,3,7,2,4,5,8,6]=>[[1,2,3,6,7],[4,5,8]]=>22 [6,5,8,4,7,3,2,1]=>[6,8,5,4,7,3,2,1]=>[1,2,3,7,4,5,8,6]=>[[1,2,3,4,6,7],[5,8]]=>23 [6,4,7,3,8,2,5,1]=>[4,6,3,7,2,8,5,1]=>[1,5,8,2,7,3,6,4]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [5,4,6,3,8,2,7,1]=>[5,4,6,8,3,2,7,1]=>[1,7,2,3,8,6,4,5]=>[[1,2,4,5,8],[3,6],[7]]=>17 [5,3,6,1,4,8,7,2]=>[3,1,5,6,8,4,7,2]=>[2,7,4,8,6,5,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [5,3,7,2,4,6,8,1]=>[5,3,2,7,4,6,8,1]=>[1,8,6,4,7,2,3,5]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [4,2,1,5,8,7,6,3]=>[8,2,7,1,4,5,6,3]=>[3,6,5,4,1,7,2,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [4,3,1,7,5,8,6,2]=>[4,1,7,8,3,5,6,2]=>[2,6,5,3,8,7,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [6,7,3,1,4,8,2,5]=>[1,3,6,4,7,2,8,5]=>[5,8,2,7,4,6,3,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [3,2,1,8,5,7,4,6]=>[3,8,7,2,5,1,4,6]=>[6,4,1,5,2,7,8,3]=>[[1,4,6,7],[2,5,8],[3]]=>10 [3,2,1,8,7,5,4,6]=>[8,7,3,2,5,1,4,6]=>[6,4,1,5,2,3,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>11 [6,7,2,1,8,4,3,5]=>[2,6,7,1,4,3,8,5]=>[5,8,3,4,1,7,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [3,2,1,8,5,6,4,7]=>[3,2,8,5,6,1,4,7]=>[7,4,1,6,5,8,2,3]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [3,2,1,8,6,5,4,7]=>[3,8,6,2,5,1,4,7]=>[7,4,1,5,2,6,8,3]=>[[1,4,6,7],[2,5,8],[3]]=>10 [5,2,6,1,8,3,4,7]=>[5,6,2,1,3,8,4,7]=>[7,4,8,3,1,2,6,5]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [4,2,1,6,8,3,7,5]=>[2,4,6,8,1,7,3,5]=>[5,3,7,1,8,6,4,2]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [4,3,1,6,7,8,2,5]=>[4,3,6,7,1,8,2,5]=>[5,2,8,1,7,6,3,4]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [6,7,3,1,5,8,2,4]=>[1,3,6,7,5,2,8,4]=>[4,8,2,5,7,6,3,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [4,2,1,7,8,6,3,5]=>[7,8,2,4,1,6,3,5]=>[5,3,6,1,4,2,8,7]=>[[1,3,7],[2,5,8],[4,6]]=>12 [3,2,1,8,6,4,5,7]=>[3,8,6,2,1,4,5,7]=>[7,5,4,1,2,6,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [3,2,1,8,4,6,5,7]=>[3,2,8,6,1,4,5,7]=>[7,5,4,1,6,8,2,3]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [3,2,1,8,4,6,7,5]=>[3,2,8,6,7,1,4,5]=>[5,4,1,7,6,8,2,3]=>[[1,4,6],[2,5,8],[3,7]]=>9 [3,2,1,8,4,7,6,5]=>[3,8,7,2,6,1,4,5]=>[5,4,1,6,2,7,8,3]=>[[1,4,6,7],[2,5,8],[3]]=>10 [3,2,1,8,7,4,6,5]=>[8,7,3,2,6,1,4,5]=>[5,4,1,6,2,3,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>11 [5,2,7,1,8,3,6,4]=>[5,7,2,8,1,3,6,4]=>[4,6,3,1,8,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>13 [5,2,7,1,8,3,4,6]=>[2,5,1,7,3,8,4,6]=>[6,4,8,3,7,1,5,2]=>[[1,3],[2,5],[4,7],[6,8]]=>12 [4,2,1,7,8,3,5,6]=>[4,7,2,1,8,3,5,6]=>[6,5,3,8,1,2,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [3,2,1,8,4,5,7,6]=>[3,2,8,7,1,4,5,6]=>[6,5,4,1,7,8,2,3]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [7,4,8,6,2,5,3,1]=>[7,4,8,2,6,5,3,1]=>[1,3,5,6,2,8,4,7]=>[[1,2,3,4,6],[5,7,8]]=>22 [7,4,3,1,8,2,5,6]=>[4,3,1,7,2,5,8,6]=>[6,8,5,2,7,1,3,4]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [7,4,2,8,5,6,1,3]=>[7,2,4,5,1,8,6,3]=>[3,6,8,1,5,4,2,7]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [6,3,8,2,5,7,4,1]=>[6,8,3,2,5,7,4,1]=>[1,4,7,5,2,3,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>18 [6,4,3,8,1,5,2,7]=>[4,1,6,3,8,5,2,7]=>[7,2,5,8,3,6,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [6,3,7,8,2,4,1,5]=>[6,7,3,2,4,1,8,5]=>[5,8,1,4,2,3,7,6]=>[[1,2,6,7],[3,4],[5,8]]=>17 [6,3,8,2,4,7,5,1]=>[6,3,8,2,4,7,5,1]=>[1,5,7,4,2,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>17 [6,5,3,1,4,2,7,8]=>[1,3,6,5,4,2,7,8]=>[8,7,2,4,5,6,3,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>12 [5,6,4,2,3,8,1,7]=>[5,2,6,4,8,3,1,7]=>[7,1,3,8,4,6,2,5]=>[[1,3,4,6],[2,5],[7,8]]=>15 [5,6,3,7,8,2,4,1]=>[5,3,6,7,2,8,4,1]=>[1,4,8,2,7,6,3,5]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [6,3,7,2,4,5,1,8]=>[6,3,2,4,7,5,1,8]=>[8,1,5,7,4,2,3,6]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [6,3,7,2,5,8,4,1]=>[6,3,7,2,5,8,4,1]=>[1,4,8,5,2,7,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>17 [5,4,6,2,3,8,1,7]=>[5,4,2,6,8,3,1,7]=>[7,1,3,8,6,2,4,5]=>[[1,3,4,8],[2,5],[6,7]]=>14 [5,6,3,4,2,1,8,7]=>[5,3,6,4,2,8,1,7]=>[7,1,8,2,4,6,3,5]=>[[1,3,5,6],[2,4],[7,8]]=>14 [6,3,4,2,1,5,8,7]=>[3,4,2,1,6,8,5,7]=>[7,5,8,6,1,2,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [2,5,4,1,7,8,6,3]=>[5,4,7,8,2,6,1,3]=>[3,1,6,2,8,7,4,5]=>[[1,3,5,8],[2,4,6],[7]]=>11 [2,7,8,5,4,1,6,3]=>[7,5,4,2,8,6,1,3]=>[3,1,6,8,2,4,5,7]=>[[1,3,4,7,8],[2,5,6]]=>17 [2,8,6,3,5,4,1,7]=>[8,2,6,3,5,4,1,7]=>[7,1,4,5,3,6,2,8]=>[[1,3,4,6,8],[2],[5],[7]]=>15 [5,8,6,4,2,1,3,7]=>[5,2,1,8,6,4,3,7]=>[7,3,4,6,8,1,2,5]=>[[1,3,4,5],[2,7,8],[6]]=>18 [4,2,1,5,7,8,6,3]=>[2,7,8,1,4,5,6,3]=>[3,6,5,4,1,8,7,2]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [4,3,8,5,7,6,2,1]=>[4,8,7,3,5,6,2,1]=>[1,2,6,5,3,7,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>18 [7,6,2,1,8,4,3,5]=>[7,2,6,1,4,3,8,5]=>[5,8,3,4,1,6,2,7]=>[[1,2,6,8],[3,4],[5,7]]=>16 [8,4,2,1,5,6,3,7]=>[2,1,4,5,6,3,8,7]=>[7,8,3,6,5,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>13 [2,5,6,3,8,4,1,7]=>[5,6,2,8,3,4,1,7]=>[7,1,4,3,8,2,6,5]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [6,3,4,2,1,8,5,7]=>[3,4,2,6,1,8,5,7]=>[7,5,8,1,6,2,4,3]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [3,7,8,5,6,4,2,1]=>[7,5,8,6,3,4,2,1]=>[1,2,4,3,6,8,5,7]=>[[1,2,3,5,6],[4,7,8]]=>21 [3,6,4,2,1,8,5,7]=>[3,6,4,8,2,1,5,7]=>[7,5,1,2,8,4,6,3]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [3,8,6,4,2,1,5,7]=>[3,8,4,2,1,6,5,7]=>[7,5,6,1,2,4,8,3]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [8,5,4,1,7,6,2,3]=>[5,8,1,4,2,7,6,3]=>[3,6,7,2,4,1,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>19 [7,6,2,3,8,5,4,1]=>[7,2,3,6,8,5,4,1]=>[1,4,5,8,6,3,2,7]=>[[1,2,3,4,8],[5],[6],[7]]=>19 [6,4,2,1,3,7,8,5]=>[2,1,4,3,6,7,8,5]=>[5,8,7,6,3,4,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>11 [6,3,7,8,4,2,1,5]=>[6,7,3,4,2,1,8,5]=>[5,8,1,2,4,3,7,6]=>[[1,2,5,7],[3,4],[6,8]]=>18 [5,7,6,2,3,8,4,1]=>[2,7,5,3,6,8,4,1]=>[1,4,8,6,3,5,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [8,4,2,3,7,5,6,1]=>[4,2,8,3,5,7,6,1]=>[1,6,7,5,3,8,2,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [8,5,7,6,2,1,4,3]=>[5,2,8,1,7,6,4,3]=>[3,4,6,7,1,8,2,5]=>[[1,2,3,4,6],[5,7,8]]=>22 [7,5,6,1,8,4,2,3]=>[1,7,5,6,2,8,4,3]=>[3,4,8,2,6,5,7,1]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [2,7,5,8,4,3,6,1]=>[7,8,5,2,4,3,6,1]=>[1,6,3,4,2,5,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>17 [6,4,7,8,3,2,1,5]=>[4,6,7,3,2,1,8,5]=>[5,8,1,2,3,7,6,4]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [6,9,8,5,4,3,2,1,7]=>[9,8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>28 [7,10,9,6,5,4,3,2,1,8]=>[10,9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>36 [5,9,8,7,4,3,2,1,6]=>[9,8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>28 [6,4,3,2,5,8,1,7]=>[4,3,2,6,8,5,1,7]=>[7,1,5,8,6,2,3,4]=>[[1,3,4,8],[2,5],[6,7]]=>14 [6,3,7,2,5,4,1,8]=>[6,3,7,2,5,4,1,8]=>[8,1,4,5,2,7,3,6]=>[[1,3,4,6],[2,7,8],[5]]=>15 [1,6,7,3,4,2,8,5]=>[6,1,3,7,4,8,2,5]=>[5,2,8,4,7,3,1,6]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [8,6,5,2,3,1,7,4]=>[2,3,1,6,5,8,7,4]=>[4,7,8,5,6,1,3,2]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [1,7,6,3,4,2,8,5]=>[1,7,3,6,4,8,2,5]=>[5,2,8,4,6,3,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [7,8,5,2,1,4,6,3]=>[2,7,1,5,4,8,6,3]=>[3,6,8,4,5,1,7,2]=>[[1,2,3,7],[4,5],[6,8]]=>19 [6,8,5,2,3,1,7,4]=>[2,3,1,8,6,5,7,4]=>[4,7,5,6,8,1,3,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [3,2,1,7,5,4,8,6]=>[7,3,2,5,8,1,4,6]=>[6,4,1,8,5,2,3,7]=>[[1,4,7,8],[2,5],[3,6]]=>8 [1,2,7,4,3,6,8,5]=>[1,7,4,6,8,2,3,5]=>[5,3,2,8,6,4,7,1]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [6,1,8,2,4,5,7,3]=>[1,6,2,8,4,5,7,3]=>[3,7,5,4,8,2,6,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [5,1,8,3,2,6,7,4]=>[5,8,3,1,2,6,7,4]=>[4,7,6,2,1,3,8,5]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [3,2,8,7,1,5,6,4]=>[3,2,8,7,5,6,1,4]=>[4,1,6,5,7,8,2,3]=>[[1,3,5,6],[2,4,8],[7]]=>14 [5,8,7,2,1,4,6,3]=>[2,5,1,8,7,4,6,3]=>[3,6,4,7,8,1,5,2]=>[[1,2,4,5],[3,7],[6,8]]=>18 [6,8,7,1,3,4,5,2]=>[1,6,3,8,4,7,5,2]=>[2,5,7,4,8,3,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [7,8,6,1,3,4,5,2]=>[1,7,3,4,8,6,5,2]=>[2,5,6,8,4,3,7,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [1,7,8,2,4,5,6,3]=>[1,7,4,5,8,6,2,3]=>[3,2,6,8,5,4,7,1]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [8,6,7,1,3,4,5,2]=>[1,6,3,4,8,7,5,2]=>[2,5,7,8,4,3,6,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [7,6,8,1,3,4,5,2]=>[1,7,3,6,4,8,5,2]=>[2,5,8,4,6,3,7,1]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [1,6,8,3,2,5,7,4]=>[1,6,3,8,5,7,2,4]=>[4,2,7,5,8,3,6,1]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [1,5,3,8,2,6,7,4]=>[8,1,5,3,6,7,2,4]=>[4,2,7,6,3,5,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [7,4,2,8,1,5,6,3]=>[2,4,7,1,5,8,6,3]=>[3,6,8,5,1,7,4,2]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [6,4,2,8,3,1,7,5]=>[2,4,6,3,8,1,7,5]=>[5,7,1,8,3,6,4,2]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [5,4,2,3,8,1,7,6]=>[5,4,2,8,3,7,1,6]=>[6,1,7,3,8,2,4,5]=>[[1,3,5,8],[2,4,7],[6]]=>13 [4,5,2,3,1,6,8,7]=>[4,2,5,3,8,1,6,7]=>[7,6,1,8,3,5,2,4]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [8,4,2,1,3,6,7,5]=>[2,4,1,8,3,6,7,5]=>[5,7,6,3,8,1,4,2]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [1,5,3,2,4,7,8,6]=>[5,1,3,7,8,2,4,6]=>[6,4,2,8,7,3,1,5]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [4,7,2,1,3,6,8,5]=>[2,1,4,7,6,8,3,5]=>[5,3,8,6,7,4,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [5,7,1,3,2,6,8,4]=>[5,1,3,7,2,6,8,4]=>[4,8,6,2,7,3,1,5]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [8,6,1,2,4,5,7,3]=>[1,6,2,4,5,8,7,3]=>[3,7,8,5,4,2,6,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [1,8,2,3,5,6,7,4]=>[1,2,8,5,6,7,3,4]=>[4,3,7,6,5,8,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [7,8,1,2,4,5,6,3]=>[1,7,2,4,5,8,6,3]=>[3,6,8,5,4,2,7,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [5,8,1,3,2,6,7,4]=>[5,8,1,3,2,6,7,4]=>[4,7,6,2,3,1,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [4,8,2,1,3,6,7,5]=>[2,1,4,6,8,7,3,5]=>[5,3,7,8,6,4,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [4,1,3,2,5,7,8,6]=>[4,1,3,7,8,2,5,6]=>[6,5,2,8,7,3,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [5,1,2,4,3,7,8,6]=>[5,1,2,4,7,8,3,6]=>[6,3,8,7,4,2,1,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [5,4,8,1,2,3,7,6]=>[1,2,8,5,4,7,3,6]=>[6,3,7,4,5,8,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [1,4,7,6,3,2,5,8]=>[7,6,4,3,1,2,5,8]=>[8,5,2,1,3,4,6,7]=>[[1,5,6,7,8],[2],[3],[4]]=>10 [4,8,3,2,7,6,1,5]=>[4,8,3,7,6,2,1,5]=>[5,1,2,6,7,3,8,4]=>[[1,3,4,5,7],[2,6,8]]=>17 [4,3,8,2,7,1,6,5]=>[4,8,7,3,2,6,1,5]=>[5,1,6,2,3,7,8,4]=>[[1,3,5,6,7],[2,4,8]]=>15 [4,3,2,8,1,7,6,5]=>[8,4,3,7,2,6,1,5]=>[5,1,6,2,7,3,4,8]=>[[1,3,5,7,8],[2,4,6]]=>13 [4,1,8,3,7,2,5,6]=>[1,4,8,7,3,2,5,6]=>[6,5,2,3,7,8,4,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [4,7,8,1,2,5,3,6]=>[1,2,7,4,8,5,3,6]=>[6,3,5,8,4,7,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [3,4,7,6,2,1,8,5]=>[7,6,3,4,2,8,1,5]=>[5,1,8,2,4,3,6,7]=>[[1,3,5,7,8],[2,4],[6]]=>13 [3,4,2,7,1,6,8,5]=>[7,3,4,2,6,8,1,5]=>[5,1,8,6,2,4,3,7]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [2,3,6,7,4,1,8,5]=>[6,2,7,3,4,8,1,5]=>[5,1,8,4,3,7,2,6]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [2,6,3,4,7,8,1,5]=>[2,3,6,7,8,4,1,5]=>[5,1,4,8,7,6,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [2,6,7,8,3,4,1,5]=>[6,2,7,3,8,4,1,5]=>[5,1,4,8,3,7,2,6]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [3,7,8,2,6,4,1,5]=>[3,7,2,8,6,4,1,5]=>[5,1,4,6,8,2,7,3]=>[[1,3,4,5],[2,7],[6,8]]=>17 [4,2,3,8,1,6,7,5]=>[2,8,4,3,6,7,1,5]=>[5,1,7,6,3,4,8,2]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [4,3,1,8,2,5,7,6]=>[1,8,4,3,7,2,5,6]=>[6,5,2,7,3,4,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [3,2,7,8,4,1,6,5]=>[7,3,2,8,4,6,1,5]=>[5,1,6,4,8,2,3,7]=>[[1,3,5,8],[2,4,7],[6]]=>13 [4,2,8,6,3,1,7,5]=>[4,2,8,6,3,7,1,5]=>[5,1,7,3,6,8,2,4]=>[[1,3,5,6],[2,4],[7,8]]=>14 [3,7,2,4,8,6,1,5]=>[3,7,8,2,6,4,1,5]=>[5,1,4,6,2,8,7,3]=>[[1,3,4,6],[2,7],[5,8]]=>14 [1,3,6,4,7,2,5,8]=>[3,6,7,4,1,2,5,8]=>[8,5,2,1,4,7,6,3]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [4,7,1,5,8,2,3,6]=>[4,7,1,2,8,5,3,6]=>[6,3,5,8,2,1,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [3,7,6,4,8,2,1,5]=>[3,7,6,8,4,2,1,5]=>[5,1,2,4,8,6,7,3]=>[[1,3,4,5,7],[2,6],[8]]=>17 [3,1,7,4,8,2,5,6]=>[3,1,7,8,4,2,5,6]=>[6,5,2,4,8,7,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [2,6,7,3,8,4,1,5]=>[2,6,7,3,8,4,1,5]=>[5,1,4,8,3,7,6,2]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [8,7,5,2,6,3,4,1]=>[5,2,3,8,7,6,4,1]=>[1,4,6,7,8,3,2,5]=>[[1,2,3,4,5],[6,8],[7]]=>23 [8,6,5,2,7,3,4,1]=>[6,2,5,3,8,7,4,1]=>[1,4,7,8,3,5,2,6]=>[[1,2,3,4],[5,6,8],[7]]=>22 [7,4,8,5,6,3,2,1]=>[7,4,5,8,6,3,2,1]=>[1,2,3,6,8,5,4,7]=>[[1,2,3,4,5],[6,8],[7]]=>23 [3,4,6,7,8,5,1,2]=>[6,7,8,3,4,1,5,2]=>[2,5,1,4,3,8,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>15 [1,2,6,4,7,5,8,3]=>[4,6,7,5,8,1,2,3]=>[3,2,1,8,5,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [3,1,7,5,4,2,6,8]=>[7,3,5,1,4,2,6,8]=>[8,6,2,4,1,5,3,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [1,6,2,5,4,7,8,3]=>[6,5,1,4,7,8,2,3]=>[3,2,8,7,4,1,5,6]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [1,8,2,5,6,3,7,4]=>[5,1,2,8,6,7,3,4]=>[4,3,7,6,8,2,1,5]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [1,2,6,4,8,5,7,3]=>[6,4,8,5,7,1,2,3]=>[3,2,1,7,5,8,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>9 [4,8,1,5,2,3,6,7]=>[4,1,2,5,3,8,6,7]=>[7,6,8,3,5,2,1,4]=>[[1,3],[2,5],[4,8],[6],[7]]=>11 [5,6,1,8,4,3,2,7]=>[1,5,6,8,4,3,2,7]=>[7,2,3,4,8,6,5,1]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [5,1,8,6,4,3,2,7]=>[8,5,6,1,4,3,2,7]=>[7,2,3,4,1,6,5,8]=>[[1,3,4,6,8],[2,7],[5]]=>15 [5,1,6,3,8,7,2,4]=>[5,8,3,6,1,2,7,4]=>[4,7,2,1,6,3,8,5]=>[[1,2,7],[3,5,8],[4,6]]=>13 [6,1,2,5,8,3,7,4]=>[6,5,8,1,2,3,7,4]=>[4,7,3,2,1,8,5,6]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [4,1,6,3,7,5,2,8]=>[6,4,7,1,3,5,2,8]=>[8,2,5,3,1,7,4,6]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [1,3,6,7,8,5,2,4]=>[6,7,8,5,3,1,2,4]=>[4,2,1,3,5,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>12 [1,2,6,4,7,8,5,3]=>[4,6,7,8,5,1,2,3]=>[3,2,1,5,8,7,6,4]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [3,1,6,4,8,2,7,5]=>[8,3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>10 [7,8,4,1,6,3,2,5]=>[4,7,1,3,2,8,6,5]=>[5,6,8,2,3,1,7,4]=>[[1,2,3],[4,5,7],[6,8]]=>19 [4,1,6,3,8,7,2,5]=>[8,1,4,6,7,3,2,5]=>[5,2,3,7,6,4,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [4,1,8,5,2,3,7,6]=>[1,8,4,2,5,7,3,6]=>[6,3,7,5,2,4,8,1]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [4,1,6,8,3,7,2,5]=>[4,8,1,6,7,3,2,5]=>[5,2,3,7,6,1,8,4]=>[[1,3,4,7],[2,5],[6,8]]=>13 [5,4,6,1,3,8,2,7]=>[1,5,4,6,8,3,2,7]=>[7,2,3,8,6,4,5,1]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [6,5,8,1,4,3,2,7]=>[6,8,1,5,4,3,2,7]=>[7,2,3,4,5,1,8,6]=>[[1,3,4,5,7],[2,8],[6]]=>17 [1,3,5,7,6,8,2,4]=>[7,5,6,8,3,1,2,4]=>[4,2,1,3,8,6,5,7]=>[[1,4,5,8],[2,6],[3,7]]=>10 [1,3,5,7,6,2,8,4]=>[7,5,6,3,8,1,2,4]=>[4,2,1,8,3,6,5,7]=>[[1,4,6,8],[2,5],[3,7]]=>9 [1,3,5,7,2,6,8,4]=>[7,5,3,6,8,1,2,4]=>[4,2,1,8,6,3,5,7]=>[[1,4,7,8],[2,5],[3,6]]=>8 [1,3,5,7,6,2,4,8]=>[7,5,6,3,1,2,4,8]=>[8,4,2,1,3,6,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [1,3,5,7,4,6,8,2]=>[7,5,3,4,6,8,1,2]=>[2,1,8,6,4,3,5,7]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [1,3,5,7,4,6,2,8]=>[7,5,3,4,6,1,2,8]=>[8,2,1,6,4,3,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [1,3,5,7,4,2,6,8]=>[7,5,3,4,1,2,6,8]=>[8,6,2,1,4,3,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,3,5,4,7,2,8,6]=>[5,7,3,4,8,1,2,6]=>[6,2,1,8,4,3,7,5]=>[[1,4,7],[2,5,8],[3,6]]=>7 [1,3,5,7,4,8,2,6]=>[7,5,8,3,4,1,2,6]=>[6,2,1,4,3,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>9 [1,3,5,7,4,8,6,2]=>[7,5,8,3,4,6,1,2]=>[2,1,6,4,3,8,5,7]=>[[1,3,6,8],[2,4,7],[5]]=>10 [1,3,5,7,8,4,6,2]=>[7,8,5,3,4,6,1,2]=>[2,1,6,4,3,5,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>11 [1,3,5,7,8,4,2,6]=>[7,8,5,3,4,1,2,6]=>[6,2,1,4,3,5,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>10 [1,3,5,2,7,8,6,4]=>[5,7,8,3,6,1,2,4]=>[4,2,1,6,3,8,7,5]=>[[1,4,6],[2,5,7],[3,8]]=>8 [1,3,5,7,2,8,6,4]=>[7,5,8,3,6,1,2,4]=>[4,2,1,6,3,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>9 [1,3,5,7,8,2,6,4]=>[7,8,5,3,6,1,2,4]=>[4,2,1,6,3,5,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>10 [3,5,1,6,2,8,7,4]=>[5,3,8,1,6,7,2,4]=>[4,2,7,6,1,8,3,5]=>[[1,3,6],[2,4,8],[5,7]]=>10 [2,6,1,7,4,3,8,5]=>[6,2,7,1,4,8,3,5]=>[5,3,8,4,1,7,2,6]=>[[1,3,6],[2,4,8],[5,7]]=>10 [1,4,7,3,5,2,8,6]=>[4,3,7,5,8,1,2,6]=>[6,2,1,8,5,7,3,4]=>[[1,4,6],[2,5,8],[3,7]]=>9 [1,3,7,5,2,4,8,6]=>[7,5,1,3,8,2,4,6]=>[6,4,2,8,3,1,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [1,4,7,2,3,8,6,5]=>[1,4,7,8,6,2,3,5]=>[5,3,2,6,8,7,4,1]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [2,4,7,3,1,8,6,5]=>[7,2,4,8,3,6,1,5]=>[5,1,6,3,8,4,2,7]=>[[1,3,5,8],[2,4,6],[7]]=>11 [1,3,5,2,8,7,6,4]=>[8,5,7,3,6,1,2,4]=>[4,2,1,6,3,7,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>9 [2,5,1,7,8,4,6,3]=>[5,7,2,8,4,6,1,3]=>[3,1,6,4,8,2,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>12 [3,2,6,7,8,1,5,4]=>[6,7,8,3,2,5,1,4]=>[4,1,5,2,3,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>13 [4,3,6,7,8,2,1,5]=>[4,6,7,8,3,2,1,5]=>[5,1,2,3,8,7,6,4]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [5,3,6,4,7,8,2,1]=>[3,5,6,4,7,8,2,1]=>[1,2,8,7,4,6,5,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>16 [3,5,2,6,8,4,7,1]=>[5,8,3,6,2,4,7,1]=>[1,7,4,2,6,3,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>13 [2,5,4,6,8,7,1,3]=>[5,8,4,6,7,2,1,3]=>[3,1,2,7,6,4,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>13 [1,3,6,2,8,7,5,4]=>[8,3,6,7,5,1,2,4]=>[4,2,1,5,7,6,3,8]=>[[1,4,5,8],[2,6],[3,7]]=>10 [2,5,7,4,3,8,6,1]=>[7,5,4,8,2,3,6,1]=>[1,6,3,2,8,4,5,7]=>[[1,2,5,7,8],[3,6],[4]]=>14 [1,5,7,2,4,8,6,3]=>[5,1,7,8,4,6,2,3]=>[3,2,6,4,8,7,1,5]=>[[1,3,5],[2,4,6],[7,8]]=>11 [4,6,3,7,2,8,5,1]=>[6,4,7,3,8,2,5,1]=>[1,5,2,8,3,7,4,6]=>[[1,2,4,6,8],[3,5],[7]]=>16 [4,3,6,7,8,2,5,1]=>[4,6,7,8,3,2,5,1]=>[1,5,2,3,8,7,6,4]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [1,4,7,3,8,6,2,5]=>[4,7,8,6,3,1,2,5]=>[5,2,1,3,6,8,7,4]=>[[1,4,5,6],[2,7],[3,8]]=>12 [2,5,4,7,8,6,1,3]=>[5,7,8,4,6,2,1,3]=>[3,1,2,6,4,8,7,5]=>[[1,3,4,6],[2,5,7],[8]]=>14 [3,2,6,7,8,5,1,4]=>[6,7,8,3,5,2,1,4]=>[4,1,2,5,3,8,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>14 [1,3,7,2,8,6,5,4]=>[7,8,3,6,5,1,2,4]=>[4,2,1,5,6,3,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>11 [5,1,6,8,2,4,3,7]=>[5,8,1,6,2,4,3,7]=>[7,3,4,2,6,1,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [5,3,7,8,2,4,1,6]=>[5,7,3,2,8,4,1,6]=>[6,1,4,8,2,3,7,5]=>[[1,3,4,7],[2,6],[5,8]]=>16 [6,3,1,5,8,2,4,7]=>[3,6,1,8,2,5,4,7]=>[7,4,5,2,8,1,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [6,5,3,4,2,8,1,7]=>[3,6,5,4,8,2,1,7]=>[7,1,2,8,4,5,6,3]=>[[1,3,4,6,7],[2,5],[8]]=>16 [5,2,4,3,8,1,6,7]=>[5,8,2,4,3,1,6,7]=>[7,6,1,3,4,2,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [3,2,4,8,1,5,6,7]=>[3,2,8,4,1,5,6,7]=>[7,6,5,1,4,8,2,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [3,2,4,6,8,1,5,7]=>[8,3,6,2,4,1,5,7]=>[7,5,1,4,2,6,3,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [8,1,5,7,3,2,4,6]=>[8,1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [4,6,7,8,2,3,1,5]=>[6,7,2,8,4,3,1,5]=>[5,1,3,4,8,2,7,6]=>[[1,3,4,5],[2,7],[6,8]]=>17 [6,4,8,7,2,3,1,5]=>[8,4,2,6,3,1,7,5]=>[5,7,1,3,6,2,4,8]=>[[1,2,5,8],[3,4],[6,7]]=>19 [3,2,8,4,1,7,6,5]=>[3,8,2,7,4,6,1,5]=>[5,1,6,4,7,2,8,3]=>[[1,3,5,7],[2,4,8],[6]]=>12 [7,6,4,8,2,3,1,5]=>[4,2,7,6,3,1,8,5]=>[5,8,1,3,6,7,2,4]=>[[1,2,5,6],[3,4],[7,8]]=>20 [4,7,6,8,2,3,1,5]=>[7,6,2,8,4,3,1,5]=>[5,1,3,4,8,2,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>18 [8,1,6,4,2,3,7,5]=>[1,4,2,3,8,6,7,5]=>[5,7,6,8,3,2,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [4,7,8,6,2,3,1,5]=>[7,2,8,6,4,3,1,5]=>[5,1,3,4,6,8,2,7]=>[[1,3,4,5,6],[2,8],[7]]=>19 [6,3,1,7,4,2,8,5]=>[6,1,3,4,2,7,8,5]=>[5,8,7,2,4,3,1,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [3,1,7,6,4,2,8,5]=>[3,7,6,1,4,8,2,5]=>[5,2,8,4,1,6,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>11 [4,8,7,6,2,3,1,5]=>[2,8,7,6,4,3,1,5]=>[5,1,3,4,6,7,8,2]=>[[1,3,4,5,6,7],[2],[8]]=>20 [6,8,7,5,2,3,1,4]=>[2,8,6,3,1,7,5,4]=>[4,5,7,1,3,6,8,2]=>[[1,2,3,7],[4,5,6],[8]]=>22 [4,3,6,1,5,8,7,2]=>[4,3,6,8,1,5,7,2]=>[2,7,5,1,8,6,3,4]=>[[1,2,5],[3,6,8],[4,7]]=>12 [4,3,6,5,1,8,7,2]=>[4,6,3,8,1,5,7,2]=>[2,7,5,1,8,3,6,4]=>[[1,2,5],[3,6,7],[4,8]]=>13 [4,6,3,5,1,8,7,2]=>[6,4,3,8,1,5,7,2]=>[2,7,5,1,8,3,4,6]=>[[1,2,5,8],[3,6,7],[4]]=>14 [4,1,6,5,3,8,7,2]=>[6,4,5,8,1,3,7,2]=>[2,7,3,1,8,5,4,6]=>[[1,2,5,8],[3,6],[4,7]]=>12 [2,6,5,3,1,8,7,4]=>[2,6,5,8,3,7,1,4]=>[4,1,7,3,8,5,6,2]=>[[1,3,5,7],[2,4,6],[8]]=>12 [2,6,5,1,8,7,3,4]=>[2,6,8,5,1,7,3,4]=>[4,3,7,1,5,8,6,2]=>[[1,3,6],[2,5,7],[4,8]]=>13 [2,6,5,8,1,3,7,4]=>[6,5,2,8,1,7,3,4]=>[4,3,7,1,8,2,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>13 [2,6,5,8,3,1,7,4]=>[6,2,8,5,3,7,1,4]=>[4,1,7,3,5,8,2,6]=>[[1,3,5,6],[2,4,8],[7]]=>14 [2,6,5,3,8,1,7,4]=>[6,5,2,8,3,7,1,4]=>[4,1,7,3,8,2,5,6]=>[[1,3,5,8],[2,4,7],[6]]=>13 [4,6,1,5,8,3,7,2]=>[6,8,1,4,5,3,7,2]=>[2,7,3,5,4,1,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [1,4,6,5,8,3,7,2]=>[6,8,4,5,3,7,1,2]=>[2,1,7,3,5,4,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>12 [2,6,5,3,8,7,1,4]=>[2,6,8,5,7,3,1,4]=>[4,1,3,7,5,8,6,2]=>[[1,3,4,6],[2,5,7],[8]]=>14 [6,4,3,8,7,1,5,2]=>[4,3,6,8,1,7,5,2]=>[2,5,7,1,8,6,3,4]=>[[1,2,3,5],[4,6,8],[7]]=>18 [6,4,8,3,7,1,5,2]=>[4,6,3,8,1,7,5,2]=>[2,5,7,1,8,3,6,4]=>[[1,2,3,5],[4,6,7],[8]]=>19 [2,6,8,5,3,7,1,4]=>[2,8,6,5,7,3,1,4]=>[4,1,3,7,5,6,8,2]=>[[1,3,4,6,7],[2,5],[8]]=>16 [4,6,1,8,5,7,3,2]=>[8,6,1,4,5,7,3,2]=>[2,3,7,5,4,1,6,8]=>[[1,2,3,7,8],[4],[5],[6]]=>16 [2,6,8,5,3,1,7,4]=>[2,8,6,5,3,7,1,4]=>[4,1,7,3,5,6,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>15 [2,6,8,5,1,7,3,4]=>[2,8,6,5,1,7,3,4]=>[4,3,7,1,5,6,8,2]=>[[1,3,6,7],[2,5],[4,8]]=>15 [4,6,3,1,8,5,7,2]=>[6,4,1,8,3,5,7,2]=>[2,7,5,3,8,1,4,6]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [4,6,3,8,1,5,7,2]=>[6,4,8,3,1,5,7,2]=>[2,7,5,1,3,8,4,6]=>[[1,2,6,8],[3,5,7],[4]]=>15 [4,6,3,8,5,7,1,2]=>[6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>17 [4,3,6,8,1,5,7,2]=>[4,6,8,3,1,5,7,2]=>[2,7,5,1,3,8,6,4]=>[[1,2,6],[3,5,7],[4,8]]=>14 [4,3,6,1,8,5,7,2]=>[4,8,3,6,1,5,7,2]=>[2,7,5,1,6,3,8,4]=>[[1,2,5,7],[3,6,8],[4]]=>13 [4,3,1,6,8,5,7,2]=>[8,1,4,6,3,5,7,2]=>[2,7,5,3,6,4,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [4,3,6,8,1,7,5,2]=>[4,6,8,3,7,1,5,2]=>[2,5,1,7,3,8,6,4]=>[[1,2,4,6],[3,5,7],[8]]=>15 [6,5,2,8,7,1,3,4]=>[6,8,2,1,5,3,7,4]=>[4,7,3,5,1,2,8,6]=>[[1,2,7],[3,4,8],[5,6]]=>17 [6,2,5,8,7,3,1,4]=>[6,8,5,2,3,1,7,4]=>[4,7,1,3,2,5,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>17 [1,4,6,3,8,7,5,2]=>[6,8,4,7,3,5,1,2]=>[2,1,5,3,7,4,8,6]=>[[1,3,5,7],[2,4,6,8]]=>12 [4,6,8,1,3,7,5,2]=>[6,4,8,1,7,3,5,2]=>[2,5,3,7,1,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>16 [6,2,8,5,7,3,1,4]=>[8,6,5,2,3,1,7,4]=>[4,7,1,3,2,5,6,8]=>[[1,2,6,7,8],[3,4],[5]]=>18 [4,2,8,7,5,1,3,6]=>[4,8,7,2,1,5,3,6]=>[6,3,5,1,2,7,8,4]=>[[1,3,6,7],[2,5,8],[4]]=>15 [2,3,4,7,1,8,6,5]=>[2,7,8,3,4,6,1,5]=>[5,1,6,4,3,8,7,2]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [2,3,5,6,7,8,9,4,1]=>[5,6,7,8,9,2,3,4,1]=>[1,4,3,2,9,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8],[9]]=>13 [2,4,5,6,7,8,9,3,1]=>[4,5,6,7,8,9,2,3,1]=>[1,3,2,9,8,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8],[9]]=>14 [2,3,4,7,8,5,6,1]=>[7,2,8,3,4,5,6,1]=>[1,6,5,4,3,8,2,7]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [2,3,6,7,4,8,5,1]=>[6,2,7,8,3,4,5,1]=>[1,5,4,3,8,7,2,6]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [2,3,4,6,7,8,9,10,5,1]=>[6,7,8,9,10,2,3,4,5,1]=>[1,5,4,3,2,10,9,8,7,6]=>[[1,2,6],[3,7],[4,8],[5,9],[10]]=>14 [2,3,5,6,7,8,9,10,4,1]=>[5,6,7,8,9,10,2,3,4,1]=>[1,4,3,2,10,9,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8],[9],[10]]=>15 [4,1,5,6,7,8,9,3,2]=>[4,5,6,7,8,9,1,3,2]=>[2,3,1,9,8,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8],[9]]=>14 [2,6,7,3,4,8,5,1]=>[2,6,3,7,8,4,5,1]=>[1,5,4,8,7,3,6,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [5,1,2,6,7,8,9,4,3]=>[5,6,7,8,9,1,2,4,3]=>[3,4,2,1,9,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8],[9]]=>13 [1,5,3,2,6,4,7,8]=>[5,1,3,6,2,4,7,8]=>[8,7,4,2,6,3,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [1,5,3,2,6,7,4,8]=>[5,1,3,6,7,2,4,8]=>[8,4,2,7,6,3,1,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [1,3,2,7,5,4,8,6]=>[3,7,5,8,1,2,4,6]=>[6,4,2,1,8,5,7,3]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [6,5,2,4,3,7,1,8]=>[6,2,5,4,3,7,1,8]=>[8,1,7,3,4,5,2,6]=>[[1,3,5,6,8],[2],[4],[7]]=>14 [6,4,2,5,3,7,1,8]=>[2,4,6,5,3,7,1,8]=>[8,1,7,3,5,6,4,2]=>[[1,3,5,6],[2],[4],[7],[8]]=>13 [5,4,7,6,2,3,1,8]=>[5,7,4,2,6,3,1,8]=>[8,1,3,6,2,4,7,5]=>[[1,3,4,7],[2,6,8],[5]]=>16 [1,6,2,8,5,3,4,7]=>[6,1,2,8,5,3,4,7]=>[7,4,3,5,8,2,1,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [4,6,2,3,7,5,1,8]=>[2,6,4,7,3,5,1,8]=>[8,1,5,3,7,4,6,2]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [4,7,2,3,5,6,1,8]=>[2,4,3,7,5,6,1,8]=>[8,1,6,5,7,3,4,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [3,5,2,1,6,8,4,7]=>[5,3,8,2,6,1,4,7]=>[7,4,1,6,2,8,3,5]=>[[1,4,6,8],[2,5,7],[3]]=>9 [3,5,2,1,8,6,4,7]=>[5,8,3,2,6,1,4,7]=>[7,4,1,6,2,3,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>10 [3,6,8,4,2,1,5,7]=>[3,8,6,4,2,1,5,7]=>[7,5,1,2,4,6,8,3]=>[[1,4,5,6,7],[2],[3],[8]]=>14 [4,3,2,6,1,8,5,7]=>[4,3,6,8,2,1,5,7]=>[7,5,1,2,8,6,3,4]=>[[1,4,5,8],[2,6],[3,7]]=>10 [1,7,2,3,4,8,6,5]=>[7,8,1,2,3,6,4,5]=>[5,4,6,3,2,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [2,3,1,8,4,5,7,6]=>[2,3,8,7,1,4,5,6]=>[6,5,4,1,7,8,3,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [7,3,2,1,4,5,8,6]=>[3,2,1,4,5,7,8,6]=>[6,8,7,5,4,1,2,3]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [7,8,1,4,3,5,2,6]=>[7,1,4,3,5,2,8,6]=>[6,8,2,5,3,4,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [7,1,2,3,4,6,8,5]=>[7,1,2,3,4,6,8,5]=>[5,8,6,4,3,2,1,7]=>[[1,2,8],[3],[4],[5],[6],[7]]=>8 [6,1,2,3,4,8,7,5]=>[8,1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>8 [1,8,2,3,4,7,6,5]=>[8,7,1,2,3,6,4,5]=>[5,4,6,3,2,1,7,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>9 [8,1,2,3,4,6,7,5]=>[1,8,2,3,4,6,7,5]=>[5,7,6,4,3,2,8,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>9 [8,3,2,1,4,5,7,6]=>[3,2,8,1,4,5,7,6]=>[6,7,5,4,1,8,2,3]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [3,8,2,1,6,5,4,7]=>[3,8,2,6,1,5,4,7]=>[7,4,5,1,6,2,8,3]=>[[1,3,5,7],[2,6,8],[4]]=>12 [7,4,1,8,3,5,2,6]=>[7,4,1,3,5,2,8,6]=>[6,8,2,5,3,1,4,7]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [8,4,1,7,3,5,2,6]=>[4,1,8,3,5,2,7,6]=>[6,7,2,5,3,8,1,4]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [8,4,2,5,3,1,6,7]=>[2,4,5,3,1,6,8,7]=>[7,8,6,1,3,5,4,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [8,3,2,5,4,1,6,7]=>[3,5,2,4,1,6,8,7]=>[7,8,6,1,4,2,5,3]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [3,5,2,4,1,8,6,7]=>[5,3,8,2,4,1,6,7]=>[7,6,1,4,2,8,3,5]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [2,4,7,8,1,5,3,6]=>[7,4,2,8,5,1,3,6]=>[6,3,1,5,8,2,4,7]=>[[1,4,5,8],[2,6,7],[3]]=>12 [5,1,7,2,8,4,3,6]=>[5,1,2,7,8,4,3,6]=>[6,3,4,8,7,2,1,5]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [6,1,2,8,5,3,4,7]=>[6,1,2,8,3,5,4,7]=>[7,4,5,3,8,2,1,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [6,3,2,1,8,4,5,7]=>[3,6,2,1,4,8,5,7]=>[7,5,8,4,1,2,6,3]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [2,7,8,4,3,5,1,6]=>[7,2,4,3,8,5,1,6]=>[6,1,5,8,3,4,2,7]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [7,1,8,3,5,4,2,6]=>[7,3,5,4,1,2,8,6]=>[6,8,2,1,4,5,3,7]=>[[1,2,6,8],[3,5],[4,7]]=>15 [6,7,1,3,4,8,2,5]=>[1,6,3,4,7,2,8,5]=>[5,8,2,7,4,3,6,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>14 [1,7,2,3,4,6,8,5]=>[7,1,2,3,6,8,4,5]=>[5,4,8,6,3,2,1,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [1,6,2,3,4,8,7,5]=>[8,1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [7,6,2,3,4,1,8,5]=>[2,3,4,1,7,6,8,5]=>[5,8,6,7,1,4,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [8,6,2,3,4,1,7,5]=>[2,3,4,1,6,8,7,5]=>[5,7,8,6,1,4,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [8,1,7,3,5,4,2,6]=>[8,1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [6,7,2,3,4,1,8,5]=>[2,3,6,4,1,7,8,5]=>[5,8,7,1,4,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [7,6,2,3,4,8,1,5]=>[2,3,4,7,6,1,8,5]=>[5,8,1,6,7,4,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [4,8,7,3,5,6,1,2]=>[4,3,8,7,5,1,6,2]=>[2,6,1,5,7,8,3,4]=>[[1,2,5,6],[3,4,8],[7]]=>20 [5,8,4,2,1,6,7,3]=>[2,1,5,4,8,6,7,3]=>[3,7,6,8,4,5,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [5,8,4,1,2,6,7,3]=>[1,2,5,4,8,6,7,3]=>[3,7,6,8,4,5,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [7,8,4,1,2,6,5,3]=>[1,2,4,7,8,6,5,3]=>[3,5,6,8,7,4,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>18 [4,8,1,5,2,7,6,3]=>[1,4,8,7,2,5,6,3]=>[3,6,5,2,7,8,4,1]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [5,8,1,2,4,7,6,3]=>[5,8,1,2,7,4,6,3]=>[3,6,4,7,2,1,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [5,2,8,3,6,7,1,4]=>[8,5,2,3,6,1,7,4]=>[4,7,1,6,3,2,5,8]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [3,8,7,6,2,4,1,5]=>[3,2,8,7,6,4,1,5]=>[5,1,4,6,7,8,2,3]=>[[1,3,4,5,6],[2,8],[7]]=>19 [2,8,7,6,3,1,4,5]=>[2,3,1,8,7,6,4,5]=>[5,4,6,7,8,1,3,2]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [3,1,7,2,6,5,8,4]=>[7,3,6,1,5,8,2,4]=>[4,2,8,5,1,6,3,7]=>[[1,3,6,8],[2,4],[5,7]]=>10 [3,2,7,1,6,5,8,4]=>[3,7,6,2,5,8,1,4]=>[4,1,8,5,2,6,7,3]=>[[1,3,6,7],[2,4,8],[5]]=>11 [6,1,2,8,5,7,3,4]=>[8,6,5,1,2,3,7,4]=>[4,7,3,2,1,5,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [6,1,3,8,5,2,7,4]=>[8,6,3,1,2,5,7,4]=>[4,7,5,2,1,3,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [1,3,7,2,6,8,5,4]=>[7,3,6,8,5,1,2,4]=>[4,2,1,5,8,6,3,7]=>[[1,4,5,8],[2,6],[3,7]]=>10 [7,8,2,6,5,3,1,4]=>[7,2,8,3,1,6,5,4]=>[4,5,6,1,3,8,2,7]=>[[1,2,3,6],[4,5,8],[7]]=>21 [3,2,6,7,5,8,1,4]=>[6,7,3,5,8,2,1,4]=>[4,1,2,8,5,3,7,6]=>[[1,3,4,7],[2,5,8],[6]]=>13 [2,8,7,6,4,3,1,5]=>[8,2,7,6,4,3,1,5]=>[5,1,3,4,6,7,2,8]=>[[1,3,4,5,6,8],[2],[7]]=>19 [3,8,7,6,1,2,5,4]=>[1,3,8,7,6,5,2,4]=>[4,2,5,6,7,8,3,1]=>[[1,3,4,5,6],[2,7],[8]]=>18 [3,8,7,6,2,1,5,4]=>[3,2,8,7,6,5,1,4]=>[4,1,5,6,7,8,2,3]=>[[1,3,4,5,6],[2,7,8]]=>19 [4,8,7,6,2,1,3,5]=>[2,1,8,7,6,4,3,5]=>[5,3,4,6,7,8,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>19 [4,8,7,6,1,3,2,5]=>[8,1,7,6,4,3,2,5]=>[5,2,3,4,6,7,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>19 [7,8,3,6,5,1,2,4]=>[7,1,8,3,2,6,5,4]=>[4,5,6,2,3,8,1,7]=>[[1,2,3,6],[4,5,8],[7]]=>21 [2,3,7,5,6,8,1,4]=>[5,7,6,8,2,3,1,4]=>[4,1,3,2,8,6,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>12 [3,8,7,6,4,2,1,5]=>[3,8,7,6,4,2,1,5]=>[5,1,2,4,6,7,8,3]=>[[1,3,4,5,6,7],[2],[8]]=>20 [4,3,7,2,6,5,1,8]=>[7,4,3,6,2,5,1,8]=>[8,1,5,2,6,3,4,7]=>[[1,3,5,7,8],[2,6],[4]]=>13 [3,4,6,1,5,7,2,8]=>[3,4,6,1,5,7,2,8]=>[8,2,7,5,1,6,4,3]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [2,4,1,5,8,6,3,7]=>[8,4,2,5,6,1,3,7]=>[7,3,1,6,5,2,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [7,8,6,5,1,2,4,3]=>[1,2,7,8,6,5,4,3]=>[3,4,5,6,8,7,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [1,3,6,5,7,8,2,4]=>[6,5,7,8,3,1,2,4]=>[4,2,1,3,8,7,5,6]=>[[1,4,5,8],[2,6],[3,7]]=>10 [7,4,8,5,3,1,6,2]=>[7,4,1,5,3,8,6,2]=>[2,6,8,3,5,1,4,7]=>[[1,2,3,8],[4,5],[6,7]]=>20 [2,3,1,6,8,5,7,4]=>[8,6,2,3,5,7,1,4]=>[4,1,7,5,3,2,6,8]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [1,5,8,3,4,6,7,2]=>[3,5,4,8,6,7,1,2]=>[2,1,7,6,8,4,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [8,3,1,2,4,7,6,5]=>[8,1,3,7,2,4,6,5]=>[5,6,4,2,7,3,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [8,1,4,7,2,5,3,6]=>[1,4,8,5,2,3,7,6]=>[6,7,3,2,5,8,4,1]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [3,5,2,4,1,7,8,6]=>[5,3,2,4,7,8,1,6]=>[6,1,8,7,4,2,3,5]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [3,4,7,8,6,2,1,5]=>[7,8,6,3,4,2,1,5]=>[5,1,2,4,3,6,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>16 [5,8,2,1,6,7,3,4]=>[2,5,8,1,6,3,7,4]=>[4,7,3,6,1,8,5,2]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [6,1,2,7,5,3,8,4]=>[6,1,7,2,3,5,8,4]=>[4,8,5,3,2,7,1,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [7,3,2,8,6,4,1,5]=>[7,8,3,2,4,1,6,5]=>[5,6,1,4,2,3,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>17 [2,7,8,4,6,3,1,5]=>[7,8,2,6,4,3,1,5]=>[5,1,3,4,6,2,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>17 [1,4,5,7,2,6,8,3]=>[4,5,7,1,6,8,2,3]=>[3,2,8,6,1,7,5,4]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [8,1,6,3,5,7,2,4]=>[8,1,6,3,5,2,7,4]=>[4,7,2,5,3,6,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [2,8,6,4,3,7,1,5]=>[6,2,4,8,7,3,1,5]=>[5,1,3,7,8,4,2,6]=>[[1,3,4,5],[2,6,8],[7]]=>16 [8,3,2,6,4,7,1,5]=>[3,2,8,4,6,1,7,5]=>[5,7,1,6,4,8,2,3]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [2,3,8,7,6,5,1,4]=>[8,7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>16 [1,2,8,7,3,6,5,4]=>[8,7,1,6,5,2,3,4]=>[4,3,2,5,6,1,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>12 [1,5,8,7,3,2,6,4]=>[5,1,8,7,3,6,2,4]=>[4,2,6,3,7,8,1,5]=>[[1,3,5,6],[2,4,8],[7]]=>14 [4,5,8,7,3,2,1,6]=>[8,7,4,5,3,2,1,6]=>[6,1,2,3,5,4,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>18 [2,6,8,1,7,5,4,3]=>[8,2,6,7,5,4,1,3]=>[3,1,4,5,7,6,2,8]=>[[1,3,4,5,8],[2,6],[7]]=>16 [1,5,8,3,7,2,6,4]=>[8,5,1,7,3,6,2,4]=>[4,2,6,3,7,1,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>13 [3,5,8,4,7,2,1,6]=>[5,8,7,3,4,2,1,6]=>[6,1,2,4,3,7,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>16 [1,6,8,4,2,7,5,3]=>[1,6,8,4,7,5,2,3]=>[3,2,5,7,4,8,6,1]=>[[1,3,4,6],[2,5,7],[8]]=>14 [1,5,8,4,2,7,6,3]=>[1,5,8,7,4,6,2,3]=>[3,2,6,4,7,8,5,1]=>[[1,3,5,6],[2,4,7],[8]]=>13 [1,5,8,2,3,7,6,4]=>[8,1,5,7,2,6,3,4]=>[4,3,6,2,7,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [2,5,8,4,3,7,1,6]=>[5,4,8,7,2,3,1,6]=>[6,1,3,2,7,8,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>14 [5,6,8,1,3,2,7,4]=>[1,5,6,3,8,2,7,4]=>[4,7,2,8,3,6,5,1]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [5,6,8,4,3,2,1,7]=>[8,5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5,8]=>[[1,3,4,5,6,8],[2],[7]]=>19 [7,1,4,8,6,2,5,3]=>[7,1,8,4,6,2,5,3]=>[3,5,2,6,4,8,1,7]=>[[1,2,4,6],[3,5,8],[7]]=>16 [7,3,1,8,6,2,5,4]=>[7,3,8,1,6,2,5,4]=>[4,5,2,6,1,8,3,7]=>[[1,2,4,6],[3,7,8],[5]]=>16 [7,1,4,8,3,2,6,5]=>[7,4,3,8,1,2,6,5]=>[5,6,2,1,8,3,4,7]=>[[1,2,5,8],[3,6,7],[4]]=>14 [1,6,2,8,7,5,4,3]=>[8,6,7,5,1,4,2,3]=>[3,2,4,1,5,7,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>14 [1,6,4,8,7,2,5,3]=>[4,6,8,1,7,5,2,3]=>[3,2,5,7,1,8,6,4]=>[[1,3,4,6],[2,7],[5,8]]=>14 [3,2,5,8,7,6,1,4]=>[8,7,3,5,6,2,1,4]=>[4,1,2,6,5,3,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>14 [3,1,5,8,7,2,6,4]=>[3,8,5,7,1,6,2,4]=>[4,2,6,1,7,5,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>12 [1,6,4,8,2,7,5,3]=>[4,8,1,6,7,5,2,3]=>[3,2,5,7,6,1,8,4]=>[[1,3,4,7],[2,5],[6,8]]=>13 [2,4,5,8,3,7,1,6]=>[4,8,5,7,2,3,1,6]=>[6,1,3,2,7,5,8,4]=>[[1,3,5,7],[2,6],[4,8]]=>12 [1,6,4,8,3,2,7,5]=>[8,6,4,1,3,7,2,5]=>[5,2,7,3,1,4,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>12 [1,4,5,8,3,2,7,6]=>[4,8,5,3,7,1,2,6]=>[6,2,1,7,3,5,8,4]=>[[1,4,6,7],[2,5],[3,8]]=>10 [7,6,1,3,8,2,5,4]=>[7,3,1,2,6,8,5,4]=>[4,5,8,6,2,1,3,7]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [7,2,5,1,8,6,4,3]=>[2,5,7,8,6,1,4,3]=>[3,4,1,6,8,7,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [7,2,5,3,8,6,1,4]=>[2,3,7,8,5,1,6,4]=>[4,6,1,5,8,7,3,2]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [7,3,5,4,8,2,1,6]=>[5,3,4,7,2,1,8,6]=>[6,8,1,2,7,4,3,5]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [1,6,5,4,8,2,7,3]=>[6,5,4,8,1,7,2,3]=>[3,2,7,1,8,4,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>13 [7,6,5,2,3,8,1,4]=>[2,3,7,6,5,1,8,4]=>[4,8,1,5,6,7,3,2]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [7,6,1,2,3,8,5,4]=>[7,1,2,3,6,8,5,4]=>[4,5,8,6,3,2,1,7]=>[[1,2,3,8],[4],[5],[6],[7]]=>14 [7,1,5,4,2,8,6,3]=>[1,7,2,5,8,4,6,3]=>[3,6,4,8,5,2,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [7,1,5,2,3,8,6,4]=>[1,2,3,7,8,5,6,4]=>[4,6,5,8,7,3,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [7,1,2,4,3,8,6,5]=>[4,7,8,1,2,3,6,5]=>[5,6,3,2,1,8,7,4]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [2,6,5,4,3,8,1,7]=>[6,5,4,8,2,3,1,7]=>[7,1,3,2,8,4,5,6]=>[[1,3,5,7,8],[2,6],[4]]=>13 [7,6,1,4,3,2,8,5]=>[4,3,1,2,7,6,8,5]=>[5,8,6,7,2,1,3,4]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [7,1,5,4,3,2,8,6]=>[5,4,3,1,2,7,8,6]=>[6,8,7,2,1,3,4,5]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [2,6,7,3,5,4,1,8]=>[2,6,7,5,3,4,1,8]=>[8,1,4,3,5,7,6,2]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [4,7,1,2,8,5,3,6]=>[4,1,2,7,8,5,3,6]=>[6,3,5,8,7,2,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [4,8,1,2,7,5,3,6]=>[4,8,1,2,7,5,3,6]=>[6,3,5,7,2,1,8,4]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [6,7,3,2,8,1,4,5]=>[3,2,6,1,7,4,8,5]=>[5,8,4,7,1,6,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [7,3,4,2,6,1,8,5]=>[3,4,7,2,1,6,8,5]=>[5,8,6,1,2,7,4,3]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [7,4,3,1,5,6,8,2]=>[1,4,3,5,7,6,8,2]=>[2,8,6,7,5,3,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [4,1,8,2,6,5,3,7]=>[8,1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [6,4,8,2,1,5,3,7]=>[2,1,6,4,8,5,3,7]=>[7,3,5,8,4,6,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [6,8,3,2,5,1,4,7]=>[3,8,2,1,6,5,4,7]=>[7,4,5,6,1,2,8,3]=>[[1,3,4,7],[2,6,8],[5]]=>16 [5,7,1,4,6,8,3,2]=>[7,5,1,4,6,8,3,2]=>[2,3,8,6,4,1,5,7]=>[[1,2,3,7,8],[4],[5],[6]]=>16 [6,1,4,2,7,5,3,8]=>[1,2,6,7,4,5,3,8]=>[8,3,5,4,7,6,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [5,4,3,7,1,6,8,2]=>[5,4,3,7,1,6,8,2]=>[2,8,6,1,7,3,4,5]=>[[1,2,5,8],[3,6,7],[4]]=>14 [8,2,7,6,5,4,1,3]=>[8,7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>22 [7,2,8,6,5,4,3,1]=>[7,8,6,5,2,4,3,1]=>[1,3,4,2,5,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>22 [2,10,9,8,7,6,5,4,1,3]=>[10,9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>36 [9,2,8,7,6,5,4,1,3]=>[9,8,7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3,4]]=>29 [3,9,8,7,6,5,4,1,2]=>[9,8,7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3,4]]=>29 [8,7,2,6,5,4,1,3]=>[8,7,6,2,1,5,4,3]=>[3,4,5,1,2,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>23 [3,2,8,7,6,5,1,4]=>[8,7,6,3,5,2,1,4]=>[4,1,2,5,3,6,7,8]=>[[1,3,4,6,7,8],[2,5]]=>17 [4,8,7,6,5,3,1,2]=>[8,7,6,4,1,5,3,2]=>[2,3,5,1,4,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>23 [7,8,6,1,5,4,3,2]=>[7,8,6,1,5,4,3,2]=>[2,3,4,5,1,6,8,7]=>[[1,2,3,4,6,7],[5,8]]=>23 [4,8,5,7,6,3,2,1]=>[8,4,7,5,6,3,2,1]=>[1,2,3,6,5,7,4,8]=>[[1,2,3,4,6,8],[5],[7]]=>22 [3,8,7,4,6,5,2,1]=>[8,3,7,6,4,5,2,1]=>[1,2,5,4,6,7,3,8]=>[[1,2,3,5,6,8],[4],[7]]=>21 [8,6,1,5,3,2,4,7]=>[6,1,3,2,5,4,8,7]=>[7,8,4,5,2,3,1,6]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [7,8,1,5,3,2,4,6]=>[7,1,3,2,5,4,8,6]=>[6,8,4,5,2,3,1,7]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [8,1,7,5,3,2,4,6]=>[8,1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [8,6,1,4,5,2,3,7]=>[6,1,4,2,5,3,8,7]=>[7,8,3,5,2,4,1,6]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [8,6,3,1,5,2,4,7]=>[3,1,6,2,5,4,8,7]=>[7,8,4,5,2,6,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [8,4,6,1,5,2,3,7]=>[4,1,6,2,5,3,8,7]=>[7,8,3,5,2,6,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [8,6,2,1,5,4,3,7]=>[6,2,5,1,4,3,8,7]=>[7,8,3,4,1,5,2,6]=>[[1,2,6,8],[3,4],[5,7]]=>16 [8,5,2,6,1,4,3,7]=>[5,2,6,1,4,3,8,7]=>[7,8,3,4,1,6,2,5]=>[[1,2,6],[3,4,8],[5,7]]=>16 [7,8,2,1,5,4,3,6]=>[7,2,5,1,4,3,8,6]=>[6,8,3,4,1,5,2,7]=>[[1,2,6,8],[3,4],[5,7]]=>16 [7,8,3,1,5,2,4,6]=>[3,1,7,2,5,4,8,6]=>[6,8,4,5,2,7,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [8,2,7,5,1,3,4,6]=>[2,1,8,3,5,4,7,6]=>[6,7,4,5,3,8,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [8,4,1,7,5,2,3,6]=>[4,1,8,2,5,3,7,6]=>[6,7,3,5,2,8,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [8,2,7,1,5,4,3,6]=>[8,2,5,1,4,3,7,6]=>[6,7,3,4,1,5,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>16 [8,1,7,4,3,2,6,5]=>[8,1,4,3,7,2,6,5]=>[5,6,2,7,3,4,1,8]=>[[1,2,4,8],[3,5,6],[7]]=>16 [8,1,5,7,3,2,6,4]=>[8,1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1,8]=>[[1,2,4,8],[3,5,6],[7]]=>16 [5,7,8,1,3,2,6,4]=>[7,1,5,3,8,2,6,4]=>[4,6,2,8,3,5,1,7]=>[[1,2,4,8],[3,5,6],[7]]=>16 [8,2,6,1,5,7,3,4]=>[8,2,6,1,5,3,7,4]=>[4,7,3,5,1,6,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>16 [5,8,1,6,7,2,3,4]=>[5,1,8,2,6,3,7,4]=>[4,7,3,6,2,8,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [5,7,6,1,8,2,3,4]=>[5,1,7,2,6,3,8,4]=>[4,8,3,6,2,7,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [6,7,2,5,1,8,3,4]=>[6,2,7,1,5,3,8,4]=>[4,8,3,5,1,7,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>16 [7,5,1,6,8,2,3,4]=>[7,1,5,2,6,3,8,4]=>[4,8,3,6,2,5,1,7]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [6,7,3,8,1,2,4,5]=>[3,1,6,2,7,4,8,5]=>[5,8,4,7,2,6,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>16 [7,5,4,1,8,2,3,6]=>[5,1,4,2,7,3,8,6]=>[6,8,3,7,2,4,1,5]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [8,1,6,4,7,2,3,5]=>[8,1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [7,5,8,1,3,2,4,6]=>[5,1,3,2,7,4,8,6]=>[6,8,4,7,2,3,1,5]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [7,8,4,1,3,2,5,6]=>[4,1,3,2,7,5,8,6]=>[6,8,5,7,2,3,1,4]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [8,5,1,7,3,2,4,6]=>[5,1,3,2,8,4,7,6]=>[6,7,4,8,2,3,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [6,8,1,7,3,2,4,5]=>[6,1,3,2,8,4,7,5]=>[5,7,4,8,2,3,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [7,1,8,4,3,6,2,5]=>[7,4,8,1,3,2,6,5]=>[5,6,2,3,1,8,4,7]=>[[1,2,6,8],[3,4,7],[5]]=>16 [7,3,1,8,6,4,2,5]=>[7,3,8,1,4,2,6,5]=>[5,6,2,4,1,8,3,7]=>[[1,2,6],[3,4,8],[5,7]]=>16 [8,3,1,7,4,6,2,5]=>[8,3,7,1,4,2,6,5]=>[5,6,2,4,1,7,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>16 [8,4,5,1,7,2,3,6]=>[4,1,5,2,8,3,7,6]=>[6,7,3,8,2,5,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [5,6,8,1,7,2,3,4]=>[5,1,6,2,8,3,7,4]=>[4,7,3,8,2,6,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [6,5,8,1,2,7,3,4]=>[6,1,5,2,8,3,7,4]=>[4,7,3,8,2,5,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [7,3,1,8,5,6,2,4]=>[7,3,8,1,5,2,6,4]=>[4,6,2,5,1,8,3,7]=>[[1,2,6],[3,4,8],[5,7]]=>16 [6,2,7,8,3,1,5,4]=>[6,2,7,3,8,1,5,4]=>[4,5,1,8,3,7,2,6]=>[[1,2,4],[3,5,6],[7,8]]=>16 [8,4,1,7,3,2,6,5]=>[4,1,8,3,7,2,6,5]=>[5,6,2,7,3,8,1,4]=>[[1,2,4,6],[3,5,8],[7]]=>16 [8,3,4,7,1,2,6,5]=>[3,1,8,4,7,2,6,5]=>[5,6,2,7,4,8,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>16 [8,2,7,4,1,3,6,5]=>[2,1,8,4,7,3,6,5]=>[5,6,3,7,4,8,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>16 [7,4,8,2,1,3,6,5]=>[2,1,7,4,8,3,6,5]=>[5,6,3,8,4,7,1,2]=>[[1,2,4],[3,5,6],[7,8]]=>16 [8,2,3,6,7,1,5,4]=>[8,2,6,3,7,1,5,4]=>[4,5,1,7,3,6,2,8]=>[[1,2,4,8],[3,5,6],[7]]=>16 [2,6,8,7,1,5,4,3]=>[6,8,2,7,5,4,1,3]=>[3,1,4,5,7,2,8,6]=>[[1,3,4,5,7],[2,6,8]]=>17 [7,8,5,2,3,6,4,1]=>[2,3,7,5,8,6,4,1]=>[1,4,6,8,5,7,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [8,7,5,2,3,1,6,4]=>[2,3,1,5,8,7,6,4]=>[4,6,7,8,5,1,3,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [6,8,5,2,3,4,7,1]=>[2,3,8,6,5,4,7,1]=>[1,7,4,5,6,8,3,2]=>[[1,2,4,5,6],[3],[7],[8]]=>19 [3,5,2,6,8,1,4,7]=>[5,8,3,6,2,1,4,7]=>[7,4,1,2,6,3,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>11 [2,4,5,7,3,6,8,1]=>[7,4,5,2,3,6,8,1]=>[1,8,6,3,2,5,4,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [5,2,4,6,8,1,3,7]=>[5,8,2,4,1,6,3,7]=>[7,3,6,1,4,2,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [4,3,5,2,6,8,1,7]=>[4,3,5,8,2,6,1,7]=>[7,1,6,2,8,5,3,4]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [4,3,5,7,2,8,1,6]=>[4,7,3,5,8,2,1,6]=>[6,1,2,8,5,3,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>13 [4,6,3,7,2,5,8,1]=>[6,4,7,3,2,5,8,1]=>[1,8,5,2,3,7,4,6]=>[[1,2,5,6,8],[3,7],[4]]=>15 [4,6,3,1,7,8,2,5]=>[6,4,3,7,1,8,2,5]=>[5,2,8,1,7,3,4,6]=>[[1,3,7,8],[2,5],[4,6]]=>13 [4,3,5,1,7,8,2,6]=>[4,3,5,7,1,8,2,6]=>[6,2,8,1,7,5,3,4]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [5,7,1,3,4,6,8,2]=>[1,5,3,7,4,6,8,2]=>[2,8,6,4,7,3,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [4,5,7,1,3,6,8,2]=>[4,5,1,7,3,6,8,2]=>[2,8,6,3,7,1,5,4]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [4,6,3,5,1,7,8,2]=>[6,4,3,1,5,7,8,2]=>[2,8,7,5,1,3,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [4,6,3,5,7,2,8,1]=>[6,4,3,5,7,2,8,1]=>[1,8,2,7,5,3,4,6]=>[[1,2,4,7,8],[3],[5],[6]]=>15 [3,5,6,4,1,7,8,2]=>[5,6,3,1,4,7,8,2]=>[2,8,7,4,1,3,6,5]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [3,1,5,6,7,4,8,2]=>[5,6,7,1,3,4,8,2]=>[2,8,4,3,1,7,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [6,4,7,1,3,5,8,2]=>[1,4,6,3,7,5,8,2]=>[2,8,5,7,3,6,4,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [1,6,7,3,4,5,8,2]=>[3,6,4,7,5,8,1,2]=>[2,1,8,5,7,4,6,3]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [2,6,7,4,5,8,1,3]=>[6,4,7,5,8,2,1,3]=>[3,1,2,8,5,7,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>15 [3,5,2,6,1,7,8,4]=>[5,3,6,2,7,8,1,4]=>[4,1,8,7,2,6,3,5]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [3,5,2,6,7,4,8,1]=>[5,3,6,7,2,4,8,1]=>[1,8,4,2,7,6,3,5]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [5,2,3,6,7,4,8,1]=>[2,3,5,6,7,4,8,1]=>[1,8,4,7,6,5,3,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>12 [5,2,3,6,1,7,8,4]=>[2,3,5,1,6,7,8,4]=>[4,8,7,6,1,5,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>10 [5,2,6,1,3,7,8,4]=>[5,2,1,3,6,7,8,4]=>[4,8,7,6,3,1,2,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [4,2,6,7,3,5,8,1]=>[4,6,2,7,3,5,8,1]=>[1,8,5,3,7,2,6,4]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [3,5,7,2,8,1,4,6]=>[7,5,8,3,2,1,4,6]=>[6,4,1,2,3,8,5,7]=>[[1,4,5,6,8],[2,7],[3]]=>13 [3,7,2,4,8,1,5,6]=>[3,7,2,4,1,8,5,6]=>[6,5,8,1,4,2,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [7,2,4,6,8,1,3,5]=>[7,4,6,2,1,3,8,5]=>[5,8,3,1,2,6,4,7]=>[[1,2,6,8],[3,5],[4,7]]=>15 [7,1,3,4,6,8,2,5]=>[7,3,4,6,1,2,8,5]=>[5,8,2,1,6,4,3,7]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [3,5,7,2,6,8,1,4]=>[7,5,3,6,8,2,1,4]=>[4,1,2,8,6,3,5,7]=>[[1,3,4,7,8],[2,5],[6]]=>14 [6,3,7,2,5,8,1,4]=>[6,3,7,2,5,1,8,4]=>[4,8,1,5,2,7,3,6]=>[[1,2,6,8],[3,4,7],[5]]=>16 [6,3,5,7,2,8,1,4]=>[6,3,5,2,7,1,8,4]=>[4,8,1,7,2,5,3,6]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [6,3,5,7,2,4,8,1]=>[6,3,5,2,7,4,8,1]=>[1,8,4,7,2,5,3,6]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [4,7,1,2,5,6,8,3]=>[4,1,7,2,5,6,8,3]=>[3,8,6,5,2,7,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [2,6,7,5,8,1,3,4]=>[6,7,5,2,1,8,3,4]=>[4,3,8,1,2,5,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>15 [5,4,2,6,7,3,8,1]=>[2,5,4,6,7,3,8,1]=>[1,8,3,7,6,4,5,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>14 [5,4,2,6,1,7,8,3]=>[2,5,4,1,6,7,8,3]=>[3,8,7,6,1,4,5,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [1,5,4,6,2,7,8,3]=>[5,4,1,6,7,8,2,3]=>[3,2,8,7,6,1,4,5]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [5,6,4,1,2,7,8,3]=>[1,5,2,6,4,7,8,3]=>[3,8,7,4,6,2,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [6,4,5,1,2,7,8,3]=>[1,4,2,6,5,7,8,3]=>[3,8,7,5,6,2,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [6,3,5,1,7,8,2,4]=>[3,6,1,5,7,2,8,4]=>[4,8,2,7,5,1,6,3]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [5,6,4,7,1,3,8,2]=>[5,1,6,4,7,3,8,2]=>[2,8,3,7,4,6,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [5,4,6,3,1,7,8,2]=>[5,4,1,6,3,7,8,2]=>[2,8,7,3,6,1,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [7,5,3,2,4,8,1,6]=>[3,2,5,4,7,1,8,6]=>[6,8,1,7,4,5,2,3]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [8,4,5,2,6,1,3,7]=>[4,2,5,1,6,3,8,7]=>[7,8,3,6,1,5,2,4]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [8,5,4,2,1,6,3,7]=>[2,1,5,4,6,3,8,7]=>[7,8,3,6,4,5,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [8,5,3,4,1,6,2,7]=>[3,1,5,4,6,2,8,7]=>[7,8,2,6,4,5,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [8,4,5,3,1,6,2,7]=>[4,1,5,3,6,2,8,7]=>[7,8,2,6,3,5,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [7,5,4,2,1,8,3,6]=>[2,1,5,4,7,3,8,6]=>[6,8,3,7,4,5,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [7,5,4,2,1,6,8,3]=>[2,1,5,4,7,6,8,3]=>[3,8,6,7,4,5,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [7,4,5,3,1,6,8,2]=>[4,1,5,3,7,6,8,2]=>[2,8,6,7,3,5,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [7,4,3,5,6,1,8,2]=>[4,3,5,1,7,6,8,2]=>[2,8,6,7,1,5,3,4]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [5,6,3,7,4,1,8,2]=>[5,3,6,1,7,4,8,2]=>[2,8,4,7,1,6,3,5]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [5,6,7,3,1,4,8,2]=>[5,1,6,3,7,4,8,2]=>[2,8,4,7,3,6,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [6,7,3,4,1,5,8,2]=>[3,1,6,4,7,5,8,2]=>[2,8,5,7,4,6,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [6,7,4,2,1,5,8,3]=>[2,1,6,4,7,5,8,3]=>[3,8,5,7,4,6,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [5,6,7,3,1,8,2,4]=>[5,1,6,3,7,2,8,4]=>[4,8,2,7,3,6,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [5,6,3,7,8,1,2,4]=>[5,3,6,1,7,2,8,4]=>[4,8,2,7,1,6,3,5]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [5,6,3,7,2,4,8,1]=>[5,3,6,2,7,4,8,1]=>[1,8,4,7,2,6,3,5]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [5,6,7,2,3,8,1,4]=>[5,2,6,3,7,1,8,4]=>[4,8,1,7,3,6,2,5]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [7,4,5,2,8,1,3,6]=>[4,2,5,1,7,3,8,6]=>[6,8,3,7,1,5,2,4]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [6,7,3,2,4,8,1,5]=>[3,2,6,4,7,1,8,5]=>[5,8,1,7,4,6,2,3]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [7,6,4,2,1,3,8,5]=>[2,1,4,3,7,6,8,5]=>[5,8,6,7,3,4,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [7,6,3,4,1,2,8,5]=>[3,1,4,2,7,6,8,5]=>[5,8,6,7,2,4,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [7,6,3,2,4,1,8,5]=>[3,2,4,1,7,6,8,5]=>[5,8,6,7,1,4,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [6,7,3,2,5,1,8,4]=>[3,2,6,1,7,5,8,4]=>[4,8,5,7,1,6,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [6,5,3,2,7,8,1,4]=>[3,2,6,5,7,1,8,4]=>[4,8,1,7,5,6,2,3]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [6,5,3,2,7,4,8,1]=>[3,2,6,5,7,4,8,1]=>[1,8,4,7,5,6,2,3]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [6,4,5,2,7,3,8,1]=>[4,2,6,5,7,3,8,1]=>[1,8,3,7,5,6,2,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [6,4,5,2,7,8,1,3]=>[4,2,6,5,7,1,8,3]=>[3,8,1,7,5,6,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [7,4,5,2,6,1,8,3]=>[4,2,5,1,7,6,8,3]=>[3,8,6,7,1,5,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [7,4,5,6,1,2,8,3]=>[4,1,5,2,7,6,8,3]=>[3,8,6,7,2,5,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [5,6,7,4,1,2,8,3]=>[5,1,6,2,7,4,8,3]=>[3,8,4,7,2,6,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [5,6,4,2,7,8,1,3]=>[5,2,6,4,7,1,8,3]=>[3,8,1,7,4,6,2,5]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [6,5,7,2,1,8,3,4]=>[2,1,6,5,7,3,8,4]=>[4,8,3,7,5,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [6,5,7,2,1,4,8,3]=>[2,1,6,5,7,4,8,3]=>[3,8,4,7,5,6,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [5,4,6,7,3,1,8,2]=>[5,4,6,1,7,3,8,2]=>[2,8,3,7,1,6,4,5]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [5,7,8,3,6,4,1,2]=>[7,5,8,3,1,6,4,2]=>[2,4,6,1,3,8,5,7]=>[[1,2,3,6],[4,5,7,8]]=>21 [3,7,8,5,6,4,1,2]=>[7,5,8,6,3,1,4,2]=>[2,4,1,3,6,8,5,7]=>[[1,2,5,6],[3,4,7,8]]=>20 [3,7,8,5,6,1,4,2]=>[7,5,3,8,6,1,4,2]=>[2,4,1,6,8,3,5,7]=>[[1,2,4,5],[3,6,7,8]]=>19 [1,7,8,5,6,3,4,2]=>[7,5,3,8,6,4,1,2]=>[2,1,4,6,8,3,5,7]=>[[1,3,4,5],[2,6,7,8]]=>18 [1,7,5,8,6,3,4,2]=>[5,7,3,8,6,4,1,2]=>[2,1,4,6,8,3,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>17 [3,7,5,8,6,1,4,2]=>[5,7,3,8,6,1,4,2]=>[2,4,1,6,8,3,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>18 [3,7,5,8,6,4,1,2]=>[5,7,8,6,3,1,4,2]=>[2,4,1,3,6,8,7,5]=>[[1,2,5,6],[3,4,7],[8]]=>19 [5,7,3,8,6,4,1,2]=>[5,7,8,3,1,6,4,2]=>[2,4,6,1,3,8,7,5]=>[[1,2,3,6],[4,5,7],[8]]=>20 [7,3,8,5,6,4,1,2]=>[7,3,8,5,1,6,4,2]=>[2,4,6,1,5,8,3,7]=>[[1,2,3,6],[4,5,8],[7]]=>21 [7,3,5,8,6,4,1,2]=>[3,7,8,5,1,6,4,2]=>[2,4,6,1,5,8,7,3]=>[[1,2,3,6],[4,5,7],[8]]=>20 [3,5,7,8,6,4,1,2]=>[7,8,5,6,3,1,4,2]=>[2,4,1,3,6,5,8,7]=>[[1,2,5,7],[3,4,6,8]]=>18 [1,5,7,8,6,3,4,2]=>[7,8,5,3,6,4,1,2]=>[2,1,4,6,3,5,8,7]=>[[1,3,4,7],[2,5,6,8]]=>16 [1,5,7,8,3,6,4,2]=>[7,5,8,3,6,4,1,2]=>[2,1,4,6,3,8,5,7]=>[[1,3,4,6],[2,5,7,8]]=>15 [3,5,7,8,1,6,4,2]=>[7,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,7]=>[[1,2,4,6],[3,5,7,8]]=>16 [5,3,7,8,1,6,4,2]=>[3,5,7,8,1,6,4,2]=>[2,4,6,1,8,7,5,3]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [7,3,5,8,6,1,4,2]=>[3,7,5,8,1,6,4,2]=>[2,4,6,1,8,5,7,3]=>[[1,2,3,5],[4,6,7],[8]]=>19 [7,3,8,5,6,1,4,2]=>[7,3,1,8,5,6,4,2]=>[2,4,6,5,8,1,3,7]=>[[1,2,3,5],[4,7,8],[6]]=>20 [7,8,1,5,6,3,4,2]=>[1,7,8,5,3,6,4,2]=>[2,4,6,3,5,8,7,1]=>[[1,2,3,6],[4,5,7],[8]]=>20 [7,1,8,5,6,3,4,2]=>[7,5,1,8,6,3,4,2]=>[2,4,3,6,8,1,5,7]=>[[1,2,4,5],[3,7,8],[6]]=>19 [7,1,5,8,6,3,4,2]=>[5,7,1,8,6,3,4,2]=>[2,4,3,6,8,1,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>18 [3,1,7,8,5,6,4,2]=>[7,5,8,6,1,3,4,2]=>[2,4,3,1,6,8,5,7]=>[[1,2,5,6],[3,7,8],[4]]=>15 [1,3,7,8,5,6,4,2]=>[7,5,8,6,3,4,1,2]=>[2,1,4,3,6,8,5,7]=>[[1,3,5,6],[2,4,7,8]]=>14 [3,1,7,5,8,6,4,2]=>[5,7,8,6,1,3,4,2]=>[2,4,3,1,6,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>14 [5,1,7,3,8,6,4,2]=>[5,7,8,1,6,3,4,2]=>[2,4,3,6,1,8,7,5]=>[[1,2,4,6],[3,7],[5,8]]=>15 [7,1,5,3,8,6,4,2]=>[1,5,7,8,6,3,4,2]=>[2,4,3,6,8,7,5,1]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [7,1,5,8,3,6,4,2]=>[5,1,7,8,6,3,4,2]=>[2,4,3,6,8,7,1,5]=>[[1,2,4,5],[3,6],[7,8]]=>17 [7,8,1,5,3,6,4,2]=>[1,7,3,8,5,6,4,2]=>[2,4,6,5,8,3,7,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [7,8,3,5,1,6,4,2]=>[3,7,1,5,8,6,4,2]=>[2,4,6,8,5,1,7,3]=>[[1,2,3,4],[5,7],[6,8]]=>20 [7,3,5,8,1,6,4,2]=>[3,1,7,8,5,6,4,2]=>[2,4,6,5,8,7,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>18 [1,7,5,3,8,6,4,2]=>[3,5,7,8,6,4,1,2]=>[2,1,4,6,8,7,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [5,7,3,1,8,6,4,2]=>[1,5,7,8,3,6,4,2]=>[2,4,6,3,8,7,5,1]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [5,7,3,8,6,1,4,2]=>[5,7,3,8,1,6,4,2]=>[2,4,6,1,8,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>19 [1,7,5,8,3,6,4,2]=>[5,3,7,8,6,4,1,2]=>[2,1,4,6,8,7,3,5]=>[[1,3,4,5],[2,6,8],[7]]=>16 [1,7,8,5,3,6,4,2]=>[3,7,5,8,6,4,1,2]=>[2,1,4,6,8,5,7,3]=>[[1,3,4,5],[2,6,7],[8]]=>17 [3,7,8,5,1,6,4,2]=>[3,7,5,8,6,1,4,2]=>[2,4,1,6,8,5,7,3]=>[[1,2,4,5],[3,6,7],[8]]=>18 [5,7,8,3,6,1,4,2]=>[7,5,3,8,1,6,4,2]=>[2,4,6,1,8,3,5,7]=>[[1,2,3,5],[4,6,7,8]]=>20 [5,7,8,6,3,1,4,2]=>[7,1,8,5,3,6,4,2]=>[2,4,6,3,5,8,1,7]=>[[1,2,3,6],[4,5,8],[7]]=>21 [7,5,8,6,1,3,4,2]=>[1,5,7,3,8,6,4,2]=>[2,4,6,8,3,7,5,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [5,7,8,1,6,3,4,2]=>[5,7,1,8,3,6,4,2]=>[2,4,6,3,8,1,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>19 [5,7,8,1,3,6,4,2]=>[5,1,7,8,3,6,4,2]=>[2,4,6,3,8,7,1,5]=>[[1,2,3,5],[4,6],[7,8]]=>18 [3,7,8,1,5,6,4,2]=>[7,3,5,8,6,1,4,2]=>[2,4,1,6,8,5,3,7]=>[[1,2,4,5],[3,6,8],[7]]=>17 [1,7,8,3,5,6,4,2]=>[7,3,5,8,6,4,1,2]=>[2,1,4,6,8,5,3,7]=>[[1,3,4,5],[2,6,8],[7]]=>16 [1,7,3,8,5,6,4,2]=>[7,3,8,5,6,4,1,2]=>[2,1,4,6,5,8,3,7]=>[[1,3,4,6],[2,5,8],[7]]=>15 [3,7,1,8,5,6,4,2]=>[7,3,8,5,6,1,4,2]=>[2,4,1,6,5,8,3,7]=>[[1,2,4,6],[3,5,8],[7]]=>16 [5,7,1,8,3,6,4,2]=>[7,5,8,1,3,6,4,2]=>[2,4,6,3,1,8,5,7]=>[[1,2,3,6],[4,7,8],[5]]=>17 [7,5,8,1,6,3,4,2]=>[5,7,1,3,8,6,4,2]=>[2,4,6,8,3,1,7,5]=>[[1,2,3,4],[5,7],[6,8]]=>20 [7,8,5,1,6,3,4,2]=>[7,5,1,3,8,6,4,2]=>[2,4,6,8,3,1,5,7]=>[[1,2,3,4],[5,7,8],[6]]=>21 [7,8,5,1,3,6,4,2]=>[1,7,3,5,8,6,4,2]=>[2,4,6,8,5,3,7,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [7,5,8,1,3,6,4,2]=>[5,1,3,7,8,6,4,2]=>[2,4,6,8,7,3,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [7,5,1,8,3,6,4,2]=>[7,1,5,8,3,6,4,2]=>[2,4,6,3,8,5,1,7]=>[[1,2,3,5],[4,6,8],[7]]=>18 [7,5,1,3,8,6,4,2]=>[1,3,7,8,5,6,4,2]=>[2,4,6,5,8,7,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [3,7,1,5,8,6,4,2]=>[3,7,8,5,6,1,4,2]=>[2,4,1,6,5,8,7,3]=>[[1,2,4,6],[3,5,7],[8]]=>15 [1,7,3,5,8,6,4,2]=>[3,7,8,5,6,4,1,2]=>[2,1,4,6,5,8,7,3]=>[[1,3,4,6],[2,5,7],[8]]=>14 [1,5,3,7,8,6,4,2]=>[7,8,3,5,6,4,1,2]=>[2,1,4,6,5,3,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>13 [5,3,1,7,8,6,4,2]=>[7,8,1,3,5,6,4,2]=>[2,4,6,5,3,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [7,3,1,5,8,6,4,2]=>[1,7,8,3,5,6,4,2]=>[2,4,6,5,3,8,7,1]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [7,3,1,8,5,6,4,2]=>[7,1,8,3,5,6,4,2]=>[2,4,6,5,3,8,1,7]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [7,8,3,1,5,6,4,2]=>[7,1,3,5,8,6,4,2]=>[2,4,6,8,5,3,1,7]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [7,8,1,3,5,6,4,2]=>[7,1,3,8,5,6,4,2]=>[2,4,6,5,8,3,1,7]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [7,1,8,3,5,6,4,2]=>[7,1,5,8,6,3,4,2]=>[2,4,3,6,8,5,1,7]=>[[1,2,4,5],[3,6,8],[7]]=>17 [7,1,3,8,5,6,4,2]=>[7,1,8,5,6,3,4,2]=>[2,4,3,6,5,8,1,7]=>[[1,2,4,6],[3,5,8],[7]]=>16 [7,1,3,5,8,6,4,2]=>[1,7,8,5,6,3,4,2]=>[2,4,3,6,5,8,7,1]=>[[1,2,4,6],[3,5,7],[8]]=>15 [3,1,5,7,8,6,4,2]=>[7,8,5,6,1,3,4,2]=>[2,4,3,1,6,5,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>13 [5,7,3,4,8,1,6,2]=>[3,7,5,4,8,1,6,2]=>[2,6,1,8,4,5,7,3]=>[[1,2,4,7],[3,5,6],[8]]=>17 [7,3,5,6,1,2,8,4]=>[3,1,7,5,2,6,8,4]=>[4,8,6,2,5,7,1,3]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [5,7,3,1,4,6,2,8]=>[1,3,7,5,4,6,2,8]=>[8,2,6,4,5,7,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>13 [5,7,3,1,4,8,6,2]=>[1,3,7,5,8,4,6,2]=>[2,6,4,8,5,7,3,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [5,3,7,4,1,2,8,6]=>[5,3,1,7,4,8,2,6]=>[6,2,8,4,7,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>13 [5,3,7,4,1,2,6,8]=>[5,3,1,7,4,2,6,8]=>[8,6,2,4,7,1,3,5]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [5,3,7,1,4,2,6,8]=>[1,5,3,7,4,2,6,8]=>[8,6,2,4,7,3,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [5,3,7,1,4,2,8,6]=>[1,5,3,7,4,8,2,6]=>[6,2,8,4,7,3,5,1]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [3,7,5,1,2,8,6,4]=>[1,5,3,7,8,6,2,4]=>[4,2,6,8,7,3,5,1]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [7,3,8,5,1,2,6,4]=>[1,7,3,2,8,5,6,4]=>[4,6,5,8,2,3,7,1]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [7,3,5,8,1,2,6,4]=>[3,1,7,5,8,2,6,4]=>[4,6,2,8,5,7,1,3]=>[[1,2,4],[3,5,6],[7,8]]=>16 [3,7,5,1,2,6,4,8]=>[1,5,3,7,6,2,4,8]=>[8,4,2,6,7,3,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [3,7,5,1,2,6,8,4]=>[1,5,3,7,6,8,2,4]=>[4,2,8,6,7,3,5,1]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [6,1,4,3,5,2,8,7]=>[6,1,4,3,5,8,2,7]=>[7,2,8,5,3,4,1,6]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [2,5,7,3,8,4,1,6]=>[7,5,2,8,3,4,1,6]=>[6,1,4,3,8,2,5,7]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [5,4,7,8,6,1,3,2]=>[5,7,4,8,1,6,3,2]=>[2,3,6,1,8,4,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>19 [7,5,6,2,8,3,1,4]=>[2,5,7,6,3,1,8,4]=>[4,8,1,3,6,7,5,2]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [3,5,6,2,4,1,8,7]=>[5,6,3,2,4,8,1,7]=>[7,1,8,4,2,3,6,5]=>[[1,3,6,7],[2,4],[5,8]]=>11 [3,8,6,7,5,4,1,2]=>[6,8,7,5,3,1,4,2]=>[2,4,1,3,5,7,8,6]=>[[1,2,5,6,7],[3,4,8]]=>21 [6,2,7,8,3,4,1,5]=>[6,2,7,3,4,1,8,5]=>[5,8,1,4,3,7,2,6]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [2,5,3,4,8,1,7,6]=>[5,2,8,3,4,7,1,6]=>[6,1,7,4,3,8,2,5]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [8,7,1,2,5,3,4,6]=>[1,5,2,3,4,8,7,6]=>[6,7,8,4,3,2,5,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [5,1,8,2,3,4,7,6]=>[1,2,5,8,3,7,4,6]=>[6,4,7,3,8,5,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [3,7,8,1,5,4,6,2]=>[7,3,8,1,5,4,6,2]=>[2,6,4,5,1,8,3,7]=>[[1,2,4,6],[3,7,8],[5]]=>16 [5,8,7,1,4,6,2,3]=>[1,5,8,7,4,2,6,3]=>[3,6,2,4,7,8,5,1]=>[[1,2,5,6],[3,4,7],[8]]=>19 [4,7,6,1,8,3,5,2]=>[4,7,6,1,8,3,5,2]=>[2,5,3,8,1,6,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>17 [4,7,2,6,3,8,5,1]=>[4,2,7,6,8,3,5,1]=>[1,5,3,8,6,7,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>16 [4,7,8,6,3,1,2,5]=>[7,1,8,6,4,3,2,5]=>[5,2,3,4,6,8,1,7]=>[[1,3,4,5,6],[2,8],[7]]=>19 [3,8,1,5,6,7,2,4]=>[3,5,6,1,8,7,2,4]=>[4,2,7,8,1,6,5,3]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [2,8,3,6,7,5,1,4]=>[6,8,7,2,5,3,1,4]=>[4,1,3,5,2,7,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>16 [8,2,1,7,6,3,5,4]=>[2,8,7,6,1,3,5,4]=>[4,5,3,1,6,7,8,2]=>[[1,2,5,6,7],[3,8],[4]]=>16 [7,4,6,3,2,1,8,5]=>[7,4,3,2,1,6,8,5]=>[5,8,6,1,2,3,4,7]=>[[1,2,6,7,8],[3,5],[4]]=>17 [4,7,3,2,1,8,6,5]=>[4,3,2,7,8,6,1,5]=>[5,1,6,8,7,2,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>14 [6,4,7,5,2,3,8,1]=>[4,6,2,7,5,3,8,1]=>[1,8,3,5,7,2,6,4]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [6,4,8,1,7,3,2,5]=>[4,1,6,8,3,2,7,5]=>[5,7,2,3,8,6,1,4]=>[[1,2,5],[3,4,6],[7,8]]=>17 [4,8,7,2,3,1,5,6]=>[2,4,3,1,8,7,5,6]=>[6,5,7,8,1,3,4,2]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [8,7,2,6,4,1,5,3]=>[2,1,8,7,4,6,5,3]=>[3,5,6,4,7,8,1,2]=>[[1,2,3,5,6],[4,8],[7]]=>21 [6,7,8,2,5,3,1,4]=>[2,6,7,3,1,8,5,4]=>[4,5,8,1,3,7,6,2]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [2,1,5,7,8,4,6,3]=>[7,8,5,2,4,6,1,3]=>[3,1,6,4,2,5,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>11 [6,4,1,5,7,2,8,3]=>[1,6,4,5,2,7,8,3]=>[3,8,7,2,5,4,6,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [7,4,8,1,2,5,6,3]=>[1,4,7,2,5,8,6,3]=>[3,6,8,5,2,7,4,1]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [6,1,7,4,3,2,8,5]=>[6,4,3,1,2,7,8,5]=>[5,8,7,2,1,3,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [6,8,3,4,2,1,7,5]=>[3,6,4,2,8,1,7,5]=>[5,7,1,8,2,4,6,3]=>[[1,2,4,7],[3,5,6],[8]]=>17 [4,2,6,1,5,7,8,3]=>[2,4,6,1,5,7,8,3]=>[3,8,7,5,1,6,4,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [2,4,6,7,3,5,8,1]=>[6,7,4,2,3,5,8,1]=>[1,8,5,3,2,4,7,6]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [7,1,4,8,3,5,6,2]=>[7,4,1,3,8,5,6,2]=>[2,6,5,8,3,1,4,7]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [3,4,8,2,5,7,6,1]=>[3,4,8,7,2,5,6,1]=>[1,6,5,2,7,8,4,3]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [3,6,8,7,2,5,1,4]=>[8,6,3,7,5,2,1,4]=>[4,1,2,5,7,3,6,8]=>[[1,3,4,5,8],[2,6,7]]=>18 [3,5,7,2,8,6,1,4]=>[7,5,8,3,6,2,1,4]=>[4,1,2,6,3,8,5,7]=>[[1,3,4,6,8],[2,5,7]]=>15 [2,6,3,7,5,1,8,4]=>[6,7,2,5,3,8,1,4]=>[4,1,8,3,5,2,7,6]=>[[1,3,5,7],[2,4],[6,8]]=>12 [2,6,4,8,7,5,1,3]=>[8,4,6,7,5,2,1,3]=>[3,1,2,5,7,6,4,8]=>[[1,3,4,5,8],[2,6],[7]]=>16 [6,3,7,2,8,5,1,4]=>[6,3,7,8,2,1,5,4]=>[4,5,1,2,8,7,3,6]=>[[1,2,5,8],[3,4,6],[7]]=>17 [5,2,8,4,7,6,1,3]=>[5,8,7,2,4,1,6,3]=>[3,6,1,4,2,7,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>17 [7,2,4,8,6,5,1,3]=>[7,8,2,6,4,1,5,3]=>[3,5,1,4,6,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>18 [1,3,4,6,2,8,7,5]=>[6,8,3,4,7,1,2,5]=>[5,2,1,7,4,3,8,6]=>[[1,4,7],[2,5,8],[3,6]]=>7 [4,2,7,3,8,1,6,5]=>[7,4,2,8,3,6,1,5]=>[5,1,6,3,8,2,4,7]=>[[1,3,5,8],[2,4,7],[6]]=>13 [2,5,1,4,7,3,8,6]=>[2,5,7,4,8,1,3,6]=>[6,3,1,8,4,7,5,2]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [3,1,5,6,2,8,7,4]=>[3,5,8,1,6,7,2,4]=>[4,2,7,6,1,8,5,3]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [1,2,4,6,3,8,7,5]=>[6,8,4,7,1,2,3,5]=>[5,3,2,1,7,4,8,6]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [5,1,3,7,2,8,6,4]=>[3,5,7,8,1,2,6,4]=>[4,6,2,1,8,7,5,3]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [2,6,1,4,3,8,7,5]=>[2,6,8,1,4,7,3,5]=>[5,3,7,4,1,8,6,2]=>[[1,3,6],[2,4,7],[5,8]]=>9 [3,6,2,4,1,8,7,5]=>[3,2,6,8,4,7,1,5]=>[5,1,7,4,8,6,2,3]=>[[1,3,5],[2,4,6],[7,8]]=>11 [6,3,4,1,8,7,5,2]=>[3,8,1,4,6,7,5,2]=>[2,5,7,6,4,1,8,3]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [1,6,4,2,8,7,5,3]=>[8,1,4,6,7,5,2,3]=>[3,2,5,7,6,4,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [5,3,6,2,8,1,7,4]=>[3,5,2,6,8,1,7,4]=>[4,7,1,8,6,2,5,3]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [4,5,2,6,1,8,7,3]=>[4,2,5,8,1,6,7,3]=>[3,7,6,1,8,5,2,4]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [1,5,8,3,2,7,6,4]=>[5,8,1,7,3,6,2,4]=>[4,2,6,3,7,1,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>12 [2,5,8,3,1,7,6,4]=>[2,5,8,7,3,6,1,4]=>[4,1,6,3,7,8,5,2]=>[[1,3,5,6],[2,4,7],[8]]=>13 [3,6,2,5,1,4,8,7]=>[3,6,5,2,8,1,4,7]=>[7,4,1,8,2,5,6,3]=>[[1,4,6,7],[2,5],[3,8]]=>10 [5,2,8,4,1,3,7,6]=>[5,2,1,8,4,7,3,6]=>[6,3,7,4,8,1,2,5]=>[[1,3,5],[2,4,8],[6,7]]=>13 [2,4,8,7,1,3,6,5]=>[4,2,8,7,6,1,3,5]=>[5,3,1,6,7,8,2,4]=>[[1,4,5,6],[2,7,8],[3]]=>13 [2,5,8,1,3,7,6,4]=>[5,8,2,7,1,6,3,4]=>[4,3,6,1,7,2,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>12 [2,3,8,1,4,7,6,5]=>[8,2,3,7,6,1,4,5]=>[5,4,1,6,7,3,2,8]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [1,3,8,2,4,7,6,5]=>[8,1,7,3,6,2,4,5]=>[5,4,2,6,3,7,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [3,4,1,7,2,8,6,5]=>[3,4,7,8,1,6,2,5]=>[5,2,6,1,8,7,4,3]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [4,6,1,2,8,7,5,3]=>[8,1,4,6,7,2,5,3]=>[3,5,2,7,6,4,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [1,5,2,3,8,7,6,4]=>[8,7,1,2,5,6,3,4]=>[4,3,6,5,2,1,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [6,4,1,2,8,7,5,3]=>[8,1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>14 [7,4,1,2,8,6,5,3]=>[7,8,1,2,4,6,5,3]=>[3,5,6,4,2,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [5,2,8,1,3,7,6,4]=>[5,8,2,7,1,3,6,4]=>[4,6,3,1,7,2,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>13 [4,7,5,6,8,3,1,2]=>[4,7,5,6,1,8,3,2]=>[2,3,8,1,6,5,7,4]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [8,6,4,7,5,3,1,2]=>[4,6,1,8,7,5,3,2]=>[2,3,5,7,8,1,6,4]=>[[1,2,3,4,5],[6,7],[8]]=>24 [1,6,3,7,5,8,4,2]=>[6,7,3,5,8,4,1,2]=>[2,1,4,8,5,3,7,6]=>[[1,3,4,7],[2,5,8],[6]]=>13 [1,3,7,4,5,8,6,2]=>[3,4,7,8,5,6,1,2]=>[2,1,6,5,8,7,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [8,3,7,4,6,5,1,2]=>[8,3,7,4,1,6,5,2]=>[2,5,6,1,4,7,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>21 [6,8,4,7,5,3,1,2]=>[6,8,4,1,7,5,3,2]=>[2,3,5,7,1,4,8,6]=>[[1,2,3,4,7],[5,6,8]]=>23 [4,8,7,5,6,3,1,2]=>[4,8,7,5,1,6,3,2]=>[2,3,6,1,5,7,8,4]=>[[1,2,3,6,7],[4,5],[8]]=>22 [1,6,5,2,8,3,7,4]=>[6,1,5,8,2,7,3,4]=>[4,3,7,2,8,5,1,6]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [8,6,5,2,1,4,3,7]=>[2,6,1,5,4,3,8,7]=>[7,8,3,4,5,1,6,2]=>[[1,2,5,7],[3,4],[6,8]]=>18 [2,7,6,4,5,1,3,8]=>[4,7,6,5,2,1,3,8]=>[8,3,1,2,5,6,7,4]=>[[1,4,5,6,7],[2,8],[3]]=>14 [5,7,2,6,4,1,3,8]=>[7,2,5,1,6,4,3,8]=>[8,3,4,6,1,5,2,7]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [6,1,3,7,5,8,4,2]=>[6,7,1,5,8,3,4,2]=>[2,4,3,8,5,1,7,6]=>[[1,2,4,7],[3,5],[6,8]]=>14 [4,1,7,3,6,8,5,2]=>[4,7,6,8,1,3,5,2]=>[2,5,3,1,8,6,7,4]=>[[1,2,5,7],[3,6],[4,8]]=>13 [2,1,7,4,8,6,3,5]=>[7,8,2,6,4,1,3,5]=>[5,3,1,4,6,2,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>11 [1,8,2,7,3,6,5,4]=>[8,7,1,6,2,5,3,4]=>[4,3,5,2,6,1,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>13 [2,1,3,8,4,7,5,6]=>[8,2,1,7,3,4,5,6]=>[6,5,4,3,7,1,2,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [5,3,1,6,8,4,7,2]=>[8,1,3,5,6,4,7,2]=>[2,7,4,6,5,3,1,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>13 [8,7,2,1,5,4,3,6]=>[5,2,4,1,3,8,7,6]=>[6,7,8,3,1,4,2,5]=>[[1,2,3],[4,6,8],[5,7]]=>17 [8,2,3,1,4,6,5,7]=>[2,3,6,1,4,5,8,7]=>[7,8,5,4,1,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>10 [2,4,8,3,1,5,6,7]=>[4,2,3,1,8,5,6,7]=>[7,6,5,8,1,3,2,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [3,4,2,7,1,5,6,8]=>[7,3,4,2,1,5,6,8]=>[8,6,5,1,2,4,3,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>8 [5,2,7,3,1,4,6,8]=>[2,5,3,1,7,4,6,8]=>[8,6,4,7,1,3,5,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [8,3,7,2,1,5,4,6]=>[3,2,8,1,5,4,7,6]=>[6,7,4,5,1,8,2,3]=>[[1,2,6],[3,4,8],[5,7]]=>16 [1,4,2,5,8,6,7,3]=>[1,8,4,5,6,7,2,3]=>[3,2,7,6,5,4,8,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [6,5,3,8,2,1,4,7]=>[6,5,3,2,1,8,4,7]=>[7,4,8,1,2,3,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>16 [5,4,6,2,7,1,3,8]=>[5,4,2,6,1,7,3,8]=>[8,3,7,1,6,2,4,5]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [7,6,3,1,8,4,5,2]=>[7,1,3,6,4,8,5,2]=>[2,5,8,4,6,3,1,7]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [6,5,1,2,8,3,7,4]=>[6,1,2,5,8,3,7,4]=>[4,7,3,8,5,2,1,6]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [6,8,4,1,3,7,5,2]=>[6,1,4,8,3,7,5,2]=>[2,5,7,3,8,4,1,6]=>[[1,2,3,5],[4,6,8],[7]]=>18 [6,5,7,1,3,8,4,2]=>[6,1,5,3,7,8,4,2]=>[2,4,8,7,3,5,1,6]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [1,2,8,7,6,3,5,4]=>[8,1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>13 [2,4,1,8,5,7,3,6]=>[4,8,7,2,5,1,3,6]=>[6,3,1,5,2,7,8,4]=>[[1,4,6,7],[2,5,8],[3]]=>10 [5,8,2,1,7,6,3,4]=>[8,2,5,1,7,3,6,4]=>[4,6,3,7,1,5,2,8]=>[[1,2,4,8],[3,6],[5,7]]=>16 [8,7,1,6,5,4,3,2]=>[8,7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>23 [7,1,8,3,6,5,4,2]=>[7,8,1,6,5,3,4,2]=>[2,4,3,5,6,1,8,7]=>[[1,2,4,5,7],[3,8],[6]]=>18 [3,5,8,7,2,6,4,1]=>[8,7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7,8]=>[[1,2,4,6,7,8],[3,5]]=>18 [8,6,3,7,5,2,1,4]=>[3,8,6,2,1,7,5,4]=>[4,5,7,1,2,6,8,3]=>[[1,2,3,7],[4,5,6],[8]]=>22 [4,6,3,8,5,2,1,7]=>[6,8,4,3,5,2,1,7]=>[7,1,2,5,3,4,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>16 [4,6,3,7,5,2,8,1]=>[6,4,7,3,5,2,8,1]=>[1,8,2,5,3,7,4,6]=>[[1,2,4,6,8],[3,7],[5]]=>16 [3,5,7,8,2,6,1,4]=>[7,8,5,3,6,2,1,4]=>[4,1,2,6,3,5,8,7]=>[[1,3,4,6,7],[2,5,8]]=>16 [7,6,3,8,5,2,4,1]=>[7,3,6,2,8,5,4,1]=>[1,4,5,8,2,6,3,7]=>[[1,2,3,4,8],[5,6],[7]]=>22 [7,2,3,4,6,1,8,5]=>[7,2,3,4,1,6,8,5]=>[5,8,6,1,4,3,2,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [7,2,3,4,6,8,5,1]=>[7,2,3,4,6,8,5,1]=>[1,5,8,6,4,3,2,7]=>[[1,2,3,8],[4],[5],[6],[7]]=>14 [7,8,3,6,5,1,4,2]=>[7,3,8,1,6,5,4,2]=>[2,4,5,6,1,8,3,7]=>[[1,2,3,4,6],[5,7,8]]=>22 [4,2,3,6,1,5,8,7]=>[2,4,6,3,8,1,5,7]=>[7,5,1,8,3,6,4,2]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [4,8,3,7,5,1,6,2]=>[8,4,3,1,7,5,6,2]=>[2,6,5,7,1,3,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>18 [5,2,3,4,7,8,6,1]=>[2,3,5,7,8,4,6,1]=>[1,6,4,8,7,5,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [8,2,3,4,7,1,6,5]=>[2,8,3,4,7,1,6,5]=>[5,6,1,7,4,3,8,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [4,2,8,5,7,6,1,3]=>[8,2,7,4,5,1,6,3]=>[3,6,1,5,4,7,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [8,7,3,6,5,1,2,4]=>[1,8,7,3,2,6,5,4]=>[4,5,6,2,3,7,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>22 [4,2,7,5,8,6,3,1]=>[2,7,8,4,5,6,3,1]=>[1,3,6,5,4,8,7,2]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [5,2,7,8,4,6,3,1]=>[7,8,5,2,4,6,3,1]=>[1,3,6,4,2,5,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>18 [5,2,8,3,7,6,1,4]=>[8,5,7,2,3,1,6,4]=>[4,6,1,3,2,7,5,8]=>[[1,2,6,8],[3,4,7],[5]]=>16 [8,2,7,3,1,6,4,5]=>[8,2,3,1,7,4,6,5]=>[5,6,4,7,1,3,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [6,8,3,2,5,7,1,4]=>[3,6,2,8,5,1,7,4]=>[4,7,1,5,8,2,6,3]=>[[1,2,5],[3,4,7],[6,8]]=>18 [6,7,3,8,5,4,2,1]=>[3,6,7,8,5,4,2,1]=>[1,2,4,5,8,7,6,3]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [6,2,3,4,8,5,1,7]=>[6,2,3,4,8,5,1,7]=>[7,1,5,8,4,3,2,6]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [8,2,3,4,1,7,5,6]=>[8,2,3,4,1,5,7,6]=>[6,7,5,1,4,3,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [6,2,3,4,1,8,5,7]=>[2,3,4,6,1,8,5,7]=>[7,5,8,1,6,4,3,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>10 [6,8,3,1,5,7,4,2]=>[6,1,3,8,5,7,4,2]=>[2,4,7,5,8,3,1,6]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [7,2,3,4,1,5,8,6]=>[2,3,4,1,5,7,8,6]=>[6,8,7,5,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>10 [1,2,3,4,8,7,5,6]=>[1,8,7,2,3,4,5,6]=>[6,5,4,3,2,7,8,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>5 [1,2,8,5,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[7,6,4,5,3,2,8,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>7 [1,8,4,2,3,5,6,7]=>[1,4,2,3,5,8,6,7]=>[7,6,8,5,3,2,4,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>8 [7,1,8,4,6,5,2,3]=>[7,8,1,6,4,2,5,3]=>[3,5,2,4,6,1,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>18 [8,7,4,5,6,1,3,2]=>[4,1,5,8,7,6,3,2]=>[2,3,6,7,8,5,1,4]=>[[1,2,3,4,5],[6,8],[7]]=>23 [8,7,5,1,4,6,2,3]=>[5,4,1,2,8,7,6,3]=>[3,6,7,8,2,1,4,5]=>[[1,2,3,4],[5,7,8],[6]]=>21 [8,7,5,1,2,4,6,3]=>[5,1,2,4,8,7,6,3]=>[3,6,7,8,4,2,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [7,1,8,5,6,2,3,4]=>[7,1,2,8,5,3,6,4]=>[4,6,3,5,8,2,1,7]=>[[1,2,5],[3,4,8],[6],[7]]=>17 [3,5,8,7,1,2,6,4]=>[1,8,7,5,3,6,2,4]=>[4,2,6,3,5,7,8,1]=>[[1,3,5,6,7],[2,4],[8]]=>15 [2,3,8,5,7,1,6,4]=>[8,7,2,5,3,6,1,4]=>[4,1,6,3,5,2,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>13 [3,8,7,1,5,6,2,4]=>[3,5,1,8,7,6,2,4]=>[4,2,6,7,8,1,5,3]=>[[1,3,4,5],[2,7],[6,8]]=>17 [3,5,8,7,1,6,2,4]=>[8,7,5,3,1,6,2,4]=>[4,2,6,1,3,5,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>16 [2,3,8,6,7,5,1,4]=>[6,8,7,5,2,3,1,4]=>[4,1,3,2,5,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>15 [3,2,8,6,7,5,1,4]=>[6,8,7,3,5,2,1,4]=>[4,1,2,5,3,7,8,6]=>[[1,3,4,6,7],[2,5,8]]=>16 [4,1,8,6,2,7,5,3]=>[4,6,8,7,1,2,5,3]=>[3,5,2,1,7,8,6,4]=>[[1,2,5,6],[3,7],[4,8]]=>14 [8,7,4,1,2,6,5,3]=>[8,1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>19 [1,3,8,6,7,5,2,4]=>[6,8,7,5,3,1,2,4]=>[4,2,1,3,5,7,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>14 [2,8,7,1,5,6,3,4]=>[2,8,5,1,7,6,3,4]=>[4,3,6,7,1,5,8,2]=>[[1,3,4,7],[2,6],[5,8]]=>16 [1,6,2,8,4,7,5,3]=>[6,8,1,7,4,5,2,3]=>[3,2,5,4,7,1,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>12 [1,3,8,5,7,2,6,4]=>[8,5,3,7,6,1,2,4]=>[4,2,1,6,7,3,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>12 [1,8,3,7,2,5,6,4]=>[1,3,8,7,5,6,2,4]=>[4,2,6,5,7,8,3,1]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [2,8,7,1,3,5,6,4]=>[8,2,1,5,7,6,3,4]=>[4,3,6,7,5,1,2,8]=>[[1,3,4,8],[2,5],[6,7]]=>14 [5,7,1,8,2,3,6,4]=>[1,5,2,7,8,3,6,4]=>[4,6,3,8,7,2,5,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [7,1,8,2,3,5,6,4]=>[7,1,2,3,8,5,6,4]=>[4,6,5,8,3,2,1,7]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [8,6,3,7,4,1,5,2]=>[6,3,1,4,8,7,5,2]=>[2,5,7,8,4,1,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>21 [8,4,2,7,5,6,1,3]=>[2,8,4,5,1,7,6,3]=>[3,6,7,1,5,4,8,2]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [8,7,4,2,5,6,1,3]=>[2,4,5,1,8,7,6,3]=>[3,6,7,8,1,5,4,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [4,7,1,8,2,6,5,3]=>[4,7,8,1,6,2,5,3]=>[3,5,2,6,1,8,7,4]=>[[1,2,4,6],[3,7],[5,8]]=>15 [4,2,8,6,7,1,5,3]=>[8,2,6,4,7,1,5,3]=>[3,5,1,7,4,6,2,8]=>[[1,2,4,8],[3,5,6],[7]]=>16 [8,2,7,1,6,3,4,5]=>[2,1,8,3,7,4,6,5]=>[5,6,4,7,3,8,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [2,8,3,6,7,1,5,4]=>[8,2,6,3,7,5,1,4]=>[4,1,5,7,3,6,2,8]=>[[1,3,4,8],[2,5,6],[7]]=>15 [1,8,7,2,6,3,4,5]=>[1,2,8,3,7,6,4,5]=>[5,4,6,7,3,8,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>14 [8,2,7,3,6,1,4,5]=>[2,8,3,1,7,4,6,5]=>[5,6,4,7,1,3,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [1,8,7,3,6,2,4,5]=>[8,1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [8,7,3,1,5,6,2,4]=>[3,8,1,5,2,7,6,4]=>[4,6,7,2,5,1,8,3]=>[[1,2,3,7],[4,5],[6,8]]=>19 [2,8,7,3,5,6,1,4]=>[2,8,5,7,6,3,1,4]=>[4,1,3,6,7,5,8,2]=>[[1,3,4,5,7],[2,6],[8]]=>17 [8,3,1,6,7,5,2,4]=>[3,8,6,1,7,2,5,4]=>[4,5,2,7,1,6,8,3]=>[[1,2,4,7],[3,6],[5,8]]=>17 [1,5,2,8,6,7,4,3]=>[5,8,6,7,1,4,2,3]=>[3,2,4,1,7,6,8,5]=>[[1,3,5,7],[2,6],[4,8]]=>12 [1,2,8,6,7,5,3,4]=>[6,1,8,7,5,2,3,4]=>[4,3,2,5,7,8,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [1,8,3,6,7,5,2,4]=>[6,8,7,5,1,3,2,4]=>[4,2,3,1,5,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>15 [8,2,3,6,7,5,1,4]=>[6,8,7,2,3,1,5,4]=>[4,5,1,3,2,7,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>17 [8,3,7,2,5,6,1,4]=>[8,3,2,7,5,1,6,4]=>[4,6,1,5,7,2,3,8]=>[[1,2,5,8],[3,4,7],[6]]=>19 [8,1,3,7,5,6,2,4]=>[3,8,7,5,1,2,6,4]=>[4,6,2,1,5,7,8,3]=>[[1,2,6,7],[3,5],[4,8]]=>16 [8,1,4,2,6,7,5,3]=>[1,8,2,6,7,4,5,3]=>[3,5,4,7,6,2,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [1,2,8,6,7,3,5,4]=>[1,6,8,7,5,2,3,4]=>[4,3,2,5,7,8,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [8,1,7,3,6,2,4,5]=>[8,1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [1,7,8,2,3,6,5,4]=>[7,8,1,2,6,5,3,4]=>[4,3,5,6,2,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [8,3,7,1,2,5,6,4]=>[3,1,8,2,7,5,6,4]=>[4,6,5,7,2,8,1,3]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [8,7,1,2,3,6,4,5]=>[1,8,2,3,4,7,6,5]=>[5,6,7,4,3,2,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>15 [3,1,8,5,7,4,2,6]=>[8,7,3,5,1,4,2,6]=>[6,2,4,1,5,3,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>13 [2,7,5,8,4,6,3,1]=>[5,7,4,8,6,2,3,1]=>[1,3,2,6,8,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>18 [8,4,2,7,6,1,3,5]=>[8,4,2,1,7,3,6,5]=>[5,6,3,7,1,2,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>18 [4,8,1,7,6,3,2,5]=>[4,8,1,7,6,3,2,5]=>[5,2,3,6,7,1,8,4]=>[[1,3,4,5,7],[2,8],[6]]=>17 [3,7,1,8,6,2,5,4]=>[7,3,8,1,6,5,2,4]=>[4,2,5,6,1,8,3,7]=>[[1,3,4,6],[2,7,8],[5]]=>15 [3,1,7,6,4,5,2,8]=>[1,7,6,3,4,5,2,8]=>[8,2,5,4,3,6,7,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>11 [3,1,7,5,8,4,2,6]=>[7,8,3,5,1,4,2,6]=>[6,2,4,1,5,3,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>12 [6,3,8,7,5,2,4,1]=>[8,6,7,3,2,5,4,1]=>[1,4,5,2,3,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>21 [7,3,5,8,4,2,6,1]=>[5,7,3,4,2,8,6,1]=>[1,6,8,2,4,3,7,5]=>[[1,2,3,7],[4,5],[6,8]]=>19 [7,3,6,4,2,8,5,1]=>[3,7,4,2,6,8,5,1]=>[1,5,8,6,2,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [7,4,8,2,1,6,3,5]=>[2,7,4,1,8,3,6,5]=>[5,6,3,8,1,4,7,2]=>[[1,2,4],[3,6,7],[5,8]]=>17 [8,7,4,6,3,2,5,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[[1,2,3,4,8],[5,6,7]]=>24 [7,8,5,2,1,4,3,6]=>[2,7,1,5,4,3,8,6]=>[6,8,3,4,5,1,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>18 [7,5,2,3,1,4,8,6]=>[2,3,1,5,4,7,8,6]=>[6,8,7,4,5,1,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>13 [7,4,6,2,3,8,1,5]=>[2,7,4,3,6,1,8,5]=>[5,8,1,6,3,4,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [6,4,2,5,8,3,7,1]=>[2,4,6,8,5,3,7,1]=>[1,7,3,5,8,6,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [5,7,1,3,4,6,2,8]=>[1,5,3,7,4,6,2,8]=>[8,2,6,4,7,3,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [5,7,1,4,2,3,6,8]=>[1,7,2,5,4,3,6,8]=>[8,6,3,4,5,2,7,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>11 [8,4,6,2,1,3,7,5]=>[2,1,4,3,8,6,7,5]=>[5,7,6,8,3,4,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [6,5,3,4,1,2,8,7]=>[3,1,6,5,4,8,2,7]=>[7,2,8,4,5,6,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>14 [6,8,5,4,1,3,2,7]=>[8,1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>19 [9,8,7,6,5,2,3,1,4]=>[2,3,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,3,2]=>[[1,2,3,4,5,6],[7,8],[9]]=>32 [7,4,2,6,1,5,3,8]=>[2,4,7,1,6,5,3,8]=>[8,3,5,6,1,7,4,2]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [7,4,2,5,6,1,3,8]=>[2,4,5,1,7,6,3,8]=>[8,3,6,7,1,5,4,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [6,4,2,8,1,5,7,3]=>[2,4,6,1,8,5,7,3]=>[3,7,5,8,1,6,4,2]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [6,3,7,8,2,5,1,4]=>[6,7,3,8,2,1,5,4]=>[4,5,1,2,8,3,7,6]=>[[1,2,5,7],[3,4,6],[8]]=>18 [7,3,5,6,4,2,1,8]=>[3,7,5,6,4,2,1,8]=>[8,1,2,4,6,5,7,3]=>[[1,3,4,5,7],[2],[6],[8]]=>17 [5,3,7,2,8,6,4,1]=>[3,5,7,8,2,6,4,1]=>[1,4,6,2,8,7,5,3]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [6,4,8,2,1,5,7,3]=>[4,2,6,1,8,5,7,3]=>[3,7,5,8,1,6,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>16 [5,3,7,8,2,6,4,1]=>[7,3,5,8,2,6,4,1]=>[1,4,6,2,8,5,3,7]=>[[1,2,3,5],[4,6,8],[7]]=>18 [4,7,8,5,6,3,2,1]=>[7,4,8,5,6,3,2,1]=>[1,2,3,6,5,8,4,7]=>[[1,2,3,4,6],[5,8],[7]]=>22 [5,3,7,6,8,2,4,1]=>[7,3,5,6,2,8,4,1]=>[1,4,8,2,6,5,3,7]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [5,7,8,4,6,2,1,3]=>[7,8,5,4,2,1,6,3]=>[3,6,1,2,4,5,8,7]=>[[1,2,5,6,7],[3,4,8]]=>21 [5,3,8,6,2,7,4,1]=>[3,8,5,2,6,7,4,1]=>[1,4,7,6,2,5,8,3]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [4,7,5,8,6,3,2,1]=>[4,7,8,5,6,3,2,1]=>[1,2,3,6,5,8,7,4]=>[[1,2,3,4,6],[5,7],[8]]=>21 [4,8,6,7,5,3,2,1]=>[6,8,7,4,5,3,2,1]=>[1,2,3,5,4,7,8,6]=>[[1,2,3,4,6,7],[5,8]]=>23 [6,3,8,7,2,4,1,5]=>[8,6,3,2,4,1,7,5]=>[5,7,1,4,2,3,6,8]=>[[1,2,6,7,8],[3,4],[5]]=>18 [5,3,8,7,2,6,4,1]=>[3,8,5,7,2,6,4,1]=>[1,4,6,2,7,5,8,3]=>[[1,2,3,5,7],[4,6],[8]]=>19 [5,3,8,6,7,2,4,1]=>[3,8,5,6,2,7,4,1]=>[1,4,7,2,6,5,8,3]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [5,7,6,4,8,2,1,3]=>[7,5,6,4,2,1,8,3]=>[3,8,1,2,4,6,5,7]=>[[1,2,5,6,8],[3,4],[7]]=>20 [6,5,2,4,3,7,8,1]=>[6,2,5,4,3,7,8,1]=>[1,8,7,3,4,5,2,6]=>[[1,2,5,6,8],[3],[4],[7]]=>15 [5,4,6,2,8,7,1,3]=>[5,4,8,2,6,1,7,3]=>[3,7,1,6,2,8,4,5]=>[[1,2,6,8],[3,4,7],[5]]=>16 [6,7,4,3,1,8,2,5]=>[1,6,4,3,7,2,8,5]=>[5,8,2,7,3,4,6,1]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [5,7,4,3,6,8,1,2]=>[7,5,4,3,6,1,8,2]=>[2,8,1,6,3,4,5,7]=>[[1,2,6,7,8],[3,4],[5]]=>18 [5,7,3,8,6,2,4,1]=>[5,7,8,3,2,6,4,1]=>[1,4,6,2,3,8,7,5]=>[[1,2,3,6],[4,5,7],[8]]=>20 [4,5,8,6,7,3,2,1]=>[4,8,5,6,7,3,2,1]=>[1,2,3,7,6,5,8,4]=>[[1,2,3,4,7],[5],[6],[8]]=>20 [4,6,8,5,7,3,2,1]=>[8,6,4,5,7,3,2,1]=>[1,2,3,7,5,4,6,8]=>[[1,2,3,4,7,8],[5],[6]]=>21 [3,6,7,8,2,5,1,4]=>[6,7,3,8,5,2,1,4]=>[4,1,2,5,8,3,7,6]=>[[1,3,4,5],[2,6,7],[8]]=>17 [5,7,8,2,6,4,1,3]=>[5,7,8,2,1,6,4,3]=>[3,4,6,1,2,8,7,5]=>[[1,2,3,6],[4,5,7],[8]]=>20 [3,6,2,5,7,8,1,4]=>[3,6,5,7,8,2,1,4]=>[4,1,2,8,7,5,6,3]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [7,2,4,5,8,6,1,3]=>[2,4,7,8,5,1,6,3]=>[3,6,1,5,8,7,4,2]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [5,3,6,7,1,8,4,2]=>[3,5,1,6,7,8,4,2]=>[2,4,8,7,6,1,5,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [4,2,5,6,7,1,8,3]=>[2,4,5,6,1,7,8,3]=>[3,8,7,1,6,5,4,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>11 [8,2,3,7,5,1,6,4]=>[2,8,7,3,1,5,6,4]=>[4,6,5,1,3,7,8,2]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [8,1,3,6,7,2,4,5]=>[8,6,1,3,2,4,7,5]=>[5,7,4,2,3,1,6,8]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [8,1,4,2,5,6,3,7]=>[1,4,5,6,2,3,8,7]=>[7,8,3,2,6,5,4,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>11 [8,1,4,2,7,5,3,6]=>[4,8,1,5,2,3,7,6]=>[6,7,3,2,5,1,8,4]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [6,1,3,8,2,7,4,5]=>[6,8,3,1,2,4,7,5]=>[5,7,4,2,1,3,8,6]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [1,7,5,2,8,6,3,4]=>[5,7,1,2,8,6,3,4]=>[4,3,6,8,2,1,7,5]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [5,6,3,1,7,8,4,2]=>[1,5,3,6,7,8,4,2]=>[2,4,8,7,6,3,5,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [1,5,8,4,2,6,3,7]=>[1,5,4,8,6,2,3,7]=>[7,3,2,6,8,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [3,5,7,4,1,6,8,2]=>[7,5,3,1,4,6,8,2]=>[2,8,6,4,1,3,5,7]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [4,5,1,8,2,3,7,6]=>[4,1,5,8,2,7,3,6]=>[6,3,7,2,8,5,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [6,3,1,8,5,2,4,7]=>[6,3,1,8,2,5,4,7]=>[7,4,5,2,8,1,3,6]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [3,5,2,1,8,4,6,7]=>[5,8,3,2,1,4,6,7]=>[7,6,4,1,2,3,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [7,5,1,2,3,8,6,4]=>[1,2,3,5,7,8,6,4]=>[4,6,8,7,5,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>13 [6,4,1,2,7,3,8,5]=>[1,2,4,6,3,7,8,5]=>[5,8,7,3,6,4,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>11 [5,2,6,1,3,4,8,7]=>[5,2,1,3,6,8,4,7]=>[7,4,8,6,3,1,2,5]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [6,7,1,4,3,5,2,8]=>[6,4,1,3,7,5,2,8]=>[8,2,5,7,3,1,4,6]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [7,8,2,4,3,5,1,6]=>[4,2,3,7,5,1,8,6]=>[6,8,1,5,7,3,2,4]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [7,8,2,4,1,5,3,6]=>[2,1,7,4,5,3,8,6]=>[6,8,3,5,4,7,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [6,7,2,4,1,5,3,8]=>[6,2,1,4,7,5,3,8]=>[8,3,5,7,4,1,2,6]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [6,7,2,3,1,5,4,8]=>[2,3,1,6,7,5,4,8]=>[8,4,5,7,6,1,3,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [6,7,3,5,4,8,1,2]=>[3,6,7,5,4,1,8,2]=>[2,8,1,4,5,7,6,3]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [3,6,5,7,4,8,1,2]=>[6,5,7,3,4,1,8,2]=>[2,8,1,4,3,7,5,6]=>[[1,2,6,8],[3,4,7],[5]]=>16 [4,5,1,6,3,7,2,8]=>[1,4,5,6,3,7,2,8]=>[8,2,7,3,6,5,4,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>10 [5,6,3,4,1,7,2,8]=>[5,3,1,6,4,7,2,8]=>[8,2,7,4,6,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [5,6,1,4,3,7,2,8]=>[5,6,1,4,3,7,2,8]=>[8,2,7,3,4,1,6,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [5,6,1,3,2,7,4,8]=>[5,1,3,2,6,7,4,8]=>[8,4,7,6,2,3,1,5]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [5,6,4,7,1,3,2,8]=>[5,1,6,4,7,3,2,8]=>[8,2,3,7,4,6,1,5]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [6,7,5,8,1,3,2,4]=>[1,6,7,5,3,2,8,4]=>[4,8,2,3,5,7,6,1]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [3,4,1,6,5,7,2,8]=>[3,6,1,4,5,7,2,8]=>[8,2,7,5,4,1,6,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [4,5,2,3,1,7,6,8]=>[4,2,5,3,7,1,6,8]=>[8,6,1,7,3,5,2,4]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [4,6,5,7,3,8,1,2]=>[6,4,5,7,3,1,8,2]=>[2,8,1,3,7,5,4,6]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [3,5,4,6,1,7,2,8]=>[5,3,4,1,6,7,2,8]=>[8,2,7,6,1,4,3,5]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [3,5,1,6,4,7,2,8]=>[3,5,6,1,4,7,2,8]=>[8,2,7,4,1,6,5,3]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [3,5,2,6,1,7,4,8]=>[5,3,6,2,7,1,4,8]=>[8,4,1,7,2,6,3,5]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [3,5,2,6,4,7,1,8]=>[5,3,6,2,4,7,1,8]=>[8,1,7,4,2,6,3,5]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [4,6,2,3,1,7,5,8]=>[2,6,4,3,7,1,5,8]=>[8,5,1,7,3,4,6,2]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [2,5,3,6,4,7,1,8]=>[2,5,6,3,4,7,1,8]=>[8,1,7,4,3,6,5,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [2,5,3,6,1,7,4,8]=>[2,5,6,3,7,1,4,8]=>[8,4,1,7,3,6,5,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [3,6,2,7,5,4,8,1]=>[3,6,7,5,2,4,8,1]=>[1,8,4,2,5,7,6,3]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [5,2,6,7,4,3,8,1]=>[5,6,7,2,4,3,8,1]=>[1,8,3,4,2,7,6,5]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [1,5,7,4,3,8,2,6]=>[7,5,4,8,3,1,2,6]=>[6,2,1,3,8,4,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>12 [2,5,7,3,1,8,6,4]=>[2,7,5,8,3,6,1,4]=>[4,1,6,3,8,5,7,2]=>[[1,3,5,7],[2,4,6],[8]]=>12 [1,5,7,2,8,3,6,4]=>[5,1,7,8,2,6,3,4]=>[4,3,6,2,8,7,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [2,5,7,3,1,8,4,6]=>[2,7,5,8,3,1,4,6]=>[6,4,1,3,8,5,7,2]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [5,2,6,7,1,8,4,3]=>[5,6,2,7,8,1,4,3]=>[3,4,1,8,7,2,6,5]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [1,3,7,2,8,5,6,4]=>[7,3,5,8,6,1,2,4]=>[4,2,1,6,8,5,3,7]=>[[1,4,5],[2,6,8],[3,7]]=>10 [2,1,5,6,8,4,3,7]=>[8,5,6,2,4,1,3,7]=>[7,3,1,4,2,6,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>9 [2,3,1,5,8,6,4,7]=>[2,8,3,5,6,1,4,7]=>[7,4,1,6,5,3,8,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [2,3,1,6,8,5,4,7]=>[8,6,2,3,5,1,4,7]=>[7,4,1,5,3,2,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [4,6,2,7,1,8,3,5]=>[6,4,2,7,1,8,3,5]=>[5,3,8,1,7,2,4,6]=>[[1,3,7,8],[2,5],[4,6]]=>13 [1,6,4,5,7,8,3,2]=>[4,6,5,7,8,3,1,2]=>[2,1,3,8,7,5,6,4]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [2,5,1,7,8,6,3,4]=>[7,8,2,5,1,6,3,4]=>[4,3,6,1,5,2,8,7]=>[[1,3,7],[2,5,8],[4,6]]=>12 [2,4,1,7,8,5,6,3]=>[7,8,4,2,5,6,1,3]=>[3,1,6,5,2,4,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>11 [1,3,6,2,8,4,7,5]=>[8,6,1,3,7,2,4,5]=>[5,4,2,7,3,1,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [3,6,5,2,7,8,4,1]=>[6,5,3,7,8,2,4,1]=>[1,4,2,8,7,3,5,6]=>[[1,2,4,7,8],[3,5],[6]]=>15 [6,2,4,7,5,8,3,1]=>[2,6,7,4,5,8,3,1]=>[1,3,8,5,4,7,6,2]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [1,5,7,8,4,2,6,3]=>[7,1,8,5,4,6,2,3]=>[3,2,6,4,5,8,1,7]=>[[1,3,5,6],[2,4,8],[7]]=>14 [3,7,4,1,8,6,2,5]=>[3,4,7,1,8,6,2,5]=>[5,2,6,8,1,7,4,3]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [4,2,5,7,3,1,8,6]=>[7,2,4,5,3,8,1,6]=>[6,1,8,3,5,4,2,7]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [4,5,6,2,8,7,3,1]=>[4,5,8,2,6,7,3,1]=>[1,3,7,6,2,8,5,4]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [4,5,6,1,8,7,3,2]=>[4,8,1,5,6,7,3,2]=>[2,3,7,6,5,1,8,4]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [4,6,3,2,1,7,5,8]=>[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[[1,4,6,7,8],[2,5],[3]]=>11 [4,5,1,7,3,8,6,2]=>[7,1,4,5,8,3,6,2]=>[2,6,3,8,5,4,1,7]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [2,5,7,1,4,3,8,6]=>[2,7,5,4,8,1,3,6]=>[6,3,1,8,4,5,7,2]=>[[1,4,6,7],[2,5],[3,8]]=>10 [4,3,5,7,6,1,8,2]=>[4,7,3,5,1,6,8,2]=>[2,8,6,1,5,3,7,4]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [4,3,6,1,7,5,2,8]=>[4,3,6,7,1,5,2,8]=>[8,2,5,1,7,6,3,4]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [5,3,1,6,2,7,4,8]=>[1,3,5,2,6,7,4,8]=>[8,4,7,6,2,5,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>9 [5,1,6,3,2,7,4,8]=>[5,3,1,2,6,7,4,8]=>[8,4,7,6,2,1,3,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [4,6,1,7,5,3,2,8]=>[6,7,1,4,5,3,2,8]=>[8,2,3,5,4,1,7,6]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [5,1,6,3,7,4,2,8]=>[5,1,6,7,3,4,2,8]=>[8,2,4,3,7,6,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [5,3,6,4,2,1,7,8]=>[3,5,6,4,2,1,7,8]=>[8,7,1,2,4,6,5,3]=>[[1,4,5,6],[2],[3],[7],[8]]=>12 [5,3,2,6,4,1,7,8]=>[3,2,5,6,4,1,7,8]=>[8,7,1,4,6,5,2,3]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [5,2,1,6,3,7,4,8]=>[2,5,1,3,6,7,4,8]=>[8,4,7,6,3,1,5,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>8 [3,6,2,1,7,4,5,8]=>[3,2,6,1,7,4,5,8]=>[8,5,4,7,1,6,2,3]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [3,6,2,7,4,1,5,8]=>[3,6,2,7,4,1,5,8]=>[8,5,1,4,7,2,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [3,5,7,2,8,6,4,1]=>[7,5,8,3,6,2,4,1]=>[1,4,2,6,3,8,5,7]=>[[1,2,4,6,8],[3,5,7]]=>16 [3,6,1,7,5,2,4,8]=>[3,6,1,7,5,2,4,8]=>[8,4,2,5,7,1,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [5,2,6,4,3,1,7,8]=>[5,6,2,4,3,1,7,8]=>[8,7,1,3,4,2,6,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [5,2,1,6,4,3,7,8]=>[2,5,6,1,4,3,7,8]=>[8,7,3,4,1,6,5,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [5,1,6,4,2,7,3,8]=>[5,1,6,2,4,7,3,8]=>[8,3,7,4,2,6,1,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [3,6,1,7,5,4,8,2]=>[6,7,3,5,1,4,8,2]=>[2,8,4,1,5,3,7,6]=>[[1,2,5,7],[3,6,8],[4]]=>13 [3,1,6,2,5,4,7,8]=>[3,6,1,5,2,4,7,8]=>[8,7,4,2,5,1,6,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [7,3,1,6,5,4,8,2]=>[7,6,1,3,5,4,8,2]=>[2,8,4,5,3,1,6,7]=>[[1,2,4,7,8],[3],[5],[6]]=>15 [7,2,8,1,5,4,3,6]=>[7,2,5,4,1,3,8,6]=>[6,8,3,1,4,5,2,7]=>[[1,2,6,8],[3,5],[4,7]]=>15 [4,2,7,6,5,8,1,3]=>[7,6,2,4,5,1,8,3]=>[3,8,1,5,4,2,6,7]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [5,2,7,6,8,4,1,3]=>[7,5,6,8,2,1,4,3]=>[3,4,1,2,8,6,5,7]=>[[1,2,5,8],[3,4,6],[7]]=>17 [7,5,1,6,8,4,3,2]=>[5,7,6,8,1,4,3,2]=>[2,3,4,1,8,6,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>19 [7,2,8,6,5,1,3,4]=>[7,2,1,8,6,3,5,4]=>[4,5,3,6,8,1,2,7]=>[[1,2,4,5],[3,7,8],[6]]=>19 [5,3,2,6,7,4,1,8]=>[3,2,5,6,7,4,1,8]=>[8,1,4,7,6,5,2,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [4,3,7,2,5,6,1,8]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[[1,3,6,7,8],[2],[4],[5]]=>12 [3,4,2,6,7,1,5,8]=>[3,4,6,7,2,1,5,8]=>[8,5,1,2,7,6,4,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [3,5,6,2,4,7,1,8]=>[5,6,3,2,4,7,1,8]=>[8,1,7,4,2,3,6,5]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [3,5,8,7,2,4,6,1]=>[8,7,5,3,2,4,6,1]=>[1,6,4,2,3,5,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>17 [1,7,8,2,5,4,3,6]=>[7,8,1,2,5,4,3,6]=>[6,3,4,5,2,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [8,7,2,5,4,3,6,1]=>[5,4,2,3,8,7,6,1]=>[1,6,7,8,3,2,4,5]=>[[1,2,3,4],[5,7,8],[6]]=>21 [4,7,1,6,3,5,2,8]=>[7,4,1,6,3,5,2,8]=>[8,2,5,3,6,1,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [1,4,5,3,7,8,2,6]=>[4,5,7,8,3,1,2,6]=>[6,2,1,3,8,7,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [1,4,8,2,7,6,3,5]=>[8,4,1,7,6,2,3,5]=>[5,3,2,6,7,1,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [8,7,3,6,1,5,4,2]=>[8,3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3,8]=>[[1,2,3,4,6,8],[5,7]]=>22 [4,7,8,3,5,2,1,6]=>[7,4,3,8,5,2,1,6]=>[6,1,2,5,8,3,4,7]=>[[1,3,4,5,8],[2,7],[6]]=>18 [4,7,6,2,1,8,3,5]=>[2,7,6,4,1,8,3,5]=>[5,3,8,1,4,6,7,2]=>[[1,3,6,7],[2,5],[4,8]]=>15 [1,4,6,7,3,5,8,2]=>[6,7,4,3,5,8,1,2]=>[2,1,8,5,3,4,7,6]=>[[1,3,6,7],[2,4,8],[5]]=>11 [8,3,6,2,1,7,5,4]=>[3,2,6,8,7,1,5,4]=>[4,5,1,7,8,6,2,3]=>[[1,2,4,5],[3,6,8],[7]]=>17 [8,3,7,6,4,2,1,5]=>[3,8,7,4,2,1,6,5]=>[5,6,1,2,4,7,8,3]=>[[1,2,5,6,7],[3,4],[8]]=>21 [2,3,1,8,4,7,6,5]=>[8,2,7,3,6,1,4,5]=>[5,4,1,6,3,7,2,8]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [8,5,4,1,7,3,6,2]=>[5,8,1,4,3,7,6,2]=>[2,6,7,3,4,1,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>19 [6,3,7,2,8,5,4,1]=>[6,3,7,8,2,5,4,1]=>[1,4,5,2,8,7,3,6]=>[[1,2,3,5],[4,6,8],[7]]=>18 [1,6,3,8,2,7,5,4]=>[6,8,1,7,3,5,2,4]=>[4,2,5,3,7,1,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>12 [1,7,5,3,8,2,6,4]=>[5,7,1,3,8,6,2,4]=>[4,2,6,8,3,1,7,5]=>[[1,3,4],[2,5,7],[6,8]]=>13 [6,2,7,4,1,8,5,3]=>[6,2,1,7,8,4,5,3]=>[3,5,4,8,7,1,2,6]=>[[1,2,4],[3,5,8],[6,7]]=>15 [2,7,5,1,3,8,6,4]=>[2,1,5,7,8,6,3,4]=>[4,3,6,8,7,5,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [1,7,6,4,3,8,2,5]=>[7,6,1,4,8,3,2,5]=>[5,2,3,8,4,1,6,7]=>[[1,3,4,7,8],[2,5],[6]]=>14 [3,7,6,2,4,1,8,5]=>[3,2,7,6,4,8,1,5]=>[5,1,8,4,6,7,2,3]=>[[1,3,5,6],[2,4],[7,8]]=>14 [5,3,1,7,8,4,2,6]=>[3,5,1,7,8,4,2,6]=>[6,2,4,8,7,1,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [6,3,1,7,5,2,8,4]=>[3,6,1,7,2,5,8,4]=>[4,8,5,2,7,1,6,3]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [6,2,7,5,3,1,8,4]=>[6,2,7,3,1,5,8,4]=>[4,8,5,1,3,7,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [1,5,8,2,7,4,6,3]=>[8,5,1,7,4,6,2,3]=>[3,2,6,4,7,1,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>13 [5,7,2,8,4,6,3,1]=>[5,7,2,8,4,6,3,1]=>[1,3,6,4,8,2,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>19 [8,4,7,3,1,6,5,2]=>[1,4,8,7,3,6,5,2]=>[2,5,6,3,7,8,4,1]=>[[1,2,3,5,6],[4,7],[8]]=>20 [2,6,8,5,7,4,1,3]=>[8,6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6,8]=>[[1,3,4,5,7,8],[2,6]]=>18 [6,5,2,1,7,4,8,3]=>[2,6,1,5,7,4,8,3]=>[3,8,4,7,5,1,6,2]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [5,7,4,6,2,1,8,3]=>[7,5,4,2,1,6,8,3]=>[3,8,6,1,2,4,5,7]=>[[1,2,6,7,8],[3,5],[4]]=>17 [5,6,4,8,3,7,2,1]=>[5,6,8,4,3,7,2,1]=>[1,2,7,3,4,8,6,5]=>[[1,2,3,5,6],[4,7],[8]]=>20 [6,7,1,8,3,4,2,5]=>[6,1,7,3,4,2,8,5]=>[5,8,2,4,3,7,1,6]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [7,8,3,5,1,4,2,6]=>[3,7,1,5,4,2,8,6]=>[6,8,2,4,5,1,7,3]=>[[1,2,5,7],[3,4],[6,8]]=>18 [5,6,2,7,1,8,3,4]=>[2,5,1,6,7,3,8,4]=>[4,8,3,7,6,1,5,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>14 [2,4,3,8,6,7,1,5]=>[4,8,6,7,2,3,1,5]=>[5,1,3,2,7,6,8,4]=>[[1,3,5,7],[2,6],[4,8]]=>12 [1,8,2,7,4,5,3,6]=>[1,8,2,7,4,5,3,6]=>[6,3,5,4,7,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [2,3,1,8,5,6,4,7]=>[2,3,8,5,6,1,4,7]=>[7,4,1,6,5,8,3,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [5,7,2,3,1,6,4,8]=>[2,5,3,7,1,6,4,8]=>[8,4,6,1,7,3,5,2]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [5,7,2,4,3,6,1,8]=>[7,2,5,4,3,6,1,8]=>[8,1,6,3,4,5,2,7]=>[[1,3,5,6,8],[2],[4],[7]]=>14 [4,6,2,7,1,5,3,8]=>[4,6,2,7,1,5,3,8]=>[8,3,5,1,7,2,6,4]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [4,7,1,6,2,5,3,8]=>[4,7,1,6,2,5,3,8]=>[8,3,5,2,6,1,7,4]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [4,7,1,5,3,6,2,8]=>[4,7,1,5,3,6,2,8]=>[8,2,6,3,5,1,7,4]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [4,6,3,5,1,7,2,8]=>[6,4,3,1,5,7,2,8]=>[8,2,7,5,1,3,4,6]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [1,8,5,6,4,7,2,3]=>[5,6,4,1,8,7,2,3]=>[3,2,7,8,1,4,6,5]=>[[1,3,4],[2,6,7],[5,8]]=>16 [4,6,5,8,1,7,2,3]=>[6,4,5,1,8,2,7,3]=>[3,7,2,8,1,5,4,6]=>[[1,2,4],[3,6,8],[5,7]]=>16 [3,5,1,4,2,8,6,7]=>[3,5,8,1,4,2,6,7]=>[7,6,2,4,1,8,5,3]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [4,6,5,8,3,7,1,2]=>[6,8,4,5,3,1,7,2]=>[2,7,1,3,5,4,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>18 [3,4,2,6,5,8,1,7]=>[3,4,6,8,2,5,1,7]=>[7,1,5,2,8,6,4,3]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [3,5,4,6,2,8,1,7]=>[5,3,4,6,8,2,1,7]=>[7,1,2,8,6,4,3,5]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [1,8,3,5,4,7,2,6]=>[1,8,5,7,3,4,2,6]=>[6,2,4,3,7,5,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [3,4,2,7,1,8,5,6]=>[7,3,4,8,2,1,5,6]=>[6,5,1,2,8,4,3,7]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [4,7,2,3,1,8,5,6]=>[2,4,3,7,1,8,5,6]=>[6,5,8,1,7,3,4,2]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [2,6,3,8,1,7,4,5]=>[6,8,2,3,1,7,4,5]=>[5,4,7,1,3,2,8,6]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [2,7,1,8,3,6,4,5]=>[2,7,1,8,3,6,4,5]=>[5,4,6,3,8,1,7,2]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [1,2,8,7,4,6,3,5]=>[8,7,1,6,4,2,3,5]=>[5,3,2,4,6,1,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>12 [4,5,1,8,7,6,2,3]=>[8,7,1,4,5,2,6,3]=>[3,6,2,5,4,1,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [4,1,5,8,7,6,2,3]=>[8,7,4,5,1,2,6,3]=>[3,6,2,1,5,4,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>14 [2,3,7,8,6,4,5,1]=>[7,2,8,6,3,4,5,1]=>[1,5,4,3,6,8,2,7]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [5,2,6,8,3,7,4,1]=>[5,6,8,2,3,7,4,1]=>[1,4,7,3,2,8,6,5]=>[[1,2,3,6],[4,7],[5,8]]=>16 [6,1,4,8,7,2,5,3]=>[8,6,1,4,7,2,5,3]=>[3,5,2,7,4,1,6,8]=>[[1,2,4,8],[3,5,7],[6]]=>15 [6,8,3,5,7,1,4,2]=>[6,3,1,8,5,7,4,2]=>[2,4,7,5,8,1,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>20 [3,1,7,8,6,4,5,2]=>[7,1,8,6,3,4,5,2]=>[2,5,4,3,6,8,1,7]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [5,2,7,8,3,6,4,1]=>[7,5,8,2,3,6,4,1]=>[1,4,6,3,2,8,5,7]=>[[1,2,3,6],[4,7,8],[5]]=>17 [4,6,7,8,2,5,3,1]=>[6,7,4,8,2,5,3,1]=>[1,3,5,2,8,4,7,6]=>[[1,2,3,5],[4,6,7],[8]]=>19 [7,4,5,2,8,6,3,1]=>[4,2,5,7,8,6,3,1]=>[1,3,6,8,7,5,2,4]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [6,8,4,5,2,7,3,1]=>[4,2,8,6,5,7,3,1]=>[1,3,7,5,6,8,2,4]=>[[1,2,3,5,6],[4,8],[7]]=>21 [6,8,2,5,3,7,4,1]=>[2,6,3,8,5,7,4,1]=>[1,4,7,5,8,3,6,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [6,3,8,4,2,7,5,1]=>[6,3,4,8,2,7,5,1]=>[1,5,7,2,8,4,3,6]=>[[1,2,3,5],[4,6,8],[7]]=>18 [7,2,5,3,8,6,4,1]=>[2,3,7,8,5,6,4,1]=>[1,4,6,5,8,7,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [3,4,7,5,8,6,2,1]=>[3,7,8,4,5,6,2,1]=>[1,2,6,5,4,8,7,3]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [3,6,7,4,8,5,2,1]=>[6,3,7,8,4,5,2,1]=>[1,2,5,4,8,7,3,6]=>[[1,2,3,5],[4,6],[7,8]]=>18 [2,7,5,3,8,6,4,1]=>[2,5,7,8,6,3,4,1]=>[1,4,3,6,8,7,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [5,7,8,3,2,6,4,1]=>[7,5,3,8,2,6,4,1]=>[1,4,6,2,8,3,5,7]=>[[1,2,3,5,8],[4,6,7]]=>20 [3,6,8,4,2,7,5,1]=>[3,8,6,4,7,2,5,1]=>[1,5,2,7,4,6,8,3]=>[[1,2,4,6,7],[3,5],[8]]=>17 [1,5,8,2,7,3,6,4]=>[5,8,1,7,2,6,3,4]=>[4,3,6,2,7,1,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [5,8,4,7,2,3,6,1]=>[5,2,8,7,4,3,6,1]=>[1,6,3,4,7,8,2,5]=>[[1,2,4,5,6],[3,8],[7]]=>20 [5,6,8,1,3,7,4,2]=>[1,5,6,8,3,7,4,2]=>[2,4,7,3,8,6,5,1]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [1,7,4,8,6,2,5,3]=>[7,4,8,1,6,5,2,3]=>[3,2,5,6,1,8,4,7]=>[[1,3,4,6],[2,7,8],[5]]=>15 [6,8,5,3,7,2,4,1]=>[3,8,6,5,2,7,4,1]=>[1,4,7,2,5,6,8,3]=>[[1,2,3,6,7],[4,5],[8]]=>22 [6,8,5,2,3,7,4,1]=>[2,3,8,6,5,7,4,1]=>[1,4,7,5,6,8,3,2]=>[[1,2,3,5,6],[4],[7],[8]]=>20 [7,5,3,8,2,6,4,1]=>[3,5,2,7,8,6,4,1]=>[1,4,6,8,7,2,5,3]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [7,5,2,3,8,6,4,1]=>[2,3,5,7,8,6,4,1]=>[1,4,6,8,7,5,3,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>18 [3,6,4,7,8,5,2,1]=>[3,6,7,8,4,5,2,1]=>[1,2,5,4,8,7,6,3]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [6,4,2,7,8,5,3,1]=>[2,4,6,7,8,5,3,1]=>[1,3,5,8,7,6,4,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>18 [7,4,2,5,8,6,3,1]=>[2,4,5,7,8,6,3,1]=>[1,3,6,8,7,5,4,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>18 [6,1,8,3,4,7,5,2]=>[1,6,8,3,7,4,5,2]=>[2,5,4,7,3,8,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [6,8,4,2,5,7,3,1]=>[2,4,8,6,5,7,3,1]=>[1,3,7,5,6,8,4,2]=>[[1,2,3,5,6],[4],[7],[8]]=>20 [7,5,8,3,4,6,2,1]=>[5,3,7,4,8,6,2,1]=>[1,2,6,8,4,7,3,5]=>[[1,2,3,4],[5,6],[7,8]]=>22 [7,4,5,8,1,6,3,2]=>[4,1,5,7,8,6,3,2]=>[2,3,6,8,7,5,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [6,3,4,7,8,5,2,1]=>[3,4,6,7,8,5,2,1]=>[1,2,5,8,7,6,4,3]=>[[1,2,3,4],[5],[6],[7],[8]]=>18 [5,7,2,3,4,1,8,6]=>[2,3,7,5,4,8,1,6]=>[6,1,8,4,5,7,3,2]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [2,7,1,8,4,5,6,3]=>[2,7,4,5,8,6,1,3]=>[3,1,6,8,5,4,7,2]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [2,6,8,3,4,5,1,7]=>[2,3,8,6,4,5,1,7]=>[7,1,5,4,6,8,3,2]=>[[1,3,5,6],[2],[4],[7],[8]]=>13 [4,7,2,3,1,5,8,6]=>[2,4,3,1,7,8,5,6]=>[6,5,8,7,1,3,4,2]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [2,5,8,3,4,1,6,7]=>[2,8,3,5,4,1,6,7]=>[7,6,1,4,5,3,8,2]=>[[1,4,5,7],[2],[3],[6],[8]]=>11 [4,6,7,3,2,5,8,1]=>[6,7,4,3,2,5,8,1]=>[1,8,5,2,3,4,7,6]=>[[1,2,5,6,7],[3,8],[4]]=>16 [2,6,7,3,8,5,4,1]=>[2,6,7,8,5,3,4,1]=>[1,4,3,5,8,7,6,2]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [1,6,8,4,7,2,3,5]=>[8,6,1,2,7,4,3,5]=>[5,3,4,7,2,1,6,8]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [3,4,5,7,8,6,1,2]=>[7,8,3,4,5,1,6,2]=>[2,6,1,5,4,3,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [3,4,5,7,6,8,1,2]=>[7,3,4,5,6,1,8,2]=>[2,8,1,6,5,4,3,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [3,6,7,4,8,5,1,2]=>[6,3,7,8,4,1,5,2]=>[2,5,1,4,8,7,3,6]=>[[1,2,5],[3,4,6],[7,8]]=>17 [1,4,5,8,7,2,3,6]=>[8,7,4,1,5,2,3,6]=>[6,3,2,5,1,4,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [1,2,5,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>[7,4,3,2,6,8,5,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [1,4,5,8,6,2,3,7]=>[4,8,5,1,6,2,3,7]=>[7,3,2,6,1,5,8,4]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [1,6,7,4,8,2,5,3]=>[6,4,1,7,8,5,2,3]=>[3,2,5,8,7,1,4,6]=>[[1,3,4],[2,5,8],[6,7]]=>14 [1,4,5,6,8,2,7,3]=>[4,5,6,8,1,7,2,3]=>[3,2,7,1,8,6,5,4]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [1,2,5,8,3,4,7,6]=>[1,5,8,7,2,3,4,6]=>[6,4,3,2,7,8,5,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [1,6,7,2,3,5,8,4]=>[1,2,6,7,5,8,3,4]=>[4,3,8,5,7,6,2,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [1,6,7,2,3,5,4,8]=>[1,2,6,7,5,3,4,8]=>[8,4,3,5,7,6,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [1,4,5,7,6,2,3,8]=>[7,4,5,1,6,2,3,8]=>[8,3,2,6,1,5,4,7]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [1,6,8,2,3,5,7,4]=>[6,1,2,8,5,7,3,4]=>[4,3,7,5,8,2,1,6]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [1,6,8,4,5,2,3,7]=>[4,1,8,6,5,2,3,7]=>[7,3,2,5,6,8,1,4]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [1,6,8,2,3,7,4,5]=>[6,1,2,8,3,7,4,5]=>[5,4,7,3,8,2,1,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [1,4,5,7,6,2,8,3]=>[7,4,5,1,6,8,2,3]=>[3,2,8,6,1,5,4,7]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [7,8,1,2,3,4,6,5]=>[1,2,3,4,7,8,6,5]=>[5,6,8,7,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>13 [7,8,1,2,3,6,4,5]=>[7,1,2,3,4,8,6,5]=>[5,6,8,4,3,2,1,7]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [4,2,1,6,5,3,8,7]=>[2,6,1,4,5,8,3,7]=>[7,3,8,5,4,1,6,2]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [8,2,4,3,1,6,5,7]=>[4,2,3,6,1,5,8,7]=>[7,8,5,1,6,3,2,4]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [6,2,4,3,1,8,7,5]=>[4,2,3,8,1,6,7,5]=>[5,7,6,1,8,3,2,4]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [4,6,2,1,5,8,7,3]=>[4,2,6,8,1,5,7,3]=>[3,7,5,1,8,6,2,4]=>[[1,2,5],[3,6,8],[4,7]]=>12 [4,6,5,2,1,8,7,3]=>[6,4,2,8,1,5,7,3]=>[3,7,5,1,8,2,4,6]=>[[1,2,5,8],[3,6,7],[4]]=>14 [2,1,6,4,3,8,7,5]=>[2,6,8,4,7,1,3,5]=>[5,3,1,7,4,8,6,2]=>[[1,4,6],[2,5,7],[3,8]]=>8 [4,8,2,1,6,7,3,5]=>[2,4,6,1,8,7,3,5]=>[5,3,7,8,1,6,4,2]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [6,8,2,1,4,3,7,5]=>[2,6,1,4,8,3,7,5]=>[5,7,3,8,4,1,6,2]=>[[1,2,4],[3,5,7],[6,8]]=>14 [8,6,2,4,3,1,5,7]=>[4,2,3,1,6,5,8,7]=>[7,8,5,6,1,3,2,4]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [6,8,7,2,4,3,1,5]=>[8,2,6,4,3,1,7,5]=>[5,7,1,3,4,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>20 [2,1,8,4,6,5,3,7]=>[8,2,4,6,5,1,3,7]=>[7,3,1,5,6,4,2,8]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [2,1,6,4,8,5,7,3]=>[6,2,8,4,5,7,1,3]=>[3,1,7,5,4,8,2,6]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [4,6,5,2,8,3,7,1]=>[6,4,5,2,8,3,7,1]=>[1,7,3,8,2,5,4,6]=>[[1,2,4,8],[3,6],[5,7]]=>16 [8,4,2,6,3,5,1,7]=>[4,2,6,3,5,1,8,7]=>[7,8,1,5,3,6,2,4]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [6,2,4,8,5,3,7,1]=>[6,2,8,4,5,3,7,1]=>[1,7,3,5,4,8,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [4,2,6,3,5,8,7,1]=>[4,2,6,8,3,5,7,1]=>[1,7,5,3,8,6,2,4]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [8,2,4,3,6,5,1,7]=>[4,6,2,3,5,1,8,7]=>[7,8,1,5,3,2,6,4]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [6,2,1,8,7,4,3,5]=>[8,6,2,4,1,3,7,5]=>[5,7,3,1,4,2,6,8]=>[[1,2,7,8],[3,5],[4,6]]=>14 [8,4,6,5,2,1,3,7]=>[6,4,2,1,5,3,8,7]=>[7,8,3,5,1,2,4,6]=>[[1,2,7,8],[3,4],[5,6]]=>18 [6,4,8,5,2,1,7,3]=>[6,4,2,1,8,5,7,3]=>[3,7,5,8,1,2,4,6]=>[[1,2,4,8],[3,6,7],[5]]=>18 [4,6,8,7,5,2,1,3]=>[8,6,7,4,2,1,5,3]=>[3,5,1,2,4,7,6,8]=>[[1,2,5,6,8],[3,4,7]]=>20 [2,1,4,8,6,7,3,5]=>[6,8,7,2,4,1,3,5]=>[5,3,1,4,2,7,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>10 [2,6,8,7,4,5,1,3]=>[8,6,4,7,5,2,1,3]=>[3,1,2,5,7,4,6,8]=>[[1,3,4,5,8],[2,6,7]]=>18 [4,2,8,6,5,7,1,3]=>[8,2,6,4,5,1,7,3]=>[3,7,1,5,4,6,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [8,2,6,4,5,1,3,7]=>[4,6,5,2,1,3,8,7]=>[7,8,3,1,2,5,6,4]=>[[1,2,6,7],[3,5],[4,8]]=>16 [4,6,8,7,2,1,5,3]=>[8,6,4,2,7,1,5,3]=>[3,5,1,7,2,4,6,8]=>[[1,2,4,7,8],[3,5,6]]=>18 [4,6,5,8,2,1,7,3]=>[6,4,5,2,8,1,7,3]=>[3,7,1,8,2,5,4,6]=>[[1,2,4,8],[3,5,6],[7]]=>16 [2,1,6,8,4,3,7,5]=>[2,8,6,4,7,1,3,5]=>[5,3,1,7,4,6,8,2]=>[[1,4,6,7],[2,5],[3,8]]=>10 [2,8,5,3,1,4,6,7]=>[2,5,3,1,4,8,6,7]=>[7,6,8,4,1,3,5,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [2,7,4,8,3,5,1,6]=>[7,4,2,3,8,5,1,6]=>[6,1,5,8,3,2,4,7]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [8,5,1,4,2,3,6,7]=>[1,5,2,4,3,6,8,7]=>[7,8,6,3,4,2,5,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [6,7,3,8,4,2,5,1]=>[3,6,7,4,2,8,5,1]=>[1,5,8,2,4,7,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [6,7,3,8,4,2,1,5]=>[3,6,7,4,2,1,8,5]=>[5,8,1,2,4,7,6,3]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [7,1,8,4,3,5,2,6]=>[4,3,7,5,1,2,8,6]=>[6,8,2,1,5,7,3,4]=>[[1,2,6],[3,5,8],[4,7]]=>15 [1,7,8,4,3,5,2,6]=>[7,4,1,3,8,5,2,6]=>[6,2,5,8,3,1,4,7]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [7,1,4,8,3,5,2,6]=>[7,4,3,5,1,2,8,6]=>[6,8,2,1,5,3,4,7]=>[[1,2,7,8],[3,5],[4,6]]=>14 [7,1,8,4,3,5,6,2]=>[7,1,4,3,8,5,6,2]=>[2,6,5,8,3,4,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [6,7,3,1,8,4,5,2]=>[1,3,6,7,4,8,5,2]=>[2,5,8,4,7,6,3,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [6,7,3,8,4,5,2,1]=>[3,6,7,4,8,5,2,1]=>[1,2,5,8,4,7,6,3]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [6,7,1,4,8,3,5,2]=>[6,4,7,1,3,8,5,2]=>[2,5,8,3,1,7,4,6]=>[[1,2,3,8],[4,6],[5,7]]=>17 [6,7,4,1,3,8,2,5]=>[6,1,4,3,7,2,8,5]=>[5,8,2,7,3,4,1,6]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [1,6,7,8,4,3,2,5]=>[1,6,7,8,4,3,2,5]=>[5,2,3,4,8,7,6,1]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [7,2,1,8,4,5,3,6]=>[2,7,4,5,1,3,8,6]=>[6,8,3,1,5,4,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [6,2,7,1,8,4,3,5]=>[2,6,7,4,1,3,8,5]=>[5,8,3,1,4,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [6,2,7,8,4,3,1,5]=>[6,7,4,2,3,1,8,5]=>[5,8,1,3,2,4,7,6]=>[[1,2,6,7],[3,4],[5,8]]=>17 [6,2,7,8,4,3,5,1]=>[6,7,4,2,3,8,5,1]=>[1,5,8,3,2,4,7,6]=>[[1,2,3,7],[4,6],[5,8]]=>18 [7,8,1,3,6,2,4,5]=>[7,3,1,2,4,8,6,5]=>[5,6,8,4,2,1,3,7]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [2,6,7,1,8,5,3,4]=>[2,6,7,1,8,5,3,4]=>[4,3,5,8,1,7,6,2]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [6,2,7,8,4,5,3,1]=>[6,7,2,8,4,5,3,1]=>[1,3,5,4,8,2,7,6]=>[[1,2,3,5],[4,7],[6,8]]=>19 [7,2,1,8,4,5,6,3]=>[7,2,1,8,4,5,6,3]=>[3,6,5,4,8,1,2,7]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [1,7,2,8,4,5,6,3]=>[1,7,4,8,5,6,2,3]=>[3,2,6,5,8,4,7,1]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [6,7,1,2,8,5,3,4]=>[6,7,1,2,3,8,5,4]=>[4,5,8,3,2,1,7,6]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [1,6,7,8,4,2,5,3]=>[6,1,7,4,8,5,2,3]=>[3,2,5,8,4,7,1,6]=>[[1,3,4],[2,5,6],[7,8]]=>15 [6,1,2,4,7,3,8,5]=>[4,6,1,2,3,7,8,5]=>[5,8,7,3,2,1,6,4]=>[[1,2],[3,7],[4,8],[5],[6]]=>9 [1,7,5,3,6,4,8,2]=>[3,5,7,6,4,8,1,2]=>[2,1,8,4,6,7,5,3]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [5,1,2,6,7,4,8,3]=>[5,6,7,1,2,4,8,3]=>[3,8,4,2,1,7,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [4,1,5,7,3,2,6,8]=>[7,4,5,1,3,2,6,8]=>[8,6,2,3,1,5,4,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [4,6,1,7,3,2,5,8]=>[1,6,4,7,3,2,5,8]=>[8,5,2,3,7,4,6,1]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [4,6,1,8,3,2,5,7]=>[1,6,8,4,3,2,5,7]=>[7,5,2,3,4,8,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [4,7,1,8,3,5,2,6]=>[1,4,7,3,8,5,2,6]=>[6,2,5,8,3,7,4,1]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [4,1,7,8,6,2,3,5]=>[7,1,8,4,2,6,3,5]=>[5,3,6,2,4,8,1,7]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [1,6,5,7,8,3,4,2]=>[6,5,7,3,8,4,1,2]=>[2,1,4,8,3,7,5,6]=>[[1,3,4,8],[2,5,6],[7]]=>15 [1,6,5,8,7,3,4,2]=>[6,8,5,3,7,4,1,2]=>[2,1,4,7,3,5,8,6]=>[[1,3,4,7],[2,5,6,8]]=>16 [4,1,8,7,6,2,3,5]=>[1,8,7,4,2,6,3,5]=>[5,3,6,2,4,7,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [4,8,1,6,3,2,5,7]=>[1,4,8,3,2,6,5,7]=>[7,5,6,2,3,8,4,1]=>[[1,3,6],[2,5,7],[4],[8]]=>13 [4,7,1,6,3,2,5,8]=>[1,4,7,6,3,2,5,8]=>[8,5,2,3,6,7,4,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [6,1,2,3,7,5,4,8]=>[6,7,1,2,3,5,4,8]=>[8,4,5,3,2,1,7,6]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [6,8,1,5,3,7,2,4]=>[6,1,3,8,5,2,7,4]=>[4,7,2,5,8,3,1,6]=>[[1,2,5],[3,4,8],[6],[7]]=>17 [8,7,5,2,4,1,6,3]=>[5,2,1,4,8,7,6,3]=>[3,6,7,8,4,1,2,5]=>[[1,2,3,4],[5,7,8],[6]]=>21 [1,5,8,3,4,7,6,2]=>[3,5,8,7,4,6,1,2]=>[2,1,6,4,7,8,5,3]=>[[1,3,5,6],[2,4,7],[8]]=>13 [7,8,5,2,4,1,6,3]=>[7,2,1,5,4,8,6,3]=>[3,6,8,4,5,1,2,7]=>[[1,2,3,8],[4,5],[6,7]]=>20 [8,1,2,3,5,6,4,7]=>[5,6,1,2,3,4,8,7]=>[7,8,4,3,2,1,6,5]=>[[1,2],[3,7],[4,8],[5],[6]]=>9 [8,1,2,3,5,4,7,6]=>[5,8,1,2,3,4,7,6]=>[6,7,4,3,2,1,8,5]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [3,8,1,2,4,5,7,6]=>[1,3,8,2,4,7,5,6]=>[6,5,7,4,2,8,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [3,1,2,6,7,5,8,4]=>[6,7,1,3,5,8,2,4]=>[4,2,8,5,3,1,7,6]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [8,7,2,4,3,5,1,6]=>[4,2,3,5,1,8,7,6]=>[6,7,8,1,5,3,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [8,1,7,6,5,3,2,4]=>[8,1,7,6,3,2,5,4]=>[4,5,2,3,6,7,1,8]=>[[1,2,5,6,8],[3,4],[7]]=>20 [1,5,7,3,4,6,8,2]=>[3,7,5,4,6,8,1,2]=>[2,1,8,6,4,5,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [8,7,2,5,3,6,1,4]=>[2,3,8,5,1,7,6,4]=>[4,6,7,1,5,8,3,2]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [7,1,2,3,5,4,8,6]=>[5,1,2,3,4,7,8,6]=>[6,8,7,4,3,2,1,5]=>[[1,2],[3,8],[4],[5],[6],[7]]=>8 [6,1,2,3,5,7,4,8]=>[6,1,2,3,5,7,4,8]=>[8,4,7,5,3,2,1,6]=>[[1,3,8],[2],[4],[5],[6],[7]]=>7 [5,1,2,3,7,6,4,8]=>[7,1,2,3,5,6,4,8]=>[8,4,6,5,3,2,1,7]=>[[1,3,8],[2],[4],[5],[6],[7]]=>7 [5,1,2,3,8,6,4,7]=>[5,8,1,2,3,6,4,7]=>[7,4,6,3,2,1,8,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [1,5,6,3,4,7,8,2]=>[5,3,6,4,7,8,1,2]=>[2,1,8,7,4,6,3,5]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [8,6,5,2,4,7,1,3]=>[6,2,5,4,1,8,7,3]=>[3,7,8,1,4,5,2,6]=>[[1,2,3,8],[4,5,6],[7]]=>21 [8,4,7,3,2,5,1,6]=>[4,3,2,8,5,1,7,6]=>[6,7,1,5,8,2,3,4]=>[[1,2,5,8],[3,4,7],[6]]=>19 [5,4,6,3,1,2,8,7]=>[5,4,1,6,3,8,2,7]=>[7,2,8,3,6,1,4,5]=>[[1,3,5,8],[2,4],[6,7]]=>13 [4,6,2,3,1,5,8,7]=>[2,6,4,3,8,1,5,7]=>[7,5,1,8,3,4,6,2]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [7,2,3,4,5,8,6,1]=>[2,3,4,5,7,8,6,1]=>[1,6,8,7,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8]]=>13 [4,7,3,2,8,6,1,5]=>[4,3,7,8,6,2,1,5]=>[5,1,2,6,8,7,3,4]=>[[1,3,4,5],[2,6,8],[7]]=>16 [3,8,2,6,7,4,5,1]=>[3,8,6,2,7,4,5,1]=>[1,5,4,7,2,6,8,3]=>[[1,2,4,7],[3,6],[5,8]]=>17 [4,8,1,5,6,7,3,2]=>[1,4,8,5,6,7,3,2]=>[2,3,7,6,5,8,4,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>16 [5,8,2,4,6,7,1,3]=>[2,8,5,4,6,1,7,3]=>[3,7,1,6,4,5,8,2]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [3,7,6,1,8,5,2,4]=>[3,7,6,1,8,5,2,4]=>[4,2,5,8,1,6,7,3]=>[[1,3,4,7],[2,6],[5,8]]=>16 [4,7,2,3,8,5,1,6]=>[2,4,7,3,8,5,1,6]=>[6,1,5,8,3,7,4,2]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [6,2,3,7,8,5,4,1]=>[6,7,8,2,3,5,4,1]=>[1,4,5,3,2,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>16 [6,2,3,8,4,5,1,7]=>[2,6,3,4,8,5,1,7]=>[7,1,5,8,4,3,6,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [7,2,3,6,8,4,1,5]=>[7,6,2,3,4,1,8,5]=>[5,8,1,4,3,2,6,7]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [6,4,8,3,5,1,7,2]=>[6,4,3,1,8,5,7,2]=>[2,7,5,8,1,3,4,6]=>[[1,2,4,8],[3,6,7],[5]]=>18 [3,6,1,8,4,5,2,7]=>[3,6,1,8,4,5,2,7]=>[7,2,5,4,8,1,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [4,6,8,3,5,2,7,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[[1,2,4,6,7,8],[3],[5]]=>18 [6,8,2,3,1,4,5,7]=>[2,3,1,4,8,6,5,7]=>[7,5,6,8,4,1,3,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [5,7,3,1,4,2,6,8]=>[1,3,7,5,4,2,6,8]=>[8,6,2,4,5,7,3,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>12 [3,7,4,1,8,2,5,6]=>[3,4,1,7,2,8,5,6]=>[6,5,8,2,7,1,4,3]=>[[1,3],[2,5],[4,7],[6,8]]=>12 [8,3,7,4,2,6,1,5]=>[3,4,8,7,2,1,6,5]=>[5,6,1,2,7,8,4,3]=>[[1,2,5,6],[3,4,7],[8]]=>19 [3,7,4,1,5,6,2,8]=>[3,1,4,7,5,6,2,8]=>[8,2,6,5,7,4,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [8,3,5,2,7,4,1,6]=>[5,8,3,2,4,1,7,6]=>[6,7,1,4,2,3,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>17 [1,5,3,8,7,6,4,2]=>[8,7,3,5,6,4,1,2]=>[2,1,4,6,5,3,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>14 [1,2,8,7,5,6,3,4]=>[5,1,8,7,6,2,3,4]=>[4,3,2,6,7,8,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [3,1,8,6,7,5,2,4]=>[6,8,7,3,1,5,2,4]=>[4,2,5,1,3,7,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>15 [1,6,5,4,8,2,3,7]=>[6,5,1,8,4,2,3,7]=>[7,3,2,4,8,1,5,6]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [6,2,5,1,7,4,3,8]=>[2,6,5,7,1,4,3,8]=>[8,3,4,1,7,5,6,2]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [5,2,6,3,8,1,4,7]=>[5,6,2,3,1,8,4,7]=>[7,4,8,1,3,2,6,5]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [5,2,8,3,4,6,1,7]=>[2,3,8,5,4,6,1,7]=>[7,1,6,4,5,8,3,2]=>[[1,3,5,6],[2],[4],[7],[8]]=>13 [7,3,8,1,4,6,2,5]=>[1,3,7,8,4,2,6,5]=>[5,6,2,4,8,7,3,1]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [1,5,8,4,6,3,7,2]=>[5,4,8,6,3,7,1,2]=>[2,1,7,3,6,8,4,5]=>[[1,3,5,6],[2,4,8],[7]]=>14 [5,3,8,4,1,2,7,6]=>[3,1,8,5,4,7,2,6]=>[6,2,7,4,5,8,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>14 [1,8,3,6,5,2,7,4]=>[8,6,1,5,3,7,2,4]=>[4,2,7,3,5,1,6,8]=>[[1,3,5,7,8],[2,4],[6]]=>13 [3,8,1,4,6,7,5,2]=>[3,6,8,7,1,4,5,2]=>[2,5,4,1,7,8,6,3]=>[[1,2,5,6],[3,7],[4,8]]=>14 [4,3,8,2,5,1,6,7]=>[4,3,2,8,5,1,6,7]=>[7,6,1,5,8,2,3,4]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [8,2,4,3,5,1,7,6]=>[4,2,3,5,8,1,7,6]=>[6,7,1,8,5,3,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [6,3,1,2,8,5,7,4]=>[8,1,3,6,2,5,7,4]=>[4,7,5,2,6,3,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [4,1,8,2,3,7,5,6]=>[4,1,2,8,7,3,5,6]=>[6,5,3,7,8,2,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [5,3,8,7,2,1,4,6]=>[8,5,3,2,1,7,4,6]=>[6,4,7,1,2,3,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>16 [6,4,7,5,8,2,3,1]=>[4,6,7,5,2,8,3,1]=>[1,3,8,2,5,7,6,4]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [5,7,8,4,2,6,3,1]=>[7,2,8,5,4,6,3,1]=>[1,3,6,4,5,8,2,7]=>[[1,2,3,5,6],[4,8],[7]]=>21 [5,4,7,6,2,8,3,1]=>[5,7,4,2,6,8,3,1]=>[1,3,8,6,2,4,7,5]=>[[1,2,3,7],[4,6,8],[5]]=>18 [6,8,4,5,7,1,3,2]=>[4,1,8,6,5,7,3,2]=>[2,3,7,5,6,8,1,4]=>[[1,2,3,5,6],[4,8],[7]]=>21 [5,6,1,4,7,8,3,2]=>[5,6,1,4,7,8,3,2]=>[2,3,8,7,4,1,6,5]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [5,6,7,2,4,8,3,1]=>[5,2,6,7,4,8,3,1]=>[1,3,8,4,7,6,2,5]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [5,3,6,7,4,8,2,1]=>[3,5,6,7,4,8,2,1]=>[1,2,8,4,7,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>17 [5,4,8,2,6,7,3,1]=>[5,8,4,2,6,7,3,1]=>[1,3,7,6,2,4,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>18 [5,4,8,6,2,7,3,1]=>[8,5,4,2,6,7,3,1]=>[1,3,7,6,2,4,5,8]=>[[1,2,3,7,8],[4,6],[5]]=>19 [6,4,8,5,7,2,3,1]=>[6,4,8,5,2,7,3,1]=>[1,3,7,2,5,8,4,6]=>[[1,2,3,6],[4,5,8],[7]]=>21 [7,4,8,5,6,2,1,3]=>[7,4,5,2,1,8,6,3]=>[3,6,8,1,2,5,4,7]=>[[1,2,3,8],[4,5,6],[7]]=>21 [4,6,8,5,7,2,3,1]=>[8,6,4,5,2,7,3,1]=>[1,3,7,2,5,4,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>20 [5,6,8,2,4,7,3,1]=>[5,6,2,8,4,7,3,1]=>[1,3,7,4,8,2,6,5]=>[[1,2,3,5],[4,7],[6,8]]=>19 [5,6,3,8,4,7,2,1]=>[5,6,3,8,4,7,2,1]=>[1,2,7,4,8,3,6,5]=>[[1,2,3,5],[4,7],[6,8]]=>19 [4,6,3,5,8,7,2,1]=>[6,4,8,3,5,7,2,1]=>[1,2,7,5,3,8,4,6]=>[[1,2,3,6,8],[4,7],[5]]=>17 [4,6,3,2,8,7,5,1]=>[6,4,8,3,7,2,5,1]=>[1,5,2,7,3,8,4,6]=>[[1,2,4,6,8],[3,5,7]]=>16 [3,6,5,8,7,2,4,1]=>[6,8,5,7,3,2,4,1]=>[1,4,2,3,7,5,8,6]=>[[1,2,4,5,7],[3,6,8]]=>18 [4,3,7,2,8,6,5,1]=>[7,4,8,3,6,2,5,1]=>[1,5,2,6,3,8,4,7]=>[[1,2,4,6,8],[3,5,7]]=>16 [5,4,7,2,6,8,3,1]=>[5,4,7,2,6,8,3,1]=>[1,3,8,6,2,7,4,5]=>[[1,2,3,6],[4,7,8],[5]]=>17 [5,3,2,7,6,8,4,1]=>[3,7,2,5,6,8,4,1]=>[1,4,8,6,5,2,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [6,7,3,8,5,2,4,1]=>[3,6,7,2,8,5,4,1]=>[1,4,5,8,2,7,6,3]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [6,3,2,7,5,4,8,1]=>[3,6,7,2,5,4,8,1]=>[1,8,4,5,2,7,6,3]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [6,4,7,2,5,3,8,1]=>[4,2,6,7,5,3,8,1]=>[1,8,3,5,7,6,2,4]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [2,7,8,5,3,6,1,4]=>[2,7,5,8,6,3,1,4]=>[4,1,3,6,8,5,7,2]=>[[1,3,4,5],[2,6,7],[8]]=>17 [6,3,7,8,4,2,5,1]=>[6,7,3,4,2,8,5,1]=>[1,5,8,2,4,3,7,6]=>[[1,2,3,7],[4,5],[6,8]]=>19 [5,3,7,8,4,6,2,1]=>[5,7,3,8,4,6,2,1]=>[1,2,6,4,8,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>19 [5,7,8,2,4,6,3,1]=>[7,5,2,8,4,6,3,1]=>[1,3,6,4,8,2,5,7]=>[[1,2,3,5,8],[4,7],[6]]=>20 [2,5,8,4,3,7,6,1]=>[5,4,8,7,2,3,6,1]=>[1,6,3,2,7,8,4,5]=>[[1,2,5,6],[3,7,8],[4]]=>15 [3,7,4,8,6,2,1,5]=>[7,8,3,6,4,2,1,5]=>[5,1,2,4,6,3,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>17 [3,6,4,8,7,2,5,1]=>[8,3,6,7,4,2,5,1]=>[1,5,2,4,7,6,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>17 [4,3,7,5,8,6,2,1]=>[7,4,8,3,5,6,2,1]=>[1,2,6,5,3,8,4,7]=>[[1,2,3,6,8],[4,7],[5]]=>17 [4,5,7,3,8,6,2,1]=>[7,4,5,8,3,6,2,1]=>[1,2,6,3,8,5,4,7]=>[[1,2,3,5,8],[4,6],[7]]=>18 [6,3,1,8,7,5,4,2]=>[8,6,7,1,3,5,4,2]=>[2,4,5,3,1,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>17 [8,5,4,1,7,6,3,2]=>[5,8,1,4,7,6,3,2]=>[2,3,6,7,4,1,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>20 [1,3,7,5,6,2,4,8]=>[5,7,6,3,1,2,4,8]=>[8,4,2,1,3,6,7,5]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [1,6,7,4,3,5,2,8]=>[6,4,3,7,5,1,2,8]=>[8,2,1,5,7,3,4,6]=>[[1,4,5,8],[2,6,7],[3]]=>12 [1,8,5,2,3,7,4,6]=>[8,1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [7,2,8,4,1,5,6,3]=>[2,1,7,4,8,5,6,3]=>[3,6,5,8,4,7,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [7,5,8,1,2,6,3,4]=>[1,2,5,7,3,8,6,4]=>[4,6,8,3,7,5,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [1,6,7,4,3,2,8,5]=>[6,7,1,4,3,8,2,5]=>[5,2,8,3,4,1,7,6]=>[[1,3,5,7],[2,4],[6,8]]=>12 [1,5,4,6,2,3,7,8]=>[5,4,1,6,2,3,7,8]=>[8,7,3,2,6,1,4,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [6,2,5,7,1,4,8,3]=>[6,5,2,7,1,4,8,3]=>[3,8,4,1,7,2,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>14 [6,5,4,3,8,1,7,2]=>[6,5,4,3,8,1,7,2]=>[2,7,1,8,3,4,5,6]=>[[1,2,4,7,8],[3,5,6]]=>18 [7,3,6,8,5,2,4,1]=>[7,6,8,3,2,5,4,1]=>[1,4,5,2,3,8,6,7]=>[[1,2,3,6,8],[4,5,7]]=>21 [2,7,8,3,6,5,1,4]=>[7,8,2,6,5,3,1,4]=>[4,1,3,5,6,2,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>17 [2,7,8,5,4,6,3,1]=>[7,5,4,8,6,2,3,1]=>[1,3,2,6,8,4,5,7]=>[[1,2,4,5,8],[3,6,7]]=>19 [2,6,5,7,3,4,1,8]=>[6,5,2,7,3,4,1,8]=>[8,1,4,3,7,2,5,6]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [6,2,5,7,4,1,3,8]=>[6,5,7,2,1,4,3,8]=>[8,3,4,1,2,7,5,6]=>[[1,3,6,8],[2,5,7],[4]]=>14 [6,2,5,8,4,1,3,7]=>[6,8,5,2,1,4,3,7]=>[7,3,4,1,2,5,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>15 [6,1,2,8,3,7,4,5]=>[6,1,8,2,3,4,7,5]=>[5,7,4,3,2,8,1,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [6,1,2,8,5,4,7,3]=>[8,6,5,1,2,4,7,3]=>[3,7,4,2,1,5,6,8]=>[[1,2,6,7,8],[3],[4],[5]]=>13 [1,5,4,2,6,7,3,8]=>[1,5,4,6,7,2,3,8]=>[8,3,2,7,6,4,5,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [1,6,2,7,5,8,4,3]=>[6,7,5,8,1,4,2,3]=>[3,2,4,1,8,5,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>12 [6,5,2,1,8,7,3,4]=>[2,6,8,1,5,3,7,4]=>[4,7,3,5,1,8,6,2]=>[[1,2,6],[3,4,7],[5,8]]=>15 [2,6,5,3,7,8,4,1]=>[2,6,5,7,8,3,4,1]=>[1,4,3,8,7,5,6,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [6,2,5,3,8,4,7,1]=>[6,5,2,3,8,4,7,1]=>[1,7,4,8,3,2,5,6]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [5,4,1,2,3,8,6,7]=>[5,1,4,2,8,3,6,7]=>[7,6,3,8,2,4,1,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [5,1,4,2,3,7,8,6]=>[1,5,2,4,7,8,3,6]=>[6,3,8,7,4,2,5,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [1,5,4,2,6,3,8,7]=>[1,5,4,6,8,2,3,7]=>[7,3,2,8,6,4,5,1]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [1,8,7,6,2,5,4,3]=>[8,7,1,6,5,4,2,3]=>[3,2,4,5,6,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>18 [2,1,9,8,7,6,5,4,3]=>[9,8,7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7,8,9]=>[[1,3,5,6,7,8,9],[2,4]]=>22 [1,2,9,8,7,6,5,4,3]=>[9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>21 [3,2,1,9,8,7,6,5,4]=>[9,8,7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7,8,9]=>[[1,3,5,7,8,9],[2,4,6]]=>18 [1,2,3,9,8,7,6,5,4]=>[9,8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8,9]=>[[1,5,6,7,8,9],[2],[3],[4]]=>15 [4,3,2,1,9,8,7,6,5]=>[9,4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4,9]=>[[1,3,5,7,9],[2,4,6,8]]=>16 [2,1,4,3,9,8,7,6,5]=>[9,8,7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7,8,9]=>[[1,4,7,8,9],[2,5],[3,6]]=>12 [1,2,3,4,9,8,7,6,5]=>[9,8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>10 [1,2,3,4,5,9,8,7,6]=>[9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>6 [2,1,4,3,6,5,9,8,7]=>[9,2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2,9]=>[[1,5,9],[2,6],[3,7],[4,8]]=>6 [1,2,3,5,4,7,6,9,8]=>[5,7,9,1,2,3,4,6,8]=>[8,6,4,3,2,1,9,7,5]=>[[1,7],[2,8],[3,9],[4],[5],[6]]=>3 [1,2,3,4,5,7,6,9,8]=>[7,9,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,9,7]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>2 [1,2,10,9,8,7,6,5,4,3]=>[10,9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9,10]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>28 [3,2,1,10,9,8,7,6,5,4]=>[10,9,8,7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7,8,9,10]=>[[1,3,5,7,8,9,10],[2,4,6]]=>24 [1,2,3,10,9,8,7,6,5,4]=>[10,9,8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8,9,10]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>21 [1,2,3,4,10,9,8,7,6,5]=>[10,9,8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8,9,10]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>15 [3,2,1,6,5,4,10,9,8,7]=>[10,3,6,9,2,5,8,1,4,7]=>[7,4,1,8,5,2,9,6,3,10]=>[[1,4,7,10],[2,5,8],[3,6,9]]=>12 [1,2,3,4,5,6,10,9,8,7]=>[10,9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9,10]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>6 [1,2,3,4,5,6,7,10,9,8]=>[10,9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>3 [1,2,3,4,6,5,8,7,10,9]=>[6,8,10,1,2,3,4,5,7,9]=>[9,7,5,4,3,2,1,10,8,6]=>[[1,8],[2,9],[3,10],[4],[5],[6],[7]]=>3 [1,2,3,4,5,6,8,7,10,9]=>[8,10,1,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,1,10,8]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>2 [4,7,3,1,5,6,2,8]=>[1,4,3,7,5,6,2,8]=>[8,2,6,5,7,3,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [1,7,8,4,5,6,2,3]=>[4,7,5,1,8,6,2,3]=>[3,2,6,8,1,5,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>16 [1,5,8,4,2,6,7,3]=>[1,5,4,8,6,7,2,3]=>[3,2,7,6,8,4,5,1]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [1,6,3,8,5,2,7,4]=>[8,6,5,1,3,7,2,4]=>[4,2,7,3,1,5,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>12 [5,2,3,7,1,6,4,8]=>[2,3,5,7,1,6,4,8]=>[8,4,6,1,7,5,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [6,2,3,7,5,1,4,8]=>[6,7,2,3,1,5,4,8]=>[8,4,5,1,3,2,7,6]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [1,7,3,4,8,6,2,5]=>[7,8,1,6,3,4,2,5]=>[5,2,4,3,6,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [8,7,3,2,1,6,5,4]=>[3,8,2,7,1,6,5,4]=>[4,5,6,1,7,2,8,3]=>[[1,2,3,5,7],[4,6,8]]=>19 [8,7,6,3,1,5,2,4]=>[3,1,8,2,7,6,5,4]=>[4,5,6,7,2,8,1,3]=>[[1,2,3,4,6],[5,8],[7]]=>22 [8,5,1,7,2,3,4,6]=>[1,2,5,3,8,4,7,6]=>[6,7,4,8,3,5,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [9,8,7,6,5,2,1,4,3]=>[2,9,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,9,2]=>[[1,2,3,4,5,6,8],[7,9]]=>32 [9,8,7,3,2,1,6,5,4]=>[3,9,2,8,1,7,6,5,4]=>[4,5,6,7,1,8,2,9,3]=>[[1,2,3,4,6,8],[5,7,9]]=>27 [10,9,8,7,6,5,2,1,4,3]=>[2,10,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,10,2]=>[[1,2,3,4,5,6,7,9],[8,10]]=>41 [2,4,8,5,3,7,1,6]=>[4,5,8,7,2,3,1,6]=>[6,1,3,2,7,8,5,4]=>[[1,3,5,6],[2,7],[4,8]]=>13 [2,4,1,8,5,3,7,6]=>[4,2,8,5,7,1,3,6]=>[6,3,1,7,5,8,2,4]=>[[1,4,6],[2,5,8],[3,7]]=>9 [8,1,4,5,3,2,7,6]=>[4,5,3,8,1,2,7,6]=>[6,7,2,1,8,3,5,4]=>[[1,2,5],[3,6,7],[4,8]]=>13 [3,4,1,5,2,8,7,6]=>[3,8,1,4,5,7,2,6]=>[6,2,7,5,4,1,8,3]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [3,4,6,2,1,8,7,5]=>[6,3,4,8,2,7,1,5]=>[5,1,7,2,8,4,3,6]=>[[1,3,5,8],[2,4,6],[7]]=>11 [3,5,6,2,1,7,8,4]=>[5,6,3,2,7,8,1,4]=>[4,1,8,7,2,3,6,5]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [8,1,4,6,3,7,2,5]=>[4,3,8,6,1,2,7,5]=>[5,7,2,1,6,8,3,4]=>[[1,2,6],[3,5,8],[4,7]]=>15 [8,1,4,6,3,7,5,2]=>[8,1,6,4,7,3,5,2]=>[2,5,3,7,4,6,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>16 [3,5,6,2,1,7,4,8]=>[5,6,3,2,7,1,4,8]=>[8,4,1,7,2,3,6,5]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [8,1,5,6,7,3,2,4]=>[5,8,6,1,3,2,7,4]=>[4,7,2,3,1,6,8,5]=>[[1,2,6,7],[3,4],[5,8]]=>17 [3,4,1,6,8,7,2,5]=>[8,3,4,6,1,7,2,5]=>[5,2,7,1,6,4,3,8]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [3,5,6,1,8,7,2,4]=>[5,6,8,3,1,7,2,4]=>[4,2,7,1,3,8,6,5]=>[[1,3,6],[2,5,7],[4,8]]=>13 [2,3,8,6,7,1,5,4]=>[6,2,8,7,3,5,1,4]=>[4,1,5,3,7,8,2,6]=>[[1,3,5,6],[2,4,8],[7]]=>14 [2,4,1,8,6,7,5,3]=>[4,8,6,7,2,5,1,3]=>[3,1,5,2,7,6,8,4]=>[[1,3,5,7],[2,4,6],[8]]=>12 [2,5,8,6,1,7,4,3]=>[5,2,8,6,7,4,1,3]=>[3,1,4,7,6,8,2,5]=>[[1,3,4,6],[2,5,8],[7]]=>15 [3,5,6,1,8,7,4,2]=>[5,8,3,6,7,1,4,2]=>[2,4,1,7,6,3,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>14 [3,4,6,8,7,1,5,2]=>[8,6,3,4,7,1,5,2]=>[2,5,1,7,4,3,6,8]=>[[1,2,4,8],[3,5,7],[6]]=>15 [8,1,4,6,2,7,5,3]=>[1,4,8,6,7,2,5,3]=>[3,5,2,7,6,8,4,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [3,5,1,6,7,8,4,2]=>[3,5,6,7,8,1,4,2]=>[2,4,1,8,7,6,5,3]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [4,5,6,1,7,8,3,2]=>[4,1,5,6,7,8,3,2]=>[2,3,8,7,6,5,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [8,1,5,6,7,4,2,3]=>[5,6,1,8,7,2,4,3]=>[3,4,2,7,8,1,6,5]=>[[1,2,4,5],[3,7],[6,8]]=>18 [8,1,5,6,7,4,3,2]=>[5,6,8,7,4,1,3,2]=>[2,3,1,4,7,8,6,5]=>[[1,2,4,5,6],[3,7],[8]]=>19 [3,5,1,6,7,4,2,8]=>[3,5,6,7,1,4,2,8]=>[8,2,4,1,7,6,5,3]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [6,5,8,7,4,3,1,2]=>[6,8,5,1,7,4,3,2]=>[2,3,4,7,1,5,8,6]=>[[1,2,3,4,7],[5,6,8]]=>23 [6,4,2,7,8,5,1,3]=>[2,4,6,7,1,8,5,3]=>[3,5,8,1,7,6,4,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [6,1,4,8,7,5,2,3]=>[8,6,7,1,4,2,5,3]=>[3,5,2,4,1,7,6,8]=>[[1,2,6,8],[3,4,7],[5]]=>16 [1,6,4,8,7,5,2,3]=>[8,4,6,1,7,5,2,3]=>[3,2,5,7,1,6,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>15 [7,6,1,3,4,8,2,5]=>[1,3,7,4,6,2,8,5]=>[5,8,2,6,4,7,3,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [1,8,6,3,4,7,2,5]=>[1,3,8,6,7,4,2,5]=>[5,2,4,7,6,8,3,1]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [1,7,2,5,4,8,3,6]=>[7,5,8,1,2,4,3,6]=>[6,3,4,2,1,8,5,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [7,1,2,5,4,8,3,6]=>[5,4,7,1,2,3,8,6]=>[6,8,3,2,1,7,4,5]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [2,7,1,5,4,8,3,6]=>[7,2,5,8,1,4,3,6]=>[6,3,4,1,8,5,2,7]=>[[1,3,5,8],[2,6],[4,7]]=>11 [3,2,7,5,4,8,1,6]=>[3,7,5,8,2,4,1,6]=>[6,1,4,2,8,5,7,3]=>[[1,3,5,7],[2,6],[4,8]]=>12 [2,5,8,4,7,3,1,6]=>[5,8,7,4,2,3,1,6]=>[6,1,3,2,4,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>15 [2,3,7,5,4,8,1,6]=>[7,2,5,8,3,4,1,6]=>[6,1,4,3,8,5,2,7]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [6,8,3,2,4,7,1,5]=>[3,2,6,8,4,1,7,5]=>[5,7,1,4,8,6,2,3]=>[[1,2,5],[3,4,6],[7,8]]=>17 [3,7,2,5,4,8,1,6]=>[3,7,2,5,8,4,1,6]=>[6,1,4,8,5,2,7,3]=>[[1,3,4,7],[2,5],[6,8]]=>13 [3,1,7,5,4,8,2,6]=>[7,3,5,8,1,4,2,6]=>[6,2,4,1,8,5,3,7]=>[[1,3,5,8],[2,6],[4,7]]=>11 [1,3,7,5,4,8,2,6]=>[7,3,5,8,4,1,2,6]=>[6,2,1,4,8,5,3,7]=>[[1,4,5,8],[2,6],[3,7]]=>10 [1,5,8,4,7,3,2,6]=>[5,8,7,4,3,1,2,6]=>[6,2,1,3,4,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>14 [8,7,5,6,2,1,4,3]=>[2,1,5,8,7,6,4,3]=>[3,4,6,7,8,5,1,2]=>[[1,2,3,4,5],[6,8],[7]]=>23 [8,1,5,4,7,3,2,6]=>[5,8,4,3,1,2,7,6]=>[6,7,2,1,3,4,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>16 [1,8,5,4,7,3,2,6]=>[5,8,7,4,1,3,2,6]=>[6,2,3,1,4,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>15 [1,7,3,5,4,8,2,6]=>[7,1,5,8,3,4,2,6]=>[6,2,4,3,8,5,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [8,6,4,1,7,2,5,3]=>[4,1,2,6,8,7,5,3]=>[3,5,7,8,6,2,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [5,3,7,4,6,8,2,1]=>[5,3,7,4,6,8,2,1]=>[1,2,8,6,4,7,3,5]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [4,1,3,2,7,8,5,6]=>[4,7,8,1,3,2,5,6]=>[6,5,2,3,1,8,7,4]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [1,4,3,2,7,8,5,6]=>[4,7,8,3,1,2,5,6]=>[6,5,2,1,3,8,7,4]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [2,4,3,1,7,8,5,6]=>[4,7,8,2,3,1,5,6]=>[6,5,1,3,2,8,7,4]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [2,7,3,5,4,8,1,6]=>[7,2,3,5,8,4,1,6]=>[6,1,4,8,5,3,2,7]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [2,8,5,4,7,3,1,6]=>[5,8,7,2,4,3,1,6]=>[6,1,3,4,2,7,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>16 [5,7,3,4,6,8,2,1]=>[3,7,5,4,6,8,2,1]=>[1,2,8,6,4,5,7,3]=>[[1,2,3,6,7],[4],[5],[8]]=>18 [8,2,5,4,7,3,1,6]=>[5,8,4,2,3,1,7,6]=>[6,7,1,3,2,4,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>17 [7,2,3,5,4,8,1,6]=>[5,2,3,4,7,1,8,6]=>[6,8,1,7,4,3,2,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [8,1,7,6,4,3,5,2]=>[8,1,7,6,4,3,5,2]=>[2,5,3,4,6,7,1,8]=>[[1,2,4,5,6,8],[3],[7]]=>20 [8,6,4,5,2,7,1,3]=>[4,2,6,5,1,8,7,3]=>[3,7,8,1,5,6,2,4]=>[[1,2,3],[4,5,6],[7,8]]=>21 [7,1,8,6,4,3,5,2]=>[1,7,8,6,4,3,5,2]=>[2,5,3,4,6,8,7,1]=>[[1,2,4,5,6],[3,7],[8]]=>19 [7,3,6,5,2,1,4,8]=>[7,6,3,2,1,5,4,8]=>[8,4,5,1,2,3,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>16 [7,3,6,5,2,1,8,4]=>[7,6,3,2,1,5,8,4]=>[4,8,5,1,2,3,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>17 [5,4,2,8,1,3,7,6]=>[5,4,2,8,1,7,3,6]=>[6,3,7,1,8,2,4,5]=>[[1,3,5,8],[2,6,7],[4]]=>13 [5,8,2,6,4,1,3,7]=>[2,8,5,1,6,4,3,7]=>[7,3,4,6,1,5,8,2]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [6,3,5,2,1,4,7,8]=>[6,3,2,1,5,4,7,8]=>[8,7,4,5,1,2,3,6]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [2,5,8,6,3,1,4,7]=>[5,2,8,6,3,1,4,7]=>[7,4,1,3,6,8,2,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [2,5,7,6,3,1,4,8]=>[7,5,2,6,3,1,4,8]=>[8,4,1,3,6,2,5,7]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [2,8,7,6,3,1,5,4]=>[2,3,8,7,6,5,1,4]=>[4,1,5,6,7,8,3,2]=>[[1,3,4,5,6],[2,7],[8]]=>18 [2,4,8,1,6,5,7,3]=>[4,8,2,6,5,7,1,3]=>[3,1,7,5,6,2,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>12 [8,4,2,5,1,3,7,6]=>[2,4,1,5,8,3,7,6]=>[6,7,3,8,5,1,4,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [2,3,6,8,1,4,7,5]=>[2,8,6,3,7,1,4,5]=>[5,4,1,7,3,6,8,2]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [2,7,8,6,3,1,4,5]=>[2,7,3,1,8,6,4,5]=>[5,4,6,8,1,3,7,2]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [7,3,8,5,2,1,4,6]=>[7,5,3,2,1,4,8,6]=>[6,8,4,1,2,3,5,7]=>[[1,2,6,7,8],[3,5],[4]]=>17 [2,3,6,1,8,4,7,5]=>[6,2,8,3,7,1,4,5]=>[5,4,1,7,3,8,2,6]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [8,3,5,2,1,4,6,7]=>[5,3,2,1,4,6,8,7]=>[7,8,6,4,1,2,3,5]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [2,4,8,1,3,7,5,6]=>[2,8,4,1,7,3,5,6]=>[6,5,3,7,1,4,8,2]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [2,5,8,1,7,3,6,4]=>[8,5,2,7,1,6,3,4]=>[4,3,6,1,7,2,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>13 [2,8,1,5,7,3,6,4]=>[2,5,8,7,1,6,3,4]=>[4,3,6,1,7,8,5,2]=>[[1,3,5,6],[2,7],[4,8]]=>13 [3,8,6,1,4,7,5,2]=>[3,1,8,6,7,4,5,2]=>[2,5,4,7,6,8,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>16 [2,6,8,1,5,7,3,4]=>[6,2,8,5,1,7,3,4]=>[4,3,7,1,5,8,2,6]=>[[1,3,6],[2,5,8],[4,7]]=>14 [2,7,1,5,8,3,4,6]=>[7,8,2,1,3,5,4,6]=>[6,4,5,3,1,2,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>11 [3,7,5,8,1,2,6,4]=>[5,1,7,3,8,6,2,4]=>[4,2,6,8,3,7,1,5]=>[[1,3,4],[2,5,6],[7,8]]=>15 [7,4,8,1,6,5,2,3]=>[4,7,1,8,2,6,5,3]=>[3,5,6,2,8,1,7,4]=>[[1,2,3,5],[4,7],[6,8]]=>19 [7,4,6,1,8,2,5,3]=>[4,1,7,2,6,8,5,3]=>[3,5,8,6,2,7,1,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [7,4,5,8,6,1,2,3]=>[4,5,1,7,2,8,6,3]=>[3,6,8,2,7,1,5,4]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [5,1,7,6,2,8,3,4]=>[5,7,1,6,2,3,8,4]=>[4,8,3,2,6,1,7,5]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [8,5,1,7,6,2,3,4]=>[1,8,5,2,3,7,6,4]=>[4,6,7,3,2,5,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [4,6,1,8,7,5,2,3]=>[8,4,6,1,7,2,5,3]=>[3,5,2,7,1,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>16 [8,4,6,1,7,5,2,3]=>[4,8,1,6,2,7,5,3]=>[3,5,7,2,6,1,8,4]=>[[1,2,3,7],[4,5],[6,8]]=>19 [4,8,5,1,7,2,3,6]=>[4,1,5,2,8,7,3,6]=>[6,3,7,8,2,5,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [4,5,1,8,7,2,3,6]=>[8,4,1,5,2,7,3,6]=>[6,3,7,2,5,1,4,8]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [3,4,8,7,1,2,5,6]=>[3,1,8,7,4,2,5,6]=>[6,5,2,4,7,8,1,3]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [5,8,4,1,7,2,3,6]=>[1,5,4,2,8,7,3,6]=>[6,3,7,8,2,4,5,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [8,6,4,7,1,2,5,3]=>[1,4,2,6,8,7,5,3]=>[3,5,7,8,6,2,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [5,6,8,3,7,1,4,2]=>[5,6,3,8,1,7,4,2]=>[2,4,7,1,8,3,6,5]=>[[1,2,3,5],[4,6,7],[8]]=>19 [6,5,1,2,7,3,8,4]=>[6,1,2,5,3,7,8,4]=>[4,8,7,3,5,2,1,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [6,5,1,8,2,7,3,4]=>[6,5,1,2,8,3,7,4]=>[4,7,3,8,2,1,5,6]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [8,6,5,1,2,7,3,4]=>[6,1,2,5,3,8,7,4]=>[4,7,8,3,5,2,1,6]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [6,5,1,8,7,2,3,4]=>[6,1,8,2,5,3,7,4]=>[4,7,3,5,2,8,1,6]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [6,5,1,7,2,3,8,4]=>[1,6,2,5,3,7,8,4]=>[4,8,7,3,5,2,6,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [5,7,4,1,8,2,3,6]=>[1,7,5,4,2,8,3,6]=>[6,3,8,2,4,5,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [4,1,7,5,3,6,2,8]=>[4,7,5,1,3,6,2,8]=>[8,2,6,3,1,5,7,4]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [4,1,7,2,3,6,8,5]=>[1,4,7,2,6,8,3,5]=>[5,3,8,6,2,7,4,1]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [4,6,2,1,5,7,8,3]=>[4,2,6,1,5,7,8,3]=>[3,8,7,5,1,6,2,4]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [3,2,6,7,4,1,8,5]=>[6,7,3,2,4,8,1,5]=>[5,1,8,4,2,3,7,6]=>[[1,3,6,7],[2,4],[5,8]]=>11 [5,6,2,7,1,4,8,3]=>[2,5,1,6,7,4,8,3]=>[3,8,4,7,6,1,5,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [4,6,2,7,5,1,3,8]=>[4,6,7,2,1,5,3,8]=>[8,3,5,1,2,7,6,4]=>[[1,3,6],[2,5,7],[4],[8]]=>13 [2,6,3,1,8,4,5,7]=>[6,2,3,1,8,4,5,7]=>[7,5,4,8,1,3,2,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [5,3,2,7,4,8,1,6]=>[3,5,2,7,8,4,1,6]=>[6,1,4,8,7,2,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [5,1,2,7,6,8,4,3]=>[7,5,6,8,1,2,4,3]=>[3,4,2,1,8,6,5,7]=>[[1,2,5,8],[3,6],[4,7]]=>12 [3,5,6,4,7,8,1,2]=>[5,6,3,4,7,1,8,2]=>[2,8,1,7,4,3,6,5]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [5,3,6,4,2,8,7,1]=>[3,5,6,4,8,2,7,1]=>[1,7,2,8,4,6,5,3]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [4,1,8,2,5,7,3,6]=>[8,1,4,7,2,5,3,6]=>[6,3,5,2,7,4,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [2,6,4,1,5,3,8,7]=>[4,2,6,5,8,1,3,7]=>[7,3,1,8,5,6,2,4]=>[[1,4,6],[2,5,8],[3,7]]=>9 [3,2,7,6,4,1,8,5]=>[7,6,3,2,4,8,1,5]=>[5,1,8,4,2,3,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>12 [2,5,4,1,7,6,8,3]=>[5,4,7,2,6,8,1,3]=>[3,1,8,6,2,7,4,5]=>[[1,3,6,8],[2,4,7],[5]]=>10 [6,2,1,4,7,8,3,5]=>[2,4,6,7,1,3,8,5]=>[5,8,3,1,7,6,4,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>11 [2,6,5,1,7,8,3,4]=>[2,6,5,7,1,8,3,4]=>[4,3,8,1,7,5,6,2]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [4,2,3,7,8,1,6,5]=>[4,7,2,8,3,6,1,5]=>[5,1,6,3,8,2,7,4]=>[[1,3,5],[2,4,7],[6,8]]=>12 [6,8,4,2,1,5,3,7]=>[2,1,4,8,6,5,3,7]=>[7,3,5,6,8,4,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [6,8,5,2,1,7,3,4]=>[2,8,1,6,5,3,7,4]=>[4,7,3,5,6,1,8,2]=>[[1,2,5,7],[3,4],[6,8]]=>18 [6,8,3,2,5,1,7,4]=>[3,6,2,1,8,5,7,4]=>[4,7,5,8,1,2,6,3]=>[[1,2,4],[3,6,7],[5,8]]=>17 [6,8,4,2,1,5,7,3]=>[2,1,4,8,6,5,7,3]=>[3,7,5,6,8,4,1,2]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [6,8,3,2,1,4,5,7]=>[3,2,1,4,8,6,5,7]=>[7,5,6,8,4,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [5,1,7,3,2,4,6,8]=>[5,1,3,2,7,4,6,8]=>[8,6,4,7,2,3,1,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [4,3,8,1,6,2,7,5]=>[4,3,1,8,6,7,2,5]=>[5,2,7,6,8,1,3,4]=>[[1,3,5],[2,4,8],[6,7]]=>13 [5,4,7,2,1,6,8,3]=>[5,4,2,7,1,6,8,3]=>[3,8,6,1,7,2,4,5]=>[[1,2,5,8],[3,6,7],[4]]=>14 [6,4,3,1,7,5,8,2]=>[1,4,3,6,7,5,8,2]=>[2,8,5,7,6,3,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [3,2,1,7,6,4,8,5]=>[7,3,6,2,8,1,4,5]=>[5,4,1,8,2,6,3,7]=>[[1,4,6,8],[2,5],[3,7]]=>9 [4,2,1,6,5,8,3,7]=>[2,6,8,1,4,5,3,7]=>[7,3,5,4,1,8,6,2]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [4,2,1,8,5,7,3,6]=>[8,2,4,7,1,5,3,6]=>[6,3,5,1,7,4,2,8]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [7,4,2,1,8,5,6,3]=>[2,7,1,4,5,8,6,3]=>[3,6,8,5,4,1,7,2]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [7,5,2,1,8,6,3,4]=>[2,5,7,1,3,8,6,4]=>[4,6,8,3,1,7,5,2]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [6,1,8,4,2,7,3,5]=>[6,4,1,8,2,3,7,5]=>[5,7,3,2,8,1,4,6]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [5,2,1,7,3,6,4,8]=>[2,5,7,1,3,6,4,8]=>[8,4,6,3,1,7,5,2]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [6,3,2,8,7,1,4,5]=>[8,3,6,2,1,4,7,5]=>[5,7,4,1,2,6,3,8]=>[[1,2,6,8],[3,5],[4,7]]=>15 [2,1,5,8,4,7,3,6]=>[5,8,7,2,4,1,3,6]=>[6,3,1,4,2,7,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>10 [4,3,2,5,8,1,6,7]=>[4,8,3,2,5,1,6,7]=>[7,6,1,5,2,3,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [4,3,1,6,2,7,5,8]=>[4,3,1,6,7,2,5,8]=>[8,5,2,7,6,1,3,4]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [5,4,1,7,2,8,6,3]=>[5,1,4,7,8,2,6,3]=>[3,6,2,8,7,4,1,5]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [6,5,3,1,7,8,4,2]=>[1,3,6,5,7,8,4,2]=>[2,4,8,7,5,6,3,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>16 [6,4,2,1,7,8,3,5]=>[2,1,4,6,7,3,8,5]=>[5,8,3,7,6,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>13 [5,4,2,1,6,7,3,8]=>[2,1,5,4,6,7,3,8]=>[8,3,7,6,4,5,1,2]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [5,3,2,1,6,7,4,8]=>[3,2,1,5,6,7,4,8]=>[8,4,7,6,5,1,2,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [6,4,2,1,7,8,5,3]=>[2,1,4,6,7,8,5,3]=>[3,5,8,7,6,4,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [5,3,2,6,8,1,7,4]=>[3,2,5,6,8,1,7,4]=>[4,7,1,8,6,5,2,3]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [3,2,1,4,6,8,5,7]=>[3,8,2,6,1,4,5,7]=>[7,5,4,1,6,2,8,3]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [4,3,2,6,1,7,8,5]=>[4,3,6,2,7,8,1,5]=>[5,1,8,7,2,6,3,4]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [5,3,2,1,6,7,8,4]=>[3,2,1,5,6,7,8,4]=>[4,8,7,6,5,1,2,3]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [3,8,6,4,5,7,1,2]=>[3,8,4,6,5,1,7,2]=>[2,7,1,5,6,4,8,3]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [5,2,8,3,7,4,6,1]=>[5,2,8,3,7,4,6,1]=>[1,6,4,7,3,8,2,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [5,2,8,4,3,6,7,1]=>[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[[1,2,5,6,8],[3],[4],[7]]=>15 [5,4,2,7,3,6,1,8]=>[5,4,2,7,3,6,1,8]=>[8,1,6,3,7,2,4,5]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [5,4,2,8,3,6,1,7]=>[5,2,8,4,3,6,1,7]=>[7,1,6,3,4,8,2,5]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [6,5,3,8,4,7,2,1]=>[6,5,3,8,4,7,2,1]=>[1,2,7,4,8,3,5,6]=>[[1,2,3,5,8],[4,7],[6]]=>20 [5,2,8,4,3,7,1,6]=>[5,2,8,4,7,3,1,6]=>[6,1,3,7,4,8,2,5]=>[[1,3,4,6],[2,5,8],[7]]=>15 [5,4,2,7,3,1,8,6]=>[5,4,2,7,3,8,1,6]=>[6,1,8,3,7,2,4,5]=>[[1,3,5,8],[2,4],[6,7]]=>13 [6,4,3,7,1,2,8,5]=>[4,3,1,6,2,7,8,5]=>[5,8,7,2,6,1,3,4]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [6,4,3,8,1,2,7,5]=>[4,3,1,6,8,2,7,5]=>[5,7,2,8,6,1,3,4]=>[[1,2,4],[3,5,8],[6,7]]=>15 [7,6,3,8,4,2,1,5]=>[7,3,6,4,2,1,8,5]=>[5,8,1,2,4,6,3,7]=>[[1,2,5,6,8],[3,4],[7]]=>20 [7,2,8,5,1,6,3,4]=>[2,1,7,8,5,3,6,4]=>[4,6,3,5,8,7,1,2]=>[[1,2,5],[3,4,6],[7,8]]=>17 [7,2,8,4,3,1,5,6]=>[7,2,4,3,1,5,8,6]=>[6,8,5,1,3,4,2,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [5,3,1,7,8,4,6,2]=>[5,7,1,3,8,4,6,2]=>[2,6,4,8,3,1,7,5]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [5,3,2,7,8,4,6,1]=>[3,5,7,2,8,4,6,1]=>[1,6,4,8,2,7,5,3]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [5,4,1,6,3,8,7,2]=>[5,1,4,6,8,3,7,2]=>[2,7,3,8,6,4,1,5]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [6,5,1,7,8,2,3,4]=>[6,5,1,2,7,3,8,4]=>[4,8,3,7,2,1,5,6]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [6,3,1,7,8,4,2,5]=>[6,7,1,3,4,2,8,5]=>[5,8,2,4,3,1,7,6]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [5,4,1,7,3,8,2,6]=>[1,5,4,7,8,3,2,6]=>[6,2,3,8,7,4,5,1]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [6,1,5,4,3,2,8,7]=>[6,5,4,1,3,8,2,7]=>[7,2,8,3,1,4,5,6]=>[[1,3,6,7,8],[2,4],[5]]=>12 [8,7,6,1,3,5,2,4]=>[8,3,1,2,7,6,5,4]=>[4,5,6,7,2,1,3,8]=>[[1,2,3,4,8],[5,7],[6]]=>21 [8,1,6,5,7,3,4,2]=>[6,5,1,8,7,3,4,2]=>[2,4,3,7,8,1,5,6]=>[[1,2,4,5],[3,7,8],[6]]=>19 [7,8,6,2,5,3,1,4]=>[7,2,3,1,8,6,5,4]=>[4,5,6,8,1,3,2,7]=>[[1,2,3,4],[5,6,8],[7]]=>22 [6,1,3,5,2,8,4,7]=>[6,3,5,1,2,8,4,7]=>[7,4,8,2,1,5,3,6]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [4,3,8,7,5,2,1,6]=>[8,7,4,3,5,2,1,6]=>[6,1,2,5,3,4,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>17 [6,7,1,8,5,3,4,2]=>[6,7,1,8,3,5,4,2]=>[2,4,5,3,8,1,7,6]=>[[1,2,3,5],[4,7],[6,8]]=>19 [2,7,6,4,8,3,5,1]=>[7,2,6,8,4,3,5,1]=>[1,5,3,4,8,6,2,7]=>[[1,2,4,5,8],[3,6],[7]]=>17 [6,5,2,7,1,4,8,3]=>[6,2,1,5,7,4,8,3]=>[3,8,4,7,5,1,2,6]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [7,4,6,1,3,2,8,5]=>[7,1,4,3,2,6,8,5]=>[5,8,6,2,3,4,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [7,5,2,1,3,8,4,6]=>[2,1,3,5,7,4,8,6]=>[6,8,4,7,5,3,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>13 [8,4,7,6,3,1,5,2]=>[1,8,7,4,3,6,5,2]=>[2,5,6,3,4,7,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>22 [3,4,7,5,6,1,8,2]=>[3,7,4,5,1,6,8,2]=>[2,8,6,1,5,4,7,3]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [2,7,6,1,3,4,8,5]=>[2,1,3,7,6,8,4,5]=>[5,4,8,6,7,3,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [5,7,2,1,6,3,8,4]=>[2,5,1,7,3,6,8,4]=>[4,8,6,3,7,1,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [2,7,4,5,3,8,1,6]=>[2,7,4,5,8,3,1,6]=>[6,1,3,8,5,4,7,2]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [6,8,7,1,3,2,5,4]=>[6,1,3,8,2,7,5,4]=>[4,5,7,2,8,3,1,6]=>[[1,2,3,5],[4,6,8],[7]]=>18 [5,8,4,3,2,6,7,1]=>[5,4,3,2,8,6,7,1]=>[1,7,6,8,2,3,4,5]=>[[1,2,4,7,8],[3,6],[5]]=>18 [1,8,5,6,2,4,7,3]=>[1,5,6,4,8,7,2,3]=>[3,2,7,8,4,6,5,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [1,4,5,2,8,6,7,3]=>[8,4,1,5,6,7,2,3]=>[3,2,7,6,5,1,4,8]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [4,5,6,1,2,8,7,3]=>[4,1,5,8,2,6,7,3]=>[3,7,6,2,8,5,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [8,4,5,2,1,6,7,3]=>[4,2,1,5,6,8,7,3]=>[3,7,8,6,5,1,2,4]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [3,1,2,6,8,4,7,5]=>[3,6,8,1,7,2,4,5]=>[5,4,2,7,1,8,6,3]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [1,5,4,2,7,8,3,6]=>[5,4,7,1,8,2,3,6]=>[6,3,2,8,1,7,4,5]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [4,6,7,8,3,1,5,2]=>[6,7,1,8,4,3,5,2]=>[2,5,3,4,8,1,7,6]=>[[1,2,4,5],[3,7],[6,8]]=>18 [7,6,2,8,4,3,1,5]=>[7,6,2,4,3,1,8,5]=>[5,8,1,3,4,2,6,7]=>[[1,2,5,7,8],[3,4],[6]]=>19 [5,2,8,6,3,4,7,1]=>[5,2,8,3,6,4,7,1]=>[1,7,4,6,3,8,2,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [5,6,8,4,3,2,7,1]=>[8,5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5,8]=>[[1,2,4,5,6,8],[3],[7]]=>20 [5,3,8,1,7,2,4,6]=>[5,1,8,3,2,7,4,6]=>[6,4,7,2,3,8,1,5]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [3,6,7,8,4,2,1,5]=>[6,7,3,8,4,2,1,5]=>[5,1,2,4,8,3,7,6]=>[[1,3,4,5],[2,7],[6,8]]=>17 [6,5,1,8,4,3,7,2]=>[6,8,5,1,4,3,7,2]=>[2,7,3,4,1,5,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>17 [1,5,8,3,2,6,7,4]=>[1,8,5,3,6,7,2,4]=>[4,2,7,6,3,5,8,1]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [3,2,7,8,4,6,1,5]=>[7,3,8,6,2,4,1,5]=>[5,1,4,2,6,8,3,7]=>[[1,3,5,6],[2,7,8],[4]]=>14 [5,1,8,3,4,6,7,2]=>[1,8,3,5,4,6,7,2]=>[2,7,6,4,5,3,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>13 [4,8,7,2,1,6,3,5]=>[2,4,1,8,7,6,3,5]=>[5,3,6,7,8,1,4,2]=>[[1,3,4,5],[2,7],[6,8]]=>17 [2,8,1,6,3,4,7,5]=>[2,1,3,8,6,7,4,5]=>[5,4,7,6,8,3,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [8,3,4,2,1,6,5,7]=>[3,4,2,6,1,5,8,7]=>[7,8,5,1,6,2,4,3]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [8,4,5,2,6,3,1,7]=>[4,2,5,6,3,1,8,7]=>[7,8,1,3,6,5,2,4]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [2,4,5,8,3,6,1,7]=>[4,8,5,2,3,6,1,7]=>[7,1,6,3,2,5,8,4]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [8,5,1,2,6,4,3,7]=>[5,6,1,2,4,3,8,7]=>[7,8,3,4,2,1,6,5]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [5,8,6,1,3,4,2,7]=>[5,1,3,8,6,4,2,7]=>[7,2,4,6,8,3,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [5,8,4,6,1,3,2,7]=>[1,5,4,8,6,3,2,7]=>[7,2,3,6,8,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [7,3,4,5,2,8,1,6]=>[3,4,5,2,7,1,8,6]=>[6,8,1,7,2,5,4,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [5,7,4,3,6,1,8,2]=>[7,5,4,3,1,6,8,2]=>[2,8,6,1,3,4,5,7]=>[[1,2,6,7,8],[3,5],[4]]=>17 [2,6,4,3,7,8,5,1]=>[6,2,4,7,8,3,5,1]=>[1,5,3,8,7,4,2,6]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [7,4,1,8,3,2,5,6]=>[1,4,7,3,2,5,8,6]=>[6,8,5,2,3,7,4,1]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [1,4,7,5,6,8,2,3]=>[4,7,5,6,1,8,2,3]=>[3,2,8,1,6,5,7,4]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [1,4,7,6,5,8,2,3]=>[7,6,4,5,1,8,2,3]=>[3,2,8,1,5,4,6,7]=>[[1,3,7,8],[2,5],[4,6]]=>13 [3,7,5,2,4,6,8,1]=>[7,3,2,5,4,6,8,1]=>[1,8,6,4,5,2,3,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [5,6,1,7,4,2,8,3]=>[5,6,1,2,7,4,8,3]=>[3,8,4,7,2,1,6,5]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [3,7,4,8,1,2,6,5]=>[7,3,1,4,8,6,2,5]=>[5,2,6,8,4,1,3,7]=>[[1,3,4],[2,5,8],[6,7]]=>14 [6,3,5,7,8,1,4,2]=>[6,3,5,1,7,8,4,2]=>[2,4,8,7,1,5,3,6]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [3,6,5,7,1,8,4,2]=>[6,5,3,7,8,1,4,2]=>[2,4,1,8,7,3,5,6]=>[[1,2,4,8],[3,5,7],[6]]=>15 [7,5,8,4,1,3,2,6]=>[1,5,7,4,3,2,8,6]=>[6,8,2,3,4,7,5,1]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [4,7,5,8,3,1,2,6]=>[4,7,1,8,5,3,2,6]=>[6,2,3,5,8,1,7,4]=>[[1,3,4,5],[2,7],[6,8]]=>17 [5,7,3,1,6,8,4,2]=>[1,5,7,3,6,8,4,2]=>[2,4,8,6,3,7,5,1]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [2,7,3,1,8,6,4,5]=>[7,8,2,3,1,6,4,5]=>[5,4,6,1,3,2,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [4,8,1,2,3,5,7,6]=>[1,2,4,8,3,7,5,6]=>[6,5,7,3,8,4,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [2,8,5,4,6,1,7,3]=>[5,4,6,2,8,7,1,3]=>[3,1,7,8,2,6,4,5]=>[[1,3,4,8],[2,5,6],[7]]=>15 [8,4,5,2,7,6,1,3]=>[4,8,2,5,1,7,6,3]=>[3,6,7,1,5,2,8,4]=>[[1,2,3,7],[4,5,8],[6]]=>19 [8,7,6,4,1,2,5,3]=>[1,2,4,8,7,6,5,3]=>[3,5,6,7,8,4,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [6,7,1,3,5,2,8,4]=>[3,6,1,2,7,5,8,4]=>[4,8,5,7,2,1,6,3]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [5,7,2,3,6,8,1,4]=>[2,5,7,3,6,1,8,4]=>[4,8,1,6,3,7,5,2]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [3,8,5,1,6,2,7,4]=>[5,3,1,6,8,7,2,4]=>[4,2,7,8,6,1,3,5]=>[[1,3,4],[2,5,8],[6,7]]=>14 [2,5,1,3,6,8,7,4]=>[2,8,1,5,6,7,3,4]=>[4,3,7,6,5,1,8,2]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [7,5,2,8,4,1,3,6]=>[5,7,2,1,4,3,8,6]=>[6,8,3,4,1,2,7,5]=>[[1,2,7],[3,4,8],[5,6]]=>17 [3,7,6,4,1,8,2,5]=>[3,7,6,4,1,8,2,5]=>[5,2,8,1,4,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>15 [3,7,8,4,1,5,6,2]=>[3,1,7,4,8,5,6,2]=>[2,6,5,8,4,7,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [3,5,8,6,7,4,2,1]=>[5,8,6,7,3,4,2,1]=>[1,2,4,3,7,6,8,5]=>[[1,2,3,5,7],[4,6],[8]]=>19 [4,5,2,8,6,3,7,1]=>[4,5,8,2,6,3,7,1]=>[1,7,3,6,2,8,5,4]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [3,6,1,2,5,8,4,7]=>[1,3,6,8,5,2,4,7]=>[7,4,2,5,8,6,3,1]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [1,4,5,8,2,3,7,6]=>[4,1,8,5,7,2,3,6]=>[6,3,2,7,5,8,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [3,6,1,5,8,2,4,7]=>[3,6,1,8,5,2,4,7]=>[7,4,2,5,8,1,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [2,6,5,1,4,8,3,7]=>[2,6,5,8,4,1,3,7]=>[7,3,1,4,8,5,6,2]=>[[1,4,5,7],[2,6],[3,8]]=>11 [5,2,6,1,4,8,3,7]=>[5,2,6,8,1,4,3,7]=>[7,3,4,1,8,6,2,5]=>[[1,3,5],[2,6,8],[4,7]]=>11 [2,5,1,8,4,7,3,6]=>[5,8,2,7,4,1,3,6]=>[6,3,1,4,7,2,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>11 [8,4,3,7,1,2,6,5]=>[1,8,4,3,7,2,6,5]=>[5,6,2,7,3,4,8,1]=>[[1,2,4,7],[3,5,6],[8]]=>17 [1,8,4,2,6,7,3,5]=>[1,8,4,6,2,7,3,5]=>[5,3,7,2,6,4,8,1]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [3,1,7,6,8,2,4,5]=>[7,6,1,8,3,2,4,5]=>[5,4,2,3,8,1,6,7]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [7,2,1,6,3,5,8,4]=>[2,7,6,1,3,5,8,4]=>[4,8,5,3,1,6,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [2,6,1,7,3,5,8,4]=>[6,2,7,1,5,8,3,4]=>[4,3,8,5,1,7,2,6]=>[[1,3,6],[2,4,8],[5,7]]=>10 [5,4,1,2,7,8,3,6]=>[5,1,4,7,2,8,3,6]=>[6,3,8,2,7,4,1,5]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [8,1,3,2,4,6,7,5]=>[8,3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [1,8,3,4,7,2,5,6]=>[3,8,4,1,2,7,5,6]=>[6,5,7,2,1,4,8,3]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [3,5,8,1,2,7,4,6]=>[5,3,1,8,7,2,4,6]=>[6,4,2,7,8,1,3,5]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [3,6,8,1,2,4,7,5]=>[1,6,3,8,2,7,4,5]=>[5,4,7,2,8,3,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [1,4,6,8,2,3,7,5]=>[1,8,6,4,7,2,3,5]=>[5,3,2,7,4,6,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [2,6,8,1,7,3,4,5]=>[6,2,1,8,3,7,4,5]=>[5,4,7,3,8,1,2,6]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [6,1,5,8,2,3,7,4]=>[1,6,5,8,2,3,7,4]=>[4,7,3,2,8,5,6,1]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [1,8,3,2,7,5,6,4]=>[1,8,3,7,5,6,2,4]=>[4,2,6,5,7,3,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [2,6,7,3,8,1,5,4]=>[2,6,7,3,8,5,1,4]=>[4,1,5,8,3,7,6,2]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [8,4,1,7,3,6,2,5]=>[8,1,4,7,3,2,6,5]=>[5,6,2,3,7,4,1,8]=>[[1,2,5,8],[3,4,6],[7]]=>17 [3,7,2,8,6,1,5,4]=>[7,8,3,2,6,5,1,4]=>[4,1,5,6,2,3,8,7]=>[[1,3,4,7],[2,5,6,8]]=>16 [5,1,8,7,4,2,6,3]=>[1,8,7,5,2,4,6,3]=>[3,6,4,2,5,7,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>16 [4,7,2,8,3,6,5,1]=>[4,2,7,8,6,3,5,1]=>[1,5,3,6,8,7,2,4]=>[[1,2,4,5],[3,6],[7,8]]=>17 [5,1,7,4,8,3,6,2]=>[7,5,8,4,1,3,6,2]=>[2,6,3,1,4,8,5,7]=>[[1,2,5,6,8],[3,7],[4]]=>15 [6,8,2,4,3,7,5,1]=>[6,2,4,8,3,7,5,1]=>[1,5,7,3,8,4,2,6]=>[[1,2,3,5],[4,6,8],[7]]=>18 [3,8,7,2,4,1,5,6]=>[3,2,4,1,8,7,5,6]=>[6,5,7,8,1,4,2,3]=>[[1,3,4],[2,6,8],[5],[7]]=>15 [3,6,7,2,4,5,8,1]=>[6,3,2,7,4,5,8,1]=>[1,8,5,4,7,2,3,6]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [6,5,1,4,2,3,8,7]=>[1,6,2,5,4,8,3,7]=>[7,3,8,4,5,2,6,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [8,6,1,7,2,5,4,3]=>[1,8,6,7,2,5,4,3]=>[3,4,5,2,7,6,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>19 [8,7,6,1,2,3,5,4]=>[8,1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>19 [5,4,3,1,6,2,8,7]=>[1,5,4,3,6,8,2,7]=>[7,2,8,6,3,4,5,1]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [8,3,4,7,1,6,2,5]=>[3,8,4,1,7,2,6,5]=>[5,6,2,7,1,4,8,3]=>[[1,2,4,7],[3,6],[5,8]]=>17 [6,3,4,1,8,5,2,7]=>[3,4,1,6,8,5,2,7]=>[7,2,5,8,6,1,4,3]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [3,8,5,2,7,1,6,4]=>[5,8,3,2,7,6,1,4]=>[4,1,6,7,2,3,8,5]=>[[1,3,4,7],[2,5,6,8]]=>16 [2,8,6,7,5,3,4,1]=>[6,2,8,7,5,3,4,1]=>[1,4,3,5,7,8,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>20 [3,6,5,8,2,4,7,1]=>[6,8,5,3,2,4,7,1]=>[1,7,4,2,3,5,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>16 [4,6,5,2,7,3,8,1]=>[6,4,2,5,7,3,8,1]=>[1,8,3,7,5,2,4,6]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [8,7,5,1,2,6,4,3]=>[1,8,2,5,7,6,4,3]=>[3,4,6,7,5,2,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>20 [8,4,3,2,7,1,6,5]=>[4,8,3,2,7,1,6,5]=>[5,6,1,7,2,3,8,4]=>[[1,2,4,7],[3,5,6,8]]=>17 [3,8,1,4,7,5,2,6]=>[1,8,3,4,7,5,2,6]=>[6,2,5,7,4,3,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>13 [6,3,8,7,4,5,1,2]=>[8,6,3,4,1,7,5,2]=>[2,5,7,1,4,3,6,8]=>[[1,2,3,8],[4,5,7],[6]]=>20 [8,5,7,4,6,2,1,3]=>[8,5,4,2,1,7,6,3]=>[3,6,7,1,2,4,5,8]=>[[1,2,3,7,8],[4,5,6]]=>23 [8,7,4,6,2,1,5,3]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[[1,2,3,4,6],[5,7,8]]=>22 [8,2,6,5,3,1,7,4]=>[2,8,3,1,6,5,7,4]=>[4,7,5,6,1,3,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [4,8,7,6,5,2,3,1]=>[8,7,6,4,2,5,3,1]=>[1,3,5,2,4,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>23 [2,1,8,6,4,3,7,5]=>[2,6,4,8,7,1,3,5]=>[5,3,1,7,8,4,6,2]=>[[1,4,5],[2,6,7],[3,8]]=>11 [2,1,7,6,5,3,8,4]=>[7,6,5,2,8,1,3,4]=>[4,3,1,8,2,5,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>11 [2,7,6,1,3,5,8,4]=>[2,7,1,6,5,8,3,4]=>[4,3,8,5,6,1,7,2]=>[[1,3,5,7],[2,4],[6,8]]=>12 [4,7,6,1,2,5,8,3]=>[1,4,7,6,2,5,8,3]=>[3,8,5,2,6,7,4,1]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [3,4,1,7,8,5,6,2]=>[7,8,3,1,4,5,6,2]=>[2,6,5,4,1,3,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [7,5,4,3,1,8,6,2]=>[1,5,4,3,7,8,6,2]=>[2,6,8,7,3,4,5,1]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [6,3,5,4,1,7,8,2]=>[6,3,1,5,4,7,8,2]=>[2,8,7,4,5,1,3,6]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [4,1,3,6,7,5,8,2]=>[4,6,7,1,3,5,8,2]=>[2,8,5,3,1,7,6,4]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [1,7,2,4,5,8,3,6]=>[1,7,8,2,4,5,3,6]=>[6,3,5,4,2,8,7,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [8,2,5,3,1,6,4,7]=>[2,5,3,6,1,4,8,7]=>[7,8,4,1,6,3,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [2,6,4,7,8,3,5,1]=>[6,7,8,2,4,3,5,1]=>[1,5,3,4,2,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>15 [1,2,6,4,7,8,3,5]=>[6,7,8,1,4,2,3,5]=>[5,3,2,4,1,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [2,7,5,3,1,8,4,6]=>[2,7,3,5,1,8,4,6]=>[6,4,8,1,5,3,7,2]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [6,1,4,7,8,3,5,2]=>[6,7,8,1,4,3,5,2]=>[2,5,3,4,1,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>15 [3,6,4,7,8,1,5,2]=>[3,6,7,4,8,1,5,2]=>[2,5,1,8,4,7,6,3]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [4,3,6,7,1,8,2,5]=>[4,6,7,3,1,8,2,5]=>[5,2,8,1,3,7,6,4]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [3,6,4,7,8,1,2,5]=>[3,6,7,1,8,4,2,5]=>[5,2,4,8,1,7,6,3]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [2,3,6,4,1,7,8,5]=>[2,6,3,4,7,8,1,5]=>[5,1,8,7,4,3,6,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [4,7,2,1,5,3,8,6]=>[2,1,4,7,5,8,3,6]=>[6,3,8,5,7,4,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [5,4,2,1,3,7,8,6]=>[2,1,5,4,7,8,3,6]=>[6,3,8,7,4,5,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [1,6,7,3,8,2,5,4]=>[6,7,1,3,8,5,2,4]=>[4,2,5,8,3,1,7,6]=>[[1,3,4],[2,5,7],[6,8]]=>13 [6,1,4,7,8,5,2,3]=>[6,7,8,1,4,2,5,3]=>[3,5,2,4,1,8,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>15 [6,3,2,1,7,8,5,4]=>[3,2,6,7,8,1,5,4]=>[4,5,1,8,7,6,2,3]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [6,2,7,3,1,8,5,4]=>[2,6,3,7,8,1,5,4]=>[4,5,1,8,7,3,6,2]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [6,2,4,7,8,1,5,3]=>[2,6,7,4,8,1,5,3]=>[3,5,1,8,4,7,6,2]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [6,4,7,8,3,2,5,1]=>[4,6,7,3,2,8,5,1]=>[1,5,8,2,3,7,6,4]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [3,8,4,7,1,2,5,6]=>[3,1,8,4,2,7,5,6]=>[6,5,7,2,4,8,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [8,6,1,2,5,4,3,7]=>[6,5,1,2,4,3,8,7]=>[7,8,3,4,2,1,5,6]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [4,8,6,1,5,3,2,7]=>[8,1,4,6,5,3,2,7]=>[7,2,3,5,6,4,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>16 [5,8,6,4,1,3,2,7]=>[1,5,8,6,4,3,2,7]=>[7,2,3,4,6,8,5,1]=>[[1,3,4,5,6],[2],[7],[8]]=>18 [8,3,6,4,5,2,1,7]=>[3,6,4,5,2,1,8,7]=>[7,8,1,2,5,4,6,3]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [6,8,5,7,4,2,3,1]=>[8,6,5,2,7,4,3,1]=>[1,3,4,7,2,5,6,8]=>[[1,2,3,4,7,8],[5,6]]=>24 [2,3,8,7,1,6,4,5]=>[8,2,7,6,3,1,4,5]=>[5,4,1,3,6,7,2,8]=>[[1,4,5,6,8],[2],[3],[7]]=>13 [4,3,7,8,1,6,2,5]=>[7,8,4,3,1,6,2,5]=>[5,2,6,1,3,4,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>15 [3,5,8,7,4,1,2,6]=>[8,7,5,3,1,4,2,6]=>[6,2,4,1,3,5,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>16 [4,8,1,2,7,3,5,6]=>[1,4,2,8,3,7,5,6]=>[6,5,7,3,8,2,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [6,8,1,2,7,4,5,3]=>[8,6,1,2,4,7,5,3]=>[3,5,7,4,2,1,6,8]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [2,5,8,7,3,6,4,1]=>[5,8,7,2,6,3,4,1]=>[1,4,3,6,2,7,8,5]=>[[1,2,4,6,7],[3,8],[5]]=>17 [2,4,8,7,5,6,1,3]=>[4,8,7,5,6,2,1,3]=>[3,1,2,6,5,7,8,4]=>[[1,3,4,6,7],[2,5],[8]]=>16 [6,4,8,7,5,1,2,3]=>[8,4,1,6,2,7,5,3]=>[3,5,7,2,6,1,4,8]=>[[1,2,3,8],[4,5],[6,7]]=>20 [3,8,5,2,4,6,7,1]=>[5,3,2,4,8,6,7,1]=>[1,7,6,8,4,2,3,5]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [5,7,1,8,4,6,2,3]=>[5,1,7,8,4,2,6,3]=>[3,6,2,4,8,7,1,5]=>[[1,2,5],[3,4,6],[7,8]]=>17 [6,3,8,7,2,1,4,5]=>[8,6,3,2,1,4,7,5]=>[5,7,4,1,2,3,6,8]=>[[1,2,6,7,8],[3,5],[4]]=>17 [3,7,6,8,5,1,2,4]=>[7,6,1,8,5,3,2,4]=>[4,2,3,5,8,1,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>18 [2,4,7,8,1,6,3,5]=>[7,4,8,6,2,1,3,5]=>[5,3,1,2,6,8,4,7]=>[[1,4,5,6],[2,7,8],[3]]=>13 [2,8,3,4,1,5,7,6]=>[2,3,4,8,1,7,5,6]=>[6,5,7,1,8,4,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [6,8,3,4,1,2,7,5]=>[3,1,6,4,8,2,7,5]=>[5,7,2,8,4,6,1,3]=>[[1,2,4],[3,5,6],[7,8]]=>16 [6,8,7,1,5,2,3,4]=>[1,6,2,8,3,7,5,4]=>[4,5,7,3,8,2,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [2,5,3,1,8,6,7,4]=>[5,2,8,3,6,7,1,4]=>[4,1,7,6,3,8,2,5]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [4,5,3,2,8,6,7,1]=>[4,5,8,3,2,6,7,1]=>[1,7,6,2,3,8,5,4]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [3,5,8,6,1,4,7,2]=>[5,3,8,6,1,4,7,2]=>[2,7,4,1,6,8,3,5]=>[[1,2,5,6],[3,7,8],[4]]=>15 [4,6,8,5,3,2,7,1]=>[8,6,4,5,3,2,7,1]=>[1,7,2,3,5,4,6,8]=>[[1,2,4,5,7,8],[3],[6]]=>19 [2,6,4,8,5,1,7,3]=>[6,4,8,5,2,7,1,3]=>[3,1,7,2,5,8,4,6]=>[[1,3,5,6],[2,4,8],[7]]=>14 [7,6,4,8,5,2,1,3]=>[4,7,6,2,1,8,5,3]=>[3,5,8,1,2,6,7,4]=>[[1,2,3,7],[4,5,6],[8]]=>22 [3,4,8,6,5,2,7,1]=>[8,3,6,4,5,2,7,1]=>[1,7,2,5,4,6,3,8]=>[[1,2,4,6,8],[3],[5],[7]]=>16 [3,4,8,7,5,6,2,1]=>[3,8,7,4,5,6,2,1]=>[1,2,6,5,4,7,8,3]=>[[1,2,3,6,7],[4],[5],[8]]=>18 [7,5,3,2,8,6,1,4]=>[3,2,5,7,1,8,6,4]=>[4,6,8,1,7,5,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [4,5,1,2,8,6,7,3]=>[4,1,8,2,5,6,7,3]=>[3,7,6,5,2,8,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [8,3,5,4,1,6,7,2]=>[5,3,1,4,6,8,7,2]=>[2,7,8,6,4,1,3,5]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [7,3,4,8,5,6,1,2]=>[7,3,4,5,1,8,6,2]=>[2,6,8,1,5,4,3,7]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [7,4,5,1,2,3,8,6]=>[1,4,2,5,3,7,8,6]=>[6,8,7,3,5,2,4,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>13 [7,4,3,1,2,8,5,6]=>[1,4,3,7,2,5,8,6]=>[6,8,5,2,7,3,4,1]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [8,4,7,6,2,1,5,3]=>[4,2,8,7,1,6,5,3]=>[3,5,6,1,7,8,2,4]=>[[1,2,3,5,6],[4,7,8]]=>21 [8,4,6,5,7,1,3,2]=>[6,4,1,5,8,7,3,2]=>[2,3,7,8,5,1,4,6]=>[[1,2,3,4],[5,7,8],[6]]=>21 [7,2,1,4,5,8,3,6]=>[2,4,5,7,1,3,8,6]=>[6,8,3,1,7,5,4,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>11 [7,4,1,6,3,5,8,2]=>[7,4,1,3,6,5,8,2]=>[2,8,5,6,3,1,4,7]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [3,5,7,6,4,1,8,2]=>[7,5,6,3,1,4,8,2]=>[2,8,4,1,3,6,5,7]=>[[1,2,6,8],[3,5,7],[4]]=>15 [4,7,5,2,1,3,8,6]=>[4,2,1,7,5,8,3,6]=>[6,3,8,5,7,1,2,4]=>[[1,3,5],[2,4,8],[6,7]]=>13 [8,6,2,3,7,1,4,5]=>[6,2,3,1,4,8,7,5]=>[5,7,8,4,1,3,2,6]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [1,7,2,4,8,6,3,5]=>[7,8,6,1,2,4,3,5]=>[5,3,4,2,1,6,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [7,6,1,5,4,8,3,2]=>[7,6,5,1,4,8,3,2]=>[2,3,8,4,1,5,6,7]=>[[1,2,3,6,7,8],[4],[5]]=>19 [4,8,7,6,1,2,5,3]=>[1,4,8,7,6,2,5,3]=>[3,5,2,6,7,8,4,1]=>[[1,2,4,5,6],[3,7],[8]]=>19 [7,8,6,1,3,2,5,4]=>[3,1,2,7,8,6,5,4]=>[4,5,6,8,7,2,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [2,8,6,7,4,1,3,5]=>[2,6,1,8,7,4,3,5]=>[5,3,4,7,8,1,6,2]=>[[1,3,4,5],[2,7],[6,8]]=>17 [5,8,6,4,2,3,1,7]=>[5,2,8,6,4,3,1,7]=>[7,1,3,4,6,8,2,5]=>[[1,3,4,5,6],[2,8],[7]]=>19 [6,8,5,4,2,7,3,1]=>[2,8,6,5,4,7,3,1]=>[1,3,7,4,5,6,8,2]=>[[1,2,3,5,6,7],[4],[8]]=>22 [6,8,3,1,2,4,5,7]=>[1,3,2,4,8,6,5,7]=>[7,5,6,8,4,2,3,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [8,4,5,2,1,6,3,7]=>[4,2,1,5,6,3,8,7]=>[7,8,3,6,5,1,2,4]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [4,3,2,6,8,1,7,5]=>[4,8,3,6,2,7,1,5]=>[5,1,7,2,6,3,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>12 [3,5,4,2,8,1,6,7]=>[5,8,3,4,2,1,6,7]=>[7,6,1,2,4,3,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [5,1,3,8,4,2,7,6]=>[1,8,5,3,4,7,2,6]=>[6,2,7,4,3,5,8,1]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [6,2,8,7,3,5,4,1]=>[6,8,2,7,3,5,4,1]=>[1,4,5,3,7,2,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>19 [7,1,8,4,3,6,5,2]=>[7,1,4,8,6,3,5,2]=>[2,5,3,6,8,4,1,7]=>[[1,2,4,5],[3,6,8],[7]]=>17 [3,6,8,7,4,1,2,5]=>[8,6,3,1,7,4,2,5]=>[5,2,4,7,1,3,6,8]=>[[1,3,4,8],[2,6,7],[5]]=>17 [7,4,6,8,2,1,5,3]=>[7,4,2,1,6,8,5,3]=>[3,5,8,6,1,2,4,7]=>[[1,2,3,8],[4,6,7],[5]]=>19 [6,5,8,4,3,1,2,7]=>[6,1,8,5,4,3,2,7]=>[7,2,3,4,5,8,1,6]=>[[1,3,4,5,6],[2,8],[7]]=>19 [2,5,8,3,6,7,4,1]=>[8,5,2,6,7,3,4,1]=>[1,4,3,7,6,2,5,8]=>[[1,2,4,8],[3,5],[6,7]]=>15 [1,5,8,3,7,4,2,6]=>[5,3,8,7,4,1,2,6]=>[6,2,1,4,7,8,3,5]=>[[1,4,5,6],[2,7,8],[3]]=>13 [3,8,2,7,1,5,6,4]=>[3,2,8,5,7,6,1,4]=>[4,1,6,7,5,8,2,3]=>[[1,3,4,6],[2,5,8],[7]]=>15 [5,8,2,3,6,4,1,7]=>[2,3,5,8,6,4,1,7]=>[7,1,4,6,8,5,3,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>15 [6,8,2,3,4,7,5,1]=>[2,3,6,8,4,7,5,1]=>[1,5,7,4,8,6,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [3,5,8,7,4,2,6,1]=>[8,7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>18 [7,5,1,8,4,2,6,3]=>[5,1,7,2,4,8,6,3]=>[3,6,8,4,2,7,1,5]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [3,6,8,5,2,7,4,1]=>[8,6,5,3,7,2,4,1]=>[1,4,2,7,3,5,6,8]=>[[1,2,4,6,7,8],[3,5]]=>18 [2,1,7,4,3,5,8,6]=>[2,7,1,4,8,3,5,6]=>[6,5,3,8,4,1,7,2]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [3,5,7,8,4,6,1,2]=>[7,8,5,3,4,1,6,2]=>[2,6,1,4,3,5,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>17 [8,6,2,3,5,7,1,4]=>[6,2,3,5,1,8,7,4]=>[4,7,8,1,5,3,2,6]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [7,8,2,4,3,1,5,6]=>[4,2,3,1,7,5,8,6]=>[6,8,5,7,1,3,2,4]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [6,1,8,2,3,5,4,7]=>[1,2,3,6,8,5,4,7]=>[7,4,5,8,6,3,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [7,2,4,1,6,3,8,5]=>[4,7,2,1,3,6,8,5]=>[5,8,6,3,1,2,7,4]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [8,4,3,1,7,5,2,6]=>[4,3,8,1,5,2,7,6]=>[6,7,2,5,1,8,3,4]=>[[1,2,6],[3,4,8],[5,7]]=>16 [4,3,8,7,1,6,5,2]=>[4,8,7,3,6,1,5,2]=>[2,5,1,6,3,7,8,4]=>[[1,2,4,6,7],[3,5,8]]=>17 [5,3,2,4,7,8,6,1]=>[3,2,5,7,8,4,6,1]=>[1,6,4,8,7,5,2,3]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [5,3,4,2,8,7,1,6]=>[3,5,8,4,7,2,1,6]=>[6,1,2,7,4,8,5,3]=>[[1,3,4,6],[2,5,7],[8]]=>14 [3,8,6,5,4,1,2,7]=>[8,6,3,1,5,4,2,7]=>[7,2,4,5,1,3,6,8]=>[[1,3,4,7,8],[2,6],[5]]=>17 [4,7,5,6,3,8,2,1]=>[4,7,5,6,3,8,2,1]=>[1,2,8,3,6,5,7,4]=>[[1,2,3,5,7],[4],[6],[8]]=>19 [4,8,5,7,2,3,1,6]=>[8,4,2,7,5,3,1,6]=>[6,1,3,5,7,2,4,8]=>[[1,3,4,5,8],[2,7],[6]]=>18 [4,2,7,5,8,3,6,1]=>[4,7,8,2,5,3,6,1]=>[1,6,3,5,2,8,7,4]=>[[1,2,4,6],[3,7],[5,8]]=>15 [5,8,2,7,3,4,6,1]=>[2,5,3,8,7,4,6,1]=>[1,6,4,7,8,3,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [6,7,2,4,5,3,8,1]=>[6,2,4,7,5,3,8,1]=>[1,8,3,5,7,4,2,6]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [6,1,3,4,7,5,8,2]=>[1,3,6,7,4,5,8,2]=>[2,8,5,4,7,6,3,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [6,3,2,1,4,8,5,7]=>[3,2,6,1,4,8,5,7]=>[7,5,8,4,1,6,2,3]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [6,2,3,1,4,7,8,5]=>[2,3,1,4,6,7,8,5]=>[5,8,7,6,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>9 [6,2,8,3,5,7,4,1]=>[6,2,8,3,5,7,4,1]=>[1,4,7,5,3,8,2,6]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [5,2,1,3,6,4,8,7]=>[2,1,3,5,6,8,4,7]=>[7,4,8,6,5,3,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [7,1,8,3,5,4,6,2]=>[1,3,7,8,5,4,6,2]=>[2,6,4,5,8,7,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [7,1,2,4,8,5,6,3]=>[7,1,2,8,4,5,6,3]=>[3,6,5,4,8,2,1,7]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [7,2,1,3,4,5,8,6]=>[2,1,3,4,5,7,8,6]=>[6,8,7,5,4,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>8 [8,7,3,5,4,2,1,6]=>[5,3,4,2,1,8,7,6]=>[6,7,8,1,2,4,3,5]=>[[1,2,3,8],[4,5,6],[7]]=>21 [8,4,6,5,3,2,1,7]=>[6,4,5,3,2,1,8,7]=>[7,8,1,2,3,5,4,6]=>[[1,2,5,6,8],[3,4],[7]]=>20 [8,3,7,1,4,6,5,2]=>[3,8,7,1,4,6,5,2]=>[2,5,6,4,1,7,8,3]=>[[1,2,3,6,7],[4,8],[5]]=>18 [6,2,1,7,5,8,3,4]=>[6,7,2,5,1,3,8,4]=>[4,8,3,1,5,2,7,6]=>[[1,2,7],[3,5,8],[4,6]]=>13 [6,3,8,7,5,2,1,4]=>[8,6,7,3,2,1,5,4]=>[4,5,1,2,3,7,6,8]=>[[1,2,5,6,8],[3,4,7]]=>20 [9,1,8,7,6,5,4,3,2]=>[9,8,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3]]=>29 [7,6,8,1,5,4,3,2]=>[7,6,8,1,5,4,3,2]=>[2,3,4,5,1,8,6,7]=>[[1,2,3,4,6,8],[5,7]]=>22 [3,1,9,8,7,6,5,4,2]=>[9,8,7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3],[4]]=>23 [10,1,9,8,7,6,5,4,3,2]=>[10,9,8,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,8,9,10]=>[[1,2,4,5,6,7,8,9,10],[3]]=>37 [7,6,1,8,5,4,3,2]=>[7,6,8,5,1,4,3,2]=>[2,3,4,1,5,8,6,7]=>[[1,2,3,5,6,8],[4,7]]=>21 [6,5,8,1,7,4,3,2]=>[6,8,1,5,7,4,3,2]=>[2,3,4,7,5,1,8,6]=>[[1,2,3,4,7],[5,8],[6]]=>20 [6,5,8,7,4,1,3,2]=>[6,5,8,1,7,4,3,2]=>[2,3,4,7,1,8,5,6]=>[[1,2,3,4,6],[5,7,8]]=>22 [3,1,10,9,8,7,6,5,4,2]=>[10,9,8,7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7,8,9,10]=>[[1,2,5,6,7,8,9,10],[3],[4]]=>30 [1,4,8,5,6,2,3,7]=>[4,5,1,8,6,2,3,7]=>[7,3,2,6,8,1,5,4]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [1,2,8,5,3,7,4,6]=>[8,1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [6,1,4,8,2,3,5,7]=>[1,6,4,2,3,8,5,7]=>[7,5,8,3,2,4,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [8,7,2,5,6,1,4,3]=>[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[[1,2,3,5,6],[4,8],[7]]=>21 [1,8,2,5,4,7,3,6]=>[5,8,7,1,2,4,3,6]=>[6,3,4,2,1,7,8,5]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [5,7,4,1,2,3,8,6]=>[1,2,7,5,4,8,3,6]=>[6,3,8,4,5,7,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [1,7,4,2,5,3,8,6]=>[1,2,7,4,5,8,3,6]=>[6,3,8,5,4,7,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [6,7,4,2,1,3,8,5]=>[2,1,6,4,3,7,8,5]=>[5,8,7,3,4,6,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [6,4,3,8,5,7,1,2]=>[4,6,3,8,5,1,7,2]=>[2,7,1,5,8,3,6,4]=>[[1,2,5],[3,4,7],[6,8]]=>18 [7,2,5,3,4,1,6,8]=>[2,5,3,4,1,7,6,8]=>[8,6,7,1,4,3,5,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [2,7,4,3,1,5,6,8]=>[4,2,3,1,7,5,6,8]=>[8,6,5,7,1,3,2,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [3,7,5,2,4,1,6,8]=>[7,3,2,5,4,1,6,8]=>[8,6,1,4,5,2,3,7]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [7,1,3,2,8,4,5,6]=>[7,3,1,2,4,5,8,6]=>[6,8,5,4,2,1,3,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [2,1,7,4,8,3,5,6]=>[7,2,8,1,4,3,5,6]=>[6,5,3,4,1,8,2,7]=>[[1,4,6],[2,7,8],[3],[5]]=>9 [5,2,8,6,1,3,4,7]=>[5,2,1,8,3,6,4,7]=>[7,4,6,3,8,1,2,5]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [2,8,3,1,4,5,6,7]=>[2,3,1,4,5,8,6,7]=>[7,6,8,5,4,1,3,2]=>[[1,3],[2,7],[4],[5],[6],[8]]=>8 [7,4,8,2,3,1,5,6]=>[2,7,4,3,1,5,8,6]=>[6,8,5,1,3,4,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [4,2,7,3,1,5,6,8]=>[2,7,4,3,1,5,6,8]=>[8,6,5,1,3,4,7,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>9 [8,3,7,2,1,4,5,6]=>[3,2,1,4,8,5,7,6]=>[6,7,5,8,4,1,2,3]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [6,4,3,1,8,2,5,7]=>[4,3,1,6,2,8,5,7]=>[7,5,8,2,6,1,3,4]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [7,4,1,2,8,3,5,6]=>[4,1,2,7,3,5,8,6]=>[6,8,5,3,7,2,1,4]=>[[1,2],[3,5],[4,8],[6],[7]]=>12 [6,5,8,1,3,7,2,4]=>[6,1,5,8,3,2,7,4]=>[4,7,2,3,8,5,1,6]=>[[1,2,5,8],[3,4,6],[7]]=>17 [5,3,6,1,8,2,4,7]=>[3,5,1,6,2,8,4,7]=>[7,4,8,2,6,1,5,3]=>[[1,3],[2,5],[4,7],[6,8]]=>12 [3,1,8,5,4,7,6,2]=>[1,8,5,7,3,4,6,2]=>[2,6,4,3,7,5,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [4,5,1,8,2,7,6,3]=>[8,1,4,5,7,2,6,3]=>[3,6,2,7,5,4,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [4,5,2,8,1,7,6,3]=>[4,8,2,5,7,1,6,3]=>[3,6,1,7,5,2,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>14 [4,5,2,1,8,7,6,3]=>[4,8,2,7,1,5,6,3]=>[3,6,5,1,7,2,8,4]=>[[1,2,5,7],[3,6,8],[4]]=>13 [5,6,2,7,8,1,4,3]=>[2,5,6,1,7,8,4,3]=>[3,4,8,7,1,6,5,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [4,8,6,3,7,1,5,2]=>[6,4,3,8,7,1,5,2]=>[2,5,1,7,8,3,4,6]=>[[1,2,4,5],[3,6,7,8]]=>19 [4,8,6,3,7,5,1,2]=>[6,4,8,7,3,1,5,2]=>[2,5,1,3,7,8,4,6]=>[[1,2,5,6],[3,4,7,8]]=>20 [4,6,8,2,7,5,1,3]=>[6,8,4,7,2,1,5,3]=>[3,5,1,2,7,4,8,6]=>[[1,2,5,7],[3,4,6,8]]=>18 [5,6,2,7,4,1,8,3]=>[2,5,6,1,7,4,8,3]=>[3,8,4,7,1,6,5,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [5,6,7,2,8,3,1,4]=>[5,2,6,7,3,1,8,4]=>[4,8,1,3,7,6,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [5,6,7,2,1,8,3,4]=>[5,2,1,6,7,3,8,4]=>[4,8,3,7,6,1,2,5]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [5,6,7,2,1,3,8,4]=>[5,2,1,6,3,7,8,4]=>[4,8,7,3,6,1,2,5]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [5,6,1,7,8,2,4,3]=>[5,6,1,2,7,8,4,3]=>[3,4,8,7,2,1,6,5]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [4,1,6,8,7,5,3,2]=>[8,6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>16 [5,1,6,7,4,8,3,2]=>[5,6,7,4,8,1,3,2]=>[2,3,1,8,4,7,6,5]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [4,6,8,1,7,5,2,3]=>[6,8,4,1,7,2,5,3]=>[3,5,2,7,1,4,8,6]=>[[1,2,4,7],[3,6,8],[5]]=>17 [4,8,6,1,7,5,3,2]=>[4,8,6,7,1,5,3,2]=>[2,3,5,1,7,6,8,4]=>[[1,2,3,5,7],[4,6],[8]]=>19 [5,6,7,1,3,8,2,4]=>[1,5,6,3,7,2,8,4]=>[4,8,2,7,3,6,5,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [5,6,7,3,8,1,2,4]=>[5,6,3,1,7,2,8,4]=>[4,8,2,7,1,3,6,5]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [5,6,7,3,8,2,1,4]=>[5,6,3,7,2,1,8,4]=>[4,8,1,2,7,3,6,5]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [1,4,8,6,3,2,5,7]=>[8,6,4,1,3,2,5,7]=>[7,5,2,3,1,4,6,8]=>[[1,4,6,7,8],[2],[3],[5]]=>11 [7,4,1,6,3,8,5,2]=>[7,4,1,3,6,8,5,2]=>[2,5,8,6,3,1,4,7]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [7,6,3,1,5,8,4,2]=>[7,1,3,6,5,8,4,2]=>[2,4,8,5,6,3,1,7]=>[[1,2,3,5,8],[4],[6],[7]]=>18 [6,4,2,5,7,3,1,8]=>[2,4,6,5,7,3,1,8]=>[8,1,3,7,5,6,4,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>14 [4,2,5,7,6,3,1,8]=>[7,2,4,5,6,3,1,8]=>[8,1,3,6,5,4,2,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>12 [7,4,5,6,1,8,3,2]=>[4,1,5,7,6,8,3,2]=>[2,3,8,6,7,5,1,4]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [3,2,7,6,1,8,5,4]=>[7,6,3,8,2,5,1,4]=>[4,1,5,2,8,3,6,7]=>[[1,3,5,7,8],[2,4,6]]=>13 [4,7,5,1,6,8,2,3]=>[7,4,1,5,6,2,8,3]=>[3,8,2,6,5,1,4,7]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [8,6,5,1,2,7,4,3]=>[6,1,2,5,8,7,4,3]=>[3,4,7,8,5,2,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [3,2,5,1,4,8,7,6]=>[3,5,8,2,7,1,4,6]=>[6,4,1,7,2,8,5,3]=>[[1,4,6],[2,5,7],[3,8]]=>8 [8,5,4,1,3,2,7,6]=>[5,1,4,3,8,2,7,6]=>[6,7,2,8,3,4,1,5]=>[[1,2,4,8],[3,5,6],[7]]=>16 [1,4,2,3,6,8,7,5]=>[8,1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1,8]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [5,4,8,3,7,1,6,2]=>[8,5,4,3,7,1,6,2]=>[2,6,1,7,3,4,5,8]=>[[1,2,4,7,8],[3,5,6]]=>18 [4,7,1,8,2,5,3,6]=>[1,4,2,7,8,5,3,6]=>[6,3,5,8,7,2,4,1]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [6,4,1,8,5,3,7,2]=>[6,1,8,4,5,3,7,2]=>[2,7,3,5,4,8,1,6]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [8,4,6,1,3,5,2,7]=>[4,1,6,3,5,2,8,7]=>[7,8,2,5,3,6,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [3,2,5,4,7,8,1,6]=>[3,5,7,8,2,4,1,6]=>[6,1,4,2,8,7,5,3]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [3,1,7,6,5,8,2,4]=>[7,6,3,5,1,8,2,4]=>[4,2,8,1,5,3,6,7]=>[[1,3,7,8],[2,5],[4,6]]=>13 [1,2,7,5,6,8,3,4]=>[5,7,6,1,8,2,3,4]=>[4,3,2,8,1,6,7,5]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [6,1,4,7,2,8,3,5]=>[4,1,6,7,2,3,8,5]=>[5,8,3,2,7,6,1,4]=>[[1,2],[3,5],[4,6],[7,8]]=>12 [3,2,8,6,4,7,1,5]=>[6,3,8,7,2,4,1,5]=>[5,1,4,2,7,8,3,6]=>[[1,3,5,6],[2,7,8],[4]]=>14 [7,8,4,6,3,2,1,5]=>[4,7,3,2,1,8,6,5]=>[5,6,8,1,2,3,7,4]=>[[1,2,3,7],[4,5,6],[8]]=>22 [1,8,6,5,3,7,2,4]=>[6,1,5,8,7,3,2,4]=>[4,2,3,7,8,5,1,6]=>[[1,3,4,5],[2,6,8],[7]]=>16 [3,8,5,2,7,6,1,4]=>[5,8,3,7,6,2,1,4]=>[4,1,2,6,7,3,8,5]=>[[1,3,4,5,7],[2,6,8]]=>17 [4,5,3,6,8,1,7,2]=>[4,5,3,6,8,1,7,2]=>[2,7,1,8,6,3,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [1,6,3,5,7,2,8,4]=>[6,5,7,1,3,8,2,4]=>[4,2,8,3,1,7,5,6]=>[[1,3,6,8],[2,4],[5,7]]=>10 [1,5,4,6,7,8,2,3]=>[5,4,6,7,1,8,2,3]=>[3,2,8,1,7,6,4,5]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [7,4,5,2,6,8,1,3]=>[4,2,5,7,6,1,8,3]=>[3,8,1,6,7,5,2,4]=>[[1,2,5],[3,4,8],[6],[7]]=>17 [6,5,1,4,3,2,8,7]=>[6,5,1,4,3,8,2,7]=>[7,2,8,3,4,1,5,6]=>[[1,3,5,7,8],[2,4],[6]]=>13 [3,6,4,5,2,1,8,7]=>[3,6,4,5,2,8,1,7]=>[7,1,8,2,5,4,6,3]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [5,2,6,7,3,1,4,8]=>[5,6,2,3,1,7,4,8]=>[8,4,7,1,3,2,6,5]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [2,4,3,8,6,1,5,7]=>[4,8,6,2,3,1,5,7]=>[7,5,1,3,2,6,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [7,1,3,8,5,6,2,4]=>[7,3,8,5,1,2,6,4]=>[4,6,2,1,5,8,3,7]=>[[1,2,6],[3,5,8],[4,7]]=>15 [1,5,7,8,3,4,6,2]=>[7,3,8,5,4,6,1,2]=>[2,1,6,4,5,8,3,7]=>[[1,3,5,6],[2,4,8],[7]]=>14 [3,7,1,5,8,6,2,4]=>[3,5,7,1,8,6,2,4]=>[4,2,6,8,1,7,5,3]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [1,3,7,8,2,5,6,4]=>[3,7,5,8,6,1,2,4]=>[4,2,1,6,8,5,7,3]=>[[1,4,5],[2,6,7],[3,8]]=>11 [3,1,7,8,5,2,6,4]=>[7,3,1,8,5,6,2,4]=>[4,2,6,5,8,1,3,7]=>[[1,3,5],[2,4,8],[6,7]]=>13 [1,3,7,5,8,2,6,4]=>[5,7,3,8,6,1,2,4]=>[4,2,1,6,8,3,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>11 [3,1,7,5,8,2,6,4]=>[3,7,5,8,1,6,2,4]=>[4,2,6,1,8,5,7,3]=>[[1,3,5],[2,6,7],[4,8]]=>12 [3,5,7,1,8,4,6,2]=>[5,7,8,3,1,4,6,2]=>[2,6,4,1,3,8,7,5]=>[[1,2,6],[3,5,7],[4,8]]=>14 [3,5,7,8,1,4,6,2]=>[7,5,8,3,1,4,6,2]=>[2,6,4,1,3,8,5,7]=>[[1,2,6,8],[3,5,7],[4]]=>15 [5,3,7,8,4,1,6,2]=>[5,7,3,1,8,4,6,2]=>[2,6,4,8,1,3,7,5]=>[[1,2,4],[3,6,7],[5,8]]=>17 [5,3,7,1,8,4,6,2]=>[3,5,7,1,8,4,6,2]=>[2,6,4,8,1,7,5,3]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [3,6,2,1,4,5,8,7]=>[3,2,1,6,8,4,5,7]=>[7,5,4,8,6,1,2,3]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [2,5,8,1,7,3,4,6]=>[5,2,1,8,7,3,4,6]=>[6,4,3,7,8,1,2,5]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [6,8,2,7,3,1,4,5]=>[2,6,3,1,8,4,7,5]=>[5,7,4,8,1,3,6,2]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [6,8,2,3,7,1,4,5]=>[6,2,3,1,8,4,7,5]=>[5,7,4,8,1,3,2,6]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [8,6,2,7,4,5,1,3]=>[8,2,6,4,1,7,5,3]=>[3,5,7,1,4,6,2,8]=>[[1,2,3,8],[4,5,6],[7]]=>21 [5,2,8,1,7,3,4,6]=>[5,2,1,8,3,7,4,6]=>[6,4,7,3,8,1,2,5]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [4,2,3,8,1,5,6,7]=>[2,8,4,3,1,5,6,7]=>[7,6,5,1,3,4,8,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>9 [5,2,8,4,6,1,3,7]=>[5,2,8,4,1,6,3,7]=>[7,3,6,1,4,8,2,5]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [5,8,3,2,7,1,4,6]=>[3,5,2,1,8,7,4,6]=>[6,4,7,8,1,2,5,3]=>[[1,3,4],[2,6,7],[5,8]]=>16 [4,1,3,8,2,5,6,7]=>[8,1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>8 [3,5,8,2,7,1,4,6]=>[5,8,7,3,2,1,4,6]=>[6,4,1,2,3,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>14 [2,6,8,3,7,1,4,5]=>[6,2,8,3,1,7,4,5]=>[5,4,7,1,3,8,2,6]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [5,1,8,3,7,2,4,6]=>[1,5,8,3,2,7,4,6]=>[6,4,7,2,3,8,5,1]=>[[1,3,6],[2,5,7],[4],[8]]=>13 [2,1,5,4,8,3,6,7]=>[8,5,2,4,1,3,6,7]=>[7,6,3,1,4,2,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [2,4,3,8,1,5,6,7]=>[8,2,4,3,1,5,6,7]=>[7,6,5,1,3,4,2,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>8 [3,1,8,4,2,5,6,7]=>[1,3,4,2,8,5,6,7]=>[7,6,5,8,2,4,3,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>8 [2,3,8,4,1,5,6,7]=>[2,3,4,1,8,5,6,7]=>[7,6,5,8,1,4,3,2]=>[[1,4],[2,6],[3],[5],[7],[8]]=>8 [3,4,2,8,1,5,6,7]=>[3,8,4,2,1,5,6,7]=>[7,6,5,1,2,4,8,3]=>[[1,5,6,7],[2],[3],[4],[8]]=>9 [2,1,4,8,5,3,6,7]=>[2,4,8,5,1,3,6,7]=>[7,6,3,1,5,8,4,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [3,2,8,4,1,5,6,7]=>[3,2,4,1,8,5,6,7]=>[7,6,5,8,1,4,2,3]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [2,8,4,3,1,5,6,7]=>[4,2,3,1,5,8,6,7]=>[7,6,8,5,1,3,2,4]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [5,7,4,3,8,1,6,2]=>[7,5,4,3,8,1,6,2]=>[2,6,1,8,3,4,5,7]=>[[1,2,4,7,8],[3,5,6]]=>18 [5,7,4,3,8,2,6,1]=>[7,5,4,8,3,2,6,1]=>[1,6,2,3,8,4,5,7]=>[[1,2,4,5,7,8],[3,6]]=>19 [3,8,4,2,6,7,5,1]=>[3,4,6,8,7,2,5,1]=>[1,5,2,7,8,6,4,3]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [3,8,4,1,6,7,5,2]=>[8,3,1,6,7,4,5,2]=>[2,5,4,7,6,1,3,8]=>[[1,2,4,8],[3,5],[6,7]]=>15 [6,1,7,5,2,8,4,3]=>[1,6,7,5,8,2,4,3]=>[3,4,2,8,5,7,6,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [2,6,7,5,3,8,4,1]=>[6,2,7,5,8,3,4,1]=>[1,4,3,8,5,7,2,6]=>[[1,2,4,6],[3,5],[7,8]]=>16 [6,7,4,8,2,5,3,1]=>[6,4,2,7,8,5,3,1]=>[1,3,5,8,7,2,4,6]=>[[1,2,3,4],[5,7,8],[6]]=>21 [3,8,4,2,1,6,7,5]=>[3,4,2,6,8,7,1,5]=>[5,1,7,8,6,2,4,3]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [5,7,4,3,8,2,1,6]=>[7,5,4,8,3,2,1,6]=>[6,1,2,3,8,4,5,7]=>[[1,3,4,5,7,8],[2,6]]=>18 [6,7,4,8,1,2,5,3]=>[1,6,4,2,7,8,5,3]=>[3,5,8,7,2,4,6,1]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [6,7,5,8,1,2,4,3]=>[1,6,2,7,5,8,4,3]=>[3,4,8,5,7,2,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [3,4,8,1,2,5,7,6]=>[3,1,4,8,7,2,5,6]=>[6,5,2,7,8,4,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [6,1,3,4,8,2,5,7]=>[6,3,4,1,2,8,5,7]=>[7,5,8,2,1,4,3,6]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [6,2,3,4,8,1,5,7]=>[6,2,3,4,1,8,5,7]=>[7,5,8,1,4,3,2,6]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [6,7,5,8,2,4,3,1]=>[6,2,7,5,8,4,3,1]=>[1,3,4,8,5,7,2,6]=>[[1,2,3,4,6],[5,8],[7]]=>22 [6,7,5,8,3,1,4,2]=>[6,1,7,5,3,8,4,2]=>[2,4,8,3,5,7,1,6]=>[[1,2,3,6],[4,5],[7,8]]=>21 [2,5,7,6,1,4,8,3]=>[7,5,2,6,4,8,1,3]=>[3,1,8,4,6,2,5,7]=>[[1,3,5,8],[2,4,7],[6]]=>13 [6,7,4,8,1,3,5,2]=>[1,6,4,7,3,8,5,2]=>[2,5,8,3,7,4,6,1]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [6,7,4,8,1,3,2,5]=>[1,6,4,7,3,2,8,5]=>[5,8,2,3,7,4,6,1]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [6,7,5,8,4,1,3,2]=>[6,1,7,5,8,4,3,2]=>[2,3,4,8,5,7,1,6]=>[[1,2,3,4,6],[5,8],[7]]=>22 [6,7,4,8,2,1,3,5]=>[6,4,2,1,7,3,8,5]=>[5,8,3,7,1,2,4,6]=>[[1,2,7,8],[3,4],[5,6]]=>18 [1,4,3,6,5,8,2,7]=>[4,6,8,3,5,1,2,7]=>[7,2,1,5,3,8,6,4]=>[[1,4,6],[2,5,7],[3,8]]=>8 [6,7,8,2,3,5,4,1]=>[2,6,3,7,8,5,4,1]=>[1,4,5,8,7,3,6,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [5,8,6,2,3,7,4,1]=>[2,5,3,8,6,7,4,1]=>[1,4,7,6,8,3,5,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [2,8,3,4,7,5,6,1]=>[2,8,3,4,7,5,6,1]=>[1,6,5,7,4,3,8,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>14 [1,8,3,4,7,6,2,5]=>[8,7,1,6,3,4,2,5]=>[5,2,4,3,6,1,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>13 [8,7,2,3,6,5,4,1]=>[8,7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>21 [3,8,1,7,5,2,6,4]=>[3,1,8,5,7,6,2,4]=>[4,2,6,7,5,8,1,3]=>[[1,3,4,6],[2,5],[7,8]]=>15 [2,1,3,8,4,6,5,7]=>[2,8,1,6,3,4,5,7]=>[7,5,4,3,6,1,8,2]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [8,3,1,5,7,2,6,4]=>[8,3,1,5,7,2,6,4]=>[4,6,2,7,5,1,3,8]=>[[1,2,4,8],[3,5],[6,7]]=>15 [8,4,5,1,7,2,6,3]=>[1,4,5,8,2,7,6,3]=>[3,6,7,2,8,5,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [8,4,5,7,6,3,2,1]=>[8,4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4,8]=>[[1,2,3,4,5,8],[6],[7]]=>23 [1,4,8,5,7,6,2,3]=>[8,4,7,5,1,6,2,3]=>[3,2,6,1,5,7,4,8]=>[[1,3,6,8],[2,5],[4,7]]=>14 [2,4,8,5,7,3,6,1]=>[8,4,7,5,2,3,6,1]=>[1,6,3,2,5,7,4,8]=>[[1,2,5,6,8],[3,7],[4]]=>15 [6,7,2,8,5,3,4,1]=>[6,7,2,3,8,5,4,1]=>[1,4,5,8,3,2,7,6]=>[[1,2,3,4],[5,7],[6,8]]=>20 [3,2,8,7,5,4,6,1]=>[3,8,7,5,2,4,6,1]=>[1,6,4,2,5,7,8,3]=>[[1,2,5,6,7],[3,8],[4]]=>16 [3,1,8,7,5,6,2,4]=>[3,8,7,5,1,6,2,4]=>[4,2,6,1,5,7,8,3]=>[[1,3,6,7],[2,5],[4,8]]=>15 [6,7,1,8,5,4,2,3]=>[6,7,1,8,2,5,4,3]=>[3,4,5,2,8,1,7,6]=>[[1,2,3,5],[4,7],[6,8]]=>19 [7,8,3,2,6,1,4,5]=>[3,7,2,1,4,8,6,5]=>[5,6,8,4,1,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>18 [7,8,1,2,6,3,4,5]=>[1,7,2,3,4,8,6,5]=>[5,6,8,4,3,2,7,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [5,3,8,4,1,6,7,2]=>[3,1,8,5,4,6,7,2]=>[2,7,6,4,5,8,1,3]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [6,2,4,8,1,5,3,7]=>[6,2,1,8,4,5,3,7]=>[7,3,5,4,8,1,2,6]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [3,4,8,5,1,6,7,2]=>[3,4,1,8,5,6,7,2]=>[2,7,6,5,8,1,4,3]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [4,2,6,8,1,5,3,7]=>[2,8,4,6,1,5,3,7]=>[7,3,5,1,6,4,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [7,4,2,8,1,5,3,6]=>[2,4,7,1,5,3,8,6]=>[6,8,3,5,1,7,4,2]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [6,2,1,8,4,5,3,7]=>[2,6,1,8,4,5,3,7]=>[7,3,5,4,8,1,6,2]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [1,2,7,8,5,3,4,6]=>[7,1,2,8,5,3,4,6]=>[6,4,3,5,8,2,1,7]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [6,3,7,8,5,4,1,2]=>[6,7,8,3,1,5,4,2]=>[2,4,5,1,3,8,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>20 [1,7,5,6,8,4,3,2]=>[5,7,6,8,4,3,1,2]=>[2,1,3,4,8,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>17 [3,2,7,8,5,1,4,6]=>[7,3,8,5,2,1,4,6]=>[6,4,1,2,5,8,3,7]=>[[1,4,5,6],[2,7,8],[3]]=>13 [2,3,7,8,5,1,4,6]=>[2,7,8,5,3,1,4,6]=>[6,4,1,3,5,8,7,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [2,7,3,8,5,1,4,6]=>[2,7,8,3,1,5,4,6]=>[6,4,5,1,3,8,7,2]=>[[1,3,6],[2,5,7],[4],[8]]=>13 [3,6,2,8,5,1,4,7]=>[6,3,8,5,2,1,4,7]=>[7,4,1,2,5,8,3,6]=>[[1,4,5,6],[2,7,8],[3]]=>13 [1,4,2,8,7,5,3,6]=>[4,8,7,1,5,2,3,6]=>[6,3,2,5,1,7,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [7,1,6,5,8,4,3,2]=>[7,6,5,8,4,1,3,2]=>[2,3,1,4,8,5,6,7]=>[[1,2,4,5,7,8],[3,6]]=>19 [6,5,7,1,8,4,3,2]=>[6,1,5,7,8,4,3,2]=>[2,3,4,8,7,5,1,6]=>[[1,2,3,4,8],[5],[6],[7]]=>19 [5,7,6,1,8,4,3,2]=>[7,1,5,6,8,4,3,2]=>[2,3,4,8,6,5,1,7]=>[[1,2,3,4,8],[5],[6],[7]]=>19 [6,7,1,5,8,4,3,2]=>[6,7,5,8,1,4,3,2]=>[2,3,4,1,8,5,7,6]=>[[1,2,3,5,7],[4,6],[8]]=>19 [6,7,3,8,5,4,1,2]=>[3,6,7,1,8,5,4,2]=>[2,4,5,8,1,7,6,3]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [7,6,1,5,8,4,3,2]=>[7,6,5,8,1,4,3,2]=>[2,3,4,1,8,5,6,7]=>[[1,2,3,5,7,8],[4,6]]=>20 [7,5,6,1,8,4,3,2]=>[1,7,5,6,8,4,3,2]=>[2,3,4,8,6,5,7,1]=>[[1,2,3,4,7],[5],[6],[8]]=>20 [7,1,6,5,3,2,4,8]=>[7,1,6,3,2,5,4,8]=>[8,4,5,2,3,6,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [1,8,7,4,2,5,3,6]=>[1,2,8,4,7,5,3,6]=>[6,3,5,7,4,8,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>14 [8,7,4,2,5,3,6,1]=>[2,4,5,3,8,7,6,1]=>[1,6,7,8,3,5,4,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [7,1,6,4,2,5,3,8]=>[1,2,7,6,4,5,3,8]=>[8,3,5,4,6,7,2,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>13 [2,6,5,4,7,1,3,8]=>[6,5,4,7,2,1,3,8]=>[8,3,1,2,7,4,5,6]=>[[1,4,5,7,8],[2,6],[3]]=>12 [7,1,5,3,6,4,2,8]=>[1,5,7,6,3,4,2,8]=>[8,2,4,3,6,7,5,1]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [5,3,6,4,2,7,1,8]=>[3,5,6,4,2,7,1,8]=>[8,1,7,2,4,6,5,3]=>[[1,3,5,6],[2],[4],[7],[8]]=>13 [7,4,2,8,6,3,5,1]=>[4,7,2,8,3,6,5,1]=>[1,5,6,3,8,2,7,4]=>[[1,2,3,5],[4,7],[6,8]]=>19 [2,8,7,5,4,6,1,3]=>[5,4,8,7,6,2,1,3]=>[3,1,2,6,7,8,4,5]=>[[1,3,4,5,6],[2,7,8]]=>19 [5,3,8,7,4,2,1,6]=>[8,5,3,7,4,2,1,6]=>[6,1,2,4,7,3,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>18 [8,6,3,5,7,4,2,1]=>[6,3,5,8,7,4,2,1]=>[1,2,4,7,8,5,3,6]=>[[1,2,3,4,5],[6,8],[7]]=>23 [1,8,6,3,5,7,4,2]=>[6,3,5,8,7,4,1,2]=>[2,1,4,7,8,5,3,6]=>[[1,3,4,5],[2,6,8],[7]]=>16 [8,6,3,7,4,2,1,5]=>[6,3,4,2,1,8,7,5]=>[5,7,8,1,2,4,3,6]=>[[1,2,3,8],[4,5,6],[7]]=>21 [2,8,6,4,7,5,1,3]=>[4,6,8,7,5,2,1,3]=>[3,1,2,5,7,8,6,4]=>[[1,3,4,5,6],[2,7],[8]]=>18 [6,3,7,4,1,8,5,2]=>[6,3,1,4,7,8,5,2]=>[2,5,8,7,4,1,3,6]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [6,1,8,7,4,2,5,3]=>[1,8,6,2,7,4,5,3]=>[3,5,4,7,2,6,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [8,6,3,7,4,2,5,1]=>[6,3,4,2,8,7,5,1]=>[1,5,7,8,2,4,3,6]=>[[1,2,3,4],[5,6,8],[7]]=>22 [1,8,6,3,2,4,7,5]=>[3,1,2,6,8,7,4,5]=>[5,4,7,8,6,2,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [8,6,3,2,4,7,5,1]=>[3,2,4,6,8,7,5,1]=>[1,5,7,8,6,4,2,3]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [6,1,8,7,5,3,2,4]=>[6,8,1,7,3,2,5,4]=>[4,5,2,3,7,1,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>18 [4,3,2,8,7,6,1,5]=>[8,4,7,3,6,2,1,5]=>[5,1,2,6,3,7,4,8]=>[[1,3,4,6,8],[2,5,7]]=>15 [2,4,5,1,3,8,7,6]=>[4,5,8,2,7,1,3,6]=>[6,3,1,7,2,8,5,4]=>[[1,4,6],[2,5,7],[3,8]]=>8 [7,5,8,6,3,2,4,1]=>[5,7,3,2,8,6,4,1]=>[1,4,6,8,2,3,7,5]=>[[1,2,3,4],[5,6,7],[8]]=>23 [1,7,5,8,6,3,2,4]=>[5,1,7,8,6,3,2,4]=>[4,2,3,6,8,7,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>16 [1,7,4,2,5,8,6,3]=>[1,4,5,7,8,6,2,3]=>[3,2,6,8,7,5,4,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [8,6,3,1,7,4,2,5]=>[6,1,3,4,2,8,7,5]=>[5,7,8,2,4,3,1,6]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [8,7,4,2,5,3,1,6]=>[2,4,5,3,1,8,7,6]=>[6,7,8,1,3,5,4,2]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [5,3,1,8,7,4,2,6]=>[3,5,8,1,7,4,2,6]=>[6,2,4,7,1,8,5,3]=>[[1,3,4,6],[2,7],[5,8]]=>14 [2,8,6,4,1,3,7,5]=>[6,2,1,4,8,7,3,5]=>[5,3,7,8,4,1,2,6]=>[[1,3,4],[2,5,8],[6,7]]=>14 [6,3,1,8,5,2,7,4]=>[8,3,1,6,2,5,7,4]=>[4,7,5,2,6,1,3,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [7,4,6,3,1,8,5,2]=>[1,7,4,3,6,8,5,2]=>[2,5,8,6,3,4,7,1]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [8,6,3,1,5,7,4,2]=>[6,1,3,5,8,7,4,2]=>[2,4,7,8,5,3,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [4,1,7,5,8,6,3,2]=>[4,7,8,5,6,1,3,2]=>[2,3,1,6,5,8,7,4]=>[[1,2,4,6],[3,5,7],[8]]=>15 [2,3,1,7,5,8,6,4]=>[2,7,8,3,5,6,1,4]=>[4,1,6,5,3,8,7,2]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [7,4,8,5,2,1,6,3]=>[7,4,2,1,5,8,6,3]=>[3,6,8,5,1,2,4,7]=>[[1,2,3,8],[4,6,7],[5]]=>19 [3,6,5,2,1,4,8,7]=>[6,5,3,2,8,1,4,7]=>[7,4,1,8,2,3,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>11 [4,1,8,5,7,3,2,6]=>[8,7,1,4,5,3,2,6]=>[6,2,3,5,4,1,7,8]=>[[1,3,4,7,8],[2],[5],[6]]=>14 [4,1,7,5,8,3,2,6]=>[7,8,1,4,5,3,2,6]=>[6,2,3,5,4,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [4,6,2,7,3,1,8,5]=>[6,4,2,7,3,8,1,5]=>[5,1,8,3,7,2,4,6]=>[[1,3,5,8],[2,4],[6,7]]=>13 [3,7,8,2,4,1,6,5]=>[3,2,7,4,8,6,1,5]=>[5,1,6,8,4,7,2,3]=>[[1,3,4],[2,5,6],[7,8]]=>15 [7,3,4,8,1,6,2,5]=>[7,3,4,1,8,2,6,5]=>[5,6,2,8,1,4,3,7]=>[[1,2,4],[3,6,8],[5,7]]=>16 [5,3,4,8,1,2,7,6]=>[5,3,1,8,4,7,2,6]=>[6,2,7,4,8,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>13 [1,8,5,4,2,3,7,6]=>[1,8,2,5,4,7,3,6]=>[6,3,7,4,5,2,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [4,5,3,8,1,2,7,6]=>[8,4,1,5,3,7,2,6]=>[6,2,7,3,5,1,4,8]=>[[1,3,5,8],[2,4],[6,7]]=>13 [6,4,3,8,1,7,2,5]=>[4,3,6,1,8,2,7,5]=>[5,7,2,8,1,6,3,4]=>[[1,2,4],[3,6,8],[5,7]]=>16 [7,4,3,8,1,6,2,5]=>[4,7,3,1,8,2,6,5]=>[5,6,2,8,1,3,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>17 [6,5,3,8,7,1,2,4]=>[3,6,1,8,5,2,7,4]=>[4,7,2,5,8,1,6,3]=>[[1,2,5],[3,4,7],[6,8]]=>18 [5,6,3,8,7,1,2,4]=>[5,8,3,1,6,2,7,4]=>[4,7,2,6,1,3,8,5]=>[[1,2,7],[3,4,8],[5,6]]=>17 [2,6,8,4,1,7,3,5]=>[6,2,8,4,1,7,3,5]=>[5,3,7,1,4,8,2,6]=>[[1,3,6],[2,5,8],[4,7]]=>14 [6,3,5,8,7,1,2,4]=>[6,8,3,1,5,2,7,4]=>[4,7,2,5,1,3,8,6]=>[[1,2,7],[3,4,8],[5,6]]=>17 [5,2,8,6,7,1,3,4]=>[5,8,6,2,1,3,7,4]=>[4,7,3,1,2,6,8,5]=>[[1,2,6,7],[3,5],[4,8]]=>16 [5,2,8,7,6,1,3,4]=>[8,7,5,2,1,3,6,4]=>[4,6,3,1,2,5,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>17 [6,2,8,7,5,1,3,4]=>[8,6,2,1,7,3,5,4]=>[4,5,3,7,1,2,6,8]=>[[1,2,4,8],[3,6,7],[5]]=>18 [3,4,7,8,1,6,2,5]=>[7,3,8,4,1,6,2,5]=>[5,2,6,1,4,8,3,7]=>[[1,3,6],[2,5,8],[4,7]]=>14 [7,4,6,5,8,1,2,3]=>[7,4,1,6,5,2,8,3]=>[3,8,2,5,6,1,4,7]=>[[1,2,5,8],[3,4],[6,7]]=>19 [1,8,6,7,5,2,3,4]=>[1,6,2,8,7,5,3,4]=>[4,3,5,7,8,2,6,1]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [2,8,7,4,1,3,5,6]=>[4,2,1,3,8,7,5,6]=>[6,5,7,8,3,1,2,4]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [4,8,6,1,3,2,5,7]=>[8,1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [4,2,1,8,7,3,5,6]=>[8,4,2,1,7,3,5,6]=>[6,5,3,7,1,2,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [5,1,6,3,2,8,7,4]=>[5,3,8,1,2,6,7,4]=>[4,7,6,2,1,8,3,5]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [8,7,2,3,5,4,1,6]=>[5,2,3,4,1,8,7,6]=>[6,7,8,1,4,3,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [5,3,1,4,8,7,2,6]=>[8,1,3,5,7,4,2,6]=>[6,2,4,7,5,3,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [4,3,5,2,8,7,1,6]=>[4,8,3,5,7,2,1,6]=>[6,1,2,7,5,3,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>13 [3,7,6,8,1,5,2,4]=>[7,6,3,1,8,5,2,4]=>[4,2,5,8,1,3,6,7]=>[[1,3,4,8],[2,6,7],[5]]=>17 [2,8,6,1,7,3,5,4]=>[2,1,8,6,7,5,3,4]=>[4,3,5,7,6,8,1,2]=>[[1,3,4,6],[2,5],[7,8]]=>15 [1,7,6,3,5,8,2,4]=>[7,6,1,5,8,3,2,4]=>[4,2,3,8,5,1,6,7]=>[[1,3,4,7,8],[2,5],[6]]=>14 [3,7,5,1,6,8,2,4]=>[5,3,7,6,1,8,2,4]=>[4,2,8,1,6,7,3,5]=>[[1,3,6],[2,5,8],[4,7]]=>14 [3,6,7,4,1,8,2,5]=>[6,3,7,4,1,8,2,5]=>[5,2,8,1,4,7,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>14 [1,7,4,6,8,2,5,3]=>[7,4,1,6,8,5,2,3]=>[3,2,5,8,6,1,4,7]=>[[1,3,4,8],[2,5],[6,7]]=>14 [7,5,8,2,6,3,1,4]=>[2,5,7,3,1,8,6,4]=>[4,6,8,1,3,7,5,2]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [7,3,2,6,1,8,5,4]=>[7,3,2,6,8,1,5,4]=>[4,5,1,8,6,2,3,7]=>[[1,2,4,8],[3,5,7],[6]]=>15 [6,4,7,2,3,1,8,5]=>[4,2,6,3,1,7,8,5]=>[5,8,7,1,3,6,2,4]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [3,8,1,6,7,4,2,5]=>[3,1,8,6,7,4,2,5]=>[5,2,4,7,6,8,1,3]=>[[1,3,4,6],[2,5],[7,8]]=>15 [2,8,4,6,1,5,3,7]=>[2,4,8,6,1,5,3,7]=>[7,3,5,1,6,8,4,2]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [8,4,1,6,3,2,5,7]=>[1,4,6,3,2,5,8,7]=>[7,8,5,2,3,6,4,1]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [4,7,3,8,5,2,1,6]=>[4,7,3,8,5,2,1,6]=>[6,1,2,5,8,3,7,4]=>[[1,3,4,5],[2,7],[6,8]]=>17 [7,4,1,6,3,2,8,5]=>[1,4,7,3,2,6,8,5]=>[5,8,6,2,3,7,4,1]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [3,8,6,2,7,4,1,5]=>[3,6,2,8,7,4,1,5]=>[5,1,4,7,8,2,6,3]=>[[1,3,4,5],[2,7],[6,8]]=>17 [7,3,1,4,5,2,8,6]=>[1,3,4,5,2,7,8,6]=>[6,8,7,2,5,4,3,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>11 [8,1,2,4,6,7,5,3]=>[1,8,6,7,2,4,5,3]=>[3,5,4,2,7,6,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [8,1,3,6,7,5,4,2]=>[6,8,7,1,5,3,4,2]=>[2,4,3,5,1,7,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>17 [4,7,5,1,8,6,3,2]=>[7,4,8,1,5,6,3,2]=>[2,3,6,5,1,8,4,7]=>[[1,2,3,6],[4,7,8],[5]]=>17 [8,4,5,7,6,1,3,2]=>[4,5,8,1,7,6,3,2]=>[2,3,6,7,1,8,5,4]=>[[1,2,3,4,6],[5,7],[8]]=>21 [3,8,4,6,1,7,5,2]=>[3,4,6,8,7,1,5,2]=>[2,5,1,7,8,6,4,3]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [8,3,1,4,5,7,6,2]=>[8,1,3,4,5,7,6,2]=>[2,6,7,5,4,3,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>14 [3,5,1,6,8,4,7,2]=>[8,3,5,6,1,4,7,2]=>[2,7,4,1,6,5,3,8]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [6,1,5,7,3,8,4,2]=>[6,5,1,7,8,3,4,2]=>[2,4,3,8,7,1,5,6]=>[[1,2,4,8],[3,5],[6,7]]=>15 [5,8,4,7,3,2,6,1]=>[5,8,7,4,3,2,6,1]=>[1,6,2,3,4,7,8,5]=>[[1,2,4,5,6,7],[3,8]]=>21 [7,2,6,5,8,4,1,3]=>[7,6,5,8,2,1,4,3]=>[3,4,1,2,8,5,6,7]=>[[1,2,5,7,8],[3,4,6]]=>19 [2,6,8,3,7,4,1,5]=>[6,2,8,3,7,4,1,5]=>[5,1,4,7,3,8,2,6]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [7,4,1,8,3,2,6,5]=>[1,4,7,3,8,2,6,5]=>[5,6,2,8,3,7,4,1]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [8,3,7,4,2,1,6,5]=>[3,4,2,8,7,1,6,5]=>[5,6,1,7,8,2,4,3]=>[[1,2,4,5],[3,6,7],[8]]=>18 [3,6,5,8,4,1,7,2]=>[6,8,5,3,1,4,7,2]=>[2,7,4,1,3,5,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>16 [7,3,6,1,8,4,5,2]=>[7,3,6,1,4,8,5,2]=>[2,5,8,4,1,6,3,7]=>[[1,2,3,8],[4,6],[5,7]]=>17 [8,2,7,3,4,6,5,1]=>[8,2,3,7,4,6,5,1]=>[1,5,6,4,7,3,2,8]=>[[1,2,3,5,8],[4],[6],[7]]=>18 [7,3,8,2,5,6,4,1]=>[3,7,2,8,5,6,4,1]=>[1,4,6,5,8,2,7,3]=>[[1,2,3,5],[4,7],[6,8]]=>19 [8,7,1,5,4,2,3,6]=>[1,5,4,2,3,8,7,6]=>[6,7,8,3,2,4,5,1]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [8,7,2,5,4,1,3,6]=>[5,4,2,1,3,8,7,6]=>[6,7,8,3,1,2,4,5]=>[[1,2,3,8],[4,6,7],[5]]=>19 [8,7,2,5,3,1,4,6]=>[2,5,3,1,4,8,7,6]=>[6,7,8,4,1,3,5,2]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [5,2,8,7,1,4,3,6]=>[5,2,8,1,7,4,3,6]=>[6,3,4,7,1,8,2,5]=>[[1,3,4,6],[2,7,8],[5]]=>15 [7,1,8,6,2,4,3,5]=>[1,2,7,8,4,3,6,5]=>[5,6,3,4,8,7,2,1]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [8,1,6,2,7,5,3,4]=>[8,1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [7,1,6,2,8,5,3,4]=>[7,6,1,2,8,3,5,4]=>[4,5,3,8,2,1,6,7]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [6,3,4,1,7,2,8,5]=>[3,1,4,6,2,7,8,5]=>[5,8,7,2,6,4,1,3]=>[[1,2],[3,5],[4,8],[6],[7]]=>12 [7,2,4,3,5,1,8,6]=>[4,2,3,5,1,7,8,6]=>[6,8,7,1,5,3,2,4]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [7,2,8,1,6,5,3,4]=>[7,8,2,1,6,3,5,4]=>[4,5,3,6,1,2,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>17 [7,2,6,4,3,8,1,5]=>[7,2,4,3,6,1,8,5]=>[5,8,1,6,3,4,2,7]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [5,1,7,4,3,8,2,6]=>[5,7,1,4,8,3,2,6]=>[6,2,3,8,4,1,7,5]=>[[1,3,4,7],[2,5],[6,8]]=>13 [5,3,1,7,4,8,2,6]=>[3,1,5,7,8,4,2,6]=>[6,2,4,8,7,5,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [7,4,8,2,1,5,3,6]=>[4,2,7,1,5,3,8,6]=>[6,8,3,5,1,7,2,4]=>[[1,2,6],[3,4,8],[5,7]]=>16 [8,2,4,1,6,3,7,5]=>[8,4,2,1,3,6,7,5]=>[5,7,6,3,1,2,4,8]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [8,2,7,5,1,6,4,3]=>[2,5,8,7,6,1,4,3]=>[3,4,1,6,7,8,5,2]=>[[1,2,4,5,6],[3,7],[8]]=>19 [6,1,7,3,2,8,5,4]=>[6,1,3,7,8,2,5,4]=>[4,5,2,8,7,3,1,6]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [6,2,1,5,3,8,4,7]=>[6,2,5,1,3,8,4,7]=>[7,4,8,3,1,5,2,6]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [5,3,1,6,2,8,4,7]=>[1,3,5,6,2,8,4,7]=>[7,4,8,2,6,5,3,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>10 [6,1,5,2,8,4,3,7]=>[1,6,5,8,2,4,3,7]=>[7,3,4,2,8,5,6,1]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [7,4,3,8,1,5,2,6]=>[4,3,7,1,5,2,8,6]=>[6,8,2,5,1,7,3,4]=>[[1,2,6],[3,4,8],[5,7]]=>16 [6,1,5,3,2,8,4,7]=>[3,6,5,1,2,8,4,7]=>[7,4,8,2,1,5,6,3]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [6,3,2,8,4,1,5,7]=>[6,3,2,4,1,8,5,7]=>[7,5,8,1,4,2,3,6]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [7,3,4,2,8,5,1,6]=>[3,4,7,2,5,1,8,6]=>[6,8,1,5,2,7,4,3]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [8,5,1,3,7,4,2,6]=>[5,1,8,3,4,2,7,6]=>[6,7,2,4,3,8,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [3,8,6,1,5,2,7,4]=>[3,1,6,5,8,7,2,4]=>[4,2,7,8,5,6,1,3]=>[[1,3,4],[2,5,6],[7,8]]=>15 [8,6,1,3,7,5,2,4]=>[3,8,6,1,2,7,5,4]=>[4,5,7,2,1,6,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>18 [6,7,1,3,8,5,2,4]=>[3,6,7,1,2,8,5,4]=>[4,5,8,2,1,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [3,6,7,1,5,2,8,4]=>[6,3,1,7,5,8,2,4]=>[4,2,8,5,7,1,3,6]=>[[1,3,5],[2,4,8],[6,7]]=>13 [7,1,3,8,4,2,6,5]=>[3,7,4,8,1,2,6,5]=>[5,6,2,1,8,4,7,3]=>[[1,2,5],[3,6,7],[4,8]]=>13 [5,6,2,7,1,3,8,4]=>[2,5,1,6,3,7,8,4]=>[4,8,7,3,6,1,5,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>13 [5,6,2,8,1,3,7,4]=>[2,5,1,6,8,3,7,4]=>[4,7,3,8,6,1,5,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [6,1,8,3,7,5,2,4]=>[8,6,7,1,3,2,5,4]=>[4,5,2,3,1,7,6,8]=>[[1,2,6,8],[3,4,7],[5]]=>16 [7,4,2,1,5,8,3,6]=>[2,1,4,5,7,3,8,6]=>[6,8,3,7,5,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>13 [7,4,1,5,8,3,2,6]=>[4,5,7,1,3,2,8,6]=>[6,8,2,3,1,7,5,4]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [6,4,2,7,3,8,1,5]=>[2,4,6,3,7,1,8,5]=>[5,8,1,7,3,6,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [7,4,8,3,1,5,2,6]=>[1,7,4,3,5,2,8,6]=>[6,8,2,5,3,4,7,1]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [6,1,8,4,5,2,7,3]=>[8,1,6,4,2,5,7,3]=>[3,7,5,2,4,6,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [7,1,6,4,5,2,8,3]=>[7,1,6,4,2,5,8,3]=>[3,8,5,2,4,6,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [3,5,2,7,1,6,8,4]=>[5,7,3,2,6,8,1,4]=>[4,1,8,6,2,3,7,5]=>[[1,3,6,7],[2,4,8],[5]]=>11 [4,5,7,3,1,6,8,2]=>[7,4,1,5,3,6,8,2]=>[2,8,6,3,5,1,4,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [3,5,1,7,2,6,8,4]=>[5,3,7,1,6,8,2,4]=>[4,2,8,6,1,7,3,5]=>[[1,3,6],[2,4,8],[5,7]]=>10 [4,5,7,2,8,1,3,6]=>[7,4,5,2,1,8,3,6]=>[6,3,8,1,2,5,4,7]=>[[1,3,6,8],[2,5],[4,7]]=>14 [4,6,7,2,1,5,8,3]=>[6,4,2,7,1,5,8,3]=>[3,8,5,1,7,2,4,6]=>[[1,2,5,8],[3,6,7],[4]]=>14 [3,2,1,7,4,8,5,6]=>[7,3,8,2,1,4,5,6]=>[6,5,4,1,2,8,3,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [4,1,5,2,7,6,3,8]=>[4,7,1,2,5,6,3,8]=>[8,3,6,5,2,1,7,4]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [2,5,1,3,7,6,4,8]=>[2,7,1,5,6,3,4,8]=>[8,4,3,6,5,1,7,2]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [3,7,2,1,5,8,6,4]=>[3,2,5,7,8,6,1,4]=>[4,1,6,8,7,5,2,3]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [3,7,4,2,1,8,5,6]=>[3,4,2,7,1,8,5,6]=>[6,5,8,1,7,2,4,3]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [7,2,5,3,1,8,6,4]=>[2,3,1,7,8,5,6,4]=>[4,6,5,8,7,1,3,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [7,5,4,1,3,8,6,2]=>[5,1,4,3,7,8,6,2]=>[2,6,8,7,3,4,1,5]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [5,3,2,1,7,6,4,8]=>[3,2,7,1,5,6,4,8]=>[8,4,6,5,1,7,2,3]=>[[1,3,6],[2,7,8],[4],[5]]=>10 [6,3,2,8,1,5,7,4]=>[3,6,8,2,1,5,7,4]=>[4,7,5,1,2,8,6,3]=>[[1,2,6],[3,5,7],[4,8]]=>14 [7,4,3,2,8,1,6,5]=>[4,3,7,2,8,1,6,5]=>[5,6,1,8,2,7,3,4]=>[[1,2,4,8],[3,5,6],[7]]=>16 [7,6,2,4,8,3,5,1]=>[2,7,4,6,3,8,5,1]=>[1,5,8,3,6,4,7,2]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [7,3,6,4,8,1,5,2]=>[3,7,4,1,6,8,5,2]=>[2,5,8,6,1,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [2,7,5,3,8,1,4,6]=>[7,5,2,3,1,8,4,6]=>[6,4,8,1,3,2,5,7]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [8,6,3,2,7,5,4,1]=>[8,3,2,6,7,5,4,1]=>[1,4,5,7,6,2,3,8]=>[[1,2,3,4,8],[5,7],[6]]=>21 [8,3,2,7,1,6,4,5]=>[3,8,7,2,1,4,6,5]=>[5,6,4,1,2,7,8,3]=>[[1,2,6,7],[3,5,8],[4]]=>16 [8,5,7,4,3,6,2,1]=>[8,5,4,3,7,6,2,1]=>[1,2,6,7,3,4,5,8]=>[[1,2,3,4,7,8],[5,6]]=>24 [2,8,5,6,1,4,3,7]=>[5,2,8,6,1,4,3,7]=>[7,3,4,1,6,8,2,5]=>[[1,3,5,6],[2,7,8],[4]]=>14 [7,6,4,8,3,2,5,1]=>[4,7,6,3,2,8,5,1]=>[1,5,8,2,3,6,7,4]=>[[1,2,3,6,7],[4,5],[8]]=>22 [5,4,8,3,2,1,7,6]=>[8,5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5,8]=>[[1,3,5,6,7,8],[2,4]]=>16 [4,3,7,2,1,6,5,8]=>[7,4,3,2,6,1,5,8]=>[8,5,1,6,2,3,4,7]=>[[1,4,6,7,8],[2,5],[3]]=>11 [2,5,8,1,4,3,7,6]=>[2,5,4,8,7,1,3,6]=>[6,3,1,7,8,4,5,2]=>[[1,4,5],[2,6,7],[3,8]]=>11 [3,6,8,2,1,5,7,4]=>[3,2,8,6,5,7,1,4]=>[4,1,7,5,6,8,2,3]=>[[1,3,5,6],[2,4,8],[7]]=>14 [5,7,4,8,1,3,6,2]=>[7,5,4,1,8,3,6,2]=>[2,6,3,8,1,4,5,7]=>[[1,2,4,7,8],[3,6],[5]]=>18 [5,7,1,4,8,2,6,3]=>[1,5,7,4,8,2,6,3]=>[3,6,2,8,4,7,5,1]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [6,1,2,7,8,3,5,4]=>[6,1,7,8,2,3,5,4]=>[4,5,3,2,8,7,1,6]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [4,2,8,7,3,5,1,6]=>[2,8,7,4,3,5,1,6]=>[6,1,5,3,4,7,8,2]=>[[1,3,5,6,7],[2],[4],[8]]=>15 [4,8,1,7,6,2,3,5]=>[1,8,4,2,7,6,3,5]=>[5,3,6,7,2,4,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [6,8,1,4,7,5,2,3]=>[6,8,4,1,2,7,5,3]=>[3,5,7,2,1,4,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>18 [7,3,8,1,6,4,2,5]=>[3,1,7,8,4,2,6,5]=>[5,6,2,4,8,7,1,3]=>[[1,2,5],[3,4,6],[7,8]]=>17 [4,7,8,1,5,3,2,6]=>[7,1,4,8,5,3,2,6]=>[6,2,3,5,8,4,1,7]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [5,8,7,1,3,6,4,2]=>[5,8,1,7,3,6,4,2]=>[2,4,6,3,7,1,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>19 [3,8,7,2,1,6,4,5]=>[3,8,2,1,7,6,4,5]=>[5,4,6,7,1,2,8,3]=>[[1,3,4,7],[2,6,8],[5]]=>16 [2,8,7,1,6,3,5,4]=>[2,8,7,1,6,5,3,4]=>[4,3,5,6,1,7,8,2]=>[[1,3,4,6,7],[2,8],[5]]=>16 [5,7,8,4,3,1,2,6]=>[7,1,8,5,4,3,2,6]=>[6,2,3,4,5,8,1,7]=>[[1,3,4,5,6],[2,8],[7]]=>19 [5,8,6,4,3,2,1,7]=>[5,8,6,4,3,2,1,7]=>[7,1,2,3,4,6,8,5]=>[[1,3,4,5,6,7],[2],[8]]=>20 [6,1,4,2,5,3,7,8]=>[1,2,6,4,5,3,7,8]=>[8,7,3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>8 [1,3,7,5,4,2,8,6]=>[7,3,5,4,8,1,2,6]=>[6,2,1,8,4,5,3,7]=>[[1,4,6,8],[2,5],[3,7]]=>9 [6,1,3,5,4,2,7,8]=>[6,1,5,3,4,2,7,8]=>[8,7,2,4,3,5,1,6]=>[[1,4,6,8],[2],[3],[5],[7]]=>9 [5,1,6,3,4,7,8,2]=>[5,1,6,3,4,7,8,2]=>[2,8,7,4,3,6,1,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [5,2,6,3,4,7,1,8]=>[5,2,3,6,4,7,1,8]=>[8,1,7,4,6,3,2,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [3,4,7,5,8,6,1,2]=>[3,7,8,4,5,1,6,2]=>[2,6,1,5,4,8,7,3]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [2,4,7,1,5,3,8,6]=>[4,2,7,5,8,1,3,6]=>[6,3,1,8,5,7,2,4]=>[[1,4,6],[2,5,8],[3,7]]=>9 [1,3,6,7,4,8,5,2]=>[6,3,7,8,4,5,1,2]=>[2,1,5,4,8,7,3,6]=>[[1,3,5],[2,4,6],[7,8]]=>11 [2,7,6,5,3,1,8,4]=>[2,7,6,5,3,8,1,4]=>[4,1,8,3,5,6,7,2]=>[[1,3,5,6,7],[2,4],[8]]=>15 [5,2,6,1,4,7,8,3]=>[5,2,6,1,4,7,8,3]=>[3,8,7,4,1,6,2,5]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [4,7,6,5,2,1,8,3]=>[7,6,4,2,1,5,8,3]=>[3,8,5,1,2,4,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>17 [6,3,1,5,4,7,8,2]=>[6,1,3,5,4,7,8,2]=>[2,8,7,4,5,3,1,6]=>[[1,2,5,8],[3],[4],[6],[7]]=>12 [1,7,4,2,6,3,8,5]=>[7,1,4,2,6,8,3,5]=>[5,3,8,6,2,4,1,7]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [6,4,1,2,5,3,7,8]=>[1,2,4,6,5,3,7,8]=>[8,7,3,5,6,4,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>9 [4,7,6,3,8,5,1,2]=>[7,6,4,8,3,1,5,2]=>[2,5,1,3,8,4,6,7]=>[[1,2,5,7,8],[3,4,6]]=>19 [3,7,6,5,2,8,1,4]=>[7,6,5,3,8,2,1,4]=>[4,1,2,8,3,5,6,7]=>[[1,3,4,6,7,8],[2,5]]=>17 [2,7,6,5,8,1,4,3]=>[7,6,5,2,8,4,1,3]=>[3,1,4,8,2,5,6,7]=>[[1,3,4,7,8],[2,5,6]]=>17 [9,1,2,3,4,5,6,8,7]=>[9,1,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,1,9]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>9 [10,1,2,3,4,5,6,7,9,8]=>[10,1,2,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,2,1,10]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>10 [2,3,4,5,6,7,8,10,9,1]=>[10,2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2,10]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>10 [8,2,7,6,1,5,4,3]=>[8,2,7,6,5,1,4,3]=>[3,4,1,5,6,7,2,8]=>[[1,2,4,5,6,8],[3,7]]=>20 [8,4,1,7,6,5,3,2]=>[8,7,1,6,4,5,3,2]=>[2,3,5,4,6,1,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>20 [4,5,3,2,7,8,1,6]=>[4,5,3,7,8,2,1,6]=>[6,1,2,8,7,3,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [2,3,4,7,5,8,1,6]=>[2,7,8,3,4,5,1,6]=>[6,1,5,4,3,8,7,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [6,3,4,7,8,2,5,1]=>[3,4,6,7,2,8,5,1]=>[1,5,8,2,7,6,4,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [5,3,7,4,8,6,1,2]=>[5,3,7,8,4,1,6,2]=>[2,6,1,4,8,7,3,5]=>[[1,2,5],[3,4,6],[7,8]]=>17 [8,3,6,4,1,7,2,5]=>[3,1,4,8,6,2,7,5]=>[5,7,2,6,8,4,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [5,7,6,2,8,4,1,3]=>[5,7,2,6,1,8,4,3]=>[3,4,8,1,6,2,7,5]=>[[1,2,3,7],[4,5,8],[6]]=>19 [6,1,7,5,8,3,4,2]=>[6,7,5,1,8,3,4,2]=>[2,4,3,8,1,5,7,6]=>[[1,2,4,7],[3,6],[5,8]]=>17 [4,1,3,7,6,5,8,2]=>[7,4,6,1,3,5,8,2]=>[2,8,5,3,1,6,4,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [3,4,1,7,5,8,6,2]=>[7,3,8,1,4,5,6,2]=>[2,6,5,4,1,8,3,7]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [6,8,5,1,7,2,4,3]=>[1,6,2,8,5,7,4,3]=>[3,4,7,5,8,2,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [7,8,3,6,2,1,4,5]=>[7,3,2,1,4,8,6,5]=>[5,6,8,4,1,2,3,7]=>[[1,2,3,8],[4,6,7],[5]]=>19 [1,8,7,2,3,5,6,4]=>[1,8,2,5,7,6,3,4]=>[4,3,6,7,5,2,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [2,8,3,1,6,7,5,4]=>[2,8,3,6,7,5,1,4]=>[4,1,5,7,6,3,8,2]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [8,2,3,1,5,7,6,4]=>[2,8,3,7,1,5,6,4]=>[4,6,5,1,7,3,8,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [3,8,4,1,2,7,6,5]=>[3,8,1,4,7,6,2,5]=>[5,2,6,7,4,1,8,3]=>[[1,3,4,7],[2,5],[6,8]]=>13 [5,4,7,2,3,6,8,1]=>[5,2,7,4,3,6,8,1]=>[1,8,6,3,4,7,2,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [6,4,1,3,2,7,8,5]=>[4,1,3,2,6,7,8,5]=>[5,8,7,6,2,3,1,4]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [2,7,8,5,1,3,6,4]=>[2,1,7,5,8,6,3,4]=>[4,3,6,8,5,7,1,2]=>[[1,3,4],[2,5,6],[7,8]]=>15 [2,8,5,4,7,6,1,3]=>[5,8,4,7,6,2,1,3]=>[3,1,2,6,7,4,8,5]=>[[1,3,4,5,7],[2,6,8]]=>17 [4,8,7,6,2,3,5,1]=>[2,8,7,6,4,3,5,1]=>[1,5,3,4,6,7,8,2]=>[[1,2,4,5,6,7],[3],[8]]=>21 [6,5,7,3,8,2,1,4]=>[6,5,3,7,2,1,8,4]=>[4,8,1,2,7,3,5,6]=>[[1,2,5,7,8],[3,4],[6]]=>19 [8,1,4,7,2,5,6,3]=>[8,4,1,2,7,5,6,3]=>[3,6,5,7,2,1,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [4,2,6,8,3,1,5,7]=>[8,4,2,6,3,1,5,7]=>[7,5,1,3,6,2,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [3,7,6,2,4,5,1,8]=>[3,2,7,6,4,5,1,8]=>[8,1,5,4,6,7,2,3]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [2,3,6,5,8,1,4,7]=>[6,8,5,2,3,1,4,7]=>[7,4,1,3,2,5,8,6]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [2,3,5,8,6,1,4,7]=>[5,8,6,2,3,1,4,7]=>[7,4,1,3,2,6,8,5]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [6,4,1,2,8,3,5,7]=>[4,1,2,6,3,8,5,7]=>[7,5,8,3,6,2,1,4]=>[[1,3],[2,5],[4,8],[6],[7]]=>11 [1,2,3,7,4,6,8,5]=>[7,1,6,8,2,3,4,5]=>[5,4,3,2,8,6,1,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [3,2,7,1,4,5,8,6]=>[3,2,1,7,8,4,5,6]=>[6,5,4,8,7,1,2,3]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [2,1,5,3,8,7,4,6]=>[8,5,7,2,1,3,4,6]=>[6,4,3,1,2,7,5,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [5,8,3,2,4,1,6,7]=>[3,2,5,4,1,8,6,7]=>[7,6,8,1,4,5,2,3]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [4,2,7,1,8,3,5,6]=>[7,4,2,1,8,3,5,6]=>[6,5,3,8,1,2,4,7]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [4,1,8,2,7,3,5,6]=>[1,4,2,8,7,3,5,6]=>[6,5,3,7,8,2,4,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [1,2,7,5,3,8,4,6]=>[7,5,1,2,8,3,4,6]=>[6,4,3,8,2,1,5,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [3,2,7,1,4,8,5,6]=>[3,2,7,1,8,4,5,6]=>[6,5,4,8,1,7,2,3]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [1,2,3,7,6,8,4,5]=>[7,6,1,8,2,3,4,5]=>[5,4,3,2,8,1,6,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [1,2,3,6,8,7,4,5]=>[8,6,1,7,2,3,4,5]=>[5,4,3,2,7,1,6,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [1,2,3,7,8,4,6,5]=>[1,7,8,6,2,3,4,5]=>[5,4,3,2,6,8,7,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [1,2,3,6,8,4,7,5]=>[6,8,1,7,2,3,4,5]=>[5,4,3,2,7,1,8,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [1,2,3,7,8,6,4,5]=>[7,1,8,6,2,3,4,5]=>[5,4,3,2,6,8,1,7]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [6,2,8,3,7,5,1,4]=>[8,2,6,7,3,1,5,4]=>[4,5,1,3,7,6,2,8]=>[[1,2,5,8],[3,4,6],[7]]=>17 [5,3,4,8,7,2,6,1]=>[8,3,5,7,4,2,6,1]=>[1,6,2,4,7,5,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>17 [4,3,5,8,7,2,6,1]=>[8,4,7,3,5,2,6,1]=>[1,6,2,5,3,7,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [4,6,3,8,5,7,2,1]=>[6,8,4,3,5,7,2,1]=>[1,2,7,5,3,4,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>18 [7,5,3,8,6,2,4,1]=>[3,5,7,2,8,6,4,1]=>[1,4,6,8,2,7,5,3]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [2,5,8,3,7,4,6,1]=>[5,2,8,7,3,4,6,1]=>[1,6,4,3,7,8,2,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [3,5,4,8,7,2,6,1]=>[8,5,7,3,4,2,6,1]=>[1,6,2,4,3,7,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [3,6,7,8,4,5,2,1]=>[6,7,3,8,4,5,2,1]=>[1,2,5,4,8,3,7,6]=>[[1,2,3,5],[4,7],[6,8]]=>19 [2,6,8,5,4,7,3,1]=>[8,6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6,8]=>[[1,2,4,6,7,8],[3,5]]=>18 [1,8,5,6,4,7,3,2]=>[5,6,4,8,7,3,1,2]=>[2,1,3,7,8,4,6,5]=>[[1,3,4,5],[2,6,7],[8]]=>17 [2,5,8,6,4,7,3,1]=>[5,8,6,4,7,2,3,1]=>[1,3,2,7,4,6,8,5]=>[[1,2,4,6,7],[3,5],[8]]=>17 [7,4,6,5,8,3,2,1]=>[7,4,6,5,8,3,2,1]=>[1,2,3,8,5,6,4,7]=>[[1,2,3,4,6,8],[5],[7]]=>22 [5,2,8,6,4,7,3,1]=>[5,8,6,2,4,7,3,1]=>[1,3,7,4,2,6,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>18 [3,2,8,6,7,4,5,1]=>[6,8,7,3,2,4,5,1]=>[1,5,4,2,3,7,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>16 [7,2,8,6,3,4,5,1]=>[2,7,3,8,4,6,5,1]=>[1,5,6,4,8,3,7,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [4,3,6,8,5,7,2,1]=>[8,4,6,3,5,7,2,1]=>[1,2,7,5,3,6,4,8]=>[[1,2,3,6,8],[4,7],[5]]=>17 [3,4,6,8,7,2,5,1]=>[8,6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [5,7,4,6,8,3,2,1]=>[7,5,4,6,8,3,2,1]=>[1,2,3,8,6,4,5,7]=>[[1,2,3,4,7,8],[5],[6]]=>21 [3,6,5,8,4,7,2,1]=>[6,8,5,3,4,7,2,1]=>[1,2,7,4,3,5,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>18 [2,6,8,4,5,7,3,1]=>[4,8,6,5,7,2,3,1]=>[1,3,2,7,5,6,8,4]=>[[1,2,4,6,7],[3,5],[8]]=>17 [4,2,7,1,3,8,5,6]=>[2,7,4,1,8,3,5,6]=>[6,5,3,8,1,4,7,2]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [4,2,5,1,3,8,6,7]=>[2,4,5,1,8,3,6,7]=>[7,6,3,8,1,5,4,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>8 [5,3,6,1,7,2,4,8]=>[3,1,5,6,2,7,4,8]=>[8,4,7,2,6,5,1,3]=>[[1,3],[2,5],[4,8],[6],[7]]=>11 [3,7,1,2,5,8,6,4]=>[1,3,5,7,8,6,2,4]=>[4,2,6,8,7,5,3,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [3,7,4,1,2,8,5,6]=>[3,1,4,7,2,8,5,6]=>[6,5,8,2,7,4,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>11 [6,4,2,3,7,1,5,8]=>[2,4,3,6,1,7,5,8]=>[8,5,7,1,6,3,4,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [7,6,3,8,1,2,5,4]=>[1,7,3,2,6,8,5,4]=>[4,5,8,6,2,3,7,1]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [4,7,5,2,8,1,3,6]=>[4,7,5,2,1,8,3,6]=>[6,3,8,1,2,5,7,4]=>[[1,3,6,7],[2,5],[4,8]]=>15 [8,6,1,2,7,4,5,3]=>[8,1,6,2,4,7,5,3]=>[3,5,7,4,2,6,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [8,4,7,1,2,3,6,5]=>[1,2,4,8,7,3,6,5]=>[5,6,3,7,8,4,2,1]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [8,5,7,1,3,4,6,2]=>[1,5,3,8,4,7,6,2]=>[2,6,7,4,8,3,5,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [8,6,2,7,1,3,5,4]=>[2,1,3,8,6,7,5,4]=>[4,5,7,6,8,3,1,2]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [3,7,5,8,1,2,4,6]=>[7,1,8,3,2,5,4,6]=>[6,4,5,2,3,8,1,7]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [7,6,4,8,1,3,5,2]=>[1,4,7,6,3,8,5,2]=>[2,5,8,3,6,7,4,1]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [6,5,8,1,2,4,7,3]=>[6,1,5,2,8,4,7,3]=>[3,7,4,8,2,5,1,6]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [3,7,2,4,8,1,6,5]=>[3,7,2,4,8,6,1,5]=>[5,1,6,8,4,2,7,3]=>[[1,3,4],[2,5,7],[6,8]]=>13 [4,6,3,8,1,2,5,7]=>[6,1,8,4,3,2,5,7]=>[7,5,2,3,4,8,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [4,1,7,8,2,3,6,5]=>[1,7,4,8,2,6,3,5]=>[5,3,6,2,8,4,7,1]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [5,1,2,8,6,3,4,7]=>[5,1,8,2,3,6,4,7]=>[7,4,6,3,2,8,1,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [6,1,8,5,2,3,4,7]=>[1,6,2,3,8,5,4,7]=>[7,4,5,8,3,2,6,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [6,1,7,5,2,3,4,8]=>[1,6,2,7,3,5,4,8]=>[8,4,5,3,7,2,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [6,8,1,3,7,4,5,2]=>[6,1,8,3,4,7,5,2]=>[2,5,7,4,3,8,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [6,8,2,7,1,4,5,3]=>[6,8,2,1,4,7,5,3]=>[3,5,7,4,1,2,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>18 [4,8,7,1,3,5,6,2]=>[1,8,4,3,7,5,6,2]=>[2,6,5,7,3,4,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [3,8,7,1,2,4,6,5]=>[1,3,8,2,7,6,4,5]=>[5,4,6,7,2,8,3,1]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [4,8,7,1,2,3,6,5]=>[1,2,4,8,7,6,3,5]=>[5,3,6,7,8,4,2,1]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [5,8,7,1,3,4,6,2]=>[1,5,3,8,7,4,6,2]=>[2,6,4,7,8,3,5,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [7,1,8,6,2,3,5,4]=>[1,2,7,8,6,3,5,4]=>[4,5,3,6,8,7,2,1]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [7,8,1,2,6,5,3,4]=>[7,1,8,2,3,6,5,4]=>[4,5,6,3,2,8,1,7]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [6,1,3,4,7,2,5,8]=>[3,4,6,1,2,7,5,8]=>[8,5,7,2,1,6,4,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>9 [7,8,2,1,6,3,5,4]=>[7,2,8,1,3,6,5,4]=>[4,5,6,3,1,8,2,7]=>[[1,2,3,6],[4,7,8],[5]]=>17 [5,1,7,3,6,4,8,2]=>[5,7,1,6,3,4,8,2]=>[2,8,4,3,6,1,7,5]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [6,2,3,7,4,1,5,8]=>[6,2,3,4,1,7,5,8]=>[8,5,7,1,4,3,2,6]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [3,4,8,7,5,6,1,2]=>[3,8,7,4,5,1,6,2]=>[2,6,1,5,4,7,8,3]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [2,3,8,7,4,1,5,6]=>[2,3,8,7,4,1,5,6]=>[6,5,1,4,7,8,3,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>12 [1,8,3,7,6,4,5,2]=>[3,8,7,4,6,5,1,2]=>[2,1,5,6,4,7,8,3]=>[[1,3,4,6,7],[2,5],[8]]=>16 [4,6,7,5,2,1,8,3]=>[6,7,4,2,1,5,8,3]=>[3,8,5,1,2,4,7,6]=>[[1,2,6,7],[3,5,8],[4]]=>16 [6,3,1,4,5,7,8,2]=>[1,3,4,6,5,7,8,2]=>[2,8,7,5,6,4,3,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>11 [5,3,1,4,6,2,7,8]=>[1,3,5,4,6,2,7,8]=>[8,7,2,6,4,5,3,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>8 [4,8,1,2,6,7,3,5]=>[4,6,1,2,8,7,3,5]=>[5,3,7,8,2,1,6,4]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [4,1,7,8,2,6,3,5]=>[7,4,1,8,2,6,3,5]=>[5,3,6,2,8,1,4,7]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [1,2,8,7,6,5,3,4]=>[1,8,7,6,5,2,3,4]=>[4,3,2,5,6,7,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>14 [3,2,8,5,4,7,1,6]=>[3,5,8,7,2,4,1,6]=>[6,1,4,2,7,8,5,3]=>[[1,3,5,6],[2,7],[4,8]]=>13 [4,2,8,1,5,3,7,6]=>[4,8,2,1,5,7,3,6]=>[6,3,7,5,1,2,8,4]=>[[1,3,7],[2,4,8],[5,6]]=>11 [4,3,8,5,7,6,1,2]=>[4,8,7,3,5,1,6,2]=>[2,6,1,5,3,7,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>17 [4,8,2,1,6,3,7,5]=>[2,4,1,6,8,7,3,5]=>[5,3,7,8,6,1,4,2]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [3,8,6,5,2,7,1,4]=>[6,5,3,8,7,2,1,4]=>[4,1,2,7,8,3,5,6]=>[[1,3,4,5,8],[2,6,7]]=>18 [3,8,5,6,1,7,4,2]=>[5,3,6,8,7,1,4,2]=>[2,4,1,7,8,6,3,5]=>[[1,2,4,5],[3,6,8],[7]]=>17 [3,5,7,8,1,2,6,4]=>[7,1,8,5,3,6,2,4]=>[4,2,6,3,5,8,1,7]=>[[1,3,5,6],[2,4,8],[7]]=>14 [3,7,8,5,2,1,6,4]=>[7,5,3,2,8,6,1,4]=>[4,1,6,8,2,3,5,7]=>[[1,3,4,7,8],[2,5,6]]=>17 [3,7,2,8,4,1,6,5]=>[7,3,2,4,8,6,1,5]=>[5,1,6,8,4,2,3,7]=>[[1,3,4,8],[2,5,7],[6]]=>14 [2,8,7,5,1,6,4,3]=>[2,5,8,7,6,4,1,3]=>[3,1,4,6,7,8,5,2]=>[[1,3,4,5,6],[2,7],[8]]=>18 [2,8,6,7,5,1,4,3]=>[6,2,8,7,5,4,1,3]=>[3,1,4,5,7,8,2,6]=>[[1,3,4,5,6],[2,7,8]]=>19 [8,6,1,4,2,3,7,5]=>[1,4,2,3,6,8,7,5]=>[5,7,8,6,3,2,4,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [1,6,8,4,3,7,2,5]=>[8,6,1,4,7,3,2,5]=>[5,2,3,7,4,1,6,8]=>[[1,3,4,7,8],[2,5],[6]]=>14 [6,1,7,4,3,8,2,5]=>[6,4,3,7,1,2,8,5]=>[5,8,2,1,7,3,4,6]=>[[1,2,7,8],[3,5],[4,6]]=>14 [7,4,1,3,8,2,6,5]=>[4,7,1,3,8,2,6,5]=>[5,6,2,8,3,1,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>14 [4,8,2,3,1,5,7,6]=>[2,4,3,8,1,7,5,6]=>[6,5,7,1,8,3,4,2]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [4,8,6,2,1,3,7,5]=>[2,1,6,4,8,7,3,5]=>[5,3,7,8,4,6,1,2]=>[[1,3,4],[2,5,6],[7,8]]=>15 [4,7,1,3,8,2,6,5]=>[4,7,1,3,8,6,2,5]=>[5,2,6,8,3,1,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>13 [8,7,1,3,4,2,6,5]=>[3,4,8,1,2,7,6,5]=>[5,6,7,2,1,8,4,3]=>[[1,2,3,6],[4,7],[5,8]]=>16 [1,7,4,3,6,2,8,5]=>[4,7,6,1,3,8,2,5]=>[5,2,8,3,1,6,7,4]=>[[1,3,6,7],[2,4],[5,8]]=>11 [2,4,3,7,5,8,1,6]=>[7,4,8,2,3,5,1,6]=>[6,1,5,3,2,8,4,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [1,4,7,3,6,2,8,5]=>[4,7,6,3,8,1,2,5]=>[5,2,1,8,3,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>10 [2,8,5,7,3,4,1,6]=>[2,8,7,3,5,4,1,6]=>[6,1,4,5,3,7,8,2]=>[[1,3,4,6,7],[2],[5],[8]]=>16 [8,2,3,5,4,7,1,6]=>[5,8,2,3,4,1,7,6]=>[6,7,1,4,3,2,8,5]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [6,1,8,3,4,2,7,5]=>[3,6,4,8,1,2,7,5]=>[5,7,2,1,8,4,6,3]=>[[1,2,5],[3,6,7],[4,8]]=>13 [1,8,6,4,2,3,7,5]=>[1,6,2,4,8,7,3,5]=>[5,3,7,8,4,2,6,1]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [3,8,4,5,6,2,1,7]=>[3,4,5,8,6,2,1,7]=>[7,1,2,6,8,5,4,3]=>[[1,3,4,5],[2],[6],[7],[8]]=>15 [7,3,8,1,2,6,4,5]=>[1,3,7,2,8,4,6,5]=>[5,6,4,8,2,7,3,1]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [7,1,4,5,3,2,6,8]=>[4,5,3,1,2,7,6,8]=>[8,6,7,2,1,3,5,4]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [1,8,4,2,6,5,3,7]=>[8,1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>11 [6,3,1,2,5,7,4,8]=>[1,3,6,2,5,7,4,8]=>[8,4,7,5,2,6,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [7,5,3,6,4,8,2,1]=>[3,5,7,6,4,8,2,1]=>[1,2,8,4,6,7,5,3]=>[[1,2,3,5,6],[4],[7],[8]]=>20 [7,3,6,4,5,8,2,1]=>[3,7,4,6,5,8,2,1]=>[1,2,8,5,6,4,7,3]=>[[1,2,3,5,7],[4],[6],[8]]=>19 [8,7,2,4,5,1,6,3]=>[2,4,1,8,5,7,6,3]=>[3,6,7,5,8,1,4,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [7,1,5,4,8,6,3,2]=>[5,4,7,8,6,1,3,2]=>[2,3,1,6,8,7,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>17 [2,7,5,4,8,6,3,1]=>[5,4,7,8,6,2,3,1]=>[1,3,2,6,8,7,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>17 [2,1,8,7,5,3,6,4]=>[5,2,8,7,6,1,3,4]=>[4,3,1,6,7,8,2,5]=>[[1,4,5,6],[2,7,8],[3]]=>13 [3,5,7,4,8,6,2,1]=>[7,5,8,3,4,6,2,1]=>[1,2,6,4,3,8,5,7]=>[[1,2,3,6,8],[4,7],[5]]=>17 [2,6,7,4,5,8,3,1]=>[6,4,7,5,8,2,3,1]=>[1,3,2,8,5,7,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>16 [5,3,7,4,8,6,2,1]=>[5,3,7,8,4,6,2,1]=>[1,2,6,4,8,7,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>18 [5,4,3,6,8,2,7,1]=>[5,4,8,3,6,2,7,1]=>[1,7,2,6,3,8,4,5]=>[[1,2,4,6,8],[3,7],[5]]=>16 [5,7,3,8,4,1,6,2]=>[7,5,3,1,8,4,6,2]=>[2,6,4,8,1,3,5,7]=>[[1,2,4,8],[3,6,7],[5]]=>18 [5,6,3,8,1,4,7,2]=>[5,3,6,1,8,4,7,2]=>[2,7,4,8,1,6,3,5]=>[[1,2,4],[3,6,8],[5,7]]=>16 [8,4,1,2,5,6,7,3]=>[1,2,4,5,6,8,7,3]=>[3,7,8,6,5,4,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>13 [7,5,1,8,2,6,3,4]=>[1,5,7,2,3,8,6,4]=>[4,6,8,3,2,7,5,1]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [8,7,3,1,5,4,2,6]=>[5,1,3,4,2,8,7,6]=>[6,7,8,2,4,3,1,5]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [3,6,2,1,5,4,8,7]=>[3,2,6,5,8,1,4,7]=>[7,4,1,8,5,6,2,3]=>[[1,4,6],[2,5,8],[3,7]]=>9 [3,2,6,5,1,4,8,7]=>[6,3,5,2,8,1,4,7]=>[7,4,1,8,2,5,3,6]=>[[1,4,6,8],[2,5],[3,7]]=>9 [2,5,8,1,7,4,3,6]=>[5,2,8,7,4,1,3,6]=>[6,3,1,4,7,8,2,5]=>[[1,4,5,6],[2,7,8],[3]]=>13 [2,6,5,1,8,4,3,7]=>[6,5,2,8,4,1,3,7]=>[7,3,1,4,8,2,5,6]=>[[1,4,5,8],[2,6,7],[3]]=>12 [4,2,7,3,1,8,5,6]=>[2,7,4,8,3,1,5,6]=>[6,5,1,3,8,4,7,2]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [4,2,3,7,1,5,8,6]=>[4,2,7,3,8,1,5,6]=>[6,5,1,8,3,7,2,4]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [5,2,7,3,8,6,1,4]=>[5,7,8,2,3,1,6,4]=>[4,6,1,3,2,8,7,5]=>[[1,2,6],[3,4,7],[5,8]]=>15 [5,8,4,2,6,7,1,3]=>[2,5,4,8,6,1,7,3]=>[3,7,1,6,8,4,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [4,8,3,2,1,7,6,5]=>[4,3,8,2,7,6,1,5]=>[5,1,6,7,2,8,3,4]=>[[1,3,4,6],[2,5,7,8]]=>15 [3,4,8,2,1,6,5,7]=>[3,4,2,8,6,1,5,7]=>[7,5,1,6,8,2,4,3]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [3,5,8,1,7,2,6,4]=>[5,3,8,7,1,6,2,4]=>[4,2,6,1,7,8,3,5]=>[[1,3,5,6],[2,7,8],[4]]=>14 [5,1,7,4,6,8,3,2]=>[7,5,4,6,8,1,3,2]=>[2,3,1,8,6,4,5,7]=>[[1,2,4,7,8],[3,5],[6]]=>15 [7,6,4,8,1,5,3,2]=>[1,4,7,6,8,5,3,2]=>[2,3,5,8,6,7,4,1]=>[[1,2,3,4,6],[5],[7],[8]]=>21 [5,3,7,1,8,2,6,4]=>[3,5,1,7,8,2,6,4]=>[4,6,2,8,7,1,5,3]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [2,1,7,6,4,8,3,5]=>[2,7,6,8,4,1,3,5]=>[5,3,1,4,8,6,7,2]=>[[1,4,5,7],[2,6],[3,8]]=>11 [2,1,5,4,8,7,3,6]=>[8,5,7,2,4,1,3,6]=>[6,3,1,4,2,7,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>9 [3,8,5,4,2,1,7,6]=>[5,3,4,2,8,7,1,6]=>[6,1,7,8,2,4,3,5]=>[[1,3,4,8],[2,5,6],[7]]=>15 [3,2,8,7,5,4,1,6]=>[3,8,7,5,2,4,1,6]=>[6,1,4,2,5,7,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>15 [6,5,2,1,3,4,8,7]=>[2,1,3,6,5,8,4,7]=>[7,4,8,5,6,3,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [8,5,2,7,3,1,4,6]=>[2,5,3,1,8,4,7,6]=>[6,7,4,8,1,3,5,2]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [7,3,6,5,2,8,4,1]=>[7,6,3,2,5,8,4,1]=>[1,4,8,5,2,3,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>19 [8,7,5,3,1,4,2,6]=>[1,3,5,4,2,8,7,6]=>[6,7,8,2,4,5,3,1]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [7,1,5,3,8,4,6,2]=>[7,5,1,3,8,4,6,2]=>[2,6,4,8,3,1,5,7]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [6,7,2,3,5,8,4,1]=>[2,3,6,7,5,8,4,1]=>[1,4,8,5,7,6,3,2]=>[[1,2,3,5],[4],[6],[7],[8]]=>17 [3,7,6,4,2,8,5,1]=>[3,7,6,4,8,2,5,1]=>[1,5,2,8,4,6,7,3]=>[[1,2,4,6,7],[3,5],[8]]=>17 [5,8,3,7,2,1,4,6]=>[5,3,2,1,8,7,4,6]=>[6,4,7,8,1,2,3,5]=>[[1,3,4,8],[2,6,7],[5]]=>17 [3,8,7,4,2,1,5,6]=>[3,4,2,1,8,7,5,6]=>[6,5,7,8,1,2,4,3]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [7,8,2,3,5,1,4,6]=>[7,2,3,1,5,4,8,6]=>[6,8,4,5,1,3,2,7]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [2,8,6,3,1,4,7,5]=>[2,3,1,6,8,7,4,5]=>[5,4,7,8,6,1,3,2]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [6,1,7,5,4,8,3,2]=>[6,7,5,4,8,1,3,2]=>[2,3,1,8,4,5,7,6]=>[[1,2,4,6,7],[3,5],[8]]=>17 [6,3,7,5,8,4,2,1]=>[6,7,3,5,8,4,2,1]=>[1,2,4,8,5,3,7,6]=>[[1,2,3,4,7],[5,8],[6]]=>20 [7,6,1,5,8,3,4,2]=>[7,6,5,1,3,8,4,2]=>[2,4,8,3,1,5,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>19 [8,5,2,6,1,7,3,4]=>[5,2,6,1,3,8,7,4]=>[4,7,8,3,1,6,2,5]=>[[1,2,3],[4,6,8],[5,7]]=>17 [6,5,2,8,1,4,3,7]=>[2,1,6,5,8,4,3,7]=>[7,3,4,8,5,6,1,2]=>[[1,3,4,6],[2,5],[7,8]]=>15 [7,4,2,8,1,3,6,5]=>[4,2,1,7,8,3,6,5]=>[5,6,3,8,7,1,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>15 [5,7,3,8,4,1,2,6]=>[7,5,3,1,8,4,2,6]=>[6,2,4,8,1,3,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>17 [2,4,8,1,5,6,3,7]=>[4,2,5,8,6,1,3,7]=>[7,3,1,6,8,5,2,4]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [3,4,8,1,5,2,7,6]=>[3,1,4,8,5,7,2,6]=>[6,2,7,5,8,4,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [3,6,8,4,1,2,7,5]=>[3,1,8,6,4,7,2,5]=>[5,2,7,4,6,8,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>14 [4,8,1,2,5,3,6,7]=>[1,2,4,5,3,8,6,7]=>[7,6,8,3,5,4,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>10 [8,1,2,4,3,5,6,7]=>[4,1,2,3,5,6,8,7]=>[7,8,6,5,3,2,1,4]=>[[1,2],[3,8],[4],[5],[6],[7]]=>8 [2,3,4,6,5,7,8,9,10,1]=>[6,2,3,4,5,7,8,9,10,1]=>[1,10,9,8,7,5,4,3,2,6]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>10 [5,8,7,4,6,3,2,1]=>[8,7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7,8]=>[[1,2,3,4,6,7,8],[5]]=>24 [4,8,7,6,3,5,2,1]=>[8,7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>23 [3,8,7,6,5,2,4,1]=>[8,7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>22 [5,8,4,7,6,3,2,1]=>[5,8,7,4,6,3,2,1]=>[1,2,3,6,4,7,8,5]=>[[1,2,3,4,6,7],[5,8]]=>23 [6,8,5,4,7,3,2,1]=>[8,6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6,8]=>[[1,2,3,4,6,7,8],[5]]=>24 [3,8,7,6,2,5,4,1]=>[3,8,7,6,5,2,4,1]=>[1,4,2,5,6,7,8,3]=>[[1,2,4,5,6,7],[3,8]]=>21 [4,8,7,6,3,2,5,1]=>[8,7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>22 [3,9,8,7,6,5,2,4,1]=>[9,8,7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3]]=>29 [3,8,7,6,5,2,1,4]=>[8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>21 [7,5,8,4,6,3,1,2]=>[5,7,4,1,8,6,3,2]=>[2,3,6,8,1,4,7,5]=>[[1,2,3,4],[5,6,7],[8]]=>23 [7,6,8,2,5,1,4,3]=>[7,2,1,6,8,5,4,3]=>[3,4,5,8,6,1,2,7]=>[[1,2,3,4,8],[5,7],[6]]=>21 [3,5,2,4,7,6,1,8]=>[5,3,7,2,4,6,1,8]=>[8,1,6,4,2,7,3,5]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [3,5,4,7,2,6,1,8]=>[5,7,3,4,2,6,1,8]=>[8,1,6,2,4,3,7,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [3,5,4,7,6,1,2,8]=>[5,7,3,4,1,6,2,8]=>[8,2,6,1,4,3,7,5]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [3,5,7,4,6,1,8,2]=>[7,5,3,4,1,6,8,2]=>[2,8,6,1,4,3,5,7]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [3,5,7,4,6,1,2,8]=>[7,5,3,4,1,6,2,8]=>[8,2,6,1,4,3,5,7]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [3,2,5,7,4,6,1,8]=>[7,3,5,2,4,6,1,8]=>[8,1,6,4,2,5,3,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [3,5,2,7,6,4,1,8]=>[5,7,3,6,2,4,1,8]=>[8,1,4,2,6,3,7,5]=>[[1,3,5,7],[2,6,8],[4]]=>12 [3,5,7,2,6,4,1,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[[1,3,5,7,8],[2,6],[4]]=>13 [5,3,7,6,2,4,1,8]=>[7,3,5,2,6,4,1,8]=>[8,1,4,6,2,5,3,7]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [5,3,7,6,1,4,2,8]=>[3,5,7,1,6,4,2,8]=>[8,2,4,6,1,7,5,3]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [5,3,7,6,4,1,2,8]=>[7,3,5,1,6,4,2,8]=>[8,2,4,6,1,5,3,7]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [3,5,7,2,6,1,4,8]=>[7,5,3,6,2,1,4,8]=>[8,4,1,2,6,3,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>12 [3,5,2,7,6,1,4,8]=>[5,7,3,6,2,1,4,8]=>[8,4,1,2,6,3,7,5]=>[[1,4,5,7],[2,6,8],[3]]=>11 [5,3,7,6,4,1,8,2]=>[7,3,5,1,6,4,8,2]=>[2,8,4,6,1,5,3,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [3,7,5,4,1,8,2,6]=>[7,3,5,4,1,8,2,6]=>[6,2,8,1,4,5,3,7]=>[[1,3,6,8],[2,5],[4,7]]=>14 [3,7,5,1,4,8,6,2]=>[3,7,1,5,8,4,6,2]=>[2,6,4,8,5,1,7,3]=>[[1,2,4,7],[3,5],[6,8]]=>14 [3,5,7,2,1,6,8,4]=>[7,5,3,2,6,8,1,4]=>[4,1,8,6,2,3,5,7]=>[[1,3,6,7,8],[2,4],[5]]=>12 [3,5,2,7,1,6,4,8]=>[5,7,3,2,6,1,4,8]=>[8,4,1,6,2,3,7,5]=>[[1,4,6,7],[2,5,8],[3]]=>10 [3,5,7,2,1,6,4,8]=>[7,5,3,2,6,1,4,8]=>[8,4,1,6,2,3,5,7]=>[[1,4,6,7,8],[2,5],[3]]=>11 [3,5,7,1,4,6,8,2]=>[5,7,3,1,4,6,8,2]=>[2,8,6,4,1,3,7,5]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [3,5,7,1,4,6,2,8]=>[5,7,3,1,4,6,2,8]=>[8,2,6,4,1,3,7,5]=>[[1,3,7],[2,6,8],[4],[5]]=>11 [3,5,7,1,4,2,6,8]=>[3,7,5,1,4,2,6,8]=>[8,6,2,4,1,5,7,3]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [3,5,7,2,1,4,6,8]=>[7,5,3,2,1,4,6,8]=>[8,6,4,1,2,3,5,7]=>[[1,5,6,7,8],[2],[3],[4]]=>10 [3,5,2,7,1,4,6,8]=>[5,7,3,2,1,4,6,8]=>[8,6,4,1,2,3,7,5]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [3,2,5,7,4,1,6,8]=>[7,3,5,2,4,1,6,8]=>[8,6,1,4,2,5,3,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [3,5,2,7,4,1,6,8]=>[5,7,3,2,4,1,6,8]=>[8,6,1,4,2,3,7,5]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [3,5,7,4,2,1,6,8]=>[7,5,3,4,2,1,6,8]=>[8,6,1,2,4,3,5,7]=>[[1,4,5,7,8],[2],[3],[6]]=>12 [3,5,7,4,1,2,6,8]=>[7,5,3,1,4,2,6,8]=>[8,6,2,4,1,3,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [3,5,4,7,1,6,8,2]=>[5,3,4,7,1,6,8,2]=>[2,8,6,1,7,4,3,5]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [3,5,4,7,1,2,6,8]=>[5,7,3,1,4,2,6,8]=>[8,6,2,4,1,3,7,5]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [3,5,4,7,2,1,6,8]=>[5,7,3,4,2,1,6,8]=>[8,6,1,2,4,3,7,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [3,5,4,2,7,1,6,8]=>[5,3,4,7,2,1,6,8]=>[8,6,1,2,7,4,3,5]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [3,2,5,4,7,1,6,8]=>[3,5,7,2,4,1,6,8]=>[8,6,1,4,2,7,5,3]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [3,5,4,7,2,1,8,6]=>[5,7,3,4,2,8,1,6]=>[6,1,8,2,4,3,7,5]=>[[1,3,5,7],[2,4],[6,8]]=>12 [5,7,6,3,1,8,2,4]=>[1,7,5,3,6,2,8,4]=>[4,8,2,6,3,5,7,1]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [3,5,7,4,2,1,8,6]=>[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[[1,3,5,7,8],[2,4],[6]]=>13 [3,5,2,7,1,4,8,6]=>[5,7,3,2,8,1,4,6]=>[6,4,1,8,2,3,7,5]=>[[1,4,6,7],[2,5],[3,8]]=>10 [3,5,7,2,1,4,8,6]=>[7,5,3,2,8,1,4,6]=>[6,4,1,8,2,3,5,7]=>[[1,4,6,7,8],[2,5],[3]]=>11 [3,5,7,1,4,2,8,6]=>[3,7,5,1,4,8,2,6]=>[6,2,8,4,1,5,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>11 [3,7,5,2,1,8,6,4]=>[5,3,2,7,8,6,1,4]=>[4,1,6,8,7,2,3,5]=>[[1,3,4,8],[2,5,7],[6]]=>14 [3,2,7,5,1,8,6,4]=>[3,7,5,8,2,6,1,4]=>[4,1,6,2,8,5,7,3]=>[[1,3,5,7],[2,4,6],[8]]=>12 [3,7,5,2,1,8,4,6]=>[7,3,2,5,1,8,4,6]=>[6,4,8,1,5,2,3,7]=>[[1,3,7,8],[2,5],[4,6]]=>13 [2,1,7,5,8,4,6,3]=>[7,8,2,5,4,6,1,3]=>[3,1,6,4,5,2,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>12 [2,7,3,6,8,4,1,5]=>[7,6,2,3,8,4,1,5]=>[5,1,4,8,3,2,6,7]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [3,4,2,6,7,1,8,5]=>[3,4,6,7,2,8,1,5]=>[5,1,8,2,7,6,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [3,5,8,7,2,1,6,4]=>[8,7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7,8]=>[[1,3,5,6,7,8],[2,4]]=>16 [2,3,4,5,6,7,1,9,8]=>[2,3,4,5,6,7,9,1,8]=>[8,1,9,7,6,5,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>7 [2,1,4,5,6,7,8,9,3]=>[2,4,5,6,7,8,9,1,3]=>[3,1,9,8,7,6,5,4,2]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>7 [5,8,3,4,1,7,6,2]=>[3,1,5,8,7,4,6,2]=>[2,6,4,7,8,5,1,3]=>[[1,2,4,5],[3,6],[7,8]]=>17 [5,8,7,2,4,1,6,3]=>[5,2,1,8,7,4,6,3]=>[3,6,4,7,8,1,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>19 [4,3,5,6,8,1,7,2]=>[4,3,5,6,8,1,7,2]=>[2,7,1,8,6,5,3,4]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [3,8,4,1,7,6,5,2]=>[8,3,7,1,6,4,5,2]=>[2,5,4,6,1,7,3,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [3,2,7,6,1,5,4,8]=>[7,6,3,2,5,1,4,8]=>[8,4,1,5,2,3,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>11 [3,2,8,7,6,1,5,4]=>[8,7,6,3,2,5,1,4]=>[4,1,5,2,3,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>16 [4,2,5,8,1,6,7,3]=>[8,2,4,5,1,6,7,3]=>[3,7,6,1,5,4,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [4,2,5,8,1,7,3,6]=>[2,8,4,5,1,7,3,6]=>[6,3,7,1,5,4,8,2]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [5,8,2,4,1,6,3,7]=>[5,2,1,4,8,6,3,7]=>[7,3,6,8,4,1,2,5]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [8,4,2,6,5,1,3,7]=>[6,2,4,1,5,3,8,7]=>[7,8,3,5,1,4,2,6]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [3,2,6,8,1,5,4,7]=>[8,6,3,2,5,1,4,7]=>[7,4,1,5,2,3,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>11 [8,3,2,5,6,1,4,7]=>[3,5,6,2,1,4,8,7]=>[7,8,4,1,2,6,5,3]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [3,2,8,6,7,1,5,4]=>[6,8,7,3,2,5,1,4]=>[4,1,5,2,3,7,8,6]=>[[1,3,5,6,7],[2,4,8]]=>15 [3,2,6,8,7,1,5,4]=>[8,6,7,3,2,5,1,4]=>[4,1,5,2,3,7,6,8]=>[[1,3,5,6,8],[2,4,7]]=>14 [3,2,6,7,1,5,4,8]=>[6,7,3,2,5,1,4,8]=>[8,4,1,5,2,3,7,6]=>[[1,4,6,7],[2,5,8],[3]]=>10 [8,7,3,2,5,6,1,4]=>[8,3,2,5,1,7,6,4]=>[4,6,7,1,5,2,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>20 [8,4,2,7,5,1,3,6]=>[4,8,2,1,5,3,7,6]=>[6,7,3,5,1,2,8,4]=>[[1,2,7],[3,4,8],[5,6]]=>17 [7,2,4,1,8,3,6,5]=>[4,7,2,8,1,3,6,5]=>[5,6,3,1,8,2,7,4]=>[[1,2,5],[3,6,7],[4,8]]=>13 [3,2,8,5,7,1,4,6]=>[8,3,7,5,2,1,4,6]=>[6,4,1,2,5,7,3,8]=>[[1,4,5,6,8],[2,7],[3]]=>13 [2,6,5,7,1,8,3,4]=>[6,5,2,7,1,8,3,4]=>[4,3,8,1,7,2,5,6]=>[[1,3,7,8],[2,5],[4,6]]=>13 [2,5,1,8,7,4,3,6]=>[8,5,2,7,4,1,3,6]=>[6,3,1,4,7,2,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>12 [8,1,4,6,3,5,2,7]=>[6,4,3,5,1,2,8,7]=>[7,8,2,1,5,3,4,6]=>[[1,2,7,8],[3,5],[4,6]]=>14 [8,3,5,4,1,6,2,7]=>[5,3,1,4,6,2,8,7]=>[7,8,2,6,4,1,3,5]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [5,4,7,6,8,2,3,1]=>[5,7,4,6,2,8,3,1]=>[1,3,8,2,6,4,7,5]=>[[1,2,3,7],[4,5,8],[6]]=>19 [4,1,8,2,3,7,6,5]=>[8,1,4,7,2,6,3,5]=>[5,3,6,2,7,4,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [2,1,8,5,3,4,7,6]=>[2,1,8,5,7,3,4,6]=>[6,4,3,7,5,8,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [5,2,4,6,8,7,3,1]=>[5,8,2,4,6,7,3,1]=>[1,3,7,6,4,2,8,5]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [5,7,4,8,6,1,3,2]=>[7,5,4,8,1,6,3,2]=>[2,3,6,1,8,4,5,7]=>[[1,2,3,5,8],[4,6,7]]=>20 [5,4,2,6,7,8,1,3]=>[2,5,4,6,7,1,8,3]=>[3,8,1,7,6,4,5,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>14 [6,4,2,7,3,5,8,1]=>[2,4,6,3,7,5,8,1]=>[1,8,5,7,3,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [7,4,1,8,3,5,6,2]=>[7,4,1,3,5,8,6,2]=>[2,6,8,5,3,1,4,7]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [6,5,4,8,7,3,1,2]=>[6,5,8,4,1,7,3,2]=>[2,3,7,1,4,8,5,6]=>[[1,2,3,6,8],[4,5,7]]=>21 [8,7,4,2,1,3,6,5]=>[2,1,4,8,3,7,6,5]=>[5,6,7,3,8,4,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>18 [6,8,2,3,1,7,5,4]=>[2,3,8,1,6,7,5,4]=>[4,5,7,6,1,8,3,2]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [7,4,3,2,6,8,5,1]=>[4,3,7,2,6,8,5,1]=>[1,5,8,6,2,7,3,4]=>[[1,2,3,6],[4,7,8],[5]]=>17 [2,7,4,3,8,5,6,1]=>[4,7,2,3,8,5,6,1]=>[1,6,5,8,3,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [5,7,8,2,4,3,1,6]=>[2,7,8,5,4,3,1,6]=>[6,1,3,4,5,8,7,2]=>[[1,3,4,5,6],[2,7],[8]]=>18 [8,4,7,3,2,6,1,5]=>[4,3,8,7,2,1,6,5]=>[5,6,1,2,7,8,3,4]=>[[1,2,5,6],[3,4,7,8]]=>20 [8,3,1,6,7,4,2,5]=>[8,3,6,1,4,2,7,5]=>[5,7,2,4,1,6,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>16 [3,2,5,7,4,8,1,6]=>[7,3,5,8,2,4,1,6]=>[6,1,4,2,8,5,3,7]=>[[1,3,5,8],[2,6],[4,7]]=>11 [8,2,7,3,4,1,5,6]=>[2,3,4,1,8,5,7,6]=>[6,7,5,8,1,4,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [7,1,6,3,5,8,2,4]=>[7,3,6,5,1,2,8,4]=>[4,8,2,1,5,6,3,7]=>[[1,2,6,8],[3,5],[4,7]]=>15 [2,8,5,6,7,1,4,3]=>[5,6,2,8,7,4,1,3]=>[3,1,4,7,8,2,6,5]=>[[1,3,4,5],[2,6,7],[8]]=>17 [1,5,2,7,8,6,4,3]=>[7,8,5,6,1,4,2,3]=>[3,2,4,1,6,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>12 [2,6,8,5,1,4,7,3]=>[2,8,6,5,4,7,1,3]=>[3,1,7,4,5,6,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>15 [1,4,2,8,6,5,7,3]=>[8,1,6,4,5,7,2,3]=>[3,2,7,5,4,6,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [3,5,1,6,8,7,2,4]=>[5,8,3,6,1,7,2,4]=>[4,2,7,1,6,3,8,5]=>[[1,3,7],[2,5,8],[4,6]]=>12 [2,5,8,7,4,1,6,3]=>[8,7,5,4,2,6,1,3]=>[3,1,6,2,4,5,7,8]=>[[1,3,5,6,7,8],[2,4]]=>16 [4,1,7,5,2,6,8,3]=>[7,1,4,2,5,6,8,3]=>[3,8,6,5,2,4,1,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [7,6,2,4,5,1,8,3]=>[2,7,4,1,6,5,8,3]=>[3,8,5,6,1,4,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [7,3,4,2,5,8,6,1]=>[3,4,2,5,7,8,6,1]=>[1,6,8,7,5,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [8,7,4,2,5,1,6,3]=>[2,4,1,5,8,7,6,3]=>[3,6,7,8,5,1,4,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [8,1,4,5,2,6,7,3]=>[4,1,2,5,8,6,7,3]=>[3,7,6,8,5,2,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [4,2,1,5,6,7,8,3]=>[2,1,4,5,6,7,8,3]=>[3,8,7,6,5,4,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>8 [3,4,6,5,1,7,8,2]=>[6,3,4,1,5,7,8,2]=>[2,8,7,5,1,4,3,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [7,3,5,2,4,6,1,8]=>[5,3,2,4,7,6,1,8]=>[8,1,6,7,4,2,3,5]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [5,3,7,2,4,6,1,8]=>[5,3,2,7,4,6,1,8]=>[8,1,6,4,7,2,3,5]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [3,7,5,2,4,6,1,8]=>[7,3,2,5,4,6,1,8]=>[8,1,6,4,5,2,3,7]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [5,7,3,2,4,6,1,8]=>[3,2,7,5,4,6,1,8]=>[8,1,6,4,5,7,2,3]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [1,5,3,2,7,4,6,8]=>[5,7,1,3,2,4,6,8]=>[8,6,4,2,3,1,7,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [5,7,3,2,1,4,6,8]=>[3,2,1,7,5,4,6,8]=>[8,6,4,5,7,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [5,7,3,2,4,1,6,8]=>[3,2,7,5,4,1,6,8]=>[8,6,1,4,5,7,2,3]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [5,1,3,2,4,7,6,8]=>[3,1,2,5,7,4,6,8]=>[8,6,4,7,5,2,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>6 [7,1,3,5,2,4,6,8]=>[5,3,1,2,4,7,6,8]=>[8,6,7,4,2,1,3,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [5,1,3,7,2,4,6,8]=>[5,3,1,2,7,4,6,8]=>[8,6,4,7,2,1,3,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [3,2,7,5,1,4,6,8]=>[3,7,5,2,1,4,6,8]=>[8,6,4,1,2,5,7,3]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [5,7,3,1,2,4,6,8]=>[1,3,2,7,5,4,6,8]=>[8,6,4,5,7,2,3,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [1,5,3,7,2,4,6,8]=>[1,5,7,3,2,4,6,8]=>[8,6,4,2,3,7,5,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [5,3,2,7,4,1,6,8]=>[3,5,2,7,4,1,6,8]=>[8,6,1,4,7,2,5,3]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [5,3,2,4,7,1,6,8]=>[3,2,5,7,4,1,6,8]=>[8,6,1,4,7,5,2,3]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [5,3,2,1,4,7,6,8]=>[3,2,1,5,7,4,6,8]=>[8,6,4,7,5,1,2,3]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [5,3,2,1,7,4,6,8]=>[3,2,5,1,7,4,6,8]=>[8,6,4,7,1,5,2,3]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [1,3,7,2,5,4,6,8]=>[1,7,3,5,2,4,6,8]=>[8,6,4,2,5,3,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [5,3,1,2,4,7,6,8]=>[1,3,2,5,7,4,6,8]=>[8,6,4,7,5,2,3,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>7 [3,2,5,1,4,7,6,8]=>[3,5,2,7,1,4,6,8]=>[8,6,4,1,7,2,5,3]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [1,3,7,5,2,4,6,8]=>[7,5,1,3,2,4,6,8]=>[8,6,4,2,3,1,5,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>7 [3,7,1,5,2,4,6,8]=>[3,1,7,2,5,4,6,8]=>[8,6,4,5,2,7,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [3,7,2,1,5,4,6,8]=>[3,2,7,1,5,4,6,8]=>[8,6,4,5,1,7,2,3]=>[[1,4,6],[2,7,8],[3],[5]]=>9 [3,2,1,7,5,4,6,8]=>[7,3,2,5,1,4,6,8]=>[8,6,4,1,5,2,3,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,2,3,4,5,7,9,6,8]=>[9,7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>3 [3,9,8,7,6,5,2,1,4]=>[9,8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>28 [1,8,7,4,2,6,5,3]=>[8,1,4,7,6,5,2,3]=>[3,2,5,6,7,4,1,8]=>[[1,3,4,5,8],[2,6],[7]]=>16 [3,10,9,8,7,6,5,2,1,4]=>[10,9,8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>36 [4,9,8,7,6,3,2,1,5]=>[9,8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>28 [2,8,1,4,7,6,5,3]=>[8,7,2,4,6,5,1,3]=>[3,1,5,6,4,2,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>14 [8,5,3,6,2,4,7,1]=>[3,5,2,6,4,8,7,1]=>[1,7,8,4,6,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [8,5,6,3,7,4,2,1]=>[5,3,6,8,7,4,2,1]=>[1,2,4,7,8,6,3,5]=>[[1,2,3,4,5],[6,8],[7]]=>23 [8,7,6,3,4,1,5,2]=>[3,1,4,8,7,6,5,2]=>[2,5,6,7,8,4,1,3]=>[[1,2,3,4,5],[6,8],[7]]=>23 [1,7,2,3,6,8,5,4]=>[7,6,8,1,2,5,3,4]=>[4,3,5,2,1,8,6,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [3,5,6,4,8,2,7,1]=>[5,6,8,3,4,2,7,1]=>[1,7,2,4,3,8,6,5]=>[[1,2,4,6],[3,7],[5,8]]=>15 [3,5,1,4,8,2,7,6]=>[8,3,5,1,4,7,2,6]=>[6,2,7,4,1,5,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>10 [3,7,5,1,6,4,8,2]=>[3,5,7,6,1,4,8,2]=>[2,8,4,1,6,7,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [2,7,5,4,8,1,3,6]=>[7,5,8,2,1,4,3,6]=>[6,3,4,1,2,8,5,7]=>[[1,3,6,8],[2,5,7],[4]]=>14 [1,7,5,4,8,6,3,2]=>[5,4,7,8,6,3,1,2]=>[2,1,3,6,8,7,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>16 [2,5,1,4,8,7,3,6]=>[8,2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2,8]=>[[1,4,5,8],[2,6],[3,7]]=>10 [3,5,2,4,8,1,6,7]=>[5,8,3,2,4,1,6,7]=>[7,6,1,4,2,3,8,5]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [1,5,6,4,8,7,2,3]=>[5,6,8,4,1,7,2,3]=>[3,2,7,1,4,8,6,5]=>[[1,3,6],[2,5,7],[4,8]]=>13 [3,6,4,5,8,7,2,1]=>[3,6,8,4,5,7,2,1]=>[1,2,7,5,4,8,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [1,6,4,3,8,5,2,7]=>[4,6,3,8,5,1,2,7]=>[7,2,1,5,8,3,6,4]=>[[1,4,5],[2,6,7],[3,8]]=>11 [7,1,3,4,5,8,2,6]=>[3,4,5,7,1,2,8,6]=>[6,8,2,1,7,5,4,3]=>[[1,2],[3,5],[4,6],[7],[8]]=>11 [7,6,1,3,5,4,8,2]=>[7,1,6,3,5,4,8,2]=>[2,8,4,5,3,6,1,7]=>[[1,2,4,6,8],[3],[5],[7]]=>16 [7,1,3,2,5,8,4,6]=>[3,5,7,1,2,4,8,6]=>[6,8,4,2,1,7,5,3]=>[[1,2],[3,6],[4,7],[5,8]]=>10 [1,6,4,2,8,5,3,7]=>[4,1,6,8,5,2,3,7]=>[7,3,2,5,8,6,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [7,6,5,8,2,4,3,1]=>[2,7,6,5,8,4,3,1]=>[1,3,4,8,5,6,7,2]=>[[1,2,3,4,6,7],[5],[8]]=>23 [7,6,5,8,3,1,4,2]=>[1,7,6,5,3,8,4,2]=>[2,4,8,3,5,6,7,1]=>[[1,2,3,6,7],[4,5],[8]]=>22 [2,6,4,3,8,1,7,5]=>[6,8,2,4,3,7,1,5]=>[5,1,7,3,4,2,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>12 [7,1,5,6,3,8,4,2]=>[5,1,7,6,8,3,4,2]=>[2,4,3,8,6,7,1,5]=>[[1,2,4,6],[3,5],[7,8]]=>16 [7,3,6,5,1,4,8,2]=>[3,7,6,1,5,4,8,2]=>[2,8,4,5,1,6,7,3]=>[[1,2,4,6,7],[3,8],[5]]=>17 [7,2,6,5,3,8,1,4]=>[2,7,6,3,5,1,8,4]=>[4,8,1,5,3,6,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [7,2,3,1,4,8,6,5]=>[2,3,7,8,1,4,6,5]=>[5,6,4,1,8,7,3,2]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [7,2,3,5,4,8,6,1]=>[5,2,3,4,7,8,6,1]=>[1,6,8,7,4,3,2,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [2,6,4,5,8,1,7,3]=>[4,6,8,5,2,7,1,3]=>[3,1,7,2,5,8,6,4]=>[[1,3,5,6],[2,4,7],[8]]=>13 [1,5,6,4,8,3,7,2]=>[5,6,8,4,3,7,1,2]=>[2,1,7,3,4,8,6,5]=>[[1,3,5,6],[2,4,7],[8]]=>13 [3,5,6,1,4,7,8,2]=>[5,3,6,1,4,7,8,2]=>[2,8,7,4,1,6,3,5]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [7,1,3,2,4,8,5,6]=>[3,7,1,2,4,5,8,6]=>[6,8,5,4,2,1,7,3]=>[[1,2],[3,7],[4,8],[5],[6]]=>9 [7,6,1,5,3,4,8,2]=>[1,7,6,3,5,4,8,2]=>[2,8,4,5,3,6,7,1]=>[[1,2,4,6,7],[3],[5],[8]]=>17 [7,6,1,5,4,3,8,2]=>[7,6,5,1,4,3,8,2]=>[2,8,3,4,1,5,6,7]=>[[1,2,4,6,7,8],[3],[5]]=>18 [1,6,4,5,8,3,2,7]=>[4,6,8,5,3,1,2,7]=>[7,2,1,3,5,8,6,4]=>[[1,4,5,6],[2,7],[3,8]]=>12 [7,6,5,8,1,3,2,4]=>[7,1,6,5,3,2,8,4]=>[4,8,2,3,5,6,1,7]=>[[1,2,5,6,8],[3,4],[7]]=>20 [4,2,1,5,3,7,8,6]=>[2,1,4,5,7,8,3,6]=>[6,3,8,7,5,4,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [4,2,5,6,3,1,8,7]=>[2,4,5,6,3,8,1,7]=>[7,1,8,3,6,5,4,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [4,1,3,5,2,7,8,6]=>[4,1,3,5,7,8,2,6]=>[6,2,8,7,5,3,1,4]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [3,5,7,1,8,4,2,6]=>[7,5,3,8,1,4,2,6]=>[6,2,4,1,8,3,5,7]=>[[1,3,5,8],[2,6,7],[4]]=>13 [4,5,3,7,1,2,8,6]=>[4,5,1,7,3,8,2,6]=>[6,2,8,3,7,1,5,4]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [5,1,3,2,4,6,7,8]=>[3,1,2,5,4,6,7,8]=>[8,7,6,4,5,2,1,3]=>[[1,5],[2,8],[3],[4],[6],[7]]=>5 [3,6,1,7,4,5,2,8]=>[6,7,3,1,4,5,2,8]=>[8,2,5,4,1,3,7,6]=>[[1,3,7],[2,6,8],[4],[5]]=>11 [4,5,2,3,7,1,8,6]=>[4,2,5,7,3,8,1,6]=>[6,1,8,3,7,5,2,4]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [4,2,6,1,3,7,5,8]=>[4,2,1,6,7,3,5,8]=>[8,5,3,7,6,1,2,4]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [3,6,2,1,7,4,8,5]=>[3,2,6,1,7,8,4,5]=>[5,4,8,7,1,6,2,3]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [3,6,2,7,1,5,8,4]=>[3,6,2,7,5,8,1,4]=>[4,1,8,5,7,2,6,3]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [4,6,2,7,1,3,5,8]=>[6,4,2,1,7,3,5,8]=>[8,5,3,7,1,2,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [3,5,7,1,8,2,6,4]=>[7,5,3,8,1,6,2,4]=>[4,2,6,1,8,3,5,7]=>[[1,3,5,8],[2,6,7],[4]]=>13 [5,1,4,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[8,7,6,3,4,2,5,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>6 [3,6,1,7,2,5,8,4]=>[3,1,6,7,5,8,2,4]=>[4,2,8,5,7,6,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [2,6,5,3,4,7,8,1]=>[2,6,5,3,4,7,8,1]=>[1,8,7,4,3,5,6,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>12 [3,6,1,7,5,4,2,8]=>[6,7,3,5,1,4,2,8]=>[8,2,4,1,5,3,7,6]=>[[1,3,5,7],[2,6,8],[4]]=>12 [5,1,4,3,2,6,7,8]=>[5,4,1,3,2,6,7,8]=>[8,7,6,2,3,1,4,5]=>[[1,5,7,8],[2],[3],[4],[6]]=>7 [5,4,1,3,2,6,7,8]=>[5,1,4,3,2,6,7,8]=>[8,7,6,2,3,4,1,5]=>[[1,5,6,8],[2],[3],[4],[7]]=>8 [6,4,2,5,3,8,1,7]=>[2,4,6,5,8,3,1,7]=>[7,1,3,8,5,6,4,2]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [4,6,2,3,5,1,8,7]=>[2,6,4,3,5,8,1,7]=>[7,1,8,5,3,4,6,2]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [6,2,4,5,1,8,3,7]=>[2,6,4,5,1,8,3,7]=>[7,3,8,1,5,4,6,2]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [8,2,6,7,4,1,5,3]=>[6,2,1,8,7,4,5,3]=>[3,5,4,7,8,1,2,6]=>[[1,2,4,5],[3,7,8],[6]]=>19 [4,6,2,3,5,8,1,7]=>[2,6,4,8,3,5,1,7]=>[7,1,5,3,8,4,6,2]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [2,6,4,1,5,8,3,7]=>[4,2,6,8,5,1,3,7]=>[7,3,1,5,8,6,2,4]=>[[1,4,5],[2,6,8],[3,7]]=>10 [2,8,6,1,4,7,5,3]=>[2,4,6,8,7,5,1,3]=>[3,1,5,7,8,6,4,2]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [2,8,1,6,4,7,5,3]=>[2,4,8,6,7,5,1,3]=>[3,1,5,7,6,8,4,2]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [4,2,3,6,1,8,5,7]=>[2,4,6,8,3,1,5,7]=>[7,5,1,3,8,6,4,2]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [4,2,3,8,6,1,7,5]=>[4,8,2,6,3,7,1,5]=>[5,1,7,3,6,2,8,4]=>[[1,3,5,7],[2,4],[6,8]]=>12 [6,4,5,8,2,3,7,1]=>[4,6,2,8,5,3,7,1]=>[1,7,3,5,8,2,6,4]=>[[1,2,4,5],[3,7],[6,8]]=>18 [4,2,8,3,1,6,7,5]=>[2,4,3,8,6,7,1,5]=>[5,1,7,6,8,3,4,2]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [2,4,8,1,3,6,7,5]=>[4,2,6,8,7,1,3,5]=>[5,3,1,7,8,6,2,4]=>[[1,4,5],[2,6,8],[3,7]]=>10 [2,4,1,8,3,6,7,5]=>[4,2,8,6,7,1,3,5]=>[5,3,1,7,6,8,2,4]=>[[1,4,6],[2,5,8],[3,7]]=>9 [6,4,8,2,5,3,7,1]=>[2,6,4,8,5,3,7,1]=>[1,7,3,5,8,4,6,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [8,6,2,4,7,5,1,3]=>[2,4,8,6,1,7,5,3]=>[3,5,7,1,6,8,4,2]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [4,6,8,2,3,5,7,1]=>[2,8,6,4,3,5,7,1]=>[1,7,5,3,4,6,8,2]=>[[1,2,5,6,7],[3],[4],[8]]=>16 [2,8,1,4,6,7,3,5]=>[2,8,6,7,1,4,3,5]=>[5,3,4,1,7,6,8,2]=>[[1,3,5,7],[2,6],[4,8]]=>12 [4,8,6,2,3,7,5,1]=>[2,6,4,8,7,3,5,1]=>[1,5,3,7,8,4,6,2]=>[[1,2,4,5],[3,6,7],[8]]=>18 [8,4,2,6,7,3,1,5]=>[4,8,2,6,3,1,7,5]=>[5,7,1,3,6,2,8,4]=>[[1,2,5,7],[3,4],[6,8]]=>18 [7,6,4,5,1,3,8,2]=>[1,4,7,6,5,3,8,2]=>[2,8,3,5,6,7,4,1]=>[[1,2,4,5,6],[3],[7],[8]]=>19 [1,6,7,5,3,4,8,2]=>[6,3,7,5,4,8,1,2]=>[2,1,8,4,5,7,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>14 [7,6,2,3,8,4,1,5]=>[7,2,3,6,4,1,8,5]=>[5,8,1,4,6,3,2,7]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [1,6,7,5,8,2,3,4]=>[6,1,7,5,2,8,3,4]=>[4,3,8,2,5,7,1,6]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [6,2,3,8,7,4,1,5]=>[8,6,2,3,4,1,7,5]=>[5,7,1,4,3,2,6,8]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [2,4,7,3,5,8,6,1]=>[7,2,4,8,3,5,6,1]=>[1,6,5,3,8,4,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [5,2,8,3,1,4,6,7]=>[2,3,1,8,5,4,6,7]=>[7,6,4,5,8,1,3,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [5,8,1,3,6,4,7,2]=>[1,5,8,3,6,4,7,2]=>[2,7,4,6,3,8,5,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [6,4,5,3,8,1,7,2]=>[4,6,5,3,8,1,7,2]=>[2,7,1,8,3,5,6,4]=>[[1,2,4,7],[3,5,6],[8]]=>17 [4,2,6,5,1,7,3,8]=>[6,2,4,1,5,7,3,8]=>[8,3,7,5,1,4,2,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [4,3,5,7,2,1,6,8]=>[4,7,3,5,2,1,6,8]=>[8,6,1,2,5,3,7,4]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [3,4,6,2,5,8,7,1]=>[6,3,4,8,2,5,7,1]=>[1,7,5,2,8,4,3,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [3,5,2,4,6,1,8,7]=>[5,3,2,4,6,8,1,7]=>[7,1,8,6,4,2,3,5]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [4,3,8,6,5,7,1,2]=>[4,8,6,3,5,1,7,2]=>[2,7,1,5,3,6,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>17 [1,3,7,2,6,5,8,4]=>[7,3,6,5,8,1,2,4]=>[4,2,1,8,5,6,3,7]=>[[1,4,6,8],[2,5],[3,7]]=>9 [1,5,4,7,3,6,8,2]=>[5,7,4,3,6,8,1,2]=>[2,1,8,6,3,4,7,5]=>[[1,3,6,7],[2,4,8],[5]]=>11 [5,2,3,8,4,1,7,6]=>[2,5,3,8,4,7,1,6]=>[6,1,7,4,8,3,5,2]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [7,5,3,4,8,2,1,6]=>[3,5,4,7,2,1,8,6]=>[6,8,1,2,7,4,5,3]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [7,4,3,8,5,2,6,1]=>[4,7,3,5,2,8,6,1]=>[1,6,8,2,5,3,7,4]=>[[1,2,3,7],[4,5],[6,8]]=>19 [4,6,2,7,3,1,5,8]=>[6,4,2,7,3,1,5,8]=>[8,5,1,3,7,2,4,6]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [7,6,3,8,2,4,5,1]=>[7,3,2,6,4,8,5,1]=>[1,5,8,4,6,2,3,7]=>[[1,2,3,8],[4,5],[6,7]]=>20 [7,2,8,5,1,3,4,6]=>[2,1,7,5,3,4,8,6]=>[6,8,4,3,5,7,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [1,5,3,7,6,8,4,2]=>[7,3,5,6,8,4,1,2]=>[2,1,4,8,6,5,3,7]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [1,6,3,7,8,2,4,5]=>[6,7,3,1,2,8,4,5]=>[5,4,8,2,1,3,7,6]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [1,4,3,7,8,5,2,6]=>[7,8,4,3,5,1,2,6]=>[6,2,1,5,3,4,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>10 [4,2,6,5,7,8,3,1]=>[6,2,4,5,7,8,3,1]=>[1,3,8,7,5,4,2,6]=>[[1,2,3,8],[4],[5],[6],[7]]=>14 [4,2,6,7,5,8,1,3]=>[6,7,2,4,5,1,8,3]=>[3,8,1,5,4,2,7,6]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [3,2,4,7,8,5,1,6]=>[7,8,3,2,4,5,1,6]=>[6,1,5,4,2,3,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [3,2,6,7,8,1,4,5]=>[6,7,8,3,2,1,4,5]=>[5,4,1,2,3,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>12 [3,6,8,5,7,2,1,4]=>[8,6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6,8]=>[[1,3,4,5,7,8],[2,6]]=>18 [5,1,3,8,7,6,4,2]=>[8,7,1,5,6,3,4,2]=>[2,4,3,6,5,1,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>15 [3,8,5,6,1,7,2,4]=>[5,6,3,1,8,7,2,4]=>[4,2,7,8,1,3,6,5]=>[[1,3,4],[2,6,7],[5,8]]=>16 [4,7,6,8,5,1,3,2]=>[7,6,4,8,1,5,3,2]=>[2,3,5,1,8,4,6,7]=>[[1,2,3,5,8],[4,6,7]]=>20 [1,8,4,6,7,2,5,3]=>[4,1,8,6,7,5,2,3]=>[3,2,5,7,6,8,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>15 [5,2,8,3,7,1,6,4]=>[8,5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5,8]=>[[1,2,4,8],[3,5,7],[6]]=>15 [3,6,5,8,7,1,4,2]=>[6,8,5,3,7,1,4,2]=>[2,4,1,7,3,5,8,6]=>[[1,2,4,7],[3,5,6,8]]=>17 [5,6,4,8,2,7,3,1]=>[5,6,4,8,2,7,3,1]=>[1,3,7,2,8,4,6,5]=>[[1,2,3,5],[4,6,7],[8]]=>19 [4,6,3,8,2,7,5,1]=>[6,8,4,3,7,2,5,1]=>[1,5,2,7,3,4,8,6]=>[[1,2,4,6,7],[3,5,8]]=>17 [5,3,8,1,7,2,6,4]=>[3,5,8,1,7,2,6,4]=>[4,6,2,7,1,8,5,3]=>[[1,2,4,6],[3,7],[5,8]]=>15 [6,5,3,8,2,7,4,1]=>[3,6,5,8,2,7,4,1]=>[1,4,7,2,8,5,6,3]=>[[1,2,3,5],[4,6,7],[8]]=>19 [6,4,8,1,3,7,5,2]=>[1,4,6,8,3,7,5,2]=>[2,5,7,3,8,6,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [6,2,8,3,4,7,5,1]=>[2,6,8,3,4,7,5,1]=>[1,5,7,4,3,8,6,2]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [7,6,3,1,4,2,5,8]=>[1,3,4,2,7,6,5,8]=>[8,5,6,7,2,4,3,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [4,2,7,8,5,3,1,6]=>[7,4,8,2,5,3,1,6]=>[6,1,3,5,2,8,4,7]=>[[1,3,4,6],[2,7,8],[5]]=>15 [4,2,8,7,6,3,1,5]=>[8,7,4,2,6,3,1,5]=>[5,1,3,6,2,4,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>17 [4,2,7,6,3,1,5,8]=>[7,4,2,6,3,1,5,8]=>[8,5,1,3,6,2,4,7]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [6,3,1,8,7,5,2,4]=>[8,3,6,1,7,2,5,4]=>[4,5,2,7,1,6,3,8]=>[[1,2,4,8],[3,6],[5,7]]=>16 [7,6,3,1,8,4,2,5]=>[7,1,3,6,4,2,8,5]=>[5,8,2,4,6,3,1,7]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [7,6,4,2,1,8,3,5]=>[2,1,4,7,6,3,8,5]=>[5,8,3,6,7,4,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [8,4,2,5,7,6,3,1]=>[8,2,4,5,7,6,3,1]=>[1,3,6,7,5,4,2,8]=>[[1,2,3,4,8],[5],[6],[7]]=>19 [7,5,2,4,8,6,3,1]=>[5,2,4,7,8,6,3,1]=>[1,3,6,8,7,4,2,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [7,5,2,4,6,3,1,8]=>[5,2,4,7,6,3,1,8]=>[8,1,3,6,7,4,2,5]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [8,4,7,5,2,6,3,1]=>[4,2,8,5,7,6,3,1]=>[1,3,6,7,5,8,2,4]=>[[1,2,3,4,6],[5,8],[7]]=>22 [8,3,6,4,7,5,2,1]=>[3,4,8,6,7,5,2,1]=>[1,2,5,7,6,8,4,3]=>[[1,2,3,4,6],[5],[7],[8]]=>21 [1,8,2,7,5,3,6,4]=>[1,2,8,7,5,6,3,4]=>[4,3,6,5,7,8,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [7,5,2,1,8,3,6,4]=>[2,5,1,3,7,8,6,4]=>[4,6,8,7,3,1,5,2]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [7,5,2,6,3,1,8,4]=>[5,2,3,1,7,6,8,4]=>[4,8,6,7,1,3,2,5]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [5,2,8,7,4,1,6,3]=>[8,7,5,2,1,4,6,3]=>[3,6,4,1,2,5,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>17 [8,7,4,1,5,2,6,3]=>[4,1,2,5,8,7,6,3]=>[3,6,7,8,5,2,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [7,4,1,5,2,8,6,3]=>[4,1,2,5,7,8,6,3]=>[3,6,8,7,5,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [7,6,3,1,4,2,8,5]=>[1,3,4,2,7,6,8,5]=>[5,8,6,7,2,4,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [8,7,5,2,6,3,1,4]=>[5,2,3,1,8,7,6,4]=>[4,6,7,8,1,3,2,5]=>[[1,2,3,4],[5,6,8],[7]]=>22 [7,5,2,1,3,6,4,8]=>[2,1,3,5,7,6,4,8]=>[8,4,6,7,5,3,1,2]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [7,5,2,1,3,8,6,4]=>[2,1,3,5,7,8,6,4]=>[4,6,8,7,5,3,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [1,3,7,6,5,8,2,4]=>[7,6,5,8,3,1,2,4]=>[4,2,1,3,8,5,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>12 [8,6,4,7,5,2,1,3]=>[4,6,2,1,8,7,5,3]=>[3,5,7,8,1,2,6,4]=>[[1,2,3,4],[5,6,7],[8]]=>23 [6,4,8,7,5,2,1,3]=>[8,4,6,2,1,7,5,3]=>[3,5,7,1,2,6,4,8]=>[[1,2,3,8],[4,5,6],[7]]=>21 [6,4,7,5,2,1,3,8]=>[4,6,2,1,7,5,3,8]=>[8,3,5,7,1,2,6,4]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [6,3,1,4,7,5,2,8]=>[1,3,4,6,7,5,2,8]=>[8,2,5,7,6,4,3,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>11 [6,3,1,4,8,7,5,2]=>[8,1,3,4,6,7,5,2]=>[2,5,7,6,4,3,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>14 [8,5,7,6,3,1,4,2]=>[1,8,5,3,7,6,4,2]=>[2,4,6,7,3,5,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>23 [1,8,2,5,7,6,4,3]=>[8,5,7,6,1,4,2,3]=>[3,2,4,1,6,7,5,8]=>[[1,3,5,6,8],[2,7],[4]]=>14 [1,8,2,6,4,7,5,3]=>[1,6,8,7,4,5,2,3]=>[3,2,5,4,7,8,6,1]=>[[1,3,5,6],[2,4,7],[8]]=>13 [6,3,8,7,4,1,5,2]=>[8,6,3,1,4,7,5,2]=>[2,5,7,4,1,3,6,8]=>[[1,2,3,8],[4,6,7],[5]]=>19 [6,3,7,4,1,5,2,8]=>[6,3,1,4,7,5,2,8]=>[8,2,5,7,4,1,3,6]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [7,4,1,8,6,3,5,2]=>[7,8,4,1,3,6,5,2]=>[2,5,6,3,1,4,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>18 [8,4,6,3,1,7,5,2]=>[1,4,3,8,6,7,5,2]=>[2,5,7,6,8,3,4,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [6,4,7,5,2,1,8,3]=>[4,6,2,1,7,5,8,3]=>[3,8,5,7,1,2,6,4]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [1,6,4,7,5,3,8,2]=>[4,6,7,5,3,8,1,2]=>[2,1,8,3,5,7,6,4]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [8,6,3,5,2,7,4,1]=>[6,3,2,5,8,7,4,1]=>[1,4,7,8,5,2,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>21 [6,3,5,2,8,7,4,1]=>[6,3,8,2,5,7,4,1]=>[1,4,7,5,2,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>17 [6,3,5,2,7,4,1,8]=>[6,3,2,5,7,4,1,8]=>[8,1,4,7,5,2,3,6]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [4,5,7,2,6,3,1,8]=>[4,5,7,2,6,3,1,8]=>[8,1,3,6,2,7,5,4]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [3,5,8,4,6,1,7,2]=>[8,3,5,4,1,6,7,2]=>[2,7,6,1,4,5,3,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [1,4,7,3,5,2,6,8]=>[4,3,7,5,1,2,6,8]=>[8,6,2,1,5,7,3,4]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [4,2,6,3,5,7,1,8]=>[4,2,6,3,5,7,1,8]=>[8,1,7,5,3,6,2,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [1,4,5,8,2,7,3,6]=>[4,8,5,1,7,2,3,6]=>[6,3,2,7,1,5,8,4]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [8,3,4,7,1,6,5,2]=>[8,3,4,7,1,6,5,2]=>[2,5,6,1,7,4,3,8]=>[[1,2,3,5,8],[4,6],[7]]=>18 [8,3,4,6,5,1,7,2]=>[6,3,4,1,5,8,7,2]=>[2,7,8,5,1,4,3,6]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [6,1,3,7,4,2,5,8]=>[6,3,4,1,2,7,5,8]=>[8,5,7,2,1,4,3,6]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [4,8,2,3,1,6,7,5]=>[2,4,3,6,8,7,1,5]=>[5,1,7,8,6,3,4,2]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [3,2,6,8,1,5,7,4]=>[8,6,3,2,5,7,1,4]=>[4,1,7,5,2,3,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>12 [8,2,6,1,5,4,7,3]=>[8,2,6,1,5,4,7,3]=>[3,7,4,5,1,6,2,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [6,3,7,2,8,1,5,4]=>[6,3,7,2,8,1,5,4]=>[4,5,1,8,2,7,3,6]=>[[1,2,4,8],[3,5,6],[7]]=>16 [7,5,2,8,6,1,4,3]=>[2,7,5,8,1,6,4,3]=>[3,4,6,1,8,5,7,2]=>[[1,2,3,5],[4,6,7],[8]]=>19 [2,7,3,8,1,5,6,4]=>[2,7,3,5,8,6,1,4]=>[4,1,6,8,5,3,7,2]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [4,5,7,2,8,1,6,3]=>[4,5,7,2,8,1,6,3]=>[3,6,1,8,2,7,5,4]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [4,8,1,6,2,3,7,5]=>[1,4,2,6,8,7,3,5]=>[5,3,7,8,6,2,4,1]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [4,5,3,1,7,2,6,8]=>[4,5,3,1,7,2,6,8]=>[8,6,2,7,1,3,5,4]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [4,7,3,1,2,6,5,8]=>[1,4,3,7,6,2,5,8]=>[8,5,2,6,7,3,4,1]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [7,8,1,2,4,3,6,5]=>[4,1,2,3,7,8,6,5]=>[5,6,8,7,3,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [4,8,3,1,2,5,7,6]=>[1,4,3,8,2,7,5,6]=>[6,5,7,2,8,3,4,1]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [4,1,3,6,5,7,8,2]=>[4,6,1,3,5,7,8,2]=>[2,8,7,5,3,1,6,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [6,1,3,4,2,8,5,7]=>[3,4,6,1,2,8,5,7]=>[7,5,8,2,1,6,4,3]=>[[1,3],[2,6],[4,7],[5,8]]=>9 [8,1,4,3,5,7,6,2]=>[4,8,1,3,7,5,6,2]=>[2,6,5,7,3,1,8,4]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [5,2,4,1,3,7,8,6]=>[5,2,1,4,7,8,3,6]=>[6,3,8,7,4,1,2,5]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [1,7,4,3,6,8,2,5]=>[4,7,6,8,1,3,2,5]=>[5,2,3,1,8,6,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>12 [2,8,4,6,3,7,5,1]=>[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>16 [3,8,6,5,7,1,4,2]=>[6,5,3,8,7,1,4,2]=>[2,4,1,7,8,3,5,6]=>[[1,2,4,5],[3,6,7,8]]=>19 [4,8,6,2,7,1,5,3]=>[4,6,2,8,7,1,5,3]=>[3,5,1,7,8,2,6,4]=>[[1,2,4,5],[3,6,7],[8]]=>18 [4,7,5,3,8,2,1,6]=>[4,7,5,8,3,2,1,6]=>[6,1,2,3,8,5,7,4]=>[[1,3,4,5,7],[2,6],[8]]=>17 [1,6,5,8,3,4,2,7]=>[6,3,8,5,4,1,2,7]=>[7,2,1,4,5,8,3,6]=>[[1,4,5,6],[2,7,8],[3]]=>13 [6,3,5,8,7,4,1,2]=>[6,8,3,5,1,7,4,2]=>[2,4,7,1,5,3,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>19 [1,4,8,7,3,5,6,2]=>[4,3,8,7,5,6,1,2]=>[2,1,6,5,7,8,3,4]=>[[1,3,5,6],[2,4,8],[7]]=>14 [4,7,6,8,5,3,1,2]=>[7,6,8,4,1,5,3,2]=>[2,3,5,1,4,8,6,7]=>[[1,2,3,6,8],[4,5,7]]=>21 [3,8,7,5,6,4,2,1]=>[5,8,7,6,3,4,2,1]=>[1,2,4,3,6,7,8,5]=>[[1,2,3,5,6,7],[4,8]]=>22 [2,8,7,6,4,5,3,1]=>[4,8,7,6,5,2,3,1]=>[1,3,2,5,6,7,8,4]=>[[1,2,4,5,6,7],[3,8]]=>21 [1,8,7,6,5,3,4,2]=>[3,8,7,6,5,4,1,2]=>[2,1,4,5,6,7,8,3]=>[[1,3,4,5,6,7],[2,8]]=>20 [3,6,7,4,8,1,5,2]=>[6,3,7,4,8,1,5,2]=>[2,5,1,8,4,7,3,6]=>[[1,2,4],[3,5,6],[7,8]]=>16 [1,4,7,8,2,6,5,3]=>[4,7,8,6,1,5,2,3]=>[3,2,5,1,6,8,7,4]=>[[1,3,5,6],[2,7],[4,8]]=>13 [2,4,7,8,1,6,5,3]=>[7,4,8,6,2,5,1,3]=>[3,1,5,2,6,8,4,7]=>[[1,3,5,6],[2,4,7,8]]=>14 [3,1,7,8,2,6,5,4]=>[3,7,8,6,1,5,2,4]=>[4,2,5,1,6,8,7,3]=>[[1,3,5,6],[2,7],[4,8]]=>13 [6,1,3,8,2,7,5,4]=>[6,8,3,7,1,2,5,4]=>[4,5,2,1,7,3,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>13 [5,1,8,4,2,7,6,3]=>[1,5,8,7,2,4,6,3]=>[3,6,4,2,7,8,5,1]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [8,2,6,1,7,5,4,3]=>[2,8,6,7,5,1,4,3]=>[3,4,1,5,7,6,8,2]=>[[1,2,4,5,7],[3,6],[8]]=>18 [2,7,3,8,1,6,5,4]=>[2,7,8,3,6,5,1,4]=>[4,1,5,6,3,8,7,2]=>[[1,3,4,6],[2,5,7],[8]]=>14 [2,6,8,4,1,7,5,3]=>[6,4,8,2,7,5,1,3]=>[3,1,5,7,2,8,4,6]=>[[1,3,4,6],[2,5,7,8]]=>15 [3,6,1,8,2,7,5,4]=>[3,8,1,6,7,5,2,4]=>[4,2,5,7,6,1,8,3]=>[[1,3,4,7],[2,5],[6,8]]=>13 [5,7,4,1,2,8,6,3]=>[1,2,7,5,8,4,6,3]=>[3,6,4,8,5,7,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [6,2,1,8,3,7,5,4]=>[6,8,2,7,1,3,5,4]=>[4,5,3,1,7,2,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>13 [8,5,3,7,2,4,6,1]=>[5,3,2,8,4,7,6,1]=>[1,6,7,4,8,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>20 [1,7,2,4,8,5,3,6]=>[7,1,8,2,4,5,3,6]=>[6,3,5,4,2,8,1,7]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [2,7,5,8,4,1,3,6]=>[7,8,5,2,1,4,3,6]=>[6,3,4,1,2,5,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>15 [3,7,8,2,1,5,4,6]=>[3,2,1,7,8,5,4,6]=>[6,4,5,8,7,1,2,3]=>[[1,3,4],[2,5,8],[6,7]]=>14 [8,5,1,4,7,3,6,2]=>[5,8,4,1,3,7,6,2]=>[2,6,7,3,1,4,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>18 [8,4,7,5,3,6,1,2]=>[4,8,5,3,1,7,6,2]=>[2,6,7,1,3,5,8,4]=>[[1,2,3,7],[4,5,6],[8]]=>22 [3,5,8,6,7,4,1,2]=>[5,8,6,7,3,1,4,2]=>[2,4,1,3,7,6,8,5]=>[[1,2,5,7],[3,4,6],[8]]=>18 [4,7,1,3,6,8,2,5]=>[1,7,4,6,8,3,2,5]=>[5,2,3,8,6,4,7,1]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [3,7,6,4,8,1,2,5]=>[3,7,6,1,8,4,2,5]=>[5,2,4,8,1,6,7,3]=>[[1,3,4,7],[2,6],[5,8]]=>16 [3,7,5,4,2,1,8,6]=>[7,3,5,4,2,8,1,6]=>[6,1,8,2,4,5,3,7]=>[[1,3,5,6,8],[2,4],[7]]=>14 [1,4,6,3,2,7,8,5]=>[6,4,3,7,8,1,2,5]=>[5,2,1,8,7,3,4,6]=>[[1,4,7,8],[2,5],[3,6]]=>8 [1,7,8,6,5,3,2,4]=>[1,7,8,6,5,3,2,4]=>[4,2,3,5,6,8,7,1]=>[[1,3,4,5,6],[2,7],[8]]=>18 [8,7,2,4,6,5,3,1]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[[1,2,3,4,6,8],[5],[7]]=>22 [8,7,3,2,1,5,6,4]=>[3,8,2,1,5,7,6,4]=>[4,6,7,5,1,2,8,3]=>[[1,2,3,7],[4,6,8],[5]]=>18 [8,2,6,7,3,1,5,4]=>[2,6,3,8,7,1,5,4]=>[4,5,1,7,8,3,6,2]=>[[1,2,4,5],[3,6,7],[8]]=>18 [1,7,2,8,5,6,4,3]=>[7,5,8,6,1,4,2,3]=>[3,2,4,1,6,8,5,7]=>[[1,3,5,6],[2,7,8],[4]]=>14 [2,7,1,8,4,6,5,3]=>[2,7,8,4,6,5,1,3]=>[3,1,5,6,4,8,7,2]=>[[1,3,4,6],[2,5,7],[8]]=>14 [3,7,8,2,1,6,5,4]=>[3,2,7,8,6,5,1,4]=>[4,1,5,6,8,7,2,3]=>[[1,3,4,5],[2,6,8],[7]]=>16 [8,7,6,1,4,5,3,2]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[[1,2,3,4,6,7],[5],[8]]=>23 [4,8,1,2,3,7,5,6]=>[4,1,2,8,3,7,5,6]=>[6,5,7,3,8,2,1,4]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [1,8,2,3,6,5,4,7]=>[8,6,1,2,3,5,4,7]=>[7,4,5,3,2,1,6,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>9 [3,5,8,4,7,2,6,1]=>[5,8,7,3,4,2,6,1]=>[1,6,2,4,3,7,8,5]=>[[1,2,4,6,7],[3,8],[5]]=>17 [3,8,5,4,6,1,2,7]=>[5,3,4,1,8,6,2,7]=>[7,2,6,8,1,4,3,5]=>[[1,3,4],[2,6,8],[5],[7]]=>15 [2,8,5,4,6,3,1,7]=>[8,2,5,4,6,3,1,7]=>[7,1,3,6,4,5,2,8]=>[[1,3,4,6,8],[2],[5],[7]]=>15 [1,8,5,4,6,3,2,7]=>[5,4,8,6,1,3,2,7]=>[7,2,3,1,6,8,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>14 [2,5,8,4,7,3,6,1]=>[5,8,7,4,2,3,6,1]=>[1,6,3,2,4,7,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>16 [3,6,4,2,7,8,5,1]=>[3,6,4,7,8,2,5,1]=>[1,5,2,8,7,4,6,3]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [3,5,4,1,6,2,7,8]=>[5,3,1,4,6,2,7,8]=>[8,7,2,6,4,1,3,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [1,5,8,4,7,3,6,2]=>[5,8,7,4,3,6,1,2]=>[2,1,6,3,4,7,8,5]=>[[1,3,5,6,7],[2,4,8]]=>15 [1,6,4,3,7,8,5,2]=>[4,3,6,7,8,5,1,2]=>[2,1,5,8,7,6,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [7,6,1,3,8,4,2,5]=>[7,1,6,3,4,2,8,5]=>[5,8,2,4,3,6,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [2,6,4,3,7,1,8,5]=>[6,2,4,7,3,8,1,5]=>[5,1,8,3,7,4,2,6]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [7,2,3,4,8,6,5,1]=>[7,8,2,3,4,6,5,1]=>[1,5,6,4,3,2,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [1,2,4,3,8,5,7,6]=>[4,8,7,1,2,3,5,6]=>[6,5,3,2,1,7,8,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [7,3,8,6,1,4,2,5]=>[1,7,3,8,4,2,6,5]=>[5,6,2,4,8,3,7,1]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [7,2,3,8,5,6,4,1]=>[7,2,8,3,5,6,4,1]=>[1,4,6,5,3,8,2,7]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [1,5,8,4,7,6,2,3]=>[5,8,7,4,1,6,2,3]=>[3,2,6,1,4,7,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>15 [3,5,8,1,6,7,2,4]=>[5,3,8,6,1,7,2,4]=>[4,2,7,1,6,8,3,5]=>[[1,3,6],[2,5,8],[4,7]]=>14 [7,1,3,8,2,6,5,4]=>[3,7,8,6,1,2,5,4]=>[4,5,2,1,6,8,7,3]=>[[1,2,5,6],[3,7],[4,8]]=>14 [4,1,6,5,8,2,7,3]=>[6,4,5,8,1,2,7,3]=>[3,7,2,1,8,5,4,6]=>[[1,2,5],[3,6,8],[4,7]]=>12 [3,2,6,5,8,4,7,1]=>[6,8,3,5,2,4,7,1]=>[1,7,4,2,5,3,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>13 [5,2,6,4,8,3,7,1]=>[5,6,8,2,4,3,7,1]=>[1,7,3,4,2,8,6,5]=>[[1,2,4,6],[3,7],[5,8]]=>15 [5,1,6,4,8,3,7,2]=>[5,6,8,4,1,3,7,2]=>[2,7,3,1,4,8,6,5]=>[[1,2,5,6],[3,7],[4,8]]=>14 [5,1,6,4,8,2,7,3]=>[5,6,4,8,1,2,7,3]=>[3,7,2,1,8,4,6,5]=>[[1,2,5],[3,6,7],[4,8]]=>13 [4,3,7,5,8,1,6,2]=>[7,4,3,5,8,1,6,2]=>[2,6,1,8,5,3,4,7]=>[[1,2,4,8],[3,5,7],[6]]=>15 [4,3,7,5,8,2,6,1]=>[7,4,8,3,5,2,6,1]=>[1,6,2,5,3,8,4,7]=>[[1,2,4,6,8],[3,7],[5]]=>16 [5,3,7,4,8,2,6,1]=>[5,3,7,8,4,2,6,1]=>[1,6,2,4,8,7,3,5]=>[[1,2,4,5],[3,6],[7,8]]=>17 [5,3,7,4,8,1,6,2]=>[5,3,7,4,8,1,6,2]=>[2,6,1,8,4,7,3,5]=>[[1,2,4],[3,5,6],[7,8]]=>16 [5,4,8,1,6,2,7,3]=>[5,1,8,4,2,6,7,3]=>[3,7,6,2,4,8,1,5]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [4,3,7,2,6,1,8,5]=>[7,4,3,6,2,8,1,5]=>[5,1,8,2,6,3,4,7]=>[[1,3,5,7,8],[2,4],[6]]=>13 [4,3,7,1,6,2,8,5]=>[7,4,3,1,6,8,2,5]=>[5,2,8,6,1,3,4,7]=>[[1,3,7,8],[2,4],[5,6]]=>12 [5,4,8,2,6,3,7,1]=>[2,8,5,4,6,3,7,1]=>[1,7,3,6,4,5,8,2]=>[[1,2,4,6,7],[3],[5],[8]]=>17 [5,4,8,1,6,3,7,2]=>[5,4,8,1,6,3,7,2]=>[2,7,3,6,1,8,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>16 [4,1,7,5,2,3,6,8]=>[4,1,7,2,5,3,6,8]=>[8,6,3,5,2,7,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [4,7,2,6,3,1,5,8]=>[4,2,7,6,3,1,5,8]=>[8,5,1,3,6,7,2,4]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [4,1,8,7,6,3,2,5]=>[4,8,7,1,6,3,2,5]=>[5,2,3,6,1,7,8,4]=>[[1,3,4,6,7],[2,8],[5]]=>16 [5,1,8,6,7,3,2,4]=>[5,8,6,3,1,2,7,4]=>[4,7,2,1,3,6,8,5]=>[[1,2,6,7],[3,5],[4,8]]=>16 [4,1,7,8,6,3,2,5]=>[7,4,8,1,6,3,2,5]=>[5,2,3,6,1,8,4,7]=>[[1,3,4,6],[2,7,8],[5]]=>15 [4,7,2,8,3,5,1,6]=>[4,2,7,3,8,5,1,6]=>[6,1,5,8,3,7,2,4]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [1,2,6,8,3,7,4,5]=>[6,1,8,2,7,3,4,5]=>[5,4,3,7,2,8,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [7,5,8,4,3,1,6,2]=>[5,1,7,4,3,8,6,2]=>[2,6,8,3,4,7,1,5]=>[[1,2,3,6],[4,5],[7,8]]=>21 [6,7,5,2,8,4,1,3]=>[2,6,7,5,1,8,4,3]=>[3,4,8,1,5,7,6,2]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [8,4,6,5,7,3,2,1]=>[6,4,5,8,7,3,2,1]=>[1,2,3,7,8,5,4,6]=>[[1,2,3,4,5],[6,8],[7]]=>23 [5,2,7,6,3,8,4,1]=>[7,5,2,3,6,8,4,1]=>[1,4,8,6,3,2,5,7]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [2,8,4,7,6,3,5,1]=>[8,7,6,2,4,3,5,1]=>[1,5,3,4,2,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>18 [7,1,2,6,5,8,4,3]=>[7,6,5,8,1,2,4,3]=>[3,4,2,1,8,5,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>14 [8,4,6,5,7,3,1,2]=>[6,4,5,1,8,7,3,2]=>[2,3,7,8,1,5,4,6]=>[[1,2,3,4],[5,6,8],[7]]=>22 [7,3,4,6,2,8,5,1]=>[7,3,4,2,6,8,5,1]=>[1,5,8,6,2,4,3,7]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [4,2,7,3,8,5,6,1]=>[7,4,2,8,3,5,6,1]=>[1,6,5,3,8,2,4,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [4,5,2,6,8,3,7,1]=>[4,8,2,5,6,3,7,1]=>[1,7,3,6,5,2,8,4]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [7,2,4,3,8,5,6,1]=>[4,7,2,3,5,8,6,1]=>[1,6,8,5,3,2,7,4]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [6,8,5,3,4,7,2,1]=>[3,8,6,5,4,7,2,1]=>[1,2,7,4,5,6,8,3]=>[[1,2,3,5,6,7],[4],[8]]=>22 [2,4,7,6,1,5,8,3]=>[7,6,4,2,5,8,1,3]=>[3,1,8,5,2,4,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>12 [8,2,6,7,5,1,4,3]=>[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[[1,2,4,5,6],[3,7,8]]=>20 [8,4,7,6,2,3,5,1]=>[2,8,7,4,3,6,5,1]=>[1,5,6,3,4,7,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>22 [6,8,4,1,5,3,7,2]=>[1,8,4,6,5,3,7,2]=>[2,7,3,5,6,4,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>18 [6,8,3,4,7,2,5,1]=>[3,6,8,4,2,7,5,1]=>[1,5,7,2,4,8,6,3]=>[[1,2,3,6],[4,5,7],[8]]=>20 [4,7,6,2,5,8,3,1]=>[4,7,6,2,5,8,3,1]=>[1,3,8,5,2,6,7,4]=>[[1,2,3,6,7],[4,8],[5]]=>18 [1,8,3,5,2,6,7,4]=>[5,1,3,8,6,7,2,4]=>[4,2,7,6,8,3,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [6,8,3,5,1,4,7,2]=>[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[[1,2,4,5,7],[3,8],[6]]=>18 [6,1,5,8,4,3,7,2]=>[6,8,5,4,1,3,7,2]=>[2,7,3,1,4,5,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>16 [1,7,2,6,5,8,4,3]=>[7,6,5,8,1,4,2,3]=>[3,2,4,1,8,5,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>13 [7,1,6,5,8,4,2,3]=>[7,6,5,1,8,2,4,3]=>[3,4,2,8,1,5,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>18 [7,5,3,4,8,2,6,1]=>[3,5,4,7,2,8,6,1]=>[1,6,8,2,7,4,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [6,7,2,8,5,4,3,1]=>[6,7,8,2,5,4,3,1]=>[1,3,4,5,2,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>21 [3,7,4,6,2,8,5,1]=>[7,3,6,4,8,2,5,1]=>[1,5,2,8,4,6,3,7]=>[[1,2,4,6,8],[3,5],[7]]=>16 [7,4,2,3,8,5,6,1]=>[2,4,7,3,5,8,6,1]=>[1,6,8,5,3,7,4,2]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [6,8,5,4,2,3,7,1]=>[2,8,6,5,4,3,7,1]=>[1,7,3,4,5,6,8,2]=>[[1,2,4,5,6,7],[3],[8]]=>21 [6,8,4,7,1,3,5,2]=>[6,4,1,8,3,7,5,2]=>[2,5,7,3,8,1,4,6]=>[[1,2,3,5],[4,7,8],[6]]=>20 [5,8,2,4,3,7,6,1]=>[5,2,4,8,7,3,6,1]=>[1,6,3,7,8,4,2,5]=>[[1,2,4,5],[3,6,8],[7]]=>17 [6,8,3,4,5,2,7,1]=>[3,4,8,6,5,2,7,1]=>[1,7,2,5,6,8,4,3]=>[[1,2,4,5,6],[3],[7],[8]]=>19 [6,7,1,5,3,8,4,2]=>[6,1,7,3,5,8,4,2]=>[2,4,8,5,3,7,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [7,4,6,3,2,8,5,1]=>[7,4,3,2,6,8,5,1]=>[1,5,8,6,2,3,4,7]=>[[1,2,3,7,8],[4,6],[5]]=>19 [8,2,1,3,5,4,7,6]=>[2,5,8,1,3,4,7,6]=>[6,7,4,3,1,8,5,2]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [8,1,3,4,2,6,5,7]=>[3,4,6,1,2,5,8,7]=>[7,8,5,2,1,6,4,3]=>[[1,2],[3,6],[4,7],[5,8]]=>10 [8,1,3,4,2,5,7,6]=>[3,4,8,1,2,5,7,6]=>[6,7,5,2,1,8,4,3]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [8,1,3,2,5,6,4,7]=>[3,5,6,1,2,4,8,7]=>[7,8,4,2,1,6,5,3]=>[[1,2],[3,6],[4,7],[5,8]]=>10 [6,5,3,8,4,2,7,1]=>[6,5,3,8,4,2,7,1]=>[1,7,2,4,8,3,5,6]=>[[1,2,4,5,8],[3,7],[6]]=>19 [4,7,3,5,6,2,8,1]=>[4,3,7,5,6,2,8,1]=>[1,8,2,6,5,7,3,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [8,3,6,1,5,7,4,2]=>[3,8,6,1,5,7,4,2]=>[2,4,7,5,1,6,8,3]=>[[1,2,3,6,7],[4,8],[5]]=>18 [2,7,3,5,8,6,4,1]=>[2,7,8,5,6,3,4,1]=>[1,4,3,6,5,8,7,2]=>[[1,2,4,6],[3,5,7],[8]]=>15 [3,2,7,5,8,6,1,4]=>[3,7,8,5,6,2,1,4]=>[4,1,2,6,5,8,7,3]=>[[1,3,4,6],[2,5,7],[8]]=>14 [2,5,4,7,8,1,6,3]=>[5,7,8,4,2,6,1,3]=>[3,1,6,2,4,8,7,5]=>[[1,3,5,6],[2,4,7],[8]]=>13 [2,4,6,7,8,1,5,3]=>[6,7,8,4,2,5,1,3]=>[3,1,5,2,4,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>13 [2,4,7,6,1,8,5,3]=>[7,6,4,8,2,5,1,3]=>[3,1,5,2,8,4,6,7]=>[[1,3,5,7,8],[2,4,6]]=>13 [2,4,6,8,1,7,5,3]=>[8,6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6,8]=>[[1,3,5,7,8],[2,4,6]]=>13 [7,3,6,8,2,5,1,4]=>[7,6,3,8,2,1,5,4]=>[4,5,1,2,8,3,6,7]=>[[1,2,5,7,8],[3,4,6]]=>19 [5,7,3,8,6,2,1,4]=>[5,7,8,3,2,1,6,4]=>[4,6,1,2,3,8,7,5]=>[[1,2,5,6],[3,4,7],[8]]=>19 [7,4,3,8,6,2,1,5]=>[4,7,8,3,2,1,6,5]=>[5,6,1,2,3,8,7,4]=>[[1,2,5,6],[3,4,7],[8]]=>19 [2,4,7,8,3,5,6,1]=>[2,7,8,4,3,5,6,1]=>[1,6,5,3,4,8,7,2]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [3,4,7,2,8,5,1,6]=>[3,7,8,4,2,5,1,6]=>[6,1,5,2,4,8,7,3]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [3,2,7,6,1,8,4,5]=>[7,6,3,8,2,1,4,5]=>[5,4,1,2,8,3,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>12 [3,2,6,8,1,7,4,5]=>[8,6,3,7,2,1,4,5]=>[5,4,1,2,7,3,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>12 [4,3,6,2,1,8,5,7]=>[4,6,3,8,2,1,5,7]=>[7,5,1,2,8,3,6,4]=>[[1,4,5,7],[2,6],[3,8]]=>11 [3,6,4,2,5,8,1,7]=>[3,6,4,8,2,5,1,7]=>[7,1,5,2,8,4,6,3]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [4,6,2,3,5,8,7,1]=>[2,6,4,8,3,5,7,1]=>[1,7,5,3,8,4,6,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [4,6,2,3,7,5,8,1]=>[2,6,4,7,3,5,8,1]=>[1,8,5,3,7,4,6,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [3,6,4,2,7,5,1,8]=>[3,6,4,7,2,5,1,8]=>[8,1,5,2,7,4,6,3]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [4,3,6,2,7,1,5,8]=>[4,6,3,7,2,1,5,8]=>[8,5,1,2,7,3,6,4]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [3,6,5,2,1,7,4,8]=>[6,5,3,2,7,1,4,8]=>[8,4,1,7,2,3,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>11 [7,4,6,3,2,1,5,8]=>[7,4,3,2,1,6,5,8]=>[8,5,6,1,2,3,4,7]=>[[1,3,6,7,8],[2,5],[4]]=>16 [5,8,4,2,3,6,7,1]=>[2,5,4,3,8,6,7,1]=>[1,7,6,8,3,4,5,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [6,4,8,3,2,1,5,7]=>[6,4,3,2,1,8,5,7]=>[7,5,8,1,2,3,4,6]=>[[1,3,6,7,8],[2,5],[4]]=>16 [8,4,5,3,2,1,7,6]=>[4,5,3,2,8,1,7,6]=>[6,7,1,8,2,3,5,4]=>[[1,2,4,7],[3,5,6],[8]]=>17 [5,8,3,4,2,1,7,6]=>[3,5,4,2,8,7,1,6]=>[6,1,7,8,2,4,5,3]=>[[1,3,4,7],[2,5,6],[8]]=>16 [6,8,4,2,3,7,5,1]=>[2,6,4,8,3,7,5,1]=>[1,5,7,3,8,4,6,2]=>[[1,2,3,5],[4,6,7],[8]]=>19 [3,6,4,2,1,8,7,5]=>[3,6,4,8,2,7,1,5]=>[5,1,7,2,8,4,6,3]=>[[1,3,5,7],[2,4,6],[8]]=>12 [6,4,8,3,2,7,1,5]=>[4,6,3,8,2,1,7,5]=>[5,7,1,2,8,3,6,4]=>[[1,2,5,7],[3,4,6],[8]]=>18 [5,6,8,3,2,7,1,4]=>[5,6,3,8,2,1,7,4]=>[4,7,1,2,8,3,6,5]=>[[1,2,5,7],[3,4,6],[8]]=>18 [5,8,3,7,2,1,6,4]=>[8,5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5,8]=>[[1,2,4,7,8],[3,5,6]]=>18 [2,8,5,7,4,1,6,3]=>[8,5,4,2,7,6,1,3]=>[3,1,6,7,2,4,5,8]=>[[1,3,4,7,8],[2,5,6]]=>17 [2,8,6,5,4,1,7,3]=>[6,5,4,2,8,7,1,3]=>[3,1,7,8,2,4,5,6]=>[[1,3,4,7,8],[2,5,6]]=>17 [2,5,6,4,1,8,7,3]=>[5,6,4,8,2,7,1,3]=>[3,1,7,2,8,4,6,5]=>[[1,3,5,7],[2,4,6],[8]]=>12 [3,8,6,2,5,7,1,4]=>[3,6,5,8,7,2,1,4]=>[4,1,2,7,8,5,6,3]=>[[1,3,4,5],[2,6,7],[8]]=>17 [2,8,6,5,3,7,4,1]=>[2,6,5,8,7,3,4,1]=>[1,4,3,7,8,5,6,2]=>[[1,2,4,5],[3,6,7],[8]]=>18 [2,5,6,4,7,1,8,3]=>[5,6,4,7,2,8,1,3]=>[3,1,8,2,7,4,6,5]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [2,6,5,4,1,7,8,3]=>[6,5,4,2,7,8,1,3]=>[3,1,8,7,2,4,5,6]=>[[1,3,6,7,8],[2,4],[5]]=>12 [2,5,4,8,1,6,7,3]=>[8,5,4,2,6,7,1,3]=>[3,1,7,6,2,4,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>12 [5,7,6,3,2,8,1,4]=>[7,5,3,2,6,1,8,4]=>[4,8,1,6,2,3,5,7]=>[[1,2,6,7,8],[3,4],[5]]=>18 [6,5,7,3,2,8,1,4]=>[6,5,3,2,7,1,8,4]=>[4,8,1,7,2,3,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>18 [6,4,7,3,8,2,1,5]=>[4,6,3,7,2,1,8,5]=>[5,8,1,2,7,3,6,4]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [3,6,4,2,7,1,8,5]=>[3,6,4,7,2,8,1,5]=>[5,1,8,2,7,4,6,3]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [7,5,4,2,3,8,6,1]=>[2,5,4,3,7,8,6,1]=>[1,6,8,7,3,4,5,2]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [6,7,4,3,2,1,8,5]=>[6,4,3,2,1,7,8,5]=>[5,8,7,1,2,3,4,6]=>[[1,2,6,7,8],[3,5],[4]]=>17 [8,4,3,7,2,1,5,6]=>[8,4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4,8]=>[[1,2,6,7,8],[3,5],[4]]=>17 [8,4,6,3,2,1,5,7]=>[6,4,3,2,1,5,8,7]=>[7,8,5,1,2,3,4,6]=>[[1,2,6,7,8],[3,5],[4]]=>17 [4,6,3,2,1,5,7,8]=>[6,4,3,2,1,5,7,8]=>[8,7,5,1,2,3,4,6]=>[[1,5,6,7,8],[2],[3],[4]]=>10 [1,2,6,5,8,7,3,4]=>[6,8,5,1,7,2,3,4]=>[4,3,2,7,1,5,8,6]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [1,5,2,8,4,6,7,3]=>[8,1,5,4,6,7,2,3]=>[3,2,7,6,4,5,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [1,5,2,7,4,6,8,3]=>[7,5,1,4,6,8,2,3]=>[3,2,8,6,4,1,5,7]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [5,1,2,7,3,6,8,4]=>[5,7,1,2,3,6,8,4]=>[4,8,6,3,2,1,7,5]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [5,6,3,4,8,7,2,1]=>[5,3,6,8,4,7,2,1]=>[1,2,7,4,8,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>18 [6,5,3,4,8,7,2,1]=>[3,6,5,8,4,7,2,1]=>[1,2,7,4,8,5,6,3]=>[[1,2,3,5,7],[4,6],[8]]=>19 [4,1,2,8,3,6,7,5]=>[8,4,1,2,6,7,3,5]=>[5,3,7,6,2,1,4,8]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [4,1,2,7,3,6,5,8]=>[4,7,1,2,6,3,5,8]=>[8,5,3,6,2,1,7,4]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [6,1,7,2,3,5,4,8]=>[1,2,6,7,3,5,4,8]=>[8,4,5,3,7,6,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [1,6,7,2,4,5,3,8]=>[6,1,4,7,5,2,3,8]=>[8,3,2,5,7,4,1,6]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [1,6,8,2,4,5,3,7]=>[1,8,4,6,5,2,3,7]=>[7,3,2,5,6,4,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [5,8,1,2,3,4,7,6]=>[1,2,3,5,8,7,4,6]=>[6,4,7,8,5,3,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [6,1,8,2,3,5,7,4]=>[6,1,2,8,3,5,7,4]=>[4,7,5,3,8,2,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [4,3,8,7,5,6,2,1]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>19 [1,7,6,2,4,5,8,3]=>[1,7,4,6,5,8,2,3]=>[3,2,8,5,6,4,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [8,1,6,2,3,5,7,4]=>[8,1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>13 [8,1,7,2,3,5,6,4]=>[1,8,2,3,7,5,6,4]=>[4,6,5,7,3,2,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>14 [5,8,3,7,4,6,2,1]=>[5,3,8,7,4,6,2,1]=>[1,2,6,4,7,8,3,5]=>[[1,2,3,5,6],[4,8],[7]]=>21 [6,8,7,3,4,5,2,1]=>[3,8,6,4,7,5,2,1]=>[1,2,5,7,4,6,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>23 [1,8,7,2,4,5,3,6]=>[1,8,2,4,7,5,3,6]=>[6,3,5,7,4,2,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>13 [8,1,7,2,3,5,4,6]=>[8,1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [8,7,1,2,3,4,6,5]=>[8,1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>14 [8,6,1,2,3,4,7,5]=>[1,2,3,4,6,8,7,5]=>[5,7,8,6,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>13 [8,5,1,2,3,4,7,6]=>[1,2,3,5,8,4,7,6]=>[6,7,4,8,5,3,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [1,8,6,2,4,5,3,7]=>[1,8,2,6,4,5,3,7]=>[7,3,5,4,6,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [1,7,6,2,4,5,3,8]=>[1,7,4,6,5,2,3,8]=>[8,3,2,5,6,4,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [7,1,6,2,3,5,4,8]=>[7,1,2,6,3,5,4,8]=>[8,4,5,3,6,2,1,7]=>[[1,3,5,8],[2],[4],[6],[7]]=>11 [1,8,7,4,6,3,5,2]=>[8,4,3,7,6,5,1,2]=>[2,1,5,6,7,3,4,8]=>[[1,3,4,5,8],[2,6,7]]=>18 [4,7,2,6,1,8,5,3]=>[7,4,2,6,8,1,5,3]=>[3,5,1,8,6,2,4,7]=>[[1,2,4,8],[3,5,7],[6]]=>15 [6,3,7,5,1,4,8,2]=>[6,3,7,1,5,4,8,2]=>[2,8,4,5,1,7,3,6]=>[[1,2,4,6],[3,7,8],[5]]=>16 [4,2,5,8,7,3,6,1]=>[8,7,2,4,5,3,6,1]=>[1,6,3,5,4,2,7,8]=>[[1,2,4,7,8],[3],[5],[6]]=>15 [8,1,2,4,7,3,6,5]=>[4,8,7,1,2,3,6,5]=>[5,6,3,2,1,7,8,4]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [1,8,3,5,7,2,6,4]=>[8,7,1,5,3,6,2,4]=>[4,2,6,3,5,1,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>13 [2,3,4,6,8,5,7,1]=>[8,6,2,3,4,5,7,1]=>[1,7,5,4,3,2,6,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>10 [2,4,6,3,7,8,5,1]=>[6,4,7,8,2,3,5,1]=>[1,5,3,2,8,7,4,6]=>[[1,2,5,8],[3,6],[4,7]]=>12 [2,5,7,1,8,6,3,4]=>[5,7,8,2,1,6,3,4]=>[4,3,6,1,2,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>13 [8,1,3,5,2,7,4,6]=>[5,8,3,1,2,4,7,6]=>[6,7,4,2,1,3,8,5]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [1,3,8,5,2,4,6,7]=>[8,3,1,2,5,4,6,7]=>[7,6,4,5,2,1,3,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [4,5,6,1,3,7,8,2]=>[4,1,5,6,3,7,8,2]=>[2,8,7,3,6,5,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [3,4,1,8,5,2,6,7]=>[3,1,8,4,5,2,6,7]=>[7,6,2,5,4,8,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [2,4,8,1,5,3,6,7]=>[2,1,8,4,5,3,6,7]=>[7,6,3,5,4,8,1,2]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [5,8,3,1,4,2,6,7]=>[1,3,5,4,2,8,6,7]=>[7,6,8,2,4,5,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>13 [8,2,4,1,5,7,3,6]=>[4,8,2,5,1,3,7,6]=>[6,7,3,1,5,2,8,4]=>[[1,2,7],[3,5,8],[4,6]]=>13 [3,8,4,2,6,7,1,5]=>[3,4,6,8,7,2,1,5]=>[5,1,2,7,8,6,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [1,6,2,7,8,5,3,4]=>[6,7,1,8,2,5,3,4]=>[4,3,5,2,8,1,7,6]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [3,5,2,6,7,8,4,1]=>[5,3,6,7,8,2,4,1]=>[1,4,2,8,7,6,3,5]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [4,5,1,6,7,3,8,2]=>[1,4,5,6,7,3,8,2]=>[2,8,3,7,6,5,4,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>12 [8,5,3,1,7,4,2,6]=>[3,1,5,8,4,2,7,6]=>[6,7,2,4,8,5,1,3]=>[[1,2,5],[3,4,6],[7,8]]=>17 [4,2,8,7,1,5,3,6]=>[4,2,8,7,1,5,3,6]=>[6,3,5,1,7,8,2,4]=>[[1,3,5,6],[2,7,8],[4]]=>14 [5,2,7,1,6,8,3,4]=>[5,7,2,6,1,3,8,4]=>[4,8,3,1,6,2,7,5]=>[[1,2,7],[3,5,8],[4,6]]=>13 [5,7,3,2,6,8,1,4]=>[5,3,7,2,6,1,8,4]=>[4,8,1,6,2,7,3,5]=>[[1,2,6,8],[3,4,7],[5]]=>16 [6,7,1,2,3,5,8,4]=>[1,2,3,6,7,5,8,4]=>[4,8,5,7,6,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>12 [5,1,8,2,3,6,4,7]=>[1,2,5,8,3,6,4,7]=>[7,4,6,3,8,5,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [8,6,2,3,5,1,4,7]=>[6,2,3,1,5,4,8,7]=>[7,8,4,5,1,3,2,6]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [2,6,3,8,7,5,4,1]=>[8,6,7,2,5,3,4,1]=>[1,4,3,5,2,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [8,2,3,7,5,4,1,6]=>[8,2,5,3,4,1,7,6]=>[6,7,1,4,3,5,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [8,2,6,3,5,4,1,7]=>[6,2,5,3,4,1,8,7]=>[7,8,1,4,3,5,2,6]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [8,6,2,4,1,5,3,7]=>[2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [8,4,1,6,5,3,2,7]=>[6,4,5,1,3,2,8,7]=>[7,8,2,3,1,5,4,6]=>[[1,2,6,8],[3,4],[5,7]]=>16 [8,3,2,6,5,4,1,7]=>[6,3,5,2,4,1,8,7]=>[7,8,1,4,2,5,3,6]=>[[1,2,6,8],[3,4],[5,7]]=>16 [8,3,2,5,7,4,1,6]=>[8,3,5,2,4,1,7,6]=>[6,7,1,4,2,5,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>16 [8,3,1,7,5,4,2,6]=>[8,3,5,1,4,2,7,6]=>[6,7,2,4,1,5,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>16 [8,2,7,4,1,5,3,6]=>[2,1,8,4,5,3,7,6]=>[6,7,3,5,4,8,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [6,1,3,8,7,5,4,2]=>[8,6,7,1,5,3,4,2]=>[2,4,3,5,1,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [3,6,1,8,7,5,4,2]=>[8,6,7,3,5,1,4,2]=>[2,4,1,5,3,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>16 [3,8,1,5,7,6,4,2]=>[8,3,7,5,6,1,4,2]=>[2,4,1,6,5,7,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>16 [3,5,2,8,7,6,4,1]=>[8,5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>16 [3,4,8,7,1,6,5,2]=>[8,3,7,4,6,1,5,2]=>[2,5,1,6,4,7,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>16 [8,1,3,5,7,6,4,2]=>[8,1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>16 [4,1,8,5,7,6,3,2]=>[8,4,7,5,6,1,3,2]=>[2,3,1,6,5,7,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>16 [8,2,7,1,4,5,6,3]=>[2,1,8,4,7,5,6,3]=>[3,6,5,7,4,8,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [8,1,7,3,4,6,2,5]=>[8,1,7,3,4,2,6,5]=>[5,6,2,4,3,7,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [8,3,1,7,2,6,5,4]=>[8,3,7,1,6,2,5,4]=>[4,5,2,6,1,7,3,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [3,8,2,4,7,6,5,1]=>[8,3,7,2,6,4,5,1]=>[1,5,4,6,2,7,3,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [2,8,3,7,4,6,5,1]=>[8,2,7,3,6,4,5,1]=>[1,5,4,6,3,7,2,8]=>[[1,2,4,6,8],[3],[5],[7]]=>16 [8,2,3,7,1,6,5,4]=>[8,2,7,3,6,1,5,4]=>[4,5,1,6,3,7,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>16 [8,2,7,1,3,6,5,4]=>[8,2,7,1,6,3,5,4]=>[4,5,3,6,1,7,2,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [8,1,7,2,6,4,3,5]=>[8,1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [8,1,7,5,2,4,3,6]=>[8,1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [2,4,8,5,7,6,3,1]=>[8,4,7,5,6,2,3,1]=>[1,3,2,6,5,7,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>16 [8,2,4,3,7,6,1,5]=>[8,4,7,2,3,1,6,5]=>[5,6,1,3,2,7,4,8]=>[[1,2,6,8],[3,4,7],[5]]=>16 [8,2,7,3,5,1,4,6]=>[8,2,3,1,5,4,7,6]=>[6,7,4,5,1,3,2,8]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [8,2,7,4,3,1,5,6]=>[4,2,3,1,8,5,7,6]=>[6,7,5,8,1,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [8,2,1,5,7,6,4,3]=>[8,2,7,5,6,1,4,3]=>[3,4,1,6,5,7,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>16 [6,2,1,8,7,5,4,3]=>[8,6,7,2,5,1,4,3]=>[3,4,1,5,2,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>16 [6,1,8,2,7,5,4,3]=>[8,6,7,1,5,2,4,3]=>[3,4,2,5,1,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [8,1,7,3,5,2,6,4]=>[8,1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [8,1,5,2,7,6,4,3]=>[8,1,7,5,6,2,4,3]=>[3,4,2,6,5,7,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>16 [8,1,7,2,4,6,5,3]=>[8,1,7,2,6,4,5,3]=>[3,5,4,6,2,7,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>16 [8,2,4,1,7,6,5,3]=>[8,2,7,1,6,4,5,3]=>[3,5,4,6,1,7,2,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [4,2,8,3,7,6,5,1]=>[8,4,7,2,6,3,5,1]=>[1,5,3,6,2,7,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [4,8,2,1,7,6,5,3]=>[8,4,7,2,6,1,5,3]=>[3,5,1,6,2,7,4,8]=>[[1,2,4,6,8],[3,5,7]]=>16 [5,1,8,7,2,6,4,3]=>[8,5,7,1,6,2,4,3]=>[3,4,2,6,1,7,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [5,8,1,3,7,6,2,4]=>[8,5,7,1,3,2,6,4]=>[4,6,2,3,1,7,5,8]=>[[1,2,6,8],[3,4,7],[5]]=>16 [8,2,5,4,1,7,6,3]=>[2,1,8,5,7,4,6,3]=>[3,6,4,7,5,8,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>16 [5,1,4,8,7,6,3,2]=>[8,5,7,4,6,1,3,2]=>[2,3,1,6,4,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>16 [8,1,4,3,7,6,5,2]=>[8,1,7,4,6,3,5,2]=>[2,5,3,6,4,7,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>16 [4,8,1,3,7,6,5,2]=>[8,4,7,1,6,3,5,2]=>[2,5,3,6,1,7,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [4,3,8,1,7,6,5,2]=>[8,4,7,3,6,1,5,2]=>[2,5,1,6,3,7,4,8]=>[[1,2,4,6,8],[3,5,7]]=>16 [5,1,7,4,3,2,6,8]=>[5,7,1,4,3,2,6,8]=>[8,6,2,3,4,1,7,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [5,7,6,3,2,4,1,8]=>[7,5,3,2,6,4,1,8]=>[8,1,4,6,2,3,5,7]=>[[1,3,4,7,8],[2,6],[5]]=>17 [5,8,1,3,2,7,4,6]=>[3,5,1,2,8,7,4,6]=>[6,4,7,8,2,1,5,3]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [6,5,1,3,7,2,4,8]=>[1,6,3,5,2,7,4,8]=>[8,4,7,2,5,3,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [7,1,2,3,8,6,4,5]=>[7,1,8,2,3,4,6,5]=>[5,6,4,3,2,8,1,7]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [8,1,6,4,2,3,5,7]=>[1,6,2,4,3,5,8,7]=>[7,8,5,3,4,2,6,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [6,8,5,3,4,1,7,2]=>[3,1,8,6,5,4,7,2]=>[2,7,4,5,6,8,1,3]=>[[1,2,4,5,6],[3,8],[7]]=>20 [1,8,6,5,2,3,7,4]=>[1,2,6,5,8,7,3,4]=>[4,3,7,8,5,6,2,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [8,5,7,4,1,3,6,2]=>[8,1,5,4,3,7,6,2]=>[2,6,7,3,4,5,1,8]=>[[1,2,3,6,8],[4,5],[7]]=>21 [1,7,8,2,3,5,6,4]=>[7,1,2,5,8,6,3,4]=>[4,3,6,8,5,2,1,7]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [7,6,8,1,3,4,2,5]=>[1,7,3,6,4,2,8,5]=>[5,8,2,4,6,3,7,1]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [7,4,1,2,6,8,3,5]=>[7,1,2,4,6,3,8,5]=>[5,8,3,6,4,2,1,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [7,2,5,4,1,8,6,3]=>[7,2,1,5,8,4,6,3]=>[3,6,4,8,5,1,2,7]=>[[1,2,4,8],[3,5],[6,7]]=>15 [7,3,5,4,2,1,8,6]=>[5,3,4,2,1,7,8,6]=>[6,8,7,1,2,4,3,5]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [7,4,5,2,1,6,8,3]=>[4,2,1,5,7,6,8,3]=>[3,8,6,7,5,1,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [7,3,2,8,5,6,1,4]=>[7,8,3,2,5,1,6,4]=>[4,6,1,5,2,3,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>17 [1,5,2,4,7,8,3,6]=>[5,7,8,1,4,2,3,6]=>[6,3,2,4,1,8,7,5]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [3,5,1,2,8,6,7,4]=>[5,1,8,3,6,7,2,4]=>[4,2,7,6,3,8,1,5]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [2,5,3,4,7,8,1,6]=>[2,5,7,8,3,4,1,6]=>[6,1,4,3,8,7,5,2]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [1,7,4,3,6,8,5,2]=>[4,7,3,6,8,5,1,2]=>[2,1,5,8,6,3,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>13 [1,7,6,5,2,3,8,4]=>[1,2,7,6,5,8,3,4]=>[4,3,8,5,6,7,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [1,7,6,5,8,3,2,4]=>[1,7,6,5,8,3,2,4]=>[4,2,3,8,5,6,7,1]=>[[1,3,4,6,7],[2,5],[8]]=>16 [4,7,6,5,1,3,2,8]=>[4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]=>[[1,3,4,6,7],[2,8],[5]]=>16 [4,7,6,5,3,8,1,2]=>[7,6,4,5,3,1,8,2]=>[2,8,1,3,5,4,6,7]=>[[1,2,5,7,8],[3,4],[6]]=>19 [5,7,6,3,2,8,4,1]=>[7,5,3,2,6,8,4,1]=>[1,4,8,6,2,3,5,7]=>[[1,2,3,7,8],[4,6],[5]]=>19 [6,3,4,2,8,1,5,7]=>[3,4,6,2,1,8,5,7]=>[7,5,8,1,2,6,4,3]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [6,7,3,2,1,8,5,4]=>[3,2,1,6,7,8,5,4]=>[4,5,8,7,6,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [5,7,6,2,1,4,8,3]=>[5,2,7,1,6,4,8,3]=>[3,8,4,6,1,7,2,5]=>[[1,2,4,6],[3,7,8],[5]]=>16 [1,7,6,3,2,8,4,5]=>[1,7,3,6,2,8,4,5]=>[5,4,8,2,6,3,7,1]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [5,7,2,6,3,1,4,8]=>[5,2,7,3,1,6,4,8]=>[8,4,6,1,3,7,2,5]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [4,1,2,8,5,6,3,7]=>[8,4,1,2,5,6,3,7]=>[7,3,6,5,2,1,4,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [4,1,2,8,5,3,6,7]=>[1,4,8,2,5,3,6,7]=>[7,6,3,5,2,8,4,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [2,1,6,3,7,8,5,4]=>[2,6,7,8,5,1,3,4]=>[4,3,1,5,8,7,6,2]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [4,7,1,6,8,2,5,3]=>[7,4,1,6,8,2,5,3]=>[3,5,2,8,6,1,4,7]=>[[1,2,4,8],[3,5],[6,7]]=>15 [3,7,2,1,4,5,6,8]=>[3,2,1,4,7,5,6,8]=>[8,6,5,7,4,1,2,3]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [3,5,8,2,6,1,7,4]=>[5,3,8,6,2,7,1,4]=>[4,1,7,2,6,8,3,5]=>[[1,3,5,6],[2,4,8],[7]]=>14 [4,2,7,8,3,5,1,6]=>[7,2,8,4,3,5,1,6]=>[6,1,5,3,4,8,2,7]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [4,5,1,7,3,6,8,2]=>[7,1,4,5,3,6,8,2]=>[2,8,6,3,5,4,1,7]=>[[1,2,5,8],[3],[4],[6],[7]]=>12 [3,7,6,2,8,4,1,5]=>[3,7,6,2,8,4,1,5]=>[5,1,4,8,2,6,7,3]=>[[1,3,4,7],[2,6],[5,8]]=>16 [3,7,6,1,5,2,8,4]=>[3,1,7,6,5,8,2,4]=>[4,2,8,5,6,7,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>14 [3,7,6,5,8,4,1,2]=>[7,6,5,8,3,1,4,2]=>[2,4,1,3,8,5,6,7]=>[[1,2,5,7,8],[3,4,6]]=>19 [1,7,6,5,8,4,2,3]=>[7,6,5,1,8,4,2,3]=>[3,2,4,8,1,5,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>17 [3,7,6,5,8,1,2,4]=>[7,6,5,1,8,3,2,4]=>[4,2,3,8,1,5,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>17 [3,7,6,2,8,4,5,1]=>[3,7,6,2,8,4,5,1]=>[1,5,4,8,2,6,7,3]=>[[1,2,4,7],[3,6],[5,8]]=>17 [4,3,6,8,5,1,2,7]=>[8,4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4,8]=>[[1,3,6,8],[2,5,7],[4]]=>14 [3,7,6,1,5,4,8,2]=>[7,3,6,5,1,4,8,2]=>[2,8,4,1,5,6,3,7]=>[[1,2,5,6,8],[3,7],[4]]=>15 [2,7,1,5,8,4,3,6]=>[7,8,2,5,1,4,3,6]=>[6,3,4,1,5,2,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>12 [6,2,7,5,8,4,3,1]=>[6,7,5,8,2,4,3,1]=>[1,3,4,2,8,5,7,6]=>[[1,2,3,5,7],[4,6],[8]]=>19 [7,2,5,1,4,6,3,8]=>[2,7,1,5,4,6,3,8]=>[8,3,6,4,5,1,7,2]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [7,1,5,4,3,6,2,8]=>[7,5,1,4,3,6,2,8]=>[8,2,6,3,4,1,5,7]=>[[1,3,5,7,8],[2],[4],[6]]=>13 [7,2,6,3,4,5,1,8]=>[2,3,7,4,6,5,1,8]=>[8,1,5,6,4,7,3,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>14 [7,4,3,1,5,2,6,8]=>[1,4,3,5,2,7,6,8]=>[8,6,7,2,5,3,4,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [6,7,8,4,2,5,3,1]=>[6,2,7,4,8,5,3,1]=>[1,3,5,8,4,7,2,6]=>[[1,2,3,4],[5,6],[7,8]]=>22 [6,1,2,5,7,8,4,3]=>[6,5,7,8,1,2,4,3]=>[3,4,2,1,8,7,5,6]=>[[1,2,5,8],[3,6],[4,7]]=>12 [3,7,8,6,2,5,1,4]=>[7,3,8,6,5,2,1,4]=>[4,1,2,5,6,8,3,7]=>[[1,3,4,5,6],[2,7,8]]=>19 [3,6,1,4,8,7,5,2]=>[6,8,3,7,1,4,5,2]=>[2,5,4,1,7,3,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>13 [4,7,3,1,6,2,8,5]=>[4,3,1,7,6,8,2,5]=>[5,2,8,6,7,1,3,4]=>[[1,3,5],[2,4,8],[6,7]]=>13 [4,7,3,1,2,6,8,5]=>[1,4,3,7,6,8,2,5]=>[5,2,8,6,7,3,4,1]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [3,6,4,5,8,1,7,2]=>[3,6,4,5,8,1,7,2]=>[2,7,1,8,5,4,6,3]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [3,7,6,1,5,8,2,4]=>[3,7,6,5,1,8,2,4]=>[4,2,8,1,5,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>15 [2,7,6,5,4,1,8,3]=>[7,6,5,4,2,8,1,3]=>[3,1,8,2,4,5,6,7]=>[[1,3,5,6,7,8],[2,4]]=>16 [3,8,5,6,4,2,7,1]=>[3,8,5,6,4,2,7,1]=>[1,7,2,4,6,5,8,3]=>[[1,2,4,5,7],[3],[6],[8]]=>18 [1,2,6,4,3,5,8,7]=>[6,1,4,8,2,3,5,7]=>[7,5,3,2,8,4,1,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [3,2,6,4,7,8,5,1]=>[6,3,7,8,2,4,5,1]=>[1,5,4,2,8,7,3,6]=>[[1,2,5,8],[3,6],[4,7]]=>12 [4,2,7,1,3,8,6,5]=>[4,2,7,8,1,6,3,5]=>[5,3,6,1,8,7,2,4]=>[[1,3,5],[2,6,8],[4,7]]=>11 [4,8,1,6,2,7,5,3]=>[8,4,1,6,7,2,5,3]=>[3,5,2,7,6,1,4,8]=>[[1,2,4,8],[3,5],[6,7]]=>15 [6,5,1,3,2,7,4,8]=>[3,1,2,6,5,7,4,8]=>[8,4,7,5,6,2,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [6,5,2,3,1,7,4,8]=>[2,3,1,6,5,7,4,8]=>[8,4,7,5,6,1,3,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [6,1,8,4,2,7,5,3]=>[1,6,8,2,7,4,5,3]=>[3,5,4,7,2,8,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [5,6,2,7,3,4,8,1]=>[2,5,6,3,7,4,8,1]=>[1,8,4,7,3,6,5,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [3,7,8,6,1,2,4,5]=>[1,7,3,2,8,6,4,5]=>[5,4,6,8,2,3,7,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [2,7,6,8,5,1,3,4]=>[7,6,2,1,8,5,3,4]=>[4,3,5,8,1,2,6,7]=>[[1,3,4,8],[2,6,7],[5]]=>17 [2,7,8,6,1,5,4,3]=>[2,7,8,6,5,4,1,3]=>[3,1,4,5,6,8,7,2]=>[[1,3,4,5,6],[2,7],[8]]=>18 [2,7,6,8,5,3,1,4]=>[7,6,2,8,5,3,1,4]=>[4,1,3,5,8,2,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>18 [5,7,4,6,3,1,2,8]=>[7,5,4,1,6,3,2,8]=>[8,2,3,6,1,4,5,7]=>[[1,3,4,7,8],[2,6],[5]]=>17 [4,7,6,8,1,2,3,5]=>[1,7,6,2,8,4,3,5]=>[5,3,4,8,2,6,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [2,8,4,1,5,7,3,6]=>[2,8,1,7,4,5,3,6]=>[6,3,5,4,7,1,8,2]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [1,5,8,6,4,2,3,7]=>[5,1,8,6,4,2,3,7]=>[7,3,2,4,6,8,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [2,8,5,7,4,3,6,1]=>[8,7,5,2,4,3,6,1]=>[1,6,3,4,2,5,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>18 [2,8,4,6,3,1,7,5]=>[6,4,2,3,8,7,1,5]=>[5,1,7,8,3,2,4,6]=>[[1,3,4,8],[2,5,7],[6]]=>14 [2,8,4,3,1,6,7,5]=>[4,2,3,6,8,7,1,5]=>[5,1,7,8,6,3,2,4]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [1,4,6,2,5,7,8,3]=>[4,6,1,5,7,8,2,3]=>[3,2,8,7,5,1,6,4]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [2,5,8,6,4,1,7,3]=>[5,8,6,4,2,7,1,3]=>[3,1,7,2,4,6,8,5]=>[[1,3,5,6,7],[2,4],[8]]=>15 [1,7,2,3,6,5,8,4]=>[7,6,1,2,5,8,3,4]=>[4,3,8,5,2,1,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [4,7,2,3,5,6,8,1]=>[2,4,3,7,5,6,8,1]=>[1,8,6,5,7,3,4,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [4,7,2,3,1,6,8,5]=>[2,4,3,7,6,8,1,5]=>[5,1,8,6,7,3,4,2]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [7,4,6,2,8,3,5,1]=>[4,7,2,6,3,8,5,1]=>[1,5,8,3,6,2,7,4]=>[[1,2,3,7],[4,5],[6,8]]=>19 [7,3,5,1,4,8,2,6]=>[3,5,1,4,7,2,8,6]=>[6,8,2,7,4,1,5,3]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [7,2,5,1,4,8,6,3]=>[2,7,1,5,8,4,6,3]=>[3,6,4,8,5,1,7,2]=>[[1,2,4,7],[3,5],[6,8]]=>14 [3,4,6,5,1,2,7,8]=>[6,3,4,1,5,2,7,8]=>[8,7,2,5,1,4,3,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [1,2,7,4,5,8,6,3]=>[4,5,7,8,6,1,2,3]=>[3,2,1,6,8,7,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [7,5,4,3,8,6,2,1]=>[5,4,3,7,8,6,2,1]=>[1,2,6,8,7,3,4,5]=>[[1,2,3,4,8],[5,7],[6]]=>21 [6,7,5,1,3,4,2,8]=>[6,1,3,7,5,4,2,8]=>[8,2,4,5,7,3,1,6]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [4,3,8,2,6,7,5,1]=>[4,3,8,6,7,2,5,1]=>[1,5,2,7,6,8,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>16 [4,3,8,2,5,7,1,6]=>[4,3,8,7,2,5,1,6]=>[6,1,5,2,7,8,3,4]=>[[1,3,5,6],[2,7,8],[4]]=>14 [4,2,6,1,5,3,8,7]=>[2,4,6,1,5,8,3,7]=>[7,3,8,5,1,6,4,2]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [1,5,2,3,8,6,4,7]=>[5,8,1,2,6,3,4,7]=>[7,4,3,6,2,1,8,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [6,7,2,3,5,1,4,8]=>[2,3,6,1,7,5,4,8]=>[8,4,5,7,1,6,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [2,1,7,8,6,3,5,4]=>[7,2,8,6,5,1,3,4]=>[4,3,1,5,6,8,2,7]=>[[1,4,5,6],[2,7,8],[3]]=>13 [7,8,2,4,1,6,3,5]=>[4,2,7,1,3,8,6,5]=>[5,6,8,3,1,7,2,4]=>[[1,2,3],[4,6,8],[5,7]]=>17 [6,7,1,5,4,8,2,3]=>[6,7,5,1,4,2,8,3]=>[3,8,2,4,1,5,7,6]=>[[1,2,6,7],[3,4],[5,8]]=>17 [1,8,7,5,2,3,6,4]=>[1,2,5,8,7,6,3,4]=>[4,3,6,7,8,5,2,1]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [8,1,7,5,2,3,4,6]=>[1,2,8,3,5,4,7,6]=>[6,7,4,5,3,8,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [8,6,3,1,4,2,5,7]=>[1,3,4,2,6,5,8,7]=>[7,8,5,6,2,4,3,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>15 [4,5,1,3,8,7,6,2]=>[8,1,4,5,7,3,6,2]=>[2,6,3,7,5,4,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [8,5,6,1,7,4,3,2]=>[1,5,8,6,7,4,3,2]=>[2,3,4,7,6,8,5,1]=>[[1,2,3,4,6],[5],[7],[8]]=>21 [9,2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,9,8,1]=>[1,8,9,7,6,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>15 [1,2,4,3,5,6,7,8,9]=>[4,1,2,3,5,6,7,8,9]=>[9,8,7,6,5,3,2,1,4]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>1 [1,2,4,6,8,9,7,5,3]=>[8,9,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,9,8]=>[[1,4,6,8],[2,5,7,9],[3]]=>12 [1,2,4,3,5,6,7,8,9,10]=>[4,1,2,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,2,1,4]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>1 [1,2,4,6,8,10,9,7,5,3]=>[10,8,9,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,9,8,10]=>[[1,4,6,8,10],[2,5,7,9],[3]]=>16 [1,2,4,6,8,5,7,3]=>[8,6,4,5,7,1,2,3]=>[3,2,1,7,5,4,6,8]=>[[1,4,7,8],[2,5],[3,6]]=>8 [2,1,7,5,8,6,3,4]=>[5,7,8,6,2,1,3,4]=>[4,3,1,2,6,8,7,5]=>[[1,4,5,6],[2,7],[3,8]]=>12 [4,7,3,8,6,5,2,1]=>[4,7,8,6,3,5,2,1]=>[1,2,5,3,6,8,7,4]=>[[1,2,3,5,6],[4,7],[8]]=>20 [3,8,7,4,6,5,1,2]=>[8,3,7,6,4,1,5,2]=>[2,5,1,4,6,7,3,8]=>[[1,2,5,6,8],[3,4],[7]]=>20 [7,4,3,6,5,8,1,2]=>[4,7,3,6,5,1,8,2]=>[2,8,1,5,6,3,7,4]=>[[1,2,5,7],[3,4,8],[6]]=>18 [4,5,8,7,2,6,1,3]=>[4,8,5,7,2,1,6,3]=>[3,6,1,2,7,5,8,4]=>[[1,2,5,7],[3,4,6],[8]]=>18 [4,2,7,6,5,8,3,1]=>[7,6,2,4,5,8,3,1]=>[1,3,8,5,4,2,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>16 [4,6,7,8,5,2,3,1]=>[6,7,8,4,2,5,3,1]=>[1,3,5,2,4,8,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>20 [4,5,3,8,2,7,6,1]=>[8,4,5,3,7,2,6,1]=>[1,6,2,7,3,5,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>16 [3,8,5,4,1,7,6,2]=>[3,1,8,5,7,4,6,2]=>[2,6,4,7,5,8,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>16 [6,4,7,2,5,8,3,1]=>[4,2,6,7,5,8,3,1]=>[1,3,8,5,7,6,2,4]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [6,3,8,7,5,1,4,2]=>[8,6,3,7,1,5,4,2]=>[2,4,5,1,7,3,6,8]=>[[1,2,3,5,8],[4,6,7]]=>20 [5,3,6,4,1,2,8,7]=>[3,5,1,6,4,8,2,7]=>[7,2,8,4,6,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [5,2,4,8,7,6,1,3]=>[8,5,7,2,4,1,6,3]=>[3,6,1,4,2,7,5,8]=>[[1,2,6,8],[3,4,7],[5]]=>16 [1,8,2,5,4,3,6,7]=>[5,4,1,2,3,8,6,7]=>[7,6,8,3,2,1,4,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [3,2,4,5,1,8,6,7]=>[3,8,2,4,5,1,6,7]=>[7,6,1,5,4,2,8,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [3,2,4,8,5,1,7,6]=>[3,2,8,4,5,7,1,6]=>[6,1,7,5,4,8,2,3]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [5,2,4,1,7,8,3,6]=>[5,2,4,7,1,8,3,6]=>[6,3,8,1,7,4,2,5]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [4,2,5,1,7,8,3,6]=>[2,4,5,7,1,8,3,6]=>[6,3,8,1,7,5,4,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>10 [2,5,4,1,3,8,6,7]=>[5,4,8,2,1,3,6,7]=>[7,6,3,1,2,8,4,5]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [2,5,1,4,8,3,6,7]=>[5,2,8,4,1,3,6,7]=>[7,6,3,1,4,8,2,5]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [5,1,8,2,4,3,6,7]=>[8,1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>10 [5,3,2,8,4,1,6,7]=>[5,3,2,8,4,1,6,7]=>[7,6,1,4,8,2,3,5]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [1,5,4,8,2,3,6,7]=>[1,8,5,4,2,3,6,7]=>[7,6,3,2,4,5,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>9 [4,8,3,1,6,7,2,5]=>[4,3,6,1,8,7,2,5]=>[5,2,7,8,1,6,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>15 [1,4,8,2,7,3,6,5]=>[4,8,1,7,6,2,3,5]=>[5,3,2,6,7,1,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [7,4,6,5,3,8,2,1]=>[7,4,6,5,3,8,2,1]=>[1,2,8,3,5,6,4,7]=>[[1,2,3,5,6,8],[4],[7]]=>21 [4,7,3,2,6,8,1,5]=>[4,3,7,6,8,2,1,5]=>[5,1,2,8,6,7,3,4]=>[[1,3,4,6],[2,5,8],[7]]=>15 [7,3,4,6,8,1,2,5]=>[7,3,4,1,6,2,8,5]=>[5,8,2,6,1,4,3,7]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [1,5,6,8,3,7,2,4]=>[5,8,1,6,7,3,2,4]=>[4,2,3,7,6,1,8,5]=>[[1,3,4,7],[2,5],[6,8]]=>13 [8,6,2,7,1,4,3,5]=>[2,6,4,1,3,8,7,5]=>[5,7,8,3,1,4,6,2]=>[[1,2,3],[4,6,7],[5,8]]=>18 [6,1,5,8,3,4,7,2]=>[6,1,8,5,3,4,7,2]=>[2,7,4,3,5,8,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [5,6,8,1,3,4,7,2]=>[5,1,6,3,8,4,7,2]=>[2,7,4,8,3,6,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [2,8,5,6,3,4,7,1]=>[8,2,5,3,6,4,7,1]=>[1,7,4,6,3,5,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [1,8,7,3,6,4,5,2]=>[3,8,4,7,6,5,1,2]=>[2,1,5,6,7,4,8,3]=>[[1,3,4,5,7],[2,6],[8]]=>17 [7,4,2,8,3,6,5,1]=>[4,2,7,8,3,6,5,1]=>[1,5,6,3,8,7,2,4]=>[[1,2,3,5],[4,6],[7,8]]=>18 [7,1,2,5,8,4,6,3]=>[7,8,1,5,2,4,6,3]=>[3,6,4,2,5,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [2,8,1,4,7,3,6,5]=>[8,7,2,1,4,6,3,5]=>[5,3,6,4,1,2,7,8]=>[[1,3,7,8],[2,4],[5,6]]=>12 [3,1,7,8,5,4,6,2]=>[1,7,8,5,3,4,6,2]=>[2,6,4,3,5,8,7,1]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [1,6,2,7,4,8,5,3]=>[6,1,7,8,4,5,2,3]=>[3,2,5,4,8,7,1,6]=>[[1,3,5],[2,4,6],[7,8]]=>11 [6,7,1,8,3,2,4,5]=>[6,3,1,2,7,4,8,5]=>[5,8,4,7,2,1,3,6]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [6,2,4,7,3,8,1,5]=>[4,6,2,3,7,1,8,5]=>[5,8,1,7,3,2,6,4]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [8,3,6,7,4,1,5,2]=>[8,3,1,6,4,7,5,2]=>[2,5,7,4,6,1,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>20 [1,5,8,3,6,7,2,4]=>[1,8,5,6,7,3,2,4]=>[4,2,3,7,6,5,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [2,7,6,3,5,8,1,4]=>[7,2,6,5,8,3,1,4]=>[4,1,3,8,5,6,2,7]=>[[1,3,4,6,8],[2,5],[7]]=>15 [2,7,5,6,8,1,3,4]=>[5,7,6,2,1,8,3,4]=>[4,3,8,1,2,6,7,5]=>[[1,3,6,7],[2,5],[4,8]]=>15 [7,6,2,8,1,5,3,4]=>[2,7,6,1,3,8,5,4]=>[4,5,8,3,1,6,7,2]=>[[1,2,3,7],[4,6],[5,8]]=>18 [1,5,7,6,8,2,3,4]=>[7,5,1,6,2,8,3,4]=>[4,3,8,2,6,1,5,7]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [3,5,6,1,4,2,8,7]=>[5,3,6,1,4,8,2,7]=>[7,2,8,4,1,6,3,5]=>[[1,3,6],[2,4,8],[5,7]]=>10 [7,4,6,8,5,3,1,2]=>[7,4,6,1,8,5,3,2]=>[2,3,5,8,1,6,4,7]=>[[1,2,3,4,8],[5,6],[7]]=>22 [4,2,7,8,1,5,6,3]=>[2,7,8,4,1,5,6,3]=>[3,6,5,1,4,8,7,2]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [2,1,5,7,8,3,6,4]=>[7,8,5,2,6,1,3,4]=>[4,3,1,6,2,5,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>10 [2,4,7,8,1,5,6,3]=>[7,4,2,8,5,6,1,3]=>[3,1,6,5,8,2,4,7]=>[[1,3,5,8],[2,4,7],[6]]=>13 [4,7,5,8,6,3,1,2]=>[4,7,8,5,1,6,3,2]=>[2,3,6,1,5,8,7,4]=>[[1,2,3,6],[4,5,7],[8]]=>20 [4,7,1,8,3,5,6,2]=>[7,1,8,4,3,5,6,2]=>[2,6,5,3,4,8,1,7]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [1,6,8,3,2,5,4,7]=>[1,8,3,6,5,2,4,7]=>[7,4,2,5,6,3,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [7,8,2,1,3,6,4,5]=>[2,7,1,3,4,8,6,5]=>[5,6,8,4,3,1,7,2]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [6,1,7,5,4,3,2,8]=>[6,7,5,4,1,3,2,8]=>[8,2,3,1,4,5,7,6]=>[[1,3,5,6,7],[2,8],[4]]=>15 [5,1,6,8,2,3,7,4]=>[5,1,6,8,2,3,7,4]=>[4,7,3,2,8,6,1,5]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [2,6,8,1,5,4,7,3]=>[8,2,6,5,4,7,1,3]=>[3,1,7,4,5,6,2,8]=>[[1,3,5,6,8],[2,4],[7]]=>14 [2,3,7,6,5,1,8,4]=>[7,6,5,2,3,8,1,4]=>[4,1,8,3,2,5,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>12 [7,5,2,1,6,4,3,8]=>[7,2,1,5,6,4,3,8]=>[8,3,4,6,5,1,2,7]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [5,7,2,4,3,1,8,6]=>[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[[1,3,5,6,8],[2,4],[7]]=>14 [6,7,1,3,4,2,8,5]=>[1,6,3,4,2,7,8,5]=>[5,8,7,2,4,3,6,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [6,1,5,8,3,2,7,4]=>[6,5,3,8,1,2,7,4]=>[4,7,2,1,8,3,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>14 [2,5,8,4,6,3,1,7]=>[5,4,8,6,2,3,1,7]=>[7,1,3,2,6,8,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>14 [2,7,6,4,8,1,5,3]=>[4,7,6,2,8,5,1,3]=>[3,1,5,8,2,6,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>16 [7,2,5,4,8,1,6,3]=>[7,2,5,4,8,1,6,3]=>[3,6,1,8,4,5,2,7]=>[[1,2,4,8],[3,5,6],[7]]=>16 [1,7,2,5,3,8,6,4]=>[1,2,7,8,5,6,3,4]=>[4,3,6,5,8,7,2,1]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [7,2,1,4,3,8,5,6]=>[2,4,7,1,3,5,8,6]=>[6,8,5,3,1,7,4,2]=>[[1,2],[3,6],[4,7],[5,8]]=>10 [7,1,6,5,3,2,8,4]=>[7,1,6,3,2,5,8,4]=>[4,8,5,2,3,6,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [7,2,3,8,6,1,5,4]=>[7,2,8,3,6,1,5,4]=>[4,5,1,6,3,8,2,7]=>[[1,2,4,6],[3,5,8],[7]]=>16 [7,2,3,8,6,1,4,5]=>[7,2,8,3,1,4,6,5]=>[5,6,4,1,3,8,2,7]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [6,2,4,8,1,3,7,5]=>[4,6,2,8,1,3,7,5]=>[5,7,3,1,8,2,6,4]=>[[1,2,5],[3,6,7],[4,8]]=>13 [6,3,4,8,1,5,2,7]=>[6,3,1,4,8,5,2,7]=>[7,2,5,8,4,1,3,6]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [5,3,8,4,1,2,6,7]=>[3,1,8,5,4,2,6,7]=>[7,6,2,4,5,8,1,3]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [2,4,8,3,7,1,5,6]=>[8,7,2,4,3,1,5,6]=>[6,5,1,3,4,2,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>12 [7,6,5,2,1,8,3,4]=>[2,7,1,6,5,3,8,4]=>[4,8,3,5,6,1,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>18 [7,6,5,2,1,8,4,3]=>[2,7,1,6,5,8,4,3]=>[3,4,8,5,6,1,7,2]=>[[1,2,3,5,7],[4,8],[6]]=>19 [3,8,7,2,4,6,1,5]=>[3,8,2,7,6,4,1,5]=>[5,1,4,6,7,2,8,3]=>[[1,3,4,5,7],[2,8],[6]]=>17 [4,2,7,6,3,5,8,1]=>[7,4,2,6,3,5,8,1]=>[1,8,5,3,6,2,4,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [8,1,7,4,2,3,5,6]=>[1,4,2,3,8,5,7,6]=>[6,7,5,8,3,2,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [4,7,8,3,2,5,1,6]=>[7,4,3,2,8,5,1,6]=>[6,1,5,8,2,3,4,7]=>[[1,3,4,7,8],[2,6],[5]]=>17 [5,1,6,8,3,7,4,2]=>[5,6,8,1,7,3,4,2]=>[2,4,3,7,1,8,6,5]=>[[1,2,4,6],[3,7],[5,8]]=>15 [8,6,5,1,7,4,3,2]=>[8,1,6,5,7,4,3,2]=>[2,3,4,7,5,6,1,8]=>[[1,2,3,4,6,8],[5],[7]]=>22 [8,2,3,7,1,4,5,6]=>[2,3,1,8,4,5,7,6]=>[6,7,5,4,8,1,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [2,8,3,7,1,4,5,6]=>[2,3,1,8,4,7,5,6]=>[6,5,7,4,8,1,3,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [8,6,2,7,4,1,3,5]=>[6,4,2,1,3,8,7,5]=>[5,7,8,3,1,2,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>19 [3,4,7,5,2,6,1,8]=>[3,7,4,5,2,6,1,8]=>[8,1,6,2,5,4,7,3]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [3,7,8,2,6,1,4,5]=>[3,7,2,1,8,6,4,5]=>[5,4,6,8,1,2,7,3]=>[[1,3,4],[2,6,7],[5,8]]=>16 [3,7,8,2,6,1,5,4]=>[3,7,2,8,6,5,1,4]=>[4,1,5,6,8,2,7,3]=>[[1,3,4,5],[2,6,7],[8]]=>17 [4,8,6,2,1,7,5,3]=>[4,2,6,8,7,1,5,3]=>[3,5,1,7,8,6,2,4]=>[[1,2,4,5],[3,6,8],[7]]=>17 [4,7,6,2,1,5,8,3]=>[4,2,7,6,1,5,8,3]=>[3,8,5,1,6,7,2,4]=>[[1,2,5,6],[3,7,8],[4]]=>15 [4,7,6,2,1,5,3,8]=>[4,2,7,6,1,5,3,8]=>[8,3,5,1,6,7,2,4]=>[[1,3,5,6],[2,7,8],[4]]=>14 [7,5,4,6,1,8,2,3]=>[1,5,4,7,6,2,8,3]=>[3,8,2,6,7,4,5,1]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [3,4,5,1,7,8,6,2]=>[3,4,7,8,1,5,6,2]=>[2,6,5,1,8,7,4,3]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [3,4,5,1,7,6,8,2]=>[3,4,7,1,5,6,8,2]=>[2,8,6,5,1,7,4,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [3,8,7,6,5,1,2,4]=>[1,8,7,6,5,3,2,4]=>[4,2,3,5,6,7,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>20 [8,4,6,7,1,2,5,3]=>[1,4,2,8,6,7,5,3]=>[3,5,7,6,8,2,4,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [7,4,6,8,1,3,2,5]=>[4,7,1,6,3,2,8,5]=>[5,8,2,3,6,1,7,4]=>[[1,2,5,7],[3,4],[6,8]]=>18 [3,8,7,5,6,1,4,2]=>[5,3,8,7,6,1,4,2]=>[2,4,1,6,7,8,3,5]=>[[1,2,4,5,6],[3,7,8]]=>20 [3,2,5,6,1,7,4,8]=>[3,5,6,2,7,1,4,8]=>[8,4,1,7,2,6,5,3]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [8,4,6,5,1,7,3,2]=>[4,6,1,5,8,7,3,2]=>[2,3,7,8,5,1,6,4]=>[[1,2,3,4],[5,7],[6,8]]=>20 [3,4,5,1,7,6,2,8]=>[3,4,7,1,5,6,2,8]=>[8,2,6,5,1,7,4,3]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [8,5,4,6,1,3,2,7]=>[1,5,4,6,3,2,8,7]=>[7,8,2,3,6,4,5,1]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [8,5,4,6,1,3,7,2]=>[1,5,4,6,3,8,7,2]=>[2,7,8,3,6,4,5,1]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [1,7,3,4,5,2,8,6]=>[1,3,7,4,5,8,2,6]=>[6,2,8,5,4,7,3,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [4,8,2,1,3,5,6,7]=>[2,1,4,3,5,8,6,7]=>[7,6,8,5,3,4,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>10 [1,7,2,5,4,3,8,6]=>[7,5,1,2,4,8,3,6]=>[6,3,8,4,2,1,5,7]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [2,6,7,3,4,8,1,5]=>[2,6,3,7,8,4,1,5]=>[5,1,4,8,7,3,6,2]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [6,4,1,3,8,7,5,2]=>[4,8,1,3,6,7,5,2]=>[2,5,7,6,3,1,8,4]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [2,1,7,4,6,8,3,5]=>[7,2,6,8,4,1,3,5]=>[5,3,1,4,8,6,2,7]=>[[1,4,5,8],[2,6],[3,7]]=>10 [1,7,2,4,6,8,3,5]=>[7,6,8,1,2,4,3,5]=>[5,3,4,2,1,8,6,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [8,6,4,2,7,3,5,1]=>[2,4,6,3,8,7,5,1]=>[1,5,7,8,3,6,4,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [7,4,6,1,2,3,8,5]=>[1,2,7,4,3,6,8,5]=>[5,8,6,3,4,7,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [1,8,6,2,7,3,5,4]=>[1,2,8,6,7,5,3,4]=>[4,3,5,7,6,8,2,1]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [3,5,8,1,7,6,2,4]=>[5,8,7,3,1,6,2,4]=>[4,2,6,1,3,7,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>15 [2,8,1,3,6,7,5,4]=>[2,8,6,7,1,5,3,4]=>[4,3,5,1,7,6,8,2]=>[[1,3,5,7],[2,6],[4,8]]=>12 [4,1,2,5,6,7,8,9,10,3]=>[1,2,4,5,6,7,8,9,10,3]=>[3,10,9,8,7,6,5,4,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>9 [1,7,5,8,3,6,2,4]=>[1,5,7,8,6,3,2,4]=>[4,2,3,6,8,7,5,1]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [6,4,3,2,8,1,7,5]=>[4,3,2,6,8,1,7,5]=>[5,7,1,8,6,2,3,4]=>[[1,2,4,8],[3,5,7],[6]]=>15 [6,2,4,3,8,1,7,5]=>[4,2,3,6,8,1,7,5]=>[5,7,1,8,6,3,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [5,7,4,3,1,6,2,8]=>[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[[1,3,5,6,7],[2],[4],[8]]=>15 [8,3,5,4,2,6,1,7]=>[5,3,4,2,6,1,8,7]=>[7,8,1,6,2,4,3,5]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [6,3,7,2,5,4,8,1]=>[6,3,7,2,5,4,8,1]=>[1,8,4,5,2,7,3,6]=>[[1,2,4,6],[3,7,8],[5]]=>16 [5,7,2,6,3,4,8,1]=>[5,2,7,3,6,4,8,1]=>[1,8,4,6,3,7,2,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [2,7,5,4,6,8,3,1]=>[5,4,7,6,8,2,3,1]=>[1,3,2,8,6,7,4,5]=>[[1,2,4,6],[3,5,8],[7]]=>16 [8,2,5,4,6,3,1,7]=>[5,4,6,2,3,1,8,7]=>[7,8,1,3,2,6,4,5]=>[[1,2,6,8],[3,4],[5,7]]=>16 [3,7,5,4,2,8,6,1]=>[7,3,5,4,8,2,6,1]=>[1,6,2,8,4,5,3,7]=>[[1,2,4,6,8],[3,5],[7]]=>16 [3,7,2,6,5,8,4,1]=>[7,3,6,5,8,2,4,1]=>[1,4,2,8,5,6,3,7]=>[[1,2,4,6,8],[3,5],[7]]=>16 [5,4,2,7,6,8,3,1]=>[2,5,7,4,6,8,3,1]=>[1,3,8,6,4,7,5,2]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [6,8,3,2,1,7,4,5]=>[3,2,6,1,8,4,7,5]=>[5,7,4,8,1,6,2,3]=>[[1,2,4],[3,6,8],[5,7]]=>16 [4,8,5,1,7,3,2,6]=>[4,1,5,8,7,3,2,6]=>[6,2,3,7,8,5,1,4]=>[[1,3,4,5],[2,6],[7,8]]=>16 [4,8,1,7,5,3,2,6]=>[8,1,4,7,5,3,2,6]=>[6,2,3,5,7,4,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>16 [5,4,8,2,6,3,1,7]=>[2,8,5,4,6,3,1,7]=>[7,1,3,6,4,5,8,2]=>[[1,3,4,6,7],[2],[5],[8]]=>16 [7,5,2,8,1,3,6,4]=>[5,2,1,3,7,8,6,4]=>[4,6,8,7,3,1,2,5]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [5,4,3,7,2,8,6,1]=>[5,4,7,3,8,2,6,1]=>[1,6,2,8,3,7,4,5]=>[[1,2,4,6,8],[3,5],[7]]=>16 [4,3,7,6,2,8,5,1]=>[7,4,6,3,8,2,5,1]=>[1,5,2,8,3,6,4,7]=>[[1,2,4,6,8],[3,5],[7]]=>16 [6,3,2,5,8,7,4,1]=>[3,6,8,2,5,7,4,1]=>[1,4,7,5,2,8,6,3]=>[[1,2,3,6],[4,7],[5,8]]=>16 [7,3,5,2,8,1,6,4]=>[3,2,7,5,8,1,6,4]=>[4,6,1,8,5,7,2,3]=>[[1,2,4],[3,5,6],[7,8]]=>16 [8,3,5,2,6,4,1,7]=>[5,3,6,2,4,1,8,7]=>[7,8,1,4,2,6,3,5]=>[[1,2,6,8],[3,4],[5,7]]=>16 [8,4,3,2,6,5,1,7]=>[4,3,6,2,5,1,8,7]=>[7,8,1,5,2,6,3,4]=>[[1,2,6,8],[3,4],[5,7]]=>16 [3,6,5,2,8,7,4,1]=>[6,5,8,3,7,2,4,1]=>[1,4,2,7,3,8,5,6]=>[[1,2,4,6,8],[3,5,7]]=>16 [3,6,5,7,2,8,4,1]=>[6,5,7,3,8,2,4,1]=>[1,4,2,8,3,7,5,6]=>[[1,2,4,6,8],[3,5],[7]]=>16 [4,6,5,3,8,2,1,7]=>[6,4,5,8,3,2,1,7]=>[7,1,2,3,8,5,4,6]=>[[1,3,4,5,8],[2,6],[7]]=>16 [2,6,5,8,7,3,1,4]=>[6,8,5,2,7,3,1,4]=>[4,1,3,7,2,5,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>16 [2,6,5,8,4,3,7,1]=>[6,8,5,4,2,3,7,1]=>[1,7,3,2,4,5,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>16 [8,2,6,5,3,1,4,7]=>[2,6,5,3,1,4,8,7]=>[7,8,4,1,3,5,6,2]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [6,3,8,4,1,7,2,5]=>[6,3,4,1,8,2,7,5]=>[5,7,2,8,1,4,3,6]=>[[1,2,4],[3,6,8],[5,7]]=>16 [7,2,8,1,6,4,3,5]=>[7,2,8,1,4,3,6,5]=>[5,6,3,4,1,8,2,7]=>[[1,2,6],[3,4,8],[5,7]]=>16 [3,2,8,7,6,4,1,5]=>[8,7,6,3,2,4,1,5]=>[5,1,4,2,3,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>16 [5,4,2,8,6,3,7,1]=>[5,4,8,2,6,3,7,1]=>[1,7,3,6,2,8,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>16 [2,8,7,5,3,1,4,6]=>[2,8,3,1,7,5,4,6]=>[6,4,5,7,1,3,8,2]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [6,3,4,5,1,2,8,7]=>[3,4,1,6,5,8,2,7]=>[7,2,8,5,6,1,4,3]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [6,5,8,7,3,2,4,1]=>[6,8,5,3,2,7,4,1]=>[1,4,7,2,3,5,8,6]=>[[1,2,3,6,7],[4,5,8]]=>22 [6,3,2,4,1,7,8,5]=>[3,2,4,1,6,7,8,5]=>[5,8,7,6,1,4,2,3]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [2,1,4,7,8,5,3,6]=>[7,2,8,4,5,1,3,6]=>[6,3,1,5,4,8,2,7]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [8,3,1,6,5,7,4,2]=>[8,1,6,3,5,7,4,2]=>[2,4,7,5,3,6,1,8]=>[[1,2,3,6,8],[4],[5],[7]]=>17 [4,8,7,5,3,2,6,1]=>[4,8,7,5,3,2,6,1]=>[1,6,2,3,5,7,8,4]=>[[1,2,4,5,6,7],[3],[8]]=>21 [8,3,4,6,5,7,1,2]=>[6,3,4,5,1,8,7,2]=>[2,7,8,1,5,4,3,6]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [6,1,4,3,7,8,2,5]=>[4,3,6,7,1,2,8,5]=>[5,8,2,1,7,6,3,4]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [6,3,4,7,8,1,2,5]=>[3,4,6,1,7,2,8,5]=>[5,8,2,7,1,6,4,3]=>[[1,2],[3,4],[5,6],[7],[8]]=>15 [7,3,6,5,8,1,2,4]=>[7,6,3,1,5,2,8,4]=>[4,8,2,5,1,3,6,7]=>[[1,2,7,8],[3,4],[5,6]]=>18 [6,5,3,2,4,8,7,1]=>[3,2,6,5,8,4,7,1]=>[1,7,4,8,5,6,2,3]=>[[1,2,4,6],[3,5],[7,8]]=>16 [2,5,7,1,6,8,3,4]=>[5,7,2,6,1,8,3,4]=>[4,3,8,1,6,2,7,5]=>[[1,3,7],[2,5,8],[4,6]]=>12 [6,1,2,7,5,8,3,4]=>[6,7,5,1,2,3,8,4]=>[4,8,3,2,1,5,7,6]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [7,1,2,4,6,8,3,5]=>[7,4,6,1,2,3,8,5]=>[5,8,3,2,1,6,4,7]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [3,7,1,2,4,6,8,5]=>[1,3,7,2,6,8,4,5]=>[5,4,8,6,2,7,3,1]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [2,4,1,7,3,6,8,5]=>[7,4,2,6,8,1,3,5]=>[5,3,1,8,6,2,4,7]=>[[1,4,7,8],[2,5],[3,6]]=>8 [2,8,3,1,6,5,7,4]=>[6,2,3,5,8,7,1,4]=>[4,1,7,8,5,3,2,6]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [2,7,8,5,3,1,6,4]=>[2,7,5,3,8,6,1,4]=>[4,1,6,8,3,5,7,2]=>[[1,3,4,7],[2,5,6],[8]]=>16 [8,2,4,6,1,5,7,3]=>[2,4,8,1,6,5,7,3]=>[3,7,5,6,1,8,4,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [3,8,5,6,7,1,2,4]=>[5,6,1,8,7,3,2,4]=>[4,2,3,7,8,1,6,5]=>[[1,3,4,5],[2,7],[6,8]]=>17 [6,1,2,4,8,5,7,3]=>[6,1,8,2,4,5,7,3]=>[3,7,5,4,2,8,1,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [2,4,5,8,7,3,6,1]=>[8,7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>14 [7,1,8,5,2,4,6,3]=>[1,2,7,8,5,4,6,3]=>[3,6,4,5,8,7,2,1]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [8,1,7,5,3,4,6,2]=>[1,8,3,7,5,4,6,2]=>[2,6,4,5,7,3,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>18 [8,7,3,4,2,6,5,1]=>[3,4,8,2,7,6,5,1]=>[1,5,6,7,2,8,4,3]=>[[1,2,3,4,6],[5,7],[8]]=>21 [8,4,5,2,3,7,1,6]=>[4,2,5,8,3,1,7,6]=>[6,7,1,3,8,5,2,4]=>[[1,2,5],[3,4,6],[7,8]]=>17 [4,7,5,2,3,8,1,6]=>[4,2,7,5,8,3,1,6]=>[6,1,3,8,5,7,2,4]=>[[1,3,4,6],[2,5],[7,8]]=>15 [6,4,7,5,2,8,3,1]=>[4,6,2,7,5,8,3,1]=>[1,3,8,5,7,2,6,4]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [7,2,6,3,1,5,8,4]=>[2,3,7,6,1,5,8,4]=>[4,8,5,1,6,7,3,2]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [4,6,3,8,7,5,1,2]=>[6,8,4,7,3,1,5,2]=>[2,5,1,3,7,4,8,6]=>[[1,2,5,7],[3,4,6,8]]=>18 [2,8,4,1,5,7,6,3]=>[4,8,2,5,7,6,1,3]=>[3,1,6,7,5,2,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>13 [1,8,4,2,5,7,6,3]=>[8,1,4,5,7,6,2,3]=>[3,2,6,7,5,4,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [2,8,5,4,1,7,6,3]=>[5,4,8,2,7,6,1,3]=>[3,1,6,7,2,8,4,5]=>[[1,3,4,6],[2,5,7,8]]=>15 [2,5,8,3,7,1,6,4]=>[5,2,8,7,3,6,1,4]=>[4,1,6,3,7,8,2,5]=>[[1,3,5,6],[2,4,8],[7]]=>14 [1,8,5,2,4,7,6,3]=>[5,8,1,4,7,6,2,3]=>[3,2,6,7,4,1,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>13 [1,4,6,2,8,7,5,3]=>[8,4,6,7,1,5,2,3]=>[3,2,5,1,7,6,4,8]=>[[1,3,5,8],[2,6],[4,7]]=>11 [7,8,2,4,1,6,5,3]=>[2,1,7,8,4,6,5,3]=>[3,5,6,4,8,7,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>18 [2,4,6,1,8,7,5,3]=>[6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6]=>[[1,3,5,7],[2,4,6,8]]=>12 [2,8,4,5,1,7,6,3]=>[4,5,8,2,7,6,1,3]=>[3,1,6,7,2,8,5,4]=>[[1,3,4,6],[2,5,7],[8]]=>14 [3,5,8,2,7,6,1,4]=>[5,8,7,3,6,2,1,4]=>[4,1,2,6,3,7,8,5]=>[[1,3,4,6,7],[2,5,8]]=>16 [2,1,6,8,7,5,3,4]=>[8,6,7,5,2,1,3,4]=>[4,3,1,2,5,7,6,8]=>[[1,4,5,6,8],[2,7],[3]]=>13 [1,8,2,4,5,7,6,3]=>[8,1,4,7,5,6,2,3]=>[3,2,6,5,7,4,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [1,2,8,3,5,7,6,4]=>[8,1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [1,3,8,2,5,7,6,4]=>[8,3,5,7,6,1,2,4]=>[4,2,1,6,7,5,3,8]=>[[1,4,5,8],[2,6],[3,7]]=>10 [2,3,8,1,5,7,6,4]=>[8,2,3,7,5,6,1,4]=>[4,1,6,5,7,3,2,8]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [2,6,1,8,7,5,3,4]=>[8,6,7,2,1,5,3,4]=>[4,3,5,1,2,7,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>14 [1,6,2,8,7,5,3,4]=>[8,6,1,7,2,5,3,4]=>[4,3,5,2,7,1,6,8]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [1,6,3,8,7,5,2,4]=>[8,6,7,5,1,3,2,4]=>[4,2,3,1,5,7,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>14 [3,2,8,1,5,7,6,4]=>[3,8,2,7,5,6,1,4]=>[4,1,6,5,7,2,8,3]=>[[1,3,5,7],[2,4,8],[6]]=>12 [7,8,2,1,4,6,5,3]=>[7,2,8,1,4,6,5,3]=>[3,5,6,4,1,8,2,7]=>[[1,2,3,6],[4,7,8],[5]]=>17 [2,3,6,8,7,5,1,4]=>[8,6,7,5,2,3,1,4]=>[4,1,3,2,5,7,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>14 [3,8,4,5,1,6,2,7]=>[3,4,1,5,8,6,2,7]=>[7,2,6,8,5,1,4,3]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [6,1,4,5,7,2,3,8]=>[4,6,5,1,2,7,3,8]=>[8,3,7,2,1,5,6,4]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [8,1,4,7,6,3,2,5]=>[8,7,4,3,1,2,6,5]=>[5,6,2,1,3,4,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>17 [8,3,1,6,4,7,2,5]=>[8,3,1,4,6,2,7,5]=>[5,7,2,6,4,1,3,8]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [8,3,6,1,5,7,2,4]=>[8,1,3,6,5,2,7,4]=>[4,7,2,5,6,3,1,8]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [1,8,5,3,7,2,4,6]=>[8,5,1,3,2,7,4,6]=>[6,4,7,2,3,1,5,8]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [2,1,6,5,3,8,4,7]=>[6,5,8,2,1,3,4,7]=>[7,4,3,1,2,8,5,6]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [1,4,6,8,5,2,3,7]=>[8,6,4,1,5,2,3,7]=>[7,3,2,5,1,4,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [5,6,8,1,4,2,3,7]=>[5,1,8,2,6,4,3,7]=>[7,3,4,6,2,8,1,5]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [5,7,4,8,1,2,3,6]=>[1,7,5,2,8,4,3,6]=>[6,3,4,8,2,5,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [1,5,4,7,2,3,8,6]=>[5,1,7,4,8,2,3,6]=>[6,3,2,8,4,7,1,5]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [5,3,7,1,2,4,8,6]=>[1,5,3,2,7,8,4,6]=>[6,4,8,7,2,3,5,1]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [4,7,8,1,2,6,3,5]=>[7,1,4,2,8,6,3,5]=>[5,3,6,8,2,4,1,7]=>[[1,3,4],[2,6,8],[5],[7]]=>15 [1,6,5,8,7,2,3,4]=>[6,1,8,5,2,7,3,4]=>[4,3,7,2,5,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [3,7,1,6,2,4,8,5]=>[1,7,3,2,6,8,4,5]=>[5,4,8,6,2,3,7,1]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [6,1,7,2,5,8,3,4]=>[6,7,1,5,2,3,8,4]=>[4,8,3,2,5,1,7,6]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [1,7,6,5,8,2,3,4]=>[1,7,6,5,2,8,3,4]=>[4,3,8,2,5,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [1,6,8,5,7,2,3,4]=>[1,8,6,5,2,7,3,4]=>[4,3,7,2,5,6,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [7,5,1,2,6,8,3,4]=>[1,7,2,5,6,3,8,4]=>[4,8,3,6,5,2,7,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>14 [8,3,1,4,2,5,7,6]=>[1,3,4,8,2,5,7,6]=>[6,7,5,2,8,4,3,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [3,1,2,7,8,4,6,5]=>[7,3,8,1,6,2,4,5]=>[5,4,2,6,1,8,3,7]=>[[1,4,6],[2,7,8],[3],[5]]=>9 [3,8,1,2,7,6,4,5]=>[8,3,1,7,2,6,4,5]=>[5,4,6,2,7,1,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [7,1,4,8,2,6,3,5]=>[7,4,1,8,2,3,6,5]=>[5,6,3,2,8,1,4,7]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [5,1,2,6,8,7,3,4]=>[8,5,6,1,2,3,7,4]=>[4,7,3,2,1,6,5,8]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [1,8,6,2,5,7,3,4]=>[6,5,1,2,8,7,3,4]=>[4,3,7,8,2,1,5,6]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [5,7,8,1,2,6,3,4]=>[7,1,5,2,8,3,6,4]=>[4,6,3,8,2,5,1,7]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [3,7,1,2,8,4,6,5]=>[3,1,7,8,2,6,4,5]=>[5,4,6,2,8,7,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [7,2,1,8,3,4,6,5]=>[2,1,7,8,3,4,6,5]=>[5,6,4,3,8,7,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [1,5,8,7,6,2,3,4]=>[1,8,7,5,2,6,3,4]=>[4,3,6,2,5,7,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [7,8,1,3,4,5,2,6]=>[1,3,7,4,5,2,8,6]=>[6,8,2,5,4,7,3,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [1,7,4,8,2,5,3,6]=>[1,7,2,8,4,5,3,6]=>[6,3,5,4,8,2,7,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [3,8,6,1,4,2,7,5]=>[1,3,6,4,8,7,2,5]=>[5,2,7,8,4,6,3,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [7,1,8,2,4,6,3,5]=>[7,8,1,2,4,3,6,5]=>[5,6,3,4,2,1,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [7,3,2,8,1,5,4,6]=>[7,3,2,5,1,4,8,6]=>[6,8,4,1,5,2,3,7]=>[[1,2,7,8],[3,5],[4,6]]=>14 [6,4,7,3,2,5,1,8]=>[4,6,3,2,7,5,1,8]=>[8,1,5,7,2,3,6,4]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [7,6,5,3,8,4,1,2]=>[3,7,6,5,1,8,4,2]=>[2,4,8,1,5,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>22 [3,1,2,7,6,8,5,4]=>[7,6,8,1,3,5,2,4]=>[4,2,5,3,1,8,6,7]=>[[1,3,6,8],[2,4,7],[5]]=>10 [1,6,4,8,3,5,2,7]=>[6,4,3,8,5,1,2,7]=>[7,2,1,5,8,3,4,6]=>[[1,4,5,8],[2,6,7],[3]]=>12 [1,5,4,8,6,3,7,2]=>[8,5,4,6,3,7,1,2]=>[2,1,7,3,6,4,5,8]=>[[1,3,5,7,8],[2,4],[6]]=>13 [4,8,2,5,3,7,1,6]=>[2,4,5,8,7,3,1,6]=>[6,1,3,7,8,5,4,2]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [3,8,4,5,2,6,7,1]=>[3,4,5,2,8,6,7,1]=>[1,7,6,8,2,5,4,3]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [4,1,8,6,5,3,7,2]=>[8,4,6,5,1,3,7,2]=>[2,7,3,1,5,6,4,8]=>[[1,2,5,6,8],[3,7],[4]]=>15 [5,7,8,4,6,3,2,1]=>[7,8,5,4,6,3,2,1]=>[1,2,3,6,4,5,8,7]=>[[1,2,3,4,6,7],[5,8]]=>23 [5,3,2,8,6,4,7,1]=>[3,5,8,2,6,4,7,1]=>[1,7,4,6,2,8,5,3]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [6,8,1,2,7,4,3,5]=>[1,6,8,2,4,3,7,5]=>[5,7,3,4,2,8,6,1]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [5,8,7,3,6,2,4,1]=>[5,8,7,3,2,6,4,1]=>[1,4,6,2,3,7,8,5]=>[[1,2,3,6,7],[4,5,8]]=>22 [7,5,2,3,4,8,6,1]=>[2,3,5,4,7,8,6,1]=>[1,6,8,7,4,5,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [5,6,1,3,2,4,7,8]=>[5,1,3,2,6,4,7,8]=>[8,7,4,6,2,3,1,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [2,5,1,3,7,8,6,4]=>[2,7,8,1,5,6,3,4]=>[4,3,6,5,1,8,7,2]=>[[1,3,6],[2,4,7],[5,8]]=>9 [4,3,7,2,1,8,6,5]=>[7,4,3,8,2,6,1,5]=>[5,1,6,2,8,3,4,7]=>[[1,3,5,7,8],[2,4,6]]=>13 [3,6,4,2,5,1,7,8]=>[3,6,4,2,5,1,7,8]=>[8,7,1,5,2,4,6,3]=>[[1,4,6,7],[2],[3],[5],[8]]=>10 [3,1,6,4,7,5,2,8]=>[1,6,7,3,4,5,2,8]=>[8,2,5,4,3,7,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [2,4,7,5,3,6,1,8]=>[4,7,5,2,3,6,1,8]=>[8,1,6,3,2,5,7,4]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [2,5,7,3,4,1,6,8]=>[2,7,5,3,4,1,6,8]=>[8,6,1,4,3,5,7,2]=>[[1,4,6,7],[2],[3],[5],[8]]=>10 [2,3,5,8,6,4,7,1]=>[5,8,6,2,3,4,7,1]=>[1,7,4,3,2,6,8,5]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [2,4,7,3,8,6,5,1]=>[4,7,8,6,2,3,5,1]=>[1,5,3,2,6,8,7,4]=>[[1,2,5,6],[3,7],[4,8]]=>14 [3,1,5,4,7,8,6,2]=>[5,7,8,1,3,4,6,2]=>[2,6,4,3,1,8,7,5]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [2,5,8,7,4,1,3,6]=>[8,7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>15 [8,7,4,3,1,5,6,2]=>[1,4,3,5,8,7,6,2]=>[2,6,7,8,5,3,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [4,7,3,6,1,2,8,5]=>[4,1,7,6,3,8,2,5]=>[5,2,8,3,6,7,1,4]=>[[1,3,5,6],[2,4],[7,8]]=>14 [5,2,1,7,4,3,8,6]=>[5,2,7,1,4,8,3,6]=>[6,3,8,4,1,7,2,5]=>[[1,3,6],[2,4,8],[5,7]]=>10 [4,7,6,2,3,1,8,5]=>[2,7,6,4,3,8,1,5]=>[5,1,8,3,4,6,7,2]=>[[1,3,5,6,7],[2,4],[8]]=>15 [7,6,8,2,5,3,4,1]=>[7,2,6,3,8,5,4,1]=>[1,4,5,8,3,6,2,7]=>[[1,2,3,4,8],[5,6],[7]]=>22 [6,4,1,7,5,2,8,3]=>[4,6,1,2,7,5,8,3]=>[3,8,5,7,2,1,6,4]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [5,7,8,2,3,6,1,4]=>[2,7,5,8,3,1,6,4]=>[4,6,1,3,8,5,7,2]=>[[1,2,5,7],[3,4,6],[8]]=>18 [3,8,6,7,5,2,1,4]=>[6,8,7,5,3,2,1,4]=>[4,1,2,3,5,7,8,6]=>[[1,3,4,5,6,7],[2,8]]=>20 [2,6,4,5,7,3,8,1]=>[4,6,5,7,2,3,8,1]=>[1,8,3,2,7,5,6,4]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [6,1,8,5,3,4,7,2]=>[1,8,6,5,3,4,7,2]=>[2,7,4,3,5,6,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>16 [6,4,1,8,7,2,5,3]=>[4,6,8,1,2,7,5,3]=>[3,5,7,2,1,8,6,4]=>[[1,2,3,6],[4,7],[5,8]]=>16 [4,5,7,2,6,8,1,3]=>[4,5,7,2,6,1,8,3]=>[3,8,1,6,2,7,5,4]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [8,1,2,3,4,5,6,7,10,9]=>[1,2,3,4,5,6,8,10,7,9]=>[9,7,10,8,6,5,4,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>8 [1,3,8,6,7,2,4,5]=>[1,6,8,7,3,2,4,5]=>[5,4,2,3,7,8,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [2,8,5,6,1,3,7,4]=>[5,2,1,6,8,7,3,4]=>[4,3,7,8,6,1,2,5]=>[[1,3,4],[2,5,8],[6,7]]=>14 [2,8,3,7,6,1,4,5]=>[2,8,7,3,1,6,4,5]=>[5,4,6,1,3,7,8,2]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [4,2,7,8,6,1,3,5]=>[7,8,4,2,1,6,3,5]=>[5,3,6,1,2,4,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>15 [3,7,8,6,5,1,4,2]=>[7,3,8,6,5,1,4,2]=>[2,4,1,5,6,8,3,7]=>[[1,2,4,5,6],[3,7,8]]=>20 [1,3,8,7,6,2,4,5]=>[8,1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>13 [1,4,7,8,6,2,3,5]=>[7,1,8,6,4,2,3,5]=>[5,3,2,4,6,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [1,7,5,6,8,2,3,4]=>[5,1,7,6,2,8,3,4]=>[4,3,8,2,6,7,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [7,4,5,8,2,6,3,1]=>[4,5,2,7,8,6,3,1]=>[1,3,6,8,7,2,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [7,5,3,6,8,2,1,4]=>[3,5,7,6,2,1,8,4]=>[4,8,1,2,6,7,5,3]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [5,2,6,7,8,1,3,4]=>[5,6,7,2,1,3,8,4]=>[4,8,3,1,2,7,6,5]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [4,5,7,8,1,6,2,3]=>[7,4,5,1,8,2,6,3]=>[3,6,2,8,1,5,4,7]=>[[1,2,4],[3,6,8],[5,7]]=>16 [4,5,6,8,1,2,7,3]=>[4,5,1,6,8,2,7,3]=>[3,7,2,8,6,1,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [3,5,8,6,1,2,7,4]=>[5,1,8,6,3,7,2,4]=>[4,2,7,3,6,8,1,5]=>[[1,3,5,6],[2,4],[7,8]]=>14 [1,4,6,8,7,2,3,5]=>[8,6,1,7,4,2,3,5]=>[5,3,2,4,7,1,6,8]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [3,4,8,1,5,7,2,6]=>[3,8,1,7,4,5,2,6]=>[6,2,5,4,7,1,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [5,3,8,4,2,7,1,6]=>[3,8,5,4,7,2,1,6]=>[6,1,2,7,4,5,8,3]=>[[1,3,4,6,7],[2,5],[8]]=>16 [5,3,8,7,2,6,1,4]=>[3,8,5,7,2,1,6,4]=>[4,6,1,2,7,5,8,3]=>[[1,2,5,7],[3,4,6],[8]]=>18 [5,3,8,6,2,1,7,4]=>[3,8,5,2,1,6,7,4]=>[4,7,6,1,2,5,8,3]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [1,6,5,7,8,2,3,4]=>[6,5,1,7,2,8,3,4]=>[4,3,8,2,7,1,5,6]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [6,7,4,8,5,2,3,1]=>[6,4,7,2,8,5,3,1]=>[1,3,5,8,2,7,4,6]=>[[1,2,3,4],[5,6,8],[7]]=>22 [7,6,4,8,5,1,3,2]=>[4,1,7,6,8,5,3,2]=>[2,3,5,8,6,7,1,4]=>[[1,2,3,4,6],[5,8],[7]]=>22 [7,2,6,4,1,3,5,8]=>[7,2,1,4,3,6,5,8]=>[8,5,6,3,4,1,2,7]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [7,1,3,4,6,2,5,8]=>[7,3,4,1,2,6,5,8]=>[8,5,6,2,1,4,3,7]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [7,3,6,5,2,4,1,8]=>[7,6,3,2,5,4,1,8]=>[8,1,4,5,2,3,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>17 [6,3,7,5,2,4,8,1]=>[6,7,3,2,5,4,8,1]=>[1,8,4,5,2,3,7,6]=>[[1,2,4,7],[3,6,8],[5]]=>17 [8,1,2,7,4,5,3,6]=>[1,8,4,5,2,3,7,6]=>[6,7,3,2,5,4,8,1]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [2,5,7,4,6,1,3,8]=>[7,5,4,6,2,1,3,8]=>[8,3,1,2,6,4,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>12 [8,5,7,4,3,1,2,6]=>[1,8,5,4,3,2,7,6]=>[6,7,2,3,4,5,8,1]=>[[1,2,5,6,7],[3,4],[8]]=>21 [4,6,8,3,1,2,7,5]=>[1,8,6,4,3,7,2,5]=>[5,2,7,3,4,6,8,1]=>[[1,3,5,6,7],[2,4],[8]]=>15 [6,1,7,4,5,3,8,2]=>[6,4,7,5,1,3,8,2]=>[2,8,3,1,5,7,4,6]=>[[1,2,5,6],[3,7,8],[4]]=>15 [8,5,7,3,2,1,4,6]=>[3,2,1,8,5,4,7,6]=>[6,7,4,5,8,1,2,3]=>[[1,2,5],[3,4,8],[6,7]]=>19 [8,2,7,3,1,5,4,6]=>[2,3,8,1,5,4,7,6]=>[6,7,4,5,1,8,3,2]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [8,2,1,7,4,5,3,6]=>[2,4,8,5,1,3,7,6]=>[6,7,3,1,5,8,4,2]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [2,6,4,8,3,1,7,5]=>[2,6,8,4,3,7,1,5]=>[5,1,7,3,4,8,6,2]=>[[1,3,5,6],[2,4,7],[8]]=>13 [8,1,3,7,5,6,4,2]=>[1,8,7,5,6,3,4,2]=>[2,4,3,6,5,7,8,1]=>[[1,2,4,6,7],[3,5],[8]]=>17 [3,8,2,6,1,4,7,5]=>[3,2,1,8,6,7,4,5]=>[5,4,7,6,8,1,2,3]=>[[1,3,5],[2,4,8],[6,7]]=>13 [1,6,4,7,5,8,3,2]=>[4,6,7,5,8,3,1,2]=>[2,1,3,8,5,7,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [1,6,8,5,7,3,2,4]=>[1,8,6,5,7,3,2,4]=>[4,2,3,7,5,6,8,1]=>[[1,3,4,6,7],[2,5],[8]]=>16 [1,2,5,3,8,6,7,4]=>[1,8,5,6,7,2,3,4]=>[4,3,2,7,6,5,8,1]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [4,1,6,5,7,8,2,3]=>[6,4,5,7,1,2,8,3]=>[3,8,2,1,7,5,4,6]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [3,8,1,2,6,4,7,5]=>[1,8,3,2,6,7,4,5]=>[5,4,7,6,2,3,8,1]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [6,1,3,7,4,2,8,5]=>[6,3,4,1,2,7,8,5]=>[5,8,7,2,1,4,3,6]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [6,7,2,4,1,3,8,5]=>[6,2,1,4,3,7,8,5]=>[5,8,7,3,4,1,2,6]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [8,7,1,3,5,4,2,6]=>[5,3,4,1,2,8,7,6]=>[6,7,8,2,1,4,3,5]=>[[1,2,3],[4,6,8],[5,7]]=>17 [8,7,1,4,6,2,5,3]=>[1,8,4,7,2,6,5,3]=>[3,5,6,2,7,4,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>19 [7,3,8,4,2,6,5,1]=>[3,7,4,8,2,6,5,1]=>[1,5,6,2,8,4,7,3]=>[[1,2,3,5],[4,6,7],[8]]=>19 [8,5,3,4,2,7,1,6]=>[3,5,4,8,2,1,7,6]=>[6,7,1,2,8,4,5,3]=>[[1,2,5,7],[3,4,6],[8]]=>18 [8,1,3,4,5,2,7,6]=>[3,4,5,8,1,2,7,6]=>[6,7,2,1,8,5,4,3]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [8,4,3,5,1,7,2,6]=>[4,3,5,1,8,2,7,6]=>[6,7,2,8,1,5,3,4]=>[[1,2,4],[3,6,8],[5,7]]=>16 [4,8,2,6,1,3,7,5]=>[4,2,1,6,8,7,3,5]=>[5,3,7,8,6,1,2,4]=>[[1,3,4],[2,5,8],[6,7]]=>14 [1,3,8,2,5,6,7,4]=>[3,5,6,8,7,1,2,4]=>[4,2,1,7,8,6,5,3]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [3,7,8,2,5,6,4,1]=>[3,7,5,8,6,2,4,1]=>[1,4,2,6,8,5,7,3]=>[[1,2,4,5],[3,6,7],[8]]=>18 [1,8,6,7,2,5,4,3]=>[1,8,6,7,5,4,2,3]=>[3,2,4,5,7,6,8,1]=>[[1,3,4,5,7],[2,6],[8]]=>17 [7,6,8,3,5,4,2,1]=>[3,7,6,8,5,4,2,1]=>[1,2,4,5,8,6,7,3]=>[[1,2,3,4,5,7],[6],[8]]=>24 [1,6,7,3,8,5,4,2]=>[3,6,7,8,5,4,1,2]=>[2,1,4,5,8,7,6,3]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [7,3,4,8,1,6,5,2]=>[3,4,7,8,1,6,5,2]=>[2,5,6,1,8,7,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [7,8,4,6,2,1,5,3]=>[4,2,1,7,8,6,5,3]=>[3,5,6,8,7,1,2,4]=>[[1,2,3,4],[5,7,8],[6]]=>21 [8,7,6,2,3,1,5,4]=>[2,3,8,1,7,6,5,4]=>[4,5,6,7,1,8,3,2]=>[[1,2,3,4,6],[5,7],[8]]=>21 [8,7,2,4,6,1,5,3]=>[2,4,8,7,1,6,5,3]=>[3,5,6,1,7,8,4,2]=>[[1,2,3,5,6],[4,7],[8]]=>20 [2,8,6,7,1,5,4,3]=>[2,6,8,7,5,4,1,3]=>[3,1,4,5,7,8,6,2]=>[[1,3,4,5,6],[2,7],[8]]=>18 [7,8,6,5,2,4,3,1]=>[2,7,8,6,5,4,3,1]=>[1,3,4,5,6,8,7,2]=>[[1,2,3,4,5,6],[7],[8]]=>25 [3,6,7,5,2,8,4,1]=>[6,7,5,3,8,2,4,1]=>[1,4,2,8,3,5,7,6]=>[[1,2,4,6,7],[3,5],[8]]=>17 [5,4,6,7,8,1,3,2]=>[5,4,6,1,7,8,3,2]=>[2,3,8,7,1,6,4,5]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [5,3,6,7,8,1,4,2]=>[3,5,6,1,7,8,4,2]=>[2,4,8,7,1,6,5,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [5,3,7,6,8,4,1,2]=>[7,3,5,6,1,8,4,2]=>[2,4,8,1,6,5,3,7]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [6,3,7,5,4,8,2,1]=>[6,7,3,5,4,8,2,1]=>[1,2,8,4,5,3,7,6]=>[[1,2,3,5,7],[4,8],[6]]=>19 [5,4,8,6,7,2,3,1]=>[8,5,4,6,2,7,3,1]=>[1,3,7,2,6,4,5,8]=>[[1,2,3,7,8],[4,5],[6]]=>20 [2,7,8,4,6,3,5,1]=>[7,8,2,6,4,3,5,1]=>[1,5,3,4,6,2,8,7]=>[[1,2,4,5,7],[3,8],[6]]=>18 [6,4,3,7,5,2,8,1]=>[4,3,6,7,5,2,8,1]=>[1,8,2,5,7,6,3,4]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [4,5,7,3,6,2,8,1]=>[7,4,5,3,6,2,8,1]=>[1,8,2,6,3,5,4,7]=>[[1,2,4,6,8],[3],[5],[7]]=>16 [4,5,6,3,8,2,7,1]=>[4,5,6,8,3,2,7,1]=>[1,7,2,3,8,6,5,4]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [2,5,4,7,8,1,3,6]=>[5,7,8,4,2,1,3,6]=>[6,3,1,2,4,8,7,5]=>[[1,4,5,6],[2,7],[3,8]]=>12 [7,1,6,3,5,2,8,4]=>[7,6,1,3,2,5,8,4]=>[4,8,5,2,3,1,6,7]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [7,1,4,3,6,2,8,5]=>[4,7,3,1,2,6,8,5]=>[5,8,6,2,1,3,7,4]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [5,3,6,4,8,2,7,1]=>[3,5,6,8,4,2,7,1]=>[1,7,2,4,8,6,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [8,2,6,3,7,4,5,1]=>[8,2,3,6,4,7,5,1]=>[1,5,7,4,6,3,2,8]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [8,2,6,5,7,3,4,1]=>[8,6,2,5,3,7,4,1]=>[1,4,7,3,5,2,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>20 [4,5,6,2,7,3,8,1]=>[4,5,2,6,7,3,8,1]=>[1,8,3,7,6,2,5,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [5,3,1,7,6,2,8,4]=>[7,1,3,5,2,6,8,4]=>[4,8,6,2,5,3,1,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [7,4,6,1,5,2,8,3]=>[4,1,7,2,6,5,8,3]=>[3,8,5,6,2,7,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [5,4,6,2,8,3,7,1]=>[5,4,6,2,8,3,7,1]=>[1,7,3,8,2,6,4,5]=>[[1,2,4,8],[3,6],[5,7]]=>16 [8,4,6,1,7,2,5,3]=>[1,8,4,2,6,7,5,3]=>[3,5,7,6,2,4,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [3,8,4,2,5,1,6,7]=>[3,4,2,5,1,8,6,7]=>[7,6,8,1,5,2,4,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [4,3,1,5,2,8,6,7]=>[1,4,8,3,5,2,6,7]=>[7,6,2,5,3,8,4,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [2,5,4,3,8,1,6,7]=>[5,8,4,2,3,1,6,7]=>[7,6,1,3,2,4,8,5]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [2,5,7,4,3,1,6,8]=>[7,5,4,2,3,1,6,8]=>[8,6,1,3,2,4,5,7]=>[[1,4,6,7,8],[2],[3],[5]]=>11 [5,3,4,2,7,1,6,8]=>[3,5,4,7,2,1,6,8]=>[8,6,1,2,7,4,5,3]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [3,7,5,4,1,2,6,8]=>[7,3,1,5,4,2,6,8]=>[8,6,2,4,5,1,3,7]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [7,5,1,4,3,2,6,8]=>[5,4,1,3,2,7,6,8]=>[8,6,7,2,3,1,4,5]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [4,2,5,1,3,8,7,6]=>[2,4,8,1,5,7,3,6]=>[6,3,7,5,1,8,4,2]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [4,3,5,1,2,7,6,8]=>[4,3,1,5,7,2,6,8]=>[8,6,2,7,5,1,3,4]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [5,3,4,1,7,2,6,8]=>[3,5,4,1,7,2,6,8]=>[8,6,2,7,1,4,5,3]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [4,1,6,3,5,2,7,8]=>[6,4,1,3,5,2,7,8]=>[8,7,2,5,3,1,4,6]=>[[1,4,7,8],[2],[3],[5],[6]]=>8 [7,1,5,3,2,6,4,8]=>[3,1,2,7,5,6,4,8]=>[8,4,6,5,7,2,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [4,2,1,8,6,3,7,5]=>[2,8,4,1,6,7,3,5]=>[5,3,7,6,1,4,8,2]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [7,3,6,4,1,2,5,8]=>[3,1,7,4,2,6,5,8]=>[8,5,6,2,4,7,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [7,1,6,3,5,2,4,8]=>[7,6,1,3,2,5,4,8]=>[8,4,5,2,3,1,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [3,1,7,2,5,6,4,8]=>[7,3,1,5,6,2,4,8]=>[8,4,2,6,5,1,3,7]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [3,7,2,4,1,6,5,8]=>[3,2,4,7,6,1,5,8]=>[8,5,1,6,7,4,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [2,7,6,4,1,3,5,8]=>[7,2,1,6,4,3,5,8]=>[8,5,3,4,6,1,2,7]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [2,3,7,6,1,5,4,8]=>[2,7,6,3,5,1,4,8]=>[8,4,1,5,3,6,7,2]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [2,5,4,6,1,3,7,8]=>[5,4,6,2,1,3,7,8]=>[8,7,3,1,2,6,4,5]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [2,5,6,4,1,3,7,8]=>[5,6,4,2,1,3,7,8]=>[8,7,3,1,2,4,6,5]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [6,4,1,7,2,5,3,8]=>[4,1,2,6,7,5,3,8]=>[8,3,5,7,6,2,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [2,8,5,7,1,3,6,4]=>[5,2,8,1,7,6,3,4]=>[4,3,6,7,1,8,2,5]=>[[1,3,4,6],[2,7,8],[5]]=>15 [8,5,2,6,1,3,7,4]=>[5,2,1,3,6,8,7,4]=>[4,7,8,6,3,1,2,5]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [7,1,5,6,3,2,4,8]=>[7,5,1,3,2,6,4,8]=>[8,4,6,2,3,1,5,7]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [4,1,2,7,5,6,3,8]=>[1,7,2,4,5,6,3,8]=>[8,3,6,5,4,2,7,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>8 [7,1,2,6,5,4,3,8]=>[7,6,5,1,2,4,3,8]=>[8,3,4,2,1,5,6,7]=>[[1,3,6,7,8],[2],[4],[5]]=>12 [7,5,1,4,6,2,3,8]=>[5,4,1,2,7,6,3,8]=>[8,3,6,7,2,1,4,5]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [7,1,3,5,6,2,4,8]=>[3,7,5,1,2,6,4,8]=>[8,4,6,2,1,5,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [8,2,1,5,6,3,7,4]=>[2,8,1,5,3,6,7,4]=>[4,7,6,3,5,1,8,2]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [2,8,5,1,6,4,7,3]=>[2,5,6,4,8,7,1,3]=>[3,1,7,8,4,6,5,2]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [6,1,4,5,3,2,7,8]=>[4,6,5,1,3,2,7,8]=>[8,7,2,3,1,5,6,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [3,1,6,5,4,2,7,8]=>[6,5,1,3,4,2,7,8]=>[8,7,2,4,3,1,5,6]=>[[1,4,7,8],[2],[3],[5],[6]]=>8 [3,1,4,6,5,2,7,8]=>[6,1,3,4,5,2,7,8]=>[8,7,2,5,4,3,1,6]=>[[1,4,8],[2],[3],[5],[6],[7]]=>6 [5,7,3,1,8,4,2,6]=>[3,1,7,5,8,4,2,6]=>[6,2,4,8,5,7,1,3]=>[[1,3,4,6],[2,5],[7,8]]=>15 [2,1,8,6,3,7,5,4]=>[2,6,8,7,5,1,3,4]=>[4,3,1,5,7,8,6,2]=>[[1,4,5,6],[2,7],[3,8]]=>12 [5,8,3,1,7,6,4,2]=>[8,1,5,7,3,6,4,2]=>[2,4,6,3,7,5,1,8]=>[[1,2,3,5,8],[4,6],[7]]=>18 [7,4,1,6,8,3,2,5]=>[7,4,6,1,3,2,8,5]=>[5,8,2,3,1,6,4,7]=>[[1,2,6,8],[3,4],[5,7]]=>16 [7,6,3,2,8,5,1,4]=>[3,7,2,6,1,8,5,4]=>[4,5,8,1,6,2,7,3]=>[[1,2,3,7],[4,5,8],[6]]=>19 [7,6,2,4,1,3,8,5]=>[4,2,1,3,7,6,8,5]=>[5,8,6,7,3,1,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [5,3,8,4,7,2,1,6]=>[5,8,3,7,4,2,1,6]=>[6,1,2,4,7,3,8,5]=>[[1,3,4,5,7],[2,8],[6]]=>17 [5,6,3,8,7,4,1,2]=>[5,8,3,6,1,7,4,2]=>[2,4,7,1,6,3,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>19 [5,2,6,8,7,4,1,3]=>[8,5,6,7,2,1,4,3]=>[3,4,1,2,7,6,5,8]=>[[1,2,5,8],[3,4,6],[7]]=>17 [6,7,3,8,1,5,4,2]=>[3,1,6,7,8,5,4,2]=>[2,4,5,8,7,6,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [6,3,8,1,5,4,2,7]=>[1,3,6,8,5,4,2,7]=>[7,2,4,5,8,6,3,1]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [6,3,8,4,5,1,2,7]=>[3,6,4,1,8,5,2,7]=>[7,2,5,8,1,4,6,3]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [2,6,3,4,8,1,5,7]=>[6,2,3,8,4,1,5,7]=>[7,5,1,4,8,3,2,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [5,6,1,8,7,4,3,2]=>[8,5,6,7,1,4,3,2]=>[2,3,4,1,7,6,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>18 [5,2,3,1,4,8,6,7]=>[2,3,5,1,8,4,6,7]=>[7,6,4,8,1,5,3,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>8 [5,4,1,3,2,8,6,7]=>[5,1,4,8,3,2,6,7]=>[7,6,2,3,8,4,1,5]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [3,7,4,2,8,5,6,1]=>[3,4,7,2,8,5,6,1]=>[1,6,5,8,2,7,4,3]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [5,1,4,3,2,8,6,7]=>[5,4,8,1,3,2,6,7]=>[7,6,2,3,1,8,4,5]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [5,2,1,4,3,8,6,7]=>[2,5,8,1,4,3,6,7]=>[7,6,3,4,1,8,5,2]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [5,2,1,3,4,8,6,7]=>[2,5,1,3,8,4,6,7]=>[7,6,4,8,3,1,5,2]=>[[1,4],[2,7],[3,8],[5],[6]]=>7 [5,1,2,4,3,8,6,7]=>[5,8,1,2,4,3,6,7]=>[7,6,3,4,2,1,8,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [6,7,1,8,3,5,4,2]=>[6,1,7,8,3,5,4,2]=>[2,4,5,3,8,7,1,6]=>[[1,2,3,5],[4,6],[7,8]]=>18 [3,2,6,1,8,4,5,7]=>[6,8,3,2,1,4,5,7]=>[7,5,4,1,2,3,8,6]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [4,2,7,3,8,5,1,6]=>[7,4,2,8,3,5,1,6]=>[6,1,5,3,8,2,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [4,7,3,2,8,5,1,6]=>[4,3,7,2,8,5,1,6]=>[6,1,5,8,2,7,3,4]=>[[1,3,4,8],[2,6],[5,7]]=>15 [2,3,7,4,8,5,1,6]=>[7,2,3,8,4,5,1,6]=>[6,1,5,4,8,3,2,7]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [4,3,7,2,8,5,6,1]=>[7,4,8,3,2,5,6,1]=>[1,6,5,2,3,8,4,7]=>[[1,2,5,6,8],[3,7],[4]]=>15 [2,3,7,1,8,5,4,6]=>[7,2,3,8,5,1,4,6]=>[6,4,1,5,8,3,2,7]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [5,4,3,1,2,8,6,7]=>[5,4,3,1,8,2,6,7]=>[7,6,2,8,1,3,4,5]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [5,2,4,1,3,8,6,7]=>[5,2,4,1,8,3,6,7]=>[7,6,3,8,1,4,2,5]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [5,2,4,3,1,8,6,7]=>[5,2,4,8,3,1,6,7]=>[7,6,1,3,8,4,2,5]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [5,3,4,1,2,8,6,7]=>[3,5,4,1,8,2,6,7]=>[7,6,2,8,1,4,5,3]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [5,3,2,4,1,8,6,7]=>[3,2,5,8,4,1,6,7]=>[7,6,1,4,8,5,2,3]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [2,6,1,7,4,5,8,3]=>[6,2,4,7,5,8,1,3]=>[3,1,8,5,7,4,2,6]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [5,1,7,3,4,6,8,2]=>[1,7,5,3,4,6,8,2]=>[2,8,6,4,3,5,7,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>12 [5,8,7,4,3,1,6,2]=>[1,8,7,5,4,3,6,2]=>[2,6,3,4,5,7,8,1]=>[[1,2,4,5,6,7],[3],[8]]=>21 [7,3,1,4,5,8,6,2]=>[1,3,4,5,7,8,6,2]=>[2,6,8,7,5,4,3,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>13 [6,8,1,3,4,5,7,2]=>[1,3,6,4,8,5,7,2]=>[2,7,5,8,4,6,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [5,8,1,3,4,6,7,2]=>[1,3,8,5,4,6,7,2]=>[2,7,6,4,5,8,3,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>14 [5,2,6,3,7,8,1,4]=>[5,2,3,6,7,1,8,4]=>[4,8,1,7,6,3,2,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [3,5,2,8,1,6,7,4]=>[8,5,3,2,6,7,1,4]=>[4,1,7,6,2,3,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>12 [4,5,6,2,8,1,7,3]=>[4,5,2,6,8,1,7,3]=>[3,7,1,8,6,2,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [2,6,1,4,8,5,7,3]=>[6,2,4,8,5,7,1,3]=>[3,1,7,5,8,4,2,6]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [6,1,8,4,2,5,3,7]=>[1,6,2,4,8,5,3,7]=>[7,3,5,8,4,2,6,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [8,4,5,1,6,2,3,7]=>[1,4,5,2,6,3,8,7]=>[7,8,3,6,2,5,4,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>15 [3,1,7,8,2,5,4,6]=>[1,7,3,8,5,2,4,6]=>[6,4,2,5,8,3,7,1]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [6,2,8,3,5,7,1,4]=>[6,2,8,3,5,1,7,4]=>[4,7,1,5,3,8,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [6,2,3,7,4,1,8,5]=>[6,2,3,4,1,7,8,5]=>[5,8,7,1,4,3,2,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [6,3,7,4,1,2,5,8]=>[6,3,1,4,2,7,5,8]=>[8,5,7,2,4,1,3,6]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [7,2,6,8,4,3,1,5]=>[7,6,4,2,3,1,8,5]=>[5,8,1,3,2,4,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>18 [3,7,2,8,6,5,1,4]=>[7,8,3,6,5,2,1,4]=>[4,1,2,5,6,3,8,7]=>[[1,3,4,5,7],[2,6,8]]=>17 [7,4,5,1,8,2,3,6]=>[1,4,5,2,7,3,8,6]=>[6,8,3,7,2,5,4,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>15 [4,7,1,8,2,3,6,5]=>[1,4,2,7,8,6,3,5]=>[5,3,6,8,7,2,4,1]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [7,2,3,1,8,4,5,6]=>[7,2,3,1,4,5,8,6]=>[6,8,5,4,1,3,2,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [2,1,4,8,3,7,5,6]=>[8,2,7,4,1,3,5,6]=>[6,5,3,1,4,7,2,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [6,2,8,1,7,3,4,5]=>[6,2,1,8,3,4,7,5]=>[5,7,4,3,8,1,2,6]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [1,2,7,8,4,3,6,5]=>[7,1,4,8,6,2,3,5]=>[5,3,2,6,8,4,1,7]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [5,8,1,4,3,2,7,6]=>[5,4,1,3,8,7,2,6]=>[6,2,7,8,3,1,4,5]=>[[1,3,4,8],[2,5,7],[6]]=>14 [6,8,1,3,2,4,5,7]=>[3,1,2,4,8,6,5,7]=>[7,5,6,8,4,2,1,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [5,3,7,8,4,2,6,1]=>[5,7,3,8,4,2,6,1]=>[1,6,2,4,8,3,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>18 [7,3,5,2,4,8,6,1]=>[5,3,2,4,7,8,6,1]=>[1,6,8,7,4,2,3,5]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [8,5,2,4,3,1,7,6]=>[5,2,4,3,8,1,7,6]=>[6,7,1,8,3,4,2,5]=>[[1,2,4,8],[3,5,6],[7]]=>16 [7,5,4,2,3,1,8,6]=>[2,5,4,3,1,7,8,6]=>[6,8,7,1,3,4,5,2]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [5,7,4,1,3,2,8,6]=>[7,1,5,4,3,8,2,6]=>[6,2,8,3,4,5,1,7]=>[[1,3,5,6,8],[2,4],[7]]=>14 [8,6,2,5,1,7,3,4]=>[2,6,5,1,3,8,7,4]=>[4,7,8,3,1,5,6,2]=>[[1,2,3],[4,6,7],[5,8]]=>18 [7,5,6,2,8,1,3,4]=>[2,5,1,7,6,3,8,4]=>[4,8,3,6,7,1,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [8,4,2,5,3,7,1,6]=>[2,4,5,8,3,1,7,6]=>[6,7,1,3,8,5,4,2]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [1,4,2,6,5,8,7,3]=>[6,8,1,4,5,7,2,3]=>[3,2,7,5,4,1,8,6]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [1,4,2,5,3,8,7,6]=>[8,1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1,8]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [1,4,2,6,3,8,7,5]=>[4,8,1,6,7,2,3,5]=>[5,3,2,7,6,1,8,4]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [2,5,1,4,3,8,7,6]=>[2,5,8,4,7,1,3,6]=>[6,3,1,7,4,8,5,2]=>[[1,4,6],[2,5,7],[3,8]]=>8 [1,7,2,5,4,8,6,3]=>[7,1,5,8,4,6,2,3]=>[3,2,6,4,8,5,1,7]=>[[1,3,5,8],[2,4,6],[7]]=>11 [1,7,3,5,4,8,6,2]=>[5,3,4,7,8,6,1,2]=>[2,1,6,8,7,4,3,5]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [1,8,2,6,3,7,5,4]=>[1,8,6,7,2,5,3,4]=>[4,3,5,2,7,6,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [1,8,3,6,4,7,5,2]=>[3,4,8,6,7,5,1,2]=>[2,1,5,7,6,8,4,3]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [1,7,3,6,4,8,5,2]=>[3,7,4,6,8,5,1,2]=>[2,1,5,8,6,4,7,3]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [1,7,2,6,4,8,5,3]=>[1,7,6,8,4,5,2,3]=>[3,2,5,4,8,6,7,1]=>[[1,3,5,7],[2,4,6],[8]]=>12 [1,7,2,6,3,8,5,4]=>[7,1,6,8,2,5,3,4]=>[4,3,5,2,8,6,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [1,5,2,7,4,8,6,3]=>[7,5,8,1,4,6,2,3]=>[3,2,6,4,1,8,5,7]=>[[1,3,6,8],[2,4,7],[5]]=>10 [1,4,3,7,5,8,6,2]=>[7,4,8,3,5,6,1,2]=>[2,1,6,5,3,8,4,7]=>[[1,3,6,8],[2,4,7],[5]]=>10 [1,4,2,8,5,7,6,3]=>[8,1,7,4,5,6,2,3]=>[3,2,6,5,4,7,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [4,8,1,3,2,6,5,7]=>[4,1,3,8,2,6,5,7]=>[7,5,6,2,8,3,1,4]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [1,5,2,8,4,7,6,3]=>[5,8,7,1,4,6,2,3]=>[3,2,6,4,1,7,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>11 [1,5,3,8,4,7,6,2]=>[5,8,3,7,4,6,1,2]=>[2,1,6,4,7,3,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>12 [1,6,3,8,4,7,5,2]=>[6,8,3,4,7,5,1,2]=>[2,1,5,7,4,3,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>13 [1,6,2,8,3,7,5,4]=>[8,1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [2,8,3,7,1,5,4,6]=>[2,3,8,7,1,5,4,6]=>[6,4,5,1,7,8,3,2]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [1,8,4,7,3,6,5,2]=>[4,8,7,3,6,5,1,2]=>[2,1,5,6,3,7,8,4]=>[[1,3,4,6,7],[2,5,8]]=>16 [2,6,3,8,1,5,4,7]=>[2,6,3,8,5,1,4,7]=>[7,4,1,5,8,3,6,2]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [8,3,1,4,2,6,5,7]=>[1,3,4,6,2,5,8,7]=>[7,8,5,2,6,4,3,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>11 [6,8,7,3,5,2,4,1]=>[6,8,3,2,7,5,4,1]=>[1,4,5,7,2,3,8,6]=>[[1,2,3,4,7],[5,6,8]]=>23 [8,3,5,1,2,6,4,7]=>[1,5,3,6,2,4,8,7]=>[7,8,4,2,6,3,5,1]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [8,6,4,1,5,3,2,7]=>[1,6,4,5,3,2,8,7]=>[7,8,2,3,5,4,6,1]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [8,6,5,4,1,3,2,7]=>[6,1,5,4,3,2,8,7]=>[7,8,2,3,4,5,1,6]=>[[1,2,5,6,8],[3,4],[7]]=>20 [5,3,8,7,4,6,2,1]=>[8,5,3,7,4,6,2,1]=>[1,2,6,4,7,3,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>20 [6,8,7,3,1,5,4,2]=>[1,6,8,3,7,5,4,2]=>[2,4,5,7,3,8,6,1]=>[[1,2,3,4,6],[5,7],[8]]=>21 [6,8,5,4,1,3,7,2]=>[8,1,6,5,4,3,7,2]=>[2,7,3,4,5,6,1,8]=>[[1,2,4,5,6,8],[3],[7]]=>20 [2,5,8,7,4,6,3,1]=>[8,7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7,8]=>[[1,2,4,6,7,8],[3,5]]=>18 [4,8,7,6,5,1,3,2]=>[4,8,7,6,1,5,3,2]=>[2,3,5,1,6,7,8,4]=>[[1,2,3,5,6,7],[4,8]]=>22 [3,8,7,5,1,6,2,4]=>[5,3,1,8,7,6,2,4]=>[4,2,6,7,8,1,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>18 [2,3,8,7,5,6,1,4]=>[5,8,7,6,2,3,1,4]=>[4,1,3,2,6,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>15 [2,8,7,1,3,6,4,5]=>[8,2,1,3,7,6,4,5]=>[5,4,6,7,3,1,2,8]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [8,5,4,7,2,1,3,6]=>[5,2,1,8,4,3,7,6]=>[6,7,3,4,8,1,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>19 [6,8,2,1,7,5,3,4]=>[8,2,6,1,3,7,5,4]=>[4,5,7,3,1,6,2,8]=>[[1,2,3,8],[4,6],[5,7]]=>17 [2,4,8,6,5,1,7,3]=>[8,4,6,5,2,7,1,3]=>[3,1,7,2,5,6,4,8]=>[[1,3,5,6,8],[2,4],[7]]=>14 [4,8,7,6,5,2,1,3]=>[8,7,6,4,2,1,5,3]=>[3,5,1,2,4,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>22 [4,8,7,5,1,6,2,3]=>[1,4,8,7,5,2,6,3]=>[3,6,2,5,7,8,4,1]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [4,5,2,1,8,6,7,3]=>[4,8,2,1,5,6,7,3]=>[3,7,6,5,1,2,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [4,5,8,3,1,6,7,2]=>[4,1,8,5,3,6,7,2]=>[2,7,6,3,5,8,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [6,7,3,2,4,8,5,1]=>[3,2,6,4,7,8,5,1]=>[1,5,8,7,4,6,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [7,2,8,6,4,5,1,3]=>[7,2,8,6,4,1,5,3]=>[3,5,1,4,6,8,2,7]=>[[1,2,5,6],[3,4,8],[7]]=>20 [8,7,2,6,5,1,3,4]=>[2,1,8,7,3,6,5,4]=>[4,5,6,3,7,8,1,2]=>[[1,2,3,5,6],[4,8],[7]]=>21 [5,2,7,8,4,1,3,6]=>[5,2,7,1,8,4,3,6]=>[6,3,4,8,1,7,2,5]=>[[1,3,4],[2,6,8],[5,7]]=>15 [7,6,3,5,2,8,4,1]=>[7,3,2,6,5,8,4,1]=>[1,4,8,5,6,2,3,7]=>[[1,2,3,5,8],[4,7],[6]]=>20 [6,2,7,4,8,5,3,1]=>[6,2,7,8,4,5,3,1]=>[1,3,5,4,8,7,2,6]=>[[1,2,3,5],[4,6],[7,8]]=>18 [8,6,5,1,7,2,4,3]=>[1,6,2,5,8,7,4,3]=>[3,4,7,8,5,2,6,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [6,8,5,1,7,3,2,4]=>[8,6,1,5,3,2,7,4]=>[4,7,2,3,5,1,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>19 [3,5,2,6,4,8,1,7]=>[5,3,6,8,2,4,1,7]=>[7,1,4,2,8,6,3,5]=>[[1,3,5,8],[2,6],[4,7]]=>11 [4,6,3,8,7,5,2,1]=>[6,8,4,7,3,5,2,1]=>[1,2,5,3,7,4,8,6]=>[[1,2,3,5,7],[4,6,8]]=>19 [6,3,8,7,5,4,2,1]=>[8,6,7,3,5,4,2,1]=>[1,2,4,5,3,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>22 [6,8,4,2,1,7,5,3]=>[2,1,6,8,4,7,5,3]=>[3,5,7,4,8,6,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>18 [5,2,6,4,3,8,1,7]=>[5,6,2,4,8,3,1,7]=>[7,1,3,8,4,2,6,5]=>[[1,3,4,7],[2,5],[6,8]]=>13 [3,1,7,8,6,4,2,5]=>[7,3,8,6,1,4,2,5]=>[5,2,4,1,6,8,3,7]=>[[1,3,5,6],[2,7,8],[4]]=>14 [3,8,1,7,6,2,5,4]=>[3,8,7,1,6,5,2,4]=>[4,2,5,6,1,7,8,3]=>[[1,3,4,6,7],[2,8],[5]]=>16 [8,1,7,6,4,2,5,3]=>[1,2,8,7,6,4,5,3]=>[3,5,4,6,7,8,2,1]=>[[1,2,4,5,6],[3],[7],[8]]=>19 [7,3,8,6,4,1,5,2]=>[7,3,1,8,4,6,5,2]=>[2,5,6,4,8,1,3,7]=>[[1,2,3,5],[4,7,8],[6]]=>20 [6,1,5,2,4,8,3,7]=>[6,1,5,8,2,4,3,7]=>[7,3,4,2,8,5,1,6]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [8,7,1,3,6,5,2,4]=>[8,7,3,1,2,6,5,4]=>[4,5,6,2,1,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>19 [2,6,7,4,3,8,5,1]=>[2,6,7,4,8,3,5,1]=>[1,5,3,8,4,7,6,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [5,2,4,7,3,8,6,1]=>[5,7,2,4,8,3,6,1]=>[1,6,3,8,4,2,7,5]=>[[1,2,4,7],[3,5],[6,8]]=>14 [1,5,8,7,2,4,6,3]=>[5,1,8,7,4,6,2,3]=>[3,2,6,4,7,8,1,5]=>[[1,3,5,6],[2,4,8],[7]]=>14 [1,4,8,7,3,6,5,2]=>[4,8,7,6,3,5,1,2]=>[2,1,5,3,6,7,8,4]=>[[1,3,5,6,7],[2,4,8]]=>15 [8,3,7,2,5,1,6,4]=>[8,3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3,8]=>[[1,2,4,8],[3,6,7],[5]]=>18 [7,2,1,5,8,4,3,6]=>[5,7,2,4,1,3,8,6]=>[6,8,3,1,4,2,7,5]=>[[1,2,7],[3,5,8],[4,6]]=>13 [7,2,8,1,4,3,6,5]=>[2,7,1,4,8,3,6,5]=>[5,6,3,8,4,1,7,2]=>[[1,2,4],[3,5,7],[6,8]]=>14 [6,1,5,4,3,8,2,7]=>[6,5,4,8,1,3,2,7]=>[7,2,3,1,8,4,5,6]=>[[1,3,5,7,8],[2,6],[4]]=>13 [1,6,4,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>[8,7,5,3,4,2,6,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>6 [1,6,5,2,3,4,7,8]=>[1,2,6,5,3,4,7,8]=>[8,7,4,3,5,6,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>7 [1,8,5,2,3,4,6,7]=>[1,2,5,3,4,8,6,7]=>[7,6,8,4,3,5,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>9 [1,8,7,2,3,4,5,6]=>[1,2,3,4,8,7,5,6]=>[6,5,7,8,4,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>11 [1,5,8,6,2,3,4,7]=>[1,5,2,8,6,3,4,7]=>[7,4,3,6,8,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [1,6,7,5,2,3,4,8]=>[1,6,2,7,5,3,4,8]=>[8,4,3,5,7,2,6,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [1,6,5,7,2,3,4,8]=>[1,6,5,2,7,3,4,8]=>[8,4,3,7,2,5,6,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [1,7,5,6,2,3,4,8]=>[1,5,2,7,6,3,4,8]=>[8,4,3,6,7,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [1,7,6,5,2,3,4,8]=>[1,2,7,6,5,3,4,8]=>[8,4,3,5,6,7,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>12 [1,3,2,7,6,4,5,8]=>[7,6,3,1,2,4,5,8]=>[8,5,4,2,1,3,6,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [1,2,3,7,6,4,5,8]=>[1,7,6,2,3,4,5,8]=>[8,5,4,3,2,6,7,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>5 [1,5,4,2,3,7,6,8]=>[1,5,4,7,2,3,6,8]=>[8,6,3,2,7,4,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [1,8,2,3,7,4,5,6]=>[1,2,8,3,4,7,5,6]=>[6,5,7,4,3,8,2,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>9 [1,5,4,2,3,8,6,7]=>[5,4,1,8,2,3,6,7]=>[7,6,3,2,8,1,4,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [1,3,2,8,6,4,5,7]=>[8,6,1,3,2,4,5,7]=>[7,5,4,2,3,1,6,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>7 [1,7,5,8,2,3,4,6]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [1,8,7,5,2,3,4,6]=>[1,2,8,3,7,5,4,6]=>[6,4,5,7,3,8,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>14 [1,7,4,2,8,3,5,6]=>[4,1,7,2,3,8,5,6]=>[6,5,8,3,2,7,1,4]=>[[1,3],[2,6],[4,8],[5],[7]]=>10 [1,7,8,5,2,3,4,6]=>[1,7,2,3,8,5,4,6]=>[6,4,5,8,3,2,7,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [2,1,5,8,6,3,7,4]=>[5,8,6,2,7,1,3,4]=>[4,3,1,7,2,6,8,5]=>[[1,4,6,7],[2,5],[3,8]]=>10 [2,5,8,4,6,1,7,3]=>[5,4,8,6,2,7,1,3]=>[3,1,7,2,6,8,4,5]=>[[1,3,5,6],[2,4,8],[7]]=>14 [2,5,3,8,6,1,7,4]=>[5,8,2,6,3,7,1,4]=>[4,1,7,3,6,2,8,5]=>[[1,3,5,7],[2,4],[6,8]]=>12 [2,6,3,5,8,1,7,4]=>[6,8,2,5,3,7,1,4]=>[4,1,7,3,5,2,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>12 [5,3,8,6,1,4,7,2]=>[5,3,8,1,6,4,7,2]=>[2,7,4,6,1,8,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>16 [8,3,5,7,2,6,4,1]=>[3,5,8,7,2,6,4,1]=>[1,4,6,2,7,8,5,3]=>[[1,2,3,5,6],[4,7],[8]]=>20 [2,4,6,8,5,3,7,1]=>[8,6,4,5,2,3,7,1]=>[1,7,3,2,5,4,6,8]=>[[1,2,5,7,8],[3,6],[4]]=>14 [4,3,6,8,5,2,7,1]=>[8,4,6,3,5,2,7,1]=>[1,7,2,5,3,6,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [3,6,8,5,4,2,7,1]=>[8,6,5,3,4,2,7,1]=>[1,7,2,4,3,5,6,8]=>[[1,2,4,6,7,8],[3],[5]]=>18 [3,6,4,8,5,2,7,1]=>[6,3,8,4,5,2,7,1]=>[1,7,2,5,4,8,3,6]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [3,6,4,1,8,2,7,5]=>[3,6,4,8,1,7,2,5]=>[5,2,7,1,8,4,6,3]=>[[1,3,5],[2,6,7],[4,8]]=>12 [3,6,4,1,5,2,8,7]=>[3,1,6,4,5,8,2,7]=>[7,2,8,5,4,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [2,8,3,5,6,7,1,4]=>[2,5,8,6,7,3,1,4]=>[4,1,3,7,6,8,5,2]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [5,6,2,4,7,1,8,3]=>[2,5,6,4,1,7,8,3]=>[3,8,7,1,4,6,5,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [2,7,5,4,6,1,8,3]=>[5,4,7,6,2,8,1,3]=>[3,1,8,2,6,7,4,5]=>[[1,3,5,6],[2,4,8],[7]]=>14 [2,6,7,4,1,3,8,5]=>[2,6,1,7,4,8,3,5]=>[5,3,8,4,7,1,6,2]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [6,5,7,4,1,3,8,2]=>[1,6,5,7,4,3,8,2]=>[2,8,3,4,7,5,6,1]=>[[1,2,4,5,7],[3],[6],[8]]=>18 [2,4,6,3,5,7,8,1]=>[6,4,2,3,5,7,8,1]=>[1,8,7,5,3,2,4,6]=>[[1,2,7,8],[3],[4],[5],[6]]=>10 [4,1,6,3,5,7,8,2]=>[6,4,1,3,5,7,8,2]=>[2,8,7,5,3,1,4,6]=>[[1,2,7,8],[3],[4],[5],[6]]=>10 [3,6,4,2,5,7,8,1]=>[3,6,4,2,5,7,8,1]=>[1,8,7,5,2,4,6,3]=>[[1,2,6,7],[3],[4],[5],[8]]=>12 [2,3,6,1,5,7,8,4]=>[2,6,3,5,7,8,1,4]=>[4,1,8,7,5,3,6,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [4,6,1,2,5,7,8,3]=>[1,4,6,2,5,7,8,3]=>[3,8,7,5,2,6,4,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [2,6,4,1,5,7,8,3]=>[4,2,6,5,7,8,1,3]=>[3,1,8,7,5,6,2,4]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [2,4,1,6,5,7,8,3]=>[4,6,2,5,7,8,1,3]=>[3,1,8,7,5,2,6,4]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [8,6,5,3,1,7,4,2]=>[1,3,6,5,8,7,4,2]=>[2,4,7,8,5,6,3,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [6,4,7,3,1,8,5,2]=>[4,1,6,3,7,8,5,2]=>[2,5,8,7,3,6,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [6,4,2,7,5,1,8,3]=>[2,4,6,1,7,5,8,3]=>[3,8,5,7,1,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [7,5,4,2,6,3,1,8]=>[2,5,4,7,6,3,1,8]=>[8,1,3,6,7,4,5,2]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [7,5,4,2,6,1,8,3]=>[2,5,4,1,7,6,8,3]=>[3,8,6,7,1,4,5,2]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [4,7,3,1,8,6,5,2]=>[1,4,7,8,6,3,5,2]=>[2,5,3,6,8,7,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [5,6,4,7,3,1,8,2]=>[5,6,4,1,7,3,8,2]=>[2,8,3,7,1,4,6,5]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [5,3,6,8,2,1,7,4]=>[3,5,6,2,8,1,7,4]=>[4,7,1,8,2,6,5,3]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [4,2,7,5,3,1,8,6]=>[4,7,2,5,3,8,1,6]=>[6,1,8,3,5,2,7,4]=>[[1,3,5,7],[2,4],[6,8]]=>12 [5,4,2,8,6,3,1,7]=>[5,4,8,2,6,3,1,7]=>[7,1,3,6,2,8,4,5]=>[[1,3,4,6],[2,7,8],[5]]=>15 [5,3,6,4,8,2,1,7]=>[3,5,6,8,4,2,1,7]=>[7,1,2,4,8,6,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [6,8,4,3,2,5,1,7]=>[4,3,2,8,6,5,1,7]=>[7,1,5,6,8,2,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>18 [7,3,2,5,4,1,8,6]=>[3,5,2,4,1,7,8,6]=>[6,8,7,1,4,2,5,3]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [4,6,3,8,7,2,1,5]=>[6,8,4,7,3,2,1,5]=>[5,1,2,3,7,4,8,6]=>[[1,3,4,5,7],[2,6,8]]=>17 [4,7,6,3,2,5,1,8]=>[7,6,4,3,2,5,1,8]=>[8,1,5,2,3,4,6,7]=>[[1,3,5,6,7,8],[2],[4]]=>16 [4,7,6,3,8,2,1,5]=>[7,6,4,8,3,2,1,5]=>[5,1,2,3,8,4,6,7]=>[[1,3,4,5,7,8],[2,6]]=>18 [4,7,3,8,6,2,1,5]=>[4,7,8,6,3,2,1,5]=>[5,1,2,3,6,8,7,4]=>[[1,3,4,5,6],[2,7],[8]]=>18 [5,7,3,2,6,4,1,8]=>[5,3,7,2,6,4,1,8]=>[8,1,4,6,2,7,3,5]=>[[1,3,4,6],[2,7,8],[5]]=>15 [2,7,5,3,1,8,6,4]=>[2,5,3,7,8,6,1,4]=>[4,1,6,8,7,3,5,2]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [3,7,5,4,2,6,1,8]=>[7,3,5,4,2,6,1,8]=>[8,1,6,2,4,5,3,7]=>[[1,3,5,6,8],[2],[4],[7]]=>14 [7,5,2,8,4,3,1,6]=>[5,7,2,4,3,1,8,6]=>[6,8,1,3,4,2,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>18 [5,2,8,7,4,3,1,6]=>[5,8,2,7,4,3,1,6]=>[6,1,3,4,7,2,8,5]=>[[1,3,4,5,7],[2,8],[6]]=>17 [4,2,7,3,1,8,6,5]=>[2,7,4,8,3,6,1,5]=>[5,1,6,3,8,4,7,2]=>[[1,3,5,7],[2,4,6],[8]]=>12 [8,4,3,2,7,5,1,6]=>[4,8,3,2,5,1,7,6]=>[6,7,1,5,2,3,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>17 [4,3,7,5,8,2,1,6]=>[7,4,8,3,5,2,1,6]=>[6,1,2,5,3,8,4,7]=>[[1,3,4,6,8],[2,7],[5]]=>15 [4,3,7,5,2,6,1,8]=>[7,4,3,5,2,6,1,8]=>[8,1,6,2,5,3,4,7]=>[[1,3,5,7,8],[2],[4],[6]]=>13 [4,5,7,3,2,6,1,8]=>[7,4,5,3,2,6,1,8]=>[8,1,6,2,3,5,4,7]=>[[1,3,5,6,8],[2],[4],[7]]=>14 [4,5,7,3,8,2,1,6]=>[7,4,5,8,3,2,1,6]=>[6,1,2,3,8,5,4,7]=>[[1,3,4,5,8],[2,6],[7]]=>16 [3,4,2,7,5,1,8,6]=>[7,3,4,2,5,8,1,6]=>[6,1,8,5,2,4,3,7]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [4,3,5,2,8,6,1,7]=>[4,8,3,5,2,6,1,7]=>[7,1,6,2,5,3,8,4]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [4,5,3,6,8,2,1,7]=>[4,5,8,3,6,2,1,7]=>[7,1,2,6,3,8,5,4]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [1,2,8,6,4,5,7,3]=>[4,6,5,8,7,1,2,3]=>[3,2,1,7,8,5,6,4]=>[[1,4,5],[2,6,7],[3,8]]=>11 [1,8,5,3,4,6,7,2]=>[3,5,4,6,8,7,1,2]=>[2,1,7,8,6,4,5,3]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [10,2,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,8,10,9,1]=>[1,9,10,8,7,6,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>17 [6,8,9,7,5,4,3,2,1]=>[8,9,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,9,8]=>[[1,2,3,4,5,6,8],[7,9]]=>32 [5,7,8,9,6,4,3,2,1]=>[7,8,9,5,6,4,3,2,1]=>[1,2,3,4,6,5,9,8,7]=>[[1,2,3,4,5,7],[6,8],[9]]=>29 [4,6,7,8,9,5,3,2,1]=>[6,7,8,9,4,5,3,2,1]=>[1,2,3,5,4,9,8,7,6]=>[[1,2,3,4,6],[5,7],[8],[9]]=>25 [3,5,6,7,8,9,4,2,1]=>[5,6,7,8,9,3,4,2,1]=>[1,2,4,3,9,8,7,6,5]=>[[1,2,3,5],[4,6],[7],[8],[9]]=>20 [7,8,4,1,6,3,5,2]=>[4,7,1,3,8,6,5,2]=>[2,5,6,8,3,1,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>20 [8,7,5,6,1,3,4,2]=>[5,1,3,8,7,6,4,2]=>[2,4,6,7,8,3,1,5]=>[[1,2,3,4,5],[6,8],[7]]=>23 [4,1,2,8,6,5,3,7]=>[8,4,6,1,2,5,3,7]=>[7,3,5,2,1,6,4,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [4,6,1,8,5,2,3,7]=>[6,4,1,8,2,5,3,7]=>[7,3,5,2,8,1,4,6]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [8,5,7,6,3,2,4,1]=>[8,5,3,2,7,6,4,1]=>[1,4,6,7,2,3,5,8]=>[[1,2,3,4,8],[5,6,7]]=>24 [6,4,1,8,7,3,2,5]=>[8,4,6,1,3,2,7,5]=>[5,7,2,3,1,6,4,8]=>[[1,2,6,8],[3,4],[5,7]]=>16 [3,7,6,1,5,8,4,2]=>[7,3,6,5,8,1,4,2]=>[2,4,1,8,5,6,3,7]=>[[1,2,4,6,8],[3,5],[7]]=>16 [3,6,5,8,2,7,4,1]=>[6,8,5,3,7,2,4,1]=>[1,4,2,7,3,5,8,6]=>[[1,2,4,6,7],[3,5,8]]=>17 [1,7,6,4,8,3,5,2]=>[4,7,6,3,8,5,1,2]=>[2,1,5,8,3,6,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>16 [7,1,6,2,3,8,4,5]=>[7,1,2,6,3,4,8,5]=>[5,8,4,3,6,2,1,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [8,7,1,6,2,5,3,4]=>[1,8,2,7,3,6,5,4]=>[4,5,6,3,7,2,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>19 [3,8,5,2,4,7,6,1]=>[3,2,8,5,7,4,6,1]=>[1,6,4,7,5,8,2,3]=>[[1,2,4,6],[3,5],[7,8]]=>16 [2,8,7,3,5,1,6,4]=>[5,2,3,8,7,6,1,4]=>[4,1,6,7,8,3,2,5]=>[[1,3,4,5],[2,6,8],[7]]=>16 [3,1,7,4,8,6,2,5]=>[7,8,3,6,1,4,2,5]=>[5,2,4,1,6,3,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>12 [8,7,1,6,3,2,4,5]=>[3,1,2,8,4,7,6,5]=>[5,6,7,4,8,2,1,3]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [7,3,2,5,8,4,1,6]=>[3,5,7,2,4,1,8,6]=>[6,8,1,4,2,7,5,3]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [4,7,2,3,8,1,6,5]=>[2,4,7,3,8,6,1,5]=>[5,1,6,8,3,7,4,2]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [8,2,3,1,6,7,5,4]=>[2,8,3,6,7,1,5,4]=>[4,5,1,7,6,3,8,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [3,7,2,5,6,4,8,1]=>[3,5,7,6,2,4,8,1]=>[1,8,4,2,6,7,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [4,2,7,5,1,6,8,3]=>[2,7,4,1,5,6,8,3]=>[3,8,6,5,1,4,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [5,8,1,6,2,3,7,4]=>[1,2,8,5,3,6,7,4]=>[4,7,6,3,5,8,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [5,1,2,8,4,7,6,3]=>[5,8,7,1,2,4,6,3]=>[3,6,4,2,1,7,8,5]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [7,1,4,8,5,6,2,3]=>[7,1,8,4,5,2,6,3]=>[3,6,2,5,4,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [5,2,6,8,4,7,1,3]=>[8,5,6,2,4,1,7,3]=>[3,7,1,4,2,6,5,8]=>[[1,2,6,8],[3,4,7],[5]]=>16 [3,6,5,8,2,7,1,4]=>[6,8,5,3,7,2,1,4]=>[4,1,2,7,3,5,8,6]=>[[1,3,4,6,7],[2,5,8]]=>16 [7,1,6,3,8,2,5,4]=>[7,6,1,3,8,2,5,4]=>[4,5,2,8,3,1,6,7]=>[[1,2,4,8],[3,5,7],[6]]=>15 [2,5,1,3,4,6,7,8,9]=>[2,1,5,3,4,6,7,8,9]=>[9,8,7,6,4,3,5,1,2]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>4 [7,4,6,1,3,2,5,8]=>[7,1,4,3,2,6,5,8]=>[8,5,6,2,3,4,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [3,7,4,5,6,2,1,8]=>[3,4,7,5,6,2,1,8]=>[8,1,2,6,5,7,4,3]=>[[1,3,4,6],[2],[5],[7],[8]]=>14 [8,1,7,5,3,6,2,4]=>[1,8,3,7,5,2,6,4]=>[4,6,2,5,7,3,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [1,8,6,3,5,7,2,4]=>[8,1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1,8]=>[[1,3,4,6,8],[2,5],[7]]=>15 [5,8,6,3,1,7,2,4]=>[1,5,3,8,6,2,7,4]=>[4,7,2,6,8,3,5,1]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [4,8,6,3,5,7,2,1]=>[8,4,3,6,5,7,2,1]=>[1,2,7,5,6,3,4,8]=>[[1,2,3,5,8],[4,7],[6]]=>20 [4,7,8,3,2,6,1,5]=>[7,4,3,8,6,2,1,5]=>[5,1,2,6,8,3,4,7]=>[[1,3,4,5,8],[2,6,7]]=>18 [5,2,6,3,1,7,8,4]=>[5,2,3,1,6,7,8,4]=>[4,8,7,6,1,3,2,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [7,2,5,6,3,1,8,4]=>[7,2,5,3,1,6,8,4]=>[4,8,6,1,3,5,2,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [4,8,6,5,1,7,2,3]=>[4,8,1,6,5,2,7,3]=>[3,7,2,5,6,1,8,4]=>[[1,2,5,7],[3,4],[6,8]]=>18 [4,3,5,1,6,7,8,2]=>[4,3,1,5,6,7,8,2]=>[2,8,7,6,5,1,3,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [5,1,4,3,6,7,8,2]=>[5,4,1,3,6,7,8,2]=>[2,8,7,6,3,1,4,5]=>[[1,2,7,8],[3],[4],[5],[6]]=>10 [3,6,7,5,1,2,8,4]=>[6,1,7,5,3,8,2,4]=>[4,2,8,3,5,7,1,6]=>[[1,3,5,6],[2,4],[7,8]]=>14 [1,7,6,8,5,2,4,3]=>[1,7,6,8,5,4,2,3]=>[3,2,4,5,8,6,7,1]=>[[1,3,4,5,7],[2,6],[8]]=>17 [5,7,6,8,1,2,4,3]=>[1,7,5,2,6,8,4,3]=>[3,4,8,6,2,5,7,1]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [7,5,4,2,8,6,3,1]=>[2,5,4,7,8,6,3,1]=>[1,3,6,8,7,4,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [3,1,5,8,7,6,4,2]=>[8,7,5,6,1,3,4,2]=>[2,4,3,1,6,5,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>14 [3,4,6,1,5,2,8,7]=>[3,4,6,1,5,8,2,7]=>[7,2,8,5,1,6,4,3]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [5,6,3,7,1,4,8,2]=>[5,3,1,6,7,4,8,2]=>[2,8,4,7,6,1,3,5]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [5,3,2,1,8,6,4,7]=>[3,2,5,8,1,6,4,7]=>[7,4,6,1,8,5,2,3]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [7,5,1,4,2,3,8,6]=>[1,5,2,4,3,7,8,6]=>[6,8,7,3,4,2,5,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [2,6,3,4,1,7,8,5]=>[2,3,6,4,7,8,1,5]=>[5,1,8,7,4,6,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [9,8,7,5,6,4,3,2,1]=>[5,9,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,9,5]=>[[1,2,3,4,5,6,7,8],[9]]=>35 [10,9,8,7,5,6,4,3,2,1]=>[5,10,9,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,9,10,5]=>[[1,2,3,4,5,6,7,8,9],[10]]=>44 [1,8,7,6,5,4,3,2,9]=>[8,7,6,5,4,3,1,2,9]=>[9,2,1,3,4,5,6,7,8]=>[[1,4,5,6,7,8,9],[2],[3]]=>21 [1,9,8,7,6,5,4,3,2,10]=>[9,8,7,6,5,4,3,1,2,10]=>[10,2,1,3,4,5,6,7,8,9]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>28 [7,8,6,1,4,5,2,3]=>[7,4,1,2,8,6,5,3]=>[3,5,6,8,2,1,4,7]=>[[1,2,3,4],[5,7,8],[6]]=>21 [7,5,1,4,6,2,8,3]=>[5,4,1,2,7,6,8,3]=>[3,8,6,7,2,1,4,5]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [7,5,8,1,4,6,2,3]=>[5,7,1,4,2,8,6,3]=>[3,6,8,2,4,1,7,5]=>[[1,2,3],[4,5,7],[6,8]]=>19 [1,8,5,4,6,7,2,3]=>[5,4,6,1,8,7,2,3]=>[3,2,7,8,1,6,4,5]=>[[1,3,4],[2,6,8],[5,7]]=>15 [6,4,3,7,8,2,1,5]=>[4,3,6,7,2,1,8,5]=>[5,8,1,2,7,6,3,4]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [6,5,8,3,7,2,1,4]=>[6,5,8,3,2,1,7,4]=>[4,7,1,2,3,8,5,6]=>[[1,2,5,6,8],[3,4,7]]=>20 [6,5,3,7,2,1,8,4]=>[3,6,5,2,1,7,8,4]=>[4,8,7,1,2,5,6,3]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [7,8,5,3,6,2,1,4]=>[3,7,5,2,1,8,6,4]=>[4,6,8,1,2,5,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>22 [7,8,5,3,6,2,4,1]=>[3,7,5,2,8,6,4,1]=>[1,4,6,8,2,5,7,3]=>[[1,2,3,4],[5,6,7],[8]]=>23 [6,4,8,3,2,7,5,1]=>[4,6,3,8,2,7,5,1]=>[1,5,7,2,8,3,6,4]=>[[1,2,3,5],[4,6,7],[8]]=>19 [1,8,4,3,2,6,7,5]=>[4,1,3,8,6,7,2,5]=>[5,2,7,6,8,3,1,4]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [7,8,4,3,2,6,1,5]=>[4,3,2,7,1,8,6,5]=>[5,6,8,1,7,2,3,4]=>[[1,2,3,8],[4,5,7],[6]]=>20 [5,4,3,8,2,1,7,6]=>[5,8,4,3,2,7,1,6]=>[6,1,7,2,3,4,8,5]=>[[1,3,5,6,7],[2,4,8]]=>15 [6,4,8,3,2,1,7,5]=>[4,6,3,2,8,1,7,5]=>[5,7,1,8,2,3,6,4]=>[[1,2,4,7],[3,5,6],[8]]=>17 [1,8,4,3,2,7,6,5]=>[1,8,4,7,3,6,2,5]=>[5,2,6,3,7,4,8,1]=>[[1,3,5,7],[2,4,6],[8]]=>12 [6,5,8,3,1,2,7,4]=>[1,6,5,3,8,2,7,4]=>[4,7,2,8,3,5,6,1]=>[[1,2,4,7],[3,5,6],[8]]=>17 [7,5,8,1,3,2,6,4]=>[5,1,3,2,7,8,6,4]=>[4,6,8,7,2,3,1,5]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [7,6,1,3,2,8,4,5]=>[3,7,1,2,6,4,8,5]=>[5,8,4,6,2,1,7,3]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [5,4,3,8,2,1,6,7]=>[5,8,4,3,2,1,6,7]=>[7,6,1,2,3,4,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>14 [1,8,4,3,2,5,7,6]=>[4,3,8,1,2,7,5,6]=>[6,5,7,2,1,8,3,4]=>[[1,3,6],[2,7,8],[4],[5]]=>10 [6,4,8,3,2,5,7,1]=>[6,4,3,2,8,5,7,1]=>[1,7,5,8,2,3,4,6]=>[[1,2,4,7,8],[3,6],[5]]=>18 [6,4,2,3,5,1,8,7]=>[2,4,3,6,5,8,1,7]=>[7,1,8,5,6,3,4,2]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [5,2,3,6,1,4,8,7]=>[2,3,5,1,6,8,4,7]=>[7,4,8,6,1,5,3,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>9 [5,2,3,8,6,4,7,1]=>[5,8,2,3,6,4,7,1]=>[1,7,4,6,3,2,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [5,2,3,7,4,8,1,6]=>[5,2,3,7,8,4,1,6]=>[6,1,4,8,7,3,2,5]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [7,2,3,4,5,8,1,6]=>[2,3,4,5,7,1,8,6]=>[6,8,1,7,5,4,3,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>12 [3,8,6,4,7,2,5,1]=>[3,6,8,7,4,2,5,1]=>[1,5,2,4,7,8,6,3]=>[[1,2,4,5,6],[3,7],[8]]=>19 [2,1,8,6,4,5,7,3]=>[2,8,4,6,5,7,1,3]=>[3,1,7,5,6,4,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [6,3,4,7,8,2,1,5]=>[3,4,6,7,2,1,8,5]=>[5,8,1,2,7,6,4,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [4,8,5,1,3,6,7,2]=>[1,4,5,3,8,6,7,2]=>[2,7,6,8,3,5,4,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [4,6,8,5,2,7,3,1]=>[8,6,4,2,5,7,3,1]=>[1,3,7,5,2,4,6,8]=>[[1,2,3,7,8],[4,6],[5]]=>19 [3,7,8,5,2,6,4,1]=>[7,5,3,8,6,2,4,1]=>[1,4,2,6,8,3,5,7]=>[[1,2,4,5,8],[3,6,7]]=>19 [8,1,5,2,3,7,6,4]=>[8,1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>13 [6,4,2,3,7,8,5,1]=>[2,4,3,6,7,8,5,1]=>[1,5,8,7,6,3,4,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [8,4,2,3,6,7,1,5]=>[4,2,8,3,6,1,7,5]=>[5,7,1,6,3,8,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [4,5,8,3,7,2,1,6]=>[4,8,5,7,3,2,1,6]=>[6,1,2,3,7,5,8,4]=>[[1,3,4,5,7],[2,6],[8]]=>17 [3,5,1,8,4,6,2,7]=>[5,8,3,1,4,6,2,7]=>[7,2,6,4,1,3,8,5]=>[[1,3,7],[2,6,8],[4],[5]]=>11 [4,1,2,6,5,8,3,7]=>[6,8,1,2,4,5,3,7]=>[7,3,5,4,2,1,8,6]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [4,6,2,7,8,3,1,5]=>[6,4,7,2,8,3,1,5]=>[5,1,3,8,2,7,4,6]=>[[1,3,4,8],[2,6],[5,7]]=>15 [4,6,1,3,8,2,5,7]=>[1,6,4,8,3,2,5,7]=>[7,5,2,3,8,4,6,1]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [4,3,6,2,1,8,7,5]=>[4,6,3,8,2,7,1,5]=>[5,1,7,2,8,3,6,4]=>[[1,3,5,7],[2,4,6],[8]]=>12 [3,7,4,5,1,6,2,8]=>[3,4,1,7,5,6,2,8]=>[8,2,6,5,7,1,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [6,1,4,5,2,8,7,3]=>[6,1,4,8,2,5,7,3]=>[3,7,5,2,8,4,1,6]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [7,2,4,5,1,6,3,8]=>[2,4,1,7,5,6,3,8]=>[8,3,6,5,7,1,4,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [1,8,7,5,3,6,4,2]=>[3,5,8,7,6,4,1,2]=>[2,1,4,6,7,8,5,3]=>[[1,3,4,5,6],[2,7],[8]]=>18 [8,3,7,4,1,6,2,5]=>[3,4,1,8,7,2,6,5]=>[5,6,2,7,8,1,4,3]=>[[1,2,4,5],[3,7],[6,8]]=>18 [7,1,4,8,6,3,2,5]=>[7,8,4,3,1,2,6,5]=>[5,6,2,1,3,4,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>16 [5,7,4,8,6,2,1,3]=>[7,5,8,4,2,1,6,3]=>[3,6,1,2,4,8,5,7]=>[[1,2,5,6,8],[3,4,7]]=>20 [5,3,6,8,2,7,1,4]=>[3,5,6,8,2,1,7,4]=>[4,7,1,2,8,6,5,3]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [6,3,7,4,8,2,1,5]=>[6,3,4,7,2,1,8,5]=>[5,8,1,2,7,4,3,6]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [5,3,6,1,4,7,2,8]=>[3,1,5,6,4,7,2,8]=>[8,2,7,4,6,5,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [4,3,6,8,2,7,1,5]=>[8,4,6,3,7,2,1,5]=>[5,1,2,7,3,6,4,8]=>[[1,3,4,6,8],[2,5],[7]]=>15 [5,3,8,4,1,6,2,7]=>[3,1,8,5,4,6,2,7]=>[7,2,6,4,5,8,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [5,8,4,1,6,3,2,7]=>[5,1,4,8,6,3,2,7]=>[7,2,3,6,8,4,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [7,3,8,4,1,6,2,5]=>[3,7,4,1,8,2,6,5]=>[5,6,2,8,1,4,7,3]=>[[1,2,4],[3,6,7],[5,8]]=>17 [1,5,8,3,6,7,4,2]=>[8,5,3,6,7,4,1,2]=>[2,1,4,7,6,3,5,8]=>[[1,3,4,8],[2,5,7],[6]]=>14 [1,8,2,5,6,7,3,4]=>[1,8,5,6,2,7,3,4]=>[4,3,7,2,6,5,8,1]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [7,8,4,1,6,5,2,3]=>[4,7,1,2,8,6,5,3]=>[3,5,6,8,2,1,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>20 [6,3,8,1,5,7,2,4]=>[6,3,8,1,5,2,7,4]=>[4,7,2,5,1,8,3,6]=>[[1,2,6],[3,4,8],[5,7]]=>16 [8,3,1,2,5,7,4,6]=>[8,1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1,8]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [2,5,8,7,4,3,6,1]=>[8,7,5,4,2,3,6,1]=>[1,6,3,2,4,5,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>17 [5,4,1,8,3,2,7,6]=>[5,4,1,8,3,7,2,6]=>[6,2,7,3,8,1,4,5]=>[[1,3,5,8],[2,4,7],[6]]=>13 [5,1,4,3,8,7,2,6]=>[5,8,4,7,1,3,2,6]=>[6,2,3,1,7,4,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>12 [5,1,7,8,3,4,2,6]=>[1,5,7,3,8,4,2,6]=>[6,2,4,8,3,7,5,1]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [5,4,1,3,8,2,7,6]=>[5,8,1,4,3,7,2,6]=>[6,2,7,3,4,1,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>12 [2,5,4,8,3,7,6,1]=>[8,5,4,7,2,3,6,1]=>[1,6,3,2,7,4,5,8]=>[[1,2,5,7,8],[3,6],[4]]=>14 [5,2,1,8,4,3,6,7]=>[2,1,5,8,4,3,6,7]=>[7,6,3,4,8,5,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [5,8,1,2,3,6,4,7]=>[1,2,3,5,8,6,4,7]=>[7,4,6,8,5,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>11 [3,7,1,8,5,4,2,6]=>[3,7,8,1,5,4,2,6]=>[6,2,4,5,1,8,7,3]=>[[1,3,4,6],[2,7],[5,8]]=>14 [5,4,2,1,3,6,8,7]=>[2,1,5,4,8,3,6,7]=>[7,6,3,8,4,5,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [2,5,3,8,4,6,7,1]=>[2,8,5,3,4,6,7,1]=>[1,7,6,4,3,5,8,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>12 [2,4,7,8,5,3,6,1]=>[7,4,8,5,2,3,6,1]=>[1,6,3,2,5,8,4,7]=>[[1,2,5,6],[3,7,8],[4]]=>15 [5,3,1,7,4,2,8,6]=>[3,1,5,7,4,8,2,6]=>[6,2,8,4,7,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [4,3,5,8,2,1,7,6]=>[8,4,3,5,2,7,1,6]=>[6,1,7,2,5,3,4,8]=>[[1,3,5,7,8],[2,4],[6]]=>13 [4,8,5,3,7,1,2,6]=>[4,5,1,8,7,3,2,6]=>[6,2,3,7,8,1,5,4]=>[[1,3,4,5],[2,7],[6,8]]=>17 [3,4,7,5,8,2,1,6]=>[3,7,8,4,5,2,1,6]=>[6,1,2,5,4,8,7,3]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [1,6,3,8,2,5,4,7]=>[6,1,3,8,5,2,4,7]=>[7,4,2,5,8,3,1,6]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [1,3,6,8,5,4,2,7]=>[8,6,5,3,4,1,2,7]=>[7,2,1,4,3,5,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>11 [1,6,3,8,4,5,2,7]=>[3,6,4,8,5,1,2,7]=>[7,2,1,5,8,4,6,3]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [1,5,2,7,4,8,3,6]=>[1,5,7,8,4,2,3,6]=>[6,3,2,4,8,7,5,1]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [1,6,3,8,2,7,4,5]=>[6,8,3,1,2,7,4,5]=>[5,4,7,2,1,3,8,6]=>[[1,3,7],[2,6,8],[4],[5]]=>11 [1,3,6,8,2,7,5,4]=>[6,8,3,7,5,1,2,4]=>[4,2,1,5,7,3,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>11 [1,8,3,4,5,6,2,7]=>[1,3,4,8,5,6,2,7]=>[7,2,6,5,8,4,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>10 [1,8,3,6,2,4,5,7]=>[8,1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [1,4,5,8,3,6,2,7]=>[4,8,5,3,6,1,2,7]=>[7,2,1,6,3,5,8,4]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [1,3,6,8,4,5,2,7]=>[3,8,6,4,5,1,2,7]=>[7,2,1,5,4,6,8,3]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [1,2,7,8,4,5,3,6]=>[7,1,4,8,5,2,3,6]=>[6,3,2,5,8,4,1,7]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [7,2,8,4,3,6,5,1]=>[7,2,4,8,3,6,5,1]=>[1,5,6,3,8,4,2,7]=>[[1,2,3,5],[4,6,8],[7]]=>18 [7,2,8,5,6,3,4,1]=>[2,7,8,5,3,6,4,1]=>[1,4,6,3,5,8,7,2]=>[[1,2,3,6],[4,5,7],[8]]=>20 [7,6,3,8,5,4,2,1]=>[7,3,6,8,5,4,2,1]=>[1,2,4,5,8,6,3,7]=>[[1,2,3,4,5,8],[6],[7]]=>23 [6,2,8,7,5,4,1,3]=>[8,6,7,5,2,1,4,3]=>[3,4,1,2,5,7,6,8]=>[[1,2,5,6,8],[3,4,7]]=>20 [6,2,8,4,3,7,1,5]=>[6,4,8,2,3,1,7,5]=>[5,7,1,3,2,8,4,6]=>[[1,2,6,8],[3,4,7],[5]]=>16 [1,5,7,3,6,2,8,4]=>[7,1,5,6,3,8,2,4]=>[4,2,8,3,6,5,1,7]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [3,6,2,7,1,5,4,8]=>[3,6,2,7,5,1,4,8]=>[8,4,1,5,7,2,6,3]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [1,2,5,4,8,3,7,6]=>[8,5,4,7,1,2,3,6]=>[6,3,2,1,7,4,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,4,3,6,8,7,2,5]=>[8,4,6,7,3,1,2,5]=>[5,2,1,3,7,6,4,8]=>[[1,4,5,8],[2,6],[3,7]]=>10 [1,6,4,5,7,8,2,3]=>[4,6,5,7,1,8,2,3]=>[3,2,8,1,7,5,6,4]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [4,2,6,5,7,8,1,3]=>[6,2,4,5,7,1,8,3]=>[3,8,1,7,5,4,2,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [6,3,2,7,4,8,5,1]=>[3,6,2,4,7,8,5,1]=>[1,5,8,7,4,2,6,3]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [3,1,8,6,4,7,2,5]=>[3,6,8,7,1,4,2,5]=>[5,2,4,1,7,8,6,3]=>[[1,3,5,6],[2,7],[4,8]]=>13 [5,3,2,8,7,6,4,1]=>[8,3,7,2,5,6,4,1]=>[1,4,6,5,2,7,3,8]=>[[1,2,3,6,8],[4,7],[5]]=>17 [5,4,2,6,7,3,1,8]=>[2,5,4,6,7,3,1,8]=>[8,1,3,7,6,4,5,2]=>[[1,3,4,7],[2],[5],[6],[8]]=>13 [5,3,8,2,7,6,1,4]=>[8,3,5,7,2,1,6,4]=>[4,6,1,2,7,5,3,8]=>[[1,2,5,8],[3,4,6],[7]]=>17 [6,3,5,7,2,4,1,8]=>[6,3,5,2,7,4,1,8]=>[8,1,4,7,2,5,3,6]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [4,8,5,1,3,7,2,6]=>[1,4,5,8,7,3,2,6]=>[6,2,3,7,8,5,4,1]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [2,6,8,5,1,4,3,7]=>[2,8,6,5,4,1,3,7]=>[7,3,1,4,5,6,8,2]=>[[1,4,5,6,7],[2,8],[3]]=>14 [4,3,8,7,2,6,5,1]=>[8,7,4,3,6,2,5,1]=>[1,5,2,6,3,4,7,8]=>[[1,2,4,6,7,8],[3,5]]=>18 [4,3,6,8,2,5,7,1]=>[8,4,6,3,2,5,7,1]=>[1,7,5,2,3,6,4,8]=>[[1,2,5,6,8],[3,7],[4]]=>15 [2,7,5,1,8,4,6,3]=>[2,5,7,4,8,6,1,3]=>[3,1,6,8,4,7,5,2]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [7,8,5,2,1,6,4,3]=>[2,7,1,5,8,6,4,3]=>[3,4,6,8,5,1,7,2]=>[[1,2,3,4],[5,7],[6,8]]=>20 [6,7,3,2,8,1,5,4]=>[3,2,6,1,7,8,5,4]=>[4,5,8,7,1,6,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [7,5,4,8,3,2,6,1]=>[5,4,7,3,2,8,6,1]=>[1,6,8,2,3,7,4,5]=>[[1,2,3,6,8],[4,5],[7]]=>21 [8,7,5,3,6,2,1,4]=>[3,5,2,1,8,7,6,4]=>[4,6,7,8,1,2,5,3]=>[[1,2,3,4],[5,6,7],[8]]=>23 [3,8,5,6,2,7,1,4]=>[5,6,3,8,7,2,1,4]=>[4,1,2,7,8,3,6,5]=>[[1,3,4,5],[2,6,7],[8]]=>17 [2,4,5,8,6,7,1,3]=>[4,8,5,6,7,2,1,3]=>[3,1,2,7,6,5,8,4]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [4,3,7,6,1,2,8,5]=>[7,4,1,6,3,8,2,5]=>[5,2,8,3,6,1,4,7]=>[[1,3,5,8],[2,4],[6,7]]=>13 [4,3,7,5,6,2,8,1]=>[7,4,3,5,6,2,8,1]=>[1,8,2,6,5,3,4,7]=>[[1,2,4,7,8],[3],[5],[6]]=>15 [4,5,1,8,6,7,3,2]=>[1,8,4,5,6,7,3,2]=>[2,3,7,6,5,4,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>15 [3,4,5,8,6,7,2,1]=>[3,8,4,5,6,7,2,1]=>[1,2,7,6,5,4,8,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>15 [2,1,5,8,6,7,4,3]=>[5,8,6,7,2,4,1,3]=>[3,1,4,2,7,6,8,5]=>[[1,3,5,7],[2,4,6],[8]]=>12 [4,7,1,5,6,2,8,3]=>[4,7,1,5,2,6,8,3]=>[3,8,6,2,5,1,7,4]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [2,6,4,7,1,3,8,5]=>[6,7,2,1,4,8,3,5]=>[5,3,8,4,1,2,7,6]=>[[1,3,7],[2,4,8],[5,6]]=>11 [5,3,8,6,4,7,2,1]=>[5,8,3,6,4,7,2,1]=>[1,2,7,4,6,3,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>19 [6,4,1,5,7,8,3,2]=>[1,6,4,5,7,8,3,2]=>[2,3,8,7,5,4,6,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>15 [3,8,4,6,1,7,2,5]=>[6,3,4,1,8,7,2,5]=>[5,2,7,8,1,4,3,6]=>[[1,3,4],[2,6,8],[5,7]]=>15 [3,8,4,5,6,7,2,1]=>[3,4,5,8,6,7,2,1]=>[1,2,7,6,8,5,4,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>17 [3,8,6,5,2,7,4,1]=>[6,5,3,8,7,2,4,1]=>[1,4,2,7,8,3,5,6]=>[[1,2,4,5,8],[3,6,7]]=>19 [5,1,4,6,7,2,8,3]=>[5,4,6,1,2,7,8,3]=>[3,8,7,2,1,6,4,5]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [6,5,4,7,1,3,8,2]=>[1,6,5,4,7,3,8,2]=>[2,8,3,7,4,5,6,1]=>[[1,2,4,6,7],[3],[5],[8]]=>17 [2,1,6,5,3,7,8,4]=>[6,5,2,7,8,1,3,4]=>[4,3,1,8,7,2,5,6]=>[[1,4,7,8],[2,5],[3,6]]=>8 [6,1,4,7,2,3,8,5]=>[4,1,6,2,3,7,8,5]=>[5,8,7,3,2,6,1,4]=>[[1,2],[3,6],[4,8],[5],[7]]=>11 [2,1,3,4,5,6,7,9,8]=>[2,9,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,9,2]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>2 [2,1,3,4,5,6,7,9,10,8]=>[2,9,10,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,10,9,2]=>[[1,8],[2,9],[3,10],[4],[5],[6],[7]]=>3 [1,3,2,4,5,6,7,9,8]=>[3,9,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,9,3]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>2 [2,1,3,4,5,6,7,8,10,9]=>[2,10,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,10,2]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>2 [4,1,2,7,5,8,3,6]=>[4,7,8,1,2,5,3,6]=>[6,3,5,2,1,8,7,4]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [6,7,2,3,8,4,5,1]=>[2,3,6,7,4,8,5,1]=>[1,5,8,4,7,6,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [6,7,2,1,3,8,4,5]=>[2,1,3,6,7,4,8,5]=>[5,8,4,7,6,3,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>13 [4,1,7,5,8,3,6,2]=>[4,7,8,5,1,3,6,2]=>[2,6,3,1,5,8,7,4]=>[[1,2,5,6],[3,7],[4,8]]=>14 [6,7,1,3,8,4,5,2]=>[1,6,7,3,4,8,5,2]=>[2,5,8,4,3,7,6,1]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [1,6,7,4,3,8,5,2]=>[6,4,3,7,8,5,1,2]=>[2,1,5,8,7,3,4,6]=>[[1,3,4,8],[2,5,7],[6]]=>14 [6,1,7,4,2,8,5,3]=>[1,6,2,7,8,4,5,3]=>[3,5,4,8,7,2,6,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [2,1,6,7,4,3,8,5]=>[6,2,7,4,8,1,3,5]=>[5,3,1,8,4,7,2,6]=>[[1,4,6],[2,5,8],[3,7]]=>9 [2,5,7,3,1,4,8,6]=>[2,7,5,3,8,1,4,6]=>[6,4,1,8,3,5,7,2]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [6,7,3,2,8,4,5,1]=>[3,2,6,7,4,8,5,1]=>[1,5,8,4,7,6,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [1,2,6,7,4,3,8,5]=>[1,6,7,4,8,2,3,5]=>[5,3,2,8,4,7,6,1]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [2,7,5,8,1,6,3,4]=>[5,2,7,1,8,6,3,4]=>[4,3,6,8,1,7,2,5]=>[[1,3,4],[2,6,8],[5,7]]=>15 [8,7,3,4,6,2,5,1]=>[8,3,4,2,7,6,5,1]=>[1,5,6,7,2,4,3,8]=>[[1,2,3,4,8],[5,6],[7]]=>22 [8,2,4,7,1,5,6,3]=>[8,2,4,1,7,5,6,3]=>[3,6,5,7,1,4,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [8,2,3,4,7,1,5,6]=>[2,8,3,4,1,5,7,6]=>[6,7,5,1,4,3,8,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [8,7,4,6,5,2,3,1]=>[8,4,2,7,6,5,3,1]=>[1,3,5,6,7,2,4,8]=>[[1,2,3,4,5,8],[6,7]]=>25 [8,4,6,7,5,1,2,3]=>[4,1,8,6,2,7,5,3]=>[3,5,7,2,6,8,1,4]=>[[1,2,3,6],[4,5],[7,8]]=>21 [8,4,6,7,5,1,3,2]=>[4,1,8,6,7,5,3,2]=>[2,3,5,7,6,8,1,4]=>[[1,2,3,4,6],[5,8],[7]]=>22 [8,7,3,6,2,1,5,4]=>[3,2,8,7,1,6,5,4]=>[4,5,6,1,7,8,2,3]=>[[1,2,3,5,6],[4,7,8]]=>21 [8,7,4,6,5,2,1,3]=>[8,4,2,1,7,6,5,3]=>[3,5,6,7,1,2,4,8]=>[[1,2,3,4,8],[5,6,7]]=>24 [8,4,3,7,6,5,1,2]=>[8,4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4,8]=>[[1,2,3,6,8],[4,5,7]]=>21 [8,5,6,7,4,1,3,2]=>[5,1,6,8,7,4,3,2]=>[2,3,4,7,8,6,1,5]=>[[1,2,3,4,5],[6,8],[7]]=>23 [8,4,2,7,5,1,6,3]=>[2,8,4,1,5,7,6,3]=>[3,6,7,5,1,4,8,2]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [8,4,7,6,5,1,2,3]=>[1,8,7,4,2,6,5,3]=>[3,5,6,2,4,7,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>22 [8,3,5,2,7,4,6,1]=>[5,8,3,2,4,7,6,1]=>[1,6,7,4,2,3,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>18 [8,5,2,6,7,4,1,3]=>[2,5,8,6,1,7,4,3]=>[3,4,7,1,6,8,5,2]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [8,6,2,5,7,3,1,4]=>[6,5,2,3,1,8,7,4]=>[4,7,8,1,3,2,5,6]=>[[1,2,3,8],[4,5,7],[6]]=>20 [8,6,2,4,7,3,1,5]=>[4,6,2,3,1,8,7,5]=>[5,7,8,1,3,2,6,4]=>[[1,2,3],[4,5,7],[6,8]]=>19 [8,5,2,3,7,4,1,6]=>[5,2,3,8,4,1,7,6]=>[6,7,1,4,8,3,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>17 [8,6,1,5,4,3,2,7]=>[6,5,4,1,3,2,8,7]=>[7,8,2,3,1,4,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>18 [2,7,4,6,1,5,8,3]=>[7,4,2,6,5,8,1,3]=>[3,1,8,5,6,2,4,7]=>[[1,3,5,8],[2,4,7],[6]]=>13 [2,6,3,7,1,8,5,4]=>[6,2,3,7,8,5,1,4]=>[4,1,5,8,7,3,2,6]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [2,5,3,4,8,1,6,7]=>[5,2,8,3,4,1,6,7]=>[7,6,1,4,3,8,2,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [2,3,8,4,5,1,6,7]=>[2,3,4,8,5,1,6,7]=>[7,6,1,5,8,4,3,2]=>[[1,4,5],[2],[3],[6],[7],[8]]=>9 [8,7,3,1,5,4,6,2]=>[5,1,3,4,8,7,6,2]=>[2,6,7,8,4,3,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [7,8,3,2,5,4,6,1]=>[3,7,2,5,4,8,6,1]=>[1,6,8,4,5,2,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>19 [6,2,5,4,8,3,1,7]=>[6,5,8,2,4,3,1,7]=>[7,1,3,4,2,8,5,6]=>[[1,3,4,6,8],[2,7],[5]]=>15 [1,6,5,4,8,3,2,7]=>[6,5,8,4,3,1,2,7]=>[7,2,1,3,4,8,5,6]=>[[1,4,5,6,8],[2,7],[3]]=>13 [1,6,4,8,5,3,2,7]=>[6,4,8,5,3,1,2,7]=>[7,2,1,3,5,8,4,6]=>[[1,4,5,6],[2,7,8],[3]]=>13 [6,3,1,7,4,5,8,2]=>[6,1,3,4,7,5,8,2]=>[2,8,5,7,4,3,1,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [7,2,3,5,8,4,6,1]=>[5,7,2,3,4,8,6,1]=>[1,6,8,4,3,2,7,5]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [4,8,3,1,2,5,6,7]=>[1,4,3,2,5,8,6,7]=>[7,6,8,5,2,3,4,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [4,8,1,3,2,5,6,7]=>[4,1,3,2,5,8,6,7]=>[7,6,8,5,2,3,1,4]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [6,5,4,8,2,3,1,7]=>[6,5,2,8,4,3,1,7]=>[7,1,3,4,8,2,5,6]=>[[1,3,4,5,8],[2,7],[6]]=>18 [7,5,8,3,2,4,6,1]=>[5,3,2,7,4,8,6,1]=>[1,6,8,4,7,2,3,5]=>[[1,2,3,8],[4,5],[6,7]]=>20 [8,7,5,1,3,4,6,2]=>[1,5,3,4,8,7,6,2]=>[2,6,7,8,4,3,5,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [8,7,2,1,4,6,5,3]=>[2,8,7,1,4,6,5,3]=>[3,5,6,4,1,7,8,2]=>[[1,2,3,6,7],[4,8],[5]]=>18 [4,1,5,3,8,6,2,7]=>[8,4,5,1,3,6,2,7]=>[7,2,6,3,1,5,4,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [4,6,5,1,8,3,2,7]=>[6,4,1,5,8,3,2,7]=>[7,2,3,8,5,1,4,6]=>[[1,3,4,8],[2,5],[6,7]]=>14 [2,7,3,6,4,8,5,1]=>[2,7,3,6,8,4,5,1]=>[1,5,4,8,6,3,7,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [3,7,1,5,8,4,6,2]=>[3,7,8,5,1,4,6,2]=>[2,6,4,1,5,8,7,3]=>[[1,2,5,6],[3,7],[4,8]]=>14 [3,8,1,4,2,5,6,7]=>[1,3,4,2,5,8,6,7]=>[7,6,8,5,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>9 [2,1,8,4,3,5,6,7]=>[2,4,1,3,8,5,6,7]=>[7,6,5,8,3,1,4,2]=>[[1,4],[2,7],[3,8],[5],[6]]=>7 [3,2,7,6,4,8,5,1]=>[7,6,3,8,2,4,5,1]=>[1,5,4,2,8,3,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>14 [3,1,6,7,4,5,8,2]=>[6,1,7,3,4,5,8,2]=>[2,8,5,4,3,7,1,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [1,3,7,6,4,8,5,2]=>[3,7,6,8,4,5,1,2]=>[2,1,5,4,8,6,7,3]=>[[1,3,5,7],[2,4,6],[8]]=>12 [3,1,8,7,6,4,2,5]=>[3,8,7,6,1,4,2,5]=>[5,2,4,1,6,7,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>15 [4,8,1,6,5,3,2,7]=>[8,1,6,4,5,3,2,7]=>[7,2,3,5,4,6,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>15 [5,4,1,7,6,3,2,8]=>[5,7,1,4,6,3,2,8]=>[8,2,3,6,4,1,7,5]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [8,5,6,1,4,3,2,7]=>[5,6,1,4,3,2,8,7]=>[7,8,2,3,4,1,6,5]=>[[1,2,5,7],[3,4],[6,8]]=>18 [8,5,7,1,4,3,2,6]=>[8,5,1,4,3,2,7,6]=>[6,7,2,3,4,1,5,8]=>[[1,2,5,7,8],[3,4],[6]]=>19 [6,7,5,1,4,3,2,8]=>[6,7,1,5,4,3,2,8]=>[8,2,3,4,5,1,7,6]=>[[1,3,4,5,7],[2,8],[6]]=>17 [8,7,5,1,4,3,2,6]=>[5,4,1,3,2,8,7,6]=>[6,7,8,2,3,1,4,5]=>[[1,2,3,8],[4,5,7],[6]]=>20 [8,6,5,1,4,3,2,7]=>[6,5,1,4,3,2,8,7]=>[7,8,2,3,4,1,5,6]=>[[1,2,5,7,8],[3,4],[6]]=>19 [3,1,6,7,8,5,4,2]=>[6,7,8,5,1,3,4,2]=>[2,4,3,1,5,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>14 [1,8,6,3,4,2,5,7]=>[1,8,3,4,2,6,5,7]=>[7,5,6,2,4,3,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [3,1,6,4,5,2,7,8]=>[1,6,3,4,5,2,7,8]=>[8,7,2,5,4,3,6,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>7 [3,1,6,4,5,8,2,7]=>[1,6,8,3,4,5,2,7]=>[7,2,5,4,3,8,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [3,1,6,4,5,7,2,8]=>[1,6,3,4,5,7,2,8]=>[8,2,7,5,4,3,6,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>8 [8,1,6,3,4,7,5,2]=>[1,3,6,8,7,4,5,2]=>[2,5,4,7,8,6,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [4,6,7,3,2,1,8,5]=>[6,7,4,3,2,8,1,5]=>[5,1,8,2,3,4,7,6]=>[[1,3,5,6,7],[2,4],[8]]=>15 [4,6,8,7,2,5,1,3]=>[8,6,4,7,2,1,5,3]=>[3,5,1,2,7,4,6,8]=>[[1,2,5,7,8],[3,4,6]]=>19 [4,6,8,3,5,2,1,7]=>[8,6,4,3,5,2,1,7]=>[7,1,2,5,3,4,6,8]=>[[1,3,4,6,7,8],[2],[5]]=>17 [5,6,3,7,4,2,8,1]=>[5,3,6,7,4,2,8,1]=>[1,8,2,4,7,6,3,5]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [6,2,3,1,7,5,8,4]=>[2,3,6,7,1,5,8,4]=>[4,8,5,1,7,6,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [7,6,3,1,4,8,5,2]=>[1,3,4,7,6,8,5,2]=>[2,5,8,6,7,4,3,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>17 [7,1,6,3,4,5,8,2]=>[1,3,7,6,4,5,8,2]=>[2,8,5,4,6,7,3,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>14 [7,6,3,8,4,5,2,1]=>[7,3,6,4,8,5,2,1]=>[1,2,5,8,4,6,3,7]=>[[1,2,3,4,8],[5,6],[7]]=>22 [5,2,1,4,7,6,8,3]=>[2,5,7,1,4,6,8,3]=>[3,8,6,4,1,7,5,2]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [8,2,7,6,1,4,3,5]=>[2,8,1,7,4,3,6,5]=>[5,6,3,4,7,1,8,2]=>[[1,2,5,7],[3,4],[6,8]]=>18 [5,2,7,8,1,4,3,6]=>[5,2,1,7,8,4,3,6]=>[6,3,4,8,7,1,2,5]=>[[1,3,4],[2,5,8],[6,7]]=>14 [5,6,3,8,4,1,2,7]=>[5,6,3,1,8,4,2,7]=>[7,2,4,8,1,3,6,5]=>[[1,3,4],[2,6,7],[5,8]]=>16 [5,2,3,4,8,1,7,6]=>[5,2,3,8,4,7,1,6]=>[6,1,7,4,8,3,2,5]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [5,2,3,7,1,6,8,4]=>[2,3,5,7,1,6,8,4]=>[4,8,6,1,7,5,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [5,2,3,4,7,8,1,6]=>[2,3,5,7,8,4,1,6]=>[6,1,4,8,7,5,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [8,7,5,3,1,6,4,2]=>[1,3,5,8,7,6,4,2]=>[2,4,6,7,8,5,3,1]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [1,4,7,8,5,2,3,6]=>[7,4,1,8,5,2,3,6]=>[6,3,2,5,8,1,4,7]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [3,2,6,7,4,1,5,8]=>[6,7,3,2,4,1,5,8]=>[8,5,1,4,2,3,7,6]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [7,6,3,5,2,1,4,8]=>[7,3,2,1,6,5,4,8]=>[8,4,5,6,1,2,3,7]=>[[1,3,4,8],[2,6,7],[5]]=>17 [4,6,3,2,5,8,1,7]=>[6,4,3,8,2,5,1,7]=>[7,1,5,2,8,3,4,6]=>[[1,3,5,7,8],[2,6],[4]]=>13 [2,6,8,7,4,1,3,5]=>[6,8,2,1,7,4,3,5]=>[5,3,4,7,1,2,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>16 [5,8,3,7,6,4,1,2]=>[8,5,7,3,1,6,4,2]=>[2,4,6,1,3,7,5,8]=>[[1,2,3,6,8],[4,5,7]]=>21 [8,1,2,7,5,4,3,6]=>[8,5,1,4,2,3,7,6]=>[6,7,3,2,4,1,5,8]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [6,5,1,8,3,7,2,4]=>[6,5,8,1,3,2,7,4]=>[4,7,2,3,1,8,5,6]=>[[1,2,6,8],[3,4,7],[5]]=>16 [8,1,5,3,2,6,4,7]=>[5,1,3,6,2,4,8,7]=>[7,8,4,2,6,3,1,5]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [7,6,1,5,4,3,2,8]=>[7,6,5,1,4,3,2,8]=>[8,2,3,4,1,5,6,7]=>[[1,3,4,6,7,8],[2],[5]]=>17 [5,3,1,7,4,6,2,8]=>[5,1,3,7,4,6,2,8]=>[8,2,6,4,7,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [1,8,7,5,3,2,6,4]=>[5,1,3,8,7,6,2,4]=>[4,2,6,7,8,3,1,5]=>[[1,3,4,5],[2,6,8],[7]]=>16 [5,1,7,6,3,2,8,4]=>[7,5,3,1,2,6,8,4]=>[4,8,6,2,1,3,5,7]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [2,1,8,4,5,6,3,7]=>[2,4,5,8,6,1,3,7]=>[7,3,1,6,8,5,4,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [7,2,1,4,5,3,8,6]=>[2,4,5,1,3,7,8,6]=>[6,8,7,3,1,5,4,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>10 [4,2,5,6,1,3,7,8]=>[2,4,5,1,6,3,7,8]=>[8,7,3,6,1,5,4,2]=>[[1,4],[2,6],[3],[5],[7],[8]]=>8 [6,8,1,7,5,4,2,3]=>[8,6,1,7,2,5,4,3]=>[3,4,5,2,7,1,6,8]=>[[1,2,3,5,8],[4,7],[6]]=>20 [7,6,3,1,2,8,5,4]=>[1,3,7,2,6,8,5,4]=>[4,5,8,6,2,7,3,1]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [6,7,5,2,4,1,3,8]=>[2,6,1,7,5,4,3,8]=>[8,3,4,5,7,1,6,2]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [5,7,6,1,3,4,8,2]=>[5,1,7,3,6,4,8,2]=>[2,8,4,6,3,7,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [1,7,5,2,6,4,8,3]=>[1,7,5,6,4,8,2,3]=>[3,2,8,4,6,5,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [7,1,3,6,8,2,4,5]=>[7,6,3,1,2,4,8,5]=>[5,8,4,2,1,3,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [3,1,2,7,5,4,8,6]=>[3,7,1,5,8,2,4,6]=>[6,4,2,8,5,1,7,3]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [1,6,3,5,7,8,2,4]=>[6,5,7,8,1,3,2,4]=>[4,2,3,1,8,7,5,6]=>[[1,3,5,8],[2,6],[4,7]]=>11 [8,6,1,7,5,2,4,3]=>[1,6,8,7,2,5,4,3]=>[3,4,5,2,7,8,6,1]=>[[1,2,3,5,6],[4,7],[8]]=>20 [8,4,1,6,5,2,7,3]=>[6,4,1,2,5,8,7,3]=>[3,7,8,5,2,1,4,6]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [5,4,1,6,7,8,2,3]=>[5,1,4,6,7,2,8,3]=>[3,8,2,7,6,4,1,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [5,1,4,6,7,8,2,3]=>[5,4,6,7,1,2,8,3]=>[3,8,2,1,7,6,4,5]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [8,1,4,6,5,2,7,3]=>[8,4,1,2,6,5,7,3]=>[3,7,5,6,2,1,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [7,1,5,4,6,3,2,8]=>[5,4,7,6,1,3,2,8]=>[8,2,3,1,6,7,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>14 [1,2,4,7,6,3,8,5]=>[7,6,4,8,1,2,3,5]=>[5,3,2,1,8,4,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,2,8,7,4,3,6,5]=>[1,8,4,7,6,2,3,5]=>[5,3,2,6,7,4,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [3,2,1,7,5,8,4,6]=>[7,3,8,2,5,1,4,6]=>[6,4,1,5,2,8,3,7]=>[[1,4,6,8],[2,5,7],[3]]=>9 [4,5,1,3,7,8,2,6]=>[1,4,5,7,8,3,2,6]=>[6,2,3,8,7,5,4,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [5,2,3,1,7,8,4,6]=>[2,3,5,7,1,8,4,6]=>[6,4,8,1,7,5,3,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>10 [7,5,4,6,1,3,2,8]=>[1,5,4,7,6,3,2,8]=>[8,2,3,6,7,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [1,5,6,3,7,8,2,4]=>[1,5,6,7,8,3,2,4]=>[4,2,3,8,7,6,5,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [7,1,2,3,4,5,8,9,10,6]=>[1,2,3,4,5,7,8,9,10,6]=>[6,10,9,8,7,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>9 [6,1,2,3,4,7,8,9,10,5]=>[1,2,3,4,6,7,8,9,10,5]=>[5,10,9,8,7,6,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>9 [5,1,2,3,6,7,8,9,10,4]=>[1,2,3,5,6,7,8,9,10,4]=>[4,10,9,8,7,6,5,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>9 [6,8,3,5,7,2,4,1]=>[6,3,8,5,2,7,4,1]=>[1,4,7,2,5,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>21 [8,6,5,7,2,1,4,3]=>[2,1,6,5,8,7,4,3]=>[3,4,7,8,5,6,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>22 [1,6,3,8,4,5,7,2]=>[3,6,4,8,5,7,1,2]=>[2,1,7,5,8,4,6,3]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [7,5,4,2,6,3,8,1]=>[2,5,4,7,6,3,8,1]=>[1,8,3,6,7,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [7,1,4,3,2,8,6,5]=>[4,3,7,8,1,2,6,5]=>[5,6,2,1,8,7,3,4]=>[[1,2,5],[3,6,8],[4,7]]=>12 [2,4,3,5,6,7,8,9,1]=>[4,2,3,5,6,7,8,9,1]=>[1,9,8,7,6,5,3,2,4]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>9 [3,7,4,6,2,5,8,1]=>[7,3,6,4,2,5,8,1]=>[1,8,5,2,4,6,3,7]=>[[1,2,5,6,8],[3],[4],[7]]=>15 [4,3,7,8,6,2,5,1]=>[7,8,4,6,3,2,5,1]=>[1,5,2,3,6,4,8,7]=>[[1,2,4,5,7],[3,6,8]]=>18 [3,8,1,7,5,2,4,6]=>[3,1,8,7,2,5,4,6]=>[6,4,5,2,7,8,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [8,2,3,4,7,5,6,1]=>[2,8,3,4,5,7,6,1]=>[1,6,7,5,4,3,8,2]=>[[1,2,3,7],[4],[5],[6],[8]]=>15 [2,6,7,3,8,5,1,4]=>[2,6,7,8,5,3,1,4]=>[4,1,3,5,8,7,6,2]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [2,4,8,5,1,7,3,6]=>[4,5,8,7,2,1,3,6]=>[6,3,1,2,7,8,5,4]=>[[1,4,5,6],[2,7],[3,8]]=>12 [2,8,3,5,1,6,4,7]=>[2,8,3,1,5,6,4,7]=>[7,4,6,5,1,3,8,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [2,8,3,5,1,4,6,7]=>[5,2,3,1,4,8,6,7]=>[7,6,8,4,1,3,2,5]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [3,6,5,7,8,1,2,4]=>[6,5,7,1,8,3,2,4]=>[4,2,3,8,1,7,5,6]=>[[1,3,4,8],[2,6],[5,7]]=>15 [4,8,3,2,5,1,6,7]=>[4,3,2,5,1,8,6,7]=>[7,6,8,1,5,2,3,4]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [5,7,4,2,8,6,3,1]=>[2,7,5,8,4,6,3,1]=>[1,3,6,4,8,5,7,2]=>[[1,2,3,5,7],[4,6],[8]]=>19 [4,3,7,8,2,5,6,1]=>[7,8,4,3,2,5,6,1]=>[1,6,5,2,3,4,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>16 [8,5,3,4,7,2,6,1]=>[3,5,8,4,2,7,6,1]=>[1,6,7,2,4,8,5,3]=>[[1,2,3,6],[4,5,7],[8]]=>20 [1,4,6,2,7,5,3,8]=>[4,6,7,1,5,2,3,8]=>[8,3,2,5,1,7,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [1,7,4,6,8,3,5,2]=>[7,4,6,3,8,5,1,2]=>[2,1,5,8,3,6,4,7]=>[[1,3,4,8],[2,5,6],[7]]=>15 [7,2,4,1,5,8,6,3]=>[2,1,4,7,8,5,6,3]=>[3,6,5,8,7,4,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [7,8,2,1,5,4,6,3]=>[7,2,5,1,4,8,6,3]=>[3,6,8,4,1,5,2,7]=>[[1,2,3,8],[4,6],[5,7]]=>17 [1,4,2,8,6,5,3,7]=>[8,4,6,1,5,2,3,7]=>[7,3,2,5,1,6,4,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [1,4,8,5,2,6,3,7]=>[4,1,5,8,6,2,3,7]=>[7,3,2,6,8,5,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [1,5,2,4,6,3,8,7]=>[5,1,4,6,8,2,3,7]=>[7,3,2,8,6,4,1,5]=>[[1,4,8],[2,5],[3,6],[7]]=>6 [6,4,1,3,2,5,8,7]=>[4,1,3,2,6,8,5,7]=>[7,5,8,6,2,3,1,4]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [5,2,3,7,8,1,6,4]=>[7,2,3,5,8,1,6,4]=>[4,6,1,8,5,3,2,7]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [7,6,3,4,2,8,1,5]=>[3,4,2,7,6,1,8,5]=>[5,8,1,6,7,2,4,3]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [8,5,3,6,7,2,1,4]=>[3,5,6,2,1,8,7,4]=>[4,7,8,1,2,6,5,3]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [1,2,7,5,3,4,6,8]=>[1,7,2,5,3,4,6,8]=>[8,6,4,3,5,2,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>6 [1,7,3,2,6,8,4,5]=>[7,3,6,1,2,8,4,5]=>[5,4,8,2,1,6,3,7]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [8,2,7,1,4,3,5,6]=>[2,4,1,3,8,5,7,6]=>[6,7,5,8,3,1,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [6,7,2,5,3,1,8,4]=>[6,2,3,1,7,5,8,4]=>[4,8,5,7,1,3,2,6]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [3,7,2,5,4,1,8,6]=>[3,7,2,5,4,8,1,6]=>[6,1,8,4,5,2,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>12 [2,6,4,7,5,1,8,3]=>[4,6,7,5,2,8,1,3]=>[3,1,8,2,5,7,6,4]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [3,4,7,6,5,1,8,2]=>[7,6,3,4,1,5,8,2]=>[2,8,5,1,4,3,6,7]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [3,4,7,6,2,8,5,1]=>[7,6,3,4,8,2,5,1]=>[1,5,2,8,4,3,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>15 [4,7,8,1,6,5,3,2]=>[7,8,4,6,1,5,3,2]=>[2,3,5,1,6,4,8,7]=>[[1,2,3,5,7],[4,6,8]]=>19 [1,6,4,7,2,8,5,3]=>[4,1,6,7,8,5,2,3]=>[3,2,5,8,7,6,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [1,4,7,6,3,8,5,2]=>[7,6,4,8,3,5,1,2]=>[2,1,5,3,8,4,6,7]=>[[1,3,5,7,8],[2,4,6]]=>13 [1,8,4,2,7,6,3,5]=>[8,7,1,4,2,6,3,5]=>[5,3,6,2,4,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [8,7,2,6,5,4,3,1]=>[8,7,6,2,5,4,3,1]=>[1,3,4,5,2,6,7,8]=>[[1,2,3,4,6,7,8],[5]]=>24 [8,2,1,6,5,4,3,7]=>[6,5,2,4,1,3,8,7]=>[7,8,3,1,4,2,5,6]=>[[1,2,7,8],[3,5],[4,6]]=>14 [7,4,2,8,1,6,3,5]=>[4,2,7,1,8,3,6,5]=>[5,6,3,8,1,7,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>16 [8,3,7,1,5,4,2,6]=>[8,1,3,5,4,2,7,6]=>[6,7,2,4,5,3,1,8]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [7,3,8,1,6,5,4,2]=>[7,8,3,6,1,5,4,2]=>[2,4,5,1,6,3,8,7]=>[[1,2,3,5,7],[4,6,8]]=>19 [7,3,8,2,6,5,4,1]=>[3,7,8,6,2,5,4,1]=>[1,4,5,2,6,8,7,3]=>[[1,2,3,5,6],[4,7],[8]]=>20 [4,6,5,3,1,7,2,8]=>[6,4,1,5,3,7,2,8]=>[8,2,7,3,5,1,4,6]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [5,3,6,1,2,8,7,4]=>[3,1,5,8,2,6,7,4]=>[4,7,6,2,8,5,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [4,6,2,3,8,7,5,1]=>[2,6,8,4,7,3,5,1]=>[1,5,3,7,4,8,6,2]=>[[1,2,4,6],[3,5,7],[8]]=>15 [8,1,6,2,7,5,4,3]=>[6,8,7,1,5,2,4,3]=>[3,4,2,5,1,7,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>17 [5,2,1,7,3,8,6,4]=>[2,5,7,8,1,3,6,4]=>[4,6,3,1,8,7,5,2]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [7,1,3,8,6,5,4,2]=>[7,8,6,1,5,3,4,2]=>[2,4,3,5,1,6,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>17 [7,2,3,8,6,5,4,1]=>[7,8,6,2,3,5,4,1]=>[1,4,5,3,2,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>18 [8,1,3,7,6,5,4,2]=>[8,7,6,1,5,3,4,2]=>[2,4,3,5,1,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>18 [1,3,7,4,8,6,5,2]=>[7,8,3,6,4,5,1,2]=>[2,1,5,4,6,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>12 [2,4,1,8,7,3,6,5]=>[8,7,4,2,6,1,3,5]=>[5,3,1,6,2,4,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>11 [2,8,6,1,5,4,3,7]=>[8,2,6,5,1,4,3,7]=>[7,3,4,1,5,6,2,8]=>[[1,3,5,6,8],[2,7],[4]]=>14 [2,6,1,5,8,4,3,7]=>[6,8,2,5,4,1,3,7]=>[7,3,1,4,5,2,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>11 [8,4,6,1,5,3,2,7]=>[6,1,4,5,3,2,8,7]=>[7,8,2,3,5,4,1,6]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [7,3,8,6,1,5,4,2]=>[3,7,8,6,1,5,4,2]=>[2,4,5,1,6,8,7,3]=>[[1,2,3,5,6],[4,7],[8]]=>20 [3,5,1,7,8,2,6,4]=>[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>12 [7,8,4,6,1,5,3,2]=>[1,4,7,8,6,5,3,2]=>[2,3,5,6,8,7,4,1]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [4,6,1,5,3,2,7,8]=>[6,1,4,5,3,2,7,8]=>[8,7,2,3,5,4,1,6]=>[[1,4,5,8],[2],[3],[6],[7]]=>10 [5,4,7,8,2,1,6,3]=>[5,7,4,2,8,1,6,3]=>[3,6,1,8,2,4,7,5]=>[[1,2,4,7],[3,5,6],[8]]=>17 [5,4,6,8,3,2,1,7]=>[5,8,4,6,3,2,1,7]=>[7,1,2,3,6,4,8,5]=>[[1,3,4,5,7],[2,8],[6]]=>17 [6,4,5,8,3,2,1,7]=>[4,6,8,5,3,2,1,7]=>[7,1,2,3,5,8,6,4]=>[[1,3,4,5,6],[2,7],[8]]=>18 [7,4,5,8,2,1,6,3]=>[4,5,2,1,7,8,6,3]=>[3,6,8,7,1,2,5,4]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [7,4,6,8,1,5,3,2]=>[4,7,1,6,8,5,3,2]=>[2,3,5,8,6,1,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>20 [5,3,6,1,8,4,2,7]=>[3,5,1,6,8,4,2,7]=>[7,2,4,8,6,1,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [6,3,8,7,1,5,4,2]=>[6,8,3,7,1,5,4,2]=>[2,4,5,1,7,3,8,6]=>[[1,2,3,5,7],[4,6,8]]=>19 [8,6,4,7,1,5,3,2]=>[1,4,6,8,7,5,3,2]=>[2,3,5,7,8,6,4,1]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [6,4,7,1,5,3,2,8]=>[1,4,6,7,5,3,2,8]=>[8,2,3,5,7,6,4,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>15 [5,4,7,2,1,6,3,8]=>[5,4,2,7,1,6,3,8]=>[8,3,6,1,7,2,4,5]=>[[1,3,5,8],[2,6,7],[4]]=>13 [8,4,5,7,2,1,6,3]=>[4,5,2,8,1,7,6,3]=>[3,6,7,1,8,2,5,4]=>[[1,2,3,5],[4,6,7],[8]]=>19 [4,6,7,1,5,3,2,8]=>[4,6,7,1,5,3,2,8]=>[8,2,3,5,1,7,6,4]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [5,6,4,8,3,2,1,7]=>[5,6,8,4,3,2,1,7]=>[7,1,2,3,4,8,6,5]=>[[1,3,4,5,6],[2,7],[8]]=>18 [5,7,4,8,2,1,6,3]=>[7,5,4,2,8,1,6,3]=>[3,6,1,8,2,4,5,7]=>[[1,2,4,7,8],[3,5,6]]=>18 [5,7,4,2,6,3,8,1]=>[2,7,5,4,6,3,8,1]=>[1,8,3,6,4,5,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>17 [5,7,4,1,6,2,8,3]=>[7,1,5,4,2,6,8,3]=>[3,8,6,2,4,5,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [7,8,3,1,5,2,6,4]=>[3,1,7,2,5,8,6,4]=>[4,6,8,5,2,7,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [8,3,4,1,7,5,2,6]=>[3,4,8,1,5,2,7,6]=>[6,7,2,5,1,8,4,3]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [8,5,6,1,7,3,2,4]=>[5,6,1,3,2,8,7,4]=>[4,7,8,2,3,1,6,5]=>[[1,2,3],[4,5,7],[6,8]]=>19 [4,5,1,6,7,8,3,2]=>[1,4,5,6,7,8,3,2]=>[2,3,8,7,6,5,4,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>13 [5,6,8,2,1,7,3,4]=>[5,2,6,1,8,3,7,4]=>[4,7,3,8,1,6,2,5]=>[[1,2,4],[3,6,8],[5,7]]=>16 [4,5,2,6,1,3,8,7]=>[4,2,5,1,6,8,3,7]=>[7,3,8,6,1,5,2,4]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [5,1,6,8,2,7,3,4]=>[5,6,1,8,2,3,7,4]=>[4,7,3,2,8,1,6,5]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [5,2,6,3,4,7,8,1]=>[5,2,3,6,4,7,8,1]=>[1,8,7,4,6,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [4,6,2,3,5,7,8,1]=>[2,6,4,3,5,7,8,1]=>[1,8,7,5,3,4,6,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>12 [8,2,3,7,1,5,4,6]=>[2,3,8,5,1,4,7,6]=>[6,7,4,1,5,8,3,2]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [2,8,6,7,3,1,4,5]=>[2,6,3,1,8,7,4,5]=>[5,4,7,8,1,3,6,2]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [8,4,6,7,2,5,1,3]=>[4,2,8,6,1,7,5,3]=>[3,5,7,1,6,8,2,4]=>[[1,2,3,6],[4,5,8],[7]]=>21 [7,1,4,6,8,3,5,2]=>[7,6,8,1,4,3,5,2]=>[2,5,3,4,1,8,6,7]=>[[1,2,4,6,8],[3,7],[5]]=>16 [1,6,3,4,7,8,5,2]=>[3,4,6,7,8,5,1,2]=>[2,1,5,8,7,6,4,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [2,5,3,7,4,6,8,1]=>[5,2,7,3,4,6,8,1]=>[1,8,6,4,3,7,2,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [7,4,8,1,3,5,6,2]=>[4,1,7,3,5,8,6,2]=>[2,6,8,5,3,7,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [7,8,1,3,4,5,6,2]=>[1,3,7,4,5,8,6,2]=>[2,6,8,5,4,7,3,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [1,8,2,6,7,3,4,5]=>[1,8,2,6,3,7,4,5]=>[5,4,7,3,6,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [4,7,3,2,8,1,5,6]=>[4,3,7,2,1,8,5,6]=>[6,5,8,1,2,7,3,4]=>[[1,3,6,8],[2,5],[4,7]]=>14 [5,1,4,6,2,3,8,7]=>[5,4,1,2,6,8,3,7]=>[7,3,8,6,2,1,4,5]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [7,1,2,5,6,8,3,4]=>[5,7,6,1,2,3,8,4]=>[4,8,3,2,1,6,7,5]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [7,1,2,6,3,8,5,4]=>[7,1,6,8,2,3,5,4]=>[4,5,3,2,8,6,1,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [4,8,7,3,1,6,2,5]=>[4,3,1,8,7,6,2,5]=>[5,2,6,7,8,1,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>18 [4,7,8,3,1,6,2,5]=>[7,4,3,1,8,6,2,5]=>[5,2,6,8,1,3,4,7]=>[[1,3,4,8],[2,6,7],[5]]=>17 [8,4,3,1,6,2,7,5]=>[4,1,8,3,2,6,7,5]=>[5,7,6,2,3,8,1,4]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [7,4,3,1,8,6,2,5]=>[4,3,7,1,8,2,6,5]=>[5,6,2,8,1,7,3,4]=>[[1,2,4],[3,6,8],[5,7]]=>16 [4,3,7,2,8,6,1,5]=>[7,4,8,3,6,2,1,5]=>[5,1,2,6,3,8,4,7]=>[[1,3,4,6,8],[2,5,7]]=>15 [6,1,2,7,4,3,8,5]=>[6,4,1,2,3,7,8,5]=>[5,8,7,3,2,1,4,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [5,1,2,7,3,8,6,4]=>[5,7,8,1,2,3,6,4]=>[4,6,3,2,1,8,7,5]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [6,1,2,7,3,5,8,4]=>[1,6,7,2,3,5,8,4]=>[4,8,5,3,2,7,6,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [8,3,6,2,1,7,4,5]=>[3,2,8,1,6,4,7,5]=>[5,7,4,6,1,8,2,3]=>[[1,2,6],[3,4,8],[5,7]]=>16 [7,3,6,2,1,8,4,5]=>[3,2,7,6,1,4,8,5]=>[5,8,4,1,6,7,2,3]=>[[1,2,6],[3,5,8],[4,7]]=>15 [6,1,2,8,3,5,7,4]=>[6,1,8,2,3,5,7,4]=>[4,7,5,3,2,8,1,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [7,5,3,2,1,8,6,4]=>[3,2,1,5,7,8,6,4]=>[4,6,8,7,5,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [4,2,1,5,3,6,7,8]=>[2,1,4,5,3,6,7,8]=>[8,7,6,3,5,4,1,2]=>[[1,5],[2,8],[3],[4],[6],[7]]=>5 [6,2,5,4,1,8,7,3]=>[6,5,2,8,1,4,7,3]=>[3,7,4,1,8,2,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>14 [4,6,3,2,1,8,7,5]=>[6,4,3,8,2,7,1,5]=>[5,1,7,2,8,3,4,6]=>[[1,3,5,7,8],[2,4,6]]=>13 [8,4,3,2,7,6,1,5]=>[4,8,3,7,2,1,6,5]=>[5,6,1,2,7,3,8,4]=>[[1,2,5,7],[3,4,6,8]]=>18 [3,2,7,4,8,6,1,5]=>[3,7,8,6,2,4,1,5]=>[5,1,4,2,6,8,7,3]=>[[1,3,5,6],[2,7],[4,8]]=>13 [6,8,3,7,5,2,1,4]=>[8,3,6,2,1,7,5,4]=>[4,5,7,1,2,6,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>21 [5,7,8,4,3,2,1,6]=>[7,8,5,4,3,2,1,6]=>[6,1,2,3,4,5,8,7]=>[[1,3,4,5,6,7],[2,8]]=>20 [6,4,3,8,5,2,1,7]=>[4,6,3,8,5,2,1,7]=>[7,1,2,5,8,3,6,4]=>[[1,3,4,5],[2,7],[6,8]]=>17 [4,5,3,2,8,6,1,7]=>[4,5,8,3,2,6,1,7]=>[7,1,6,2,3,8,5,4]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [3,2,8,6,5,4,1,7]=>[8,3,6,5,2,4,1,7]=>[7,1,4,2,5,6,3,8]=>[[1,3,5,6,8],[2,7],[4]]=>14 [8,4,3,6,5,2,1,7]=>[4,6,3,5,2,1,8,7]=>[7,8,1,2,5,3,6,4]=>[[1,2,5,7],[3,4],[6,8]]=>18 [6,8,7,4,3,2,1,5]=>[8,6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6,8]=>[[1,2,5,6,7,8],[3,4]]=>22 [5,8,1,3,7,2,6,4]=>[8,5,1,3,7,2,6,4]=>[4,6,2,7,3,1,5,8]=>[[1,2,4,8],[3,5,7],[6]]=>15 [6,3,2,1,8,7,4,5]=>[3,8,2,6,1,4,7,5]=>[5,7,4,1,6,2,8,3]=>[[1,2,7],[3,5,8],[4,6]]=>13 [6,2,3,1,8,7,4,5]=>[8,2,3,6,1,4,7,5]=>[5,7,4,1,6,3,2,8]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [3,4,7,1,8,5,6,2]=>[7,8,3,4,1,5,6,2]=>[2,6,5,1,4,3,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [5,6,7,1,3,8,4,2]=>[1,5,6,3,7,8,4,2]=>[2,4,8,7,3,6,5,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [7,2,1,5,8,4,6,3]=>[2,7,8,5,1,4,6,3]=>[3,6,4,1,5,8,7,2]=>[[1,2,5,6],[3,7],[4,8]]=>14 [4,2,8,1,7,5,6,3]=>[8,7,2,4,1,5,6,3]=>[3,6,5,1,4,2,7,8]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [8,4,6,1,2,7,5,3]=>[4,1,8,2,6,7,5,3]=>[3,5,7,6,2,8,1,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [8,6,1,5,3,7,4,2]=>[1,8,3,6,5,7,4,2]=>[2,4,7,5,6,3,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>19 [7,3,1,5,2,8,6,4]=>[1,7,3,8,2,5,6,4]=>[4,6,5,2,8,3,7,1]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [6,8,1,4,3,7,5,2]=>[6,4,8,1,3,7,5,2]=>[2,5,7,3,1,8,4,6]=>[[1,2,3,6],[4,7,8],[5]]=>17 [6,7,1,4,3,8,5,2]=>[6,4,1,3,7,8,5,2]=>[2,5,8,7,3,1,4,6]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [4,7,1,5,3,8,6,2]=>[4,7,1,5,8,3,6,2]=>[2,6,3,8,5,1,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>14 [2,7,1,4,5,8,6,3]=>[2,4,5,7,8,6,1,3]=>[3,1,6,8,7,5,4,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [6,8,1,2,4,7,5,3]=>[6,8,1,2,4,7,5,3]=>[3,5,7,4,2,1,8,6]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [7,1,6,4,8,3,5,2]=>[7,1,6,8,4,3,5,2]=>[2,5,3,4,8,6,1,7]=>[[1,2,4,5,8],[3,6],[7]]=>17 [7,1,6,3,4,8,5,2]=>[1,3,7,6,8,4,5,2]=>[2,5,4,8,6,7,3,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [8,6,4,1,3,7,5,2]=>[4,1,3,6,8,7,5,2]=>[2,5,7,8,6,3,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [8,6,3,4,1,7,5,2]=>[3,1,4,6,8,7,5,2]=>[2,5,7,8,6,4,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [8,6,2,1,4,7,5,3]=>[2,1,8,4,6,7,5,3]=>[3,5,7,6,4,8,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [8,6,1,4,5,7,3,2]=>[1,8,4,6,5,7,3,2]=>[2,3,7,5,6,4,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>19 [8,2,6,3,5,4,7,1]=>[6,2,5,3,4,8,7,1]=>[1,7,8,4,3,5,2,6]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [8,7,2,3,4,6,5,1]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[[1,2,3,4,8],[5],[6],[7]]=>19 [3,6,1,4,5,8,7,2]=>[6,3,8,1,4,5,7,2]=>[2,7,5,4,1,8,3,6]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [4,6,1,3,8,7,2,5]=>[6,8,1,4,7,3,2,5]=>[5,2,3,7,4,1,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>13 [5,6,8,2,1,7,4,3]=>[5,2,8,1,6,7,4,3]=>[3,4,7,6,1,8,2,5]=>[[1,2,3,6],[4,7,8],[5]]=>17 [7,1,3,8,4,2,5,6]=>[3,7,4,1,2,5,8,6]=>[6,8,5,2,1,4,7,3]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [2,8,3,5,7,4,1,6]=>[8,7,2,3,5,4,1,6]=>[6,1,4,5,3,2,7,8]=>[[1,3,4,7,8],[2],[5],[6]]=>14 [2,8,4,1,3,6,7,5]=>[2,1,4,8,6,7,3,5]=>[5,3,7,6,8,4,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [2,7,4,5,8,6,1,3]=>[4,5,7,8,6,2,1,3]=>[3,1,2,6,8,7,5,4]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [1,4,7,2,8,6,5,3]=>[7,8,4,6,1,5,2,3]=>[3,2,5,1,6,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>12 [1,6,7,8,5,2,4,3]=>[6,1,7,8,5,4,2,3]=>[3,2,4,5,8,7,1,6]=>[[1,3,4,5],[2,6],[7,8]]=>16 [6,2,4,7,5,1,8,3]=>[2,6,7,4,1,5,8,3]=>[3,8,5,1,4,7,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [8,1,2,4,5,6,7,3]=>[1,2,4,8,5,6,7,3]=>[3,7,6,5,8,4,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>11 [6,1,4,3,2,7,8,5]=>[4,3,1,2,6,7,8,5]=>[5,8,7,6,2,1,3,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [8,7,5,3,1,6,2,4]=>[1,3,5,2,8,7,6,4]=>[4,6,7,8,2,5,3,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [1,2,8,3,7,4,6,5]=>[8,1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>9 [8,1,3,7,4,5,2,6]=>[3,4,8,5,1,2,7,6]=>[6,7,2,1,5,8,4,3]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [8,2,7,4,3,5,6,1]=>[4,2,3,8,5,7,6,1]=>[1,6,7,5,8,3,2,4]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [8,2,6,5,4,3,1,7]=>[6,5,4,2,3,1,8,7]=>[7,8,1,3,2,4,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>18 [8,7,3,5,4,2,6,1]=>[5,3,4,2,8,7,6,1]=>[1,6,7,8,2,4,3,5]=>[[1,2,3,4],[5,6,8],[7]]=>22 [4,6,7,2,1,8,3,5]=>[6,2,7,4,1,8,3,5]=>[5,3,8,1,4,7,2,6]=>[[1,3,6],[2,5,8],[4,7]]=>14 [4,5,8,6,1,3,7,2]=>[4,1,8,5,6,3,7,2]=>[2,7,3,6,5,8,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [4,6,7,2,1,8,5,3]=>[6,4,2,7,8,1,5,3]=>[3,5,1,8,7,2,4,6]=>[[1,2,4,8],[3,5,7],[6]]=>15 [4,2,5,6,7,8,3,1]=>[2,4,5,6,7,8,3,1]=>[1,3,8,7,6,5,4,2]=>[[1,2,3],[4],[5],[6],[7],[8]]=>13 [4,6,8,3,2,7,1,5]=>[8,6,4,3,7,2,1,5]=>[5,1,2,7,3,4,6,8]=>[[1,3,4,6,7,8],[2,5]]=>17 [3,8,1,7,4,5,2,6]=>[8,3,1,4,7,5,2,6]=>[6,2,5,7,4,1,3,8]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [4,6,7,1,5,8,2,3]=>[4,6,7,1,5,2,8,3]=>[3,8,2,5,1,7,6,4]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [3,7,8,4,6,2,5,1]=>[3,7,8,6,4,2,5,1]=>[1,5,2,4,6,8,7,3]=>[[1,2,4,5,6],[3,7],[8]]=>19 [3,6,1,5,7,8,2,4]=>[3,6,5,7,1,8,2,4]=>[4,2,8,1,7,5,6,3]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [3,8,6,2,5,1,7,4]=>[3,6,5,2,8,7,1,4]=>[4,1,7,8,2,5,6,3]=>[[1,3,4,7],[2,5,6],[8]]=>16 [4,5,8,6,1,2,7,3]=>[4,1,8,5,2,6,7,3]=>[3,7,6,2,5,8,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [4,6,8,5,2,7,1,3]=>[8,6,4,2,5,1,7,3]=>[3,7,1,5,2,4,6,8]=>[[1,2,6,7,8],[3,4],[5]]=>18 [3,7,8,5,4,1,6,2]=>[3,7,1,8,5,4,6,2]=>[2,6,4,5,8,1,7,3]=>[[1,2,4,5],[3,7],[6,8]]=>18 [7,8,2,3,5,4,1,6]=>[7,2,3,5,4,1,8,6]=>[6,8,1,4,5,3,2,7]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [6,3,2,4,7,8,1,5]=>[3,2,4,6,7,1,8,5]=>[5,8,1,7,6,4,2,3]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [5,1,3,2,6,7,4,8]=>[3,1,2,5,6,7,4,8]=>[8,4,7,6,5,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>7 [6,3,4,5,2,8,1,7]=>[3,4,6,5,8,2,1,7]=>[7,1,2,8,5,6,4,3]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [4,5,6,8,3,7,1,2]=>[8,4,5,6,3,1,7,2]=>[2,7,1,3,6,5,4,8]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [4,1,3,5,2,6,7,8]=>[4,1,3,5,2,6,7,8]=>[8,7,6,2,5,3,1,4]=>[[1,5,8],[2],[3],[4],[6],[7]]=>5 [1,5,7,4,6,3,8,2]=>[7,5,4,6,3,8,1,2]=>[2,1,8,3,6,4,5,7]=>[[1,3,5,7,8],[2,4],[6]]=>13 [1,6,5,3,7,2,8,4]=>[6,1,5,7,3,8,2,4]=>[4,2,8,3,7,5,1,6]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [2,5,3,7,8,4,1,6]=>[5,7,2,8,3,4,1,6]=>[6,1,4,3,8,2,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [4,6,5,2,7,8,1,3]=>[6,4,2,5,7,1,8,3]=>[3,8,1,7,5,2,4,6]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [1,6,5,2,3,4,8,7]=>[1,2,6,5,8,3,4,7]=>[7,4,3,8,5,6,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [1,6,5,3,4,2,8,7]=>[3,6,5,4,8,1,2,7]=>[7,2,1,8,4,5,6,3]=>[[1,4,6,7],[2,5],[3,8]]=>10 [4,6,5,1,7,3,8,2]=>[4,6,1,5,7,3,8,2]=>[2,8,3,7,5,1,6,4]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [6,7,1,4,8,5,2,3]=>[6,4,7,1,2,8,5,3]=>[3,5,8,2,1,7,4,6]=>[[1,2,3],[4,6,8],[5,7]]=>17 [3,4,8,5,1,2,7,6]=>[3,4,1,8,5,7,2,6]=>[6,2,7,5,8,1,4,3]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [4,5,7,6,3,8,1,2]=>[7,4,5,6,3,1,8,2]=>[2,8,1,3,6,5,4,7]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [3,7,2,8,5,1,4,6]=>[7,3,8,2,1,5,4,6]=>[6,4,5,1,2,8,3,7]=>[[1,3,6,8],[2,5,7],[4]]=>14 [1,6,5,3,7,8,2,4]=>[6,1,5,7,8,3,2,4]=>[4,2,3,8,7,5,1,6]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [3,6,5,2,4,7,1,8]=>[6,5,3,2,4,7,1,8]=>[8,1,7,4,2,3,5,6]=>[[1,3,6,7,8],[2],[4],[5]]=>12 [2,6,5,1,4,3,7,8]=>[2,6,5,4,1,3,7,8]=>[8,7,3,1,4,5,6,2]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [1,6,5,3,7,8,4,2]=>[3,6,5,7,8,4,1,2]=>[2,1,4,8,7,5,6,3]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [2,6,5,8,4,1,7,3]=>[6,8,5,4,2,7,1,3]=>[3,1,7,2,4,5,8,6]=>[[1,3,5,6,7],[2,4,8]]=>15 [1,2,3,4,5,6,8,7,9]=>[8,1,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,1,8]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>1 [1,2,3,4,5,6,7,9,8,10]=>[9,1,2,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,2,1,9]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>1 [1,2,3,4,5,7,6,8,9]=>[7,1,2,3,4,5,6,8,9]=>[9,8,6,5,4,3,2,1,7]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>1 [9,2,3,4,5,6,7,1,8]=>[2,3,4,5,6,7,1,9,8]=>[8,9,1,7,6,5,4,3,2]=>[[1,2],[3,4],[5],[6],[7],[8],[9]]=>14 [2,5,3,8,4,6,1,7]=>[2,8,5,3,4,6,1,7]=>[7,1,6,4,3,5,8,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>11 [1,4,5,2,8,6,3,7]=>[4,5,8,1,6,2,3,7]=>[7,3,2,6,1,8,5,4]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [1,3,5,8,6,4,7,2]=>[5,8,6,3,4,7,1,2]=>[2,1,7,4,3,6,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>11 [1,3,5,8,6,7,2,4]=>[5,8,6,7,3,1,2,4]=>[4,2,1,3,7,6,8,5]=>[[1,4,5,7],[2,6],[3,8]]=>11 [8,4,5,1,3,7,2,6]=>[1,4,5,8,3,2,7,6]=>[6,7,2,3,8,5,4,1]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [7,8,6,4,1,3,5,2]=>[7,1,4,3,8,6,5,2]=>[2,5,6,8,3,4,1,7]=>[[1,2,3,4],[5,6,8],[7]]=>22 [5,1,7,6,3,4,2,8]=>[7,5,1,6,3,4,2,8]=>[8,2,4,3,6,1,5,7]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [6,2,7,3,8,5,4,1]=>[2,6,7,8,3,5,4,1]=>[1,4,5,3,8,7,6,2]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [7,2,8,3,6,4,5,1]=>[7,2,3,8,4,6,5,1]=>[1,5,6,4,8,3,2,7]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [6,2,7,8,3,1,4,5]=>[6,2,7,3,1,4,8,5]=>[5,8,4,1,3,7,2,6]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [3,7,8,1,2,5,6,4]=>[1,3,7,5,8,6,2,4]=>[4,2,6,8,5,7,3,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [1,2,8,7,3,4,6,5]=>[8,1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>10 [8,7,6,2,4,3,5,1]=>[4,2,3,8,7,6,5,1]=>[1,5,6,7,8,3,2,4]=>[[1,2,3,4,5],[6,8],[7]]=>23 [8,1,2,7,4,3,5,6]=>[8,1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [7,5,4,8,6,1,2,3]=>[5,4,1,7,2,8,6,3]=>[3,6,8,2,7,1,4,5]=>[[1,2,3],[4,5,8],[6,7]]=>20 [8,7,5,1,4,3,6,2]=>[5,4,1,3,8,7,6,2]=>[2,6,7,8,3,1,4,5]=>[[1,2,3,4],[5,7,8],[6]]=>21 [6,8,4,3,1,7,2,5]=>[6,4,3,1,8,2,7,5]=>[5,7,2,8,1,3,4,6]=>[[1,2,4,8],[3,6,7],[5]]=>18 [5,1,3,4,7,8,6,2]=>[1,5,7,8,3,4,6,2]=>[2,6,4,3,8,7,5,1]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [7,5,4,3,1,2,8,6]=>[1,5,4,3,2,7,8,6]=>[6,8,7,2,3,4,5,1]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [6,2,5,4,8,1,7,3]=>[6,5,2,4,8,1,7,3]=>[3,7,1,8,4,2,5,6]=>[[1,2,4,8],[3,5,7],[6]]=>15 [2,1,6,8,5,3,4,7]=>[8,6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6,8]=>[[1,5,6,7,8],[2],[3],[4]]=>10 [5,4,1,3,8,6,7,2]=>[5,8,1,4,3,6,7,2]=>[2,7,6,3,4,1,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [4,5,1,3,8,6,7,2]=>[8,1,4,5,3,6,7,2]=>[2,7,6,3,5,4,1,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>12 [1,2,6,8,5,3,4,7]=>[1,8,6,5,2,3,4,7]=>[7,4,3,2,5,6,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>9 [6,2,3,4,7,1,8,5]=>[2,3,4,6,1,7,8,5]=>[5,8,7,1,6,4,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>11 [8,5,7,6,3,1,2,4]=>[1,8,5,3,2,7,6,4]=>[4,6,7,2,3,5,8,1]=>[[1,2,3,7],[4,5,6],[8]]=>22 [5,1,4,2,6,8,7,3]=>[1,5,8,2,4,6,7,3]=>[3,7,6,4,2,8,5,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [6,3,2,4,7,1,8,5]=>[3,2,4,6,1,7,8,5]=>[5,8,7,1,6,4,2,3]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [1,5,6,8,4,2,3,7]=>[8,5,1,6,4,2,3,7]=>[7,3,2,4,6,1,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [5,7,8,3,6,1,2,4]=>[7,5,1,8,3,2,6,4]=>[4,6,2,3,8,1,5,7]=>[[1,2,5,8],[3,4,7],[6]]=>19 [8,5,6,3,7,1,2,4]=>[5,3,1,6,2,8,7,4]=>[4,7,8,2,6,1,3,5]=>[[1,2,3],[4,5,8],[6,7]]=>20 [5,7,6,8,3,1,2,4]=>[7,5,1,6,3,2,8,4]=>[4,8,2,3,6,1,5,7]=>[[1,2,5,8],[3,4],[6,7]]=>19 [6,8,7,5,3,1,2,4]=>[1,8,6,3,2,7,5,4]=>[4,5,7,2,3,6,8,1]=>[[1,2,3,7],[4,5,6],[8]]=>22 [6,5,7,3,8,1,2,4]=>[6,5,3,1,7,2,8,4]=>[4,8,2,7,1,3,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>18 [7,1,4,6,2,8,3,5]=>[4,7,1,6,2,3,8,5]=>[5,8,3,2,6,1,7,4]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [6,8,7,2,1,5,3,4]=>[2,6,1,8,3,7,5,4]=>[4,5,7,3,8,1,6,2]=>[[1,2,3,5],[4,7],[6,8]]=>19 [7,3,6,1,4,8,2,5]=>[7,3,1,4,6,2,8,5]=>[5,8,2,6,4,1,3,7]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [7,8,1,6,5,3,4,2]=>[7,1,8,6,3,5,4,2]=>[2,4,5,3,6,8,1,7]=>[[1,2,3,5,6],[4,8],[7]]=>21 [6,7,5,1,8,4,2,3]=>[6,7,1,5,2,8,4,3]=>[3,4,8,2,5,1,7,6]=>[[1,2,3,7],[4,5],[6,8]]=>19 [8,2,6,1,7,5,3,4]=>[2,8,6,1,7,3,5,4]=>[4,5,3,7,1,6,8,2]=>[[1,2,4,7],[3,6],[5,8]]=>17 [3,8,4,2,6,1,7,5]=>[3,4,6,2,8,7,1,5]=>[5,1,7,8,2,6,4,3]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [3,5,6,8,4,2,7,1]=>[8,5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [4,3,6,2,8,5,7,1]=>[4,6,8,3,2,5,7,1]=>[1,7,5,2,3,8,6,4]=>[[1,2,5,6],[3,7],[4,8]]=>14 [4,6,8,2,1,3,7,5]=>[2,1,8,6,4,7,3,5]=>[5,3,7,4,6,8,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>14 [6,8,1,5,3,2,7,4]=>[6,1,3,2,8,5,7,4]=>[4,7,5,8,2,3,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [1,7,2,3,5,8,6,4]=>[1,7,8,2,5,6,3,4]=>[4,3,6,5,2,8,7,1]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [4,2,8,7,5,3,6,1]=>[4,8,7,2,5,3,6,1]=>[1,6,3,5,2,7,8,4]=>[[1,2,4,6,7],[3,8],[5]]=>17 [4,1,8,6,5,2,7,3]=>[8,6,1,4,2,5,7,3]=>[3,7,5,2,4,1,6,8]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [6,4,8,7,2,1,5,3]=>[4,6,2,8,1,7,5,3]=>[3,5,7,1,8,2,6,4]=>[[1,2,3,5],[4,6,7],[8]]=>19 [2,8,5,4,1,6,7,3]=>[5,4,2,6,8,7,1,3]=>[3,1,7,8,6,2,4,5]=>[[1,3,4,8],[2,5,7],[6]]=>14 [4,5,7,3,2,1,6,8]=>[7,4,5,3,2,1,6,8]=>[8,6,1,2,3,5,4,7]=>[[1,4,5,6,8],[2],[3],[7]]=>13 [1,6,7,8,2,4,3,5]=>[1,6,2,7,8,4,3,5]=>[5,3,4,8,7,2,6,1]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [4,1,2,8,5,3,7,6]=>[8,4,1,2,5,7,3,6]=>[6,3,7,5,2,1,4,8]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [3,8,4,2,5,1,7,6]=>[3,4,2,5,8,7,1,6]=>[6,1,7,8,5,2,4,3]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [3,8,4,2,7,5,6,1]=>[8,3,4,2,7,5,6,1]=>[1,6,5,7,2,4,3,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [1,5,6,3,7,4,8,2]=>[5,3,6,7,4,8,1,2]=>[2,1,8,4,7,6,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [2,6,3,1,4,5,7,8]=>[2,3,1,6,4,5,7,8]=>[8,7,5,4,6,1,3,2]=>[[1,5],[2,7],[3],[4],[6],[8]]=>6 [2,8,3,5,6,4,1,7]=>[2,8,3,5,6,4,1,7]=>[7,1,4,6,5,3,8,2]=>[[1,3,4,7],[2],[5],[6],[8]]=>13 [4,1,5,7,6,8,2,3]=>[7,4,5,6,1,2,8,3]=>[3,8,2,1,6,5,4,7]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [7,6,8,3,2,5,1,4]=>[3,2,7,6,1,8,5,4]=>[4,5,8,1,6,7,2,3]=>[[1,2,3,6],[4,5,8],[7]]=>21 [4,6,1,7,5,2,3,8]=>[4,6,1,7,2,5,3,8]=>[8,3,5,2,7,1,6,4]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [3,1,7,2,6,5,4,8]=>[7,3,6,1,5,2,4,8]=>[8,4,2,5,1,6,3,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [5,6,4,7,2,1,8,3]=>[5,6,4,2,1,7,8,3]=>[3,8,7,1,2,4,6,5]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [5,7,2,8,3,1,6,4]=>[5,2,7,3,8,1,6,4]=>[4,6,1,8,3,7,2,5]=>[[1,2,4],[3,5,6],[7,8]]=>16 [7,8,1,3,4,6,5,2]=>[1,3,7,8,4,6,5,2]=>[2,5,6,4,8,7,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [2,7,1,4,5,3,8,6]=>[7,2,1,4,5,8,3,6]=>[6,3,8,5,4,1,2,7]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [1,5,2,7,4,3,6,8]=>[1,5,7,4,2,3,6,8]=>[8,6,3,2,4,7,5,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [5,1,3,8,4,6,2,7]=>[1,8,5,3,4,6,2,7]=>[7,2,6,4,3,5,8,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>11 [2,7,3,5,1,6,8,4]=>[5,2,3,7,6,8,1,4]=>[4,1,8,6,7,3,2,5]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [5,7,6,8,2,1,4,3]=>[7,5,2,1,6,8,4,3]=>[3,4,8,6,1,2,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>19 [1,3,6,5,2,7,4,8]=>[6,5,3,7,1,2,4,8]=>[8,4,2,1,7,3,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,2,6,5,3,4,7,8]=>[1,6,5,2,3,4,7,8]=>[8,7,4,3,2,5,6,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>5 [1,7,2,5,6,8,3,4]=>[5,7,6,1,2,8,3,4]=>[4,3,8,2,1,6,7,5]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [1,7,2,4,8,3,5,6]=>[7,4,1,2,3,8,5,6]=>[6,5,8,3,2,1,4,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [1,6,2,4,5,3,7,8]=>[1,6,4,5,2,3,7,8]=>[8,7,3,2,5,4,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [1,4,8,2,3,7,5,6]=>[8,1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [1,2,8,3,6,7,4,5]=>[8,1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [1,7,2,5,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>[6,4,8,5,3,2,7,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [8,2,1,4,6,7,3,5]=>[2,8,4,6,1,3,7,5]=>[5,7,3,1,6,4,8,2]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [4,1,3,7,2,5,8,6]=>[1,4,7,3,8,2,5,6]=>[6,5,2,8,3,7,4,1]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [6,2,7,5,1,3,8,4]=>[6,2,1,7,3,5,8,4]=>[4,8,5,3,7,1,2,6]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [1,7,5,6,2,3,8,4]=>[1,5,2,7,6,8,3,4]=>[4,3,8,6,7,2,5,1]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [3,7,6,1,2,4,8,5]=>[1,3,2,7,6,8,4,5]=>[5,4,8,6,7,2,3,1]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [1,7,4,3,8,2,5,6]=>[4,7,3,1,2,8,5,6]=>[6,5,8,2,1,3,7,4]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [7,8,4,1,5,6,2,3]=>[1,7,4,5,2,8,6,3]=>[3,6,8,2,5,4,7,1]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [6,3,8,4,7,1,2,5]=>[6,8,3,1,4,2,7,5]=>[5,7,2,4,1,3,8,6]=>[[1,2,7],[3,4,8],[5,6]]=>17 [1,2,5,4,8,3,6,7]=>[8,5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [8,1,3,7,2,4,5,6]=>[3,1,2,8,4,5,7,6]=>[6,7,5,4,8,2,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [3,5,4,7,8,1,2,6]=>[5,7,8,3,1,4,2,6]=>[6,2,4,1,3,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>13 [8,3,1,4,7,2,5,6]=>[3,8,1,4,2,5,7,6]=>[6,7,5,2,4,1,8,3]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [5,2,3,6,7,8,1,4]=>[2,3,5,6,7,1,8,4]=>[4,8,1,7,6,5,3,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>12 [1,3,7,8,5,6,2,4]=>[7,5,8,6,3,1,2,4]=>[4,2,1,3,6,8,5,7]=>[[1,4,5,6],[2,7,8],[3]]=>13 [8,2,6,7,5,1,3,4]=>[6,2,1,8,7,3,5,4]=>[4,5,3,7,8,1,2,6]=>[[1,2,4,5],[3,7,8],[6]]=>19 [2,5,8,4,7,1,3,6]=>[5,8,7,4,2,1,3,6]=>[6,3,1,2,4,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>14 [4,5,8,7,1,2,3,6]=>[1,8,7,4,2,5,3,6]=>[6,3,5,2,4,7,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [4,1,8,5,7,2,3,6]=>[8,4,1,7,2,5,3,6]=>[6,3,5,2,7,1,4,8]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [2,6,5,4,1,8,3,7]=>[6,5,4,8,2,1,3,7]=>[7,3,1,2,8,4,5,6]=>[[1,4,5,7,8],[2,6],[3]]=>12 [6,2,5,1,4,8,3,7]=>[2,6,5,8,1,4,3,7]=>[7,3,4,1,8,5,6,2]=>[[1,3,5,7],[2,6],[4,8]]=>12 [6,3,5,4,2,8,1,7]=>[6,3,5,4,8,2,1,7]=>[7,1,2,8,4,5,3,6]=>[[1,3,4,6,8],[2,5],[7]]=>15 [1,3,8,7,4,2,6,5]=>[3,4,8,7,6,1,2,5]=>[5,2,1,6,7,8,4,3]=>[[1,4,5,6],[2,7],[3,8]]=>12 [3,8,4,5,1,6,7,2]=>[3,4,1,5,8,6,7,2]=>[2,7,6,8,5,1,4,3]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [8,3,1,7,5,6,4,2]=>[1,8,7,3,5,6,4,2]=>[2,4,6,5,3,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>18 [8,4,7,6,5,3,1,2]=>[8,7,4,1,6,5,3,2]=>[2,3,5,6,1,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>24 [8,1,4,5,7,6,3,2]=>[8,4,5,7,6,1,3,2]=>[2,3,1,6,7,5,4,8]=>[[1,2,4,5,8],[3,6],[7]]=>17 [2,4,1,8,5,7,6,3]=>[4,8,7,2,5,6,1,3]=>[3,1,6,5,2,7,8,4]=>[[1,3,6,7],[2,4,8],[5]]=>11 [8,2,1,4,7,6,3,5]=>[8,7,2,4,1,3,6,5]=>[5,6,3,1,4,2,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>14 [8,2,7,3,1,6,5,4]=>[8,2,3,7,6,1,5,4]=>[4,5,1,6,7,3,2,8]=>[[1,2,4,5,8],[3,6],[7]]=>17 [1,8,4,2,3,7,6,5]=>[8,1,2,7,4,6,3,5]=>[5,3,6,4,7,2,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [3,1,2,8,7,4,6,5]=>[3,8,7,1,6,2,4,5]=>[5,4,2,6,1,7,8,3]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [8,5,1,2,4,3,7,6]=>[5,1,2,4,8,3,7,6]=>[6,7,3,8,4,2,1,5]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [2,8,3,7,4,1,6,5]=>[2,3,8,4,7,6,1,5]=>[5,1,6,7,4,8,3,2]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [8,4,5,7,6,2,3,1]=>[8,4,5,2,7,6,3,1]=>[1,3,6,7,2,5,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>22 [2,3,1,8,7,6,4,5]=>[8,7,6,2,3,1,4,5]=>[5,4,1,3,2,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>11 [1,3,4,8,7,2,5,6]=>[3,8,7,4,1,2,5,6]=>[6,5,2,1,4,7,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [3,4,8,2,6,7,1,5]=>[3,4,8,6,7,2,1,5]=>[5,1,2,7,6,8,4,3]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [3,6,8,2,5,1,7,4]=>[3,8,6,5,2,7,1,4]=>[4,1,7,2,5,6,8,3]=>[[1,3,5,6,7],[2,4],[8]]=>15 [3,8,2,5,7,4,6,1]=>[8,3,7,2,5,4,6,1]=>[1,6,4,5,2,7,3,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [8,2,7,5,6,4,1,3]=>[5,8,7,6,2,1,4,3]=>[3,4,1,2,6,7,8,5]=>[[1,2,5,6,7],[3,4,8]]=>21 [2,8,1,5,7,6,3,4]=>[8,2,7,5,1,6,3,4]=>[4,3,6,1,5,7,2,8]=>[[1,3,6,8],[2,5],[4,7]]=>14 [3,1,8,2,7,5,6,4]=>[8,7,3,1,5,6,2,4]=>[4,2,6,5,1,3,7,8]=>[[1,3,7,8],[2,4],[5,6]]=>12 [8,5,7,1,6,4,2,3]=>[8,5,1,2,7,6,4,3]=>[3,4,6,7,2,1,5,8]=>[[1,2,3,4,8],[5,7],[6]]=>21 [8,4,7,2,1,6,5,3]=>[4,8,2,7,1,6,5,3]=>[3,5,6,1,7,2,8,4]=>[[1,2,3,5,7],[4,6,8]]=>19 [1,8,4,7,6,5,2,3]=>[8,7,4,1,6,5,2,3]=>[3,2,5,6,1,4,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>17 [3,5,8,1,7,4,6,2]=>[8,5,7,3,1,4,6,2]=>[2,6,4,1,3,7,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>15 [3,7,1,2,8,6,4,5]=>[3,7,1,8,2,6,4,5]=>[5,4,6,2,8,1,7,3]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [3,8,1,2,5,6,4,7]=>[3,1,8,2,5,6,4,7]=>[7,4,6,5,2,8,1,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [3,7,1,2,5,6,4,8]=>[1,3,5,7,6,2,4,8]=>[8,4,2,6,7,5,3,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [4,8,1,6,5,2,7,3]=>[4,1,8,6,2,5,7,3]=>[3,7,5,2,6,8,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [4,2,6,3,8,5,7,1]=>[4,6,2,8,3,5,7,1]=>[1,7,5,3,8,2,6,4]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [2,7,3,1,6,5,8,4]=>[7,2,3,6,5,8,1,4]=>[4,1,8,5,6,3,2,7]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [4,5,2,6,7,1,8,3]=>[4,2,5,6,1,7,8,3]=>[3,8,7,1,6,5,2,4]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [5,7,1,2,6,8,4,3]=>[7,1,2,5,6,8,4,3]=>[3,4,8,6,5,2,1,7]=>[[1,2,3,8],[4],[5],[6],[7]]=>14 [4,2,8,3,5,6,7,1]=>[2,4,3,8,5,6,7,1]=>[1,7,6,5,8,3,4,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [2,7,6,3,1,5,4,8]=>[2,3,7,6,5,1,4,8]=>[8,4,1,5,6,7,3,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [3,7,4,2,8,1,6,5]=>[3,4,7,2,8,6,1,5]=>[5,1,6,8,2,7,4,3]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [8,3,5,4,2,7,1,6]=>[5,3,4,8,2,1,7,6]=>[6,7,1,2,8,4,3,5]=>[[1,2,5,8],[3,4,6],[7]]=>17 [2,8,6,4,7,3,1,5]=>[2,8,6,7,4,3,1,5]=>[5,1,3,4,7,6,8,2]=>[[1,3,4,5,7],[2,6],[8]]=>17 [5,2,7,8,6,1,4,3]=>[7,8,5,2,6,1,4,3]=>[3,4,1,6,2,5,8,7]=>[[1,2,4,7],[3,5,6,8]]=>17 [5,2,4,6,8,1,7,3]=>[5,2,4,6,8,1,7,3]=>[3,7,1,8,6,4,2,5]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [8,3,1,5,2,6,7,4]=>[1,3,2,8,5,6,7,4]=>[4,7,6,5,8,2,3,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [5,8,3,2,4,1,7,6]=>[3,2,5,4,8,7,1,6]=>[6,1,7,8,4,5,2,3]=>[[1,3,4],[2,5,6],[7,8]]=>15 [6,2,8,3,4,5,7,1]=>[2,3,6,4,8,5,7,1]=>[1,7,5,8,4,6,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [7,2,6,8,4,3,5,1]=>[7,6,4,2,3,8,5,1]=>[1,5,8,3,2,4,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>19 [7,2,5,3,4,8,6,1]=>[2,5,3,4,7,8,6,1]=>[1,6,8,7,4,3,5,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [3,6,2,1,4,5,7,8]=>[3,2,1,6,4,5,7,8]=>[8,7,5,4,6,1,2,3]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [5,2,4,6,1,3,8,7]=>[5,2,4,1,6,8,3,7]=>[7,3,8,6,1,4,2,5]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [7,2,3,4,6,8,1,5]=>[7,2,3,4,6,1,8,5]=>[5,8,1,6,4,3,2,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [6,8,3,4,7,5,2,1]=>[3,6,8,4,7,5,2,1]=>[1,2,5,7,4,8,6,3]=>[[1,2,3,4,6],[5,7],[8]]=>21 [3,7,4,6,8,2,5,1]=>[7,3,6,8,4,2,5,1]=>[1,5,2,4,8,6,3,7]=>[[1,2,4,5,8],[3,6],[7]]=>17 [4,5,2,8,1,7,3,6]=>[4,5,8,2,1,7,3,6]=>[6,3,7,1,2,8,5,4]=>[[1,3,6],[2,5,7],[4,8]]=>13 [4,8,5,2,6,7,1,3]=>[4,2,5,8,6,1,7,3]=>[3,7,1,6,8,5,2,4]=>[[1,2,5],[3,4,8],[6],[7]]=>17 [5,4,8,6,1,2,7,3]=>[1,8,5,4,2,6,7,3]=>[3,7,6,2,4,5,8,1]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [8,1,6,4,7,5,2,3]=>[1,8,6,7,4,2,5,3]=>[3,5,2,4,7,6,8,1]=>[[1,2,5,7],[3,4,6],[8]]=>18 [5,2,7,6,4,8,1,3]=>[7,5,6,2,4,1,8,3]=>[3,8,1,4,2,6,5,7]=>[[1,2,6,8],[3,4,7],[5]]=>16 [8,2,5,7,4,1,3,6]=>[8,5,4,2,1,3,7,6]=>[6,7,3,1,2,4,5,8]=>[[1,2,6,7,8],[3,5],[4]]=>17 [7,1,3,5,6,2,8,4]=>[3,7,5,1,2,6,8,4]=>[4,8,6,2,1,5,7,3]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [7,1,5,8,4,6,3,2]=>[5,7,4,8,6,1,3,2]=>[2,3,1,6,8,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>18 [6,3,8,4,7,1,5,2]=>[6,3,4,8,1,7,5,2]=>[2,5,7,1,8,4,3,6]=>[[1,2,3,5],[4,6,8],[7]]=>18 [5,3,6,1,4,2,8,7]=>[3,1,5,6,4,8,2,7]=>[7,2,8,4,6,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [5,7,2,1,4,3,8,6]=>[2,7,1,5,4,8,3,6]=>[6,3,8,4,5,1,7,2]=>[[1,3,5,7],[2,4],[6,8]]=>12 [7,1,8,3,5,2,4,6]=>[7,5,1,3,2,4,8,6]=>[6,8,4,2,3,1,5,7]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [7,2,4,8,1,5,6,3]=>[2,4,7,1,8,5,6,3]=>[3,6,5,8,1,7,4,2]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [7,1,8,4,2,5,6,3]=>[1,2,7,4,8,5,6,3]=>[3,6,5,8,4,7,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [6,4,2,5,8,1,7,3]=>[2,4,6,5,8,1,7,3]=>[3,7,1,8,5,6,4,2]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [2,1,7,5,8,3,6,4]=>[5,7,2,8,6,1,3,4]=>[4,3,1,6,8,2,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>11 [7,3,8,5,6,2,1,4]=>[7,3,8,5,2,1,6,4]=>[4,6,1,2,5,8,3,7]=>[[1,2,5,6],[3,4,8],[7]]=>20 [2,7,4,8,1,5,6,3]=>[7,4,2,5,8,6,1,3]=>[3,1,6,8,5,2,4,7]=>[[1,3,4,8],[2,5,7],[6]]=>14 [6,1,5,8,3,7,4,2]=>[6,5,8,1,7,3,4,2]=>[2,4,3,7,1,8,5,6]=>[[1,2,4,6],[3,7,8],[5]]=>16 [8,6,5,3,7,2,1,4]=>[3,6,5,2,1,8,7,4]=>[4,7,8,1,2,5,6,3]=>[[1,2,3,7],[4,5,6],[8]]=>22 [4,8,5,3,7,2,1,6]=>[4,5,8,7,3,2,1,6]=>[6,1,2,3,7,8,5,4]=>[[1,3,4,5,6],[2,7],[8]]=>18 [7,4,8,6,5,3,2,1]=>[7,8,4,6,5,3,2,1]=>[1,2,3,5,6,4,8,7]=>[[1,2,3,4,5,7],[6,8]]=>24 [7,4,8,5,6,3,1,2]=>[7,4,5,1,8,6,3,2]=>[2,3,6,8,1,5,4,7]=>[[1,2,3,4],[5,6,8],[7]]=>22 [7,8,4,1,3,5,6,2]=>[4,1,3,7,5,8,6,2]=>[2,6,8,5,7,3,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [7,8,3,4,1,5,6,2]=>[3,1,4,7,5,8,6,2]=>[2,6,8,5,7,4,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [7,2,3,8,1,5,6,4]=>[2,7,8,3,1,5,6,4]=>[4,6,5,1,3,8,7,2]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [2,7,4,8,6,3,1,5]=>[7,8,6,2,4,3,1,5]=>[5,1,3,4,2,6,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>16 [7,2,1,8,3,5,6,4]=>[2,7,1,8,3,5,6,4]=>[4,6,5,3,8,1,7,2]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [5,1,6,3,8,2,4,7]=>[5,6,3,1,2,8,4,7]=>[7,4,8,2,1,3,6,5]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [6,7,1,5,8,3,4,2]=>[6,7,5,1,3,8,4,2]=>[2,4,8,3,1,5,7,6]=>[[1,2,3,7],[4,6],[5,8]]=>18 [7,3,6,2,8,1,4,5]=>[3,7,6,2,1,4,8,5]=>[5,8,4,1,2,6,7,3]=>[[1,2,6,7],[3,5],[4,8]]=>16 [1,6,7,3,8,4,5,2]=>[3,6,7,4,8,5,1,2]=>[2,1,5,8,4,7,6,3]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [3,4,8,5,7,1,6,2]=>[3,4,8,5,7,1,6,2]=>[2,6,1,7,5,8,4,3]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [4,3,5,8,7,1,2,6]=>[8,4,7,3,1,5,2,6]=>[6,2,5,1,3,7,4,8]=>[[1,3,6,8],[2,5,7],[4]]=>14 [3,5,6,8,1,4,2,7]=>[8,5,3,6,1,4,2,7]=>[7,2,4,1,6,3,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>13 [7,3,6,1,8,4,2,5]=>[7,3,6,1,4,2,8,5]=>[5,8,2,4,1,6,3,7]=>[[1,2,6,8],[3,4],[5,7]]=>16 [1,4,5,8,6,3,7,2]=>[4,8,5,6,3,7,1,2]=>[2,1,7,3,6,5,8,4]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [3,5,4,8,6,2,1,7]=>[8,5,3,4,6,2,1,7]=>[7,1,2,6,4,3,5,8]=>[[1,3,4,7,8],[2],[5],[6]]=>14 [3,4,8,1,7,6,5,2]=>[8,7,3,4,6,1,5,2]=>[2,5,1,6,4,3,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>15 [3,4,8,5,1,7,6,2]=>[3,4,8,7,1,5,6,2]=>[2,6,5,1,7,8,4,3]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [4,3,5,8,2,6,1,7]=>[8,4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4,8]=>[[1,3,5,7,8],[2],[4],[6]]=>13 [6,8,1,5,4,2,7,3]=>[6,1,2,8,5,4,7,3]=>[3,7,4,5,8,2,1,6]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [6,2,7,5,4,1,3,8]=>[6,7,5,2,1,4,3,8]=>[8,3,4,1,2,5,7,6]=>[[1,3,6,7],[2,5,8],[4]]=>15 [7,2,8,5,4,6,3,1]=>[2,7,8,5,4,6,3,1]=>[1,3,6,4,5,8,7,2]=>[[1,2,3,5,6],[4,7],[8]]=>20 [6,1,7,5,4,3,8,2]=>[6,7,5,4,1,3,8,2]=>[2,8,3,1,4,5,7,6]=>[[1,2,5,6,7],[3,8],[4]]=>16 [5,4,2,3,8,6,7,1]=>[5,4,2,8,3,6,7,1]=>[1,7,6,3,8,2,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [5,7,6,8,4,3,1,2]=>[7,5,6,1,8,4,3,2]=>[2,3,4,8,1,6,5,7]=>[[1,2,3,4,8],[5,6],[7]]=>22 [6,3,2,8,5,4,7,1]=>[6,3,8,2,5,4,7,1]=>[1,7,4,5,2,8,3,6]=>[[1,2,4,6],[3,7,8],[5]]=>16 [5,6,2,8,4,3,7,1]=>[5,2,6,8,4,3,7,1]=>[1,7,3,4,8,6,2,5]=>[[1,2,4,5],[3,6],[7,8]]=>17 [6,1,7,8,3,2,4,5]=>[1,6,7,3,2,4,8,5]=>[5,8,4,2,3,7,6,1]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [4,1,2,6,8,3,7,5]=>[4,6,8,1,2,7,3,5]=>[5,3,7,2,1,8,6,4]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [5,1,3,6,2,7,4,8]=>[3,5,1,2,6,7,4,8]=>[8,4,7,6,2,1,5,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>8 [6,1,7,4,8,2,5,3]=>[1,6,7,4,8,2,5,3]=>[3,5,2,8,4,7,6,1]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [7,1,3,6,5,8,4,2]=>[7,6,1,5,8,3,4,2]=>[2,4,3,8,5,1,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>15 [5,1,7,4,6,8,2,3]=>[7,5,4,6,1,2,8,3]=>[3,8,2,1,6,4,5,7]=>[[1,2,7,8],[3,5],[4,6]]=>14 [5,1,4,3,6,7,2,8]=>[5,4,1,3,6,7,2,8]=>[8,2,7,6,3,1,4,5]=>[[1,3,7,8],[2],[4],[5],[6]]=>9 [5,4,2,3,6,8,7,1]=>[2,5,4,8,3,6,7,1]=>[1,7,6,3,8,4,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [7,5,3,6,2,8,4,1]=>[3,5,2,7,6,8,4,1]=>[1,4,8,6,7,2,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [4,6,2,7,8,3,5,1]=>[6,4,7,2,8,3,5,1]=>[1,5,3,8,2,7,4,6]=>[[1,2,4,8],[3,6],[5,7]]=>16 [5,1,2,4,6,7,8,3]=>[5,1,2,4,6,7,8,3]=>[3,8,7,6,4,2,1,5]=>[[1,2,8],[3],[4],[5],[6],[7]]=>8 [4,6,3,5,2,8,7,1]=>[6,4,3,5,8,2,7,1]=>[1,7,2,8,5,3,4,6]=>[[1,2,4,7,8],[3,5],[6]]=>15 [5,6,3,4,8,2,7,1]=>[5,3,6,8,4,2,7,1]=>[1,7,2,4,8,6,3,5]=>[[1,2,4,5],[3,6],[7,8]]=>17 [5,2,6,4,1,7,8,3]=>[5,6,2,1,4,7,8,3]=>[3,8,7,4,1,2,6,5]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [5,4,1,7,6,3,8,2]=>[5,7,1,4,6,3,8,2]=>[2,8,3,6,4,1,7,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [5,8,4,6,3,2,7,1]=>[5,4,8,6,3,2,7,1]=>[1,7,2,3,6,8,4,5]=>[[1,2,4,5,6],[3,8],[7]]=>20 [5,4,3,8,6,2,7,1]=>[5,8,4,3,6,2,7,1]=>[1,7,2,6,3,4,8,5]=>[[1,2,4,6,7],[3,8],[5]]=>17 [5,7,8,2,4,3,6,1]=>[2,7,8,5,4,3,6,1]=>[1,6,3,4,5,8,7,2]=>[[1,2,4,5,6],[3,7],[8]]=>19 [5,6,2,4,8,3,7,1]=>[2,5,6,8,4,3,7,1]=>[1,7,3,4,8,6,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [6,4,7,8,2,3,5,1]=>[4,6,2,7,3,8,5,1]=>[1,5,8,3,7,2,6,4]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [3,7,5,2,4,8,1,6]=>[7,3,2,5,8,4,1,6]=>[6,1,4,8,5,2,3,7]=>[[1,3,4,8],[2,5],[6,7]]=>14 [4,7,5,2,3,8,6,1]=>[4,2,7,5,8,3,6,1]=>[1,6,3,8,5,7,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>16 [5,3,7,2,8,4,6,1]=>[5,3,7,2,8,4,6,1]=>[1,6,4,8,2,7,3,5]=>[[1,2,4,8],[3,6],[5,7]]=>16 [4,3,7,2,5,8,6,1]=>[7,4,3,8,2,5,6,1]=>[1,6,5,2,8,3,4,7]=>[[1,2,5,7,8],[3,6],[4]]=>14 [4,7,3,2,5,8,6,1]=>[4,3,2,7,8,5,6,1]=>[1,6,5,8,7,2,3,4]=>[[1,2,4,8],[3,5],[6,7]]=>15 [4,8,3,5,1,7,6,2]=>[4,3,8,1,7,5,6,2]=>[2,6,5,7,1,8,3,4]=>[[1,2,4,6],[3,7,8],[5]]=>16 [4,7,3,2,6,8,5,1]=>[4,3,7,6,8,2,5,1]=>[1,5,2,8,6,7,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>16 [7,5,3,2,6,4,8,1]=>[3,2,5,7,6,4,8,1]=>[1,8,4,6,7,5,2,3]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [7,4,6,2,3,8,5,1]=>[2,7,4,3,6,8,5,1]=>[1,5,8,6,3,4,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [7,5,6,2,8,3,4,1]=>[2,5,7,6,3,8,4,1]=>[1,4,8,3,6,7,5,2]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [5,7,6,2,8,3,4,1]=>[5,7,2,6,3,8,4,1]=>[1,4,8,3,6,2,7,5]=>[[1,2,3,7],[4,5],[6,8]]=>19 [7,6,4,2,5,8,3,1]=>[2,4,7,6,5,8,3,1]=>[1,3,8,5,6,7,4,2]=>[[1,2,3,5,6],[4],[7],[8]]=>20 [7,8,2,5,1,3,6,4]=>[2,1,7,3,5,8,6,4]=>[4,6,8,5,3,7,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [1,3,2,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,1,3]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>1 [1,3,2,4,5,6,7,8,9,10]=>[3,1,2,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,2,1,3]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>1 [2,4,6,3,8,7,5,1]=>[6,8,4,7,2,3,5,1]=>[1,5,3,2,7,4,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>13 [2,4,6,1,8,7,3,5]=>[6,8,4,7,2,1,3,5]=>[5,3,1,2,7,4,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>11 [2,4,6,3,8,7,1,5]=>[6,8,4,7,2,3,1,5]=>[5,1,3,2,7,4,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>12 [2,4,6,5,8,7,1,3]=>[6,8,4,5,7,2,1,3]=>[3,1,2,7,5,4,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>13 [2,4,6,8,5,7,3,1]=>[8,6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6,8]=>[[1,2,4,7,8],[3,5],[6]]=>15 [2,4,6,8,5,7,1,3]=>[8,6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6,8]=>[[1,3,4,7,8],[2,5],[6]]=>14 [2,4,6,8,3,7,1,5]=>[8,6,4,7,2,3,1,5]=>[5,1,3,2,7,4,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>13 [2,4,6,8,1,7,3,5]=>[8,6,4,7,2,1,3,5]=>[5,3,1,2,7,4,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>12 [2,4,6,5,1,8,7,3]=>[6,4,5,8,2,7,1,3]=>[3,1,7,2,8,5,4,6]=>[[1,3,5,8],[2,4,6],[7]]=>11 [2,4,6,5,8,3,7,1]=>[6,8,4,5,2,3,7,1]=>[1,7,3,2,5,4,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>13 [2,4,6,5,8,1,7,3]=>[6,8,4,5,2,7,1,3]=>[3,1,7,2,5,4,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>12 [2,4,6,8,5,1,7,3]=>[8,6,4,5,2,7,1,3]=>[3,1,7,2,5,4,6,8]=>[[1,3,5,7,8],[2,4],[6]]=>13 [2,4,6,8,7,3,5,1]=>[8,6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>15 [2,4,6,8,7,1,5,3]=>[8,6,7,4,2,5,1,3]=>[3,1,5,2,4,7,6,8]=>[[1,3,5,6,8],[2,4,7]]=>14 [2,4,6,8,7,1,3,5]=>[8,6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6,8]=>[[1,4,5,6,8],[2,7],[3]]=>13 [2,4,6,8,5,1,3,7]=>[8,6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>12 [2,4,6,5,3,8,1,7]=>[6,4,5,8,2,3,1,7]=>[7,1,3,2,8,5,4,6]=>[[1,3,5,8],[2,6],[4,7]]=>11 [2,4,6,5,8,3,1,7]=>[6,8,4,5,2,3,1,7]=>[7,1,3,2,5,4,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>12 [2,4,6,8,5,3,1,7]=>[8,6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>13 [2,4,6,8,7,3,1,5]=>[8,6,7,4,2,3,1,5]=>[5,1,3,2,4,7,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>14 [2,4,6,8,7,5,1,3]=>[8,6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6,8]=>[[1,3,4,6,8],[2,5,7]]=>15 [6,1,4,7,5,8,2,3]=>[4,6,7,5,1,2,8,3]=>[3,8,2,1,5,7,6,4]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [4,6,1,7,8,5,3,2]=>[6,7,8,1,4,5,3,2]=>[2,3,5,4,1,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>16 [6,1,2,7,8,4,5,3]=>[6,7,1,8,2,4,5,3]=>[3,5,4,2,8,1,7,6]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [6,1,3,2,7,8,5,4]=>[3,6,7,8,1,2,5,4]=>[4,5,2,1,8,7,6,3]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [5,6,3,1,7,4,8,2]=>[1,5,3,6,7,4,8,2]=>[2,8,4,7,6,3,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [4,8,3,7,1,6,5,2]=>[4,8,3,7,6,1,5,2]=>[2,5,1,6,7,3,8,4]=>[[1,2,4,5,7],[3,6,8]]=>18 [8,7,2,6,5,1,4,3]=>[2,8,7,6,1,5,4,3]=>[3,4,5,1,6,7,8,2]=>[[1,2,3,5,6,7],[4,8]]=>22 [5,8,3,2,1,7,6,4]=>[5,3,8,2,7,1,6,4]=>[4,6,1,7,2,8,3,5]=>[[1,2,4,6],[3,5,7,8]]=>16 [5,4,3,8,1,7,6,2]=>[5,4,8,3,7,1,6,2]=>[2,6,1,7,3,8,4,5]=>[[1,2,4,6],[3,5,7,8]]=>16 [6,5,3,8,7,1,4,2]=>[3,6,5,8,1,7,4,2]=>[2,4,7,1,8,5,6,3]=>[[1,2,3,5],[4,6,7],[8]]=>19 [4,3,8,2,7,6,5,1]=>[4,8,7,3,6,2,5,1]=>[1,5,2,6,3,7,8,4]=>[[1,2,4,6,7],[3,5,8]]=>17 [7,8,2,6,5,4,1,3]=>[7,8,6,2,1,5,4,3]=>[3,4,5,1,2,6,8,7]=>[[1,2,3,6,7],[4,5,8]]=>22 [3,8,7,6,2,5,1,4]=>[3,8,7,6,5,2,1,4]=>[4,1,2,5,6,7,8,3]=>[[1,3,4,5,6,7],[2,8]]=>20 [4,8,3,7,6,2,5,1]=>[8,4,7,6,3,2,5,1]=>[1,5,2,3,6,7,4,8]=>[[1,2,4,5,6,8],[3,7]]=>20 [5,8,2,7,6,4,1,3]=>[8,7,2,5,1,6,4,3]=>[3,4,6,1,5,2,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>20 [8,4,2,1,7,6,5,3]=>[8,2,7,1,4,6,5,3]=>[3,5,6,4,1,7,2,8]=>[[1,2,3,6,8],[4,7],[5]]=>17 [1,6,4,2,5,3,7,8]=>[1,4,6,5,2,3,7,8]=>[8,7,3,2,5,6,4,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [1,8,6,2,7,3,4,5]=>[1,6,2,3,8,7,4,5]=>[5,4,7,8,3,2,6,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [1,5,2,6,4,3,7,8]=>[5,6,1,4,2,3,7,8]=>[8,7,3,2,4,1,6,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [1,8,6,2,3,7,4,5]=>[6,1,2,3,8,7,4,5]=>[5,4,7,8,3,2,1,6]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [1,3,6,8,2,7,4,5]=>[8,1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [1,4,3,8,2,5,6,7]=>[8,4,1,3,2,5,6,7]=>[7,6,5,2,3,1,4,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>7 [1,7,2,3,8,5,4,6]=>[1,7,8,2,3,5,4,6]=>[6,4,5,3,2,8,7,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [1,3,8,4,2,5,6,7]=>[3,4,1,2,8,5,6,7]=>[7,6,5,8,2,1,4,3]=>[[1,4],[2,7],[3,8],[5],[6]]=>7 [1,6,2,8,5,4,3,7]=>[6,8,1,5,4,2,3,7]=>[7,3,2,4,5,1,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [1,4,6,5,2,8,3,7]=>[6,4,5,1,8,2,3,7]=>[7,3,2,8,1,5,4,6]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [1,5,6,4,2,8,3,7]=>[5,6,4,1,8,2,3,7]=>[7,3,2,8,1,4,6,5]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [1,4,8,2,5,6,3,7]=>[1,4,5,8,6,2,3,7]=>[7,3,2,6,8,5,4,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [1,5,7,3,2,8,4,6]=>[7,1,5,8,3,2,4,6]=>[6,4,2,3,8,5,1,7]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [1,2,7,3,6,8,4,5]=>[7,6,1,2,8,3,4,5]=>[5,4,3,8,2,1,6,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [1,7,2,3,6,8,4,5]=>[7,6,1,2,3,8,4,5]=>[5,4,8,3,2,1,6,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [1,4,8,3,2,5,6,7]=>[4,3,1,2,8,5,6,7]=>[7,6,5,8,2,1,3,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [1,7,2,5,8,3,4,6]=>[7,1,8,2,3,5,4,6]=>[6,4,5,3,2,8,1,7]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [6,2,3,5,8,1,7,4]=>[6,2,3,5,8,1,7,4]=>[4,7,1,8,5,3,2,6]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [2,6,4,5,7,3,1,8]=>[4,6,5,7,2,3,1,8]=>[8,1,3,2,7,5,6,4]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [2,5,6,3,4,7,1,8]=>[5,2,6,3,4,7,1,8]=>[8,1,7,4,3,6,2,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [1,3,7,5,6,8,4,2]=>[5,7,6,8,3,4,1,2]=>[2,1,4,3,8,6,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>12 [1,3,6,7,4,5,8,2]=>[6,3,7,4,5,8,1,2]=>[2,1,8,5,4,7,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [1,5,6,3,4,7,2,8]=>[5,3,6,4,7,1,2,8]=>[8,2,1,7,4,6,3,5]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [1,7,5,6,8,3,4,2]=>[5,7,6,3,8,4,1,2]=>[2,1,4,8,3,6,7,5]=>[[1,3,4,7],[2,5,6],[8]]=>16 [1,3,7,5,2,8,6,4]=>[5,3,7,8,6,1,2,4]=>[4,2,1,6,8,7,3,5]=>[[1,4,5],[2,6,8],[3,7]]=>10 [1,3,7,2,5,8,6,4]=>[3,5,7,8,6,1,2,4]=>[4,2,1,6,8,7,5,3]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [1,5,3,7,4,6,2,8]=>[5,3,7,4,6,1,2,8]=>[8,2,1,6,4,7,3,5]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [1,5,6,3,7,4,2,8]=>[5,3,6,7,4,1,2,8]=>[8,2,1,4,7,6,3,5]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [1,5,7,3,6,4,8,2]=>[5,7,3,6,4,8,1,2]=>[2,1,8,4,6,3,7,5]=>[[1,3,5,7],[2,4,8],[6]]=>12 [1,3,7,5,6,2,8,4]=>[5,7,6,3,8,1,2,4]=>[4,2,1,8,3,6,7,5]=>[[1,4,6,7],[2,5],[3,8]]=>10 [2,5,7,4,1,3,8,6]=>[7,5,4,2,8,1,3,6]=>[6,3,1,8,2,4,5,7]=>[[1,4,6,7,8],[2,5],[3]]=>11 [6,3,1,5,8,7,2,4]=>[6,8,1,3,5,2,7,4]=>[4,7,2,5,3,1,8,6]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [6,3,4,7,2,1,8,5]=>[3,4,6,2,1,7,8,5]=>[5,8,7,1,2,6,4,3]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [4,6,3,5,8,2,1,7]=>[6,4,8,3,5,2,1,7]=>[7,1,2,5,3,8,4,6]=>[[1,3,4,6,8],[2,7],[5]]=>15 [3,6,2,5,8,4,1,7]=>[3,6,8,5,2,4,1,7]=>[7,1,4,2,5,8,6,3]=>[[1,3,5,6],[2,7],[4,8]]=>13 [7,2,4,8,6,3,1,5]=>[7,8,4,2,3,1,6,5]=>[5,6,1,3,2,4,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>17 [2,3,5,7,4,1,8,6]=>[7,5,2,3,4,8,1,6]=>[6,1,8,4,3,2,5,7]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [2,3,6,4,1,8,7,5]=>[2,6,8,3,4,7,1,5]=>[5,1,7,4,3,8,6,2]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [6,2,4,8,3,1,7,5]=>[4,6,2,3,8,1,7,5]=>[5,7,1,8,3,2,6,4]=>[[1,2,4],[3,5,7],[6,8]]=>14 [5,2,6,4,3,1,8,7]=>[5,6,2,4,3,8,1,7]=>[7,1,8,3,4,2,6,5]=>[[1,3,5,7],[2,4],[6,8]]=>12 [8,3,4,6,2,1,7,5]=>[3,8,4,2,1,6,7,5]=>[5,7,6,1,2,4,8,3]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [2,5,6,3,1,8,7,4]=>[5,2,6,8,3,7,1,4]=>[4,1,7,3,8,6,2,5]=>[[1,3,5],[2,4,6],[7,8]]=>11 [8,5,3,6,2,1,7,4]=>[3,5,2,1,6,8,7,4]=>[4,7,8,6,1,2,5,3]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [4,5,7,3,1,2,8,6]=>[7,4,1,5,3,8,2,6]=>[6,2,8,3,5,1,4,7]=>[[1,3,5,8],[2,4],[6,7]]=>13 [4,5,1,8,3,2,7,6]=>[4,5,1,8,3,7,2,6]=>[6,2,7,3,8,1,5,4]=>[[1,3,5],[2,4,7],[6,8]]=>12 [5,7,4,6,3,2,1,8]=>[7,5,4,6,3,2,1,8]=>[8,1,2,3,6,4,5,7]=>[[1,3,4,5,7,8],[2],[6]]=>18 [2,5,3,8,4,1,7,6]=>[2,8,5,3,4,7,1,6]=>[6,1,7,4,3,5,8,2]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [6,7,2,3,1,8,5,4]=>[2,3,1,6,7,8,5,4]=>[4,5,8,7,6,1,3,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [5,7,2,3,1,8,6,4]=>[2,5,3,7,8,1,6,4]=>[4,6,1,8,7,3,5,2]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [2,6,3,4,1,8,7,5]=>[2,3,6,8,4,7,1,5]=>[5,1,7,4,8,6,3,2]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [8,2,3,4,1,7,6,5]=>[8,2,3,4,7,1,6,5]=>[5,6,1,7,4,3,2,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [6,2,3,4,1,8,7,5]=>[2,3,4,8,1,6,7,5]=>[5,7,6,1,8,4,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [5,2,3,7,6,4,1,8]=>[7,2,3,5,6,4,1,8]=>[8,1,4,6,5,3,2,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>12 [6,2,7,3,5,4,1,8]=>[2,6,7,3,5,4,1,8]=>[8,1,4,5,3,7,6,2]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [7,2,6,5,3,4,1,8]=>[2,7,6,3,5,4,1,8]=>[8,1,4,5,3,6,7,2]=>[[1,3,4,6,7],[2],[5],[8]]=>16 [8,2,6,5,4,1,3,7]=>[6,5,4,2,1,3,8,7]=>[7,8,3,1,2,4,5,6]=>[[1,2,6,7,8],[3,5],[4]]=>17 [6,2,8,4,5,1,3,7]=>[6,2,4,1,8,5,3,7]=>[7,3,5,8,1,4,2,6]=>[[1,3,4],[2,6,8],[5],[7]]=>15 [2,3,1,7,8,5,6,4]=>[7,2,8,3,5,6,1,4]=>[4,1,6,5,3,8,2,7]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [7,2,8,5,1,4,3,6]=>[2,7,5,4,1,3,8,6]=>[6,8,3,1,4,5,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>16 [8,6,7,1,4,2,3,5]=>[1,6,2,4,3,8,7,5]=>[5,7,8,3,4,2,6,1]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [6,8,7,1,4,3,2,5]=>[8,6,1,4,3,2,7,5]=>[5,7,2,3,4,1,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>19 [4,8,7,3,1,2,5,6]=>[1,4,3,2,8,7,5,6]=>[6,5,7,8,2,3,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [4,8,6,2,3,1,5,7]=>[2,8,4,3,1,6,5,7]=>[7,5,6,1,3,4,8,2]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [3,8,5,4,2,1,6,7]=>[5,3,4,2,1,8,6,7]=>[7,6,8,1,2,4,3,5]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [4,5,3,8,2,1,6,7]=>[8,4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4,8]=>[[1,4,5,6,8],[2],[3],[7]]=>13 [3,5,7,8,2,4,6,1]=>[7,8,5,3,2,4,6,1]=>[1,6,4,2,3,5,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>16 [7,8,2,5,4,3,6,1]=>[7,5,2,4,3,8,6,1]=>[1,6,8,3,4,2,5,7]=>[[1,2,3,7,8],[4,5],[6]]=>20 [1,7,3,6,8,4,5,2]=>[7,6,3,4,8,5,1,2]=>[2,1,5,8,4,3,6,7]=>[[1,3,4,8],[2,5,7],[6]]=>14 [4,6,8,2,7,3,5,1]=>[8,6,4,2,7,3,5,1]=>[1,5,3,7,2,4,6,8]=>[[1,2,4,7,8],[3,6],[5]]=>18 [4,7,6,3,5,1,8,2]=>[7,6,4,3,1,5,8,2]=>[2,8,5,1,3,4,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>17 [7,8,3,6,1,5,4,2]=>[3,7,8,1,6,5,4,2]=>[2,4,5,6,1,8,7,3]=>[[1,2,3,4,6],[5,7],[8]]=>21 [2,5,7,8,4,6,1,3]=>[7,8,5,4,6,2,1,3]=>[3,1,2,6,4,5,8,7]=>[[1,3,4,6,7],[2,5,8]]=>16 [2,6,8,4,7,5,1,3]=>[6,8,4,7,5,2,1,3]=>[3,1,2,5,7,4,8,6]=>[[1,3,4,5,7],[2,6,8]]=>17 [5,8,2,7,3,6,4,1]=>[5,8,2,7,3,6,4,1]=>[1,4,6,3,7,2,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>19 [7,8,5,3,2,6,1,4]=>[3,2,7,5,1,8,6,4]=>[4,6,8,1,5,7,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>21 [6,7,4,3,8,2,5,1]=>[6,4,3,7,2,8,5,1]=>[1,5,8,2,7,3,4,6]=>[[1,2,3,7,8],[4,5],[6]]=>20 [3,4,2,7,8,6,1,5]=>[7,8,3,4,6,2,1,5]=>[5,1,2,6,4,3,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>13 [7,8,6,1,4,3,2,5]=>[7,4,1,3,2,8,6,5]=>[5,6,8,2,3,1,4,7]=>[[1,2,3,8],[4,5,7],[6]]=>20 [2,4,7,8,6,1,3,5]=>[7,8,6,4,2,1,3,5]=>[5,3,1,2,4,6,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>14 [3,7,8,6,5,2,4,1]=>[7,8,6,5,3,2,4,1]=>[1,4,2,3,5,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>21 [4,6,2,5,3,1,7,8]=>[4,6,2,5,3,1,7,8]=>[8,7,1,3,5,2,6,4]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [2,6,7,5,4,1,3,8]=>[6,7,5,4,2,1,3,8]=>[8,3,1,2,4,5,7,6]=>[[1,4,5,6,7],[2,8],[3]]=>14 [4,5,7,3,8,6,1,2]=>[7,4,5,8,3,1,6,2]=>[2,6,1,3,8,5,4,7]=>[[1,2,5,8],[3,4,6],[7]]=>17 [6,8,5,3,7,2,1,4]=>[3,8,6,5,2,1,7,4]=>[4,7,1,2,5,6,8,3]=>[[1,2,5,6,7],[3,4],[8]]=>21 [4,6,7,8,5,3,1,2]=>[6,7,8,4,1,5,3,2]=>[2,3,5,1,4,8,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>20 [4,7,1,5,8,2,6,3]=>[4,7,1,5,8,2,6,3]=>[3,6,2,8,5,1,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>14 [2,7,5,8,3,6,4,1]=>[5,2,7,8,6,3,4,1]=>[1,4,3,6,8,7,2,5]=>[[1,2,4,5],[3,6],[7,8]]=>17 [8,3,4,1,2,6,7,5]=>[3,4,1,8,2,6,7,5]=>[5,7,6,2,8,1,4,3]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [7,2,4,5,1,8,3,6]=>[4,5,2,7,1,3,8,6]=>[6,8,3,1,7,2,5,4]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [3,8,7,5,1,4,2,6]=>[3,8,1,7,5,4,2,6]=>[6,2,4,5,7,1,8,3]=>[[1,3,4,5,7],[2,8],[6]]=>17 [7,3,1,2,8,5,6,4]=>[3,7,1,8,2,5,6,4]=>[4,6,5,2,8,1,7,3]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [4,8,2,3,5,7,6,1]=>[2,4,8,3,7,5,6,1]=>[1,6,5,7,3,8,4,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [6,7,4,8,5,3,2,1]=>[6,4,7,8,5,3,2,1]=>[1,2,3,5,8,7,4,6]=>[[1,2,3,4,5],[6,8],[7]]=>23 [3,7,6,1,4,2,8,5]=>[1,3,7,6,4,8,2,5]=>[5,2,8,4,6,7,3,1]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [3,5,2,6,4,7,8,1]=>[5,3,6,2,4,7,8,1]=>[1,8,7,4,2,6,3,5]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [5,6,7,2,4,3,8,1]=>[5,2,6,7,4,3,8,1]=>[1,8,3,4,7,6,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [4,1,2,8,5,7,6,3]=>[8,1,7,2,4,5,6,3]=>[3,6,5,4,2,7,1,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>11 [3,1,4,6,7,5,8,2]=>[6,7,1,3,4,5,8,2]=>[2,8,5,4,3,1,7,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [2,6,4,5,8,1,3,7]=>[4,6,8,5,2,1,3,7]=>[7,3,1,2,5,8,6,4]=>[[1,4,5,6],[2,7],[3,8]]=>12 [6,4,1,3,5,8,2,7]=>[4,1,3,6,8,5,2,7]=>[7,2,5,8,6,3,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [7,3,1,4,5,8,2,6]=>[1,3,4,5,7,2,8,6]=>[6,8,2,7,5,4,3,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>12 [3,7,1,4,5,8,6,2]=>[3,1,7,8,4,5,6,2]=>[2,6,5,4,8,7,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [2,5,6,3,8,7,4,1]=>[5,8,2,6,7,3,4,1]=>[1,4,3,7,6,2,8,5]=>[[1,2,4,7],[3,5],[6,8]]=>14 [3,7,6,2,1,5,8,4]=>[3,2,7,6,5,8,1,4]=>[4,1,8,5,6,7,2,3]=>[[1,3,5,6],[2,4,8],[7]]=>14 [4,2,6,1,3,7,8,5]=>[4,2,1,6,7,8,3,5]=>[5,3,8,7,6,1,2,4]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [8,5,4,2,7,6,3,1]=>[2,5,8,4,7,6,3,1]=>[1,3,6,7,4,8,5,2]=>[[1,2,3,4,6],[5,7],[8]]=>21 [1,8,3,4,6,7,2,5]=>[1,8,6,7,3,4,2,5]=>[5,2,4,3,7,6,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [8,2,3,6,1,5,7,4]=>[2,3,8,6,1,5,7,4]=>[4,7,5,1,6,8,3,2]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [2,5,3,1,6,8,7,4]=>[2,5,8,3,6,7,1,4]=>[4,1,7,6,3,8,5,2]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [5,8,2,1,4,6,7,3]=>[5,2,1,8,4,6,7,3]=>[3,7,6,4,8,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [8,4,6,1,2,5,7,3]=>[1,4,6,2,5,8,7,3]=>[3,7,8,5,2,6,4,1]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [3,7,8,4,2,6,5,1]=>[3,7,4,8,6,2,5,1]=>[1,5,2,6,8,4,7,3]=>[[1,2,4,5],[3,6,7],[8]]=>18 [8,5,1,4,2,6,7,3]=>[1,5,2,4,6,8,7,3]=>[3,7,8,6,4,2,5,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [7,2,4,8,5,6,1,3]=>[7,2,4,8,5,1,6,3]=>[3,6,1,5,8,4,2,7]=>[[1,2,5],[3,4,8],[6],[7]]=>17 [3,6,7,2,8,1,5,4]=>[6,3,7,2,8,5,1,4]=>[4,1,5,8,2,7,3,6]=>[[1,3,4,8],[2,5,6],[7]]=>15 [2,6,7,1,3,5,8,4]=>[2,1,6,7,5,8,3,4]=>[4,3,8,5,7,6,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [3,6,7,1,8,2,5,4]=>[6,3,1,7,8,5,2,4]=>[4,2,5,8,7,1,3,6]=>[[1,3,4],[2,5,8],[6,7]]=>14 [3,4,1,8,7,2,6,5]=>[3,8,4,7,1,6,2,5]=>[5,2,6,1,7,4,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>12 [3,1,5,7,8,2,6,4]=>[7,3,5,8,1,6,2,4]=>[4,2,6,1,8,5,3,7]=>[[1,3,5],[2,6,8],[4,7]]=>11 [3,8,1,4,7,2,6,5]=>[1,8,3,4,7,6,2,5]=>[5,2,6,7,4,3,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [4,1,8,3,2,7,6,5]=>[4,8,1,7,3,6,2,5]=>[5,2,6,3,7,1,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>12 [4,1,3,8,2,7,6,5]=>[4,8,7,1,3,6,2,5]=>[5,2,6,3,1,7,8,4]=>[[1,3,6,7],[2,4,8],[5]]=>11 [1,4,2,3,7,6,5,8]=>[7,1,4,6,2,3,5,8]=>[8,5,3,2,6,4,1,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [4,3,1,8,2,7,6,5]=>[4,8,3,7,1,6,2,5]=>[5,2,6,1,7,3,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>12 [4,3,8,1,2,7,6,5]=>[1,4,8,7,3,6,2,5]=>[5,2,6,3,7,8,4,1]=>[[1,3,5,6],[2,4,7],[8]]=>13 [3,4,2,8,7,1,6,5]=>[8,7,3,4,2,6,1,5]=>[5,1,6,2,4,3,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>13 [2,4,5,7,6,1,8,3]=>[7,4,5,6,2,8,1,3]=>[3,1,8,2,6,5,4,7]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [2,4,5,7,6,8,1,3]=>[7,4,5,6,8,2,1,3]=>[3,1,2,8,6,5,4,7]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [2,3,5,7,8,6,1,4]=>[7,8,5,6,2,3,1,4]=>[4,1,3,2,6,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>12 [2,3,8,4,7,6,1,5]=>[8,7,2,6,3,4,1,5]=>[5,1,4,3,6,2,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>13 [3,8,2,4,7,1,6,5]=>[8,3,2,4,7,6,1,5]=>[5,1,6,7,4,2,3,8]=>[[1,3,4,8],[2,5,7],[6]]=>14 [3,2,4,8,7,1,6,5]=>[8,7,3,2,4,6,1,5]=>[5,1,6,4,2,3,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>12 [4,2,3,8,1,7,6,5]=>[4,8,2,7,3,6,1,5]=>[5,1,6,3,7,2,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>12 [4,2,8,3,1,7,6,5]=>[2,4,8,7,3,6,1,5]=>[5,1,6,3,7,8,4,2]=>[[1,3,5,6],[2,4,7],[8]]=>13 [4,8,2,3,1,7,6,5]=>[2,4,8,3,7,6,1,5]=>[5,1,6,7,3,8,4,2]=>[[1,3,4,6],[2,5,7],[8]]=>14 [4,8,2,1,3,7,6,5]=>[2,8,1,4,7,6,3,5]=>[5,3,6,7,4,1,8,2]=>[[1,3,4,7],[2,5],[6,8]]=>13 [4,2,8,1,3,7,6,5]=>[4,8,2,7,1,6,3,5]=>[5,3,6,1,7,2,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>12 [3,1,2,4,7,8,6,5]=>[7,8,1,3,6,2,4,5]=>[5,4,2,6,3,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [3,5,4,7,2,8,1,6]=>[5,7,3,4,8,2,1,6]=>[6,1,2,8,4,3,7,5]=>[[1,3,4,7],[2,5],[6,8]]=>13 [3,6,4,7,8,2,1,5]=>[3,6,7,8,4,2,1,5]=>[5,1,2,4,8,7,6,3]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [5,3,4,6,1,7,8,2]=>[3,5,4,1,6,7,8,2]=>[2,8,7,6,1,4,5,3]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [2,4,7,6,8,1,3,5]=>[7,6,8,4,2,1,3,5]=>[5,3,1,2,4,8,6,7]=>[[1,4,5,6,8],[2,7],[3]]=>13 [5,6,4,7,1,2,8,3]=>[5,1,6,4,2,7,8,3]=>[3,8,7,2,4,6,1,5]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [4,6,7,5,8,2,3,1]=>[6,7,4,5,2,8,3,1]=>[1,3,8,2,5,4,7,6]=>[[1,2,3,7],[4,5,8],[6]]=>19 [3,5,1,7,6,8,4,2]=>[7,3,5,6,8,1,4,2]=>[2,4,1,8,6,5,3,7]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [4,5,7,1,6,8,3,2]=>[4,7,1,5,6,8,3,2]=>[2,3,8,6,5,1,7,4]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [3,2,7,6,8,1,4,5]=>[7,6,8,3,2,1,4,5]=>[5,4,1,2,3,8,6,7]=>[[1,4,5,6,8],[2,7],[3]]=>13 [4,5,1,7,6,8,2,3]=>[7,1,4,5,6,2,8,3]=>[3,8,2,6,5,4,1,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [6,2,5,7,1,3,8,4]=>[6,5,2,1,3,7,8,4]=>[4,8,7,3,1,2,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [4,1,7,8,3,5,2,6]=>[7,4,1,8,3,5,2,6]=>[6,2,5,3,8,1,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [7,2,8,3,1,6,5,4]=>[2,3,7,8,6,1,5,4]=>[4,5,1,6,8,7,3,2]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [6,7,2,8,3,1,4,5]=>[6,2,3,1,7,4,8,5]=>[5,8,4,7,1,3,2,6]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [6,2,7,8,4,1,3,5]=>[6,7,4,2,1,3,8,5]=>[5,8,3,1,2,4,7,6]=>[[1,2,6,7],[3,5],[4,8]]=>16 [7,2,6,8,3,4,1,5]=>[2,7,6,3,4,1,8,5]=>[5,8,1,4,3,6,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [7,2,4,1,6,8,3,5]=>[4,7,2,6,1,3,8,5]=>[5,8,3,1,6,2,7,4]=>[[1,2,7],[3,5,8],[4,6]]=>13 [6,3,7,8,4,1,2,5]=>[6,7,3,1,4,2,8,5]=>[5,8,2,4,1,3,7,6]=>[[1,2,7],[3,4,8],[5,6]]=>17 [7,6,2,3,1,8,4,5]=>[2,3,7,1,6,4,8,5]=>[5,8,4,6,1,7,3,2]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [2,6,3,7,8,4,1,5]=>[6,7,2,3,8,4,1,5]=>[5,1,4,8,3,2,7,6]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [2,7,8,5,3,4,1,6]=>[7,2,3,8,5,4,1,6]=>[6,1,4,5,8,3,2,7]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [4,2,5,1,3,7,8,6]=>[2,4,1,5,7,8,3,6]=>[6,3,8,7,5,1,4,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>8 [4,3,5,1,2,7,8,6]=>[4,3,1,5,7,8,2,6]=>[6,2,8,7,5,1,3,4]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [3,4,1,7,8,5,2,6]=>[7,3,4,8,1,5,2,6]=>[6,2,5,1,8,4,3,7]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [3,1,4,8,5,2,7,6]=>[1,3,8,4,5,7,2,6]=>[6,2,7,5,4,8,3,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [4,3,1,8,5,2,7,6]=>[4,8,3,1,5,7,2,6]=>[6,2,7,5,1,3,8,4]=>[[1,3,7],[2,4,8],[5,6]]=>11 [6,3,8,4,7,5,2,1]=>[6,8,3,4,7,5,2,1]=>[1,2,5,7,4,3,8,6]=>[[1,2,3,4,7],[5,8],[6]]=>20 [8,5,3,1,4,2,7,6]=>[1,3,5,4,8,2,7,6]=>[6,7,2,8,4,5,3,1]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [8,5,4,3,1,2,7,6]=>[1,5,4,3,8,2,7,6]=>[6,7,2,8,3,4,5,1]=>[[1,2,4,7],[3,5,6],[8]]=>17 [4,5,1,3,2,7,8,6]=>[1,4,5,3,7,8,2,6]=>[6,2,8,7,3,5,4,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [5,1,3,2,4,7,8,6]=>[3,1,2,5,7,8,4,6]=>[6,4,8,7,5,2,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [8,5,4,2,3,1,7,6]=>[2,5,4,3,8,1,7,6]=>[6,7,1,8,3,4,5,2]=>[[1,2,4,7],[3,5,6],[8]]=>17 [2,3,7,8,5,4,1,6]=>[2,7,8,5,3,4,1,6]=>[6,1,4,3,5,8,7,2]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [5,3,6,7,8,2,1,4]=>[3,5,6,7,2,1,8,4]=>[4,8,1,2,7,6,5,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [4,8,3,5,7,2,1,6]=>[4,8,3,7,5,2,1,6]=>[6,1,2,5,7,3,8,4]=>[[1,3,4,5,7],[2,8],[6]]=>17 [1,2,4,8,7,3,5,6]=>[8,1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>8 [5,2,7,8,3,1,4,6]=>[5,2,7,3,1,8,4,6]=>[6,4,8,1,3,7,2,5]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [7,2,4,1,3,8,5,6]=>[4,2,7,1,3,5,8,6]=>[6,8,5,3,1,7,2,4]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [4,5,6,2,7,8,1,3]=>[4,5,2,6,7,1,8,3]=>[3,8,1,7,6,2,5,4]=>[[1,2,7],[3,4],[5],[6],[8]]=>14 [2,6,7,3,8,1,4,5]=>[2,6,7,3,1,8,4,5]=>[5,4,8,1,3,7,6,2]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [2,8,6,3,1,7,4,5]=>[2,3,6,1,8,7,4,5]=>[5,4,7,8,1,6,3,2]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [4,7,5,1,2,6,8,3]=>[1,4,2,7,5,6,8,3]=>[3,8,6,5,7,2,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [5,6,1,4,2,8,7,3]=>[5,1,2,6,8,4,7,3]=>[3,7,4,8,6,2,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [4,5,7,2,3,6,1,8]=>[7,4,2,5,3,6,1,8]=>[8,1,6,3,5,2,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [2,5,7,3,4,6,8,1]=>[2,7,5,3,4,6,8,1]=>[1,8,6,4,3,5,7,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>12 [5,8,2,1,3,7,4,6]=>[2,5,1,3,8,7,4,6]=>[6,4,7,8,3,1,5,2]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [8,5,2,3,1,7,4,6]=>[2,3,5,1,8,4,7,6]=>[6,7,4,8,1,5,3,2]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [6,8,2,3,1,4,7,5]=>[2,3,1,6,8,4,7,5]=>[5,7,4,8,6,1,3,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [2,7,3,4,1,5,6,8]=>[2,3,4,1,7,5,6,8]=>[8,6,5,7,1,4,3,2]=>[[1,4],[2,6],[3],[5],[7],[8]]=>8 [7,4,2,1,3,5,8,6]=>[2,1,4,3,5,7,8,6]=>[6,8,7,5,3,4,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>11 [3,5,2,4,6,7,8,1]=>[5,3,2,4,6,7,8,1]=>[1,8,7,6,4,2,3,5]=>[[1,2,7,8],[3],[4],[5],[6]]=>10 [5,2,3,7,4,6,8,1]=>[5,2,3,7,4,6,8,1]=>[1,8,6,4,7,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [6,2,3,4,8,5,7,1]=>[6,2,3,4,8,5,7,1]=>[1,7,5,8,4,3,2,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [2,7,5,8,4,1,6,3]=>[5,7,4,2,8,6,1,3]=>[3,1,6,8,2,4,7,5]=>[[1,3,4,7],[2,5,6],[8]]=>16 [1,7,5,8,4,2,6,3]=>[5,1,7,4,8,6,2,3]=>[3,2,6,8,4,7,1,5]=>[[1,3,4],[2,5,6],[7,8]]=>15 [1,4,8,5,6,2,7,3]=>[4,5,1,8,6,7,2,3]=>[3,2,7,6,8,1,5,4]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [6,3,5,8,4,7,1,2]=>[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>18 [1,3,8,5,2,6,7,4]=>[5,3,6,8,7,1,2,4]=>[4,2,1,7,8,6,3,5]=>[[1,4,5],[2,6,8],[3,7]]=>10 [7,2,8,4,5,1,6,3]=>[2,7,4,1,8,5,6,3]=>[3,6,5,8,1,4,7,2]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [6,2,5,8,4,1,7,3]=>[6,8,5,2,1,4,7,3]=>[3,7,4,1,2,5,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>16 [3,1,8,5,2,6,7,4]=>[3,1,5,8,6,7,2,4]=>[4,2,7,6,8,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [1,2,8,5,3,6,7,4]=>[1,5,6,8,7,2,3,4]=>[4,3,2,7,8,6,5,1]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [5,4,8,2,1,6,7,3]=>[5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[[1,2,6,8],[3,5,7],[4]]=>15 [7,8,2,4,1,5,6,3]=>[2,1,7,4,5,8,6,3]=>[3,6,8,5,4,7,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [6,2,3,5,1,7,8,4]=>[6,2,3,1,5,7,8,4]=>[4,8,7,5,1,3,2,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [8,5,3,2,1,6,7,4]=>[3,2,1,5,6,8,7,4]=>[4,7,8,6,5,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [2,6,4,3,1,7,8,5]=>[6,2,4,3,7,8,1,5]=>[5,1,8,7,3,4,2,6]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [2,7,5,1,3,6,8,4]=>[2,1,5,7,6,8,3,4]=>[4,3,8,6,7,5,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [2,8,1,5,3,6,7,4]=>[2,1,5,8,6,7,3,4]=>[4,3,7,6,8,5,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [3,8,1,5,2,6,7,4]=>[3,1,5,6,8,7,2,4]=>[4,2,7,8,6,5,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [5,4,3,1,2,7,8,6]=>[1,5,4,3,7,8,2,6]=>[6,2,8,7,3,4,5,1]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [7,1,5,2,3,6,8,4]=>[1,2,3,7,5,6,8,4]=>[4,8,6,5,7,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>11 [8,1,2,5,3,6,7,4]=>[1,2,3,8,5,6,7,4]=>[4,7,6,5,8,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>11 [8,4,1,6,3,7,2,5]=>[4,1,8,3,6,2,7,5]=>[5,7,2,6,3,8,1,4]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [6,3,5,8,1,7,2,4]=>[6,3,5,1,8,2,7,4]=>[4,7,2,8,1,5,3,6]=>[[1,2,4],[3,6,8],[5,7]]=>16 [6,7,5,3,8,2,1,4]=>[6,3,7,5,2,1,8,4]=>[4,8,1,2,5,7,3,6]=>[[1,2,5,6],[3,4,8],[7]]=>20 [6,5,2,1,4,8,7,3]=>[2,6,1,5,8,4,7,3]=>[3,7,4,8,5,1,6,2]=>[[1,2,4,7],[3,5],[6,8]]=>14 [5,2,6,8,3,7,1,4]=>[5,6,8,2,3,1,7,4]=>[4,7,1,3,2,8,6,5]=>[[1,2,6],[3,4,7],[5,8]]=>15 [4,2,5,8,6,7,1,3]=>[2,8,4,5,6,1,7,3]=>[3,7,1,6,5,4,8,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>14 [5,8,6,3,4,1,7,2]=>[5,3,1,8,6,4,7,2]=>[2,7,4,6,8,1,3,5]=>[[1,2,4,5],[3,7,8],[6]]=>19 [6,3,4,1,5,8,7,2]=>[3,1,4,6,8,5,7,2]=>[2,7,5,8,6,4,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [5,4,6,1,7,2,3,8]=>[1,5,4,6,2,7,3,8]=>[8,3,7,2,6,4,5,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [7,5,4,1,8,6,2,3]=>[5,1,4,7,2,8,6,3]=>[3,6,8,2,7,4,1,5]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [3,7,2,4,1,8,6,5]=>[3,2,4,7,8,6,1,5]=>[5,1,6,8,7,4,2,3]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [2,4,7,8,5,1,3,6]=>[7,4,8,5,2,1,3,6]=>[6,3,1,2,5,8,4,7]=>[[1,4,5,6],[2,7,8],[3]]=>13 [7,8,3,4,1,2,6,5]=>[3,1,4,2,7,8,6,5]=>[5,6,8,7,2,4,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [2,5,3,8,4,1,6,7]=>[2,8,5,3,4,1,6,7]=>[7,6,1,4,3,5,8,2]=>[[1,4,6,7],[2],[3],[5],[8]]=>10 [8,2,1,7,4,6,5,3]=>[2,8,7,6,1,4,5,3]=>[3,5,4,1,6,7,8,2]=>[[1,2,5,6,7],[3,8],[4]]=>16 [5,7,6,8,1,3,4,2]=>[5,7,1,6,3,8,4,2]=>[2,4,8,3,6,1,7,5]=>[[1,2,3,7],[4,5],[6,8]]=>19 [3,6,5,1,7,4,8,2]=>[3,6,5,7,1,4,8,2]=>[2,8,4,1,7,5,6,3]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [5,3,7,6,8,4,2,1]=>[7,3,5,6,8,4,2,1]=>[1,2,4,8,6,5,3,7]=>[[1,2,3,4,8],[5],[6],[7]]=>19 [3,1,7,4,5,6,2,8]=>[1,3,7,4,5,6,2,8]=>[8,2,6,5,4,7,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>9 [8,1,7,2,4,3,5,6]=>[4,1,2,3,8,5,7,6]=>[6,7,5,8,3,2,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [1,3,7,2,4,6,5,8]=>[1,7,3,6,2,4,5,8]=>[8,5,4,2,6,3,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [1,8,3,7,4,2,5,6]=>[1,8,3,4,2,7,5,6]=>[6,5,7,2,4,3,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [3,2,1,7,4,6,5,8]=>[7,3,2,6,1,4,5,8]=>[8,5,4,1,6,2,3,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [3,2,6,5,1,7,8,4]=>[6,3,5,2,7,8,1,4]=>[4,1,8,7,2,5,3,6]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [3,2,8,6,7,4,1,5]=>[6,8,7,3,2,4,1,5]=>[5,1,4,2,3,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>15 [4,3,8,6,7,2,1,5]=>[4,8,6,7,3,2,1,5]=>[5,1,2,3,7,6,8,4]=>[[1,3,4,5,7],[2,6],[8]]=>17 [4,3,6,2,8,7,1,5]=>[4,6,8,3,7,2,1,5]=>[5,1,2,7,3,8,6,4]=>[[1,3,4,6],[2,5,7],[8]]=>14 [3,2,7,8,6,4,5,1]=>[7,8,6,3,2,4,5,1]=>[1,5,4,2,3,6,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>16 [3,2,7,5,6,8,4,1]=>[3,7,5,6,8,2,4,1]=>[1,4,2,8,6,5,7,3]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [5,7,8,6,3,2,4,1]=>[7,8,5,3,2,6,4,1]=>[1,4,6,2,3,5,8,7]=>[[1,2,3,6,7],[4,5,8]]=>22 [6,5,4,2,1,7,8,3]=>[2,1,6,5,4,7,8,3]=>[3,8,7,4,5,6,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [4,1,6,5,2,7,8,3]=>[6,4,1,2,5,7,8,3]=>[3,8,7,5,2,1,4,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [5,4,1,6,7,2,8,3]=>[5,1,4,6,2,7,8,3]=>[3,8,7,2,6,4,1,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [5,2,6,3,8,7,1,4]=>[5,8,2,3,6,1,7,4]=>[4,7,1,6,3,2,8,5]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [8,6,1,7,3,4,2,5]=>[3,6,4,1,2,8,7,5]=>[5,7,8,2,1,4,6,3]=>[[1,2,3],[4,6,7],[5,8]]=>18 [1,8,3,6,7,4,2,5]=>[6,1,8,7,3,4,2,5]=>[5,2,4,3,7,8,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [1,6,3,5,2,7,8,4]=>[6,5,1,3,7,8,2,4]=>[4,2,8,7,3,1,5,6]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [1,5,7,3,2,6,4,8]=>[5,1,7,3,6,2,4,8]=>[8,4,2,6,3,7,1,5]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [8,1,6,7,2,4,3,5]=>[8,1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [6,1,4,8,2,7,3,5]=>[4,6,1,8,2,3,7,5]=>[5,7,3,2,8,1,6,4]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [6,2,4,8,3,7,1,5]=>[4,6,8,2,3,1,7,5]=>[5,7,1,3,2,8,6,4]=>[[1,2,6],[3,4,7],[5,8]]=>15 [7,1,5,6,8,2,4,3]=>[5,1,7,6,8,2,4,3]=>[3,4,2,8,6,7,1,5]=>[[1,2,4,6],[3,5],[7,8]]=>16 [1,6,7,3,5,4,8,2]=>[3,6,7,5,4,8,1,2]=>[2,1,8,4,5,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [1,7,3,5,6,8,4,2]=>[3,7,5,6,8,4,1,2]=>[2,1,4,8,6,5,7,3]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [1,7,8,3,6,4,5,2]=>[7,3,4,8,6,5,1,2]=>[2,1,5,6,8,4,3,7]=>[[1,3,4,5],[2,6,8],[7]]=>16 [1,8,7,6,4,5,2,3]=>[4,1,8,7,6,5,2,3]=>[3,2,5,6,7,8,1,4]=>[[1,3,4,5,6],[2,8],[7]]=>19 [8,2,7,4,6,5,1,3]=>[8,2,7,6,4,1,5,3]=>[3,5,1,4,6,7,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>20 [2,8,5,7,6,4,1,3]=>[8,5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5,8]=>[[1,3,4,5,6,8],[2,7]]=>19 [6,7,8,5,3,1,4,2]=>[6,1,7,3,8,5,4,2]=>[2,4,5,8,3,7,1,6]=>[[1,2,3,4],[5,6],[7,8]]=>22 [1,6,3,2,5,4,7,8]=>[1,6,3,5,2,4,7,8]=>[8,7,4,2,5,3,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [1,5,4,2,6,3,7,8]=>[1,5,4,6,2,3,7,8]=>[8,7,3,2,6,4,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [1,2,6,4,3,5,7,8]=>[6,1,4,2,3,5,7,8]=>[8,7,5,3,2,4,1,6]=>[[1,6,8],[2],[3],[4],[5],[7]]=>4 [1,3,7,6,2,8,5,4]=>[3,7,6,8,5,1,2,4]=>[4,2,1,5,8,6,7,3]=>[[1,4,5,7],[2,6],[3,8]]=>11 [1,7,6,2,8,4,3,5]=>[1,7,2,6,8,4,3,5]=>[5,3,4,8,6,2,7,1]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [1,5,2,8,4,3,7,6]=>[5,1,8,4,7,2,3,6]=>[6,3,2,7,4,8,1,5]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [1,2,8,4,3,6,5,7]=>[1,8,2,4,6,3,5,7]=>[7,5,3,6,4,2,8,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [1,7,3,5,2,8,6,4]=>[7,1,5,8,3,6,2,4]=>[4,2,6,3,8,5,1,7]=>[[1,3,5,8],[2,4,6],[7]]=>11 [1,5,8,3,2,7,4,6]=>[1,8,5,7,3,2,4,6]=>[6,4,2,3,7,5,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [1,4,5,8,2,6,3,7]=>[4,1,8,5,6,2,3,7]=>[7,3,2,6,5,8,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [1,4,8,6,5,2,7,3]=>[8,4,1,6,5,7,2,3]=>[3,2,7,5,6,1,4,8]=>[[1,3,5,8],[2,4],[6,7]]=>13 [1,3,8,2,6,5,4,7]=>[8,1,6,3,5,2,4,7]=>[7,4,2,5,3,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [1,5,2,7,6,4,8,3]=>[7,5,6,1,4,8,2,3]=>[3,2,8,4,1,6,5,7]=>[[1,3,6,8],[2,4],[5,7]]=>10 [1,2,4,3,8,7,5,6]=>[8,7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [1,3,8,6,2,4,5,7]=>[8,1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [1,3,8,5,4,2,6,7]=>[8,1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>9 [1,7,2,4,8,6,5,3]=>[7,8,1,6,4,5,2,3]=>[3,2,5,4,6,1,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>12 [1,6,5,3,2,8,7,4]=>[6,1,5,8,3,7,2,4]=>[4,2,7,3,8,5,1,6]=>[[1,3,5,8],[2,4,6],[7]]=>11 [8,1,3,4,6,5,2,7]=>[6,3,4,5,1,2,8,7]=>[7,8,2,1,5,4,3,6]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [8,3,1,4,6,5,2,7]=>[6,1,3,4,5,2,8,7]=>[7,8,2,5,4,3,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [5,8,3,1,2,6,4,7]=>[1,3,2,5,8,6,4,7]=>[7,4,6,8,5,2,3,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [4,8,1,7,5,2,3,6]=>[4,1,8,2,7,5,3,6]=>[6,3,5,7,2,8,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [8,4,1,3,5,6,2,7]=>[4,1,3,5,6,2,8,7]=>[7,8,2,6,5,3,1,4]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [4,8,7,1,5,2,3,6]=>[4,1,2,8,7,5,3,6]=>[6,3,5,7,8,2,1,4]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [7,6,8,4,1,3,2,5]=>[7,1,6,4,3,2,8,5]=>[5,8,2,3,4,6,1,7]=>[[1,2,5,6,8],[3,4],[7]]=>20 [4,8,2,7,5,1,3,6]=>[4,8,2,1,7,5,3,6]=>[6,3,5,7,1,2,8,4]=>[[1,3,4,7],[2,6,8],[5]]=>16 [7,6,8,4,1,5,2,3]=>[7,1,6,4,2,8,5,3]=>[3,5,8,2,4,6,1,7]=>[[1,2,3,8],[4,5,6],[7]]=>21 [8,7,6,1,5,2,3,4]=>[1,2,8,3,7,6,5,4]=>[4,5,6,7,3,8,2,1]=>[[1,2,3,4,6],[5],[7],[8]]=>21 [8,6,2,5,3,4,7,1]=>[2,6,3,5,4,8,7,1]=>[1,7,8,4,5,3,6,2]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [8,6,5,1,3,4,7,2]=>[1,6,3,5,4,8,7,2]=>[2,7,8,4,5,3,6,1]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [8,7,5,1,3,6,2,4]=>[3,5,1,2,8,7,6,4]=>[4,6,7,8,2,1,5,3]=>[[1,2,3,4],[5,7],[6,8]]=>20 [8,7,1,5,3,6,2,4]=>[1,8,3,5,2,7,6,4]=>[4,6,7,2,5,3,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [8,6,1,3,5,4,7,2]=>[6,1,5,3,4,8,7,2]=>[2,7,8,4,3,5,1,6]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [7,3,8,2,5,4,6,1]=>[3,7,5,2,4,8,6,1]=>[1,6,8,4,2,5,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>18 [8,4,2,5,3,7,6,1]=>[2,4,5,8,3,7,6,1]=>[1,6,7,3,8,5,4,2]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [7,4,8,2,6,3,5,1]=>[7,4,2,8,3,6,5,1]=>[1,5,6,3,8,2,4,7]=>[[1,2,3,5],[4,7,8],[6]]=>20 [8,7,3,1,6,4,2,5]=>[3,8,1,4,2,7,6,5]=>[5,6,7,2,4,1,8,3]=>[[1,2,3,7],[4,5],[6,8]]=>19 [8,7,3,1,6,4,5,2]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>20 [8,7,3,1,4,6,5,2]=>[8,1,3,4,7,6,5,2]=>[2,5,6,7,4,3,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>19 [8,4,3,2,7,5,6,1]=>[4,8,3,2,5,7,6,1]=>[1,6,7,5,2,3,8,4]=>[[1,2,3,7],[4,6,8],[5]]=>18 [6,4,1,7,8,5,3,2]=>[1,6,7,8,4,5,3,2]=>[2,3,5,4,8,7,6,1]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [7,6,3,4,1,8,5,2]=>[3,1,4,7,6,8,5,2]=>[2,5,8,6,7,4,1,3]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [8,7,3,1,6,2,5,4]=>[3,8,1,7,2,6,5,4]=>[4,5,6,2,7,1,8,3]=>[[1,2,3,5,7],[4,8],[6]]=>19 [7,8,2,4,6,5,1,3]=>[2,7,8,4,1,6,5,3]=>[3,5,6,1,4,8,7,2]=>[[1,2,3,6],[4,5,7],[8]]=>20 [8,7,3,2,6,1,5,4]=>[8,3,2,7,1,6,5,4]=>[4,5,6,1,7,2,3,8]=>[[1,2,3,5,8],[4,6,7]]=>20 [5,3,1,7,6,4,2,8]=>[7,1,3,5,6,4,2,8]=>[8,2,4,6,5,3,1,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>12 [7,5,3,2,1,6,4,8]=>[3,2,1,5,7,6,4,8]=>[8,4,6,7,5,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [7,6,5,3,1,4,2,8]=>[1,3,7,6,5,4,2,8]=>[8,2,4,5,6,7,3,1]=>[[1,3,4,5,6],[2],[7],[8]]=>18 [1,8,7,6,4,2,5,3]=>[1,4,8,7,6,5,2,3]=>[3,2,5,6,7,8,4,1]=>[[1,3,4,5,6],[2,7],[8]]=>18 [8,4,6,7,5,3,2,1]=>[4,8,6,7,5,3,2,1]=>[1,2,3,5,7,6,8,4]=>[[1,2,3,4,5,7],[6],[8]]=>24 [1,4,8,6,7,5,3,2]=>[6,8,7,4,5,3,1,2]=>[2,1,3,5,4,7,8,6]=>[[1,3,4,6,7],[2,5,8]]=>16 [7,3,8,5,6,4,2,1]=>[7,3,8,5,6,4,2,1]=>[1,2,4,6,5,8,3,7]=>[[1,2,3,4,6],[5,8],[7]]=>22 [7,8,2,5,6,4,3,1]=>[7,2,8,5,6,4,3,1]=>[1,3,4,6,5,8,2,7]=>[[1,2,3,4,6],[5,8],[7]]=>22 [7,6,2,5,8,4,3,1]=>[7,6,2,5,8,4,3,1]=>[1,3,4,8,5,2,6,7]=>[[1,2,3,4,7,8],[5],[6]]=>21 [7,1,3,6,8,5,4,2]=>[7,6,8,1,5,3,4,2]=>[2,4,3,5,1,8,6,7]=>[[1,2,4,6,8],[3,7],[5]]=>16 [1,8,2,7,5,6,4,3]=>[5,8,7,6,1,4,2,3]=>[3,2,4,1,6,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>15 [7,2,8,6,4,5,3,1]=>[7,2,8,6,4,5,3,1]=>[1,3,5,4,6,8,2,7]=>[[1,2,3,5,6],[4,8],[7]]=>21 [8,1,7,6,4,5,3,2]=>[4,8,7,6,5,1,3,2]=>[2,3,1,5,6,7,8,4]=>[[1,2,4,5,6,7],[3,8]]=>21 [7,1,8,6,4,5,3,2]=>[7,4,8,6,5,1,3,2]=>[2,3,1,5,6,8,4,7]=>[[1,2,4,5,6],[3,7,8]]=>20 [1,6,2,5,4,3,7,8]=>[6,5,1,4,2,3,7,8]=>[8,7,3,2,4,1,5,6]=>[[1,5,7,8],[2],[3],[4],[6]]=>7 [1,6,2,7,4,5,3,8]=>[6,1,7,4,5,2,3,8]=>[8,3,2,5,4,7,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [1,7,2,8,4,3,6,5]=>[7,1,2,8,4,6,3,5]=>[5,3,6,4,8,2,1,7]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [1,6,2,7,4,3,5,8]=>[1,6,7,2,4,3,5,8]=>[8,5,3,4,2,7,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [1,7,2,5,4,6,3,8]=>[7,1,5,4,6,2,3,8]=>[8,3,2,6,4,5,1,7]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [1,2,8,3,4,7,5,6]=>[1,8,2,3,7,4,5,6]=>[6,5,4,7,3,2,8,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>7 [6,5,7,2,3,1,8,4]=>[2,6,5,3,1,7,8,4]=>[4,8,7,1,3,5,6,2]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [6,5,7,2,8,1,4,3]=>[2,6,5,1,7,8,4,3]=>[3,4,8,7,1,5,6,2]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [7,3,6,8,2,4,1,5]=>[7,6,3,2,4,1,8,5]=>[5,8,1,4,2,3,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>18 [6,3,7,2,4,1,8,5]=>[6,3,2,4,1,7,8,5]=>[5,8,7,1,4,2,3,6]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [6,5,7,3,8,1,4,2]=>[6,5,3,1,7,8,4,2]=>[2,4,8,7,1,3,5,6]=>[[1,2,3,8],[4,6,7],[5]]=>19 [6,3,7,4,8,2,5,1]=>[6,3,4,7,2,8,5,1]=>[1,5,8,2,7,4,3,6]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [6,3,7,4,8,1,5,2]=>[6,3,4,1,7,8,5,2]=>[2,5,8,7,1,4,3,6]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [6,2,7,4,8,3,5,1]=>[6,4,7,2,3,8,5,1]=>[1,5,8,3,2,7,4,6]=>[[1,2,3,8],[4,6],[5,7]]=>17 [8,7,6,4,2,5,3,1]=>[2,4,8,7,6,5,3,1]=>[1,3,5,6,7,8,4,2]=>[[1,2,3,4,5,6],[7],[8]]=>25 [8,7,4,6,2,3,5,1]=>[2,8,4,3,7,6,5,1]=>[1,5,6,7,3,4,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>23 [6,8,4,5,7,3,2,1]=>[4,8,6,5,7,3,2,1]=>[1,2,3,7,5,6,8,4]=>[[1,2,3,4,6,7],[5],[8]]=>23 [4,8,7,1,6,3,5,2]=>[8,4,1,7,6,3,5,2]=>[2,5,3,6,7,1,4,8]=>[[1,2,4,5,8],[3,7],[6]]=>19 [5,6,4,2,1,7,8,3]=>[5,2,1,6,4,7,8,3]=>[3,8,7,4,6,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [6,7,5,1,4,3,8,2]=>[6,7,1,5,4,3,8,2]=>[2,8,3,4,5,1,7,6]=>[[1,2,4,5,7],[3,8],[6]]=>18 [2,7,6,8,3,5,1,4]=>[2,7,6,8,5,3,1,4]=>[4,1,3,5,8,6,7,2]=>[[1,3,4,5,7],[2,6],[8]]=>17 [4,8,5,6,2,3,1,7]=>[4,5,2,8,6,3,1,7]=>[7,1,3,6,8,2,5,4]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [2,6,8,1,3,5,4,7]=>[2,8,1,6,5,3,4,7]=>[7,4,3,5,6,1,8,2]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [7,2,1,5,3,8,6,4]=>[2,1,7,8,3,5,6,4]=>[4,6,5,3,8,7,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [3,2,7,1,6,8,5,4]=>[3,7,6,8,2,5,1,4]=>[4,1,5,2,8,6,7,3]=>[[1,3,5,7],[2,4,6],[8]]=>12 [5,8,2,7,6,1,3,4]=>[8,5,2,1,7,3,6,4]=>[4,6,3,7,1,2,5,8]=>[[1,2,4,8],[3,6,7],[5]]=>18 [8,6,7,1,3,5,2,4]=>[3,6,1,2,8,7,5,4]=>[4,5,7,8,2,1,6,3]=>[[1,2,3,4],[5,7],[6,8]]=>20 [5,2,1,3,6,7,4,8]=>[2,1,3,5,6,7,4,8]=>[8,4,7,6,5,3,1,2]=>[[1,3],[2,8],[4],[5],[6],[7]]=>7 [7,2,1,8,6,3,5,4]=>[7,2,8,6,1,3,5,4]=>[4,5,3,1,6,8,2,7]=>[[1,2,5,6],[3,7,8],[4]]=>15 [6,2,7,1,4,8,3,5]=>[2,6,4,7,1,3,8,5]=>[5,8,3,1,7,4,6,2]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [4,3,6,8,7,2,1,5]=>[8,4,6,7,3,2,1,5]=>[5,1,2,3,7,6,4,8]=>[[1,3,4,5,8],[2,6],[7]]=>16 [6,2,8,1,4,7,3,5]=>[2,6,8,4,1,3,7,5]=>[5,7,3,1,4,8,6,2]=>[[1,2,6],[3,5,7],[4,8]]=>14 [8,2,3,6,7,1,4,5]=>[8,2,6,3,1,4,7,5]=>[5,7,4,1,3,6,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [4,2,3,1,5,8,6,7]=>[2,4,8,3,1,5,6,7]=>[7,6,5,1,3,8,4,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [4,2,1,3,5,6,7,8,9]=>[2,1,4,3,5,6,7,8,9]=>[9,8,7,6,5,3,4,1,2]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>4 [8,6,5,4,3,2,1,7,9]=>[6,5,4,3,2,1,8,7,9]=>[9,7,8,1,2,3,4,5,6]=>[[1,3,6,7,8,9],[2,5],[4]]=>22 [4,2,1,3,5,6,7,8,9,10]=>[2,1,4,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,4,1,2]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>4 [2,4,8,7,5,3,1,6]=>[4,8,7,5,2,3,1,6]=>[6,1,3,2,5,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>15 [2,6,5,1,4,3,8,7]=>[2,6,5,4,8,1,3,7]=>[7,3,1,8,4,5,6,2]=>[[1,4,6,7],[2,5],[3,8]]=>10 [6,5,1,2,4,3,8,7]=>[6,1,2,5,4,8,3,7]=>[7,3,8,4,5,2,1,6]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [4,6,8,7,5,3,1,2]=>[8,6,7,4,1,5,3,2]=>[2,3,5,1,4,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>21 [6,8,7,5,3,1,4,2]=>[1,8,6,3,7,5,4,2]=>[2,4,5,7,3,6,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>23 [8,7,5,6,3,1,4,2]=>[1,5,3,8,7,6,4,2]=>[2,4,6,7,8,3,5,1]=>[[1,2,3,4,5],[6,7],[8]]=>24 [8,7,3,4,1,2,6,5]=>[3,1,4,8,2,7,6,5]=>[5,6,7,2,8,4,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>18 [8,7,3,1,6,5,2,4]=>[8,3,1,7,2,6,5,4]=>[4,5,6,2,7,1,3,8]=>[[1,2,3,5,8],[4,7],[6]]=>20 [8,7,3,2,6,5,1,4]=>[8,3,7,2,1,6,5,4]=>[4,5,6,1,2,7,3,8]=>[[1,2,3,6,8],[4,5,7]]=>21 [2,8,7,3,4,6,5,1]=>[8,2,3,7,6,4,5,1]=>[1,5,4,6,7,3,2,8]=>[[1,2,4,5,8],[3],[6],[7]]=>17 [2,8,7,1,6,5,3,4]=>[8,7,2,1,6,5,3,4]=>[4,3,5,6,1,2,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>17 [8,7,1,2,6,5,3,4]=>[1,8,7,2,3,6,5,4]=>[4,5,6,3,2,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>18 [8,7,1,2,4,3,6,5]=>[4,8,1,2,3,7,6,5]=>[5,6,7,3,2,1,8,4]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [2,1,8,7,3,4,6,5]=>[2,8,1,7,6,3,4,5]=>[5,4,3,6,7,1,8,2]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [8,7,5,1,2,4,3,6]=>[5,1,2,4,3,8,7,6]=>[6,7,8,3,4,2,1,5]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [2,8,7,3,4,1,6,5]=>[2,3,4,8,7,6,1,5]=>[5,1,6,7,8,4,3,2]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [2,8,7,3,1,4,6,5]=>[2,3,8,1,7,6,4,5]=>[5,4,6,7,1,8,3,2]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [2,8,7,5,6,3,1,4]=>[5,2,8,7,6,3,1,4]=>[4,1,3,6,7,8,2,5]=>[[1,3,4,5,6],[2,8],[7]]=>19 [2,8,7,5,3,1,6,4]=>[2,5,3,8,7,6,1,4]=>[4,1,6,7,8,3,5,2]=>[[1,3,4,5],[2,6,7],[8]]=>17 [2,8,7,5,3,6,4,1]=>[2,5,8,7,6,3,4,1]=>[1,4,3,6,7,8,5,2]=>[[1,2,4,5,6],[3,7],[8]]=>19 [2,8,7,5,6,1,4,3]=>[5,2,8,7,6,4,1,3]=>[3,1,4,6,7,8,2,5]=>[[1,3,4,5,6],[2,7,8]]=>19 [6,8,7,5,1,2,4,3]=>[1,6,8,2,7,5,4,3]=>[3,4,5,7,2,8,6,1]=>[[1,2,3,4,6],[5,7],[8]]=>21 [8,7,5,6,1,2,4,3]=>[1,2,5,8,7,6,4,3]=>[3,4,6,7,8,5,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [8,7,1,2,4,6,5,3]=>[8,1,7,2,4,6,5,3]=>[3,5,6,4,2,7,1,8]=>[[1,2,3,6,8],[4],[5],[7]]=>17 [2,4,8,7,3,6,5,1]=>[4,8,7,6,2,3,5,1]=>[1,5,3,2,6,7,8,4]=>[[1,2,5,6,7],[3,8],[4]]=>16 [8,7,2,4,3,6,5,1]=>[4,8,2,3,7,6,5,1]=>[1,5,6,7,3,2,8,4]=>[[1,2,3,4,7],[5,8],[6]]=>20 [8,7,5,3,1,2,6,4]=>[1,3,2,5,8,7,6,4]=>[4,6,7,8,5,2,3,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [8,7,1,4,3,6,5,2]=>[1,8,4,7,3,6,5,2]=>[2,5,6,3,7,4,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>19 [7,1,2,3,5,4,6,8]=>[5,1,2,3,4,7,6,8]=>[8,6,7,4,3,2,1,5]=>[[1,3],[2,8],[4],[5],[6],[7]]=>7 [7,1,2,6,4,5,3,8]=>[1,7,6,2,4,5,3,8]=>[8,3,5,4,2,6,7,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>11 [7,1,2,4,3,5,6,8]=>[4,1,2,3,5,7,6,8]=>[8,6,7,5,3,2,1,4]=>[[1,3],[2,8],[4],[5],[6],[7]]=>7 [7,5,4,2,8,3,1,6]=>[2,5,4,7,3,1,8,6]=>[6,8,1,3,7,4,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [2,5,8,6,1,4,3,7]=>[5,2,8,6,4,1,3,7]=>[7,3,1,4,6,8,2,5]=>[[1,4,5,6],[2,7,8],[3]]=>13 [8,3,6,1,5,2,4,7]=>[3,1,6,5,2,4,8,7]=>[7,8,4,2,5,6,1,3]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [2,5,6,1,8,4,7,3]=>[5,6,2,8,4,7,1,3]=>[3,1,7,4,8,2,6,5]=>[[1,3,5],[2,4,7],[6,8]]=>12 [5,7,2,1,8,4,6,3]=>[2,5,7,1,8,4,6,3]=>[3,6,4,8,1,7,5,2]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [8,4,2,7,1,5,3,6]=>[4,2,8,1,5,3,7,6]=>[6,7,3,5,1,8,2,4]=>[[1,2,6],[3,4,8],[5,7]]=>16 [7,6,3,2,8,4,1,5]=>[3,7,2,6,4,1,8,5]=>[5,8,1,4,6,2,7,3]=>[[1,2,5,7],[3,4],[6,8]]=>18 [7,2,8,5,3,1,4,6]=>[2,7,5,3,1,4,8,6]=>[6,8,4,1,3,5,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [4,7,2,8,3,1,5,6]=>[4,2,7,3,1,8,5,6]=>[6,5,8,1,3,7,2,4]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [8,6,1,3,2,4,5,7]=>[3,1,2,4,6,5,8,7]=>[7,8,5,6,4,2,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>13 [5,8,3,7,4,2,1,6]=>[5,3,8,7,4,2,1,6]=>[6,1,2,4,7,8,3,5]=>[[1,3,4,5,6],[2,8],[7]]=>19 [4,1,7,3,5,8,6,2]=>[7,1,4,8,3,5,6,2]=>[2,6,5,3,8,4,1,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [5,4,8,1,3,2,6,7]=>[8,1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>13 [4,5,8,2,1,3,6,7]=>[4,2,1,8,5,3,6,7]=>[7,6,3,5,8,1,2,4]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [8,1,3,5,2,4,6,7]=>[5,3,1,2,4,6,8,7]=>[7,8,6,4,2,1,3,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [1,8,3,5,7,2,4,6]=>[8,7,3,1,2,5,4,6]=>[6,4,5,2,1,3,7,8]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [8,1,4,7,3,2,6,5]=>[4,3,8,7,1,2,6,5]=>[5,6,2,1,7,8,3,4]=>[[1,2,5,6],[3,7,8],[4]]=>15 [5,8,1,3,2,7,6,4]=>[5,8,1,3,7,2,6,4]=>[4,6,2,7,3,1,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>14 [5,3,7,1,2,8,6,4]=>[3,1,5,7,8,2,6,4]=>[4,6,2,8,7,5,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [8,1,4,2,7,6,3,5]=>[8,4,1,7,2,3,6,5]=>[5,6,3,2,7,1,4,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [1,8,5,7,2,6,4,3]=>[8,1,5,7,6,4,2,3]=>[3,2,4,6,7,5,1,8]=>[[1,3,4,5,8],[2,6],[7]]=>16 [1,5,7,3,6,8,2,4]=>[7,1,5,6,8,3,2,4]=>[4,2,3,8,6,5,1,7]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [1,3,4,7,6,8,2,5]=>[7,6,8,3,4,1,2,5]=>[5,2,1,4,3,8,6,7]=>[[1,4,6,8],[2,5,7],[3]]=>9 [1,2,4,7,8,5,3,6]=>[7,4,8,5,1,2,3,6]=>[6,3,2,1,5,8,4,7]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [5,1,7,3,6,8,2,4]=>[5,7,3,6,1,2,8,4]=>[4,8,2,1,6,3,7,5]=>[[1,2,7],[3,5,8],[4,6]]=>13 [5,8,6,2,4,7,1,3]=>[2,5,8,6,4,1,7,3]=>[3,7,1,4,6,8,5,2]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [3,8,2,6,5,7,1,4]=>[6,3,5,8,7,2,1,4]=>[4,1,2,7,8,5,3,6]=>[[1,3,4,5],[2,6,8],[7]]=>16 [2,8,3,6,7,4,1,5]=>[8,2,6,3,7,4,1,5]=>[5,1,4,7,3,6,2,8]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [8,7,1,6,4,3,2,5]=>[8,4,1,3,2,7,6,5]=>[5,6,7,2,3,1,4,8]=>[[1,2,3,8],[4,5,7],[6]]=>20 [5,8,6,1,7,3,2,4]=>[1,8,5,6,3,2,7,4]=>[4,7,2,3,6,5,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [6,7,1,2,8,4,3,5]=>[6,7,1,2,4,3,8,5]=>[5,8,3,4,2,1,7,6]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [2,1,3,8,6,5,4,7]=>[8,2,6,5,1,3,4,7]=>[7,4,3,1,5,6,2,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [8,2,1,7,5,4,3,6]=>[8,2,5,4,1,3,7,6]=>[6,7,3,1,4,5,2,8]=>[[1,2,6,8],[3,5],[4,7]]=>15 [1,3,2,8,6,5,4,7]=>[8,3,6,5,1,2,4,7]=>[7,4,2,1,5,6,3,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [2,5,7,1,8,4,3,6]=>[7,5,2,8,4,1,3,6]=>[6,3,1,4,8,2,5,7]=>[[1,4,5,8],[2,6,7],[3]]=>12 [5,4,7,6,8,3,1,2]=>[5,7,4,6,1,8,3,2]=>[2,3,8,1,6,4,7,5]=>[[1,2,3,7],[4,5,8],[6]]=>19 [8,4,6,7,5,2,1,3]=>[4,8,6,2,1,7,5,3]=>[3,5,7,1,2,6,8,4]=>[[1,2,3,7],[4,5,6],[8]]=>22 [8,3,7,5,6,2,1,4]=>[3,8,7,5,2,1,6,4]=>[4,6,1,2,5,7,8,3]=>[[1,2,5,6,7],[3,4],[8]]=>21 [2,4,8,6,7,3,1,5]=>[6,8,7,4,2,3,1,5]=>[5,1,3,2,4,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>15 [8,1,7,6,4,3,2,5]=>[8,7,1,4,3,2,6,5]=>[5,6,2,3,4,1,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>19 [5,6,8,1,7,4,3,2]=>[8,1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>19 [1,3,9,8,7,6,5,4,2]=>[9,8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8,9]=>[[1,3,5,6,7,8,9],[2,4]]=>22 [5,6,8,4,1,7,3,2]=>[5,6,1,8,4,7,3,2]=>[2,3,7,4,8,1,6,5]=>[[1,2,3,5],[4,7],[6,8]]=>19 [1,5,8,4,3,7,6,2]=>[5,4,8,7,3,6,1,2]=>[2,1,6,3,7,8,4,5]=>[[1,3,5,6],[2,4,7,8]]=>14 [8,1,7,2,5,6,4,3]=>[1,8,7,5,6,2,4,3]=>[3,4,2,6,5,7,8,1]=>[[1,2,4,6,7],[3,5],[8]]=>17 [8,1,3,5,2,7,6,4]=>[1,8,3,7,2,5,6,4]=>[4,6,5,2,7,3,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [2,7,1,5,4,8,6,3]=>[5,2,4,7,8,6,1,3]=>[3,1,6,8,7,4,2,5]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [8,6,2,4,3,7,5,1]=>[4,2,3,6,8,7,5,1]=>[1,5,7,8,6,3,2,4]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [2,4,1,6,7,5,8,3]=>[4,6,7,2,5,8,1,3]=>[3,1,8,5,2,7,6,4]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [8,1,4,5,6,2,7,3]=>[4,5,1,2,8,6,7,3]=>[3,7,6,8,2,1,5,4]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [8,1,4,7,6,2,5,3]=>[1,8,7,4,6,2,5,3]=>[3,5,2,6,4,7,8,1]=>[[1,2,4,6,7],[3,5],[8]]=>17 [2,5,1,7,8,6,4,3]=>[7,8,2,5,6,4,1,3]=>[3,1,4,6,5,2,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>13 [3,5,6,2,8,7,4,1]=>[5,6,8,3,7,2,4,1]=>[1,4,2,7,3,8,6,5]=>[[1,2,4,6],[3,5,7],[8]]=>15 [2,4,5,1,7,6,3,8]=>[4,5,7,2,6,1,3,8]=>[8,3,1,6,2,7,5,4]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [8,3,2,5,6,7,1,4]=>[3,2,8,5,6,1,7,4]=>[4,7,1,6,5,8,2,3]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [8,4,5,3,7,6,2,1]=>[4,5,8,3,7,6,2,1]=>[1,2,6,7,3,8,5,4]=>[[1,2,3,4,6],[5,7],[8]]=>21 [3,4,5,6,2,8,1,7]=>[3,4,5,6,8,2,1,7]=>[7,1,2,8,6,5,4,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [3,7,4,2,8,5,1,6]=>[3,4,7,2,8,5,1,6]=>[6,1,5,8,2,7,4,3]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [7,2,1,6,3,4,8,5]=>[2,1,7,3,4,6,8,5]=>[5,8,6,4,3,7,1,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [7,3,4,1,6,5,8,2]=>[3,7,1,4,6,5,8,2]=>[2,8,5,6,4,1,7,3]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [3,7,4,2,5,8,6,1]=>[3,4,2,7,8,5,6,1]=>[1,6,5,8,7,2,4,3]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [2,3,5,1,4,8,7,6]=>[5,8,2,3,7,1,4,6]=>[6,4,1,7,3,2,8,5]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [2,7,1,3,8,4,6,5]=>[7,2,8,1,3,6,4,5]=>[5,4,6,3,1,8,2,7]=>[[1,3,6],[2,7,8],[4],[5]]=>10 [3,8,7,1,6,2,5,4]=>[3,8,1,7,6,5,2,4]=>[4,2,5,6,7,1,8,3]=>[[1,3,4,5,7],[2,8],[6]]=>17 [3,7,4,2,1,8,6,5]=>[3,4,2,7,8,6,1,5]=>[5,1,6,8,7,2,4,3]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [8,4,5,7,3,2,6,1]=>[8,4,5,3,2,7,6,1]=>[1,6,7,2,3,5,4,8]=>[[1,2,3,6,8],[4,5],[7]]=>21 [8,3,7,2,4,1,5,6]=>[3,2,4,1,8,5,7,6]=>[6,7,5,8,1,4,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [7,3,4,6,2,1,5,8]=>[7,3,4,2,1,6,5,8]=>[8,5,6,1,2,4,3,7]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [3,4,7,6,1,2,8,5]=>[7,6,3,1,4,8,2,5]=>[5,2,8,4,1,3,6,7]=>[[1,3,7,8],[2,4],[5,6]]=>12 [4,5,8,7,6,1,3,2]=>[4,8,5,7,1,6,3,2]=>[2,3,6,1,7,5,8,4]=>[[1,2,3,5,7],[4,6],[8]]=>19 [8,3,6,7,2,5,1,4]=>[6,3,8,7,2,1,5,4]=>[4,5,1,2,7,8,3,6]=>[[1,2,5,6],[3,4,7,8]]=>20 [8,7,3,5,6,1,4,2]=>[3,1,8,5,7,6,4,2]=>[2,4,6,7,5,8,1,3]=>[[1,2,3,4,6],[5,8],[7]]=>22 [7,6,3,8,1,4,5,2]=>[3,7,1,6,4,8,5,2]=>[2,5,8,4,6,1,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>19 [8,7,3,1,4,5,2,6]=>[1,3,4,5,2,8,7,6]=>[6,7,8,2,5,4,3,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [8,7,3,1,4,5,6,2]=>[1,3,4,5,8,7,6,2]=>[2,6,7,8,5,4,3,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>18 [8,6,4,1,7,5,2,3]=>[4,6,1,2,8,7,5,3]=>[3,5,7,8,2,1,6,4]=>[[1,2,3,4],[5,7],[6,8]]=>20 [8,6,3,1,7,4,5,2]=>[6,1,3,4,8,7,5,2]=>[2,5,7,8,4,3,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [8,5,3,1,6,7,4,2]=>[1,3,5,6,8,7,4,2]=>[2,4,7,8,6,5,3,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>18 [7,4,8,2,6,1,5,3]=>[4,7,2,8,1,6,5,3]=>[3,5,6,1,8,2,7,4]=>[[1,2,3,5],[4,6,7],[8]]=>19 [7,4,5,3,1,2,8,6]=>[4,1,5,3,2,7,8,6]=>[6,8,7,2,3,5,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [8,5,3,6,1,2,7,4]=>[3,1,5,2,6,8,7,4]=>[4,7,8,6,2,5,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [5,6,3,2,1,7,4,8]=>[5,3,2,1,6,7,4,8]=>[8,4,7,6,1,2,3,5]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [8,7,4,1,5,2,3,6]=>[4,1,2,5,3,8,7,6]=>[6,7,8,3,5,2,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [8,7,5,1,2,6,3,4]=>[5,1,2,3,8,7,6,4]=>[4,6,7,8,3,2,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [8,6,4,1,2,7,5,3]=>[1,2,4,6,8,7,5,3]=>[3,5,7,8,6,4,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>18 [8,7,4,1,2,5,3,6]=>[1,2,4,5,3,8,7,6]=>[6,7,8,3,5,4,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [8,7,5,1,2,3,6,4]=>[1,2,3,5,8,7,6,4]=>[4,6,7,8,5,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>18 [1,6,3,8,4,2,5,7]=>[6,1,3,8,4,2,5,7]=>[7,5,2,4,8,3,1,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [1,8,6,4,2,5,3,7]=>[1,2,8,6,4,5,3,7]=>[7,3,5,4,6,8,2,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>13 [8,2,6,4,1,5,7,3]=>[2,1,8,4,6,5,7,3]=>[3,7,5,6,4,8,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [7,8,3,4,6,1,5,2]=>[3,4,1,7,8,6,5,2]=>[2,5,6,8,7,1,4,3]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [4,8,7,5,3,1,6,2]=>[4,1,8,7,5,3,6,2]=>[2,6,3,5,7,8,1,4]=>[[1,2,4,5,6],[3,8],[7]]=>20 [6,1,4,8,3,2,5,7]=>[6,4,3,1,2,8,5,7]=>[7,5,8,2,1,3,4,6]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [4,1,8,5,3,2,6,7]=>[1,8,4,5,3,2,6,7]=>[7,6,2,3,5,4,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>11 [8,1,6,4,2,7,3,5]=>[1,2,8,4,6,3,7,5]=>[5,7,3,6,4,8,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [3,1,7,4,2,5,8,6]=>[1,3,7,4,8,2,5,6]=>[6,5,2,8,4,7,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [1,2,7,4,3,5,6,8]=>[7,1,2,4,3,5,6,8]=>[8,6,5,3,4,2,1,7]=>[[1,5,8],[2],[3],[4],[6],[7]]=>5 [4,5,2,1,6,8,7,3]=>[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [7,2,8,6,5,1,4,3]=>[7,2,8,6,5,1,4,3]=>[3,4,1,5,6,8,2,7]=>[[1,2,4,5,6],[3,7,8]]=>20 [8,2,1,6,5,3,4,7]=>[6,5,2,1,3,4,8,7]=>[7,8,4,3,1,2,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [3,8,1,5,6,2,4,7]=>[3,8,1,5,2,6,4,7]=>[7,4,6,2,5,1,8,3]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [3,2,8,1,6,4,5,7]=>[3,8,2,1,6,4,5,7]=>[7,5,4,6,1,2,8,3]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [5,2,1,3,7,6,4,8]=>[2,7,1,3,5,6,4,8]=>[8,4,6,5,3,1,7,2]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [5,4,1,2,8,3,7,6]=>[5,1,4,8,2,7,3,6]=>[6,3,7,2,8,4,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [5,8,4,1,2,3,7,6]=>[1,2,5,4,8,7,3,6]=>[6,3,7,8,4,5,2,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [7,1,2,5,3,4,6,8]=>[1,5,2,3,4,7,6,8]=>[8,6,7,4,3,2,5,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>8 [1,6,7,3,2,8,4,5]=>[6,1,3,7,2,8,4,5]=>[5,4,8,2,7,3,1,6]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [1,8,6,3,2,7,4,5]=>[3,6,1,2,8,7,4,5]=>[5,4,7,8,2,1,6,3]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [1,5,3,7,2,8,4,6]=>[1,5,7,8,3,2,4,6]=>[6,4,2,3,8,7,5,1]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [1,5,7,3,8,2,4,6]=>[1,7,5,8,3,2,4,6]=>[6,4,2,3,8,5,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [1,8,5,2,6,4,3,7]=>[1,8,5,6,2,4,3,7]=>[7,3,4,2,6,5,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [1,8,6,2,7,4,5,3]=>[8,1,6,4,7,5,2,3]=>[3,2,5,7,4,6,1,8]=>[[1,3,4,8],[2,5,6],[7]]=>15 [1,5,6,2,8,4,3,7]=>[5,1,6,8,4,2,3,7]=>[7,3,2,4,8,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [3,6,1,7,4,8,5,2]=>[6,7,3,8,1,4,5,2]=>[2,5,4,1,8,3,7,6]=>[[1,2,5],[3,6,7],[4,8]]=>13 [2,4,6,3,1,7,5,8]=>[6,4,2,3,7,1,5,8]=>[8,5,1,7,3,2,4,6]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [3,4,8,6,5,7,2,1]=>[8,3,6,4,5,7,2,1]=>[1,2,7,5,4,6,3,8]=>[[1,2,3,6,8],[4],[5],[7]]=>17 [1,2,4,7,3,6,5,8]=>[4,7,6,1,2,3,5,8]=>[8,5,3,2,1,6,7,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [1,2,5,7,4,3,6,8]=>[7,5,4,1,2,3,6,8]=>[8,6,3,2,1,4,5,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [1,2,5,7,4,6,8,3]=>[7,5,4,6,8,1,2,3]=>[3,2,1,8,6,4,5,7]=>[[1,4,7,8],[2,5],[3,6]]=>8 [1,2,4,7,6,8,3,5]=>[7,6,8,4,1,2,3,5]=>[5,3,2,1,4,8,6,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [2,3,6,8,1,7,4,5]=>[6,8,2,7,3,1,4,5]=>[5,4,1,3,7,2,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [2,3,7,1,8,6,4,5]=>[7,8,2,6,3,1,4,5]=>[5,4,1,3,6,2,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [1,3,6,5,7,2,8,4]=>[6,5,7,3,8,1,2,4]=>[4,2,1,8,3,7,5,6]=>[[1,4,6,8],[2,5],[3,7]]=>9 [1,4,3,6,7,8,2,5]=>[4,6,7,8,3,1,2,5]=>[5,2,1,3,8,7,6,4]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [2,6,1,7,8,5,3,4]=>[6,7,8,2,1,5,3,4]=>[4,3,5,1,2,8,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>13 [2,4,8,5,6,7,1,3]=>[4,5,8,6,7,2,1,3]=>[3,1,2,7,6,8,5,4]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [3,5,8,6,2,7,4,1]=>[5,8,6,3,7,2,4,1]=>[1,4,2,7,3,6,8,5]=>[[1,2,4,6,7],[3,5],[8]]=>17 [7,8,2,5,1,6,4,3]=>[2,7,1,8,5,6,4,3]=>[3,4,6,5,8,1,7,2]=>[[1,2,3,5],[4,7],[6,8]]=>19 [7,8,1,4,6,3,5,2]=>[7,8,1,4,3,6,5,2]=>[2,5,6,3,4,1,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>19 [1,2,4,7,3,6,8,5]=>[4,7,6,8,1,2,3,5]=>[5,3,2,1,8,6,7,4]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [1,2,5,7,4,6,3,8]=>[7,5,4,6,1,2,3,8]=>[8,3,2,1,6,4,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,2,4,7,6,3,5,8]=>[7,6,4,1,2,3,5,8]=>[8,5,3,2,1,4,6,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [1,3,8,6,7,5,4,2]=>[6,8,7,5,3,4,1,2]=>[2,1,4,3,5,7,8,6]=>[[1,3,5,6,7],[2,4,8]]=>15 [3,2,1,6,8,4,7,5]=>[8,3,6,2,7,1,4,5]=>[5,4,1,7,2,6,3,8]=>[[1,4,6,8],[2,5],[3,7]]=>9 [4,8,3,1,6,5,7,2]=>[1,4,8,3,6,5,7,2]=>[2,7,5,6,3,8,4,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [6,2,5,8,3,1,7,4]=>[6,5,2,3,8,1,7,4]=>[4,7,1,8,3,2,5,6]=>[[1,2,4,8],[3,5,7],[6]]=>15 [6,5,8,4,2,1,7,3]=>[6,2,1,8,5,4,7,3]=>[3,7,4,5,8,1,2,6]=>[[1,2,4,5],[3,7,8],[6]]=>19 [1,7,8,6,5,4,2,3]=>[7,1,8,6,5,4,2,3]=>[3,2,4,5,6,8,1,7]=>[[1,3,4,5,6],[2,8],[7]]=>19 [6,8,7,4,5,1,3,2]=>[1,8,6,4,7,5,3,2]=>[2,3,5,7,4,6,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>23 [6,1,3,5,4,2,8,7]=>[6,1,5,3,4,8,2,7]=>[7,2,8,4,3,5,1,6]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [2,1,5,8,6,4,7,3]=>[5,8,6,2,4,7,1,3]=>[3,1,7,4,2,6,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>11 [4,2,8,5,6,3,7,1]=>[8,4,2,5,6,3,7,1]=>[1,7,3,6,5,2,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [5,3,7,2,6,8,4,1]=>[3,5,7,2,6,8,4,1]=>[1,4,8,6,2,7,5,3]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [8,7,4,6,1,3,5,2]=>[4,1,8,3,7,6,5,2]=>[2,5,6,7,3,8,1,4]=>[[1,2,3,4,6],[5,8],[7]]=>22 [5,7,2,3,4,6,8,1]=>[2,3,7,5,4,6,8,1]=>[1,8,6,4,5,7,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>14 [1,8,7,3,2,5,6,4]=>[1,3,8,5,7,6,2,4]=>[4,2,6,7,5,8,3,1]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [5,7,1,2,3,8,6,4]=>[1,2,5,7,8,3,6,4]=>[4,6,3,8,7,5,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [4,2,7,1,6,8,5,3]=>[7,2,4,6,8,1,5,3]=>[3,5,1,8,6,4,2,7]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [4,1,2,7,5,8,6,3]=>[1,7,8,2,4,5,6,3]=>[3,6,5,4,2,8,7,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [6,3,4,7,8,1,5,2]=>[3,4,6,1,7,8,5,2]=>[2,5,8,7,1,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [6,7,8,3,4,1,5,2]=>[6,3,1,7,4,8,5,2]=>[2,5,8,4,7,1,3,6]=>[[1,2,3],[4,5,8],[6,7]]=>20 [1,7,8,4,2,5,6,3]=>[1,4,7,5,8,6,2,3]=>[3,2,6,8,5,7,4,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [7,8,6,2,4,1,5,3]=>[7,2,1,4,8,6,5,3]=>[3,5,6,8,4,1,2,7]=>[[1,2,3,4],[5,7,8],[6]]=>21 [7,2,8,4,6,1,5,3]=>[2,7,4,8,6,1,5,3]=>[3,5,1,6,8,4,7,2]=>[[1,2,4,5],[3,6,7],[8]]=>18 [2,8,6,3,1,7,5,4]=>[2,3,6,8,7,5,1,4]=>[4,1,5,7,8,6,3,2]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [3,6,4,7,2,5,8,1]=>[3,6,7,4,2,5,8,1]=>[1,8,5,2,4,7,6,3]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [3,4,6,2,7,5,8,1]=>[6,3,4,7,2,5,8,1]=>[1,8,5,2,7,4,3,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [7,4,2,6,8,1,5,3]=>[7,2,4,1,6,8,5,3]=>[3,5,8,6,1,4,2,7]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [7,4,6,2,8,1,5,3]=>[4,7,2,1,6,8,5,3]=>[3,5,8,6,1,2,7,4]=>[[1,2,3,7],[4,6,8],[5]]=>18 [7,1,5,8,2,3,6,4]=>[1,7,2,5,8,3,6,4]=>[4,6,3,8,5,2,7,1]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [1,7,4,8,2,5,6,3]=>[4,7,1,5,8,6,2,3]=>[3,2,6,8,5,1,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>13 [6,1,8,4,2,3,5,7]=>[1,6,2,4,3,8,5,7]=>[7,5,8,3,4,2,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [7,3,6,2,1,8,5,4]=>[3,2,7,6,8,1,5,4]=>[4,5,1,8,6,7,2,3]=>[[1,2,4,6],[3,5,8],[7]]=>16 [7,4,6,2,1,8,5,3]=>[4,2,7,1,6,8,5,3]=>[3,5,8,6,1,7,2,4]=>[[1,2,3,6],[4,7,8],[5]]=>17 [7,2,4,3,1,6,8,5]=>[4,2,3,7,1,6,8,5]=>[5,8,6,1,7,3,2,4]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [7,2,3,1,6,4,8,5]=>[7,2,3,1,4,6,8,5]=>[5,8,6,4,1,3,2,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [1,5,8,7,3,4,6,2]=>[3,8,7,5,4,6,1,2]=>[2,1,6,4,5,7,8,3]=>[[1,3,5,6,7],[2,4],[8]]=>15 [2,1,8,6,3,4,5,7]=>[2,1,8,3,6,4,5,7]=>[7,5,4,6,3,8,1,2]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [2,4,8,1,7,5,6,3]=>[8,4,2,7,5,6,1,3]=>[3,1,6,5,7,2,4,8]=>[[1,3,5,8],[2,4,7],[6]]=>13 [5,2,1,4,8,3,7,6]=>[8,2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2,8]=>[[1,3,6,8],[2,4],[5,7]]=>10 [6,5,4,7,3,1,8,2]=>[6,5,4,1,7,3,8,2]=>[2,8,3,7,1,4,5,6]=>[[1,2,4,7,8],[3,6],[5]]=>18 [6,2,3,1,4,8,5,7]=>[2,3,6,1,4,8,5,7]=>[7,5,8,4,1,6,3,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>9 [6,7,5,3,2,1,8,4]=>[6,3,2,1,7,5,8,4]=>[4,8,5,7,1,2,3,6]=>[[1,2,4,8],[3,6,7],[5]]=>18 [3,7,1,6,4,5,8,2]=>[7,6,3,1,4,5,8,2]=>[2,8,5,4,1,3,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [3,5,2,1,4,6,7,8]=>[5,3,2,1,4,6,7,8]=>[8,7,6,4,1,2,3,5]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [2,8,1,6,7,5,4,3]=>[6,8,7,2,5,4,1,3]=>[3,1,4,5,2,7,8,6]=>[[1,3,4,6,7],[2,5,8]]=>16 [4,7,8,6,3,1,5,2]=>[7,1,8,6,4,3,5,2]=>[2,5,3,4,6,8,1,7]=>[[1,2,4,5,6],[3,8],[7]]=>20 [1,2,3,4,5,7,9,8,6]=>[9,7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7,9]=>[[1,7,9],[2,8],[3],[4],[5],[6]]=>4 [1,2,3,4,6,9,8,7,5]=>[9,8,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,8,9]=>[[1,6,8,9],[2,7],[3],[4],[5]]=>7 [1,2,3,5,9,8,7,6,4]=>[9,8,7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7,8,9]=>[[1,5,7,8,9],[2,6],[3],[4]]=>11 [1,2,4,9,8,7,6,5,3]=>[9,8,7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7,8,9]=>[[1,4,6,7,8,9],[2,5],[3]]=>16 [1,3,5,7,9,10,8,6,4,2]=>[9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9]=>[[1,3,5,7,9],[2,4,6,8,10]]=>20 [3,1,8,4,5,2,6,7]=>[1,3,4,8,5,2,6,7]=>[7,6,2,5,8,4,3,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>9 [2,3,8,6,4,7,1,5]=>[2,6,8,7,3,4,1,5]=>[5,1,4,3,7,8,6,2]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [6,3,7,8,4,5,1,2]=>[6,7,3,4,1,8,5,2]=>[2,5,8,1,4,3,7,6]=>[[1,2,3],[4,5,7],[6,8]]=>19 [7,4,1,8,2,5,6,3]=>[4,7,1,2,5,8,6,3]=>[3,6,8,5,2,1,7,4]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [3,1,7,2,5,6,8,4]=>[7,3,1,5,6,8,2,4]=>[4,2,8,6,5,1,3,7]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [2,3,7,4,5,1,8,6]=>[2,3,7,4,5,8,1,6]=>[6,1,8,5,4,7,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [6,5,1,7,8,3,4,2]=>[6,5,7,1,3,8,4,2]=>[2,4,8,3,1,7,5,6]=>[[1,2,3,8],[4,6],[5,7]]=>17 [7,3,1,6,2,8,5,4]=>[3,7,1,6,8,2,5,4]=>[4,5,2,8,6,1,7,3]=>[[1,2,4,7],[3,5],[6,8]]=>14 [6,4,1,8,2,7,3,5]=>[4,6,1,2,8,3,7,5]=>[5,7,3,8,2,1,6,4]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [4,8,2,5,3,1,6,7]=>[2,4,5,3,1,8,6,7]=>[7,6,8,1,3,5,4,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>13 [5,1,3,4,8,2,6,7]=>[5,1,8,3,4,2,6,7]=>[7,6,2,4,3,8,1,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [4,6,2,8,1,7,3,5]=>[6,4,8,2,1,7,3,5]=>[5,3,7,1,2,8,4,6]=>[[1,3,6,8],[2,5,7],[4]]=>14 [7,2,3,6,1,8,5,4]=>[2,7,3,6,8,1,5,4]=>[4,5,1,8,6,3,7,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [7,8,2,3,5,1,6,4]=>[7,2,3,1,5,8,6,4]=>[4,6,8,5,1,3,2,7]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [7,8,4,5,1,2,6,3]=>[1,4,2,7,5,8,6,3]=>[3,6,8,5,7,2,4,1]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [6,1,4,5,7,8,2,3]=>[4,6,5,7,1,2,8,3]=>[3,8,2,1,7,5,6,4]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [5,1,3,4,7,2,8,6]=>[1,5,7,3,4,8,2,6]=>[6,2,8,4,3,7,5,1]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [1,2,4,6,8,7,3,5]=>[8,6,7,4,1,2,3,5]=>[5,3,2,1,4,7,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [1,8,3,5,6,2,7,4]=>[1,8,5,6,3,7,2,4]=>[4,2,7,3,6,5,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [4,2,5,1,6,8,7,3]=>[2,4,8,1,5,6,7,3]=>[3,7,6,5,1,8,4,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [8,2,3,5,6,1,7,4]=>[2,3,8,5,1,6,7,4]=>[4,7,6,1,5,8,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [7,1,2,6,8,3,5,4]=>[1,7,6,8,2,3,5,4]=>[4,5,3,2,8,6,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [7,2,5,6,1,8,4,3]=>[5,2,7,6,8,1,4,3]=>[3,4,1,8,6,7,2,5]=>[[1,2,4,6],[3,5,8],[7]]=>16 [4,7,6,8,1,2,5,3]=>[1,7,6,4,8,2,5,3]=>[3,5,2,8,4,6,7,1]=>[[1,2,4,7],[3,5,6],[8]]=>17 [7,8,6,1,3,4,2,5]=>[1,7,3,4,2,8,6,5]=>[5,6,8,2,4,3,7,1]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [7,1,6,2,3,4,8,5]=>[1,2,3,7,4,6,8,5]=>[5,8,6,4,7,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>11 [7,6,2,1,3,4,8,5]=>[2,1,3,4,7,6,8,5]=>[5,8,6,7,4,3,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [3,7,6,8,5,2,4,1]=>[7,6,8,5,3,2,4,1]=>[1,4,2,3,5,8,6,7]=>[[1,2,4,5,6,8],[3,7]]=>20 [3,8,5,4,7,6,2,1]=>[3,8,5,7,4,6,2,1]=>[1,2,6,4,7,5,8,3]=>[[1,2,3,5,7],[4,6],[8]]=>19 [7,8,6,5,1,3,2,4]=>[7,1,3,2,8,6,5,4]=>[4,5,6,8,2,3,1,7]=>[[1,2,3,4],[5,6,8],[7]]=>22 [8,7,1,6,3,2,5,4]=>[1,8,3,7,2,6,5,4]=>[4,5,6,2,7,3,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>19 [7,6,2,4,8,1,5,3]=>[2,7,4,1,6,8,5,3]=>[3,5,8,6,1,4,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [5,7,8,2,6,1,3,4]=>[7,5,2,1,8,3,6,4]=>[4,6,3,8,1,2,5,7]=>[[1,2,4,8],[3,6,7],[5]]=>18 [7,6,1,2,4,3,8,5]=>[4,1,2,3,7,6,8,5]=>[5,8,6,7,3,2,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [6,7,3,1,8,2,5,4]=>[1,3,6,2,7,8,5,4]=>[4,5,8,7,2,6,3,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [6,7,2,1,5,3,8,4]=>[2,6,1,3,7,5,8,4]=>[4,8,5,7,3,1,6,2]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [6,7,2,3,1,4,8,5]=>[2,3,1,6,4,7,8,5]=>[5,8,7,4,6,1,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>13 [4,3,2,8,7,1,6,5]=>[8,4,7,3,2,6,1,5]=>[5,1,6,2,3,7,4,8]=>[[1,3,5,6,8],[2,4,7]]=>14 [4,8,3,2,7,1,6,5]=>[4,8,3,2,7,6,1,5]=>[5,1,6,7,2,3,8,4]=>[[1,3,4,7],[2,5,6,8]]=>16 [5,3,8,7,1,6,4,2]=>[8,3,5,7,1,6,4,2]=>[2,4,6,1,7,5,3,8]=>[[1,2,3,5,8],[4,6],[7]]=>18 [5,8,7,3,1,6,4,2]=>[1,5,8,7,3,6,4,2]=>[2,4,6,3,7,8,5,1]=>[[1,2,3,5,6],[4,7],[8]]=>20 [3,8,7,2,6,5,1,4]=>[8,3,7,6,5,2,1,4]=>[4,1,2,5,6,7,3,8]=>[[1,3,4,5,6,8],[2,7]]=>19 [5,8,4,2,1,7,6,3]=>[2,1,5,8,7,4,6,3]=>[3,6,4,7,8,5,1,2]=>[[1,2,4,5],[3,6],[7,8]]=>17 [5,8,4,7,1,6,3,2]=>[1,5,8,7,4,6,3,2]=>[2,3,6,4,7,8,5,1]=>[[1,2,3,5,6],[4,7],[8]]=>20 [8,6,1,5,4,3,7,2]=>[6,5,4,1,3,8,7,2]=>[2,7,8,3,1,4,5,6]=>[[1,2,3,7,8],[4,6],[5]]=>19 [6,1,5,8,4,7,2,3]=>[6,8,5,4,1,2,7,3]=>[3,7,2,1,4,5,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>16 [5,8,7,2,3,4,6,1]=>[2,3,8,7,5,4,6,1]=>[1,6,4,5,7,8,3,2]=>[[1,2,4,5,6],[3],[7],[8]]=>19 [6,7,4,2,5,8,1,3]=>[2,6,4,7,5,1,8,3]=>[3,8,1,5,7,4,6,2]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [6,7,4,1,2,5,8,3]=>[1,2,6,4,7,5,8,3]=>[3,8,5,7,4,6,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [1,6,8,5,2,4,7,3]=>[8,1,6,5,4,7,2,3]=>[3,2,7,4,5,6,1,8]=>[[1,3,5,6,8],[2,4],[7]]=>14 [1,6,7,4,2,5,8,3]=>[1,6,4,7,5,8,2,3]=>[3,2,8,5,7,4,6,1]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [1,6,7,5,8,3,2,4]=>[6,1,7,5,8,3,2,4]=>[4,2,3,8,5,7,1,6]=>[[1,3,4,6],[2,5],[7,8]]=>15 [3,8,6,5,7,4,1,2]=>[6,5,8,7,3,1,4,2]=>[2,4,1,3,7,8,5,6]=>[[1,2,5,6],[3,4,7,8]]=>20 [2,6,7,4,1,5,8,3]=>[6,4,2,7,5,8,1,3]=>[3,1,8,5,7,2,4,6]=>[[1,3,5,8],[2,4,7],[6]]=>13 [3,8,1,6,5,7,4,2]=>[8,3,6,5,7,1,4,2]=>[2,4,1,7,5,6,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>16 [3,7,4,1,6,5,8,2]=>[3,7,1,6,4,5,8,2]=>[2,8,5,4,6,1,7,3]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [8,1,6,5,7,4,3,2]=>[6,5,8,7,4,1,3,2]=>[2,3,1,4,7,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>20 [7,3,1,4,8,6,5,2]=>[7,8,1,3,4,6,5,2]=>[2,5,6,4,3,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [6,5,2,4,8,7,3,1]=>[6,2,5,8,4,7,3,1]=>[1,3,7,4,8,5,2,6]=>[[1,2,3,5,8],[4,6],[7]]=>18 [3,1,8,6,5,7,4,2]=>[6,5,8,7,1,3,4,2]=>[2,4,3,1,7,8,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>15 [3,6,7,5,8,2,1,4]=>[6,7,5,8,3,2,1,4]=>[4,1,2,3,8,5,7,6]=>[[1,3,4,5,7],[2,6],[8]]=>17 [1,8,6,5,7,4,3,2]=>[6,5,8,7,4,3,1,2]=>[2,1,3,4,7,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>19 [2,7,8,5,6,3,1,4]=>[7,5,2,8,6,3,1,4]=>[4,1,3,6,8,2,5,7]=>[[1,3,4,5],[2,7,8],[6]]=>18 [4,7,8,5,6,3,1,2]=>[7,4,8,5,1,6,3,2]=>[2,3,6,1,5,8,4,7]=>[[1,2,3,6],[4,5,8],[7]]=>21 [4,7,8,5,3,6,1,2]=>[7,4,8,5,3,1,6,2]=>[2,6,1,3,5,8,4,7]=>[[1,2,5,6],[3,4,8],[7]]=>20 [2,7,8,5,3,4,6,1]=>[7,2,3,8,5,4,6,1]=>[1,6,4,5,8,3,2,7]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [4,7,5,3,8,1,2,6]=>[4,7,5,1,8,3,2,6]=>[6,2,3,8,1,5,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>16 [2,7,5,6,3,1,4,8]=>[5,2,7,6,3,1,4,8]=>[8,4,1,3,6,7,2,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [4,7,5,3,6,1,2,8]=>[4,7,5,3,1,6,2,8]=>[8,2,6,1,3,5,7,4]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [6,7,5,3,1,4,2,8]=>[1,6,3,7,5,4,2,8]=>[8,2,4,5,7,3,6,1]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [4,7,5,3,1,6,2,8]=>[4,1,7,5,3,6,2,8]=>[8,2,6,3,5,7,1,4]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [2,7,5,3,6,1,4,8]=>[2,5,7,6,3,1,4,8]=>[8,4,1,3,6,7,5,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [2,7,5,3,6,4,8,1]=>[2,5,7,6,3,4,8,1]=>[1,8,4,3,6,7,5,2]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [2,7,5,3,8,4,6,1]=>[7,5,2,3,8,4,6,1]=>[1,6,4,8,3,2,5,7]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [4,7,5,3,1,8,2,6]=>[4,7,5,3,1,8,2,6]=>[6,2,8,1,3,5,7,4]=>[[1,3,6,7],[2,5],[4,8]]=>15 [2,7,5,3,8,1,6,4]=>[2,5,7,3,8,6,1,4]=>[4,1,6,8,3,7,5,2]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [2,7,5,3,8,6,1,4]=>[2,5,7,8,6,3,1,4]=>[4,1,3,6,8,7,5,2]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [2,7,5,8,3,1,6,4]=>[5,2,7,3,8,6,1,4]=>[4,1,6,8,3,7,2,5]=>[[1,3,4],[2,5,6],[7,8]]=>15 [4,7,5,3,8,1,6,2]=>[4,7,5,3,8,1,6,2]=>[2,6,1,8,3,5,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>17 [6,7,5,3,8,1,4,2]=>[6,3,1,7,5,8,4,2]=>[2,4,8,5,7,1,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>20 [8,7,5,3,6,1,4,2]=>[3,1,5,8,7,6,4,2]=>[2,4,6,7,8,5,1,3]=>[[1,2,3,4,5],[6,8],[7]]=>23 [4,7,5,3,8,6,1,2]=>[4,7,5,8,3,1,6,2]=>[2,6,1,3,8,5,7,4]=>[[1,2,5,7],[3,4,6],[8]]=>18 [2,7,5,8,6,3,1,4]=>[5,7,2,8,6,3,1,4]=>[4,1,3,6,8,2,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>17 [2,7,5,6,8,3,4,1]=>[5,7,6,2,8,3,4,1]=>[1,4,3,8,2,6,7,5]=>[[1,2,4,7],[3,6],[5,8]]=>17 [2,7,5,6,8,3,1,4]=>[5,7,6,2,8,3,1,4]=>[4,1,3,8,2,6,7,5]=>[[1,3,4,7],[2,6],[5,8]]=>16 [4,7,5,3,6,8,1,2]=>[4,7,5,3,6,1,8,2]=>[2,8,1,6,3,5,7,4]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [6,7,5,3,4,1,8,2]=>[6,3,1,7,5,4,8,2]=>[2,8,4,5,7,1,3,6]=>[[1,2,4,5],[3,7,8],[6]]=>19 [4,7,5,3,6,1,8,2]=>[4,7,5,3,1,6,8,2]=>[2,8,6,1,3,5,7,4]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [2,7,5,3,6,8,4,1]=>[2,5,7,6,8,3,4,1]=>[1,4,3,8,6,7,5,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [2,7,5,3,6,1,8,4]=>[2,5,7,6,3,8,1,4]=>[4,1,8,3,6,7,5,2]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [2,7,5,3,1,6,8,4]=>[2,5,3,7,6,8,1,4]=>[4,1,8,6,7,3,5,2]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [6,7,5,3,1,4,8,2]=>[1,6,3,7,5,4,8,2]=>[2,8,4,5,7,3,6,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [2,7,5,3,1,4,8,6]=>[2,7,3,1,5,8,4,6]=>[6,4,8,5,1,3,7,2]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [2,7,5,3,4,1,8,6]=>[2,7,3,5,4,8,1,6]=>[6,1,8,4,5,3,7,2]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [2,7,5,3,4,8,1,6]=>[2,7,3,5,8,4,1,6]=>[6,1,4,8,5,3,7,2]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [2,7,5,3,4,8,6,1]=>[2,7,3,5,8,4,6,1]=>[1,6,4,8,5,3,7,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [2,7,5,3,4,6,8,1]=>[2,7,3,5,4,6,8,1]=>[1,8,6,4,5,3,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>13 [2,7,5,3,1,4,6,8]=>[2,7,3,1,5,4,6,8]=>[8,6,4,5,1,3,7,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [5,7,6,2,8,3,1,4]=>[5,7,2,6,3,1,8,4]=>[4,8,1,3,6,2,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>18 [5,1,6,3,2,4,8,7]=>[5,3,1,2,6,8,4,7]=>[7,4,8,6,2,1,3,5]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [3,8,7,2,1,5,4,6]=>[3,2,8,1,7,5,4,6]=>[6,4,5,7,1,8,2,3]=>[[1,3,4,6],[2,7,8],[5]]=>15 [3,7,5,2,1,4,8,6]=>[7,3,2,1,5,8,4,6]=>[6,4,8,5,1,2,3,7]=>[[1,3,7,8],[2,4],[5,6]]=>12 [6,1,7,2,8,4,3,5]=>[6,7,1,4,2,3,8,5]=>[5,8,3,2,4,1,7,6]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [4,8,5,6,7,3,1,2]=>[4,5,8,6,1,7,3,2]=>[2,3,7,1,6,8,5,4]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [6,1,7,2,8,5,3,4]=>[6,7,1,2,8,3,5,4]=>[4,5,3,8,2,1,7,6]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [3,7,6,2,8,5,1,4]=>[3,7,6,8,5,2,1,4]=>[4,1,2,5,8,6,7,3]=>[[1,3,4,5,7],[2,6],[8]]=>17 [3,7,6,1,8,4,2,5]=>[3,1,7,6,8,4,2,5]=>[5,2,4,8,6,7,1,3]=>[[1,3,4,6],[2,5],[7,8]]=>15 [6,1,7,3,8,5,2,4]=>[6,7,8,1,3,2,5,4]=>[4,5,2,3,1,8,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>15 [7,1,8,3,2,5,4,6]=>[1,7,3,5,2,4,8,6]=>[6,8,4,2,5,3,7,1]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [5,1,7,3,2,4,8,6]=>[5,1,3,2,7,8,4,6]=>[6,4,8,7,2,3,1,5]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [2,7,8,3,1,5,4,6]=>[2,3,1,7,8,5,4,6]=>[6,4,5,8,7,1,3,2]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [5,8,6,2,7,4,1,3]=>[8,5,2,6,1,7,4,3]=>[3,4,7,1,6,2,5,8]=>[[1,2,3,8],[4,5,7],[6]]=>20 [4,7,6,2,8,3,1,5]=>[7,6,4,2,8,3,1,5]=>[5,1,3,8,2,4,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>17 [5,8,6,3,7,4,1,2]=>[5,3,8,6,1,7,4,2]=>[2,4,7,1,6,8,3,5]=>[[1,2,3,6],[4,5,8],[7]]=>21 [5,8,7,3,2,4,1,6]=>[3,2,8,7,5,4,1,6]=>[6,1,4,5,7,8,2,3]=>[[1,3,4,5,6],[2,8],[7]]=>19 [8,3,1,7,2,6,4,5]=>[3,1,8,7,2,4,6,5]=>[5,6,4,2,7,8,1,3]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [4,5,1,2,8,7,3,6]=>[8,1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1,8]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [5,6,1,2,8,3,7,4]=>[1,2,5,6,8,3,7,4]=>[4,7,3,8,6,5,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [7,3,1,4,8,2,6,5]=>[7,1,3,4,8,2,6,5]=>[5,6,2,8,4,3,1,7]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [6,3,1,4,8,2,7,5]=>[1,3,4,6,8,2,7,5]=>[5,7,2,8,6,4,3,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [8,5,6,1,7,2,4,3]=>[5,1,2,6,8,7,4,3]=>[3,4,7,8,6,2,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [7,5,6,1,3,8,4,2]=>[5,1,3,7,6,8,4,2]=>[2,4,8,6,7,3,1,5]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [6,8,5,1,3,7,4,2]=>[1,6,3,8,5,7,4,2]=>[2,4,7,5,8,3,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [6,7,5,1,3,8,4,2]=>[6,1,3,7,5,8,4,2]=>[2,4,8,5,7,3,1,6]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [5,7,1,4,2,8,6,3]=>[1,5,2,7,8,4,6,3]=>[3,6,4,8,7,2,5,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [2,1,6,4,8,3,7,5]=>[6,2,8,4,7,1,3,5]=>[5,3,1,7,4,8,2,6]=>[[1,4,6],[2,5,8],[3,7]]=>9 [7,6,1,2,4,8,5,3]=>[1,7,2,4,6,8,5,3]=>[3,5,8,6,4,2,7,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>15 [7,6,4,1,3,8,5,2]=>[4,1,3,7,6,8,5,2]=>[2,5,8,6,7,3,1,4]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [1,5,7,8,4,2,3,6]=>[7,1,8,5,4,2,3,6]=>[6,3,2,4,5,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [1,3,6,4,2,5,7,8]=>[3,6,4,1,2,5,7,8]=>[8,7,5,2,1,4,6,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [1,4,5,7,8,3,6,2]=>[7,8,4,5,3,6,1,2]=>[2,1,6,3,5,4,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>12 [6,8,1,7,2,4,5,3]=>[6,1,8,2,4,7,5,3]=>[3,5,7,4,2,8,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [6,8,4,7,3,2,1,5]=>[6,8,4,3,2,1,7,5]=>[5,7,1,2,3,4,8,6]=>[[1,2,5,6,7],[3,4,8]]=>21 [6,8,3,2,1,5,4,7]=>[3,2,8,1,6,5,4,7]=>[7,4,5,6,1,8,2,3]=>[[1,3,4,6],[2,7,8],[5]]=>15 [6,5,8,2,1,3,4,7]=>[2,1,6,3,8,5,4,7]=>[7,4,5,8,3,6,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [6,8,5,4,2,7,1,3]=>[2,8,6,5,4,1,7,3]=>[3,7,1,4,5,6,8,2]=>[[1,2,5,6,7],[3,4],[8]]=>21 [6,4,8,5,3,2,1,7]=>[6,4,8,5,3,2,1,7]=>[7,1,2,3,5,8,4,6]=>[[1,3,4,5,6],[2,8],[7]]=>19 [3,5,6,1,4,2,7,8]=>[5,3,6,1,4,2,7,8]=>[8,7,2,4,1,6,3,5]=>[[1,4,6],[2,7,8],[3],[5]]=>9 [1,6,3,8,4,2,7,5]=>[1,8,6,3,4,7,2,5]=>[5,2,7,4,3,6,8,1]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [5,3,6,8,4,2,7,1]=>[8,3,5,6,4,2,7,1]=>[1,7,2,4,6,5,3,8]=>[[1,2,4,5,8],[3],[6],[7]]=>17 [7,1,3,2,4,6,8,5]=>[3,7,1,2,4,6,8,5]=>[5,8,6,4,2,1,7,3]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [6,4,3,2,7,5,8,1]=>[4,3,2,6,7,5,8,1]=>[1,8,5,7,6,2,3,4]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [7,4,5,6,1,3,8,2]=>[4,1,5,7,6,3,8,2]=>[2,8,3,6,7,5,1,4]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [7,5,4,2,1,3,8,6]=>[2,1,5,4,3,7,8,6]=>[6,8,7,3,4,5,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [1,6,7,8,3,5,2,4]=>[1,6,7,8,5,3,2,4]=>[4,2,3,5,8,7,6,1]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [2,6,5,7,8,3,1,4]=>[6,5,7,2,8,3,1,4]=>[4,1,3,8,2,7,5,6]=>[[1,3,4,8],[2,6],[5,7]]=>15 [3,7,6,8,2,5,4,1]=>[7,6,3,8,5,2,4,1]=>[1,4,2,5,8,3,6,7]=>[[1,2,4,5,8],[3,6,7]]=>19 [5,4,6,8,7,1,3,2]=>[5,4,6,8,1,7,3,2]=>[2,3,7,1,8,6,4,5]=>[[1,2,3,5],[4,6,8],[7]]=>18 [4,1,8,2,6,7,5,3]=>[4,8,6,7,1,2,5,3]=>[3,5,2,1,7,6,8,4]=>[[1,2,5,7],[3,6],[4,8]]=>13 [3,6,7,8,2,1,4,5]=>[6,7,3,2,1,8,4,5]=>[5,4,8,1,2,3,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>15 [6,3,8,7,2,4,5,1]=>[8,6,3,2,4,7,5,1]=>[1,5,7,4,2,3,6,8]=>[[1,2,3,7,8],[4,6],[5]]=>19 [5,2,1,4,7,8,6,3]=>[2,5,7,8,1,4,6,3]=>[3,6,4,1,8,7,5,2]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [5,2,4,7,8,6,1,3]=>[5,7,8,2,4,1,6,3]=>[3,6,1,4,2,8,7,5]=>[[1,2,6],[3,4,7],[5,8]]=>15 [7,2,1,3,4,8,5,6]=>[2,7,1,3,4,5,8,6]=>[6,8,5,4,3,1,7,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>9 [6,2,4,7,3,8,5,1]=>[4,6,2,3,7,8,5,1]=>[1,5,8,7,3,2,6,4]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [7,6,3,1,2,5,8,4]=>[1,3,7,2,6,5,8,4]=>[4,8,5,6,2,7,3,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [8,1,6,2,3,4,7,5]=>[1,2,3,4,8,6,7,5]=>[5,7,6,8,4,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>12 [6,1,4,2,5,7,8,3]=>[1,2,6,4,5,7,8,3]=>[3,8,7,5,4,6,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>10 [1,6,7,2,4,3,5,8]=>[1,2,6,7,4,3,5,8]=>[8,5,3,4,7,6,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [1,4,7,2,5,6,3,8]=>[7,4,1,5,6,2,3,8]=>[8,3,2,6,5,1,4,7]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [5,4,1,7,3,6,2,8]=>[5,7,1,4,3,6,2,8]=>[8,2,6,3,4,1,7,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [7,3,5,8,2,6,1,4]=>[3,7,5,8,2,1,6,4]=>[4,6,1,2,8,5,7,3]=>[[1,2,5,7],[3,4,6],[8]]=>18 [3,5,8,6,4,7,1,2]=>[5,8,6,3,4,1,7,2]=>[2,7,1,4,3,6,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>17 [3,4,8,6,7,2,1,5]=>[6,8,7,3,4,2,1,5]=>[5,1,2,4,3,7,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>16 [1,4,6,2,5,8,7,3]=>[4,6,8,1,5,7,2,3]=>[3,2,7,5,1,8,6,4]=>[[1,3,6],[2,4,7],[5,8]]=>9 [1,4,7,6,3,2,8,5]=>[7,6,4,3,8,1,2,5]=>[5,2,1,8,3,4,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>11 [1,7,2,5,8,4,3,6]=>[7,8,5,1,2,4,3,6]=>[6,3,4,2,1,5,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [3,7,5,1,6,8,4,2]=>[3,5,7,6,8,1,4,2]=>[2,4,1,8,6,7,5,3]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [5,8,7,4,6,2,3,1]=>[8,7,5,4,2,6,3,1]=>[1,3,6,2,4,5,7,8]=>[[1,2,3,6,7,8],[4,5]]=>23 [2,7,8,4,6,5,1,3]=>[4,7,8,6,5,2,1,3]=>[3,1,2,5,6,8,7,4]=>[[1,3,4,5,6],[2,7],[8]]=>18 [4,8,7,5,2,6,3,1]=>[4,2,8,7,5,6,3,1]=>[1,3,6,5,7,8,2,4]=>[[1,2,3,5,6],[4,8],[7]]=>21 [4,8,7,2,5,6,3,1]=>[8,4,2,7,5,6,3,1]=>[1,3,6,5,7,2,4,8]=>[[1,2,3,5,8],[4,7],[6]]=>20 [1,6,8,3,5,2,7,4]=>[1,6,8,5,3,7,2,4]=>[4,2,7,3,5,8,6,1]=>[[1,3,5,6],[2,4,7],[8]]=>13 [4,5,8,6,3,7,2,1]=>[4,8,5,6,3,7,2,1]=>[1,2,7,3,6,5,8,4]=>[[1,2,3,5,7],[4],[6],[8]]=>19 [6,1,2,8,4,7,5,3]=>[6,8,1,7,2,4,5,3]=>[3,5,4,2,7,1,8,6]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [4,7,1,8,5,6,3,2]=>[7,1,8,4,5,6,3,2]=>[2,3,6,5,4,8,1,7]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [5,7,1,8,2,6,4,3]=>[5,7,8,1,2,6,4,3]=>[3,4,6,2,1,8,7,5]=>[[1,2,3,6],[4,7],[5,8]]=>16 [5,3,8,4,7,6,2,1]=>[5,8,3,7,4,6,2,1]=>[1,2,6,4,7,3,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>19 [2,5,8,1,7,4,6,3]=>[5,2,8,7,4,6,1,3]=>[3,1,6,4,7,8,2,5]=>[[1,3,5,6],[2,4,8],[7]]=>14 [4,5,8,3,7,6,2,1]=>[4,8,5,7,3,6,2,1]=>[1,2,6,3,7,5,8,4]=>[[1,2,3,5,7],[4,6],[8]]=>19 [3,5,8,6,4,7,2,1]=>[5,8,6,3,4,7,2,1]=>[1,2,7,4,3,6,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>18 [2,6,3,8,5,1,7,4]=>[2,6,8,5,3,7,1,4]=>[4,1,7,3,5,8,6,2]=>[[1,3,5,6],[2,4,7],[8]]=>13 [4,1,5,8,6,7,3,2]=>[4,8,5,6,7,1,3,2]=>[2,3,1,7,6,5,8,4]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [1,4,3,7,2,8,5,6]=>[7,4,8,3,1,2,5,6]=>[6,5,2,1,3,8,4,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [6,3,5,2,4,7,1,8]=>[6,3,2,5,4,7,1,8]=>[8,1,7,4,5,2,3,6]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [5,2,6,3,4,8,1,7]=>[5,2,3,6,8,4,1,7]=>[7,1,4,8,6,3,2,5]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [5,2,3,8,4,6,1,7]=>[2,5,3,8,4,6,1,7]=>[7,1,6,4,8,3,5,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [4,3,7,5,2,1,8,6]=>[7,4,3,5,2,8,1,6]=>[6,1,8,2,5,3,4,7]=>[[1,3,5,7,8],[2,4],[6]]=>13 [5,3,4,7,6,1,2,8]=>[3,5,7,4,1,6,2,8]=>[8,2,6,1,4,7,5,3]=>[[1,3,6],[2,5,7],[4],[8]]=>13 [5,1,4,3,2,7,6,8]=>[5,4,1,3,7,2,6,8]=>[8,6,2,7,3,1,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [4,1,3,5,8,7,2,6]=>[8,4,7,1,3,5,2,6]=>[6,2,5,3,1,7,4,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [6,2,1,4,8,3,7,5]=>[2,4,6,8,1,3,7,5]=>[5,7,3,1,8,6,4,2]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [3,8,2,1,4,7,6,5]=>[3,8,2,7,1,6,4,5]=>[5,4,6,1,7,2,8,3]=>[[1,3,5,7],[2,6,8],[4]]=>12 [4,2,3,5,7,1,8,6]=>[2,4,7,3,5,8,1,6]=>[6,1,8,5,3,7,4,2]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [6,5,4,8,3,1,2,7]=>[6,5,1,8,4,3,2,7]=>[7,2,3,4,8,1,5,6]=>[[1,3,4,5,8],[2,7],[6]]=>18 [5,4,6,3,1,7,2,8]=>[5,4,1,6,3,7,2,8]=>[8,2,7,3,6,1,4,5]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [4,3,6,5,1,8,2,7]=>[4,6,3,5,1,8,2,7]=>[7,2,8,1,5,3,6,4]=>[[1,3,7],[2,5,8],[4,6]]=>12 [1,5,6,8,7,3,2,4]=>[5,6,8,1,7,3,2,4]=>[4,2,3,7,1,8,6,5]=>[[1,3,4,6],[2,7],[5,8]]=>14 [1,4,8,3,6,5,2,7]=>[4,8,3,6,5,1,2,7]=>[7,2,1,5,6,3,8,4]=>[[1,4,5,7],[2,6,8],[3]]=>11 [3,5,4,1,6,7,2,8]=>[5,3,1,4,6,7,2,8]=>[8,2,7,6,4,1,3,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [3,4,1,8,6,5,2,7]=>[8,3,4,6,1,5,2,7]=>[7,2,5,1,6,4,3,8]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [3,2,1,6,4,8,7,5]=>[3,6,8,2,7,1,4,5]=>[5,4,1,7,2,8,6,3]=>[[1,4,6],[2,5,7],[3,8]]=>8 [4,1,7,6,8,3,2,5]=>[7,4,1,6,8,3,2,5]=>[5,2,3,8,6,1,4,7]=>[[1,3,4,8],[2,5],[6,7]]=>14 [3,1,7,6,4,8,2,5]=>[3,7,6,8,1,4,2,5]=>[5,2,4,1,8,6,7,3]=>[[1,3,5,7],[2,6],[4,8]]=>12 [2,1,7,6,4,3,8,5]=>[2,7,6,4,8,1,3,5]=>[5,3,1,8,4,6,7,2]=>[[1,4,6,7],[2,5],[3,8]]=>10 [1,8,4,7,6,2,3,5]=>[1,8,7,6,2,4,3,5]=>[5,3,4,2,6,7,8,1]=>[[1,3,5,6,7],[2],[4],[8]]=>15 [5,8,4,7,6,1,3,2]=>[5,4,8,7,1,6,3,2]=>[2,3,6,1,7,8,4,5]=>[[1,2,3,5,6],[4,7,8]]=>21 [2,6,3,7,4,8,5,1]=>[6,2,3,7,8,4,5,1]=>[1,5,4,8,7,3,2,6]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [4,6,1,7,8,2,5,3]=>[4,6,1,7,8,2,5,3]=>[3,5,2,8,7,1,6,4]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [7,2,3,8,4,5,6,1]=>[2,7,3,4,5,8,6,1]=>[1,6,8,5,4,3,7,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [5,2,6,7,8,3,4,1]=>[5,6,7,2,3,8,4,1]=>[1,4,8,3,2,7,6,5]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [6,5,8,1,2,7,4,3]=>[1,2,6,8,5,7,4,3]=>[3,4,7,5,8,6,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [5,8,4,3,7,2,1,6]=>[5,4,8,7,3,2,1,6]=>[6,1,2,3,7,8,4,5]=>[[1,3,4,5,6],[2,7,8]]=>19 [1,5,2,7,6,3,4,8]=>[7,5,1,2,6,3,4,8]=>[8,4,3,6,2,1,5,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [4,8,1,7,6,2,5,3]=>[4,8,7,1,6,2,5,3]=>[3,5,2,6,1,7,8,4]=>[[1,2,4,6,7],[3,8],[5]]=>17 [4,1,8,7,6,5,2,3]=>[8,7,6,4,1,2,5,3]=>[3,5,2,1,4,6,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>17 [7,6,5,2,8,4,3,1]=>[7,2,6,5,8,4,3,1]=>[1,3,4,8,5,6,2,7]=>[[1,2,3,4,6,8],[5],[7]]=>22 [7,8,5,2,6,4,1,3]=>[7,2,5,1,8,6,4,3]=>[3,4,6,8,1,5,2,7]=>[[1,2,3,4],[5,6,8],[7]]=>22 [8,7,5,2,6,1,4,3]=>[2,1,8,5,7,6,4,3]=>[3,4,6,7,5,8,1,2]=>[[1,2,3,4,6],[5,8],[7]]=>22 [6,5,1,8,7,4,3,2]=>[6,8,5,7,1,4,3,2]=>[2,3,4,1,7,5,8,6]=>[[1,2,3,5,7],[4,6,8]]=>19 [7,5,1,8,6,4,3,2]=>[5,7,8,6,1,4,3,2]=>[2,3,4,1,6,8,7,5]=>[[1,2,3,5,6],[4,7],[8]]=>20 [8,5,1,7,6,4,3,2]=>[8,5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5,8]=>[[1,2,3,5,6,8],[4,7]]=>21 [7,2,8,6,1,5,4,3]=>[2,7,8,6,5,1,4,3]=>[3,4,1,5,6,8,7,2]=>[[1,2,4,5,6],[3,7],[8]]=>19 [7,8,6,2,5,1,4,3]=>[7,2,8,1,6,5,4,3]=>[3,4,5,6,1,8,2,7]=>[[1,2,3,4,6],[5,7,8]]=>22 [3,8,7,6,1,5,4,2]=>[8,3,7,6,5,1,4,2]=>[2,4,1,5,6,7,3,8]=>[[1,2,4,5,6,8],[3,7]]=>20 [3,6,2,8,4,1,5,7]=>[6,3,2,8,4,1,5,7]=>[7,5,1,4,8,2,3,6]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [8,3,7,5,4,1,6,2]=>[8,3,1,5,4,7,6,2]=>[2,6,7,4,5,1,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>20 [8,6,4,5,3,1,7,2]=>[4,1,6,5,3,8,7,2]=>[2,7,8,3,5,6,1,4]=>[[1,2,3,6],[4,5],[7,8]]=>21 [1,6,5,8,4,7,2,3]=>[6,8,5,4,1,7,2,3]=>[3,2,7,1,4,5,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>15 [1,2,7,8,4,6,5,3]=>[4,7,8,6,5,1,2,3]=>[3,2,1,5,6,8,7,4]=>[[1,4,5,6],[2,7],[3,8]]=>12 [6,3,8,4,1,2,5,7]=>[3,1,6,4,2,8,5,7]=>[7,5,8,2,4,6,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [4,5,3,1,8,7,2,6]=>[4,5,8,3,1,7,2,6]=>[6,2,7,1,3,8,5,4]=>[[1,3,6],[2,5,7],[4,8]]=>13 [5,2,6,7,1,8,3,4]=>[5,6,2,7,1,3,8,4]=>[4,8,3,1,7,2,6,5]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [3,6,8,5,2,7,1,4]=>[8,6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6,8]=>[[1,3,4,6,7,8],[2,5]]=>17 [6,1,8,2,7,4,3,5]=>[1,6,8,4,2,3,7,5]=>[5,7,3,2,4,8,6,1]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [2,5,6,3,1,7,4,8]=>[5,2,6,3,7,1,4,8]=>[8,4,1,7,3,6,2,5]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [5,7,6,2,8,1,3,4]=>[5,7,2,1,6,3,8,4]=>[4,8,3,6,1,2,7,5]=>[[1,2,7],[3,4,8],[5,6]]=>17 [5,2,4,6,8,7,1,3]=>[5,8,2,4,6,1,7,3]=>[3,7,1,6,4,2,8,5]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [8,1,6,5,7,2,3,4]=>[1,8,6,2,5,3,7,4]=>[4,7,3,5,2,6,8,1]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [7,1,6,5,2,8,4,3]=>[7,1,6,5,8,2,4,3]=>[3,4,2,8,5,6,1,7]=>[[1,2,4,6,8],[3,5],[7]]=>16 [1,5,8,6,2,7,4,3]=>[8,5,1,6,7,4,2,3]=>[3,2,4,7,6,1,5,8]=>[[1,3,4,8],[2,5],[6,7]]=>14 [6,4,7,1,3,8,2,5]=>[1,4,6,3,7,2,8,5]=>[5,8,2,7,3,6,4,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [8,2,3,6,7,4,1,5]=>[8,2,6,3,4,1,7,5]=>[5,7,1,4,3,6,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [8,7,5,2,4,3,1,6]=>[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[[1,2,3,8],[4,5,6],[7]]=>21 [3,1,8,5,7,2,6,4]=>[3,5,8,7,1,6,2,4]=>[4,2,6,1,7,8,5,3]=>[[1,3,5,6],[2,7],[4,8]]=>13 [6,5,2,1,7,4,3,8]=>[2,6,1,5,7,4,3,8]=>[8,3,4,7,5,1,6,2]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [6,7,4,2,3,8,1,5]=>[2,6,4,3,7,1,8,5]=>[5,8,1,7,3,4,6,2]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [6,8,5,3,4,2,1,7]=>[3,8,6,5,4,2,1,7]=>[7,1,2,4,5,6,8,3]=>[[1,3,4,5,6,7],[2],[8]]=>20 [8,5,2,6,4,3,1,7]=>[5,6,2,4,3,1,8,7]=>[7,8,1,3,4,2,6,5]=>[[1,2,5,7],[3,4],[6,8]]=>18 [8,5,6,4,2,7,1,3]=>[5,2,6,4,1,8,7,3]=>[3,7,8,1,4,6,2,5]=>[[1,2,3],[4,5,6],[7,8]]=>21 [3,2,6,7,1,8,5,4]=>[6,7,3,8,2,5,1,4]=>[4,1,5,2,8,3,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>12 [5,4,7,8,1,2,6,3]=>[5,1,7,4,8,2,6,3]=>[3,6,2,8,4,7,1,5]=>[[1,2,4],[3,5,6],[7,8]]=>16 [5,7,1,4,3,8,6,2]=>[1,5,7,4,8,3,6,2]=>[2,6,3,8,4,7,5,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [3,1,6,7,8,2,5,4]=>[6,7,3,8,1,5,2,4]=>[4,2,5,1,8,3,7,6]=>[[1,3,5],[2,6,7],[4,8]]=>12 [1,3,6,7,8,2,5,4]=>[6,7,3,8,5,1,2,4]=>[4,2,1,5,8,3,7,6]=>[[1,4,5],[2,6,7],[3,8]]=>11 [1,6,3,7,8,2,5,4]=>[6,7,1,8,3,5,2,4]=>[4,2,5,3,8,1,7,6]=>[[1,3,5],[2,4,7],[6,8]]=>12 [3,2,6,7,8,4,1,5]=>[6,7,8,3,2,4,1,5]=>[5,1,4,2,3,8,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>13 [6,2,7,4,8,5,1,3]=>[6,2,7,8,4,1,5,3]=>[3,5,1,4,8,7,2,6]=>[[1,2,5],[3,4,6],[7,8]]=>17 [5,7,2,8,1,4,6,3]=>[5,2,7,1,8,4,6,3]=>[3,6,4,8,1,7,2,5]=>[[1,2,4],[3,6,8],[5,7]]=>16 [7,8,4,3,1,6,5,2]=>[1,4,3,7,8,6,5,2]=>[2,5,6,8,7,3,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [2,6,1,7,8,3,5,4]=>[6,7,2,8,1,5,3,4]=>[4,3,5,1,8,2,7,6]=>[[1,3,5],[2,6,7],[4,8]]=>12 [2,7,5,8,6,1,3,4]=>[5,7,2,1,8,6,3,4]=>[4,3,6,8,1,2,7,5]=>[[1,3,4],[2,6,7],[5,8]]=>16 [6,7,1,8,5,2,4,3]=>[6,1,7,8,2,5,4,3]=>[3,4,5,2,8,7,1,6]=>[[1,2,3,5],[4,6],[7,8]]=>18 [1,2,6,7,8,5,3,4]=>[6,7,1,8,5,2,3,4]=>[4,3,2,5,8,1,7,6]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [1,6,7,4,8,3,2,5]=>[6,7,8,1,4,3,2,5]=>[5,2,3,4,1,8,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>14 [1,4,6,7,8,3,2,5]=>[6,7,8,4,3,1,2,5]=>[5,2,1,3,4,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>12 [6,1,2,4,5,3,7,8]=>[1,6,2,4,5,3,7,8]=>[8,7,3,5,4,2,6,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>7 [8,7,2,1,5,4,6,3]=>[2,8,5,1,4,7,6,3]=>[3,6,7,4,1,5,8,2]=>[[1,2,3,7],[4,6],[5,8]]=>18 [2,7,4,8,6,5,3,1]=>[7,8,4,6,5,2,3,1]=>[1,3,2,5,6,4,8,7]=>[[1,2,4,5,7],[3,6,8]]=>18 [7,6,5,2,4,1,8,3]=>[7,2,1,6,5,4,8,3]=>[3,8,4,5,6,1,2,7]=>[[1,2,4,5,8],[3,7],[6]]=>19 [6,1,8,7,2,3,5,4]=>[1,6,8,2,7,3,5,4]=>[4,5,3,7,2,8,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [8,6,1,2,7,3,4,5]=>[1,6,2,3,4,8,7,5]=>[5,7,8,4,3,2,6,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [2,8,6,1,4,5,7,3]=>[2,4,6,5,8,7,1,3]=>[3,1,7,8,5,6,4,2]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [4,7,2,8,6,5,1,3]=>[7,8,4,6,2,1,5,3]=>[3,5,1,2,6,4,8,7]=>[[1,2,5,7],[3,4,6,8]]=>18 [4,7,1,8,6,5,3,2]=>[7,8,6,1,4,5,3,2]=>[2,3,5,4,1,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>18 [4,7,3,8,6,1,5,2]=>[4,7,3,8,6,1,5,2]=>[2,5,1,6,8,3,7,4]=>[[1,2,4,5],[3,6,7],[8]]=>18 [4,1,2,6,8,7,5,3]=>[8,6,7,1,2,4,5,3]=>[3,5,4,2,1,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [4,1,6,8,7,5,2,3]=>[8,6,7,4,1,2,5,3]=>[3,5,2,1,4,7,6,8]=>[[1,2,6,8],[3,5,7],[4]]=>15 [3,8,1,4,2,5,7,6]=>[1,3,4,8,2,7,5,6]=>[6,5,7,2,8,4,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [3,8,1,2,5,4,7,6]=>[3,1,8,2,5,7,4,6]=>[6,4,7,5,2,8,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [4,2,8,3,5,1,7,6]=>[2,4,3,8,5,7,1,6]=>[6,1,7,5,8,3,4,2]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [3,8,2,4,5,7,6,1]=>[3,8,2,4,7,5,6,1]=>[1,6,5,7,4,2,8,3]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [4,2,8,5,7,1,3,6]=>[8,4,7,2,1,5,3,6]=>[6,3,5,1,2,7,4,8]=>[[1,3,6,8],[2,5,7],[4]]=>14 [3,8,1,5,2,4,7,6]=>[1,8,3,2,5,7,4,6]=>[6,4,7,5,2,3,8,1]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [7,8,6,4,1,3,2,5]=>[7,1,4,3,2,8,6,5]=>[5,6,8,2,3,4,1,7]=>[[1,2,3,8],[4,5,6],[7]]=>21 [7,1,4,2,5,6,3,8]=>[1,2,4,7,5,6,3,8]=>[8,3,6,5,7,4,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>10 [7,3,2,1,4,6,5,8]=>[3,2,7,1,4,6,5,8]=>[8,5,6,4,1,7,2,3]=>[[1,3,6],[2,7,8],[4],[5]]=>10 [7,6,1,4,3,2,5,8]=>[4,3,1,2,7,6,5,8]=>[8,5,6,7,2,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [7,4,1,3,5,6,2,8]=>[4,1,3,5,7,6,2,8]=>[8,2,6,7,5,3,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [3,6,2,1,5,8,7,4]=>[3,2,6,8,5,7,1,4]=>[4,1,7,5,8,6,2,3]=>[[1,3,5],[2,4,6],[7,8]]=>11 [3,6,7,4,1,2,8,5]=>[6,3,1,7,4,8,2,5]=>[5,2,8,4,7,1,3,6]=>[[1,3,5],[2,4,8],[6,7]]=>13 [6,8,2,1,5,3,7,4]=>[6,2,1,3,8,5,7,4]=>[4,7,5,8,3,1,2,6]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [4,8,2,5,3,6,7,1]=>[2,4,5,3,8,6,7,1]=>[1,7,6,8,3,5,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [4,5,8,2,3,6,7,1]=>[4,2,8,5,3,6,7,1]=>[1,7,6,3,5,8,2,4]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [2,4,8,5,3,6,7,1]=>[2,8,4,5,3,6,7,1]=>[1,7,6,3,5,4,8,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>13 [2,4,5,3,8,6,7,1]=>[8,4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [4,3,5,2,8,6,7,1]=>[4,8,3,5,2,6,7,1]=>[1,7,6,2,5,3,8,4]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [4,8,5,3,2,6,7,1]=>[4,5,3,2,8,6,7,1]=>[1,7,6,8,2,3,5,4]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [3,5,4,2,8,6,7,1]=>[5,8,3,4,2,6,7,1]=>[1,7,6,2,4,3,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [5,6,7,4,2,8,3,1]=>[5,6,2,7,4,8,3,1]=>[1,3,8,4,7,2,6,5]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [2,5,7,4,6,8,3,1]=>[7,5,4,6,8,2,3,1]=>[1,3,2,8,6,4,5,7]=>[[1,2,4,7,8],[3,5],[6]]=>15 [7,5,2,4,3,8,6,1]=>[5,2,4,3,7,8,6,1]=>[1,6,8,7,3,4,2,5]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [6,8,1,2,5,4,7,3]=>[1,6,8,2,5,4,7,3]=>[3,7,4,5,2,8,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [6,4,1,8,5,2,7,3]=>[6,4,1,2,8,5,7,3]=>[3,7,5,8,2,1,4,6]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [7,1,2,8,5,6,4,3]=>[7,5,8,6,1,2,4,3]=>[3,4,2,1,6,8,5,7]=>[[1,2,5,6],[3,7,8],[4]]=>15 [4,3,2,6,8,5,7,1]=>[4,8,3,6,2,5,7,1]=>[1,7,5,2,6,3,8,4]=>[[1,2,5,7],[3,6,8],[4]]=>13 [3,7,6,4,8,5,2,1]=>[3,7,6,8,4,5,2,1]=>[1,2,5,4,8,6,7,3]=>[[1,2,3,5,7],[4,6],[8]]=>19 [3,1,6,8,5,4,7,2]=>[8,6,5,1,3,4,7,2]=>[2,7,4,3,1,5,6,8]=>[[1,2,6,7,8],[3],[4],[5]]=>13 [3,5,2,8,4,6,7,1]=>[8,5,3,2,4,6,7,1]=>[1,7,6,4,2,3,5,8]=>[[1,2,6,7,8],[3],[4],[5]]=>13 [3,4,5,8,2,6,7,1]=>[3,8,4,5,2,6,7,1]=>[1,7,6,2,5,4,8,3]=>[[1,2,5,7],[3],[4],[6],[8]]=>13 [5,4,2,8,3,6,7,1]=>[5,2,8,4,3,6,7,1]=>[1,7,6,3,4,8,2,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [5,3,4,8,2,6,7,1]=>[5,3,8,4,2,6,7,1]=>[1,7,6,2,4,8,3,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [2,5,4,8,3,6,7,1]=>[8,5,4,2,3,6,7,1]=>[1,7,6,3,2,4,5,8]=>[[1,2,6,7,8],[3],[4],[5]]=>13 [6,3,2,5,8,4,7,1]=>[3,6,8,2,5,4,7,1]=>[1,7,4,5,2,8,6,3]=>[[1,2,4,6],[3,7],[5,8]]=>15 [5,4,8,3,2,6,7,1]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[[1,2,5,6,7,8],[3],[4]]=>17 [5,8,2,3,4,6,7,1]=>[2,3,5,4,8,6,7,1]=>[1,7,6,8,4,5,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [7,2,5,6,4,1,8,3]=>[5,7,6,2,1,4,8,3]=>[3,8,4,1,2,6,7,5]=>[[1,2,6,7],[3,5,8],[4]]=>16 [6,2,1,7,8,5,4,3]=>[6,7,8,2,5,1,4,3]=>[3,4,1,5,2,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>15 [8,2,5,6,4,1,7,3]=>[2,8,5,1,6,4,7,3]=>[3,7,4,6,1,5,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [7,4,6,8,3,2,5,1]=>[7,4,6,3,2,8,5,1]=>[1,5,8,2,3,6,4,7]=>[[1,2,3,6,8],[4,5],[7]]=>21 [1,5,8,6,3,7,2,4]=>[8,5,1,6,7,3,2,4]=>[4,2,3,7,6,1,5,8]=>[[1,3,4,8],[2,5],[6,7]]=>14 [6,1,8,7,3,5,2,4]=>[8,1,6,7,3,2,5,4]=>[4,5,2,3,7,6,1,8]=>[[1,2,5,8],[3,4,6],[7]]=>17 [6,1,2,7,3,5,4,8]=>[1,6,7,2,3,5,4,8]=>[8,4,5,3,2,7,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [3,4,5,2,7,1,6,8]=>[3,4,5,7,2,1,6,8]=>[8,6,1,2,7,5,4,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [3,1,7,8,2,4,6,5]=>[1,7,3,8,6,2,4,5]=>[5,4,2,6,8,3,7,1]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [1,4,6,8,3,2,7,5]=>[8,6,4,3,7,1,2,5]=>[5,2,1,7,3,4,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>11 [3,4,5,2,7,1,8,6]=>[3,4,5,7,2,8,1,6]=>[6,1,8,2,7,5,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [3,1,7,6,8,4,2,5]=>[7,6,3,8,1,4,2,5]=>[5,2,4,1,8,3,6,7]=>[[1,3,5,8],[2,6,7],[4]]=>13 [7,5,6,1,2,3,8,4]=>[1,2,5,3,7,6,8,4]=>[4,8,6,7,3,5,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [1,5,7,6,3,2,8,4]=>[5,7,1,6,3,8,2,4]=>[4,2,8,3,6,1,7,5]=>[[1,3,5,7],[2,4],[6,8]]=>12 [8,4,6,7,3,1,2,5]=>[4,1,8,6,3,2,7,5]=>[5,7,2,3,6,8,1,4]=>[[1,2,5,6],[3,4],[7,8]]=>20 [8,4,6,7,3,2,5,1]=>[4,8,6,3,2,7,5,1]=>[1,5,7,2,3,6,8,4]=>[[1,2,3,6,7],[4,5],[8]]=>22 [3,8,7,6,2,4,5,1]=>[3,2,8,7,6,4,5,1]=>[1,5,4,6,7,8,2,3]=>[[1,2,4,5,6],[3,8],[7]]=>20 [8,4,6,2,3,5,7,1]=>[2,6,4,3,5,8,7,1]=>[1,7,8,5,3,4,6,2]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [8,5,2,6,3,4,1,7]=>[5,2,3,6,4,1,8,7]=>[7,8,1,4,6,3,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [3,4,1,7,5,2,8,6]=>[3,4,7,1,5,8,2,6]=>[6,2,8,5,1,7,4,3]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [3,1,7,8,5,4,2,6]=>[3,7,8,5,1,4,2,6]=>[6,2,4,1,5,8,7,3]=>[[1,3,5,6],[2,7],[4,8]]=>13 [3,4,5,2,8,6,1,7]=>[8,3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>11 [3,4,5,2,8,1,6,7]=>[8,3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>10 [3,4,5,2,6,8,1,7]=>[3,4,5,8,2,6,1,7]=>[7,1,6,2,8,5,4,3]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [3,4,5,2,1,8,6,7]=>[3,4,5,8,2,1,6,7]=>[7,6,1,2,8,5,4,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [7,4,8,5,6,1,2,3]=>[7,4,1,5,2,8,6,3]=>[3,6,8,2,5,1,4,7]=>[[1,2,3],[4,5,8],[6,7]]=>20 [6,8,2,5,1,3,7,4]=>[2,1,6,3,8,5,7,4]=>[4,7,5,8,3,6,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [1,5,4,6,3,8,2,7]=>[5,4,6,8,3,1,2,7]=>[7,2,1,3,8,6,4,5]=>[[1,4,5,8],[2,6],[3,7]]=>10 [1,8,6,4,7,3,2,5]=>[6,8,7,1,4,3,2,5]=>[5,2,3,4,1,7,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>16 [5,4,8,1,7,3,6,2]=>[5,8,4,1,7,3,6,2]=>[2,6,3,7,1,4,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>17 [4,3,8,6,2,1,7,5]=>[4,8,6,3,2,7,1,5]=>[5,1,7,2,3,6,8,4]=>[[1,3,5,6,7],[2,4],[8]]=>15 [8,3,6,2,4,1,7,5]=>[3,2,4,1,8,6,7,5]=>[5,7,6,8,1,4,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [7,8,3,2,4,6,5,1]=>[3,2,4,7,8,6,5,1]=>[1,5,6,8,7,4,2,3]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [2,5,4,8,7,3,6,1]=>[8,5,7,4,2,3,6,1]=>[1,6,3,2,4,7,5,8]=>[[1,2,5,6,8],[3,7],[4]]=>15 [3,6,8,1,7,4,2,5]=>[6,3,8,1,7,4,2,5]=>[5,2,4,7,1,8,3,6]=>[[1,3,4,6],[2,7,8],[5]]=>15 [2,7,5,4,8,3,1,6]=>[7,5,8,2,4,3,1,6]=>[6,1,3,4,2,8,5,7]=>[[1,3,4,6,8],[2,7],[5]]=>15 [1,5,7,6,2,8,4,3]=>[5,7,1,6,8,4,2,3]=>[3,2,4,8,6,1,7,5]=>[[1,3,4,7],[2,5],[6,8]]=>13 [4,7,8,5,6,2,3,1]=>[7,4,8,5,2,6,3,1]=>[1,3,6,2,5,8,4,7]=>[[1,2,3,6],[4,5,8],[7]]=>21 [2,7,8,5,6,1,4,3]=>[7,5,2,8,6,4,1,3]=>[3,1,4,6,8,2,5,7]=>[[1,3,4,5],[2,6,7,8]]=>18 [4,7,8,1,2,5,6,3]=>[1,4,7,2,8,5,6,3]=>[3,6,5,8,2,7,4,1]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [8,6,4,1,2,5,7,3]=>[1,2,4,6,5,8,7,3]=>[3,7,8,5,6,4,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [6,1,4,7,2,5,8,3]=>[6,1,4,7,2,5,8,3]=>[3,8,5,2,7,4,1,6]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [6,7,8,2,1,5,3,4]=>[2,1,6,7,3,8,5,4]=>[4,5,8,3,7,6,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [8,6,2,1,7,5,4,3]=>[2,8,6,7,1,5,4,3]=>[3,4,5,1,7,6,8,2]=>[[1,2,3,5,7],[4,6],[8]]=>19 [5,6,3,2,7,4,1,8]=>[5,3,2,6,7,4,1,8]=>[8,1,4,7,6,2,3,5]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [2,6,4,3,7,5,8,1]=>[6,2,4,7,3,5,8,1]=>[1,8,5,3,7,4,2,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [8,2,4,7,1,5,3,6]=>[4,2,8,5,1,3,7,6]=>[6,7,3,1,5,8,2,4]=>[[1,2,6],[3,5,8],[4,7]]=>15 [5,2,3,7,8,4,1,6]=>[5,7,2,3,8,4,1,6]=>[6,1,4,8,3,2,7,5]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [7,2,3,6,1,8,4,5]=>[2,7,3,6,1,4,8,5]=>[5,8,4,1,6,3,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [5,2,7,3,6,8,4,1]=>[5,7,2,3,6,8,4,1]=>[1,4,8,6,3,2,7,5]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [2,5,6,7,3,8,4,1]=>[5,6,2,7,8,3,4,1]=>[1,4,3,8,7,2,6,5]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [4,1,5,8,6,2,7,3]=>[4,8,5,1,2,6,7,3]=>[3,7,6,2,1,5,8,4]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [3,4,6,5,7,1,2,8]=>[6,3,4,5,1,7,2,8]=>[8,2,7,1,5,4,3,6]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [2,4,7,5,6,3,1,8]=>[4,7,5,6,2,3,1,8]=>[8,1,3,2,6,5,7,4]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [7,6,2,3,5,4,8,1]=>[7,2,3,6,5,4,8,1]=>[1,8,4,5,6,3,2,7]=>[[1,2,4,5,8],[3],[6],[7]]=>17 [8,5,2,4,3,6,1,7]=>[5,2,4,3,6,1,8,7]=>[7,8,1,6,3,4,2,5]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [8,5,7,2,4,1,6,3]=>[5,2,1,8,4,7,6,3]=>[3,6,7,4,8,1,2,5]=>[[1,2,3,5],[4,7,8],[6]]=>20 [2,6,7,5,8,1,4,3]=>[6,7,5,2,8,4,1,3]=>[3,1,4,8,2,5,7,6]=>[[1,3,4,7],[2,5,6],[8]]=>16 [2,6,7,5,8,3,4,1]=>[6,7,5,2,8,3,4,1]=>[1,4,3,8,2,5,7,6]=>[[1,2,4,7],[3,6],[5,8]]=>17 [2,5,8,7,6,3,4,1]=>[8,7,5,2,6,3,4,1]=>[1,4,3,6,2,5,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>18 [7,3,2,4,1,6,5,8]=>[3,2,4,7,1,6,5,8]=>[8,5,6,1,7,4,2,3]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [8,3,2,7,5,4,6,1]=>[3,8,5,2,4,7,6,1]=>[1,6,7,4,2,5,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>18 [5,4,2,7,1,6,3,8]=>[2,5,4,7,1,6,3,8]=>[8,3,6,1,7,4,5,2]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [8,3,7,1,6,4,2,5]=>[3,8,1,7,4,2,6,5]=>[5,6,2,4,7,1,8,3]=>[[1,2,5,7],[3,4],[6,8]]=>18 [2,4,7,8,6,3,5,1]=>[7,8,6,4,2,3,5,1]=>[1,5,3,2,4,6,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>16 [5,7,4,1,6,8,2,3]=>[5,1,7,4,6,2,8,3]=>[3,8,2,6,4,7,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [6,5,1,2,8,3,4,7]=>[1,6,2,5,3,8,4,7]=>[7,4,8,3,5,2,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [6,4,2,8,3,7,1,5]=>[2,4,6,8,3,1,7,5]=>[5,7,1,3,8,6,4,2]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [3,7,4,8,6,1,2,5]=>[7,8,3,1,6,4,2,5]=>[5,2,4,6,1,3,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>16 [6,1,8,5,3,2,4,7]=>[6,3,1,2,8,5,4,7]=>[7,4,5,8,2,1,3,6]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [1,6,8,5,3,2,4,7]=>[8,1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>13 [8,5,2,1,3,7,4,6]=>[2,5,1,3,8,4,7,6]=>[6,7,4,8,3,1,5,2]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [5,8,1,6,7,4,2,3]=>[5,8,6,1,2,7,4,3]=>[3,4,7,2,1,6,8,5]=>[[1,2,3,7],[4,6],[5,8]]=>18 [3,6,4,2,8,1,5,7]=>[3,6,8,4,2,1,5,7]=>[7,5,1,2,4,8,6,3]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [7,2,6,5,1,3,8,4]=>[2,1,7,6,3,5,8,4]=>[4,8,5,3,6,7,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [5,2,8,3,1,7,4,6]=>[2,5,8,3,1,7,4,6]=>[6,4,7,1,3,8,5,2]=>[[1,3,6],[2,5,7],[4],[8]]=>13 [5,2,1,8,3,7,4,6]=>[5,8,2,1,3,7,4,6]=>[6,4,7,3,1,2,8,5]=>[[1,3,7],[2,6,8],[4],[5]]=>11 [8,2,5,7,3,4,1,6]=>[2,8,5,3,4,1,7,6]=>[6,7,1,4,3,5,8,2]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [7,5,2,8,3,1,4,6]=>[5,2,3,1,7,4,8,6]=>[6,8,4,7,1,3,2,5]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [1,7,8,4,6,2,3,5]=>[7,1,8,2,6,4,3,5]=>[5,3,4,6,2,8,1,7]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [7,1,8,4,6,2,3,5]=>[7,1,8,2,4,3,6,5]=>[5,6,3,4,2,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [1,8,6,5,4,7,2,3]=>[6,5,4,1,8,7,2,3]=>[3,2,7,8,1,4,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>17 [4,1,6,8,7,3,2,5]=>[4,6,8,1,7,3,2,5]=>[5,2,3,7,1,8,6,4]=>[[1,3,4,6],[2,7],[5,8]]=>14 [5,1,4,6,7,3,8,2]=>[5,4,6,7,1,3,8,2]=>[2,8,3,1,7,6,4,5]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [4,8,6,1,5,7,2,3]=>[8,1,4,6,5,2,7,3]=>[3,7,2,5,6,4,1,8]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [4,1,6,2,5,7,8,3]=>[4,6,1,2,5,7,8,3]=>[3,8,7,5,2,1,6,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [3,4,8,2,5,7,1,6]=>[3,4,8,7,2,5,1,6]=>[6,1,5,2,7,8,4,3]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [2,8,5,1,3,4,7,6]=>[2,1,3,8,5,7,4,6]=>[6,4,7,5,8,3,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [8,7,1,4,6,3,2,5]=>[8,4,3,1,2,7,6,5]=>[5,6,7,2,1,3,4,8]=>[[1,2,3,8],[4,6,7],[5]]=>19 [5,7,1,3,6,8,2,4]=>[5,7,1,3,6,2,8,4]=>[4,8,2,6,3,1,7,5]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [6,5,2,8,4,7,1,3]=>[6,8,2,5,4,1,7,3]=>[3,7,1,4,5,2,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>18 [1,4,7,5,8,6,3,2]=>[4,7,8,5,6,3,1,2]=>[2,1,3,6,5,8,7,4]=>[[1,3,4,6],[2,5,7],[8]]=>14 [8,5,7,2,3,6,1,4]=>[2,5,8,3,1,7,6,4]=>[4,6,7,1,3,8,5,2]=>[[1,2,3,6],[4,5,7],[8]]=>20 [7,8,1,3,5,4,2,6]=>[7,1,5,3,4,2,8,6]=>[6,8,2,4,3,5,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [4,7,1,6,8,3,5,2]=>[7,4,6,1,8,3,5,2]=>[2,5,3,8,1,6,4,7]=>[[1,2,4,8],[3,6],[5,7]]=>16 [4,2,5,8,6,3,7,1]=>[2,8,4,5,6,3,7,1]=>[1,7,3,6,5,4,8,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>14 [8,2,5,6,3,1,7,4]=>[5,2,3,1,8,6,7,4]=>[4,7,6,8,1,3,2,5]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [6,8,2,4,7,3,1,5]=>[6,8,2,4,3,1,7,5]=>[5,7,1,3,4,2,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>18 [8,7,1,4,2,3,6,5]=>[1,4,8,2,3,7,6,5]=>[5,6,7,3,2,8,4,1]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [7,1,8,4,2,5,3,6]=>[1,4,7,5,2,3,8,6]=>[6,8,3,2,5,7,4,1]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [1,4,8,7,5,2,6,3]=>[4,1,8,7,5,6,2,3]=>[3,2,6,5,7,8,1,4]=>[[1,3,5,6],[2,4],[7,8]]=>14 [1,4,7,8,5,3,6,2]=>[7,4,8,5,3,6,1,2]=>[2,1,6,3,5,8,4,7]=>[[1,3,5,6],[2,4,8],[7]]=>14 [4,1,8,6,5,7,3,2]=>[8,4,6,5,7,1,3,2]=>[2,3,1,7,5,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>16 [1,5,6,4,2,3,7,8]=>[5,1,6,4,2,3,7,8]=>[8,7,3,2,4,6,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [5,7,3,6,8,4,2,1]=>[5,7,3,6,8,4,2,1]=>[1,2,4,8,6,3,7,5]=>[[1,2,3,4,7],[5,8],[6]]=>20 [7,4,6,2,5,8,1,3]=>[4,7,2,6,5,1,8,3]=>[3,8,1,5,6,2,7,4]=>[[1,2,5,7],[3,4,8],[6]]=>18 [8,7,3,4,2,6,1,5]=>[3,4,8,2,1,7,6,5]=>[5,6,7,1,2,8,4,3]=>[[1,2,3,6],[4,5,7],[8]]=>20 [6,2,3,4,7,1,5,8]=>[2,3,4,6,1,7,5,8]=>[8,5,7,1,6,4,3,2]=>[[1,3],[2,5],[4],[6],[7],[8]]=>10 [5,8,7,4,2,1,3,6]=>[2,1,8,7,5,4,3,6]=>[6,3,4,5,7,8,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>19 [5,2,1,3,8,6,4,7]=>[2,5,8,1,3,6,4,7]=>[7,4,6,3,1,8,5,2]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [3,1,5,2,7,8,6,4]=>[3,7,8,1,5,6,2,4]=>[4,2,6,5,1,8,7,3]=>[[1,3,6],[2,4,7],[5,8]]=>9 [6,3,2,5,1,8,7,4]=>[3,6,2,8,1,5,7,4]=>[4,7,5,1,8,2,6,3]=>[[1,2,5],[3,6,7],[4,8]]=>13 [1,8,7,3,2,5,4,6]=>[3,8,1,2,7,5,4,6]=>[6,4,5,7,2,1,8,3]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [1,2,5,4,8,7,3,6]=>[8,5,7,4,1,2,3,6]=>[6,3,2,1,4,7,5,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [1,2,4,8,6,3,5,7]=>[8,6,1,4,2,3,5,7]=>[7,5,3,2,4,1,6,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>7 [1,5,2,4,7,3,8,6]=>[5,7,1,4,8,2,3,6]=>[6,3,2,8,4,1,7,5]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [2,7,4,1,8,6,3,5]=>[2,7,8,4,1,6,3,5]=>[5,3,6,1,4,8,7,2]=>[[1,3,6],[2,5,7],[4,8]]=>13 [8,6,3,5,7,4,1,2]=>[6,3,5,1,8,7,4,2]=>[2,4,7,8,1,5,3,6]=>[[1,2,3,4],[5,6,8],[7]]=>22 [8,5,3,2,1,4,7,6]=>[3,2,1,5,8,4,7,6]=>[6,7,4,8,5,1,2,3]=>[[1,2,4],[3,5,8],[6,7]]=>15 [1,7,3,4,2,6,8,5]=>[1,3,7,4,6,8,2,5]=>[5,2,8,6,4,7,3,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [7,4,6,8,5,2,1,3]=>[7,4,6,2,1,8,5,3]=>[3,5,8,1,2,6,4,7]=>[[1,2,3,8],[4,5,6],[7]]=>21 [1,5,3,2,7,8,4,6]=>[5,7,8,1,3,2,4,6]=>[6,4,2,3,1,8,7,5]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [3,1,8,5,2,6,4,7]=>[3,1,5,8,6,2,4,7]=>[7,4,2,6,8,5,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [5,2,1,3,7,4,8,6]=>[2,5,1,3,7,8,4,6]=>[6,4,8,7,3,1,5,2]=>[[1,3],[2,4],[5,7],[6,8]]=>8 [4,1,8,6,2,3,7,5]=>[1,4,2,8,6,7,3,5]=>[5,3,7,6,8,2,4,1]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [4,8,6,3,2,7,5,1]=>[6,4,3,8,7,2,5,1]=>[1,5,2,7,8,3,4,6]=>[[1,2,4,5,8],[3,6,7]]=>19 [1,4,7,3,6,8,5,2]=>[4,7,6,8,3,5,1,2]=>[2,1,5,3,8,6,7,4]=>[[1,3,5,7],[2,4,6],[8]]=>12 [1,6,3,5,7,8,4,2]=>[6,3,5,7,8,4,1,2]=>[2,1,4,8,7,5,3,6]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [1,5,6,3,2,7,8,4]=>[1,5,6,3,7,8,2,4]=>[4,2,8,7,3,6,5,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [1,2,7,6,8,4,5,3]=>[7,6,4,8,5,1,2,3]=>[3,2,1,5,8,4,6,7]=>[[1,4,5,8],[2,6,7],[3]]=>12 [1,8,4,7,5,3,2,6]=>[4,8,7,5,1,3,2,6]=>[6,2,3,1,5,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>15 [1,2,6,8,4,3,7,5]=>[6,1,8,4,7,2,3,5]=>[5,3,2,7,4,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [5,3,7,2,6,4,1,8]=>[3,5,7,2,6,4,1,8]=>[8,1,4,6,2,7,5,3]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [5,3,8,2,6,1,7,4]=>[8,3,5,2,1,6,7,4]=>[4,7,6,1,2,5,3,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [7,6,2,5,3,4,1,8]=>[2,7,3,6,5,4,1,8]=>[8,1,4,5,6,3,7,2]=>[[1,3,4,5,7],[2],[6],[8]]=>17 [7,6,2,4,5,3,1,8]=>[2,7,4,6,5,3,1,8]=>[8,1,3,5,6,4,7,2]=>[[1,3,4,5,7],[2],[6],[8]]=>17 [7,6,2,4,3,5,1,8]=>[4,2,3,7,6,5,1,8]=>[8,1,5,6,7,3,2,4]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [7,6,2,3,5,4,1,8]=>[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[[1,3,4,5,8],[2],[6],[7]]=>16 [4,6,3,2,8,1,7,5]=>[6,4,8,3,2,7,1,5]=>[5,1,7,2,3,8,4,6]=>[[1,3,5,6,8],[2,4,7]]=>14 [8,7,6,1,5,3,2,4]=>[8,1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1,8]=>[[1,2,3,4,8],[5,6],[7]]=>22 [8,7,6,1,5,4,2,3]=>[1,8,7,2,6,5,4,3]=>[3,4,5,6,2,7,8,1]=>[[1,2,3,4,6,7],[5],[8]]=>23 [5,3,7,2,8,1,6,4]=>[3,5,7,2,8,1,6,4]=>[4,6,1,8,2,7,5,3]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [8,7,6,1,2,5,3,4]=>[1,8,2,3,7,6,5,4]=>[4,5,6,7,3,2,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>20 [8,7,6,1,2,5,4,3]=>[8,7,1,2,6,5,4,3]=>[3,4,5,6,2,1,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>21 [8,7,6,1,4,2,5,3]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[[1,2,3,4,6],[5],[7],[8]]=>21 [4,7,5,8,6,1,3,2]=>[4,7,5,8,1,6,3,2]=>[2,3,6,1,8,5,7,4]=>[[1,2,3,5],[4,6,7],[8]]=>19 [6,5,7,3,8,4,1,2]=>[6,5,3,7,1,8,4,2]=>[2,4,8,1,7,3,5,6]=>[[1,2,3,8],[4,5,7],[6]]=>20 [8,7,5,4,1,2,6,3]=>[1,2,5,4,8,7,6,3]=>[3,6,7,8,4,5,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [8,6,7,1,5,3,2,4]=>[6,3,1,2,8,7,5,4]=>[4,5,7,8,2,1,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>21 [5,7,8,1,3,4,2,6]=>[7,1,3,8,5,4,2,6]=>[6,2,4,5,8,3,1,7]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [7,8,5,1,3,4,2,6]=>[1,7,3,5,4,2,8,6]=>[6,8,2,4,5,3,7,1]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [5,7,8,3,4,6,1,2]=>[7,3,8,5,4,1,6,2]=>[2,6,1,4,5,8,3,7]=>[[1,2,5,6],[3,4,8],[7]]=>20 [5,7,1,3,4,2,8,6]=>[1,7,3,5,4,8,2,6]=>[6,2,8,4,5,3,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [1,7,3,8,2,5,6,4]=>[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [1,5,7,3,8,2,6,4]=>[5,7,1,8,3,6,2,4]=>[4,2,6,3,8,1,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>12 [7,1,5,3,6,2,4,8]=>[1,7,3,5,2,6,4,8]=>[8,4,6,2,5,3,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [1,7,3,5,8,4,2,6]=>[7,8,1,5,3,4,2,6]=>[6,2,4,3,5,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [1,7,8,5,3,6,2,4]=>[7,1,5,8,6,3,2,4]=>[4,2,3,6,8,5,1,7]=>[[1,3,4,5],[2,6,8],[7]]=>16 [7,1,5,6,3,4,2,8]=>[5,1,7,6,3,4,2,8]=>[8,2,4,3,6,7,1,5]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [3,7,5,8,4,1,2,6]=>[7,8,3,1,5,4,2,6]=>[6,2,4,5,1,3,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>16 [5,3,4,7,8,1,2,6]=>[3,5,7,1,8,4,2,6]=>[6,2,4,8,1,7,5,3]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [5,3,7,6,8,1,2,4]=>[7,3,5,1,6,2,8,4]=>[4,8,2,6,1,5,3,7]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [3,1,2,7,5,8,4,6]=>[3,7,8,1,5,2,4,6]=>[6,4,2,5,1,8,7,3]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [3,1,2,5,7,8,6,4]=>[7,8,1,3,5,6,2,4]=>[4,2,6,5,3,1,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [7,3,5,1,2,6,4,8]=>[1,3,2,7,5,6,4,8]=>[8,4,6,5,7,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [5,3,1,7,4,6,8,2]=>[5,1,3,7,4,6,8,2]=>[2,8,6,4,7,3,1,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [7,4,8,3,5,6,1,2]=>[7,4,3,5,1,8,6,2]=>[2,6,8,1,5,3,4,7]=>[[1,2,3,8],[4,5,7],[6]]=>20 [5,7,6,4,2,3,1,8]=>[7,5,2,6,4,3,1,8]=>[8,1,3,4,6,2,5,7]=>[[1,3,4,5,8],[2,7],[6]]=>18 [7,5,8,4,6,2,1,3]=>[5,7,4,2,1,8,6,3]=>[3,6,8,1,2,4,7,5]=>[[1,2,3,7],[4,5,6],[8]]=>22 [6,1,4,8,5,2,7,3]=>[1,6,8,4,2,5,7,3]=>[3,7,5,2,4,8,6,1]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [5,8,1,2,3,6,7,4]=>[5,1,2,8,3,6,7,4]=>[4,7,6,3,8,2,1,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [5,6,8,4,7,2,1,3]=>[8,5,6,4,2,1,7,3]=>[3,7,1,2,4,6,5,8]=>[[1,2,5,6,8],[3,4],[7]]=>20 [3,4,5,8,1,6,7,2]=>[8,3,4,5,1,6,7,2]=>[2,7,6,1,5,4,3,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [4,3,2,7,8,6,1,5]=>[4,7,8,3,6,2,1,5]=>[5,1,2,6,3,8,7,4]=>[[1,3,4,6],[2,5,7],[8]]=>14 [6,8,7,4,3,1,2,5]=>[1,8,6,4,3,2,7,5]=>[5,7,2,3,4,6,8,1]=>[[1,2,5,6,7],[3,4],[8]]=>21 [7,5,2,4,3,8,1,6]=>[5,2,4,3,7,1,8,6]=>[6,8,1,7,3,4,2,5]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [8,1,7,4,3,2,5,6]=>[4,3,1,2,8,5,7,6]=>[6,7,5,8,2,1,3,4]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [4,8,1,3,2,6,7,5]=>[4,1,3,6,8,7,2,5]=>[5,2,7,8,6,3,1,4]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [3,5,1,8,2,6,7,4]=>[5,8,3,1,6,7,2,4]=>[4,2,7,6,1,3,8,5]=>[[1,3,7],[2,4,8],[5,6]]=>11 [3,8,1,2,4,6,7,5]=>[3,1,8,2,6,7,4,5]=>[5,4,7,6,2,8,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [5,2,3,8,1,7,4,6]=>[5,8,2,3,1,7,4,6]=>[6,4,7,1,3,2,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [2,3,5,7,1,6,4,8]=>[7,5,2,3,6,1,4,8]=>[8,4,1,6,3,2,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [1,5,3,8,2,4,6,7]=>[8,1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>8 [8,6,2,7,5,1,4,3]=>[6,2,8,7,1,5,4,3]=>[3,4,5,1,7,8,2,6]=>[[1,2,3,5,6],[4,7,8]]=>21 [2,7,1,8,6,3,5,4]=>[7,2,8,6,1,5,3,4]=>[4,3,5,1,6,8,2,7]=>[[1,3,5,6],[2,7,8],[4]]=>14 [5,7,6,1,3,2,8,4]=>[7,1,5,3,2,6,8,4]=>[4,8,6,2,3,5,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [8,1,7,5,3,6,4,2]=>[1,5,8,7,6,3,4,2]=>[2,4,3,6,7,8,5,1]=>[[1,2,4,5,6],[3,7],[8]]=>19 [8,6,5,3,7,4,2,1]=>[3,6,5,8,7,4,2,1]=>[1,2,4,7,8,5,6,3]=>[[1,2,3,4,5],[6,7],[8]]=>24 [3,5,4,6,1,7,8,2]=>[5,3,4,1,6,7,8,2]=>[2,8,7,6,1,4,3,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [8,1,5,4,6,3,7,2]=>[8,1,5,4,6,3,7,2]=>[2,7,3,6,4,5,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>16 [4,7,5,1,8,6,2,3]=>[1,4,7,8,5,2,6,3]=>[3,6,2,5,8,7,4,1]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [8,4,2,5,6,3,7,1]=>[2,4,5,6,3,8,7,1]=>[1,7,8,3,6,5,4,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [8,6,2,7,5,4,3,1]=>[6,8,7,2,5,4,3,1]=>[1,3,4,5,2,7,8,6]=>[[1,2,3,4,6,7],[5,8]]=>23 [3,5,6,4,1,7,2,8]=>[5,6,3,1,4,7,2,8]=>[8,2,7,4,1,3,6,5]=>[[1,3,7],[2,6,8],[4],[5]]=>11 [2,5,6,1,7,4,3,8]=>[5,2,6,7,4,1,3,8]=>[8,3,1,4,7,6,2,5]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [3,7,6,1,8,5,4,2]=>[7,3,6,8,5,1,4,2]=>[2,4,1,5,8,6,3,7]=>[[1,2,4,5,8],[3,6],[7]]=>17 [8,6,4,2,1,3,5,7,9]=>[2,1,4,3,6,5,8,7,9]=>[9,7,8,5,6,3,4,1,2]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>16 [9,7,5,3,1,2,4,6,8]=>[1,3,2,5,4,7,6,9,8]=>[8,9,6,7,4,5,2,3,1]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>20 [10,8,6,4,2,1,3,5,7,9]=>[2,1,4,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>25 [6,2,8,3,1,4,5,7]=>[2,3,1,6,4,8,5,7]=>[7,5,8,4,6,1,3,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [2,7,8,3,1,4,5,6]=>[2,3,1,7,4,8,5,6]=>[6,5,8,4,7,1,3,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [1,5,3,2,8,6,7,4]=>[8,5,1,3,6,7,2,4]=>[4,2,7,6,3,1,5,8]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [1,8,5,3,2,6,7,4]=>[5,1,3,6,8,7,2,4]=>[4,2,7,8,6,3,1,5]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [1,7,8,5,6,3,2,4]=>[1,7,5,8,6,3,2,4]=>[4,2,3,6,8,5,7,1]=>[[1,3,4,5],[2,6,7],[8]]=>17 [1,8,5,6,3,2,7,4]=>[1,5,6,3,8,7,2,4]=>[4,2,7,8,3,6,5,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [1,5,6,7,3,2,8,4]=>[5,1,6,7,3,8,2,4]=>[4,2,8,3,7,6,1,5]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [1,7,5,2,3,4,8,6]=>[1,2,7,3,5,8,4,6]=>[6,4,8,5,3,7,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [1,7,5,2,4,8,6,3]=>[5,1,4,7,8,6,2,3]=>[3,2,6,8,7,4,1,5]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [1,8,5,2,4,6,7,3]=>[5,1,4,6,8,7,2,3]=>[3,2,7,8,6,4,1,5]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [1,7,8,3,2,4,5,6]=>[3,1,2,7,4,8,5,6]=>[6,5,8,4,7,2,1,3]=>[[1,3],[2,5],[4,8],[6],[7]]=>11 [1,4,5,8,6,7,2,3]=>[4,8,5,6,1,7,2,3]=>[3,2,7,1,6,5,8,4]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [1,8,4,5,6,7,2,3]=>[4,5,6,1,8,7,2,3]=>[3,2,7,8,1,6,5,4]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [1,2,8,6,3,4,5,7]=>[1,2,8,3,6,4,5,7]=>[7,5,4,6,3,8,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>8 [1,2,7,4,3,8,5,6]=>[7,8,1,2,4,3,5,6]=>[6,5,3,4,2,1,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [1,2,7,8,4,3,5,6]=>[1,2,7,8,4,3,5,6]=>[6,5,3,4,8,7,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [1,8,6,7,4,2,3,5]=>[6,1,2,8,7,4,3,5]=>[5,3,4,7,8,2,1,6]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [1,6,7,8,4,2,3,5]=>[1,6,7,2,8,4,3,5]=>[5,3,4,8,2,7,6,1]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [1,6,7,3,5,2,8,4]=>[6,7,1,5,3,8,2,4]=>[4,2,8,3,5,1,7,6]=>[[1,3,5,7],[2,4],[6,8]]=>12 [1,7,8,4,2,3,5,6]=>[1,7,2,4,3,8,5,6]=>[6,5,8,3,4,2,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [1,7,8,3,4,2,5,6]=>[1,7,3,4,2,8,5,6]=>[6,5,8,2,4,3,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [1,5,8,6,7,2,3,4]=>[5,1,8,6,2,7,3,4]=>[4,3,7,2,6,8,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [1,2,3,7,8,5,4,6]=>[1,7,8,5,2,3,4,6]=>[6,4,3,2,5,8,7,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [1,2,8,6,7,3,4,5]=>[1,6,2,8,7,3,4,5]=>[5,4,3,7,8,2,6,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [1,7,8,4,5,2,3,6]=>[7,4,1,2,8,5,3,6]=>[6,3,5,8,2,1,4,7]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [1,7,8,3,4,5,2,6]=>[1,7,3,4,8,5,2,6]=>[6,2,5,8,4,3,7,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [1,8,4,5,6,2,3,7]=>[1,8,4,5,2,6,3,7]=>[7,3,6,2,5,4,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [8,2,5,6,3,4,1,7]=>[5,2,6,3,4,1,8,7]=>[7,8,1,4,3,6,2,5]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [5,8,2,7,3,4,1,6]=>[2,5,3,8,7,4,1,6]=>[6,1,4,7,8,3,5,2]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [6,8,7,2,3,4,1,5]=>[2,3,8,6,4,1,7,5]=>[5,7,1,4,6,8,3,2]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [8,2,3,6,4,5,1,7]=>[2,6,3,4,5,1,8,7]=>[7,8,1,5,4,3,6,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>14 [8,2,4,6,3,5,1,7]=>[6,4,2,3,5,1,8,7]=>[7,8,1,5,3,2,4,6]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [3,4,2,7,8,5,1,6]=>[7,8,3,4,2,5,1,6]=>[6,1,5,2,4,3,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [4,8,7,3,2,5,1,6]=>[4,3,2,8,7,5,1,6]=>[6,1,5,7,8,2,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>18 [5,8,2,1,3,7,6,4]=>[2,8,1,5,7,3,6,4]=>[4,6,3,7,5,1,8,2]=>[[1,2,4,7],[3,5],[6,8]]=>14 [5,2,8,3,6,7,4,1]=>[8,5,2,3,6,7,4,1]=>[1,4,7,6,3,2,5,8]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [3,1,8,4,6,2,7,5]=>[3,8,6,1,4,7,2,5]=>[5,2,7,4,1,6,8,3]=>[[1,3,6,7],[2,4],[5,8]]=>11 [1,8,7,6,4,3,5,2]=>[4,3,8,7,6,5,1,2]=>[2,1,5,6,7,8,3,4]=>[[1,3,4,5,6],[2,7,8]]=>19 [6,8,7,3,2,4,1,5]=>[3,2,8,6,4,1,7,5]=>[5,7,1,4,6,8,2,3]=>[[1,2,5,6],[3,4],[7,8]]=>20 [2,8,7,6,5,3,1,4]=>[2,8,7,6,5,3,1,4]=>[4,1,3,5,6,7,8,2]=>[[1,3,4,5,6,7],[2],[8]]=>20 [2,8,7,6,4,5,1,3]=>[4,8,7,6,5,2,1,3]=>[3,1,2,5,6,7,8,4]=>[[1,3,4,5,6,7],[2,8]]=>20 [3,8,7,6,4,2,5,1]=>[3,8,7,6,4,2,5,1]=>[1,5,2,4,6,7,8,3]=>[[1,2,4,5,6,7],[3],[8]]=>21 [1,3,4,7,5,2,8,6]=>[3,7,4,5,8,1,2,6]=>[6,2,1,8,5,4,7,3]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [4,8,7,6,2,5,1,3]=>[4,8,7,6,2,1,5,3]=>[3,5,1,2,6,7,8,4]=>[[1,2,5,6,7],[3,4,8]]=>21 [4,8,7,6,3,1,5,2]=>[1,8,7,6,4,3,5,2]=>[2,5,3,4,6,7,8,1]=>[[1,2,4,5,6,7],[3],[8]]=>21 [3,5,2,4,7,6,8,1]=>[5,3,7,2,4,6,8,1]=>[1,8,6,4,2,7,3,5]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [5,3,2,6,7,4,8,1]=>[3,2,5,6,7,4,8,1]=>[1,8,4,7,6,5,2,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [7,3,5,2,8,4,6,1]=>[5,3,7,2,4,8,6,1]=>[1,6,8,4,2,7,3,5]=>[[1,2,3,8],[4,6],[5,7]]=>17 [3,5,2,7,4,6,8,1]=>[5,7,3,2,4,6,8,1]=>[1,8,6,4,2,3,7,5]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [3,2,5,7,4,6,8,1]=>[7,3,5,2,4,6,8,1]=>[1,8,6,4,2,5,3,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [2,3,7,5,4,8,6,1]=>[7,2,5,8,3,4,6,1]=>[1,6,4,3,8,5,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [8,3,5,1,6,4,7,2]=>[3,5,6,1,4,8,7,2]=>[2,7,8,4,1,6,5,3]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [8,4,5,6,1,3,7,2]=>[4,1,5,6,3,8,7,2]=>[2,7,8,3,6,5,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [3,4,7,6,8,2,5,1]=>[7,6,8,3,4,2,5,1]=>[1,5,2,4,3,8,6,7]=>[[1,2,4,6,8],[3,7],[5]]=>16 [3,8,5,2,1,4,6,7]=>[5,3,2,1,4,8,6,7]=>[7,6,8,4,1,2,3,5]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [8,1,6,7,3,4,2,5]=>[1,8,6,3,4,2,7,5]=>[5,7,2,4,3,6,8,1]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [8,2,1,6,7,4,3,5]=>[8,2,6,4,1,3,7,5]=>[5,7,3,1,4,6,2,8]=>[[1,2,6,8],[3,5],[4,7]]=>15 [5,2,8,6,3,7,1,4]=>[8,2,5,3,6,1,7,4]=>[4,7,1,6,3,5,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [7,6,8,1,2,5,4,3]=>[7,1,2,6,8,5,4,3]=>[3,4,5,8,6,2,1,7]=>[[1,2,3,4,8],[5],[6],[7]]=>19 [2,1,3,4,8,5,7,6]=>[2,8,7,1,3,4,5,6]=>[6,5,4,3,1,7,8,2]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [1,2,3,4,5,6,9,10,7,8]=>[9,1,10,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,10,1,9]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>4 [5,7,1,2,6,8,3,4]=>[7,1,2,5,6,3,8,4]=>[4,8,3,6,5,2,1,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [1,5,2,3,6,8,7,4]=>[8,1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [2,7,4,3,1,8,5,6]=>[4,2,3,7,1,8,5,6]=>[6,5,8,1,7,3,2,4]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [2,5,4,6,8,3,1,7]=>[5,8,4,6,2,3,1,7]=>[7,1,3,2,6,4,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>12 [7,4,6,5,8,2,1,3]=>[7,4,6,5,2,1,8,3]=>[3,8,1,2,5,6,4,7]=>[[1,2,5,6,8],[3,4],[7]]=>20 [8,6,4,7,5,1,2,3]=>[4,1,6,2,8,7,5,3]=>[3,5,7,8,2,6,1,4]=>[[1,2,3,4],[5,6],[7,8]]=>22 [1,6,2,5,8,7,4,3]=>[6,8,5,7,1,4,2,3]=>[3,2,4,1,7,5,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>12 [2,3,8,5,6,4,1,7]=>[2,8,5,6,3,4,1,7]=>[7,1,4,3,6,5,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [2,8,4,3,1,6,5,7]=>[4,2,3,8,1,6,5,7]=>[7,5,6,1,8,3,2,4]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [6,1,8,4,3,2,7,5]=>[6,4,3,8,1,2,7,5]=>[5,7,2,1,8,3,4,6]=>[[1,2,5,8],[3,6,7],[4]]=>14 [2,8,5,7,6,3,1,4]=>[8,5,2,7,6,3,1,4]=>[4,1,3,6,7,2,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>18 [8,5,3,1,7,6,4,2]=>[8,1,3,5,7,6,4,2]=>[2,4,6,7,5,3,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>19 [7,2,1,6,5,3,8,4]=>[7,6,2,1,3,5,8,4]=>[4,8,5,3,1,2,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [5,1,6,4,8,7,3,2]=>[5,6,8,4,7,1,3,2]=>[2,3,1,7,4,8,6,5]=>[[1,2,4,6],[3,5,7],[8]]=>15 [2,4,6,7,5,1,8,3]=>[6,7,4,5,2,8,1,3]=>[3,1,8,2,5,4,7,6]=>[[1,3,5,7],[2,4,8],[6]]=>12 [6,8,7,3,5,4,2,1]=>[6,8,3,7,5,4,2,1]=>[1,2,4,5,7,3,8,6]=>[[1,2,3,4,5,7],[6,8]]=>24 [8,10,9,7,6,1,5,4,3,2]=>[10,8,9,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,9,8,10]=>[[1,2,3,4,5,6,8,10],[7,9]]=>39 [3,1,2,8,5,7,4,6]=>[8,3,7,1,5,2,4,6]=>[6,4,2,5,1,7,3,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [7,3,1,2,5,8,4,6]=>[1,3,5,7,2,4,8,6]=>[6,8,4,2,7,5,3,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>11 [2,1,3,8,5,7,4,6]=>[8,2,7,5,1,3,4,6]=>[6,4,3,1,5,7,2,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [7,3,1,2,8,4,5,6]=>[3,1,7,2,4,5,8,6]=>[6,8,5,4,2,7,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>11 [7,2,4,5,3,8,1,6]=>[4,5,2,3,7,1,8,6]=>[6,8,1,7,3,2,5,4]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [8,4,2,5,6,7,3,1]=>[2,4,5,6,8,7,3,1]=>[1,3,7,8,6,5,4,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>18 [4,5,1,3,6,7,8,2]=>[1,4,5,3,6,7,8,2]=>[2,8,7,6,3,5,4,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>10 [5,1,7,6,3,4,8,2]=>[7,5,1,6,3,4,8,2]=>[2,8,4,3,6,1,5,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [6,1,7,5,4,8,2,3]=>[6,7,5,4,1,2,8,3]=>[3,8,2,1,4,5,7,6]=>[[1,2,6,7],[3,5],[4,8]]=>16 [1,5,8,2,4,7,6,3]=>[5,8,1,7,4,6,2,3]=>[3,2,6,4,7,1,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>12 [5,8,1,6,4,7,3,2]=>[5,8,6,1,4,7,3,2]=>[2,3,7,4,1,6,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>18 [3,8,6,5,7,2,4,1]=>[6,5,8,7,3,2,4,1]=>[1,4,2,3,7,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>20 [6,8,1,4,7,3,5,2]=>[6,8,4,1,3,7,5,2]=>[2,5,7,3,1,4,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>18 [1,6,8,2,7,4,5,3]=>[8,6,1,4,7,5,2,3]=>[3,2,5,7,4,1,6,8]=>[[1,3,4,8],[2,5,7],[6]]=>14 [5,7,2,1,8,4,3,6]=>[7,2,1,5,8,4,3,6]=>[6,3,4,8,5,1,2,7]=>[[1,3,4,8],[2,5],[6,7]]=>14 [5,7,1,6,8,3,2,4]=>[7,5,6,1,3,2,8,4]=>[4,8,2,3,1,6,5,7]=>[[1,2,6,8],[3,4],[5,7]]=>16 [5,6,2,1,8,3,4,7]=>[2,5,1,6,3,8,4,7]=>[7,4,8,3,6,1,5,2]=>[[1,3],[2,5],[4,7],[6,8]]=>12 [6,4,1,7,3,8,2,5]=>[4,6,1,3,7,2,8,5]=>[5,8,2,7,3,1,6,4]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [7,2,4,6,8,3,1,5]=>[7,4,6,2,3,1,8,5]=>[5,8,1,3,2,6,4,7]=>[[1,2,6,8],[3,4],[5,7]]=>16 [6,1,4,3,2,8,5,7]=>[4,3,6,1,2,8,5,7]=>[7,5,8,2,1,6,3,4]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [2,7,4,8,6,1,5,3]=>[7,8,4,2,6,5,1,3]=>[3,1,5,6,2,4,8,7]=>[[1,3,4,7],[2,5,6,8]]=>16 [3,7,8,6,4,2,5,1]=>[7,3,8,6,4,2,5,1]=>[1,5,2,4,6,8,3,7]=>[[1,2,4,5,6],[3,8],[7]]=>20 [6,2,8,4,7,5,1,3]=>[6,8,2,7,4,1,5,3]=>[3,5,1,4,7,2,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>18 [1,4,7,2,6,8,5,3]=>[7,4,6,8,1,5,2,3]=>[3,2,5,1,8,6,4,7]=>[[1,3,5,8],[2,6],[4,7]]=>11 [2,3,7,6,5,1,4,8]=>[7,6,5,2,3,1,4,8]=>[8,4,1,3,2,5,6,7]=>[[1,4,6,7,8],[2],[3],[5]]=>11 [3,2,7,6,4,1,5,8]=>[7,6,3,2,4,1,5,8]=>[8,5,1,4,2,3,6,7]=>[[1,4,6,7,8],[2],[3],[5]]=>11 [7,8,1,2,5,6,4,3]=>[7,1,8,2,5,6,4,3]=>[3,4,6,5,2,8,1,7]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [7,1,3,6,8,5,2,4]=>[7,6,8,3,1,2,5,4]=>[4,5,2,1,3,8,6,7]=>[[1,2,6,8],[3,5,7],[4]]=>15 [6,5,8,1,4,2,3,7]=>[6,1,2,8,5,4,3,7]=>[7,3,4,5,8,2,1,6]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [3,8,2,4,5,1,6,7]=>[3,2,4,5,1,8,6,7]=>[7,6,8,1,5,4,2,3]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [3,6,2,4,1,5,7,8]=>[3,2,6,4,1,5,7,8]=>[8,7,5,1,4,6,2,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [2,3,8,4,1,6,5,7]=>[2,3,4,8,6,1,5,7]=>[7,5,1,6,8,4,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [4,5,7,3,1,6,2,8]=>[7,4,1,5,3,6,2,8]=>[8,2,6,3,5,1,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [4,2,6,1,5,8,7,3]=>[2,4,6,8,1,5,7,3]=>[3,7,5,1,8,6,4,2]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [5,1,8,7,4,6,3,2]=>[8,7,5,4,6,1,3,2]=>[2,3,1,6,4,5,7,8]=>[[1,2,4,6,7,8],[3,5]]=>18 [5,7,2,8,6,1,4,3]=>[7,2,5,8,1,6,4,3]=>[3,4,6,1,8,5,2,7]=>[[1,2,3,5],[4,6,8],[7]]=>18 [6,2,8,7,4,1,3,5]=>[8,6,4,2,1,3,7,5]=>[5,7,3,1,2,4,6,8]=>[[1,2,6,7,8],[3,5],[4]]=>17 [2,4,8,6,5,1,3,7]=>[8,4,6,5,2,1,3,7]=>[7,3,1,2,5,6,4,8]=>[[1,4,5,6,8],[2,7],[3]]=>13 [3,5,7,6,1,8,4,2]=>[7,5,3,6,8,1,4,2]=>[2,4,1,8,6,3,5,7]=>[[1,2,4,8],[3,5,7],[6]]=>15 [3,5,7,6,2,8,4,1]=>[7,5,6,3,8,2,4,1]=>[1,4,2,8,3,6,5,7]=>[[1,2,4,6,8],[3,5],[7]]=>16 [2,5,7,6,1,8,3,4]=>[7,5,2,6,1,8,3,4]=>[4,3,8,1,6,2,5,7]=>[[1,3,7,8],[2,5],[4,6]]=>13 [2,5,3,8,7,6,4,1]=>[8,7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>15 [1,5,3,2,8,7,6,4]=>[8,5,7,1,3,6,2,4]=>[4,2,6,3,1,7,5,8]=>[[1,3,6,8],[2,4,7],[5]]=>10 [6,1,4,3,8,7,5,2]=>[6,8,1,4,7,3,5,2]=>[2,5,3,7,4,1,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>14 [6,2,4,1,8,7,5,3]=>[2,8,1,6,7,4,5,3]=>[3,5,4,7,6,1,8,2]=>[[1,2,4,7],[3,5],[6,8]]=>14 [3,4,1,8,7,5,2,6]=>[3,8,4,7,1,5,2,6]=>[6,2,5,1,7,4,8,3]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [4,5,2,8,7,6,3,1]=>[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[[1,2,3,6,8],[4,7],[5]]=>17 [6,4,1,8,7,5,2,3]=>[8,4,6,1,2,7,5,3]=>[3,5,7,2,1,6,4,8]=>[[1,2,3,8],[4,6],[5,7]]=>17 [4,2,5,1,8,6,3,7]=>[2,4,5,8,1,6,3,7]=>[7,3,6,1,8,5,4,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [3,6,2,8,1,7,4,5]=>[3,6,8,2,1,7,4,5]=>[5,4,7,1,2,8,6,3]=>[[1,3,6],[2,5,7],[4,8]]=>13 [2,8,4,1,3,7,6,5]=>[2,8,1,7,4,6,3,5]=>[5,3,6,4,7,1,8,2]=>[[1,3,5,7],[2,4],[6,8]]=>12 [3,8,1,4,7,6,5,2]=>[8,3,7,6,1,4,5,2]=>[2,5,4,1,6,7,3,8]=>[[1,2,5,6,8],[3,7],[4]]=>15 [4,2,7,3,8,6,5,1]=>[4,7,8,2,6,3,5,1]=>[1,5,3,6,2,8,7,4]=>[[1,2,4,6],[3,7],[5,8]]=>15 [2,7,1,8,3,6,5,4]=>[2,7,8,6,1,5,3,4]=>[4,3,5,1,6,8,7,2]=>[[1,3,5,6],[2,7],[4,8]]=>13 [5,1,2,8,6,4,3,7]=>[8,1,5,6,2,4,3,7]=>[7,3,4,2,6,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [6,2,3,8,7,5,4,1]=>[8,6,7,2,3,5,4,1]=>[1,4,5,3,2,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>17 [5,2,3,8,7,6,4,1]=>[8,7,2,3,5,6,4,1]=>[1,4,6,5,3,2,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>16 [2,8,1,3,7,6,4,5]=>[8,7,2,1,3,6,4,5]=>[5,4,6,3,1,2,7,8]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [2,8,6,7,5,4,3,1]=>[6,8,7,5,4,2,3,1]=>[1,3,2,4,5,7,8,6]=>[[1,2,4,5,6,7],[3,8]]=>21 [7,2,6,8,1,4,3,5]=>[2,7,6,4,1,3,8,5]=>[5,8,3,1,4,6,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>16 [5,3,6,2,8,4,7,1]=>[3,5,6,2,8,4,7,1]=>[1,7,4,8,2,6,5,3]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [8,1,6,3,7,4,5,2]=>[6,1,3,8,7,4,5,2]=>[2,5,4,7,8,3,1,6]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [2,6,5,7,3,8,4,1]=>[6,5,2,7,8,3,4,1]=>[1,4,3,8,7,2,5,6]=>[[1,2,4,8],[3,5],[6,7]]=>15 [6,8,2,7,4,1,5,3]=>[8,6,2,1,4,7,5,3]=>[3,5,7,4,1,2,6,8]=>[[1,2,3,8],[4,6,7],[5]]=>19 [6,1,7,8,5,3,2,4]=>[6,1,7,8,3,2,5,4]=>[4,5,2,3,8,7,1,6]=>[[1,2,5],[3,4,6],[7,8]]=>17 [2,6,5,4,7,1,8,3]=>[6,5,4,7,2,8,1,3]=>[3,1,8,2,7,4,5,6]=>[[1,3,5,7,8],[2,4],[6]]=>13 [5,8,3,4,6,1,7,2]=>[3,5,4,1,8,6,7,2]=>[2,7,6,8,1,4,5,3]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [4,8,3,1,5,7,6,2]=>[1,4,8,3,7,5,6,2]=>[2,6,5,7,3,8,4,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [8,3,4,5,2,7,1,6]=>[3,4,5,8,2,1,7,6]=>[6,7,1,2,8,5,4,3]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [6,7,1,5,3,4,8,2]=>[6,1,7,3,5,4,8,2]=>[2,8,4,5,3,7,1,6]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [6,5,3,4,7,1,8,2]=>[3,6,5,4,1,7,8,2]=>[2,8,7,1,4,5,6,3]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [5,3,4,7,1,6,8,2]=>[3,5,4,7,1,6,8,2]=>[2,8,6,1,7,4,5,3]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [8,2,6,7,1,5,3,4]=>[2,6,1,8,7,3,5,4]=>[4,5,3,7,8,1,6,2]=>[[1,2,4,5],[3,7],[6,8]]=>18 [8,3,4,7,1,5,2,6]=>[3,1,8,4,5,2,7,6]=>[6,7,2,5,4,8,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [3,7,1,5,2,6,8,4]=>[3,1,5,7,6,8,2,4]=>[4,2,8,6,7,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [8,3,4,6,7,1,5,2]=>[3,8,4,1,6,7,5,2]=>[2,5,7,6,1,4,8,3]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [7,1,6,8,3,4,5,2]=>[1,7,6,3,8,4,5,2]=>[2,5,4,8,3,6,7,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [6,7,1,8,3,4,5,2]=>[6,1,7,3,4,8,5,2]=>[2,5,8,4,3,7,1,6]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [8,7,1,6,3,4,5,2]=>[1,3,8,7,4,6,5,2]=>[2,5,6,4,7,8,3,1]=>[[1,2,3,5,6],[4],[7],[8]]=>20 [3,6,7,1,8,4,5,2]=>[3,6,7,1,8,4,5,2]=>[2,5,4,8,1,7,6,3]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [3,7,1,6,8,4,5,2]=>[7,6,8,3,1,4,5,2]=>[2,5,4,1,3,8,6,7]=>[[1,2,6,8],[3,5,7],[4]]=>15 [3,8,5,2,6,7,1,4]=>[5,3,6,8,7,2,1,4]=>[4,1,2,7,8,6,3,5]=>[[1,3,4,5],[2,6,8],[7]]=>16 [3,6,5,2,7,1,4,8]=>[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[[1,4,5,7,8],[2,6],[3]]=>12 [3,7,1,8,4,6,5,2]=>[7,3,8,6,1,4,5,2]=>[2,5,4,1,6,8,3,7]=>[[1,2,5,6],[3,7,8],[4]]=>15 [3,8,4,5,2,7,1,6]=>[3,4,5,8,7,2,1,6]=>[6,1,2,7,8,5,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [7,1,6,5,2,8,3,4]=>[7,1,6,5,2,3,8,4]=>[4,8,3,2,5,6,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [8,3,5,2,7,1,6,4]=>[3,2,5,8,7,1,6,4]=>[4,6,1,7,8,5,2,3]=>[[1,2,4,5],[3,6,8],[7]]=>17 [3,4,8,5,2,7,1,6]=>[3,4,8,5,7,2,1,6]=>[6,1,2,7,5,8,4,3]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [7,1,5,2,8,6,3,4]=>[7,8,1,2,5,3,6,4]=>[4,6,3,5,2,1,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [8,6,3,4,7,1,5,2]=>[3,4,1,6,8,7,5,2]=>[2,5,7,8,6,1,4,3]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [3,7,1,6,4,8,5,2]=>[7,6,3,8,1,4,5,2]=>[2,5,4,1,8,3,6,7]=>[[1,2,5,8],[3,6,7],[4]]=>14 [3,6,7,1,4,5,2,8]=>[3,6,1,7,4,5,2,8]=>[8,2,5,4,7,1,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [3,5,2,6,7,1,4,8]=>[5,3,6,7,2,1,4,8]=>[8,4,1,2,7,6,3,5]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [3,5,2,6,8,7,1,4]=>[5,8,3,6,7,2,1,4]=>[4,1,2,7,6,3,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>13 [2,5,4,6,7,8,1,3]=>[5,4,6,7,8,2,1,3]=>[3,1,2,8,7,6,4,5]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [2,3,7,6,5,8,1,4]=>[7,6,5,8,2,3,1,4]=>[4,1,3,2,8,5,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>13 [2,6,5,4,7,8,1,3]=>[6,5,4,7,8,2,1,3]=>[3,1,2,8,7,4,5,6]=>[[1,3,4,7,8],[2,5],[6]]=>14 [6,7,8,9,10,1,2,3,4,5,12,11]=>[6,1,7,2,8,3,9,4,10,12,5,11]=>[11,5,12,10,4,9,3,8,2,7,1,6]=>[[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]]=>26 [3,5,7,6,8,2,1,4]=>[7,5,6,8,3,2,1,4]=>[4,1,2,3,8,6,5,7]=>[[1,3,4,5,8],[2,6],[7]]=>16 [4,2,5,3,7,6,1,8]=>[2,4,5,7,3,6,1,8]=>[8,1,6,3,7,5,4,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [6,2,4,3,7,5,1,8]=>[4,2,3,6,7,5,1,8]=>[8,1,5,7,6,3,2,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [4,2,6,3,7,5,1,8]=>[4,2,6,7,3,5,1,8]=>[8,1,5,3,7,6,2,4]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [7,3,6,2,5,4,1,8]=>[3,7,6,2,5,4,1,8]=>[8,1,4,5,2,6,7,3]=>[[1,3,4,6,7],[2,8],[5]]=>16 [6,3,8,2,5,4,1,7]=>[3,2,6,8,5,4,1,7]=>[7,1,4,5,8,6,2,3]=>[[1,3,4,5],[2,6],[7,8]]=>16 [7,3,1,4,6,5,2,8]=>[7,1,3,4,6,5,2,8]=>[8,2,5,6,4,3,1,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>12 [5,2,8,3,6,4,1,7]=>[2,5,8,3,6,4,1,7]=>[7,1,4,6,3,8,5,2]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [3,2,8,4,6,5,1,7]=>[3,8,2,6,4,5,1,7]=>[7,1,5,4,6,2,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [3,2,1,5,8,6,4,7]=>[8,3,2,5,6,1,4,7]=>[7,4,1,6,5,2,3,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [4,2,8,3,7,5,1,6]=>[4,2,8,7,3,5,1,6]=>[6,1,5,3,7,8,2,4]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [5,2,8,3,7,4,1,6]=>[5,2,8,3,7,4,1,6]=>[6,1,4,7,3,8,2,5]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [8,3,7,2,6,4,1,5]=>[8,3,2,7,4,1,6,5]=>[5,6,1,4,7,2,3,8]=>[[1,2,5,8],[3,4,7],[6]]=>19 [8,2,6,3,7,4,1,5]=>[8,2,3,6,4,1,7,5]=>[5,7,1,4,6,3,2,8]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [7,2,6,3,8,4,1,5]=>[7,2,6,3,4,1,8,5]=>[5,8,1,4,3,6,2,7]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [3,2,7,4,8,5,1,6]=>[3,7,2,8,4,5,1,6]=>[6,1,5,4,8,2,7,3]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [5,2,6,3,8,4,1,7]=>[5,6,2,3,8,4,1,7]=>[7,1,4,8,3,2,6,5]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [7,2,5,3,8,4,1,6]=>[2,5,7,3,4,1,8,6]=>[6,8,1,4,3,7,5,2]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [8,2,5,3,7,4,1,6]=>[5,2,8,3,4,1,7,6]=>[6,7,1,4,3,8,2,5]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [1,3,6,4,8,5,2,7]=>[6,3,8,4,5,1,2,7]=>[7,2,1,5,4,8,3,6]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [6,2,4,3,8,5,1,7]=>[4,6,2,3,8,5,1,7]=>[7,1,5,8,3,2,6,4]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [5,2,4,3,8,6,1,7]=>[5,8,2,4,3,6,1,7]=>[7,1,6,3,4,2,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [4,2,5,3,8,6,1,7]=>[8,2,4,5,3,6,1,7]=>[7,1,6,3,5,4,2,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>11 [4,2,5,3,1,7,6,8]=>[2,4,5,3,7,1,6,8]=>[8,6,1,7,3,5,4,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [6,2,4,3,1,7,5,8]=>[4,2,3,1,6,7,5,8]=>[8,5,7,6,1,3,2,4]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [7,2,4,3,1,6,5,8]=>[4,2,3,7,1,6,5,8]=>[8,5,6,1,7,3,2,4]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [8,4,1,3,6,5,2,7]=>[4,6,1,3,5,2,8,7]=>[7,8,2,5,3,1,6,4]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [1,5,2,4,7,6,3,8]=>[5,7,1,4,6,2,3,8]=>[8,3,2,6,4,1,7,5]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [7,2,5,3,1,6,4,8]=>[2,3,1,7,5,6,4,8]=>[8,4,6,5,7,1,3,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [4,2,7,3,1,6,5,8]=>[2,7,4,3,6,1,5,8]=>[8,5,1,6,3,4,7,2]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [5,2,7,3,1,6,4,8]=>[5,2,3,7,1,6,4,8]=>[8,4,6,1,7,3,2,5]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [6,2,7,3,1,5,4,8]=>[2,6,3,7,1,5,4,8]=>[8,4,5,1,7,3,6,2]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [3,2,1,6,4,7,5,8]=>[3,6,2,7,1,4,5,8]=>[8,5,4,1,7,2,6,3]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [3,2,8,5,1,6,4,7]=>[3,5,2,8,6,1,4,7]=>[7,4,1,6,8,2,5,3]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [6,2,8,4,1,5,3,7]=>[6,2,1,4,8,5,3,7]=>[7,3,5,8,4,1,2,6]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [8,3,7,4,1,5,2,6]=>[3,1,4,8,5,2,7,6]=>[6,7,2,5,8,4,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [4,2,8,7,5,6,1,3]=>[2,8,7,4,5,1,6,3]=>[3,6,1,5,4,7,8,2]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [2,8,1,7,4,5,6,3]=>[2,4,8,5,7,6,1,3]=>[3,1,6,7,5,8,4,2]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [6,3,5,2,4,8,1,7]=>[6,3,2,5,8,4,1,7]=>[7,1,4,8,5,2,3,6]=>[[1,3,4,8],[2,5],[6,7]]=>14 [1,5,2,8,7,4,3,6]=>[5,8,1,7,4,2,3,6]=>[6,3,2,4,7,1,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [1,8,2,5,7,4,3,6]=>[8,7,5,1,2,4,3,6]=>[6,3,4,2,1,5,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>12 [2,5,6,7,1,4,3,8]=>[5,6,2,7,4,1,3,8]=>[8,3,1,4,7,2,6,5]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [5,2,1,6,8,4,3,7]=>[8,2,5,6,1,4,3,7]=>[7,3,4,1,6,5,2,8]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [7,8,1,6,3,2,4,5]=>[7,1,3,2,4,8,6,5]=>[5,6,8,4,2,3,1,7]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [7,3,6,4,1,2,8,5]=>[3,1,7,4,2,6,8,5]=>[5,8,6,2,4,7,1,3]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [3,8,5,1,2,6,4,7]=>[1,3,2,8,5,6,4,7]=>[7,4,6,5,8,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [5,2,1,8,6,4,3,7]=>[5,8,2,6,1,4,3,7]=>[7,3,4,1,6,2,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>12 [1,2,6,5,8,4,3,7]=>[6,8,5,4,1,2,3,7]=>[7,3,2,1,4,5,8,6]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [7,1,5,3,2,6,8,4]=>[3,1,2,7,5,6,8,4]=>[4,8,6,5,7,2,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [1,8,7,2,6,4,3,5]=>[8,1,7,2,6,4,3,5]=>[5,3,4,6,2,7,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>15 [8,7,5,4,3,2,1,6,9]=>[5,4,3,2,1,8,7,6,9]=>[9,6,7,8,1,2,3,4,5]=>[[1,3,4,8,9],[2,6,7],[5]]=>23 [9,8,7,5,4,3,2,1,6,10]=>[5,4,3,2,1,9,8,7,6,10]=>[10,6,7,8,9,1,2,3,4,5]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>31 [9,8,6,5,4,3,2,1,7,10]=>[6,5,4,3,2,1,9,8,7,10]=>[10,7,8,9,1,2,3,4,5,6]=>[[1,3,4,8,9,10],[2,6,7],[5]]=>30 [6,2,3,5,8,7,4,1]=>[6,8,2,3,5,7,4,1]=>[1,4,7,5,3,2,8,6]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [8,6,2,3,1,5,7,4]=>[2,3,6,1,5,8,7,4]=>[4,7,8,5,1,6,3,2]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [6,4,5,8,7,3,2,1]=>[4,6,8,5,7,3,2,1]=>[1,2,3,7,5,8,6,4]=>[[1,2,3,4,6],[5,7],[8]]=>21 [1,7,3,6,8,5,2,4]=>[7,6,8,5,1,3,2,4]=>[4,2,3,1,5,8,6,7]=>[[1,3,5,6,8],[2,7],[4]]=>14 [2,5,1,7,4,8,6,3]=>[5,2,7,8,4,6,1,3]=>[3,1,6,4,8,7,2,5]=>[[1,3,5],[2,4,6],[7,8]]=>11 [1,4,2,7,3,6,8,5]=>[4,7,1,6,8,2,3,5]=>[5,3,2,8,6,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [3,2,1,7,8,5,4,6]=>[7,8,3,2,5,1,4,6]=>[6,4,1,5,2,3,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>10 [7,3,4,2,1,5,8,6]=>[3,4,2,1,5,7,8,6]=>[6,8,7,5,1,2,4,3]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [1,4,7,5,3,8,6,2]=>[4,7,5,8,3,6,1,2]=>[2,1,6,3,8,5,7,4]=>[[1,3,5,7],[2,4,6],[8]]=>12 [8,6,7,4,1,5,2,3]=>[6,1,4,2,8,7,5,3]=>[3,5,7,8,2,4,1,6]=>[[1,2,3,4],[5,6,8],[7]]=>22 [6,8,5,2,1,3,7,4]=>[2,1,3,8,6,5,7,4]=>[4,7,5,6,8,3,1,2]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [2,7,8,6,4,1,5,3]=>[7,4,2,8,6,5,1,3]=>[3,1,5,6,8,2,4,7]=>[[1,3,4,5],[2,6,7,8]]=>18 [1,6,3,2,4,7,8,5]=>[3,1,2,6,7,8,4,5]=>[5,4,8,7,6,2,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [1,2,3,7,5,8,4,6]=>[7,8,1,5,2,3,4,6]=>[6,4,3,2,5,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [1,8,5,3,2,4,7,6]=>[3,1,2,8,5,7,4,6]=>[6,4,7,5,8,2,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [7,4,8,6,2,3,5,1]=>[7,2,8,4,3,6,5,1]=>[1,5,6,3,4,8,2,7]=>[[1,2,3,6],[4,5,8],[7]]=>21 [6,2,5,7,8,1,4,3]=>[6,5,7,2,8,1,4,3]=>[3,4,1,8,2,7,5,6]=>[[1,2,4,8],[3,5,6],[7]]=>16 [4,7,8,1,5,6,2,3]=>[4,1,7,8,5,2,6,3]=>[3,6,2,5,8,7,1,4]=>[[1,2,5],[3,4,6],[7,8]]=>17 [3,6,7,1,8,4,2,5]=>[6,3,1,7,8,4,2,5]=>[5,2,4,8,7,1,3,6]=>[[1,3,4],[2,5,8],[6,7]]=>14 [2,3,7,5,1,6,4,8]=>[7,2,5,3,6,1,4,8]=>[8,4,1,6,3,5,2,7]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [2,6,3,5,1,8,4,7]=>[6,2,5,8,3,1,4,7]=>[7,4,1,3,8,5,2,6]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [7,2,4,6,1,8,5,3]=>[2,4,7,6,8,1,5,3]=>[3,5,1,8,6,7,4,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [1,3,7,6,2,4,5,8]=>[7,1,6,3,2,4,5,8]=>[8,5,4,2,3,6,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>8 [1,3,8,2,7,4,5,6]=>[8,1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [7,1,4,3,8,5,6,2]=>[4,7,1,3,8,5,6,2]=>[2,6,5,8,3,1,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [3,4,1,8,5,7,2,6]=>[8,3,4,7,1,5,2,6]=>[6,2,5,1,7,4,3,8]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [5,6,2,7,8,3,4,1]=>[2,5,6,7,3,8,4,1]=>[1,4,8,3,7,6,5,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [7,4,1,8,5,6,2,3]=>[7,4,5,1,2,8,6,3]=>[3,6,8,2,1,5,4,7]=>[[1,2,3],[4,6,8],[5,7]]=>17 [5,8,4,2,6,3,7,1]=>[2,5,4,8,6,3,7,1]=>[1,7,3,6,8,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [5,7,1,2,6,4,8,3]=>[7,1,2,5,6,4,8,3]=>[3,8,4,6,5,2,1,7]=>[[1,2,4,8],[3],[5],[6],[7]]=>13 [5,1,8,2,3,7,6,4]=>[8,1,5,7,2,3,6,4]=>[4,6,3,2,7,5,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [3,1,8,5,2,4,7,6]=>[3,1,5,8,7,2,4,6]=>[6,4,2,7,8,5,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [6,2,1,4,7,5,8,3]=>[6,2,7,1,4,5,8,3]=>[3,8,5,4,1,7,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [2,8,1,3,7,4,6,5]=>[2,8,7,1,3,6,4,5]=>[5,4,6,3,1,7,8,2]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [6,2,3,8,4,5,7,1]=>[2,6,3,4,8,5,7,1]=>[1,7,5,8,4,3,6,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [2,8,7,6,5,4,3,9,1]=>[8,7,6,5,4,2,3,9,1]=>[1,9,3,2,4,5,6,7,8]=>[[1,2,5,6,7,8,9],[3],[4]]=>23 [2,6,1,5,4,7,3,8]=>[6,2,5,4,7,1,3,8]=>[8,3,1,7,4,5,2,6]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [1,2,8,4,6,3,7,5]=>[8,1,6,4,7,2,3,5]=>[5,3,2,7,4,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [4,6,3,5,7,8,1,2]=>[6,4,3,5,7,1,8,2]=>[2,8,1,7,5,3,4,6]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [2,7,6,5,1,4,8,3]=>[2,7,6,5,4,8,1,3]=>[3,1,8,4,5,6,7,2]=>[[1,3,5,6,7],[2,4],[8]]=>15 [2,3,6,8,4,1,7,5]=>[2,8,6,3,4,7,1,5]=>[5,1,7,4,3,6,8,2]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [1,2,6,8,4,7,5,3]=>[6,8,4,7,5,1,2,3]=>[3,2,1,5,7,4,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>11 [2,3,8,5,4,7,1,6]=>[2,8,5,7,3,4,1,6]=>[6,1,4,3,7,5,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [2,6,1,4,8,3,7,5]=>[8,2,6,1,4,7,3,5]=>[5,3,7,4,1,6,2,8]=>[[1,3,6,8],[2,4],[5,7]]=>10 [3,7,6,5,2,1,4,8]=>[7,6,5,3,2,1,4,8]=>[8,4,1,2,3,5,6,7]=>[[1,4,5,6,7,8],[2],[3]]=>15 [8,4,2,3,7,1,6,5]=>[4,2,8,3,7,1,6,5]=>[5,6,1,7,3,8,2,4]=>[[1,2,4,6],[3,5,8],[7]]=>16 [5,2,4,8,7,3,1,6]=>[8,5,7,2,4,3,1,6]=>[6,1,3,4,2,7,5,8]=>[[1,3,4,6,8],[2,7],[5]]=>15 [3,5,7,6,1,8,2,4]=>[7,5,6,3,1,8,2,4]=>[4,2,8,1,3,6,5,7]=>[[1,3,6,8],[2,5],[4,7]]=>14 [3,8,2,4,1,7,6,5]=>[3,8,2,4,7,6,1,5]=>[5,1,6,7,4,2,8,3]=>[[1,3,4,7],[2,5,8],[6]]=>13 [6,5,7,1,2,8,4,3]=>[1,2,6,5,7,8,4,3]=>[3,4,8,7,5,6,2,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>16 [3,2,4,6,7,8,1,5]=>[3,6,7,8,2,4,1,5]=>[5,1,4,2,8,7,6,3]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [3,7,2,4,1,5,6,8]=>[3,2,4,1,7,5,6,8]=>[8,6,5,7,1,4,2,3]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [4,8,1,6,3,7,5,2]=>[4,1,8,6,7,3,5,2]=>[2,5,3,7,6,8,1,4]=>[[1,2,4,6],[3,5],[7,8]]=>16 [7,1,5,2,6,4,3,8]=>[1,7,5,6,2,4,3,8]=>[8,3,4,2,6,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [8,3,5,2,6,7,1,4]=>[3,2,5,8,6,1,7,4]=>[4,7,1,6,8,5,2,3]=>[[1,2,5],[3,4,8],[6],[7]]=>17 [8,3,2,4,6,7,1,5]=>[8,3,2,4,6,1,7,5]=>[5,7,1,6,4,2,3,8]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [3,8,2,4,1,5,6,7]=>[3,2,4,1,5,8,6,7]=>[7,6,8,5,1,4,2,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [8,3,5,7,2,6,1,4]=>[3,5,8,7,2,1,6,4]=>[4,6,1,2,7,8,5,3]=>[[1,2,5,6],[3,4,7],[8]]=>19 [4,2,7,6,1,8,5,3]=>[2,7,4,6,8,1,5,3]=>[3,5,1,8,6,4,7,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [7,3,2,1,6,8,5,4]=>[3,7,2,6,8,1,5,4]=>[4,5,1,8,6,2,7,3]=>[[1,2,4,7],[3,5,8],[6]]=>14 [7,3,2,1,8,5,4,6]=>[3,7,2,5,1,4,8,6]=>[6,8,4,1,5,2,7,3]=>[[1,2,7],[3,5,8],[4,6]]=>13 [7,3,2,1,6,4,8,5]=>[3,7,2,1,4,6,8,5]=>[5,8,6,4,1,2,7,3]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [3,5,2,1,8,4,7,6]=>[5,8,3,2,7,1,4,6]=>[6,4,1,7,2,3,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>10 [3,6,5,2,1,8,4,7]=>[6,5,3,8,2,1,4,7]=>[7,4,1,2,8,3,5,6]=>[[1,4,5,7,8],[2,6],[3]]=>12 [6,7,2,4,3,5,8,1]=>[6,2,4,3,7,5,8,1]=>[1,8,5,7,3,4,2,6]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [3,6,7,4,2,5,1,8]=>[6,3,7,4,2,5,1,8]=>[8,1,5,2,4,7,3,6]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [6,4,7,3,2,1,5,8]=>[4,6,3,2,1,7,5,8]=>[8,5,7,1,2,3,6,4]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [5,3,6,2,1,7,4,8]=>[3,5,2,1,6,7,4,8]=>[8,4,7,6,1,2,5,3]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [4,3,8,2,1,5,7,6]=>[4,3,2,8,7,1,5,6]=>[6,5,1,7,8,2,3,4]=>[[1,4,5,8],[2,6,7],[3]]=>12 [4,5,8,3,2,7,1,6]=>[4,8,5,3,7,2,1,6]=>[6,1,2,7,3,5,8,4]=>[[1,3,4,6,7],[2,5],[8]]=>16 [2,5,4,6,1,8,7,3]=>[5,4,6,8,2,7,1,3]=>[3,1,7,2,8,6,4,5]=>[[1,3,5,8],[2,4,6],[7]]=>11 [5,3,6,2,1,7,8,4]=>[3,5,2,1,6,7,8,4]=>[4,8,7,6,1,2,5,3]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [3,6,7,4,8,2,1,5]=>[6,3,7,8,4,2,1,5]=>[5,1,2,4,8,7,3,6]=>[[1,3,4,5],[2,6],[7,8]]=>16 [6,7,2,4,8,3,5,1]=>[6,2,4,7,3,8,5,1]=>[1,5,8,3,7,4,2,6]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [5,4,7,8,2,3,6,1]=>[5,7,2,8,4,3,6,1]=>[1,6,3,4,8,2,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>18 [4,3,8,2,1,6,7,5]=>[4,3,2,8,6,7,1,5]=>[5,1,7,6,8,2,3,4]=>[[1,3,5,8],[2,4,7],[6]]=>13 [4,3,2,8,1,5,7,6]=>[8,4,3,2,7,1,5,6]=>[6,5,1,7,2,3,4,8]=>[[1,4,6,7,8],[2,5],[3]]=>11 [4,5,3,2,6,8,1,7]=>[4,5,3,8,2,6,1,7]=>[7,1,6,2,8,3,5,4]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [3,6,7,4,5,2,8,1]=>[6,3,7,4,5,2,8,1]=>[1,8,2,5,4,7,3,6]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [3,5,7,4,6,2,8,1]=>[7,5,3,4,6,2,8,1]=>[1,8,2,6,4,3,5,7]=>[[1,2,4,7,8],[3],[5],[6]]=>15 [4,5,2,3,7,6,8,1]=>[4,2,5,7,3,6,8,1]=>[1,8,6,3,7,5,2,4]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [5,3,7,6,2,4,8,1]=>[7,3,5,2,6,4,8,1]=>[1,8,4,6,2,5,3,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [4,6,7,2,5,3,8,1]=>[6,4,7,2,5,3,8,1]=>[1,8,3,5,2,7,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>16 [4,6,7,3,5,2,8,1]=>[6,7,4,3,5,2,8,1]=>[1,8,2,5,3,4,7,6]=>[[1,2,4,6,7],[3,8],[5]]=>17 [5,3,7,6,4,2,8,1]=>[7,3,5,6,4,2,8,1]=>[1,8,2,4,6,5,3,7]=>[[1,2,4,5,8],[3],[6],[7]]=>17 [6,4,7,8,3,1,5,2]=>[4,6,1,7,3,8,5,2]=>[2,5,8,3,7,1,6,4]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [7,4,8,6,2,5,1,3]=>[7,4,8,2,1,6,5,3]=>[3,5,6,1,2,8,4,7]=>[[1,2,3,6],[4,5,7,8]]=>21 [6,4,7,8,1,3,5,2]=>[4,1,6,7,3,8,5,2]=>[2,5,8,3,7,6,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [6,3,1,5,7,8,4,2]=>[6,1,3,5,7,8,4,2]=>[2,4,8,7,5,3,1,6]=>[[1,2,3,8],[4],[5],[6],[7]]=>14 [5,6,7,3,8,1,4,2]=>[5,6,3,1,7,8,4,2]=>[2,4,8,7,1,3,6,5]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [1,6,7,8,5,4,2,3]=>[6,7,1,8,5,4,2,3]=>[3,2,4,5,8,1,7,6]=>[[1,3,4,5],[2,7],[6,8]]=>17 [5,6,7,1,8,3,4,2]=>[1,5,6,7,3,8,4,2]=>[2,4,8,3,7,6,5,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [7,1,8,6,2,5,4,3]=>[7,8,1,6,5,2,4,3]=>[3,4,2,5,6,1,8,7]=>[[1,2,4,5,7],[3,8],[6]]=>18 [1,5,8,2,6,4,7,3]=>[5,8,1,6,4,7,2,3]=>[3,2,7,4,6,1,8,5]=>[[1,3,5,7],[2,4],[6,8]]=>12 [6,1,5,3,7,8,4,2]=>[1,6,5,7,8,3,4,2]=>[2,4,3,8,7,5,6,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [1,5,7,4,6,8,3,2]=>[7,5,4,6,8,3,1,2]=>[2,1,3,8,6,4,5,7]=>[[1,3,4,7,8],[2,5],[6]]=>14 [1,4,7,5,6,8,3,2]=>[4,7,5,6,8,3,1,2]=>[2,1,3,8,6,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [1,6,7,4,5,8,3,2]=>[6,4,7,5,8,3,1,2]=>[2,1,3,8,5,7,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>15 [5,6,7,4,8,1,3,2]=>[5,6,1,7,4,8,3,2]=>[2,3,8,4,7,1,6,5]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [6,4,7,5,8,1,3,2]=>[4,6,1,7,5,8,3,2]=>[2,3,8,5,7,1,6,4]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [7,5,2,1,8,4,6,3]=>[2,5,7,1,4,8,6,3]=>[3,6,8,4,1,7,5,2]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [8,5,2,7,6,4,1,3]=>[8,2,7,5,1,6,4,3]=>[3,4,6,1,5,7,2,8]=>[[1,2,3,6,8],[4,5],[7]]=>21 [8,1,2,6,4,5,7,3]=>[1,8,2,6,4,5,7,3]=>[3,7,5,4,6,2,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>13 [4,8,1,7,2,5,6,3]=>[4,1,8,7,2,5,6,3]=>[3,6,5,2,7,8,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [2,6,7,1,5,4,8,3]=>[2,6,7,5,4,8,1,3]=>[3,1,8,4,5,7,6,2]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [2,8,1,6,4,5,7,3]=>[2,6,4,5,8,7,1,3]=>[3,1,7,8,5,4,6,2]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [8,2,7,6,5,3,1,4]=>[2,8,7,6,3,1,5,4]=>[4,5,1,3,6,7,8,2]=>[[1,2,5,6,7],[3,4],[8]]=>21 [8,3,7,6,5,1,2,4]=>[1,8,7,6,3,2,5,4]=>[4,5,2,3,6,7,8,1]=>[[1,2,5,6,7],[3,4],[8]]=>21 [1,8,2,6,4,5,7,3]=>[1,8,4,6,5,7,2,3]=>[3,2,7,5,6,4,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [7,1,2,5,6,4,8,3]=>[5,7,6,1,2,4,8,3]=>[3,8,4,2,1,6,7,5]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [3,2,7,6,5,8,1,4]=>[7,6,3,5,8,2,1,4]=>[4,1,2,8,5,3,6,7]=>[[1,3,4,7,8],[2,5],[6]]=>14 [1,3,7,6,5,2,8,4]=>[7,6,5,3,8,1,2,4]=>[4,2,1,8,3,5,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>11 [8,3,7,6,5,2,1,4]=>[8,7,6,3,2,1,5,4]=>[4,5,1,2,3,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>22 [7,1,8,4,5,6,3,2]=>[4,7,5,8,6,1,3,2]=>[2,3,1,6,8,5,7,4]=>[[1,2,4,5],[3,6,7],[8]]=>18 [1,2,7,4,5,8,3,6]=>[1,7,8,4,5,2,3,6]=>[6,3,2,5,4,8,7,1]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [6,1,8,4,5,3,7,2]=>[4,8,6,5,1,3,7,2]=>[2,7,3,1,5,6,8,4]=>[[1,2,5,6,7],[3,8],[4]]=>16 [4,6,2,5,1,8,7,3]=>[4,6,2,8,1,5,7,3]=>[3,7,5,1,8,2,6,4]=>[[1,2,5],[3,6,7],[4,8]]=>13 [7,5,2,4,6,8,1,3]=>[5,2,4,7,6,1,8,3]=>[3,8,1,6,7,4,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>17 [7,3,5,2,1,6,8,4]=>[3,2,1,7,5,6,8,4]=>[4,8,6,5,7,1,2,3]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [8,5,1,2,6,3,7,4]=>[5,1,2,3,6,8,7,4]=>[4,7,8,6,3,2,1,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [2,5,6,3,8,1,7,4]=>[5,6,2,8,3,7,1,4]=>[4,1,7,3,8,2,6,5]=>[[1,3,5],[2,4,7],[6,8]]=>12 [1,5,6,3,8,7,4,2]=>[5,8,3,6,7,4,1,2]=>[2,1,4,7,6,3,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>13 [6,7,1,3,8,2,5,4]=>[3,6,1,2,7,8,5,4]=>[4,5,8,7,2,1,6,3]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [7,6,5,2,1,4,8,3]=>[2,7,1,6,5,4,8,3]=>[3,8,4,5,6,1,7,2]=>[[1,2,4,5,7],[3,8],[6]]=>18 [1,5,8,7,4,6,3,2]=>[8,7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7,8]=>[[1,3,4,6,7,8],[2,5]]=>17 [5,7,2,1,3,6,8,4]=>[2,1,5,7,3,6,8,4]=>[4,8,6,3,7,5,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [2,8,7,5,3,6,1,4]=>[2,5,8,7,6,3,1,4]=>[4,1,3,6,7,8,5,2]=>[[1,3,4,5,6],[2,7],[8]]=>18 [2,7,6,3,8,1,5,4]=>[7,2,6,3,8,5,1,4]=>[4,1,5,8,3,6,2,7]=>[[1,3,4,8],[2,5,6],[7]]=>15 [3,4,2,6,1,7,8,5]=>[3,4,6,2,7,8,1,5]=>[5,1,8,7,2,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [7,4,8,6,5,1,3,2]=>[7,4,8,1,6,5,3,2]=>[2,3,5,6,1,8,4,7]=>[[1,2,3,4,6],[5,7,8]]=>22 [1,6,5,3,7,4,8,2]=>[3,6,5,7,4,8,1,2]=>[2,1,8,4,7,5,6,3]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [2,7,6,8,5,1,4,3]=>[7,6,2,8,5,4,1,3]=>[3,1,4,5,8,2,6,7]=>[[1,3,4,5,8],[2,6,7]]=>18 [1,6,4,5,7,3,8,2]=>[4,6,5,7,3,8,1,2]=>[2,1,8,3,7,5,6,4]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [1,5,4,7,8,6,2,3]=>[5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>13 [7,3,1,6,8,2,5,4]=>[7,3,1,6,8,2,5,4]=>[4,5,2,8,6,1,3,7]=>[[1,2,4,8],[3,5],[6,7]]=>15 [7,1,6,8,5,2,4,3]=>[1,7,6,8,5,2,4,3]=>[3,4,2,5,8,6,7,1]=>[[1,2,4,5,7],[3,6],[8]]=>18 [3,5,8,7,6,4,1,2]=>[8,7,5,6,3,1,4,2]=>[2,4,1,3,6,5,7,8]=>[[1,2,5,7,8],[3,4,6]]=>19 [7,1,5,8,6,2,4,3]=>[5,1,7,8,6,2,4,3]=>[3,4,2,6,8,7,1,5]=>[[1,2,4,5],[3,6],[7,8]]=>17 [1,6,4,7,3,5,8,2]=>[4,6,3,7,5,8,1,2]=>[2,1,8,5,7,3,6,4]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [3,6,2,1,4,7,8,5]=>[3,2,1,6,7,8,4,5]=>[5,4,8,7,6,1,2,3]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [6,8,2,7,5,4,3,1]=>[8,6,7,2,5,4,3,1]=>[1,3,4,5,2,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>22 [5,8,1,7,6,4,3,2]=>[8,7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>20 [4,5,1,6,7,8,9,2,3]=>[1,4,5,6,7,8,2,9,3]=>[3,9,2,8,7,6,5,4,1]=>[[1,2],[3,4],[5],[6],[7],[8],[9]]=>14 [8,5,3,2,4,1,7,6]=>[3,2,5,4,8,1,7,6]=>[6,7,1,8,4,5,2,3]=>[[1,2,4],[3,5,6],[7,8]]=>16 [8,5,1,6,3,4,2,7]=>[5,1,6,3,4,2,8,7]=>[7,8,2,4,3,6,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [8,4,3,6,1,5,2,7]=>[4,3,6,1,5,2,8,7]=>[7,8,2,5,1,6,3,4]=>[[1,2,6],[3,4,8],[5,7]]=>16 [8,4,3,5,2,1,7,6]=>[4,3,5,2,8,1,7,6]=>[6,7,1,8,2,5,3,4]=>[[1,2,4,8],[3,5,6],[7]]=>16 [6,4,3,2,8,7,1,5]=>[4,3,8,2,6,1,7,5]=>[5,7,1,6,2,8,3,4]=>[[1,2,6,8],[3,4,7],[5]]=>16 [8,5,1,4,3,7,2,6]=>[5,4,8,1,3,2,7,6]=>[6,7,2,3,1,8,4,5]=>[[1,2,6,8],[3,4,7],[5]]=>16 [8,5,4,2,1,3,7,6]=>[2,1,5,4,8,3,7,6]=>[6,7,3,8,4,5,1,2]=>[[1,2,4],[3,5,6],[7,8]]=>16 [4,7,3,6,1,8,5,2]=>[4,3,7,6,8,1,5,2]=>[2,5,1,8,6,7,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>16 [7,6,2,4,1,5,8,3]=>[2,1,7,4,6,5,8,3]=>[3,8,5,6,4,7,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [8,1,6,3,7,4,2,5]=>[8,1,6,3,4,2,7,5]=>[5,7,2,4,3,6,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [5,3,8,2,6,7,1,4]=>[8,3,5,2,6,1,7,4]=>[4,7,1,6,2,5,3,8]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [8,2,4,6,3,7,1,5]=>[8,2,4,3,6,1,7,5]=>[5,7,1,6,3,4,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [7,2,6,4,3,5,8,1]=>[7,2,4,3,6,5,8,1]=>[1,8,5,6,3,4,2,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [7,3,6,2,4,5,8,1]=>[3,2,7,4,6,5,8,1]=>[1,8,5,6,4,7,2,3]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [8,3,7,2,1,4,6,5]=>[3,2,8,1,7,4,6,5]=>[5,6,4,7,1,8,2,3]=>[[1,2,4,6],[3,7,8],[5]]=>16 [7,6,4,1,3,2,8,5]=>[4,1,3,2,7,6,8,5]=>[5,8,6,7,2,3,1,4]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [6,2,5,7,4,3,8,1]=>[6,5,7,2,4,3,8,1]=>[1,8,3,4,2,7,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>16 [6,2,5,4,8,7,1,3]=>[6,5,8,2,4,1,7,3]=>[3,7,1,4,2,8,5,6]=>[[1,2,6,8],[3,4,7],[5]]=>16 [7,2,4,8,5,1,6,3]=>[7,2,4,1,8,5,6,3]=>[3,6,5,8,1,4,2,7]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [4,2,7,6,8,5,1,3]=>[7,6,8,2,4,1,5,3]=>[3,5,1,4,2,8,6,7]=>[[1,2,6,8],[3,4,7],[5]]=>16 [7,1,6,2,8,5,4,3]=>[7,6,8,1,5,2,4,3]=>[3,4,2,5,1,8,6,7]=>[[1,2,4,6,8],[3,7],[5]]=>16 [7,2,6,8,1,3,5,4]=>[2,1,7,6,8,3,5,4]=>[4,5,3,8,6,7,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>16 [7,1,8,2,5,6,4,3]=>[7,1,8,5,6,2,4,3]=>[3,4,2,6,5,8,1,7]=>[[1,2,4,6],[3,5,8],[7]]=>16 [6,1,5,7,8,3,4,2]=>[6,5,7,1,8,3,4,2]=>[2,4,3,8,1,7,5,6]=>[[1,2,4,8],[3,6],[5,7]]=>16 [4,6,7,3,1,8,5,2]=>[6,1,7,4,8,3,5,2]=>[2,5,3,8,4,7,1,6]=>[[1,2,4,6],[3,5],[7,8]]=>16 [4,2,6,3,1,8,7,5]=>[4,2,6,8,3,7,1,5]=>[5,1,7,3,8,6,2,4]=>[[1,3,5],[2,4,6],[7,8]]=>11 [6,1,4,2,5,8,7,3]=>[1,2,6,8,4,5,7,3]=>[3,7,5,4,8,6,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [7,2,3,5,8,4,1,6]=>[5,7,2,3,4,1,8,6]=>[6,8,1,4,3,2,7,5]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [1,7,6,4,8,5,3,2]=>[4,7,6,8,5,3,1,2]=>[2,1,3,5,8,6,7,4]=>[[1,3,4,5,7],[2,6],[8]]=>17 [8,7,4,2,1,5,6,3]=>[2,1,4,5,8,7,6,3]=>[3,6,7,8,5,4,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [8,2,3,5,1,4,6,7]=>[5,2,3,1,4,6,8,7]=>[7,8,6,4,1,3,2,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [8,7,4,1,3,2,6,5]=>[4,1,3,8,2,7,6,5]=>[5,6,7,2,8,3,1,4]=>[[1,2,3,5],[4,6,8],[7]]=>18 [3,7,5,8,4,2,1,6]=>[7,8,3,5,4,2,1,6]=>[6,1,2,4,5,3,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>17 [5,2,6,1,7,3,4,8]=>[5,2,6,1,3,7,4,8]=>[8,4,7,3,1,6,2,5]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [6,8,5,1,4,2,3,7]=>[1,8,2,6,5,4,3,7]=>[7,3,4,5,6,2,8,1]=>[[1,3,4,5,7],[2],[6],[8]]=>17 [6,3,8,1,4,2,7,5]=>[3,6,1,4,8,2,7,5]=>[5,7,2,8,4,1,6,3]=>[[1,2,4],[3,5,7],[6,8]]=>14 [1,8,2,6,5,3,7,4]=>[1,8,2,6,5,7,3,4]=>[4,3,7,5,6,2,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [3,8,1,7,2,6,5,4]=>[8,3,7,1,6,5,2,4]=>[4,2,5,6,1,7,3,8]=>[[1,3,4,6,8],[2,7],[5]]=>15 [8,1,4,2,3,5,7,6]=>[1,4,8,2,3,5,7,6]=>[6,7,5,3,2,8,4,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [6,1,8,2,5,4,7,3]=>[1,6,8,5,2,4,7,3]=>[3,7,4,2,5,8,6,1]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [8,3,7,2,5,4,6,1]=>[3,8,2,5,4,7,6,1]=>[1,6,7,4,5,2,8,3]=>[[1,2,3,7],[4,5],[6,8]]=>19 [8,4,7,1,5,3,6,2]=>[4,8,1,5,3,7,6,2]=>[2,6,7,3,5,1,8,4]=>[[1,2,3,7],[4,5],[6,8]]=>19 [8,2,7,3,5,1,6,4]=>[2,8,3,1,7,5,6,4]=>[4,6,5,7,1,3,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [7,4,3,1,6,2,5,8]=>[4,3,1,7,2,6,5,8]=>[8,5,6,2,7,1,3,4]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [7,6,4,2,5,3,1,8]=>[2,4,7,6,5,3,1,8]=>[8,1,3,5,6,7,4,2]=>[[1,3,4,5,6],[2],[7],[8]]=>18 [7,2,5,1,6,3,4,8]=>[2,7,1,5,3,6,4,8]=>[8,4,6,3,5,1,7,2]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [7,1,6,5,4,2,3,8]=>[1,7,6,5,2,4,3,8]=>[8,3,4,2,5,6,7,1]=>[[1,3,5,6,7],[2],[4],[8]]=>15 [5,8,4,3,1,7,2,6]=>[5,4,3,1,8,7,2,6]=>[6,2,7,8,1,3,4,5]=>[[1,3,4,8],[2,6,7],[5]]=>17 [2,1,7,6,3,5,8,4]=>[2,7,6,5,8,1,3,4]=>[4,3,1,8,5,6,7,2]=>[[1,4,6,7],[2,5],[3,8]]=>10 [3,6,8,5,2,4,7,1]=>[8,6,5,3,2,4,7,1]=>[1,7,4,2,3,5,6,8]=>[[1,2,5,6,7,8],[3],[4]]=>17 [5,7,8,4,3,2,6,1]=>[7,8,5,4,3,2,6,1]=>[1,6,2,3,4,5,8,7]=>[[1,2,4,5,6,7],[3,8]]=>21 [5,4,2,8,3,7,1,6]=>[5,4,8,2,7,3,1,6]=>[6,1,3,7,2,8,4,5]=>[[1,3,4,6],[2,7,8],[5]]=>15 [4,2,7,1,5,8,6,3]=>[7,2,4,8,1,5,6,3]=>[3,6,5,1,8,4,2,7]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [6,1,7,4,3,8,5,2]=>[1,6,7,4,8,3,5,2]=>[2,5,3,8,4,7,6,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [3,2,1,4,5,8,6,7]=>[3,8,2,1,4,5,6,7]=>[7,6,5,4,1,2,8,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [6,7,1,3,2,8,5,4]=>[3,1,2,6,7,8,5,4]=>[4,5,8,7,6,2,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [5,1,4,2,3,6,8,7]=>[1,5,2,4,8,3,6,7]=>[7,6,3,8,4,2,5,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [3,7,6,5,8,2,4,1]=>[7,6,5,8,3,2,4,1]=>[1,4,2,3,8,5,6,7]=>[[1,2,4,5,7,8],[3,6]]=>19 [5,4,3,7,8,2,6,1]=>[5,4,7,8,3,2,6,1]=>[1,6,2,3,8,7,4,5]=>[[1,2,4,5,8],[3,6],[7]]=>17 [2,3,7,8,6,1,4,5]=>[7,2,8,6,3,1,4,5]=>[5,4,1,3,6,8,2,7]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [3,8,5,7,6,2,4,1]=>[8,5,7,6,3,2,4,1]=>[1,4,2,3,6,7,5,8]=>[[1,2,4,5,6,8],[3,7]]=>20 [1,8,7,2,4,3,5,6]=>[4,1,2,3,8,7,5,6]=>[6,5,7,8,3,2,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [5,8,7,1,4,2,3,6]=>[1,8,2,7,5,4,3,6]=>[6,3,4,5,7,2,8,1]=>[[1,3,4,5,7],[2],[6],[8]]=>17 [7,5,2,4,1,8,6,3]=>[5,2,1,4,7,8,6,3]=>[3,6,8,7,4,1,2,5]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [2,6,3,7,1,4,5,8]=>[6,2,3,1,7,4,5,8]=>[8,5,4,7,1,3,2,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [8,2,3,5,4,1,6,7]=>[5,2,3,4,1,6,8,7]=>[7,8,6,1,4,3,2,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [6,5,1,2,4,7,8,3]=>[6,1,2,5,4,7,8,3]=>[3,8,7,4,5,2,1,6]=>[[1,2,5,8],[3],[4],[6],[7]]=>12 [7,6,4,3,5,1,8,2]=>[4,3,1,7,6,5,8,2]=>[2,8,5,6,7,1,3,4]=>[[1,2,4,5],[3,7,8],[6]]=>19 [7,6,8,4,3,1,5,2]=>[1,7,6,4,3,8,5,2]=>[2,5,8,3,4,6,7,1]=>[[1,2,3,6,7],[4,5],[8]]=>22 [2,7,6,5,4,1,3,8]=>[7,6,5,4,2,1,3,8]=>[8,3,1,2,4,5,6,7]=>[[1,4,5,6,7,8],[2],[3]]=>15 [7,6,8,5,3,1,4,2]=>[1,7,6,3,8,5,4,2]=>[2,4,5,8,3,6,7,1]=>[[1,2,3,4,7],[5,6],[8]]=>23 [8,4,2,1,6,7,3,5]=>[2,4,8,1,6,3,7,5]=>[5,7,3,6,1,8,4,2]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [8,1,3,5,4,6,7,2]=>[5,1,3,4,8,6,7,2]=>[2,7,6,8,4,3,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [3,8,2,5,4,6,1,7]=>[3,5,2,4,8,6,1,7]=>[7,1,6,8,4,2,5,3]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [5,2,3,6,4,1,7,8]=>[2,3,5,6,4,1,7,8]=>[8,7,1,4,6,5,3,2]=>[[1,4,5],[2],[3],[6],[7],[8]]=>9 [8,1,2,6,7,3,4,5]=>[1,8,2,6,3,4,7,5]=>[5,7,4,3,6,2,8,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [9,8,7,6,5,4,2,3,1]=>[2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2]=>[[1,2,3,4,5,6,7,8],[9]]=>35 [2,3,9,8,7,6,5,4,1]=>[9,8,7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3],[4]]=>23 [6,8,7,1,5,4,3,2]=>[8,6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>22 [8,7,4,6,5,1,3,2]=>[4,8,1,7,6,5,3,2]=>[2,3,5,6,7,1,8,4]=>[[1,2,3,4,5,7],[6,8]]=>24 [10,9,1,8,7,6,5,4,3,2]=>[10,9,8,7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7,8,9,10]=>[[1,2,3,5,6,7,8,9,10],[4]]=>38 [10,9,8,1,7,6,5,4,3,2]=>[10,9,8,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,8,9,10]=>[[1,2,3,4,6,7,8,9,10],[5]]=>39 [10,9,8,7,1,6,5,4,3,2]=>[10,9,8,7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7,8,9,10]=>[[1,2,3,4,5,7,8,9,10],[6]]=>40 [10,9,8,7,6,1,5,4,3,2]=>[10,9,8,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,8,9,10]=>[[1,2,3,4,5,6,8,9,10],[7]]=>41 [10,9,8,7,6,5,1,4,3,2]=>[10,9,1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1,9,10]=>[[1,2,3,4,5,6,7,9,10],[8]]=>42 [10,9,8,7,6,5,4,1,3,2]=>[10,1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1,10]=>[[1,2,3,4,5,6,7,8,10],[9]]=>43 [4,6,3,5,7,2,1,8]=>[6,4,3,5,7,2,1,8]=>[8,1,2,7,5,3,4,6]=>[[1,3,4,7,8],[2],[5],[6]]=>14 [4,3,7,2,1,8,5,6]=>[7,4,3,8,2,1,5,6]=>[6,5,1,2,8,3,4,7]=>[[1,4,5,7,8],[2,6],[3]]=>12 [1,7,4,3,2,8,5,6]=>[4,3,7,1,2,8,5,6]=>[6,5,8,2,1,7,3,4]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [7,4,6,3,5,8,1,2]=>[7,4,3,6,5,1,8,2]=>[2,8,1,5,6,3,4,7]=>[[1,2,5,8],[3,4,7],[6]]=>19 [4,7,3,8,6,2,5,1]=>[4,7,8,6,3,2,5,1]=>[1,5,2,3,6,8,7,4]=>[[1,2,4,5,6],[3,7],[8]]=>19 [4,7,3,6,8,2,1,5]=>[4,7,6,8,3,2,1,5]=>[5,1,2,3,8,6,7,4]=>[[1,3,4,5,7],[2,6],[8]]=>17 [5,4,7,3,8,2,1,6]=>[5,7,4,8,3,2,1,6]=>[6,1,2,3,8,4,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>17 [7,3,6,4,2,5,1,8]=>[3,7,4,2,6,5,1,8]=>[8,1,5,6,2,4,7,3]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [8,7,2,4,6,3,5,1]=>[8,4,2,3,7,6,5,1]=>[1,5,6,7,3,2,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>21 [6,3,5,8,2,4,1,7]=>[6,8,3,2,5,4,1,7]=>[7,1,4,5,2,3,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>16 [7,3,6,2,8,5,4,1]=>[3,7,6,8,2,5,4,1]=>[1,4,5,2,8,6,7,3]=>[[1,2,3,5,7],[4,6],[8]]=>19 [7,4,6,8,3,5,2,1]=>[7,4,6,3,8,5,2,1]=>[1,2,5,8,3,6,4,7]=>[[1,2,3,4,8],[5,6],[7]]=>22 [4,3,5,7,2,6,1,8]=>[4,7,3,5,2,6,1,8]=>[8,1,6,2,5,3,7,4]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [5,4,6,8,3,7,2,1]=>[5,8,4,6,3,7,2,1]=>[1,2,7,3,6,4,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>19 [1,7,2,8,5,4,3,6]=>[7,8,1,5,2,4,3,6]=>[6,3,4,2,5,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [5,4,8,3,6,2,1,7]=>[8,5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5,8]=>[[1,3,4,6,7,8],[2],[5]]=>17 [5,7,2,4,6,1,3,8]=>[5,2,7,4,1,6,3,8]=>[8,3,6,1,4,7,2,5]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [3,7,5,2,6,4,1,8]=>[5,3,7,6,2,4,1,8]=>[8,1,4,2,6,7,3,5]=>[[1,3,5,6],[2,7,8],[4]]=>14 [5,8,4,2,7,3,6,1]=>[5,4,2,8,7,3,6,1]=>[1,6,3,7,8,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>19 [8,2,7,3,4,5,1,6]=>[2,3,4,8,5,1,7,6]=>[6,7,1,5,8,4,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [6,1,5,7,2,3,8,4]=>[1,6,5,2,3,7,8,4]=>[4,8,7,3,2,5,6,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [8,6,1,3,4,5,7,2]=>[1,3,6,4,5,8,7,2]=>[2,7,8,5,4,6,3,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [8,5,7,2,4,6,1,3]=>[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[[1,2,3,6],[4,5,8],[7]]=>21 [6,1,3,7,2,5,8,4]=>[6,3,7,1,2,5,8,4]=>[4,8,5,2,1,7,3,6]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [8,2,5,1,4,7,3,6]=>[2,5,8,4,1,3,7,6]=>[6,7,3,1,4,8,5,2]=>[[1,2,6],[3,5,7],[4,8]]=>14 [8,1,3,6,4,2,5,7]=>[3,6,4,1,2,5,8,7]=>[7,8,5,2,1,4,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [8,5,1,2,4,6,7,3]=>[5,1,2,4,6,8,7,3]=>[3,7,8,6,4,2,1,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [2,6,8,7,3,4,5,1]=>[2,8,6,3,7,4,5,1]=>[1,5,4,7,3,6,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [1,7,8,5,6,4,2,3]=>[7,5,1,8,6,4,2,3]=>[3,2,4,6,8,1,5,7]=>[[1,3,4,5],[2,7,8],[6]]=>18 [8,3,1,2,4,6,7,5]=>[3,1,8,2,4,6,7,5]=>[5,7,6,4,2,8,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [3,1,7,5,8,2,4,6]=>[3,7,1,8,5,2,4,6]=>[6,4,2,5,8,1,7,3]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [8,1,3,2,4,6,5,7]=>[3,6,1,2,4,5,8,7]=>[7,8,5,4,2,1,6,3]=>[[1,2],[3,7],[4,8],[5],[6]]=>9 [8,2,3,7,4,1,5,6]=>[2,3,8,4,1,5,7,6]=>[6,7,5,1,4,8,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [8,1,5,6,4,2,3,7]=>[5,1,6,4,2,3,8,7]=>[7,8,3,2,4,6,1,5]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [3,5,8,1,6,4,2,7]=>[3,5,8,6,1,4,2,7]=>[7,2,4,1,6,8,5,3]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [3,5,8,2,7,4,1,6]=>[5,8,7,3,2,4,1,6]=>[6,1,4,2,3,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>15 [8,3,2,7,4,1,6,5]=>[3,2,8,4,7,1,6,5]=>[5,6,1,7,4,8,2,3]=>[[1,2,4,6],[3,5,8],[7]]=>16 [6,5,1,7,3,2,8,4]=>[6,5,1,3,2,7,8,4]=>[4,8,7,2,3,1,5,6]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [8,3,1,6,4,2,7,5]=>[1,3,8,4,2,6,7,5]=>[5,7,6,2,4,8,3,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [8,1,6,5,4,3,2,7]=>[6,5,4,3,1,2,8,7]=>[7,8,2,1,3,4,5,6]=>[[1,2,6,7,8],[3,5],[4]]=>17 [2,6,8,1,5,4,3,7]=>[8,2,6,5,4,1,3,7]=>[7,3,1,4,5,6,2,8]=>[[1,4,5,6,8],[2,7],[3]]=>13 [3,5,8,2,1,4,7,6]=>[5,3,2,8,7,1,4,6]=>[6,4,1,7,8,2,3,5]=>[[1,4,5,8],[2,6,7],[3]]=>12 [4,2,8,5,3,7,6,1]=>[8,4,2,5,7,3,6,1]=>[1,6,3,7,5,2,4,8]=>[[1,2,4,8],[3,5],[6,7]]=>15 [4,2,7,5,3,8,6,1]=>[4,7,2,5,8,3,6,1]=>[1,6,3,8,5,2,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>14 [6,4,5,1,8,3,2,7]=>[4,1,6,5,8,3,2,7]=>[7,2,3,8,5,6,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>15 [4,5,8,1,3,7,2,6]=>[8,4,1,5,7,3,2,6]=>[6,2,3,7,5,1,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>14 [7,6,2,8,1,4,3,5]=>[2,7,6,1,4,3,8,5]=>[5,8,3,4,1,6,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>17 [4,7,2,6,8,3,5,1]=>[4,7,6,2,8,3,5,1]=>[1,5,3,8,2,6,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>17 [7,4,3,8,5,6,2,1]=>[4,7,3,5,8,6,2,1]=>[1,2,6,8,5,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>20 [3,1,5,8,7,6,2,4]=>[8,7,3,5,1,6,2,4]=>[4,2,6,1,5,3,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>13 [3,1,8,6,5,7,2,4]=>[8,3,6,5,1,7,2,4]=>[4,2,7,1,5,6,3,8]=>[[1,3,6,8],[2,5],[4,7]]=>14 [1,2,7,6,4,5,8,3]=>[4,7,6,5,8,1,2,3]=>[3,2,1,8,5,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>10 [7,2,6,5,1,8,3,4]=>[2,7,6,5,1,3,8,4]=>[4,8,3,1,5,6,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>16 [6,4,2,1,8,7,3,5]=>[2,8,1,4,6,3,7,5]=>[5,7,3,6,4,1,8,2]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [4,7,3,2,5,1,6,8]=>[4,3,2,7,5,1,6,8]=>[8,6,1,5,7,2,3,4]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [6,2,5,8,7,4,1,3]=>[6,8,5,7,2,1,4,3]=>[3,4,1,2,7,5,8,6]=>[[1,2,5,7],[3,4,6,8]]=>18 [7,2,5,3,8,1,4,6]=>[2,5,7,3,1,4,8,6]=>[6,8,4,1,3,7,5,2]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [7,2,5,3,8,4,6,1]=>[2,5,7,3,4,8,6,1]=>[1,6,8,4,3,7,5,2]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [3,7,5,2,6,1,4,8]=>[5,3,7,6,2,1,4,8]=>[8,4,1,2,6,7,3,5]=>[[1,4,5,6],[2,7,8],[3]]=>13 [3,8,5,6,7,4,2,1]=>[5,6,8,7,3,4,2,1]=>[1,2,4,3,7,8,6,5]=>[[1,2,3,5,6],[4,7],[8]]=>20 [6,3,4,1,8,7,2,5]=>[3,8,1,4,6,2,7,5]=>[5,7,2,6,4,1,8,3]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [8,7,3,2,5,4,6,1]=>[3,5,2,4,8,7,6,1]=>[1,6,7,8,4,2,5,3]=>[[1,2,3,4],[5,7],[6,8]]=>20 [5,4,7,3,1,6,8,2]=>[5,1,7,4,3,6,8,2]=>[2,8,6,3,4,7,1,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [7,5,4,8,3,1,6,2]=>[5,4,1,7,3,8,6,2]=>[2,6,8,3,7,1,4,5]=>[[1,2,3,8],[4,5],[6,7]]=>20 [3,4,8,1,6,5,2,7]=>[3,8,1,6,4,5,2,7]=>[7,2,5,4,6,1,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [7,5,6,1,8,3,2,4]=>[1,7,5,6,3,2,8,4]=>[4,8,2,3,6,5,7,1]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [5,3,7,2,1,6,8,4]=>[3,5,2,7,1,6,8,4]=>[4,8,6,1,7,2,5,3]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [7,6,3,2,5,4,8,1]=>[3,7,2,6,5,4,8,1]=>[1,8,4,5,6,2,7,3]=>[[1,2,4,5,7],[3,8],[6]]=>18 [8,6,3,2,5,4,1,7]=>[3,6,2,5,4,1,8,7]=>[7,8,1,4,5,2,6,3]=>[[1,2,5,7],[3,4],[6,8]]=>18 [8,5,3,6,7,4,1,2]=>[3,5,6,1,8,7,4,2]=>[2,4,7,8,1,6,5,3]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [2,4,5,1,8,6,3,7]=>[8,4,5,2,6,1,3,7]=>[7,3,1,6,2,5,4,8]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [2,4,1,6,7,5,3,8]=>[4,6,7,2,5,1,3,8]=>[8,3,1,5,2,7,6,4]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [4,6,2,7,5,8,1,3]=>[4,6,7,2,5,1,8,3]=>[3,8,1,5,2,7,6,4]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [7,3,2,5,1,8,4,6]=>[3,5,2,7,1,4,8,6]=>[6,8,4,1,7,2,5,3]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [8,5,2,4,1,3,7,6]=>[5,2,1,4,8,3,7,6]=>[6,7,3,8,4,1,2,5]=>[[1,2,4],[3,5,8],[6,7]]=>15 [5,1,2,4,3,6,8,7]=>[5,1,2,4,8,3,6,7]=>[7,6,3,8,4,2,1,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [5,2,1,4,3,7,6,8]=>[2,5,1,4,7,3,6,8]=>[8,6,3,7,4,1,5,2]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [2,3,8,7,1,5,4,6]=>[2,3,8,7,5,1,4,6]=>[6,4,1,5,7,8,3,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [6,1,3,2,4,5,8,7]=>[3,1,2,4,6,8,5,7]=>[7,5,8,6,4,2,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [7,4,8,5,1,3,2,6]=>[4,7,1,5,3,2,8,6]=>[6,8,2,3,5,1,7,4]=>[[1,2,5,7],[3,4],[6,8]]=>18 [7,4,8,6,5,1,2,3]=>[7,1,8,4,2,6,5,3]=>[3,5,6,2,4,8,1,7]=>[[1,2,3,6],[4,5,8],[7]]=>21 [2,8,1,7,6,3,5,4]=>[2,8,7,6,1,5,3,4]=>[4,3,5,1,6,7,8,2]=>[[1,3,5,6,7],[2,8],[4]]=>15 [3,7,8,6,5,1,2,4]=>[7,1,8,6,5,3,2,4]=>[4,2,3,5,6,8,1,7]=>[[1,3,4,5,6],[2,8],[7]]=>19 [5,7,8,2,6,3,1,4]=>[7,5,2,8,3,1,6,4]=>[4,6,1,3,8,2,5,7]=>[[1,2,5,8],[3,4,7],[6]]=>19 [3,6,8,7,1,5,2,4]=>[8,6,3,1,7,5,2,4]=>[4,2,5,7,1,3,6,8]=>[[1,3,4,8],[2,6,7],[5]]=>17 [5,6,8,2,7,3,1,4]=>[5,6,2,8,3,1,7,4]=>[4,7,1,3,8,2,6,5]=>[[1,2,5],[3,4,7],[6,8]]=>18 [2,8,4,3,7,5,1,6]=>[8,4,2,3,7,5,1,6]=>[6,1,5,7,3,2,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [7,5,4,8,3,2,1,6]=>[5,4,7,3,2,1,8,6]=>[6,8,1,2,3,7,4,5]=>[[1,2,5,6,8],[3,4],[7]]=>20 [6,5,8,2,7,3,1,4]=>[6,5,2,8,3,1,7,4]=>[4,7,1,3,8,2,5,6]=>[[1,2,5,8],[3,4,7],[6]]=>19 [6,4,8,2,7,3,1,5]=>[4,6,2,8,3,1,7,5]=>[5,7,1,3,8,2,6,4]=>[[1,2,5],[3,4,7],[6,8]]=>18 [6,8,3,1,7,4,2,5]=>[3,1,6,8,4,2,7,5]=>[5,7,2,4,8,6,1,3]=>[[1,2,5],[3,4,6],[7,8]]=>17 [2,8,6,3,4,5,1,7]=>[2,3,8,4,6,5,1,7]=>[7,1,5,6,4,8,3,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>14 [5,3,8,6,1,4,2,7]=>[5,3,8,1,6,4,2,7]=>[7,2,4,6,1,8,3,5]=>[[1,3,4,6],[2,7,8],[5]]=>15 [5,8,1,3,7,4,2,6]=>[8,1,5,3,7,4,2,6]=>[6,2,4,7,3,5,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [5,3,8,2,7,4,1,6]=>[5,8,3,2,7,4,1,6]=>[6,1,4,7,2,3,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>16 [4,3,8,2,7,5,1,6]=>[4,8,7,3,2,5,1,6]=>[6,1,5,2,3,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>15 [5,4,7,3,2,8,1,6]=>[5,7,4,3,8,2,1,6]=>[6,1,2,8,3,4,7,5]=>[[1,3,4,6,7],[2,5],[8]]=>16 [6,4,3,8,5,1,2,7]=>[4,6,3,1,8,5,2,7]=>[7,2,5,8,1,3,6,4]=>[[1,3,4],[2,6,7],[5,8]]=>16 [6,4,8,2,3,5,1,7]=>[2,6,4,3,8,5,1,7]=>[7,1,5,8,3,4,6,2]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [6,4,8,5,1,2,3,7]=>[1,6,4,2,8,5,3,7]=>[7,3,5,8,2,4,6,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [7,4,8,3,1,2,5,6]=>[1,7,4,3,2,5,8,6]=>[6,8,5,2,3,4,7,1]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [5,4,7,8,2,1,3,6]=>[5,7,2,1,8,4,3,6]=>[6,3,4,8,1,2,7,5]=>[[1,3,4],[2,6,7],[5,8]]=>16 [5,6,1,3,2,4,8,7]=>[5,1,3,2,6,8,4,7]=>[7,4,8,6,2,3,1,5]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [3,5,1,2,7,6,4,8]=>[1,5,7,3,6,2,4,8]=>[8,4,2,6,3,7,5,1]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [7,4,3,2,5,8,6,1]=>[4,3,2,5,7,8,6,1]=>[1,6,8,7,5,2,3,4]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [4,6,3,2,8,5,7,1]=>[6,4,8,3,2,5,7,1]=>[1,7,5,2,3,8,4,6]=>[[1,2,5,6,8],[3,7],[4]]=>15 [5,3,7,2,1,8,6,4]=>[3,5,2,7,8,1,6,4]=>[4,6,1,8,7,2,5,3]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [7,4,3,2,5,1,8,6]=>[4,3,2,5,1,7,8,6]=>[6,8,7,1,5,2,3,4]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [5,4,3,7,2,6,8,1]=>[5,4,7,3,2,6,8,1]=>[1,8,6,2,3,7,4,5]=>[[1,2,5,6,8],[3,7],[4]]=>15 [5,4,8,3,7,2,1,6]=>[8,5,4,7,3,2,1,6]=>[6,1,2,3,7,4,5,8]=>[[1,3,4,5,7,8],[2,6]]=>18 [3,6,8,5,2,1,7,4]=>[8,6,5,3,2,7,1,4]=>[4,1,7,2,3,5,6,8]=>[[1,3,5,6,7,8],[2,4]]=>16 [6,1,5,4,7,2,8,3]=>[6,5,4,1,2,7,8,3]=>[3,8,7,2,1,4,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [1,3,6,5,8,2,7,4]=>[6,8,5,3,7,1,2,4]=>[4,2,1,7,3,5,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>10 [1,4,3,6,2,8,5,7]=>[4,6,8,3,1,2,5,7]=>[7,5,2,1,3,8,6,4]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [4,3,6,8,2,7,5,1]=>[8,4,6,3,7,2,5,1]=>[1,5,2,7,3,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>16 [1,6,5,3,2,8,4,7]=>[6,1,5,8,3,2,4,7]=>[7,4,2,3,8,5,1,6]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [1,5,3,2,7,8,6,4]=>[5,7,8,1,3,6,2,4]=>[4,2,6,3,1,8,7,5]=>[[1,3,6],[2,4,7],[5,8]]=>9 [5,4,8,3,2,7,1,6]=>[8,5,4,3,7,2,1,6]=>[6,1,2,7,3,4,5,8]=>[[1,3,4,6,7,8],[2,5]]=>17 [5,4,3,7,2,1,6,8]=>[5,4,7,3,2,1,6,8]=>[8,6,1,2,3,7,4,5]=>[[1,4,5,6,8],[2,7],[3]]=>13 [1,6,5,4,7,2,8,3]=>[6,5,4,1,7,8,2,3]=>[3,2,8,7,1,4,5,6]=>[[1,3,7,8],[2,4],[5,6]]=>12 [3,6,5,7,2,1,8,4]=>[6,5,7,3,2,8,1,4]=>[4,1,8,2,3,7,5,6]=>[[1,3,5,6,8],[2,4],[7]]=>14 [5,4,3,7,8,2,1,6]=>[5,4,7,8,3,2,1,6]=>[6,1,2,3,8,7,4,5]=>[[1,3,4,5,8],[2,6],[7]]=>16 [2,4,5,6,7,8,9,10,3,1]=>[4,5,6,7,8,9,10,2,3,1]=>[1,3,2,10,9,8,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8],[9],[10]]=>16 [1,4,8,6,3,2,7,5]=>[6,4,3,8,7,1,2,5]=>[5,2,1,7,8,3,4,6]=>[[1,4,5,8],[2,6,7],[3]]=>12 [2,8,3,6,5,4,1,7]=>[8,6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6,8]=>[[1,3,4,7,8],[2],[5],[6]]=>14 [1,5,3,6,7,4,8,2]=>[3,5,6,7,4,8,1,2]=>[2,1,8,4,7,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [4,7,6,2,5,1,8,3]=>[4,7,6,2,1,5,8,3]=>[3,8,5,1,2,6,7,4]=>[[1,2,6,7],[3,5,8],[4]]=>16 [6,2,8,1,7,4,5,3]=>[8,2,6,1,7,4,5,3]=>[3,5,4,7,1,6,2,8]=>[[1,2,4,8],[3,6],[5,7]]=>16 [1,7,6,3,8,4,2,5]=>[7,6,1,3,8,4,2,5]=>[5,2,4,8,3,1,6,7]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [6,1,2,3,5,4,8,7]=>[6,1,2,3,5,8,4,7]=>[7,4,8,5,3,2,1,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [5,4,1,6,8,3,7,2]=>[5,8,1,4,6,3,7,2]=>[2,7,3,6,4,1,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [7,1,6,8,3,5,4,2]=>[1,7,6,8,5,3,4,2]=>[2,4,3,5,8,6,7,1]=>[[1,2,4,5,7],[3,6],[8]]=>18 [2,6,3,1,5,8,7,4]=>[2,3,6,8,5,7,1,4]=>[4,1,7,5,8,6,3,2]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [7,2,1,4,8,6,3,5]=>[7,8,2,4,1,3,6,5]=>[5,6,3,1,4,2,8,7]=>[[1,2,7],[3,5,8],[4,6]]=>13 [1,6,2,3,5,4,8,7]=>[6,1,2,5,8,3,4,7]=>[7,4,3,8,5,2,1,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [7,2,6,5,3,4,8,1]=>[2,7,6,3,5,4,8,1]=>[1,8,4,5,3,6,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>17 [7,3,1,2,5,6,8,4]=>[3,1,7,2,5,6,8,4]=>[4,8,6,5,2,7,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [2,7,1,3,4,6,8,5]=>[2,7,1,3,6,8,4,5]=>[5,4,8,6,3,1,7,2]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [3,5,8,7,4,6,2,1]=>[8,7,5,3,4,6,2,1]=>[1,2,6,4,3,5,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>19 [6,8,5,7,3,4,2,1]=>[8,6,5,3,7,4,2,1]=>[1,2,4,7,3,5,6,8]=>[[1,2,3,4,7,8],[5,6]]=>24 [6,2,8,3,4,1,5,7]=>[2,3,6,4,1,8,5,7]=>[7,5,8,1,4,6,3,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>13 [1,3,5,8,4,7,2,6]=>[5,8,7,3,4,1,2,6]=>[6,2,1,4,3,7,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>10 [8,5,4,7,6,1,3,2]=>[5,4,8,1,7,6,3,2]=>[2,3,6,7,1,8,4,5]=>[[1,2,3,4,6],[5,7,8]]=>22 [5,8,7,2,4,1,3,6]=>[8,2,1,7,5,4,3,6]=>[6,3,4,5,7,1,2,8]=>[[1,3,4,5,8],[2,7],[6]]=>18 [6,3,8,5,1,7,4,2]=>[6,8,3,1,5,7,4,2]=>[2,4,7,5,1,3,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>18 [6,4,8,7,3,5,2,1]=>[8,4,6,3,7,5,2,1]=>[1,2,5,7,3,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>22 [2,7,4,3,8,1,5,6]=>[4,7,2,3,1,8,5,6]=>[6,5,8,1,3,2,7,4]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [5,3,6,2,1,8,4,7]=>[3,5,2,6,1,8,4,7]=>[7,4,8,1,6,2,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [4,3,8,6,2,7,1,5]=>[4,8,6,3,7,2,1,5]=>[5,1,2,7,3,6,8,4]=>[[1,3,4,6,7],[2,5],[8]]=>16 [8,2,1,4,6,3,7,5]=>[2,8,4,1,3,6,7,5]=>[5,7,6,3,1,4,8,2]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [3,1,6,8,2,7,5,4]=>[6,8,3,7,1,5,2,4]=>[4,2,5,1,7,3,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>12 [5,8,7,2,4,6,1,3]=>[5,2,8,7,4,1,6,3]=>[3,6,1,4,7,8,2,5]=>[[1,2,5,6],[3,4,8],[7]]=>20 [1,5,2,8,7,6,4,3]=>[8,7,5,6,1,4,2,3]=>[3,2,4,1,6,5,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>13 [6,5,8,3,7,4,2,1]=>[6,5,8,3,7,4,2,1]=>[1,2,4,7,3,8,5,6]=>[[1,2,3,4,6],[5,7,8]]=>22 [8,2,5,1,6,3,7,4]=>[2,5,1,3,8,6,7,4]=>[4,7,6,8,3,1,5,2]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [7,8,1,5,6,3,2,4]=>[7,5,3,1,2,8,6,4]=>[4,6,8,2,1,3,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>19 [7,8,1,3,2,5,6,4]=>[3,7,1,2,5,8,6,4]=>[4,6,8,5,2,1,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [7,8,1,3,5,4,6,2]=>[7,1,5,3,4,8,6,2]=>[2,6,8,4,3,5,1,7]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [1,3,7,8,5,2,4,6]=>[7,8,1,5,3,2,4,6]=>[6,4,2,3,5,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [1,7,8,3,5,2,6,4]=>[7,5,1,3,8,6,2,4]=>[4,2,6,8,3,1,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>14 [1,7,8,3,2,5,6,4]=>[1,7,3,5,8,6,2,4]=>[4,2,6,8,5,3,7,1]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [3,7,8,5,4,6,1,2]=>[3,7,8,5,4,1,6,2]=>[2,6,1,4,5,8,7,3]=>[[1,2,5,6],[3,4,7],[8]]=>19 [3,5,7,6,4,8,1,2]=>[7,5,6,3,4,1,8,2]=>[2,8,1,4,3,6,5,7]=>[[1,2,6,8],[3,4,7],[5]]=>16 [1,3,7,8,5,4,6,2]=>[3,7,8,5,4,6,1,2]=>[2,1,6,4,5,8,7,3]=>[[1,3,5,6],[2,4,7],[8]]=>13 [1,3,2,7,8,5,4,6]=>[7,3,8,5,1,2,4,6]=>[6,4,2,1,5,8,3,7]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [1,5,7,6,8,3,2,4]=>[7,5,1,6,8,3,2,4]=>[4,2,3,8,6,1,5,7]=>[[1,3,4,8],[2,5],[6,7]]=>14 [3,5,7,6,8,4,1,2]=>[7,5,6,8,3,1,4,2]=>[2,4,1,3,8,6,5,7]=>[[1,2,5,8],[3,4,6],[7]]=>17 [1,5,7,6,8,3,4,2]=>[7,5,6,3,8,4,1,2]=>[2,1,4,8,3,6,5,7]=>[[1,3,4,8],[2,5,6],[7]]=>15 [6,1,4,3,2,5,8,7]=>[4,3,1,2,6,8,5,7]=>[7,5,8,6,2,1,3,4]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [6,5,8,4,3,7,1,2]=>[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[[1,2,5,6,7],[3,4,8]]=>21 [5,3,6,7,8,4,1,2]=>[3,5,6,7,1,8,4,2]=>[2,4,8,1,7,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [5,2,7,6,3,8,1,4]=>[7,5,2,3,6,1,8,4]=>[4,8,1,6,3,2,5,7]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [1,8,3,2,4,6,5,7]=>[3,8,1,2,4,6,5,7]=>[7,5,6,4,2,1,8,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [5,8,6,2,3,7,1,4]=>[2,5,3,8,6,1,7,4]=>[4,7,1,6,8,3,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [6,7,3,1,5,2,4,8]=>[1,3,6,2,7,5,4,8]=>[8,4,5,7,2,6,3,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [5,2,4,1,8,3,6,7]=>[5,8,2,1,4,3,6,7]=>[7,6,3,4,1,2,8,5]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [3,5,6,7,2,1,8,4]=>[5,6,7,3,2,8,1,4]=>[4,1,8,2,3,7,6,5]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [1,4,2,8,3,6,7,5]=>[8,4,1,6,7,2,3,5]=>[5,3,2,7,6,1,4,8]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [3,4,1,7,8,2,6,5]=>[7,3,4,8,1,6,2,5]=>[5,2,6,1,8,4,3,7]=>[[1,3,5],[2,6,8],[4,7]]=>11 [7,8,3,1,4,5,6,2]=>[1,3,4,7,5,8,6,2]=>[2,6,8,5,7,4,3,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [5,8,1,4,3,7,6,2]=>[5,1,8,4,7,3,6,2]=>[2,6,3,7,4,8,1,5]=>[[1,2,4,6],[3,5,8],[7]]=>16 [3,7,1,5,6,4,8,2]=>[3,7,5,6,1,4,8,2]=>[2,8,4,1,6,5,7,3]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [6,1,8,7,3,2,5,4]=>[6,1,8,3,7,2,5,4]=>[4,5,2,7,3,8,1,6]=>[[1,2,4,6],[3,5,8],[7]]=>16 [4,1,5,2,7,8,6,3]=>[4,7,8,1,2,5,6,3]=>[3,6,5,2,1,8,7,4]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [7,8,1,5,6,2,4,3]=>[1,7,2,8,5,6,4,3]=>[3,4,6,5,8,2,7,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [4,1,5,7,6,3,8,2]=>[7,4,5,6,1,3,8,2]=>[2,8,3,1,6,5,4,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [1,5,7,4,6,8,2,3]=>[7,5,4,6,1,8,2,3]=>[3,2,8,1,6,4,5,7]=>[[1,3,7,8],[2,5],[4,6]]=>13 [1,5,3,4,8,2,7,6]=>[5,3,8,4,7,1,2,6]=>[6,2,1,7,4,8,3,5]=>[[1,4,6],[2,5,8],[3,7]]=>9 [1,4,8,2,6,7,5,3]=>[4,8,6,7,1,5,2,3]=>[3,2,5,1,7,6,8,4]=>[[1,3,5,7],[2,6],[4,8]]=>12 [1,4,7,8,2,3,6,5]=>[1,7,4,8,6,2,3,5]=>[5,3,2,6,8,4,7,1]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [6,1,4,7,8,3,2,5]=>[4,6,7,3,1,2,8,5]=>[5,8,2,1,3,7,6,4]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [1,7,3,2,4,5,8,6]=>[3,1,2,4,7,8,5,6]=>[6,5,8,7,4,2,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [1,4,8,7,3,2,6,5]=>[4,3,8,7,6,1,2,5]=>[5,2,1,6,7,8,3,4]=>[[1,4,5,6],[2,7,8],[3]]=>13 [6,5,2,3,4,1,8,7]=>[2,3,6,5,4,8,1,7]=>[7,1,8,4,5,6,3,2]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [2,5,1,7,8,4,3,6]=>[5,7,2,8,4,1,3,6]=>[6,3,1,4,8,2,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>11 [3,5,7,1,6,2,8,4]=>[7,5,3,1,6,8,2,4]=>[4,2,8,6,1,3,5,7]=>[[1,3,7,8],[2,4],[5,6]]=>12 [1,3,8,5,7,4,2,6]=>[8,7,3,5,4,1,2,6]=>[6,2,1,4,5,3,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>12 [1,4,2,8,6,3,5,7]=>[4,1,8,6,2,3,5,7]=>[7,5,3,2,6,8,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [1,7,6,5,3,4,2,8]=>[3,7,6,5,4,1,2,8]=>[8,2,1,4,5,6,7,3]=>[[1,4,5,6,7],[2,8],[3]]=>14 [2,8,6,3,5,7,4,1]=>[6,2,5,8,7,3,4,1]=>[1,4,3,7,8,5,2,6]=>[[1,2,4,5],[3,6,8],[7]]=>17 [2,8,6,7,4,1,5,3]=>[6,4,2,8,7,5,1,3]=>[3,1,5,7,8,2,4,6]=>[[1,3,4,5],[2,6,7,8]]=>18 [6,1,8,2,5,3,4,7]=>[6,1,2,3,8,5,4,7]=>[7,4,5,8,3,2,1,6]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [2,6,1,5,7,3,4,8]=>[6,2,5,1,7,3,4,8]=>[8,4,3,7,1,5,2,6]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [3,6,1,5,2,7,4,8]=>[3,1,6,5,7,2,4,8]=>[8,4,2,7,5,6,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [3,8,6,2,1,7,5,4]=>[3,2,6,8,7,5,1,4]=>[4,1,5,7,8,6,2,3]=>[[1,3,4,5],[2,6,8],[7]]=>16 [2,5,8,4,3,1,6,7]=>[8,5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5,8]=>[[1,4,5,7,8],[2],[3],[6]]=>12 [4,1,8,7,2,5,6,3]=>[8,7,1,4,2,5,6,3]=>[3,6,5,2,4,1,7,8]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [1,5,4,2,3,6,8,7]=>[1,5,4,8,2,3,6,7]=>[7,6,3,2,8,4,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [4,6,2,8,1,5,7,3]=>[4,6,8,2,1,5,7,3]=>[3,7,5,1,2,8,6,4]=>[[1,2,6],[3,5,7],[4,8]]=>14 [3,4,1,8,2,5,7,6]=>[3,1,8,4,7,2,5,6]=>[6,5,2,7,4,8,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [4,2,1,8,5,3,7,6]=>[8,2,4,1,5,7,3,6]=>[6,3,7,5,1,4,2,8]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [6,5,2,1,7,3,4,8]=>[2,6,1,5,3,7,4,8]=>[8,4,7,3,5,1,6,2]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [5,2,6,8,7,3,1,4]=>[8,5,6,2,3,1,7,4]=>[4,7,1,3,2,6,5,8]=>[[1,2,6,8],[3,4],[5,7]]=>16 [2,7,8,6,3,4,1,5]=>[2,7,3,8,6,4,1,5]=>[5,1,4,6,8,3,7,2]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [3,1,2,8,6,7,5,4]=>[6,8,7,1,3,5,2,4]=>[4,2,5,3,1,7,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>11 [3,1,2,4,8,6,7,5]=>[1,8,3,6,7,2,4,5]=>[5,4,2,7,6,3,8,1]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [3,1,2,5,8,7,4,6]=>[8,7,1,3,5,2,4,6]=>[6,4,2,5,3,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [6,5,2,1,8,4,7,3]=>[2,6,8,1,5,4,7,3]=>[3,7,4,5,1,8,6,2]=>[[1,2,4,6],[3,7],[5,8]]=>15 [5,6,2,4,3,8,1,7]=>[2,5,6,4,8,3,1,7]=>[7,1,3,8,4,6,5,2]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [3,7,5,2,8,1,4,6]=>[7,3,5,2,1,8,4,6]=>[6,4,8,1,2,5,3,7]=>[[1,3,6,8],[2,5],[4,7]]=>14 [7,4,1,3,6,2,8,5]=>[4,7,1,3,2,6,8,5]=>[5,8,6,2,3,1,7,4]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [5,1,4,7,3,2,8,6]=>[5,7,4,1,3,8,2,6]=>[6,2,8,3,1,4,7,5]=>[[1,3,6,7],[2,4],[5,8]]=>11 [2,3,6,4,7,5,1,8]=>[2,6,7,3,4,5,1,8]=>[8,1,5,4,3,7,6,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [2,3,5,7,4,8,1,6]=>[7,5,8,2,3,4,1,6]=>[6,1,4,3,2,8,5,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [2,3,7,6,1,5,8,4]=>[2,7,6,3,5,8,1,4]=>[4,1,8,5,3,6,7,2]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [8,3,2,4,1,7,6,5]=>[3,8,2,4,7,1,6,5]=>[5,6,1,7,4,2,8,3]=>[[1,2,4,7],[3,5,8],[6]]=>14 [3,7,6,1,2,5,8,4]=>[1,3,7,6,5,8,2,4]=>[4,2,8,5,6,7,3,1]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [4,7,1,6,8,5,3,2]=>[7,6,8,1,4,5,3,2]=>[2,3,5,4,1,8,6,7]=>[[1,2,3,6,8],[4,7],[5]]=>17 [5,4,8,6,3,7,1,2]=>[8,5,4,6,3,1,7,2]=>[2,7,1,3,6,4,5,8]=>[[1,2,5,7,8],[3,4],[6]]=>19 [5,7,3,4,8,2,6,1]=>[3,7,5,8,4,2,6,1]=>[1,6,2,4,8,5,7,3]=>[[1,2,4,5,7],[3,6],[8]]=>18 [5,6,4,2,7,8,3,1]=>[5,2,6,4,7,8,3,1]=>[1,3,8,7,4,6,2,5]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [6,5,2,3,1,8,7,4]=>[2,3,1,6,8,5,7,4]=>[4,7,5,8,6,1,3,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [6,5,3,7,4,1,2,8]=>[3,6,5,1,7,4,2,8]=>[8,2,4,7,1,5,6,3]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [5,7,6,4,8,3,1,2]=>[7,5,6,4,1,8,3,2]=>[2,3,8,1,4,6,5,7]=>[[1,2,3,6,8],[4,5],[7]]=>21 [3,1,7,5,4,6,2,8]=>[7,1,5,3,4,6,2,8]=>[8,2,6,4,3,5,1,7]=>[[1,3,6,8],[2],[4],[5],[7]]=>10 [4,3,1,5,8,6,2,7]=>[4,1,8,3,5,6,2,7]=>[7,2,6,5,3,8,1,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [4,3,5,1,8,7,2,6]=>[4,8,3,5,1,7,2,6]=>[6,2,7,1,5,3,8,4]=>[[1,3,7],[2,5,8],[4,6]]=>12 [2,5,6,4,1,8,3,7]=>[5,6,4,8,2,1,3,7]=>[7,3,1,2,8,4,6,5]=>[[1,4,5,7],[2,6],[3,8]]=>11 [4,6,2,1,5,7,3,8]=>[4,2,6,1,5,7,3,8]=>[8,3,7,5,1,6,2,4]=>[[1,3,6],[2,7,8],[4],[5]]=>10 [4,8,1,5,7,3,2,6]=>[8,1,7,4,5,3,2,6]=>[6,2,3,5,4,7,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>15 [6,4,2,7,8,3,1,5]=>[2,4,6,7,3,1,8,5]=>[5,8,1,3,7,6,4,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [2,5,6,7,4,1,8,3]=>[5,6,7,4,2,8,1,3]=>[3,1,8,2,4,7,6,5]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [2,5,6,8,3,1,7,4]=>[8,5,2,6,3,7,1,4]=>[4,1,7,3,6,2,5,8]=>[[1,3,5,8],[2,4],[6,7]]=>13 [3,5,6,4,8,2,1,7]=>[5,6,8,3,4,2,1,7]=>[7,1,2,4,3,8,6,5]=>[[1,3,4,6],[2,7],[5,8]]=>14 [2,5,4,7,8,3,1,6]=>[5,7,8,4,2,3,1,6]=>[6,1,3,2,4,8,7,5]=>[[1,3,5,6],[2,7],[4,8]]=>13 [6,4,5,8,2,3,1,7]=>[4,6,2,8,5,3,1,7]=>[7,1,3,5,8,2,6,4]=>[[1,3,4,5],[2,7],[6,8]]=>17 [7,5,8,1,4,6,3,2]=>[5,7,1,4,8,6,3,2]=>[2,3,6,8,4,1,7,5]=>[[1,2,3,4],[5,7],[6,8]]=>20 [4,2,6,7,8,1,5,3]=>[6,7,2,4,8,1,5,3]=>[3,5,1,8,4,2,7,6]=>[[1,2,4],[3,5,7],[6,8]]=>14 [4,7,8,2,5,1,6,3]=>[4,7,2,1,8,5,6,3]=>[3,6,5,8,1,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>17 [3,7,8,2,5,1,4,6]=>[3,2,7,1,8,5,4,6]=>[6,4,5,8,1,7,2,3]=>[[1,3,4],[2,6,8],[5,7]]=>15 [3,4,6,7,8,1,5,2]=>[6,7,3,4,8,1,5,2]=>[2,5,1,8,4,3,7,6]=>[[1,2,4],[3,5,7],[6,8]]=>14 [4,7,3,8,5,1,6,2]=>[4,7,3,1,8,5,6,2]=>[2,6,5,8,1,3,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>17 [4,3,2,7,5,8,1,6]=>[4,7,3,8,2,5,1,6]=>[6,1,5,2,8,3,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>12 [8,1,5,3,2,4,7,6]=>[5,1,3,8,2,4,7,6]=>[6,7,4,2,8,3,1,5]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [7,3,8,2,4,1,6,5]=>[3,2,7,4,8,1,6,5]=>[5,6,1,8,4,7,2,3]=>[[1,2,4],[3,5,6],[7,8]]=>16 [6,2,3,7,8,1,5,4]=>[6,7,2,3,8,1,5,4]=>[4,5,1,8,3,2,7,6]=>[[1,2,4],[3,5,7],[6,8]]=>14 [7,5,8,1,6,4,2,3]=>[5,7,1,2,8,6,4,3]=>[3,4,6,8,2,1,7,5]=>[[1,2,3,4],[5,7],[6,8]]=>20 [1,4,7,3,8,5,2,6]=>[4,7,3,8,5,1,2,6]=>[6,2,1,5,8,3,7,4]=>[[1,4,5],[2,6,7],[3,8]]=>11 [8,2,7,6,4,1,5,3]=>[2,1,8,7,6,4,5,3]=>[3,5,4,6,7,8,1,2]=>[[1,2,4,5,6],[3,8],[7]]=>20 [2,7,4,3,8,5,1,6]=>[4,7,2,3,8,5,1,6]=>[6,1,5,8,3,2,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [2,4,7,6,3,8,5,1]=>[7,6,4,8,2,3,5,1]=>[1,5,3,2,8,4,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>14 [7,2,6,1,8,3,5,4]=>[7,2,1,6,8,3,5,4]=>[4,5,3,8,6,1,2,7]=>[[1,2,4,8],[3,5],[6,7]]=>15 [6,8,1,4,7,5,3,2]=>[6,8,1,7,4,5,3,2]=>[2,3,5,4,7,1,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>19 [7,6,1,2,8,5,3,4]=>[7,6,1,2,3,8,5,4]=>[4,5,8,3,2,1,6,7]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [7,2,4,8,3,6,5,1]=>[7,4,8,2,3,6,5,1]=>[1,5,6,3,2,8,4,7]=>[[1,2,3,6],[4,7,8],[5]]=>17 [8,2,6,3,4,1,7,5]=>[2,3,4,1,8,6,7,5]=>[5,7,6,8,1,4,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [4,1,5,8,3,6,7,2]=>[4,8,5,1,3,6,7,2]=>[2,7,6,3,1,5,8,4]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [4,8,2,7,1,3,6,5]=>[4,2,8,1,7,6,3,5]=>[5,3,6,7,1,8,2,4]=>[[1,3,4,6],[2,7,8],[5]]=>15 [5,2,1,8,7,4,6,3]=>[8,7,2,5,1,4,6,3]=>[3,6,4,1,5,2,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>14 [5,1,6,8,3,2,7,4]=>[5,6,3,8,1,2,7,4]=>[4,7,2,1,8,3,6,5]=>[[1,2,5],[3,6,7],[4,8]]=>13 [4,7,8,3,1,2,5,6]=>[1,7,4,3,2,8,5,6]=>[6,5,8,2,3,4,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [5,7,8,2,4,1,3,6]=>[2,7,1,8,5,4,3,6]=>[6,3,4,5,8,1,7,2]=>[[1,3,4,5],[2,7],[6,8]]=>17 [5,8,2,3,6,4,7,1]=>[2,3,5,8,6,4,7,1]=>[1,7,4,6,8,5,3,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>16 [4,5,7,6,8,2,3,1]=>[7,4,5,6,2,8,3,1]=>[1,3,8,2,6,5,4,7]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [6,2,3,1,7,8,5,4]=>[2,3,6,7,8,1,5,4]=>[4,5,1,8,7,6,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [5,2,3,6,8,4,7,1]=>[8,2,3,5,6,4,7,1]=>[1,7,4,6,5,3,2,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>13 [8,2,1,7,3,4,6,5]=>[2,8,1,7,3,4,6,5]=>[5,6,4,3,7,1,8,2]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [5,2,7,8,4,1,6,3]=>[7,8,5,2,1,4,6,3]=>[3,6,4,1,2,5,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>16 [5,7,8,3,4,1,6,2]=>[7,3,1,8,5,4,6,2]=>[2,6,4,5,8,1,3,7]=>[[1,2,4,5],[3,7,8],[6]]=>19 [6,7,8,3,2,5,4,1]=>[6,3,2,7,8,5,4,1]=>[1,4,5,8,7,2,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>21 [5,7,2,6,4,8,1,3]=>[7,2,5,6,4,1,8,3]=>[3,8,1,4,6,5,2,7]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [6,2,3,4,7,8,5,1]=>[2,3,4,6,7,8,5,1]=>[1,5,8,7,6,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8]]=>13 [6,2,1,3,7,5,8,4]=>[2,6,7,1,3,5,8,4]=>[4,8,5,3,1,7,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [6,8,7,3,4,5,1,2]=>[3,8,6,4,1,7,5,2]=>[2,5,7,1,4,6,8,3]=>[[1,2,3,7],[4,5,6],[8]]=>22 [6,2,3,7,8,1,4,5]=>[6,7,2,3,1,4,8,5]=>[5,8,4,1,3,2,7,6]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [7,4,3,2,5,8,1,6]=>[4,3,2,5,7,1,8,6]=>[6,8,1,7,5,2,3,4]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [1,3,7,4,2,5,6,8]=>[1,7,3,4,2,5,6,8]=>[8,6,5,2,4,3,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>6 [1,3,5,8,4,2,7,6]=>[8,3,5,4,7,1,2,6]=>[6,2,1,7,4,5,3,8]=>[[1,4,6,8],[2,5],[3,7]]=>9 [1,3,8,4,5,2,7,6]=>[3,4,5,8,7,1,2,6]=>[6,2,1,7,8,5,4,3]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [1,7,6,2,3,5,4,8]=>[7,1,2,6,5,3,4,8]=>[8,4,3,5,6,2,1,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>10 [1,6,7,2,4,8,5,3]=>[6,1,4,7,8,5,2,3]=>[3,2,5,8,7,4,1,6]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [5,7,2,4,3,6,8,1]=>[7,2,5,4,3,6,8,1]=>[1,8,6,3,4,5,2,7]=>[[1,2,5,6,8],[3],[4],[7]]=>15 [2,8,3,6,1,7,4,5]=>[2,3,8,6,1,7,4,5]=>[5,4,7,1,6,8,3,2]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [1,8,4,5,6,2,7,3]=>[4,5,1,6,8,7,2,3]=>[3,2,7,8,6,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [6,3,5,8,1,7,4,2]=>[6,3,8,1,5,7,4,2]=>[2,4,7,5,1,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>17 [3,5,4,8,6,1,7,2]=>[8,5,3,4,1,6,7,2]=>[2,7,6,1,4,3,5,8]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [7,5,2,3,8,4,6,1]=>[2,3,5,7,4,8,6,1]=>[1,6,8,4,7,5,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [7,4,6,5,1,8,2,3]=>[4,7,1,6,5,2,8,3]=>[3,8,2,5,6,1,7,4]=>[[1,2,5,7],[3,4],[6,8]]=>18 [2,8,4,1,7,3,6,5]=>[2,4,8,7,1,6,3,5]=>[5,3,6,1,7,8,4,2]=>[[1,3,5,6],[2,7],[4,8]]=>13 [7,1,3,2,6,8,4,5]=>[7,3,6,1,2,4,8,5]=>[5,8,4,2,1,6,3,7]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [4,3,5,2,8,1,6,7]=>[4,8,3,5,2,1,6,7]=>[7,6,1,2,5,3,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [1,7,3,8,2,4,6,5]=>[7,1,3,8,2,6,4,5]=>[5,4,6,2,8,3,1,7]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [2,7,4,8,5,3,1,6]=>[7,2,8,4,5,3,1,6]=>[6,1,3,5,4,8,2,7]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [6,1,3,8,4,2,7,5]=>[6,3,4,8,1,2,7,5]=>[5,7,2,1,8,4,3,6]=>[[1,2,5],[3,6,8],[4,7]]=>12 [5,4,1,8,6,2,7,3]=>[1,5,8,4,2,6,7,3]=>[3,7,6,2,4,8,5,1]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [5,4,6,8,1,3,2,7]=>[5,4,8,1,6,3,2,7]=>[7,2,3,6,1,8,4,5]=>[[1,3,4,6],[2,7,8],[5]]=>15 [3,6,1,5,8,4,7,2]=>[6,8,3,5,1,4,7,2]=>[2,7,4,1,5,3,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>13 [6,4,8,3,5,7,2,1]=>[6,4,3,8,5,7,2,1]=>[1,2,7,5,8,3,4,6]=>[[1,2,3,5,8],[4,7],[6]]=>20 [3,5,8,2,4,1,7,6]=>[8,3,2,5,4,7,1,6]=>[6,1,7,4,5,2,3,8]=>[[1,3,5,8],[2,4],[6,7]]=>13 [7,2,8,4,1,3,6,5]=>[7,2,1,4,8,3,6,5]=>[5,6,3,8,4,1,2,7]=>[[1,2,4],[3,5,8],[6,7]]=>15 [8,4,6,3,5,7,2,1]=>[6,4,3,5,8,7,2,1]=>[1,2,7,8,5,3,4,6]=>[[1,2,3,4,8],[5,7],[6]]=>21 [6,1,7,4,3,2,5,8]=>[6,4,3,1,2,7,5,8]=>[8,5,7,2,1,3,4,6]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [2,7,4,6,3,5,1,8]=>[7,6,2,4,3,5,1,8]=>[8,1,5,3,4,2,6,7]=>[[1,3,5,7,8],[2],[4],[6]]=>13 [4,7,2,6,1,5,3,8]=>[7,4,2,6,1,5,3,8]=>[8,3,5,1,6,2,4,7]=>[[1,3,5,8],[2,6,7],[4]]=>13 [8,3,6,2,7,5,1,4]=>[3,6,8,7,2,1,5,4]=>[4,5,1,2,7,8,6,3]=>[[1,2,5,6],[3,4,7],[8]]=>19 [2,8,4,7,3,1,6,5]=>[8,2,4,3,7,6,1,5]=>[5,1,6,7,3,4,2,8]=>[[1,3,4,8],[2,5,6],[7]]=>15 [7,1,8,5,4,6,3,2]=>[7,5,4,8,6,1,3,2]=>[2,3,1,6,8,4,5,7]=>[[1,2,4,5,8],[3,6,7]]=>19 [7,6,2,5,1,8,4,3]=>[2,7,6,1,5,8,4,3]=>[3,4,8,5,1,6,7,2]=>[[1,2,3,6,7],[4,8],[5]]=>18 [1,5,4,6,8,3,7,2]=>[5,8,4,6,3,7,1,2]=>[2,1,7,3,6,4,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>12 [4,1,5,2,3,8,7,6]=>[4,8,1,2,5,7,3,6]=>[6,3,7,5,2,1,8,4]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [1,4,8,3,5,7,2,6]=>[4,8,3,7,5,1,2,6]=>[6,2,1,5,7,3,8,4]=>[[1,4,5,7],[2,6,8],[3]]=>11 [7,4,6,3,5,8,2,1]=>[7,4,3,6,5,8,2,1]=>[1,2,8,5,6,3,4,7]=>[[1,2,3,5,8],[4,7],[6]]=>20 [3,7,2,6,1,8,5,4]=>[7,3,2,6,8,5,1,4]=>[4,1,5,8,6,2,3,7]=>[[1,3,4,8],[2,5,7],[6]]=>14 [7,3,6,2,8,5,1,4]=>[3,7,6,8,2,1,5,4]=>[4,5,1,2,8,6,7,3]=>[[1,2,5,7],[3,4,6],[8]]=>18 [1,6,8,3,5,7,2,4]=>[8,6,1,5,7,3,2,4]=>[4,2,3,7,5,1,6,8]=>[[1,3,4,7,8],[2,5],[6]]=>14 [1,4,8,6,3,7,5,2]=>[6,4,8,7,3,5,1,2]=>[2,1,5,3,7,8,4,6]=>[[1,3,5,6],[2,4,7,8]]=>14 [4,8,3,7,5,2,6,1]=>[8,4,3,7,5,2,6,1]=>[1,6,2,5,7,3,4,8]=>[[1,2,4,5,8],[3,7],[6]]=>19 [8,6,2,1,7,4,3,5]=>[6,2,4,1,3,8,7,5]=>[5,7,8,3,1,4,2,6]=>[[1,2,3],[4,6,8],[5,7]]=>17 [8,3,5,1,6,7,4,2]=>[3,1,8,5,6,7,4,2]=>[2,4,7,6,5,8,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [6,3,8,1,2,5,4,7]=>[1,3,2,6,8,5,4,7]=>[7,4,5,8,6,2,3,1]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [8,2,5,1,6,7,4,3]=>[2,5,6,8,7,1,4,3]=>[3,4,1,7,8,6,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [7,6,4,8,5,3,2,1]=>[4,7,6,8,5,3,2,1]=>[1,2,3,5,8,6,7,4]=>[[1,2,3,4,5,7],[6],[8]]=>24 [7,6,5,3,8,4,2,1]=>[3,7,6,5,8,4,2,1]=>[1,2,4,8,5,6,7,3]=>[[1,2,3,4,6,7],[5],[8]]=>23 [7,6,5,4,2,8,3,1]=>[2,7,6,5,4,8,3,1]=>[1,3,8,4,5,6,7,2]=>[[1,2,3,5,6,7],[4],[8]]=>22 [8,6,9,7,5,4,3,2,1]=>[6,8,9,7,5,4,3,2,1]=>[1,2,3,4,5,7,9,8,6]=>[[1,2,3,4,5,6,7],[8],[9]]=>33 [7,5,4,8,6,3,2,1]=>[5,4,7,8,6,3,2,1]=>[1,2,3,6,8,7,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>23 [7,6,5,3,2,8,4,1]=>[3,2,7,6,5,8,4,1]=>[1,4,8,5,6,7,2,3]=>[[1,2,3,5,6],[4,8],[7]]=>21 [3,2,1,6,5,8,7,10,9,4]=>[3,6,8,10,2,5,7,9,1,4]=>[4,1,9,7,5,2,10,8,6,3]=>[[1,3,7],[2,4,8],[5,9],[6,10]]=>12 [1,5,7,2,4,3,6,8]=>[7,1,5,4,2,3,6,8]=>[8,6,3,2,4,5,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>8 [1,4,7,2,6,5,3,8]=>[7,4,6,1,5,2,3,8]=>[8,3,2,5,1,6,4,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [1,2,6,8,7,4,3,5]=>[6,8,1,7,4,2,3,5]=>[5,3,2,4,7,1,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [1,2,7,4,3,5,8,6]=>[7,1,2,4,8,3,5,6]=>[6,5,3,8,4,2,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [1,6,2,8,7,4,3,5]=>[6,8,1,7,2,4,3,5]=>[5,3,4,2,7,1,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [1,7,4,2,3,5,8,6]=>[1,4,2,3,7,8,5,6]=>[6,5,8,7,3,2,4,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>8 [1,8,5,2,3,6,4,7]=>[1,2,3,8,5,6,4,7]=>[7,4,6,5,8,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>10 [1,4,7,5,2,8,6,3]=>[4,1,7,8,5,6,2,3]=>[3,2,6,5,8,7,1,4]=>[[1,3,5],[2,4,6],[7,8]]=>11 [1,6,3,7,4,2,8,5]=>[6,1,7,3,4,8,2,5]=>[5,2,8,4,3,7,1,6]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [1,8,5,2,7,4,3,6]=>[1,5,8,7,2,4,3,6]=>[6,3,4,2,7,8,5,1]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [1,2,4,7,5,8,6,3]=>[4,7,8,5,6,1,2,3]=>[3,2,1,6,5,8,7,4]=>[[1,4,6],[2,5,7],[3,8]]=>8 [1,3,5,8,7,6,2,4]=>[8,7,5,6,3,1,2,4]=>[4,2,1,3,6,5,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>12 [1,5,2,4,3,6,8,7]=>[5,1,4,8,2,3,6,7]=>[7,6,3,2,8,4,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [1,2,5,7,4,3,8,6]=>[7,5,4,8,1,2,3,6]=>[6,3,2,1,8,4,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,5,3,2,6,8,7,4]=>[5,8,1,3,6,7,2,4]=>[4,2,7,6,3,1,8,5]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [1,4,2,6,8,7,5,3]=>[8,6,7,1,4,5,2,3]=>[3,2,5,4,1,7,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>10 [1,8,5,2,6,3,4,7]=>[8,1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [1,7,4,6,3,2,8,5]=>[7,6,4,1,3,8,2,5]=>[5,2,8,3,1,4,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>12 [1,6,3,2,8,5,4,7]=>[6,1,8,3,5,2,4,7]=>[7,4,2,5,3,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [1,3,8,6,4,2,5,7]=>[1,8,6,3,4,2,5,7]=>[7,5,2,4,3,6,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>10 [1,5,7,4,2,3,8,6]=>[1,7,5,4,8,2,3,6]=>[6,3,2,8,4,5,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [3,8,2,7,5,4,1,6]=>[3,8,7,2,5,4,1,6]=>[6,1,4,5,2,7,8,3]=>[[1,3,4,6,7],[2,8],[5]]=>16 [5,4,8,6,7,1,2,3]=>[8,5,4,1,6,2,7,3]=>[3,7,2,6,1,4,5,8]=>[[1,2,7,8],[3,4],[5,6]]=>18 [8,5,2,4,6,7,3,1]=>[5,2,4,6,8,7,3,1]=>[1,3,7,8,6,4,2,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [2,5,8,7,1,4,3,6]=>[2,8,7,5,4,1,3,6]=>[6,3,1,4,5,7,8,2]=>[[1,4,5,6,7],[2,8],[3]]=>14 [6,1,5,8,2,4,3,7]=>[1,6,8,5,2,4,3,7]=>[7,3,4,2,5,8,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [3,4,6,5,8,2,7,1]=>[6,8,3,4,5,2,7,1]=>[1,7,2,5,4,3,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [5,2,4,1,6,7,8,3]=>[5,2,1,4,6,7,8,3]=>[3,8,7,6,4,1,2,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [5,2,8,6,4,7,1,3]=>[5,8,6,2,4,1,7,3]=>[3,7,1,4,2,6,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>17 [8,5,1,3,6,2,7,4]=>[3,5,1,2,6,8,7,4]=>[4,7,8,6,2,1,5,3]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [6,1,3,4,7,2,8,5]=>[3,4,6,1,2,7,8,5]=>[5,8,7,2,1,6,4,3]=>[[1,2],[3,6],[4,7],[5],[8]]=>10 [8,4,7,1,5,3,2,6]=>[1,8,4,5,3,2,7,6]=>[6,7,2,3,5,4,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [8,4,7,2,5,3,1,6]=>[2,4,8,5,3,1,7,6]=>[6,7,1,3,5,8,4,2]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [8,3,4,5,2,1,7,6]=>[3,4,5,2,8,1,7,6]=>[6,7,1,8,2,5,4,3]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [6,3,4,7,2,1,5,8]=>[3,4,6,2,1,7,5,8]=>[8,5,7,1,2,6,4,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>13 [5,3,6,7,2,8,1,4]=>[3,5,6,2,7,1,8,4]=>[4,8,1,7,2,6,5,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [3,4,2,6,1,8,7,5]=>[3,4,6,8,2,7,1,5]=>[5,1,7,2,8,6,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [8,6,1,4,7,3,5,2]=>[1,8,4,6,3,7,5,2]=>[2,5,7,3,6,4,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [5,3,6,7,2,8,4,1]=>[3,5,6,2,7,8,4,1]=>[1,4,8,7,2,6,5,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [5,3,6,7,2,4,8,1]=>[3,5,6,2,7,4,8,1]=>[1,8,4,7,2,6,5,3]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [5,3,6,7,2,4,1,8]=>[3,5,6,2,7,4,1,8]=>[8,1,4,7,2,6,5,3]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [3,8,4,1,6,7,2,5]=>[3,4,6,1,8,7,2,5]=>[5,2,7,8,1,6,4,3]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [5,3,6,7,8,1,2,4]=>[3,5,6,1,7,2,8,4]=>[4,8,2,7,1,6,5,3]=>[[1,2],[3,4],[5,6],[7],[8]]=>15 [8,6,3,1,7,2,5,4]=>[1,8,3,2,6,7,5,4]=>[4,5,7,6,2,3,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [8,6,4,2,7,1,5,3]=>[2,4,1,6,8,7,5,3]=>[3,5,7,8,6,1,4,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [5,6,2,7,1,4,3,8]=>[2,5,1,6,7,4,3,8]=>[8,3,4,7,6,1,5,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [5,3,6,7,4,1,2,8]=>[3,5,6,1,7,4,2,8]=>[8,2,4,7,1,6,5,3]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [8,6,1,4,7,5,2,3]=>[1,8,4,6,2,7,5,3]=>[3,5,7,2,6,4,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [4,1,5,6,7,3,8,2]=>[4,5,6,7,1,3,8,2]=>[2,8,3,1,7,6,5,4]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [4,1,5,6,7,3,2,8]=>[4,5,6,7,1,3,2,8]=>[8,2,3,1,7,6,5,4]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [1,5,8,2,6,7,4,3]=>[1,8,5,6,7,4,2,3]=>[3,2,4,7,6,5,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [5,8,6,1,7,4,3,2]=>[1,8,5,6,7,4,3,2]=>[2,3,4,7,6,5,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>20 [7,1,3,6,5,2,8,4]=>[7,6,3,1,2,5,8,4]=>[4,8,5,2,1,3,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [1,4,7,5,2,3,8,6]=>[4,1,7,5,8,2,3,6]=>[6,3,2,8,5,7,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [6,1,7,5,4,2,8,3]=>[6,1,7,5,2,4,8,3]=>[3,8,4,2,5,7,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [2,7,3,6,5,1,8,4]=>[7,6,2,5,3,8,1,4]=>[4,1,8,3,5,2,6,7]=>[[1,3,5,7,8],[2,4],[6]]=>13 [8,6,5,1,3,7,4,2]=>[1,6,3,5,8,7,4,2]=>[2,4,7,8,5,3,6,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [2,8,4,6,1,7,5,3]=>[4,2,8,6,7,5,1,3]=>[3,1,5,7,6,8,2,4]=>[[1,3,4,6],[2,5,8],[7]]=>15 [8,7,1,4,6,5,3,2]=>[8,1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1,8]=>[[1,2,3,5,6,8],[4],[7]]=>21 [1,2,4,6,8,5,3,7]=>[8,6,4,5,1,2,3,7]=>[7,3,2,1,5,4,6,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [3,1,5,8,6,2,4,7]=>[3,8,5,1,6,2,4,7]=>[7,4,2,6,1,5,8,3]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [2,5,4,6,8,1,3,7]=>[5,8,4,6,2,1,3,7]=>[7,3,1,2,6,4,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>11 [6,5,2,4,7,8,1,3]=>[6,2,5,4,7,1,8,3]=>[3,8,1,7,4,5,2,6]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [7,2,5,8,6,4,1,3]=>[5,7,8,6,2,1,4,3]=>[3,4,1,2,6,8,7,5]=>[[1,2,5,6],[3,4,7],[8]]=>19 [5,2,8,3,4,7,6,1]=>[2,5,8,3,7,4,6,1]=>[1,6,4,7,3,8,5,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [2,4,3,8,7,1,6,5]=>[8,7,4,2,3,6,1,5]=>[5,1,6,3,2,4,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>12 [6,8,7,5,4,3,1,2]=>[8,6,1,7,5,4,3,2]=>[2,3,4,5,7,1,6,8]=>[[1,2,3,4,5,8],[6,7]]=>25 [5,2,6,3,4,8,7,1]=>[5,2,3,6,8,4,7,1]=>[1,7,4,8,6,3,2,5]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [5,4,2,3,6,1,8,7]=>[2,5,4,3,6,8,1,7]=>[7,1,8,6,3,4,5,2]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [4,1,7,3,2,6,8,5]=>[4,1,7,3,6,8,2,5]=>[5,2,8,6,3,7,1,4]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [5,1,7,4,3,6,8,2]=>[7,5,4,1,3,6,8,2]=>[2,8,6,3,1,4,5,7]=>[[1,2,6,7,8],[3],[4],[5]]=>13 [8,1,5,7,6,4,2,3]=>[8,5,1,7,6,2,4,3]=>[3,4,2,6,7,1,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>19 [4,3,7,6,8,2,1,5]=>[7,4,6,8,3,2,1,5]=>[5,1,2,3,8,6,4,7]=>[[1,3,4,5,8],[2,6],[7]]=>16 [6,1,8,5,2,7,3,4]=>[8,1,6,5,2,3,7,4]=>[4,7,3,2,5,6,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [8,7,2,6,3,1,4,5]=>[2,3,1,8,4,7,6,5]=>[5,6,7,4,8,1,3,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [6,5,2,4,7,1,8,3]=>[6,2,5,4,1,7,8,3]=>[3,8,7,1,4,5,2,6]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [8,7,1,6,4,5,2,3]=>[8,1,7,4,2,6,5,3]=>[3,5,6,2,4,7,1,8]=>[[1,2,3,6,8],[4,5],[7]]=>21 [5,4,1,3,7,2,8,6]=>[5,1,4,7,3,8,2,6]=>[6,2,8,3,7,4,1,5]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [7,6,1,5,8,4,2,3]=>[7,6,5,1,2,8,4,3]=>[3,4,8,2,1,5,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>19 [8,6,3,7,2,5,4,1]=>[3,2,8,6,7,5,4,1]=>[1,4,5,7,6,8,2,3]=>[[1,2,3,4,6],[5,8],[7]]=>22 [4,7,8,3,2,6,5,1]=>[7,4,3,8,6,2,5,1]=>[1,5,2,6,8,3,4,7]=>[[1,2,4,5,8],[3,6,7]]=>19 [7,6,3,2,8,5,4,1]=>[3,7,2,6,8,5,4,1]=>[1,4,5,8,6,2,7,3]=>[[1,2,3,4,7],[5,8],[6]]=>20 [4,3,7,1,8,5,2,6]=>[7,4,3,8,1,5,2,6]=>[6,2,5,1,8,3,4,7]=>[[1,3,5,8],[2,6,7],[4]]=>13 [3,7,6,8,2,1,4,5]=>[7,6,3,2,1,8,4,5]=>[5,4,8,1,2,3,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>16 [7,4,2,6,1,8,3,5]=>[2,4,7,1,6,3,8,5]=>[5,8,3,6,1,7,4,2]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [7,4,6,1,8,3,2,5]=>[7,1,4,6,3,2,8,5]=>[5,8,2,3,6,4,1,7]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [3,6,8,7,2,1,4,5]=>[8,6,3,2,1,7,4,5]=>[5,4,7,1,2,3,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>16 [3,8,7,2,5,6,1,4]=>[3,5,8,7,6,2,1,4]=>[4,1,2,6,7,8,5,3]=>[[1,3,4,5,6],[2,7],[8]]=>18 [7,3,6,2,5,8,1,4]=>[3,7,6,2,5,1,8,4]=>[4,8,1,5,2,6,7,3]=>[[1,2,6,7],[3,4,8],[5]]=>17 [8,3,2,1,4,7,5,6]=>[3,8,2,1,4,5,7,6]=>[6,7,5,4,1,2,8,3]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [3,7,6,2,8,1,4,5]=>[3,7,6,2,1,8,4,5]=>[5,4,8,1,2,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>15 [7,4,2,1,6,8,3,5]=>[2,7,1,4,6,3,8,5]=>[5,8,3,6,4,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [7,3,1,8,5,4,2,6]=>[7,5,1,3,4,2,8,6]=>[6,8,2,4,3,1,5,7]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [6,8,3,2,7,1,4,5]=>[3,6,2,1,8,4,7,5]=>[5,7,4,8,1,2,6,3]=>[[1,2,4],[3,6,7],[5,8]]=>17 [4,7,3,1,8,5,2,6]=>[4,3,1,7,8,5,2,6]=>[6,2,5,8,7,1,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>14 [8,3,6,2,5,7,1,4]=>[3,8,2,6,5,1,7,4]=>[4,7,1,5,6,2,8,3]=>[[1,2,5,7],[3,4,8],[6]]=>18 [4,6,8,2,1,7,3,5]=>[2,8,6,4,1,7,3,5]=>[5,3,7,1,4,6,8,2]=>[[1,3,6,7],[2,5],[4,8]]=>15 [3,7,8,2,5,6,1,4]=>[3,7,5,8,6,2,1,4]=>[4,1,2,6,8,5,7,3]=>[[1,3,4,5],[2,6,7],[8]]=>17 [7,5,1,4,2,3,6,8]=>[1,5,2,4,3,7,6,8]=>[8,6,7,3,4,2,5,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [7,8,6,1,2,4,5,3]=>[7,1,2,4,8,6,5,3]=>[3,5,6,8,4,2,1,7]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [1,5,3,4,7,8,6,2]=>[3,5,7,8,4,6,1,2]=>[2,1,6,4,8,7,5,3]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [7,5,1,2,4,6,8,3]=>[5,1,2,4,7,6,8,3]=>[3,8,6,7,4,2,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [6,1,5,2,7,3,4,8]=>[6,1,5,2,3,7,4,8]=>[8,4,7,3,2,5,1,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [1,7,3,6,4,5,8,2]=>[3,7,4,6,5,8,1,2]=>[2,1,8,5,6,4,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [1,8,3,6,4,5,7,2]=>[3,6,4,5,8,7,1,2]=>[2,1,7,8,5,4,6,3]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [7,1,6,2,5,3,4,8]=>[1,7,2,6,3,5,4,8]=>[8,4,5,3,6,2,7,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [8,1,7,2,5,3,4,6]=>[1,8,2,3,5,4,7,6]=>[6,7,4,5,3,2,8,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>14 [8,1,2,7,4,5,6,3]=>[1,2,8,7,4,5,6,3]=>[3,6,5,4,7,8,2,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>14 [1,8,3,7,4,5,6,2]=>[3,4,8,5,7,6,1,2]=>[2,1,6,7,5,8,4,3]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [8,1,6,7,5,2,3,4]=>[1,6,2,8,7,3,5,4]=>[4,5,3,7,8,2,6,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [3,1,2,8,5,6,7,4]=>[1,3,8,5,6,7,2,4]=>[4,2,7,6,5,8,3,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [6,3,1,2,7,4,5,8]=>[1,3,6,2,4,7,5,8]=>[8,5,7,4,2,6,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>9 [6,1,7,4,2,3,5,8]=>[1,6,4,2,3,7,5,8]=>[8,5,7,3,2,4,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [1,7,3,4,6,8,5,2]=>[7,3,4,6,8,5,1,2]=>[2,1,5,8,6,4,3,7]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [1,7,3,8,4,5,6,2]=>[3,7,4,5,8,6,1,2]=>[2,1,6,8,5,4,7,3]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [7,1,8,2,5,3,4,6]=>[1,7,2,5,3,4,8,6]=>[6,8,4,3,5,2,7,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [6,1,7,2,5,3,4,8]=>[6,1,2,7,3,5,4,8]=>[8,4,5,3,7,2,1,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [5,1,8,2,6,3,4,7]=>[5,1,2,8,3,6,4,7]=>[7,4,6,3,8,2,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [1,6,3,7,4,5,8,2]=>[6,3,4,7,5,8,1,2]=>[2,1,8,5,7,4,3,6]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [2,5,7,3,4,1,8,6]=>[2,7,5,3,4,8,1,6]=>[6,1,8,4,3,5,7,2]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [2,5,8,4,3,6,1,7]=>[8,5,2,4,3,6,1,7]=>[7,1,6,3,4,2,5,8]=>[[1,3,5,7,8],[2],[4],[6]]=>13 [3,7,2,8,5,4,1,6]=>[7,3,8,2,5,4,1,6]=>[6,1,4,5,2,8,3,7]=>[[1,3,4,6],[2,7,8],[5]]=>15 [2,3,7,5,4,1,6,8]=>[7,2,5,3,4,1,6,8]=>[8,6,1,4,3,5,2,7]=>[[1,4,6,8],[2],[3],[5],[7]]=>9 [3,4,6,2,1,5,8,7]=>[6,3,4,2,8,1,5,7]=>[7,5,1,8,2,4,3,6]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [2,6,8,3,5,1,4,7]=>[8,2,6,5,3,1,4,7]=>[7,4,1,3,5,6,2,8]=>[[1,4,5,6,8],[2],[3],[7]]=>13 [2,5,8,3,4,1,7,6]=>[2,8,3,5,4,7,1,6]=>[6,1,7,4,5,3,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [2,3,6,1,5,8,4,7]=>[2,6,8,3,5,1,4,7]=>[7,4,1,5,3,8,6,2]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [2,3,7,1,6,5,8,4]=>[7,2,6,3,5,8,1,4]=>[4,1,8,5,3,6,2,7]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [5,4,7,8,1,3,2,6]=>[5,1,7,8,4,3,2,6]=>[6,2,3,4,8,7,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>16 [4,6,3,8,1,5,2,7]=>[6,1,8,4,3,5,2,7]=>[7,2,5,3,4,8,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [2,4,7,1,6,3,5,8]=>[4,7,6,2,1,3,5,8]=>[8,5,3,1,2,6,7,4]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [2,5,7,1,4,3,6,8]=>[2,7,5,4,1,3,6,8]=>[8,6,3,1,4,5,7,2]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [2,5,7,3,1,4,6,8]=>[2,7,5,3,1,4,6,8]=>[8,6,4,1,3,5,7,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>9 [4,6,3,7,1,5,2,8]=>[6,4,3,7,1,5,2,8]=>[8,2,5,1,7,3,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>13 [4,6,3,7,1,5,8,2]=>[6,4,3,7,1,5,8,2]=>[2,8,5,1,7,3,4,6]=>[[1,2,5,8],[3,6,7],[4]]=>14 [3,6,5,7,1,8,2,4]=>[6,5,7,3,1,8,2,4]=>[4,2,8,1,3,7,5,6]=>[[1,3,6,8],[2,5],[4,7]]=>14 [2,6,5,7,1,8,4,3]=>[6,5,2,7,8,4,1,3]=>[3,1,4,8,7,2,5,6]=>[[1,3,4,8],[2,5,7],[6]]=>14 [5,4,7,8,1,3,6,2]=>[5,7,4,1,8,3,6,2]=>[2,6,3,8,1,4,7,5]=>[[1,2,4,7],[3,6],[5,8]]=>17 [2,4,7,1,6,3,8,5]=>[4,7,6,2,8,1,3,5]=>[5,3,1,8,2,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>10 [2,4,7,1,6,8,3,5]=>[4,7,6,8,2,1,3,5]=>[5,3,1,2,8,6,7,4]=>[[1,4,5,7],[2,6],[3,8]]=>11 [2,4,8,3,1,7,6,5]=>[2,8,4,7,3,6,1,5]=>[5,1,6,3,7,4,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>12 [5,3,6,4,7,1,2,8]=>[3,5,6,4,1,7,2,8]=>[8,2,7,1,4,6,5,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>13 [8,6,5,1,2,4,3,7]=>[6,1,2,5,4,3,8,7]=>[7,8,3,4,5,2,1,6]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [7,6,1,4,2,3,5,8]=>[1,4,2,3,7,6,5,8]=>[8,5,6,7,3,2,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [6,5,1,4,7,2,3,8]=>[6,5,1,4,2,7,3,8]=>[8,3,7,2,4,1,5,6]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [6,5,4,8,1,3,2,7]=>[1,6,5,8,4,3,2,7]=>[7,2,3,4,8,5,6,1]=>[[1,3,4,5,7],[2,6],[8]]=>17 [7,5,4,8,3,1,2,6]=>[5,4,1,7,3,2,8,6]=>[6,8,2,3,7,1,4,5]=>[[1,2,5,8],[3,4],[6,7]]=>19 [2,6,3,5,8,4,1,7]=>[6,8,2,5,3,4,1,7]=>[7,1,4,3,5,2,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [7,6,5,3,8,2,1,4]=>[3,7,6,5,2,1,8,4]=>[4,8,1,2,5,6,7,3]=>[[1,2,5,6,7],[3,4],[8]]=>21 [8,7,6,3,1,2,5,4]=>[1,3,8,2,7,6,5,4]=>[4,5,6,7,2,8,3,1]=>[[1,2,3,4,6],[5,7],[8]]=>21 [8,7,1,4,3,2,5,6]=>[4,3,1,2,5,8,7,6]=>[6,7,8,5,2,1,3,4]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [7,6,1,4,2,5,8,3]=>[1,2,7,4,6,5,8,3]=>[3,8,5,6,4,7,2,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>15 [8,7,5,1,4,2,3,6]=>[1,5,2,4,3,8,7,6]=>[6,7,8,3,4,2,5,1]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [6,3,7,4,2,8,1,5]=>[6,3,4,2,7,1,8,5]=>[5,8,1,7,2,4,3,6]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [6,3,7,4,1,5,8,2]=>[6,3,1,4,7,5,8,2]=>[2,8,5,7,4,1,3,6]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [7,4,1,2,5,3,8,6]=>[1,2,4,5,3,7,8,6]=>[6,8,7,3,5,4,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>11 [8,4,1,2,5,3,6,7]=>[1,2,4,5,3,6,8,7]=>[7,8,6,3,5,4,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>11 [8,7,5,1,4,2,6,3]=>[1,5,2,4,8,7,6,3]=>[3,6,7,8,4,2,5,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [8,7,1,4,3,2,6,5]=>[4,3,8,1,2,7,6,5]=>[5,6,7,2,1,8,3,4]=>[[1,2,3,6],[4,7,8],[5]]=>17 [8,7,6,3,1,4,5,2]=>[1,3,4,8,7,6,5,2]=>[2,5,6,7,8,4,3,1]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [8,7,6,3,1,5,4,2]=>[8,1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>23 [2,8,3,7,4,5,1,6]=>[2,3,8,4,7,5,1,6]=>[6,1,5,7,4,8,3,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>14 [8,7,5,2,4,3,6,1]=>[5,2,4,3,8,7,6,1]=>[1,6,7,8,3,4,2,5]=>[[1,2,3,4],[5,6,8],[7]]=>22 [4,2,5,7,3,1,6,8]=>[7,2,4,5,3,1,6,8]=>[8,6,1,3,5,4,2,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>10 [8,2,4,5,3,1,6,7]=>[4,5,2,3,1,6,8,7]=>[7,8,6,1,3,2,5,4]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [8,4,5,1,3,2,6,7]=>[1,4,5,3,2,6,8,7]=>[7,8,6,2,3,5,4,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [4,3,7,5,2,1,6,8]=>[7,4,3,5,2,1,6,8]=>[8,6,1,2,5,3,4,7]=>[[1,4,5,7,8],[2],[3],[6]]=>12 [1,4,5,7,3,2,6,8]=>[7,4,5,3,1,2,6,8]=>[8,6,2,1,3,5,4,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [2,5,1,4,7,8,3,6]=>[2,5,7,8,4,1,3,6]=>[6,3,1,4,8,7,5,2]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [4,3,7,1,5,2,6,8]=>[1,7,4,3,5,2,6,8]=>[8,6,2,5,3,4,7,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>10 [3,5,1,6,4,2,7,8]=>[3,5,6,1,4,2,7,8]=>[8,7,2,4,1,6,5,3]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [6,4,3,1,7,2,5,8]=>[1,4,3,6,2,7,5,8]=>[8,5,7,2,6,3,4,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [2,6,4,1,7,3,5,8]=>[6,2,4,1,7,3,5,8]=>[8,5,3,7,1,4,2,6]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [6,3,2,7,4,5,1,8]=>[3,6,2,4,7,5,1,8]=>[8,1,5,7,4,2,6,3]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [6,3,2,5,7,1,4,8]=>[3,6,2,5,1,7,4,8]=>[8,4,7,1,5,2,6,3]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [3,2,6,5,7,1,4,8]=>[6,3,5,7,2,1,4,8]=>[8,4,1,2,7,5,3,6]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [1,7,3,2,5,6,4,8]=>[1,3,7,5,6,2,4,8]=>[8,4,2,6,5,7,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [2,1,7,3,5,6,8,4]=>[2,5,7,6,8,1,3,4]=>[4,3,1,8,6,7,5,2]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [2,1,6,3,5,7,8,4]=>[2,6,5,7,8,1,3,4]=>[4,3,1,8,7,5,6,2]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [5,6,2,1,4,3,7,8]=>[2,1,5,6,4,3,7,8]=>[8,7,3,4,6,5,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [2,5,1,6,4,3,7,8]=>[2,5,6,4,1,3,7,8]=>[8,7,3,1,4,6,5,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [4,6,1,5,2,7,3,8]=>[4,1,6,2,5,7,3,8]=>[8,3,7,5,2,6,1,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [1,6,5,3,7,2,4,8]=>[6,1,5,7,3,2,4,8]=>[8,4,2,3,7,5,1,6]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [1,2,5,4,7,3,6,8]=>[5,7,4,1,2,3,6,8]=>[8,6,3,2,1,4,7,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [4,8,3,6,5,1,2,7]=>[4,8,3,1,6,5,2,7]=>[7,2,5,6,1,3,8,4]=>[[1,3,4,7],[2,6,8],[5]]=>16 [4,2,7,6,5,1,8,3]=>[7,6,2,4,1,5,8,3]=>[3,8,5,1,4,2,6,7]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [7,8,1,3,6,5,4,2]=>[7,8,1,6,3,5,4,2]=>[2,4,5,3,6,1,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>19 [1,5,3,7,6,2,8,4]=>[7,5,6,1,3,8,2,4]=>[4,2,8,3,1,6,5,7]=>[[1,3,6,8],[2,4],[5,7]]=>10 [1,6,3,7,2,8,5,4]=>[6,1,7,8,3,5,2,4]=>[4,2,5,3,8,7,1,6]=>[[1,3,5],[2,4,6],[7,8]]=>11 [1,5,8,3,6,2,7,4]=>[5,8,1,6,3,7,2,4]=>[4,2,7,3,6,1,8,5]=>[[1,3,5,7],[2,4],[6,8]]=>12 [6,8,7,1,4,5,2,3]=>[1,6,8,4,2,7,5,3]=>[3,5,7,2,4,8,6,1]=>[[1,2,3,6],[4,5,7],[8]]=>20 [7,8,1,4,6,5,2,3]=>[7,8,1,4,2,6,5,3]=>[3,5,6,2,4,1,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>19 [5,8,7,3,1,6,2,4]=>[5,3,1,8,7,2,6,4]=>[4,6,2,7,8,1,3,5]=>[[1,2,4,5],[3,7,8],[6]]=>19 [1,2,7,8,3,5,6,4]=>[7,1,5,8,6,2,3,4]=>[4,3,2,6,8,5,1,7]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [1,6,8,7,2,4,5,3]=>[6,1,8,4,7,5,2,3]=>[3,2,5,7,4,8,1,6]=>[[1,3,4,6],[2,5,8],[7]]=>15 [4,8,7,6,2,1,5,3]=>[4,2,8,7,6,1,5,3]=>[3,5,1,6,7,8,2,4]=>[[1,2,4,5,6],[3,7,8]]=>20 [5,4,2,3,8,6,1,7]=>[5,4,2,8,3,6,1,7]=>[7,1,6,3,8,2,4,5]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [2,6,3,4,1,5,8,7]=>[2,3,6,4,8,1,5,7]=>[7,5,1,8,4,6,3,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [5,6,2,1,4,3,8,7]=>[2,1,5,6,4,8,3,7]=>[7,3,8,4,6,5,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [5,8,6,2,3,4,1,7]=>[2,5,3,8,6,4,1,7]=>[7,1,4,6,8,3,5,2]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [5,8,6,2,1,4,3,7]=>[2,1,5,8,6,4,3,7]=>[7,3,4,6,8,5,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [6,4,7,5,8,2,1,3]=>[4,6,7,5,2,1,8,3]=>[3,8,1,2,5,7,6,4]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [6,3,7,4,2,5,8,1]=>[6,3,4,2,7,5,8,1]=>[1,8,5,7,2,4,3,6]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [4,8,2,1,5,7,6,3]=>[8,4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4,8]=>[[1,2,5,8],[3,6,7],[4]]=>14 [2,1,4,8,5,6,3,7]=>[2,4,8,5,6,1,3,7]=>[7,3,1,6,5,8,4,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [4,8,5,6,2,1,3,7]=>[4,5,2,1,8,6,3,7]=>[7,3,6,8,1,2,5,4]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [6,2,1,5,8,4,3,7]=>[6,8,2,5,1,4,3,7]=>[7,3,4,1,5,2,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>12 [7,5,6,2,4,3,8,1]=>[2,5,7,6,4,3,8,1]=>[1,8,3,4,6,7,5,2]=>[[1,2,4,5,6],[3],[7],[8]]=>19 [2,6,3,4,1,8,5,7]=>[2,3,6,8,4,1,5,7]=>[7,5,1,4,8,6,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [4,6,2,5,7,3,8,1]=>[4,6,2,5,7,3,8,1]=>[1,8,3,7,5,2,6,4]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [4,2,8,5,3,6,1,7]=>[2,4,8,5,3,6,1,7]=>[7,1,6,3,5,8,4,2]=>[[1,3,5,6],[2],[4],[7],[8]]=>13 [2,3,6,7,8,4,1,5]=>[6,7,2,8,3,4,1,5]=>[5,1,4,3,8,2,7,6]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [6,2,4,5,8,1,7,3]=>[2,6,4,5,8,1,7,3]=>[3,7,1,8,5,4,6,2]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [8,1,7,4,5,6,2,3]=>[1,8,4,7,5,2,6,3]=>[3,6,2,5,7,4,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [2,1,7,8,4,3,6,5]=>[2,7,4,8,6,1,3,5]=>[5,3,1,6,8,4,7,2]=>[[1,4,5],[2,6,7],[3,8]]=>11 [6,2,1,4,5,7,8,3]=>[6,2,1,4,5,7,8,3]=>[3,8,7,5,4,1,2,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [6,4,2,3,8,1,7,5]=>[2,4,3,6,8,1,7,5]=>[5,7,1,8,6,3,4,2]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [6,5,4,2,1,8,3,7]=>[2,6,5,4,1,8,3,7]=>[7,3,8,1,4,5,6,2]=>[[1,3,6,7],[2,5],[4,8]]=>15 [5,4,3,1,8,6,2,7]=>[5,4,3,8,1,6,2,7]=>[7,2,6,1,8,3,4,5]=>[[1,3,5,8],[2,6,7],[4]]=>13 [7,6,5,3,1,2,8,4]=>[1,3,2,7,6,5,8,4]=>[4,8,5,6,7,2,3,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [6,5,4,1,2,8,7,3]=>[1,2,6,5,8,4,7,3]=>[3,7,4,8,5,6,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [6,5,3,2,1,8,4,7]=>[3,2,6,5,1,8,4,7]=>[7,4,8,1,5,6,2,3]=>[[1,3,6],[2,5,8],[4,7]]=>14 [5,4,1,6,2,8,3,7]=>[5,1,4,6,2,8,3,7]=>[7,3,8,2,6,4,1,5]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [5,4,2,1,8,6,3,7]=>[2,5,4,8,1,6,3,7]=>[7,3,6,1,8,4,5,2]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [6,5,3,1,4,7,8,2]=>[1,3,6,5,4,7,8,2]=>[2,8,7,4,5,6,3,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>14 [5,1,3,2,6,4,7,8]=>[3,1,2,5,6,4,7,8]=>[8,7,4,6,5,2,1,3]=>[[1,4],[2,8],[3],[5],[6],[7]]=>6 [4,2,5,1,8,6,7,3]=>[8,2,4,1,5,6,7,3]=>[3,7,6,5,1,4,2,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [7,5,8,1,4,2,6,3]=>[5,1,2,7,4,8,6,3]=>[3,6,8,4,7,2,1,5]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [4,5,3,7,1,6,8,2]=>[4,5,3,7,1,6,8,2]=>[2,8,6,1,7,3,5,4]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [2,7,4,1,8,5,6,3]=>[4,7,2,5,8,6,1,3]=>[3,1,6,8,5,2,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>13 [5,2,8,1,4,7,6,3]=>[8,5,2,7,1,4,6,3]=>[3,6,4,1,7,2,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>14 [3,5,2,8,6,4,7,1]=>[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[[1,2,5,7,8],[3,6],[4]]=>14 [4,1,3,6,2,8,5,7]=>[4,6,8,1,3,2,5,7]=>[7,5,2,3,1,8,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [5,2,4,7,6,1,8,3]=>[5,7,2,4,1,6,8,3]=>[3,8,6,1,4,2,7,5]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [7,3,5,1,6,4,8,2]=>[7,3,1,5,6,4,8,2]=>[2,8,4,6,5,1,3,7]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [7,5,2,3,6,1,4,8]=>[2,3,5,1,7,6,4,8]=>[8,4,6,7,1,5,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [6,2,5,8,4,7,1,3]=>[6,8,5,2,4,1,7,3]=>[3,7,1,4,2,5,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>17 [5,1,4,7,2,6,8,3]=>[5,4,7,1,2,6,8,3]=>[3,8,6,2,1,7,4,5]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [1,6,5,8,2,3,7,4]=>[1,6,5,8,2,7,3,4]=>[4,3,7,2,8,5,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [2,5,7,1,6,4,8,3]=>[5,7,2,6,4,8,1,3]=>[3,1,8,4,6,2,7,5]=>[[1,3,5,7],[2,4,8],[6]]=>12 [1,8,2,5,6,4,7,3]=>[1,8,5,6,4,7,2,3]=>[3,2,7,4,6,5,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [3,7,4,6,1,8,5,2]=>[3,4,7,6,8,1,5,2]=>[2,5,1,8,6,7,4,3]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [5,6,1,2,4,7,3,8]=>[1,2,5,6,4,7,3,8]=>[8,3,7,4,6,5,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>10 [1,6,3,4,7,2,8,5]=>[1,6,7,3,4,8,2,5]=>[5,2,8,4,3,7,6,1]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [8,3,7,6,2,1,5,4]=>[3,2,8,7,6,1,5,4]=>[4,5,1,6,7,8,2,3]=>[[1,2,4,5,6],[3,7,8]]=>20 [8,5,2,7,6,1,4,3]=>[2,5,8,7,1,6,4,3]=>[3,4,6,1,7,8,5,2]=>[[1,2,3,5,6],[4,7],[8]]=>20 [8,3,7,6,2,5,1,4]=>[3,8,7,6,2,1,5,4]=>[4,5,1,2,6,7,8,3]=>[[1,2,5,6,7],[3,4,8]]=>21 [7,3,8,6,5,1,4,2]=>[7,3,8,6,1,5,4,2]=>[2,4,5,1,6,8,3,7]=>[[1,2,3,5,6],[4,7,8]]=>21 [7,1,3,2,5,8,6,4]=>[7,3,8,1,2,5,6,4]=>[4,6,5,2,1,8,3,7]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [2,6,3,7,5,4,8,1]=>[6,7,2,5,3,4,8,1]=>[1,8,4,3,5,2,7,6]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [3,1,4,6,8,7,5,2]=>[8,6,7,1,3,4,5,2]=>[2,5,4,3,1,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [2,7,5,1,4,8,6,3]=>[2,5,4,7,8,6,1,3]=>[3,1,6,8,7,4,5,2]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [1,8,2,6,4,7,3,5]=>[1,8,6,7,2,4,3,5]=>[5,3,4,2,7,6,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [3,1,7,2,4,8,6,5]=>[1,3,7,8,6,2,4,5]=>[5,4,2,6,8,7,3,1]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [8,1,7,6,3,4,2,5]=>[1,8,3,7,4,2,6,5]=>[5,6,2,4,7,3,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [8,1,4,2,5,7,3,6]=>[8,1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1,8]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [7,2,6,5,8,4,3,1]=>[7,6,5,8,2,4,3,1]=>[1,3,4,2,8,5,6,7]=>[[1,2,3,5,7,8],[4,6]]=>20 [3,5,8,4,6,2,1,7]=>[8,3,5,4,6,2,1,7]=>[7,1,2,6,4,5,3,8]=>[[1,3,4,6,8],[2],[5],[7]]=>15 [5,8,2,3,4,6,1,7]=>[2,3,5,4,8,6,1,7]=>[7,1,6,8,4,5,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [6,1,3,4,2,5,7,8]=>[3,4,1,2,6,5,7,8]=>[8,7,5,6,2,1,4,3]=>[[1,4],[2,7],[3,8],[5],[6]]=>7 [1,5,6,3,2,4,7,8]=>[1,5,6,3,2,4,7,8]=>[8,7,4,2,3,6,5,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [7,8,3,5,2,4,6,1]=>[7,3,2,5,4,8,6,1]=>[1,6,8,4,5,2,3,7]=>[[1,2,3,8],[4,5],[6,7]]=>20 [2,4,5,7,3,6,1,8]=>[7,4,5,2,3,6,1,8]=>[8,1,6,3,2,5,4,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [2,5,3,1,6,4,7,8]=>[2,5,3,6,1,4,7,8]=>[8,7,4,1,6,3,5,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [6,5,1,3,4,2,7,8]=>[1,6,3,5,4,2,7,8]=>[8,7,2,4,5,3,6,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>11 [5,7,4,3,2,6,1,8]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[[1,3,5,6,7,8],[2],[4]]=>16 [2,6,7,8,4,3,5,1]=>[6,2,7,8,4,3,5,1]=>[1,5,3,4,8,7,2,6]=>[[1,2,4,5],[3,6],[7,8]]=>17 [1,7,8,4,5,3,6,2]=>[4,7,5,3,8,6,1,2]=>[2,1,6,8,3,5,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>16 [7,1,8,5,3,4,6,2]=>[7,1,3,8,5,4,6,2]=>[2,6,4,5,8,3,1,7]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [5,1,4,7,3,6,2,8]=>[5,7,4,1,3,6,2,8]=>[8,2,6,3,1,4,7,5]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [7,4,8,6,3,5,2,1]=>[7,8,4,3,6,5,2,1]=>[1,2,5,6,3,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>23 [4,7,6,3,5,2,1,8]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[[1,3,4,6,7,8],[2],[5]]=>17 [6,1,3,8,7,5,2,4]=>[8,6,7,3,1,2,5,4]=>[4,5,2,1,3,7,6,8]=>[[1,2,6,8],[3,5,7],[4]]=>15 [1,7,5,6,8,2,4,3]=>[5,1,7,6,8,4,2,3]=>[3,2,4,8,6,7,1,5]=>[[1,3,4,6],[2,5],[7,8]]=>15 [3,6,7,5,8,2,4,1]=>[6,7,5,8,3,2,4,1]=>[1,4,2,3,8,5,7,6]=>[[1,2,4,5,7],[3,6],[8]]=>18 [3,6,7,4,2,8,5,1]=>[6,3,7,4,8,2,5,1]=>[1,5,2,8,4,7,3,6]=>[[1,2,4,6],[3,5],[7,8]]=>16 [4,6,3,2,7,8,5,1]=>[6,4,3,7,8,2,5,1]=>[1,5,2,8,7,3,4,6]=>[[1,2,4,7,8],[3,5],[6]]=>15 [7,6,1,3,4,2,5,8]=>[3,4,1,2,7,6,5,8]=>[8,5,6,7,2,1,4,3]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [7,8,2,6,4,5,3,1]=>[7,2,8,4,6,5,3,1]=>[1,3,5,6,4,8,2,7]=>[[1,2,3,4,6],[5,8],[7]]=>22 [7,2,5,4,6,1,3,8]=>[7,2,5,4,1,6,3,8]=>[8,3,6,1,4,5,2,7]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [7,1,2,4,5,6,3,8]=>[1,2,7,4,5,6,3,8]=>[8,3,6,5,4,7,2,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>9 [7,3,2,1,5,6,4,8]=>[3,7,2,1,5,6,4,8]=>[8,4,6,5,1,2,7,3]=>[[1,3,7],[2,6,8],[4],[5]]=>11 [3,6,2,1,7,5,4,8]=>[3,2,6,7,5,1,4,8]=>[8,4,1,5,7,6,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [2,6,7,3,1,5,4,8]=>[2,6,3,7,5,1,4,8]=>[8,4,1,5,7,3,6,2]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [2,1,6,4,7,5,3,8]=>[2,6,7,4,5,1,3,8]=>[8,3,1,5,4,7,6,2]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [7,6,8,5,4,1,3,2]=>[1,7,6,8,5,4,3,2]=>[2,3,4,5,8,6,7,1]=>[[1,2,3,4,5,7],[6],[8]]=>24 [7,8,6,3,1,5,4,2]=>[1,3,7,8,6,5,4,2]=>[2,4,5,6,8,7,3,1]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [7,6,1,4,5,3,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[1,3,4,6,7],[2],[5],[8]]=>16 [4,1,3,8,6,2,7,5]=>[4,8,6,1,3,7,2,5]=>[5,2,7,3,1,6,8,4]=>[[1,3,6,7],[2,4],[5,8]]=>11 [8,2,6,3,1,5,7,4]=>[2,3,8,1,6,5,7,4]=>[4,7,5,6,1,8,3,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [8,2,5,6,7,4,3,1]=>[5,6,8,7,2,4,3,1]=>[1,3,4,2,7,8,6,5]=>[[1,2,3,5,6],[4,7],[8]]=>20 [5,1,6,4,7,3,2,8]=>[5,6,4,7,1,3,2,8]=>[8,2,3,1,7,4,6,5]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [8,2,5,3,4,7,6,1]=>[2,5,8,3,4,7,6,1]=>[1,6,7,4,3,8,5,2]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [8,2,5,3,4,7,1,6]=>[2,5,8,3,4,1,7,6]=>[6,7,1,4,3,8,5,2]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [7,1,2,3,6,8,4,5]=>[7,6,1,2,3,4,8,5]=>[5,8,4,3,2,1,6,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [8,2,5,3,4,1,6,7]=>[2,5,3,4,1,6,8,7]=>[7,8,6,1,4,3,5,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [5,7,3,6,8,4,1,2]=>[5,7,3,6,1,8,4,2]=>[2,4,8,1,6,3,7,5]=>[[1,2,3,7],[4,5,8],[6]]=>19 [7,1,6,8,5,3,4,2]=>[7,6,1,8,5,3,4,2]=>[2,4,3,5,8,1,6,7]=>[[1,2,4,5,8],[3,7],[6]]=>19 [6,7,2,8,3,4,5,1]=>[6,2,3,7,4,8,5,1]=>[1,5,8,4,7,3,2,6]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [8,2,4,1,6,5,7,3]=>[2,8,1,4,6,5,7,3]=>[3,7,5,6,4,1,8,2]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [7,6,2,8,3,1,5,4]=>[2,7,3,1,6,8,5,4]=>[4,5,8,6,1,3,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [7,1,6,8,5,3,2,4]=>[1,7,6,8,3,2,5,4]=>[4,5,2,3,8,6,7,1]=>[[1,2,5,7],[3,4,6],[8]]=>18 [6,1,2,3,8,4,7,5]=>[6,8,1,2,3,4,7,5]=>[5,7,4,3,2,1,8,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [6,5,2,4,3,1,8,7]=>[6,2,5,4,3,8,1,7]=>[7,1,8,3,4,5,2,6]=>[[1,3,5,6,8],[2,4],[7]]=>14 [6,5,2,4,3,1,7,8]=>[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[[1,4,5,6,8],[2],[3],[7]]=>13 [8,1,6,7,4,2,5,3]=>[1,6,2,8,7,4,5,3]=>[3,5,4,7,8,2,6,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [8,1,6,7,4,2,3,5]=>[1,8,6,2,4,3,7,5]=>[5,7,3,4,2,6,8,1]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [8,1,6,4,5,2,3,7]=>[4,1,6,5,2,3,8,7]=>[7,8,3,2,5,6,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [8,1,6,4,5,2,7,3]=>[8,1,4,2,6,5,7,3]=>[3,7,5,6,2,4,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [8,6,4,7,2,3,5,1]=>[4,2,6,3,8,7,5,1]=>[1,5,7,8,3,6,2,4]=>[[1,2,3,4],[5,6],[7,8]]=>22 [8,6,4,1,2,3,7,5]=>[1,2,4,3,6,8,7,5]=>[5,7,8,6,3,4,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [8,6,1,4,5,2,7,3]=>[6,1,4,2,5,8,7,3]=>[3,7,8,5,2,4,1,6]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [8,6,7,4,2,5,1,3]=>[2,6,4,1,8,7,5,3]=>[3,5,7,8,1,4,6,2]=>[[1,2,3,4],[5,6,7],[8]]=>23 [8,6,4,2,5,3,7,1]=>[2,4,6,5,3,8,7,1]=>[1,7,8,3,5,6,4,2]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [8,6,4,1,5,7,2,3]=>[1,6,4,5,2,8,7,3]=>[3,7,8,2,5,4,6,1]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [8,6,1,4,7,2,5,3]=>[4,1,2,8,6,7,5,3]=>[3,5,7,6,8,2,1,4]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [8,6,4,1,5,2,3,7]=>[4,1,2,6,5,3,8,7]=>[7,8,3,5,6,2,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [8,6,1,4,7,2,3,5]=>[4,1,6,2,3,8,7,5]=>[5,7,8,3,2,6,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [8,6,7,1,4,5,2,3]=>[6,4,1,2,8,7,5,3]=>[3,5,7,8,2,1,4,6]=>[[1,2,3,4],[5,7,8],[6]]=>21 [8,6,4,5,2,7,3,1]=>[4,2,6,5,8,7,3,1]=>[1,3,7,8,5,6,2,4]=>[[1,2,3,4],[5,6],[7,8]]=>22 [8,6,7,4,2,1,5,3]=>[2,1,6,4,8,7,5,3]=>[3,5,7,8,4,6,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>22 [8,6,4,7,2,1,5,3]=>[4,2,1,6,8,7,5,3]=>[3,5,7,8,6,1,2,4]=>[[1,2,3,4],[5,7,8],[6]]=>21 [8,6,4,2,5,7,3,1]=>[2,4,6,5,8,7,3,1]=>[1,3,7,8,5,6,4,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [8,6,4,2,5,1,7,3]=>[2,4,1,6,5,8,7,3]=>[3,7,8,5,6,1,4,2]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [8,6,4,5,1,2,7,3]=>[1,4,2,6,5,8,7,3]=>[3,7,8,5,6,2,4,1]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [8,6,4,2,5,7,1,3]=>[2,4,6,5,1,8,7,3]=>[3,7,8,1,5,6,4,2]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [3,4,7,5,8,2,6,1]=>[3,7,8,4,5,2,6,1]=>[1,6,2,5,4,8,7,3]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [8,7,1,4,6,5,2,3]=>[8,7,1,4,2,6,5,3]=>[3,5,6,2,4,1,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>20 [8,3,7,6,4,5,1,2]=>[3,8,7,4,1,6,5,2]=>[2,5,6,1,4,7,8,3]=>[[1,2,3,6,7],[4,5],[8]]=>22 [7,4,5,1,2,8,6,3]=>[1,4,2,5,7,8,6,3]=>[3,6,8,7,5,2,4,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [6,4,7,1,8,5,2,3]=>[1,4,6,7,2,8,5,3]=>[3,5,8,2,7,6,4,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [5,7,4,2,3,8,6,1]=>[2,7,5,4,8,3,6,1]=>[1,6,3,8,4,5,7,2]=>[[1,2,4,6,7],[3,5],[8]]=>17 [3,8,2,5,1,7,4,6]=>[8,3,2,5,1,7,4,6]=>[6,4,7,1,5,2,3,8]=>[[1,3,7,8],[2,5],[4,6]]=>13 [4,8,5,2,1,7,3,6]=>[4,2,5,1,8,7,3,6]=>[6,3,7,8,1,5,2,4]=>[[1,3,4],[2,6,8],[5,7]]=>15 [8,5,7,6,1,2,4,3]=>[1,5,8,2,7,6,4,3]=>[3,4,6,7,2,8,5,1]=>[[1,2,3,4,6],[5,7],[8]]=>21 [6,8,7,5,2,4,1,3]=>[6,8,2,1,7,5,4,3]=>[3,4,5,7,1,2,8,6]=>[[1,2,3,4,7],[5,6,8]]=>23 [5,7,6,8,4,1,3,2]=>[7,5,1,6,8,4,3,2]=>[2,3,4,8,6,1,5,7]=>[[1,2,3,4,8],[5,7],[6]]=>21 [7,3,1,6,8,5,4,2]=>[7,6,8,1,3,5,4,2]=>[2,4,5,3,1,8,6,7]=>[[1,2,3,6,8],[4,7],[5]]=>17 [5,3,1,7,4,8,6,2]=>[5,1,3,7,8,4,6,2]=>[2,6,4,8,7,3,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [7,3,1,8,6,4,5,2]=>[7,1,8,3,4,6,5,2]=>[2,5,6,4,3,8,1,7]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [8,6,4,1,7,3,2,5]=>[4,6,1,3,2,8,7,5]=>[5,7,8,2,3,1,6,4]=>[[1,2,3],[4,5,7],[6,8]]=>19 [6,4,8,3,7,2,1,5]=>[4,6,8,3,2,1,7,5]=>[5,7,1,2,3,8,6,4]=>[[1,2,5,6],[3,4,7],[8]]=>19 [6,8,4,2,7,3,1,5]=>[6,4,2,8,3,1,7,5]=>[5,7,1,3,8,2,4,6]=>[[1,2,5,8],[3,4,7],[6]]=>19 [5,4,8,6,7,3,2,1]=>[8,5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5,8]=>[[1,2,3,4,7,8],[5],[6]]=>21 [9,8,2,3,4,5,6,7,1]=>[2,3,4,5,6,9,8,7,1]=>[1,7,8,9,6,5,4,3,2]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>21 [9,8,7,6,4,5,3,2,1]=>[4,9,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,9,4]=>[[1,2,3,4,5,6,7,8],[9]]=>35 [10,9,2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,10,9,8,1]=>[1,8,9,10,7,6,5,4,3,2]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>24 [3,4,7,8,5,1,2,6]=>[7,3,8,4,1,5,2,6]=>[6,2,5,1,4,8,3,7]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [4,7,3,2,5,6,8,1]=>[4,3,2,7,5,6,8,1]=>[1,8,6,5,7,2,3,4]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [3,2,7,6,4,5,8,1]=>[7,6,3,2,4,5,8,1]=>[1,8,5,4,2,3,6,7]=>[[1,2,6,7,8],[3],[4],[5]]=>13 [1,7,3,6,8,4,2,5]=>[7,6,1,8,3,4,2,5]=>[5,2,4,3,8,1,6,7]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [2,3,6,5,1,8,7,4]=>[6,5,8,2,3,7,1,4]=>[4,1,7,3,2,8,5,6]=>[[1,3,6,8],[2,4,7],[5]]=>10 [3,6,4,7,1,2,8,5]=>[3,6,1,7,4,8,2,5]=>[5,2,8,4,7,1,6,3]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [4,3,7,8,1,5,2,6]=>[7,1,8,4,3,5,2,6]=>[6,2,5,3,4,8,1,7]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [8,5,4,2,6,1,7,3]=>[2,5,4,1,6,8,7,3]=>[3,7,8,6,1,4,5,2]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [2,3,7,5,1,8,6,4]=>[7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]=>[[1,3,5,8],[2,4,6],[7]]=>11 [6,3,1,2,8,7,4,5]=>[8,1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1,8]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [7,2,1,5,3,8,4,6]=>[5,2,7,1,3,4,8,6]=>[6,8,4,3,1,7,2,5]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [8,6,1,7,2,4,3,5]=>[6,1,4,2,3,8,7,5]=>[5,7,8,3,2,4,1,6]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [3,1,2,8,7,4,5,6]=>[1,8,7,3,2,4,5,6]=>[6,5,4,2,3,7,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>9 [2,1,3,8,7,4,6,5]=>[2,8,7,6,1,3,4,5]=>[5,4,3,1,6,7,8,2]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [2,1,3,8,7,4,5,6]=>[2,1,8,7,3,4,5,6]=>[6,5,4,3,7,8,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [1,6,8,3,2,4,7,5]=>[6,1,3,8,2,7,4,5]=>[5,4,7,2,8,3,1,6]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [8,5,1,7,2,4,3,6]=>[1,2,5,8,4,3,7,6]=>[6,7,3,4,8,5,2,1]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [8,4,1,7,3,2,5,6]=>[8,1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [8,3,1,6,2,7,5,4]=>[8,3,1,6,7,2,5,4]=>[4,5,2,7,6,1,3,8]=>[[1,2,4,8],[3,5],[6,7]]=>15 [1,3,2,8,7,6,4,5]=>[8,7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>10 [2,1,3,8,7,6,4,5]=>[8,7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>10 [1,7,2,6,8,3,4,5]=>[1,7,6,2,3,8,4,5]=>[5,4,8,3,2,6,7,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [3,6,8,4,2,1,7,5]=>[3,8,6,4,2,7,1,5]=>[5,1,7,2,4,6,8,3]=>[[1,3,5,6,7],[2,4],[8]]=>15 [2,6,8,3,1,5,4,7]=>[2,3,8,6,5,1,4,7]=>[7,4,1,5,6,8,3,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [6,3,7,8,2,1,5,4]=>[6,7,3,2,8,1,5,4]=>[4,5,1,8,2,3,7,6]=>[[1,2,4,7],[3,5,6],[8]]=>17 [2,4,8,3,1,6,7,5]=>[4,2,3,8,6,7,1,5]=>[5,1,7,6,8,3,2,4]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [3,4,2,6,1,5,8,7]=>[3,4,6,2,8,1,5,7]=>[7,5,1,8,2,6,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [3,5,8,4,2,1,6,7]=>[8,3,5,4,2,1,6,7]=>[7,6,1,2,4,5,3,8]=>[[1,4,5,6,8],[2],[3],[7]]=>13 [2,5,8,3,1,4,6,7]=>[2,8,3,1,5,4,6,7]=>[7,6,4,5,1,3,8,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [2,7,5,6,8,1,4,3]=>[5,7,6,2,8,4,1,3]=>[3,1,4,8,2,6,7,5]=>[[1,3,4,7],[2,5,6],[8]]=>16 [3,2,6,7,1,5,8,4]=>[6,7,3,2,5,8,1,4]=>[4,1,8,5,2,3,7,6]=>[[1,3,6,7],[2,4,8],[5]]=>11 [1,3,7,6,2,5,4,8]=>[3,7,6,5,1,2,4,8]=>[8,4,2,1,5,6,7,3]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [2,8,7,1,4,3,5,6]=>[2,4,1,3,8,7,5,6]=>[6,5,7,8,3,1,4,2]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [8,7,4,6,1,3,2,5]=>[8,1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1,8]=>[[1,2,3,8],[4,5,6],[7]]=>21 [7,3,8,6,1,4,5,2]=>[3,7,1,8,4,6,5,2]=>[2,5,6,4,8,1,7,3]=>[[1,2,3,5],[4,7],[6,8]]=>19 [5,4,7,8,3,2,6,1]=>[5,7,8,4,3,2,6,1]=>[1,6,2,3,4,8,7,5]=>[[1,2,4,5,6],[3,7],[8]]=>19 [3,2,5,4,6,8,1,7]=>[3,5,8,2,4,6,1,7]=>[7,1,6,4,2,8,5,3]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [7,4,5,8,3,1,6,2]=>[4,5,1,7,3,8,6,2]=>[2,6,8,3,7,1,5,4]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [3,6,8,2,5,1,4,7]=>[3,8,6,5,2,1,4,7]=>[7,4,1,2,5,6,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>14 [3,6,8,7,2,5,4,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[[1,2,4,5,8],[3,6,7]]=>19 [3,5,7,2,8,1,6,4]=>[7,5,8,3,2,6,1,4]=>[4,1,6,2,3,8,5,7]=>[[1,3,5,6,8],[2,4,7]]=>14 [4,7,6,8,3,5,2,1]=>[7,6,8,4,3,5,2,1]=>[1,2,5,3,4,8,6,7]=>[[1,2,3,5,6,8],[4,7]]=>21 [3,4,7,5,8,1,6,2]=>[3,7,4,5,8,1,6,2]=>[2,6,1,8,5,4,7,3]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [2,4,6,7,8,3,5,1]=>[6,7,8,4,2,3,5,1]=>[1,5,3,2,4,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>14 [1,4,2,5,7,6,3,8]=>[7,1,4,5,6,2,3,8]=>[8,3,2,6,5,4,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [1,4,2,6,8,5,3,7]=>[8,6,1,4,5,2,3,7]=>[7,3,2,5,4,1,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [1,6,8,3,5,4,2,7]=>[8,3,6,5,4,1,2,7]=>[7,2,1,4,5,6,3,8]=>[[1,4,5,6,8],[2,7],[3]]=>13 [1,5,3,2,4,6,8,7]=>[5,1,3,8,2,4,6,7]=>[7,6,4,2,8,3,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [1,6,3,2,4,7,5,8]=>[3,1,2,6,7,4,5,8]=>[8,5,4,7,6,2,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>6 [1,6,3,2,4,8,7,5]=>[3,8,1,2,6,7,4,5]=>[5,4,7,6,2,1,8,3]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [1,2,7,6,4,3,5,8]=>[7,1,6,4,2,3,5,8]=>[8,5,3,2,4,6,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>8 [1,8,7,5,2,4,6,3]=>[5,1,4,8,7,6,2,3]=>[3,2,6,7,8,4,1,5]=>[[1,3,4,5],[2,6,8],[7]]=>16 [1,7,4,2,5,3,6,8]=>[1,2,7,4,5,3,6,8]=>[8,6,3,5,4,7,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>8 [1,8,4,7,5,2,6,3]=>[4,1,8,5,7,6,2,3]=>[3,2,6,7,5,8,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>15 [1,7,5,2,3,6,4,8]=>[1,2,5,7,6,3,4,8]=>[8,4,3,6,7,5,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [1,7,5,2,6,3,4,8]=>[5,1,2,7,6,3,4,8]=>[8,4,3,6,7,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [1,6,3,7,4,2,5,8]=>[6,1,7,3,4,2,5,8]=>[8,5,2,4,3,7,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [1,6,3,2,7,5,4,8]=>[1,6,7,3,5,2,4,8]=>[8,4,2,5,3,7,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [1,3,7,6,4,2,5,8]=>[3,7,6,4,1,2,5,8]=>[8,5,2,1,4,6,7,3]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [1,3,2,4,8,5,7,6]=>[3,8,7,1,2,4,5,6]=>[6,5,4,2,1,7,8,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [1,4,6,3,2,7,5,8]=>[6,4,3,7,1,2,5,8]=>[8,5,2,1,7,3,4,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,4,6,3,2,8,7,5]=>[6,4,8,3,7,1,2,5]=>[5,2,1,7,3,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>9 [1,5,7,6,4,2,3,8]=>[7,5,1,6,4,2,3,8]=>[8,3,2,4,6,1,5,7]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [1,6,3,2,8,4,7,5]=>[3,6,8,1,2,7,4,5]=>[5,4,7,2,1,8,6,3]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [1,6,3,5,2,8,7,4]=>[6,5,8,1,3,7,2,4]=>[4,2,7,3,1,8,5,6]=>[[1,3,6,8],[2,4,7],[5]]=>10 [6,4,7,1,5,3,8,2]=>[1,4,6,7,5,3,8,2]=>[2,8,3,5,7,6,4,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>16 [5,3,8,2,6,4,7,1]=>[5,3,8,2,6,4,7,1]=>[1,7,4,6,2,8,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>16 [4,3,8,2,6,5,7,1]=>[4,3,8,6,2,5,7,1]=>[1,7,5,2,6,8,3,4]=>[[1,2,5,6],[3,7,8],[4]]=>15 [2,6,1,8,3,4,7,5]=>[6,2,8,1,3,7,4,5]=>[5,4,7,3,1,8,2,6]=>[[1,3,6],[2,7,8],[4],[5]]=>10 [1,6,2,8,3,4,7,5]=>[1,6,8,2,3,7,4,5]=>[5,4,7,3,2,8,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [6,5,7,1,4,3,8,2]=>[6,1,5,7,4,3,8,2]=>[2,8,3,4,7,5,1,6]=>[[1,2,4,5,8],[3],[6],[7]]=>17 [4,8,3,5,7,6,1,2]=>[4,8,3,7,5,1,6,2]=>[2,6,1,5,7,3,8,4]=>[[1,2,5,7],[3,4,8],[6]]=>18 [4,8,3,5,7,6,2,1]=>[4,8,3,7,5,6,2,1]=>[1,2,6,5,7,3,8,4]=>[[1,2,3,5,7],[4,8],[6]]=>19 [1,3,4,2,8,5,7,6]=>[3,8,4,7,1,2,5,6]=>[6,5,2,1,7,4,8,3]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [5,7,6,2,4,8,3,1]=>[5,7,2,6,4,8,3,1]=>[1,3,8,4,6,2,7,5]=>[[1,2,3,5,7],[4,8],[6]]=>19 [3,2,1,4,8,5,7,6]=>[8,3,2,7,1,4,5,6]=>[6,5,4,1,7,2,3,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [7,3,1,4,2,6,5,8]=>[1,3,4,7,2,6,5,8]=>[8,5,6,2,7,4,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [7,6,1,4,2,5,3,8]=>[1,2,7,4,6,5,3,8]=>[8,3,5,6,4,7,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>14 [7,6,2,5,1,4,3,8]=>[2,7,6,1,5,4,3,8]=>[8,3,4,5,1,6,7,2]=>[[1,3,4,6,7],[2,8],[5]]=>16 [6,7,2,5,1,4,3,8]=>[6,2,7,1,5,4,3,8]=>[8,3,4,5,1,7,2,6]=>[[1,3,4,6],[2,7,8],[5]]=>15 [6,3,1,7,2,5,4,8]=>[3,1,6,7,2,5,4,8]=>[8,4,5,2,7,6,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [6,3,1,8,2,5,4,7]=>[1,6,3,8,2,5,4,7]=>[7,4,5,2,8,3,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [6,4,1,8,2,5,3,7]=>[1,4,2,6,8,5,3,7]=>[7,3,5,8,6,2,4,1]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [5,7,1,4,3,8,2,6]=>[7,5,1,4,8,3,2,6]=>[6,2,3,8,4,1,5,7]=>[[1,3,4,7,8],[2,5],[6]]=>14 [5,4,1,8,2,6,3,7]=>[1,5,4,8,2,6,3,7]=>[7,3,6,2,8,4,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [5,3,1,8,2,6,4,7]=>[3,1,5,8,2,6,4,7]=>[7,4,6,2,8,5,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [5,3,1,7,2,6,4,8]=>[1,3,5,7,2,6,4,8]=>[8,4,6,2,7,5,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [6,3,1,5,2,7,4,8]=>[3,1,6,2,5,7,4,8]=>[8,4,7,5,2,6,1,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [6,5,1,4,2,7,3,8]=>[1,6,2,5,4,7,3,8]=>[8,3,7,4,5,2,6,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [6,4,1,3,2,7,5,8]=>[4,1,3,2,6,7,5,8]=>[8,5,7,6,2,3,1,4]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [6,2,1,4,3,7,5,8]=>[2,4,1,3,6,7,5,8]=>[8,5,7,6,3,1,4,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>8 [5,6,1,4,2,8,3,7]=>[5,6,1,4,2,8,3,7]=>[7,3,8,2,4,1,6,5]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [6,5,1,4,2,8,3,7]=>[6,5,1,4,2,8,3,7]=>[7,3,8,2,4,1,5,6]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [4,6,1,5,2,8,3,7]=>[6,1,4,5,2,8,3,7]=>[7,3,8,2,5,4,1,6]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [5,4,1,8,3,7,2,6]=>[1,5,8,4,7,3,2,6]=>[6,2,3,7,4,8,5,1]=>[[1,3,4,6],[2,5,7],[8]]=>14 [5,2,1,8,4,7,3,6]=>[5,8,2,7,1,4,3,6]=>[6,3,4,1,7,2,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>12 [1,8,7,3,4,5,2,6]=>[1,3,8,4,7,5,2,6]=>[6,2,5,7,4,8,3,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>14 [1,3,7,8,4,5,6,2]=>[3,7,4,8,5,6,1,2]=>[2,1,6,5,8,4,7,3]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [8,4,2,3,1,6,5,7]=>[2,4,3,6,1,5,8,7]=>[7,8,5,1,6,3,4,2]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [6,4,5,2,8,1,7,3]=>[4,2,6,5,8,1,7,3]=>[3,7,1,8,5,6,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>16 [4,6,2,3,1,8,7,5]=>[2,6,4,8,3,7,1,5]=>[5,1,7,3,8,4,6,2]=>[[1,3,5,7],[2,4,6],[8]]=>12 [6,4,2,8,5,3,7,1]=>[4,2,6,8,5,3,7,1]=>[1,7,3,5,8,6,2,4]=>[[1,2,4,5],[3,6],[7,8]]=>17 [4,2,6,1,5,8,3,7]=>[2,4,6,8,1,5,3,7]=>[7,3,5,1,8,6,4,2]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [6,4,2,3,5,8,1,7]=>[2,4,3,6,8,5,1,7]=>[7,1,5,8,6,3,4,2]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [6,4,2,3,1,8,5,7]=>[2,4,3,6,1,8,5,7]=>[7,5,8,1,6,3,4,2]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [2,8,6,4,5,1,7,3]=>[4,6,5,2,8,7,1,3]=>[3,1,7,8,2,5,6,4]=>[[1,3,4,7],[2,5,6],[8]]=>16 [6,4,2,1,8,3,7,5]=>[2,1,4,6,8,3,7,5]=>[5,7,3,8,6,4,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [6,4,8,2,5,7,3,1]=>[4,6,2,8,5,7,3,1]=>[1,3,7,5,8,2,6,4]=>[[1,2,3,5],[4,7],[6,8]]=>19 [8,2,4,6,7,1,5,3]=>[6,2,4,8,7,1,5,3]=>[3,5,1,7,8,4,2,6]=>[[1,2,4,5],[3,6,8],[7]]=>17 [2,6,3,1,7,4,8,5]=>[2,3,6,1,7,8,4,5]=>[5,4,8,7,1,6,3,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>9 [4,3,2,6,1,8,7,5]=>[4,3,6,8,2,7,1,5]=>[5,1,7,2,8,6,3,4]=>[[1,3,5,8],[2,4,6],[7]]=>11 [1,3,7,4,5,2,8,6]=>[3,4,7,5,8,1,2,6]=>[6,2,1,8,5,7,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [3,6,1,2,5,8,7,4]=>[1,3,6,8,5,7,2,4]=>[4,2,7,5,8,6,3,1]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [8,1,7,5,4,6,3,2]=>[5,4,8,7,6,1,3,2]=>[2,3,1,6,7,8,4,5]=>[[1,2,4,5,6],[3,7,8]]=>20 [1,4,3,7,2,8,6,5]=>[7,4,8,3,6,1,2,5]=>[5,2,1,6,3,8,4,7]=>[[1,4,6,8],[2,5,7],[3]]=>9 [1,8,7,4,5,3,2,6]=>[1,8,7,4,5,3,2,6]=>[6,2,3,5,4,7,8,1]=>[[1,3,4,6,7],[2],[5],[8]]=>16 [3,2,6,7,8,4,5,1]=>[6,7,8,3,2,4,5,1]=>[1,5,4,2,3,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>14 [4,5,3,1,8,7,6,2]=>[4,8,1,5,7,3,6,2]=>[2,6,3,7,5,1,8,4]=>[[1,2,4,7],[3,5],[6,8]]=>14 [6,3,4,2,7,8,5,1]=>[3,4,2,6,7,8,5,1]=>[1,5,8,7,6,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [1,4,3,8,5,2,7,6]=>[4,3,8,5,7,1,2,6]=>[6,2,1,7,5,8,3,4]=>[[1,4,6],[2,5,8],[3,7]]=>9 [8,7,4,5,1,6,3,2]=>[1,4,5,8,7,6,3,2]=>[2,3,6,7,8,5,4,1]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [6,2,7,8,1,3,5,4]=>[6,2,1,7,8,3,5,4]=>[4,5,3,8,7,1,2,6]=>[[1,2,4],[3,5,8],[6,7]]=>15 [4,3,2,8,6,1,7,5]=>[8,4,3,6,2,7,1,5]=>[5,1,7,2,6,3,4,8]=>[[1,3,5,7,8],[2,4],[6]]=>13 [5,1,8,4,3,7,2,6]=>[8,5,1,4,7,3,2,6]=>[6,2,3,7,4,1,5,8]=>[[1,3,4,7,8],[2,5],[6]]=>14 [1,4,8,3,5,6,7,2]=>[4,3,5,8,6,7,1,2]=>[2,1,7,6,8,5,3,4]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [5,8,2,3,1,7,4,6]=>[2,3,5,1,8,7,4,6]=>[6,4,7,8,1,5,3,2]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [1,4,8,2,5,6,7,3]=>[4,1,8,5,6,7,2,3]=>[3,2,7,6,5,8,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [8,1,6,7,2,5,4,3]=>[1,8,6,7,5,2,4,3]=>[3,4,2,5,7,6,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>18 [7,5,2,3,6,8,4,1]=>[2,3,5,7,6,8,4,1]=>[1,4,8,6,7,5,3,2]=>[[1,2,3,5],[4],[6],[7],[8]]=>17 [2,5,8,3,6,1,4,7]=>[2,5,8,6,3,1,4,7]=>[7,4,1,3,6,8,5,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [8,1,4,6,5,3,2,7]=>[6,4,5,3,1,2,8,7]=>[7,8,2,1,3,5,4,6]=>[[1,2,6,8],[3,5],[4,7]]=>15 [8,1,5,2,3,4,7,6]=>[1,2,5,8,3,4,7,6]=>[6,7,4,3,8,5,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [8,1,3,2,6,4,5,7]=>[6,3,1,2,4,5,8,7]=>[7,8,5,4,2,1,3,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [8,1,2,7,6,5,4,3]=>[8,7,6,5,1,2,4,3]=>[3,4,2,1,5,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>17 [7,2,3,6,8,5,1,4]=>[7,6,8,2,3,1,5,4]=>[4,5,1,3,2,8,6,7]=>[[1,2,6,8],[3,4,7],[5]]=>16 [7,5,3,2,6,4,1,8]=>[3,2,5,7,6,4,1,8]=>[8,1,4,6,7,5,2,3]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [3,2,8,6,1,5,7,4]=>[8,3,2,6,5,7,1,4]=>[4,1,7,5,6,2,3,8]=>[[1,3,5,8],[2,4,7],[6]]=>13 [3,7,2,5,8,4,6,1]=>[3,7,8,2,5,4,6,1]=>[1,6,4,5,2,8,7,3]=>[[1,2,4,6],[3,7],[5,8]]=>15 [6,7,8,4,1,5,2,3]=>[1,6,7,4,2,8,5,3]=>[3,5,8,2,4,7,6,1]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [6,2,8,3,5,1,4,7]=>[2,3,6,1,8,5,4,7]=>[7,4,5,8,1,6,3,2]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [6,2,7,4,5,3,1,8]=>[6,2,7,4,5,3,1,8]=>[8,1,3,5,4,7,2,6]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [6,8,7,5,4,1,2,3]=>[1,8,6,2,7,5,4,3]=>[3,4,5,7,2,6,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>23 [7,4,5,6,1,8,2,3]=>[4,1,5,7,6,2,8,3]=>[3,8,2,6,7,5,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [7,2,4,5,6,1,8,3]=>[2,4,7,5,1,6,8,3]=>[3,8,6,1,5,7,4,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [2,7,3,5,8,1,4,6]=>[7,8,2,3,1,5,4,6]=>[6,4,5,1,3,2,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [7,8,6,1,2,5,4,3]=>[7,8,1,2,6,5,4,3]=>[3,4,5,6,2,1,8,7]=>[[1,2,3,4,7],[5,8],[6]]=>20 [6,1,8,7,4,5,2,3]=>[6,8,1,7,4,2,5,3]=>[3,5,2,4,7,1,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>18 [4,5,3,7,8,2,1,6]=>[4,5,7,8,3,2,1,6]=>[6,1,2,3,8,7,5,4]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [4,8,7,1,6,3,2,5]=>[1,4,8,7,6,3,2,5]=>[5,2,3,6,7,8,4,1]=>[[1,3,4,5,6],[2,7],[8]]=>18 [4,8,2,7,5,3,6,1]=>[4,8,2,7,5,3,6,1]=>[1,6,3,5,7,2,8,4]=>[[1,2,4,5,7],[3,8],[6]]=>18 [3,2,8,7,6,4,5,1]=>[8,7,6,3,2,4,5,1]=>[1,5,4,2,3,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>17 [3,1,2,7,5,6,4,8]=>[1,7,3,5,6,2,4,8]=>[8,4,2,6,5,3,7,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [1,3,8,2,5,4,6,7]=>[3,8,1,2,5,4,6,7]=>[7,6,4,5,2,1,8,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [1,6,2,5,8,7,3,4]=>[6,8,5,1,2,7,3,4]=>[4,3,7,2,1,5,8,6]=>[[1,3,7],[2,6,8],[4],[5]]=>11 [1,6,8,7,2,5,3,4]=>[6,1,8,2,7,5,3,4]=>[4,3,5,7,2,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [1,2,4,5,8,6,3,7]=>[4,8,5,6,1,2,3,7]=>[7,3,2,1,6,5,8,4]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [1,3,8,2,5,4,7,6]=>[1,3,8,5,7,2,4,6]=>[6,4,2,7,5,8,3,1]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [1,7,4,2,5,8,3,6]=>[1,2,7,8,4,5,3,6]=>[6,3,5,4,8,7,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [1,6,5,4,7,2,3,8]=>[6,5,4,1,7,2,3,8]=>[8,3,2,7,1,4,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [1,7,3,2,6,4,8,5]=>[7,3,1,2,6,8,4,5]=>[5,4,8,6,2,1,3,7]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [1,4,2,7,5,3,8,6]=>[4,7,1,5,8,2,3,6]=>[6,3,2,8,5,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [1,5,7,6,2,4,3,8]=>[5,7,1,6,4,2,3,8]=>[8,3,2,4,6,1,7,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [1,8,4,7,3,2,6,5]=>[8,1,7,4,3,6,2,5]=>[5,2,6,3,4,7,1,8]=>[[1,3,5,6,8],[2,4],[7]]=>14 [1,4,8,3,2,7,5,6]=>[4,8,7,1,3,2,5,6]=>[6,5,2,3,1,7,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [1,8,3,6,4,5,2,7]=>[1,8,3,6,4,5,2,7]=>[7,2,5,4,6,3,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [1,6,4,7,3,2,8,5]=>[6,7,4,1,3,8,2,5]=>[5,2,8,3,1,4,7,6]=>[[1,3,6,7],[2,4],[5,8]]=>11 [8,5,7,2,3,6,4,1]=>[2,5,8,3,7,6,4,1]=>[1,4,6,7,3,8,5,2]=>[[1,2,3,4,6],[5,7],[8]]=>21 [3,1,5,6,8,4,2,7]=>[8,5,6,1,3,4,2,7]=>[7,2,4,3,1,6,5,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [1,3,6,8,4,2,5,7]=>[3,8,6,4,1,2,5,7]=>[7,5,2,1,4,6,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [7,6,3,2,1,8,4,5]=>[3,2,7,1,6,4,8,5]=>[5,8,4,6,1,7,2,3]=>[[1,2,6],[3,4,8],[5,7]]=>16 [7,4,8,2,5,3,1,6]=>[4,7,2,5,3,1,8,6]=>[6,8,1,3,5,2,7,4]=>[[1,2,5,7],[3,4],[6,8]]=>18 [7,2,1,4,8,5,3,6]=>[7,2,4,5,1,3,8,6]=>[6,8,3,1,5,4,2,7]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [1,8,5,3,4,6,2,7]=>[1,8,3,5,4,6,2,7]=>[7,2,6,4,5,3,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [5,8,4,3,1,6,2,7]=>[1,5,4,3,8,6,2,7]=>[7,2,6,8,3,4,5,1]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [7,1,6,5,4,3,8,2]=>[7,6,5,4,1,3,8,2]=>[2,8,3,1,4,5,6,7]=>[[1,2,5,6,7,8],[3],[4]]=>17 [7,1,5,3,6,4,8,2]=>[1,5,7,6,3,4,8,2]=>[2,8,4,3,6,7,5,1]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [6,1,5,3,7,8,2,4]=>[3,6,5,7,1,2,8,4]=>[4,8,2,1,7,5,6,3]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [5,8,7,1,2,6,3,4]=>[5,1,2,8,7,3,6,4]=>[4,6,3,7,8,2,1,5]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [6,8,2,3,4,7,1,5]=>[2,3,6,8,4,1,7,5]=>[5,7,1,4,8,6,3,2]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [5,1,7,3,8,6,2,4]=>[5,7,8,3,1,2,6,4]=>[4,6,2,1,3,8,7,5]=>[[1,2,6],[3,5,7],[4,8]]=>14 [6,1,3,2,4,7,8,5]=>[3,1,2,4,6,7,8,5]=>[5,8,7,6,4,2,1,3]=>[[1,2],[3,8],[4],[5],[6],[7]]=>8 [6,2,1,3,4,7,8,5]=>[2,1,3,4,6,7,8,5]=>[5,8,7,6,4,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>8 [2,3,4,1,6,7,8,9,5]=>[2,3,4,6,7,8,9,1,5]=>[5,1,9,8,7,6,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>7 [2,3,4,5,6,1,8,9,10,7]=>[2,3,4,5,6,8,9,10,1,7]=>[7,1,10,9,8,6,5,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>8 [2,1,4,3,6,7,8,9,5]=>[2,4,6,7,8,9,1,3,5]=>[5,3,1,9,8,7,6,4,2]=>[[1,4],[2,5],[3,6],[7],[8],[9]]=>6 [2,3,1,5,6,7,8,9,4]=>[2,3,5,6,7,8,9,1,4]=>[4,1,9,8,7,6,5,3,2]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>7 [3,2,5,8,7,4,1,6]=>[8,7,3,5,2,4,1,6]=>[6,1,4,2,5,3,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>13 [4,2,5,8,7,3,1,6]=>[8,7,2,4,5,3,1,6]=>[6,1,3,5,4,2,7,8]=>[[1,3,4,7,8],[2],[5],[6]]=>14 [3,6,4,8,5,7,2,1]=>[6,3,8,4,5,7,2,1]=>[1,2,7,5,4,8,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [5,8,4,7,3,6,2,1]=>[5,8,7,4,3,6,2,1]=>[1,2,6,3,4,7,8,5]=>[[1,2,3,5,6,7],[4,8]]=>22 [4,2,8,7,3,1,6,5]=>[2,8,7,4,3,6,1,5]=>[5,1,6,3,4,7,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>15 [6,5,8,2,1,7,4,3]=>[2,1,6,8,5,7,4,3]=>[3,4,7,5,8,6,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>18 [6,1,4,3,8,7,2,5]=>[4,8,3,6,1,2,7,5]=>[5,7,2,1,6,3,8,4]=>[[1,2,7],[3,5,8],[4,6]]=>13 [5,1,3,2,6,8,7,4]=>[3,8,1,2,5,6,7,4]=>[4,7,6,5,2,1,8,3]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [6,1,3,8,7,2,4,5]=>[8,6,3,1,2,4,7,5]=>[5,7,4,2,1,3,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [1,2,8,4,5,7,3,6]=>[8,1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [4,2,1,8,7,6,3,5]=>[8,7,2,4,1,6,3,5]=>[5,3,6,1,4,2,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>13 [3,2,5,8,7,1,4,6]=>[8,7,3,5,2,1,4,6]=>[6,4,1,2,5,3,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>12 [5,6,3,8,7,2,1,4]=>[5,8,3,6,2,1,7,4]=>[4,7,1,2,6,3,8,5]=>[[1,2,5,7],[3,4,8],[6]]=>18 [3,1,6,5,8,7,2,4]=>[6,8,3,5,1,7,2,4]=>[4,2,7,1,5,3,8,6]=>[[1,3,7],[2,5,8],[4,6]]=>12 [4,8,5,3,6,7,1,2]=>[4,5,3,8,6,1,7,2]=>[2,7,1,6,8,3,5,4]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [7,5,2,1,4,3,6,8]=>[2,5,1,4,3,7,6,8]=>[8,6,7,3,4,1,5,2]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [3,1,7,6,4,2,5,8]=>[3,7,6,1,4,2,5,8]=>[8,5,2,4,1,6,7,3]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [2,3,7,5,6,1,4,8]=>[5,7,6,2,3,1,4,8]=>[8,4,1,3,2,6,7,5]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [6,1,7,3,4,5,2,8]=>[1,6,3,7,4,5,2,8]=>[8,2,5,4,7,3,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [8,1,7,3,5,4,6,2]=>[8,1,3,7,5,4,6,2]=>[2,6,4,5,7,3,1,8]=>[[1,2,4,5,8],[3],[6],[7]]=>17 [3,2,4,8,5,7,1,6]=>[3,8,7,2,4,5,1,6]=>[6,1,5,4,2,7,8,3]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [7,2,5,4,8,1,3,6]=>[5,4,7,2,1,3,8,6]=>[6,8,3,1,2,7,4,5]=>[[1,2,6,8],[3,5],[4,7]]=>15 [8,1,2,4,7,5,6,3]=>[1,8,2,7,4,5,6,3]=>[3,6,5,4,7,2,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>13 [2,7,8,5,6,4,1,3]=>[7,5,8,6,4,2,1,3]=>[3,1,2,4,6,8,5,7]=>[[1,3,4,5,6],[2,7,8]]=>19 [8,6,2,1,5,7,3,4]=>[6,2,5,1,3,8,7,4]=>[4,7,8,3,1,5,2,6]=>[[1,2,3],[4,6,8],[5,7]]=>17 [4,6,2,8,5,3,7,1]=>[6,4,8,2,5,3,7,1]=>[1,7,3,5,2,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>16 [5,6,2,4,8,3,1,7]=>[2,5,6,8,4,3,1,7]=>[7,1,3,4,8,6,5,2]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [2,7,3,4,5,8,6,1]=>[2,3,4,7,8,5,6,1]=>[1,6,5,8,7,4,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [4,1,5,2,8,6,3,7]=>[4,5,8,1,2,6,3,7]=>[7,3,6,2,1,8,5,4]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [6,8,3,4,2,5,7,1]=>[3,4,2,8,6,5,7,1]=>[1,7,5,6,8,2,4,3]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [5,6,1,2,4,3,7,8]=>[1,2,5,6,4,3,7,8]=>[8,7,3,4,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>9 [3,1,2,6,5,4,7,8]=>[6,1,3,5,2,4,7,8]=>[8,7,4,2,5,3,1,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [4,3,6,5,1,2,7,8]=>[4,6,3,1,5,2,7,8]=>[8,7,2,5,1,3,6,4]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [8,2,3,7,5,4,6,1]=>[8,2,5,3,4,7,6,1]=>[1,6,7,4,3,5,2,8]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [2,8,3,7,6,4,5,1]=>[2,8,7,3,6,4,5,1]=>[1,5,4,6,3,7,8,2]=>[[1,2,4,6,7],[3],[5],[8]]=>17 [1,3,8,7,6,5,2,4]=>[8,7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>15 [2,8,1,7,6,4,5,3]=>[2,8,7,4,6,5,1,3]=>[3,1,5,6,4,7,8,2]=>[[1,3,4,6,7],[2,5],[8]]=>16 [8,2,1,7,5,4,6,3]=>[2,8,7,5,1,4,6,3]=>[3,6,4,1,5,7,8,2]=>[[1,2,5,6,7],[3,8],[4]]=>16 [3,8,2,7,6,4,5,1]=>[8,7,3,2,6,4,5,1]=>[1,5,4,6,2,3,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>18 [1,8,7,2,6,3,5,4]=>[8,1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>15 [8,7,2,1,4,3,5,6]=>[2,4,1,3,5,8,7,6]=>[6,7,8,5,3,1,4,2]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [8,4,2,7,6,5,3,1]=>[8,7,2,4,6,5,3,1]=>[1,3,5,6,4,2,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>21 [7,6,3,1,4,5,2,8]=>[1,3,4,7,6,5,2,8]=>[8,2,5,6,7,4,3,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>15 [7,2,1,4,6,5,3,8]=>[2,7,6,1,4,5,3,8]=>[8,3,5,4,1,6,7,2]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [7,3,6,2,4,5,1,8]=>[3,2,7,4,6,5,1,8]=>[8,1,5,6,4,7,2,3]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [7,2,6,1,4,5,3,8]=>[7,2,1,6,4,5,3,8]=>[8,3,5,4,6,1,2,7]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [6,8,7,2,4,5,1,3]=>[6,2,8,4,1,7,5,3]=>[3,5,7,1,4,8,2,6]=>[[1,2,3,6],[4,5,8],[7]]=>21 [1,2,5,7,4,8,6,3]=>[7,5,8,4,6,1,2,3]=>[3,2,1,6,4,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>9 [4,6,5,3,2,8,1,7]=>[6,4,5,3,8,2,1,7]=>[7,1,2,8,3,5,4,6]=>[[1,3,4,6,8],[2,5],[7]]=>15 [2,8,3,4,1,5,6,7]=>[2,3,4,1,5,8,6,7]=>[7,6,8,5,1,4,3,2]=>[[1,3],[2,6],[4],[5],[7],[8]]=>9 [2,6,4,3,5,8,1,7]=>[6,2,4,8,3,5,1,7]=>[7,1,5,3,8,4,2,6]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [4,5,7,3,6,1,8,2]=>[7,4,5,3,1,6,8,2]=>[2,8,6,1,3,5,4,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [1,3,7,5,4,8,6,2]=>[7,3,5,8,4,6,1,2]=>[2,1,6,4,8,5,3,7]=>[[1,3,5,8],[2,4,6],[7]]=>11 [3,8,7,5,4,1,6,2]=>[8,3,1,7,5,4,6,2]=>[2,6,4,5,7,1,3,8]=>[[1,2,4,5,8],[3,7],[6]]=>19 [4,5,6,3,1,8,2,7]=>[4,5,6,3,1,8,2,7]=>[7,2,8,1,3,6,5,4]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [1,4,6,3,5,8,2,7]=>[6,4,8,3,5,1,2,7]=>[7,2,1,5,3,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>9 [6,2,4,3,1,8,5,7]=>[4,2,3,6,1,8,5,7]=>[7,5,8,1,6,3,2,4]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [5,8,7,1,4,3,6,2]=>[1,5,8,7,4,3,6,2]=>[2,6,3,4,7,8,5,1]=>[[1,2,4,5,6],[3,7],[8]]=>19 [5,7,3,8,4,2,6,1]=>[7,5,3,8,4,2,6,1]=>[1,6,2,4,8,3,5,7]=>[[1,2,4,5,8],[3,7],[6]]=>19 [5,3,6,2,8,4,1,7]=>[3,5,6,2,8,4,1,7]=>[7,1,4,8,2,6,5,3]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [3,2,6,5,4,8,1,7]=>[6,3,5,8,2,4,1,7]=>[7,1,4,2,8,5,3,6]=>[[1,3,5,8],[2,6],[4,7]]=>11 [2,6,5,4,8,3,1,7]=>[6,5,8,4,2,3,1,7]=>[7,1,3,2,4,8,5,6]=>[[1,3,5,6,8],[2,7],[4]]=>14 [2,3,6,5,4,8,1,7]=>[6,5,8,2,3,4,1,7]=>[7,1,4,3,2,8,5,6]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [3,7,5,4,8,2,6,1]=>[7,3,5,8,4,2,6,1]=>[1,6,2,4,8,5,3,7]=>[[1,2,4,5,8],[3,6],[7]]=>17 [2,8,7,6,1,3,5,4]=>[2,8,1,7,6,5,3,4]=>[4,3,5,6,7,1,8,2]=>[[1,3,4,5,7],[2,8],[6]]=>17 [6,3,8,7,1,4,5,2]=>[6,8,3,1,4,7,5,2]=>[2,5,7,4,1,3,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>18 [7,6,4,8,2,5,3,1]=>[4,2,7,6,8,5,3,1]=>[1,3,5,8,6,7,2,4]=>[[1,2,3,4,6],[5,8],[7]]=>22 [6,3,8,7,2,5,4,1]=>[8,6,3,7,2,5,4,1]=>[1,4,5,2,7,3,6,8]=>[[1,2,3,5,8],[4,6,7]]=>20 [2,8,7,6,1,5,3,4]=>[8,2,1,7,6,5,3,4]=>[4,3,5,6,7,1,2,8]=>[[1,3,4,5,8],[2,7],[6]]=>18 [7,6,4,8,1,3,2,5]=>[1,4,7,6,3,2,8,5]=>[5,8,2,3,6,7,4,1]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [6,3,8,7,1,2,4,5]=>[1,8,6,3,2,4,7,5]=>[5,7,4,2,3,6,8,1]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [1,2,3,4,6,5,7,8,9]=>[6,1,2,3,4,5,7,8,9]=>[9,8,7,5,4,3,2,1,6]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>1 [1,2,3,5,4,6,7,8,9]=>[5,1,2,3,4,6,7,8,9]=>[9,8,7,6,4,3,2,1,5]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>1 [4,8,1,6,7,5,2,3]=>[4,8,6,1,7,2,5,3]=>[3,5,2,7,1,6,8,4]=>[[1,2,4,7],[3,6],[5,8]]=>17 [6,8,4,1,7,5,2,3]=>[6,8,1,4,2,7,5,3]=>[3,5,7,2,4,1,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>19 [8,1,4,6,7,5,2,3]=>[6,8,7,1,4,2,5,3]=>[3,5,2,4,1,7,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>17 [2,6,8,1,4,7,5,3]=>[2,6,8,4,7,5,1,3]=>[3,1,5,7,4,8,6,2]=>[[1,3,4,6],[2,5,7],[8]]=>14 [6,4,8,1,2,7,5,3]=>[1,4,8,2,6,7,5,3]=>[3,5,7,6,2,8,4,1]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [8,4,1,6,7,2,5,3]=>[8,1,4,2,6,7,5,3]=>[3,5,7,6,2,4,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [8,1,4,6,7,2,5,3]=>[8,1,6,4,7,2,5,3]=>[3,5,2,7,4,6,1,8]=>[[1,2,4,8],[3,5,6],[7]]=>16 [8,2,6,1,7,4,5,3]=>[2,8,6,1,7,4,5,3]=>[3,5,4,7,1,6,8,2]=>[[1,2,4,7],[3,6],[5,8]]=>17 [6,2,8,1,4,7,5,3]=>[2,6,8,1,7,4,5,3]=>[3,5,4,7,1,8,6,2]=>[[1,2,4,6],[3,7],[5,8]]=>15 [4,2,8,1,6,7,5,3]=>[2,8,4,6,7,1,5,3]=>[3,5,1,7,6,4,8,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [8,1,2,6,4,7,5,3]=>[1,6,8,7,2,4,5,3]=>[3,5,4,2,7,8,6,1]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [8,4,1,6,2,7,5,3]=>[8,4,1,2,6,7,5,3]=>[3,5,7,6,2,1,4,8]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [4,8,6,1,2,7,5,3]=>[1,4,6,8,7,2,5,3]=>[3,5,2,7,8,6,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [4,8,1,2,6,7,5,3]=>[1,8,4,6,7,2,5,3]=>[3,5,2,7,6,4,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [8,6,2,1,7,4,5,3]=>[2,8,6,1,4,7,5,3]=>[3,5,7,4,1,6,8,2]=>[[1,2,3,7],[4,6],[5,8]]=>18 [8,1,6,2,4,7,5,3]=>[1,2,8,6,7,4,5,3]=>[3,5,4,7,6,8,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [8,6,1,2,4,7,5,3]=>[1,2,8,4,6,7,5,3]=>[3,5,7,6,4,8,2,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>16 [6,8,2,4,1,7,5,3]=>[6,2,8,1,4,7,5,3]=>[3,5,7,4,1,8,2,6]=>[[1,2,3,6],[4,7,8],[5]]=>17 [4,8,2,6,1,7,5,3]=>[4,2,8,6,7,1,5,3]=>[3,5,1,7,6,8,2,4]=>[[1,2,4,6],[3,5,8],[7]]=>16 [6,4,2,8,1,7,5,3]=>[2,4,8,1,6,7,5,3]=>[3,5,7,6,1,8,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [8,4,2,6,1,7,5,3]=>[8,2,4,1,6,7,5,3]=>[3,5,7,6,1,4,2,8]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [8,2,1,4,6,7,5,3]=>[2,6,8,7,1,4,5,3]=>[3,5,4,1,7,8,6,2]=>[[1,2,5,6],[3,7],[4,8]]=>14 [8,2,4,6,1,7,5,3]=>[2,4,6,8,7,1,5,3]=>[3,5,1,7,8,6,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [2,1,4,3,6,5,8,9,10,7]=>[2,4,6,8,9,10,1,3,5,7]=>[7,5,3,1,10,9,8,6,4,2]=>[[1,5],[2,6],[3,7],[4,8],[9],[10]]=>6 [2,1,4,3,6,7,8,9,10,5]=>[2,4,6,7,8,9,10,1,3,5]=>[5,3,1,10,9,8,7,6,4,2]=>[[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>7 [2,1,4,5,6,7,8,9,10,3]=>[2,4,5,6,7,8,9,10,1,3]=>[3,1,10,9,8,7,6,5,4,2]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>8 [2,3,4,1,6,7,8,9,10,5]=>[2,3,4,6,7,8,9,10,1,5]=>[5,1,10,9,8,7,6,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>8 [2,3,4,5,6,7,8,1,10,9]=>[2,3,4,5,6,7,8,10,1,9]=>[9,1,10,8,7,6,5,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>8 [5,4,7,6,3,1,2,8]=>[5,7,4,1,6,3,2,8]=>[8,2,3,6,1,4,7,5]=>[[1,3,4,7],[2,6,8],[5]]=>16 [8,7,1,4,2,3,5,6]=>[1,4,2,3,5,8,7,6]=>[6,7,8,5,3,2,4,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [3,8,6,4,1,5,2,7]=>[3,1,8,4,6,5,2,7]=>[7,2,5,6,4,8,1,3]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [8,2,6,5,7,1,3,4]=>[8,6,2,1,5,3,7,4]=>[4,7,3,5,1,2,6,8]=>[[1,2,7,8],[3,4],[5,6]]=>18 [4,6,1,3,2,8,7,5]=>[6,1,4,8,3,7,2,5]=>[5,2,7,3,8,4,1,6]=>[[1,3,5,8],[2,4,6],[7]]=>11 [5,4,6,7,1,3,8,2]=>[5,4,1,6,7,3,8,2]=>[2,8,3,7,6,1,4,5]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [7,1,4,8,2,3,6,5]=>[1,7,4,8,2,3,6,5]=>[5,6,3,2,8,4,7,1]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [4,5,3,6,7,1,8,2]=>[4,5,3,6,1,7,8,2]=>[2,8,7,1,6,3,5,4]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [2,6,3,5,1,7,4,8]=>[6,2,5,3,7,1,4,8]=>[8,4,1,7,3,5,2,6]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [6,1,2,5,4,8,7,3]=>[6,5,8,1,2,4,7,3]=>[3,7,4,2,1,8,5,6]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [6,1,5,3,2,7,4,8]=>[6,1,3,2,5,7,4,8]=>[8,4,7,5,2,3,1,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [6,4,7,2,1,8,5,3]=>[4,2,1,6,7,8,5,3]=>[3,5,8,7,6,1,2,4]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [8,6,3,5,4,7,1,2]=>[6,3,5,4,1,8,7,2]=>[2,7,8,1,4,5,3,6]=>[[1,2,3,8],[4,5,6],[7]]=>21 [2,5,3,7,1,8,6,4]=>[5,2,7,8,3,6,1,4]=>[4,1,6,3,8,7,2,5]=>[[1,3,5],[2,4,6],[7,8]]=>11 [1,4,6,2,5,3,8,7]=>[4,6,1,5,8,2,3,7]=>[7,3,2,8,5,1,6,4]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [6,2,8,7,1,3,5,4]=>[6,2,8,1,7,3,5,4]=>[4,5,3,7,1,8,2,6]=>[[1,2,4,6],[3,7,8],[5]]=>16 [1,3,4,5,6,7,8,2,10,9]=>[3,4,5,6,7,8,10,1,2,9]=>[9,2,1,10,8,7,6,5,4,3]=>[[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>7 [8,3,7,2,1,6,5,4]=>[3,8,2,7,6,1,5,4]=>[4,5,1,6,7,2,8,3]=>[[1,2,4,5,7],[3,6,8]]=>18 [8,4,7,3,6,2,1,5]=>[4,8,7,3,2,1,6,5]=>[5,6,1,2,3,7,8,4]=>[[1,2,5,6,7],[3,4,8]]=>21 [3,8,7,5,6,4,1,2]=>[5,8,7,6,3,1,4,2]=>[2,4,1,3,6,7,8,5]=>[[1,2,5,6,7],[3,4,8]]=>21 [3,8,7,5,6,2,4,1]=>[5,8,7,6,3,2,4,1]=>[1,4,2,3,6,7,8,5]=>[[1,2,4,5,6,7],[3,8]]=>21 [2,8,7,5,6,4,1,3]=>[5,8,7,6,4,2,1,3]=>[3,1,2,4,6,7,8,5]=>[[1,3,4,5,6,7],[2,8]]=>20 [4,3,2,5,6,7,8,9,1]=>[4,3,2,5,6,7,8,9,1]=>[1,9,8,7,6,5,2,3,4]=>[[1,2,8,9],[3],[4],[5],[6],[7]]=>11 [6,5,4,3,2,7,8,9,10,1]=>[6,5,4,3,2,7,8,9,10,1]=>[1,10,9,8,7,2,3,4,5,6]=>[[1,2,7,8,9,10],[3],[4],[5],[6]]=>19 [1,5,6,3,8,2,7,4]=>[8,1,5,6,3,7,2,4]=>[4,2,7,3,6,5,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [2,6,3,8,4,7,1,5]=>[6,8,2,3,7,4,1,5]=>[5,1,4,7,3,2,8,6]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [2,6,3,5,7,8,1,4]=>[6,2,5,7,8,3,1,4]=>[4,1,3,8,7,5,2,6]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [1,5,6,3,7,2,8,4]=>[1,5,6,7,3,8,2,4]=>[4,2,8,3,7,6,5,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [1,5,8,3,4,2,7,6]=>[3,5,4,8,7,1,2,6]=>[6,2,1,7,8,4,5,3]=>[[1,4,5],[2,6,7],[3,8]]=>11 [1,4,5,3,8,2,7,6]=>[8,4,5,3,7,1,2,6]=>[6,2,1,7,3,5,4,8]=>[[1,4,6,8],[2,5],[3,7]]=>9 [6,5,1,4,2,8,7,3]=>[1,6,2,5,8,4,7,3]=>[3,7,4,8,5,2,6,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [1,7,5,4,2,8,6,3]=>[1,5,4,7,8,6,2,3]=>[3,2,6,8,7,4,5,1]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [4,1,2,7,5,3,6,8]=>[4,7,1,2,5,3,6,8]=>[8,6,3,5,2,1,7,4]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [5,1,6,8,3,7,2,4]=>[5,6,8,3,1,2,7,4]=>[4,7,2,1,3,8,6,5]=>[[1,2,6],[3,5,7],[4,8]]=>14 [6,1,3,7,2,4,5,8]=>[6,3,1,2,4,7,5,8]=>[8,5,7,4,2,1,3,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [3,8,5,2,1,4,7,6]=>[3,2,1,8,5,7,4,6]=>[6,4,7,5,8,1,2,3]=>[[1,3,5],[2,4,8],[6,7]]=>13 [3,5,4,8,2,6,7,1]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[[1,2,5,7,8],[3],[4],[6]]=>14 [2,4,1,5,3,6,7,8,9]=>[4,2,5,1,3,6,7,8,9]=>[9,8,7,6,3,1,5,2,4]=>[[1,7,9],[2,8],[3],[4],[5],[6]]=>4 [3,6,1,8,2,5,4,7]=>[1,6,3,8,5,2,4,7]=>[7,4,2,5,8,3,6,1]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [5,8,3,2,1,7,4,6]=>[3,2,5,1,8,7,4,6]=>[6,4,7,8,1,5,2,3]=>[[1,3,4],[2,6,8],[5,7]]=>15 [3,8,1,2,6,5,4,7]=>[8,1,3,6,2,5,4,7]=>[7,4,5,2,6,3,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [7,5,1,8,3,4,2,6]=>[5,1,7,3,4,2,8,6]=>[6,8,2,4,3,7,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [5,2,8,1,7,4,3,6]=>[2,5,8,1,7,4,3,6]=>[6,3,4,7,1,8,5,2]=>[[1,3,4,6],[2,7],[5,8]]=>14 [5,4,7,1,2,3,8,6]=>[1,5,2,7,4,8,3,6]=>[6,3,8,4,7,2,5,1]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [1,4,8,2,6,7,3,5]=>[4,6,1,8,7,2,3,5]=>[5,3,2,7,8,1,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [3,6,1,8,2,7,4,5]=>[3,6,1,8,2,7,4,5]=>[5,4,7,2,8,1,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [2,6,7,3,4,1,8,5]=>[2,6,3,7,4,8,1,5]=>[5,1,8,4,7,3,6,2]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [1,6,5,7,8,2,4,3]=>[6,5,1,7,8,4,2,3]=>[3,2,4,8,7,1,5,6]=>[[1,3,4,8],[2,5],[6,7]]=>14 [1,5,6,7,2,8,4,3]=>[5,1,6,7,8,4,2,3]=>[3,2,4,8,7,6,1,5]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [3,6,1,2,8,7,5,4]=>[8,1,3,6,7,5,2,4]=>[4,2,5,7,6,3,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [1,3,7,2,6,4,8,5]=>[7,6,1,3,8,2,4,5]=>[5,4,2,8,3,1,6,7]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [2,6,8,1,4,7,3,5]=>[2,8,1,6,7,4,3,5]=>[5,3,4,7,6,1,8,2]=>[[1,3,4,7],[2,5],[6,8]]=>13 [1,5,8,6,7,3,4,2]=>[5,8,6,3,7,4,1,2]=>[2,1,4,7,3,6,8,5]=>[[1,3,4,7],[2,5,6],[8]]=>16 [1,5,7,6,2,8,3,4]=>[5,7,1,6,2,8,3,4]=>[4,3,8,2,6,1,7,5]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [1,2,5,8,6,7,4,3]=>[5,8,6,7,4,1,2,3]=>[3,2,1,4,7,6,8,5]=>[[1,4,5,7],[2,6],[3,8]]=>11 [1,2,6,5,7,3,8,4]=>[6,5,1,7,8,2,3,4]=>[4,3,2,8,7,1,5,6]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [7,3,8,6,4,2,1,5]=>[7,3,8,4,2,1,6,5]=>[5,6,1,2,4,8,3,7]=>[[1,2,5,6],[3,4,8],[7]]=>20 [3,6,5,8,1,2,7,4]=>[6,1,8,5,3,7,2,4]=>[4,2,7,3,5,8,1,6]=>[[1,3,5,6],[2,4,8],[7]]=>14 [5,3,6,8,1,2,7,4]=>[3,5,1,6,8,2,7,4]=>[4,7,2,8,6,1,5,3]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [4,6,5,8,3,2,7,1]=>[6,8,4,5,3,2,7,1]=>[1,7,2,3,5,4,8,6]=>[[1,2,4,5,7],[3,8],[6]]=>18 [4,5,6,8,2,3,7,1]=>[8,4,5,2,6,3,7,1]=>[1,7,3,6,2,5,4,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [2,5,8,7,1,6,4,3]=>[5,8,7,2,6,4,1,3]=>[3,1,4,6,2,7,8,5]=>[[1,3,4,6,7],[2,5,8]]=>16 [4,7,5,8,3,6,2,1]=>[4,7,8,5,3,6,2,1]=>[1,2,6,3,5,8,7,4]=>[[1,2,3,5,6],[4,7],[8]]=>20 [7,3,6,8,5,2,1,4]=>[7,6,8,3,2,1,5,4]=>[4,5,1,2,3,8,6,7]=>[[1,2,5,6,8],[3,4,7]]=>20 [8,3,6,7,5,2,4,1]=>[6,8,7,3,2,5,4,1]=>[1,4,5,2,3,7,8,6]=>[[1,2,3,6,7],[4,5,8]]=>22 [2,4,7,8,5,6,3,1]=>[7,4,8,5,6,2,3,1]=>[1,3,2,6,5,8,4,7]=>[[1,2,4,6],[3,5,8],[7]]=>16 [3,6,8,7,5,2,4,1]=>[8,6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>20 [7,8,4,6,5,3,1,2]=>[4,7,1,8,6,5,3,2]=>[2,3,5,6,8,1,7,4]=>[[1,2,3,4,5],[6,7],[8]]=>24 [6,8,4,7,5,1,3,2]=>[6,4,8,1,7,5,3,2]=>[2,3,5,7,1,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>22 [1,2,6,4,3,8,7,5]=>[6,8,1,4,7,2,3,5]=>[5,3,2,7,4,1,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [6,5,8,3,1,4,2,7]=>[1,6,3,8,5,4,2,7]=>[7,2,4,5,8,3,6,1]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [2,7,4,6,1,5,3,8]=>[7,4,2,6,5,1,3,8]=>[8,3,1,5,6,2,4,7]=>[[1,4,5,8],[2,6,7],[3]]=>12 [7,6,1,2,3,5,4,8]=>[7,1,2,3,6,5,4,8]=>[8,4,5,6,3,2,1,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>12 [1,8,5,7,2,3,6,4]=>[1,5,8,2,7,6,3,4]=>[4,3,6,7,2,8,5,1]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [2,3,6,8,1,7,5,4]=>[6,8,2,7,3,5,1,4]=>[4,1,5,3,7,2,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>12 [6,1,3,8,4,2,5,7]=>[3,6,4,1,2,8,5,7]=>[7,5,8,2,1,4,6,3]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [2,8,7,5,1,6,3,4]=>[2,5,1,8,7,6,3,4]=>[4,3,6,7,8,1,5,2]=>[[1,3,4,5],[2,7],[6,8]]=>17 [5,8,1,7,2,3,4,6]=>[1,2,5,3,8,7,4,6]=>[6,4,7,8,3,5,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [8,7,6,4,2,1,5,3]=>[2,1,4,8,7,6,5,3]=>[3,5,6,7,8,4,1,2]=>[[1,2,3,4,5],[6,8],[7]]=>23 [5,8,7,2,3,1,6,4]=>[2,5,3,8,7,1,6,4]=>[4,6,1,7,8,3,5,2]=>[[1,2,4,5],[3,6,7],[8]]=>18 [3,5,8,1,4,7,2,6]=>[3,5,8,7,1,4,2,6]=>[6,2,4,1,7,8,5,3]=>[[1,3,5,6],[2,7],[4,8]]=>13 [3,8,7,5,2,6,4,1]=>[5,3,8,7,6,2,4,1]=>[1,4,2,6,7,8,3,5]=>[[1,2,4,5,6],[3,7,8]]=>20 [4,6,3,1,8,7,2,5]=>[6,4,8,3,1,7,2,5]=>[5,2,7,1,3,8,4,6]=>[[1,3,6,8],[2,5,7],[4]]=>14 [8,3,6,7,1,5,2,4]=>[6,3,1,8,7,2,5,4]=>[4,5,2,7,8,1,3,6]=>[[1,2,4,5],[3,7,8],[6]]=>19 [3,8,7,5,1,2,6,4]=>[1,5,3,8,7,6,2,4]=>[4,2,6,7,8,3,5,1]=>[[1,3,4,5],[2,6,7],[8]]=>17 [8,1,3,5,6,2,4,7]=>[5,6,3,1,2,4,8,7]=>[7,8,4,2,1,3,6,5]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [5,8,3,7,1,4,6,2]=>[3,5,1,8,7,4,6,2]=>[2,6,4,7,8,1,5,3]=>[[1,2,4,5],[3,7],[6,8]]=>18 [3,8,7,4,2,6,5,1]=>[3,4,8,7,6,2,5,1]=>[1,5,2,6,7,8,4,3]=>[[1,2,4,5,6],[3,7],[8]]=>19 [5,8,3,2,4,7,6,1]=>[3,2,5,8,7,4,6,1]=>[1,6,4,7,8,5,2,3]=>[[1,2,4,5],[3,6],[7,8]]=>17 [5,8,2,1,3,4,7,6]=>[2,1,3,5,8,7,4,6]=>[6,4,7,8,5,3,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [1,3,4,7,2,6,5,8]=>[3,7,4,6,1,2,5,8]=>[8,5,2,1,6,4,7,3]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [5,3,8,2,4,6,1,7]=>[3,2,8,5,4,6,1,7]=>[7,1,6,4,5,8,2,3]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [4,5,8,3,2,6,1,7]=>[4,8,5,3,2,6,1,7]=>[7,1,6,2,3,5,8,4]=>[[1,3,5,6,7],[2],[4],[8]]=>15 [1,5,3,7,2,8,6,4]=>[7,5,8,1,3,6,2,4]=>[4,2,6,3,1,8,5,7]=>[[1,3,6,8],[2,4,7],[5]]=>10 [3,4,7,1,2,8,6,5]=>[3,1,7,8,4,6,2,5]=>[5,2,6,4,8,7,1,3]=>[[1,3,5],[2,4,6],[7,8]]=>11 [4,1,5,8,3,6,2,7]=>[4,8,5,1,3,6,2,7]=>[7,2,6,3,1,5,8,4]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [3,2,7,1,8,5,4,6]=>[3,7,2,8,5,1,4,6]=>[6,4,1,5,8,2,7,3]=>[[1,4,5],[2,6,7],[3,8]]=>11 [4,7,8,5,2,3,1,6]=>[7,4,2,8,5,3,1,6]=>[6,1,3,5,8,2,4,7]=>[[1,3,4,5],[2,7,8],[6]]=>18 [6,2,7,8,1,5,3,4]=>[6,2,7,1,8,3,5,4]=>[4,5,3,8,1,7,2,6]=>[[1,2,4],[3,6,8],[5,7]]=>16 [2,6,7,8,4,1,3,5]=>[6,2,7,1,8,4,3,5]=>[5,3,4,8,1,7,2,6]=>[[1,3,4],[2,6,8],[5,7]]=>15 [2,6,7,8,4,3,1,5]=>[6,2,7,8,4,3,1,5]=>[5,1,3,4,8,7,2,6]=>[[1,3,4,5],[2,6],[7,8]]=>16 [7,1,2,6,3,8,4,5]=>[7,1,6,2,3,4,8,5]=>[5,8,4,3,2,6,1,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [8,1,4,6,7,2,3,5]=>[4,1,8,6,2,3,7,5]=>[5,7,3,2,6,8,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [8,3,5,6,1,2,7,4]=>[3,1,5,2,8,6,7,4]=>[4,7,6,8,2,5,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [8,5,1,7,2,6,3,4]=>[5,1,8,2,3,7,6,4]=>[4,6,7,3,2,8,1,5]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [8,5,4,6,1,2,7,3]=>[1,5,4,2,6,8,7,3]=>[3,7,8,6,2,4,5,1]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [7,4,1,8,2,5,3,6]=>[4,7,1,2,5,3,8,6]=>[6,8,3,5,2,1,7,4]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [6,4,1,7,2,8,3,5]=>[4,1,2,6,7,3,8,5]=>[5,8,3,7,6,2,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>13 [6,8,1,2,3,5,7,4]=>[6,1,2,3,8,5,7,4]=>[4,7,5,8,3,2,1,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [7,3,4,1,2,8,6,5]=>[3,1,4,7,8,2,6,5]=>[5,6,2,8,7,4,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [7,3,8,1,2,5,6,4]=>[1,3,7,2,8,5,6,4]=>[4,6,5,8,2,7,3,1]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [8,1,2,5,7,6,3,4]=>[8,7,1,5,2,3,6,4]=>[4,6,3,2,5,1,7,8]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [7,4,8,3,1,2,6,5]=>[1,7,4,3,8,2,6,5]=>[5,6,2,8,3,4,7,1]=>[[1,2,4,7],[3,5,6],[8]]=>17 [7,2,6,8,4,1,3,5]=>[7,6,4,2,1,3,8,5]=>[5,8,3,1,2,4,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>17 [8,1,7,3,4,2,5,6]=>[3,4,1,2,8,5,7,6]=>[6,7,5,8,2,1,4,3]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [7,5,1,6,4,8,2,3]=>[5,7,6,1,4,2,8,3]=>[3,8,2,4,1,6,7,5]=>[[1,2,6,7],[3,4],[5,8]]=>17 [1,4,2,5,7,6,8,3]=>[7,1,4,5,6,8,2,3]=>[3,2,8,6,5,4,1,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [1,3,4,6,8,5,2,7]=>[8,6,3,4,5,1,2,7]=>[7,2,1,5,4,3,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [1,4,6,8,5,2,7,3]=>[8,6,4,1,5,7,2,3]=>[3,2,7,5,1,4,6,8]=>[[1,3,7,8],[2,4],[5,6]]=>12 [1,7,4,3,2,5,6,8]=>[4,3,1,2,7,5,6,8]=>[8,6,5,7,2,1,3,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [1,7,4,3,6,2,5,8]=>[4,7,6,1,3,2,5,8]=>[8,5,2,3,1,6,7,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [5,2,1,6,3,4,8,7]=>[2,5,1,3,6,8,4,7]=>[7,4,8,6,3,1,5,2]=>[[1,3],[2,4],[5,7],[6,8]]=>8 [5,1,3,4,6,2,8,7]=>[1,5,3,4,6,8,2,7]=>[7,2,8,6,4,3,5,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [3,5,6,8,4,7,1,2]=>[8,5,6,3,4,1,7,2]=>[2,7,1,4,3,6,5,8]=>[[1,2,6,8],[3,4,7],[5]]=>16 [4,5,2,1,8,7,3,6]=>[4,8,2,5,1,7,3,6]=>[6,3,7,1,5,2,8,4]=>[[1,3,7],[2,5,8],[4,6]]=>12 [4,7,3,8,2,6,5,1]=>[4,7,3,8,6,2,5,1]=>[1,5,2,6,8,3,7,4]=>[[1,2,4,5],[3,6,7],[8]]=>18 [6,2,1,3,7,4,8,5]=>[2,6,1,3,4,7,8,5]=>[5,8,7,4,3,1,6,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>9 [6,3,7,1,2,5,8,4]=>[1,6,3,7,2,5,8,4]=>[4,8,5,2,7,3,6,1]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [5,1,4,7,8,2,6,3]=>[5,7,4,8,1,2,6,3]=>[3,6,2,1,8,4,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>13 [7,2,5,8,1,3,6,4]=>[7,2,1,5,8,3,6,4]=>[4,6,3,8,5,1,2,7]=>[[1,2,4],[3,5,8],[6,7]]=>15 [3,8,7,5,2,1,6,4]=>[5,3,2,8,7,6,1,4]=>[4,1,6,7,8,2,3,5]=>[[1,3,4,5],[2,6,7,8]]=>18 [3,8,5,6,2,7,4,1]=>[5,6,3,8,7,2,4,1]=>[1,4,2,7,8,3,6,5]=>[[1,2,4,5],[3,6,7],[8]]=>18 [3,6,5,8,4,2,7,1]=>[6,8,5,3,4,2,7,1]=>[1,7,2,4,3,5,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>17 [6,8,3,2,5,7,4,1]=>[3,6,2,8,5,7,4,1]=>[1,4,7,5,8,2,6,3]=>[[1,2,3,5],[4,7],[6,8]]=>19 [8,4,2,3,6,7,5,1]=>[4,2,8,3,6,7,5,1]=>[1,5,7,6,3,8,2,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [6,1,2,4,5,7,8,3]=>[1,6,2,4,5,7,8,3]=>[3,8,7,5,4,2,6,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>9 [3,5,4,8,6,2,7,1]=>[8,5,3,4,6,2,7,1]=>[1,7,2,6,4,3,5,8]=>[[1,2,4,7,8],[3],[5],[6]]=>15 [3,6,2,4,5,8,7,1]=>[3,2,6,8,4,5,7,1]=>[1,7,5,4,8,6,2,3]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [5,1,2,8,6,7,4,3]=>[5,8,6,7,1,2,4,3]=>[3,4,2,1,7,6,8,5]=>[[1,2,5,7],[3,6],[4,8]]=>13 [3,8,7,4,2,5,6,1]=>[3,4,2,8,7,5,6,1]=>[1,6,5,7,8,2,4,3]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [8,1,5,3,4,6,7,2]=>[1,5,3,4,8,6,7,2]=>[2,7,6,8,4,3,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [8,1,5,3,6,4,7,2]=>[1,3,8,5,6,4,7,2]=>[2,7,4,6,5,8,3,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>15 [4,5,1,3,7,8,6,2]=>[1,4,5,7,8,3,6,2]=>[2,6,3,8,7,5,4,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [2,6,4,8,3,1,5,7]=>[2,6,8,4,3,1,5,7]=>[7,5,1,3,4,8,6,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [7,2,3,8,1,4,5,6]=>[2,7,3,1,4,5,8,6]=>[6,8,5,4,1,3,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [3,5,1,4,6,2,7,8]=>[3,5,1,4,6,2,7,8]=>[8,7,2,6,4,1,5,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [7,6,5,2,4,3,8,1]=>[7,2,6,5,4,3,8,1]=>[1,8,3,4,5,6,2,7]=>[[1,2,4,5,6,8],[3],[7]]=>20 [8,1,5,6,3,7,2,4]=>[8,1,5,3,6,2,7,4]=>[4,7,2,6,3,5,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [8,1,5,6,3,7,4,2]=>[5,1,6,8,7,3,4,2]=>[2,4,3,7,8,6,1,5]=>[[1,2,4,5],[3,6],[7,8]]=>17 [3,6,4,5,2,7,8,1]=>[3,6,4,5,2,7,8,1]=>[1,8,7,2,5,4,6,3]=>[[1,2,5,7],[3],[4],[6],[8]]=>13 [3,5,1,4,6,8,7,2]=>[3,5,8,1,4,6,7,2]=>[2,7,6,4,1,8,5,3]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [7,6,5,3,4,1,8,2]=>[3,1,7,6,5,4,8,2]=>[2,8,4,5,6,7,1,3]=>[[1,2,4,5,6],[3,8],[7]]=>20 [7,6,5,2,8,3,1,4]=>[7,2,6,5,3,1,8,4]=>[4,8,1,3,5,6,2,7]=>[[1,2,5,6,8],[3,4],[7]]=>20 [3,6,4,1,5,7,2,8]=>[3,1,6,4,5,7,2,8]=>[8,2,7,5,4,6,1,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [2,5,1,4,6,7,8,3]=>[2,5,4,6,7,8,1,3]=>[3,1,8,7,6,4,5,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [2,5,1,4,6,7,3,8]=>[2,5,4,6,7,1,3,8]=>[8,3,1,7,6,4,5,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [3,6,4,1,5,7,8,2]=>[3,1,6,4,5,7,8,2]=>[2,8,7,5,4,6,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [3,1,6,5,2,8,7,4]=>[6,3,8,1,5,7,2,4]=>[4,2,7,5,1,8,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>10 [1,7,2,4,3,5,8,6]=>[4,1,2,3,7,8,5,6]=>[6,5,8,7,3,2,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [2,7,3,4,5,1,8,6]=>[2,3,4,7,5,8,1,6]=>[6,1,8,5,7,4,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [5,2,7,4,8,3,6,1]=>[2,5,7,8,4,3,6,1]=>[1,6,3,4,8,7,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [8,1,7,4,3,5,6,2]=>[4,1,3,8,7,5,6,2]=>[2,6,5,7,8,3,1,4]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [4,8,5,3,6,1,7,2]=>[4,5,3,1,8,6,7,2]=>[2,7,6,8,1,3,5,4]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [2,8,3,1,4,7,5,6]=>[8,2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [8,6,3,2,7,4,1,5]=>[3,6,2,4,1,8,7,5]=>[5,7,8,1,4,2,6,3]=>[[1,2,3],[4,5,7],[6,8]]=>19 [1,4,2,3,8,6,7,5]=>[1,8,4,6,7,2,3,5]=>[5,3,2,7,6,4,8,1]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [6,1,3,4,7,8,5,2]=>[1,3,6,7,8,4,5,2]=>[2,5,4,8,7,6,3,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [6,3,1,8,2,5,7,4]=>[3,6,1,8,2,5,7,4]=>[4,7,5,2,8,1,6,3]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [3,6,1,8,4,5,7,2]=>[8,6,3,1,4,5,7,2]=>[2,7,5,4,1,3,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [2,4,8,7,3,6,1,5]=>[4,8,7,6,2,3,1,5]=>[5,1,3,2,6,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>15 [1,6,8,4,5,3,7,2]=>[4,8,6,5,3,7,1,2]=>[2,1,7,3,5,6,8,4]=>[[1,3,5,6,7],[2,4],[8]]=>15 [1,2,8,3,5,6,4,7]=>[1,8,2,5,6,3,4,7]=>[7,4,3,6,5,2,8,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [3,5,7,4,8,1,6,2]=>[7,5,3,4,8,1,6,2]=>[2,6,1,8,4,3,5,7]=>[[1,2,4,8],[3,5,7],[6]]=>15 [2,8,1,3,5,4,6,7]=>[2,5,1,3,4,8,6,7]=>[7,6,8,4,3,1,5,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>8 [4,7,8,5,2,1,3,6]=>[7,4,2,1,8,5,3,6]=>[6,3,5,8,1,2,4,7]=>[[1,3,4,8],[2,6,7],[5]]=>17 [6,1,5,2,8,7,3,4]=>[6,8,1,5,2,3,7,4]=>[4,7,3,2,5,1,8,6]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [3,1,8,5,4,7,2,6]=>[3,8,5,7,1,4,2,6]=>[6,2,4,1,7,5,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>12 [3,1,6,4,8,5,2,7]=>[6,1,8,3,4,5,2,7]=>[7,2,5,4,3,8,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [3,2,6,4,1,5,7,8]=>[6,3,2,4,1,5,7,8]=>[8,7,5,1,4,2,3,6]=>[[1,5,7,8],[2],[3],[4],[6]]=>7 [4,2,5,1,8,7,3,6]=>[8,2,4,5,1,7,3,6]=>[6,3,7,1,5,4,2,8]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [6,8,2,7,1,4,3,5]=>[2,1,6,8,4,3,7,5]=>[5,7,3,4,8,6,1,2]=>[[1,2,5],[3,4,6],[7,8]]=>17 [1,8,4,7,3,2,5,6]=>[8,4,1,3,2,7,5,6]=>[6,5,7,2,3,1,4,8]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [5,8,3,1,4,7,6,2]=>[1,3,5,8,7,4,6,2]=>[2,6,4,7,8,5,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [1,2,5,4,7,8,3,6]=>[5,7,8,4,1,2,3,6]=>[6,3,2,1,4,8,7,5]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [1,8,3,2,6,4,7,5]=>[8,1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1,8]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [4,7,1,2,5,3,6,8]=>[1,2,4,7,5,3,6,8]=>[8,6,3,5,7,4,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>9 [3,2,6,1,7,8,5,4]=>[6,3,7,8,2,5,1,4]=>[4,1,5,2,8,7,3,6]=>[[1,3,5,8],[2,4,6],[7]]=>11 [6,5,7,3,2,8,4,1]=>[6,5,3,2,7,8,4,1]=>[1,4,8,7,2,3,5,6]=>[[1,2,3,7,8],[4,6],[5]]=>19 [6,4,1,2,7,5,3,8]=>[1,2,4,6,7,5,3,8]=>[8,3,5,7,6,4,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>11 [7,4,3,5,2,8,6,1]=>[4,3,5,2,7,8,6,1]=>[1,6,8,7,2,5,3,4]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [5,2,8,3,6,4,7,1]=>[2,5,8,3,6,4,7,1]=>[1,7,4,6,3,8,5,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [5,4,6,1,2,7,3,8]=>[1,5,4,2,6,7,3,8]=>[8,3,7,6,2,4,5,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [8,5,1,7,2,3,6,4]=>[1,5,8,2,3,7,6,4]=>[4,6,7,3,2,8,5,1]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [5,2,1,6,4,7,8,3]=>[2,5,6,1,4,7,8,3]=>[3,8,7,4,1,6,5,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [1,6,2,3,5,7,8,4]=>[6,1,2,5,7,8,3,4]=>[4,3,8,7,5,2,1,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [7,2,5,1,3,4,8,6]=>[2,1,5,3,4,7,8,6]=>[6,8,7,4,3,5,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>11 [1,3,4,8,5,2,6,7]=>[3,4,8,5,1,2,6,7]=>[7,6,2,1,5,8,4,3]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [8,2,4,6,1,7,3,5]=>[4,2,8,6,1,3,7,5]=>[5,7,3,1,6,8,2,4]=>[[1,2,6],[3,5,8],[4,7]]=>15 [6,2,7,5,1,3,4,8]=>[6,2,1,7,3,5,4,8]=>[8,4,5,3,7,1,2,6]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [6,5,7,1,2,3,8,4]=>[1,2,6,5,3,7,8,4]=>[4,8,7,3,5,6,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [7,2,3,5,8,6,1,4]=>[2,7,8,3,5,1,6,4]=>[4,6,1,5,3,8,7,2]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [4,2,7,1,5,3,6,8]=>[4,2,7,1,5,3,6,8]=>[8,6,3,5,1,7,2,4]=>[[1,4,6],[2,7,8],[3],[5]]=>9 [3,2,5,7,8,4,1,6]=>[7,8,3,5,2,4,1,6]=>[6,1,4,2,5,3,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>12 [3,4,7,8,2,5,1,6]=>[7,3,8,4,2,5,1,6]=>[6,1,5,2,4,8,3,7]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [4,2,5,3,7,8,1,6]=>[2,4,5,7,8,3,1,6]=>[6,1,3,8,7,5,4,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [4,3,5,1,6,2,7,8]=>[4,3,1,5,6,2,7,8]=>[8,7,2,6,5,1,3,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [8,6,3,5,4,1,2,7]=>[6,3,1,5,4,2,8,7]=>[7,8,2,4,5,1,3,6]=>[[1,2,5,8],[3,4],[6,7]]=>19 [8,5,1,7,4,6,2,3]=>[8,5,4,1,2,7,6,3]=>[3,6,7,2,1,4,5,8]=>[[1,2,3,8],[4,6,7],[5]]=>19 [4,8,1,7,6,3,5,2]=>[8,7,4,1,6,3,5,2]=>[2,5,3,6,1,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>18 [8,5,1,7,4,3,6,2]=>[8,5,4,1,3,7,6,2]=>[2,6,7,3,1,4,5,8]=>[[1,2,3,7,8],[4,6],[5]]=>19 [8,5,7,6,2,1,3,4]=>[2,1,8,5,3,7,6,4]=>[4,6,7,3,5,8,1,2]=>[[1,2,3,6],[4,5],[7,8]]=>21 [5,4,8,3,1,7,2,6]=>[8,5,4,3,1,7,2,6]=>[6,2,7,1,3,4,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>16 [5,1,4,8,3,2,7,6]=>[8,5,4,1,3,7,2,6]=>[6,2,7,3,1,4,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>12 [4,8,1,7,6,5,2,3]=>[8,7,4,1,6,2,5,3]=>[3,5,2,6,1,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>18 [4,3,8,7,2,6,1,5]=>[8,7,4,3,6,2,1,5]=>[5,1,2,6,3,4,7,8]=>[[1,3,4,6,7,8],[2,5]]=>17 [3,8,7,2,6,4,1,5]=>[8,3,2,7,6,4,1,5]=>[5,1,4,6,7,2,3,8]=>[[1,3,4,5,8],[2,7],[6]]=>18 [8,2,5,7,4,3,6,1]=>[8,5,4,2,3,7,6,1]=>[1,6,7,3,2,4,5,8]=>[[1,2,3,7,8],[4,6],[5]]=>19 [3,8,7,4,6,1,2,5]=>[8,3,1,7,6,4,2,5]=>[5,2,4,6,7,1,3,8]=>[[1,3,4,5,8],[2,7],[6]]=>18 [2,8,4,7,6,1,5,3]=>[8,7,4,2,6,5,1,3]=>[3,1,5,6,2,4,7,8]=>[[1,3,4,7,8],[2,5,6]]=>17 [2,5,4,8,3,1,7,6]=>[8,5,4,2,3,7,1,6]=>[6,1,7,3,2,4,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>12 [5,4,8,2,1,3,7,6]=>[2,1,8,5,4,7,3,6]=>[6,3,7,4,5,8,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>14 [3,8,7,2,6,1,5,4]=>[8,3,2,7,6,5,1,4]=>[4,1,5,6,7,2,3,8]=>[[1,3,4,5,8],[2,6,7]]=>18 [1,8,4,7,6,3,5,2]=>[8,7,4,3,6,5,1,2]=>[2,1,5,6,3,4,7,8]=>[[1,3,4,7,8],[2,5,6]]=>17 [1,4,3,8,7,2,6,5]=>[8,7,4,3,6,1,2,5]=>[5,2,1,6,3,4,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>11 [7,1,5,4,6,2,3,8]=>[7,5,1,4,2,6,3,8]=>[8,3,6,2,4,1,5,7]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [7,8,1,5,2,3,6,4]=>[1,2,7,3,5,8,6,4]=>[4,6,8,5,3,7,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [7,4,1,3,6,2,5,8]=>[4,7,1,3,2,6,5,8]=>[8,5,6,2,3,1,7,4]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [5,4,3,1,7,6,2,8]=>[1,5,4,7,3,6,2,8]=>[8,2,6,3,7,4,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [4,2,7,8,5,1,6,3]=>[7,2,8,4,1,5,6,3]=>[3,6,5,1,4,8,2,7]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [3,8,6,1,7,4,2,5]=>[3,1,6,8,7,4,2,5]=>[5,2,4,7,8,6,1,3]=>[[1,3,4,5],[2,6],[7,8]]=>16 [2,6,8,3,1,7,4,5]=>[2,6,8,3,1,7,4,5]=>[5,4,7,1,3,8,6,2]=>[[1,3,6],[2,5,7],[4],[8]]=>13 [2,5,4,8,1,7,3,6]=>[8,5,4,7,2,1,3,6]=>[6,3,1,2,7,4,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>12 [7,5,2,4,8,3,6,1]=>[5,2,4,7,3,8,6,1]=>[1,6,8,3,7,4,2,5]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [7,8,2,6,3,5,4,1]=>[2,7,8,3,6,5,4,1]=>[1,4,5,6,3,8,7,2]=>[[1,2,3,4,6],[5,7],[8]]=>21 [7,2,6,5,8,3,4,1]=>[7,6,5,2,3,8,4,1]=>[1,4,8,3,2,5,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>19 [5,6,3,1,4,2,7,8]=>[1,5,3,6,4,2,7,8]=>[8,7,2,4,6,3,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [3,1,5,4,2,6,7,8]=>[5,1,3,4,2,6,7,8]=>[8,7,6,2,4,3,1,5]=>[[1,5,8],[2],[3],[4],[6],[7]]=>5 [5,2,3,6,7,4,1,8]=>[2,3,5,6,7,4,1,8]=>[8,1,4,7,6,5,3,2]=>[[1,3,4],[2],[5],[6],[7],[8]]=>11 [3,6,2,7,4,5,1,8]=>[3,6,2,7,4,5,1,8]=>[8,1,5,4,7,2,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [2,3,7,1,6,4,5,8]=>[7,2,6,3,1,4,5,8]=>[8,5,4,1,3,6,2,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>8 [3,4,7,8,5,1,6,2]=>[7,3,8,4,1,5,6,2]=>[2,6,5,1,4,8,3,7]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [3,6,2,4,7,8,5,1]=>[3,2,6,7,8,4,5,1]=>[1,5,4,8,7,6,2,3]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [5,2,3,6,4,8,7,1]=>[2,3,5,6,8,4,7,1]=>[1,7,4,8,6,5,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [3,7,6,2,5,4,8,1]=>[3,7,6,5,2,4,8,1]=>[1,8,4,2,5,6,7,3]=>[[1,2,5,6,7],[3,8],[4]]=>16 [5,3,6,4,8,7,2,1]=>[3,5,6,8,4,7,2,1]=>[1,2,7,4,8,6,5,3]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [1,5,4,8,6,2,7,3]=>[8,5,4,1,6,7,2,3]=>[3,2,7,6,1,4,5,8]=>[[1,3,7,8],[2,4],[5,6]]=>12 [4,5,2,7,6,3,8,1]=>[4,7,2,5,6,3,8,1]=>[1,8,3,6,5,2,7,4]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [7,5,1,2,6,4,8,3]=>[1,7,2,5,6,4,8,3]=>[3,8,4,6,5,2,7,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>14 [5,3,8,1,2,7,6,4]=>[3,8,1,5,7,2,6,4]=>[4,6,2,7,5,1,8,3]=>[[1,2,4,7],[3,5],[6,8]]=>14 [6,1,5,7,4,8,2,3]=>[6,5,7,4,1,2,8,3]=>[3,8,2,1,4,7,5,6]=>[[1,2,6,8],[3,5],[4,7]]=>15 [8,1,4,3,7,5,2,6]=>[8,4,3,5,1,2,7,6]=>[6,7,2,1,5,3,4,8]=>[[1,2,7,8],[3,5],[4,6]]=>14 [4,8,5,1,2,3,6,7]=>[1,4,2,5,3,8,6,7]=>[7,6,8,3,5,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [8,6,2,4,5,1,3,7]=>[2,6,4,1,5,3,8,7]=>[7,8,3,5,1,4,6,2]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [8,5,1,3,4,7,2,6]=>[1,5,8,3,4,2,7,6]=>[6,7,2,4,3,8,5,1]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [1,5,8,4,6,2,7,3]=>[5,4,1,8,6,7,2,3]=>[3,2,7,6,8,1,4,5]=>[[1,3,5],[2,4,8],[6,7]]=>13 [1,7,5,6,2,8,4,3]=>[1,5,7,6,8,4,2,3]=>[3,2,4,8,6,7,5,1]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [5,4,6,8,3,2,7,1]=>[5,8,4,6,3,2,7,1]=>[1,7,2,3,6,4,8,5]=>[[1,2,4,5,7],[3,8],[6]]=>18 [7,4,2,3,6,8,5,1]=>[2,4,7,3,6,8,5,1]=>[1,5,8,6,3,7,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [2,7,3,8,5,4,6,1]=>[2,7,8,3,5,4,6,1]=>[1,6,4,5,3,8,7,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [2,1,6,7,4,8,3,5]=>[6,2,7,8,4,1,3,5]=>[5,3,1,4,8,7,2,6]=>[[1,4,5],[2,6,8],[3,7]]=>10 [7,4,8,5,1,2,6,3]=>[1,7,4,2,5,8,6,3]=>[3,6,8,5,2,4,7,1]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [6,4,5,7,2,8,3,1]=>[4,6,5,2,7,8,3,1]=>[1,3,8,7,2,5,6,4]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [1,5,6,4,7,2,8,3]=>[5,6,4,1,7,8,2,3]=>[3,2,8,7,1,4,6,5]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [7,8,1,3,6,4,5,2]=>[7,1,3,8,4,6,5,2]=>[2,5,6,4,8,3,1,7]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [7,3,6,8,5,1,4,2]=>[7,6,3,8,1,5,4,2]=>[2,4,5,1,8,3,6,7]=>[[1,2,3,5,8],[4,6,7]]=>20 [7,5,8,1,6,2,4,3]=>[5,1,2,7,8,6,4,3]=>[3,4,6,8,7,2,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [7,2,6,8,5,1,4,3]=>[7,6,2,8,5,1,4,3]=>[3,4,1,5,8,2,6,7]=>[[1,2,4,5,8],[3,6,7]]=>19 [7,3,8,1,6,4,5,2]=>[7,8,3,1,4,6,5,2]=>[2,5,6,4,1,3,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>18 [1,7,5,8,2,4,6,3]=>[1,5,7,4,8,6,2,3]=>[3,2,6,8,4,7,5,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [7,5,2,8,1,4,6,3]=>[5,2,7,1,4,8,6,3]=>[3,6,8,4,1,7,2,5]=>[[1,2,3],[4,6,8],[5,7]]=>17 [3,7,8,2,6,5,1,4]=>[3,7,8,6,5,2,1,4]=>[4,1,2,5,6,8,7,3]=>[[1,3,4,5,6],[2,7],[8]]=>18 [3,7,8,2,1,6,4,5]=>[3,2,7,1,8,6,4,5]=>[5,4,6,8,1,7,2,3]=>[[1,3,4],[2,6,8],[5,7]]=>15 [7,8,1,6,3,5,4,2]=>[1,7,8,6,3,5,4,2]=>[2,4,5,3,6,8,7,1]=>[[1,2,3,5,6],[4,7],[8]]=>20 [6,7,8,2,5,4,3,1]=>[2,6,7,8,5,4,3,1]=>[1,3,4,5,8,7,6,2]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [7,8,1,6,2,5,4,3]=>[7,8,1,6,2,5,4,3]=>[3,4,5,2,6,1,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>19 [5,6,1,4,3,8,2,7]=>[5,6,1,4,8,3,2,7]=>[7,2,3,8,4,1,6,5]=>[[1,3,4,7],[2,5],[6,8]]=>13 [7,1,6,8,5,4,3,2]=>[7,6,8,5,4,1,3,2]=>[2,3,1,4,5,8,6,7]=>[[1,2,4,5,6,8],[3,7]]=>20 [8,7,1,6,5,4,2,3]=>[1,8,7,6,2,5,4,3]=>[3,4,5,2,6,7,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>22 [3,5,2,8,4,1,7,6]=>[8,5,3,2,4,7,1,6]=>[6,1,7,4,2,3,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>12 [8,4,6,3,5,2,1,7]=>[6,4,3,5,2,1,8,7]=>[7,8,1,2,5,3,4,6]=>[[1,2,5,7,8],[3,4],[6]]=>19 [4,5,8,2,3,6,1,7]=>[4,2,8,5,3,6,1,7]=>[7,1,6,3,5,8,2,4]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [7,6,8,1,5,3,2,4]=>[7,6,1,3,2,8,5,4]=>[4,5,8,2,3,1,6,7]=>[[1,2,3,8],[4,5,7],[6]]=>20 [8,6,7,4,1,3,2,5]=>[6,1,4,3,2,8,7,5]=>[5,7,8,2,3,4,1,6]=>[[1,2,3,8],[4,5,6],[7]]=>21 [6,8,7,4,1,2,3,5]=>[1,2,8,6,4,3,7,5]=>[5,7,3,4,6,8,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [5,6,8,1,2,3,7,4]=>[1,5,2,6,8,3,7,4]=>[4,7,3,8,6,2,5,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [5,6,1,8,2,4,7,3]=>[5,6,1,2,8,4,7,3]=>[3,7,4,8,2,1,6,5]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [5,4,7,3,2,6,1,8]=>[5,7,4,3,2,6,1,8]=>[8,1,6,2,3,4,7,5]=>[[1,3,5,6,7],[2,8],[4]]=>15 [6,4,7,3,5,2,1,8]=>[4,6,3,7,5,2,1,8]=>[8,1,2,5,7,3,6,4]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [3,8,2,7,5,1,4,6]=>[3,8,7,2,1,5,4,6]=>[6,4,5,1,2,7,8,3]=>[[1,3,6,7],[2,5,8],[4]]=>15 [4,7,8,2,1,6,3,5]=>[2,7,4,1,8,6,3,5]=>[5,3,6,8,1,4,7,2]=>[[1,3,4],[2,6,7],[5,8]]=>16 [5,7,8,4,2,1,3,6]=>[7,2,1,8,5,4,3,6]=>[6,3,4,5,8,1,2,7]=>[[1,3,4,5],[2,7,8],[6]]=>18 [7,5,8,4,3,1,2,6]=>[5,1,7,4,3,2,8,6]=>[6,8,2,3,4,7,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>20 [6,4,8,3,5,2,1,7]=>[6,4,3,8,5,2,1,7]=>[7,1,2,5,8,3,4,6]=>[[1,3,4,5,8],[2,7],[6]]=>18 [3,1,6,5,7,8,2,4]=>[6,3,5,7,1,8,2,4]=>[4,2,8,1,7,5,3,6]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [2,1,6,3,5,7,4,8]=>[2,6,5,7,1,3,4,8]=>[8,4,3,1,7,5,6,2]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [1,4,7,3,2,5,6,8]=>[7,4,1,3,2,5,6,8]=>[8,6,5,2,3,1,4,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>7 [2,7,4,3,5,1,6,8]=>[4,2,3,7,5,1,6,8]=>[8,6,1,5,7,3,2,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [1,3,7,4,5,2,6,8]=>[3,4,7,5,1,2,6,8]=>[8,6,2,1,5,7,4,3]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [6,2,1,5,7,3,4,8]=>[6,2,5,1,3,7,4,8]=>[8,4,7,3,1,5,2,6]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [6,2,4,8,3,5,1,7]=>[6,4,2,3,8,5,1,7]=>[7,1,5,8,3,2,4,6]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [2,7,4,5,3,1,6,8]=>[2,7,4,5,3,1,6,8]=>[8,6,1,3,5,4,7,2]=>[[1,4,5,7],[2],[3],[6],[8]]=>11 [5,3,7,4,2,1,6,8]=>[5,3,7,4,2,1,6,8]=>[8,6,1,2,4,7,3,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [1,2,4,6,8,3,7,5]=>[8,6,4,7,1,2,3,5]=>[5,3,2,1,7,4,6,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [6,1,3,7,2,8,5,4]=>[6,3,7,8,1,2,5,4]=>[4,5,2,1,8,7,3,6]=>[[1,2,5],[3,6,8],[4,7]]=>12 [2,1,8,3,6,5,4,7]=>[8,2,6,1,5,3,4,7]=>[7,4,3,5,1,6,2,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [2,8,7,3,6,5,4,1]=>[8,7,2,6,5,3,4,1]=>[1,4,3,5,6,2,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>19 [8,1,5,2,6,4,3,7]=>[5,6,1,4,2,3,8,7]=>[7,8,3,2,4,1,6,5]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [3,8,6,5,1,2,4,7]=>[1,8,6,3,2,5,4,7]=>[7,4,5,2,3,6,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [1,6,7,4,2,8,3,5]=>[6,7,1,4,2,8,3,5]=>[5,3,8,2,4,1,7,6]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [5,7,8,1,4,3,2,6]=>[7,8,1,5,4,3,2,6]=>[6,2,3,4,5,1,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>17 [3,1,2,6,7,8,5,4]=>[6,7,8,1,3,5,2,4]=>[4,2,5,3,1,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>9 [2,7,1,4,3,5,8,6]=>[2,4,1,3,7,8,5,6]=>[6,5,8,7,3,1,4,2]=>[[1,3],[2,4],[5,7],[6,8]]=>8 [3,8,1,6,4,2,7,5]=>[3,6,1,4,8,7,2,5]=>[5,2,7,8,4,1,6,3]=>[[1,3,4],[2,5,7],[6,8]]=>13 [8,5,1,3,2,7,4,6]=>[3,5,1,2,8,4,7,6]=>[6,7,4,8,2,1,5,3]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [1,6,3,4,7,8,2,5]=>[1,6,7,8,3,4,2,5]=>[5,2,4,3,8,7,6,1]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [3,1,5,7,6,2,8,4]=>[7,3,5,1,6,8,2,4]=>[4,2,8,6,1,5,3,7]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [6,3,1,4,2,7,8,5]=>[1,3,4,2,6,7,8,5]=>[5,8,7,6,2,4,3,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>10 [2,4,3,7,6,1,8,5]=>[7,4,6,2,3,8,1,5]=>[5,1,8,3,2,6,4,7]=>[[1,3,6,8],[2,4],[5,7]]=>10 [7,2,1,5,6,3,8,4]=>[2,7,5,1,3,6,8,4]=>[4,8,6,3,1,5,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [3,1,5,2,8,7,6,4]=>[8,3,7,1,5,6,2,4]=>[4,2,6,5,1,7,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>10 [1,2,8,4,3,7,6,5]=>[8,1,7,4,6,2,3,5]=>[5,3,2,6,4,7,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [5,3,1,8,6,2,4,7]=>[3,5,1,8,2,6,4,7]=>[7,4,6,2,8,1,5,3]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [5,1,8,6,3,2,4,7]=>[1,5,8,3,2,6,4,7]=>[7,4,6,2,3,8,5,1]=>[[1,3,6],[2,5,7],[4],[8]]=>13 [1,4,2,8,5,3,7,6]=>[8,4,1,5,7,2,3,6]=>[6,3,2,7,5,1,4,8]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [8,3,1,6,4,2,5,7]=>[3,6,1,4,2,5,8,7]=>[7,8,5,2,4,1,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [1,7,4,8,3,5,2,6]=>[1,7,8,4,3,5,2,6]=>[6,2,5,3,4,8,7,1]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [7,3,2,4,8,5,1,6]=>[3,7,2,4,5,1,8,6]=>[6,8,1,5,4,2,7,3]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [5,7,8,1,4,2,6,3]=>[1,7,5,2,8,4,6,3]=>[3,6,4,8,2,5,7,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [2,6,3,8,1,7,5,4]=>[6,8,2,3,7,5,1,4]=>[4,1,5,7,3,2,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>13 [2,5,1,8,6,3,7,4]=>[2,8,5,1,6,7,3,4]=>[4,3,7,6,1,5,8,2]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [2,8,6,4,1,7,3,5]=>[6,2,4,1,8,7,3,5]=>[5,3,7,8,1,4,2,6]=>[[1,3,4],[2,6,8],[5,7]]=>15 [6,5,1,7,2,8,4,3]=>[1,6,2,5,7,8,4,3]=>[3,4,8,7,5,2,6,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>15 [2,8,1,7,5,3,6,4]=>[2,1,8,7,5,6,3,4]=>[4,3,6,5,7,8,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>14 [4,8,2,6,3,5,1,7]=>[4,2,8,3,6,5,1,7]=>[7,1,5,6,3,8,2,4]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [3,1,5,8,2,7,4,6]=>[3,8,5,1,7,2,4,6]=>[6,4,2,7,1,5,8,3]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [6,4,1,5,3,2,7,8]=>[1,6,4,5,3,2,7,8]=>[8,7,2,3,5,4,6,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>11 [6,1,8,4,5,3,2,7]=>[6,1,8,4,5,3,2,7]=>[7,2,3,5,4,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [4,3,5,7,1,6,8,2]=>[4,3,5,7,1,6,8,2]=>[2,8,6,1,7,5,3,4]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [6,3,8,4,5,1,7,2]=>[3,6,4,1,8,5,7,2]=>[2,7,5,8,1,4,6,3]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [6,3,8,4,5,2,1,7]=>[3,6,4,8,5,2,1,7]=>[7,1,2,5,8,4,6,3]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [6,5,8,7,2,3,4,1]=>[6,2,8,5,3,7,4,1]=>[1,4,7,3,5,8,2,6]=>[[1,2,3,6],[4,5,8],[7]]=>21 [3,2,6,8,5,4,7,1]=>[8,6,3,5,2,4,7,1]=>[1,7,4,2,5,3,6,8]=>[[1,2,5,7,8],[3,6],[4]]=>14 [3,1,6,8,5,2,4,7]=>[8,6,3,1,5,2,4,7]=>[7,4,2,5,1,3,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [6,5,8,7,4,1,2,3]=>[6,1,8,5,2,7,4,3]=>[3,4,7,2,5,8,1,6]=>[[1,2,3,6],[4,5,8],[7]]=>21 [6,5,8,7,4,2,1,3]=>[6,8,5,2,1,7,4,3]=>[3,4,7,1,2,5,8,6]=>[[1,2,3,7],[4,5,6,8]]=>22 [6,2,8,4,5,7,1,3]=>[2,8,6,4,5,1,7,3]=>[3,7,1,5,4,6,8,2]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [4,2,7,3,5,8,6,1]=>[2,7,4,8,3,5,6,1]=>[1,6,5,3,8,4,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [3,6,2,4,8,5,7,1]=>[3,6,2,8,4,5,7,1]=>[1,7,5,4,8,2,6,3]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [4,7,3,5,2,8,6,1]=>[4,3,7,5,8,2,6,1]=>[1,6,2,8,5,7,3,4]=>[[1,2,4,6],[3,5],[7,8]]=>16 [2,7,5,4,3,8,6,1]=>[7,5,2,4,8,3,6,1]=>[1,6,3,8,4,2,5,7]=>[[1,2,4,7,8],[3,5],[6]]=>15 [3,5,1,8,4,7,6,2]=>[3,8,5,7,1,4,6,2]=>[2,6,4,1,7,5,8,3]=>[[1,2,5,7],[3,6],[4,8]]=>13 [4,7,2,3,8,6,5,1]=>[2,4,7,8,6,3,5,1]=>[1,5,3,6,8,7,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [2,4,8,3,7,6,5,1]=>[8,4,7,6,2,3,5,1]=>[1,5,3,2,6,7,4,8]=>[[1,2,5,6,8],[3,7],[4]]=>15 [5,7,4,8,3,2,6,1]=>[7,5,8,4,3,2,6,1]=>[1,6,2,3,4,8,5,7]=>[[1,2,4,5,6,8],[3,7]]=>20 [2,6,8,5,4,3,7,1]=>[8,6,5,4,2,3,7,1]=>[1,7,3,2,4,5,6,8]=>[[1,2,5,6,7,8],[3],[4]]=>17 [4,6,8,3,2,5,7,1]=>[8,6,4,3,2,5,7,1]=>[1,7,5,2,3,4,6,8]=>[[1,2,5,6,7,8],[3],[4]]=>17 [4,6,2,8,3,5,7,1]=>[6,2,8,4,3,5,7,1]=>[1,7,5,3,4,8,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [5,2,6,8,4,1,7,3]=>[8,5,6,2,1,4,7,3]=>[3,7,4,1,2,6,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>15 [4,6,3,8,7,2,5,1]=>[6,8,4,7,3,2,5,1]=>[1,5,2,3,7,4,8,6]=>[[1,2,4,5,7],[3,6,8]]=>18 [5,7,2,4,8,6,3,1]=>[5,2,7,8,4,6,3,1]=>[1,3,6,4,8,7,2,5]=>[[1,2,3,5],[4,6],[7,8]]=>18 [3,5,8,2,7,4,6,1]=>[5,8,7,3,2,4,6,1]=>[1,6,4,2,3,7,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>16 [2,4,8,7,6,3,5,1]=>[8,7,6,4,2,3,5,1]=>[1,5,3,2,4,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>17 [7,5,1,6,3,2,8,4]=>[5,3,1,2,7,6,8,4]=>[4,8,6,7,2,1,3,5]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [7,1,5,2,3,8,4,6]=>[1,2,5,7,3,4,8,6]=>[6,8,4,3,7,5,2,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>11 [2,7,6,3,4,1,8,5]=>[2,3,7,6,4,8,1,5]=>[5,1,8,4,6,7,3,2]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [8,6,4,3,1,7,5,2]=>[1,4,3,6,8,7,5,2]=>[2,5,7,8,6,3,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [6,7,5,1,4,8,2,3]=>[6,7,1,5,4,2,8,3]=>[3,8,2,4,5,1,7,6]=>[[1,2,5,7],[3,4],[6,8]]=>18 [4,8,2,1,7,5,6,3]=>[8,4,7,2,1,5,6,3]=>[3,6,5,1,2,7,4,8]=>[[1,2,6,8],[3,5,7],[4]]=>15 [6,3,8,5,7,2,4,1]=>[8,6,3,5,2,7,4,1]=>[1,4,7,2,5,3,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>20 [1,5,4,8,6,2,3,7]=>[8,5,4,1,6,2,3,7]=>[7,3,2,6,1,4,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [8,2,1,7,5,3,6,4]=>[2,1,8,7,3,5,6,4]=>[4,6,5,3,7,8,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [5,1,7,4,2,8,3,6]=>[5,7,1,4,2,8,3,6]=>[6,3,8,2,4,1,7,5]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [8,2,1,6,7,3,5,4]=>[6,2,8,7,1,3,5,4]=>[4,5,3,1,7,8,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>15 [5,3,2,8,7,6,1,4]=>[8,3,7,2,5,1,6,4]=>[4,6,1,5,2,7,3,8]=>[[1,2,6,8],[3,4,7],[5]]=>16 [6,2,8,1,7,5,3,4]=>[8,2,6,1,7,3,5,4]=>[4,5,3,7,1,6,2,8]=>[[1,2,4,8],[3,6],[5,7]]=>16 [3,2,6,8,1,7,5,4]=>[8,6,3,7,2,5,1,4]=>[4,1,5,2,7,3,6,8]=>[[1,3,5,7,8],[2,4,6]]=>13 [4,2,8,7,5,1,6,3]=>[2,8,7,4,1,5,6,3]=>[3,6,5,1,4,7,8,2]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [8,3,7,6,4,5,2,1]=>[3,8,7,4,6,5,2,1]=>[1,2,5,6,4,7,8,3]=>[[1,2,3,4,6,7],[5],[8]]=>23 [3,5,1,8,7,6,2,4]=>[8,5,7,3,1,6,2,4]=>[4,2,6,1,3,7,5,8]=>[[1,3,6,8],[2,5,7],[4]]=>14 [1,3,4,2,6,5,8,7,10,9]=>[3,4,6,8,10,1,2,5,7,9]=>[9,7,5,2,1,10,8,6,4,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>5 [5,6,2,7,8,1,3,4]=>[2,5,6,1,7,3,8,4]=>[4,8,3,7,1,6,5,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>15 [4,7,3,1,2,5,6,8]=>[1,4,3,2,7,5,6,8]=>[8,6,5,7,2,3,4,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [4,7,3,5,6,1,2,8]=>[4,3,7,5,1,6,2,8]=>[8,2,6,1,5,7,3,4]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [4,7,3,5,6,8,1,2]=>[4,3,7,5,6,1,8,2]=>[2,8,1,6,5,7,3,4]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [4,7,8,3,5,6,1,2]=>[7,4,3,8,5,1,6,2]=>[2,6,1,5,8,3,4,7]=>[[1,2,5,8],[3,4,7],[6]]=>19 [4,7,8,3,5,1,2,6]=>[7,4,3,1,8,5,2,6]=>[6,2,5,8,1,3,4,7]=>[[1,3,4,8],[2,6,7],[5]]=>17 [2,1,3,4,5,6,9,7,8]=>[9,2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>3 [1,2,3,4,5,7,8,6,9]=>[7,8,1,2,3,4,5,6,9]=>[9,6,5,4,3,2,1,8,7]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>2 [2,1,3,4,5,6,7,10,8,9]=>[10,2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>3 [3,2,5,6,8,4,7,1]=>[8,3,5,6,2,4,7,1]=>[1,7,4,2,6,5,3,8]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [8,4,5,2,6,3,7,1]=>[4,2,5,6,3,8,7,1]=>[1,7,8,3,6,5,2,4]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [2,5,6,4,8,3,7,1]=>[5,6,8,4,2,3,7,1]=>[1,7,3,2,4,8,6,5]=>[[1,2,5,6],[3,7],[4,8]]=>14 [5,3,2,4,7,8,1,6]=>[3,2,5,7,8,4,1,6]=>[6,1,4,8,7,5,2,3]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [4,7,3,1,6,8,2,5]=>[4,3,7,6,1,8,2,5]=>[5,2,8,1,6,7,3,4]=>[[1,3,6],[2,5,8],[4,7]]=>14 [4,2,3,6,7,1,8,5]=>[2,4,6,7,3,8,1,5]=>[5,1,8,3,7,6,4,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [4,2,7,6,8,1,3,5]=>[7,4,6,2,1,8,3,5]=>[5,3,8,1,2,6,4,7]=>[[1,3,6,8],[2,5],[4,7]]=>14 [1,7,4,6,8,3,2,5]=>[7,6,8,4,1,3,2,5]=>[5,2,3,1,4,8,6,7]=>[[1,3,5,6,8],[2,7],[4]]=>14 [6,4,3,2,7,1,8,5]=>[4,3,2,6,1,7,8,5]=>[5,8,7,1,6,2,3,4]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [1,6,5,7,3,2,8,4]=>[1,6,5,7,3,8,2,4]=>[4,2,8,3,7,5,6,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [5,2,6,7,1,3,8,4]=>[5,6,2,1,3,7,8,4]=>[4,8,7,3,1,2,6,5]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [5,6,3,7,1,2,8,4]=>[5,3,1,6,2,7,8,4]=>[4,8,7,2,6,1,3,5]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [4,7,2,5,6,3,1,8]=>[7,4,2,5,6,3,1,8]=>[8,1,3,6,5,2,4,7]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [1,3,2,7,6,4,8,5]=>[7,6,3,8,1,2,4,5]=>[5,4,2,1,8,3,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [5,4,1,3,7,8,2,6]=>[5,1,4,7,8,3,2,6]=>[6,2,3,8,7,4,1,5]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [5,1,3,6,7,8,2,4]=>[3,5,6,7,1,2,8,4]=>[4,8,2,1,7,6,5,3]=>[[1,2],[3,5],[4,6],[7],[8]]=>11 [4,1,2,7,5,3,8,6]=>[4,7,1,2,5,8,3,6]=>[6,3,8,5,2,1,7,4]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [4,1,3,5,7,8,2,6]=>[4,7,8,1,3,5,2,6]=>[6,2,5,3,1,8,7,4]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [1,2,4,7,5,3,8,6]=>[4,7,5,8,1,2,3,6]=>[6,3,2,1,8,5,7,4]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [6,1,5,8,4,3,2,7]=>[6,8,5,4,1,3,2,7]=>[7,2,3,1,4,5,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>15 [7,2,1,6,8,3,5,4]=>[7,6,2,8,1,3,5,4]=>[4,5,3,1,8,2,6,7]=>[[1,2,5,8],[3,6,7],[4]]=>14 [5,1,4,3,7,8,2,6]=>[5,4,7,8,1,3,2,6]=>[6,2,3,1,8,7,4,5]=>[[1,3,5,8],[2,6],[4,7]]=>11 [6,1,3,7,2,4,8,5]=>[6,3,1,2,4,7,8,5]=>[5,8,7,4,2,1,3,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [5,6,4,1,8,3,2,7]=>[5,1,6,4,8,3,2,7]=>[7,2,3,8,4,6,1,5]=>[[1,3,4,6],[2,5],[7,8]]=>15 [7,2,5,6,3,4,1,8]=>[7,2,5,3,6,4,1,8]=>[8,1,4,6,3,5,2,7]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [2,3,7,8,5,1,6,4]=>[2,7,8,5,3,6,1,4]=>[4,1,6,3,5,8,7,2]=>[[1,3,5,6],[2,4,7],[8]]=>13 [4,1,7,6,2,3,8,5]=>[1,7,4,2,6,8,3,5]=>[5,3,8,6,2,4,7,1]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [3,6,7,4,5,1,8,2]=>[6,3,7,4,1,5,8,2]=>[2,8,5,1,4,7,3,6]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [10,2,3,4,5,6,7,8,1,9]=>[2,3,4,5,6,7,8,1,10,9]=>[9,10,1,8,7,6,5,4,3,2]=>[[1,2],[3,4],[5],[6],[7],[8],[9],[10]]=>16 [5,8,6,3,4,1,2,7]=>[5,3,1,8,6,4,2,7]=>[7,2,4,6,8,1,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>18 [8,6,2,3,7,5,1,4]=>[2,8,3,6,1,7,5,4]=>[4,5,7,1,6,3,8,2]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [3,4,8,2,5,6,1,7]=>[3,4,2,8,5,6,1,7]=>[7,1,6,5,8,2,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [8,5,6,3,7,1,4,2]=>[5,3,1,6,8,7,4,2]=>[2,4,7,8,6,1,3,5]=>[[1,2,3,4],[5,7,8],[6]]=>21 [2,8,3,6,7,4,5,1]=>[8,2,6,3,7,4,5,1]=>[1,5,4,7,3,6,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [2,5,7,8,3,4,6,1]=>[7,2,8,5,3,4,6,1]=>[1,6,4,3,5,8,2,7]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [8,1,3,2,5,7,4,6]=>[8,3,5,1,2,4,7,6]=>[6,7,4,2,1,5,3,8]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [6,3,7,8,5,1,4,2]=>[6,7,3,8,1,5,4,2]=>[2,4,5,1,8,3,7,6]=>[[1,2,3,5],[4,6,7],[8]]=>19 [6,3,2,5,8,4,1,7]=>[3,6,8,2,5,4,1,7]=>[7,1,4,5,2,8,6,3]=>[[1,3,4,6],[2,7],[5,8]]=>14 [5,6,7,2,8,4,1,3]=>[5,2,6,7,1,8,4,3]=>[3,4,8,1,7,6,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [6,8,7,1,3,5,2,4]=>[6,8,1,3,2,7,5,4]=>[4,5,7,2,3,1,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>19 [4,3,8,5,2,7,1,6]=>[4,3,8,5,7,2,1,6]=>[6,1,2,7,5,8,3,4]=>[[1,3,4,6],[2,5,8],[7]]=>15 [5,6,8,2,4,3,1,7]=>[5,8,2,6,4,3,1,7]=>[7,1,3,4,6,2,8,5]=>[[1,3,4,5,7],[2,8],[6]]=>17 [8,1,4,7,5,3,6,2]=>[1,8,7,4,5,3,6,2]=>[2,6,3,5,4,7,8,1]=>[[1,2,4,6,7],[3],[5],[8]]=>17 [3,5,7,1,6,4,8,2]=>[5,7,3,6,1,4,8,2]=>[2,8,4,1,6,3,7,5]=>[[1,2,5,7],[3,6,8],[4]]=>13 [3,6,5,1,7,4,2,8]=>[3,6,5,7,1,4,2,8]=>[8,2,4,1,7,5,6,3]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [2,6,7,4,1,5,3,8]=>[6,4,2,7,5,1,3,8]=>[8,3,1,5,7,2,4,6]=>[[1,4,5,8],[2,6,7],[3]]=>12 [3,2,5,8,4,7,1,6]=>[3,8,5,7,2,4,1,6]=>[6,1,4,2,7,5,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>12 [2,5,8,1,3,4,7,6]=>[2,1,5,8,7,3,4,6]=>[6,4,3,7,8,5,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [3,5,1,8,7,4,2,6]=>[8,5,3,7,1,4,2,6]=>[6,2,4,1,7,3,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>13 [1,4,8,7,5,2,3,6]=>[4,1,8,7,5,2,3,6]=>[6,3,2,5,7,8,1,4]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [7,8,6,1,2,5,3,4]=>[7,1,2,3,8,6,5,4]=>[4,5,6,8,3,2,1,7]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [4,6,1,3,8,2,7,5]=>[6,8,1,4,3,7,2,5]=>[5,2,7,3,4,1,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>12 [6,8,1,2,3,7,5,4]=>[8,1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>14 [2,3,7,6,8,1,4,5]=>[7,6,2,8,3,1,4,5]=>[5,4,1,3,8,2,6,7]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [3,5,1,8,4,7,2,6]=>[5,8,3,7,1,4,2,6]=>[6,2,4,1,7,3,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>12 [7,6,1,2,3,5,8,4]=>[7,1,2,3,6,5,8,4]=>[4,8,5,6,3,2,1,7]=>[[1,2,4,8],[3],[5],[6],[7]]=>13 [8,6,1,2,3,5,7,4]=>[6,1,2,3,5,8,7,4]=>[4,7,8,5,3,2,1,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [7,5,1,2,6,3,8,4]=>[5,1,2,3,7,6,8,4]=>[4,8,6,7,3,2,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [3,1,7,6,2,8,5,4]=>[3,7,6,8,1,5,2,4]=>[4,2,5,1,8,6,7,3]=>[[1,3,5,7],[2,6],[4,8]]=>12 [5,3,6,7,4,2,8,1]=>[3,5,6,7,4,2,8,1]=>[1,8,2,4,7,6,5,3]=>[[1,2,4,5],[3],[6],[7],[8]]=>16 [8,2,7,3,1,4,6,5]=>[2,3,8,1,7,4,6,5]=>[5,6,4,7,1,8,3,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [6,8,7,3,1,5,2,4]=>[6,3,1,8,2,7,5,4]=>[4,5,7,2,8,1,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>20 [3,5,4,8,6,7,2,1]=>[8,5,3,4,6,7,2,1]=>[1,2,7,6,4,3,5,8]=>[[1,2,3,7,8],[4],[5],[6]]=>16 [5,4,2,8,6,7,3,1]=>[5,2,8,4,6,7,3,1]=>[1,3,7,6,4,8,2,5]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [6,1,4,2,8,7,3,5]=>[8,1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1,8]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [3,2,4,6,8,5,7,1]=>[8,3,6,2,4,5,7,1]=>[1,7,5,4,2,6,3,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [1,7,6,4,5,8,2,3]=>[4,7,6,5,1,8,2,3]=>[3,2,8,1,5,6,7,4]=>[[1,3,6,7],[2,5],[4,8]]=>15 [7,2,1,3,8,5,6,4]=>[7,8,2,1,3,5,6,4]=>[4,6,5,3,1,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [3,7,2,6,8,4,5,1]=>[7,3,6,2,8,4,5,1]=>[1,5,4,8,2,6,3,7]=>[[1,2,4,8],[3,6],[5,7]]=>16 [6,2,4,5,7,8,3,1]=>[2,6,4,5,7,8,3,1]=>[1,3,8,7,5,4,6,2]=>[[1,2,3,7],[4],[5],[6],[8]]=>15 [4,6,5,2,7,8,3,1]=>[6,4,2,5,7,8,3,1]=>[1,3,8,7,5,2,4,6]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [5,4,6,2,7,8,3,1]=>[5,4,2,6,7,8,3,1]=>[1,3,8,7,6,2,4,5]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [3,7,1,8,2,4,6,5]=>[1,7,3,8,2,6,4,5]=>[5,4,6,2,8,3,7,1]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [2,5,8,1,4,6,3,7]=>[2,5,4,8,6,1,3,7]=>[7,3,1,6,8,4,5,2]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [7,2,8,3,1,5,6,4]=>[2,3,7,1,8,5,6,4]=>[4,6,5,8,1,7,3,2]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [6,2,1,8,5,7,4,3]=>[8,6,2,5,7,1,4,3]=>[3,4,1,7,5,2,6,8]=>[[1,2,4,7,8],[3,5],[6]]=>15 [5,4,7,2,3,8,6,1]=>[5,2,7,4,8,3,6,1]=>[1,6,3,8,4,7,2,5]=>[[1,2,4,6],[3,5],[7,8]]=>16 [6,5,7,8,1,3,4,2]=>[1,6,5,7,3,8,4,2]=>[2,4,8,3,7,5,6,1]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [6,5,7,8,1,3,2,4]=>[1,6,5,7,3,2,8,4]=>[4,8,2,3,7,5,6,1]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [6,4,7,2,8,3,1,5]=>[4,2,6,7,3,1,8,5]=>[5,8,1,3,7,6,2,4]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [6,3,2,7,8,4,5,1]=>[3,6,7,2,4,8,5,1]=>[1,5,8,4,2,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [6,5,7,8,2,4,3,1]=>[6,5,2,7,8,4,3,1]=>[1,3,4,8,7,2,5,6]=>[[1,2,3,4,8],[5,7],[6]]=>21 [1,4,8,2,7,6,5,3]=>[8,7,4,6,1,5,2,3]=>[3,2,5,1,6,4,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>13 [1,2,7,8,9,10,3,4,5,6]=>[7,1,8,2,9,3,10,4,5,6]=>[6,5,4,10,3,9,2,8,1,7]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>16 [4,7,3,1,5,2,8,6]=>[1,4,3,7,5,8,2,6]=>[6,2,8,5,7,3,4,1]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [4,7,3,6,5,2,8,1]=>[4,7,6,3,5,2,8,1]=>[1,8,2,5,3,6,7,4]=>[[1,2,4,6,7],[3,8],[5]]=>17 [4,7,6,3,1,5,8,2]=>[1,7,6,4,3,5,8,2]=>[2,8,5,3,4,6,7,1]=>[[1,2,5,6,7],[3],[4],[8]]=>16 [2,4,7,3,8,5,1,6]=>[7,8,2,4,3,5,1,6]=>[6,1,5,3,4,2,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [2,7,3,1,8,5,4,6]=>[7,2,3,8,1,5,4,6]=>[6,4,5,1,8,3,2,7]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [2,5,3,1,7,4,8,6]=>[2,5,7,3,8,1,4,6]=>[6,4,1,8,3,7,5,2]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [2,4,3,1,7,5,8,6]=>[4,7,2,3,8,1,5,6]=>[6,5,1,8,3,2,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [2,8,3,1,7,4,5,6]=>[2,8,3,1,4,7,5,6]=>[6,5,7,4,1,3,8,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [7,1,6,3,8,4,2,5]=>[7,3,6,4,1,2,8,5]=>[5,8,2,1,4,6,3,7]=>[[1,2,6,8],[3,5],[4,7]]=>15 [7,8,6,3,5,2,1,4]=>[3,7,2,1,8,6,5,4]=>[4,5,6,8,1,2,7,3]=>[[1,2,3,4],[5,6,7],[8]]=>23 [1,6,2,5,7,8,3,4]=>[6,5,7,1,2,8,3,4]=>[4,3,8,2,1,7,5,6]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [1,7,8,2,5,4,6,3]=>[7,5,1,4,8,6,2,3]=>[3,2,6,8,4,1,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>14 [1,2,6,8,3,4,7,5]=>[1,6,8,2,7,3,4,5]=>[5,4,3,7,2,8,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [1,6,2,5,3,7,8,4]=>[1,6,2,5,7,8,3,4]=>[4,3,8,7,5,2,6,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [1,5,6,8,3,2,4,7]=>[5,8,1,6,3,2,4,7]=>[7,4,2,3,6,1,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [1,7,3,5,4,2,8,6]=>[7,1,5,3,4,8,2,6]=>[6,2,8,4,3,5,1,7]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [1,8,2,7,3,5,6,4]=>[1,8,2,7,5,6,3,4]=>[4,3,6,5,7,2,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [1,7,4,8,6,5,3,2]=>[7,8,4,6,5,3,1,2]=>[2,1,3,5,6,4,8,7]=>[[1,3,4,5,7],[2,6,8]]=>17 [1,6,3,7,2,5,8,4]=>[6,1,7,3,5,8,2,4]=>[4,2,8,5,3,7,1,6]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [1,8,2,3,7,4,6,5]=>[8,1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>10 [1,7,2,3,8,4,6,5]=>[1,7,8,2,3,6,4,5]=>[5,4,6,3,2,8,7,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [1,5,4,7,2,8,3,6]=>[5,7,4,1,8,2,3,6]=>[6,3,2,8,1,4,7,5]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [4,6,7,1,5,2,8,3]=>[6,4,1,7,2,5,8,3]=>[3,8,5,2,7,1,4,6]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [3,8,5,2,6,1,7,4]=>[5,3,6,2,8,7,1,4]=>[4,1,7,8,2,6,3,5]=>[[1,3,4,8],[2,5,6],[7]]=>15 [3,7,4,8,5,2,6,1]=>[7,3,4,8,5,2,6,1]=>[1,6,2,5,8,4,3,7]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [3,6,1,5,2,8,7,4]=>[3,1,6,8,5,7,2,4]=>[4,2,7,5,8,6,1,3]=>[[1,3,5],[2,4,6],[7,8]]=>11 [8,1,2,6,5,3,4,7]=>[1,6,5,2,3,4,8,7]=>[7,8,4,3,2,5,6,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [3,7,4,2,5,6,1,8]=>[3,4,2,7,5,6,1,8]=>[8,1,6,5,7,2,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [3,4,2,7,5,1,6,8]=>[7,3,4,2,5,1,6,8]=>[8,6,1,5,2,4,3,7]=>[[1,4,6,8],[2],[3],[5],[7]]=>9 [6,7,1,3,4,2,5,8]=>[1,6,3,4,2,7,5,8]=>[8,5,7,2,4,3,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [3,4,2,8,6,7,5,1]=>[3,8,4,6,7,2,5,1]=>[1,5,2,7,6,4,8,3]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [3,7,8,6,1,4,2,5]=>[1,7,3,8,6,4,2,5]=>[5,2,4,6,8,3,7,1]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [7,1,6,8,3,4,2,5]=>[3,7,6,4,1,2,8,5]=>[5,8,2,1,4,6,7,3]=>[[1,2,6,7],[3,5],[4,8]]=>16 [7,4,8,1,2,6,3,5]=>[7,1,4,2,8,3,6,5]=>[5,6,3,8,2,4,1,7]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [6,2,8,4,7,1,3,5]=>[6,8,4,2,1,3,7,5]=>[5,7,3,1,2,4,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>16 [8,3,4,2,5,7,1,6]=>[3,4,8,2,5,1,7,6]=>[6,7,1,5,2,8,4,3]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [3,7,8,4,2,5,6,1]=>[3,7,4,2,8,5,6,1]=>[1,6,5,8,2,4,7,3]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [3,8,4,2,5,6,1,7]=>[3,4,2,5,8,6,1,7]=>[7,1,6,8,5,2,4,3]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [3,6,1,5,2,8,4,7]=>[3,6,5,1,8,2,4,7]=>[7,4,2,8,1,5,6,3]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [7,1,3,4,8,5,2,6]=>[7,3,4,5,1,2,8,6]=>[6,8,2,1,5,4,3,7]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [7,1,3,4,2,5,8,6]=>[3,4,1,2,5,7,8,6]=>[6,8,7,5,2,1,4,3]=>[[1,2],[3,7],[4,8],[5],[6]]=>9 [3,4,2,6,8,5,1,7]=>[8,3,4,6,2,5,1,7]=>[7,1,5,2,6,4,3,8]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [8,7,1,3,4,2,5,6]=>[3,4,1,2,5,8,7,6]=>[6,7,8,5,2,1,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [7,1,3,4,2,5,6,8]=>[3,4,1,2,5,7,6,8]=>[8,6,7,5,2,1,4,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>8 [3,6,1,4,2,5,7,8]=>[1,3,6,4,2,5,7,8]=>[8,7,5,2,4,6,3,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>7 [1,4,3,2,5,6,7,8,9]=>[4,3,1,2,5,6,7,8,9]=>[9,8,7,6,5,2,1,3,4]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>3 [1,8,4,5,7,6,2,3]=>[8,4,5,1,7,6,2,3]=>[3,2,6,7,1,5,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>15 [4,3,8,5,7,1,6,2]=>[4,3,8,5,7,1,6,2]=>[2,6,1,7,5,8,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>16 [5,2,8,7,1,4,6,3]=>[5,8,7,2,1,4,6,3]=>[3,6,4,1,2,7,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>16 [3,2,8,7,1,6,4,5]=>[3,8,7,6,2,1,4,5]=>[5,4,1,2,6,7,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>14 [2,7,8,5,1,4,6,3]=>[2,7,5,4,8,6,1,3]=>[3,1,6,8,4,5,7,2]=>[[1,3,4,7],[2,5,6],[8]]=>16 [3,5,8,7,4,1,6,2]=>[8,7,5,3,1,4,6,2]=>[2,6,4,1,3,5,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>17 [2,7,8,1,3,6,4,5]=>[2,7,1,3,8,6,4,5]=>[5,4,6,8,3,1,7,2]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [2,7,8,1,4,5,6,3]=>[2,4,7,5,8,6,1,3]=>[3,1,6,8,5,7,4,2]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [3,6,7,8,2,4,1,5]=>[6,7,3,2,8,4,1,5]=>[5,1,4,8,2,3,7,6]=>[[1,3,4,7],[2,6],[5,8]]=>16 [4,5,7,8,6,3,1,2]=>[7,8,4,5,1,6,3,2]=>[2,3,6,1,5,4,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>19 [5,4,6,8,7,3,1,2]=>[5,8,4,6,1,7,3,2]=>[2,3,7,1,6,4,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>19 [5,4,7,8,6,3,1,2]=>[5,7,8,4,1,6,3,2]=>[2,3,6,1,4,8,7,5]=>[[1,2,3,6],[4,5,7],[8]]=>20 [4,5,6,8,7,3,1,2]=>[8,4,5,6,1,7,3,2]=>[2,3,7,1,6,5,4,8]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [8,1,7,5,4,3,6,2]=>[8,7,1,5,4,3,6,2]=>[2,6,3,4,5,1,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>19 [6,1,3,4,8,5,7,2]=>[6,1,3,8,4,5,7,2]=>[2,7,5,4,8,3,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [5,7,3,4,2,1,6,8]=>[3,7,5,4,2,1,6,8]=>[8,6,1,2,4,5,7,3]=>[[1,4,5,6,7],[2],[3],[8]]=>14 [8,1,6,5,3,7,4,2]=>[1,6,5,8,7,3,4,2]=>[2,4,3,7,8,5,6,1]=>[[1,2,4,5],[3,6,7],[8]]=>18 [7,1,6,4,5,3,8,2]=>[4,7,6,5,1,3,8,2]=>[2,8,3,1,5,6,7,4]=>[[1,2,5,6,7],[3,8],[4]]=>16 [4,1,8,6,7,2,5,3]=>[6,4,8,7,1,2,5,3]=>[3,5,2,1,7,8,4,6]=>[[1,2,5,6],[3,7,8],[4]]=>15 [1,2,8,3,6,7,5,4]=>[6,8,7,1,5,2,3,4]=>[4,3,2,5,1,7,8,6]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [6,8,5,4,1,2,3,7]=>[1,2,8,6,5,4,3,7]=>[7,3,4,5,6,8,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>18 [6,4,1,7,3,2,5,8]=>[4,6,1,3,2,7,5,8]=>[8,5,7,2,3,1,6,4]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [4,6,7,1,2,5,3,8]=>[1,6,4,7,2,5,3,8]=>[8,3,5,2,7,4,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [6,1,7,3,2,5,8,4]=>[6,1,3,7,2,5,8,4]=>[4,8,5,2,7,3,1,6]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [7,4,1,8,2,3,6,5]=>[1,4,2,7,8,3,6,5]=>[5,6,3,8,7,2,4,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [1,4,6,7,8,2,5,3]=>[6,7,4,8,1,5,2,3]=>[3,2,5,1,8,4,7,6]=>[[1,3,5],[2,6,7],[4,8]]=>12 [8,3,1,2,5,6,4,7]=>[1,3,5,6,2,4,8,7]=>[7,8,4,2,6,5,3,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>11 [5,3,4,1,6,7,2,8]=>[3,1,5,4,6,7,2,8]=>[8,2,7,6,4,5,1,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [6,2,7,4,8,3,1,5]=>[6,4,7,2,3,1,8,5]=>[5,8,1,3,2,7,4,6]=>[[1,2,6,8],[3,4],[5,7]]=>16 [2,8,5,1,4,3,7,6]=>[2,8,1,5,4,7,3,6]=>[6,3,7,4,5,1,8,2]=>[[1,3,5,7],[2,4],[6,8]]=>12 [5,6,4,8,7,2,3,1]=>[5,6,8,4,2,7,3,1]=>[1,3,7,2,4,8,6,5]=>[[1,2,3,6],[4,5,7],[8]]=>20 [1,6,8,2,5,7,3,4]=>[1,6,8,5,2,7,3,4]=>[4,3,7,2,5,8,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>13 [7,4,2,5,6,8,1,3]=>[2,4,5,7,6,1,8,3]=>[3,8,1,6,7,5,4,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [5,3,6,4,7,2,1,8]=>[3,5,6,4,7,2,1,8]=>[8,1,2,7,4,6,5,3]=>[[1,3,4,6],[2],[5],[7],[8]]=>14 [5,4,6,2,7,3,1,8]=>[5,4,2,6,7,3,1,8]=>[8,1,3,7,6,2,4,5]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [3,2,6,5,8,4,1,7]=>[6,8,3,5,2,4,1,7]=>[7,1,4,2,5,3,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>12 [4,2,6,5,8,7,1,3]=>[6,8,2,4,5,1,7,3]=>[3,7,1,5,4,2,8,6]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [5,2,6,4,8,7,1,3]=>[5,6,8,2,4,1,7,3]=>[3,7,1,4,2,8,6,5]=>[[1,2,6],[3,4,7],[5,8]]=>15 [6,4,7,5,8,3,1,2]=>[4,6,7,5,1,8,3,2]=>[2,3,8,1,5,7,6,4]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [4,2,7,5,8,6,1,3]=>[2,7,8,4,5,1,6,3]=>[3,6,1,5,4,8,7,2]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [3,2,7,5,8,4,1,6]=>[3,7,8,5,2,4,1,6]=>[6,1,4,2,5,8,7,3]=>[[1,3,5,6],[2,7],[4,8]]=>13 [4,3,7,2,8,5,1,6]=>[7,4,8,3,2,5,1,6]=>[6,1,5,2,3,8,4,7]=>[[1,3,5,6,8],[2,7],[4]]=>14 [4,3,6,2,8,5,1,7]=>[4,6,8,3,2,5,1,7]=>[7,1,5,2,3,8,6,4]=>[[1,3,5,6],[2,7],[4,8]]=>13 [5,3,7,6,8,2,1,4]=>[7,3,5,6,2,1,8,4]=>[4,8,1,2,6,5,3,7]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [3,2,6,4,8,7,1,5]=>[6,8,3,7,2,4,1,5]=>[5,1,4,2,7,3,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>12 [5,2,7,6,8,3,1,4]=>[7,5,6,2,3,1,8,4]=>[4,8,1,3,2,6,5,7]=>[[1,2,6,8],[3,4],[5,7]]=>16 [3,2,7,6,8,4,1,5]=>[7,6,8,3,2,4,1,5]=>[5,1,4,2,3,8,6,7]=>[[1,3,5,6,8],[2,7],[4]]=>14 [3,2,7,6,8,5,1,4]=>[7,6,8,3,5,2,1,4]=>[4,1,2,5,3,8,6,7]=>[[1,3,4,6,8],[2,5,7]]=>15 [6,2,7,5,8,4,1,3]=>[6,7,5,8,2,1,4,3]=>[3,4,1,2,8,5,7,6]=>[[1,2,5,7],[3,4,6],[8]]=>18 [4,8,1,7,3,2,5,6]=>[8,1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [4,7,5,8,3,2,6,1]=>[4,7,8,5,3,2,6,1]=>[1,6,2,3,5,8,7,4]=>[[1,2,4,5,6],[3,7],[8]]=>19 [6,7,1,3,2,5,8,4]=>[3,1,2,6,7,5,8,4]=>[4,8,5,7,6,2,1,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [8,7,6,4,1,5,3,2]=>[1,8,4,7,6,5,3,2]=>[2,3,5,6,7,4,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>24 [3,8,5,2,6,4,7,1]=>[3,2,8,5,6,4,7,1]=>[1,7,4,6,5,8,2,3]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [7,2,5,3,4,8,1,6]=>[2,5,3,4,7,1,8,6]=>[6,8,1,7,4,3,5,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>14 [6,4,7,8,5,1,2,3]=>[4,6,1,7,2,8,5,3]=>[3,5,8,2,7,1,6,4]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [4,8,2,3,7,5,6,1]=>[4,2,8,3,7,5,6,1]=>[1,6,5,7,3,8,2,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [7,5,6,2,3,8,4,1]=>[2,5,3,7,6,8,4,1]=>[1,4,8,6,7,3,5,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [3,8,5,7,6,4,2,1]=>[8,5,7,6,3,4,2,1]=>[1,2,4,3,6,7,5,8]=>[[1,2,3,5,6,8],[4,7]]=>21 [7,8,6,3,5,4,2,1]=>[3,7,8,6,5,4,2,1]=>[1,2,4,5,6,8,7,3]=>[[1,2,3,4,5,6],[7],[8]]=>25 [7,4,2,5,6,3,8,1]=>[2,4,5,7,6,3,8,1]=>[1,8,3,6,7,5,4,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>16 [6,2,5,8,3,7,4,1]=>[6,5,8,2,3,7,4,1]=>[1,4,7,3,2,8,5,6]=>[[1,2,3,6],[4,7,8],[5]]=>17 [8,2,5,6,3,7,4,1]=>[5,2,3,8,6,7,4,1]=>[1,4,7,6,8,3,2,5]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [8,5,3,6,1,4,2,7]=>[3,1,5,6,4,2,8,7]=>[7,8,2,4,6,5,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [8,5,6,4,1,3,2,7]=>[1,5,6,4,3,2,8,7]=>[7,8,2,3,4,6,5,1]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [7,8,5,1,4,3,2,6]=>[7,5,1,4,3,2,8,6]=>[6,8,2,3,4,1,5,7]=>[[1,2,5,7,8],[3,4],[6]]=>19 [6,7,2,8,4,3,1,5]=>[6,7,2,4,3,1,8,5]=>[5,8,1,3,4,2,7,6]=>[[1,2,5,7],[3,4],[6,8]]=>18 [6,7,3,2,8,4,1,5]=>[3,2,6,7,4,1,8,5]=>[5,8,1,4,7,6,2,3]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [4,7,8,3,1,5,2,6]=>[1,7,4,3,8,5,2,6]=>[6,2,5,8,3,4,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [4,5,8,1,3,2,6,7]=>[1,4,8,5,3,2,6,7]=>[7,6,2,3,5,8,4,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>12 [4,7,8,1,6,3,2,5]=>[1,7,4,8,6,3,2,5]=>[5,2,3,6,8,4,7,1]=>[[1,3,4,5],[2,6,7],[8]]=>17 [5,7,8,1,2,6,4,3]=>[1,5,7,8,2,6,4,3]=>[3,4,6,2,8,7,5,1]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [6,5,4,7,2,8,1,3]=>[6,5,4,2,7,1,8,3]=>[3,8,1,7,2,4,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>18 [6,2,7,3,5,8,1,4]=>[2,6,7,3,5,1,8,4]=>[4,8,1,5,3,7,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [6,2,7,5,4,8,1,3]=>[6,7,5,2,4,1,8,3]=>[3,8,1,4,2,5,7,6]=>[[1,2,6,7],[3,4,8],[5]]=>17 [4,7,1,3,8,6,5,2]=>[4,7,8,1,6,3,5,2]=>[2,5,3,6,1,8,7,4]=>[[1,2,4,6],[3,7],[5,8]]=>15 [2,6,7,4,3,8,1,5]=>[2,6,7,4,8,3,1,5]=>[5,1,3,8,4,7,6,2]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [3,7,6,4,5,8,1,2]=>[3,7,6,4,5,1,8,2]=>[2,8,1,5,4,6,7,3]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [5,7,2,8,3,4,6,1]=>[2,7,5,3,8,4,6,1]=>[1,6,4,8,3,5,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [3,7,2,8,5,6,4,1]=>[7,3,5,8,6,2,4,1]=>[1,4,2,6,8,5,3,7]=>[[1,2,4,5],[3,6,8],[7]]=>17 [4,6,1,7,8,3,2,5]=>[6,4,1,7,8,3,2,5]=>[5,2,3,8,7,1,4,6]=>[[1,3,4,8],[2,5],[6,7]]=>14 [3,6,2,8,7,4,5,1]=>[8,3,6,2,7,4,5,1]=>[1,5,4,7,2,6,3,8]=>[[1,2,4,8],[3,6],[5,7]]=>16 [2,3,8,6,7,4,5,1]=>[6,2,8,7,3,4,5,1]=>[1,5,4,3,7,8,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [2,3,8,7,4,6,5,1]=>[8,2,7,6,3,4,5,1]=>[1,5,4,3,6,7,2,8]=>[[1,2,5,6,8],[3],[4],[7]]=>15 [2,3,8,5,7,4,6,1]=>[8,7,2,5,3,4,6,1]=>[1,6,4,3,5,2,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>14 [3,5,2,8,7,4,6,1]=>[8,5,7,3,2,4,6,1]=>[1,6,4,2,3,7,5,8]=>[[1,2,5,6,8],[3,7],[4]]=>15 [2,3,8,7,6,4,5,1]=>[2,8,7,6,3,4,5,1]=>[1,5,4,3,6,7,8,2]=>[[1,2,5,6,7],[3],[4],[8]]=>16 [8,5,6,1,3,4,2,7]=>[5,1,3,6,4,2,8,7]=>[7,8,2,4,6,3,1,5]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [8,1,5,3,6,4,2,7]=>[3,5,6,4,1,2,8,7]=>[7,8,2,1,4,6,5,3]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [8,3,5,1,6,4,2,7]=>[3,5,6,1,4,2,8,7]=>[7,8,2,4,1,6,5,3]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [1,3,8,5,6,2,4,7]=>[5,8,6,1,3,2,4,7]=>[7,4,2,3,1,6,8,5]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [5,7,8,3,4,6,2,1]=>[7,3,8,5,4,6,2,1]=>[1,2,6,4,5,8,3,7]=>[[1,2,3,5,6],[4,8],[7]]=>21 [3,5,8,6,4,1,2,7]=>[5,8,6,3,1,4,2,7]=>[7,2,4,1,3,6,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>15 [1,3,5,8,6,2,4,7]=>[5,8,6,3,1,2,4,7]=>[7,4,2,1,3,6,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [7,5,3,8,6,4,2,1]=>[3,5,7,8,6,4,2,1]=>[1,2,4,6,8,7,5,3]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [5,1,3,8,6,4,2,7]=>[5,8,1,6,3,4,2,7]=>[7,2,4,3,6,1,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [5,3,8,1,6,4,2,7]=>[1,5,8,3,6,4,2,7]=>[7,2,4,6,3,8,5,1]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [7,1,8,3,6,4,2,5]=>[7,1,8,3,4,2,6,5]=>[5,6,2,4,3,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [7,8,3,6,4,1,2,5]=>[7,3,1,4,2,8,6,5]=>[5,6,8,2,4,1,3,7]=>[[1,2,3],[4,5,8],[6,7]]=>20 [7,1,3,8,6,4,2,5]=>[7,3,8,4,1,2,6,5]=>[5,6,2,1,4,8,3,7]=>[[1,2,6],[3,5,8],[4,7]]=>15 [3,7,5,8,2,6,4,1]=>[5,7,3,8,6,2,4,1]=>[1,4,2,6,8,3,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>18 [5,7,8,1,4,6,2,3]=>[1,7,5,8,4,2,6,3]=>[3,6,2,4,8,5,7,1]=>[[1,2,5,7],[3,4,6],[8]]=>18 [1,3,7,8,4,2,6,5]=>[3,7,4,8,6,1,2,5]=>[5,2,1,6,8,4,7,3]=>[[1,4,5],[2,6,7],[3,8]]=>11 [5,1,2,4,6,3,7,8]=>[5,1,2,4,6,3,7,8]=>[8,7,3,6,4,2,1,5]=>[[1,4,8],[2],[3],[5],[6],[7]]=>6 [6,1,2,5,4,3,7,8]=>[6,5,1,2,4,3,7,8]=>[8,7,3,4,2,1,5,6]=>[[1,4,7,8],[2],[3],[5],[6]]=>8 [5,1,4,6,7,3,2,8]=>[5,4,6,7,1,3,2,8]=>[8,2,3,1,7,6,4,5]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [1,4,6,5,7,2,3,8]=>[6,4,5,1,7,2,3,8]=>[8,3,2,7,1,5,4,6]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [6,7,3,5,4,1,2,8]=>[3,6,1,7,5,4,2,8]=>[8,2,4,5,7,1,6,3]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [6,2,5,7,3,1,4,8]=>[6,5,2,3,1,7,4,8]=>[8,4,7,1,3,2,5,6]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [8,2,5,6,3,4,7,1]=>[5,2,6,3,4,8,7,1]=>[1,7,8,4,3,6,2,5]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [8,7,4,3,5,1,6,2]=>[4,3,1,5,8,7,6,2]=>[2,6,7,8,5,1,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>21 [8,1,7,5,4,2,6,3]=>[1,8,2,7,5,4,6,3]=>[3,6,4,5,7,2,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>18 [1,2,6,4,7,3,5,8]=>[6,7,1,4,2,3,5,8]=>[8,5,3,2,4,1,7,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [6,3,1,7,2,4,5,8]=>[3,1,6,2,4,7,5,8]=>[8,5,7,4,2,6,1,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>10 [2,4,5,7,1,6,3,8]=>[7,4,5,2,6,1,3,8]=>[8,3,1,6,2,5,4,7]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [5,7,8,3,2,6,1,4]=>[7,5,3,8,2,1,6,4]=>[4,6,1,2,8,3,5,7]=>[[1,2,5,7,8],[3,4,6]]=>19 [5,6,8,3,2,4,7,1]=>[8,5,3,2,6,4,7,1]=>[1,7,4,6,2,3,5,8]=>[[1,2,4,7,8],[3,6],[5]]=>18 [2,3,4,6,7,8,9,5,1]=>[6,7,8,9,2,3,4,5,1]=>[1,5,4,3,2,9,8,7,6]=>[[1,2,6],[3,7],[4,8],[5,9]]=>12 [4,8,5,2,3,7,6,1]=>[4,2,5,8,7,3,6,1]=>[1,6,3,7,8,5,2,4]=>[[1,2,4,5],[3,6],[7,8]]=>17 [6,8,4,3,7,2,5,1]=>[6,4,8,3,2,7,5,1]=>[1,5,7,2,3,8,4,6]=>[[1,2,3,6,8],[4,5,7]]=>21 [6,7,4,3,8,2,1,5]=>[6,4,3,7,2,1,8,5]=>[5,8,1,2,7,3,4,6]=>[[1,2,5,7,8],[3,4],[6]]=>19 [7,4,5,1,3,8,2,6]=>[1,4,5,3,7,2,8,6]=>[6,8,2,7,3,5,4,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [8,4,5,1,3,7,6,2]=>[1,4,5,8,3,7,6,2]=>[2,6,7,3,8,5,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [8,6,5,7,3,1,4,2]=>[1,6,5,3,8,7,4,2]=>[2,4,7,8,3,5,6,1]=>[[1,2,3,4],[5,6,7],[8]]=>23 [8,5,6,7,1,3,4,2]=>[1,5,6,3,8,7,4,2]=>[2,4,7,8,3,6,5,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [6,8,5,7,3,2,4,1]=>[8,6,5,3,2,7,4,1]=>[1,4,7,2,3,5,6,8]=>[[1,2,3,6,7,8],[4,5]]=>23 [4,7,8,2,6,5,1,3]=>[4,7,8,6,2,1,5,3]=>[3,5,1,2,6,8,7,4]=>[[1,2,5,6],[3,4,7],[8]]=>19 [6,8,7,5,4,2,3,1]=>[8,6,2,7,5,4,3,1]=>[1,3,4,5,7,2,6,8]=>[[1,2,3,4,5,8],[6,7]]=>25 [7,3,1,8,6,5,2,4]=>[7,8,3,1,6,2,5,4]=>[4,5,2,6,1,3,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>17 [7,1,3,2,4,6,5,8]=>[3,7,1,2,4,6,5,8]=>[8,5,6,4,2,1,7,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [7,2,3,5,1,6,8,4]=>[2,7,3,1,5,6,8,4]=>[4,8,6,5,1,3,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [1,4,6,3,7,8,5,2]=>[6,4,7,8,3,5,1,2]=>[2,1,5,3,8,7,4,6]=>[[1,3,5,8],[2,4,6],[7]]=>11 [3,1,6,5,7,8,4,2]=>[6,5,7,8,1,3,4,2]=>[2,4,3,1,8,7,5,6]=>[[1,2,5,8],[3,6],[4,7]]=>12 [4,3,1,5,8,7,6,2]=>[8,1,4,7,3,5,6,2]=>[2,6,5,3,7,4,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [4,7,1,3,2,5,6,8]=>[4,1,3,2,7,5,6,8]=>[8,6,5,7,2,3,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [4,1,6,7,3,2,8,5]=>[4,1,6,7,3,8,2,5]=>[5,2,8,3,7,6,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [1,7,2,5,6,8,4,3]=>[5,7,6,8,1,4,2,3]=>[3,2,4,1,8,6,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>12 [3,2,1,5,8,4,7,6]=>[8,3,2,5,7,1,4,6]=>[6,4,1,7,5,2,3,8]=>[[1,4,7,8],[2,5],[3,6]]=>8 [2,1,6,5,8,4,3,7]=>[6,8,5,2,4,1,3,7]=>[7,3,1,4,2,5,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>10 [2,5,4,7,3,1,6,8]=>[5,7,4,2,3,1,6,8]=>[8,6,1,3,2,4,7,5]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [5,4,8,6,1,7,3,2]=>[5,8,4,1,6,7,3,2]=>[2,3,7,6,1,4,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>18 [3,5,4,7,1,8,6,2]=>[5,3,4,7,8,1,6,2]=>[2,6,1,8,7,4,3,5]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [3,8,2,4,5,7,1,6]=>[3,8,2,4,7,5,1,6]=>[6,1,5,7,4,2,8,3]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [6,3,2,4,1,8,5,7]=>[3,2,4,6,1,8,5,7]=>[7,5,8,1,6,4,2,3]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [7,1,5,4,2,3,6,8]=>[1,5,4,2,3,7,6,8]=>[8,6,7,3,2,4,5,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [6,4,5,1,3,8,2,7]=>[1,4,6,5,8,3,2,7]=>[7,2,3,8,5,6,4,1]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [6,1,3,8,4,5,2,7]=>[1,6,3,8,4,5,2,7]=>[7,2,5,4,8,3,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [7,3,6,4,5,1,2,8]=>[3,7,4,1,6,5,2,8]=>[8,2,5,6,1,4,7,3]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [5,8,6,3,1,2,7,4]=>[1,5,3,2,8,6,7,4]=>[4,7,6,8,2,3,5,1]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [4,1,5,7,6,3,2,8]=>[7,4,5,6,1,3,2,8]=>[8,2,3,1,6,5,4,7]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [6,3,4,2,1,8,7,5]=>[3,4,2,8,1,6,7,5]=>[5,7,6,1,8,2,4,3]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [2,5,4,1,7,8,3,6]=>[5,4,7,8,2,1,3,6]=>[6,3,1,2,8,7,4,5]=>[[1,4,5,8],[2,6],[3,7]]=>10 [3,5,4,7,8,2,1,6]=>[5,7,8,3,4,2,1,6]=>[6,1,2,4,3,8,7,5]=>[[1,3,4,6],[2,7],[5,8]]=>14 [7,1,4,5,2,8,3,6]=>[4,1,5,7,2,3,8,6]=>[6,8,3,2,7,5,1,4]=>[[1,2],[3,5],[4,6],[7,8]]=>12 [5,4,2,1,8,7,3,6]=>[2,5,8,4,1,7,3,6]=>[6,3,7,1,4,8,5,2]=>[[1,3,6],[2,5,7],[4,8]]=>13 [4,8,6,3,1,5,2,7]=>[1,8,4,3,6,5,2,7]=>[7,2,5,6,3,4,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [6,2,1,5,4,3,8,7]=>[6,2,5,1,4,8,3,7]=>[7,3,8,4,1,5,2,6]=>[[1,3,6,8],[2,4],[5,7]]=>10 [1,7,2,6,8,4,5,3]=>[7,6,1,8,4,5,2,3]=>[3,2,5,4,8,1,6,7]=>[[1,3,5,8],[2,4,7],[6]]=>13 [1,4,2,6,7,8,5,3]=>[6,7,8,1,4,5,2,3]=>[3,2,5,4,1,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>9 [1,4,2,5,6,8,7,3]=>[8,1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [1,4,6,5,7,2,8,3]=>[6,4,5,1,7,8,2,3]=>[3,2,8,7,1,5,4,6]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [2,5,3,6,7,8,4,1]=>[2,5,6,7,8,3,4,1]=>[1,4,3,8,7,6,5,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [6,4,2,7,8,3,5,1]=>[2,4,6,7,3,8,5,1]=>[1,5,8,3,7,6,4,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [1,8,6,2,4,3,5,7]=>[8,1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [6,5,8,3,1,7,2,4]=>[6,5,3,1,8,2,7,4]=>[4,7,2,8,1,3,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>18 [3,2,4,5,7,8,1,6]=>[3,7,8,2,4,5,1,6]=>[6,1,5,4,2,8,7,3]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [2,3,4,7,5,8,6,1]=>[2,7,8,3,4,5,6,1]=>[1,6,5,4,3,8,7,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [3,6,2,4,8,5,1,7]=>[3,6,2,8,4,5,1,7]=>[7,1,5,4,8,2,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [1,8,2,4,7,3,5,6]=>[8,1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [8,1,3,2,7,4,5,6]=>[8,1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [7,8,5,4,2,1,6,3]=>[2,1,7,5,4,8,6,3]=>[3,6,8,4,5,7,1,2]=>[[1,2,3,6],[4,5],[7,8]]=>21 [6,5,2,8,1,4,7,3]=>[6,2,5,1,8,4,7,3]=>[3,7,4,8,1,5,2,6]=>[[1,2,4,8],[3,6],[5,7]]=>16 [8,5,2,6,4,1,7,3]=>[5,6,2,1,4,8,7,3]=>[3,7,8,4,1,2,6,5]=>[[1,2,3],[4,6,7],[5,8]]=>18 [5,1,8,6,4,3,7,2]=>[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>16 [5,8,6,1,3,2,7,4]=>[5,1,3,2,8,6,7,4]=>[4,7,6,8,2,3,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [1,7,6,3,8,2,5,4]=>[7,6,1,3,8,5,2,4]=>[4,2,5,8,3,1,6,7]=>[[1,3,4,8],[2,5,7],[6]]=>14 [8,2,6,3,7,5,1,4]=>[2,8,6,7,3,1,5,4]=>[4,5,1,3,7,6,8,2]=>[[1,2,5,7],[3,4,6],[8]]=>18 [8,2,6,7,3,4,1,5]=>[2,8,3,6,4,1,7,5]=>[5,7,1,4,6,3,8,2]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [7,2,6,8,3,1,4,5]=>[2,7,6,3,1,4,8,5]=>[5,8,4,1,3,6,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [6,1,3,7,8,4,5,2]=>[6,7,1,3,8,4,5,2]=>[2,5,4,8,3,1,7,6]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [1,6,2,7,8,4,5,3]=>[6,7,1,8,4,5,2,3]=>[3,2,5,4,8,1,7,6]=>[[1,3,5],[2,4,7],[6,8]]=>12 [8,6,2,7,5,4,1,3]=>[6,8,7,2,1,5,4,3]=>[3,4,5,1,2,7,8,6]=>[[1,2,3,6,7],[4,5,8]]=>22 [1,6,8,2,7,5,3,4]=>[8,6,1,2,7,5,3,4]=>[4,3,5,7,2,1,6,8]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [7,6,3,2,8,1,5,4]=>[3,7,2,1,6,8,5,4]=>[4,5,8,6,1,2,7,3]=>[[1,2,3,7],[4,6,8],[5]]=>18 [5,1,7,4,3,8,6,2]=>[7,5,4,8,1,3,6,2]=>[2,6,3,1,8,4,5,7]=>[[1,2,5,7,8],[3,6],[4]]=>14 [1,7,8,6,4,2,3,5]=>[7,1,2,8,6,4,3,5]=>[5,3,4,6,8,2,1,7]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [7,2,8,6,4,1,3,5]=>[2,7,1,8,4,3,6,5]=>[5,6,3,4,8,1,7,2]=>[[1,2,5],[3,4,7],[6,8]]=>18 [7,4,2,6,5,3,1,8]=>[7,2,4,6,5,3,1,8]=>[8,1,3,5,6,4,2,7]=>[[1,3,4,5,8],[2],[6],[7]]=>16 [1,7,6,4,3,2,8,5]=>[7,6,1,4,3,8,2,5]=>[5,2,8,3,4,1,6,7]=>[[1,3,5,7,8],[2,4],[6]]=>13 [1,7,6,4,3,2,5,8]=>[7,6,1,4,3,2,5,8]=>[8,5,2,3,4,1,6,7]=>[[1,4,5,7,8],[2],[3],[6]]=>12 [7,4,3,6,2,5,1,8]=>[4,7,3,2,6,5,1,8]=>[8,1,5,6,2,3,7,4]=>[[1,3,4,7],[2,6,8],[5]]=>16 [1,2,7,4,3,8,6,5]=>[1,7,8,4,6,2,3,5]=>[5,3,2,6,4,8,7,1]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [1,7,6,3,5,2,4,8]=>[7,6,1,5,3,2,4,8]=>[8,4,2,3,5,1,6,7]=>[[1,4,5,7,8],[2],[3],[6]]=>12 [1,5,4,7,3,2,8,6]=>[5,7,4,3,8,1,2,6]=>[6,2,1,8,3,4,7,5]=>[[1,4,6,7],[2,5],[3,8]]=>10 [1,2,7,4,3,6,5,8]=>[1,7,4,6,2,3,5,8]=>[8,5,3,2,6,4,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [1,5,3,2,4,6,7,8]=>[5,1,3,2,4,6,7,8]=>[8,7,6,4,2,3,1,5]=>[[1,6,8],[2],[3],[4],[5],[7]]=>4 [1,5,3,7,6,2,4,8]=>[7,5,6,1,3,2,4,8]=>[8,4,2,3,1,6,5,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [1,2,7,5,3,6,8,4]=>[1,5,7,6,8,2,3,4]=>[4,3,2,8,6,7,5,1]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [1,5,4,2,3,7,8,6]=>[1,5,4,7,8,2,3,6]=>[6,3,2,8,7,4,5,1]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [4,3,7,2,8,1,6,5]=>[7,4,8,3,2,6,1,5]=>[5,1,6,2,3,8,4,7]=>[[1,3,5,6,8],[2,4,7]]=>14 [7,5,6,1,3,2,8,4]=>[5,1,3,2,7,6,8,4]=>[4,8,6,7,2,3,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [7,4,5,1,6,3,8,2]=>[1,4,5,7,6,3,8,2]=>[2,8,3,6,7,5,4,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>16 [4,2,7,6,8,3,5,1]=>[7,4,6,2,8,3,5,1]=>[1,5,3,8,2,6,4,7]=>[[1,2,4,8],[3,6],[5,7]]=>16 [4,2,8,3,6,5,7,1]=>[2,4,8,6,3,5,7,1]=>[1,7,5,3,6,8,4,2]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [8,1,4,3,5,2,7,6]=>[4,3,5,8,1,2,7,6]=>[6,7,2,1,8,5,3,4]=>[[1,2,5],[3,6,8],[4,7]]=>12 [6,4,8,5,7,1,3,2]=>[6,4,1,8,5,7,3,2]=>[2,3,7,5,8,1,4,6]=>[[1,2,3,5],[4,7,8],[6]]=>20 [5,3,4,1,6,2,8,7]=>[3,1,5,4,6,8,2,7]=>[7,2,8,6,4,5,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [6,5,7,3,4,1,8,2]=>[6,5,3,1,7,4,8,2]=>[2,8,4,7,1,3,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>18 [7,5,6,1,8,2,4,3]=>[5,1,2,7,6,8,4,3]=>[3,4,8,6,7,2,1,5]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [7,3,6,1,8,2,5,4]=>[3,1,7,6,8,2,5,4]=>[4,5,2,8,6,7,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>16 [7,2,8,1,6,3,5,4]=>[7,2,8,1,6,3,5,4]=>[4,5,3,6,1,8,2,7]=>[[1,2,4,6],[3,7,8],[5]]=>16 [5,8,4,1,2,6,3,7]=>[1,2,5,4,8,6,3,7]=>[7,3,6,8,4,5,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [6,4,7,1,2,8,3,5]=>[1,4,2,6,7,3,8,5]=>[5,8,3,7,6,2,4,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>14 [3,7,4,8,2,5,6,1]=>[7,3,4,2,8,5,6,1]=>[1,6,5,8,2,4,3,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [8,3,4,5,1,6,2,7]=>[3,4,1,5,6,2,8,7]=>[7,8,2,6,5,1,4,3]=>[[1,2],[3,4],[5,7],[6],[8]]=>14 [8,4,1,2,3,6,5,7]=>[1,2,4,6,3,5,8,7]=>[7,8,5,3,6,4,2,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>11 [8,3,6,5,4,1,2,7]=>[6,5,3,1,4,2,8,7]=>[7,8,2,4,1,3,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>18 [8,2,5,6,4,1,3,7]=>[5,6,4,2,1,3,8,7]=>[7,8,3,1,2,4,6,5]=>[[1,2,6,7],[3,5],[4,8]]=>16 [3,8,2,6,4,7,5,1]=>[3,2,8,6,7,4,5,1]=>[1,5,4,7,6,8,2,3]=>[[1,2,4,6],[3,5],[7,8]]=>16 [1,2,5,7,4,8,3,6]=>[7,5,8,4,1,2,3,6]=>[6,3,2,1,4,8,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [4,7,1,5,3,6,8,2]=>[4,7,1,5,3,6,8,2]=>[2,8,6,3,5,1,7,4]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [1,8,3,4,7,5,6,2]=>[3,8,4,5,7,6,1,2]=>[2,1,6,7,5,4,8,3]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [6,1,4,7,3,5,8,2]=>[6,7,1,4,3,5,8,2]=>[2,8,5,3,4,1,7,6]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [5,8,6,2,7,3,4,1]=>[2,5,8,6,3,7,4,1]=>[1,4,7,3,6,8,5,2]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [6,5,8,3,2,7,4,1]=>[6,5,3,8,2,7,4,1]=>[1,4,7,2,8,3,5,6]=>[[1,2,3,5,8],[4,6,7]]=>20 [6,5,7,1,2,8,3,4]=>[1,2,6,5,7,3,8,4]=>[4,8,3,7,5,6,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [6,2,4,7,8,3,5,1]=>[4,6,7,2,3,8,5,1]=>[1,5,8,3,2,7,6,4]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [1,7,2,6,5,3,8,4]=>[1,7,6,2,5,8,3,4]=>[4,3,8,5,2,6,7,1]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [4,2,6,7,1,8,5,3]=>[6,2,4,7,8,1,5,3]=>[3,5,1,8,7,4,2,6]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [2,7,1,6,3,8,5,4]=>[2,7,6,8,1,5,3,4]=>[4,3,5,1,8,6,7,2]=>[[1,3,5,7],[2,6],[4,8]]=>12 [1,6,2,4,5,7,8,3]=>[1,6,4,5,7,8,2,3]=>[3,2,8,7,5,4,6,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [8,6,5,2,4,1,7,3]=>[6,2,1,5,4,8,7,3]=>[3,7,8,4,5,1,2,6]=>[[1,2,3,8],[4,5],[6,7]]=>20 [7,1,6,4,2,5,8,3]=>[1,2,7,6,4,5,8,3]=>[3,8,5,4,6,7,2,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>14 [1,7,6,5,3,4,8,2]=>[3,7,6,5,4,8,1,2]=>[2,1,8,4,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>15 [8,1,6,4,5,3,7,2]=>[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[[1,2,4,6,7],[3],[5],[8]]=>17 [7,4,8,5,3,6,2,1]=>[7,4,5,3,8,6,2,1]=>[1,2,6,8,3,5,4,7]=>[[1,2,3,4,8],[5,6],[7]]=>22 [6,7,5,2,4,3,1,8]=>[2,6,7,5,4,3,1,8]=>[8,1,3,4,5,7,6,2]=>[[1,3,4,5,6],[2],[7],[8]]=>18 [4,3,8,6,7,5,2,1]=>[4,8,6,7,3,5,2,1]=>[1,2,5,3,7,6,8,4]=>[[1,2,3,5,7],[4,6],[8]]=>19 [3,6,5,2,4,1,7,8]=>[6,5,3,2,4,1,7,8]=>[8,7,1,4,2,3,5,6]=>[[1,4,6,7,8],[2],[3],[5]]=>11 [8,6,5,2,4,3,1,7]=>[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[[1,2,5,6,8],[3,4],[7]]=>20 [6,8,5,2,4,3,1,7]=>[8,2,6,5,4,3,1,7]=>[7,1,3,4,5,6,2,8]=>[[1,3,4,5,6,8],[2],[7]]=>19 [4,7,2,5,6,1,8,3]=>[7,4,2,5,1,6,8,3]=>[3,8,6,1,5,2,4,7]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [3,8,1,6,5,2,4,7]=>[8,3,1,6,2,5,4,7]=>[7,4,5,2,6,1,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [3,8,5,2,4,1,6,7]=>[5,3,2,4,1,8,6,7]=>[7,6,8,1,4,2,3,5]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [7,5,2,4,3,1,8,6]=>[5,2,4,3,1,7,8,6]=>[6,8,7,1,3,4,2,5]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [3,7,4,1,6,2,5,8]=>[3,4,1,7,6,2,5,8]=>[8,5,2,6,7,1,4,3]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [3,6,2,5,1,8,7,4]=>[3,6,5,8,2,7,1,4]=>[4,1,7,2,8,5,6,3]=>[[1,3,5,7],[2,4,6],[8]]=>12 [3,4,2,7,6,1,5,8]=>[7,3,4,6,2,1,5,8]=>[8,5,1,2,6,4,3,7]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [3,4,2,8,1,5,7,6]=>[3,8,4,2,7,1,5,6]=>[6,5,1,7,2,4,8,3]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [3,4,2,7,8,1,5,6]=>[7,8,3,4,2,1,5,6]=>[6,5,1,2,4,3,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [3,4,2,6,1,5,7,8]=>[3,4,6,2,1,5,7,8]=>[8,7,5,1,2,6,4,3]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [3,6,2,5,1,8,4,7]=>[3,6,5,8,2,1,4,7]=>[7,4,1,2,8,5,6,3]=>[[1,4,5,7],[2,6],[3,8]]=>11 [8,3,4,7,2,5,1,6]=>[3,8,4,2,5,1,7,6]=>[6,7,1,5,2,4,8,3]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [3,8,5,2,4,7,1,6]=>[3,2,8,5,7,4,1,6]=>[6,1,4,7,5,8,2,3]=>[[1,3,4,6],[2,5],[7,8]]=>15 [7,3,4,6,5,8,1,2]=>[7,3,4,6,5,1,8,2]=>[2,8,1,5,6,4,3,7]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [3,4,6,7,2,1,8,5]=>[6,7,3,4,2,8,1,5]=>[5,1,8,2,4,3,7,6]=>[[1,3,5,7],[2,4],[6,8]]=>12 [5,7,1,8,6,4,3,2]=>[7,8,5,6,1,4,3,2]=>[2,3,4,1,6,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>19 [6,1,8,5,2,4,7,3]=>[8,1,6,5,2,4,7,3]=>[3,7,4,2,5,6,1,8]=>[[1,2,5,6,8],[3],[4],[7]]=>15 [7,8,5,1,2,4,3,6]=>[7,1,2,5,4,3,8,6]=>[6,8,3,4,5,2,1,7]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [3,6,1,2,5,4,8,7]=>[1,3,6,5,8,2,4,7]=>[7,4,2,8,5,6,3,1]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [5,8,1,4,3,6,7,2]=>[8,1,5,4,3,6,7,2]=>[2,7,6,3,4,5,1,8]=>[[1,2,5,6,8],[3],[4],[7]]=>15 [1,7,3,4,6,8,2,5]=>[7,1,6,8,3,4,2,5]=>[5,2,4,3,8,6,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [7,2,3,8,6,4,1,5]=>[7,2,8,3,4,1,6,5]=>[5,6,1,4,3,8,2,7]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [6,5,8,2,1,4,3,7]=>[2,1,6,8,5,4,3,7]=>[7,3,4,5,8,6,1,2]=>[[1,3,4,5],[2,6],[7,8]]=>16 [5,8,6,3,2,4,1,7]=>[5,3,2,8,6,4,1,7]=>[7,1,4,6,8,2,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>18 [4,6,2,7,8,1,3,5]=>[6,4,7,2,1,8,3,5]=>[5,3,8,1,2,7,4,6]=>[[1,3,6,8],[2,5],[4,7]]=>14 [8,6,3,2,1,7,5,4]=>[3,8,2,1,6,7,5,4]=>[4,5,7,6,1,2,8,3]=>[[1,2,3,7],[4,6,8],[5]]=>18 [8,6,4,9,7,5,3,2,1]=>[4,6,8,9,7,5,3,2,1]=>[1,2,3,5,7,9,8,6,4]=>[[1,2,3,4,5,6],[7],[8],[9]]=>30 [8,6,4,2,9,7,5,3,1]=>[2,4,6,8,9,7,5,3,1]=>[1,3,5,7,9,8,6,4,2]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>26 [9,7,10,8,6,5,4,3,2,1]=>[7,9,10,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,10,9,7]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>42 [9,7,5,10,8,6,4,3,2,1]=>[5,7,9,10,8,6,4,3,2,1]=>[1,2,3,4,6,8,10,9,7,5]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>39 [9,7,5,3,10,8,6,4,2,1]=>[3,5,7,9,10,8,6,4,2,1]=>[1,2,4,6,8,10,9,7,5,3]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>35 [6,7,3,5,8,4,1,2]=>[3,6,7,5,1,8,4,2]=>[2,4,8,1,5,7,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [7,5,8,2,3,1,6,4]=>[2,5,3,1,7,8,6,4]=>[4,6,8,7,1,3,5,2]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [6,8,1,4,3,2,5,7]=>[4,3,1,2,8,6,5,7]=>[7,5,6,8,2,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [6,1,3,4,2,5,8,7]=>[3,4,1,2,6,8,5,7]=>[7,5,8,6,2,1,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>8 [5,1,3,6,2,4,8,7]=>[3,5,1,2,6,8,4,7]=>[7,4,8,6,2,1,5,3]=>[[1,3],[2,4],[5,7],[6,8]]=>8 [7,8,4,2,3,1,6,5]=>[2,4,3,1,7,8,6,5]=>[5,6,8,7,1,3,4,2]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [8,6,3,4,2,1,7,5]=>[3,4,2,1,6,8,7,5]=>[5,7,8,6,1,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [1,5,7,6,8,2,4,3]=>[7,5,1,6,8,4,2,3]=>[3,2,4,8,6,1,5,7]=>[[1,3,4,8],[2,5],[6,7]]=>14 [5,7,1,3,8,4,2,6]=>[7,5,1,3,8,4,2,6]=>[6,2,4,8,3,1,5,7]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [2,6,1,4,3,7,8,5]=>[2,6,1,4,7,8,3,5]=>[5,3,8,7,4,1,6,2]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [1,6,2,4,3,5,8,7]=>[6,1,2,4,8,3,5,7]=>[7,5,3,8,4,2,1,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [1,7,6,3,8,5,4,2]=>[7,3,6,8,5,4,1,2]=>[2,1,4,5,8,6,3,7]=>[[1,3,4,5,8],[2,6],[7]]=>16 [5,3,7,6,1,8,4,2]=>[3,5,7,1,6,8,4,2]=>[2,4,8,6,1,7,5,3]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [1,5,7,6,3,8,4,2]=>[7,5,3,6,8,4,1,2]=>[2,1,4,8,6,3,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>14 [7,3,5,6,1,8,4,2]=>[3,1,7,5,6,8,4,2]=>[2,4,8,6,5,7,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [7,3,6,1,5,8,4,2]=>[7,3,6,1,5,8,4,2]=>[2,4,8,5,1,6,3,7]=>[[1,2,3,6,8],[4,7],[5]]=>17 [1,7,8,6,3,5,4,2]=>[3,7,8,6,5,4,1,2]=>[2,1,4,5,6,8,7,3]=>[[1,3,4,5,6],[2,7],[8]]=>18 [3,6,1,7,5,8,4,2]=>[6,7,3,5,8,1,4,2]=>[2,4,1,8,5,3,7,6]=>[[1,2,4,7],[3,5,8],[6]]=>14 [3,7,5,6,1,8,4,2]=>[5,3,7,6,8,1,4,2]=>[2,4,1,8,6,7,3,5]=>[[1,2,4,6],[3,5,8],[7]]=>16 [7,4,5,1,8,3,2,6]=>[1,4,5,7,3,2,8,6]=>[6,8,2,3,7,5,4,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [7,2,1,8,5,4,3,6]=>[7,5,2,4,1,3,8,6]=>[6,8,3,1,4,2,5,7]=>[[1,2,7,8],[3,5],[4,6]]=>14 [2,7,3,4,6,8,1,5]=>[7,2,3,6,8,4,1,5]=>[5,1,4,8,6,3,2,7]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [5,6,8,2,3,7,4,1]=>[5,2,6,8,3,7,4,1]=>[1,4,7,3,8,6,2,5]=>[[1,2,3,5],[4,6],[7,8]]=>18 [2,7,1,8,6,4,3,5]=>[7,2,8,6,1,4,3,5]=>[5,3,4,1,6,8,2,7]=>[[1,3,5,6],[2,7,8],[4]]=>14 [8,4,5,7,1,2,6,3]=>[4,1,5,8,2,7,6,3]=>[3,6,7,2,8,5,1,4]=>[[1,2,3,5],[4,6],[7,8]]=>18 [8,3,1,5,7,4,6,2]=>[8,5,1,3,4,7,6,2]=>[2,6,7,4,3,1,5,8]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [8,1,3,4,7,5,6,2]=>[1,8,3,4,7,5,6,2]=>[2,6,5,7,4,3,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>14 [1,4,5,7,8,6,2,3]=>[7,8,4,5,1,6,2,3]=>[3,2,6,1,5,4,8,7]=>[[1,3,7],[2,5,8],[4,6]]=>12 [2,4,5,8,6,7,3,1]=>[4,8,5,6,7,2,3,1]=>[1,3,2,7,6,5,8,4]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [5,7,6,3,4,8,1,2]=>[7,5,3,6,4,1,8,2]=>[2,8,1,4,6,3,5,7]=>[[1,2,5,8],[3,4,7],[6]]=>19 [3,7,5,4,6,1,2,8]=>[7,3,5,4,1,6,2,8]=>[8,2,6,1,4,5,3,7]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [5,3,7,4,6,1,2,8]=>[5,3,7,4,1,6,2,8]=>[8,2,6,1,4,7,3,5]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [7,3,5,4,1,2,6,8]=>[5,3,1,4,2,7,6,8]=>[8,6,7,2,4,1,3,5]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [3,5,4,1,2,7,6,8]=>[5,3,1,4,7,2,6,8]=>[8,6,2,7,4,1,3,5]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [5,7,6,1,3,2,4,8]=>[7,1,5,3,2,6,4,8]=>[8,4,6,2,3,5,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [5,3,4,1,2,7,6,8]=>[3,1,5,4,7,2,6,8]=>[8,6,2,7,4,5,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [7,8,5,1,3,2,4,6]=>[3,1,2,7,5,4,8,6]=>[6,8,4,5,7,2,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [7,5,6,1,3,2,4,8]=>[5,1,3,2,7,6,4,8]=>[8,4,6,7,2,3,1,5]=>[[1,3,4],[2,6,8],[5],[7]]=>15 [7,8,5,1,3,6,2,4]=>[1,7,3,5,2,8,6,4]=>[4,6,8,2,5,3,7,1]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [3,5,4,1,7,6,2,8]=>[5,3,7,1,4,6,2,8]=>[8,2,6,4,1,7,3,5]=>[[1,3,6],[2,7,8],[4],[5]]=>10 [7,5,1,3,8,6,2,4]=>[3,5,7,1,2,8,6,4]=>[4,6,8,2,1,7,5,3]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [7,1,3,8,2,5,4,6]=>[3,7,5,1,2,4,8,6]=>[6,8,4,2,1,5,7,3]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [7,5,8,6,1,3,2,4]=>[1,5,7,3,2,8,6,4]=>[4,6,8,2,3,7,5,1]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [5,7,6,8,3,1,4,2]=>[7,5,1,6,3,8,4,2]=>[2,4,8,3,6,1,5,7]=>[[1,2,3,8],[4,5],[6,7]]=>20 [3,1,5,4,7,2,6,8]=>[5,7,1,3,4,2,6,8]=>[8,6,2,4,3,1,7,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [5,7,6,1,3,8,2,4]=>[5,1,7,3,6,2,8,4]=>[4,8,2,6,3,7,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [5,7,6,3,8,1,4,2]=>[7,5,3,1,6,8,4,2]=>[2,4,8,6,1,3,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>19 [3,1,5,7,4,2,6,8]=>[7,5,1,3,4,2,6,8]=>[8,6,2,4,3,1,5,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>8 [7,1,6,8,2,3,5,4]=>[1,2,7,6,8,3,5,4]=>[4,5,3,8,6,7,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [1,6,3,7,2,4,5,8]=>[6,3,1,2,7,4,5,8]=>[8,5,4,7,2,1,3,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [1,7,3,4,5,2,6,8]=>[1,3,7,4,5,2,6,8]=>[8,6,2,5,4,7,3,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>8 [1,6,7,5,4,2,3,8]=>[6,1,7,5,4,2,3,8]=>[8,3,2,4,5,7,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [4,2,1,8,7,5,3,6]=>[2,8,4,7,1,5,3,6]=>[6,3,5,1,7,4,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [8,2,5,1,7,4,6,3]=>[8,2,7,1,5,4,6,3]=>[3,6,4,5,1,7,2,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [5,1,4,8,2,3,6,7]=>[5,1,2,8,4,3,6,7]=>[7,6,3,4,8,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [4,2,8,5,3,1,6,7]=>[2,4,8,5,3,1,6,7]=>[7,6,1,3,5,8,4,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>12 [6,8,5,3,2,7,1,4]=>[3,2,8,6,5,1,7,4]=>[4,7,1,5,6,8,2,3]=>[[1,2,5,6],[3,4,8],[7]]=>20 [8,3,7,2,6,5,1,4]=>[8,3,7,6,2,1,5,4]=>[4,5,1,2,6,7,3,8]=>[[1,2,5,6,8],[3,4,7]]=>20 [4,6,2,7,1,3,8,5]=>[6,4,2,1,7,8,3,5]=>[5,3,8,7,1,2,4,6]=>[[1,3,7,8],[2,4],[5,6]]=>12 [8,2,4,5,6,7,1,3]=>[2,4,5,8,6,1,7,3]=>[3,7,1,6,8,5,4,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [3,4,6,5,1,8,7,2]=>[6,3,4,8,1,5,7,2]=>[2,7,5,1,8,4,3,6]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [8,7,1,5,3,2,6,4]=>[3,1,2,8,5,7,6,4]=>[4,6,7,5,8,2,1,3]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [3,5,1,4,7,2,8,6]=>[3,5,7,1,4,8,2,6]=>[6,2,8,4,1,7,5,3]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [7,1,4,8,5,3,2,6]=>[7,4,5,3,1,2,8,6]=>[6,8,2,1,3,5,4,7]=>[[1,2,6,8],[3,5],[4,7]]=>15 [5,2,8,7,3,1,4,6]=>[2,8,5,3,1,7,4,6]=>[6,4,7,1,3,5,8,2]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [2,1,4,3,6,5,9,7,8]=>[9,2,4,6,1,3,5,7,8]=>[8,7,5,3,1,6,4,2,9]=>[[1,6,9],[2,7],[3,8],[4],[5]]=>5 [2,1,4,3,6,5,8,10,7,9]=>[10,2,4,6,8,1,3,5,7,9]=>[9,7,5,3,1,8,6,4,2,10]=>[[1,6,10],[2,7],[3,8],[4,9],[5]]=>6 [6,1,3,4,5,2,8,7]=>[1,3,6,4,5,8,2,7]=>[7,2,8,5,4,6,3,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [6,1,3,4,2,7,8,5]=>[3,4,1,2,6,7,8,5]=>[5,8,7,6,2,1,4,3]=>[[1,2],[3,7],[4,8],[5],[6]]=>9 [6,5,2,3,1,4,8,7]=>[2,3,1,6,5,8,4,7]=>[7,4,8,5,6,1,3,2]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [6,5,2,3,7,8,1,4]=>[2,3,6,5,7,1,8,4]=>[4,8,1,7,5,6,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [7,4,2,6,3,8,1,5]=>[4,2,7,3,6,1,8,5]=>[5,8,1,6,3,7,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [8,5,2,7,3,4,1,6]=>[2,5,3,8,4,1,7,6]=>[6,7,1,4,8,3,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [5,4,2,1,8,3,7,6]=>[2,5,4,8,1,7,3,6]=>[6,3,7,1,8,4,5,2]=>[[1,3,5],[2,6,7],[4,8]]=>12 [1,5,3,7,8,2,6,4]=>[7,8,5,1,3,6,2,4]=>[4,2,6,3,1,5,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>11 [3,1,6,4,2,7,8,5]=>[3,6,1,4,7,8,2,5]=>[5,2,8,7,4,1,6,3]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [3,1,7,4,2,6,8,5]=>[7,3,1,4,6,8,2,5]=>[5,2,8,6,4,1,3,7]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [3,1,6,8,4,2,7,5]=>[6,8,3,1,4,7,2,5]=>[5,2,7,4,1,3,8,6]=>[[1,3,7],[2,4,8],[5,6]]=>11 [3,7,5,6,2,8,1,4]=>[5,7,6,3,8,2,1,4]=>[4,1,2,8,3,6,7,5]=>[[1,3,4,6,7],[2,5],[8]]=>16 [8,4,5,1,3,6,7,2]=>[1,4,5,3,6,8,7,2]=>[2,7,8,6,3,5,4,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [8,1,6,2,4,5,7,3]=>[1,8,2,4,6,5,7,3]=>[3,7,5,6,4,2,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>14 [1,5,6,8,3,2,7,4]=>[5,6,1,8,3,7,2,4]=>[4,2,7,3,8,1,6,5]=>[[1,3,5],[2,4,7],[6,8]]=>12 [6,2,4,7,3,5,1,8]=>[4,6,2,3,7,5,1,8]=>[8,1,5,7,3,2,6,4]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [1,4,8,5,3,6,7,2]=>[4,5,3,8,6,7,1,2]=>[2,1,7,6,8,3,5,4]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [4,8,5,1,2,6,7,3]=>[1,4,2,5,8,6,7,3]=>[3,7,6,8,5,2,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [6,1,4,7,3,8,2,5]=>[4,6,3,7,1,2,8,5]=>[5,8,2,1,7,3,6,4]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [6,7,5,1,3,8,2,4]=>[6,1,3,7,5,2,8,4]=>[4,8,2,5,7,3,1,6]=>[[1,2,5],[3,4,8],[6],[7]]=>17 [8,5,1,3,6,7,2,4]=>[3,5,6,1,2,8,7,4]=>[4,7,8,2,1,6,5,3]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [7,8,6,2,4,1,3,5]=>[7,2,1,4,3,8,6,5]=>[5,6,8,3,4,1,2,7]=>[[1,2,3],[4,5,8],[6,7]]=>20 [8,2,4,1,3,6,7,5]=>[4,8,2,1,3,6,7,5]=>[5,7,6,3,1,2,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [8,1,3,6,2,5,7,4]=>[1,8,3,6,2,5,7,4]=>[4,7,5,2,6,3,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [1,5,6,3,8,4,7,2]=>[5,6,3,8,4,7,1,2]=>[2,1,7,4,8,3,6,5]=>[[1,3,5],[2,4,7],[6,8]]=>12 [5,6,1,3,7,2,8,4]=>[5,1,3,6,2,7,8,4]=>[4,8,7,2,6,3,1,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [5,6,1,8,2,3,7,4]=>[5,1,2,6,8,3,7,4]=>[4,7,3,8,6,2,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [3,7,8,6,4,1,2,5]=>[7,3,1,8,6,4,2,5]=>[5,2,4,6,8,1,3,7]=>[[1,3,4,5],[2,7,8],[6]]=>18 [3,7,5,8,6,4,2,1]=>[5,7,8,6,3,4,2,1]=>[1,2,4,3,6,8,7,5]=>[[1,2,3,5,6],[4,7],[8]]=>20 [1,7,3,8,6,4,2,5]=>[7,1,8,6,3,4,2,5]=>[5,2,4,3,6,8,1,7]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [5,7,1,8,6,4,2,3]=>[7,8,5,1,2,6,4,3]=>[3,4,6,2,1,5,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>18 [7,8,1,5,6,4,2,3]=>[1,7,8,5,2,6,4,3]=>[3,4,6,2,5,8,7,1]=>[[1,2,3,6],[4,5,7],[8]]=>20 [7,8,3,5,6,4,2,1]=>[7,3,5,8,6,4,2,1]=>[1,2,4,6,8,5,3,7]=>[[1,2,3,4,5],[6,8],[7]]=>23 [7,1,8,5,6,4,2,3]=>[7,5,1,8,6,2,4,3]=>[3,4,2,6,8,1,5,7]=>[[1,2,4,5],[3,7,8],[6]]=>19 [3,1,8,5,6,4,2,7]=>[3,8,5,6,1,4,2,7]=>[7,2,4,1,6,5,8,3]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [8,3,1,5,6,4,2,7]=>[5,6,1,3,4,2,8,7]=>[7,8,2,4,3,1,6,5]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [8,1,3,5,6,4,2,7]=>[5,6,3,4,1,2,8,7]=>[7,8,2,1,4,3,6,5]=>[[1,2,7],[3,5,8],[4,6]]=>13 [1,8,3,5,6,4,2,7]=>[1,8,5,6,3,4,2,7]=>[7,2,4,3,6,5,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [1,5,7,8,6,4,2,3]=>[7,8,5,1,6,4,2,3]=>[3,2,4,6,1,5,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>16 [2,7,8,4,1,3,5,6]=>[7,2,1,4,3,8,5,6]=>[6,5,8,3,4,1,2,7]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [6,8,1,2,3,7,4,5]=>[6,1,2,3,8,4,7,5]=>[5,7,4,8,3,2,1,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [8,1,5,4,2,3,7,6]=>[1,5,4,8,2,3,7,6]=>[6,7,3,2,8,4,5,1]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [7,5,2,3,1,8,4,6]=>[2,3,1,5,7,4,8,6]=>[6,8,4,7,5,1,3,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>14 [2,7,3,5,8,4,1,6]=>[7,8,2,3,5,4,1,6]=>[6,1,4,5,3,2,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [5,2,7,3,4,8,1,6]=>[2,5,3,7,8,4,1,6]=>[6,1,4,8,7,3,5,2]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [3,6,8,7,1,2,4,5]=>[1,8,6,3,2,7,4,5]=>[5,4,7,2,3,6,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [4,3,1,5,6,7,2,8]=>[1,4,3,5,6,7,2,8]=>[8,2,7,6,5,3,4,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>8 [4,5,8,2,6,3,7,1]=>[4,2,8,5,6,3,7,1]=>[1,7,3,6,5,8,2,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [2,7,5,4,1,3,6,8]=>[7,5,2,1,4,3,6,8]=>[8,6,3,4,1,2,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [2,7,4,6,5,1,8,3]=>[7,4,6,5,2,8,1,3]=>[3,1,8,2,5,6,4,7]=>[[1,3,5,6,8],[2,4],[7]]=>14 [2,3,7,4,5,1,6,8]=>[2,3,7,4,5,1,6,8]=>[8,6,1,5,4,7,3,2]=>[[1,4,6],[2],[3],[5],[7],[8]]=>8 [6,8,7,5,2,1,4,3]=>[6,2,8,1,7,5,4,3]=>[3,4,5,7,1,8,2,6]=>[[1,2,3,4,6],[5,7,8]]=>22 [7,8,2,6,3,1,4,5]=>[2,7,3,1,4,8,6,5]=>[5,6,8,4,1,3,7,2]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [7,8,6,4,1,5,2,3]=>[7,1,4,2,8,6,5,3]=>[3,5,6,8,2,4,1,7]=>[[1,2,3,4],[5,6,8],[7]]=>22 [2,7,6,5,3,4,1,8]=>[2,7,6,5,3,4,1,8]=>[8,1,4,3,5,6,7,2]=>[[1,3,5,6,7],[2],[4],[8]]=>15 [1,5,8,7,6,3,4,2]=>[8,7,5,3,6,4,1,2]=>[2,1,4,6,3,5,7,8]=>[[1,3,4,7,8],[2,5,6]]=>17 [1,4,6,8,5,3,2,7]=>[8,6,4,5,3,1,2,7]=>[7,2,1,3,5,4,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>12 [1,4,7,8,5,6,3,2]=>[7,4,8,5,6,3,1,2]=>[2,1,3,6,5,8,4,7]=>[[1,3,4,6],[2,5,8],[7]]=>15 [1,2,5,8,6,4,7,3]=>[5,8,6,4,7,1,2,3]=>[3,2,1,7,4,6,8,5]=>[[1,4,6,7],[2,5],[3,8]]=>10 [1,4,8,5,6,3,2,7]=>[4,5,8,6,3,1,2,7]=>[7,2,1,3,6,8,5,4]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [1,6,4,8,5,7,3,2]=>[6,4,8,5,7,3,1,2]=>[2,1,3,7,5,8,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>15 [1,6,8,5,2,7,3,4]=>[8,1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [1,6,8,5,4,2,3,7]=>[1,8,6,5,4,2,3,7]=>[7,3,2,4,5,6,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>14 [1,6,3,2,4,5,8,7]=>[3,1,2,6,8,4,5,7]=>[7,5,4,8,6,2,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>6 [1,2,8,6,5,3,4,7]=>[1,8,6,2,5,3,4,7]=>[7,4,3,5,2,6,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>10 [1,3,6,7,2,8,5,4]=>[6,3,7,8,5,1,2,4]=>[4,2,1,5,8,7,3,6]=>[[1,4,5],[2,6,8],[3,7]]=>10 [1,8,5,2,6,7,3,4]=>[5,6,1,2,8,7,3,4]=>[4,3,7,8,2,1,6,5]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [1,3,4,8,5,2,7,6]=>[3,4,8,5,7,1,2,6]=>[6,2,1,7,5,8,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [1,3,8,5,2,4,7,6]=>[8,1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [3,5,8,7,6,2,4,1]=>[8,7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7,8]=>[[1,2,4,5,7,8],[3,6]]=>19 [3,1,6,4,2,5,8,7]=>[3,6,1,4,8,2,5,7]=>[7,5,2,8,4,1,6,3]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [3,6,1,4,5,7,8,2]=>[6,3,1,4,5,7,8,2]=>[2,8,7,5,4,1,3,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [5,4,2,3,6,8,1,7]=>[2,5,4,8,3,6,1,7]=>[7,1,6,3,8,4,5,2]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [3,8,1,6,4,2,5,7]=>[3,8,1,4,2,6,5,7]=>[7,5,6,2,4,1,8,3]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [8,7,2,4,1,3,6,5]=>[4,2,8,1,3,7,6,5]=>[5,6,7,3,1,8,2,4]=>[[1,2,3,6],[4,7,8],[5]]=>17 [8,2,6,3,5,7,1,4]=>[8,2,3,6,5,1,7,4]=>[4,7,1,5,6,3,2,8]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [3,1,7,8,6,2,5,4]=>[7,3,8,6,1,5,2,4]=>[4,2,5,1,6,8,3,7]=>[[1,3,5,6],[2,7,8],[4]]=>14 [2,1,5,7,6,3,8,4]=>[7,5,6,2,8,1,3,4]=>[4,3,1,8,2,6,5,7]=>[[1,4,6,8],[2,5],[3,7]]=>9 [4,1,2,5,7,6,8,3]=>[7,1,2,4,5,6,8,3]=>[3,8,6,5,4,2,1,7]=>[[1,2,8],[3],[4],[5],[6],[7]]=>8 [4,3,5,1,7,8,6,2]=>[4,3,7,8,1,5,6,2]=>[2,6,5,1,8,7,3,4]=>[[1,2,5],[3,6,8],[4,7]]=>12 [1,8,5,2,3,4,7,6]=>[1,2,3,8,5,7,4,6]=>[6,4,7,5,8,3,2,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [1,5,8,2,3,4,7,6]=>[1,2,5,8,7,3,4,6]=>[6,4,3,7,8,5,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [1,2,7,8,4,5,6,3]=>[4,7,5,8,6,1,2,3]=>[3,2,1,6,8,5,7,4]=>[[1,4,5],[2,6,7],[3,8]]=>11 [7,9,1,2,3,4,5,8,6]=>[1,2,3,4,7,9,5,8,6]=>[6,8,5,9,7,4,3,2,1]=>[[1,2,4],[3,5],[6],[7],[8],[9]]=>14 [4,3,8,7,6,2,5,1]=>[8,7,4,6,3,2,5,1]=>[1,5,2,3,6,4,7,8]=>[[1,2,4,5,7,8],[3,6]]=>19 [5,4,8,2,7,6,3,1]=>[5,8,4,7,2,6,3,1]=>[1,3,6,2,7,4,8,5]=>[[1,2,3,5,7],[4,6,8]]=>19 [2,3,6,4,1,7,5,8]=>[2,6,3,4,7,1,5,8]=>[8,5,1,7,4,3,6,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [2,3,7,1,5,8,4,6]=>[2,3,7,8,5,1,4,6]=>[6,4,1,5,8,7,3,2]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [2,3,6,5,1,7,4,8]=>[6,5,2,3,7,1,4,8]=>[8,4,1,7,3,2,5,6]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [3,6,4,2,1,5,7,8]=>[3,6,4,2,1,5,7,8]=>[8,7,5,1,2,4,6,3]=>[[1,5,6,7],[2],[3],[4],[8]]=>9 [4,6,5,2,1,7,8,3]=>[6,4,2,1,5,7,8,3]=>[3,8,7,5,1,2,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [4,1,5,7,6,8,3,2]=>[7,4,5,6,8,1,3,2]=>[2,3,1,8,6,5,4,7]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [3,6,4,5,2,1,7,8]=>[3,6,4,5,2,1,7,8]=>[8,7,1,2,5,4,6,3]=>[[1,4,5,7],[2],[3],[6],[8]]=>11 [3,5,6,4,2,8,1,7]=>[5,6,3,4,8,2,1,7]=>[7,1,2,8,4,3,6,5]=>[[1,3,4,7],[2,5],[6,8]]=>13 [4,6,5,3,1,7,8,2]=>[6,4,1,5,3,7,8,2]=>[2,8,7,3,5,1,4,6]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [1,2,3,4,5,7,6,8,9,10]=>[7,1,2,3,4,5,6,8,9,10]=>[10,9,8,6,5,4,3,2,1,7]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>1 [1,2,3,5,4,6,7,8,9,10]=>[5,1,2,3,4,6,7,8,9,10]=>[10,9,8,7,6,4,3,2,1,5]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>1 [5,8,1,4,2,3,6,7]=>[1,5,2,4,3,8,6,7]=>[7,6,8,3,4,2,5,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [4,5,8,2,3,1,6,7]=>[4,2,8,5,3,1,6,7]=>[7,6,1,3,5,8,2,4]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [3,5,4,8,1,7,2,6]=>[8,5,3,4,1,7,2,6]=>[6,2,7,1,4,3,5,8]=>[[1,3,7,8],[2,5],[4,6]]=>13 [5,3,6,8,1,4,7,2]=>[3,5,6,1,8,4,7,2]=>[2,7,4,8,1,6,5,3]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [3,5,1,8,6,4,7,2]=>[3,8,5,6,1,4,7,2]=>[2,7,4,1,6,5,8,3]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [4,7,2,8,3,1,6,5]=>[4,2,7,3,8,6,1,5]=>[5,1,6,8,3,7,2,4]=>[[1,3,4],[2,5,6],[7,8]]=>15 [1,2,5,6,8,4,7,3]=>[8,5,6,4,7,1,2,3]=>[3,2,1,7,4,6,5,8]=>[[1,4,6,8],[2,5],[3,7]]=>9 [1,5,6,8,4,7,2,3]=>[8,5,6,4,1,7,2,3]=>[3,2,7,1,4,6,5,8]=>[[1,3,6,8],[2,5],[4,7]]=>14 [4,3,5,1,8,6,7,2]=>[4,8,3,1,5,6,7,2]=>[2,7,6,5,1,3,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [6,5,1,2,4,8,7,3]=>[6,1,2,5,8,4,7,3]=>[3,7,4,8,5,2,1,6]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [6,1,5,3,4,8,7,2]=>[1,6,5,8,3,4,7,2]=>[2,7,4,3,8,5,6,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [5,8,6,3,2,1,4,7]=>[5,3,2,1,8,6,4,7]=>[7,4,6,8,1,2,3,5]=>[[1,3,4,8],[2,6,7],[5]]=>17 [8,6,7,1,2,5,3,4]=>[6,1,2,3,8,7,5,4]=>[4,5,7,8,3,2,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [1,5,6,4,2,8,7,3]=>[5,1,6,8,4,7,2,3]=>[3,2,7,4,8,6,1,5]=>[[1,3,5],[2,4,6],[7,8]]=>11 [7,5,1,4,8,2,3,6]=>[5,4,1,2,7,3,8,6]=>[6,8,3,7,2,1,4,5]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [7,4,3,1,8,5,2,6]=>[1,4,7,3,5,2,8,6]=>[6,8,2,5,3,7,4,1]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [7,8,1,6,3,4,5,2]=>[1,7,3,8,4,6,5,2]=>[2,5,6,4,8,3,7,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [4,6,5,3,8,2,7,1]=>[6,4,5,8,3,2,7,1]=>[1,7,2,3,8,5,4,6]=>[[1,2,4,5,8],[3,6],[7]]=>17 [1,3,7,6,4,5,8,2]=>[3,7,6,4,5,8,1,2]=>[2,1,8,5,4,6,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [3,2,5,8,4,7,6,1]=>[3,8,5,7,2,4,6,1]=>[1,6,4,2,7,5,8,3]=>[[1,2,5,7],[3,6],[4,8]]=>13 [1,4,5,3,8,6,2,7]=>[8,4,5,3,6,1,2,7]=>[7,2,1,6,3,5,4,8]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [1,3,5,8,4,7,6,2]=>[5,8,7,3,4,6,1,2]=>[2,1,6,4,3,7,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>11 [7,8,3,5,2,1,6,4]=>[7,3,2,1,5,8,6,4]=>[4,6,8,5,1,2,3,7]=>[[1,2,3,8],[4,6,7],[5]]=>19 [7,8,6,3,5,2,4,1]=>[3,7,2,8,6,5,4,1]=>[1,4,5,6,8,2,7,3]=>[[1,2,3,4,5],[6,7],[8]]=>24 [6,3,7,5,2,4,1,8]=>[6,7,3,2,5,4,1,8]=>[8,1,4,5,2,3,7,6]=>[[1,3,4,7],[2,6,8],[5]]=>16 [1,8,2,4,5,7,3,6]=>[8,1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>10 [7,8,1,5,6,4,3,2]=>[7,5,8,6,1,4,3,2]=>[2,3,4,1,6,8,5,7]=>[[1,2,3,5,6],[4,7,8]]=>21 [6,3,7,5,1,4,2,8]=>[6,3,7,1,5,4,2,8]=>[8,2,4,5,1,7,3,6]=>[[1,3,4,6],[2,7,8],[5]]=>15 [5,3,1,2,6,7,4,8]=>[1,3,2,5,6,7,4,8]=>[8,4,7,6,5,2,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>8 [6,1,7,3,4,2,5,8]=>[3,6,4,1,2,7,5,8]=>[8,5,7,2,1,4,6,3]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [4,8,3,6,7,2,1,5]=>[4,6,8,7,3,2,1,5]=>[5,1,2,3,7,8,6,4]=>[[1,3,4,5,6],[2,7],[8]]=>18 [3,8,5,4,7,2,6,1]=>[3,8,5,7,4,2,6,1]=>[1,6,2,4,7,5,8,3]=>[[1,2,4,5,7],[3,6],[8]]=>18 [3,8,2,6,5,7,4,1]=>[6,3,5,8,7,2,4,1]=>[1,4,2,7,8,5,3,6]=>[[1,2,4,5],[3,6,8],[7]]=>17 [2,8,7,6,3,5,1,4]=>[8,2,7,6,5,3,1,4]=>[4,1,3,5,6,7,2,8]=>[[1,3,4,5,6,8],[2],[7]]=>19 [2,8,7,1,5,6,4,3]=>[2,8,5,7,6,4,1,3]=>[3,1,4,6,7,5,8,2]=>[[1,3,4,5,7],[2,6],[8]]=>17 [4,1,5,7,3,8,2,6]=>[7,4,5,8,1,3,2,6]=>[6,2,3,1,8,5,4,7]=>[[1,3,5,8],[2,6],[4,7]]=>11 [7,2,8,5,4,3,6,1]=>[7,5,4,2,3,8,6,1]=>[1,6,8,3,2,4,5,7]=>[[1,2,3,7,8],[4,6],[5]]=>19 [7,1,6,8,2,5,3,4]=>[7,1,6,2,8,3,5,4]=>[4,5,3,8,2,6,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [2,6,5,7,8,4,1,3]=>[6,5,7,8,4,2,1,3]=>[3,1,2,4,8,7,5,6]=>[[1,3,4,5,8],[2,6],[7]]=>16 [3,6,5,7,4,1,8,2]=>[6,5,7,3,1,4,8,2]=>[2,8,4,1,3,7,5,6]=>[[1,2,6,8],[3,5,7],[4]]=>15 [1,6,5,7,4,2,3,8]=>[6,5,1,7,4,2,3,8]=>[8,3,2,4,7,1,5,6]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [3,6,7,5,8,4,1,2]=>[6,7,5,8,3,1,4,2]=>[2,4,1,3,8,5,7,6]=>[[1,2,5,7],[3,4,6],[8]]=>18 [3,4,7,2,5,6,8,1]=>[3,7,4,2,5,6,8,1]=>[1,8,6,5,2,4,7,3]=>[[1,2,6,7],[3],[4],[5],[8]]=>12 [6,2,3,8,5,4,7,1]=>[2,6,8,3,5,4,7,1]=>[1,7,4,5,3,8,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [5,7,8,6,4,1,3,2]=>[7,5,8,1,6,4,3,2]=>[2,3,4,6,1,8,5,7]=>[[1,2,3,4,6],[5,7,8]]=>22 [6,1,4,8,5,7,2,3]=>[6,4,8,5,1,2,7,3]=>[3,7,2,1,5,8,4,6]=>[[1,2,6],[3,5,8],[4,7]]=>15 [2,3,1,6,5,8,4,7]=>[6,8,2,3,5,1,4,7]=>[7,4,1,5,3,2,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [7,5,8,6,4,1,3,2]=>[5,1,7,8,6,4,3,2]=>[2,3,4,6,8,7,1,5]=>[[1,2,3,4,5],[6,8],[7]]=>23 [2,8,5,6,4,1,3,7]=>[5,8,6,2,1,4,3,7]=>[7,3,4,1,2,6,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>15 [2,7,6,3,8,5,1,4]=>[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[[1,3,4,5,8],[2,6],[7]]=>16 [2,3,1,7,6,8,4,5]=>[7,6,8,2,3,1,4,5]=>[5,4,1,3,2,8,6,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [2,3,1,8,4,6,7,5]=>[2,3,8,6,7,1,4,5]=>[5,4,1,7,6,8,3,2]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [4,2,3,5,1,8,6,7]=>[2,4,8,3,5,1,6,7]=>[7,6,1,5,3,8,4,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [5,8,7,2,6,4,1,3]=>[8,5,7,2,1,6,4,3]=>[3,4,6,1,2,7,5,8]=>[[1,2,3,6,8],[4,5,7]]=>21 [6,8,5,1,7,4,3,2]=>[8,6,1,5,7,4,3,2]=>[2,3,4,7,5,1,6,8]=>[[1,2,3,4,7,8],[5],[6]]=>21 [6,8,5,2,7,4,1,3]=>[6,2,8,5,1,7,4,3]=>[3,4,7,1,5,8,2,6]=>[[1,2,3,6],[4,5,8],[7]]=>21 [6,8,5,3,7,1,4,2]=>[3,1,8,6,5,7,4,2]=>[2,4,7,5,6,8,1,3]=>[[1,2,3,5,6],[4,8],[7]]=>21 [7,4,8,6,3,2,1,5]=>[7,8,4,3,2,1,6,5]=>[5,6,1,2,3,4,8,7]=>[[1,2,5,6,7],[3,4,8]]=>21 [7,5,8,1,6,4,3,2]=>[1,7,8,5,6,4,3,2]=>[2,3,4,6,5,8,7,1]=>[[1,2,3,4,6],[5,7],[8]]=>21 [7,5,8,2,6,4,1,3]=>[2,5,7,1,8,6,4,3]=>[3,4,6,8,1,7,5,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [7,6,2,8,5,4,1,3]=>[7,6,8,2,1,5,4,3]=>[3,4,5,1,2,8,6,7]=>[[1,2,3,6,8],[4,5,7]]=>21 [6,5,4,2,1,8,7,3]=>[2,1,6,5,8,4,7,3]=>[3,7,4,8,5,6,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>16 [6,5,4,2,8,1,7,3]=>[2,6,5,4,8,1,7,3]=>[3,7,1,8,4,5,6,2]=>[[1,2,4,7],[3,5,6],[8]]=>17 [6,3,2,8,1,7,5,4]=>[3,6,8,2,7,1,5,4]=>[4,5,1,7,2,8,6,3]=>[[1,2,4,6],[3,5,7],[8]]=>15 [2,1,3,4,5,6,8,7,9]=>[2,8,1,3,4,5,6,7,9]=>[9,7,6,5,4,3,1,8,2]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>2 [2,3,4,5,6,8,7,9,1]=>[8,2,3,4,5,6,7,9,1]=>[1,9,7,6,5,4,3,2,8]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>9 [5,3,8,7,6,2,1,4]=>[8,7,3,5,2,1,6,4]=>[4,6,1,2,5,3,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>19 [3,7,6,1,4,5,2,8]=>[7,3,1,6,4,5,2,8]=>[8,2,5,4,6,1,3,7]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [5,7,6,2,3,1,4,8]=>[2,7,5,3,1,6,4,8]=>[8,4,6,1,3,5,7,2]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [4,1,3,7,5,2,6,8]=>[7,4,1,3,5,2,6,8]=>[8,6,2,5,3,1,4,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>8 [7,5,4,1,3,2,6,8]=>[5,1,4,3,2,7,6,8]=>[8,6,7,2,3,4,1,5]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [2,4,8,5,6,3,1,7]=>[4,5,8,6,2,3,1,7]=>[7,1,3,2,6,8,5,4]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [2,6,8,4,5,3,1,7]=>[4,8,6,5,2,3,1,7]=>[7,1,3,2,5,6,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>15 [5,2,3,7,4,1,6,8]=>[5,2,3,7,4,1,6,8]=>[8,6,1,4,7,3,2,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [4,5,1,6,3,2,7,8]=>[1,4,5,6,3,2,7,8]=>[8,7,2,3,6,5,4,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>9 [4,2,5,1,6,3,7,8]=>[2,4,1,5,6,3,7,8]=>[8,7,3,6,5,1,4,2]=>[[1,4],[2,7],[3],[5],[6],[8]]=>7 [5,1,6,2,4,3,7,8]=>[1,5,6,2,4,3,7,8]=>[8,7,3,4,2,6,5,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [5,3,4,8,7,6,2,1]=>[8,3,5,7,4,6,2,1]=>[1,2,6,4,7,5,3,8]=>[[1,2,3,5,8],[4,6],[7]]=>18 [8,3,1,6,7,5,4,2]=>[6,8,7,1,3,5,4,2]=>[2,4,5,3,1,7,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>18 [1,8,2,6,7,4,5,3]=>[6,1,8,7,4,5,2,3]=>[3,2,5,4,7,8,1,6]=>[[1,3,5,6],[2,4,8],[7]]=>14 [1,2,8,3,4,7,6,5]=>[8,7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>8 [7,6,4,5,2,1,8,3]=>[4,2,1,7,6,5,8,3]=>[3,8,5,6,7,1,2,4]=>[[1,2,4,5],[3,7,8],[6]]=>19 [8,2,4,7,6,3,1,5]=>[8,7,4,2,3,1,6,5]=>[5,6,1,3,2,4,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>18 [7,3,8,5,4,2,1,6]=>[7,5,3,4,2,1,8,6]=>[6,8,1,2,4,3,5,7]=>[[1,2,5,7,8],[3,4],[6]]=>19 [6,3,4,7,2,8,5,1]=>[3,4,6,2,7,8,5,1]=>[1,5,8,7,2,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [6,8,4,3,1,5,2,7]=>[1,4,3,8,6,5,2,7]=>[7,2,5,6,8,3,4,1]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [5,6,4,1,8,2,3,7]=>[5,1,6,4,2,8,3,7]=>[7,3,8,2,4,6,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [1,5,2,4,7,8,6,3]=>[5,7,8,1,4,6,2,3]=>[3,2,6,4,1,8,7,5]=>[[1,3,6],[2,4,7],[5,8]]=>9 [2,7,3,4,8,5,6,1]=>[7,2,3,4,8,5,6,1]=>[1,6,5,8,4,3,2,7]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [2,7,6,8,3,5,4,1]=>[2,7,6,8,5,3,4,1]=>[1,4,3,5,8,6,7,2]=>[[1,2,4,5,7],[3,6],[8]]=>18 [6,2,3,7,4,5,8,1]=>[6,2,3,4,7,5,8,1]=>[1,8,5,7,4,3,2,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [1,6,3,2,7,5,8,4]=>[1,6,7,3,5,8,2,4]=>[4,2,8,5,3,7,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [7,3,5,2,6,8,1,4]=>[3,2,7,5,6,1,8,4]=>[4,8,1,6,5,7,2,3]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [2,5,3,6,4,7,8,1]=>[2,5,6,3,4,7,8,1]=>[1,8,7,4,3,6,5,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [1,6,5,2,4,7,3,8]=>[6,1,5,4,7,2,3,8]=>[8,3,2,7,4,5,1,6]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [1,5,4,2,7,3,6,8]=>[5,4,1,7,2,3,6,8]=>[8,6,3,2,7,1,4,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [1,5,4,2,8,7,3,6]=>[5,8,4,1,7,2,3,6]=>[6,3,2,7,1,4,8,5]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [1,6,8,3,5,2,4,7]=>[8,6,1,5,3,2,4,7]=>[7,4,2,3,5,1,6,8]=>[[1,4,5,7,8],[2],[3],[6]]=>12 [1,2,8,3,6,5,4,7]=>[8,6,1,2,5,3,4,7]=>[7,4,3,5,2,1,6,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>8 [1,6,8,4,3,2,5,7]=>[8,6,1,4,3,2,5,7]=>[7,5,2,3,4,1,6,8]=>[[1,4,5,7,8],[2],[3],[6]]=>12 [1,7,5,3,2,6,4,8]=>[5,1,3,7,6,2,4,8]=>[8,4,2,6,7,3,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [1,8,3,7,2,4,6,5]=>[1,8,3,7,2,6,4,5]=>[5,4,6,2,7,3,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [7,3,2,6,1,5,8,4]=>[7,3,2,6,1,5,8,4]=>[4,8,5,1,6,2,3,7]=>[[1,2,5,8],[3,6,7],[4]]=>14 [6,8,5,2,7,1,4,3]=>[6,2,1,8,5,7,4,3]=>[3,4,7,5,8,1,2,6]=>[[1,2,3,5],[4,7,8],[6]]=>20 [5,8,1,2,6,7,4,3]=>[1,8,2,5,6,7,4,3]=>[3,4,7,6,5,2,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>15 [6,5,8,2,7,4,1,3]=>[2,6,8,5,1,7,4,3]=>[3,4,7,1,5,8,6,2]=>[[1,2,3,6],[4,5,7],[8]]=>20 [6,2,1,7,5,8,4,3]=>[6,7,2,5,8,1,4,3]=>[3,4,1,8,5,2,7,6]=>[[1,2,4,7],[3,5,8],[6]]=>14 [1,6,4,8,5,3,7,2]=>[6,4,8,5,3,7,1,2]=>[2,1,7,3,5,8,4,6]=>[[1,3,5,6],[2,4,8],[7]]=>14 [2,8,1,6,5,4,7,3]=>[6,5,2,4,8,7,1,3]=>[3,1,7,8,4,2,5,6]=>[[1,3,4,8],[2,5,7],[6]]=>14 [3,5,6,2,8,7,1,4]=>[5,6,8,3,7,2,1,4]=>[4,1,2,7,3,8,6,5]=>[[1,3,4,6],[2,5,7],[8]]=>14 [5,2,3,8,6,1,7,4]=>[2,8,3,5,1,6,7,4]=>[4,7,6,1,5,3,8,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [7,4,5,2,6,3,8,1]=>[4,2,5,7,6,3,8,1]=>[1,8,3,6,7,5,2,4]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [2,5,1,8,7,6,4,3]=>[8,7,2,5,6,4,1,3]=>[3,1,4,6,5,2,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>14 [4,7,6,1,3,5,8,2]=>[4,1,7,6,3,5,8,2]=>[2,8,5,3,6,7,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [4,2,5,7,6,8,1,3]=>[7,2,4,5,6,1,8,3]=>[3,8,1,6,5,4,2,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [4,1,7,6,2,5,8,3]=>[4,7,6,1,2,5,8,3]=>[3,8,5,2,1,6,7,4]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [4,1,7,6,5,8,2,3]=>[7,6,4,5,1,2,8,3]=>[3,8,2,1,5,4,6,7]=>[[1,2,7,8],[3,5],[4,6]]=>14 [8,2,7,5,6,3,1,4]=>[8,2,7,5,3,1,6,4]=>[4,6,1,3,5,7,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>20 [6,5,4,1,3,7,8,2]=>[6,1,5,4,3,7,8,2]=>[2,8,7,3,4,5,1,6]=>[[1,2,5,6,8],[3],[4],[7]]=>15 [5,2,1,7,6,4,8,3]=>[7,2,5,6,1,4,8,3]=>[3,8,4,1,6,5,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [4,7,2,1,6,5,8,3]=>[4,7,2,6,1,5,8,3]=>[3,8,5,1,6,2,7,4]=>[[1,2,5,7],[3,6,8],[4]]=>13 [2,7,6,4,1,5,8,3]=>[4,2,7,6,5,8,1,3]=>[3,1,8,5,6,7,2,4]=>[[1,3,5,6],[2,4,8],[7]]=>14 [5,4,1,7,2,8,3,6]=>[1,5,4,7,2,8,3,6]=>[6,3,8,2,7,4,5,1]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [6,8,5,2,7,3,1,4]=>[8,2,6,5,3,1,7,4]=>[4,7,1,3,5,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>20 [6,7,5,2,8,3,1,4]=>[2,6,7,5,3,1,8,4]=>[4,8,1,3,5,7,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [4,1,7,6,8,2,3,5]=>[7,4,1,6,2,8,3,5]=>[5,3,8,2,6,1,4,7]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [5,2,1,3,7,8,4,6]=>[2,5,7,1,3,8,4,6]=>[6,4,8,3,1,7,5,2]=>[[1,3],[2,6],[4,7],[5,8]]=>9 [8,4,2,6,1,7,3,5]=>[4,2,8,1,6,3,7,5]=>[5,7,3,6,1,8,2,4]=>[[1,2,6],[3,4,8],[5,7]]=>16 [7,2,1,3,8,4,5,6]=>[7,2,1,3,4,5,8,6]=>[6,8,5,4,3,1,2,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [8,2,1,6,3,7,4,5]=>[2,8,1,6,3,4,7,5]=>[5,7,4,3,6,1,8,2]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [7,1,6,8,2,4,3,5]=>[7,1,6,4,2,3,8,5]=>[5,8,3,2,4,6,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [4,7,1,8,3,2,6,5]=>[1,4,7,3,8,6,2,5]=>[5,2,6,8,3,7,4,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [7,8,5,2,6,3,1,4]=>[7,2,5,3,1,8,6,4]=>[4,6,8,1,3,5,2,7]=>[[1,2,3,8],[4,5,6],[7]]=>21 [4,7,1,6,3,8,2,5]=>[1,4,7,6,8,3,2,5]=>[5,2,3,8,6,7,4,1]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [6,5,1,3,7,8,2,4]=>[1,6,3,5,7,2,8,4]=>[4,8,2,7,5,3,6,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>14 [7,2,1,4,3,5,8,6]=>[2,4,1,3,5,7,8,6]=>[6,8,7,5,3,1,4,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>9 [7,1,2,5,4,3,8,6]=>[5,4,1,2,3,7,8,6]=>[6,8,7,3,2,1,4,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [5,1,2,7,8,6,3,4]=>[7,8,5,1,2,3,6,4]=>[4,6,3,2,1,5,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [6,1,2,4,3,7,8,5]=>[4,1,2,3,6,7,8,5]=>[5,8,7,6,3,2,1,4]=>[[1,2],[3,8],[4],[5],[6],[7]]=>8 [8,1,5,4,2,3,6,7]=>[1,5,4,2,3,6,8,7]=>[7,8,6,3,2,4,5,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [7,1,2,4,6,3,8,5]=>[7,4,1,2,3,6,8,5]=>[5,8,6,3,2,1,4,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [7,1,2,6,5,3,8,4]=>[1,7,6,2,3,5,8,4]=>[4,8,5,3,2,6,7,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>12 [6,1,8,5,7,2,3,4]=>[1,8,6,5,2,3,7,4]=>[4,7,3,2,5,6,8,1]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [1,6,7,5,8,3,4,2]=>[6,7,5,3,8,4,1,2]=>[2,1,4,8,3,5,7,6]=>[[1,3,4,7],[2,5,6],[8]]=>16 [6,1,4,7,8,2,3,5]=>[4,6,1,7,2,3,8,5]=>[5,8,3,2,7,1,6,4]=>[[1,2],[3,5],[4,7],[6,8]]=>13 [8,1,2,3,7,5,4,6]=>[8,1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [6,3,1,2,4,7,5,8]=>[1,3,2,4,6,7,5,8]=>[8,5,7,6,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>8 [6,7,1,4,2,3,5,8]=>[1,6,2,4,3,7,5,8]=>[8,5,7,3,4,2,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [6,1,7,4,8,2,3,5]=>[6,4,1,7,2,3,8,5]=>[5,8,3,2,7,1,4,6]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [4,3,8,5,6,2,7,1]=>[4,3,8,5,6,2,7,1]=>[1,7,2,6,5,8,3,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [4,3,8,6,7,2,5,1]=>[4,8,6,7,3,2,5,1]=>[1,5,2,3,7,6,8,4]=>[[1,2,4,5,7],[3,6],[8]]=>18 [7,6,8,1,5,3,4,2]=>[7,6,1,3,8,5,4,2]=>[2,4,5,8,3,1,6,7]=>[[1,2,3,4,8],[5,7],[6]]=>21 [7,4,6,1,5,3,8,2]=>[7,1,4,6,5,3,8,2]=>[2,8,3,5,6,4,1,7]=>[[1,2,4,5,8],[3],[6],[7]]=>17 [6,1,8,3,7,4,5,2]=>[6,1,8,3,7,4,5,2]=>[2,5,4,7,3,8,1,6]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [8,3,4,2,7,1,6,5]=>[8,3,4,2,7,1,6,5]=>[5,6,1,7,2,4,3,8]=>[[1,2,4,8],[3,5,6],[7]]=>16 [6,1,5,4,8,2,7,3]=>[6,5,4,8,1,2,7,3]=>[3,7,2,1,8,4,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>14 [6,2,5,4,7,1,8,3]=>[6,5,2,4,1,7,8,3]=>[3,8,7,1,4,2,5,6]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [8,4,5,7,1,3,6,2]=>[4,5,1,8,3,7,6,2]=>[2,6,7,3,8,1,5,4]=>[[1,2,3,5],[4,7],[6,8]]=>19 [8,1,3,4,6,7,5,2]=>[1,8,3,6,7,4,5,2]=>[2,5,4,7,6,3,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [8,7,6,2,3,5,4,1]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[[1,2,3,4,5,8],[6],[7]]=>23 [8,2,1,6,5,7,4,3]=>[8,2,6,5,7,1,4,3]=>[3,4,1,7,5,6,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>16 [2,7,8,6,1,5,3,4]=>[2,7,1,8,6,5,3,4]=>[4,3,5,6,8,1,7,2]=>[[1,3,4,5],[2,7],[6,8]]=>17 [6,8,2,1,3,5,4,7]=>[2,8,1,3,6,5,4,7]=>[7,4,5,6,3,1,8,2]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [3,5,8,6,2,1,4,7]=>[5,8,6,3,2,1,4,7]=>[7,4,1,2,3,6,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>14 [4,8,2,5,6,1,3,7]=>[2,4,5,1,8,6,3,7]=>[7,3,6,8,1,5,4,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [5,3,8,4,2,7,6,1]=>[3,8,5,4,7,2,6,1]=>[1,6,2,7,4,5,8,3]=>[[1,2,4,6,7],[3,5],[8]]=>17 [1,7,8,4,6,3,2,5]=>[7,8,6,1,4,3,2,5]=>[5,2,3,4,1,6,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>16 [8,7,2,4,6,3,1,5]=>[8,4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4,8]=>[[1,2,3,8],[4,5,7],[6]]=>20 [8,7,3,2,1,6,4,5]=>[3,8,2,1,4,7,6,5]=>[5,6,7,4,1,2,8,3]=>[[1,2,3,7],[4,6,8],[5]]=>18 [7,8,3,4,6,5,2,1]=>[3,4,7,8,6,5,2,1]=>[1,2,5,6,8,7,4,3]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [8,7,3,6,5,2,4,1]=>[8,7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7,8]=>[[1,2,3,4,7,8],[5,6]]=>24 [2,8,7,4,6,3,1,5]=>[8,7,2,6,4,3,1,5]=>[5,1,3,4,6,2,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>18 [3,6,8,5,7,4,2,1]=>[8,6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6,8]=>[[1,2,3,5,7,8],[4,6]]=>20 [8,3,5,6,4,7,2,1]=>[5,6,3,4,8,7,2,1]=>[1,2,7,8,4,3,6,5]=>[[1,2,3,4],[5,7],[6,8]]=>20 [6,5,8,1,3,4,2,7]=>[6,1,3,8,5,4,2,7]=>[7,2,4,5,8,3,1,6]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [6,8,4,5,1,3,2,7]=>[1,4,8,6,5,3,2,7]=>[7,2,3,5,6,8,4,1]=>[[1,3,4,5,6],[2],[7],[8]]=>18 [6,4,8,7,5,3,2,1]=>[8,4,6,7,5,3,2,1]=>[1,2,3,5,7,6,4,8]=>[[1,2,3,4,5,8],[6],[7]]=>23 [5,8,1,3,4,2,7,6]=>[1,5,3,4,8,7,2,6]=>[6,2,7,8,4,3,5,1]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [1,6,7,3,2,8,5,4]=>[6,1,3,7,8,5,2,4]=>[4,2,5,8,7,3,1,6]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [3,2,7,6,8,4,5,1]=>[7,6,8,3,2,4,5,1]=>[1,5,4,2,3,8,6,7]=>[[1,2,5,6,8],[3,7],[4]]=>15 [6,4,1,5,2,8,7,3]=>[4,1,2,6,8,5,7,3]=>[3,7,5,8,6,2,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [2,5,1,4,7,3,6,8]=>[2,5,7,4,1,3,6,8]=>[8,6,3,1,4,7,5,2]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [2,6,1,5,7,4,8,3]=>[6,2,5,7,4,8,1,3]=>[3,1,8,4,7,5,2,6]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [2,6,1,5,7,4,3,8]=>[6,2,5,7,4,1,3,8]=>[8,3,1,4,7,5,2,6]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [3,6,5,1,4,2,7,8]=>[3,6,5,1,4,2,7,8]=>[8,7,2,4,1,5,6,3]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [3,6,5,1,7,2,4,8]=>[6,5,3,1,7,2,4,8]=>[8,4,2,7,1,3,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [3,6,5,2,1,4,7,8]=>[6,5,3,2,1,4,7,8]=>[8,7,4,1,2,3,5,6]=>[[1,5,6,7,8],[2],[3],[4]]=>10 [5,4,3,6,1,7,2,8]=>[5,4,3,1,6,7,2,8]=>[8,2,7,6,1,3,4,5]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [3,6,5,7,1,4,2,8]=>[6,5,3,7,1,4,2,8]=>[8,2,4,1,7,3,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>13 [3,6,5,1,4,7,2,8]=>[3,6,5,1,4,7,2,8]=>[8,2,7,4,1,5,6,3]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [4,3,6,5,7,1,2,8]=>[4,6,3,5,1,7,2,8]=>[8,2,7,1,5,3,6,4]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [4,2,6,5,1,3,7,8]=>[6,2,4,1,5,3,7,8]=>[8,7,3,5,1,4,2,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [4,2,5,7,6,1,3,8]=>[7,2,4,5,1,6,3,8]=>[8,3,6,1,5,4,2,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [4,1,6,5,2,7,3,8]=>[6,4,1,2,5,7,3,8]=>[8,3,7,5,2,1,4,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [3,6,5,7,2,1,4,8]=>[6,5,7,3,2,1,4,8]=>[8,4,1,2,3,7,5,6]=>[[1,4,5,6,8],[2,7],[3]]=>13 [3,5,7,6,2,4,1,8]=>[7,5,6,3,2,4,1,8]=>[8,1,4,2,3,6,5,7]=>[[1,3,5,6,8],[2,7],[4]]=>14 [5,4,2,6,3,7,1,8]=>[2,5,4,6,3,7,1,8]=>[8,1,7,3,6,4,5,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [4,6,5,2,1,7,3,8]=>[6,4,2,1,5,7,3,8]=>[8,3,7,5,1,2,4,6]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [5,3,1,8,2,4,6,7]=>[1,5,3,2,8,4,6,7]=>[7,6,4,8,2,3,5,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [5,1,3,8,2,4,6,7]=>[5,1,3,2,8,4,6,7]=>[7,6,4,8,2,3,1,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [5,8,2,4,6,3,1,7]=>[5,2,4,8,6,3,1,7]=>[7,1,3,6,8,4,2,5]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [1,5,8,4,6,7,2,3]=>[5,4,8,6,1,7,2,3]=>[3,2,7,1,6,8,4,5]=>[[1,3,6],[2,5,8],[4,7]]=>14 [5,1,8,4,6,7,2,3]=>[5,4,8,6,1,2,7,3]=>[3,7,2,1,6,8,4,5]=>[[1,2,6],[3,5,8],[4,7]]=>15 [5,8,2,4,6,3,7,1]=>[5,2,4,8,6,3,7,1]=>[1,7,3,6,8,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [3,8,4,6,7,2,1,5]=>[3,8,6,7,4,2,1,5]=>[5,1,2,4,7,6,8,3]=>[[1,3,4,5,7],[2,6],[8]]=>17 [3,8,4,6,7,2,5,1]=>[3,8,6,7,4,2,5,1]=>[1,5,2,4,7,6,8,3]=>[[1,2,4,5,7],[3,6],[8]]=>18 [8,4,3,6,7,2,1,5]=>[8,4,3,6,2,1,7,5]=>[5,7,1,2,6,3,4,8]=>[[1,2,5,7,8],[3,4],[6]]=>19 [8,6,2,4,5,3,7,1]=>[2,6,4,5,3,8,7,1]=>[1,7,8,3,5,4,6,2]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [1,8,6,4,5,7,2,3]=>[4,6,5,1,8,7,2,3]=>[3,2,7,8,1,5,6,4]=>[[1,3,4],[2,6,7],[5,8]]=>16 [8,6,2,4,5,3,1,7]=>[2,6,4,5,3,1,8,7]=>[7,8,1,3,5,4,6,2]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [1,8,6,4,2,3,5,7]=>[1,8,2,4,3,6,5,7]=>[7,5,6,3,4,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [3,8,1,6,2,4,5,7]=>[1,8,3,2,4,6,5,7]=>[7,5,6,4,2,3,8,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [3,8,6,2,4,5,7,1]=>[3,2,8,4,6,5,7,1]=>[1,7,5,6,4,8,2,3]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [8,3,6,2,4,5,1,7]=>[3,2,6,4,5,1,8,7]=>[7,8,1,5,4,6,2,3]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [3,8,6,7,2,1,4,5]=>[6,3,2,1,8,7,4,5]=>[5,4,7,8,1,2,3,6]=>[[1,3,4,8],[2,6,7],[5]]=>17 [8,2,6,4,5,1,7,3]=>[2,8,4,1,6,5,7,3]=>[3,7,5,6,1,4,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [1,8,4,6,7,5,2,3]=>[4,8,6,1,7,5,2,3]=>[3,2,5,7,1,6,8,4]=>[[1,3,4,7],[2,6],[5,8]]=>16 [8,4,6,2,3,7,5,1]=>[2,4,3,8,6,7,5,1]=>[1,5,7,6,8,3,4,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [2,7,1,6,3,5,8,4]=>[2,7,6,1,5,8,3,4]=>[4,3,8,5,1,6,7,2]=>[[1,3,6,7],[2,4],[5,8]]=>11 [1,8,4,2,6,3,7,5]=>[4,1,2,8,6,7,3,5]=>[5,3,7,6,8,2,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [8,4,2,1,5,3,7,6]=>[2,1,4,5,8,3,7,6]=>[6,7,3,8,5,4,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [8,2,1,4,7,3,6,5]=>[2,8,4,7,1,3,6,5]=>[5,6,3,1,7,4,8,2]=>[[1,2,5,7],[3,6],[4,8]]=>13 [8,4,3,1,5,7,2,6]=>[1,4,8,3,5,2,7,6]=>[6,7,2,5,3,8,4,1]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [4,7,2,1,6,8,3,5]=>[2,4,7,6,1,8,3,5]=>[5,3,8,1,6,7,4,2]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [3,1,8,4,6,7,2,5]=>[3,8,6,7,1,4,2,5]=>[5,2,4,1,7,6,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>12 [3,2,7,6,1,4,8,5]=>[7,6,3,2,8,1,4,5]=>[5,4,1,8,2,3,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>11 [2,1,5,8,7,3,6,4]=>[8,7,5,2,6,1,3,4]=>[4,3,1,6,2,5,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>11 [4,2,1,6,7,3,8,5]=>[2,4,6,1,7,8,3,5]=>[5,3,8,7,1,6,4,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>9 [3,2,1,6,7,4,8,5]=>[3,6,7,2,8,1,4,5]=>[5,4,1,8,2,7,6,3]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [4,3,1,7,8,5,2,6]=>[4,7,3,8,1,5,2,6]=>[6,2,5,1,8,3,7,4]=>[[1,3,5],[2,6,7],[4,8]]=>12 [3,5,8,6,4,1,7,2]=>[5,8,6,3,1,4,7,2]=>[2,7,4,1,3,6,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>16 [5,1,8,6,4,2,3,7]=>[8,5,1,2,6,4,3,7]=>[7,3,4,6,2,1,5,8]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [2,8,5,3,6,4,7,1]=>[2,3,8,5,6,4,7,1]=>[1,7,4,6,5,8,3,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>15 [4,2,3,6,7,1,5,8]=>[2,4,6,7,3,1,5,8]=>[8,5,1,3,7,6,4,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [5,3,2,7,8,6,4,1]=>[3,7,8,2,5,6,4,1]=>[1,4,6,5,2,8,7,3]=>[[1,2,3,6],[4,7],[5,8]]=>16 [4,2,7,8,3,5,6,1]=>[7,2,8,4,3,5,6,1]=>[1,6,5,3,4,8,2,7]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [1,4,8,7,2,5,6,3]=>[8,4,1,7,5,6,2,3]=>[3,2,6,5,7,1,4,8]=>[[1,3,5,8],[2,4],[6,7]]=>13 [2,8,3,7,1,4,6,5]=>[2,3,8,7,1,6,4,5]=>[5,4,6,1,7,8,3,2]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [2,8,7,1,5,3,6,4]=>[2,1,8,5,7,6,3,4]=>[4,3,6,7,5,8,1,2]=>[[1,3,4,6],[2,5],[7,8]]=>15 [5,4,7,6,1,2,8,3]=>[5,1,7,4,2,6,8,3]=>[3,8,6,2,4,7,1,5]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [1,7,2,8,3,5,6,4]=>[7,1,2,8,5,6,3,4]=>[4,3,6,5,8,2,1,7]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [2,8,4,5,6,3,1,7]=>[2,4,8,5,6,3,1,7]=>[7,1,3,6,5,8,4,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>14 [1,4,6,7,8,5,2,3]=>[6,7,8,4,1,5,2,3]=>[3,2,5,1,4,8,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>13 [3,8,4,2,7,6,5,1]=>[8,3,4,7,6,2,5,1]=>[1,5,2,6,7,4,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>17 [1,2,8,7,3,6,4,5]=>[1,8,2,7,6,3,4,5]=>[5,4,3,6,7,2,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>11 [4,8,3,7,1,5,6,2]=>[4,8,3,1,7,5,6,2]=>[2,6,5,7,1,3,8,4]=>[[1,2,4,7],[3,6,8],[5]]=>17 [4,8,3,2,7,5,6,1]=>[4,8,3,2,7,5,6,1]=>[1,6,5,7,2,3,8,4]=>[[1,2,4,7],[3,6,8],[5]]=>17 [2,4,3,7,1,5,6,8]=>[7,4,2,3,1,5,6,8]=>[8,6,5,1,3,2,4,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>7 [3,2,5,6,8,1,4,7]=>[8,3,5,6,2,1,4,7]=>[7,4,1,2,6,5,3,8]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [8,1,3,6,5,4,2,7]=>[6,5,3,4,1,2,8,7]=>[7,8,2,1,4,3,5,6]=>[[1,2,7,8],[3,5],[4,6]]=>14 [1,2,4,8,6,3,7,5]=>[6,4,8,7,1,2,3,5]=>[5,3,2,1,7,8,4,6]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [7,1,5,2,4,6,8,3]=>[7,1,2,5,4,6,8,3]=>[3,8,6,4,5,2,1,7]=>[[1,2,5,8],[3],[4],[6],[7]]=>12 [8,4,2,7,3,5,6,1]=>[2,8,4,3,5,7,6,1]=>[1,6,7,5,3,4,8,2]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [7,4,1,5,8,6,3,2]=>[1,4,7,8,5,6,3,2]=>[2,3,6,5,8,7,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [1,3,8,7,6,4,2,5]=>[3,8,7,6,4,1,2,5]=>[5,2,1,4,6,7,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>14 [1,8,6,4,7,5,2,3]=>[4,6,1,8,7,5,2,3]=>[3,2,5,7,8,1,6,4]=>[[1,3,4,5],[2,7],[6,8]]=>17 [1,2,8,6,4,7,5,3]=>[4,6,8,7,5,1,2,3]=>[3,2,1,5,7,8,6,4]=>[[1,4,5,6],[2,7],[3,8]]=>12 [7,1,8,4,3,2,5,6]=>[7,4,1,3,2,5,8,6]=>[6,8,5,2,3,1,4,7]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [7,4,1,6,3,2,5,8]=>[1,4,7,3,2,6,5,8]=>[8,5,6,2,3,7,4,1]=>[[1,3,6],[2,5,7],[4],[8]]=>13 [1,6,5,4,2,8,3,7]=>[6,5,4,1,8,2,3,7]=>[7,3,2,8,1,4,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [8,5,4,3,7,1,6,2]=>[5,4,3,8,1,7,6,2]=>[2,6,7,1,8,3,4,5]=>[[1,2,3,5],[4,6,7,8]]=>20 [5,7,2,8,6,3,1,4]=>[5,7,2,8,3,1,6,4]=>[4,6,1,3,8,2,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>18 [8,4,3,1,5,2,7,6]=>[1,4,3,5,8,2,7,6]=>[6,7,2,8,5,3,4,1]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [6,5,4,2,7,3,8,1]=>[2,6,5,4,7,3,8,1]=>[1,8,3,7,4,5,6,2]=>[[1,2,4,6,7],[3],[5],[8]]=>17 [6,5,4,2,7,1,8,3]=>[2,6,5,4,1,7,8,3]=>[3,8,7,1,4,5,6,2]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [5,3,7,4,2,6,8,1]=>[5,3,7,4,2,6,8,1]=>[1,8,6,2,4,7,3,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [5,3,7,4,2,6,1,8]=>[5,3,7,4,2,6,1,8]=>[8,1,6,2,4,7,3,5]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [5,3,8,4,2,1,6,7]=>[3,8,5,4,2,1,6,7]=>[7,6,1,2,4,5,8,3]=>[[1,4,5,6,7],[2],[3],[8]]=>14 [5,1,8,4,3,2,6,7]=>[8,5,1,4,3,2,6,7]=>[7,6,2,3,4,1,5,8]=>[[1,4,5,7,8],[2],[3],[6]]=>12 [3,1,5,7,8,4,6,2]=>[7,8,5,1,3,4,6,2]=>[2,6,4,3,1,5,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [3,1,5,7,8,4,2,6]=>[7,8,5,1,3,4,2,6]=>[6,2,4,3,1,5,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [5,2,7,4,1,3,8,6]=>[2,5,1,7,4,8,3,6]=>[6,3,8,4,7,1,5,2]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [6,2,3,7,4,8,1,5]=>[6,2,3,4,7,1,8,5]=>[5,8,1,7,4,3,2,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [6,1,3,7,4,5,8,2]=>[6,1,3,7,4,5,8,2]=>[2,8,5,4,7,3,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [1,2,8,6,4,3,5,7]=>[8,1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>9 [6,1,3,7,4,5,2,8]=>[6,1,3,7,4,5,2,8]=>[8,2,5,4,7,3,1,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [6,5,8,1,2,4,3,7]=>[1,2,6,8,5,4,3,7]=>[7,3,4,5,8,6,2,1]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [3,5,8,7,2,1,4,6]=>[8,7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>15 [4,5,7,8,1,6,3,2]=>[4,5,7,8,1,6,3,2]=>[2,3,6,1,8,7,5,4]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [1,8,6,7,5,2,4,3]=>[1,6,8,7,5,4,2,3]=>[3,2,4,5,7,8,6,1]=>[[1,3,4,5,6],[2,7],[8]]=>18 [1,8,2,7,5,3,4,6]=>[1,8,2,7,3,5,4,6]=>[6,4,5,3,7,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [2,5,4,1,8,6,7,3]=>[5,8,4,2,6,7,1,3]=>[3,1,7,6,2,4,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>11 [4,7,5,8,1,6,2,3]=>[4,7,5,1,8,2,6,3]=>[3,6,2,8,1,5,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>17 [5,6,8,3,4,2,7,1]=>[8,5,3,6,4,2,7,1]=>[1,7,2,4,6,3,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>19 [7,3,4,8,2,6,1,5]=>[7,3,4,8,2,1,6,5]=>[5,6,1,2,8,4,3,7]=>[[1,2,5,8],[3,4,6],[7]]=>17 [7,1,3,2,4,5,6,8]=>[3,1,2,4,5,7,6,8]=>[8,6,7,5,4,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>7 [8,5,4,6,1,7,2,3]=>[1,5,4,6,2,8,7,3]=>[3,7,8,2,6,4,5,1]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [5,1,7,8,2,4,3,6]=>[1,5,2,7,8,4,3,6]=>[6,3,4,8,7,2,5,1]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [5,3,2,8,4,1,7,6]=>[5,3,2,8,4,7,1,6]=>[6,1,7,4,8,2,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>13 [5,3,2,1,4,6,8,7]=>[3,2,1,5,8,4,6,7]=>[7,6,4,8,5,1,2,3]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [5,3,2,4,8,1,6,7]=>[3,5,2,8,4,1,6,7]=>[7,6,1,4,8,2,5,3]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [5,3,2,4,8,6,1,7]=>[3,5,2,8,4,6,1,7]=>[7,1,6,4,8,2,5,3]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [8,4,3,5,1,7,6,2]=>[4,3,8,1,5,7,6,2]=>[2,6,7,5,1,8,3,4]=>[[1,2,3,6],[4,7,8],[5]]=>17 [5,3,2,8,4,6,7,1]=>[5,3,2,8,4,6,7,1]=>[1,7,6,4,8,2,3,5]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [4,7,8,6,3,2,5,1]=>[7,8,6,4,3,2,5,1]=>[1,5,2,3,4,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>21 [5,3,1,7,2,4,8,6]=>[3,1,5,2,7,8,4,6]=>[6,4,8,7,2,5,1,3]=>[[1,3],[2,4],[5,6],[7,8]]=>10 [5,3,2,8,4,7,1,6]=>[3,5,8,2,7,4,1,6]=>[6,1,4,7,2,8,5,3]=>[[1,3,4,6],[2,7],[5,8]]=>14 [4,8,1,7,3,5,6,2]=>[1,8,7,4,3,5,6,2]=>[2,6,5,3,4,7,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>16 [5,3,2,4,6,8,1,7]=>[3,2,5,8,4,6,1,7]=>[7,1,6,4,8,5,2,3]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [3,7,4,5,6,8,2,1]=>[3,4,7,5,6,8,2,1]=>[1,2,8,6,5,7,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>16 [8,7,1,4,2,5,3,6]=>[1,4,5,2,3,8,7,6]=>[6,7,8,3,2,5,4,1]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [4,7,3,5,8,1,6,2]=>[4,3,7,5,8,1,6,2]=>[2,6,1,8,5,7,3,4]=>[[1,2,4],[3,5,6],[7,8]]=>16 [8,4,3,5,7,1,6,2]=>[4,3,5,8,1,7,6,2]=>[2,6,7,1,8,5,3,4]=>[[1,2,3,5],[4,6,8],[7]]=>18 [1,7,6,4,2,5,3,8]=>[1,4,7,6,5,2,3,8]=>[8,3,2,5,6,7,4,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [8,6,1,5,2,7,3,4]=>[6,1,5,2,3,8,7,4]=>[4,7,8,3,2,5,1,6]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [1,2,6,5,7,8,3,4]=>[6,5,7,1,8,2,3,4]=>[4,3,2,8,1,7,5,6]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [8,5,2,4,3,7,1,6]=>[5,2,4,8,3,1,7,6]=>[6,7,1,3,8,4,2,5]=>[[1,2,5,8],[3,4,6],[7]]=>17 [8,5,1,4,3,7,6,2]=>[5,4,8,1,3,7,6,2]=>[2,6,7,3,1,8,4,5]=>[[1,2,3,6],[4,7,8],[5]]=>17 [8,5,1,4,3,2,7,6]=>[5,4,1,3,8,2,7,6]=>[6,7,2,8,3,1,4,5]=>[[1,2,4,8],[3,5,7],[6]]=>15 [8,5,1,4,3,2,6,7]=>[5,4,1,3,2,6,8,7]=>[7,8,6,2,3,1,4,5]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [8,5,1,4,3,6,7,2]=>[5,4,1,3,6,8,7,2]=>[2,7,8,6,3,1,4,5]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [6,5,4,3,1,7,2,8]=>[1,6,5,4,3,7,2,8]=>[8,2,7,3,4,5,6,1]=>[[1,3,5,6,7],[2],[4],[8]]=>15 [8,5,2,4,3,6,7,1]=>[5,2,4,3,6,8,7,1]=>[1,7,8,6,3,4,2,5]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [3,6,7,2,5,1,8,4]=>[6,3,7,5,2,8,1,4]=>[4,1,8,2,5,7,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>14 [2,6,5,7,1,4,8,3]=>[6,5,2,7,4,8,1,3]=>[3,1,8,4,7,2,5,6]=>[[1,3,5,8],[2,4,7],[6]]=>13 [3,5,1,7,8,4,6,2]=>[7,8,3,5,1,4,6,2]=>[2,6,4,1,5,3,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>13 [1,5,2,4,6,8,7,3]=>[5,8,1,4,6,7,2,3]=>[3,2,7,6,4,1,8,5]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [8,1,2,4,7,6,5,3]=>[8,7,1,6,2,4,5,3]=>[3,5,4,2,6,1,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>14 [3,4,1,8,6,7,5,2]=>[3,8,6,7,1,4,5,2]=>[2,5,4,1,7,6,8,3]=>[[1,2,5,7],[3,6],[4,8]]=>13 [6,1,3,2,8,5,7,4]=>[8,3,6,1,2,5,7,4]=>[4,7,5,2,1,6,3,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [8,5,4,2,6,3,1,7]=>[2,5,4,6,3,1,8,7]=>[7,8,1,3,6,4,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [8,5,2,1,6,4,3,7]=>[2,5,6,1,4,3,8,7]=>[7,8,3,4,1,6,5,2]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [1,3,8,4,7,5,2,6]=>[3,8,4,7,5,1,2,6]=>[6,2,1,5,7,4,8,3]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [5,3,7,1,4,6,8,2]=>[3,5,1,7,4,6,8,2]=>[2,8,6,4,7,1,5,3]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [5,7,2,6,1,4,8,3]=>[2,5,7,1,6,4,8,3]=>[3,8,4,6,1,7,5,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [8,4,7,5,2,1,3,6]=>[4,2,1,8,5,3,7,6]=>[6,7,3,5,8,1,2,4]=>[[1,2,5],[3,4,8],[6,7]]=>19 [3,8,6,4,7,2,1,5]=>[3,6,8,7,4,2,1,5]=>[5,1,2,4,7,8,6,3]=>[[1,3,4,5,6],[2,7],[8]]=>18 [4,8,6,3,7,2,1,5]=>[6,4,8,7,3,2,1,5]=>[5,1,2,3,7,8,4,6]=>[[1,3,4,5,6],[2,7,8]]=>19 [2,8,3,1,7,6,4,5]=>[8,7,2,3,1,6,4,5]=>[5,4,6,1,3,2,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [5,7,2,1,6,8,3,4]=>[2,7,1,5,6,3,8,4]=>[4,8,3,6,5,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [4,5,2,1,6,7,8,3]=>[4,2,1,5,6,7,8,3]=>[3,8,7,6,5,1,2,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [3,5,6,7,4,1,8,2]=>[5,6,7,3,1,4,8,2]=>[2,8,4,1,3,7,6,5]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [3,5,1,4,2,8,7,6]=>[3,5,8,1,4,7,2,6]=>[6,2,7,4,1,8,5,3]=>[[1,3,6],[2,4,7],[5,8]]=>9 [3,5,1,4,2,6,8,7]=>[3,5,1,4,8,2,6,7]=>[7,6,2,8,4,1,5,3]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [1,4,7,5,6,2,3,8]=>[4,7,5,1,6,2,3,8]=>[8,3,2,6,1,5,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [1,7,3,6,4,5,2,8]=>[3,7,4,6,5,1,2,8]=>[8,2,1,5,6,4,7,3]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [1,5,2,3,8,6,7,4]=>[1,8,2,5,6,7,3,4]=>[4,3,7,6,5,2,8,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [1,3,7,6,5,2,4,8]=>[7,6,5,3,1,2,4,8]=>[8,4,2,1,3,5,6,7]=>[[1,5,6,7,8],[2],[3],[4]]=>10 [1,8,2,4,7,5,3,6]=>[1,8,7,2,4,5,3,6]=>[6,3,5,4,2,7,8,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>11 [1,2,8,6,7,5,4,3]=>[6,8,7,5,4,1,2,3]=>[3,2,1,4,5,7,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>14 [1,3,8,6,5,4,2,7]=>[8,6,3,5,4,1,2,7]=>[7,2,1,4,5,3,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>12 [3,8,5,7,4,6,2,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>20 [8,6,2,4,5,7,1,3]=>[2,6,4,5,1,8,7,3]=>[3,7,8,1,5,4,6,2]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [6,5,2,4,1,3,8,7]=>[6,2,1,5,4,8,3,7]=>[7,3,8,4,5,1,2,6]=>[[1,3,5,8],[2,4],[6,7]]=>13 [7,6,3,2,5,1,8,4]=>[3,7,2,1,6,5,8,4]=>[4,8,5,6,1,2,7,3]=>[[1,2,4,7],[3,6,8],[5]]=>17 [4,6,3,7,5,8,2,1]=>[6,4,7,3,5,8,2,1]=>[1,2,8,5,3,7,4,6]=>[[1,2,3,6,8],[4,7],[5]]=>17 [4,2,5,7,8,6,3,1]=>[7,8,2,4,5,6,3,1]=>[1,3,6,5,4,2,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [6,7,2,4,5,1,8,3]=>[6,2,4,1,7,5,8,3]=>[3,8,5,7,1,4,2,6]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [5,2,7,8,3,6,1,4]=>[7,5,8,2,3,1,6,4]=>[4,6,1,3,2,8,5,7]=>[[1,2,6,8],[3,4,7],[5]]=>16 [7,2,3,4,1,8,5,6]=>[2,3,4,7,1,5,8,6]=>[6,8,5,1,7,4,3,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>11 [2,4,7,8,1,3,6,5]=>[7,4,2,8,6,1,3,5]=>[5,3,1,6,8,2,4,7]=>[[1,4,5,8],[2,6,7],[3]]=>12 [8,5,1,2,3,7,4,6]=>[5,1,2,3,8,4,7,6]=>[6,7,4,8,3,2,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [6,2,1,3,8,5,4,7]=>[6,2,8,1,3,5,4,7]=>[7,4,5,3,1,8,2,6]=>[[1,3,6],[2,7,8],[4],[5]]=>10 [5,2,8,3,1,4,7,6]=>[2,5,3,8,1,7,4,6]=>[6,4,7,1,8,3,5,2]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [8,7,2,5,1,4,3,6]=>[2,5,4,1,3,8,7,6]=>[6,7,8,3,1,4,5,2]=>[[1,2,3],[4,6,7],[5,8]]=>18 [8,4,1,3,2,7,6,5]=>[4,8,1,3,7,2,6,5]=>[5,6,2,7,3,1,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>14 [6,2,8,4,1,3,7,5]=>[6,4,2,8,1,3,7,5]=>[5,7,3,1,8,2,4,6]=>[[1,2,5,8],[3,6,7],[4]]=>14 [3,1,6,2,8,5,4,7]=>[6,3,8,1,5,2,4,7]=>[7,4,2,5,1,8,3,6]=>[[1,4,6],[2,7,8],[3],[5]]=>9 [8,1,3,5,2,4,7,6]=>[5,3,8,1,2,4,7,6]=>[6,7,4,2,1,8,3,5]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [8,3,5,1,2,4,7,6]=>[1,5,3,8,2,4,7,6]=>[6,7,4,2,8,3,5,1]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [8,6,5,1,7,4,2,3]=>[6,5,1,2,8,7,4,3]=>[3,4,7,8,2,1,5,6]=>[[1,2,3,4],[5,7,8],[6]]=>21 [8,7,4,5,1,2,6,3]=>[1,4,2,5,8,7,6,3]=>[3,6,7,8,5,2,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [3,8,6,2,7,1,5,4]=>[3,6,2,8,7,5,1,4]=>[4,1,5,7,8,2,6,3]=>[[1,3,4,5],[2,6,7],[8]]=>17 [8,4,3,5,1,2,7,6]=>[4,3,1,5,8,2,7,6]=>[6,7,2,8,5,1,3,4]=>[[1,2,4],[3,5,8],[6,7]]=>15 [3,2,8,5,1,4,7,6]=>[3,5,2,8,7,1,4,6]=>[6,4,1,7,8,2,5,3]=>[[1,4,5],[2,6,7],[3,8]]=>11 [8,3,4,1,7,2,6,5]=>[3,4,8,1,7,2,6,5]=>[5,6,2,7,1,8,4,3]=>[[1,2,4,6],[3,7],[5,8]]=>15 [3,8,4,2,1,7,6,5]=>[3,4,8,2,7,6,1,5]=>[5,1,6,7,2,8,4,3]=>[[1,3,4,6],[2,5,7],[8]]=>14 [8,3,1,7,5,6,2,4]=>[3,8,7,1,5,2,6,4]=>[4,6,2,5,1,7,8,3]=>[[1,2,6,7],[3,4],[5,8]]=>17 [8,4,1,7,5,2,6,3]=>[8,1,4,2,5,7,6,3]=>[3,6,7,5,2,4,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [8,4,2,7,5,3,1,6]=>[4,8,2,5,3,1,7,6]=>[6,7,1,3,5,2,8,4]=>[[1,2,5,7],[3,4],[6,8]]=>18 [8,4,3,7,5,1,2,6]=>[8,4,3,1,5,2,7,6]=>[6,7,2,5,1,3,4,8]=>[[1,2,7,8],[3,4],[5,6]]=>18 [8,5,7,6,4,3,1,2]=>[8,5,1,7,6,4,3,2]=>[2,3,4,6,7,1,5,8]=>[[1,2,3,4,5,8],[6,7]]=>25 [8,4,7,6,5,2,1,3]=>[8,7,4,2,1,6,5,3]=>[3,5,6,1,2,4,7,8]=>[[1,2,3,7,8],[4,5,6]]=>23 [4,2,6,8,1,5,7,3]=>[6,8,2,4,1,5,7,3]=>[3,7,5,1,4,2,8,6]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [3,6,2,4,8,1,7,5]=>[3,6,2,8,4,7,1,5]=>[5,1,7,4,8,2,6,3]=>[[1,3,5],[2,4,7],[6,8]]=>12 [5,2,1,6,8,3,7,4]=>[2,5,6,8,1,3,7,4]=>[4,7,3,1,8,6,5,2]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [1,5,2,6,8,3,7,4]=>[5,6,8,1,2,7,3,4]=>[4,3,7,2,1,8,6,5]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [3,5,8,1,4,6,2,7]=>[3,8,1,5,4,6,2,7]=>[7,2,6,4,5,1,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [5,1,7,8,3,6,2,4]=>[7,5,8,3,1,2,6,4]=>[4,6,2,1,3,8,5,7]=>[[1,2,6,8],[3,5,7],[4]]=>15 [7,2,8,4,1,3,5,6]=>[7,2,1,4,3,5,8,6]=>[6,8,5,3,4,1,2,7]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [6,1,7,3,2,8,4,5]=>[6,1,3,7,2,4,8,5]=>[5,8,4,2,7,3,1,6]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [6,2,1,7,3,8,4,5]=>[6,2,7,1,3,4,8,5]=>[5,8,4,3,1,7,2,6]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [7,3,1,8,2,4,6,5]=>[1,7,3,8,2,4,6,5]=>[5,6,4,2,8,3,7,1]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [7,4,2,8,3,1,5,6]=>[4,2,7,3,1,5,8,6]=>[6,8,5,1,3,7,2,4]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [7,4,2,8,3,5,1,6]=>[4,2,7,3,5,1,8,6]=>[6,8,1,5,3,7,2,4]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [4,7,8,2,1,5,6,3]=>[4,2,7,1,8,5,6,3]=>[3,6,5,8,1,7,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>16 [6,7,2,8,5,1,4,3]=>[6,7,2,8,1,5,4,3]=>[3,4,5,1,8,2,7,6]=>[[1,2,3,5],[4,6,7],[8]]=>19 [6,7,8,5,2,1,4,3]=>[6,2,1,7,8,5,4,3]=>[3,4,5,8,7,1,2,6]=>[[1,2,3,4],[5,7,8],[6]]=>21 [7,3,4,1,8,6,2,5]=>[3,4,7,1,8,2,6,5]=>[5,6,2,8,1,7,4,3]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [4,7,6,3,5,8,2,1]=>[7,6,4,3,5,8,2,1]=>[1,2,8,5,3,4,6,7]=>[[1,2,3,6,7,8],[4],[5]]=>19 [3,7,6,5,2,4,8,1]=>[7,6,5,3,2,4,8,1]=>[1,8,4,2,3,5,6,7]=>[[1,2,5,6,7,8],[3],[4]]=>17 [1,4,7,8,6,2,5,3]=>[7,4,8,6,1,5,2,3]=>[3,2,5,1,6,8,4,7]=>[[1,3,5,6],[2,7,8],[4]]=>14 [1,6,7,8,3,2,5,4]=>[1,6,7,3,8,5,2,4]=>[4,2,5,8,3,7,6,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [2,1,5,3,4,8,7,6]=>[5,8,2,7,1,3,4,6]=>[6,4,3,1,7,2,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [6,8,2,3,5,7,4,1]=>[6,2,3,8,5,7,4,1]=>[1,4,7,5,8,3,2,6]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [5,6,1,3,8,7,2,4]=>[5,8,1,3,6,2,7,4]=>[4,7,2,6,3,1,8,5]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [5,7,1,4,6,2,8,3]=>[1,5,7,4,2,6,8,3]=>[3,8,6,2,4,7,5,1]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [5,6,4,2,7,1,3,8]=>[5,2,6,4,1,7,3,8]=>[8,3,7,1,4,6,2,5]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [4,5,7,1,6,2,3,8]=>[4,5,1,7,2,6,3,8]=>[8,3,6,2,7,1,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [7,4,5,2,8,6,1,3]=>[4,2,5,7,1,8,6,3]=>[3,6,8,1,7,5,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [6,3,1,4,7,8,2,5]=>[1,3,4,6,7,2,8,5]=>[5,8,2,7,6,4,3,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>12 [4,1,8,6,5,7,2,3]=>[8,4,6,5,1,2,7,3]=>[3,7,2,1,5,6,4,8]=>[[1,2,6,8],[3,5],[4,7]]=>15 [8,7,4,6,5,1,2,3]=>[1,8,4,2,7,6,5,3]=>[3,5,6,7,2,4,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>23 [5,2,7,3,1,8,6,4]=>[5,2,3,7,8,1,6,4]=>[4,6,1,8,7,3,2,5]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [5,4,7,3,1,2,6,8]=>[5,1,7,4,3,2,6,8]=>[8,6,2,3,4,7,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [3,5,2,6,7,4,1,8]=>[5,3,6,7,2,4,1,8]=>[8,1,4,2,7,6,3,5]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [3,1,2,6,5,7,8,4]=>[6,1,3,5,7,8,2,4]=>[4,2,8,7,5,3,1,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>7 [7,3,2,6,1,4,8,5]=>[7,3,2,1,4,6,8,5]=>[5,8,6,4,1,2,3,7]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [8,3,4,6,5,2,1,7]=>[6,3,4,5,2,1,8,7]=>[7,8,1,2,5,4,3,6]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [8,1,2,5,7,4,3,6]=>[8,5,4,1,2,3,7,6]=>[6,7,3,2,1,4,5,8]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [3,2,5,6,8,4,1,7]=>[8,3,5,6,2,4,1,7]=>[7,1,4,2,6,5,3,8]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [7,2,6,8,5,4,3,1]=>[7,6,8,5,2,4,3,1]=>[1,3,4,2,5,8,6,7]=>[[1,2,3,5,6,8],[4,7]]=>21 [7,6,8,2,5,4,3,1]=>[7,2,6,8,5,4,3,1]=>[1,3,4,5,8,6,2,7]=>[[1,2,3,4,5,8],[6],[7]]=>23 [3,5,8,6,2,4,1,7]=>[5,8,6,3,2,4,1,7]=>[7,1,4,2,3,6,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>15 [8,1,5,7,2,4,3,6]=>[8,1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [3,7,5,6,2,4,1,8]=>[5,7,6,3,2,4,1,8]=>[8,1,4,2,3,6,7,5]=>[[1,3,5,6,7],[2,8],[4]]=>15 [4,2,5,1,3,6,8,7]=>[2,4,1,5,8,3,6,7]=>[7,6,3,8,5,1,4,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>7 [3,7,1,5,6,2,4,8]=>[3,5,1,7,6,2,4,8]=>[8,4,2,6,7,1,5,3]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [2,7,1,5,6,8,3,4]=>[2,7,5,6,1,8,3,4]=>[4,3,8,1,6,5,7,2]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [5,8,2,6,7,3,4,1]=>[5,8,2,6,3,7,4,1]=>[1,4,7,3,6,2,8,5]=>[[1,2,3,7],[4,5],[6,8]]=>19 [3,2,6,7,4,5,8,1]=>[6,7,3,2,4,5,8,1]=>[1,8,5,4,2,3,7,6]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [7,2,4,3,8,6,5,1]=>[4,7,8,2,3,6,5,1]=>[1,5,6,3,2,8,7,4]=>[[1,2,3,6],[4,7],[5,8]]=>16 [7,3,4,2,8,6,1,5]=>[3,4,7,8,2,1,6,5]=>[5,6,1,2,8,7,4,3]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [5,3,4,2,7,1,8,6]=>[3,5,4,7,2,8,1,6]=>[6,1,8,2,7,4,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [3,7,1,4,8,2,6,5]=>[7,1,3,4,8,6,2,5]=>[5,2,6,8,4,3,1,7]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [7,6,1,2,8,3,4,5]=>[1,7,2,3,6,4,8,5]=>[5,8,4,6,3,2,7,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>14 [6,3,2,4,8,5,1,7]=>[3,6,2,4,8,5,1,7]=>[7,1,5,8,4,2,6,3]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [6,3,1,7,4,8,2,5]=>[6,1,3,4,7,2,8,5]=>[5,8,2,7,4,3,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [7,4,6,2,8,1,3,5]=>[4,7,2,1,6,3,8,5]=>[5,8,3,6,1,2,7,4]=>[[1,2,7],[3,4,8],[5,6]]=>17 [7,4,6,1,3,8,2,5]=>[4,1,7,3,6,2,8,5]=>[5,8,2,6,3,7,1,4]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [8,4,7,1,2,5,3,6]=>[1,2,4,8,5,3,7,6]=>[6,7,3,5,8,4,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [8,5,6,7,2,1,4,3]=>[5,2,1,6,8,7,4,3]=>[3,4,7,8,6,1,2,5]=>[[1,2,3,4],[5,7,8],[6]]=>21 [8,5,6,7,1,2,4,3]=>[1,5,2,6,8,7,4,3]=>[3,4,7,8,6,2,5,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [7,1,3,6,5,4,8,2]=>[7,6,1,5,3,4,8,2]=>[2,8,4,3,5,1,6,7]=>[[1,2,5,7,8],[3],[4],[6]]=>14 [4,3,5,1,7,2,6,8]=>[4,3,5,1,7,2,6,8]=>[8,6,2,7,1,5,3,4]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [6,4,8,1,5,3,2,7]=>[6,1,4,8,5,3,2,7]=>[7,2,3,5,8,4,1,6]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [4,8,3,1,5,2,6,7]=>[1,4,3,5,2,8,6,7]=>[7,6,8,2,5,3,4,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [6,5,4,1,2,7,3,8]=>[1,2,6,5,4,7,3,8]=>[8,3,7,4,5,6,2,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>13 [7,5,1,3,4,8,2,6]=>[1,5,3,4,7,2,8,6]=>[6,8,2,7,4,3,5,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>14 [7,1,5,6,3,2,8,4]=>[7,5,1,3,2,6,8,4]=>[4,8,6,2,3,1,5,7]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [1,8,5,4,7,2,3,6]=>[5,1,8,7,2,4,3,6]=>[6,3,4,2,7,8,1,5]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [8,2,5,6,4,3,1,7]=>[5,6,4,2,3,1,8,7]=>[7,8,1,3,2,4,6,5]=>[[1,2,6,7],[3,4],[5,8]]=>17 [2,4,3,8,6,5,1,7]=>[4,8,6,2,3,5,1,7]=>[7,1,5,3,2,6,8,4]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [3,1,4,5,8,6,2,7]=>[1,8,3,4,5,6,2,7]=>[7,2,6,5,4,3,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>8 [5,1,7,3,2,8,4,6]=>[5,1,3,7,2,8,4,6]=>[6,4,8,2,7,3,1,5]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [5,7,8,1,3,2,4,6]=>[7,1,3,2,8,5,4,6]=>[6,4,5,8,2,3,1,7]=>[[1,3,4],[2,6,8],[5],[7]]=>15 [4,1,6,7,3,5,8,2]=>[6,7,4,1,3,5,8,2]=>[2,8,5,3,1,4,7,6]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [7,8,6,1,3,5,4,2]=>[1,7,8,3,6,5,4,2]=>[2,4,5,6,3,8,7,1]=>[[1,2,3,4,6],[5,7],[8]]=>21 [8,2,7,5,3,4,1,6]=>[2,8,3,5,4,1,7,6]=>[6,7,1,4,5,3,8,2]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [6,3,1,2,8,7,5,4]=>[8,1,3,6,7,2,5,4]=>[4,5,2,7,6,3,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [1,2,5,7,8,3,6,4]=>[7,5,8,1,6,2,3,4]=>[4,3,2,6,1,8,5,7]=>[[1,4,6],[2,7,8],[3],[5]]=>9 [7,6,3,4,2,1,8,5]=>[3,4,2,1,7,6,8,5]=>[5,8,6,7,1,2,4,3]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [1,8,4,5,3,7,2,6]=>[4,5,8,7,1,3,2,6]=>[6,2,3,1,7,8,5,4]=>[[1,3,5,6],[2,7],[4,8]]=>13 [6,3,4,2,7,1,5,8]=>[3,4,2,6,1,7,5,8]=>[8,5,7,1,6,2,4,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [5,6,3,7,8,2,1,4]=>[5,3,6,7,2,1,8,4]=>[4,8,1,2,7,6,3,5]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [4,3,8,6,7,5,1,2]=>[4,8,6,7,3,1,5,2]=>[2,5,1,3,7,6,8,4]=>[[1,2,5,7],[3,4,6],[8]]=>18 [4,5,6,2,7,8,3,1]=>[4,5,2,6,7,8,3,1]=>[1,3,8,7,6,2,5,4]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [4,5,6,2,7,1,8,3]=>[4,5,2,6,1,7,8,3]=>[3,8,7,1,6,2,5,4]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [4,5,6,2,1,7,8,3]=>[4,5,2,1,6,7,8,3]=>[3,8,7,6,1,2,5,4]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [4,5,6,2,1,7,3,8]=>[4,5,2,1,6,7,3,8]=>[8,3,7,6,1,2,5,4]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [8,6,3,4,1,7,2,5]=>[3,1,4,6,2,8,7,5]=>[5,7,8,2,6,4,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [5,6,3,1,7,2,4,8]=>[1,5,3,6,2,7,4,8]=>[8,4,7,2,6,3,5,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [6,8,7,2,3,1,4,5]=>[2,3,1,8,6,4,7,5]=>[5,7,4,6,8,1,3,2]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [2,5,6,7,4,1,3,8]=>[5,6,7,4,2,1,3,8]=>[8,3,1,2,4,7,6,5]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [5,3,6,7,1,4,8,2]=>[3,5,1,6,7,4,8,2]=>[2,8,4,7,6,1,5,3]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [5,6,1,8,7,4,2,3]=>[8,5,6,1,2,7,4,3]=>[3,4,7,2,1,6,5,8]=>[[1,2,3,8],[4,6],[5,7]]=>17 [6,7,3,1,2,5,4,8]=>[1,3,2,6,7,5,4,8]=>[8,4,5,7,6,2,3,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [2,5,1,8,3,7,4,6]=>[5,8,2,1,7,3,4,6]=>[6,4,3,7,1,2,8,5]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [2,3,8,6,5,7,1,4]=>[6,5,8,7,2,3,1,4]=>[4,1,3,2,7,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>14 [6,3,4,1,7,5,8,2]=>[3,1,4,6,7,5,8,2]=>[2,8,5,7,6,4,1,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [5,7,2,1,3,8,4,6]=>[2,7,1,5,3,8,4,6]=>[6,4,8,3,5,1,7,2]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [5,2,1,4,6,8,7,3]=>[2,5,8,1,4,6,7,3]=>[3,7,6,4,1,8,5,2]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [4,1,7,6,3,2,5,8]=>[4,7,1,6,3,2,5,8]=>[8,5,2,3,6,1,7,4]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [4,6,1,3,2,5,8,7]=>[6,1,4,3,8,2,5,7]=>[7,5,2,8,3,4,1,6]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [7,1,5,4,2,6,3,8]=>[1,7,2,5,4,6,3,8]=>[8,3,6,4,5,2,7,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [5,6,1,8,3,2,4,7]=>[1,5,6,3,2,8,4,7]=>[7,4,8,2,3,6,5,1]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [8,5,6,3,7,2,1,4]=>[5,3,6,2,1,8,7,4]=>[4,7,8,1,2,6,3,5]=>[[1,2,3,8],[4,5,6],[7]]=>21 [9,8,7,6,5,3,2,4,1]=>[3,2,9,8,7,6,5,4,1]=>[1,4,5,6,7,8,9,2,3]=>[[1,2,3,4,5,6,7],[8,9]]=>34 [10,9,8,7,6,5,4,2,3,1]=>[2,10,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,10,2]=>[[1,2,3,4,5,6,7,8,9],[10]]=>44 [2,4,7,5,6,8,1,3]=>[4,7,5,6,8,2,1,3]=>[3,1,2,8,6,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [7,3,4,6,2,8,1,5]=>[7,3,4,2,6,1,8,5]=>[5,8,1,6,2,4,3,7]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [2,5,4,8,6,7,3,1]=>[8,5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5,8]=>[[1,2,4,7,8],[3,5],[6]]=>15 [8,5,2,1,7,6,3,4]=>[8,2,5,1,3,7,6,4]=>[4,6,7,3,1,5,2,8]=>[[1,2,3,8],[4,6],[5,7]]=>17 [4,3,6,2,1,5,8,7]=>[4,6,3,2,8,1,5,7]=>[7,5,1,8,2,3,6,4]=>[[1,4,6,7],[2,5],[3,8]]=>10 [2,6,7,5,3,1,8,4]=>[6,2,7,5,3,8,1,4]=>[4,1,8,3,5,7,2,6]=>[[1,3,5,6],[2,4],[7,8]]=>14 [8,7,3,6,5,4,1,2]=>[8,7,3,1,6,5,4,2]=>[2,4,5,6,1,3,7,8]=>[[1,2,3,4,7,8],[5,6]]=>24 [5,8,4,1,7,3,6,2]=>[1,8,5,7,4,3,6,2]=>[2,6,3,4,7,5,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>18 [5,1,4,6,8,7,3,2]=>[5,8,4,6,7,1,3,2]=>[2,3,1,7,6,4,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>14 [7,2,1,8,5,6,4,3]=>[7,2,8,5,6,1,4,3]=>[3,4,1,6,5,8,2,7]=>[[1,2,4,6],[3,5,8],[7]]=>16 [3,6,5,1,4,8,2,7]=>[3,6,5,8,1,4,2,7]=>[7,2,4,1,8,5,6,3]=>[[1,3,5,7],[2,6],[4,8]]=>12 [6,3,5,4,8,1,2,7]=>[6,3,5,1,8,4,2,7]=>[7,2,4,8,1,5,3,6]=>[[1,3,4,8],[2,6],[5,7]]=>15 [8,2,1,5,7,3,6,4]=>[2,5,8,7,1,3,6,4]=>[4,6,3,1,7,8,5,2]=>[[1,2,5,6],[3,7],[4,8]]=>14 [2,5,1,4,6,3,8,7]=>[2,5,4,6,8,1,3,7]=>[7,3,1,8,6,4,5,2]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [3,1,5,6,4,2,8,7]=>[5,6,1,3,4,8,2,7]=>[7,2,8,4,3,1,6,5]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [8,5,6,4,3,1,7,2]=>[5,1,6,4,3,8,7,2]=>[2,7,8,3,4,6,1,5]=>[[1,2,3,6],[4,5],[7,8]]=>21 [8,3,5,6,7,1,2,4]=>[3,5,1,8,6,2,7,4]=>[4,7,2,6,8,1,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [2,1,4,7,3,6,8,5]=>[2,7,4,6,8,1,3,5]=>[5,3,1,8,6,4,7,2]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [8,6,1,4,3,7,2,5]=>[4,3,6,1,2,8,7,5]=>[5,7,8,2,1,6,3,4]=>[[1,2,3],[4,6,8],[5,7]]=>17 [8,1,4,2,6,5,7,3]=>[8,1,2,4,6,5,7,3]=>[3,7,5,6,4,2,1,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>13 [3,7,5,8,4,1,6,2]=>[7,8,3,1,5,4,6,2]=>[2,6,4,5,1,3,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>17 [3,6,5,4,8,7,1,2]=>[6,5,8,3,4,1,7,2]=>[2,7,1,4,3,8,5,6]=>[[1,2,6,8],[3,4,7],[5]]=>16 [3,6,5,4,1,7,8,2]=>[6,5,3,1,4,7,8,2]=>[2,8,7,4,1,3,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [8,6,4,3,7,2,1,5]=>[4,3,6,2,1,8,7,5]=>[5,7,8,1,2,6,3,4]=>[[1,2,3,8],[4,5,6],[7]]=>21 [8,6,4,3,1,2,7,5]=>[1,4,3,2,6,8,7,5]=>[5,7,8,6,2,3,4,1]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [7,8,1,4,3,2,6,5]=>[4,3,1,2,7,8,6,5]=>[5,6,8,7,2,1,3,4]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [5,8,1,4,3,2,6,7]=>[5,4,1,3,2,8,6,7]=>[7,6,8,2,3,1,4,5]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [5,8,1,6,7,3,2,4]=>[8,1,5,6,3,2,7,4]=>[4,7,2,3,6,5,1,8]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [7,8,1,4,3,2,5,6]=>[4,3,1,2,7,5,8,6]=>[6,8,5,7,2,1,3,4]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [8,7,4,1,3,2,5,6]=>[4,1,3,2,5,8,7,6]=>[6,7,8,5,2,3,1,4]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [5,2,3,7,4,1,8,6]=>[5,2,3,7,4,8,1,6]=>[6,1,8,4,7,3,2,5]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [2,1,7,4,3,6,8,5]=>[2,4,7,6,8,1,3,5]=>[5,3,1,8,6,7,4,2]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [8,7,1,3,4,5,6,2]=>[1,3,4,8,5,7,6,2]=>[2,6,7,5,8,4,3,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>17 [1,7,2,5,4,6,8,3]=>[7,1,5,4,6,8,2,3]=>[3,2,8,6,4,5,1,7]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [1,6,4,2,5,7,8,3]=>[1,4,6,5,7,8,2,3]=>[3,2,8,7,5,6,4,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [2,5,3,1,4,7,8,6]=>[2,5,3,7,8,1,4,6]=>[6,4,1,8,7,3,5,2]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [6,8,2,3,1,5,7,4]=>[2,3,6,1,8,5,7,4]=>[4,7,5,8,1,6,3,2]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [7,3,6,4,5,8,1,2]=>[3,7,4,6,5,1,8,2]=>[2,8,1,5,6,4,7,3]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [5,4,8,7,2,3,1,6]=>[8,5,2,7,4,3,1,6]=>[6,1,3,4,7,2,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>18 [5,8,2,1,7,4,3,6]=>[2,1,8,5,7,4,3,6]=>[6,3,4,7,5,8,1,2]=>[[1,3,4,6],[2,5],[7,8]]=>15 [6,5,7,2,1,8,4,3]=>[2,1,6,5,7,8,4,3]=>[3,4,8,7,5,6,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [1,5,4,7,3,8,6,2]=>[5,7,4,8,3,6,1,2]=>[2,1,6,3,8,4,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>12 [7,4,1,3,8,5,6,2]=>[4,7,1,3,5,8,6,2]=>[2,6,8,5,3,1,7,4]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [3,6,8,4,1,7,2,5]=>[3,8,6,4,1,7,2,5]=>[5,2,7,1,4,6,8,3]=>[[1,3,6,7],[2,5],[4,8]]=>15 [2,1,8,4,7,6,3,5]=>[8,7,2,6,4,1,3,5]=>[5,3,1,4,6,2,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>12 [2,7,5,6,8,4,3,1]=>[5,7,6,8,4,2,3,1]=>[1,3,2,4,8,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>18 [3,5,2,4,7,8,6,1]=>[5,3,7,8,2,4,6,1]=>[1,6,4,2,8,7,3,5]=>[[1,2,5,8],[3,6],[4,7]]=>12 [7,4,2,6,1,5,8,3]=>[2,4,7,1,6,5,8,3]=>[3,8,5,6,1,7,4,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [8,4,1,6,2,5,7,3]=>[4,6,1,2,5,8,7,3]=>[3,7,8,5,2,1,6,4]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [3,5,8,7,1,6,4,2]=>[5,8,7,3,6,1,4,2]=>[2,4,1,6,3,7,8,5]=>[[1,2,4,6,7],[3,5,8]]=>17 [8,4,2,7,6,1,5,3]=>[2,8,4,7,1,6,5,3]=>[3,5,6,1,7,4,8,2]=>[[1,2,3,5,7],[4,6],[8]]=>19 [8,4,7,1,2,6,5,3]=>[8,1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1,8]=>[[1,2,3,5,8],[4,6],[7]]=>18 [8,7,6,2,3,5,1,4]=>[8,2,3,1,7,6,5,4]=>[4,5,6,7,1,3,2,8]=>[[1,2,3,4,8],[5,6],[7]]=>22 [8,4,7,1,6,5,2,3]=>[8,4,1,7,2,6,5,3]=>[3,5,6,2,7,1,4,8]=>[[1,2,3,5,8],[4,7],[6]]=>20 [8,4,7,6,1,2,5,3]=>[1,4,8,7,2,6,5,3]=>[3,5,6,2,7,8,4,1]=>[[1,2,3,5,6],[4,7],[8]]=>20 [3,8,7,4,6,1,5,2]=>[3,4,8,7,6,1,5,2]=>[2,5,1,6,7,8,4,3]=>[[1,2,4,5,6],[3,7],[8]]=>19 [8,7,6,2,1,5,3,4]=>[8,2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2,8]=>[[1,2,3,4,8],[5,7],[6]]=>21 [6,8,4,7,5,2,1,3]=>[6,8,4,2,1,7,5,3]=>[3,5,7,1,2,4,8,6]=>[[1,2,3,7],[4,5,6,8]]=>22 [7,9,8,5,6,3,4,1,2]=>[9,7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7,9]=>[[1,2,3,4,9],[5,6,7,8]]=>31 [6,8,7,4,2,5,1,3]=>[2,8,6,4,1,7,5,3]=>[3,5,7,1,4,6,8,2]=>[[1,2,3,7],[4,5,6],[8]]=>22 [6,8,4,5,2,1,3,7]=>[4,2,1,8,6,5,3,7]=>[7,3,5,6,8,1,2,4]=>[[1,3,4,5],[2,7,8],[6]]=>18 [6,8,4,2,5,1,3,7]=>[2,4,1,8,6,5,3,7]=>[7,3,5,6,8,1,4,2]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [8,1,4,6,2,3,7,5]=>[1,8,2,4,3,6,7,5]=>[5,7,6,3,4,2,8,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [2,5,3,7,6,4,8,1]=>[7,2,5,6,3,4,8,1]=>[1,8,4,3,6,5,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [3,1,6,5,4,7,2,8]=>[6,5,1,3,4,7,2,8]=>[8,2,7,4,3,1,5,6]=>[[1,3,7,8],[2],[4],[5],[6]]=>9 [2,5,6,8,3,4,7,1]=>[8,5,2,6,3,4,7,1]=>[1,7,4,3,6,2,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [3,6,2,4,5,7,1,8]=>[3,2,6,4,5,7,1,8]=>[8,1,7,5,4,6,2,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [3,6,2,5,4,7,1,8]=>[3,6,5,2,4,7,1,8]=>[8,1,7,4,2,5,6,3]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [3,5,1,7,6,4,2,8]=>[7,3,5,6,1,4,2,8]=>[8,2,4,1,6,5,3,7]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [3,6,1,4,5,7,2,8]=>[6,3,1,4,5,7,2,8]=>[8,2,7,5,4,1,3,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [4,1,2,6,5,3,7,8]=>[6,1,2,4,5,3,7,8]=>[8,7,3,5,4,2,1,6]=>[[1,4,8],[2],[3],[5],[6],[7]]=>6 [4,6,1,3,5,2,7,8]=>[4,1,6,3,5,2,7,8]=>[8,7,2,5,3,6,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [4,2,6,3,5,1,7,8]=>[4,2,6,3,5,1,7,8]=>[8,7,1,5,3,6,2,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [2,5,4,7,3,6,8,1]=>[5,7,4,2,3,6,8,1]=>[1,8,6,3,2,4,7,5]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [2,5,4,8,6,1,7,3]=>[8,5,4,6,2,7,1,3]=>[3,1,7,2,6,4,5,8]=>[[1,3,5,7,8],[2,4],[6]]=>13 [2,6,5,1,4,8,7,3]=>[2,6,5,8,4,7,1,3]=>[3,1,7,4,8,5,6,2]=>[[1,3,5,7],[2,4,6],[8]]=>12 [2,6,5,1,7,3,8,4]=>[2,6,5,1,7,8,3,4]=>[4,3,8,7,1,5,6,2]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [5,8,4,7,1,3,6,2]=>[5,4,1,8,7,3,6,2]=>[2,6,3,7,8,1,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>19 [5,8,3,2,7,4,6,1]=>[3,5,2,8,7,4,6,1]=>[1,6,4,7,8,2,5,3]=>[[1,2,4,5],[3,7],[6,8]]=>18 [6,8,3,1,5,4,7,2]=>[8,1,3,6,5,4,7,2]=>[2,7,4,5,6,3,1,8]=>[[1,2,4,5,8],[3],[6],[7]]=>17 [6,8,1,2,5,3,7,4]=>[1,6,2,3,8,5,7,4]=>[4,7,5,8,3,2,6,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [5,2,8,3,4,6,7,1]=>[2,3,8,5,4,6,7,1]=>[1,7,6,4,5,8,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>14 [4,5,2,6,1,3,7,8]=>[4,2,5,1,6,3,7,8]=>[8,7,3,6,1,5,2,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [6,1,2,4,7,3,5,8]=>[4,6,1,2,3,7,5,8]=>[8,5,7,3,2,1,6,4]=>[[1,3],[2,7],[4,8],[5],[6]]=>8 [5,3,1,6,4,7,2,8]=>[1,3,5,6,4,7,2,8]=>[8,2,7,4,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>10 [1,2,4,5,8,7,3,6]=>[8,7,4,5,1,2,3,6]=>[6,3,2,1,5,4,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,3,4,7,5,8,6,2]=>[3,7,8,4,5,6,1,2]=>[2,1,6,5,4,8,7,3]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [1,5,2,3,7,8,6,4]=>[7,8,1,2,5,6,3,4]=>[4,3,6,5,2,1,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [4,2,8,1,6,5,7,3]=>[2,8,4,6,1,5,7,3]=>[3,7,5,1,6,4,8,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [1,3,5,7,9,2,4,6,8]=>[9,7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>10 [5,6,1,4,8,3,2,7]=>[5,6,8,1,4,3,2,7]=>[7,2,3,4,1,8,6,5]=>[[1,3,4,6],[2,7],[5,8]]=>14 [3,6,4,1,7,2,8,5]=>[3,6,4,1,7,8,2,5]=>[5,2,8,7,1,4,6,3]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [2,4,1,5,3,6,7,8,9,10]=>[4,2,5,1,3,6,7,8,9,10]=>[10,9,8,7,6,3,1,5,2,4]=>[[1,8,10],[2,9],[3],[4],[5],[6],[7]]=>4 [2,4,1,3,7,8,6,5]=>[4,7,8,2,6,1,3,5]=>[5,3,1,6,2,8,7,4]=>[[1,4,6],[2,5,7],[3,8]]=>8 [4,7,6,8,2,3,5,1]=>[7,6,2,8,4,3,5,1]=>[1,5,3,4,8,2,6,7]=>[[1,2,4,5,8],[3,7],[6]]=>19 [5,7,4,8,1,2,6,3]=>[1,7,5,4,8,2,6,3]=>[3,6,2,8,4,5,7,1]=>[[1,2,4,7],[3,5,6],[8]]=>17 [3,6,7,5,8,1,4,2]=>[6,7,5,3,8,1,4,2]=>[2,4,1,8,3,5,7,6]=>[[1,2,4,7],[3,5,6],[8]]=>17 [2,7,1,6,8,4,5,3]=>[7,6,2,4,8,5,1,3]=>[3,1,5,8,4,2,6,7]=>[[1,3,4,8],[2,5,7],[6]]=>14 [1,4,7,5,8,3,6,2]=>[4,7,8,5,3,6,1,2]=>[2,1,6,3,5,8,7,4]=>[[1,3,5,6],[2,4,7],[8]]=>13 [4,7,8,6,2,5,1,3]=>[7,4,8,6,2,1,5,3]=>[3,5,1,2,6,8,4,7]=>[[1,2,5,6],[3,4,7,8]]=>20 [5,8,7,1,4,6,3,2]=>[8,5,1,7,4,6,3,2]=>[2,3,6,4,7,1,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>20 [6,2,5,1,3,4,8,7]=>[2,1,6,3,5,8,4,7]=>[7,4,8,5,3,6,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [4,6,5,1,2,7,3,8]=>[1,6,4,2,5,7,3,8]=>[8,3,7,5,2,4,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [5,6,4,1,2,7,3,8]=>[1,5,2,6,4,7,3,8]=>[8,3,7,4,6,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [8,1,5,6,2,4,3,7]=>[1,5,6,4,2,3,8,7]=>[7,8,3,2,4,6,5,1]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [6,4,5,1,2,7,3,8]=>[1,4,2,6,5,7,3,8]=>[8,3,7,5,6,2,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [5,7,1,4,3,2,6,8]=>[7,5,1,4,3,2,6,8]=>[8,6,2,3,4,1,5,7]=>[[1,4,5,7,8],[2],[3],[6]]=>12 [2,6,4,1,3,7,5,8]=>[6,2,1,4,7,3,5,8]=>[8,5,3,7,4,1,2,6]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [7,5,4,3,8,6,1,2]=>[5,4,3,7,1,8,6,2]=>[2,6,8,1,7,3,4,5]=>[[1,2,3,8],[4,5,7],[6]]=>20 [2,7,4,3,1,8,6,5]=>[4,2,3,7,8,6,1,5]=>[5,1,6,8,7,3,2,4]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [7,8,5,3,2,1,6,4]=>[3,2,1,7,5,8,6,4]=>[4,6,8,5,7,1,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>20 [6,1,4,8,2,7,5,3]=>[6,8,1,4,7,2,5,3]=>[3,5,2,7,4,1,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>14 [7,4,8,1,2,5,3,6]=>[1,4,7,2,5,3,8,6]=>[6,8,3,5,2,7,4,1]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [6,2,8,1,5,4,3,7]=>[2,6,8,1,5,4,3,7]=>[7,3,4,5,1,8,6,2]=>[[1,3,4,6],[2,7],[5,8]]=>14 [1,3,5,6,8,2,7,4]=>[8,5,6,3,7,1,2,4]=>[4,2,1,7,3,6,5,8]=>[[1,4,6,8],[2,5],[3,7]]=>9 [7,6,4,1,3,2,5,8]=>[4,1,3,2,7,6,5,8]=>[8,5,6,7,2,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>15 [5,2,3,7,1,8,4,6]=>[5,2,3,7,1,8,4,6]=>[6,4,8,1,7,3,2,5]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [7,2,3,1,8,4,6,5]=>[7,2,3,8,1,4,6,5]=>[5,6,4,1,8,3,2,7]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [3,5,4,1,6,8,7,2]=>[5,3,8,1,4,6,7,2]=>[2,7,6,4,1,8,3,5]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [2,5,3,1,4,8,7,6]=>[2,5,8,3,7,1,4,6]=>[6,4,1,7,3,8,5,2]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [5,4,1,7,3,2,8,6]=>[1,5,4,7,3,8,2,6]=>[6,2,8,3,7,4,5,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [7,3,4,5,1,8,6,2]=>[3,4,1,5,7,8,6,2]=>[2,6,8,7,5,1,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [1,5,6,7,4,8,2,3]=>[5,6,7,4,1,8,2,3]=>[3,2,8,1,4,7,6,5]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [5,7,1,8,4,6,3,2]=>[7,8,5,1,4,6,3,2]=>[2,3,6,4,1,5,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>18 [7,8,1,5,4,3,2,6]=>[7,5,4,1,3,2,8,6]=>[6,8,2,3,1,4,5,7]=>[[1,2,6,7,8],[3,4],[5]]=>18 [3,2,7,5,1,6,4,8]=>[3,7,5,2,6,1,4,8]=>[8,4,1,6,2,5,7,3]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [6,3,2,5,7,4,8,1]=>[3,6,2,5,7,4,8,1]=>[1,8,4,7,5,2,6,3]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [5,7,3,8,1,2,4,6]=>[1,7,5,3,2,8,4,6]=>[6,4,8,2,3,5,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [4,5,2,7,6,3,1,8]=>[4,7,2,5,6,3,1,8]=>[8,1,3,6,5,2,7,4]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [4,5,2,1,7,6,3,8]=>[4,2,7,1,5,6,3,8]=>[8,3,6,5,1,7,2,4]=>[[1,3,6],[2,7,8],[4],[5]]=>10 [2,7,5,6,1,4,3,8]=>[5,2,7,6,4,1,3,8]=>[8,3,1,4,6,7,2,5]=>[[1,4,5,6],[2,7,8],[3]]=>13 [7,4,5,3,8,1,2,6]=>[4,5,3,1,7,2,8,6]=>[6,8,2,7,1,3,5,4]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [3,6,1,5,7,4,8,2]=>[6,3,5,7,1,4,8,2]=>[2,8,4,1,7,5,3,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [2,6,7,8,3,1,4,5]=>[6,2,7,3,1,8,4,5]=>[5,4,8,1,3,7,2,6]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [6,3,2,5,1,7,8,4]=>[3,6,2,1,5,7,8,4]=>[4,8,7,5,1,2,6,3]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [4,6,3,7,8,2,1,5]=>[6,4,7,8,3,2,1,5]=>[5,1,2,3,8,7,4,6]=>[[1,3,4,5,8],[2,6],[7]]=>16 [4,6,3,7,8,2,5,1]=>[6,4,7,8,3,2,5,1]=>[1,5,2,3,8,7,4,6]=>[[1,2,4,5,8],[3,6],[7]]=>17 [6,7,3,4,8,2,5,1]=>[3,6,4,7,2,8,5,1]=>[1,5,8,2,7,4,6,3]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [7,3,4,1,5,8,2,6]=>[3,1,4,5,7,2,8,6]=>[6,8,2,7,5,4,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>13 [5,6,7,1,8,4,2,3]=>[1,5,6,7,2,8,4,3]=>[3,4,8,2,7,6,5,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [1,7,8,4,6,5,2,3]=>[4,7,1,8,6,5,2,3]=>[3,2,5,6,8,1,7,4]=>[[1,3,4,5],[2,7],[6,8]]=>17 [1,7,3,2,8,6,5,4]=>[7,8,1,6,3,5,2,4]=>[4,2,5,3,6,1,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>12 [3,7,1,2,8,6,5,4]=>[7,8,1,3,6,5,2,4]=>[4,2,5,6,3,1,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>13 [2,7,8,1,6,5,3,4]=>[7,8,2,1,6,5,3,4]=>[4,3,5,6,1,2,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>16 [6,8,1,3,4,7,5,2]=>[1,6,8,3,4,7,5,2]=>[2,5,7,4,3,8,6,1]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [6,2,8,7,1,5,3,4]=>[6,8,2,1,7,3,5,4]=>[4,5,3,7,1,2,8,6]=>[[1,2,4,7],[3,6,8],[5]]=>17 [2,5,8,1,7,6,3,4]=>[8,5,7,2,1,6,3,4]=>[4,3,6,1,2,7,5,8]=>[[1,3,6,8],[2,5,7],[4]]=>14 [8,1,5,7,3,4,6,2]=>[1,8,7,3,5,4,6,2]=>[2,6,4,5,3,7,8,1]=>[[1,2,4,6,7],[3],[5],[8]]=>17 [5,8,2,7,6,3,1,4]=>[8,5,2,7,3,1,6,4]=>[4,6,1,3,7,2,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>19 [2,8,4,7,6,3,1,5]=>[8,7,6,2,4,3,1,5]=>[5,1,3,4,2,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>17 [1,8,2,4,7,6,3,5]=>[8,7,6,1,2,4,3,5]=>[5,3,4,2,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>12 [1,4,8,7,6,3,2,5]=>[8,7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>15 [1,8,4,7,6,3,2,5]=>[8,7,6,4,1,3,2,5]=>[5,2,3,1,4,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>16 [2,5,1,6,8,7,4,3]=>[8,2,5,6,7,4,1,3]=>[3,1,4,7,6,5,2,8]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [4,5,8,7,1,6,2,3]=>[4,8,5,1,7,2,6,3]=>[3,6,2,7,1,5,8,4]=>[[1,2,4,7],[3,6],[5,8]]=>17 [1,8,2,4,6,7,5,3]=>[1,8,6,7,4,5,2,3]=>[3,2,5,4,7,6,8,1]=>[[1,3,5,7],[2,4,6],[8]]=>12 [1,4,7,3,8,5,6,2]=>[4,7,3,8,5,6,1,2]=>[2,1,6,5,8,3,7,4]=>[[1,3,5],[2,4,7],[6,8]]=>12 [2,3,7,8,1,5,6,4]=>[2,7,3,8,5,6,1,4]=>[4,1,6,5,8,3,7,2]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [2,5,1,8,4,7,6,3]=>[5,8,2,7,4,6,1,3]=>[3,1,6,4,7,2,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>12 [2,1,7,4,8,6,5,3]=>[7,8,2,6,4,5,1,3]=>[3,1,5,4,6,2,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>12 [3,4,2,8,1,7,6,5]=>[3,8,4,7,2,6,1,5]=>[5,1,6,2,7,4,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>12 [2,4,5,8,1,7,6,3]=>[4,8,5,7,2,6,1,3]=>[3,1,6,2,7,5,8,4]=>[[1,3,5,7],[2,4,6],[8]]=>12 [2,3,8,5,1,7,6,4]=>[2,8,5,7,3,6,1,4]=>[4,1,6,3,7,5,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>12 [3,1,8,2,6,7,5,4]=>[3,8,6,7,1,5,2,4]=>[4,2,5,1,7,6,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>12 [2,6,8,1,4,3,7,5]=>[2,6,1,8,4,7,3,5]=>[5,3,7,4,8,1,6,2]=>[[1,3,5],[2,4,7],[6,8]]=>12 [4,1,8,2,6,7,3,5]=>[4,8,1,6,2,7,3,5]=>[5,3,7,2,6,1,8,4]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [1,6,5,2,8,7,3,4]=>[6,8,1,5,2,7,3,4]=>[4,3,7,2,5,1,8,6]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [2,6,1,5,8,7,3,4]=>[6,8,2,5,1,7,3,4]=>[4,3,7,1,5,2,8,6]=>[[1,3,7],[2,5,8],[4,6]]=>12 [8,1,3,2,7,6,4,5]=>[8,7,3,1,2,4,6,5]=>[5,6,4,2,1,3,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [8,1,6,5,3,2,7,4]=>[8,1,3,2,6,5,7,4]=>[4,7,5,6,2,3,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [8,1,7,6,3,2,5,4]=>[1,8,3,7,6,2,5,4]=>[4,5,2,6,7,3,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>18 [7,4,6,8,1,2,5,3]=>[1,7,4,2,6,8,5,3]=>[3,5,8,6,2,4,7,1]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [6,7,5,3,2,8,1,4]=>[6,3,2,7,5,1,8,4]=>[4,8,1,5,7,2,3,6]=>[[1,2,5,8],[3,4,7],[6]]=>19 [6,2,5,3,4,1,7,8]=>[2,6,3,5,4,1,7,8]=>[8,7,1,4,5,3,6,2]=>[[1,4,5,7],[2],[3],[6],[8]]=>11 [6,7,5,3,2,8,4,1]=>[6,3,2,7,5,8,4,1]=>[1,4,8,5,7,2,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>20 [6,2,5,3,7,1,4,8]=>[2,6,3,5,1,7,4,8]=>[8,4,7,1,5,3,6,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [7,6,1,3,5,2,4,8]=>[7,3,1,2,6,5,4,8]=>[8,4,5,6,2,1,3,7]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [7,6,1,4,5,2,3,8]=>[7,1,4,2,6,5,3,8]=>[8,3,5,6,2,4,1,7]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [6,3,5,1,8,7,4,2]=>[3,6,8,1,5,7,4,2]=>[2,4,7,5,1,8,6,3]=>[[1,2,3,6],[4,7],[5,8]]=>16 [6,8,5,3,2,7,4,1]=>[3,2,8,6,5,7,4,1]=>[1,4,7,5,6,8,2,3]=>[[1,2,3,5,6],[4,8],[7]]=>21 [6,3,4,7,2,8,1,5]=>[3,4,6,2,7,1,8,5]=>[5,8,1,7,2,6,4,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [6,3,4,8,2,7,1,5]=>[3,4,6,8,2,1,7,5]=>[5,7,1,2,8,6,4,3]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [5,8,6,4,3,2,7,1]=>[5,8,6,4,3,2,7,1]=>[1,7,2,3,4,6,8,5]=>[[1,2,4,5,6,7],[3],[8]]=>21 [6,1,5,4,7,2,3,8]=>[6,5,4,1,2,7,3,8]=>[8,3,7,2,1,4,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [6,8,5,4,7,1,3,2]=>[1,8,6,5,4,7,3,2]=>[2,3,7,4,5,6,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>22 [5,8,7,4,3,2,6,1]=>[8,7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7,8]=>[[1,2,4,5,6,7,8],[3]]=>22 [8,1,2,6,3,5,4,7]=>[6,1,5,2,3,4,8,7]=>[7,8,4,3,2,5,1,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [6,1,5,4,7,8,3,2]=>[6,5,4,7,8,1,3,2]=>[2,3,1,8,7,4,5,6]=>[[1,2,4,7,8],[3,5],[6]]=>15 [8,2,5,4,1,3,6,7]=>[5,4,2,1,3,6,8,7]=>[7,8,6,3,1,2,4,5]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [3,8,5,4,2,7,6,1]=>[5,3,4,8,7,2,6,1]=>[1,6,2,7,8,4,3,5]=>[[1,2,4,5],[3,6,8],[7]]=>17 [3,6,8,4,7,5,2,1]=>[6,8,3,7,4,5,2,1]=>[1,2,5,4,7,3,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>19 [5,6,1,4,8,7,2,3]=>[5,6,8,1,4,2,7,3]=>[3,7,2,4,1,8,6,5]=>[[1,2,6],[3,4,7],[5,8]]=>15 [7,6,5,3,1,4,8,2]=>[1,3,7,6,5,4,8,2]=>[2,8,4,5,6,7,3,1]=>[[1,2,4,5,6],[3],[7],[8]]=>19 [1,6,2,4,5,8,7,3]=>[1,6,8,4,5,7,2,3]=>[3,2,7,5,4,8,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [1,6,8,4,2,5,7,3]=>[1,4,8,6,5,7,2,3]=>[3,2,7,5,6,8,4,1]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [2,8,1,6,3,7,5,4]=>[2,6,8,7,1,5,3,4]=>[4,3,5,1,7,8,6,2]=>[[1,3,5,6],[2,7],[4,8]]=>13 [2,6,1,4,5,7,8,3]=>[2,4,6,5,7,8,1,3]=>[3,1,8,7,5,6,4,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [7,5,2,1,3,6,8,4]=>[2,1,3,5,7,6,8,4]=>[4,8,6,7,5,3,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [7,1,2,8,3,4,6,5]=>[1,2,7,8,3,4,6,5]=>[5,6,4,3,8,7,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [7,6,3,8,4,1,2,5]=>[7,3,1,6,4,2,8,5]=>[5,8,2,4,6,1,3,7]=>[[1,2,5,8],[3,4],[6,7]]=>19 [7,1,3,2,6,5,4,8]=>[7,3,6,1,2,5,4,8]=>[8,4,5,2,1,6,3,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [1,4,2,7,6,5,3,8]=>[7,6,1,4,5,2,3,8]=>[8,3,2,5,4,1,6,7]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [1,5,2,8,6,4,7,3]=>[5,8,6,1,4,7,2,3]=>[3,2,7,4,1,6,8,5]=>[[1,3,6,7],[2,4],[5,8]]=>11 [1,8,4,2,6,5,7,3]=>[6,1,4,5,8,7,2,3]=>[3,2,7,8,5,4,1,6]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [1,6,5,2,7,4,8,3]=>[6,1,5,7,4,8,2,3]=>[3,2,8,4,7,5,1,6]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [1,8,5,6,4,2,7,3]=>[5,1,6,4,8,7,2,3]=>[3,2,7,8,4,6,1,5]=>[[1,3,4],[2,5,6],[7,8]]=>15 [7,1,8,6,4,2,5,3]=>[1,7,2,8,6,4,5,3]=>[3,5,4,6,8,2,7,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [4,1,6,8,5,2,7,3]=>[8,6,4,1,2,5,7,3]=>[3,7,5,2,1,4,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [6,8,1,5,2,3,7,4]=>[1,2,6,3,8,5,7,4]=>[4,7,5,8,3,6,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [1,3,8,5,6,2,7,4]=>[5,6,3,8,7,1,2,4]=>[4,2,1,7,8,3,6,5]=>[[1,4,5],[2,6,7],[3,8]]=>11 [1,5,3,6,7,2,8,4]=>[5,6,7,1,3,8,2,4]=>[4,2,8,3,1,7,6,5]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [1,8,5,4,6,2,7,3]=>[5,4,1,6,8,7,2,3]=>[3,2,7,8,6,1,4,5]=>[[1,3,4],[2,5,8],[6,7]]=>14 [1,7,5,4,6,2,8,3]=>[5,4,1,7,6,8,2,3]=>[3,2,8,6,7,1,4,5]=>[[1,3,5],[2,4,8],[6,7]]=>13 [5,8,4,1,6,2,7,3]=>[5,1,4,2,8,6,7,3]=>[3,7,6,8,2,4,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [4,5,3,1,2,8,7,6]=>[4,1,5,8,3,7,2,6]=>[6,2,7,3,8,5,1,4]=>[[1,3,5],[2,4,6],[7,8]]=>11 [6,4,2,3,1,8,7,5]=>[2,4,3,8,1,6,7,5]=>[5,7,6,1,8,3,4,2]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [6,5,2,1,3,8,7,4]=>[2,1,3,6,8,5,7,4]=>[4,7,5,8,6,3,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [7,6,1,8,2,5,3,4]=>[7,1,6,2,3,8,5,4]=>[4,5,8,3,2,6,1,7]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [5,7,8,1,2,4,3,6]=>[1,2,7,8,5,4,3,6]=>[6,3,4,5,8,7,2,1]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [1,7,6,8,3,5,4,2]=>[3,7,6,8,5,4,1,2]=>[2,1,4,5,8,6,7,3]=>[[1,3,4,5,7],[2,6],[8]]=>17 [5,7,6,4,2,1,3,8]=>[7,5,2,1,6,4,3,8]=>[8,3,4,6,1,2,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>17 [4,7,1,8,3,2,5,6]=>[1,4,7,3,2,8,5,6]=>[6,5,8,2,3,7,4,1]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [1,7,8,6,4,5,3,2]=>[7,4,8,6,5,3,1,2]=>[2,1,3,5,6,8,4,7]=>[[1,3,4,5,6],[2,7,8]]=>19 [3,2,8,6,4,5,1,7]=>[8,3,2,6,4,5,1,7]=>[7,1,5,4,6,2,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [1,6,8,7,4,3,5,2]=>[8,6,4,3,7,5,1,2]=>[2,1,5,7,3,4,6,8]=>[[1,3,4,7,8],[2,5,6]]=>17 [7,3,4,2,8,1,5,6]=>[3,4,7,2,1,5,8,6]=>[6,8,5,1,2,7,4,3]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [7,1,4,3,5,8,2,6]=>[4,3,5,7,1,2,8,6]=>[6,8,2,1,7,5,3,4]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [3,1,2,6,8,7,5,4]=>[8,6,7,1,3,5,2,4]=>[4,2,5,3,1,7,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>10 [8,5,6,3,7,4,1,2]=>[5,3,6,1,8,7,4,2]=>[2,4,7,8,1,6,3,5]=>[[1,2,3,4],[5,6,8],[7]]=>22 [5,7,4,2,1,8,6,3]=>[2,1,7,5,8,4,6,3]=>[3,6,4,8,5,7,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>16 [7,4,8,1,6,3,2,5]=>[1,7,4,8,3,2,6,5]=>[5,6,2,3,8,4,7,1]=>[[1,2,5,7],[3,4,6],[8]]=>18 [7,4,8,3,6,2,1,5]=>[7,4,8,3,2,1,6,5]=>[5,6,1,2,3,8,4,7]=>[[1,2,5,6,8],[3,4,7]]=>20 [6,4,8,2,3,5,7,1]=>[2,6,4,3,8,5,7,1]=>[1,7,5,8,3,4,6,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [6,2,4,1,5,8,3,7]=>[2,1,6,8,4,5,3,7]=>[7,3,5,4,8,6,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [6,2,4,8,1,5,7,3]=>[2,6,8,4,1,5,7,3]=>[3,7,5,1,4,8,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [6,8,2,4,1,5,3,7]=>[2,1,8,4,6,5,3,7]=>[7,3,5,6,4,8,1,2]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [6,4,8,2,5,7,1,3]=>[4,6,2,8,5,1,7,3]=>[3,7,1,5,8,2,6,4]=>[[1,2,5],[3,4,7],[6,8]]=>18 [6,2,4,5,8,3,7,1]=>[2,6,8,4,5,3,7,1]=>[1,7,3,5,4,8,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [6,8,2,4,7,3,5,1]=>[6,8,2,4,3,7,5,1]=>[1,5,7,3,4,2,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>19 [4,6,8,2,5,1,7,3]=>[6,8,4,2,1,5,7,3]=>[3,7,5,1,2,4,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>16 [4,6,8,2,5,7,3,1]=>[6,8,4,2,5,7,3,1]=>[1,3,7,5,2,4,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>18 [6,8,4,2,3,7,1,5]=>[2,6,4,8,3,1,7,5]=>[5,7,1,3,8,4,6,2]=>[[1,2,5,7],[3,4,6],[8]]=>18 [6,4,8,2,3,7,1,5]=>[4,2,6,8,3,1,7,5]=>[5,7,1,3,8,6,2,4]=>[[1,2,5],[3,4,6],[7,8]]=>17 [4,8,2,6,7,5,1,3]=>[4,8,6,7,2,1,5,3]=>[3,5,1,2,7,6,8,4]=>[[1,2,5,7],[3,4,6],[8]]=>18 [8,2,4,6,7,5,1,3]=>[2,8,6,7,4,1,5,3]=>[3,5,1,4,7,6,8,2]=>[[1,2,5,7],[3,4,6],[8]]=>18 [6,8,2,4,1,7,3,5]=>[6,2,4,1,8,3,7,5]=>[5,7,3,8,1,4,2,6]=>[[1,2,4],[3,6,8],[5,7]]=>16 [8,6,2,4,1,7,3,5]=>[4,2,6,1,3,8,7,5]=>[5,7,8,3,1,6,2,4]=>[[1,2,3],[4,6,8],[5,7]]=>17 [3,7,2,6,1,5,8,4]=>[7,3,2,6,5,8,1,4]=>[4,1,8,5,6,2,3,7]=>[[1,3,5,8],[2,4,7],[6]]=>13 [3,6,5,7,2,8,1,4]=>[6,5,7,3,8,2,1,4]=>[4,1,2,8,3,7,5,6]=>[[1,3,4,6,8],[2,5],[7]]=>15 [7,6,2,1,8,4,5,3]=>[7,2,6,1,4,8,5,3]=>[3,5,8,4,1,6,2,7]=>[[1,2,3,8],[4,6],[5,7]]=>17 [2,7,6,8,4,5,3,1]=>[7,6,4,8,5,2,3,1]=>[1,3,2,5,8,4,6,7]=>[[1,2,4,5,8],[3,6,7]]=>19 [2,4,8,6,5,3,7,1]=>[8,4,6,5,2,3,7,1]=>[1,7,3,2,5,6,4,8]=>[[1,2,5,6,8],[3,7],[4]]=>15 [5,4,8,2,6,7,1,3]=>[5,8,4,2,6,1,7,3]=>[3,7,1,6,2,4,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>17 [2,4,8,5,6,7,3,1]=>[4,5,8,6,7,2,3,1]=>[1,3,2,7,6,8,5,4]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [4,5,2,3,8,7,1,6]=>[4,8,2,5,7,3,1,6]=>[6,1,3,7,5,2,8,4]=>[[1,3,4,7],[2,5],[6,8]]=>13 [3,1,5,4,6,7,2,8]=>[5,1,3,4,6,7,2,8]=>[8,2,7,6,4,3,1,5]=>[[1,3,8],[2],[4],[5],[6],[7]]=>7 [2,5,4,7,6,1,3,8]=>[5,7,4,6,2,1,3,8]=>[8,3,1,2,6,4,7,5]=>[[1,4,5,7],[2,6,8],[3]]=>11 [4,2,3,7,6,1,5,8]=>[7,2,4,6,3,1,5,8]=>[8,5,1,3,6,4,2,7]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [4,2,7,3,5,1,6,8]=>[2,7,4,3,5,1,6,8]=>[8,6,1,5,3,4,7,2]=>[[1,4,6,7],[2],[3],[5],[8]]=>10 [5,6,2,3,1,7,8,4]=>[2,5,3,1,6,7,8,4]=>[4,8,7,6,1,3,5,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [6,2,7,3,5,1,4,8]=>[2,6,7,3,1,5,4,8]=>[8,4,5,1,3,7,6,2]=>[[1,3,6],[2,5,7],[4],[8]]=>13 [6,5,2,3,1,7,8,4]=>[2,3,1,6,5,7,8,4]=>[4,8,7,5,6,1,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [6,5,2,3,8,4,7,1]=>[6,2,5,3,8,4,7,1]=>[1,7,4,8,3,5,2,6]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [8,6,2,3,1,5,4,7]=>[2,3,6,1,5,4,8,7]=>[7,8,4,5,1,6,3,2]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [8,2,6,3,1,7,4,5]=>[2,3,8,1,6,4,7,5]=>[5,7,4,6,1,8,3,2]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [8,5,2,7,3,4,6,1]=>[2,5,3,8,4,7,6,1]=>[1,6,7,4,8,3,5,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [1,7,2,4,5,6,8,3]=>[1,4,7,5,6,8,2,3]=>[3,2,8,6,5,7,4,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [2,7,8,1,5,6,3,4]=>[7,2,5,1,8,6,3,4]=>[4,3,6,8,1,5,2,7]=>[[1,3,4],[2,6,8],[5,7]]=>15 [6,8,2,3,1,5,4,7]=>[2,3,8,1,6,5,4,7]=>[7,4,5,6,1,8,3,2]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [5,8,2,3,1,6,4,7]=>[2,3,1,5,8,6,4,7]=>[7,4,6,8,5,1,3,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [5,7,2,1,4,6,8,3]=>[2,5,1,7,4,6,8,3]=>[3,8,6,4,7,1,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [4,2,7,1,5,6,8,3]=>[7,2,4,1,5,6,8,3]=>[3,8,6,5,1,4,2,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [4,2,3,8,1,7,5,6]=>[4,8,2,7,3,1,5,6]=>[6,5,1,3,7,2,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [5,1,3,2,6,7,8,4]=>[3,1,2,5,6,7,8,4]=>[4,8,7,6,5,2,1,3]=>[[1,2],[3,8],[4],[5],[6],[7]]=>8 [6,1,3,4,2,7,5,8]=>[3,4,1,2,6,7,5,8]=>[8,5,7,6,2,1,4,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>8 [7,2,1,3,5,8,4,6]=>[2,5,7,1,3,4,8,6]=>[6,8,4,3,1,7,5,2]=>[[1,2],[3,6],[4,7],[5,8]]=>10 [6,8,7,2,3,4,5,1]=>[2,3,8,6,4,7,5,1]=>[1,5,7,4,6,8,3,2]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [3,7,2,8,1,4,5,6]=>[7,3,2,1,4,8,5,6]=>[6,5,8,4,1,2,3,7]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [5,2,3,7,4,6,1,8]=>[5,2,3,7,4,6,1,8]=>[8,1,6,4,7,3,2,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [2,5,3,7,4,6,1,8]=>[5,2,7,3,4,6,1,8]=>[8,1,6,4,3,7,2,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [2,6,7,3,4,5,1,8]=>[2,6,3,7,4,5,1,8]=>[8,1,5,4,7,3,6,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [3,8,4,5,2,1,6,7]=>[3,4,5,2,1,8,6,7]=>[7,6,8,1,2,5,4,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>13 [10,8,6,4,2,9,7,5,3,1]=>[2,4,6,8,10,9,7,5,3,1]=>[1,3,5,7,9,10,8,6,4,2]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>35 [7,5,2,6,1,8,3,4]=>[2,1,7,5,6,3,8,4]=>[4,8,3,6,5,7,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [5,2,1,3,6,7,8,4]=>[2,1,3,5,6,7,8,4]=>[4,8,7,6,5,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>8 [1,6,5,7,2,8,3,4]=>[1,6,5,7,2,8,3,4]=>[4,3,8,2,7,5,6,1]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [7,5,2,6,1,8,4,3]=>[2,1,7,5,6,8,4,3]=>[3,4,8,6,5,7,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [6,1,5,2,7,8,4,3]=>[6,1,5,7,8,2,4,3]=>[3,4,2,8,7,5,1,6]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [1,6,5,7,2,8,4,3]=>[1,6,5,7,8,4,2,3]=>[3,2,4,8,7,5,6,1]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [7,5,6,2,8,1,4,3]=>[2,5,1,7,6,8,4,3]=>[3,4,8,6,7,1,5,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [1,5,4,6,2,8,7,3]=>[5,4,8,1,6,7,2,3]=>[3,2,7,6,1,8,4,5]=>[[1,3,6],[2,4,8],[5,7]]=>10 [7,5,1,3,6,8,4,2]=>[1,3,7,5,6,8,4,2]=>[2,4,8,6,5,7,3,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>16 [1,5,4,6,2,8,3,7]=>[5,4,6,1,8,2,3,7]=>[7,3,2,8,1,6,4,5]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [1,5,6,4,8,2,3,7]=>[5,6,1,8,4,2,3,7]=>[7,3,2,4,8,1,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [7,5,6,8,4,1,3,2]=>[5,1,7,6,8,4,3,2]=>[2,3,4,8,6,7,1,5]=>[[1,2,3,4,6],[5,8],[7]]=>22 [8,3,7,5,1,4,2,6]=>[3,8,1,5,4,2,7,6]=>[6,7,2,4,5,1,8,3]=>[[1,2,5,7],[3,4],[6,8]]=>18 [5,4,1,7,6,2,3,8]=>[5,7,1,4,2,6,3,8]=>[8,3,6,2,4,1,7,5]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [8,3,2,6,4,5,1,7]=>[6,3,2,4,5,1,8,7]=>[7,8,1,5,4,2,3,6]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [8,5,6,2,7,1,3,4]=>[2,5,1,6,3,8,7,4]=>[4,7,8,3,6,1,5,2]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [8,4,7,2,6,5,1,3]=>[8,4,7,2,1,6,5,3]=>[3,5,6,1,2,7,4,8]=>[[1,2,3,6,8],[4,5,7]]=>21 [8,5,7,3,2,6,1,4]=>[5,3,8,2,1,7,6,4]=>[4,6,7,1,2,8,3,5]=>[[1,2,3,6],[4,5,7,8]]=>21 [8,1,2,3,6,4,7,5]=>[1,2,8,3,4,6,7,5]=>[5,7,6,4,3,8,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>10 [4,5,3,7,8,1,6,2]=>[4,5,7,3,8,1,6,2]=>[2,6,1,8,3,7,5,4]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [4,3,7,5,1,6,2,8]=>[7,4,3,1,5,6,2,8]=>[8,2,6,5,1,3,4,7]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [3,5,2,8,6,7,4,1]=>[8,5,3,6,7,2,4,1]=>[1,4,2,7,6,3,5,8]=>[[1,2,4,7,8],[3,5],[6]]=>15 [5,3,7,4,2,8,6,1]=>[5,3,7,4,8,2,6,1]=>[1,6,2,8,4,7,3,5]=>[[1,2,4,6],[3,5],[7,8]]=>16 [5,6,2,8,7,1,4,3]=>[2,5,6,8,1,7,4,3]=>[3,4,7,1,8,6,5,2]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [4,6,3,5,2,7,8,1]=>[6,4,3,5,2,7,8,1]=>[1,8,7,2,5,3,4,6]=>[[1,2,5,7,8],[3],[4],[6]]=>14 [4,3,6,1,5,7,8,2]=>[4,3,6,1,5,7,8,2]=>[2,8,7,5,1,6,3,4]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [3,5,4,1,2,6,7,8]=>[5,3,1,4,2,6,7,8]=>[8,7,6,2,4,1,3,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [5,3,1,4,6,7,8,2]=>[1,3,5,4,6,7,8,2]=>[2,8,7,6,4,5,3,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>10 [2,5,3,7,8,4,6,1]=>[5,7,2,8,3,4,6,1]=>[1,6,4,3,8,2,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [4,6,2,1,3,7,8,5]=>[2,1,6,4,7,8,3,5]=>[5,3,8,7,4,6,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [3,6,2,4,1,7,5,8]=>[3,2,6,4,7,1,5,8]=>[8,5,1,7,4,6,2,3]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [3,2,6,7,4,8,5,1]=>[6,7,3,8,2,4,5,1]=>[1,5,4,2,8,3,7,6]=>[[1,2,5,7],[3,6],[4,8]]=>13 [4,2,6,1,5,7,3,8]=>[2,4,6,1,5,7,3,8]=>[8,3,7,5,1,6,4,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [2,5,4,1,3,6,7,8]=>[5,4,2,1,3,6,7,8]=>[8,7,6,3,1,2,4,5]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [6,5,7,3,1,4,2,8]=>[1,6,5,3,7,4,2,8]=>[8,2,4,7,3,5,6,1]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [6,7,4,3,1,5,8,2]=>[1,6,4,3,7,5,8,2]=>[2,8,5,7,3,4,6,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [6,4,5,2,7,1,8,3]=>[4,2,6,5,1,7,8,3]=>[3,8,7,1,5,6,2,4]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [3,7,5,6,2,1,8,4]=>[5,7,6,3,2,8,1,4]=>[4,1,8,2,3,6,7,5]=>[[1,3,5,6,7],[2,4],[8]]=>15 [1,7,6,3,8,4,5,2]=>[7,3,6,4,8,5,1,2]=>[2,1,5,8,4,6,3,7]=>[[1,3,4,8],[2,5,6],[7]]=>15 [5,7,8,4,2,3,1,6]=>[7,2,8,5,4,3,1,6]=>[6,1,3,4,5,8,2,7]=>[[1,3,4,5,6],[2,8],[7]]=>19 [6,3,1,4,5,2,7,8]=>[1,3,4,6,5,2,7,8]=>[8,7,2,5,6,4,3,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>9 [6,4,1,2,7,8,3,5]=>[1,2,4,6,7,3,8,5]=>[5,8,3,7,6,4,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>12 [6,4,1,3,5,2,7,8]=>[4,1,3,6,5,2,7,8]=>[8,7,2,5,6,3,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [6,3,4,1,7,8,2,5]=>[3,1,4,6,7,2,8,5]=>[5,8,2,7,6,4,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>13 [5,3,4,2,6,8,1,7]=>[3,5,4,8,2,6,1,7]=>[7,1,6,2,8,4,5,3]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [6,8,1,5,3,4,2,7]=>[1,8,6,3,5,4,2,7]=>[7,2,4,5,3,6,8,1]=>[[1,3,4,6,7],[2],[5],[8]]=>16 [4,3,5,6,1,8,2,7]=>[4,3,5,6,1,8,2,7]=>[7,2,8,1,6,5,3,4]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [5,7,3,6,1,4,2,8]=>[5,3,7,1,6,4,2,8]=>[8,2,4,6,1,7,3,5]=>[[1,3,4,6],[2,7,8],[5]]=>15 [4,5,8,2,3,7,1,6]=>[4,2,8,5,7,3,1,6]=>[6,1,3,7,5,8,2,4]=>[[1,3,4,6],[2,5],[7,8]]=>15 [7,3,4,8,2,5,1,6]=>[7,3,4,2,5,1,8,6]=>[6,8,1,5,2,4,3,7]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [6,2,3,5,1,8,4,7]=>[6,2,3,5,1,8,4,7]=>[7,4,8,1,5,3,2,6]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [6,2,4,7,3,1,5,8]=>[4,6,2,3,1,7,5,8]=>[8,5,7,1,3,2,6,4]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [4,7,3,1,8,2,6,5]=>[4,3,1,7,8,6,2,5]=>[5,2,6,8,7,1,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>14 [6,2,5,1,3,8,4,7]=>[2,6,5,1,3,8,4,7]=>[7,4,8,3,1,5,6,2]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [5,1,2,8,4,6,3,7]=>[5,1,8,2,4,6,3,7]=>[7,3,6,4,2,8,1,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [5,1,4,6,2,8,3,7]=>[5,4,6,1,2,8,3,7]=>[7,3,8,2,1,6,4,5]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [6,5,4,7,2,8,3,1]=>[6,5,4,2,7,8,3,1]=>[1,3,8,7,2,4,5,6]=>[[1,2,3,7,8],[4,6],[5]]=>19 [3,2,4,6,5,8,1,7]=>[3,6,8,2,4,5,1,7]=>[7,1,5,4,2,8,6,3]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [7,5,2,1,6,3,4,8]=>[2,5,1,3,7,6,4,8]=>[8,4,6,7,3,1,5,2]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [8,7,2,1,5,3,6,4]=>[2,1,8,3,5,7,6,4]=>[4,6,7,5,3,8,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [6,8,5,3,7,4,2,1]=>[3,8,6,5,7,4,2,1]=>[1,2,4,7,5,6,8,3]=>[[1,2,3,4,6,7],[5],[8]]=>23 [8,3,6,4,1,5,7,2]=>[3,1,6,4,5,8,7,2]=>[2,7,8,5,4,6,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [5,7,2,6,3,8,4,1]=>[5,2,7,3,6,8,4,1]=>[1,4,8,6,3,7,2,5]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [5,6,4,2,1,8,3,7]=>[5,2,6,4,1,8,3,7]=>[7,3,8,1,4,6,2,5]=>[[1,3,6],[2,5,8],[4,7]]=>14 [7,2,4,3,8,1,5,6]=>[4,7,2,3,1,5,8,6]=>[6,8,5,1,3,2,7,4]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [5,8,2,6,7,4,3,1]=>[2,8,5,6,7,4,3,1]=>[1,3,4,7,6,5,8,2]=>[[1,2,3,4,7],[5],[6],[8]]=>20 [3,7,5,1,6,4,2,8]=>[3,5,7,6,1,4,2,8]=>[8,2,4,1,6,7,5,3]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [2,6,5,3,8,1,4,7]=>[6,5,2,8,3,1,4,7]=>[7,4,1,3,8,2,5,6]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [5,2,7,4,8,6,3,1]=>[7,5,8,2,4,6,3,1]=>[1,3,6,4,2,8,5,7]=>[[1,2,3,6,8],[4,7],[5]]=>17 [6,1,2,4,3,5,7,8]=>[4,1,2,3,6,5,7,8]=>[8,7,5,6,3,2,1,4]=>[[1,4],[2,8],[3],[5],[6],[7]]=>6 [5,6,7,4,1,3,8,2]=>[5,1,6,7,4,3,8,2]=>[2,8,3,4,7,6,1,5]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [8,5,6,1,4,2,7,3]=>[5,1,2,6,4,8,7,3]=>[3,7,8,4,6,2,1,5]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [6,5,8,2,7,3,4,1]=>[6,5,2,8,3,7,4,1]=>[1,4,7,3,8,2,5,6]=>[[1,2,3,5],[4,7,8],[6]]=>20 [5,6,7,4,1,3,2,8]=>[5,1,6,7,4,3,2,8]=>[8,2,3,4,7,6,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [1,7,6,8,4,3,2,5]=>[7,1,6,8,4,3,2,5]=>[5,2,3,4,8,6,1,7]=>[[1,3,4,5,8],[2,6],[7]]=>16 [1,7,6,5,3,8,2,4]=>[7,1,6,5,8,3,2,4]=>[4,2,3,8,5,6,1,7]=>[[1,3,4,6,8],[2,5],[7]]=>15 [6,4,5,7,1,3,2,8]=>[4,1,6,5,7,3,2,8]=>[8,2,3,7,5,6,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [6,1,2,4,3,5,8,7]=>[4,1,2,3,6,8,5,7]=>[7,5,8,6,3,2,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>7 [4,6,1,3,7,8,5,2]=>[4,1,6,7,8,3,5,2]=>[2,5,3,8,7,6,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [8,4,1,5,2,6,7,3]=>[4,1,2,5,6,8,7,3]=>[3,7,8,6,5,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [5,3,2,6,8,7,1,4]=>[3,8,2,5,6,1,7,4]=>[4,7,1,6,5,2,8,3]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [6,3,5,2,7,1,4,8]=>[6,3,2,5,1,7,4,8]=>[8,4,7,1,5,2,3,6]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [6,4,5,3,1,8,7,2]=>[4,1,6,5,8,3,7,2]=>[2,7,3,8,5,6,1,4]=>[[1,2,4,6],[3,5],[7,8]]=>16 [8,5,1,2,3,6,7,4]=>[1,2,3,5,6,8,7,4]=>[4,7,8,6,5,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>13 [8,3,2,6,1,5,7,4]=>[3,2,8,6,1,5,7,4]=>[4,7,5,1,6,8,2,3]=>[[1,2,5,6],[3,7,8],[4]]=>15 [3,8,6,4,7,1,2,5]=>[3,6,1,8,7,4,2,5]=>[5,2,4,7,8,1,6,3]=>[[1,3,4,5],[2,7],[6,8]]=>17 [8,6,4,7,1,3,2,5]=>[1,4,6,3,2,8,7,5]=>[5,7,8,2,3,6,4,1]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [3,1,4,7,6,2,5,8]=>[7,6,1,3,4,2,5,8]=>[8,5,2,4,3,1,6,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>8 [5,4,7,1,6,3,2,8]=>[1,5,7,4,6,3,2,8]=>[8,2,3,6,4,7,5,1]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [5,3,4,1,6,2,7,8]=>[3,1,5,4,6,2,7,8]=>[8,7,2,6,4,5,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [2,7,1,4,6,3,5,8]=>[7,2,6,1,4,3,5,8]=>[8,5,3,4,1,6,2,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [7,3,1,6,5,2,4,8]=>[7,3,1,6,2,5,4,8]=>[8,4,5,2,6,1,3,7]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [7,1,5,2,4,6,3,8]=>[7,1,2,5,4,6,3,8]=>[8,3,6,4,5,2,1,7]=>[[1,3,5,8],[2],[4],[6],[7]]=>11 [6,1,5,8,2,7,4,3]=>[1,6,8,5,7,2,4,3]=>[3,4,2,7,5,8,6,1]=>[[1,2,4,6],[3,5,7],[8]]=>15 [7,1,2,3,6,4,5,8]=>[1,7,2,3,4,6,5,8]=>[8,5,6,4,3,2,7,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>8 [6,3,1,8,5,4,7,2]=>[1,6,8,3,5,4,7,2]=>[2,7,4,5,3,8,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [5,6,1,3,7,4,8,2]=>[5,1,3,6,7,4,8,2]=>[2,8,4,7,6,3,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [1,6,3,8,5,4,7,2]=>[3,6,8,5,4,7,1,2]=>[2,1,7,4,5,8,6,3]=>[[1,3,5,6],[2,4,7],[8]]=>13 [8,2,5,6,1,3,7,4]=>[5,2,1,3,8,6,7,4]=>[4,7,6,8,3,1,2,5]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [2,8,4,6,5,1,7,3]=>[6,4,5,2,8,7,1,3]=>[3,1,7,8,2,5,4,6]=>[[1,3,4,8],[2,5,6],[7]]=>15 [8,5,1,7,6,3,2,4]=>[8,5,3,1,2,7,6,4]=>[4,6,7,2,1,3,5,8]=>[[1,2,3,8],[4,6,7],[5]]=>19 [6,8,7,2,1,3,5,4]=>[2,1,6,8,3,7,5,4]=>[4,5,7,3,8,6,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>18 [5,7,2,8,1,3,6,4]=>[5,2,1,7,8,3,6,4]=>[4,6,3,8,7,1,2,5]=>[[1,2,4],[3,5,8],[6,7]]=>15 [7,6,8,3,1,5,2,4]=>[1,3,7,6,2,8,5,4]=>[4,5,8,2,6,7,3,1]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [3,8,4,6,1,2,7,5]=>[6,3,1,4,8,7,2,5]=>[5,2,7,8,4,1,3,6]=>[[1,3,4],[2,5,8],[6,7]]=>14 [6,3,1,4,8,7,2,5]=>[8,1,3,4,6,2,7,5]=>[5,7,2,6,4,3,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [3,4,7,5,1,8,2,6]=>[3,7,4,5,1,8,2,6]=>[6,2,8,1,5,4,7,3]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [2,4,6,5,7,8,1,3]=>[6,4,5,7,8,2,1,3]=>[3,1,2,8,7,5,4,6]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [2,4,6,7,5,8,1,3]=>[6,7,4,5,8,2,1,3]=>[3,1,2,8,5,4,7,6]=>[[1,3,4,7],[2,5,8],[6]]=>13 [2,4,6,3,7,8,1,5]=>[6,4,7,8,2,3,1,5]=>[5,1,3,2,8,7,4,6]=>[[1,3,5,8],[2,6],[4,7]]=>11 [1,8,6,3,4,7,5,2]=>[3,4,6,8,7,5,1,2]=>[2,1,5,7,8,6,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [8,6,5,1,4,2,7,3]=>[1,6,2,5,4,8,7,3]=>[3,7,8,4,5,2,6,1]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [1,6,3,5,8,4,7,2]=>[6,8,3,5,4,7,1,2]=>[2,1,7,4,5,3,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>12 [5,2,8,3,4,1,6,7]=>[2,3,8,5,4,1,6,7]=>[7,6,1,4,5,8,3,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>12 [3,6,4,1,2,7,8,5]=>[3,1,6,4,7,8,2,5]=>[5,2,8,7,4,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [4,1,7,3,8,6,2,5]=>[7,8,1,4,6,3,2,5]=>[5,2,3,6,4,1,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>13 [5,3,6,4,1,8,2,7]=>[3,5,6,4,1,8,2,7]=>[7,2,8,1,4,6,5,3]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [1,5,2,7,6,8,4,3]=>[7,5,6,8,1,4,2,3]=>[3,2,4,1,8,6,5,7]=>[[1,3,5,8],[2,6],[4,7]]=>11 [6,5,2,8,1,3,7,4]=>[6,2,1,5,8,3,7,4]=>[4,7,3,8,5,1,2,6]=>[[1,2,4],[3,5,8],[6,7]]=>15 [8,2,1,5,4,6,7,3]=>[2,8,1,5,4,6,7,3]=>[3,7,6,4,5,1,8,2]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [4,6,8,7,1,3,2,5]=>[6,8,1,7,4,3,2,5]=>[5,2,3,4,7,1,8,6]=>[[1,3,4,5,7],[2,8],[6]]=>17 [1,7,8,6,3,5,2,4]=>[7,8,1,6,5,3,2,4]=>[4,2,3,5,6,1,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>17 [8,6,5,2,7,1,4,3]=>[6,2,1,5,8,7,4,3]=>[3,4,7,8,5,1,2,6]=>[[1,2,3,4],[5,7,8],[6]]=>21 [7,5,8,2,1,6,4,3]=>[2,1,5,7,8,6,4,3]=>[3,4,6,8,7,5,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [3,2,1,6,5,8,4,7]=>[3,6,8,2,5,1,4,7]=>[7,4,1,5,2,8,6,3]=>[[1,4,6],[2,5,7],[3,8]]=>8 [2,6,4,8,5,7,3,1]=>[6,4,8,5,7,2,3,1]=>[1,3,2,7,5,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>16 [4,8,7,1,3,2,6,5]=>[4,1,3,8,7,6,2,5]=>[5,2,6,7,8,3,1,4]=>[[1,3,4,5],[2,6,8],[7]]=>16 [5,8,7,4,6,1,3,2]=>[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>22 [3,4,1,8,7,6,2,5]=>[8,7,3,4,1,6,2,5]=>[5,2,6,1,4,3,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>13 [5,8,7,3,4,1,6,2]=>[3,1,8,7,5,4,6,2]=>[2,6,4,5,7,8,1,3]=>[[1,2,4,5,6],[3,8],[7]]=>20 [4,6,1,3,2,8,5,7]=>[6,1,4,8,3,2,5,7]=>[7,5,2,3,8,4,1,6]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [3,2,8,4,5,7,1,6]=>[3,8,2,7,4,5,1,6]=>[6,1,5,4,7,2,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [6,1,8,2,4,5,3,7]=>[6,1,2,4,8,5,3,7]=>[7,3,5,8,4,2,1,6]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [8,3,6,4,2,7,1,5]=>[3,4,2,8,6,1,7,5]=>[5,7,1,6,8,2,4,3]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [8,6,3,7,1,4,2,5]=>[3,6,1,4,2,8,7,5]=>[5,7,8,2,4,1,6,3]=>[[1,2,3],[4,5,7],[6,8]]=>19 [8,5,4,1,2,3,7,6]=>[1,2,5,4,8,3,7,6]=>[6,7,3,8,4,5,2,1]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [2,3,8,4,1,7,5,6]=>[8,2,3,7,4,1,5,6]=>[6,5,1,4,7,3,2,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>10 [4,6,1,3,2,7,8,5]=>[6,1,4,3,7,8,2,5]=>[5,2,8,7,3,4,1,6]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [6,7,2,5,8,4,1,3]=>[6,7,2,5,1,8,4,3]=>[3,4,8,1,5,2,7,6]=>[[1,2,3,7],[4,5,8],[6]]=>19 [4,1,7,8,2,5,6,3]=>[7,8,1,4,2,5,6,3]=>[3,6,5,2,4,1,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [3,4,5,7,8,1,6,2]=>[7,3,4,5,8,1,6,2]=>[2,6,1,8,5,4,3,7]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [2,6,7,5,1,4,3,8]=>[6,2,7,5,4,1,3,8]=>[8,3,1,4,5,7,2,6]=>[[1,4,5,6],[2,7,8],[3]]=>13 [4,5,2,8,1,3,7,6]=>[4,5,2,8,1,7,3,6]=>[6,3,7,1,8,2,5,4]=>[[1,3,5],[2,6,7],[4,8]]=>12 [8,3,6,5,1,4,7,2]=>[3,6,5,1,4,8,7,2]=>[2,7,8,4,1,5,6,3]=>[[1,2,3,7],[4,6],[5,8]]=>18 [2,4,5,8,1,3,7,6]=>[4,8,5,2,7,1,3,6]=>[6,3,1,7,2,5,8,4]=>[[1,4,6,7],[2,5],[3,8]]=>10 [1,4,3,5,8,7,2,6]=>[8,4,7,3,5,1,2,6]=>[6,2,1,5,3,7,4,8]=>[[1,4,6,8],[2,5,7],[3]]=>9 [6,2,3,1,7,4,5,8]=>[2,3,6,1,4,7,5,8]=>[8,5,7,4,1,6,3,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>9 [8,2,7,4,6,3,1,5]=>[8,7,2,4,3,1,6,5]=>[5,6,1,3,4,2,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>19 [6,1,3,4,7,8,2,5]=>[3,4,6,7,1,2,8,5]=>[5,8,2,1,7,6,4,3]=>[[1,2],[3,5],[4,6],[7],[8]]=>11 [2,5,3,6,7,8,1,4]=>[2,5,6,7,8,3,1,4]=>[4,1,3,8,7,6,5,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [1,5,6,2,7,8,4,3]=>[1,5,6,7,8,4,2,3]=>[3,2,4,8,7,6,5,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [5,1,8,4,3,7,6,2]=>[5,4,8,7,1,3,6,2]=>[2,6,3,1,7,8,4,5]=>[[1,2,5,6],[3,7,8],[4]]=>15 [8,2,1,3,6,7,5,4]=>[2,8,6,7,1,3,5,4]=>[4,5,3,1,7,6,8,2]=>[[1,2,5,7],[3,6],[4,8]]=>13 [6,5,7,1,2,4,8,3]=>[1,2,6,5,7,4,8,3]=>[3,8,4,7,5,6,2,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>15 [8,6,2,5,3,4,1,7]=>[2,6,3,5,4,1,8,7]=>[7,8,1,4,5,3,6,2]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [7,2,8,1,3,5,4,6]=>[2,7,1,5,3,4,8,6]=>[6,8,4,3,5,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [5,2,4,6,7,8,1,3]=>[5,2,4,6,7,1,8,3]=>[3,8,1,7,6,4,2,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [8,5,1,4,6,7,2,3]=>[5,4,6,1,2,8,7,3]=>[3,7,8,2,1,6,4,5]=>[[1,2,3],[4,6,8],[5,7]]=>17 [2,8,3,5,6,1,4,7]=>[2,8,3,5,1,6,4,7]=>[7,4,6,1,5,3,8,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [3,2,8,5,6,1,4,7]=>[3,5,8,6,2,1,4,7]=>[7,4,1,2,6,8,5,3]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [7,2,5,8,1,4,6,3]=>[7,2,5,1,8,4,6,3]=>[3,6,4,8,1,5,2,7]=>[[1,2,4,8],[3,6],[5,7]]=>16 [4,7,5,8,1,2,6,3]=>[4,1,7,5,8,2,6,3]=>[3,6,2,8,5,7,1,4]=>[[1,2,4],[3,5,6],[7,8]]=>16 [4,7,5,8,1,2,3,6]=>[4,1,7,2,8,5,3,6]=>[6,3,5,8,2,7,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [3,4,7,5,2,8,1,6]=>[3,7,4,5,8,2,1,6]=>[6,1,2,8,5,4,7,3]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [4,3,2,5,7,8,1,6]=>[4,3,7,8,2,5,1,6]=>[6,1,5,2,8,7,3,4]=>[[1,3,5,8],[2,6],[4,7]]=>11 [2,4,7,5,8,3,1,6]=>[4,7,8,5,2,3,1,6]=>[6,1,3,2,5,8,7,4]=>[[1,3,5,6],[2,7],[4,8]]=>13 [2,5,4,7,3,8,1,6]=>[5,7,4,8,2,3,1,6]=>[6,1,3,2,8,4,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>12 [4,3,5,6,8,1,2,7]=>[4,8,3,5,1,6,2,7]=>[7,2,6,1,5,3,8,4]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [4,6,5,8,1,2,3,7]=>[6,1,8,4,2,5,3,7]=>[7,3,5,2,4,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [6,1,3,4,8,7,5,2]=>[8,1,3,6,7,4,5,2]=>[2,5,4,7,6,3,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [2,4,8,1,7,5,3,6]=>[8,4,2,7,5,1,3,6]=>[6,3,1,5,7,2,4,8]=>[[1,4,5,8],[2,6,7],[3]]=>12 [6,3,4,8,7,5,2,1]=>[8,3,4,6,7,5,2,1]=>[1,2,5,7,6,4,3,8]=>[[1,2,3,4,8],[5],[6],[7]]=>19 [6,8,1,4,5,2,7,3]=>[6,1,4,2,8,5,7,3]=>[3,7,5,8,2,4,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [1,5,4,8,7,6,2,3]=>[8,5,7,4,1,6,2,3]=>[3,2,6,1,4,7,5,8]=>[[1,3,6,8],[2,5,7],[4]]=>14 [1,4,7,8,2,5,3,6]=>[1,7,4,8,5,2,3,6]=>[6,3,2,5,8,4,7,1]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [3,7,5,1,6,2,8,4]=>[5,3,1,7,6,8,2,4]=>[4,2,8,6,7,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>13 [4,8,3,7,6,2,1,5]=>[8,4,7,6,3,2,1,5]=>[5,1,2,3,6,7,4,8]=>[[1,3,4,5,6,8],[2,7]]=>19 [1,4,7,6,3,8,2,5]=>[7,6,4,8,3,1,2,5]=>[5,2,1,3,8,4,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>12 [7,4,2,8,5,1,6,3]=>[7,2,4,1,5,8,6,3]=>[3,6,8,5,1,4,2,7]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [1,3,6,8,2,4,7,5]=>[6,1,8,3,7,2,4,5]=>[5,4,2,7,3,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [1,6,7,4,3,8,2,5]=>[6,7,1,4,8,3,2,5]=>[5,2,3,8,4,1,7,6]=>[[1,3,4,7],[2,5],[6,8]]=>13 [7,3,1,6,5,2,8,4]=>[7,3,1,6,2,5,8,4]=>[4,8,5,2,6,1,3,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [5,7,3,1,6,2,8,4]=>[5,3,1,7,2,6,8,4]=>[4,8,6,2,7,1,3,5]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [5,6,3,1,7,2,8,4]=>[1,5,3,6,2,7,8,4]=>[4,8,7,2,6,3,5,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [4,7,2,8,5,1,6,3]=>[7,8,4,2,1,5,6,3]=>[3,6,5,1,2,4,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>16 [6,5,7,3,1,4,8,2]=>[1,6,5,3,7,4,8,2]=>[2,8,4,7,3,5,6,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [4,3,5,8,6,1,2,7]=>[8,4,3,5,1,6,2,7]=>[7,2,6,1,5,3,4,8]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [2,8,1,3,4,7,6,5]=>[8,2,7,1,3,6,4,5]=>[5,4,6,3,1,7,2,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [4,3,5,8,6,2,1,7]=>[8,4,3,5,6,2,1,7]=>[7,1,2,6,5,3,4,8]=>[[1,3,4,7,8],[2],[5],[6]]=>14 [7,8,6,2,1,5,4,3]=>[2,7,8,1,6,5,4,3]=>[3,4,5,6,1,8,7,2]=>[[1,2,3,4,6],[5,7],[8]]=>21 [7,8,6,2,1,4,5,3]=>[2,7,1,4,8,6,5,3]=>[3,5,6,8,4,1,7,2]=>[[1,2,3,4],[5,7],[6,8]]=>20 [2,1,3,7,5,8,6,4]=>[2,7,8,5,6,1,3,4]=>[4,3,1,6,5,8,7,2]=>[[1,4,6],[2,5,7],[3,8]]=>8 [8,6,2,7,3,5,1,4]=>[2,3,8,6,1,7,5,4]=>[4,5,7,1,6,8,3,2]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [7,6,8,4,2,5,1,3]=>[2,7,6,4,1,8,5,3]=>[3,5,8,1,4,6,7,2]=>[[1,2,3,7],[4,5,6],[8]]=>22 [8,6,7,2,3,5,1,4]=>[2,3,6,1,8,7,5,4]=>[4,5,7,8,1,6,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [7,8,6,2,4,5,1,3]=>[7,2,4,1,8,6,5,3]=>[3,5,6,8,1,4,2,7]=>[[1,2,3,4],[5,6,8],[7]]=>22 [2,1,3,8,7,5,6,4]=>[2,8,7,5,6,1,3,4]=>[4,3,1,6,5,7,8,2]=>[[1,4,6,7],[2,5],[3,8]]=>10 [8,1,7,3,6,5,2,4]=>[8,7,6,1,3,2,5,4]=>[4,5,2,3,1,6,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>18 [1,6,4,7,3,8,5,2]=>[4,6,3,7,8,5,1,2]=>[2,1,5,8,7,3,6,4]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [1,2,3,4,5,6,8,10,7,9]=>[10,8,1,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,1,8,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>3 [1,3,5,7,9,2,4,6,8,10]=>[9,7,5,3,1,2,4,6,8,10]=>[10,8,6,4,2,1,3,5,7,9]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>10 [4,5,7,6,1,2,3,8]=>[7,4,1,5,2,6,3,8]=>[8,3,6,2,5,1,4,7]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [3,6,5,7,1,2,4,8]=>[6,5,1,7,3,2,4,8]=>[8,4,2,3,7,1,5,6]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [4,8,5,6,3,2,7,1]=>[4,5,8,6,3,2,7,1]=>[1,7,2,3,6,8,5,4]=>[[1,2,4,5,6],[3],[7],[8]]=>19 [6,7,2,1,4,8,5,3]=>[2,6,1,4,7,8,5,3]=>[3,5,8,7,4,1,6,2]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [2,6,4,8,5,7,1,3]=>[6,4,8,5,7,2,1,3]=>[3,1,2,7,5,8,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>15 [6,4,2,5,8,7,1,3]=>[2,4,6,8,5,1,7,3]=>[3,7,1,5,8,6,4,2]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [1,8,6,3,4,5,7,2]=>[3,4,6,5,8,7,1,2]=>[2,1,7,8,5,6,4,3]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [5,2,7,3,4,8,6,1]=>[2,5,3,7,8,4,6,1]=>[1,6,4,8,7,3,5,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [5,7,3,2,4,8,6,1]=>[3,2,7,5,8,4,6,1]=>[1,6,4,8,5,7,2,3]=>[[1,2,4,6],[3,5],[7,8]]=>16 [2,6,8,5,4,3,1,7]=>[8,6,5,4,2,3,1,7]=>[7,1,3,2,4,5,6,8]=>[[1,3,5,6,7,8],[2],[4]]=>16 [2,8,4,6,3,5,1,7]=>[8,4,2,3,6,5,1,7]=>[7,1,5,6,3,2,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [8,3,1,4,2,5,6,7]=>[1,3,4,2,5,6,8,7]=>[7,8,6,5,2,4,3,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>10 [2,6,4,8,5,3,1,7]=>[6,4,8,5,2,3,1,7]=>[7,1,3,2,5,8,4,6]=>[[1,3,5,6],[2,7,8],[4]]=>14 [3,8,1,4,6,5,2,7]=>[8,1,3,4,6,5,2,7]=>[7,2,5,6,4,3,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>12 [2,7,5,4,1,8,3,6]=>[7,5,2,4,1,8,3,6]=>[6,3,8,1,4,2,5,7]=>[[1,3,7,8],[2,5],[4,6]]=>13 [4,6,1,8,5,3,2,7]=>[4,6,8,1,5,3,2,7]=>[7,2,3,5,1,8,6,4]=>[[1,3,4,6],[2,7],[5,8]]=>14 [8,6,7,1,4,3,2,5]=>[6,4,1,3,2,8,7,5]=>[5,7,8,2,3,1,4,6]=>[[1,2,3,8],[4,5,7],[6]]=>20 [1,4,7,8,6,3,5,2]=>[7,8,6,4,3,5,1,2]=>[2,1,5,3,4,6,8,7]=>[[1,3,5,6,7],[2,4,8]]=>15 [8,5,2,6,3,4,7,1]=>[5,2,3,6,4,8,7,1]=>[1,7,8,4,6,3,2,5]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [8,3,6,1,2,7,4,5]=>[1,3,8,2,6,4,7,5]=>[5,7,4,6,2,8,3,1]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [3,7,6,2,1,8,5,4]=>[3,2,7,6,8,5,1,4]=>[4,1,5,8,6,7,2,3]=>[[1,3,4,6],[2,5,8],[7]]=>15 [4,6,8,7,3,1,2,5]=>[8,6,1,7,4,3,2,5]=>[5,2,3,4,7,1,6,8]=>[[1,3,4,5,8],[2,7],[6]]=>18 [5,7,2,1,6,3,4,8]=>[2,5,1,7,3,6,4,8]=>[8,4,6,3,7,1,5,2]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [5,3,6,8,7,4,1,2]=>[8,3,5,6,1,7,4,2]=>[2,4,7,1,6,5,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [4,3,1,7,2,5,6,8]=>[4,1,7,3,2,5,6,8]=>[8,6,5,2,3,7,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [7,8,4,6,2,3,5,1]=>[4,2,7,3,8,6,5,1]=>[1,5,6,8,3,7,2,4]=>[[1,2,3,4],[5,6],[7,8]]=>22 [5,7,2,6,8,3,4,1]=>[7,2,5,6,3,8,4,1]=>[1,4,8,3,6,5,2,7]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [7,3,4,5,2,8,6,1]=>[3,4,5,2,7,8,6,1]=>[1,6,8,7,2,5,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [4,7,5,2,6,3,8,1]=>[4,2,7,5,6,3,8,1]=>[1,8,3,6,5,7,2,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [3,5,6,2,8,1,4,7]=>[5,6,8,3,2,1,4,7]=>[7,4,1,2,3,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>12 [2,7,4,6,1,3,5,8]=>[7,6,2,1,4,3,5,8]=>[8,5,3,4,1,2,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [3,1,8,6,7,2,5,4]=>[6,3,8,7,1,5,2,4]=>[4,2,5,1,7,8,3,6]=>[[1,3,5,6],[2,7,8],[4]]=>14 [8,7,2,5,6,4,1,3]=>[2,8,7,5,1,6,4,3]=>[3,4,6,1,5,7,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>22 [2,7,4,6,8,3,1,5]=>[7,6,8,2,4,3,1,5]=>[5,1,3,4,2,8,6,7]=>[[1,3,4,6,8],[2,7],[5]]=>15 [7,1,5,6,8,4,2,3]=>[5,7,6,1,8,2,4,3]=>[3,4,2,8,1,6,7,5]=>[[1,2,4,7],[3,6],[5,8]]=>17 [2,8,5,1,6,3,7,4]=>[2,5,1,6,8,7,3,4]=>[4,3,7,8,6,1,5,2]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [5,1,2,4,3,7,6,8]=>[5,1,2,4,7,3,6,8]=>[8,6,3,7,4,2,1,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [8,5,2,7,3,6,4,1]=>[5,8,2,3,7,6,4,1]=>[1,4,6,7,3,2,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>20 [3,6,4,1,8,2,5,7]=>[3,6,1,8,4,2,5,7]=>[7,5,2,4,8,1,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [8,7,6,2,4,5,1,3]=>[2,8,4,1,7,6,5,3]=>[3,5,6,7,1,4,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>23 [8,5,2,7,3,6,1,4]=>[5,8,2,3,1,7,6,4]=>[4,6,7,1,3,2,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>19 [5,3,8,1,7,4,6,2]=>[8,3,5,1,7,4,6,2]=>[2,6,4,7,1,5,3,8]=>[[1,2,4,8],[3,6],[5,7]]=>16 [8,7,6,2,4,5,3,1]=>[2,8,4,7,6,5,3,1]=>[1,3,5,6,7,4,8,2]=>[[1,2,3,4,5,7],[6],[8]]=>24 [8,7,5,6,1,3,2,4]=>[5,1,3,2,8,7,6,4]=>[4,6,7,8,2,3,1,5]=>[[1,2,3,4],[5,6,8],[7]]=>22 [2,5,6,4,3,8,1,7]=>[5,6,4,8,2,3,1,7]=>[7,1,3,2,8,4,6,5]=>[[1,3,5,7],[2,6],[4,8]]=>12 [1,2,5,6,4,8,3,7]=>[5,6,8,4,1,2,3,7]=>[7,3,2,1,4,8,6,5]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [4,1,8,5,2,7,3,6]=>[4,8,1,5,2,7,3,6]=>[6,3,7,2,5,1,8,4]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [8,6,3,5,2,1,4,7]=>[6,3,2,1,5,4,8,7]=>[7,8,4,5,1,2,3,6]=>[[1,2,7,8],[3,4],[5,6]]=>18 [8,4,5,2,1,7,3,6]=>[4,2,5,1,8,3,7,6]=>[6,7,3,8,1,5,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>16 [8,7,3,5,2,4,6,1]=>[5,3,2,4,8,7,6,1]=>[1,6,7,8,4,2,3,5]=>[[1,2,3,4],[5,7,8],[6]]=>21 [8,4,2,7,6,5,1,3]=>[8,7,2,4,1,6,5,3]=>[3,5,6,1,4,2,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>20 [3,2,1,7,4,8,6,5]=>[7,3,8,2,6,1,4,5]=>[5,4,1,6,2,8,3,7]=>[[1,4,6,8],[2,5,7],[3]]=>9 [2,6,3,4,8,1,7,5]=>[6,2,3,8,4,7,1,5]=>[5,1,7,4,8,3,2,6]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [4,6,3,8,5,2,7,1]=>[6,8,4,3,5,2,7,1]=>[1,7,2,5,3,4,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>17 [4,1,3,8,5,6,2,7]=>[8,1,4,3,5,6,2,7]=>[7,2,6,5,3,4,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>10 [2,7,8,4,5,6,1,3]=>[4,7,5,8,6,2,1,3]=>[3,1,2,6,8,5,7,4]=>[[1,3,4,5],[2,6,7],[8]]=>17 [3,2,1,5,8,7,4,6]=>[8,3,7,2,5,1,4,6]=>[6,4,1,5,2,7,3,8]=>[[1,4,6,8],[2,5,7],[3]]=>9 [5,2,8,3,1,6,7,4]=>[5,8,2,3,1,6,7,4]=>[4,7,6,1,3,2,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [1,7,8,6,3,2,5,4]=>[7,1,3,8,6,5,2,4]=>[4,2,5,6,8,3,1,7]=>[[1,3,4,5],[2,6,8],[7]]=>16 [2,7,1,4,5,6,3,8]=>[2,4,5,7,6,1,3,8]=>[8,3,1,6,7,5,4,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [3,2,8,1,5,7,4,6]=>[3,8,2,7,5,1,4,6]=>[6,4,1,5,7,2,8,3]=>[[1,4,5,7],[2,6,8],[3]]=>11 [8,1,7,4,5,6,3,2]=>[4,5,8,7,6,1,3,2]=>[2,3,1,6,7,8,5,4]=>[[1,2,4,5,6],[3,7],[8]]=>19 [3,4,6,7,2,1,5,8]=>[6,7,3,4,2,1,5,8]=>[8,5,1,2,4,3,7,6]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [7,8,6,5,1,3,4,2]=>[7,1,3,8,6,5,4,2]=>[2,4,5,6,8,3,1,7]=>[[1,2,3,4,5],[6,8],[7]]=>23 [4,3,5,1,6,7,2,8]=>[4,3,1,5,6,7,2,8]=>[8,2,7,6,5,1,3,4]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [2,6,7,1,4,3,8,5]=>[2,1,6,7,4,8,3,5]=>[5,3,8,4,7,6,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [5,7,6,2,1,8,3,4]=>[5,2,7,1,6,3,8,4]=>[4,8,3,6,1,7,2,5]=>[[1,2,6],[3,4,8],[5,7]]=>16 [4,2,5,3,8,6,7,1]=>[8,2,4,5,3,6,7,1]=>[1,7,6,3,5,4,2,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>12 [3,2,7,4,8,5,6,1]=>[3,7,2,8,4,5,6,1]=>[1,6,5,4,8,2,7,3]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [6,3,8,5,4,2,7,1]=>[3,6,8,5,4,2,7,1]=>[1,7,2,4,5,8,6,3]=>[[1,2,4,5,6],[3,7],[8]]=>19 [7,4,6,1,3,5,2,8]=>[4,1,7,3,6,5,2,8]=>[8,2,5,6,3,7,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [5,8,2,7,4,6,3,1]=>[8,5,2,7,4,6,3,1]=>[1,3,6,4,7,2,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>20 [4,5,2,8,3,7,1,6]=>[4,5,8,2,7,3,1,6]=>[6,1,3,7,2,8,5,4]=>[[1,3,4,6],[2,7],[5,8]]=>14 [7,8,5,1,6,4,3,2]=>[7,1,8,5,6,4,3,2]=>[2,3,4,6,5,8,1,7]=>[[1,2,3,4,6],[5,8],[7]]=>22 [8,7,5,1,6,4,3,2]=>[1,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,1]=>[[1,2,3,4,6,7],[5],[8]]=>23 [4,6,8,3,2,1,7,5]=>[8,6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6,8]=>[[1,3,5,6,7,8],[2,4]]=>16 [4,6,7,3,5,2,1,8]=>[6,7,4,3,5,2,1,8]=>[8,1,2,5,3,4,7,6]=>[[1,3,4,6,7],[2,8],[5]]=>16 [5,4,2,6,1,7,3,8]=>[2,5,4,1,6,7,3,8]=>[8,3,7,6,1,4,5,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [7,2,6,3,4,8,1,5]=>[2,3,7,4,6,1,8,5]=>[5,8,1,6,4,7,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [2,5,1,3,4,8,7,6]=>[2,8,1,5,7,3,4,6]=>[6,4,3,7,5,1,8,2]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [1,4,6,3,7,5,2,8]=>[6,4,7,3,5,1,2,8]=>[8,2,1,5,3,7,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>9 [6,5,8,3,4,7,2,1]=>[6,3,8,5,4,7,2,1]=>[1,2,7,4,5,8,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>21 [1,7,6,3,8,5,2,4]=>[7,6,8,1,5,3,2,4]=>[4,2,3,5,1,8,6,7]=>[[1,3,4,6,8],[2,7],[5]]=>15 [3,7,8,1,4,5,6,2]=>[7,3,1,4,8,5,6,2]=>[2,6,5,8,4,1,3,7]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [2,7,3,1,4,5,6,8]=>[2,3,1,4,7,5,6,8]=>[8,6,5,7,4,1,3,2]=>[[1,4],[2,7],[3],[5],[6],[8]]=>7 [1,8,4,2,7,5,6,3]=>[1,8,4,5,7,6,2,3]=>[3,2,6,7,5,4,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [1,3,8,7,4,5,6,2]=>[3,4,8,7,5,6,1,2]=>[2,1,6,5,7,8,4,3]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [7,3,1,8,4,5,6,2]=>[1,7,3,4,5,8,6,2]=>[2,6,8,5,4,3,7,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [6,2,4,3,7,5,8,1]=>[4,2,3,6,7,5,8,1]=>[1,8,5,7,6,3,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [6,4,2,5,1,7,8,3]=>[2,4,1,6,5,7,8,3]=>[3,8,7,5,6,1,4,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [1,8,3,2,5,7,6,4]=>[8,1,3,7,5,6,2,4]=>[4,2,6,5,7,3,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [1,3,2,8,7,4,6,5]=>[3,8,7,6,1,2,4,5]=>[5,4,2,1,6,7,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [1,8,4,7,3,5,6,2]=>[4,3,8,5,7,6,1,2]=>[2,1,6,7,5,8,3,4]=>[[1,3,4,6],[2,5,8],[7]]=>15 [5,4,2,7,3,8,6,1]=>[5,4,2,7,8,3,6,1]=>[1,6,3,8,7,2,4,5]=>[[1,2,4,8],[3,5],[6,7]]=>15 [5,7,2,1,3,8,6,4]=>[2,1,5,7,8,3,6,4]=>[4,6,3,8,7,5,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [4,6,3,7,8,1,2,5]=>[6,4,7,1,8,3,2,5]=>[5,2,3,8,1,7,4,6]=>[[1,3,4,8],[2,6],[5,7]]=>15 [2,7,5,4,1,6,8,3]=>[5,4,2,7,6,8,1,3]=>[3,1,8,6,7,2,4,5]=>[[1,3,5,8],[2,4,7],[6]]=>13 [8,3,5,4,7,1,2,6]=>[5,8,3,1,4,2,7,6]=>[6,7,2,4,1,3,8,5]=>[[1,2,7],[3,4,8],[5,6]]=>17 [6,2,5,4,8,7,3,1]=>[6,5,8,2,4,7,3,1]=>[1,3,7,4,2,8,5,6]=>[[1,2,3,6,8],[4,7],[5]]=>17 [8,2,5,1,3,6,7,4]=>[2,1,3,5,8,6,7,4]=>[4,7,6,8,5,3,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [8,1,6,4,3,2,7,5]=>[4,3,1,2,8,6,7,5]=>[5,7,6,8,2,1,3,4]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [1,8,6,4,3,2,5,7]=>[8,4,1,3,2,6,5,7]=>[7,5,6,2,3,1,4,8]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [8,2,1,4,5,6,3,7]=>[2,4,5,6,1,3,8,7]=>[7,8,3,1,6,5,4,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>11 [8,1,5,4,6,7,3,2]=>[5,4,6,8,7,1,3,2]=>[2,3,1,7,8,6,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>17 [2,8,5,6,3,7,4,1]=>[5,2,6,8,7,3,4,1]=>[1,4,3,7,8,6,2,5]=>[[1,2,4,5],[3,6],[7,8]]=>17 [5,6,8,3,1,2,4,7]=>[1,8,5,3,2,6,4,7]=>[7,4,6,2,3,5,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [2,4,5,8,3,7,6,1]=>[4,8,5,7,2,3,6,1]=>[1,6,3,2,7,5,8,4]=>[[1,2,5,7],[3,6],[4,8]]=>13 [8,3,5,4,1,7,6,2]=>[5,3,8,1,4,7,6,2]=>[2,6,7,4,1,8,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>17 [8,2,3,4,1,6,5,7]=>[2,3,4,6,1,5,8,7]=>[7,8,5,1,6,4,3,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>11 [8,1,4,6,3,2,5,7]=>[6,4,3,1,2,5,8,7]=>[7,8,5,2,1,3,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [6,4,5,1,3,8,7,2]=>[1,4,6,5,8,3,7,2]=>[2,7,3,8,5,6,4,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [6,1,3,5,4,8,2,7]=>[6,1,5,8,3,4,2,7]=>[7,2,4,3,8,5,1,6]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [5,1,4,8,3,7,6,2]=>[8,5,4,7,1,3,6,2]=>[2,6,3,1,7,4,5,8]=>[[1,2,5,7,8],[3,6],[4]]=>14 [1,8,7,3,4,6,5,2]=>[8,3,4,7,6,5,1,2]=>[2,1,5,6,7,4,3,8]=>[[1,3,4,5,8],[2,6],[7]]=>16 [5,3,1,2,4,6,8,7]=>[1,3,2,5,8,4,6,7]=>[7,6,4,8,5,2,3,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>7 [8,5,7,3,1,2,4,6]=>[1,3,2,8,5,4,7,6]=>[6,7,4,5,8,2,3,1]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [5,1,3,2,8,4,6,7]=>[5,3,1,2,8,4,6,7]=>[7,6,4,8,2,1,3,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [1,4,8,3,5,2,6,7]=>[8,1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>9 [1,4,3,8,5,7,2,6]=>[4,8,7,3,5,1,2,6]=>[6,2,1,5,3,7,8,4]=>[[1,4,6,7],[2,5,8],[3]]=>10 [2,7,3,4,8,6,5,1]=>[7,8,2,3,6,4,5,1]=>[1,5,4,6,3,2,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [5,8,1,7,3,2,4,6]=>[5,1,3,2,8,7,4,6]=>[6,4,7,8,2,3,1,5]=>[[1,3,4],[2,6,8],[5],[7]]=>15 [8,7,3,6,2,1,4,5]=>[3,2,1,8,4,7,6,5]=>[5,6,7,4,8,1,2,3]=>[[1,2,3,5],[4,7,8],[6]]=>20 [2,1,5,8,3,4,7,6]=>[5,2,8,7,1,3,4,6]=>[6,4,3,1,7,8,2,5]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [3,8,5,1,2,7,4,6]=>[1,3,8,5,2,7,4,6]=>[6,4,7,2,5,8,3,1]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [2,7,1,6,5,8,3,4]=>[7,6,2,5,1,8,3,4]=>[4,3,8,1,5,2,6,7]=>[[1,3,7,8],[2,5],[4,6]]=>13 [6,2,3,5,7,4,8,1]=>[6,2,3,5,7,4,8,1]=>[1,8,4,7,5,3,2,6]=>[[1,2,4,8],[3],[5],[6],[7]]=>13 [6,4,7,5,3,8,2,1]=>[4,6,7,5,3,8,2,1]=>[1,2,8,3,5,7,6,4]=>[[1,2,3,5,6],[4],[7],[8]]=>20 [8,5,6,2,4,7,1,3]=>[2,5,6,4,1,8,7,3]=>[3,7,8,1,4,6,5,2]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [4,8,5,6,7,1,3,2]=>[4,5,1,8,6,7,3,2]=>[2,3,7,6,8,1,5,4]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [6,5,1,8,2,4,7,3]=>[6,5,1,2,8,4,7,3]=>[3,7,4,8,2,1,5,6]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [4,3,7,1,2,8,5,6]=>[7,4,3,1,8,2,5,6]=>[6,5,2,8,1,3,4,7]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [2,6,7,3,8,4,5,1]=>[2,6,7,3,8,4,5,1]=>[1,5,4,8,3,7,6,2]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [2,7,6,4,3,8,5,1]=>[7,2,6,4,8,3,5,1]=>[1,5,3,8,4,6,2,7]=>[[1,2,4,6,8],[3,5],[7]]=>16 [5,1,7,4,6,2,3,8]=>[7,5,4,1,2,6,3,8]=>[8,3,6,2,1,4,5,7]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [4,2,7,5,3,6,1,8]=>[4,7,2,5,3,6,1,8]=>[8,1,6,3,5,2,7,4]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [3,1,7,6,5,2,4,8]=>[7,6,3,1,5,2,4,8]=>[8,4,2,5,1,3,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [1,8,4,2,5,7,3,6]=>[8,1,2,7,4,5,3,6]=>[6,3,5,4,7,2,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>11 [5,8,3,1,2,4,6,7]=>[1,3,2,5,4,8,6,7]=>[7,6,8,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>12 [1,4,8,5,2,3,6,7]=>[8,1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [1,4,8,5,2,3,7,6]=>[4,1,5,8,7,2,3,6]=>[6,3,2,7,8,5,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [7,2,5,8,1,4,3,6]=>[5,2,7,4,1,3,8,6]=>[6,8,3,1,4,7,2,5]=>[[1,2,6],[3,5,8],[4,7]]=>15 [7,1,4,2,6,8,3,5]=>[7,1,4,6,2,3,8,5]=>[5,8,3,2,6,4,1,7]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [1,7,5,8,6,2,3,4]=>[5,1,7,2,8,6,3,4]=>[4,3,6,8,2,7,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [8,4,7,1,2,6,3,5]=>[4,1,2,8,7,3,6,5]=>[5,6,3,7,8,2,1,4]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [1,5,8,7,2,4,3,6]=>[8,1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>13 [1,5,4,2,8,3,7,6]=>[5,4,8,1,7,2,3,6]=>[6,3,2,7,1,8,4,5]=>[[1,4,6],[2,7,8],[3],[5]]=>9 [8,7,1,3,2,5,4,6]=>[3,5,1,2,4,8,7,6]=>[6,7,8,4,2,1,5,3]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [6,7,4,2,8,1,3,5]=>[2,6,4,1,7,3,8,5]=>[5,8,3,7,1,4,6,2]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [4,1,6,8,7,2,3,5]=>[8,4,1,6,2,7,3,5]=>[5,3,7,2,6,1,4,8]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [4,1,6,8,2,7,3,5]=>[4,6,1,8,2,7,3,5]=>[5,3,7,2,8,1,6,4]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [6,8,3,7,4,1,2,5]=>[6,3,1,8,4,2,7,5]=>[5,7,2,4,8,1,3,6]=>[[1,2,5],[3,4,8],[6,7]]=>19 [1,2,5,7,6,8,3,4]=>[7,5,6,1,8,2,3,4]=>[4,3,2,8,1,6,5,7]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [8,4,3,6,7,5,2,1]=>[8,4,3,6,7,5,2,1]=>[1,2,5,7,6,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>21 [6,8,4,3,2,7,5,1]=>[6,4,3,8,2,7,5,1]=>[1,5,7,2,8,3,4,6]=>[[1,2,3,5,8],[4,6,7]]=>20 [7,5,4,1,8,3,6,2]=>[5,1,4,7,3,8,6,2]=>[2,6,8,3,7,4,1,5]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [7,1,2,8,4,6,3,5]=>[7,8,1,4,2,3,6,5]=>[5,6,3,2,4,1,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [1,3,7,6,4,8,2,5]=>[3,7,6,8,4,1,2,5]=>[5,2,1,4,8,6,7,3]=>[[1,4,5,7],[2,6],[3,8]]=>11 [1,8,6,5,7,2,4,3]=>[1,6,5,8,7,4,2,3]=>[3,2,4,7,8,5,6,1]=>[[1,3,4,5],[2,6,7],[8]]=>17 [2,8,7,6,4,1,5,3]=>[4,2,8,7,6,5,1,3]=>[3,1,5,6,7,8,2,4]=>[[1,3,4,5,6],[2,7,8]]=>19 [2,6,4,8,7,3,1,5]=>[8,6,7,2,4,3,1,5]=>[5,1,3,4,2,7,6,8]=>[[1,3,4,6,8],[2,7],[5]]=>15 [2,1,8,7,3,5,4,6]=>[2,8,1,7,5,3,4,6]=>[6,4,3,5,7,1,8,2]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [5,4,2,8,7,6,3,1]=>[8,2,5,7,4,6,3,1]=>[1,3,6,4,7,5,2,8]=>[[1,2,3,5,8],[4,6],[7]]=>18 [6,2,5,8,7,4,3,1]=>[6,8,5,7,2,4,3,1]=>[1,3,4,2,7,5,8,6]=>[[1,2,3,5,7],[4,6,8]]=>19 [6,1,8,5,7,4,3,2]=>[8,6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6,8]=>[[1,2,4,5,7,8],[3,6]]=>19 [8,5,1,4,7,6,3,2]=>[1,8,5,7,4,6,3,2]=>[2,3,6,4,7,5,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>19 [8,5,2,4,7,6,3,1]=>[5,8,2,4,7,6,3,1]=>[1,3,6,7,4,2,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>20 [8,2,7,6,3,1,5,4]=>[2,3,8,7,6,1,5,4]=>[4,5,1,6,7,8,3,2]=>[[1,2,4,5,6],[3,7],[8]]=>19 [8,1,3,7,2,4,6,5]=>[1,8,3,7,2,4,6,5]=>[5,6,4,2,7,3,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [2,6,7,3,5,8,4,1]=>[2,6,7,5,8,3,4,1]=>[1,4,3,8,5,7,6,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [2,6,7,3,5,8,1,4]=>[2,6,7,5,8,3,1,4]=>[4,1,3,8,5,7,6,2]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [2,5,6,7,1,4,8,3]=>[5,6,2,7,4,8,1,3]=>[3,1,8,4,7,2,6,5]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [2,7,3,5,8,4,6,1]=>[7,8,2,3,5,4,6,1]=>[1,6,4,5,3,2,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [5,2,3,6,8,4,1,7]=>[8,2,3,5,6,4,1,7]=>[7,1,4,6,5,3,2,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>12 [3,4,2,5,7,1,8,6]=>[3,4,7,2,5,8,1,6]=>[6,1,8,5,2,7,4,3]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [5,1,3,6,8,2,4,7]=>[8,3,5,1,2,6,4,7]=>[7,4,6,2,1,5,3,8]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [5,1,3,6,8,2,7,4]=>[3,5,6,8,1,2,7,4]=>[4,7,2,1,8,6,5,3]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [2,7,6,1,5,4,8,3]=>[7,2,6,5,4,8,1,3]=>[3,1,8,4,5,6,2,7]=>[[1,3,5,6,8],[2,4],[7]]=>14 [3,8,6,7,2,5,4,1]=>[6,3,8,7,5,2,4,1]=>[1,4,2,5,7,8,3,6]=>[[1,2,4,5,6],[3,7,8]]=>20 [5,8,1,2,7,4,3,6]=>[1,2,8,5,7,4,3,6]=>[6,3,4,7,5,8,2,1]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [6,3,1,8,2,4,5,7]=>[1,6,3,2,4,8,5,7]=>[7,5,8,4,2,3,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [4,6,3,7,8,1,5,2]=>[6,4,7,3,8,1,5,2]=>[2,5,1,8,3,7,4,6]=>[[1,2,4,8],[3,5,6],[7]]=>16 [4,2,3,6,8,1,7,5]=>[8,2,4,6,3,7,1,5]=>[5,1,7,3,6,4,2,8]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [3,6,2,4,8,7,5,1]=>[3,8,2,6,7,4,5,1]=>[1,5,4,7,6,2,8,3]=>[[1,2,4,7],[3,5],[6,8]]=>14 [4,3,2,7,5,8,6,1]=>[4,7,3,8,2,5,6,1]=>[1,6,5,2,8,3,7,4]=>[[1,2,5,7],[3,6],[4,8]]=>13 [3,6,8,5,2,1,4,7]=>[8,6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6,8]=>[[1,4,5,6,7,8],[2],[3]]=>15 [7,2,6,4,8,3,5,1]=>[4,7,6,2,3,8,5,1]=>[1,5,8,3,2,6,7,4]=>[[1,2,3,7],[4,6],[5,8]]=>18 [7,6,2,4,8,3,1,5]=>[2,7,4,6,3,1,8,5]=>[5,8,1,3,6,4,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [6,5,8,1,4,3,7,2]=>[1,6,5,8,4,3,7,2]=>[2,7,3,4,8,5,6,1]=>[[1,2,4,5,7],[3,6],[8]]=>18 [6,3,4,2,7,5,8,1]=>[3,4,2,6,7,5,8,1]=>[1,8,5,7,6,2,4,3]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [6,2,7,5,8,3,4,1]=>[6,7,5,2,3,8,4,1]=>[1,4,8,3,2,5,7,6]=>[[1,2,3,7],[4,6],[5,8]]=>18 [4,2,7,5,8,1,6,3]=>[2,7,4,5,8,1,6,3]=>[3,6,1,8,5,4,7,2]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [5,8,6,4,7,1,2,3]=>[5,1,8,6,4,2,7,3]=>[3,7,2,4,6,8,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>20 [2,5,1,8,7,3,4,6]=>[8,5,2,1,7,3,4,6]=>[6,4,3,7,1,2,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [7,2,4,3,8,6,1,5]=>[4,7,8,2,3,1,6,5]=>[5,6,1,3,2,8,7,4]=>[[1,2,6],[3,4,7],[5,8]]=>15 [6,8,4,3,5,1,7,2]=>[4,3,1,8,6,5,7,2]=>[2,7,5,6,8,1,3,4]=>[[1,2,4,5],[3,7,8],[6]]=>19 [6,3,8,1,7,4,5,2]=>[8,3,6,1,4,7,5,2]=>[2,5,7,4,1,6,3,8]=>[[1,2,3,8],[4,6],[5,7]]=>17 [2,5,7,6,8,4,1,3]=>[7,5,6,8,4,2,1,3]=>[3,1,2,4,8,6,5,7]=>[[1,3,4,5,8],[2,6],[7]]=>16 [7,6,1,4,5,2,8,3]=>[7,1,4,2,6,5,8,3]=>[3,8,5,6,2,4,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [2,4,7,3,6,8,1,5]=>[4,7,6,8,2,3,1,5]=>[5,1,3,2,8,6,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>12 [7,6,1,5,2,8,3,4]=>[7,1,6,2,5,3,8,4]=>[4,8,3,5,2,6,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [2,1,6,7,4,5,8,3]=>[6,2,7,4,5,8,1,3]=>[3,1,8,5,4,7,2,6]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [2,7,5,6,1,8,4,3]=>[5,2,7,6,8,4,1,3]=>[3,1,4,8,6,7,2,5]=>[[1,3,4,6],[2,5,8],[7]]=>15 [1,2,6,7,4,5,8,3]=>[6,4,7,5,8,1,2,3]=>[3,2,1,8,5,7,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>9 [3,8,6,5,7,2,1,4]=>[6,5,8,7,3,2,1,4]=>[4,1,2,3,7,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>19 [3,8,7,2,5,1,6,4]=>[3,5,2,8,7,6,1,4]=>[4,1,6,7,8,2,5,3]=>[[1,3,4,5],[2,6,7],[8]]=>17 [5,8,1,4,2,7,3,6]=>[5,4,1,2,8,7,3,6]=>[6,3,7,8,2,1,4,5]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [5,7,1,4,2,8,3,6]=>[7,5,1,4,2,8,3,6]=>[6,3,8,2,4,1,5,7]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [2,3,8,6,1,5,4,7]=>[2,8,3,6,5,1,4,7]=>[7,4,1,5,6,3,8,2]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [7,3,2,1,8,4,6,5]=>[3,7,2,8,1,4,6,5]=>[5,6,4,1,8,2,7,3]=>[[1,2,5],[3,6,7],[4,8]]=>13 [8,3,2,1,6,7,4,5]=>[8,3,2,6,1,4,7,5]=>[5,7,4,1,6,2,3,8]=>[[1,2,7,8],[3,5],[4,6]]=>14 [5,8,7,4,2,3,1,6]=>[2,8,7,5,4,3,1,6]=>[6,1,3,4,5,7,8,2]=>[[1,3,4,5,6,7],[2],[8]]=>20 [2,7,3,8,1,4,5,6]=>[2,7,3,1,4,8,5,6]=>[6,5,8,4,1,3,7,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [7,3,2,1,6,8,4,5]=>[3,7,2,6,1,4,8,5]=>[5,8,4,1,6,2,7,3]=>[[1,2,7],[3,5,8],[4,6]]=>13 [6,4,8,2,1,7,3,5]=>[4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>16 [2,3,1,8,7,5,6,4]=>[2,8,7,3,5,6,1,4]=>[4,1,6,5,3,7,8,2]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [6,4,1,2,7,8,5,3]=>[1,2,4,6,7,8,5,3]=>[3,5,8,7,6,4,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>13 [1,5,6,7,2,4,3,8]=>[5,1,6,7,4,2,3,8]=>[8,3,2,4,7,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [6,8,3,7,1,2,5,4]=>[3,1,6,8,2,7,5,4]=>[4,5,7,2,8,6,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>18 [6,8,2,1,4,7,3,5]=>[2,6,8,1,4,3,7,5]=>[5,7,3,4,1,8,6,2]=>[[1,2,6],[3,4,7],[5,8]]=>15 [2,7,3,5,1,8,6,4]=>[5,2,3,7,8,6,1,4]=>[4,1,6,8,7,3,2,5]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [3,7,8,1,6,5,4,2]=>[7,8,3,6,5,1,4,2]=>[2,4,1,5,6,3,8,7]=>[[1,2,4,5,7],[3,6,8]]=>18 [8,3,4,7,2,1,6,5]=>[3,8,4,2,7,1,6,5]=>[5,6,1,7,2,4,8,3]=>[[1,2,4,7],[3,5,6],[8]]=>17 [2,8,6,4,1,5,3,7]=>[2,1,8,6,4,5,3,7]=>[7,3,5,4,6,8,1,2]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [7,6,1,8,2,4,3,5]=>[7,1,6,2,4,3,8,5]=>[5,8,3,4,2,6,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [4,1,3,2,6,8,5,7]=>[4,8,1,3,6,2,5,7]=>[7,5,2,6,3,1,8,4]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [8,7,3,2,5,4,1,6]=>[3,5,2,4,1,8,7,6]=>[6,7,8,1,4,2,5,3]=>[[1,2,3],[4,5,7],[6,8]]=>19 [5,1,2,4,6,8,3,7]=>[5,8,1,2,4,6,3,7]=>[7,3,6,4,2,1,8,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [6,1,2,4,5,8,3,7]=>[1,6,8,2,4,5,3,7]=>[7,3,5,4,2,8,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [8,7,4,5,1,3,2,6]=>[1,4,5,3,2,8,7,6]=>[6,7,8,2,3,5,4,1]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [3,1,5,7,4,2,8,6]=>[7,5,1,3,4,8,2,6]=>[6,2,8,4,3,1,5,7]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [4,1,8,7,2,5,3,6]=>[1,4,8,7,2,5,3,6]=>[6,3,5,2,7,8,4,1]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [7,8,6,1,2,3,5,4]=>[1,2,3,7,8,6,5,4]=>[4,5,6,8,7,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>18 [6,8,7,1,2,3,5,4]=>[1,2,6,8,3,7,5,4]=>[4,5,7,3,8,6,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [2,6,3,8,4,1,7,5]=>[2,6,3,8,4,7,1,5]=>[5,1,7,4,8,3,6,2]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [4,8,5,1,3,2,7,6]=>[1,4,5,3,8,7,2,6]=>[6,2,7,8,3,5,4,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [2,7,1,6,8,3,4,5]=>[7,6,2,1,3,8,4,5]=>[5,4,8,3,1,2,6,7]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [8,7,1,2,3,5,6,4]=>[1,8,2,3,5,7,6,4]=>[4,6,7,5,3,2,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>15 [3,2,4,7,6,1,8,5]=>[7,3,6,2,4,8,1,5]=>[5,1,8,4,2,6,3,7]=>[[1,3,6,8],[2,4],[5,7]]=>10 [3,2,4,6,1,8,7,5]=>[3,6,8,2,4,7,1,5]=>[5,1,7,4,2,8,6,3]=>[[1,3,6],[2,4,7],[5,8]]=>9 [7,1,8,3,6,5,2,4]=>[7,8,6,1,3,2,5,4]=>[4,5,2,3,1,6,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>17 [3,6,7,4,1,2,5,8]=>[6,3,1,7,4,2,5,8]=>[8,5,2,4,7,1,3,6]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [7,4,3,8,5,1,6,2]=>[4,7,3,1,5,8,6,2]=>[2,6,8,5,1,3,7,4]=>[[1,2,3],[4,6,7],[5,8]]=>18 [2,4,8,5,3,6,1,7]=>[2,8,4,5,3,6,1,7]=>[7,1,6,3,5,4,8,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [2,5,4,8,7,1,3,6]=>[8,5,7,4,2,1,3,6]=>[6,3,1,2,4,7,5,8]=>[[1,4,5,6,8],[2,7],[3]]=>13 [2,8,1,4,7,6,3,5]=>[8,7,2,6,1,4,3,5]=>[5,3,4,1,6,2,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>13 [4,6,8,5,2,1,3,7]=>[8,6,4,2,1,5,3,7]=>[7,3,5,1,2,4,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>16 [5,3,6,7,2,1,4,8]=>[3,5,6,2,1,7,4,8]=>[8,4,7,1,2,6,5,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>13 [1,4,7,5,8,2,3,6]=>[4,7,1,8,5,2,3,6]=>[6,3,2,5,8,1,7,4]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [2,6,8,1,7,4,3,5]=>[2,6,8,1,7,4,3,5]=>[5,3,4,7,1,8,6,2]=>[[1,3,4,6],[2,7],[5,8]]=>14 [3,6,7,5,4,8,1,2]=>[6,7,5,3,4,1,8,2]=>[2,8,1,4,3,5,7,6]=>[[1,2,6,7],[3,4,8],[5]]=>17 [4,5,7,2,6,3,8,1]=>[4,5,7,2,6,3,8,1]=>[1,8,3,6,2,7,5,4]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [6,7,5,4,2,8,1,3]=>[6,2,7,5,4,1,8,3]=>[3,8,1,4,5,7,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>20 [7,1,5,6,8,3,2,4]=>[5,7,6,3,1,2,8,4]=>[4,8,2,1,3,6,7,5]=>[[1,2,6,7],[3,5],[4,8]]=>16 [7,5,6,4,1,8,2,3]=>[1,5,7,6,4,2,8,3]=>[3,8,2,4,6,7,5,1]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [4,6,8,5,7,2,1,3]=>[8,6,4,5,2,1,7,3]=>[3,7,1,2,5,4,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>19 [5,7,1,2,3,6,8,4]=>[1,2,5,7,3,6,8,4]=>[4,8,6,3,7,5,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [2,3,5,7,8,1,6,4]=>[7,8,5,2,3,6,1,4]=>[4,1,6,3,2,5,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>11 [2,4,7,5,1,3,6,8]=>[4,7,5,2,1,3,6,8]=>[8,6,3,1,2,5,7,4]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [2,4,7,5,3,6,8,1]=>[4,7,5,2,3,6,8,1]=>[1,8,6,3,2,5,7,4]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [1,5,2,4,7,3,6,8]=>[5,7,1,4,2,3,6,8]=>[8,6,3,2,4,1,7,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [8,1,7,2,4,6,3,5]=>[8,7,1,2,4,3,6,5]=>[5,6,3,4,2,1,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [1,2,4,7,8,6,3,5]=>[7,8,6,4,1,2,3,5]=>[5,3,2,1,4,6,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [2,4,7,8,3,5,1,6]=>[2,7,8,4,3,5,1,6]=>[6,1,5,3,4,8,7,2]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [1,3,6,2,5,8,4,7]=>[3,6,8,5,1,2,4,7]=>[7,4,2,1,5,8,6,3]=>[[1,5,6],[2,7],[3,8],[4]]=>7 [3,6,2,5,8,4,7,1]=>[3,6,8,5,2,4,7,1]=>[1,7,4,2,5,8,6,3]=>[[1,2,5,6],[3,7],[4,8]]=>14 [2,5,8,3,6,4,7,1]=>[2,5,8,6,3,4,7,1]=>[1,7,4,3,6,8,5,2]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [3,5,2,4,7,8,1,6]=>[5,3,7,8,2,4,1,6]=>[6,1,4,2,8,7,3,5]=>[[1,3,5,8],[2,6],[4,7]]=>11 [8,3,5,2,4,6,1,7]=>[5,3,2,4,6,1,8,7]=>[7,8,1,6,4,2,3,5]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [3,6,4,7,1,2,5,8]=>[3,6,1,7,4,2,5,8]=>[8,5,2,4,7,1,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [5,8,1,2,6,3,7,4]=>[1,5,2,8,3,6,7,4]=>[4,7,6,3,8,2,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [1,8,4,2,7,3,6,5]=>[1,8,4,7,2,6,3,5]=>[5,3,6,2,7,4,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [8,4,3,6,1,7,2,5]=>[1,8,4,3,6,2,7,5]=>[5,7,2,6,3,4,8,1]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [5,3,1,8,2,4,7,6]=>[3,1,5,8,2,7,4,6]=>[6,4,7,2,8,5,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [1,2,6,3,7,5,8,4]=>[6,7,1,5,8,2,3,4]=>[4,3,2,8,5,1,7,6]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [5,1,8,3,2,4,7,6]=>[5,1,3,8,2,7,4,6]=>[6,4,7,2,8,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [3,1,5,4,6,7,8,2]=>[5,1,3,4,6,7,8,2]=>[2,8,7,6,4,3,1,5]=>[[1,2,8],[3],[4],[5],[6],[7]]=>8 [7,2,1,3,8,5,4,6]=>[7,2,5,1,3,4,8,6]=>[6,8,4,3,1,5,2,7]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [2,1,7,3,8,6,4,5]=>[7,8,2,1,6,3,4,5]=>[5,4,3,6,1,2,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [1,7,5,3,2,4,8,6]=>[7,1,3,2,5,8,4,6]=>[6,4,8,5,2,3,1,7]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [1,4,2,7,6,5,8,3]=>[7,6,1,4,5,8,2,3]=>[3,2,8,5,4,1,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [3,4,1,6,5,7,8,2]=>[3,6,1,4,5,7,8,2]=>[2,8,7,5,4,1,6,3]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [2,8,7,3,4,1,5,6]=>[2,3,4,1,8,7,5,6]=>[6,5,7,8,1,4,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [5,7,6,2,3,8,1,4]=>[2,7,5,3,6,1,8,4]=>[4,8,1,6,3,5,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [4,8,2,1,5,3,7,6]=>[2,1,4,5,8,7,3,6]=>[6,3,7,8,5,4,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [5,8,2,1,4,3,7,6]=>[2,5,1,4,8,7,3,6]=>[6,3,7,8,4,1,5,2]=>[[1,3,4],[2,5,7],[6,8]]=>13 [5,8,3,1,4,2,7,6]=>[1,3,5,4,8,7,2,6]=>[6,2,7,8,4,5,3,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [3,8,4,1,5,2,7,6]=>[3,1,4,5,8,7,2,6]=>[6,2,7,8,5,4,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [3,8,5,1,4,2,7,6]=>[3,5,1,4,8,7,2,6]=>[6,2,7,8,4,1,5,3]=>[[1,3,4],[2,5,7],[6,8]]=>13 [4,1,7,8,3,2,6,5]=>[7,4,1,8,3,6,2,5]=>[5,2,6,3,8,1,4,7]=>[[1,3,5,8],[2,4,7],[6]]=>13 [1,8,6,2,4,3,7,5]=>[6,1,2,4,8,7,3,5]=>[5,3,7,8,4,2,1,6]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [1,8,7,2,4,3,6,5]=>[1,8,2,4,7,6,3,5]=>[5,3,6,7,4,2,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [5,8,2,1,6,3,7,4]=>[5,2,1,8,3,6,7,4]=>[4,7,6,3,8,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [2,8,3,1,7,4,6,5]=>[2,8,3,7,1,6,4,5]=>[5,4,6,1,7,3,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [4,8,2,1,7,3,6,5]=>[2,4,8,1,7,6,3,5]=>[5,3,6,7,1,8,4,2]=>[[1,3,4,6],[2,7],[5,8]]=>14 [7,3,6,8,2,1,5,4]=>[7,6,3,2,8,1,5,4]=>[4,5,1,8,2,3,6,7]=>[[1,2,4,7,8],[3,5,6]]=>18 [5,8,3,1,7,2,6,4]=>[5,3,8,1,7,2,6,4]=>[4,6,2,7,1,8,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>16 [3,8,5,1,7,2,6,4]=>[5,3,8,1,7,6,2,4]=>[4,2,6,7,1,8,3,5]=>[[1,3,4,6],[2,7,8],[5]]=>15 [1,8,6,3,7,2,5,4]=>[8,1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1,8]=>[[1,3,4,8],[2,5,6],[7]]=>15 [6,2,7,1,5,8,4,3]=>[2,6,7,5,8,1,4,3]=>[3,4,1,8,5,7,6,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [3,6,7,2,5,4,8,1]=>[6,3,7,5,2,4,8,1]=>[1,8,4,2,5,7,3,6]=>[[1,2,5,6],[3,7,8],[4]]=>15 [5,4,3,1,2,7,6,8]=>[1,5,4,3,7,2,6,8]=>[8,6,2,7,3,4,5,1]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [4,1,6,5,2,3,7,8]=>[6,4,1,2,5,3,7,8]=>[8,7,3,5,2,1,4,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [4,6,1,2,8,3,7,5]=>[6,1,4,8,2,7,3,5]=>[5,3,7,2,8,4,1,6]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [2,6,5,1,3,4,7,8]=>[2,1,6,5,3,4,7,8]=>[8,7,4,3,5,6,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [2,6,3,1,7,4,5,8]=>[2,3,6,1,7,4,5,8]=>[8,5,4,7,1,6,3,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>8 [6,5,3,7,2,4,1,8]=>[3,6,5,2,7,4,1,8]=>[8,1,4,7,2,5,6,3]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [2,3,6,7,1,5,4,8]=>[6,2,7,3,5,1,4,8]=>[8,4,1,5,3,7,2,6]=>[[1,4,6],[2,5,8],[3],[7]]=>9 [2,7,5,8,1,3,6,4]=>[5,2,1,7,8,6,3,4]=>[4,3,6,8,7,1,2,5]=>[[1,3,4],[2,5,8],[6,7]]=>14 [5,1,6,7,3,2,4,8]=>[5,6,3,1,2,7,4,8]=>[8,4,7,2,1,3,6,5]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [5,6,1,4,7,2,3,8]=>[5,6,1,4,2,7,3,8]=>[8,3,7,2,4,1,6,5]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [1,2,5,7,8,6,3,4]=>[7,8,5,1,6,2,3,4]=>[4,3,2,6,1,5,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [1,2,5,8,6,4,3,7]=>[5,8,6,4,1,2,3,7]=>[7,3,2,1,4,6,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [1,7,2,6,8,5,3,4]=>[7,6,1,8,2,5,3,4]=>[4,3,5,2,8,1,6,7]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [1,2,7,8,4,6,3,5]=>[7,8,1,6,4,2,3,5]=>[5,3,2,4,6,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [7,4,2,6,5,8,1,3]=>[7,2,4,6,5,1,8,3]=>[3,8,1,5,6,4,2,7]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [7,3,6,1,5,4,8,2]=>[7,3,6,1,5,4,8,2]=>[2,8,4,5,1,6,3,7]=>[[1,2,4,6,8],[3,7],[5]]=>16 [3,2,6,7,1,4,8,5]=>[6,7,3,2,8,1,4,5]=>[5,4,1,8,2,3,7,6]=>[[1,4,6,7],[2,5],[3,8]]=>10 [8,6,5,2,1,7,4,3]=>[2,6,1,5,8,7,4,3]=>[3,4,7,8,5,1,6,2]=>[[1,2,3,4],[5,7],[6,8]]=>20 [5,7,3,2,1,8,4,6]=>[3,2,7,5,1,8,4,6]=>[6,4,8,1,5,7,2,3]=>[[1,3,6],[2,5,8],[4,7]]=>14 [7,6,8,2,1,5,4,3]=>[2,7,1,6,8,5,4,3]=>[3,4,5,8,6,1,7,2]=>[[1,2,3,4,7],[5,8],[6]]=>20 [3,4,1,8,6,2,5,7]=>[3,8,4,1,6,2,5,7]=>[7,5,2,6,1,4,8,3]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [7,4,1,8,5,3,2,6]=>[7,4,5,1,3,2,8,6]=>[6,8,2,3,1,5,4,7]=>[[1,2,6,8],[3,4],[5,7]]=>16 [4,2,5,6,8,1,3,7]=>[8,2,4,5,1,6,3,7]=>[7,3,6,1,5,4,2,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [7,3,2,8,6,1,5,4]=>[7,8,3,2,6,1,5,4]=>[4,5,1,6,2,3,8,7]=>[[1,2,4,7],[3,5,6,8]]=>17 [7,5,8,2,6,1,4,3]=>[2,5,1,7,8,6,4,3]=>[3,4,6,8,7,1,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [5,1,8,7,6,3,2,4]=>[8,7,5,3,1,2,6,4]=>[4,6,2,1,3,5,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>17 [5,6,8,2,7,4,1,3]=>[5,8,2,6,1,7,4,3]=>[3,4,7,1,6,2,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>19 [6,2,5,4,1,3,8,7]=>[6,5,2,1,4,8,3,7]=>[7,3,8,4,1,2,5,6]=>[[1,3,7,8],[2,4],[5,6]]=>12 [6,4,1,2,3,5,8,7]=>[1,2,4,3,6,8,5,7]=>[7,5,8,6,3,4,2,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>9 [7,4,1,2,6,5,8,3]=>[7,1,2,4,6,5,8,3]=>[3,8,5,6,4,2,1,7]=>[[1,2,4,8],[3],[5],[6],[7]]=>13 [4,2,7,1,6,5,8,3]=>[7,2,4,6,1,5,8,3]=>[3,8,5,1,6,4,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [6,2,1,4,7,3,8,5]=>[2,4,6,1,3,7,8,5]=>[5,8,7,3,1,6,4,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>10 [3,6,8,4,2,5,1,7]=>[3,8,6,4,2,5,1,7]=>[7,1,5,2,4,6,8,3]=>[[1,3,5,6,7],[2],[4],[8]]=>15 [8,5,1,4,6,2,3,7]=>[5,4,1,2,6,3,8,7]=>[7,8,3,6,2,1,4,5]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [5,4,8,6,3,2,1,7]=>[8,5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5,8]=>[[1,3,4,5,7,8],[2],[6]]=>18 [7,2,5,6,8,4,3,1]=>[5,7,6,8,2,4,3,1]=>[1,3,4,2,8,6,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>19 [8,4,6,7,3,1,5,2]=>[4,1,8,6,3,7,5,2]=>[2,5,7,3,6,8,1,4]=>[[1,2,3,6],[4,5],[7,8]]=>21 [7,6,8,3,4,1,5,2]=>[3,1,7,6,4,8,5,2]=>[2,5,8,4,6,7,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>21 [4,6,8,5,1,2,7,3]=>[1,8,6,4,2,5,7,3]=>[3,7,5,2,4,6,8,1]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [8,5,6,1,2,7,3,4]=>[1,2,5,6,3,8,7,4]=>[4,7,8,3,6,5,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [6,7,3,4,1,8,5,2]=>[3,1,6,4,7,8,5,2]=>[2,5,8,7,4,6,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [2,6,3,1,8,4,7,5]=>[2,3,6,8,1,7,4,5]=>[5,4,7,1,8,6,3,2]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [3,6,2,8,4,1,7,5]=>[6,3,2,8,4,7,1,5]=>[5,1,7,4,8,2,3,6]=>[[1,3,5,8],[2,4,7],[6]]=>13 [4,1,3,6,8,5,2,7]=>[8,4,6,1,3,5,2,7]=>[7,2,5,3,1,6,4,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [6,3,5,7,1,2,8,4]=>[6,3,1,5,2,7,8,4]=>[4,8,7,2,5,1,3,6]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [5,2,4,6,1,8,3,7]=>[5,2,4,6,1,8,3,7]=>[7,3,8,1,6,4,2,5]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [2,5,3,1,6,7,8,4]=>[2,5,3,6,7,8,1,4]=>[4,1,8,7,6,3,5,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [1,8,5,3,2,4,6,7]=>[5,1,3,2,4,8,6,7]=>[7,6,8,4,2,3,1,5]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [1,6,7,3,4,2,5,8]=>[6,1,3,7,4,2,5,8]=>[8,5,2,4,7,3,1,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [1,7,8,5,3,4,2,6]=>[7,1,8,3,5,4,2,6]=>[6,2,4,5,3,8,1,7]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [1,7,6,8,4,2,3,5]=>[7,1,6,2,8,4,3,5]=>[5,3,4,8,2,6,1,7]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [1,7,8,6,4,3,2,5]=>[7,8,1,6,4,3,2,5]=>[5,2,3,4,6,1,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>17 [9,7,8,6,5,4,3,2,1]=>[7,9,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,9,7]=>[[1,2,3,4,5,6,7,8],[9]]=>35 [5,1,7,8,4,2,3,6]=>[1,5,7,2,8,4,3,6]=>[6,3,4,8,2,7,5,1]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [3,1,4,2,7,6,5,8]=>[7,1,3,4,6,2,5,8]=>[8,5,2,6,4,3,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [3,8,2,1,6,7,5,4]=>[8,3,2,6,7,5,1,4]=>[4,1,5,7,6,2,3,8]=>[[1,3,4,8],[2,5,7],[6]]=>14 [2,8,3,1,7,5,6,4]=>[2,8,3,5,7,6,1,4]=>[4,1,6,7,5,3,8,2]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [3,8,7,1,2,6,4,5]=>[3,1,8,2,7,6,4,5]=>[5,4,6,7,2,8,1,3]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [2,8,7,1,3,4,6,5]=>[2,8,1,3,7,6,4,5]=>[5,4,6,7,3,1,8,2]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [6,5,4,1,8,2,3,7]=>[1,6,5,4,2,8,3,7]=>[7,3,8,2,4,5,6,1]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [12,10,8,6,4,2,1,3,5,7,9,11]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>36 [4,6,3,2,7,1,8,5]=>[6,4,3,7,2,8,1,5]=>[5,1,8,2,7,3,4,6]=>[[1,3,5,7,8],[2,4],[6]]=>13 [2,6,4,7,8,5,3,1]=>[4,6,7,8,5,2,3,1]=>[1,3,2,5,8,7,6,4]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [6,1,3,8,4,5,7,2]=>[1,6,3,8,4,5,7,2]=>[2,7,5,4,8,3,6,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [1,2,5,8,4,6,7,3]=>[5,4,8,6,7,1,2,3]=>[3,2,1,7,6,8,4,5]=>[[1,4,6],[2,5,8],[3,7]]=>9 [5,3,4,8,2,1,6,7]=>[5,3,8,4,2,1,6,7]=>[7,6,1,2,4,8,3,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [1,5,3,8,4,6,7,2]=>[3,8,5,4,6,7,1,2]=>[2,1,7,6,4,5,8,3]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [5,2,8,1,4,6,3,7]=>[2,5,1,8,4,6,3,7]=>[7,3,6,4,8,1,5,2]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [3,4,5,8,2,1,6,7]=>[3,8,4,5,2,1,6,7]=>[7,6,1,2,5,4,8,3]=>[[1,4,5,7],[2],[3],[6],[8]]=>11 [8,2,7,6,3,4,5,1]=>[2,3,8,7,4,6,5,1]=>[1,5,6,4,7,8,3,2]=>[[1,2,3,5,6],[4],[7],[8]]=>20 [6,8,7,3,2,1,4,5]=>[3,2,1,8,6,4,7,5]=>[5,7,4,6,8,1,2,3]=>[[1,2,5],[3,4,8],[6,7]]=>19 [7,2,6,1,4,8,3,5]=>[2,4,7,6,1,3,8,5]=>[5,8,3,1,6,7,4,2]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [7,8,1,2,4,6,3,5]=>[4,7,1,2,3,8,6,5]=>[5,6,8,3,2,1,7,4]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [7,2,8,3,4,5,1,6]=>[2,3,7,4,5,1,8,6]=>[6,8,1,5,4,7,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [6,1,8,3,4,2,5,7]=>[1,6,3,4,2,8,5,7]=>[7,5,8,2,4,3,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [7,5,1,2,4,3,8,6]=>[5,1,2,4,3,7,8,6]=>[6,8,7,3,4,2,1,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [3,1,6,2,5,8,7,4]=>[3,6,8,1,5,7,2,4]=>[4,2,7,5,1,8,6,3]=>[[1,3,6],[2,4,7],[5,8]]=>9 [2,8,5,3,7,4,6,1]=>[8,2,5,3,7,4,6,1]=>[1,6,4,7,3,5,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [5,4,1,7,2,3,6,8]=>[1,5,4,2,7,3,6,8]=>[8,6,3,7,2,4,5,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [2,8,6,7,3,4,5,1]=>[2,6,3,8,7,4,5,1]=>[1,5,4,7,8,3,6,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [2,6,7,8,3,4,5,1]=>[6,2,7,3,8,4,5,1]=>[1,5,4,8,3,7,2,6]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [2,4,3,7,8,5,6,1]=>[7,8,4,2,3,5,6,1]=>[1,6,5,3,2,4,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [5,1,8,7,2,4,6,3]=>[5,1,8,7,2,4,6,3]=>[3,6,4,2,7,8,1,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [3,8,1,2,7,4,6,5]=>[3,8,1,7,2,6,4,5]=>[5,4,6,2,7,1,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [4,8,7,1,2,3,5,6]=>[1,2,4,3,8,7,5,6]=>[6,5,7,8,3,4,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [2,1,7,6,3,4,5,8]=>[2,1,7,6,3,4,5,8]=>[8,5,4,3,6,7,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [6,3,5,2,1,8,4,7]=>[6,3,2,5,1,8,4,7]=>[7,4,8,1,5,2,3,6]=>[[1,3,7,8],[2,5],[4,6]]=>13 [6,1,5,3,8,2,4,7]=>[6,5,3,1,2,8,4,7]=>[7,4,8,2,1,3,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [2,3,6,8,5,1,7,4]=>[8,6,5,2,3,7,1,4]=>[4,1,7,3,2,5,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>12 [3,2,4,8,6,1,7,5]=>[3,8,6,2,4,7,1,5]=>[5,1,7,4,2,6,8,3]=>[[1,3,6,7],[2,4],[5,8]]=>11 [1,4,5,2,3,8,7,6]=>[4,8,1,5,7,2,3,6]=>[6,3,2,7,5,1,8,4]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [4,2,1,5,3,6,8,7]=>[2,1,4,5,8,3,6,7]=>[7,6,3,8,5,4,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>6 [3,1,2,8,5,4,7,6]=>[8,3,1,5,7,2,4,6]=>[6,4,2,7,5,1,3,8]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [2,1,3,7,8,4,6,5]=>[7,2,8,6,1,3,4,5]=>[5,4,3,1,6,8,2,7]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [2,1,3,8,4,7,6,5]=>[8,2,7,6,1,3,4,5]=>[5,4,3,1,6,7,2,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [3,1,2,8,4,5,7,6]=>[1,3,8,7,2,4,5,6]=>[6,5,4,2,7,8,3,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [3,6,1,4,8,2,7,5]=>[6,1,3,8,4,7,2,5]=>[5,2,7,4,8,3,1,6]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [3,2,6,5,7,8,1,4]=>[6,3,5,7,8,2,1,4]=>[4,1,2,8,7,5,3,6]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [7,3,2,4,5,8,1,6]=>[3,2,4,5,7,1,8,6]=>[6,8,1,7,5,4,2,3]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [2,1,5,8,6,7,3,4]=>[5,8,6,7,2,1,3,4]=>[4,3,1,2,7,6,8,5]=>[[1,4,5,7],[2,6],[3,8]]=>11 [2,6,1,8,7,3,4,5]=>[8,6,2,1,3,7,4,5]=>[5,4,7,3,1,2,6,8]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [7,2,1,8,3,5,4,6]=>[2,7,5,1,3,4,8,6]=>[6,8,4,3,1,5,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [2,7,1,8,3,4,6,5]=>[2,1,7,8,3,6,4,5]=>[5,4,6,3,8,7,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [2,1,7,8,3,5,6,4]=>[2,7,5,8,6,1,3,4]=>[4,3,1,6,8,5,7,2]=>[[1,4,5],[2,6,7],[3,8]]=>11 [2,1,8,7,4,5,6,3]=>[2,4,8,7,5,6,1,3]=>[3,1,6,5,7,8,4,2]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [3,7,5,2,6,4,8,1]=>[5,3,7,6,2,4,8,1]=>[1,8,4,2,6,7,3,5]=>[[1,2,5,6],[3,7,8],[4]]=>15 [6,1,5,8,4,7,3,2]=>[6,8,5,4,7,1,3,2]=>[2,3,1,7,4,5,8,6]=>[[1,2,4,6,7],[3,5,8]]=>17 [1,4,6,8,5,7,2,3]=>[8,6,4,5,1,7,2,3]=>[3,2,7,1,5,4,6,8]=>[[1,3,7,8],[2,5],[4,6]]=>13 [2,8,5,1,6,4,3,7]=>[2,5,8,6,1,4,3,7]=>[7,3,4,1,6,8,5,2]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [2,5,8,3,7,1,4,6]=>[5,2,8,7,3,1,4,6]=>[6,4,1,3,7,8,2,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [8,3,5,4,7,6,1,2]=>[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>19 [8,5,2,3,4,1,7,6]=>[2,3,5,4,8,1,7,6]=>[6,7,1,8,4,5,3,2]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [8,4,1,6,5,3,7,2]=>[6,4,5,1,3,8,7,2]=>[2,7,8,3,1,5,4,6]=>[[1,2,3,8],[4,6],[5,7]]=>17 [4,8,2,5,6,3,1,7]=>[2,4,5,8,6,3,1,7]=>[7,1,3,6,8,5,4,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>15 [6,4,5,1,2,8,3,7]=>[1,4,6,5,2,8,3,7]=>[7,3,8,2,5,6,4,1]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [8,4,1,5,7,6,3,2]=>[8,1,4,7,5,6,3,2]=>[2,3,6,5,7,4,1,8]=>[[1,2,3,5,8],[4],[6],[7]]=>18 [8,1,6,3,5,2,4,7]=>[6,5,1,3,2,4,8,7]=>[7,8,4,2,3,1,5,6]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [4,6,2,5,3,8,1,7]=>[4,6,2,5,8,3,1,7]=>[7,1,3,8,5,2,6,4]=>[[1,3,4,7],[2,5],[6,8]]=>13 [4,6,5,2,1,8,3,7]=>[6,4,2,5,1,8,3,7]=>[7,3,8,1,5,2,4,6]=>[[1,3,7,8],[2,5],[4,6]]=>13 [5,8,4,3,6,7,2,1]=>[5,4,3,8,6,7,2,1]=>[1,2,7,6,8,3,4,5]=>[[1,2,3,5,8],[4,7],[6]]=>20 [3,2,6,5,1,8,4,7]=>[6,3,5,8,2,1,4,7]=>[7,4,1,2,8,5,3,6]=>[[1,4,5,8],[2,6],[3,7]]=>10 [7,4,5,8,1,6,2,3]=>[4,1,5,7,2,8,6,3]=>[3,6,8,2,7,5,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [5,1,8,4,6,7,3,2]=>[5,4,8,6,7,1,3,2]=>[2,3,1,7,6,8,4,5]=>[[1,2,4,6],[3,5,8],[7]]=>16 [5,4,1,7,2,3,8,6]=>[1,5,4,2,7,8,3,6]=>[6,3,8,7,2,4,5,1]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [8,5,3,1,2,7,4,6]=>[1,3,5,2,8,4,7,6]=>[6,7,4,8,2,5,3,1]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [3,8,6,7,1,2,4,5]=>[1,6,3,2,8,7,4,5]=>[5,4,7,8,2,3,6,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [5,3,8,4,7,1,2,6]=>[5,8,3,1,7,4,2,6]=>[6,2,4,7,1,3,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>16 [5,6,4,2,8,1,3,7]=>[5,6,4,2,1,8,3,7]=>[7,3,8,1,2,4,6,5]=>[[1,3,6,7],[2,5],[4,8]]=>15 [4,5,3,8,1,2,6,7]=>[8,4,1,5,3,2,6,7]=>[7,6,2,3,5,1,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [6,5,3,8,1,7,2,4]=>[3,6,5,1,8,2,7,4]=>[4,7,2,8,1,5,6,3]=>[[1,2,4],[3,6,7],[5,8]]=>17 [8,3,7,1,6,2,4,5]=>[1,8,3,2,7,4,6,5]=>[5,6,4,7,2,3,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [2,6,8,7,1,3,4,5]=>[2,1,8,6,3,7,4,5]=>[5,4,7,3,6,8,1,2]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [4,7,2,8,6,1,3,5]=>[4,7,2,1,8,6,3,5]=>[5,3,6,8,1,2,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>16 [4,2,8,7,6,1,3,5]=>[8,7,4,2,1,6,3,5]=>[5,3,6,1,2,4,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>16 [8,1,4,6,5,7,2,3]=>[8,1,6,4,5,2,7,3]=>[3,7,2,5,4,6,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [8,1,7,5,6,4,2,3]=>[5,1,8,7,6,2,4,3]=>[3,4,2,6,7,8,1,5]=>[[1,2,4,5,6],[3,8],[7]]=>20 [7,8,1,5,2,6,4,3]=>[7,1,2,8,5,6,4,3]=>[3,4,6,5,8,2,1,7]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [8,7,2,5,6,3,4,1]=>[8,2,5,3,7,6,4,1]=>[1,4,6,7,3,5,2,8]=>[[1,2,3,4,8],[5,6],[7]]=>22 [2,6,3,7,8,1,4,5]=>[6,7,2,3,1,8,4,5]=>[5,4,8,1,3,2,7,6]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [7,2,5,6,3,4,8,1]=>[7,2,5,3,6,4,8,1]=>[1,8,4,6,3,5,2,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [7,2,8,6,3,1,5,4]=>[2,7,3,8,6,1,5,4]=>[4,5,1,6,8,3,7,2]=>[[1,2,4,5],[3,6,7],[8]]=>18 [6,3,8,4,7,2,5,1]=>[6,8,3,4,2,7,5,1]=>[1,5,7,2,4,3,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>19 [7,2,8,5,4,1,3,6]=>[7,5,4,2,1,3,8,6]=>[6,8,3,1,2,4,5,7]=>[[1,2,6,7,8],[3,5],[4]]=>17 [7,2,3,6,8,4,5,1]=>[7,6,2,3,4,8,5,1]=>[1,5,8,4,3,2,6,7]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [7,2,5,4,8,3,6,1]=>[5,4,7,2,3,8,6,1]=>[1,6,8,3,2,7,4,5]=>[[1,2,3,8],[4,6],[5,7]]=>17 [7,2,8,3,6,1,4,5]=>[7,2,3,1,8,4,6,5]=>[5,6,4,8,1,3,2,7]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [7,4,5,2,8,3,6,1]=>[4,2,5,7,3,8,6,1]=>[1,6,8,3,7,5,2,4]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [3,1,6,7,4,5,2,8]=>[6,1,7,3,4,5,2,8]=>[8,2,5,4,3,7,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [3,1,5,4,7,6,2,8]=>[5,7,1,3,4,6,2,8]=>[8,2,6,4,3,1,7,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [7,3,6,8,2,4,5,1]=>[7,6,3,2,4,8,5,1]=>[1,5,8,4,2,3,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>19 [5,1,3,2,4,6,8,7]=>[3,1,2,5,8,4,6,7]=>[7,6,4,8,5,2,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>6 [6,4,2,5,7,3,8,1]=>[2,4,6,5,7,3,8,1]=>[1,8,3,7,5,6,4,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>15 [5,7,8,4,2,3,6,1]=>[7,2,8,5,4,3,6,1]=>[1,6,3,4,5,8,2,7]=>[[1,2,4,5,6],[3,8],[7]]=>20 [6,5,2,4,3,8,7,1]=>[6,2,5,4,8,3,7,1]=>[1,7,3,8,4,5,2,6]=>[[1,2,4,6,8],[3,5],[7]]=>16 [6,5,3,4,1,8,2,7]=>[3,6,5,4,1,8,2,7]=>[7,2,8,1,4,5,6,3]=>[[1,3,6,7],[2,5],[4,8]]=>15 [6,4,5,3,8,1,2,7]=>[4,6,5,1,8,3,2,7]=>[7,2,3,8,1,5,6,4]=>[[1,3,4,7],[2,6],[5,8]]=>16 [5,6,4,8,3,1,2,7]=>[5,6,1,8,4,3,2,7]=>[7,2,3,4,8,1,6,5]=>[[1,3,4,5],[2,7],[6,8]]=>17 [6,3,4,7,5,2,8,1]=>[3,4,6,7,5,2,8,1]=>[1,8,2,5,7,6,4,3]=>[[1,2,4,5],[3],[6],[7],[8]]=>16 [7,3,2,6,4,8,5,1]=>[7,3,2,4,6,8,5,1]=>[1,5,8,6,4,2,3,7]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [4,7,2,6,5,3,8,1]=>[7,4,6,2,5,3,8,1]=>[1,8,3,5,2,6,4,7]=>[[1,2,4,6,8],[3,7],[5]]=>16 [8,1,3,7,6,2,5,4]=>[3,8,7,6,1,2,5,4]=>[4,5,2,1,6,7,8,3]=>[[1,2,5,6,7],[3,8],[4]]=>16 [5,4,2,6,8,7,3,1]=>[2,5,8,4,6,7,3,1]=>[1,3,7,6,4,8,5,2]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [3,7,2,5,8,6,4,1]=>[3,5,7,8,6,2,4,1]=>[1,4,2,6,8,7,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [7,2,3,5,8,6,4,1]=>[2,7,8,3,5,6,4,1]=>[1,4,6,5,3,8,7,2]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [4,6,5,3,8,1,7,2]=>[6,4,5,3,8,1,7,2]=>[2,7,1,8,3,5,4,6]=>[[1,2,4,8],[3,5,6],[7]]=>16 [7,2,3,8,4,6,5,1]=>[2,7,8,3,4,6,5,1]=>[1,5,6,4,3,8,7,2]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [5,4,2,8,3,7,6,1]=>[5,4,8,2,7,3,6,1]=>[1,6,3,7,2,8,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>16 [3,8,1,7,4,6,5,2]=>[3,8,7,6,1,4,5,2]=>[2,5,4,1,6,7,8,3]=>[[1,2,5,6,7],[3,8],[4]]=>16 [8,2,5,6,1,4,3,7]=>[5,2,6,4,1,3,8,7]=>[7,8,3,1,4,6,2,5]=>[[1,2,6],[3,5,8],[4,7]]=>15 [8,6,2,5,1,4,3,7]=>[2,6,5,1,4,3,8,7]=>[7,8,3,4,1,5,6,2]=>[[1,2,6,7],[3,4],[5,8]]=>17 [4,7,8,6,5,2,1,3]=>[7,8,6,4,2,1,5,3]=>[3,5,1,2,4,6,8,7]=>[[1,2,5,6,7],[3,4,8]]=>21 [7,2,8,5,6,4,1,3]=>[7,5,8,6,2,1,4,3]=>[3,4,1,2,6,8,5,7]=>[[1,2,5,6],[3,4,7,8]]=>20 [3,8,2,7,4,1,6,5]=>[3,2,8,4,7,6,1,5]=>[5,1,6,7,4,8,2,3]=>[[1,3,4,6],[2,5,8],[7]]=>15 [2,8,6,5,7,1,3,4]=>[6,5,2,1,8,7,3,4]=>[4,3,7,8,1,2,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>17 [3,7,8,6,2,5,4,1]=>[7,3,8,6,5,2,4,1]=>[1,4,2,5,6,8,3,7]=>[[1,2,4,5,6],[3,7,8]]=>20 [1,4,8,6,2,5,7,3]=>[4,8,1,6,5,7,2,3]=>[3,2,7,5,6,1,8,4]=>[[1,3,5,7],[2,4],[6,8]]=>12 [3,4,8,6,2,5,1,7]=>[8,3,6,4,2,5,1,7]=>[7,1,5,2,4,6,3,8]=>[[1,3,5,6,8],[2],[4],[7]]=>14 [7,3,8,6,2,5,4,1]=>[7,3,8,6,2,5,4,1]=>[1,4,5,2,6,8,3,7]=>[[1,2,3,5,6],[4,7,8]]=>21 [5,3,8,1,6,4,7,2]=>[3,5,8,1,6,4,7,2]=>[2,7,4,6,1,8,5,3]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [4,8,5,1,7,6,3,2]=>[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>18 [5,8,1,7,6,2,3,4]=>[1,8,5,2,7,3,6,4]=>[4,6,3,7,2,5,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [3,1,8,5,6,4,7,2]=>[1,8,5,6,3,4,7,2]=>[2,7,4,3,6,5,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [2,3,8,6,4,5,1,7]=>[2,8,3,6,4,5,1,7]=>[7,1,5,4,6,3,8,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [1,4,8,6,5,2,3,7]=>[8,4,1,6,5,2,3,7]=>[7,3,2,5,6,1,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [7,6,2,8,5,4,3,1]=>[7,6,8,2,5,4,3,1]=>[1,3,4,5,2,8,6,7]=>[[1,2,3,4,6,8],[5,7]]=>22 [3,4,6,2,5,7,1,8]=>[6,3,4,2,5,7,1,8]=>[8,1,7,5,2,4,3,6]=>[[1,3,6,8],[2],[4],[5],[7]]=>10 [1,7,5,2,6,8,3,4]=>[1,7,5,6,2,8,3,4]=>[4,3,8,2,6,5,7,1]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [3,5,7,1,6,2,4,8]=>[7,5,3,1,6,2,4,8]=>[8,4,2,6,1,3,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [7,8,6,1,2,4,3,5]=>[7,1,2,4,3,8,6,5]=>[5,6,8,3,4,2,1,7]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [1,7,4,8,2,6,3,5]=>[1,7,8,4,2,6,3,5]=>[5,3,6,2,4,8,7,1]=>[[1,3,6],[2,5,7],[4],[8]]=>13 [5,1,7,2,4,6,3,8]=>[5,1,7,2,4,6,3,8]=>[8,3,6,4,2,7,1,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [7,3,2,1,4,8,5,6]=>[3,2,7,1,4,5,8,6]=>[6,8,5,4,1,7,2,3]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [6,8,2,1,3,4,7,5]=>[2,1,3,6,8,4,7,5]=>[5,7,4,8,6,3,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [5,2,1,7,6,4,3,8]=>[7,2,5,6,1,4,3,8]=>[8,3,4,1,6,5,2,7]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [7,4,8,3,6,5,1,2]=>[7,4,8,3,1,6,5,2]=>[2,5,6,1,3,8,4,7]=>[[1,2,3,6],[4,5,7,8]]=>21 [6,4,8,5,1,7,2,3]=>[1,6,4,8,5,2,7,3]=>[3,7,2,5,8,4,6,1]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [6,3,2,7,4,5,8,1]=>[3,6,2,4,7,5,8,1]=>[1,8,5,7,4,2,6,3]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [7,4,3,8,5,6,1,2]=>[4,7,3,5,1,8,6,2]=>[2,6,8,1,5,3,7,4]=>[[1,2,3],[4,5,7],[6,8]]=>19 [6,2,1,8,7,3,5,4]=>[8,6,2,7,1,3,5,4]=>[4,5,3,1,7,2,6,8]=>[[1,2,5,8],[3,6,7],[4]]=>14 [4,2,6,8,5,7,1,3]=>[8,6,2,4,5,1,7,3]=>[3,7,1,5,4,2,6,8]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [8,6,4,3,2,7,5,1]=>[4,3,2,6,8,7,5,1]=>[1,5,7,8,6,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>21 [5,1,8,6,2,4,7,3]=>[1,5,8,6,2,4,7,3]=>[3,7,4,2,6,8,5,1]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [1,5,4,3,8,7,2,6]=>[5,8,4,7,3,1,2,6]=>[6,2,1,3,7,4,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>11 [1,2,5,8,4,3,6,7]=>[8,5,1,4,2,3,6,7]=>[7,6,3,2,4,1,5,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>7 [3,5,6,2,4,7,8,1]=>[5,6,3,2,4,7,8,1]=>[1,8,7,4,2,3,6,5]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [3,5,6,7,2,4,8,1]=>[5,6,7,3,2,4,8,1]=>[1,8,4,2,3,7,6,5]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [3,5,7,6,8,2,4,1]=>[7,5,6,8,3,2,4,1]=>[1,4,2,3,8,6,5,7]=>[[1,2,4,5,8],[3,6],[7]]=>17 [3,5,7,2,6,8,4,1]=>[7,5,3,6,8,2,4,1]=>[1,4,2,8,6,3,5,7]=>[[1,2,4,7,8],[3,5],[6]]=>15 [3,5,7,4,2,6,8,1]=>[7,5,3,4,2,6,8,1]=>[1,8,6,2,4,3,5,7]=>[[1,2,5,7,8],[3],[4],[6]]=>14 [3,5,4,7,2,6,8,1]=>[5,7,3,4,2,6,8,1]=>[1,8,6,2,4,3,7,5]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [3,4,5,7,2,8,6,1]=>[7,3,4,5,8,2,6,1]=>[1,6,2,8,5,4,3,7]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [3,5,4,7,8,2,6,1]=>[5,7,8,3,4,2,6,1]=>[1,6,2,4,3,8,7,5]=>[[1,2,4,6],[3,7],[5,8]]=>15 [3,5,4,7,2,8,6,1]=>[5,7,3,4,8,2,6,1]=>[1,6,2,8,4,3,7,5]=>[[1,2,4,7],[3,5],[6,8]]=>14 [3,2,5,7,4,8,6,1]=>[7,3,5,8,2,4,6,1]=>[1,6,4,2,8,5,3,7]=>[[1,2,5,8],[3,6],[4,7]]=>12 [3,5,7,4,2,8,6,1]=>[7,5,3,4,8,2,6,1]=>[1,6,2,8,4,3,5,7]=>[[1,2,4,7,8],[3,5],[6]]=>15 [3,5,7,8,4,2,6,1]=>[7,8,5,3,4,2,6,1]=>[1,6,2,4,3,5,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>17 [3,5,7,8,2,6,4,1]=>[7,8,5,3,6,2,4,1]=>[1,4,2,6,3,5,8,7]=>[[1,2,4,6,7],[3,5,8]]=>17 [3,5,7,8,6,2,4,1]=>[7,8,5,6,3,2,4,1]=>[1,4,2,3,6,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>18 [4,2,5,6,7,3,8,1]=>[2,4,5,6,7,3,8,1]=>[1,8,3,7,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>12 [4,2,5,6,7,8,9,3,1]=>[2,4,5,6,7,8,9,3,1]=>[1,3,9,8,7,6,5,4,2]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>15 [8,6,1,4,3,5,2,7]=>[6,1,4,3,5,2,8,7]=>[7,8,2,5,3,4,1,6]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [6,1,8,4,3,5,2,7]=>[6,4,1,3,8,5,2,7]=>[7,2,5,8,3,1,4,6]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [8,1,4,2,5,3,6,7]=>[1,4,5,2,3,6,8,7]=>[7,8,6,3,2,5,4,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>10 [8,4,1,3,5,2,6,7]=>[4,1,3,5,2,6,8,7]=>[7,8,6,2,5,3,1,4]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [4,1,8,3,5,2,6,7]=>[4,1,3,8,5,2,6,7]=>[7,6,2,5,8,3,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [8,3,1,2,5,4,6,7]=>[1,3,5,2,4,6,8,7]=>[7,8,6,4,2,5,3,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>10 [1,4,8,6,7,2,5,3]=>[6,4,8,7,1,5,2,3]=>[3,2,5,1,7,8,4,6]=>[[1,3,5,6],[2,7,8],[4]]=>14 [8,2,5,4,1,3,7,6]=>[5,4,2,8,1,3,7,6]=>[6,7,3,1,8,2,4,5]=>[[1,2,5,8],[3,6,7],[4]]=>14 [2,4,5,8,6,3,1,7]=>[4,8,5,6,2,3,1,7]=>[7,1,3,2,6,5,8,4]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [4,7,5,8,2,3,1,6]=>[4,7,2,8,5,3,1,6]=>[6,1,3,5,8,2,7,4]=>[[1,3,4,5],[2,7],[6,8]]=>17 [4,6,7,5,1,8,3,2]=>[6,4,7,1,5,8,3,2]=>[2,3,8,5,1,7,4,6]=>[[1,2,3,6],[4,7,8],[5]]=>17 [1,7,3,6,5,8,2,4]=>[7,6,5,8,1,3,2,4]=>[4,2,3,1,8,5,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>13 [8,3,4,2,6,7,1,5]=>[8,3,4,2,6,1,7,5]=>[5,7,1,6,2,4,3,8]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [7,5,3,8,6,2,1,4]=>[3,5,7,2,1,8,6,4]=>[4,6,8,1,2,7,5,3]=>[[1,2,3],[4,5,6],[7],[8]]=>20 [2,5,7,8,6,1,4,3]=>[7,8,5,2,6,4,1,3]=>[3,1,4,6,2,5,8,7]=>[[1,3,4,7],[2,5,6,8]]=>16 [7,2,6,8,4,5,1,3]=>[7,6,2,8,4,1,5,3]=>[3,5,1,4,8,2,6,7]=>[[1,2,5,8],[3,4,7],[6]]=>19 [5,1,7,6,8,2,3,4]=>[7,5,1,6,2,3,8,4]=>[4,8,3,2,6,1,5,7]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [4,3,1,6,5,2,8,7]=>[1,4,6,3,5,8,2,7]=>[7,2,8,5,3,6,4,1]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [4,6,7,2,1,5,3,8]=>[6,4,2,7,1,5,3,8]=>[8,3,5,1,7,2,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>13 [8,7,1,5,4,3,2,6]=>[5,4,3,1,2,8,7,6]=>[6,7,8,2,1,3,4,5]=>[[1,2,3,8],[4,6,7],[5]]=>19 [3,6,7,2,1,5,4,8]=>[6,3,2,7,5,1,4,8]=>[8,4,1,5,7,2,3,6]=>[[1,4,5,8],[2,6,7],[3]]=>12 [5,7,1,6,2,3,4,8]=>[1,5,2,7,3,6,4,8]=>[8,4,6,3,7,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [2,3,6,7,4,5,1,8]=>[6,2,7,3,4,5,1,8]=>[8,1,5,4,3,7,2,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [8,2,5,6,3,1,4,7]=>[5,2,6,3,1,4,8,7]=>[7,8,4,1,3,6,2,5]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [5,6,8,7,1,3,2,4]=>[5,8,1,6,3,2,7,4]=>[4,7,2,3,6,1,8,5]=>[[1,2,5,7],[3,4],[6,8]]=>18 [2,3,8,6,5,1,4,7]=>[8,6,2,5,3,1,4,7]=>[7,4,1,3,5,2,6,8]=>[[1,4,5,7,8],[2],[3],[6]]=>12 [6,4,1,3,5,2,8,7]=>[4,1,3,6,5,8,2,7]=>[7,2,8,5,6,3,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [7,6,1,4,5,8,2,3]=>[1,7,6,4,5,2,8,3]=>[3,8,2,5,4,6,7,1]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [1,5,3,4,8,2,6,7]=>[5,3,8,4,1,2,6,7]=>[7,6,2,1,4,8,3,5]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [8,1,3,4,2,5,6,7]=>[3,4,1,2,5,6,8,7]=>[7,8,6,5,2,1,4,3]=>[[1,2],[3,7],[4,8],[5],[6]]=>9 [2,8,6,5,7,4,3,1]=>[6,5,8,7,4,2,3,1]=>[1,3,2,4,7,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>20 [2,8,6,5,7,4,1,3]=>[6,5,8,7,4,2,1,3]=>[3,1,2,4,7,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>19 [7,5,8,3,4,2,1,6]=>[5,3,7,4,2,1,8,6]=>[6,8,1,2,4,7,3,5]=>[[1,2,5,6],[3,4],[7,8]]=>20 [7,6,8,5,2,4,1,3]=>[2,7,6,1,8,5,4,3]=>[3,4,5,8,1,6,7,2]=>[[1,2,3,4,7],[5,6],[8]]=>23 [5,3,7,2,4,1,8,6]=>[5,3,2,7,4,8,1,6]=>[6,1,8,4,7,2,3,5]=>[[1,3,5,8],[2,4],[6,7]]=>13 [6,1,5,7,2,4,3,8]=>[1,6,5,7,2,4,3,8]=>[8,3,4,2,7,5,6,1]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [5,6,8,3,7,4,2,1]=>[5,6,8,3,7,4,2,1]=>[1,2,4,7,3,8,6,5]=>[[1,2,3,4,6],[5,7],[8]]=>21 [4,6,1,5,7,2,8,3]=>[6,1,4,5,2,7,8,3]=>[3,8,7,2,5,4,1,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [2,5,8,4,6,3,7,1]=>[5,4,8,6,2,3,7,1]=>[1,7,3,2,6,8,4,5]=>[[1,2,5,6],[3,7,8],[4]]=>15 [4,8,3,6,7,5,2,1]=>[4,6,8,7,3,5,2,1]=>[1,2,5,3,7,8,6,4]=>[[1,2,3,5,6],[4,7],[8]]=>20 [4,3,7,1,2,6,8,5]=>[1,7,4,3,6,8,2,5]=>[5,2,8,6,3,4,7,1]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [6,8,1,5,2,7,4,3]=>[6,1,8,2,5,7,4,3]=>[3,4,7,5,2,8,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [4,5,8,2,3,7,6,1]=>[4,2,8,5,7,3,6,1]=>[1,6,3,7,5,8,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>16 [5,6,2,1,3,8,4,7]=>[2,1,5,6,3,8,4,7]=>[7,4,8,3,6,5,1,2]=>[[1,3],[2,5],[4,6],[7,8]]=>11 [7,1,4,8,2,5,3,6]=>[4,7,1,5,2,3,8,6]=>[6,8,3,2,5,1,7,4]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [3,5,8,6,7,2,4,1]=>[5,8,6,7,3,2,4,1]=>[1,4,2,3,7,6,8,5]=>[[1,2,4,5,7],[3,6],[8]]=>18 [2,5,6,8,3,7,4,1]=>[5,6,8,2,7,3,4,1]=>[1,4,3,7,2,8,6,5]=>[[1,2,4,6],[3,7],[5,8]]=>15 [5,2,8,6,7,1,4,3]=>[5,8,6,2,7,1,4,3]=>[3,4,1,7,2,6,8,5]=>[[1,2,4,7],[3,5,6],[8]]=>17 [1,7,3,2,4,8,6,5]=>[3,7,8,1,2,6,4,5]=>[5,4,6,2,1,8,7,3]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [4,8,1,3,2,5,7,6]=>[4,1,3,8,2,7,5,6]=>[6,5,7,2,8,3,1,4]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [1,7,5,3,8,6,2,4]=>[1,7,8,5,6,3,2,4]=>[4,2,3,6,5,8,7,1]=>[[1,3,4,6],[2,5,7],[8]]=>14 [3,1,7,4,8,6,5,2]=>[7,8,1,6,3,4,5,2]=>[2,5,4,3,6,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [3,1,8,2,6,5,4,7]=>[8,1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [7,6,2,8,1,4,5,3]=>[2,7,6,1,4,8,5,3]=>[3,5,8,4,1,6,7,2]=>[[1,2,3,7],[4,6],[5,8]]=>18 [2,3,8,4,1,5,7,6]=>[2,3,4,8,7,1,5,6]=>[6,5,1,7,8,4,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [8,2,3,4,1,5,7,6]=>[2,3,4,8,1,5,7,6]=>[6,7,5,1,8,4,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [2,1,8,5,3,4,6,7]=>[8,2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [8,4,1,3,2,5,6,7]=>[4,1,3,2,5,6,8,7]=>[7,8,6,5,2,3,1,4]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [8,6,1,2,3,5,4,7]=>[6,1,2,3,5,4,8,7]=>[7,8,4,5,3,2,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [2,8,6,3,1,5,4,7]=>[2,3,8,6,1,5,4,7]=>[7,4,5,1,6,8,3,2]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [2,5,6,3,8,1,4,7]=>[5,6,2,8,3,1,4,7]=>[7,4,1,3,8,2,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [7,4,5,6,8,1,3,2]=>[4,5,1,7,6,8,3,2]=>[2,3,8,6,7,1,5,4]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [7,5,1,8,4,6,3,2]=>[7,8,1,5,4,6,3,2]=>[2,3,6,4,5,1,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>19 [7,2,5,3,6,4,8,1]=>[2,3,7,5,6,4,8,1]=>[1,8,4,6,5,7,3,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>15 [2,4,8,6,1,5,3,7]=>[8,4,2,6,5,1,3,7]=>[7,3,1,5,6,2,4,8]=>[[1,4,5,8],[2,6,7],[3]]=>12 [3,5,4,1,8,6,7,2]=>[5,8,3,1,4,6,7,2]=>[2,7,6,4,1,3,8,5]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [4,3,5,8,1,6,7,2]=>[4,8,3,5,1,6,7,2]=>[2,7,6,1,5,3,8,4]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [8,5,1,6,7,4,3,2]=>[5,6,8,7,1,4,3,2]=>[2,3,4,1,7,8,6,5]=>[[1,2,3,5,6],[4,7],[8]]=>20 [2,7,1,3,5,8,4,6]=>[2,7,8,1,3,5,4,6]=>[6,4,5,3,1,8,7,2]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [2,8,1,7,4,5,3,6]=>[8,2,1,7,4,5,3,6]=>[6,3,5,4,7,1,2,8]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [2,7,8,6,5,1,4,3]=>[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[[1,3,4,5,6],[2,7,8]]=>19 [7,5,4,6,8,1,3,2]=>[5,4,1,7,6,8,3,2]=>[2,3,8,6,7,1,4,5]=>[[1,2,3,5],[4,7,8],[6]]=>20 [2,4,5,8,6,1,7,3]=>[4,8,5,6,2,7,1,3]=>[3,1,7,2,6,5,8,4]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [7,3,6,2,5,4,8,1]=>[3,7,6,2,5,4,8,1]=>[1,8,4,5,2,6,7,3]=>[[1,2,4,6,7],[3,8],[5]]=>17 [6,8,1,5,7,4,3,2]=>[8,6,5,7,1,4,3,2]=>[2,3,4,1,7,5,6,8]=>[[1,2,3,5,7,8],[4,6]]=>20 [8,6,1,5,7,4,3,2]=>[6,5,8,7,1,4,3,2]=>[2,3,4,1,7,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>21 [1,8,5,6,4,3,7,2]=>[5,6,4,3,8,7,1,2]=>[2,1,7,8,3,4,6,5]=>[[1,3,4,7],[2,5,6],[8]]=>16 [2,6,8,4,5,1,7,3]=>[4,8,6,5,2,7,1,3]=>[3,1,7,2,5,6,8,4]=>[[1,3,5,6,7],[2,4],[8]]=>15 [2,5,8,6,4,7,1,3]=>[5,8,6,4,7,2,1,3]=>[3,1,2,7,4,6,8,5]=>[[1,3,4,6,7],[2,5],[8]]=>16 [3,6,5,1,4,2,8,7]=>[3,6,5,1,4,8,2,7]=>[7,2,8,4,1,5,6,3]=>[[1,3,6,7],[2,4],[5,8]]=>11 [5,8,1,7,2,3,6,4]=>[1,5,8,2,7,3,6,4]=>[4,6,3,7,2,8,5,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [5,3,6,4,2,1,8,7]=>[3,5,6,4,2,8,1,7]=>[7,1,8,2,4,6,5,3]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [6,5,7,4,1,8,3,2]=>[1,6,5,7,4,8,3,2]=>[2,3,8,4,7,5,6,1]=>[[1,2,3,5,7],[4],[6],[8]]=>19 [6,1,7,4,5,2,8,3]=>[1,6,7,4,2,5,8,3]=>[3,8,5,2,4,7,6,1]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [5,3,2,1,7,8,4,6]=>[3,2,5,7,1,8,4,6]=>[6,4,8,1,7,5,2,3]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [4,1,5,7,8,3,6,2]=>[7,8,4,5,1,3,6,2]=>[2,6,3,1,5,4,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>13 [3,7,6,1,4,5,8,2]=>[7,3,1,6,4,5,8,2]=>[2,8,5,4,6,1,3,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [1,6,5,3,8,4,7,2]=>[6,5,3,8,4,7,1,2]=>[2,1,7,4,8,3,5,6]=>[[1,3,5,8],[2,4,7],[6]]=>13 [2,6,5,3,4,8,1,7]=>[2,6,5,8,3,4,1,7]=>[7,1,4,3,8,5,6,2]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [5,1,3,4,8,7,2,6]=>[8,1,5,7,3,4,2,6]=>[6,2,4,3,7,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [5,1,3,8,4,7,6,2]=>[5,8,1,7,3,4,6,2]=>[2,6,4,3,7,1,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [5,3,8,1,4,7,6,2]=>[3,5,8,1,7,4,6,2]=>[2,6,4,7,1,8,5,3]=>[[1,2,4,6],[3,7],[5,8]]=>15 [3,6,5,4,8,1,2,7]=>[6,5,8,3,1,4,2,7]=>[7,2,4,1,3,8,5,6]=>[[1,3,6,8],[2,5,7],[4]]=>14 [3,6,5,4,8,2,7,1]=>[6,5,8,3,4,2,7,1]=>[1,7,2,4,3,8,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>16 [3,5,2,4,8,7,6,1]=>[5,8,3,7,2,4,6,1]=>[1,6,4,2,7,3,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>13 [2,4,6,1,5,7,8,3]=>[6,4,2,5,7,8,1,3]=>[3,1,8,7,5,2,4,6]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [2,6,3,1,5,7,8,4]=>[2,3,6,5,7,8,1,4]=>[4,1,8,7,5,6,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [2,5,3,6,4,1,8,7]=>[2,5,6,3,4,8,1,7]=>[7,1,8,4,3,6,5,2]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [4,6,2,5,1,7,8,3]=>[4,6,2,1,5,7,8,3]=>[3,8,7,5,1,2,6,4]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [6,2,5,3,1,7,8,4]=>[2,6,3,1,5,7,8,4]=>[4,8,7,5,1,3,6,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [2,6,3,1,7,5,8,4]=>[2,3,6,7,5,8,1,4]=>[4,1,8,5,7,6,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [2,3,6,5,8,4,1,7]=>[6,8,5,2,3,4,1,7]=>[7,1,4,3,2,5,8,6]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [2,3,1,7,4,8,6,5]=>[2,7,8,3,6,1,4,5]=>[5,4,1,6,3,8,7,2]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [5,2,3,1,8,6,4,7]=>[2,3,5,8,1,6,4,7]=>[7,4,6,1,8,5,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [2,3,6,4,1,5,7,8]=>[2,6,3,4,1,5,7,8]=>[8,7,5,1,4,3,6,2]=>[[1,5,7],[2],[3],[4],[6],[8]]=>6 [2,8,6,3,7,4,1,5]=>[6,2,3,8,7,4,1,5]=>[5,1,4,7,8,3,2,6]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [2,6,3,7,4,1,5,8]=>[6,2,3,7,4,1,5,8]=>[8,5,1,4,7,3,2,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [2,7,8,3,1,6,5,4]=>[2,3,7,8,6,5,1,4]=>[4,1,5,6,8,7,3,2]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [7,4,8,2,5,1,6,3]=>[4,7,2,1,5,8,6,3]=>[3,6,8,5,1,2,7,4]=>[[1,2,3],[4,6,7],[5,8]]=>18 [7,5,2,3,1,6,4,8]=>[2,3,1,5,7,6,4,8]=>[8,4,6,7,5,1,3,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [6,1,3,5,2,7,8,4]=>[6,3,1,2,5,7,8,4]=>[4,8,7,5,2,1,3,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [1,8,3,5,4,6,2,7]=>[8,1,3,5,4,6,2,7]=>[7,2,6,4,5,3,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>11 [2,3,1,6,4,8,7,5]=>[6,8,2,3,7,1,4,5]=>[5,4,1,7,3,2,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [2,1,7,4,8,5,3,6]=>[7,2,4,8,5,1,3,6]=>[6,3,1,5,8,4,2,7]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [2,3,7,4,1,5,6,8]=>[2,3,7,4,1,5,6,8]=>[8,6,5,1,4,7,3,2]=>[[1,5,6],[2],[3],[4],[7],[8]]=>7 [2,7,3,8,4,1,5,6]=>[2,7,3,4,1,8,5,6]=>[6,5,8,1,4,3,7,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [8,5,2,3,1,4,7,6]=>[2,3,1,5,8,4,7,6]=>[6,7,4,8,5,1,3,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [5,3,1,4,2,6,8,7]=>[1,3,5,4,8,2,6,7]=>[7,6,2,8,4,5,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [8,1,7,3,2,5,4,6]=>[3,8,1,2,5,4,7,6]=>[6,7,4,5,2,1,8,3]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [8,1,6,2,5,4,3,7]=>[6,5,1,4,2,3,8,7]=>[7,8,3,2,4,1,5,6]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [4,2,7,5,1,3,6,8]=>[4,7,2,1,5,3,6,8]=>[8,6,3,5,1,2,7,4]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [4,2,8,1,3,6,7,5]=>[4,8,2,1,6,7,3,5]=>[5,3,7,6,1,2,8,4]=>[[1,3,7],[2,4,8],[5,6]]=>11 [7,1,3,6,2,5,8,4]=>[3,7,6,1,2,5,8,4]=>[4,8,5,2,1,6,7,3]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [5,2,7,1,4,8,3,6]=>[2,1,5,7,8,4,3,6]=>[6,3,4,8,7,5,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [5,2,7,3,6,1,4,8]=>[5,7,2,3,1,6,4,8]=>[8,4,6,1,3,2,7,5]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [6,4,1,3,7,2,5,8]=>[4,1,3,6,2,7,5,8]=>[8,5,7,2,6,3,1,4]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [7,4,6,1,2,5,8,3]=>[1,4,7,2,6,5,8,3]=>[3,8,5,6,2,7,4,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [6,1,3,8,2,5,7,4]=>[6,8,3,1,2,5,7,4]=>[4,7,5,2,1,3,8,6]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [7,2,5,3,6,1,4,8]=>[2,3,7,5,1,6,4,8]=>[8,4,6,1,5,7,3,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>13 [8,2,5,3,6,1,4,7]=>[2,5,6,3,1,4,8,7]=>[7,8,4,1,3,6,5,2]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [6,4,7,1,2,5,8,3]=>[1,4,2,6,7,5,8,3]=>[3,8,5,7,6,2,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [6,4,8,1,2,5,7,3]=>[1,4,6,2,8,5,7,3]=>[3,7,5,8,2,6,4,1]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [5,7,3,1,6,2,4,8]=>[5,3,1,7,2,6,4,8]=>[8,4,6,2,7,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [5,8,3,4,1,2,7,6]=>[3,1,5,4,8,7,2,6]=>[6,2,7,8,4,5,1,3]=>[[1,3,4],[2,5,6],[7,8]]=>15 [4,7,8,3,6,5,1,2]=>[7,4,8,6,3,1,5,2]=>[2,5,1,3,6,8,4,7]=>[[1,2,5,6],[3,4,7,8]]=>20 [5,2,4,8,3,7,1,6]=>[8,5,2,4,7,3,1,6]=>[6,1,3,7,4,2,5,8]=>[[1,3,4,7,8],[2,5],[6]]=>14 [3,5,8,4,7,1,2,6]=>[5,8,7,3,1,4,2,6]=>[6,2,4,1,3,7,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>15 [4,6,1,5,7,8,2,3]=>[6,1,4,5,7,2,8,3]=>[3,8,2,7,5,4,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [4,6,7,8,3,2,5,1]=>[6,7,8,4,3,2,5,1]=>[1,5,2,3,4,8,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>19 [4,2,1,7,6,5,3,8]=>[7,2,6,1,4,5,3,8]=>[8,3,5,4,1,6,2,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [3,7,5,1,4,6,2,8]=>[3,7,1,5,4,6,2,8]=>[8,2,6,4,5,1,7,3]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [8,7,5,6,2,4,3,1]=>[2,5,8,7,6,4,3,1]=>[1,3,4,6,7,8,5,2]=>[[1,2,3,4,5,6],[7],[8]]=>25 [6,8,7,4,1,5,2,3]=>[8,1,6,4,2,7,5,3]=>[3,5,7,2,4,6,1,8]=>[[1,2,3,8],[4,5,6],[7]]=>21 [8,7,4,1,3,6,2,5]=>[4,8,1,3,2,7,6,5]=>[5,6,7,2,3,1,8,4]=>[[1,2,3,7],[4,5,8],[6]]=>19 [6,1,2,4,7,8,3,5]=>[4,6,7,1,2,3,8,5]=>[5,8,3,2,1,7,6,4]=>[[1,2],[3,6],[4,7],[5,8]]=>10 [2,4,6,5,7,1,8,3]=>[6,4,5,7,2,8,1,3]=>[3,1,8,2,7,5,4,6]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [2,6,7,4,5,3,8,1]=>[6,4,7,5,2,3,8,1]=>[1,8,3,2,5,7,4,6]=>[[1,2,5,6],[3,7,8],[4]]=>15 [2,6,4,7,5,8,3,1]=>[4,6,7,5,8,2,3,1]=>[1,3,2,8,5,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [6,7,4,2,5,3,8,1]=>[2,6,4,7,5,3,8,1]=>[1,8,3,5,7,4,6,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [6,2,4,7,8,5,3,1]=>[2,6,7,8,4,5,3,1]=>[1,3,5,4,8,7,6,2]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [1,5,3,6,4,8,2,7]=>[3,5,6,8,4,1,2,7]=>[7,2,1,4,8,6,5,3]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [3,4,1,8,7,5,6,2]=>[8,7,3,1,4,5,6,2]=>[2,6,5,4,1,3,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [4,2,7,8,6,5,1,3]=>[7,8,6,2,4,1,5,3]=>[3,5,1,4,2,6,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>17 [1,2,7,8,6,4,5,3]=>[7,4,8,6,5,1,2,3]=>[3,2,1,5,6,8,4,7]=>[[1,4,5,6],[2,7,8],[3]]=>13 [4,8,1,2,6,5,3,7]=>[8,1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>12 [8,6,7,1,3,2,4,5]=>[3,1,2,6,4,8,7,5]=>[5,7,8,4,6,2,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [7,1,6,3,2,4,8,5]=>[3,1,2,7,4,6,8,5]=>[5,8,6,4,7,2,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [6,2,8,7,1,3,4,5]=>[2,1,8,6,3,4,7,5]=>[5,7,4,3,6,8,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [6,4,8,1,2,3,7,5]=>[1,4,2,6,8,3,7,5]=>[5,7,3,8,6,2,4,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [8,6,7,1,2,3,5,4]=>[1,2,3,6,8,7,5,4]=>[4,5,7,8,6,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>18 [6,7,1,2,3,8,5,4]=>[1,2,3,6,7,8,5,4]=>[4,5,8,7,6,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>13 [7,8,5,1,2,3,6,4]=>[1,2,3,7,5,8,6,4]=>[4,6,8,5,7,3,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [5,3,4,1,6,8,7,2]=>[3,1,5,8,4,6,7,2]=>[2,7,6,4,8,5,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [7,2,5,1,6,4,3,8]=>[2,5,7,6,1,4,3,8]=>[8,3,4,1,6,7,5,2]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [6,2,1,4,5,8,7,3]=>[6,2,8,1,4,5,7,3]=>[3,7,5,4,1,8,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [5,6,7,3,1,4,2,8]=>[5,1,6,3,7,4,2,8]=>[8,2,4,7,3,6,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [4,5,7,6,1,3,8,2]=>[4,5,7,1,6,3,8,2]=>[2,8,3,6,1,7,5,4]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [5,8,7,2,3,1,4,6]=>[2,3,1,8,7,5,4,6]=>[6,4,5,7,8,1,3,2]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [4,7,8,1,5,3,6,2]=>[4,1,7,8,5,3,6,2]=>[2,6,3,5,8,7,1,4]=>[[1,2,4,5],[3,6],[7,8]]=>17 [4,3,1,7,6,5,2,8]=>[7,1,4,6,3,5,2,8]=>[8,2,5,3,6,4,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [3,6,5,2,7,4,1,8]=>[6,5,3,7,2,4,1,8]=>[8,1,4,2,7,3,5,6]=>[[1,3,5,7,8],[2,6],[4]]=>13 [3,7,1,6,5,8,2,4]=>[7,3,6,5,1,8,2,4]=>[4,2,8,1,5,6,3,7]=>[[1,3,6,8],[2,5],[4,7]]=>14 [7,4,3,6,8,2,1,5]=>[4,7,3,6,2,1,8,5]=>[5,8,1,2,6,3,7,4]=>[[1,2,5,7],[3,4,8],[6]]=>18 [3,8,5,4,7,6,1,2]=>[3,8,5,7,4,1,6,2]=>[2,6,1,4,7,5,8,3]=>[[1,2,5,7],[3,4,6],[8]]=>18 [4,6,5,1,3,8,7,2]=>[4,6,1,5,8,3,7,2]=>[2,7,3,8,5,1,6,4]=>[[1,2,4,7],[3,5],[6,8]]=>14 [5,4,6,2,1,8,7,3]=>[5,4,2,8,1,6,7,3]=>[3,7,6,1,8,2,4,5]=>[[1,2,5,8],[3,6,7],[4]]=>14 [3,2,8,5,1,4,6,7]=>[3,8,2,1,5,4,6,7]=>[7,6,4,5,1,2,8,3]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [3,5,4,1,2,8,6,7]=>[5,3,4,1,8,2,6,7]=>[7,6,2,8,1,4,3,5]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [5,3,8,1,4,2,6,7]=>[1,3,8,5,4,2,6,7]=>[7,6,2,4,5,8,3,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>12 [1,4,7,5,8,6,2,3]=>[4,7,8,5,1,6,2,3]=>[3,2,6,1,5,8,7,4]=>[[1,3,6],[2,5,7],[4,8]]=>13 [8,5,7,6,3,4,1,2]=>[8,5,3,1,7,6,4,2]=>[2,4,6,7,1,3,5,8]=>[[1,2,3,4,8],[5,6,7]]=>24 [7,5,2,6,1,4,8,3]=>[2,1,7,5,6,4,8,3]=>[3,8,4,6,5,7,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [7,2,8,5,3,4,1,6]=>[2,7,5,3,4,1,8,6]=>[6,8,1,4,3,5,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [6,4,5,3,1,7,8,2]=>[4,1,6,5,3,7,8,2]=>[2,8,7,3,5,6,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [7,3,5,6,4,1,8,2]=>[3,7,5,1,6,4,8,2]=>[2,8,4,6,1,5,7,3]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [3,1,8,5,6,7,4,2]=>[5,6,8,7,1,3,4,2]=>[2,4,3,1,7,8,6,5]=>[[1,2,5,6],[3,7],[4,8]]=>14 [3,6,5,7,8,4,1,2]=>[6,5,7,8,3,1,4,2]=>[2,4,1,3,8,7,5,6]=>[[1,2,5,8],[3,4,6],[7]]=>17 [6,1,2,5,7,8,3,4]=>[6,5,7,1,2,3,8,4]=>[4,8,3,2,1,7,5,6]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [6,4,3,1,8,5,7,2]=>[1,4,6,3,8,5,7,2]=>[2,7,5,8,3,6,4,1]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [2,4,3,5,8,1,7,6]=>[8,4,2,3,5,7,1,6]=>[6,1,7,5,3,2,4,8]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [3,2,7,6,1,5,8,4]=>[7,6,3,2,5,8,1,4]=>[4,1,8,5,2,3,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>12 [1,2,7,6,4,3,8,5]=>[7,1,6,4,8,2,3,5]=>[5,3,2,8,4,6,1,7]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [2,4,7,6,8,1,5,3]=>[7,6,8,4,2,5,1,3]=>[3,1,5,2,4,8,6,7]=>[[1,3,5,6,8],[2,4,7]]=>14 [2,1,7,6,4,5,3,8]=>[2,7,6,4,5,1,3,8]=>[8,3,1,5,4,6,7,2]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [2,5,6,3,4,1,8,7]=>[5,2,6,3,4,8,1,7]=>[7,1,8,4,3,6,2,5]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [4,6,2,1,5,8,3,7]=>[4,2,6,8,1,5,3,7]=>[7,3,5,1,8,6,2,4]=>[[1,3,5],[2,6,8],[4,7]]=>11 [4,6,7,2,3,8,5,1]=>[6,2,7,4,8,3,5,1]=>[1,5,3,8,4,7,2,6]=>[[1,2,4,6],[3,5],[7,8]]=>16 [2,3,5,8,7,4,6,1]=>[8,7,5,2,3,4,6,1]=>[1,6,4,3,2,5,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>13 [5,6,4,1,8,3,7,2]=>[1,5,6,8,4,3,7,2]=>[2,7,3,4,8,6,5,1]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [2,3,5,8,1,7,4,6]=>[5,8,7,2,3,1,4,6]=>[6,4,1,3,2,7,8,5]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [5,4,2,7,8,3,1,6]=>[5,4,7,2,8,3,1,6]=>[6,1,3,8,2,7,4,5]=>[[1,3,4,8],[2,6],[5,7]]=>15 [2,3,5,8,1,6,4,7]=>[8,2,5,3,6,1,4,7]=>[7,4,1,6,3,5,2,8]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [1,5,8,7,3,6,4,2]=>[5,8,7,3,6,4,1,2]=>[2,1,4,6,3,7,8,5]=>[[1,3,4,6,7],[2,5,8]]=>16 [8,6,1,5,7,4,2,3]=>[8,6,1,5,2,7,4,3]=>[3,4,7,2,5,1,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>20 [1,6,4,5,8,7,2,3]=>[4,6,8,5,1,7,2,3]=>[3,2,7,1,5,8,6,4]=>[[1,3,6],[2,5,7],[4,8]]=>13 [1,7,4,5,8,3,6,2]=>[4,5,7,3,8,6,1,2]=>[2,1,6,8,3,7,5,4]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [8,6,1,5,4,2,7,3]=>[1,6,5,2,4,8,7,3]=>[3,7,8,4,2,5,6,1]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [7,3,6,1,8,5,2,4]=>[3,7,6,1,8,2,5,4]=>[4,5,2,8,1,6,7,3]=>[[1,2,4,7],[3,6],[5,8]]=>17 [2,3,6,8,7,4,1,5]=>[8,6,2,7,3,4,1,5]=>[5,1,4,3,7,2,6,8]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [2,5,8,1,3,6,7,4]=>[5,8,2,1,6,7,3,4]=>[4,3,7,6,1,2,8,5]=>[[1,3,7],[2,4,8],[5,6]]=>11 [4,8,2,6,1,5,7,3]=>[4,2,8,6,1,5,7,3]=>[3,7,5,1,6,8,2,4]=>[[1,2,5,6],[3,7,8],[4]]=>15 [6,3,2,7,4,1,5,8]=>[3,6,2,4,1,7,5,8]=>[8,5,7,1,4,2,6,3]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [2,5,7,8,3,4,1,6]=>[7,2,8,5,3,4,1,6]=>[6,1,4,3,5,8,2,7]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [2,3,7,4,1,5,8,6]=>[2,3,7,4,8,1,5,6]=>[6,5,1,8,4,7,3,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [2,3,7,8,1,5,4,6]=>[2,7,3,8,5,1,4,6]=>[6,4,1,5,8,3,7,2]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [2,5,3,1,4,6,8,7]=>[2,5,3,8,1,4,6,7]=>[7,6,4,1,8,3,5,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [5,2,6,7,8,3,1,4]=>[5,6,7,2,3,1,8,4]=>[4,8,1,3,2,7,6,5]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [5,6,2,7,8,3,1,4]=>[2,5,6,7,3,1,8,4]=>[4,8,1,3,7,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [6,2,7,8,5,3,4,1]=>[6,7,2,8,3,5,4,1]=>[1,4,5,3,8,2,7,6]=>[[1,2,3,5],[4,7],[6,8]]=>19 [4,2,8,6,3,5,1,7]=>[4,2,8,6,3,5,1,7]=>[7,1,5,3,6,8,2,4]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [7,8,4,1,2,5,6,3]=>[1,2,4,7,5,8,6,3]=>[3,6,8,5,7,4,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>17 [6,7,3,8,1,4,5,2]=>[3,1,6,7,4,8,5,2]=>[2,5,8,4,7,6,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [6,7,8,4,1,2,5,3]=>[1,6,2,7,4,8,5,3]=>[3,5,8,4,7,2,6,1]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [2,5,3,1,6,8,4,7]=>[2,5,8,3,6,1,4,7]=>[7,4,1,6,3,8,5,2]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [5,6,7,2,8,1,4,3]=>[5,2,6,1,7,8,4,3]=>[3,4,8,7,1,6,2,5]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [2,5,6,7,1,8,4,3]=>[5,6,2,7,8,4,1,3]=>[3,1,4,8,7,2,6,5]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [8,5,3,6,4,2,1,7]=>[3,5,6,4,2,1,8,7]=>[7,8,1,2,4,6,5,3]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [2,3,7,4,8,5,6,1]=>[7,2,3,8,4,5,6,1]=>[1,6,5,4,8,3,2,7]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [2,3,7,8,5,4,6,1]=>[2,7,8,5,3,4,6,1]=>[1,6,4,3,5,8,7,2]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [7,3,8,5,4,2,6,1]=>[7,5,3,4,2,8,6,1]=>[1,6,8,2,4,3,5,7]=>[[1,2,3,7,8],[4,5],[6]]=>20 [6,4,7,8,1,2,5,3]=>[4,1,6,2,7,8,5,3]=>[3,5,8,7,2,6,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [5,1,4,8,7,3,6,2]=>[8,5,7,4,1,3,6,2]=>[2,6,3,1,4,7,5,8]=>[[1,2,5,6,8],[3,7],[4]]=>15 [4,3,2,7,6,1,5,8]=>[4,7,3,6,2,1,5,8]=>[8,5,1,2,6,3,7,4]=>[[1,4,5,7],[2,6,8],[3]]=>11 [1,3,7,6,2,4,8,5]=>[7,1,6,3,8,2,4,5]=>[5,4,2,8,3,6,1,7]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [1,3,8,2,7,4,6,5]=>[1,8,7,3,6,2,4,5]=>[5,4,2,6,3,7,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [8,2,7,1,6,4,3,5]=>[2,8,7,1,4,3,6,5]=>[5,6,3,4,1,7,8,2]=>[[1,2,6,7],[3,4],[5,8]]=>17 [7,5,4,1,6,3,8,2]=>[5,1,4,7,6,3,8,2]=>[2,8,3,6,7,4,1,5]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [1,6,5,3,2,4,8,7]=>[6,1,5,3,8,2,4,7]=>[7,4,2,8,3,5,1,6]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [4,3,7,2,5,1,6,8]=>[7,4,3,2,5,1,6,8]=>[8,6,1,5,2,3,4,7]=>[[1,4,6,7,8],[2],[3],[5]]=>11 [5,1,4,3,2,6,8,7]=>[5,4,1,3,8,2,6,7]=>[7,6,2,8,3,1,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [7,2,1,3,5,4,6,8]=>[2,5,1,3,4,7,6,8]=>[8,6,7,4,3,1,5,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>8 [1,6,8,7,5,2,3,4]=>[1,8,6,2,7,5,3,4]=>[4,3,5,7,2,6,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [6,5,4,8,2,3,7,1]=>[6,5,2,8,4,3,7,1]=>[1,7,3,4,8,2,5,6]=>[[1,2,4,5,8],[3,7],[6]]=>19 [1,6,3,7,8,4,5,2]=>[6,7,3,4,8,5,1,2]=>[2,1,5,8,4,3,7,6]=>[[1,3,4],[2,5,7],[6,8]]=>13 [4,3,6,1,8,5,2,7]=>[4,6,3,8,1,5,2,7]=>[7,2,5,1,8,3,6,4]=>[[1,3,5],[2,6,7],[4,8]]=>12 [2,7,3,5,6,8,4,1]=>[2,7,5,6,8,3,4,1]=>[1,4,3,8,6,5,7,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [1,4,8,7,3,6,2,5]=>[4,8,7,6,3,1,2,5]=>[5,2,1,3,6,7,8,4]=>[[1,4,5,6,7],[2,8],[3]]=>14 [1,4,8,6,2,5,3,7]=>[4,8,1,6,5,2,3,7]=>[7,3,2,5,6,1,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [4,5,7,6,3,1,8,2]=>[7,4,5,1,6,3,8,2]=>[2,8,3,6,1,5,4,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [4,6,7,5,1,3,8,2]=>[6,4,7,1,5,3,8,2]=>[2,8,3,5,1,7,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>16 [3,6,5,1,4,7,8,2]=>[3,6,5,1,4,7,8,2]=>[2,8,7,4,1,5,6,3]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [4,6,7,3,1,5,8,2]=>[6,1,7,4,3,5,8,2]=>[2,8,5,3,4,7,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [2,5,8,1,6,7,4,3]=>[8,5,2,6,7,4,1,3]=>[3,1,4,7,6,2,5,8]=>[[1,3,4,8],[2,5,7],[6]]=>14 [8,3,2,5,4,6,1,7]=>[3,5,2,4,6,1,8,7]=>[7,8,1,6,4,2,5,3]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [6,2,4,7,5,3,1,8]=>[2,6,7,4,5,3,1,8]=>[8,1,3,5,4,7,6,2]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [6,2,5,1,8,7,3,4]=>[2,6,8,5,1,3,7,4]=>[4,7,3,1,5,8,6,2]=>[[1,2,6],[3,5,7],[4,8]]=>14 [6,2,1,8,4,5,7,3]=>[8,6,2,1,4,5,7,3]=>[3,7,5,4,1,2,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [7,1,4,5,3,8,2,6]=>[4,5,3,7,1,2,8,6]=>[6,8,2,1,7,3,5,4]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [6,5,4,2,3,8,1,7]=>[2,6,5,4,8,3,1,7]=>[7,1,3,8,4,5,6,2]=>[[1,3,4,6,7],[2,5],[8]]=>16 [4,5,3,8,6,2,1,7]=>[8,4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4,8]=>[[1,3,4,6,8],[2],[5],[7]]=>15 [2,6,5,3,1,8,4,7]=>[2,6,5,8,3,1,4,7]=>[7,4,1,3,8,5,6,2]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [8,5,1,2,4,7,3,6]=>[5,8,1,2,4,3,7,6]=>[6,7,3,4,2,1,8,5]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [1,6,3,8,4,7,2,5]=>[6,8,1,7,3,4,2,5]=>[5,2,4,3,7,1,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [8,1,5,2,4,7,3,6]=>[5,8,1,4,2,3,7,6]=>[6,7,3,2,4,1,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [5,1,3,8,6,2,4,7]=>[5,8,3,1,2,6,4,7]=>[7,4,6,2,1,3,8,5]=>[[1,3,7],[2,6,8],[4],[5]]=>11 [7,2,4,8,5,1,3,6]=>[7,4,5,2,1,3,8,6]=>[6,8,3,1,2,5,4,7]=>[[1,2,6,8],[3,5],[4,7]]=>15 [6,1,3,8,4,7,2,5]=>[6,8,3,4,1,2,7,5]=>[5,7,2,1,4,3,8,6]=>[[1,2,7],[3,5,8],[4,6]]=>13 [8,2,3,5,1,7,4,6]=>[5,8,2,3,1,4,7,6]=>[6,7,4,1,3,2,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [2,3,1,5,8,7,4,6]=>[8,7,2,3,5,1,4,6]=>[6,4,1,5,3,2,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [2,8,3,5,4,7,1,6]=>[2,8,3,5,7,4,1,6]=>[6,1,4,7,5,3,8,2]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [8,3,6,1,5,2,7,4]=>[3,1,8,2,6,5,7,4]=>[4,7,5,6,2,8,1,3]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [1,5,4,6,7,2,8,3]=>[5,4,6,1,7,8,2,3]=>[3,2,8,7,1,6,4,5]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [3,8,2,4,7,5,6,1]=>[8,3,2,4,7,5,6,1]=>[1,6,5,7,4,2,3,8]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [3,2,7,1,8,6,5,4]=>[3,7,8,6,2,5,1,4]=>[4,1,5,2,6,8,7,3]=>[[1,3,5,6],[2,4,7],[8]]=>13 [2,8,1,4,6,5,7,3]=>[6,2,4,5,8,7,1,3]=>[3,1,7,8,5,4,2,6]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [6,1,2,7,4,5,3,8]=>[6,1,7,2,4,5,3,8]=>[8,3,5,4,2,7,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [1,3,8,5,6,7,2,4]=>[5,6,8,7,3,1,2,4]=>[4,2,1,3,7,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>12 [6,2,4,1,5,7,8,3]=>[2,1,6,4,5,7,8,3]=>[3,8,7,5,4,6,1,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [8,1,4,7,5,6,3,2]=>[4,8,5,7,6,1,3,2]=>[2,3,1,6,7,5,8,4]=>[[1,2,4,5,7],[3,6],[8]]=>18 [1,4,2,5,7,8,6,3]=>[7,8,1,4,5,6,2,3]=>[3,2,6,5,4,1,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [4,3,2,7,6,1,8,5]=>[4,7,3,6,2,8,1,5]=>[5,1,8,2,6,3,7,4]=>[[1,3,5,7],[2,4,8],[6]]=>12 [7,2,6,5,3,1,8,4]=>[2,7,6,3,1,5,8,4]=>[4,8,5,1,3,6,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [2,8,7,1,5,4,6,3]=>[5,2,4,8,7,6,1,3]=>[3,1,6,7,8,4,2,5]=>[[1,3,4,5],[2,6,8],[7]]=>16 [7,2,8,1,3,5,6,4]=>[2,7,1,3,8,5,6,4]=>[4,6,5,8,3,1,7,2]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [6,1,7,3,5,2,4,8]=>[6,7,1,3,2,5,4,8]=>[8,4,5,2,3,1,7,6]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [2,7,6,4,3,5,8,1]=>[7,2,6,4,3,5,8,1]=>[1,8,5,3,4,6,2,7]=>[[1,2,5,6,8],[3],[4],[7]]=>15 [6,7,2,3,8,1,4,5]=>[2,3,6,1,7,4,8,5]=>[5,8,4,7,1,6,3,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>15 [8,2,5,3,7,1,4,6]=>[5,2,8,3,1,4,7,6]=>[6,7,4,1,3,8,2,5]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [2,8,5,6,4,7,1,3]=>[5,6,4,8,7,2,1,3]=>[3,1,2,7,8,4,6,5]=>[[1,3,4,5],[2,6,7],[8]]=>17 [3,1,5,8,7,4,6,2]=>[8,7,5,1,3,4,6,2]=>[2,6,4,3,1,5,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>13 [5,2,8,1,7,4,6,3]=>[8,5,7,2,1,4,6,3]=>[3,6,4,1,2,7,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>15 [1,5,3,8,6,4,7,2]=>[5,8,3,6,4,7,1,2]=>[2,1,7,4,6,3,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>12 [4,7,5,6,2,1,8,3]=>[4,7,5,2,1,6,8,3]=>[3,8,6,1,2,5,7,4]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [2,5,4,7,3,1,8,6]=>[5,7,4,2,3,8,1,6]=>[6,1,8,3,2,4,7,5]=>[[1,3,6,7],[2,4],[5,8]]=>11 [8,5,4,7,3,1,2,6]=>[5,1,8,4,3,2,7,6]=>[6,7,2,3,4,8,1,5]=>[[1,2,5,6],[3,4,8],[7]]=>20 [7,3,2,1,5,4,8,6]=>[3,2,5,1,4,7,8,6]=>[6,8,7,4,1,5,2,3]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [2,5,6,4,8,1,3,7]=>[5,6,8,4,2,1,3,7]=>[7,3,1,2,4,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>12 [5,1,6,3,7,2,4,8]=>[5,3,6,1,2,7,4,8]=>[8,4,7,2,1,6,3,5]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [5,4,1,6,2,3,7,8]=>[5,1,4,2,6,3,7,8]=>[8,7,3,6,2,4,1,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [7,1,3,2,6,4,5,8]=>[7,3,1,2,4,6,5,8]=>[8,5,6,4,2,1,3,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [2,5,6,3,4,1,7,8]=>[5,2,6,3,4,1,7,8]=>[8,7,1,4,3,6,2,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [5,4,6,2,1,7,3,8]=>[5,4,2,1,6,7,3,8]=>[8,3,7,6,1,2,4,5]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [1,3,6,5,2,4,7,8]=>[6,5,3,1,2,4,7,8]=>[8,7,4,2,1,3,5,6]=>[[1,6,7,8],[2],[3],[4],[5]]=>6 [5,1,7,3,4,2,6,8]=>[5,1,3,7,4,2,6,8]=>[8,6,2,4,7,3,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [2,5,6,8,3,1,4,7]=>[8,5,2,6,3,1,4,7]=>[7,4,1,3,6,2,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [8,5,6,2,7,4,1,3]=>[2,5,6,1,8,7,4,3]=>[3,4,7,8,1,6,5,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [6,2,3,5,7,8,1,4]=>[6,2,3,5,7,1,8,4]=>[4,8,1,7,5,3,2,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [5,8,1,4,2,6,7,3]=>[1,2,8,5,4,6,7,3]=>[3,7,6,4,5,8,2,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>14 [2,3,8,4,6,5,1,7]=>[8,2,3,6,4,5,1,7]=>[7,1,5,4,6,3,2,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>11 [8,2,7,4,1,6,3,5]=>[2,8,4,1,7,3,6,5]=>[5,6,3,7,1,4,8,2]=>[[1,2,4,7],[3,6],[5,8]]=>17 [5,7,3,4,8,6,2,1]=>[3,7,5,8,4,6,2,1]=>[1,2,6,4,8,5,7,3]=>[[1,2,3,5,7],[4,6],[8]]=>19 [7,1,4,3,8,6,2,5]=>[4,7,8,3,1,2,6,5]=>[5,6,2,1,3,8,7,4]=>[[1,2,6],[3,5,7],[4,8]]=>14 [5,4,1,2,7,6,3,8]=>[1,2,5,7,4,6,3,8]=>[8,3,6,4,7,5,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [5,4,1,3,2,7,6,8]=>[5,1,4,3,7,2,6,8]=>[8,6,2,7,3,4,1,5]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [8,2,5,4,3,1,7,6]=>[5,4,2,3,8,1,7,6]=>[6,7,1,8,3,2,4,5]=>[[1,2,4,8],[3,5,7],[6]]=>15 [5,3,1,4,6,8,7,2]=>[1,3,5,8,4,6,7,2]=>[2,7,6,4,8,5,3,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [8,2,4,5,6,1,7,3]=>[2,4,5,1,8,6,7,3]=>[3,7,6,8,1,5,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [8,2,6,5,7,3,1,4]=>[8,6,2,5,3,1,7,4]=>[4,7,1,3,5,2,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>19 [2,3,7,1,6,8,4,5]=>[7,2,6,8,3,1,4,5]=>[5,4,1,3,8,6,2,7]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [8,2,4,5,3,7,1,6]=>[4,5,8,2,3,1,7,6]=>[6,7,1,3,2,8,5,4]=>[[1,2,6],[3,4,7],[5,8]]=>15 [8,2,4,3,5,6,1,7]=>[4,2,3,5,6,1,8,7]=>[7,8,1,6,5,3,2,4]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [2,6,3,8,7,1,4,5]=>[8,6,2,3,1,7,4,5]=>[5,4,7,1,3,2,6,8]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [2,5,6,3,8,7,1,4]=>[5,8,2,6,7,3,1,4]=>[4,1,3,7,6,2,8,5]=>[[1,3,4,7],[2,5],[6,8]]=>13 [6,1,2,4,3,8,7,5]=>[4,8,1,2,3,6,7,5]=>[5,7,6,3,2,1,8,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [8,6,2,3,5,4,1,7]=>[6,2,3,5,4,1,8,7]=>[7,8,1,4,5,3,2,6]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [6,8,2,4,5,1,7,3]=>[2,6,4,1,8,5,7,3]=>[3,7,5,8,1,4,6,2]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [4,3,8,1,7,5,6,2]=>[8,4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4,8]=>[[1,2,6,8],[3,5,7],[4]]=>15 [8,4,3,7,1,5,6,2]=>[4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>[[1,2,3,7],[4,6,8],[5]]=>18 [8,3,7,1,4,5,6,2]=>[3,1,8,4,5,7,6,2]=>[2,6,7,5,4,8,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [8,7,3,6,1,2,5,4]=>[1,3,8,7,2,6,5,4]=>[4,5,6,2,7,8,3,1]=>[[1,2,3,5,6],[4,7],[8]]=>20 [8,7,2,3,6,1,5,4]=>[2,8,3,7,1,6,5,4]=>[4,5,6,1,7,3,8,2]=>[[1,2,3,5,7],[4,6],[8]]=>19 [5,1,8,4,2,3,7,6]=>[1,5,2,8,4,7,3,6]=>[6,3,7,4,8,2,5,1]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [8,2,4,7,3,1,6,5]=>[8,2,4,3,7,1,6,5]=>[5,6,1,7,3,4,2,8]=>[[1,2,4,8],[3,5,6],[7]]=>16 [8,2,7,6,3,1,4,5]=>[2,3,1,8,7,4,6,5]=>[5,6,4,7,8,1,3,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [6,8,1,4,7,3,2,5]=>[6,8,4,1,3,2,7,5]=>[5,7,2,3,1,4,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>17 [8,5,7,2,6,3,1,4]=>[5,2,8,3,1,7,6,4]=>[4,6,7,1,3,8,2,5]=>[[1,2,3,6],[4,5,8],[7]]=>21 [8,4,1,7,5,6,2,3]=>[4,8,5,1,2,7,6,3]=>[3,6,7,2,1,5,8,4]=>[[1,2,3,7],[4,6],[5,8]]=>18 [8,2,7,6,4,5,1,3]=>[2,8,7,6,4,1,5,3]=>[3,5,1,4,6,7,8,2]=>[[1,2,5,6,7],[3,4],[8]]=>21 [8,4,7,2,3,6,5,1]=>[2,4,8,7,3,6,5,1]=>[1,5,6,3,7,8,4,2]=>[[1,2,3,5,6],[4,7],[8]]=>20 [8,2,4,7,3,6,5,1]=>[4,8,7,2,3,6,5,1]=>[1,5,6,3,2,7,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>18 [8,1,2,7,6,4,5,3]=>[1,8,7,6,2,4,5,3]=>[3,5,4,2,6,7,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>16 [8,1,4,7,3,6,5,2]=>[1,8,7,4,6,3,5,2]=>[2,5,3,6,4,7,8,1]=>[[1,2,4,6,7],[3,5],[8]]=>17 [4,2,1,8,7,3,6,5]=>[2,8,4,7,1,6,3,5]=>[5,3,6,1,7,4,8,2]=>[[1,3,5,7],[2,6],[4,8]]=>12 [1,4,8,5,2,7,6,3]=>[4,8,1,7,5,6,2,3]=>[3,2,6,5,7,1,8,4]=>[[1,3,5,7],[2,4],[6,8]]=>12 [1,8,2,4,7,5,6,3]=>[1,8,4,7,5,6,2,3]=>[3,2,6,5,7,4,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [2,3,8,4,7,1,6,5]=>[2,8,3,7,4,6,1,5]=>[5,1,6,4,7,3,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [1,8,2,3,5,6,4,7]=>[1,8,2,3,5,6,4,7]=>[7,4,6,5,3,2,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>8 [1,6,8,4,2,3,5,7]=>[1,8,2,6,4,3,5,7]=>[7,5,3,4,6,2,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>11 [1,6,2,3,5,7,4,8]=>[6,1,2,5,7,3,4,8]=>[8,4,3,7,5,2,1,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [1,5,2,3,7,6,4,8]=>[7,1,2,5,6,3,4,8]=>[8,4,3,6,5,2,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [1,7,6,2,3,8,4,5]=>[7,1,2,6,3,8,4,5]=>[5,4,8,3,6,2,1,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [1,8,2,3,7,6,4,5]=>[1,8,7,2,3,6,4,5]=>[5,4,6,3,2,7,8,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>11 [1,8,2,3,5,4,7,6]=>[1,8,2,3,5,7,4,6]=>[6,4,7,5,3,2,8,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>8 [7,3,8,6,2,1,5,4]=>[7,3,2,8,6,1,5,4]=>[4,5,1,6,8,2,3,7]=>[[1,2,4,5],[3,6,7,8]]=>19 [8,1,2,4,7,6,3,5]=>[8,7,4,1,2,3,6,5]=>[5,6,3,2,1,4,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [1,3,6,2,8,5,4,7]=>[6,3,8,5,1,2,4,7]=>[7,4,2,1,5,8,3,6]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [1,3,5,6,4,8,2,7]=>[5,6,8,3,4,1,2,7]=>[7,2,1,4,3,8,6,5]=>[[1,4,6],[2,5,7],[3,8]]=>8 [4,3,6,1,8,2,5,7]=>[4,6,1,8,3,2,5,7]=>[7,5,2,3,8,1,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [1,7,3,2,5,6,8,4]=>[1,3,7,5,6,8,2,4]=>[4,2,8,6,5,7,3,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [5,8,3,1,4,6,2,7]=>[1,3,5,4,8,6,2,7]=>[7,2,6,8,4,5,3,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [5,4,3,7,2,1,8,6]=>[5,4,7,3,2,8,1,6]=>[6,1,8,2,3,7,4,5]=>[[1,3,5,6,8],[2,4],[7]]=>14 [2,1,6,7,3,5,8,4]=>[6,2,7,5,8,1,3,4]=>[4,3,1,8,5,7,2,6]=>[[1,4,6],[2,5,8],[3,7]]=>9 [1,6,2,8,7,4,5,3]=>[8,6,1,7,4,5,2,3]=>[3,2,5,4,7,1,6,8]=>[[1,3,5,8],[2,4,7],[6]]=>13 [4,3,1,6,7,2,8,5]=>[4,3,6,1,7,8,2,5]=>[5,2,8,7,1,6,3,4]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [5,7,4,1,3,8,2,6]=>[7,1,5,4,8,3,2,6]=>[6,2,3,8,4,5,1,7]=>[[1,3,4,6,8],[2,5],[7]]=>15 [8,3,6,7,1,4,2,5]=>[3,8,1,6,4,2,7,5]=>[5,7,2,4,6,1,8,3]=>[[1,2,5,7],[3,4],[6,8]]=>18 [2,5,3,8,6,7,1,4]=>[2,8,5,6,7,3,1,4]=>[4,1,3,7,6,5,8,2]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [7,5,2,4,3,6,1,8]=>[5,2,4,3,7,6,1,8]=>[8,1,6,7,3,4,2,5]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [6,4,3,2,8,5,1,7]=>[4,3,6,2,8,5,1,7]=>[7,1,5,8,2,6,3,4]=>[[1,3,4,8],[2,6],[5,7]]=>15 [1,5,4,7,8,3,2,6]=>[5,7,8,4,3,1,2,6]=>[6,2,1,3,4,8,7,5]=>[[1,4,5,6],[2,7],[3,8]]=>12 [4,6,1,8,2,7,5,3]=>[4,8,1,6,7,2,5,3]=>[3,5,2,7,6,1,8,4]=>[[1,2,4,7],[3,5],[6,8]]=>14 [6,3,2,1,5,7,8,4]=>[3,2,6,1,5,7,8,4]=>[4,8,7,5,1,6,2,3]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [3,4,8,1,5,6,2,7]=>[3,1,4,8,5,6,2,7]=>[7,2,6,5,8,4,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [5,10,9,8,4,3,2,1,7,6]=>[5,4,3,2,10,9,8,7,1,6]=>[6,1,7,8,9,10,2,3,4,5]=>[[1,3,4,5,6],[2,7,8,9,10]]=>32 [6,3,5,2,8,4,7,1]=>[6,3,5,2,8,4,7,1]=>[1,7,4,8,2,5,3,6]=>[[1,2,4,8],[3,6],[5,7]]=>16 [5,4,8,6,3,7,2,1]=>[8,5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5,8]=>[[1,2,3,5,7,8],[4],[6]]=>20 [6,4,5,8,1,3,7,2]=>[4,6,5,1,8,3,7,2]=>[2,7,3,8,1,5,6,4]=>[[1,2,4,7],[3,6],[5,8]]=>17 [2,6,3,1,5,8,4,7]=>[2,3,6,8,5,1,4,7]=>[7,4,1,5,8,6,3,2]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [1,2,5,4,8,6,3,7]=>[8,5,4,6,1,2,3,7]=>[7,3,2,1,6,4,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [5,3,4,1,2,6,8,7]=>[3,1,5,4,8,2,6,7]=>[7,6,2,8,4,5,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [3,6,4,5,1,2,8,7]=>[3,6,4,1,5,8,2,7]=>[7,2,8,5,1,4,6,3]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [3,5,4,8,1,6,7,2]=>[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [2,4,3,1,5,8,6,7]=>[4,8,2,3,1,5,6,7]=>[7,6,5,1,3,2,8,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>6 [5,6,1,7,4,3,8,2]=>[5,6,7,1,4,3,8,2]=>[2,8,3,4,1,7,6,5]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [2,8,3,1,5,7,6,4]=>[8,2,3,5,7,6,1,4]=>[4,1,6,7,5,3,2,8]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [3,7,2,1,5,6,8,4]=>[3,2,5,7,6,8,1,4]=>[4,1,8,6,7,5,2,3]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [7,4,2,1,5,6,8,3]=>[2,1,4,5,7,6,8,3]=>[3,8,6,7,5,4,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [3,1,5,6,4,2,7,8]=>[5,6,1,3,4,2,7,8]=>[8,7,2,4,3,1,6,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [6,7,1,5,2,4,3,8]=>[1,6,7,2,5,4,3,8]=>[8,3,4,5,2,7,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [4,8,2,1,6,5,7,3]=>[8,4,2,6,1,5,7,3]=>[3,7,5,1,6,2,4,8]=>[[1,2,5,8],[3,6,7],[4]]=>14 [8,3,4,1,6,5,7,2]=>[3,6,1,4,5,8,7,2]=>[2,7,8,5,4,1,6,3]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [1,4,3,7,8,2,6,5]=>[7,8,4,3,6,1,2,5]=>[5,2,1,6,3,4,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>10 [4,1,3,7,8,2,5,6]=>[4,1,7,8,3,2,5,6]=>[6,5,2,3,8,7,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [1,3,7,8,2,6,4,5]=>[7,8,1,6,3,2,4,5]=>[5,4,2,3,6,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [1,5,6,2,8,3,7,4]=>[1,5,6,8,2,7,3,4]=>[4,3,7,2,8,6,5,1]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [5,2,1,3,7,8,6,4]=>[2,7,8,1,3,5,6,4]=>[4,6,5,3,1,8,7,2]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [5,2,1,7,4,6,8,3]=>[7,2,5,1,4,6,8,3]=>[3,8,6,4,1,5,2,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [2,4,1,5,7,6,8,3]=>[4,7,2,5,6,8,1,3]=>[3,1,8,6,5,2,7,4]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [4,5,3,1,6,2,8,7]=>[4,1,5,3,6,8,2,7]=>[7,2,8,6,3,5,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [1,4,3,2,8,7,5,6]=>[8,4,7,3,1,2,5,6]=>[6,5,2,1,3,7,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [1,3,8,5,4,7,2,6]=>[3,8,5,7,4,1,2,6]=>[6,2,1,4,7,5,8,3]=>[[1,4,5,7],[2,6],[3,8]]=>11 [1,4,2,7,6,8,5,3]=>[7,6,8,1,4,5,2,3]=>[3,2,5,4,1,8,6,7]=>[[1,3,6,8],[2,4,7],[5]]=>10 [4,7,8,1,3,5,2,6]=>[7,1,4,3,8,5,2,6]=>[6,2,5,8,3,4,1,7]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [4,2,3,5,7,8,1,6]=>[2,4,7,8,3,5,1,6]=>[6,1,5,3,8,7,4,2]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [5,6,8,2,1,4,7,3]=>[5,2,6,1,8,4,7,3]=>[3,7,4,8,1,6,2,5]=>[[1,2,4],[3,6,8],[5,7]]=>16 [5,6,1,3,7,4,2,8]=>[5,1,3,6,7,4,2,8]=>[8,2,4,7,6,3,1,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [7,8,2,5,3,6,4,1]=>[2,7,3,5,8,6,4,1]=>[1,4,6,8,5,3,7,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [6,1,3,2,7,4,5,8]=>[3,6,1,2,4,7,5,8]=>[8,5,7,4,2,1,6,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>8 [7,2,6,1,3,5,4,8]=>[2,7,1,6,3,5,4,8]=>[8,4,5,3,6,1,7,2]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [7,4,5,2,6,8,3,1]=>[4,2,5,7,6,8,3,1]=>[1,3,8,6,7,5,2,4]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [3,6,1,4,7,5,2,8]=>[6,3,7,1,4,5,2,8]=>[8,2,5,4,1,7,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>10 [7,1,3,4,6,5,8,2]=>[7,1,3,6,4,5,8,2]=>[2,8,5,4,6,3,1,7]=>[[1,2,5,8],[3],[4],[6],[7]]=>12 [4,6,8,5,3,7,2,1]=>[8,6,4,5,3,7,2,1]=>[1,2,7,3,5,4,6,8]=>[[1,2,3,5,7,8],[4],[6]]=>20 [3,7,4,5,1,6,8,2]=>[3,4,1,7,5,6,8,2]=>[2,8,6,5,7,1,4,3]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [4,6,8,1,2,5,7,3]=>[6,4,1,8,2,5,7,3]=>[3,7,5,2,8,1,4,6]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [4,6,8,5,1,3,7,2]=>[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[[1,2,4,6,7],[3,8],[5]]=>17 [4,5,7,2,1,6,8,3]=>[4,5,2,7,1,6,8,3]=>[3,8,6,1,7,2,5,4]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [4,5,1,6,8,3,7,2]=>[8,1,4,5,6,3,7,2]=>[2,7,3,6,5,4,1,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>13 [8,3,5,4,6,1,2,7]=>[5,3,4,1,6,2,8,7]=>[7,8,2,6,1,4,3,5]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [1,7,4,5,2,6,8,3]=>[4,1,5,7,6,8,2,3]=>[3,2,8,6,7,5,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [8,2,6,3,4,1,5,7]=>[2,3,6,4,1,5,8,7]=>[7,8,5,1,4,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [4,6,5,8,2,1,3,7]=>[6,8,4,2,1,5,3,7]=>[7,3,5,1,2,4,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>15 [1,8,7,4,2,3,6,5]=>[1,2,8,4,7,6,3,5]=>[5,3,6,7,4,8,2,1]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [4,3,1,8,5,7,2,6]=>[4,8,3,7,1,5,2,6]=>[6,2,5,1,7,3,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>12 [3,7,2,4,5,8,1,6]=>[3,2,4,7,8,5,1,6]=>[6,1,5,8,7,4,2,3]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [3,6,7,2,4,1,8,5]=>[6,3,2,7,4,8,1,5]=>[5,1,8,4,7,2,3,6]=>[[1,3,5,8],[2,4],[6,7]]=>13 [8,4,7,2,3,5,6,1]=>[2,4,3,8,5,7,6,1]=>[1,6,7,5,8,3,4,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [5,7,1,8,4,3,6,2]=>[5,1,7,8,4,3,6,2]=>[2,6,3,4,8,7,1,5]=>[[1,2,4,5],[3,6],[7,8]]=>17 [5,4,8,7,6,2,3,1]=>[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[[1,2,3,6,8],[4,5,7]]=>21 [3,6,1,5,2,4,7,8]=>[3,1,6,5,2,4,7,8]=>[8,7,4,2,5,6,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [3,7,6,2,5,4,1,8]=>[3,7,6,5,2,4,1,8]=>[8,1,4,2,5,6,7,3]=>[[1,3,5,6,7],[2,8],[4]]=>15 [2,7,1,5,3,4,6,8]=>[7,2,1,3,5,4,6,8]=>[8,6,4,5,3,1,2,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [8,4,5,1,2,7,6,3]=>[1,4,8,2,5,7,6,3]=>[3,6,7,5,2,8,4,1]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [7,5,2,4,1,3,8,6]=>[5,2,1,4,3,7,8,6]=>[6,8,7,3,4,1,2,5]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [8,6,5,4,1,3,7,2]=>[6,1,5,4,3,8,7,2]=>[2,7,8,3,4,5,1,6]=>[[1,2,3,6,8],[4,5],[7]]=>21 [8,2,3,4,1,6,7,5]=>[8,2,3,4,1,6,7,5]=>[5,7,6,1,4,3,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [3,6,4,8,5,2,1,7]=>[6,3,8,4,5,2,1,7]=>[7,1,2,5,4,8,3,6]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [5,3,6,2,1,4,8,7]=>[3,5,2,1,6,8,4,7]=>[7,4,8,6,1,2,5,3]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [7,3,4,8,6,1,5,2]=>[7,3,4,8,1,6,5,2]=>[2,5,6,1,8,4,3,7]=>[[1,2,3,5],[4,6,8],[7]]=>18 [5,2,3,1,6,8,4,7]=>[2,3,8,1,5,6,4,7]=>[7,4,6,5,1,8,3,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [7,4,3,8,1,6,5,2]=>[4,3,7,8,1,6,5,2]=>[2,5,6,1,8,7,3,4]=>[[1,2,3,5],[4,6,8],[7]]=>18 [5,1,4,2,7,8,6,3]=>[1,5,7,8,2,4,6,3]=>[3,6,4,2,8,7,5,1]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [2,1,7,5,8,4,3,6]=>[7,8,2,5,4,1,3,6]=>[6,3,1,4,5,2,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>11 [3,6,1,2,8,5,7,4]=>[6,1,3,8,5,7,2,4]=>[4,2,7,5,8,3,1,6]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [6,3,1,2,7,5,8,4]=>[1,3,6,7,2,5,8,4]=>[4,8,5,2,7,6,3,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [2,4,7,8,6,3,1,5]=>[7,8,6,4,2,3,1,5]=>[5,1,3,2,4,6,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>15 [6,2,4,3,5,8,1,7]=>[4,2,3,6,8,5,1,7]=>[7,1,5,8,6,3,2,4]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [5,2,3,8,4,7,6,1]=>[5,8,2,3,7,4,6,1]=>[1,6,4,7,3,2,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [4,7,3,5,8,2,1,6]=>[4,3,7,8,5,2,1,6]=>[6,1,2,5,8,7,3,4]=>[[1,3,4,5],[2,6],[7,8]]=>16 [5,2,8,7,4,6,3,1]=>[8,7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>19 [2,4,7,6,3,1,8,5]=>[7,6,4,2,3,8,1,5]=>[5,1,8,3,2,4,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>12 [6,3,2,5,7,1,8,4]=>[3,6,2,5,1,7,8,4]=>[4,8,7,1,5,2,6,3]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [6,3,2,4,5,8,1,7]=>[3,2,4,6,8,5,1,7]=>[7,1,5,8,6,4,2,3]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [4,8,7,1,3,6,2,5]=>[1,8,4,7,6,3,2,5]=>[5,2,3,6,7,4,8,1]=>[[1,3,4,5,7],[2,6],[8]]=>17 [7,3,5,2,8,1,4,6]=>[5,3,7,2,1,4,8,6]=>[6,8,4,1,2,7,3,5]=>[[1,2,6,8],[3,5],[4,7]]=>15 [1,4,6,8,7,2,5,3]=>[8,6,4,7,1,5,2,3]=>[3,2,5,1,7,4,6,8]=>[[1,3,5,8],[2,6,7],[4]]=>13 [1,7,3,2,8,5,6,4]=>[7,1,3,8,5,6,2,4]=>[4,2,6,5,8,3,1,7]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [1,6,5,2,4,8,3,7]=>[6,1,5,8,4,2,3,7]=>[7,3,2,4,8,5,1,6]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [1,6,2,4,7,5,8,3]=>[1,6,7,4,5,8,2,3]=>[3,2,8,5,4,7,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [1,6,2,7,4,3,8,5]=>[1,6,7,2,4,8,3,5]=>[5,3,8,4,2,7,6,1]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [2,5,3,6,7,1,4,8]=>[2,5,6,7,3,1,4,8]=>[8,4,1,3,7,6,5,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [7,4,1,6,3,8,2,5]=>[7,4,1,3,6,2,8,5]=>[5,8,2,6,3,1,4,7]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [7,5,6,2,4,8,1,3]=>[2,5,7,6,4,1,8,3]=>[3,8,1,4,6,7,5,2]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [1,5,7,4,3,8,6,2]=>[7,5,4,8,3,6,1,2]=>[2,1,6,3,8,4,5,7]=>[[1,3,5,7,8],[2,4,6]]=>13 [3,7,8,4,2,1,5,6]=>[3,7,4,2,1,8,5,6]=>[6,5,8,1,2,4,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [6,5,2,1,4,7,3,8]=>[2,6,1,5,4,7,3,8]=>[8,3,7,4,5,1,6,2]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [5,6,2,3,7,1,4,8]=>[2,5,3,6,1,7,4,8]=>[8,4,7,1,6,3,5,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [5,6,2,3,7,4,8,1]=>[2,5,3,6,7,4,8,1]=>[1,8,4,7,6,3,5,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [1,6,2,3,7,5,4,8]=>[6,7,1,2,5,3,4,8]=>[8,4,3,5,2,1,7,6]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [7,6,2,3,1,5,8,4]=>[2,3,7,1,6,5,8,4]=>[4,8,5,6,1,7,3,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [2,7,3,1,4,5,8,6]=>[2,3,1,4,7,8,5,6]=>[6,5,8,7,4,1,3,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>8 [6,5,8,3,2,7,1,4]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[[1,2,5,7,8],[3,4,6]]=>19 [1,2,7,6,5,3,4,8]=>[1,7,6,5,2,3,4,8]=>[8,4,3,2,5,6,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>9 [1,2,7,6,4,5,3,8]=>[4,7,6,5,1,2,3,8]=>[8,3,2,1,5,6,7,4]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [1,2,8,7,6,4,5,3]=>[4,8,7,6,5,1,2,3]=>[3,2,1,5,6,7,8,4]=>[[1,4,5,6,7],[2,8],[3]]=>14 [1,2,8,7,5,3,4,6]=>[1,8,2,7,5,3,4,6]=>[6,4,3,5,7,2,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>11 [1,2,6,5,3,4,8,7]=>[1,6,5,8,2,3,4,7]=>[7,4,3,2,8,5,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [1,2,7,4,5,3,6,8]=>[1,7,4,5,2,3,6,8]=>[8,6,3,2,5,4,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [1,2,6,7,5,3,4,8]=>[6,1,7,5,2,3,4,8]=>[8,4,3,2,5,7,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [1,2,7,5,4,3,6,8]=>[7,5,1,4,2,3,6,8]=>[8,6,3,2,4,1,5,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>7 [1,2,6,8,7,4,5,3]=>[8,6,4,7,5,1,2,3]=>[3,2,1,5,7,4,6,8]=>[[1,4,5,8],[2,6,7],[3]]=>12 [1,2,8,6,7,4,5,3]=>[6,4,8,7,5,1,2,3]=>[3,2,1,5,7,8,4,6]=>[[1,4,5,6],[2,7,8],[3]]=>13 [3,4,5,6,8,2,7,1]=>[8,3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>13 [3,7,5,2,1,6,4,8]=>[5,3,2,7,6,1,4,8]=>[8,4,1,6,7,2,3,5]=>[[1,4,5,8],[2,6,7],[3]]=>12 [6,1,3,5,8,4,2,7]=>[6,8,1,5,3,4,2,7]=>[7,2,4,3,5,1,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [5,7,8,1,4,2,3,6]=>[7,1,2,8,5,4,3,6]=>[6,3,4,5,8,2,1,7]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [4,6,8,5,2,1,7,3]=>[8,6,4,2,1,5,7,3]=>[3,7,5,1,2,4,6,8]=>[[1,2,6,7,8],[3,5],[4]]=>17 [5,7,8,3,2,4,6,1]=>[7,3,2,8,5,4,6,1]=>[1,6,4,5,8,2,3,7]=>[[1,2,4,5],[3,7,8],[6]]=>19 [3,5,4,1,8,2,7,6]=>[5,3,4,8,1,7,2,6]=>[6,2,7,1,8,4,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>11 [3,6,1,8,4,2,7,5]=>[3,6,1,8,4,7,2,5]=>[5,2,7,4,8,1,6,3]=>[[1,3,5],[2,4,7],[6,8]]=>12 [5,7,8,2,3,1,6,4]=>[2,7,5,3,8,1,6,4]=>[4,6,1,8,3,5,7,2]=>[[1,2,4,7],[3,5,6],[8]]=>17 [6,7,8,2,3,5,1,4]=>[2,6,3,7,1,8,5,4]=>[4,5,8,1,7,3,6,2]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [6,7,8,2,5,3,4,1]=>[2,6,7,3,8,5,4,1]=>[1,4,5,8,3,7,6,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [2,6,5,3,4,7,1,8]=>[2,6,5,3,4,7,1,8]=>[8,1,7,4,3,5,6,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>11 [1,4,7,3,6,5,8,2]=>[4,7,6,3,5,8,1,2]=>[2,1,8,5,3,6,7,4]=>[[1,3,6,7],[2,4,8],[5]]=>11 [2,4,7,3,6,5,1,8]=>[4,7,6,2,3,5,1,8]=>[8,1,5,3,2,6,7,4]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [4,7,1,3,6,5,8,2]=>[4,7,1,6,3,5,8,2]=>[2,8,5,3,6,1,7,4]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [1,3,5,8,7,2,6,4]=>[8,7,5,3,6,1,2,4]=>[4,2,1,6,3,5,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>11 [6,4,1,8,5,7,3,2]=>[6,1,8,4,5,7,3,2]=>[2,3,7,5,4,8,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [8,5,1,6,7,2,4,3]=>[5,1,2,8,6,7,4,3]=>[3,4,7,6,8,2,1,5]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [3,6,7,2,1,5,8,4]=>[6,3,2,7,5,8,1,4]=>[4,1,8,5,7,2,3,6]=>[[1,3,5,8],[2,4,7],[6]]=>13 [3,1,7,6,2,5,8,4]=>[3,7,6,1,5,8,2,4]=>[4,2,8,5,1,6,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>11 [2,8,1,3,5,7,6,4]=>[2,8,7,1,5,6,3,4]=>[4,3,6,5,1,7,8,2]=>[[1,3,6,7],[2,4],[5,8]]=>11 [3,8,5,7,2,4,6,1]=>[8,7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>18 [7,2,5,6,1,3,8,4]=>[7,2,1,5,3,6,8,4]=>[4,8,6,3,5,1,2,7]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [5,7,4,8,6,1,2,3]=>[7,5,1,8,4,2,6,3]=>[3,6,2,4,8,1,5,7]=>[[1,2,5,8],[3,4,7],[6]]=>19 [7,2,6,4,5,1,3,8]=>[2,7,6,4,1,5,3,8]=>[8,3,5,1,4,6,7,2]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [5,4,8,1,6,7,2,3]=>[5,4,8,1,6,2,7,3]=>[3,7,2,6,1,8,4,5]=>[[1,2,6],[3,4,8],[5,7]]=>16 [4,5,1,3,6,7,2,8]=>[1,4,5,3,6,7,2,8]=>[8,2,7,6,3,5,4,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>9 [4,7,3,5,2,6,8,1]=>[4,3,7,5,2,6,8,1]=>[1,8,6,2,5,7,3,4]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [7,3,6,5,2,4,8,1]=>[7,6,3,2,5,4,8,1]=>[1,8,4,5,2,3,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>18 [7,3,6,4,5,1,8,2]=>[3,7,4,1,6,5,8,2]=>[2,8,5,6,1,4,7,3]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [6,8,4,1,5,7,3,2]=>[1,6,4,8,5,7,3,2]=>[2,3,7,5,8,4,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [4,5,1,7,2,6,8,3]=>[1,4,5,7,2,6,8,3]=>[3,8,6,2,7,5,4,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [7,1,3,5,6,4,8,2]=>[1,7,5,6,3,4,8,2]=>[2,8,4,3,6,5,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [7,2,3,6,4,5,8,1]=>[2,7,3,4,6,5,8,1]=>[1,8,5,6,4,3,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>14 [1,3,4,7,8,5,6,2]=>[7,3,8,4,5,6,1,2]=>[2,1,6,5,4,8,3,7]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [1,8,5,3,6,4,7,2]=>[3,5,6,4,8,7,1,2]=>[2,1,7,8,4,6,5,3]=>[[1,3,4],[2,5,6],[7],[8]]=>14 [1,6,4,5,8,3,7,2]=>[4,6,8,5,3,7,1,2]=>[2,1,7,3,5,8,6,4]=>[[1,3,5,6],[2,4,7],[8]]=>13 [2,5,8,1,6,4,3,7]=>[2,5,8,6,4,1,3,7]=>[7,3,1,4,6,8,5,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [3,5,8,6,7,2,1,4]=>[5,8,6,7,3,2,1,4]=>[4,1,2,3,7,6,8,5]=>[[1,3,4,5,7],[2,6],[8]]=>17 [2,8,3,6,4,1,7,5]=>[2,6,3,4,8,7,1,5]=>[5,1,7,8,4,3,6,2]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [6,5,3,4,8,2,1,7]=>[3,6,5,8,4,2,1,7]=>[7,1,2,4,8,5,6,3]=>[[1,3,4,5,7],[2,6],[8]]=>17 [5,4,8,7,3,6,2,1]=>[8,5,7,4,3,6,2,1]=>[1,2,6,3,4,7,5,8]=>[[1,2,3,5,6,8],[4,7]]=>21 [4,8,5,6,2,1,7,3]=>[4,5,2,1,8,6,7,3]=>[3,7,6,8,1,2,5,4]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [5,2,7,6,8,3,4,1]=>[7,5,6,2,3,8,4,1]=>[1,4,8,3,2,6,5,7]=>[[1,2,3,8],[4,6],[5,7]]=>17 [8,4,5,2,7,3,6,1]=>[4,5,2,8,3,7,6,1]=>[1,6,7,3,8,2,5,4]=>[[1,2,3,5],[4,7],[6,8]]=>19 [7,3,4,2,8,5,6,1]=>[3,4,7,2,5,8,6,1]=>[1,6,8,5,2,7,4,3]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [4,3,6,5,8,2,7,1]=>[4,6,8,3,5,2,7,1]=>[1,7,2,5,3,8,6,4]=>[[1,2,4,6],[3,7],[5,8]]=>15 [8,2,7,4,5,3,6,1]=>[2,8,4,5,3,7,6,1]=>[1,6,7,3,5,4,8,2]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [7,2,8,4,5,3,6,1]=>[4,7,5,2,3,8,6,1]=>[1,6,8,3,2,5,7,4]=>[[1,2,3,7],[4,6],[5,8]]=>18 [6,3,8,2,7,4,5,1]=>[6,8,3,2,4,7,5,1]=>[1,5,7,4,2,3,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>18 [3,2,8,4,7,5,6,1]=>[8,3,2,7,4,5,6,1]=>[1,6,5,4,7,2,3,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [3,4,7,8,2,6,5,1]=>[7,3,8,4,6,2,5,1]=>[1,5,2,6,4,8,3,7]=>[[1,2,4,6],[3,5,8],[7]]=>16 [4,3,5,6,8,2,1,7]=>[4,8,3,5,6,2,1,7]=>[7,1,2,6,5,3,8,4]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [2,6,5,8,7,4,1,3]=>[6,8,5,7,4,2,1,3]=>[3,1,2,4,7,5,8,6]=>[[1,3,4,5,7],[2,6,8]]=>17 [1,7,8,4,3,6,5,2]=>[4,3,7,8,6,5,1,2]=>[2,1,5,6,8,7,3,4]=>[[1,3,4,5],[2,6,8],[7]]=>16 [1,7,8,3,6,5,4,2]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[[1,3,4,5,7],[2,6,8]]=>17 [6,4,5,8,7,2,1,3]=>[4,6,8,5,2,1,7,3]=>[3,7,1,2,5,8,6,4]=>[[1,2,5,6],[3,4,7],[8]]=>19 [5,8,1,7,2,4,3,6]=>[1,2,5,8,7,4,3,6]=>[6,3,4,7,8,5,2,1]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [6,4,1,3,7,5,2,8]=>[4,1,3,6,7,5,2,8]=>[8,2,5,7,6,3,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [6,8,5,4,2,3,1,7]=>[2,8,6,5,4,3,1,7]=>[7,1,3,4,5,6,8,2]=>[[1,3,4,5,6,7],[2],[8]]=>20 [3,8,6,5,2,1,4,7]=>[8,6,3,2,1,5,4,7]=>[7,4,5,1,2,3,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>16 [2,7,6,8,4,1,3,5]=>[2,7,6,1,8,4,3,5]=>[5,3,4,8,1,6,7,2]=>[[1,3,4,7],[2,6],[5,8]]=>16 [6,5,8,3,2,4,1,7]=>[6,3,2,8,5,4,1,7]=>[7,1,4,5,8,2,3,6]=>[[1,3,4,5],[2,7,8],[6]]=>18 [6,4,1,3,2,8,7,5]=>[4,1,3,8,2,6,7,5]=>[5,7,6,2,8,3,1,4]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [6,5,2,3,8,7,4,1]=>[2,3,6,8,5,7,4,1]=>[1,4,7,5,8,6,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [5,6,8,3,4,7,1,2]=>[8,5,3,6,4,1,7,2]=>[2,7,1,4,6,3,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>19 [5,7,2,8,3,4,1,6]=>[2,7,5,3,8,4,1,6]=>[6,1,4,8,3,5,7,2]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [2,5,1,6,3,8,7,4]=>[2,5,8,1,6,7,3,4]=>[4,3,7,6,1,8,5,2]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [3,5,2,7,6,8,1,4]=>[5,7,3,6,8,2,1,4]=>[4,1,2,8,6,3,7,5]=>[[1,3,4,7],[2,5,8],[6]]=>13 [3,6,2,7,5,8,1,4]=>[3,6,7,5,8,2,1,4]=>[4,1,2,8,5,7,6,3]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [1,5,4,7,2,8,6,3]=>[5,4,7,8,1,6,2,3]=>[3,2,6,1,8,7,4,5]=>[[1,3,5],[2,6,8],[4,7]]=>11 [2,6,1,7,3,8,5,4]=>[6,2,7,8,1,5,3,4]=>[4,3,5,1,8,7,2,6]=>[[1,3,5],[2,6,8],[4,7]]=>11 [2,6,4,7,1,8,5,3]=>[4,6,2,7,8,5,1,3]=>[3,1,5,8,7,2,6,4]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [2,5,1,7,6,8,4,3]=>[7,2,5,6,8,4,1,3]=>[3,1,4,8,6,5,2,7]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [2,6,5,7,4,8,1,3]=>[6,5,7,4,8,2,1,3]=>[3,1,2,8,4,7,5,6]=>[[1,3,4,6,8],[2,5],[7]]=>15 [2,6,4,7,3,8,1,5]=>[6,7,2,4,8,3,1,5]=>[5,1,3,8,4,2,7,6]=>[[1,3,4,7],[2,5],[6,8]]=>13 [7,6,1,8,3,4,2,5]=>[1,7,6,3,4,2,8,5]=>[5,8,2,4,3,6,7,1]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [6,4,2,3,8,7,5,1]=>[2,4,8,3,6,7,5,1]=>[1,5,7,6,3,8,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [6,5,1,3,8,4,2,7]=>[6,5,1,3,8,4,2,7]=>[7,2,4,8,3,1,5,6]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [6,1,4,2,7,8,3,5]=>[1,4,6,7,2,3,8,5]=>[5,8,3,2,7,6,4,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>11 [5,6,7,1,4,8,2,3]=>[1,5,6,7,4,2,8,3]=>[3,8,2,4,7,6,5,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [7,8,2,3,6,4,1,5]=>[7,2,3,4,1,8,6,5]=>[5,6,8,1,4,3,2,7]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [2,5,8,6,4,3,1,7]=>[5,8,6,4,2,3,1,7]=>[7,1,3,2,4,6,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>15 [2,4,1,7,5,6,3,8]=>[7,4,2,5,6,1,3,8]=>[8,3,1,6,5,2,4,7]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [6,5,1,3,2,7,8,4]=>[3,1,2,6,5,7,8,4]=>[4,8,7,5,6,2,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [4,1,3,5,2,8,7,6]=>[4,8,1,3,5,7,2,6]=>[6,2,7,5,3,1,8,4]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [4,5,8,6,3,7,1,2]=>[4,8,5,6,3,1,7,2]=>[2,7,1,3,6,5,8,4]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [2,4,7,8,5,1,6,3]=>[7,4,8,5,2,6,1,3]=>[3,1,6,2,5,8,4,7]=>[[1,3,5,6],[2,4,8],[7]]=>14 [1,3,2,5,8,4,7,6]=>[3,8,5,7,1,2,4,6]=>[6,4,2,1,7,5,8,3]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [1,4,3,7,6,2,8,5]=>[7,4,6,3,8,1,2,5]=>[5,2,1,8,3,6,4,7]=>[[1,4,6,8],[2,5],[3,7]]=>9 [3,6,5,1,7,8,2,4]=>[6,5,3,7,1,8,2,4]=>[4,2,8,1,7,3,5,6]=>[[1,3,7,8],[2,5],[4,6]]=>13 [1,6,2,5,7,3,8,4]=>[6,5,1,2,7,8,3,4]=>[4,3,8,7,2,1,5,6]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [1,4,7,8,2,6,3,5]=>[7,4,1,8,6,2,3,5]=>[5,3,2,6,8,1,4,7]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [2,4,6,1,7,8,5,3]=>[6,4,7,8,2,5,1,3]=>[3,1,5,2,8,7,4,6]=>[[1,3,5,8],[2,4,6],[7]]=>11 [1,6,7,2,4,8,3,5]=>[1,2,6,7,8,4,3,5]=>[5,3,4,8,7,6,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [3,7,2,8,4,1,5,6]=>[7,3,2,4,1,8,5,6]=>[6,5,8,1,4,2,3,7]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [5,1,4,6,3,8,2,7]=>[5,4,6,8,1,3,2,7]=>[7,2,3,1,8,6,4,5]=>[[1,3,5,8],[2,6],[4,7]]=>11 [2,6,3,5,8,1,4,7]=>[6,8,2,5,3,1,4,7]=>[7,4,1,3,5,2,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [2,7,1,6,8,4,3,5]=>[7,6,2,8,1,4,3,5]=>[5,3,4,1,8,2,6,7]=>[[1,3,5,8],[2,6,7],[4]]=>13 [7,2,6,4,1,8,3,5]=>[4,2,7,6,1,3,8,5]=>[5,8,3,1,6,7,2,4]=>[[1,2,6],[3,5,8],[4,7]]=>15 [3,6,1,5,8,2,7,4]=>[3,6,5,8,1,7,2,4]=>[4,2,7,1,8,5,6,3]=>[[1,3,5],[2,6,7],[4,8]]=>12 [5,3,4,1,7,8,6,2]=>[3,1,5,7,8,4,6,2]=>[2,6,4,8,7,5,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [4,7,6,5,8,2,3,1]=>[7,6,4,5,2,8,3,1]=>[1,3,8,2,5,4,6,7]=>[[1,2,3,7,8],[4,5],[6]]=>20 [5,3,4,7,8,6,2,1]=>[3,5,7,8,4,6,2,1]=>[1,2,6,4,8,7,5,3]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [2,3,8,4,5,6,1,7]=>[2,3,4,8,5,6,1,7]=>[7,1,6,5,8,4,3,2]=>[[1,3,5],[2],[4],[6],[7],[8]]=>10 [4,3,5,7,2,1,8,6]=>[4,7,3,5,2,8,1,6]=>[6,1,8,2,5,3,7,4]=>[[1,3,5,7],[2,4],[6,8]]=>12 [4,3,5,7,2,8,6,1]=>[4,7,3,5,8,2,6,1]=>[1,6,2,8,5,3,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>14 [3,4,1,7,6,5,8,2]=>[7,3,6,1,4,5,8,2]=>[2,8,5,4,1,6,3,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [4,3,7,5,1,6,8,2]=>[7,4,3,1,5,6,8,2]=>[2,8,6,5,1,3,4,7]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [5,7,2,8,3,1,4,6]=>[2,7,5,3,1,8,4,6]=>[6,4,8,1,3,5,7,2]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [1,2,6,8,4,3,5,7]=>[8,1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>8 [7,2,6,3,1,8,4,5]=>[2,3,7,6,1,4,8,5]=>[5,8,4,1,6,7,3,2]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [5,8,4,1,7,3,2,6]=>[1,5,4,8,7,3,2,6]=>[6,2,3,7,8,4,5,1]=>[[1,3,4,5],[2,6,7],[8]]=>17 [6,2,3,5,8,4,7,1]=>[6,8,2,3,5,4,7,1]=>[1,7,4,5,3,2,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [3,4,2,1,6,8,5,7]=>[3,4,8,2,6,1,5,7]=>[7,5,1,6,2,8,4,3]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [8,1,3,5,6,4,7,2]=>[1,8,3,5,6,4,7,2]=>[2,7,4,6,5,3,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>14 [3,4,7,1,5,6,2,8]=>[7,3,4,1,5,6,2,8]=>[8,2,6,5,1,4,3,7]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [5,8,6,4,7,3,2,1]=>[5,8,6,4,7,3,2,1]=>[1,2,3,7,4,6,8,5]=>[[1,2,3,4,6,7],[5],[8]]=>23 [8,5,2,3,1,6,7,4]=>[2,3,1,5,6,8,7,4]=>[4,7,8,6,5,1,3,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [8,4,1,5,3,6,7,2]=>[4,5,1,3,6,8,7,2]=>[2,7,8,6,3,1,5,4]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [3,8,6,2,5,4,7,1]=>[3,8,6,2,5,4,7,1]=>[1,7,4,5,2,6,8,3]=>[[1,2,4,6,7],[3,8],[5]]=>17 [3,8,4,6,5,2,7,1]=>[8,3,4,6,5,2,7,1]=>[1,7,2,5,6,4,3,8]=>[[1,2,4,5,8],[3],[6],[7]]=>17 [8,1,7,4,2,5,3,6]=>[1,2,8,4,5,3,7,6]=>[6,7,3,5,4,8,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [8,3,2,5,1,4,7,6]=>[3,5,2,8,1,4,7,6]=>[6,7,4,1,8,2,5,3]=>[[1,2,5],[3,6,7],[4,8]]=>13 [8,4,5,1,2,6,7,3]=>[1,4,2,5,6,8,7,3]=>[3,7,8,6,5,2,4,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [8,1,5,2,4,6,7,3]=>[5,1,2,4,8,6,7,3]=>[3,7,6,8,4,2,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [5,2,6,4,1,3,8,7]=>[5,6,2,1,4,8,3,7]=>[7,3,8,4,1,2,6,5]=>[[1,3,7],[2,4,8],[5,6]]=>11 [7,1,3,5,2,8,6,4]=>[7,1,3,8,2,5,6,4]=>[4,6,5,2,8,3,1,7]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [8,6,3,5,7,2,1,4]=>[6,3,5,2,1,8,7,4]=>[4,7,8,1,2,5,3,6]=>[[1,2,3,8],[4,5,6],[7]]=>21 [8,5,3,1,4,6,2,7]=>[1,3,5,4,6,2,8,7]=>[7,8,2,6,4,5,3,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [6,8,4,3,2,1,7,5]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]=>[[1,2,4,7,8],[3,5,6]]=>18 [2,1,8,5,4,3,7,6]=>[5,2,4,8,7,1,3,6]=>[6,3,1,7,8,4,2,5]=>[[1,4,5],[2,6,8],[3,7]]=>10 [6,2,8,5,4,1,3,7]=>[6,8,2,1,5,4,3,7]=>[7,3,4,5,1,2,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>16 [6,4,8,5,3,2,7,1]=>[6,4,8,5,3,2,7,1]=>[1,7,2,3,5,8,4,6]=>[[1,2,4,5,6],[3,8],[7]]=>20 [4,7,8,5,3,2,6,1]=>[7,4,8,5,3,2,6,1]=>[1,6,2,3,5,8,4,7]=>[[1,2,4,5,6],[3,8],[7]]=>20 [3,8,5,4,2,6,7,1]=>[5,3,4,2,8,6,7,1]=>[1,7,6,8,2,4,3,5]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [4,8,5,6,2,7,1,3]=>[4,5,2,8,6,1,7,3]=>[3,7,1,6,8,2,5,4]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [4,8,6,5,7,3,1,2]=>[8,4,6,5,1,7,3,2]=>[2,3,7,1,5,6,4,8]=>[[1,2,3,6,8],[4,5],[7]]=>21 [5,7,6,3,8,4,2,1]=>[7,5,3,6,8,4,2,1]=>[1,2,4,8,6,3,5,7]=>[[1,2,3,4,8],[5,7],[6]]=>21 [8,4,7,5,6,3,1,2]=>[4,8,5,1,7,6,3,2]=>[2,3,6,7,1,5,8,4]=>[[1,2,3,4,7],[5,6],[8]]=>23 [6,8,5,4,7,2,3,1]=>[8,6,5,4,2,7,3,1]=>[1,3,7,2,4,5,6,8]=>[[1,2,3,6,7,8],[4,5]]=>23 [3,4,8,1,2,6,5,7]=>[3,1,4,8,6,2,5,7]=>[7,5,2,6,8,4,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [3,2,5,6,7,1,4,8]=>[3,5,6,7,2,1,4,8]=>[8,4,1,2,7,6,5,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [2,5,7,3,4,8,1,6]=>[2,7,5,8,3,4,1,6]=>[6,1,4,3,8,5,7,2]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [2,7,3,5,6,1,4,8]=>[2,7,5,6,3,1,4,8]=>[8,4,1,3,6,5,7,2]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [5,2,4,7,8,1,3,6]=>[5,7,8,2,1,4,3,6]=>[6,3,4,1,2,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>13 [4,8,5,6,1,2,7,3]=>[4,1,5,2,8,6,7,3]=>[3,7,6,8,2,5,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [1,7,8,5,4,6,2,3]=>[7,5,4,1,8,6,2,3]=>[3,2,6,8,1,4,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>17 [4,6,8,1,5,2,7,3]=>[6,1,8,4,2,5,7,3]=>[3,7,5,2,4,8,1,6]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [6,1,2,5,3,8,7,4]=>[1,6,8,2,3,5,7,4]=>[4,7,5,3,2,8,6,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [5,3,8,1,2,6,7,4]=>[3,5,1,8,2,6,7,4]=>[4,7,6,2,8,1,5,3]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [5,1,2,4,6,7,3,8]=>[5,1,2,4,6,7,3,8]=>[8,3,7,6,4,2,1,5]=>[[1,3,8],[2],[4],[5],[6],[7]]=>7 [5,1,3,6,7,2,4,8]=>[3,5,6,1,2,7,4,8]=>[8,4,7,2,1,6,5,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>9 [3,1,4,7,5,8,6,2]=>[1,7,8,3,4,5,6,2]=>[2,6,5,4,3,8,7,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [2,3,7,5,8,6,1,4]=>[5,7,8,6,2,3,1,4]=>[4,1,3,2,6,8,7,5]=>[[1,3,5,6],[2,7],[4,8]]=>13 [3,8,5,1,2,4,7,6]=>[1,3,2,8,5,7,4,6]=>[6,4,7,5,8,2,3,1]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [1,3,6,4,8,2,7,5]=>[6,3,8,4,7,1,2,5]=>[5,2,1,7,4,8,3,6]=>[[1,4,6],[2,5,8],[3,7]]=>9 [1,6,2,7,8,3,5,4]=>[6,1,7,8,2,5,3,4]=>[4,3,5,2,8,7,1,6]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [1,2,3,4,6,5,7,8,9,10]=>[6,1,2,3,4,5,7,8,9,10]=>[10,9,8,7,5,4,3,2,1,6]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>1 [1,2,3,4,5,6,8,7,9,10]=>[8,1,2,3,4,5,6,7,9,10]=>[10,9,7,6,5,4,3,2,1,8]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>1 [6,8,1,5,3,4,7,2]=>[6,1,3,8,5,4,7,2]=>[2,7,4,5,8,3,1,6]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [1,7,6,2,8,5,3,4]=>[7,6,1,2,8,5,3,4]=>[4,3,5,8,2,1,6,7]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [6,4,7,3,5,8,2,1]=>[4,6,3,7,5,8,2,1]=>[1,2,8,5,7,3,6,4]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [1,5,8,6,4,7,2,3]=>[5,8,6,4,1,7,2,3]=>[3,2,7,1,4,6,8,5]=>[[1,3,6,7],[2,5],[4,8]]=>15 [5,6,2,8,1,7,3,4]=>[2,5,6,1,8,3,7,4]=>[4,7,3,8,1,6,5,2]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [2,5,3,7,4,1,6,8]=>[5,2,7,3,4,1,6,8]=>[8,6,1,4,3,7,2,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [2,7,6,3,4,1,5,8]=>[2,3,7,6,4,1,5,8]=>[8,5,1,4,6,7,3,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>12 [6,2,7,3,4,1,5,8]=>[2,6,3,4,1,7,5,8]=>[8,5,7,1,4,3,6,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [5,2,3,8,1,4,6,7]=>[2,5,3,1,8,4,6,7]=>[7,6,4,8,1,3,5,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [2,5,3,8,1,4,6,7]=>[2,8,5,3,1,4,6,7]=>[7,6,4,1,3,5,8,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>9 [2,5,3,1,8,4,6,7]=>[5,2,8,3,1,4,6,7]=>[7,6,4,1,3,8,2,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [8,6,5,2,4,3,7,1]=>[6,2,5,4,3,8,7,1]=>[1,7,8,3,4,5,2,6]=>[[1,2,3,6,8],[4,5],[7]]=>21 [8,5,4,2,6,3,7,1]=>[2,5,4,6,3,8,7,1]=>[1,7,8,3,6,4,5,2]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [7,4,6,5,8,2,3,1]=>[7,4,6,5,2,8,3,1]=>[1,3,8,2,5,6,4,7]=>[[1,2,3,6,8],[4,5],[7]]=>21 [7,3,6,4,8,2,5,1]=>[3,7,4,6,2,8,5,1]=>[1,5,8,2,6,4,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [2,6,5,7,4,1,8,3]=>[6,5,7,4,2,8,1,3]=>[3,1,8,2,4,7,5,6]=>[[1,3,5,6,8],[2,4],[7]]=>14 [1,2,7,4,8,5,6,3]=>[7,4,5,8,6,1,2,3]=>[3,2,1,6,8,5,4,7]=>[[1,4,5],[2,6,8],[3,7]]=>10 [7,2,5,6,3,8,4,1]=>[7,2,5,3,6,8,4,1]=>[1,4,8,6,3,5,2,7]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [2,6,7,4,8,5,1,3]=>[6,4,7,8,5,2,1,3]=>[3,1,2,5,8,7,4,6]=>[[1,3,4,5],[2,6,8],[7]]=>16 [4,6,1,3,7,2,8,5]=>[6,1,4,7,3,8,2,5]=>[5,2,8,3,7,4,1,6]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [2,6,3,4,8,5,1,7]=>[6,2,3,8,4,5,1,7]=>[7,1,5,4,8,3,2,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [7,6,3,4,8,5,2,1]=>[3,4,7,6,8,5,2,1]=>[1,2,5,8,6,7,4,3]=>[[1,2,3,4,6],[5],[7],[8]]=>21 [1,6,3,4,8,5,2,7]=>[6,3,4,8,5,1,2,7]=>[7,2,1,5,8,4,3,6]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [1,7,3,4,8,5,6,2]=>[7,3,4,5,8,6,1,2]=>[2,1,6,8,5,4,3,7]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [7,4,8,2,5,3,6,1]=>[4,7,2,5,3,8,6,1]=>[1,6,8,3,5,2,7,4]=>[[1,2,3,7],[4,5],[6,8]]=>19 [2,5,8,6,4,3,7,1]=>[5,8,6,4,2,3,7,1]=>[1,7,3,2,4,6,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>16 [6,4,2,5,7,1,8,3]=>[2,4,6,5,1,7,8,3]=>[3,8,7,1,5,6,4,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [8,1,4,7,3,5,6,2]=>[8,1,4,3,7,5,6,2]=>[2,6,5,7,3,4,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [8,3,7,2,4,5,6,1]=>[3,2,4,8,5,7,6,1]=>[1,6,7,5,8,4,2,3]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [7,5,4,6,2,8,3,1]=>[5,4,2,7,6,8,3,1]=>[1,3,8,6,7,2,4,5]=>[[1,2,3,5],[4,7,8],[6]]=>20 [8,4,6,3,2,7,5,1]=>[4,3,2,8,6,7,5,1]=>[1,5,7,6,8,2,3,4]=>[[1,2,3,5],[4,7,8],[6]]=>20 [6,8,4,5,3,2,7,1]=>[4,8,6,5,3,2,7,1]=>[1,7,2,3,5,6,8,4]=>[[1,2,4,5,6,7],[3],[8]]=>21 [6,7,5,4,2,8,3,1]=>[6,2,7,5,4,8,3,1]=>[1,3,8,4,5,7,2,6]=>[[1,2,3,5,6],[4,8],[7]]=>21 [5,7,6,4,8,2,3,1]=>[7,5,6,4,2,8,3,1]=>[1,3,8,2,4,6,5,7]=>[[1,2,3,6,8],[4,5],[7]]=>21 [5,6,3,4,2,8,7,1]=>[5,3,6,4,8,2,7,1]=>[1,7,2,8,4,6,3,5]=>[[1,2,4,6],[3,5],[7,8]]=>16 [7,5,8,2,3,6,4,1]=>[2,5,3,7,8,6,4,1]=>[1,4,6,8,7,3,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [7,2,4,6,5,8,1,3]=>[7,2,6,4,5,1,8,3]=>[3,8,1,5,4,6,2,7]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [4,6,1,5,3,7,8,2]=>[6,1,4,5,3,7,8,2]=>[2,8,7,3,5,4,1,6]=>[[1,2,5,8],[3],[4],[6],[7]]=>12 [6,3,5,4,7,8,1,2]=>[6,3,5,4,7,1,8,2]=>[2,8,1,7,4,5,3,6]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [2,5,7,4,6,8,1,3]=>[7,5,4,6,8,2,1,3]=>[3,1,2,8,6,4,5,7]=>[[1,3,4,7,8],[2,5],[6]]=>14 [2,7,8,1,5,3,6,4]=>[7,2,1,5,8,6,3,4]=>[4,3,6,8,5,1,2,7]=>[[1,3,4],[2,5,8],[6,7]]=>14 [4,5,3,2,1,8,6,7]=>[4,5,3,8,2,1,6,7]=>[7,6,1,2,8,3,5,4]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [3,6,5,8,1,7,4,2]=>[6,5,8,3,7,1,4,2]=>[2,4,1,7,3,8,5,6]=>[[1,2,4,6],[3,5,7,8]]=>16 [4,1,6,8,5,2,3,7]=>[8,6,4,1,2,5,3,7]=>[7,3,5,2,1,4,6,8]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [4,5,2,8,6,7,1,3]=>[8,4,2,5,6,1,7,3]=>[3,7,1,6,5,2,4,8]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [4,5,2,8,6,7,3,1]=>[8,4,2,5,6,7,3,1]=>[1,3,7,6,5,2,4,8]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [3,5,8,6,2,4,7,1]=>[5,8,6,3,2,4,7,1]=>[1,7,4,2,3,6,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>16 [3,2,4,5,8,6,1,7]=>[8,3,2,4,5,6,1,7]=>[7,1,6,5,4,2,3,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>9 [4,5,2,1,3,8,6,7]=>[4,2,5,1,8,3,6,7]=>[7,6,3,8,1,5,2,4]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [4,2,3,6,8,5,1,7]=>[8,2,4,6,3,5,1,7]=>[7,1,5,3,6,4,2,8]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [4,5,1,3,2,8,6,7]=>[1,4,5,8,3,2,6,7]=>[7,6,2,3,8,5,4,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [6,8,5,2,4,7,1,3]=>[8,2,6,5,4,1,7,3]=>[3,7,1,4,5,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>20 [6,4,1,3,7,8,2,5]=>[4,1,3,6,7,2,8,5]=>[5,8,2,7,6,3,1,4]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [4,3,7,8,1,5,6,2]=>[7,4,8,3,1,5,6,2]=>[2,6,5,1,3,8,4,7]=>[[1,2,6,8],[3,5,7],[4]]=>15 [8,3,7,6,1,5,2,4]=>[3,1,8,7,6,2,5,4]=>[4,5,2,6,7,8,1,3]=>[[1,2,4,5,6],[3,8],[7]]=>20 [6,3,1,2,5,4,8,7]=>[1,3,6,2,5,8,4,7]=>[7,4,8,5,2,6,3,1]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [7,3,1,2,5,4,8,6]=>[1,3,5,2,4,7,8,6]=>[6,8,7,4,2,5,3,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>10 [1,5,8,2,4,3,7,6]=>[5,1,4,8,7,2,3,6]=>[6,3,2,7,8,4,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [1,4,8,2,5,3,7,6]=>[1,4,5,8,7,2,3,6]=>[6,3,2,7,8,5,4,1]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [5,2,6,3,1,4,8,7]=>[5,2,3,1,6,8,4,7]=>[7,4,8,6,1,3,2,5]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [4,2,7,3,1,5,8,6]=>[2,7,4,3,8,1,5,6]=>[6,5,1,8,3,4,7,2]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [8,3,7,4,1,2,6,5]=>[3,1,4,8,7,2,6,5]=>[5,6,2,7,8,4,1,3]=>[[1,2,4,5],[3,6],[7,8]]=>17 [4,3,7,8,2,6,5,1]=>[7,8,4,3,6,2,5,1]=>[1,5,2,6,3,4,8,7]=>[[1,2,4,6,7],[3,5,8]]=>17 [3,8,5,1,2,6,7,4]=>[1,5,3,6,8,7,2,4]=>[4,2,7,8,6,3,5,1]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [2,4,7,8,3,6,5,1]=>[7,4,8,6,2,3,5,1]=>[1,5,3,2,6,8,4,7]=>[[1,2,5,6],[3,7,8],[4]]=>15 [6,8,1,3,2,5,7,4]=>[3,6,1,2,8,5,7,4]=>[4,7,5,8,2,1,6,3]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [1,4,8,5,7,2,3,6]=>[8,4,1,7,5,2,3,6]=>[6,3,2,5,7,1,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [1,8,7,3,2,4,5,6]=>[3,1,2,4,8,7,5,6]=>[6,5,7,8,4,2,1,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [8,6,2,7,3,4,5,1]=>[2,6,3,4,8,7,5,1]=>[1,5,7,8,4,3,6,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [5,1,6,7,8,3,2,4]=>[5,6,7,3,1,2,8,4]=>[4,8,2,1,3,7,6,5]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [1,5,6,3,7,2,4,8]=>[1,5,6,7,3,2,4,8]=>[8,4,2,3,7,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [1,5,6,7,4,2,3,8]=>[5,6,1,7,4,2,3,8]=>[8,3,2,4,7,1,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [8,6,1,7,3,4,5,2]=>[1,8,3,6,4,7,5,2]=>[2,5,7,4,6,3,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [8,4,2,3,5,7,6,1]=>[2,4,8,3,5,7,6,1]=>[1,6,7,5,3,8,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [5,4,8,3,1,2,6,7]=>[1,8,5,4,3,2,6,7]=>[7,6,2,3,4,5,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>14 [8,4,7,3,2,5,6,1]=>[4,3,2,8,5,7,6,1]=>[1,6,7,5,8,2,3,4]=>[[1,2,3,5],[4,7,8],[6]]=>20 [6,8,5,1,7,3,4,2]=>[1,6,8,5,3,7,4,2]=>[2,4,7,3,5,8,6,1]=>[[1,2,3,6],[4,5,7],[8]]=>20 [6,2,7,3,8,1,4,5]=>[2,6,7,3,1,4,8,5]=>[5,8,4,1,3,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [4,6,7,5,1,8,2,3]=>[6,4,7,1,5,2,8,3]=>[3,8,2,5,1,7,4,6]=>[[1,2,6],[3,4,8],[5,7]]=>16 [7,3,6,8,4,1,2,5]=>[7,6,3,1,4,2,8,5]=>[5,8,2,4,1,3,6,7]=>[[1,2,7,8],[3,4],[5,6]]=>18 [7,2,5,4,8,6,3,1]=>[7,2,5,8,4,6,3,1]=>[1,3,6,4,8,5,2,7]=>[[1,2,3,5,8],[4,6],[7]]=>18 [3,5,8,1,2,7,6,4]=>[1,5,8,7,3,6,2,4]=>[4,2,6,3,7,8,5,1]=>[[1,3,5,6],[2,4,7],[8]]=>13 [7,6,2,8,5,3,4,1]=>[7,6,2,3,8,5,4,1]=>[1,4,5,8,3,2,6,7]=>[[1,2,3,4,8],[5,7],[6]]=>21 [8,2,7,6,4,1,3,5]=>[8,2,1,7,4,3,6,5]=>[5,6,3,4,7,1,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>19 [4,8,2,5,6,3,7,1]=>[2,4,5,8,6,3,7,1]=>[1,7,3,6,8,5,4,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>16 [4,7,1,5,6,3,2,8]=>[1,7,4,5,6,3,2,8]=>[8,2,3,6,5,4,7,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>13 [2,7,1,4,8,3,6,5]=>[7,8,2,1,4,6,3,5]=>[5,3,6,4,1,2,8,7]=>[[1,3,7],[2,4,8],[5,6]]=>11 [2,7,1,5,6,8,4,3]=>[2,7,5,6,8,4,1,3]=>[3,1,4,8,6,5,7,2]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [2,3,1,8,7,4,6,5]=>[2,8,7,3,6,1,4,5]=>[5,4,1,6,3,7,8,2]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [4,6,8,2,1,5,3,7]=>[4,2,8,6,1,5,3,7]=>[7,3,5,1,6,8,2,4]=>[[1,3,5,6],[2,7,8],[4]]=>14 [4,5,7,3,6,1,2,8]=>[7,4,5,3,1,6,2,8]=>[8,2,6,1,3,5,4,7]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [3,4,5,7,2,1,6,8]=>[7,3,4,5,2,1,6,8]=>[8,6,1,2,5,4,3,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>10 [4,6,5,7,2,3,8,1]=>[6,4,5,2,7,3,8,1]=>[1,8,3,7,2,5,4,6]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [3,6,7,2,5,8,4,1]=>[6,3,7,5,8,2,4,1]=>[1,4,2,8,5,7,3,6]=>[[1,2,4,6],[3,5,8],[7]]=>16 [5,3,6,7,4,8,1,2]=>[3,5,6,7,4,1,8,2]=>[2,8,1,4,7,6,5,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [4,2,7,8,5,6,1,3]=>[7,2,8,4,5,1,6,3]=>[3,6,1,5,4,8,2,7]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [5,4,3,7,8,1,6,2]=>[5,4,7,3,8,1,6,2]=>[2,6,1,8,3,7,4,5]=>[[1,2,4,8],[3,5,6],[7]]=>16 [3,5,7,8,4,2,1,6]=>[7,8,5,3,4,2,1,6]=>[6,1,2,4,3,5,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>16 [4,6,5,3,7,8,1,2]=>[6,4,5,3,7,1,8,2]=>[2,8,1,7,3,5,4,6]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [5,6,2,4,7,8,3,1]=>[2,5,6,4,7,8,3,1]=>[1,3,8,7,4,6,5,2]=>[[1,2,3,6],[4],[5],[7],[8]]=>16 [5,6,2,8,3,4,7,1]=>[5,2,6,3,8,4,7,1]=>[1,7,4,8,3,6,2,5]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [5,2,4,8,6,7,3,1]=>[8,5,2,4,6,7,3,1]=>[1,3,7,6,4,2,5,8]=>[[1,2,3,7,8],[4],[5],[6]]=>16 [2,4,7,8,6,5,1,3]=>[7,8,6,4,5,2,1,3]=>[3,1,2,5,4,6,8,7]=>[[1,3,4,6,7],[2,5,8]]=>16 [3,2,4,7,8,1,6,5]=>[7,8,3,2,4,6,1,5]=>[5,1,6,4,2,3,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>11 [3,6,4,7,1,5,8,2]=>[3,6,4,7,1,5,8,2]=>[2,8,5,1,7,4,6,3]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [2,5,3,1,7,8,4,6]=>[2,5,7,8,3,1,4,6]=>[6,4,1,3,8,7,5,2]=>[[1,4,5],[2,6],[3,7],[8]]=>9 [4,8,1,6,5,2,3,7]=>[8,4,1,2,6,5,3,7]=>[7,3,5,6,2,1,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [4,5,7,6,2,3,1,8]=>[7,4,5,2,6,3,1,8]=>[8,1,3,6,2,5,4,7]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [4,8,2,7,5,3,1,6]=>[4,8,2,7,5,3,1,6]=>[6,1,3,5,7,2,8,4]=>[[1,3,4,5,7],[2,8],[6]]=>17 [2,4,7,6,5,1,8,3]=>[7,6,4,5,2,8,1,3]=>[3,1,8,2,5,4,6,7]=>[[1,3,5,7,8],[2,4],[6]]=>13 [1,2,4,6,5,8,3,7]=>[6,8,4,5,1,2,3,7]=>[7,3,2,1,5,4,8,6]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [4,8,5,6,3,1,2,7]=>[4,5,1,8,6,3,2,7]=>[7,2,3,6,8,1,5,4]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [2,5,1,7,6,3,4,8]=>[7,2,5,1,6,3,4,8]=>[8,4,3,6,1,5,2,7]=>[[1,4,8],[2,6],[3,7],[5]]=>9 [4,3,1,5,2,6,7,8]=>[1,4,3,5,2,6,7,8]=>[8,7,6,2,5,3,4,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>6 [6,2,5,1,8,7,4,3]=>[2,6,8,5,7,1,4,3]=>[3,4,1,7,5,8,6,2]=>[[1,2,4,6],[3,5,7],[8]]=>15 [5,7,8,1,2,3,6,4]=>[1,2,7,5,8,3,6,4]=>[4,6,3,8,5,7,2,1]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [7,5,1,4,3,8,2,6]=>[5,4,1,3,7,2,8,6]=>[6,8,2,7,3,1,4,5]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [5,8,6,1,7,2,3,4]=>[5,1,2,8,6,3,7,4]=>[4,7,3,6,8,2,1,5]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [6,1,4,8,2,5,7,3]=>[6,8,1,4,2,5,7,3]=>[3,7,5,2,4,1,8,6]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [8,1,7,2,3,4,6,5]=>[8,1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>13 [4,8,3,7,2,6,5,1]=>[8,4,3,7,6,2,5,1]=>[1,5,2,6,7,3,4,8]=>[[1,2,4,5,8],[3,6,7]]=>19 [5,8,2,6,3,4,7,1]=>[5,2,3,8,6,4,7,1]=>[1,7,4,6,8,3,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [4,2,8,7,3,6,5,1]=>[4,8,7,2,6,3,5,1]=>[1,5,3,6,2,7,8,4]=>[[1,2,4,6,7],[3,8],[5]]=>17 [2,5,7,4,3,6,8,1]=>[7,5,4,2,3,6,8,1]=>[1,8,6,3,2,4,5,7]=>[[1,2,6,7,8],[3],[4],[5]]=>13 [3,7,1,4,8,2,5,6]=>[7,1,3,4,2,8,5,6]=>[6,5,8,2,4,3,1,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [5,8,4,6,3,2,1,7]=>[5,4,8,6,3,2,1,7]=>[7,1,2,3,6,8,4,5]=>[[1,3,4,5,6],[2,8],[7]]=>19 [2,3,5,8,4,7,1,6]=>[5,8,7,2,3,4,1,6]=>[6,1,4,3,2,7,8,5]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [6,7,4,8,5,2,1,3]=>[6,4,7,2,1,8,5,3]=>[3,5,8,1,2,7,4,6]=>[[1,2,3,8],[4,5,6],[7]]=>21 [8,7,5,1,6,3,2,4]=>[5,3,1,2,8,7,6,4]=>[4,6,7,8,2,1,3,5]=>[[1,2,3,4],[5,7,8],[6]]=>21 [2,8,4,6,7,3,5,1]=>[6,8,7,2,4,3,5,1]=>[1,5,3,4,2,7,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>17 [8,6,3,4,1,2,7,5]=>[3,1,4,2,6,8,7,5]=>[5,7,8,6,2,4,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [4,7,8,6,5,1,3,2]=>[7,4,8,6,1,5,3,2]=>[2,3,5,1,6,8,4,7]=>[[1,2,3,5,6],[4,7,8]]=>21 [8,5,7,3,6,2,1,4]=>[5,8,3,2,1,7,6,4]=>[4,6,7,1,2,3,8,5]=>[[1,2,3,7],[4,5,6,8]]=>22 [8,4,6,7,3,5,2,1]=>[4,8,6,3,7,5,2,1]=>[1,2,5,7,3,6,8,4]=>[[1,2,3,4,7],[5,6],[8]]=>23 [7,8,4,6,3,5,2,1]=>[4,7,3,8,6,5,2,1]=>[1,2,5,6,8,3,7,4]=>[[1,2,3,4,5],[6,7],[8]]=>24 [5,8,4,6,7,3,2,1]=>[5,4,8,6,7,3,2,1]=>[1,2,3,7,6,8,4,5]=>[[1,2,3,4,6],[5,8],[7]]=>22 [6,8,4,7,3,5,2,1]=>[6,8,4,3,7,5,2,1]=>[1,2,5,7,3,4,8,6]=>[[1,2,3,4,7],[5,6,8]]=>23 [8,4,7,3,5,6,2,1]=>[4,3,8,5,7,6,2,1]=>[1,2,6,7,5,8,3,4]=>[[1,2,3,4,6],[5,8],[7]]=>22 [4,2,6,5,3,7,8,1]=>[6,2,4,5,3,7,8,1]=>[1,8,7,3,5,4,2,6]=>[[1,2,5,8],[3],[4],[6],[7]]=>12 [6,1,7,3,5,8,4,2]=>[1,6,7,5,8,3,4,2]=>[2,4,3,8,5,7,6,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [5,7,1,3,6,8,4,2]=>[5,7,1,3,6,8,4,2]=>[2,4,8,6,3,1,7,5]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [6,7,2,3,5,4,1,8]=>[2,3,6,7,5,4,1,8]=>[8,1,4,5,7,6,3,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>15 [8,3,4,7,6,5,1,2]=>[8,7,3,4,1,6,5,2]=>[2,5,6,1,4,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>20 [8,2,4,7,6,1,5,3]=>[2,8,4,7,6,1,5,3]=>[3,5,1,6,7,4,8,2]=>[[1,2,4,5,7],[3,6],[8]]=>18 [8,3,2,4,1,6,7,5]=>[3,8,2,4,1,6,7,5]=>[5,7,6,1,4,2,8,3]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [6,8,7,4,2,3,1,5]=>[2,8,6,4,3,1,7,5]=>[5,7,1,3,4,6,8,2]=>[[1,2,5,6,7],[3,4],[8]]=>21 [2,7,3,1,6,8,4,5]=>[7,2,3,6,1,8,4,5]=>[5,4,8,1,6,3,2,7]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [2,4,7,3,1,6,8,5]=>[7,2,4,3,6,8,1,5]=>[5,1,8,6,3,4,2,7]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [7,2,4,3,1,8,6,5]=>[4,2,3,7,8,1,6,5]=>[5,6,1,8,7,3,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [4,3,1,2,7,5,8,6]=>[4,3,1,7,8,2,5,6]=>[6,5,2,8,7,1,3,4]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [7,3,4,6,2,1,8,5]=>[7,3,4,2,1,6,8,5]=>[5,8,6,1,2,4,3,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [8,1,7,6,2,5,4,3]=>[8,7,1,6,5,2,4,3]=>[3,4,2,5,6,1,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>19 [8,5,4,3,7,6,1,2]=>[5,4,8,3,1,7,6,2]=>[2,6,7,1,3,8,4,5]=>[[1,2,3,6],[4,5,7,8]]=>21 [8,1,4,7,5,2,6,3]=>[8,1,4,2,7,5,6,3]=>[3,6,5,7,2,4,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [3,7,8,6,4,1,5,2]=>[7,3,1,8,6,4,5,2]=>[2,5,4,6,8,1,3,7]=>[[1,2,4,5],[3,7,8],[6]]=>19 [5,6,7,1,3,4,8,2]=>[1,5,6,3,7,4,8,2]=>[2,8,4,7,3,6,5,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [4,6,1,5,7,2,3,8]=>[6,1,4,5,2,7,3,8]=>[8,3,7,2,5,4,1,6]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [6,5,1,2,7,3,4,8]=>[6,1,2,5,3,7,4,8]=>[8,4,7,3,5,2,1,6]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [4,5,8,3,7,1,6,2]=>[4,8,5,3,7,1,6,2]=>[2,6,1,7,3,5,8,4]=>[[1,2,4,7],[3,5,6],[8]]=>17 [4,7,2,1,3,5,6,8]=>[2,1,4,3,7,5,6,8]=>[8,6,5,7,3,4,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>9 [4,7,1,6,5,2,3,8]=>[7,4,1,6,2,5,3,8]=>[8,3,5,2,6,1,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [8,6,2,1,5,3,7,4]=>[6,2,1,3,5,8,7,4]=>[4,7,8,5,3,1,2,6]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [4,8,5,3,2,7,1,6]=>[4,5,3,8,7,2,1,6]=>[6,1,2,7,8,3,5,4]=>[[1,3,4,5],[2,6,7],[8]]=>17 [5,4,8,1,3,7,2,6]=>[5,1,8,4,7,3,2,6]=>[6,2,3,7,4,8,1,5]=>[[1,3,4,6],[2,5,8],[7]]=>15 [8,4,5,3,1,7,2,6]=>[4,5,3,1,8,2,7,6]=>[6,7,2,8,1,3,5,4]=>[[1,2,4],[3,6,7],[5,8]]=>17 [7,4,5,3,1,8,6,2]=>[4,1,5,3,7,8,6,2]=>[2,6,8,7,3,5,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [5,7,8,6,4,2,3,1]=>[7,8,5,2,6,4,3,1]=>[1,3,4,6,2,5,8,7]=>[[1,2,3,4,7],[5,6,8]]=>23 [6,8,7,5,1,3,2,4]=>[8,1,6,3,2,7,5,4]=>[4,5,7,2,3,6,1,8]=>[[1,2,3,8],[4,5,6],[7]]=>21 [4,7,6,3,8,2,5,1]=>[7,6,4,8,3,2,5,1]=>[1,5,2,3,8,4,6,7]=>[[1,2,4,5,7,8],[3,6]]=>19 [6,7,4,1,8,2,5,3]=>[6,1,4,2,7,8,5,3]=>[3,5,8,7,2,4,1,6]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [5,7,6,8,3,2,4,1]=>[7,5,6,3,2,8,4,1]=>[1,4,8,2,3,6,5,7]=>[[1,2,3,6,8],[4,5],[7]]=>21 [7,6,4,2,8,1,5,3]=>[2,4,1,7,6,8,5,3]=>[3,5,8,6,7,1,4,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [2,7,4,8,1,6,3,5]=>[7,2,8,4,1,6,3,5]=>[5,3,6,1,4,8,2,7]=>[[1,3,6],[2,5,8],[4,7]]=>14 [5,7,4,6,8,2,3,1]=>[7,5,4,6,2,8,3,1]=>[1,3,8,2,6,4,5,7]=>[[1,2,3,7,8],[4,5],[6]]=>20 [2,6,5,7,8,1,3,4]=>[6,5,7,2,1,8,3,4]=>[4,3,8,1,2,7,5,6]=>[[1,3,6,8],[2,5],[4,7]]=>14 [5,3,1,6,7,8,2,4]=>[1,3,5,6,7,2,8,4]=>[4,8,2,7,6,5,3,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>12 [6,3,1,5,7,8,2,4]=>[6,1,3,5,7,2,8,4]=>[4,8,2,7,5,3,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [7,3,1,5,6,8,2,4]=>[1,7,3,5,6,2,8,4]=>[4,8,2,6,5,3,7,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>14 [2,1,5,7,6,8,3,4]=>[7,5,6,8,2,1,3,4]=>[4,3,1,2,8,6,5,7]=>[[1,4,5,8],[2,6],[3,7]]=>10 [3,5,7,6,8,1,2,4]=>[7,5,6,1,8,3,2,4]=>[4,2,3,8,1,6,5,7]=>[[1,3,4,8],[2,6],[5,7]]=>15 [1,8,4,6,3,2,5,7]=>[8,4,3,1,2,6,5,7]=>[7,5,6,2,1,3,4,8]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [1,8,5,6,4,2,3,7]=>[5,1,8,6,2,4,3,7]=>[7,3,4,2,6,8,1,5]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [6,7,1,8,2,4,3,5]=>[1,6,7,2,4,3,8,5]=>[5,8,3,4,2,7,6,1]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [2,6,8,3,7,5,4,1]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[[1,2,4,5,8],[3,6],[7]]=>17 [1,8,7,6,2,4,5,3]=>[1,8,4,7,6,5,2,3]=>[3,2,5,6,7,4,8,1]=>[[1,3,4,5,7],[2,6],[8]]=>17 [3,4,2,5,8,1,6,7]=>[8,3,4,2,5,1,6,7]=>[7,6,1,5,2,4,3,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>9 [1,6,4,7,2,5,8,3]=>[4,1,6,7,5,8,2,3]=>[3,2,8,5,7,6,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [2,7,5,1,8,6,3,4]=>[2,5,7,1,8,6,3,4]=>[4,3,6,8,1,7,5,2]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [6,8,1,3,2,4,7,5]=>[3,1,2,6,8,4,7,5]=>[5,7,4,8,6,2,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [8,3,4,5,1,7,6,2]=>[3,4,8,1,5,7,6,2]=>[2,6,7,5,1,8,4,3]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [4,7,1,6,5,3,8,2]=>[7,6,1,4,5,3,8,2]=>[2,8,3,5,4,1,6,7]=>[[1,2,4,7,8],[3],[5],[6]]=>15 [8,2,1,4,5,3,6,7]=>[2,4,5,1,3,6,8,7]=>[7,8,6,3,1,5,4,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>10 [8,4,1,5,3,6,2,7]=>[4,5,1,3,6,2,8,7]=>[7,8,2,6,3,1,5,4]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [1,7,5,6,4,8,2,3]=>[5,7,6,4,1,8,2,3]=>[3,2,8,1,4,6,7,5]=>[[1,3,6,7],[2,5],[4,8]]=>15 [2,4,8,3,5,1,6,7]=>[4,2,3,8,5,1,6,7]=>[7,6,1,5,8,3,2,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [2,5,8,6,3,7,1,4]=>[5,2,8,6,7,3,1,4]=>[4,1,3,7,6,8,2,5]=>[[1,3,4,6],[2,5],[7,8]]=>15 [2,5,7,3,4,6,1,8]=>[2,7,5,3,4,6,1,8]=>[8,1,6,4,3,5,7,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>11 [7,2,5,3,1,6,8,4]=>[2,3,1,7,5,6,8,4]=>[4,8,6,5,7,1,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [8,3,6,1,2,7,5,4]=>[1,3,6,8,7,2,5,4]=>[4,5,2,7,8,6,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [4,3,5,2,7,8,1,6]=>[4,3,5,7,8,2,1,6]=>[6,1,2,8,7,5,3,4]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [7,2,6,4,5,8,1,3]=>[2,7,6,4,5,1,8,3]=>[3,8,1,5,4,6,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [2,1,4,7,6,8,3,5]=>[7,6,8,2,4,1,3,5]=>[5,3,1,4,2,8,6,7]=>[[1,4,6,8],[2,5,7],[3]]=>9 [4,1,2,7,6,8,3,5]=>[7,4,6,1,2,8,3,5]=>[5,3,8,2,1,6,4,7]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [3,4,2,5,7,8,1,6]=>[3,4,7,8,2,5,1,6]=>[6,1,5,2,8,7,4,3]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [7,2,5,4,6,8,1,3]=>[7,2,5,4,6,1,8,3]=>[3,8,1,6,4,5,2,7]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [5,3,4,2,7,8,1,6]=>[3,5,4,7,8,2,1,6]=>[6,1,2,8,7,4,5,3]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [5,3,4,6,1,8,2,7]=>[3,5,4,6,1,8,2,7]=>[7,2,8,1,6,4,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [4,7,8,5,1,2,6,3]=>[1,7,4,2,8,5,6,3]=>[3,6,5,8,2,4,7,1]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [4,1,6,8,7,2,5,3]=>[8,6,4,7,1,2,5,3]=>[3,5,2,1,7,4,6,8]=>[[1,2,5,8],[3,6,7],[4]]=>14 [4,5,7,1,8,2,6,3]=>[4,5,1,7,8,2,6,3]=>[3,6,2,8,7,1,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [7,2,4,1,3,8,6,5]=>[4,2,7,8,1,3,6,5]=>[5,6,3,1,8,7,2,4]=>[[1,2,5],[3,6,8],[4,7]]=>12 [6,1,3,5,2,8,7,4]=>[6,3,8,1,2,5,7,4]=>[4,7,5,2,1,8,3,6]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [2,7,1,5,3,8,6,4]=>[2,1,7,8,5,6,3,4]=>[4,3,6,5,8,7,1,2]=>[[1,3,5],[2,4,6],[7,8]]=>11 [3,5,7,2,8,4,1,6]=>[7,5,8,3,2,4,1,6]=>[6,1,4,2,3,8,5,7]=>[[1,3,5,6,8],[2,7],[4]]=>14 [7,3,2,1,4,8,6,5]=>[3,2,7,8,1,4,6,5]=>[5,6,4,1,8,7,2,3]=>[[1,2,5],[3,6,8],[4,7]]=>12 [2,8,3,4,1,7,6,5]=>[8,2,3,4,7,6,1,5]=>[5,1,6,7,4,3,2,8]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [4,2,7,3,5,1,8,6]=>[2,7,4,3,5,8,1,6]=>[6,1,8,5,3,4,7,2]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [4,7,6,8,2,5,3,1]=>[7,6,4,8,2,5,3,1]=>[1,3,5,2,8,4,6,7]=>[[1,2,3,5,8],[4,6,7]]=>20 [2,6,7,1,4,5,8,3]=>[2,6,4,7,5,8,1,3]=>[3,1,8,5,7,4,6,2]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [7,3,4,6,2,5,8,1]=>[7,3,4,2,6,5,8,1]=>[1,8,5,6,2,4,3,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [1,6,7,3,5,8,4,2]=>[3,6,7,5,8,4,1,2]=>[2,1,4,8,5,7,6,3]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [8,7,2,3,6,5,1,4]=>[8,7,2,3,1,6,5,4]=>[4,5,6,1,3,2,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>20 [8,7,2,6,1,3,5,4]=>[2,8,1,7,3,6,5,4]=>[4,5,6,3,7,1,8,2]=>[[1,2,3,5,7],[4,8],[6]]=>19 [7,1,2,5,8,6,4,3]=>[5,7,8,6,1,2,4,3]=>[3,4,2,1,6,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>14 [7,1,3,8,2,6,4,5]=>[7,8,1,3,2,4,6,5]=>[5,6,4,2,3,1,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [2,5,8,3,6,7,1,4]=>[8,5,2,6,7,3,1,4]=>[4,1,3,7,6,2,5,8]=>[[1,3,4,8],[2,5],[6,7]]=>14 [2,6,8,5,4,7,1,3]=>[8,6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6,8]=>[[1,3,4,6,7,8],[2,5]]=>17 [2,4,7,6,1,3,8,5]=>[7,6,4,2,8,1,3,5]=>[5,3,1,8,2,4,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>11 [6,4,8,3,1,5,2,7]=>[1,6,4,3,8,5,2,7]=>[7,2,5,8,3,4,6,1]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [2,7,3,4,1,5,8,6]=>[2,3,4,1,7,8,5,6]=>[6,5,8,7,1,4,3,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>9 [7,3,1,6,2,5,8,4]=>[3,7,1,6,2,5,8,4]=>[4,8,5,2,6,1,7,3]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [1,8,4,3,5,2,6,7]=>[4,3,5,1,2,8,6,7]=>[7,6,8,2,1,5,3,4]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [4,1,7,2,5,6,3,8]=>[7,4,1,2,5,6,3,8]=>[8,3,6,5,2,1,4,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [2,6,1,7,4,3,5,8]=>[6,2,7,1,4,3,5,8]=>[8,5,3,4,1,7,2,6]=>[[1,4,6],[2,7,8],[3],[5]]=>9 [6,2,8,3,4,5,1,7]=>[2,3,6,4,8,5,1,7]=>[7,1,5,8,4,6,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [3,8,2,6,4,5,1,7]=>[8,3,2,4,6,5,1,7]=>[7,1,5,6,4,2,3,8]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [2,8,3,4,6,5,1,7]=>[8,2,3,4,6,5,1,7]=>[7,1,5,6,4,3,2,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>12 [7,1,5,8,2,4,3,6]=>[1,5,7,4,2,3,8,6]=>[6,8,3,2,4,7,5,1]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [7,2,4,1,3,5,8,6]=>[4,2,1,3,5,7,8,6]=>[6,8,7,5,3,1,2,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [5,1,3,7,2,8,4,6]=>[5,3,7,1,2,8,4,6]=>[6,4,8,2,1,7,3,5]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [5,2,4,6,1,7,8,3]=>[5,2,4,1,6,7,8,3]=>[3,8,7,6,1,4,2,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [3,8,4,6,1,5,7,2]=>[3,4,8,1,6,5,7,2]=>[2,7,5,6,1,8,4,3]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [3,6,4,1,2,5,8,7]=>[3,1,6,4,8,2,5,7]=>[7,5,2,8,4,6,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [5,2,3,1,4,6,8,7]=>[2,3,1,5,8,4,6,7]=>[7,6,4,8,5,1,3,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>7 [4,2,7,1,3,5,8,6]=>[2,1,7,4,8,3,5,6]=>[6,5,3,8,4,7,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [3,5,4,1,6,2,8,7]=>[5,3,1,4,6,8,2,7]=>[7,2,8,6,4,1,3,5]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [3,5,1,7,6,2,8,4]=>[5,7,3,1,6,8,2,4]=>[4,2,8,6,1,3,7,5]=>[[1,3,7],[2,4,8],[5,6]]=>11 [4,6,7,3,1,8,2,5]=>[6,7,4,3,1,8,2,5]=>[5,2,8,1,3,4,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>15 [8,4,2,6,5,3,7,1]=>[6,2,4,5,3,8,7,1]=>[1,7,8,3,5,4,2,6]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [5,4,2,7,1,8,6,3]=>[2,5,4,7,8,1,6,3]=>[3,6,1,8,7,4,5,2]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [4,5,1,8,7,6,3,2]=>[8,7,1,4,5,6,3,2]=>[2,3,6,5,4,1,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>16 [8,4,5,2,7,6,3,1]=>[4,8,2,5,7,6,3,1]=>[1,3,6,7,5,2,8,4]=>[[1,2,3,4,7],[5,8],[6]]=>20 [3,1,4,5,7,6,2,8]=>[7,1,3,4,5,6,2,8]=>[8,2,6,5,4,3,1,7]=>[[1,3,8],[2],[4],[5],[6],[7]]=>7 [4,5,1,3,6,8,7,2]=>[1,4,5,8,3,6,7,2]=>[2,7,6,3,8,5,4,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [3,8,5,1,2,4,6,7]=>[1,5,3,2,4,8,6,7]=>[7,6,8,4,2,3,5,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [8,5,1,2,4,3,6,7]=>[5,1,2,4,3,6,8,7]=>[7,8,6,3,4,2,1,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [5,8,4,1,2,3,6,7]=>[1,2,5,4,3,8,6,7]=>[7,6,8,3,4,5,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>13 [3,5,8,1,4,2,7,6]=>[3,8,1,5,4,7,2,6]=>[6,2,7,4,5,1,8,3]=>[[1,3,5,7],[2,4],[6,8]]=>12 [2,8,5,7,1,4,3,6]=>[2,8,7,5,1,4,3,6]=>[6,3,4,1,5,7,8,2]=>[[1,3,5,6,7],[2,8],[4]]=>15 [4,8,7,5,1,2,3,6]=>[1,4,2,8,7,5,3,6]=>[6,3,5,7,8,2,4,1]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [8,1,2,4,6,3,7,5]=>[8,1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [7,6,1,4,2,3,8,5]=>[1,4,2,3,7,6,8,5]=>[5,8,6,7,3,2,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [6,1,2,7,8,4,3,5]=>[6,7,4,1,2,3,8,5]=>[5,8,3,2,1,4,7,6]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [8,4,7,2,1,6,3,5]=>[2,4,1,8,7,3,6,5]=>[5,6,3,7,8,1,4,2]=>[[1,2,4,5],[3,7],[6,8]]=>18 [3,1,6,7,5,2,4,8]=>[6,7,3,1,5,2,4,8]=>[8,4,2,5,1,3,7,6]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [8,4,2,5,3,6,7,1]=>[2,4,5,3,6,8,7,1]=>[1,7,8,6,3,5,4,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [7,1,5,3,6,8,2,4]=>[3,5,7,6,1,2,8,4]=>[4,8,2,1,6,7,5,3]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [8,1,5,3,6,7,2,4]=>[1,3,8,5,6,2,7,4]=>[4,7,2,6,5,8,3,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [3,6,5,2,4,7,8,1]=>[6,5,3,2,4,7,8,1]=>[1,8,7,4,2,3,5,6]=>[[1,2,6,7,8],[3],[4],[5]]=>13 [1,7,5,4,6,8,2,3]=>[5,4,7,6,1,8,2,3]=>[3,2,8,1,6,7,4,5]=>[[1,3,6],[2,5,8],[4,7]]=>14 [2,8,5,4,6,7,1,3]=>[5,4,6,8,7,2,1,3]=>[3,1,2,7,8,6,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>16 [4,5,2,6,1,8,3,7]=>[4,2,5,6,1,8,3,7]=>[7,3,8,1,6,5,2,4]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [7,1,5,6,8,3,4,2]=>[5,7,6,1,8,3,4,2]=>[2,4,3,8,1,6,7,5]=>[[1,2,4,7],[3,6],[5,8]]=>17 [5,1,8,6,7,3,4,2]=>[5,8,6,1,7,3,4,2]=>[2,4,3,7,1,6,8,5]=>[[1,2,4,7],[3,6],[5,8]]=>17 [6,3,2,4,1,7,5,8]=>[3,2,4,1,6,7,5,8]=>[8,5,7,6,1,4,2,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [6,8,3,2,4,1,5,7]=>[3,2,4,1,8,6,5,7]=>[7,5,6,8,1,4,2,3]=>[[1,3,4],[2,6,8],[5],[7]]=>15 [5,4,8,2,1,3,6,7]=>[2,1,8,5,4,3,6,7]=>[7,6,3,4,5,8,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [1,8,3,4,2,5,7,6]=>[3,4,8,1,2,7,5,6]=>[6,5,7,2,1,8,4,3]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [1,3,8,4,2,7,5,6]=>[8,1,7,3,4,2,5,6]=>[6,5,2,4,3,7,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>9 [7,2,8,3,1,4,5,6]=>[2,3,1,7,4,5,8,6]=>[6,8,5,4,7,1,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>13 [8,1,3,2,7,5,4,6]=>[3,8,5,1,2,4,7,6]=>[6,7,4,2,1,5,8,3]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [4,6,1,7,2,5,3,8]=>[4,1,6,7,2,5,3,8]=>[8,3,5,2,7,6,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [4,6,1,7,2,5,8,3]=>[4,1,6,7,2,5,8,3]=>[3,8,5,2,7,6,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [5,8,4,2,1,6,3,7]=>[2,1,5,4,8,6,3,7]=>[7,3,6,8,4,5,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [8,6,7,1,2,5,4,3]=>[1,8,2,6,7,5,4,3]=>[3,4,5,7,6,2,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>20 [4,6,7,8,2,5,1,3]=>[6,7,4,8,2,1,5,3]=>[3,5,1,2,8,4,7,6]=>[[1,2,5,7],[3,4,6],[8]]=>18 [5,4,2,8,1,6,3,7]=>[5,4,2,8,1,6,3,7]=>[7,3,6,1,8,2,4,5]=>[[1,3,5,8],[2,6,7],[4]]=>13 [7,6,3,8,2,5,4,1]=>[7,3,2,6,8,5,4,1]=>[1,4,5,8,6,2,3,7]=>[[1,2,3,4,8],[5,7],[6]]=>21 [2,7,8,6,4,5,1,3]=>[7,4,8,6,5,2,1,3]=>[3,1,2,5,6,8,4,7]=>[[1,3,4,5,6],[2,7,8]]=>19 [1,7,5,4,8,6,2,3]=>[5,4,7,1,8,6,2,3]=>[3,2,6,8,1,7,4,5]=>[[1,3,4],[2,6,8],[5,7]]=>15 [5,8,3,4,7,6,1,2]=>[3,5,8,7,4,1,6,2]=>[2,6,1,4,7,8,5,3]=>[[1,2,5,6],[3,4,7],[8]]=>19 [9,3,1,4,5,6,7,8,2]=>[1,3,4,5,6,7,9,8,2]=>[2,8,9,7,6,5,4,3,1]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>15 [7,3,8,6,4,2,5,1]=>[7,3,8,4,2,6,5,1]=>[1,5,6,2,4,8,3,7]=>[[1,2,3,6],[4,5,8],[7]]=>21 [5,6,2,1,7,3,4,8]=>[2,1,5,6,3,7,4,8]=>[8,4,7,3,6,5,1,2]=>[[1,3],[2,5],[4,8],[6],[7]]=>11 [5,4,3,8,6,1,2,7]=>[5,8,4,3,1,6,2,7]=>[7,2,6,1,3,4,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>15 [5,4,2,8,6,7,1,3]=>[5,2,8,4,6,1,7,3]=>[3,7,1,6,4,8,2,5]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [4,8,6,3,2,7,1,5]=>[6,4,3,8,7,2,1,5]=>[5,1,2,7,8,3,4,6]=>[[1,3,4,5,8],[2,6,7]]=>18 [4,8,5,3,6,1,2,7]=>[4,5,3,1,8,6,2,7]=>[7,2,6,8,1,3,5,4]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [5,8,6,3,2,7,1,4]=>[5,3,2,8,6,1,7,4]=>[4,7,1,6,8,2,3,5]=>[[1,2,5,8],[3,4,7],[6]]=>19 [5,7,3,2,8,6,4,1]=>[5,3,7,8,2,6,4,1]=>[1,4,6,2,8,7,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>18 [4,5,1,8,3,7,6,2]=>[1,8,4,5,7,3,6,2]=>[2,6,3,7,5,4,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [5,3,1,6,8,4,2,7]=>[8,1,3,5,6,4,2,7]=>[7,2,4,6,5,3,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>12 [4,5,1,6,8,2,7,3]=>[1,4,5,6,8,2,7,3]=>[3,7,2,8,6,5,4,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [4,5,1,7,8,3,2,6]=>[4,5,1,7,8,3,2,6]=>[6,2,3,8,7,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [6,2,1,3,8,4,7,5]=>[2,6,8,1,3,4,7,5]=>[5,7,4,3,1,8,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [1,6,3,7,2,4,8,5]=>[6,3,1,2,7,8,4,5]=>[5,4,8,7,2,1,3,6]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [4,3,8,1,5,6,2,7]=>[1,4,3,8,5,6,2,7]=>[7,2,6,5,8,3,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [8,9,7,6,5,4,3,1,2]=>[8,1,9,7,6,5,4,3,2]=>[2,3,4,5,6,7,9,1,8]=>[[1,2,3,4,5,6,7],[8,9]]=>34 [9,7,8,6,5,4,3,1,2]=>[7,1,9,8,6,5,4,3,2]=>[2,3,4,5,6,8,9,1,7]=>[[1,2,3,4,5,6,7],[8,9]]=>34 [3,6,1,5,7,2,4,8]=>[3,6,5,1,7,2,4,8]=>[8,4,2,7,1,5,6,3]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [6,3,1,5,7,2,4,8]=>[6,1,3,5,2,7,4,8]=>[8,4,7,2,5,3,1,6]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [3,2,6,5,1,4,7,8]=>[6,3,5,2,1,4,7,8]=>[8,7,4,1,2,5,3,6]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [2,5,4,1,3,7,6,8]=>[5,4,2,7,1,3,6,8]=>[8,6,3,1,7,2,4,5]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [5,2,4,1,3,7,6,8]=>[5,2,1,4,7,3,6,8]=>[8,6,3,7,4,1,2,5]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [5,2,1,3,7,4,6,8]=>[2,5,1,3,7,4,6,8]=>[8,6,4,7,3,1,5,2]=>[[1,4],[2,7],[3,8],[5],[6]]=>7 [8,4,1,2,6,5,7,3]=>[6,1,2,4,5,8,7,3]=>[3,7,8,5,4,2,1,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [4,5,2,1,3,7,6,8]=>[4,2,1,5,7,3,6,8]=>[8,6,3,7,5,1,2,4]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [5,2,3,1,4,7,6,8]=>[2,3,1,5,7,4,6,8]=>[8,6,4,7,5,1,3,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>7 [5,3,1,7,4,2,6,8]=>[3,1,5,7,4,2,6,8]=>[8,6,2,4,7,5,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [7,3,1,5,8,4,6,2]=>[5,7,1,3,4,8,6,2]=>[2,6,8,4,3,1,7,5]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [8,4,3,1,5,7,6,2]=>[1,4,8,3,5,7,6,2]=>[2,6,7,5,3,8,4,1]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [6,2,7,4,1,5,8,3]=>[6,2,1,7,4,5,8,3]=>[3,8,5,4,7,1,2,6]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [7,2,4,6,1,3,8,5]=>[7,4,2,1,3,6,8,5]=>[5,8,6,3,1,2,4,7]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [8,2,7,4,1,6,5,3]=>[2,8,1,7,6,4,5,3]=>[3,5,4,6,7,1,8,2]=>[[1,2,4,5,7],[3,8],[6]]=>18 [5,4,1,2,8,6,3,7]=>[5,1,4,8,2,6,3,7]=>[7,3,6,2,8,4,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [3,2,8,4,1,6,5,7]=>[3,2,4,8,6,1,5,7]=>[7,5,1,6,8,4,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [3,7,6,4,8,1,5,2]=>[3,7,6,4,8,1,5,2]=>[2,5,1,8,4,6,7,3]=>[[1,2,4,7],[3,5,6],[8]]=>17 [8,2,7,6,3,4,1,5]=>[2,3,8,7,4,1,6,5]=>[5,6,1,4,7,8,3,2]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [4,1,2,8,3,5,7,6]=>[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [7,1,2,4,8,6,3,5]=>[7,8,4,1,2,3,6,5]=>[5,6,3,2,1,4,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [7,1,8,5,4,6,2,3]=>[7,8,1,5,4,2,6,3]=>[3,6,2,4,5,1,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>18 [7,1,6,5,4,2,8,3]=>[1,7,6,5,2,4,8,3]=>[3,8,4,2,5,6,7,1]=>[[1,2,5,6,7],[3],[4],[8]]=>16 [3,6,1,4,8,2,5,7]=>[3,1,6,8,4,2,5,7]=>[7,5,2,4,8,6,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [7,1,8,4,2,3,6,5]=>[1,7,2,4,8,3,6,5]=>[5,6,3,8,4,2,7,1]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [6,2,1,8,3,4,5,7]=>[2,1,6,3,4,8,5,7]=>[7,5,8,4,3,6,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>10 [2,7,6,4,5,1,8,3]=>[4,7,6,5,2,8,1,3]=>[3,1,8,2,5,6,7,4]=>[[1,3,5,6,7],[2,4],[8]]=>15 [7,3,4,6,2,5,1,8]=>[7,3,4,2,6,5,1,8]=>[8,1,5,6,2,4,3,7]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [5,7,2,3,6,4,1,8]=>[2,5,7,3,6,4,1,8]=>[8,1,4,6,3,7,5,2]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [6,8,2,7,4,1,3,5]=>[2,6,1,8,4,3,7,5]=>[5,7,3,4,8,1,6,2]=>[[1,2,5],[3,4,7],[6,8]]=>18 [6,8,3,7,1,4,5,2]=>[3,6,1,8,4,7,5,2]=>[2,5,7,4,8,1,6,3]=>[[1,2,3,5],[4,7],[6,8]]=>19 [3,6,8,1,5,7,4,2]=>[6,3,8,5,7,1,4,2]=>[2,4,1,7,5,8,3,6]=>[[1,2,4,6],[3,5,8],[7]]=>16 [3,8,1,5,7,4,2,6]=>[8,7,1,3,5,4,2,6]=>[6,2,4,5,3,1,7,8]=>[[1,3,4,7,8],[2],[5],[6]]=>14 [8,3,7,1,4,5,2,6]=>[1,3,4,8,5,2,7,6]=>[6,7,2,5,8,4,3,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [8,1,5,7,2,6,3,4]=>[8,1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [4,5,6,8,2,1,7,3]=>[4,5,6,2,8,1,7,3]=>[3,7,1,8,2,6,5,4]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [4,5,6,8,1,3,7,2]=>[4,5,6,1,8,3,7,2]=>[2,7,3,8,1,6,5,4]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [4,5,8,3,2,1,7,6]=>[4,8,5,3,2,7,1,6]=>[6,1,7,2,3,5,8,4]=>[[1,3,5,6,7],[2,4],[8]]=>15 [4,7,3,2,1,6,5,8]=>[4,3,2,7,6,1,5,8]=>[8,5,1,6,7,2,3,4]=>[[1,4,5,8],[2,6,7],[3]]=>12 [4,7,8,3,5,1,6,2]=>[7,4,3,1,8,5,6,2]=>[2,6,5,8,1,3,4,7]=>[[1,2,4,8],[3,6,7],[5]]=>18 [4,8,3,2,1,6,7,5]=>[4,3,2,6,8,7,1,5]=>[5,1,7,8,6,2,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>14 [5,6,3,7,8,1,4,2]=>[5,3,6,1,7,8,4,2]=>[2,4,8,7,1,6,3,5]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [5,7,1,4,3,6,2,8]=>[1,5,7,4,3,6,2,8]=>[8,2,6,3,4,7,5,1]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [6,2,8,1,5,4,7,3]=>[6,2,8,5,1,4,7,3]=>[3,7,4,1,5,8,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>15 [7,1,3,4,5,6,2,8]=>[1,3,4,7,5,6,2,8]=>[8,2,6,5,7,4,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>10 [7,2,5,1,3,8,6,4]=>[2,1,3,7,8,5,6,4]=>[4,6,5,8,7,3,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [3,6,2,1,8,7,4,5]=>[3,8,2,6,1,7,4,5]=>[5,4,7,1,6,2,8,3]=>[[1,3,7],[2,5,8],[4,6]]=>12 [1,6,8,5,7,2,4,3]=>[1,8,6,5,7,4,2,3]=>[3,2,4,7,5,6,8,1]=>[[1,3,4,6,7],[2,5],[8]]=>16 [6,5,2,7,8,4,3,1]=>[6,2,5,7,8,4,3,1]=>[1,3,4,8,7,5,2,6]=>[[1,2,3,4,8],[5],[6],[7]]=>19 [7,5,3,6,4,2,1,8]=>[3,5,7,6,4,2,1,8]=>[8,1,2,4,6,7,5,3]=>[[1,3,4,5,6],[2],[7],[8]]=>18 [7,8,4,6,2,5,3,1]=>[4,2,7,8,6,5,3,1]=>[1,3,5,6,8,7,2,4]=>[[1,2,3,4,5],[6,8],[7]]=>23 [2,3,6,5,8,4,7,1]=>[6,8,5,2,3,4,7,1]=>[1,7,4,3,2,5,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [7,3,6,5,1,4,2,8]=>[3,7,6,1,5,4,2,8]=>[8,2,4,5,1,6,7,3]=>[[1,3,4,6,7],[2,8],[5]]=>16 [7,2,6,5,4,1,3,8]=>[7,6,5,2,1,4,3,8]=>[8,3,4,1,2,5,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>16 [1,3,6,7,5,2,4,8]=>[6,7,5,3,1,2,4,8]=>[8,4,2,1,3,5,7,6]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [6,1,5,2,4,3,7,8]=>[6,1,5,2,4,3,7,8]=>[8,7,3,4,2,5,1,6]=>[[1,4,6,8],[2],[3],[5],[7]]=>9 [8,3,6,5,4,1,7,2]=>[6,5,3,1,4,8,7,2]=>[2,7,8,4,1,3,5,6]=>[[1,2,3,8],[4,6,7],[5]]=>19 [6,7,3,5,4,1,8,2]=>[3,6,1,7,5,4,8,2]=>[2,8,4,5,7,1,6,3]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [5,4,7,8,6,1,2,3]=>[5,7,1,8,4,2,6,3]=>[3,6,2,4,8,1,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>18 [4,8,5,7,1,2,3,6]=>[1,8,4,2,7,5,3,6]=>[6,3,5,7,2,4,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [6,2,5,8,1,3,7,4]=>[6,5,2,8,1,3,7,4]=>[4,7,3,1,8,2,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>14 [2,7,5,1,4,6,8,3]=>[2,5,4,7,6,8,1,3]=>[3,1,8,6,7,4,5,2]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [5,8,6,4,3,1,2,7]=>[5,1,8,6,4,3,2,7]=>[7,2,3,4,6,8,1,5]=>[[1,3,4,5,6],[2,8],[7]]=>19 [6,2,5,1,7,8,3,4]=>[2,6,5,7,1,3,8,4]=>[4,8,3,1,7,5,6,2]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [4,2,6,3,1,5,7,8]=>[4,2,6,3,1,5,7,8]=>[8,7,5,1,3,6,2,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [5,8,2,3,1,4,7,6]=>[2,3,1,5,8,7,4,6]=>[6,4,7,8,5,1,3,2]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [5,7,2,1,3,4,6,8]=>[2,1,3,7,5,4,6,8]=>[8,6,4,5,7,3,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [1,2,8,7,3,5,6,4]=>[1,8,5,7,6,2,3,4]=>[4,3,2,6,7,5,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [1,3,8,5,2,6,4,7]=>[8,1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [4,6,3,2,5,8,7,1]=>[6,4,3,8,2,5,7,1]=>[1,7,5,2,8,3,4,6]=>[[1,2,5,7,8],[3,6],[4]]=>14 [4,6,3,2,7,5,8,1]=>[6,4,3,7,2,5,8,1]=>[1,8,5,2,7,3,4,6]=>[[1,2,5,7,8],[3,6],[4]]=>14 [5,8,4,3,2,6,1,7]=>[5,4,3,2,8,6,1,7]=>[7,1,6,8,2,3,4,5]=>[[1,3,4,7,8],[2,6],[5]]=>17 [1,3,6,5,2,4,8,7]=>[6,5,3,8,1,2,4,7]=>[7,4,2,1,8,3,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,5,7,4,8,6,2,3]=>[7,5,8,4,1,6,2,3]=>[3,2,6,1,4,8,5,7]=>[[1,3,6,8],[2,5,7],[4]]=>14 [6,1,5,7,3,8,2,4]=>[6,5,3,7,1,2,8,4]=>[4,8,2,1,7,3,5,6]=>[[1,2,7,8],[3,5],[4,6]]=>14 [7,6,2,3,1,8,5,4]=>[2,3,7,1,6,8,5,4]=>[4,5,8,6,1,7,3,2]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [3,5,1,7,8,6,2,4]=>[5,7,8,3,1,6,2,4]=>[4,2,6,1,3,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>13 [5,2,4,1,7,6,8,3]=>[5,2,7,1,4,6,8,3]=>[3,8,6,4,1,7,2,5]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [8,5,7,6,2,4,1,3]=>[5,8,2,1,7,6,4,3]=>[3,4,6,7,1,2,8,5]=>[[1,2,3,4,7],[5,6,8]]=>23 [1,3,2,5,4,7,6,9,10,8]=>[3,5,7,9,10,1,2,4,6,8]=>[8,6,4,2,1,10,9,7,5,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>5 [1,3,2,5,4,6,8,9,10,7]=>[3,5,8,9,10,1,2,4,6,7]=>[7,6,4,2,1,10,9,8,5,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>5 [1,3,2,4,6,7,5,9,10,8]=>[3,6,7,9,10,1,2,4,5,8]=>[8,5,4,2,1,10,9,7,6,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>5 [1,3,2,4,6,5,8,9,10,7]=>[3,6,8,9,10,1,2,4,5,7]=>[7,5,4,2,1,10,9,8,6,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>5 [1,3,2,4,5,7,8,9,10,6]=>[3,7,8,9,10,1,2,4,5,6]=>[6,5,4,2,1,10,9,8,7,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>5 [1,2,4,5,3,7,6,9,10,8]=>[4,5,7,9,10,1,2,3,6,8]=>[8,6,3,2,1,10,9,7,5,4]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>5 [1,2,4,5,3,6,8,9,10,7]=>[4,5,8,9,10,1,2,3,6,7]=>[7,6,3,2,1,10,9,8,5,4]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>5 [1,2,4,3,6,7,5,9,10,8]=>[4,6,7,9,10,1,2,3,5,8]=>[8,5,3,2,1,10,9,7,6,4]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>5 [1,2,4,3,6,5,8,9,10,7]=>[4,6,8,9,10,1,2,3,5,7]=>[7,5,3,2,1,10,9,8,6,4]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>5 [1,2,4,3,5,7,8,9,10,6]=>[4,7,8,9,10,1,2,3,5,6]=>[6,5,3,2,1,10,9,8,7,4]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>5 [1,2,3,5,6,7,4,9,10,8]=>[5,6,7,9,10,1,2,3,4,8]=>[8,4,3,2,1,10,9,7,6,5]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>5 [1,2,3,5,6,4,8,9,10,7]=>[5,6,8,9,10,1,2,3,4,7]=>[7,4,3,2,1,10,9,8,6,5]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>5 [1,2,3,5,4,7,8,9,10,6]=>[5,7,8,9,10,1,2,3,4,6]=>[6,4,3,2,1,10,9,8,7,5]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>5 [1,3,2,5,4,7,6,9,8,11,12,10]=>[3,5,7,9,11,12,1,2,4,6,8,10]=>[10,8,6,4,2,1,12,11,9,7,5,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,3,2,5,4,7,6,8,10,11,12,9]=>[3,5,7,10,11,12,1,2,4,6,8,9]=>[9,8,6,4,2,1,12,11,10,7,5,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,3,2,5,4,6,8,9,7,11,12,10]=>[3,5,8,9,11,12,1,2,4,6,7,10]=>[10,7,6,4,2,1,12,11,9,8,5,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,3,2,5,4,6,8,7,10,11,12,9]=>[3,5,8,10,11,12,1,2,4,6,7,9]=>[9,7,6,4,2,1,12,11,10,8,5,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,3,2,5,4,6,7,9,10,11,12,8]=>[3,5,9,10,11,12,1,2,4,6,7,8]=>[8,7,6,4,2,1,12,11,10,9,5,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,3,2,4,6,7,5,9,8,11,12,10]=>[3,6,7,9,11,12,1,2,4,5,8,10]=>[10,8,5,4,2,1,12,11,9,7,6,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,3,2,4,6,7,5,8,10,11,12,9]=>[3,6,7,10,11,12,1,2,4,5,8,9]=>[9,8,5,4,2,1,12,11,10,7,6,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,3,2,4,6,5,8,9,7,11,12,10]=>[3,6,8,9,11,12,1,2,4,5,7,10]=>[10,7,5,4,2,1,12,11,9,8,6,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,3,2,4,6,5,8,7,10,11,12,9]=>[3,6,8,10,11,12,1,2,4,5,7,9]=>[9,7,5,4,2,1,12,11,10,8,6,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,3,2,4,6,5,7,9,10,11,12,8]=>[3,6,9,10,11,12,1,2,4,5,7,8]=>[8,7,5,4,2,1,12,11,10,9,6,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,3,2,4,5,7,8,9,6,11,12,10]=>[3,7,8,9,11,12,1,2,4,5,6,10]=>[10,6,5,4,2,1,12,11,9,8,7,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,3,2,4,5,7,8,6,10,11,12,9]=>[3,7,8,10,11,12,1,2,4,5,6,9]=>[9,6,5,4,2,1,12,11,10,8,7,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,3,2,4,5,7,6,9,10,11,12,8]=>[3,7,9,10,11,12,1,2,4,5,6,8]=>[8,6,5,4,2,1,12,11,10,9,7,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,3,2,4,5,6,8,9,10,11,12,7]=>[3,8,9,10,11,12,1,2,4,5,6,7]=>[7,6,5,4,2,1,12,11,10,9,8,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,4,5,3,7,6,9,8,11,12,10]=>[4,5,7,9,11,12,1,2,3,6,8,10]=>[10,8,6,3,2,1,12,11,9,7,5,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,4,5,3,7,6,8,10,11,12,9]=>[4,5,7,10,11,12,1,2,3,6,8,9]=>[9,8,6,3,2,1,12,11,10,7,5,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,4,5,3,6,8,9,7,11,12,10]=>[4,5,8,9,11,12,1,2,3,6,7,10]=>[10,7,6,3,2,1,12,11,9,8,5,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,4,5,3,6,8,7,10,11,12,9]=>[4,5,8,10,11,12,1,2,3,6,7,9]=>[9,7,6,3,2,1,12,11,10,8,5,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,4,5,3,6,7,9,10,11,12,8]=>[4,5,9,10,11,12,1,2,3,6,7,8]=>[8,7,6,3,2,1,12,11,10,9,5,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,4,3,6,7,5,9,8,11,12,10]=>[4,6,7,9,11,12,1,2,3,5,8,10]=>[10,8,5,3,2,1,12,11,9,7,6,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,4,3,6,7,5,8,10,11,12,9]=>[4,6,7,10,11,12,1,2,3,5,8,9]=>[9,8,5,3,2,1,12,11,10,7,6,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,4,3,6,5,8,9,7,11,12,10]=>[4,6,8,9,11,12,1,2,3,5,7,10]=>[10,7,5,3,2,1,12,11,9,8,6,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,4,3,6,5,8,7,10,11,12,9]=>[4,6,8,10,11,12,1,2,3,5,7,9]=>[9,7,5,3,2,1,12,11,10,8,6,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,4,3,6,5,7,9,10,11,12,8]=>[4,6,9,10,11,12,1,2,3,5,7,8]=>[8,7,5,3,2,1,12,11,10,9,6,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,4,3,5,7,8,9,6,11,12,10]=>[4,7,8,9,11,12,1,2,3,5,6,10]=>[10,6,5,3,2,1,12,11,9,8,7,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,4,3,5,7,8,6,10,11,12,9]=>[4,7,8,10,11,12,1,2,3,5,6,9]=>[9,6,5,3,2,1,12,11,10,8,7,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,4,3,5,7,6,9,10,11,12,8]=>[4,7,9,10,11,12,1,2,3,5,6,8]=>[8,6,5,3,2,1,12,11,10,9,7,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,4,3,5,6,8,9,10,11,12,7]=>[4,8,9,10,11,12,1,2,3,5,6,7]=>[7,6,5,3,2,1,12,11,10,9,8,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,3,5,6,7,4,9,8,11,12,10]=>[5,6,7,9,11,12,1,2,3,4,8,10]=>[10,8,4,3,2,1,12,11,9,7,6,5]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,3,5,6,7,4,8,10,11,12,9]=>[5,6,7,10,11,12,1,2,3,4,8,9]=>[9,8,4,3,2,1,12,11,10,7,6,5]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,3,5,6,4,8,9,7,11,12,10]=>[5,6,8,9,11,12,1,2,3,4,7,10]=>[10,7,4,3,2,1,12,11,9,8,6,5]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,3,5,6,4,8,7,10,11,12,9]=>[5,6,8,10,11,12,1,2,3,4,7,9]=>[9,7,4,3,2,1,12,11,10,8,6,5]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,3,5,6,4,7,9,10,11,12,8]=>[5,6,9,10,11,12,1,2,3,4,7,8]=>[8,7,4,3,2,1,12,11,10,9,6,5]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,3,5,4,7,8,9,6,11,12,10]=>[5,7,8,9,11,12,1,2,3,4,6,10]=>[10,6,4,3,2,1,12,11,9,8,7,5]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,3,5,4,7,8,6,10,11,12,9]=>[5,7,8,10,11,12,1,2,3,4,6,9]=>[9,6,4,3,2,1,12,11,10,8,7,5]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,3,5,4,7,6,9,10,11,12,8]=>[5,7,9,10,11,12,1,2,3,4,6,8]=>[8,6,4,3,2,1,12,11,10,9,7,5]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,3,5,4,6,8,9,10,11,12,7]=>[5,8,9,10,11,12,1,2,3,4,6,7]=>[7,6,4,3,2,1,12,11,10,9,8,5]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,3,4,6,7,8,9,5,11,12,10]=>[6,7,8,9,11,12,1,2,3,4,5,10]=>[10,5,4,3,2,1,12,11,9,8,7,6]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,3,4,6,7,8,5,10,11,12,9]=>[6,7,8,10,11,12,1,2,3,4,5,9]=>[9,5,4,3,2,1,12,11,10,8,7,6]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,3,4,6,7,5,9,10,11,12,8]=>[6,7,9,10,11,12,1,2,3,4,5,8]=>[8,5,4,3,2,1,12,11,10,9,7,6]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,3,4,6,5,8,9,10,11,12,7]=>[6,8,9,10,11,12,1,2,3,4,5,7]=>[7,5,4,3,2,1,12,11,10,9,8,6]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [1,2,3,4,5,7,8,9,10,11,12,6]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>6 [8,3,5,6,4,7,1,2]=>[5,6,3,4,1,8,7,2]=>[2,7,8,1,4,3,6,5]=>[[1,2,3],[4,5,7],[6,8]]=>19 [5,7,1,3,4,8,6,2]=>[1,5,3,7,8,4,6,2]=>[2,6,4,8,7,3,5,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [5,4,3,8,1,7,2,6]=>[5,8,4,3,1,7,2,6]=>[6,2,7,1,3,4,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>15 [4,5,7,6,2,1,8,3]=>[7,4,5,2,1,6,8,3]=>[3,8,6,1,2,5,4,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [2,5,7,6,1,8,4,3]=>[7,5,2,6,8,4,1,3]=>[3,1,4,8,6,2,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>14 [4,8,7,2,3,1,6,5]=>[2,4,3,8,7,6,1,5]=>[5,1,6,7,8,3,4,2]=>[[1,3,4,5],[2,6,7],[8]]=>17 [5,6,2,8,3,1,4,7]=>[5,2,6,3,1,8,4,7]=>[7,4,8,1,3,6,2,5]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [3,5,4,7,1,8,2,6]=>[5,7,3,4,1,8,2,6]=>[6,2,8,1,4,3,7,5]=>[[1,3,7],[2,5,8],[4,6]]=>12 [4,3,2,5,8,7,1,6]=>[4,8,3,7,2,5,1,6]=>[6,1,5,2,7,3,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>12 [2,5,4,3,8,7,1,6]=>[5,8,4,7,2,3,1,6]=>[6,1,3,2,7,4,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>12 [5,2,6,4,1,8,3,7]=>[5,6,2,4,1,8,3,7]=>[7,3,8,1,4,2,6,5]=>[[1,3,7],[2,5,8],[4,6]]=>12 [5,2,6,4,7,1,3,8]=>[5,6,2,4,1,7,3,8]=>[8,3,7,1,4,2,6,5]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [4,3,2,7,1,8,6,5]=>[4,7,3,8,2,6,1,5]=>[5,1,6,2,8,3,7,4]=>[[1,3,5,7],[2,4,6],[8]]=>12 [2,5,6,7,3,1,8,4]=>[5,6,2,7,3,8,1,4]=>[4,1,8,3,7,2,6,5]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [5,7,8,3,6,2,4,1]=>[7,5,8,3,2,6,4,1]=>[1,4,6,2,3,8,5,7]=>[[1,2,3,6,8],[4,5,7]]=>21 [7,2,3,1,6,8,4,5]=>[7,2,3,6,1,4,8,5]=>[5,8,4,1,6,3,2,7]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [5,7,8,6,2,1,3,4]=>[7,2,1,8,5,3,6,4]=>[4,6,3,5,8,1,2,7]=>[[1,2,5],[3,4,8],[6,7]]=>19 [6,2,1,3,7,8,5,4]=>[2,6,7,8,1,3,5,4]=>[4,5,3,1,8,7,6,2]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [6,2,3,1,5,7,4,8]=>[2,3,6,1,5,7,4,8]=>[8,4,7,5,1,6,3,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [1,5,4,3,7,2,6,8]=>[5,4,7,3,1,2,6,8]=>[8,6,2,1,3,7,4,5]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [1,5,3,8,7,2,6,4]=>[8,7,5,1,3,6,2,4]=>[4,2,6,3,1,5,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>12 [1,6,4,2,7,3,8,5]=>[6,4,1,2,7,8,3,5]=>[5,3,8,7,2,1,4,6]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [4,3,2,1,8,9,7,6,5]=>[4,8,9,3,7,2,6,1,5]=>[5,1,6,2,7,3,9,8,4]=>[[1,3,5,7],[2,4,6,8],[9]]=>15 [4,8,2,5,1,6,3,7]=>[2,4,1,5,8,6,3,7]=>[7,3,6,8,5,1,4,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [5,8,1,2,4,6,3,7]=>[5,1,2,4,8,6,3,7]=>[7,3,6,8,4,2,1,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [5,1,7,3,6,4,2,8]=>[5,7,1,6,3,4,2,8]=>[8,2,4,3,6,1,7,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [6,3,1,7,5,4,2,8]=>[6,7,1,3,5,4,2,8]=>[8,2,4,5,3,1,7,6]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [9,8,2,3,4,5,6,1,7]=>[2,3,4,5,6,1,9,8,7]=>[7,8,9,1,6,5,4,3,2]=>[[1,2,3],[4,5],[6],[7],[8],[9]]=>20 [10,9,2,3,4,5,6,7,1,8]=>[2,3,4,5,6,7,1,10,9,8]=>[8,9,10,1,7,6,5,4,3,2]=>[[1,2,3],[4,5],[6],[7],[8],[9],[10]]=>23 [7,3,4,8,5,6,2,1]=>[7,3,4,5,8,6,2,1]=>[1,2,6,8,5,4,3,7]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [5,7,3,2,4,6,8,1]=>[3,2,7,5,4,6,8,1]=>[1,8,6,4,5,7,2,3]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [4,5,7,8,2,3,6,1]=>[7,8,4,2,5,3,6,1]=>[1,6,3,5,2,4,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>17 [3,4,5,7,8,2,1,6]=>[7,8,3,4,5,2,1,6]=>[6,1,2,5,4,3,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [7,6,1,2,8,4,5,3]=>[7,6,1,2,4,8,5,3]=>[3,5,8,4,2,1,6,7]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [3,6,5,7,1,2,8,4]=>[6,5,1,7,3,8,2,4]=>[4,2,8,3,7,1,5,6]=>[[1,3,5,8],[2,4],[6,7]]=>13 [1,6,5,8,2,7,3,4]=>[6,5,1,8,2,7,3,4]=>[4,3,7,2,8,1,5,6]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [1,7,4,8,3,5,6,2]=>[7,4,3,5,8,6,1,2]=>[2,1,6,8,5,3,4,7]=>[[1,3,4,8],[2,5,7],[6]]=>14 [7,5,2,8,3,6,1,4]=>[5,2,3,7,1,8,6,4]=>[4,6,8,1,7,3,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [4,6,2,3,8,1,7,5]=>[6,4,2,8,3,7,1,5]=>[5,1,7,3,8,2,4,6]=>[[1,3,5,8],[2,4,7],[6]]=>13 [6,2,8,4,7,3,1,5]=>[6,8,4,2,3,1,7,5]=>[5,7,1,3,2,4,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>17 [1,7,5,6,8,3,2,4]=>[5,1,7,6,8,3,2,4]=>[4,2,3,8,6,7,1,5]=>[[1,3,4,6],[2,5],[7,8]]=>15 [5,2,4,8,3,7,6,1]=>[8,5,2,4,7,3,6,1]=>[1,6,3,7,4,2,5,8]=>[[1,2,4,7,8],[3,5],[6]]=>15 [7,6,8,3,5,4,1,2]=>[3,7,6,1,8,5,4,2]=>[2,4,5,8,1,6,7,3]=>[[1,2,3,4,7],[5,6],[8]]=>23 [5,3,1,4,8,6,2,7]=>[5,1,3,8,4,6,2,7]=>[7,2,6,4,8,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [8,3,4,1,5,6,2,7]=>[3,1,4,5,6,2,8,7]=>[7,8,2,6,5,4,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>13 [5,2,4,8,3,1,6,7]=>[2,5,8,4,3,1,6,7]=>[7,6,1,3,4,8,5,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [8,7,3,5,4,1,6,2]=>[5,3,1,4,8,7,6,2]=>[2,6,7,8,4,1,3,5]=>[[1,2,3,4],[5,7,8],[6]]=>21 [6,3,8,4,1,7,5,2]=>[6,3,8,1,4,7,5,2]=>[2,5,7,4,1,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>17 [1,5,6,2,8,7,3,4]=>[8,1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1,8]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [2,7,8,3,6,4,1,5]=>[7,2,3,8,6,4,1,5]=>[5,1,4,6,8,3,2,7]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [8,5,3,1,7,6,2,4]=>[8,1,3,5,2,7,6,4]=>[4,6,7,2,5,3,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [7,3,2,6,1,8,4,5]=>[7,3,2,6,1,4,8,5]=>[5,8,4,1,6,2,3,7]=>[[1,2,7,8],[3,5],[4,6]]=>14 [6,2,7,1,3,8,4,5]=>[2,1,6,7,3,4,8,5]=>[5,8,4,3,7,6,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>12 [7,4,8,3,1,6,5,2]=>[1,7,4,8,3,6,5,2]=>[2,5,6,3,8,4,7,1]=>[[1,2,3,5],[4,6,7],[8]]=>19 [5,8,4,2,7,6,1,3]=>[2,5,8,7,4,1,6,3]=>[3,6,1,4,7,8,5,2]=>[[1,2,5,6],[3,4,7],[8]]=>19 [7,9,10,8,6,5,4,3,2,1]=>[9,10,7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7,10,9]=>[[1,2,3,4,5,6,7,9],[8,10]]=>41 [5,4,8,2,3,7,1,6]=>[2,8,5,4,7,3,1,6]=>[6,1,3,7,4,5,8,2]=>[[1,3,4,6,7],[2,5],[8]]=>16 [2,6,1,5,8,3,7,4]=>[6,2,5,8,1,7,3,4]=>[4,3,7,1,8,5,2,6]=>[[1,3,5],[2,6,8],[4,7]]=>11 [1,2,4,7,8,3,6,5]=>[7,4,8,6,1,2,3,5]=>[5,3,2,1,6,8,4,7]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [2,7,8,1,3,4,6,5]=>[2,1,3,7,8,6,4,5]=>[5,4,6,8,7,3,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [8,1,6,3,5,4,2,7]=>[6,3,5,4,1,2,8,7]=>[7,8,2,1,4,5,3,6]=>[[1,2,6,8],[3,5],[4,7]]=>15 [8,1,2,5,3,6,4,7]=>[1,5,6,2,3,4,8,7]=>[7,8,4,3,2,6,5,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>10 [2,6,8,1,3,4,7,5]=>[2,1,6,8,3,7,4,5]=>[5,4,7,3,8,6,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [2,3,5,7,6,1,4,8]=>[7,5,6,2,3,1,4,8]=>[8,4,1,3,2,6,5,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [3,6,8,2,5,4,1,7]=>[3,8,6,5,2,4,1,7]=>[7,1,4,2,5,6,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>15 [5,2,3,6,4,7,8,1]=>[2,3,5,6,4,7,8,1]=>[1,8,7,4,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>11 [6,4,8,7,3,5,1,2]=>[8,4,6,3,1,7,5,2]=>[2,5,7,1,3,6,4,8]=>[[1,2,3,8],[4,5,6],[7]]=>21 [6,1,4,2,3,5,7,8]=>[1,4,2,3,6,5,7,8]=>[8,7,5,6,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>7 [5,2,6,1,3,8,4,7]=>[5,2,6,1,3,8,4,7]=>[7,4,8,3,1,6,2,5]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [4,5,2,7,8,3,6,1]=>[4,5,7,2,8,3,6,1]=>[1,6,3,8,2,7,5,4]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [8,5,4,1,7,3,2,6]=>[1,5,4,8,3,2,7,6]=>[6,7,2,3,8,4,5,1]=>[[1,2,5,7],[3,4,6],[8]]=>18 [4,7,6,3,2,8,5,1]=>[7,6,4,3,8,2,5,1]=>[1,5,2,8,3,4,6,7]=>[[1,2,4,6,7,8],[3,5]]=>18 [5,7,6,3,8,2,4,1]=>[7,5,3,6,2,8,4,1]=>[1,4,8,2,6,3,5,7]=>[[1,2,3,7,8],[4,5],[6]]=>20 [6,8,4,7,1,2,5,3]=>[1,6,4,8,2,7,5,3]=>[3,5,7,2,8,4,6,1]=>[[1,2,3,5],[4,6,7],[8]]=>19 [1,3,7,6,8,4,5,2]=>[7,6,3,8,4,5,1,2]=>[2,1,5,4,8,3,6,7]=>[[1,3,5,8],[2,4,7],[6]]=>13 [6,1,5,7,2,8,3,4]=>[1,6,5,7,2,3,8,4]=>[4,8,3,2,7,5,6,1]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [2,5,4,8,7,6,1,3]=>[8,5,7,4,6,2,1,3]=>[3,1,2,6,4,7,5,8]=>[[1,3,4,6,8],[2,5,7]]=>15 [1,8,7,6,3,5,4,2]=>[8,3,7,6,5,4,1,2]=>[2,1,4,5,6,7,3,8]=>[[1,3,4,5,6,8],[2,7]]=>19 [7,2,4,1,8,5,3,6]=>[4,7,2,5,1,3,8,6]=>[6,8,3,1,5,2,7,4]=>[[1,2,7],[3,5,8],[4,6]]=>13 [7,3,2,1,4,6,8,5]=>[3,2,7,1,4,6,8,5]=>[5,8,6,4,1,7,2,3]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [3,7,2,1,4,6,8,5]=>[3,2,7,1,6,8,4,5]=>[5,4,8,6,1,7,2,3]=>[[1,3,6],[2,4,8],[5,7]]=>10 [4,7,2,6,1,8,3,5]=>[4,2,7,6,1,8,3,5]=>[5,3,8,1,6,7,2,4]=>[[1,3,6],[2,5,8],[4,7]]=>14 [6,8,5,3,2,1,7,4]=>[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[[1,2,4,5],[3,7,8],[6]]=>19 [7,5,3,2,1,6,8,4]=>[3,2,1,5,7,6,8,4]=>[4,8,6,7,5,1,2,3]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [1,4,8,3,2,6,7,5]=>[4,3,6,8,7,1,2,5]=>[5,2,1,7,8,6,3,4]=>[[1,4,5],[2,6,8],[3,7]]=>10 [8,7,1,3,4,6,5,2]=>[8,1,3,7,4,6,5,2]=>[2,5,6,4,7,3,1,8]=>[[1,2,3,5,8],[4],[6],[7]]=>18 [7,4,6,1,3,5,8,2]=>[4,1,7,3,6,5,8,2]=>[2,8,5,6,3,7,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [6,8,1,3,4,2,5,7]=>[3,4,1,2,8,6,5,7]=>[7,5,6,8,2,1,4,3]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [6,1,3,5,2,4,8,7]=>[6,3,1,2,5,8,4,7]=>[7,4,8,5,2,1,3,6]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [6,1,3,5,8,7,2,4]=>[6,8,3,5,1,2,7,4]=>[4,7,2,1,5,3,8,6]=>[[1,2,7],[3,5,8],[4,6]]=>13 [4,2,5,7,8,1,3,6]=>[7,8,2,4,1,5,3,6]=>[6,3,5,1,4,2,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [1,3,6,2,5,7,4,8]=>[3,6,5,7,1,2,4,8]=>[8,4,2,1,7,5,6,3]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [2,8,4,6,3,5,7,1]=>[8,4,2,3,6,5,7,1]=>[1,7,5,6,3,2,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [3,6,8,1,4,7,2,5]=>[1,6,8,3,7,4,2,5]=>[5,2,4,7,3,8,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [4,6,8,3,1,2,5,7]=>[1,8,6,4,3,2,5,7]=>[7,5,2,3,4,6,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>14 [2,5,3,6,8,1,4,7]=>[8,2,5,6,3,1,4,7]=>[7,4,1,3,6,5,2,8]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [2,5,7,1,3,6,4,8]=>[5,2,7,1,6,3,4,8]=>[8,4,3,6,1,7,2,5]=>[[1,4,6],[2,7,8],[3],[5]]=>9 [2,8,3,5,7,4,6,1]=>[8,7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7,8]=>[[1,2,4,7,8],[3],[5],[6]]=>15 [1,4,7,2,5,3,6,8]=>[1,4,7,5,2,3,6,8]=>[8,6,3,2,5,7,4,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [4,5,3,1,2,6,8,7]=>[4,1,5,3,8,2,6,7]=>[7,6,2,8,3,5,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [4,5,1,3,8,2,6,7]=>[4,1,5,8,3,2,6,7]=>[7,6,2,3,8,5,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [6,2,1,7,4,3,8,5]=>[6,2,4,1,3,7,8,5]=>[5,8,7,3,1,4,2,6]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [2,4,3,6,7,1,5,8]=>[4,6,7,2,3,1,5,8]=>[8,5,1,3,2,7,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [7,3,5,2,1,6,4,8]=>[3,2,1,7,5,6,4,8]=>[8,4,6,5,7,1,2,3]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [4,6,5,2,1,3,7,8]=>[6,4,2,1,5,3,7,8]=>[8,7,3,5,1,2,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [2,5,6,1,4,3,7,8]=>[5,2,6,4,1,3,7,8]=>[8,7,3,1,4,6,2,5]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [3,6,5,4,1,7,2,8]=>[6,5,3,1,4,7,2,8]=>[8,2,7,4,1,3,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [6,8,7,5,4,2,1,3]=>[8,6,2,1,7,5,4,3]=>[3,4,5,7,1,2,6,8]=>[[1,2,3,4,8],[5,6,7]]=>24 [7,5,4,8,1,3,6,2]=>[1,5,4,7,3,8,6,2]=>[2,6,8,3,7,4,5,1]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [1,8,2,6,7,5,4,3]=>[6,8,7,5,1,4,2,3]=>[3,2,4,1,5,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>15 [2,7,5,1,6,8,3,4]=>[2,5,7,6,1,8,3,4]=>[4,3,8,1,6,7,5,2]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [5,1,8,3,4,7,6,2]=>[1,5,8,7,3,4,6,2]=>[2,6,4,3,7,8,5,1]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [4,1,8,3,5,7,6,2]=>[1,8,4,7,3,5,6,2]=>[2,6,5,3,7,4,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [3,8,4,7,6,2,5,1]=>[8,7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>19 [7,6,1,4,8,3,5,2]=>[4,7,6,1,3,8,5,2]=>[2,5,8,3,1,6,7,4]=>[[1,2,3,7],[4,6],[5,8]]=>18 [8,5,2,7,4,3,6,1]=>[2,5,8,4,3,7,6,1]=>[1,6,7,3,4,8,5,2]=>[[1,2,3,6],[4,5,7],[8]]=>20 [7,4,2,8,5,3,6,1]=>[7,2,4,5,3,8,6,1]=>[1,6,8,3,5,4,2,7]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [7,3,2,1,6,5,4,8]=>[3,7,2,6,1,5,4,8]=>[8,4,5,1,6,2,7,3]=>[[1,3,5,7],[2,6,8],[4]]=>12 [7,2,6,1,4,3,5,8]=>[2,7,1,4,3,6,5,8]=>[8,5,6,3,4,1,7,2]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [6,2,1,8,5,3,4,7]=>[2,6,1,8,3,5,4,7]=>[7,4,5,3,8,1,6,2]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [3,8,6,1,2,4,5,7]=>[1,3,2,8,4,6,5,7]=>[7,5,6,4,8,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [5,3,2,1,8,7,4,6]=>[3,8,2,5,1,7,4,6]=>[6,4,7,1,5,2,8,3]=>[[1,3,7],[2,5,8],[4,6]]=>12 [1,8,4,7,2,3,5,6]=>[1,8,2,4,3,7,5,6]=>[6,5,7,3,4,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>12 [3,8,1,6,2,5,4,7]=>[3,8,1,6,2,5,4,7]=>[7,4,5,2,6,1,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [3,8,1,4,2,7,6,5]=>[8,1,3,4,7,6,2,5]=>[5,2,6,7,4,3,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [3,2,8,1,7,5,4,6]=>[8,3,2,7,5,1,4,6]=>[6,4,1,5,7,2,3,8]=>[[1,4,5,8],[2,6,7],[3]]=>12 [1,6,8,2,7,3,4,5]=>[1,6,2,8,3,7,4,5]=>[5,4,7,3,8,2,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [6,5,1,2,4,7,3,8]=>[6,1,2,5,4,7,3,8]=>[8,3,7,4,5,2,1,6]=>[[1,3,5,8],[2],[4],[6],[7]]=>11 [6,1,5,7,2,3,4,8]=>[1,6,5,2,3,7,4,8]=>[8,4,7,3,2,5,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [2,1,5,7,6,3,4,8]=>[7,5,6,2,1,3,4,8]=>[8,4,3,1,2,6,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [2,5,6,3,7,1,4,8]=>[5,2,6,7,3,1,4,8]=>[8,4,1,3,7,6,2,5]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [4,2,3,6,7,8,5,1]=>[2,4,6,7,8,3,5,1]=>[1,5,3,8,7,6,4,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [1,6,5,7,3,2,4,8]=>[1,6,5,7,3,2,4,8]=>[8,4,2,3,7,5,6,1]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [8,3,6,5,7,2,4,1]=>[8,3,6,5,2,7,4,1]=>[1,4,7,2,5,6,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>21 [4,1,2,6,7,8,5,3]=>[6,7,8,1,2,4,5,3]=>[3,5,4,2,1,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [3,6,2,4,5,7,8,1]=>[3,2,6,4,5,7,8,1]=>[1,8,7,5,4,6,2,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [8,4,7,1,3,5,6,2]=>[1,8,4,3,5,7,6,2]=>[2,6,7,5,3,4,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [4,8,3,5,6,2,1,7]=>[4,3,5,8,6,2,1,7]=>[7,1,2,6,8,5,3,4]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [1,8,6,7,2,4,5,3]=>[6,1,4,8,7,5,2,3]=>[3,2,5,7,8,4,1,6]=>[[1,3,4,5],[2,6,8],[7]]=>16 [1,7,8,6,2,4,5,3]=>[7,1,4,8,6,5,2,3]=>[3,2,5,6,8,4,1,7]=>[[1,3,4,5],[2,6,8],[7]]=>16 [7,6,8,5,1,3,4,2]=>[7,1,6,3,8,5,4,2]=>[2,4,5,8,3,6,1,7]=>[[1,2,3,4,8],[5,6],[7]]=>22 [3,6,8,1,4,5,7,2]=>[6,3,1,8,4,5,7,2]=>[2,7,5,4,8,1,3,6]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [5,1,4,6,3,7,2,8]=>[5,4,6,1,3,7,2,8]=>[8,2,7,3,1,6,4,5]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [1,5,4,7,8,3,6,2]=>[5,7,8,4,3,6,1,2]=>[2,1,6,3,4,8,7,5]=>[[1,3,5,6],[2,4,7],[8]]=>13 [2,5,4,7,8,3,6,1]=>[5,7,8,4,2,3,6,1]=>[1,6,3,2,4,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>14 [5,2,4,7,8,3,6,1]=>[5,7,8,2,4,3,6,1]=>[1,6,3,4,2,8,7,5]=>[[1,2,4,6],[3,7],[5,8]]=>15 [5,1,4,7,8,3,6,2]=>[5,7,8,4,1,3,6,2]=>[2,6,3,1,4,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>14 [3,8,6,1,2,7,5,4]=>[1,3,6,8,7,5,2,4]=>[4,2,5,7,8,6,3,1]=>[[1,3,4,5],[2,6],[7],[8]]=>15 [7,1,2,5,6,8,4,3]=>[5,7,6,8,1,2,4,3]=>[3,4,2,1,8,6,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>13 [6,1,4,3,7,2,8,5]=>[4,3,6,1,2,7,8,5]=>[5,8,7,2,1,6,3,4]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [5,6,4,1,7,3,8,2]=>[1,5,6,4,7,3,8,2]=>[2,8,3,7,4,6,5,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>15 [4,3,7,8,2,5,1,6]=>[7,8,4,3,2,5,1,6]=>[6,1,5,2,3,4,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>15 [7,1,4,6,2,8,5,3]=>[1,7,4,6,8,2,5,3]=>[3,5,2,8,6,4,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [7,1,4,5,8,6,3,2]=>[4,5,7,8,6,1,3,2]=>[2,3,1,6,8,7,5,4]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [1,7,4,5,6,8,3,2]=>[4,5,7,6,8,3,1,2]=>[2,1,3,8,6,7,5,4]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [7,2,4,5,6,8,3,1]=>[2,4,7,5,6,8,3,1]=>[1,3,8,6,5,7,4,2]=>[[1,2,3,6],[4],[5],[7],[8]]=>16 [2,7,4,5,6,8,3,1]=>[4,5,7,6,8,2,3,1]=>[1,3,2,8,6,7,5,4]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [5,7,4,3,1,6,8,2]=>[1,7,5,4,3,6,8,2]=>[2,8,6,3,4,5,7,1]=>[[1,2,5,6,7],[3],[4],[8]]=>16 [5,4,1,6,3,8,2,7]=>[5,1,4,6,8,3,2,7]=>[7,2,3,8,6,4,1,5]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [3,7,4,5,8,1,6,2]=>[3,4,7,5,8,1,6,2]=>[2,6,1,8,5,7,4,3]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [1,4,6,5,8,2,7,3]=>[6,4,5,8,1,7,2,3]=>[3,2,7,1,8,5,4,6]=>[[1,3,5],[2,6,8],[4,7]]=>11 [4,7,3,5,1,2,8,6]=>[4,3,1,7,5,8,2,6]=>[6,2,8,5,7,1,3,4]=>[[1,3,5],[2,4,8],[6,7]]=>13 [1,6,4,2,3,5,8,7]=>[1,6,2,4,8,3,5,7]=>[7,5,3,8,4,2,6,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [4,8,3,5,2,1,6,7]=>[4,3,5,2,1,8,6,7]=>[7,6,8,1,2,5,3,4]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [8,7,1,5,6,4,2,3]=>[8,1,7,5,2,6,4,3]=>[3,4,6,2,5,7,1,8]=>[[1,2,3,6,8],[4,5],[7]]=>21 [6,8,2,1,3,7,5,4]=>[2,8,1,3,6,7,5,4]=>[4,5,7,6,3,1,8,2]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [8,2,3,6,7,5,4,1]=>[6,8,7,2,3,5,4,1]=>[1,4,5,3,2,7,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>18 [8,7,3,6,2,4,5,1]=>[3,2,8,4,7,6,5,1]=>[1,5,6,7,4,8,2,3]=>[[1,2,3,4,6],[5,8],[7]]=>22 [4,7,1,6,8,2,3,5]=>[4,1,7,6,2,8,3,5]=>[5,3,8,2,6,7,1,4]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [4,6,5,8,2,3,7,1]=>[6,8,4,2,5,3,7,1]=>[1,7,3,5,2,4,8,6]=>[[1,2,4,7],[3,6,8],[5]]=>17 [7,1,8,2,4,5,3,6]=>[1,7,4,5,2,3,8,6]=>[6,8,3,2,5,4,7,1]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [5,7,8,2,3,4,1,6]=>[2,7,3,8,5,4,1,6]=>[6,1,4,5,8,3,7,2]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [5,6,1,2,8,7,3,4]=>[8,1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [6,5,7,2,3,8,1,4]=>[2,6,5,3,7,1,8,4]=>[4,8,1,7,3,5,6,2]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [3,7,5,4,6,2,1,8]=>[7,3,5,4,6,2,1,8]=>[8,1,2,6,4,5,3,7]=>[[1,3,4,6,8],[2],[5],[7]]=>15 [1,4,7,5,3,6,8,2]=>[4,7,5,3,6,8,1,2]=>[2,1,8,6,3,5,7,4]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [8,7,1,6,2,4,3,5]=>[8,1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [4,1,8,2,7,6,3,5]=>[8,4,1,7,2,6,3,5]=>[5,3,6,2,7,1,4,8]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [3,8,5,1,7,6,2,4]=>[5,8,3,1,7,6,2,4]=>[4,2,6,7,1,3,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>16 [3,8,5,7,6,2,1,4]=>[8,5,7,6,3,2,1,4]=>[4,1,2,3,6,7,5,8]=>[[1,3,4,5,6,8],[2,7]]=>19 [8,2,7,3,6,4,1,5]=>[2,8,3,7,4,1,6,5]=>[5,6,1,4,7,3,8,2]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [8,6,2,1,3,7,4,5]=>[2,6,1,3,4,8,7,5]=>[5,7,8,4,3,1,6,2]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [4,7,3,2,6,5,1,8]=>[4,3,7,6,2,5,1,8]=>[8,1,5,2,6,7,3,4]=>[[1,3,5,6],[2,7,8],[4]]=>14 [4,3,7,8,2,1,6,5]=>[7,8,4,3,2,6,1,5]=>[5,1,6,2,3,4,8,7]=>[[1,3,5,6,7],[2,4,8]]=>15 [7,3,8,2,5,1,6,4]=>[3,7,2,1,8,5,6,4]=>[4,6,5,8,1,2,7,3]=>[[1,2,4],[3,6,7],[5,8]]=>17 [7,3,8,4,5,1,2,6]=>[3,7,4,1,5,2,8,6]=>[6,8,2,5,1,4,7,3]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [4,8,7,5,1,2,6,3]=>[1,4,2,8,7,5,6,3]=>[3,6,5,7,8,2,4,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [7,8,6,2,1,4,3,5]=>[2,7,1,4,3,8,6,5]=>[5,6,8,3,4,1,7,2]=>[[1,2,3],[4,5,7],[6,8]]=>19 [3,7,6,4,1,5,2,8]=>[3,1,7,6,4,5,2,8]=>[8,2,5,4,6,7,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [8,6,3,1,2,7,5,4]=>[3,1,8,2,6,7,5,4]=>[4,5,7,6,2,8,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [3,1,2,5,8,7,6,4]=>[8,7,1,3,5,6,2,4]=>[4,2,6,5,3,1,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [7,3,1,2,8,6,5,4]=>[7,8,1,3,6,2,5,4]=>[4,5,2,6,3,1,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>14 [8,3,7,6,4,1,2,5]=>[3,1,8,7,4,2,6,5]=>[5,6,2,4,7,8,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>20 [5,1,6,4,8,3,2,7]=>[5,6,8,4,1,3,2,7]=>[7,2,3,1,4,8,6,5]=>[[1,3,5,6],[2,7],[4,8]]=>13 [4,6,8,5,2,3,1,7]=>[8,6,4,2,5,3,1,7]=>[7,1,3,5,2,4,6,8]=>[[1,3,4,7,8],[2,6],[5]]=>17 [8,7,1,3,2,6,5,4]=>[8,3,7,1,2,6,5,4]=>[4,5,6,2,1,7,3,8]=>[[1,2,3,6,8],[4,7],[5]]=>17 [8,7,1,3,2,4,5,6]=>[3,1,2,4,5,8,7,6]=>[6,7,8,5,4,2,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [4,1,3,6,5,7,2,8]=>[4,6,1,3,5,7,2,8]=>[8,2,7,5,3,1,6,4]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [4,1,3,5,7,2,8,6]=>[4,7,1,3,5,8,2,6]=>[6,2,8,5,3,1,7,4]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [5,1,8,2,4,6,3,7]=>[5,1,2,8,4,6,3,7]=>[7,3,6,4,8,2,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [6,8,2,1,4,5,7,3]=>[6,2,1,4,8,5,7,3]=>[3,7,5,8,4,1,2,6]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [6,1,2,3,4,5,8,7,10,9]=>[1,2,3,4,6,8,10,5,7,9]=>[9,7,5,10,8,6,4,3,2,1]=>[[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>7 [5,2,4,6,7,3,1,8]=>[5,2,4,6,7,3,1,8]=>[8,1,3,7,6,4,2,5]=>[[1,3,4,8],[2],[5],[6],[7]]=>12 [4,7,1,3,5,8,2,6]=>[4,1,3,7,8,5,2,6]=>[6,2,5,8,7,3,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [4,3,1,2,6,5,7,8]=>[1,4,3,6,2,5,7,8]=>[8,7,5,2,6,3,4,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [2,5,1,7,3,6,4,8]=>[2,5,7,1,6,3,4,8]=>[8,4,3,6,1,7,5,2]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [3,6,4,1,5,8,2,7]=>[3,1,6,8,4,5,2,7]=>[7,2,5,4,8,6,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [7,2,4,8,3,5,6,1]=>[7,4,2,3,5,8,6,1]=>[1,6,8,5,3,2,4,7]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [7,1,2,4,3,6,8,5]=>[4,7,1,2,3,6,8,5]=>[5,8,6,3,2,1,7,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [7,1,4,5,8,3,6,2]=>[1,7,8,4,5,3,6,2]=>[2,6,3,5,4,8,7,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [7,3,6,5,1,2,4,8]=>[1,7,6,3,2,5,4,8]=>[8,4,5,2,3,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [7,5,8,1,2,4,3,6]=>[1,2,5,7,4,3,8,6]=>[6,8,3,4,7,5,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [3,5,8,1,4,2,6,7]=>[3,8,1,5,4,2,6,7]=>[7,6,2,4,5,1,8,3]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [5,8,3,1,2,6,7,4]=>[5,3,1,8,2,6,7,4]=>[4,7,6,2,8,1,3,5]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [5,7,1,6,3,4,8,2]=>[7,5,1,3,6,4,8,2]=>[2,8,4,6,3,1,5,7]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [3,5,2,1,6,7,4,8]=>[5,3,2,6,7,1,4,8]=>[8,4,1,7,6,2,3,5]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [6,2,5,1,4,3,7,8]=>[2,6,5,1,4,3,7,8]=>[8,7,3,4,1,5,6,2]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [6,4,1,3,8,5,2,7]=>[4,6,1,3,8,5,2,7]=>[7,2,5,8,3,1,6,4]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [7,1,4,3,8,5,2,6]=>[4,7,3,5,1,2,8,6]=>[6,8,2,1,5,3,7,4]=>[[1,2,7],[3,5,8],[4,6]]=>13 [5,3,1,4,6,7,2,8]=>[1,3,5,4,6,7,2,8]=>[8,2,7,6,4,5,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>9 [6,5,1,3,4,7,2,8]=>[1,6,3,5,4,7,2,8]=>[8,2,7,4,5,3,6,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [6,5,1,2,4,3,7,8]=>[6,1,2,5,4,3,7,8]=>[8,7,3,4,5,2,1,6]=>[[1,4,5,8],[2],[3],[6],[7]]=>10 [3,8,6,4,1,5,7,2]=>[3,1,8,4,6,5,7,2]=>[2,7,5,6,4,8,1,3]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [8,7,1,4,5,2,3,6]=>[4,1,5,2,3,8,7,6]=>[6,7,8,3,2,5,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [3,7,6,4,5,1,2,8]=>[3,7,6,4,1,5,2,8]=>[8,2,5,1,4,6,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [7,4,6,3,1,2,8,5]=>[1,7,4,3,2,6,8,5]=>[5,8,6,2,3,4,7,1]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [4,6,2,5,7,8,1,3]=>[4,6,2,5,7,1,8,3]=>[3,8,1,7,5,2,6,4]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [4,6,3,5,7,1,2,8]=>[6,4,3,5,1,7,2,8]=>[8,2,7,1,5,3,4,6]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [4,7,3,5,8,6,1,2]=>[4,3,7,8,5,1,6,2]=>[2,6,1,5,8,7,3,4]=>[[1,2,5],[3,4,6],[7,8]]=>17 [4,8,3,5,7,1,6,2]=>[4,3,5,8,7,1,6,2]=>[2,6,1,7,8,5,3,4]=>[[1,2,4,5],[3,6,8],[7]]=>17 [4,8,2,5,6,7,1,3]=>[4,2,8,5,6,1,7,3]=>[3,7,1,6,5,8,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>16 [1,4,7,2,6,5,8,3]=>[7,4,6,1,5,8,2,3]=>[3,2,8,5,1,6,4,7]=>[[1,3,6,8],[2,4],[5,7]]=>10 [1,5,7,2,6,4,8,3]=>[7,1,5,6,4,8,2,3]=>[3,2,8,4,6,5,1,7]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [1,2,7,8,3,5,4,6]=>[1,2,7,8,5,3,4,6]=>[6,4,3,5,8,7,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [6,1,4,5,8,2,3,7]=>[6,8,1,4,2,5,3,7]=>[7,3,5,2,4,1,8,6]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [1,2,7,8,3,4,6,5]=>[1,2,7,8,6,3,4,5]=>[5,4,3,6,8,7,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>9 [7,6,2,5,8,4,1,3]=>[7,6,2,5,1,8,4,3]=>[3,4,8,1,5,2,6,7]=>[[1,2,3,7,8],[4,5],[6]]=>20 [3,4,1,7,8,6,5,2]=>[7,8,3,6,1,4,5,2]=>[2,5,4,1,6,3,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>13 [5,1,3,4,8,2,7,6]=>[5,1,8,3,4,7,2,6]=>[6,2,7,4,3,8,1,5]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [6,5,1,8,3,4,7,2]=>[6,1,8,3,5,4,7,2]=>[2,7,4,5,3,8,1,6]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [8,2,1,5,6,4,7,3]=>[2,5,8,6,1,4,7,3]=>[3,7,4,1,6,8,5,2]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [7,5,6,1,3,4,8,2]=>[5,1,3,7,6,4,8,2]=>[2,8,4,6,7,3,1,5]=>[[1,2,4,5],[3,8],[6],[7]]=>17 [5,7,2,4,6,1,8,3]=>[5,2,7,4,1,6,8,3]=>[3,8,6,1,4,7,2,5]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [3,2,7,5,8,6,4,1]=>[3,7,8,5,6,2,4,1]=>[1,4,2,6,5,8,7,3]=>[[1,2,4,6],[3,5,7],[8]]=>15 [7,2,5,4,3,8,6,1]=>[5,4,2,3,7,8,6,1]=>[1,6,8,7,3,2,4,5]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [8,4,3,7,1,6,2,5]=>[8,4,3,1,7,2,6,5]=>[5,6,2,7,1,3,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>18 [8,4,7,3,1,2,6,5]=>[1,4,3,8,7,2,6,5]=>[5,6,2,7,8,3,4,1]=>[[1,2,4,5],[3,6,7],[8]]=>18 [1,8,7,3,5,2,6,4]=>[8,1,5,3,7,6,2,4]=>[4,2,6,7,3,5,1,8]=>[[1,3,4,8],[2,5,6],[7]]=>15 [4,8,1,6,2,5,7,3]=>[1,4,8,6,2,5,7,3]=>[3,7,5,2,6,8,4,1]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [2,4,8,3,6,5,7,1]=>[2,8,4,6,3,5,7,1]=>[1,7,5,3,6,4,8,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [2,8,3,6,1,5,7,4]=>[2,6,3,5,8,7,1,4]=>[4,1,7,8,5,3,6,2]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [2,4,1,8,6,5,7,3]=>[4,8,6,2,5,7,1,3]=>[3,1,7,5,2,6,8,4]=>[[1,3,6,7],[2,4,8],[5]]=>11 [3,4,2,8,6,5,7,1]=>[3,8,4,6,2,5,7,1]=>[1,7,5,2,6,4,8,3]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [1,4,8,2,6,5,7,3]=>[4,8,6,1,5,7,2,3]=>[3,2,7,5,1,6,8,4]=>[[1,3,6,7],[2,4],[5,8]]=>11 [1,3,8,4,6,5,2,7]=>[8,3,4,6,5,1,2,7]=>[7,2,1,5,6,4,3,8]=>[[1,4,5,8],[2,6],[3],[7]]=>10 [4,6,7,8,5,2,1,3]=>[6,7,8,4,2,1,5,3]=>[3,5,1,2,4,8,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>19 [4,7,2,1,8,6,5,3]=>[4,7,8,2,6,1,5,3]=>[3,5,1,6,2,8,7,4]=>[[1,2,4,6],[3,5,7],[8]]=>15 [5,6,2,8,4,1,7,3]=>[8,2,5,1,6,4,7,3]=>[3,7,4,6,1,5,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [5,7,2,4,8,6,1,3]=>[5,2,7,8,4,1,6,3]=>[3,6,1,4,8,7,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>17 [6,7,2,4,8,5,1,3]=>[6,2,4,7,1,8,5,3]=>[3,5,8,1,7,4,2,6]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [6,7,3,2,8,5,1,4]=>[3,2,6,7,1,8,5,4]=>[4,5,8,1,7,6,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [7,2,3,8,4,6,1,5]=>[2,7,8,3,4,1,6,5]=>[5,6,1,4,3,8,7,2]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [7,2,8,4,5,3,1,6]=>[4,7,5,2,3,1,8,6]=>[6,8,1,3,2,5,7,4]=>[[1,2,6,7],[3,4],[5,8]]=>17 [2,8,6,4,3,1,7,5]=>[6,2,4,3,8,7,1,5]=>[5,1,7,8,3,4,2,6]=>[[1,3,4,8],[2,5,6],[7]]=>15 [1,5,8,3,4,6,2,7]=>[3,5,4,8,6,1,2,7]=>[7,2,1,6,8,4,5,3]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [1,3,8,4,2,5,7,6]=>[1,3,8,4,7,2,5,6]=>[6,5,2,7,4,8,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [2,7,4,5,1,8,6,3]=>[4,5,2,7,8,6,1,3]=>[3,1,6,8,7,2,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [1,4,2,3,7,8,6,5]=>[7,8,1,4,6,2,3,5]=>[5,3,2,6,4,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [6,7,1,2,4,8,3,5]=>[6,1,2,4,7,3,8,5]=>[5,8,3,7,4,2,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [3,2,4,8,5,6,1,7]=>[3,2,8,4,5,6,1,7]=>[7,1,6,5,4,8,2,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [3,8,4,6,2,7,1,5]=>[6,3,4,8,7,2,1,5]=>[5,1,2,7,8,4,3,6]=>[[1,3,4,5],[2,6,8],[7]]=>16 [3,1,7,4,5,2,6,8]=>[7,3,1,4,5,2,6,8]=>[8,6,2,5,4,1,3,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [7,3,4,8,1,2,6,5]=>[7,3,1,4,8,2,6,5]=>[5,6,2,8,4,1,3,7]=>[[1,2,4],[3,5,8],[6,7]]=>15 [5,7,1,6,4,8,3,2]=>[7,5,6,1,4,8,3,2]=>[2,3,8,4,1,6,5,7]=>[[1,2,3,6,8],[4,7],[5]]=>17 [1,5,8,6,7,4,3,2]=>[5,8,6,7,4,3,1,2]=>[2,1,3,4,7,6,8,5]=>[[1,3,4,5,7],[2,6],[8]]=>17 [1,7,8,4,5,6,3,2]=>[4,7,5,8,6,3,1,2]=>[2,1,3,6,8,5,7,4]=>[[1,3,4,5],[2,6,7],[8]]=>17 [1,2,6,3,5,7,4,8]=>[6,1,5,7,2,3,4,8]=>[8,4,3,2,7,5,1,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>5 [4,6,3,7,5,1,2,8]=>[6,4,7,3,1,5,2,8]=>[8,2,5,1,3,7,4,6]=>[[1,3,6,8],[2,5,7],[4]]=>14 [7,4,5,8,1,3,6,2]=>[4,1,5,7,3,8,6,2]=>[2,6,8,3,7,5,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [1,7,8,6,4,2,5,3]=>[1,7,4,8,6,5,2,3]=>[3,2,5,6,8,4,7,1]=>[[1,3,4,5],[2,6,7],[8]]=>17 [7,2,5,8,4,6,1,3]=>[7,8,2,5,4,1,6,3]=>[3,6,1,4,5,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>18 [8,7,1,6,4,2,5,3]=>[1,2,8,7,4,6,5,3]=>[3,5,6,4,7,8,2,1]=>[[1,2,3,5,6],[4],[7],[8]]=>20 [1,4,3,6,2,5,8,7]=>[4,6,3,8,1,2,5,7]=>[7,5,2,1,8,3,6,4]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [1,4,6,3,2,5,8,7]=>[6,4,3,8,1,2,5,7]=>[7,5,2,1,8,3,4,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [1,4,6,3,2,8,5,7]=>[6,4,8,3,1,2,5,7]=>[7,5,2,1,3,8,4,6]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [5,2,6,7,4,1,8,3]=>[5,6,7,2,1,4,8,3]=>[3,8,4,1,2,7,6,5]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [7,8,3,1,6,4,5,2]=>[7,1,3,4,8,6,5,2]=>[2,5,6,8,4,3,1,7]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [8,1,4,6,2,5,7,3]=>[4,8,1,2,6,5,7,3]=>[3,7,5,6,2,1,8,4]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [5,2,6,8,1,4,3,7]=>[8,5,2,6,1,4,3,7]=>[7,3,4,1,6,2,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>13 [6,7,3,8,2,1,4,5]=>[3,6,2,1,7,4,8,5]=>[5,8,4,7,1,2,6,3]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [2,6,3,7,4,5,8,1]=>[6,2,3,7,4,5,8,1]=>[1,8,5,4,7,3,2,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [2,7,3,6,4,5,8,1]=>[2,7,3,6,4,5,8,1]=>[1,8,5,4,6,3,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>13 [2,7,3,1,5,8,6,4]=>[2,3,5,7,8,6,1,4]=>[4,1,6,8,7,5,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [2,7,3,5,4,1,8,6]=>[7,2,3,5,4,8,1,6]=>[6,1,8,4,5,3,2,7]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [2,6,3,7,4,1,8,5]=>[6,2,3,7,4,8,1,5]=>[5,1,8,4,7,3,2,6]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [2,7,3,1,5,4,8,6]=>[2,3,7,1,5,8,4,6]=>[6,4,8,5,1,7,3,2]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [4,6,3,1,7,2,8,5]=>[6,4,3,1,7,8,2,5]=>[5,2,8,7,1,3,4,6]=>[[1,3,7,8],[2,4],[5,6]]=>12 [7,2,6,3,1,8,5,4]=>[2,3,7,6,8,1,5,4]=>[4,5,1,8,6,7,3,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [7,2,6,1,3,8,5,4]=>[2,7,1,6,8,3,5,4]=>[4,5,3,8,6,1,7,2]=>[[1,2,4,7],[3,5],[6,8]]=>14 [3,7,4,2,6,5,8,1]=>[3,4,7,6,2,5,8,1]=>[1,8,5,2,6,7,4,3]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [5,4,8,7,1,3,6,2]=>[8,5,4,1,7,3,6,2]=>[2,6,3,7,1,4,5,8]=>[[1,2,4,7,8],[3,6],[5]]=>18 [2,8,5,7,1,6,4,3]=>[5,8,2,7,6,4,1,3]=>[3,1,4,6,7,2,8,5]=>[[1,3,4,5,7],[2,6,8]]=>17 [6,3,1,5,2,8,7,4]=>[3,1,6,8,2,5,7,4]=>[4,7,5,2,8,6,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [7,6,4,2,5,3,8,1]=>[2,4,7,6,5,3,8,1]=>[1,8,3,5,6,7,4,2]=>[[1,2,4,5,6],[3],[7],[8]]=>19 [7,4,5,1,2,6,8,3]=>[1,4,2,5,7,6,8,3]=>[3,8,6,7,5,2,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [4,7,6,8,5,2,1,3]=>[7,6,8,4,2,1,5,3]=>[3,5,1,2,4,8,6,7]=>[[1,2,5,6,8],[3,4,7]]=>20 [4,7,6,8,5,2,3,1]=>[7,6,8,4,2,5,3,1]=>[1,3,5,2,4,8,6,7]=>[[1,2,3,6,8],[4,5,7]]=>21 [7,4,5,1,2,6,3,8]=>[1,4,2,5,7,6,3,8]=>[8,3,6,7,5,2,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [4,3,1,8,7,6,2,5]=>[8,4,7,3,1,6,2,5]=>[5,2,6,1,3,7,4,8]=>[[1,3,6,8],[2,5,7],[4]]=>14 [5,4,6,1,8,2,7,3]=>[1,5,4,6,8,2,7,3]=>[3,7,2,8,6,4,5,1]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [5,6,4,2,8,1,7,3]=>[5,2,6,4,8,1,7,3]=>[3,7,1,8,4,6,2,5]=>[[1,2,4],[3,5,6],[7,8]]=>16 [6,4,3,7,8,1,5,2]=>[4,3,6,1,7,8,5,2]=>[2,5,8,7,1,6,3,4]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [2,4,6,7,1,5,3,8]=>[6,7,4,2,5,1,3,8]=>[8,3,1,5,2,4,7,6]=>[[1,4,6,7],[2,5,8],[3]]=>10 [5,4,3,1,8,6,7,2]=>[5,4,1,8,3,6,7,2]=>[2,7,6,3,8,1,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [5,4,3,6,1,7,8,2]=>[5,4,3,1,6,7,8,2]=>[2,8,7,6,1,3,4,5]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [3,2,7,8,5,6,1,4]=>[7,3,8,5,6,2,1,4]=>[4,1,2,6,5,8,3,7]=>[[1,3,4,6],[2,5,8],[7]]=>15 [4,8,3,2,1,7,5,6]=>[4,3,8,2,1,7,5,6]=>[6,5,7,1,2,8,3,4]=>[[1,3,6,8],[2,5,7],[4]]=>14 [7,4,3,6,1,8,5,2]=>[4,3,7,1,6,8,5,2]=>[2,5,8,6,1,7,3,4]=>[[1,2,3,6],[4,7,8],[5]]=>17 [4,7,6,1,5,8,2,3]=>[7,4,6,1,5,2,8,3]=>[3,8,2,5,1,6,4,7]=>[[1,2,6,8],[3,4],[5,7]]=>16 [2,4,7,6,3,5,8,1]=>[7,6,4,2,3,5,8,1]=>[1,8,5,3,2,4,6,7]=>[[1,2,6,7,8],[3],[4],[5]]=>13 [4,7,6,5,1,8,2,3]=>[4,7,6,1,5,2,8,3]=>[3,8,2,5,1,6,7,4]=>[[1,2,6,7],[3,4],[5,8]]=>17 [2,1,4,7,8,3,6,5]=>[7,2,8,4,6,1,3,5]=>[5,3,1,6,4,8,2,7]=>[[1,4,6],[2,5,8],[3,7]]=>9 [1,6,5,4,8,7,2,3]=>[6,5,8,4,1,7,2,3]=>[3,2,7,1,4,8,5,6]=>[[1,3,6,8],[2,5,7],[4]]=>14 [1,4,6,5,8,7,2,3]=>[6,8,4,5,1,7,2,3]=>[3,2,7,1,5,4,8,6]=>[[1,3,7],[2,5,8],[4,6]]=>12 [8,5,1,7,4,6,3,2]=>[8,7,1,5,4,6,3,2]=>[2,3,6,4,5,1,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>20 [3,6,7,8,4,1,5,2]=>[6,7,3,1,8,4,5,2]=>[2,5,4,8,1,3,7,6]=>[[1,2,4],[3,6,7],[5,8]]=>17 [2,3,7,8,4,6,1,5]=>[2,7,8,6,3,4,1,5]=>[5,1,4,3,6,8,7,2]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [3,1,7,8,4,6,2,5]=>[3,7,8,6,1,4,2,5]=>[5,2,4,1,6,8,7,3]=>[[1,3,5,6],[2,7],[4,8]]=>13 [4,8,7,3,6,1,2,5]=>[4,1,8,7,6,3,2,5]=>[5,2,3,6,7,8,1,4]=>[[1,3,4,5,6],[2,8],[7]]=>19 [5,8,4,3,7,1,2,6]=>[5,4,1,8,7,3,2,6]=>[6,2,3,7,8,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>18 [5,6,4,8,7,2,1,3]=>[5,6,8,4,2,1,7,3]=>[3,7,1,2,4,8,6,5]=>[[1,2,5,6],[3,4,7],[8]]=>19 [7,2,6,8,3,5,1,4]=>[2,7,6,8,3,1,5,4]=>[4,5,1,3,8,6,7,2]=>[[1,2,5,7],[3,4,6],[8]]=>18 [7,2,8,6,5,3,1,4]=>[7,2,8,6,3,1,5,4]=>[4,5,1,3,6,8,2,7]=>[[1,2,5,6],[3,4,8],[7]]=>20 [2,8,4,7,1,3,6,5]=>[2,1,8,7,4,6,3,5]=>[5,3,6,4,7,8,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>14 [3,7,1,4,5,6,2,8]=>[3,1,7,4,5,6,2,8]=>[8,2,6,5,4,7,1,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [3,6,1,4,5,2,7,8]=>[6,3,1,4,5,2,7,8]=>[8,7,2,5,4,1,3,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [3,8,2,4,5,1,7,6]=>[3,2,4,5,8,7,1,6]=>[6,1,7,8,5,4,2,3]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [3,7,2,1,5,6,4,8]=>[3,2,5,7,6,1,4,8]=>[8,4,1,6,7,5,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [3,6,8,1,5,4,7,2]=>[6,3,8,5,1,4,7,2]=>[2,7,4,1,5,8,3,6]=>[[1,2,5,6],[3,7,8],[4]]=>15 [1,3,6,5,7,2,4,8]=>[6,5,7,3,1,2,4,8]=>[8,4,2,1,3,7,5,6]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [1,7,4,6,2,5,3,8]=>[4,7,1,6,5,2,3,8]=>[8,3,2,5,6,1,7,4]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [1,6,8,5,4,3,7,2]=>[8,6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6,8]=>[[1,3,5,6,7,8],[2,4]]=>16 [6,5,8,4,2,1,3,7]=>[6,2,1,8,5,4,3,7]=>[7,3,4,5,8,1,2,6]=>[[1,3,4,5],[2,7,8],[6]]=>18 [6,8,5,3,2,4,1,7]=>[3,2,8,6,5,4,1,7]=>[7,1,4,5,6,8,2,3]=>[[1,3,4,5,6],[2,8],[7]]=>19 [4,6,1,8,7,5,3,2]=>[8,6,7,1,4,5,3,2]=>[2,3,5,4,1,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>17 [1,4,7,8,3,2,6,5]=>[7,4,3,8,6,1,2,5]=>[5,2,1,6,8,3,4,7]=>[[1,4,5,8],[2,6,7],[3]]=>12 [3,8,5,1,2,7,6,4]=>[1,5,8,3,7,6,2,4]=>[4,2,6,7,3,8,5,1]=>[[1,3,4,6],[2,5,7],[8]]=>14 [1,3,7,6,8,5,2,4]=>[7,6,8,5,3,1,2,4]=>[4,2,1,3,5,8,6,7]=>[[1,4,5,6,8],[2,7],[3]]=>13 [3,8,1,7,2,4,6,5]=>[1,3,8,7,2,6,4,5]=>[5,4,6,2,7,8,3,1]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [6,7,8,3,1,2,5,4]=>[1,6,3,2,7,8,5,4]=>[4,5,8,7,2,3,6,1]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [1,7,6,8,5,3,4,2]=>[7,6,3,8,5,4,1,2]=>[2,1,4,5,8,3,6,7]=>[[1,3,4,5,8],[2,6,7]]=>18 [4,1,7,8,6,5,2,3]=>[7,8,6,4,1,2,5,3]=>[3,5,2,1,4,6,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>16 [6,5,1,7,3,2,4,8]=>[6,5,1,3,2,7,4,8]=>[8,4,7,2,3,1,5,6]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [4,7,8,5,2,3,6,1]=>[7,4,2,8,5,3,6,1]=>[1,6,3,5,8,2,4,7]=>[[1,2,4,5],[3,7,8],[6]]=>19 [3,1,7,8,6,5,2,4]=>[7,8,6,3,1,5,2,4]=>[4,2,5,1,3,6,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>15 [3,6,2,1,7,8,4,5]=>[3,2,6,7,1,8,4,5]=>[5,4,8,1,7,6,2,3]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [5,7,1,8,3,2,4,6]=>[7,1,5,3,2,8,4,6]=>[6,4,8,2,3,5,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [5,3,2,7,8,4,1,6]=>[3,5,7,2,8,4,1,6]=>[6,1,4,8,2,7,5,3]=>[[1,3,4],[2,6],[5,7],[8]]=>14 [4,5,1,3,7,6,2,8]=>[1,4,5,7,3,6,2,8]=>[8,2,6,3,7,5,4,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [1,5,4,3,8,6,2,7]=>[5,8,4,3,6,1,2,7]=>[7,2,1,6,3,4,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>10 [1,7,4,5,8,2,3,6]=>[7,8,1,4,2,5,3,6]=>[6,3,5,2,4,1,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [1,3,7,5,8,4,6,2]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>12 [1,7,6,4,2,3,8,5]=>[1,7,2,6,4,8,3,5]=>[5,3,8,4,6,2,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [1,6,2,5,7,4,3,8]=>[6,5,7,1,4,2,3,8]=>[8,3,2,4,1,7,5,6]=>[[1,4,6,8],[2,7],[3],[5]]=>9 [3,5,7,1,6,4,2,8]=>[5,7,3,6,1,4,2,8]=>[8,2,4,1,6,3,7,5]=>[[1,3,5,7],[2,6,8],[4]]=>12 [3,7,5,6,1,4,2,8]=>[5,3,7,6,1,4,2,8]=>[8,2,4,1,6,7,3,5]=>[[1,3,5,6],[2,7,8],[4]]=>14 [1,7,5,6,3,4,8,2]=>[5,3,7,6,4,8,1,2]=>[2,1,8,4,6,7,3,5]=>[[1,3,5,6],[2,4,8],[7]]=>14 [5,7,2,6,8,4,3,1]=>[7,2,5,6,8,4,3,1]=>[1,3,4,8,6,5,2,7]=>[[1,2,3,4,8],[5],[6],[7]]=>19 [1,6,2,7,8,5,4,3]=>[6,7,8,5,1,4,2,3]=>[3,2,4,1,5,8,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>13 [3,5,6,8,1,7,4,2]=>[5,6,8,3,7,1,4,2]=>[2,4,1,7,3,8,6,5]=>[[1,2,4,6],[3,5,7],[8]]=>15 [1,6,7,4,5,3,2,8]=>[6,4,7,5,3,1,2,8]=>[8,2,1,3,5,7,4,6]=>[[1,4,5,6],[2,7,8],[3]]=>13 [1,4,7,5,6,3,2,8]=>[4,7,5,6,3,1,2,8]=>[8,2,1,3,6,5,7,4]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [7,2,6,3,5,4,1,8]=>[7,2,6,3,5,4,1,8]=>[8,1,4,5,3,6,2,7]=>[[1,3,4,6,8],[2],[5],[7]]=>15 [1,6,7,3,5,4,2,8]=>[3,6,7,5,4,1,2,8]=>[8,2,1,4,5,7,6,3]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [1,8,2,4,6,5,3,7]=>[8,1,6,2,4,5,3,7]=>[7,3,5,4,2,6,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>10 [3,2,1,5,4,8,6,7]=>[3,8,2,5,1,4,6,7]=>[7,6,4,1,5,2,8,3]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [1,3,5,4,2,8,6,7]=>[5,8,3,4,1,2,6,7]=>[7,6,2,1,4,3,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>6 [8,5,7,3,2,6,4,1]=>[5,3,8,2,7,6,4,1]=>[1,4,6,7,2,8,3,5]=>[[1,2,3,4,6],[5,7,8]]=>22 [7,5,2,3,6,8,1,4]=>[2,3,5,7,6,1,8,4]=>[4,8,1,6,7,5,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [5,8,2,3,1,7,6,4]=>[2,5,8,3,7,1,6,4]=>[4,6,1,7,3,8,5,2]=>[[1,2,4,6],[3,5,7],[8]]=>15 [6,8,2,5,4,1,7,3]=>[2,6,1,8,5,4,7,3]=>[3,7,4,5,8,1,6,2]=>[[1,2,4,5],[3,7],[6,8]]=>18 [6,8,2,1,3,7,4,5]=>[2,6,1,3,8,4,7,5]=>[5,7,4,8,3,1,6,2]=>[[1,2,4],[3,7],[5,8],[6]]=>14 [6,1,7,8,2,3,5,4]=>[1,6,2,7,8,3,5,4]=>[4,5,3,8,7,2,6,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [8,5,1,6,2,4,7,3]=>[1,5,6,2,4,8,7,3]=>[3,7,8,4,2,6,5,1]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [8,5,6,2,3,7,1,4]=>[2,5,3,6,1,8,7,4]=>[4,7,8,1,6,3,5,2]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [1,8,4,6,2,3,7,5]=>[1,8,2,6,4,7,3,5]=>[5,3,7,4,6,2,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [1,8,3,2,6,5,7,4]=>[8,1,3,6,5,7,2,4]=>[4,2,7,5,6,3,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [8,4,2,6,5,7,1,3]=>[6,2,4,5,1,8,7,3]=>[3,7,8,1,5,4,2,6]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [4,2,7,8,1,5,3,6]=>[7,4,2,8,1,5,3,6]=>[6,3,5,1,8,2,4,7]=>[[1,3,5,8],[2,6,7],[4]]=>13 [4,1,3,6,5,8,2,7]=>[4,6,8,1,3,5,2,7]=>[7,2,5,3,1,8,6,4]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [4,3,7,1,5,8,2,6]=>[1,7,4,8,3,5,2,6]=>[6,2,5,3,8,4,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [2,8,1,3,4,6,5,7]=>[2,8,1,3,4,6,5,7]=>[7,5,6,4,3,1,8,2]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [3,8,4,5,7,6,1,2]=>[8,3,4,7,5,1,6,2]=>[2,6,1,5,7,4,3,8]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [2,8,3,4,6,1,7,5]=>[6,2,3,4,8,7,1,5]=>[5,1,7,8,4,3,2,6]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [6,5,3,4,1,7,2,8]=>[3,1,6,5,4,7,2,8]=>[8,2,7,4,5,6,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [1,5,6,4,7,8,2,3]=>[5,6,4,7,1,8,2,3]=>[3,2,8,1,7,4,6,5]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [1,2,4,8,7,5,6,3]=>[4,8,7,5,6,1,2,3]=>[3,2,1,6,5,7,8,4]=>[[1,4,6,7],[2,5],[3,8]]=>10 [2,5,4,8,6,1,3,7]=>[8,5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>12 [1,8,6,5,2,7,4,3]=>[6,1,5,8,7,4,2,3]=>[3,2,4,7,8,5,1,6]=>[[1,3,4,5],[2,6,8],[7]]=>16 [2,7,3,4,8,6,1,5]=>[7,8,2,3,6,4,1,5]=>[5,1,4,6,3,2,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [7,2,6,4,1,8,5,3]=>[2,1,7,6,8,4,5,3]=>[3,5,4,8,6,7,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>16 [1,7,2,8,6,5,4,3]=>[7,8,6,5,1,4,2,3]=>[3,2,4,1,5,6,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>15 [7,2,4,5,1,8,6,3]=>[2,4,1,7,8,5,6,3]=>[3,6,5,8,7,1,4,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [6,2,7,4,3,5,1,8]=>[6,4,2,3,7,5,1,8]=>[8,1,5,7,3,2,4,6]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [7,3,4,8,2,6,5,1]=>[7,3,4,8,2,6,5,1]=>[1,5,6,2,8,4,3,7]=>[[1,2,3,5],[4,6,8],[7]]=>18 [6,8,2,3,4,5,7,1]=>[2,3,4,8,6,5,7,1]=>[1,7,5,6,8,4,3,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>16 [5,8,2,7,1,4,6,3]=>[5,8,2,1,7,4,6,3]=>[3,6,4,7,1,2,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>17 [7,3,8,2,4,5,1,6]=>[3,2,7,4,5,1,8,6]=>[6,8,1,5,4,7,2,3]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [5,7,2,3,8,6,4,1]=>[2,5,7,8,3,6,4,1]=>[1,4,6,3,8,7,5,2]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [4,5,8,7,3,6,2,1]=>[8,7,4,5,3,6,2,1]=>[1,2,6,3,5,4,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>20 [6,8,7,2,1,5,4,3]=>[2,8,1,6,7,5,4,3]=>[3,4,5,7,6,1,8,2]=>[[1,2,3,4,7],[5,8],[6]]=>20 [6,7,3,5,4,2,8,1]=>[3,6,7,5,4,2,8,1]=>[1,8,2,4,5,7,6,3]=>[[1,2,4,5,6],[3],[7],[8]]=>19 [6,5,1,7,3,8,4,2]=>[6,5,1,3,7,8,4,2]=>[2,4,8,7,3,1,5,6]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [7,8,6,2,5,4,3,1]=>[7,8,2,6,5,4,3,1]=>[1,3,4,5,6,2,8,7]=>[[1,2,3,4,5,7],[6,8]]=>24 [8,1,6,3,7,5,4,2]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>18 [7,8,4,6,5,3,2,1]=>[4,7,8,6,5,3,2,1]=>[1,2,3,5,6,8,7,4]=>[[1,2,3,4,5,6],[7],[8]]=>25 [2,7,5,8,6,4,3,1]=>[5,7,8,6,4,2,3,1]=>[1,3,2,4,6,8,7,5]=>[[1,2,4,5,6],[3,7],[8]]=>19 [1,2,7,3,4,5,8,9,6]=>[1,2,3,7,8,9,4,5,6]=>[6,5,4,9,8,7,3,2,1]=>[[1,4],[2,5],[3,6],[7],[8],[9]]=>6 [2,4,5,1,7,6,8,3]=>[4,5,7,2,6,8,1,3]=>[3,1,8,6,2,7,5,4]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [6,3,4,2,7,1,8,5]=>[3,4,2,6,1,7,8,5]=>[5,8,7,1,6,2,4,3]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [6,1,3,5,7,2,8,4]=>[6,3,5,1,2,7,8,4]=>[4,8,7,2,1,5,3,6]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [5,1,3,6,7,2,8,4]=>[3,5,6,1,2,7,8,4]=>[4,8,7,2,1,6,5,3]=>[[1,2],[3,6],[4,7],[5],[8]]=>10 [5,1,3,6,7,4,8,2]=>[1,5,6,7,3,4,8,2]=>[2,8,4,3,7,6,5,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [3,2,4,6,7,1,8,5]=>[3,6,7,2,4,8,1,5]=>[5,1,8,4,2,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [2,8,1,5,6,4,3,7]=>[2,8,5,6,1,4,3,7]=>[7,3,4,1,6,5,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [2,6,8,3,4,7,5,1]=>[2,6,8,3,7,4,5,1]=>[1,5,4,7,3,8,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [6,1,5,7,4,3,8,2]=>[6,5,7,4,1,3,8,2]=>[2,8,3,1,4,7,5,6]=>[[1,2,5,6,8],[3,7],[4]]=>15 [6,8,3,4,7,5,1,2]=>[3,6,8,4,1,7,5,2]=>[2,5,7,1,4,8,6,3]=>[[1,2,3,6],[4,5,7],[8]]=>20 [6,8,3,7,4,2,5,1]=>[6,3,8,4,2,7,5,1]=>[1,5,7,2,4,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>21 [2,6,7,5,8,4,1,3]=>[6,7,5,8,4,2,1,3]=>[3,1,2,4,8,5,7,6]=>[[1,3,4,5,7],[2,6],[8]]=>17 [1,6,7,5,8,4,2,3]=>[6,7,5,1,8,4,2,3]=>[3,2,4,8,1,5,7,6]=>[[1,3,4,7],[2,6],[5,8]]=>16 [6,4,2,8,1,5,3,7]=>[4,2,1,6,8,5,3,7]=>[7,3,5,8,6,1,2,4]=>[[1,3,4],[2,5,8],[6,7]]=>14 [6,8,4,7,3,2,5,1]=>[6,8,4,3,2,7,5,1]=>[1,5,7,2,3,4,8,6]=>[[1,2,3,6,7],[4,5,8]]=>22 [5,8,7,3,2,1,6,4]=>[5,3,2,8,7,1,6,4]=>[4,6,1,7,8,2,3,5]=>[[1,2,4,5],[3,6,7,8]]=>19 [5,8,7,2,6,4,3,1]=>[8,5,7,2,6,4,3,1]=>[1,3,4,6,2,7,5,8]=>[[1,2,3,4,6,8],[5,7]]=>22 [6,8,7,3,5,1,4,2]=>[6,3,8,1,7,5,4,2]=>[2,4,5,7,1,8,3,6]=>[[1,2,3,4,6],[5,7,8]]=>22 [6,2,5,7,8,3,1,4]=>[6,5,7,2,3,1,8,4]=>[4,8,1,3,2,7,5,6]=>[[1,2,6,8],[3,4],[5,7]]=>16 [7,5,3,6,8,2,4,1]=>[3,5,7,6,2,8,4,1]=>[1,4,8,2,6,7,5,3]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [4,2,7,3,1,6,8,5]=>[2,7,4,3,6,8,1,5]=>[5,1,8,6,3,4,7,2]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [7,3,6,4,2,1,8,5]=>[3,7,4,2,1,6,8,5]=>[5,8,6,1,2,4,7,3]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [6,4,3,1,8,5,2,7]=>[4,3,1,6,8,5,2,7]=>[7,2,5,8,6,1,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>14 [7,4,3,1,5,8,6,2]=>[1,4,3,5,7,8,6,2]=>[2,6,8,7,5,3,4,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>15 [7,4,8,6,5,3,1,2]=>[7,8,4,1,6,5,3,2]=>[2,3,5,6,1,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>23 [4,8,5,2,6,7,3,1]=>[4,2,5,8,6,7,3,1]=>[1,3,7,6,8,5,2,4]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [2,1,3,4,5,9,6,7,8]=>[2,1,9,3,4,5,6,7,8]=>[8,7,6,5,4,3,9,1,2]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>4 [1,5,7,2,4,3,8,6]=>[7,1,5,4,8,2,3,6]=>[6,3,2,8,4,5,1,7]=>[[1,4,6,8],[2,5],[3],[7]]=>9 [5,1,3,8,2,7,4,6]=>[5,8,3,1,2,7,4,6]=>[6,4,7,2,1,3,8,5]=>[[1,3,7],[2,6,8],[4],[5]]=>11 [5,7,1,3,2,8,4,6]=>[1,7,3,5,2,8,4,6]=>[6,4,8,2,5,3,7,1]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [8,1,6,3,2,4,7,5]=>[3,1,2,4,8,6,7,5]=>[5,7,6,8,4,2,1,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [8,1,6,3,2,7,4,5]=>[3,8,1,2,6,4,7,5]=>[5,7,4,6,2,1,8,3]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [8,2,1,7,6,3,4,5]=>[2,1,8,7,3,4,6,5]=>[5,6,4,3,7,8,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [6,8,4,3,5,1,2,7]=>[4,3,1,8,6,5,2,7]=>[7,2,5,6,8,1,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>18 [8,7,3,5,4,1,2,6]=>[5,3,1,4,2,8,7,6]=>[6,7,8,2,4,1,3,5]=>[[1,2,3],[4,5,8],[6,7]]=>20 [6,3,8,5,7,2,1,4]=>[8,6,3,5,2,1,7,4]=>[4,7,1,2,5,3,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>19 [8,7,2,3,5,1,4,6]=>[5,2,3,1,4,8,7,6]=>[6,7,8,4,1,3,2,5]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [8,7,2,4,3,1,5,6]=>[4,2,3,1,5,8,7,6]=>[6,7,8,5,1,3,2,4]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [7,6,2,3,1,4,8,5]=>[2,3,1,4,7,6,8,5]=>[5,8,6,7,4,1,3,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [4,7,6,5,2,3,1,8]=>[7,6,4,2,5,3,1,8]=>[8,1,3,5,2,4,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>17 [3,7,6,1,2,5,4,8]=>[1,3,7,6,5,2,4,8]=>[8,4,2,5,6,7,3,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [2,7,3,4,8,1,5,6]=>[7,2,3,4,1,8,5,6]=>[6,5,8,1,4,3,2,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [4,7,6,2,3,1,5,8]=>[2,7,6,4,3,1,5,8]=>[8,5,1,3,4,6,7,2]=>[[1,4,5,6,7],[2],[3],[8]]=>14 [5,1,6,4,8,7,2,3]=>[5,6,8,4,1,2,7,3]=>[3,7,2,1,4,8,6,5]=>[[1,2,6],[3,5,7],[4,8]]=>14 [2,7,6,4,3,8,1,5]=>[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[[1,3,4,6,8],[2,5],[7]]=>15 [4,7,6,1,3,2,8,5]=>[7,1,6,4,3,8,2,5]=>[5,2,8,3,4,6,1,7]=>[[1,3,5,6,8],[2,4],[7]]=>14 [7,2,5,8,6,1,3,4]=>[7,8,2,1,5,3,6,4]=>[4,6,3,5,1,2,8,7]=>[[1,2,7],[3,4,8],[5,6]]=>17 [6,7,3,8,1,4,2,5]=>[3,1,6,7,4,2,8,5]=>[5,8,2,4,7,6,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [4,1,3,6,2,5,8,7]=>[4,6,1,3,8,2,5,7]=>[7,5,2,8,3,1,6,4]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [7,1,4,6,3,2,5,8]=>[7,4,3,1,2,6,5,8]=>[8,5,6,2,1,3,4,7]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [1,2,5,6,8,4,3,7]=>[8,5,6,4,1,2,3,7]=>[7,3,2,1,4,6,5,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [2,5,6,4,7,8,1,3]=>[5,6,4,7,8,2,1,3]=>[3,1,2,8,7,4,6,5]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [6,3,5,2,1,7,8,4]=>[6,3,2,1,5,7,8,4]=>[4,8,7,5,1,2,3,6]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [6,1,5,3,2,7,8,4]=>[6,1,3,2,5,7,8,4]=>[4,8,7,5,2,3,1,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [7,4,5,8,6,2,3,1]=>[4,5,7,2,8,6,3,1]=>[1,3,6,8,2,7,5,4]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [2,3,4,7,8,5,1,6]=>[7,2,8,3,4,5,1,6]=>[6,1,5,4,3,8,2,7]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [5,2,4,7,8,3,1,6]=>[5,7,8,2,4,3,1,6]=>[6,1,3,4,2,8,7,5]=>[[1,3,4,6],[2,7],[5,8]]=>14 [5,6,1,3,4,8,7,2]=>[5,1,3,6,8,4,7,2]=>[2,7,4,8,6,3,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [5,6,1,3,8,2,7,4]=>[5,1,3,6,8,2,7,4]=>[4,7,2,8,6,3,1,5]=>[[1,2,4],[3,5,8],[6],[7]]=>13 [5,3,1,2,6,8,7,4]=>[1,3,8,2,5,6,7,4]=>[4,7,6,5,2,8,3,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>10 [6,4,7,8,1,3,2,5]=>[4,1,6,7,3,2,8,5]=>[5,8,2,3,7,6,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [6,7,2,3,8,4,1,5]=>[2,3,6,7,4,1,8,5]=>[5,8,1,4,7,6,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [1,4,5,6,2,8,7,3]=>[4,5,8,1,6,7,2,3]=>[3,2,7,6,1,8,5,4]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [7,3,4,8,1,5,2,6]=>[3,4,7,1,5,2,8,6]=>[6,8,2,5,1,7,4,3]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [1,5,2,6,8,7,4,3]=>[8,5,6,7,1,4,2,3]=>[3,2,4,1,7,6,5,8]=>[[1,3,5,8],[2,6],[4,7]]=>11 [1,2,3,4,5,6,8,9,7,10]=>[8,9,1,2,3,4,5,6,7,10]=>[10,7,6,5,4,3,2,1,9,8]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>2 [1,8,3,7,5,2,6,4]=>[8,1,7,5,3,6,2,4]=>[4,2,6,3,5,7,1,8]=>[[1,3,5,6,8],[2,4],[7]]=>14 [7,1,3,8,5,2,6,4]=>[1,7,8,3,2,5,6,4]=>[4,6,5,2,3,8,7,1]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [7,4,1,5,2,6,8,3]=>[4,1,2,5,7,6,8,3]=>[3,8,6,7,5,2,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [3,1,6,7,5,2,8,4]=>[6,7,3,1,5,8,2,4]=>[4,2,8,5,1,3,7,6]=>[[1,3,7],[2,4,8],[5,6]]=>11 [8,6,2,4,5,1,7,3]=>[2,6,4,1,5,8,7,3]=>[3,7,8,5,1,4,6,2]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [8,6,7,5,2,1,4,3]=>[2,1,6,8,7,5,4,3]=>[3,4,5,7,8,6,1,2]=>[[1,2,3,4,5],[6,8],[7]]=>23 [3,1,6,4,2,8,7,5]=>[3,6,8,1,4,7,2,5]=>[5,2,7,4,1,8,6,3]=>[[1,3,6],[2,4,7],[5,8]]=>9 [5,3,1,8,7,6,2,4]=>[8,7,1,3,5,2,6,4]=>[4,6,2,5,3,1,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [6,5,3,1,8,7,2,4]=>[1,3,6,8,5,2,7,4]=>[4,7,2,5,8,6,3,1]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [4,1,7,5,2,8,3,6]=>[7,1,4,5,2,8,3,6]=>[6,3,8,2,5,4,1,7]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [4,1,6,5,2,8,7,3]=>[6,4,8,1,2,5,7,3]=>[3,7,5,2,1,8,4,6]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [4,1,7,6,5,2,8,3]=>[7,6,4,1,2,5,8,3]=>[3,8,5,2,1,4,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [5,7,4,6,3,2,8,1]=>[7,5,4,6,3,2,8,1]=>[1,8,2,3,6,4,5,7]=>[[1,2,4,5,7,8],[3],[6]]=>19 [2,3,6,1,5,7,4,8]=>[2,6,3,5,7,1,4,8]=>[8,4,1,7,5,3,6,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>7 [3,8,5,4,6,1,7,2]=>[5,3,4,1,8,6,7,2]=>[2,7,6,8,1,4,3,5]=>[[1,2,4],[3,6,8],[5],[7]]=>16 [8,4,1,5,6,2,7,3]=>[4,5,1,2,6,8,7,3]=>[3,7,8,6,2,1,5,4]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [8,4,5,3,6,1,7,2]=>[4,5,3,1,6,8,7,2]=>[2,7,8,6,1,3,5,4]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [5,2,3,1,6,7,4,8]=>[2,3,1,5,6,7,4,8]=>[8,4,7,6,5,1,3,2]=>[[1,3],[2,7],[4],[5],[6],[8]]=>8 [2,8,4,7,3,5,6,1]=>[8,2,4,3,7,5,6,1]=>[1,6,5,7,3,4,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [2,6,3,1,7,8,4,5]=>[2,3,6,7,1,8,4,5]=>[5,4,8,1,7,6,3,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>10 [2,1,7,8,3,5,4,6]=>[2,1,7,8,5,3,4,6]=>[6,4,3,5,8,7,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [8,7,1,3,5,2,6,4]=>[8,1,3,2,5,7,6,4]=>[4,6,7,5,2,3,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [4,7,6,5,8,1,3,2]=>[7,6,4,1,5,8,3,2]=>[2,3,8,5,1,4,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>19 [4,7,8,6,2,1,5,3]=>[7,4,2,8,6,1,5,3]=>[3,5,1,6,8,2,4,7]=>[[1,2,4,5],[3,6,7,8]]=>19 [4,8,6,3,2,1,7,5]=>[6,4,3,2,8,7,1,5]=>[5,1,7,8,2,3,4,6]=>[[1,3,4,7,8],[2,5,6]]=>17 [5,6,4,7,1,8,3,2]=>[5,1,6,4,7,8,3,2]=>[2,3,8,7,4,6,1,5]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [5,3,7,4,6,1,8,2]=>[5,3,7,4,1,6,8,2]=>[2,8,6,1,4,7,3,5]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [4,1,5,7,8,6,3,2]=>[7,8,4,5,6,1,3,2]=>[2,3,1,6,5,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>14 [3,6,7,1,5,4,8,2]=>[3,6,7,5,1,4,8,2]=>[2,8,4,1,5,7,6,3]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [3,6,4,7,5,8,2,1]=>[3,6,7,4,5,8,2,1]=>[1,2,8,5,4,7,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [8,1,7,3,2,4,5,6]=>[3,1,2,4,8,5,7,6]=>[6,7,5,8,4,2,1,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [1,7,4,5,3,8,2,6]=>[4,7,5,8,1,3,2,6]=>[6,2,3,1,8,5,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>12 [1,5,6,7,3,8,4,2]=>[5,6,3,7,8,4,1,2]=>[2,1,4,8,7,3,6,5]=>[[1,3,4],[2,5,7],[6],[8]]=>13 [6,5,7,3,1,8,2,4]=>[1,6,5,3,7,2,8,4]=>[4,8,2,7,3,5,6,1]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [6,4,7,1,5,2,8,3]=>[1,4,6,2,7,5,8,3]=>[3,8,5,7,2,6,4,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [5,3,4,7,8,2,6,1]=>[3,5,7,8,4,2,6,1]=>[1,6,2,4,8,7,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [4,6,1,8,2,5,3,7]=>[1,6,4,8,2,5,3,7]=>[7,3,5,2,8,4,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [5,8,3,7,4,1,2,6]=>[5,3,1,8,7,4,2,6]=>[6,2,4,7,8,1,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>18 [3,2,6,1,8,5,4,7]=>[6,8,3,2,5,1,4,7]=>[7,4,1,5,2,3,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>10 [5,7,3,1,4,2,8,6]=>[1,3,7,5,4,8,2,6]=>[6,2,8,4,5,7,3,1]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [5,7,3,8,4,2,1,6]=>[7,5,3,8,4,2,1,6]=>[6,1,2,4,8,3,5,7]=>[[1,3,4,5,8],[2,7],[6]]=>18 [4,1,6,8,2,5,3,7]=>[4,8,6,1,2,5,3,7]=>[7,3,5,2,1,6,8,4]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [6,1,4,8,2,5,3,7]=>[1,6,2,8,4,5,3,7]=>[7,3,5,4,8,2,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [1,7,4,3,5,8,2,6]=>[7,1,4,8,3,5,2,6]=>[6,2,5,3,8,4,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [7,4,8,5,2,3,6,1]=>[7,4,2,5,3,8,6,1]=>[1,6,8,3,5,2,4,7]=>[[1,2,3,8],[4,5],[6,7]]=>20 [5,3,7,1,4,6,2,8]=>[3,5,1,7,4,6,2,8]=>[8,2,6,4,7,1,5,3]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [2,7,1,5,4,6,3,8]=>[5,2,4,7,6,1,3,8]=>[8,3,1,6,7,4,2,5]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [2,3,7,4,8,1,5,6]=>[7,2,3,8,4,1,5,6]=>[6,5,1,4,8,3,2,7]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [3,4,6,8,2,5,1,7]=>[8,6,3,4,2,5,1,7]=>[7,1,5,2,4,3,6,8]=>[[1,3,5,7,8],[2],[4],[6]]=>13 [3,7,2,5,4,6,8,1]=>[3,7,2,5,4,6,8,1]=>[1,8,6,4,5,2,7,3]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [3,8,6,5,7,4,2,1]=>[6,5,8,7,3,4,2,1]=>[1,2,4,3,7,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>21 [4,1,7,2,5,8,3,6]=>[1,4,7,8,2,5,3,6]=>[6,3,5,2,8,7,4,1]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [3,1,7,5,2,8,6,4]=>[3,1,7,8,5,6,2,4]=>[4,2,6,5,8,7,1,3]=>[[1,3,5],[2,4,6],[7,8]]=>11 [5,6,3,2,8,7,4,1]=>[5,3,8,2,6,7,4,1]=>[1,4,7,6,2,8,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>17 [2,6,1,7,8,4,3,5]=>[6,7,2,8,1,4,3,5]=>[5,3,4,1,8,2,7,6]=>[[1,3,5],[2,6,7],[4,8]]=>12 [3,2,5,8,6,4,1,7]=>[3,8,5,6,2,4,1,7]=>[7,1,4,2,6,5,8,3]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [3,2,5,8,6,1,7,4]=>[3,8,5,6,2,7,1,4]=>[4,1,7,2,6,5,8,3]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [3,4,2,5,8,6,1,7]=>[8,3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>10 [4,5,1,7,2,8,6,3]=>[1,4,5,7,8,2,6,3]=>[3,6,2,8,7,5,4,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [2,6,3,1,8,7,5,4]=>[8,2,3,6,7,5,1,4]=>[4,1,5,7,6,3,2,8]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [3,7,5,2,8,6,4,1]=>[5,3,7,8,6,2,4,1]=>[1,4,2,6,8,7,3,5]=>[[1,2,4,5],[3,6,8],[7]]=>17 [2,8,5,3,6,7,4,1]=>[2,5,6,8,7,3,4,1]=>[1,4,3,7,8,6,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [2,8,6,3,4,7,5,1]=>[2,3,6,8,7,4,5,1]=>[1,5,4,7,8,6,3,2]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [1,8,6,4,7,2,5,3]=>[4,1,6,8,7,5,2,3]=>[3,2,5,7,8,6,1,4]=>[[1,3,4,5],[2,6],[7,8]]=>16 [4,8,6,3,5,2,7,1]=>[8,4,3,6,5,2,7,1]=>[1,7,2,5,6,3,4,8]=>[[1,2,4,5,8],[3,7],[6]]=>19 [7,3,4,2,1,8,6,5]=>[3,4,2,7,8,1,6,5]=>[5,6,1,8,7,2,4,3]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [5,4,2,3,8,7,1,6]=>[2,5,8,4,7,3,1,6]=>[6,1,3,7,4,8,5,2]=>[[1,3,4,6],[2,5,7],[8]]=>14 [7,3,6,4,1,8,2,5]=>[3,1,7,4,6,2,8,5]=>[5,8,2,6,4,7,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [7,3,6,1,5,8,2,4]=>[7,3,6,1,5,2,8,4]=>[4,8,2,5,1,6,3,7]=>[[1,2,6,8],[3,4],[5,7]]=>16 [6,4,7,2,5,3,1,8]=>[4,2,6,7,5,3,1,8]=>[8,1,3,5,7,6,2,4]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [4,8,6,3,5,1,7,2]=>[8,4,3,1,6,5,7,2]=>[2,7,5,6,1,3,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>18 [6,1,2,4,3,8,5,7]=>[4,6,1,2,3,8,5,7]=>[7,5,8,3,2,1,6,4]=>[[1,3],[2,7],[4,8],[5],[6]]=>8 [6,3,1,5,4,8,7,2]=>[6,1,3,5,8,4,7,2]=>[2,7,4,8,5,3,1,6]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [6,3,5,8,4,1,7,2]=>[6,8,3,1,5,4,7,2]=>[2,7,4,5,1,3,8,6]=>[[1,2,4,7],[3,6,8],[5]]=>17 [1,6,3,7,5,4,8,2]=>[6,7,3,5,4,8,1,2]=>[2,1,8,4,5,3,7,6]=>[[1,3,5,7],[2,4,8],[6]]=>12 [7,1,3,8,5,4,2,6]=>[7,5,3,4,1,2,8,6]=>[6,8,2,1,4,3,5,7]=>[[1,2,7,8],[3,5],[4,6]]=>14 [6,8,2,7,3,4,5,1]=>[2,6,3,8,4,7,5,1]=>[1,5,7,4,8,3,6,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [2,1,6,3,5,4,7,8]=>[2,6,5,1,3,4,7,8]=>[8,7,4,3,1,5,6,2]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [5,6,2,4,7,3,1,8]=>[2,5,6,4,7,3,1,8]=>[8,1,3,7,4,6,5,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>14 [4,1,6,7,2,5,3,8]=>[6,4,7,1,2,5,3,8]=>[8,3,5,2,1,7,4,6]=>[[1,3,6],[2,7,8],[4],[5]]=>10 [3,5,1,7,4,2,8,6]=>[5,3,7,1,4,8,2,6]=>[6,2,8,4,1,7,3,5]=>[[1,3,6],[2,4,8],[5,7]]=>10 [3,4,2,7,6,1,8,5]=>[7,3,4,6,2,8,1,5]=>[5,1,8,2,6,4,3,7]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [3,4,1,6,2,8,7,5]=>[3,4,8,1,6,7,2,5]=>[5,2,7,6,1,8,4,3]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [3,5,2,6,1,8,4,7]=>[5,3,6,8,2,1,4,7]=>[7,4,1,2,8,6,3,5]=>[[1,4,5,8],[2,6],[3,7]]=>10 [5,2,6,7,4,3,1,8]=>[5,6,7,2,4,3,1,8]=>[8,1,3,4,2,7,6,5]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [8,4,6,2,1,5,7,3]=>[4,2,6,1,5,8,7,3]=>[3,7,8,5,1,6,2,4]=>[[1,2,3],[4,6,8],[5,7]]=>17 [8,5,2,1,6,4,7,3]=>[2,5,6,1,4,8,7,3]=>[3,7,8,4,1,6,5,2]=>[[1,2,3],[4,6],[5,7],[8]]=>16 [6,7,1,4,8,5,3,2]=>[6,1,7,8,4,5,3,2]=>[2,3,5,4,8,7,1,6]=>[[1,2,3,5],[4,6],[7,8]]=>18 [7,3,2,8,5,1,4,6]=>[7,3,5,2,1,4,8,6]=>[6,8,4,1,2,5,3,7]=>[[1,2,6,8],[3,5],[4,7]]=>15 [8,3,5,2,4,7,1,6]=>[5,3,8,2,4,1,7,6]=>[6,7,1,4,2,8,3,5]=>[[1,2,6,8],[3,4,7],[5]]=>16 [4,3,7,8,6,1,5,2]=>[7,8,4,3,6,1,5,2]=>[2,5,1,6,3,4,8,7]=>[[1,2,4,7],[3,5,6,8]]=>17 [1,2,6,3,7,8,5,4]=>[6,7,8,1,5,2,3,4]=>[4,3,2,5,1,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [6,1,3,7,8,5,4,2]=>[6,7,8,1,5,3,4,2]=>[2,4,3,5,1,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>15 [3,6,8,5,4,2,1,7]=>[8,6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6,8]=>[[1,3,4,6,7,8],[2],[5]]=>17 [6,4,1,7,5,8,2,3]=>[1,6,7,4,5,2,8,3]=>[3,8,2,5,4,7,6,1]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [4,5,7,1,3,2,8,6]=>[4,7,1,5,3,8,2,6]=>[6,2,8,3,5,1,7,4]=>[[1,3,5,7],[2,4],[6,8]]=>12 [1,6,5,8,3,4,7,2]=>[6,3,8,5,4,7,1,2]=>[2,1,7,4,5,8,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>14 [5,2,4,7,6,1,3,8]=>[5,7,2,4,1,6,3,8]=>[8,3,6,1,4,2,7,5]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [6,1,8,4,7,5,2,3]=>[8,1,6,7,4,2,5,3]=>[3,5,2,4,7,6,1,8]=>[[1,2,5,8],[3,4,6],[7]]=>17 [6,5,1,4,3,7,2,8]=>[6,5,1,4,3,7,2,8]=>[8,2,7,3,4,1,5,6]=>[[1,3,5,7,8],[2],[4],[6]]=>13 [4,6,2,5,7,3,1,8]=>[4,6,2,5,7,3,1,8]=>[8,1,3,7,5,2,6,4]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [6,3,4,2,8,7,1,5]=>[3,4,8,2,6,1,7,5]=>[5,7,1,6,2,8,4,3]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [5,6,3,7,2,8,4,1]=>[5,3,6,2,7,8,4,1]=>[1,4,8,7,2,6,3,5]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [4,2,6,7,8,5,1,3]=>[6,7,8,2,4,1,5,3]=>[3,5,1,4,2,8,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>15 [4,5,1,6,8,7,3,2]=>[8,1,4,5,6,7,3,2]=>[2,3,7,6,5,4,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>14 [2,8,3,4,5,6,1,7]=>[2,3,4,5,8,6,1,7]=>[7,1,6,8,5,4,3,2]=>[[1,3,4],[2],[5],[6],[7],[8]]=>11 [3,8,6,1,5,2,4,7]=>[3,1,8,6,2,5,4,7]=>[7,4,5,2,6,8,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [3,2,8,1,5,6,4,7]=>[3,2,5,8,6,1,4,7]=>[7,4,1,6,8,5,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>10 [2,8,1,3,7,5,6,4]=>[8,7,2,1,5,6,3,4]=>[4,3,6,5,1,2,7,8]=>[[1,3,7,8],[2,4],[5,6]]=>12 [7,6,1,2,5,8,4,3]=>[7,6,1,2,5,8,4,3]=>[3,4,8,5,2,1,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>16 [3,4,7,1,5,8,2,6]=>[3,1,7,8,4,5,2,6]=>[6,2,5,4,8,7,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [4,2,7,1,5,8,3,6]=>[4,2,7,8,1,5,3,6]=>[6,3,5,1,8,7,2,4]=>[[1,3,5],[2,6,8],[4,7]]=>11 [4,1,6,2,5,8,3,7]=>[4,6,8,1,2,5,3,7]=>[7,3,5,2,1,8,6,4]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [1,4,6,3,8,5,2,7]=>[6,8,4,3,5,1,2,7]=>[7,2,1,5,3,4,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>10 [4,5,6,3,1,7,2,8]=>[4,5,1,6,3,7,2,8]=>[8,2,7,3,6,1,5,4]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [1,4,6,5,8,2,3,7]=>[6,8,4,1,5,2,3,7]=>[7,3,2,5,1,4,8,6]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [3,5,7,2,1,8,4,6]=>[7,5,3,8,2,1,4,6]=>[6,4,1,2,8,3,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>12 [2,4,7,8,3,6,1,5]=>[7,4,8,6,2,3,1,5]=>[5,1,3,2,6,8,4,7]=>[[1,3,5,6],[2,7,8],[4]]=>14 [2,5,7,6,8,3,4,1]=>[7,5,6,2,8,3,4,1]=>[1,4,3,8,2,6,5,7]=>[[1,2,4,8],[3,6],[5,7]]=>16 [2,5,7,6,8,3,1,4]=>[7,5,6,2,8,3,1,4]=>[4,1,3,8,2,6,5,7]=>[[1,3,4,8],[2,6],[5,7]]=>15 [2,8,6,7,1,3,4,5]=>[2,1,6,3,8,7,4,5]=>[5,4,7,8,3,6,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [2,3,5,4,8,1,6,7]=>[8,5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>8 [5,6,8,2,7,1,3,4]=>[5,6,2,1,8,3,7,4]=>[4,7,3,8,1,2,6,5]=>[[1,2,4],[3,6,7],[5,8]]=>17 [6,7,1,5,4,8,3,2]=>[6,7,5,1,4,8,3,2]=>[2,3,8,4,1,5,7,6]=>[[1,2,3,6,7],[4,8],[5]]=>18 [6,5,4,7,1,8,3,2]=>[1,6,5,4,7,8,3,2]=>[2,3,8,7,4,5,6,1]=>[[1,2,3,6,7],[4],[5],[8]]=>18 [3,1,6,7,2,8,5,4]=>[6,3,7,8,1,5,2,4]=>[4,2,5,1,8,7,3,6]=>[[1,3,5],[2,6,8],[4,7]]=>11 [6,5,1,3,8,4,7,2]=>[6,5,1,3,8,4,7,2]=>[2,7,4,8,3,1,5,6]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [6,8,4,5,1,7,3,2]=>[1,4,8,6,5,7,3,2]=>[2,3,7,5,6,8,4,1]=>[[1,2,3,5,6],[4],[7],[8]]=>20 [7,4,8,5,3,1,2,6]=>[7,4,1,5,3,2,8,6]=>[6,8,2,3,5,1,4,7]=>[[1,2,5,8],[3,4],[6,7]]=>19 [3,4,7,5,6,8,2,1]=>[3,7,4,5,6,8,2,1]=>[1,2,8,6,5,4,7,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>15 [3,4,7,8,5,2,6,1]=>[7,3,8,4,5,2,6,1]=>[1,6,2,5,4,8,3,7]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [4,5,8,6,1,7,2,3]=>[4,1,8,5,6,2,7,3]=>[3,7,2,6,5,8,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>16 [4,8,5,6,1,7,2,3]=>[4,1,5,8,6,2,7,3]=>[3,7,2,6,8,5,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [2,5,8,6,3,7,4,1]=>[5,2,8,6,7,3,4,1]=>[1,4,3,7,6,8,2,5]=>[[1,2,4,6],[3,5],[7,8]]=>16 [3,4,7,2,8,6,5,1]=>[3,7,8,4,6,2,5,1]=>[1,5,2,6,4,8,7,3]=>[[1,2,4,6],[3,5,7],[8]]=>15 [2,3,7,8,6,1,5,4]=>[7,2,8,6,3,5,1,4]=>[4,1,5,3,6,8,2,7]=>[[1,3,5,6],[2,4,8],[7]]=>14 [2,8,1,5,7,4,3,6]=>[8,7,2,5,1,4,3,6]=>[6,3,4,1,5,2,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>13 [2,3,8,4,7,5,1,6]=>[2,8,3,7,4,5,1,6]=>[6,1,5,4,7,3,8,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [3,8,4,5,1,7,6,2]=>[3,4,8,1,7,5,6,2]=>[2,6,5,7,1,8,4,3]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [7,4,1,2,5,3,6,8]=>[1,2,4,5,3,7,6,8]=>[8,6,7,3,5,4,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>10 [4,1,3,5,2,8,6,7]=>[4,8,1,3,5,2,6,7]=>[7,6,2,5,3,1,8,4]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [4,3,7,5,1,2,6,8]=>[7,4,3,1,5,2,6,8]=>[8,6,2,5,1,3,4,7]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [4,5,3,1,6,2,7,8]=>[4,1,5,3,6,2,7,8]=>[8,7,2,6,3,5,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [3,7,4,2,1,6,5,8]=>[3,4,2,7,6,1,5,8]=>[8,5,1,6,7,2,4,3]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [6,3,7,5,4,2,1,8]=>[6,7,3,5,4,2,1,8]=>[8,1,2,4,5,3,7,6]=>[[1,3,4,5,7],[2,8],[6]]=>17 [2,7,3,1,4,6,5,8]=>[2,3,7,1,6,4,5,8]=>[8,5,4,6,1,7,3,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [4,3,1,8,7,2,6,5]=>[8,4,3,7,1,6,2,5]=>[5,2,6,1,7,3,4,8]=>[[1,3,5,8],[2,6,7],[4]]=>13 [2,5,3,1,7,6,4,8]=>[2,5,7,3,6,1,4,8]=>[8,4,1,6,3,7,5,2]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [5,3,1,2,7,6,4,8]=>[1,3,7,2,5,6,4,8]=>[8,4,6,5,2,7,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [4,5,1,3,6,2,7,8]=>[1,4,5,3,6,2,7,8]=>[8,7,2,6,3,5,4,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>8 [4,8,1,7,5,6,3,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>18 [1,5,7,2,8,4,6,3]=>[5,7,1,8,4,6,2,3]=>[3,2,6,4,8,1,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>12 [4,6,5,1,2,3,7,8]=>[1,6,4,2,5,3,7,8]=>[8,7,3,5,2,4,6,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>10 [1,7,6,3,4,5,8,2]=>[3,4,7,6,5,8,1,2]=>[2,1,8,5,6,7,4,3]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [1,8,7,4,5,6,2,3]=>[4,5,1,8,7,6,2,3]=>[3,2,6,7,8,1,5,4]=>[[1,3,4,5],[2,7],[6,8]]=>17 [1,7,2,5,6,3,4,8]=>[7,1,5,2,6,3,4,8]=>[8,4,3,6,2,5,1,7]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [1,5,8,2,6,3,4,7]=>[5,1,2,8,6,3,4,7]=>[7,4,3,6,8,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [6,3,5,1,4,2,7,8]=>[3,6,1,5,4,2,7,8]=>[8,7,2,4,5,1,6,3]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [7,4,2,1,3,8,6,5]=>[2,1,4,7,8,3,6,5]=>[5,6,3,8,7,4,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [7,2,6,4,8,1,5,3]=>[2,7,6,4,8,1,5,3]=>[3,5,1,8,4,6,7,2]=>[[1,2,4,7],[3,5,6],[8]]=>17 [4,1,5,7,2,6,3,8]=>[4,5,7,1,2,6,3,8]=>[8,3,6,2,1,7,5,4]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [5,7,2,1,3,6,4,8]=>[2,1,5,7,3,6,4,8]=>[8,4,6,3,7,5,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [6,1,8,7,2,5,3,4]=>[6,1,8,2,7,3,5,4]=>[4,5,3,7,2,8,1,6]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [7,2,5,8,6,4,3,1]=>[5,7,8,6,2,4,3,1]=>[1,3,4,2,6,8,7,5]=>[[1,2,3,5,6],[4,7],[8]]=>20 [2,5,4,1,7,6,3,8]=>[5,4,7,2,6,1,3,8]=>[8,3,1,6,2,7,4,5]=>[[1,4,6,8],[2,5,7],[3]]=>9 [2,7,8,6,5,3,4,1]=>[7,2,8,6,5,3,4,1]=>[1,4,3,5,6,8,2,7]=>[[1,2,4,5,6],[3,8],[7]]=>20 [6,4,7,5,2,3,1,8]=>[4,6,2,7,5,3,1,8]=>[8,1,3,5,7,2,6,4]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [4,3,7,1,5,8,6,2]=>[4,7,3,8,1,5,6,2]=>[2,6,5,1,8,3,7,4]=>[[1,2,5],[3,6,7],[4,8]]=>13 [6,5,8,9,7,4,3,2,1]=>[6,8,9,5,7,4,3,2,1]=>[1,2,3,4,7,5,9,8,6]=>[[1,2,3,4,5,7],[6,8],[9]]=>29 [6,3,1,8,2,7,5,4]=>[3,8,1,6,7,2,5,4]=>[4,5,2,7,6,1,8,3]=>[[1,2,4,7],[3,5],[6,8]]=>14 [2,4,8,7,5,1,6,3]=>[4,8,7,5,2,6,1,3]=>[3,1,6,2,5,7,8,4]=>[[1,3,5,6,7],[2,4],[8]]=>15 [6,4,1,3,2,5,7,8]=>[4,1,3,2,6,5,7,8]=>[8,7,5,6,2,3,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>9 [5,4,7,1,3,6,2,8]=>[5,4,1,7,3,6,2,8]=>[8,2,6,3,7,1,4,5]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [1,8,2,4,5,3,6,7]=>[4,5,1,2,3,8,6,7]=>[7,6,8,3,2,1,5,4]=>[[1,3],[2,7],[4,8],[5],[6]]=>8 [3,5,8,6,2,1,7,4]=>[5,8,6,3,2,7,1,4]=>[4,1,7,2,3,6,8,5]=>[[1,3,5,6,7],[2,4],[8]]=>15 [2,8,6,1,3,4,7,5]=>[2,1,3,6,8,7,4,5]=>[5,4,7,8,6,3,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [6,5,7,2,3,8,4,1]=>[2,6,5,3,7,8,4,1]=>[1,4,8,7,3,5,6,2]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [5,6,8,2,7,4,3,1]=>[5,8,2,6,7,4,3,1]=>[1,3,4,7,6,2,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>20 [5,8,2,1,3,6,4,7]=>[2,1,3,5,8,6,4,7]=>[7,4,6,8,5,3,1,2]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [5,7,6,2,8,4,3,1]=>[5,7,2,6,8,4,3,1]=>[1,3,4,8,6,2,7,5]=>[[1,2,3,4,7],[5,8],[6]]=>20 [8,2,4,3,7,1,5,6]=>[8,4,2,3,1,5,7,6]=>[6,7,5,1,3,2,4,8]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [6,5,1,4,8,7,3,2]=>[6,5,8,1,4,7,3,2]=>[2,3,7,4,1,8,5,6]=>[[1,2,3,6,8],[4,7],[5]]=>17 [5,1,2,4,7,3,8,6]=>[5,7,1,2,4,8,3,6]=>[6,3,8,4,2,1,7,5]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [6,2,5,4,1,7,3,8]=>[6,5,2,1,4,7,3,8]=>[8,3,7,4,1,2,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [6,2,8,7,4,1,5,3]=>[8,6,2,1,7,4,5,3]=>[3,5,4,7,1,2,6,8]=>[[1,2,4,8],[3,6,7],[5]]=>18 [8,4,6,1,5,3,7,2]=>[6,1,4,5,3,8,7,2]=>[2,7,8,3,5,4,1,6]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [5,7,6,3,4,1,8,2]=>[7,5,3,1,6,4,8,2]=>[2,8,4,6,1,3,5,7]=>[[1,2,4,8],[3,6,7],[5]]=>18 [5,3,1,6,4,7,8,2]=>[1,3,5,6,4,7,8,2]=>[2,8,7,4,6,5,3,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>11 [8,3,5,6,4,1,7,2]=>[5,6,3,1,4,8,7,2]=>[2,7,8,4,1,3,6,5]=>[[1,2,3],[4,6,7],[5,8]]=>18 [2,1,5,7,3,6,4,8]=>[7,5,2,6,1,3,4,8]=>[8,4,3,1,6,2,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [6,4,5,8,2,1,3,7]=>[4,6,2,1,8,5,3,7]=>[7,3,5,8,1,2,6,4]=>[[1,3,4],[2,6,7],[5,8]]=>16 [7,3,8,2,1,5,4,6]=>[3,2,7,5,1,4,8,6]=>[6,8,4,1,5,7,2,3]=>[[1,2,6],[3,5,8],[4,7]]=>15 [1,8,3,6,2,5,7,4]=>[1,8,3,6,5,7,2,4]=>[4,2,7,5,6,3,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [9,8,7,6,5,3,1,2,4]=>[1,3,2,9,8,7,6,5,4]=>[4,5,6,7,8,9,2,3,1]=>[[1,2,3,4,5,6],[7,8],[9]]=>32 [7,1,2,6,5,3,4,8]=>[1,7,6,2,3,5,4,8]=>[8,4,5,3,2,6,7,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>11 [3,4,6,2,7,1,8,5]=>[6,3,4,7,2,8,1,5]=>[5,1,8,2,7,4,3,6]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [5,1,2,7,4,3,8,6]=>[1,5,7,2,4,8,3,6]=>[6,3,8,4,2,7,5,1]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [2,1,4,7,3,8,6,5]=>[2,7,8,4,6,1,3,5]=>[5,3,1,6,4,8,7,2]=>[[1,4,6],[2,5,7],[3,8]]=>8 [6,4,3,5,1,7,8,2]=>[4,3,1,6,5,7,8,2]=>[2,8,7,5,6,1,3,4]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [5,4,6,8,3,7,1,2]=>[5,8,4,6,3,1,7,2]=>[2,7,1,3,6,4,8,5]=>[[1,2,5,7],[3,4,8],[6]]=>18 [7,1,4,6,3,5,8,2]=>[7,6,1,4,3,5,8,2]=>[2,8,5,3,4,1,6,7]=>[[1,2,5,7,8],[3],[4],[6]]=>14 [4,3,6,7,2,5,8,1]=>[4,6,7,3,2,5,8,1]=>[1,8,5,2,3,7,6,4]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [4,3,6,8,2,5,1,7]=>[8,4,6,3,2,5,1,7]=>[7,1,5,2,3,6,4,8]=>[[1,3,5,6,8],[2,7],[4]]=>14 [4,7,8,6,2,3,5,1]=>[7,2,8,6,4,3,5,1]=>[1,5,3,4,6,8,2,7]=>[[1,2,4,5,6],[3,8],[7]]=>20 [3,2,8,6,4,7,5,1]=>[6,3,8,7,2,4,5,1]=>[1,5,4,2,7,8,3,6]=>[[1,2,5,6],[3,7,8],[4]]=>15 [7,1,2,4,8,6,5,3]=>[7,8,1,6,2,4,5,3]=>[3,5,4,2,6,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [5,2,4,1,8,7,6,3]=>[5,8,2,7,1,4,6,3]=>[3,6,4,1,7,2,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>13 [7,1,3,2,8,6,5,4]=>[7,8,3,6,1,2,5,4]=>[4,5,2,1,6,3,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>13 [2,5,3,1,8,7,6,4]=>[8,2,5,7,3,6,1,4]=>[4,1,6,3,7,5,2,8]=>[[1,3,5,8],[2,4,6],[7]]=>11 [4,6,1,8,7,2,3,5]=>[6,1,8,4,2,7,3,5]=>[5,3,7,2,4,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [2,7,5,6,4,8,1,3]=>[5,7,6,4,8,2,1,3]=>[3,1,2,8,4,6,7,5]=>[[1,3,4,6,7],[2,5],[8]]=>16 [2,7,3,5,6,1,8,4]=>[2,7,5,6,3,8,1,4]=>[4,1,8,3,6,5,7,2]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [4,8,2,5,6,1,7,3]=>[4,2,8,5,1,6,7,3]=>[3,7,6,1,5,8,2,4]=>[[1,2,6],[3,5,8],[4],[7]]=>15 [3,8,4,7,1,5,6,2]=>[8,3,4,1,7,5,6,2]=>[2,6,5,7,1,4,3,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [3,6,7,1,5,8,4,2]=>[3,6,7,5,8,1,4,2]=>[2,4,1,8,5,7,6,3]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [3,8,1,6,2,4,7,5]=>[1,3,2,8,6,7,4,5]=>[5,4,7,6,8,2,3,1]=>[[1,3,5],[2,4],[6,7],[8]]=>12 [2,5,8,4,1,6,7,3]=>[5,4,2,8,6,7,1,3]=>[3,1,7,6,8,2,4,5]=>[[1,3,5,8],[2,4,7],[6]]=>13 [10,9,8,4,7,6,5,3,2,1]=>[10,9,4,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,4,9,10]=>[[1,2,3,4,5,6,7,9,10],[8]]=>42 [7,4,3,1,6,5,2,8]=>[1,4,7,3,6,5,2,8]=>[8,2,5,6,3,7,4,1]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [3,1,2,4,8,7,5,6]=>[8,3,1,7,2,4,5,6]=>[6,5,4,2,7,1,3,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [1,6,8,4,7,3,5,2]=>[6,8,4,3,7,5,1,2]=>[2,1,5,7,3,4,8,6]=>[[1,3,4,7],[2,5,6,8]]=>16 [6,8,5,4,7,3,1,2]=>[8,6,5,4,1,7,3,2]=>[2,3,7,1,4,5,6,8]=>[[1,2,3,6,7,8],[4,5]]=>23 [5,4,1,2,3,7,8,6]=>[1,2,5,4,7,8,3,6]=>[6,3,8,7,4,5,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [1,6,7,2,5,8,3,4]=>[6,7,1,5,2,8,3,4]=>[4,3,8,2,5,1,7,6]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [5,3,8,6,2,4,1,7]=>[5,8,3,2,6,4,1,7]=>[7,1,4,6,2,3,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>16 [5,4,7,8,6,2,1,3]=>[5,7,8,4,2,1,6,3]=>[3,6,1,2,4,8,7,5]=>[[1,2,5,6],[3,4,7],[8]]=>19 [2,7,4,8,3,1,5,6]=>[7,4,2,3,1,8,5,6]=>[6,5,8,1,3,2,4,7]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [6,5,8,2,3,4,7,1]=>[2,6,3,8,5,4,7,1]=>[1,7,4,5,8,3,6,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [7,5,1,8,2,3,4,6]=>[1,5,2,3,7,4,8,6]=>[6,8,4,7,3,2,5,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>14 [8,2,4,1,3,7,5,6]=>[4,8,2,1,3,5,7,6]=>[6,7,5,3,1,2,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [8,1,6,2,3,7,4,5]=>[8,1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [7,1,8,2,3,6,4,5]=>[7,1,2,3,8,4,6,5]=>[5,6,4,8,3,2,1,7]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [3,5,7,4,2,8,1,6]=>[7,5,3,4,8,2,1,6]=>[6,1,2,8,4,3,5,7]=>[[1,3,4,7,8],[2,5],[6]]=>14 [4,6,5,7,1,2,3,8]=>[6,4,1,5,2,7,3,8]=>[8,3,7,2,5,1,4,6]=>[[1,3,8],[2,5],[4,7],[6]]=>13 [5,7,2,4,1,6,8,3]=>[5,2,1,7,4,6,8,3]=>[3,8,6,4,7,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [8,5,3,4,1,7,6,2]=>[3,1,5,8,4,7,6,2]=>[2,6,7,4,8,5,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>18 [8,5,3,4,7,1,6,2]=>[3,5,4,8,1,7,6,2]=>[2,6,7,1,8,4,5,3]=>[[1,2,3,5],[4,6,7],[8]]=>19 [8,5,2,3,6,4,1,7]=>[2,3,5,6,4,1,8,7]=>[7,8,1,4,6,5,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [8,6,1,3,2,7,5,4]=>[8,3,1,2,6,7,5,4]=>[4,5,7,6,2,1,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [7,3,1,6,4,8,2,5]=>[1,7,3,4,6,2,8,5]=>[5,8,2,6,4,3,7,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>14 [4,8,5,1,2,6,3,7]=>[1,4,2,5,8,6,3,7]=>[7,3,6,8,5,2,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [6,8,2,5,7,3,4,1]=>[2,6,8,5,3,7,4,1]=>[1,4,7,3,5,8,6,2]=>[[1,2,3,6],[4,5,7],[8]]=>20 [7,2,5,8,4,6,3,1]=>[7,8,2,5,4,6,3,1]=>[1,3,6,4,5,2,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>19 [6,8,7,4,5,3,2,1]=>[8,6,4,7,5,3,2,1]=>[1,2,3,5,7,4,6,8]=>[[1,2,3,4,5,8],[6,7]]=>25 [5,3,7,6,2,8,1,4]=>[7,3,5,2,6,1,8,4]=>[4,8,1,6,2,5,3,7]=>[[1,2,6,8],[3,4],[5],[7]]=>16 [5,2,6,7,4,8,3,1]=>[5,6,7,2,4,8,3,1]=>[1,3,8,4,2,7,6,5]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [3,6,5,7,8,1,4,2]=>[6,5,7,3,8,1,4,2]=>[2,4,1,8,3,7,5,6]=>[[1,2,4,8],[3,5,6],[7]]=>16 [4,5,7,1,8,6,3,2]=>[4,7,8,1,5,6,3,2]=>[2,3,6,5,1,8,7,4]=>[[1,2,3,6],[4,7],[5,8]]=>16 [3,7,6,5,4,1,2,8]=>[7,6,5,3,1,4,2,8]=>[8,2,4,1,3,5,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>16 [7,6,8,3,1,4,2,5]=>[1,3,7,6,4,2,8,5]=>[5,8,2,4,6,7,3,1]=>[[1,2,5,6],[3,4],[7],[8]]=>19 [8,5,1,7,3,6,4,2]=>[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>19 [6,5,8,1,7,3,2,4]=>[1,6,5,8,3,2,7,4]=>[4,7,2,3,8,5,6,1]=>[[1,2,5,7],[3,4,6],[8]]=>18 [6,4,8,1,5,2,3,7]=>[6,1,4,2,8,5,3,7]=>[7,3,5,8,2,4,1,6]=>[[1,3,4],[2,6,8],[5],[7]]=>15 [7,2,4,1,6,3,5,8]=>[4,7,2,1,3,6,5,8]=>[8,5,6,3,1,2,7,4]=>[[1,3,7],[2,6,8],[4],[5]]=>11 [5,7,8,2,3,6,4,1]=>[2,7,5,8,3,6,4,1]=>[1,4,6,3,8,5,7,2]=>[[1,2,3,5],[4,6,7],[8]]=>19 [2,8,7,3,1,4,5,6]=>[2,3,1,4,8,7,5,6]=>[6,5,7,8,4,1,3,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [5,6,1,2,4,7,8,3]=>[1,2,5,6,4,7,8,3]=>[3,8,7,4,6,5,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>11 [3,8,6,7,5,4,2,1]=>[6,8,7,5,3,4,2,1]=>[1,2,4,3,5,7,8,6]=>[[1,2,3,5,6,7],[4,8]]=>22 [7,8,5,1,4,6,2,3]=>[7,5,1,4,2,8,6,3]=>[3,6,8,2,4,1,5,7]=>[[1,2,3,8],[4,5,7],[6]]=>20 [4,6,7,1,3,2,8,5]=>[1,6,7,4,3,8,2,5]=>[5,2,8,3,4,7,6,1]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [7,3,1,4,5,6,8,2]=>[1,3,4,5,7,6,8,2]=>[2,8,6,7,5,4,3,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>12 [1,8,5,7,3,2,6,4]=>[5,1,8,3,7,6,2,4]=>[4,2,6,7,3,8,1,5]=>[[1,3,4,6],[2,5,8],[7]]=>15 [8,3,2,4,1,6,5,7]=>[3,2,4,6,1,5,8,7]=>[7,8,5,1,6,4,2,3]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [7,3,2,4,1,8,5,6]=>[3,2,4,7,1,5,8,6]=>[6,8,5,1,7,4,2,3]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [7,2,4,3,6,1,5,8]=>[4,7,2,3,1,6,5,8]=>[8,5,6,1,3,2,7,4]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [6,3,2,4,7,1,5,8]=>[3,2,4,6,1,7,5,8]=>[8,5,7,1,6,4,2,3]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [6,7,3,4,2,1,8,5]=>[3,6,4,2,1,7,8,5]=>[5,8,7,1,2,4,6,3]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [3,1,6,5,2,4,8,7]=>[6,3,1,5,8,2,4,7]=>[7,4,2,8,5,1,3,6]=>[[1,4,8],[2,5],[3,7],[6]]=>8 [3,6,8,7,4,5,1,2]=>[8,6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6,8]=>[[1,2,5,8],[3,4,7],[6]]=>19 [1,6,8,7,4,5,2,3]=>[8,6,4,1,7,5,2,3]=>[3,2,5,7,1,4,6,8]=>[[1,3,4,8],[2,6,7],[5]]=>17 [4,5,2,8,6,3,1,7]=>[4,5,8,2,6,3,1,7]=>[7,1,3,6,2,8,5,4]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [7,8,3,2,6,4,1,5]=>[3,7,2,4,1,8,6,5]=>[5,6,8,1,4,2,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>19 [6,8,3,2,7,4,1,5]=>[3,6,2,8,4,1,7,5]=>[5,7,1,4,8,2,6,3]=>[[1,2,5],[3,4,7],[6,8]]=>18 [7,2,8,3,6,4,1,5]=>[7,2,3,8,4,1,6,5]=>[5,6,1,4,8,3,2,7]=>[[1,2,5],[3,4,8],[6],[7]]=>17 [5,2,3,8,6,4,1,7]=>[5,8,2,3,6,4,1,7]=>[7,1,4,6,3,2,8,5]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [6,7,1,5,8,3,2,4]=>[6,7,5,1,3,2,8,4]=>[4,8,2,3,1,5,7,6]=>[[1,2,6,7],[3,4],[5,8]]=>17 [5,7,3,1,6,4,2,8]=>[1,5,7,3,6,4,2,8]=>[8,2,4,6,3,7,5,1]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [6,7,1,5,4,3,2,8]=>[6,7,5,1,4,3,2,8]=>[8,2,3,4,1,5,7,6]=>[[1,3,4,6,7],[2,8],[5]]=>16 [5,8,4,1,3,2,7,6]=>[5,1,4,3,8,7,2,6]=>[6,2,7,8,3,4,1,5]=>[[1,3,4,8],[2,5,6],[7]]=>15 [5,8,4,1,3,2,6,7]=>[5,1,4,3,2,8,6,7]=>[7,6,8,2,3,4,1,5]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [5,6,4,3,1,7,2,8]=>[5,1,6,4,3,7,2,8]=>[8,2,7,3,4,6,1,5]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [5,6,4,3,1,7,8,2]=>[5,1,6,4,3,7,8,2]=>[2,8,7,3,4,6,1,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [5,7,4,1,6,3,8,2]=>[5,1,7,4,6,3,8,2]=>[2,8,3,6,4,7,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [6,8,1,5,3,7,4,2]=>[1,8,6,3,5,7,4,2]=>[2,4,7,5,3,6,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>18 [7,8,1,3,4,2,5,6]=>[3,4,1,2,7,5,8,6]=>[6,8,5,7,2,1,4,3]=>[[1,2],[3,4],[5,7],[6,8]]=>14 [4,2,5,3,6,7,1,8]=>[2,4,5,3,6,7,1,8]=>[8,1,7,6,3,5,4,2]=>[[1,3,6],[2],[4],[5],[7],[8]]=>9 [6,2,3,5,1,7,4,8]=>[6,2,3,1,5,7,4,8]=>[8,4,7,5,1,3,2,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [8,4,6,2,7,1,5,3]=>[8,4,2,1,6,7,5,3]=>[3,5,7,6,1,2,4,8]=>[[1,2,3,8],[4,6,7],[5]]=>19 [1,4,6,3,5,2,8,7]=>[6,4,3,5,8,1,2,7]=>[7,2,1,8,5,3,4,6]=>[[1,4,7,8],[2,5],[3,6]]=>8 [5,4,3,8,6,2,1,7]=>[5,8,4,3,6,2,1,7]=>[7,1,2,6,3,4,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>16 [5,7,2,1,4,8,3,6]=>[2,7,1,5,8,4,3,6]=>[6,3,4,8,5,1,7,2]=>[[1,3,4,7],[2,5],[6,8]]=>13 [4,5,2,1,6,3,8,7]=>[4,2,1,5,6,8,3,7]=>[7,3,8,6,5,1,2,4]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [5,3,8,6,2,4,7,1]=>[5,8,3,2,6,4,7,1]=>[1,7,4,6,2,3,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>17 [3,6,2,8,5,7,1,4]=>[6,3,8,5,7,2,1,4]=>[4,1,2,7,5,8,3,6]=>[[1,3,4,6],[2,5,8],[7]]=>15 [4,6,8,1,5,7,2,3]=>[6,4,8,1,5,2,7,3]=>[3,7,2,5,1,8,4,6]=>[[1,2,6],[3,4,8],[5,7]]=>16 [4,1,2,5,7,6,3,8]=>[7,1,2,4,5,6,3,8]=>[8,3,6,5,4,2,1,7]=>[[1,3,8],[2],[4],[5],[6],[7]]=>7 [4,8,1,2,7,5,6,3]=>[8,4,1,7,2,5,6,3]=>[3,6,5,2,7,1,4,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [5,7,2,4,6,3,8,1]=>[5,2,7,4,6,3,8,1]=>[1,8,3,6,4,7,2,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [8,6,7,3,1,5,4,2]=>[1,3,6,8,7,5,4,2]=>[2,4,5,7,8,6,3,1]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [6,4,5,2,7,8,3,1]=>[4,2,6,5,7,8,3,1]=>[1,3,8,7,5,6,2,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [7,4,1,5,2,8,3,6]=>[4,1,2,5,7,3,8,6]=>[6,8,3,7,5,2,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>13 [1,6,4,3,8,7,5,2]=>[4,8,3,6,7,5,1,2]=>[2,1,5,7,6,3,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>13 [8,7,5,2,1,6,3,4]=>[2,5,1,3,8,7,6,4]=>[4,6,7,8,3,1,5,2]=>[[1,2,3,4],[5,7],[6,8]]=>20 [8,1,2,3,7,4,6,5]=>[8,1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>11 [7,3,2,6,5,8,4,1]=>[7,3,6,2,5,8,4,1]=>[1,4,8,5,2,6,3,7]=>[[1,2,3,6,8],[4,7],[5]]=>17 [4,5,1,6,8,7,2,3]=>[8,1,4,5,6,2,7,3]=>[3,7,2,6,5,4,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [3,4,7,2,5,8,6,1]=>[3,7,4,8,2,5,6,1]=>[1,6,5,2,8,4,7,3]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [3,2,7,4,5,1,6,8]=>[3,2,7,4,5,1,6,8]=>[8,6,1,5,4,7,2,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [7,2,5,3,1,4,6,8]=>[2,5,3,1,4,7,6,8]=>[8,6,7,4,1,3,5,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [4,3,1,6,5,7,2,8]=>[1,4,6,3,5,7,2,8]=>[8,2,7,5,3,6,4,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [4,2,7,3,5,6,1,8]=>[2,7,4,3,5,6,1,8]=>[8,1,6,5,3,4,7,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>11 [3,8,7,6,1,5,2,4]=>[3,1,8,7,6,5,2,4]=>[4,2,5,6,7,8,1,3]=>[[1,3,4,5,6],[2,8],[7]]=>19 [3,1,5,8,2,4,7,6]=>[3,1,8,5,7,2,4,6]=>[6,4,2,7,5,8,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>9 [1,3,8,6,4,5,7,2]=>[3,8,4,6,5,7,1,2]=>[2,1,7,5,6,4,8,3]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [2,5,1,8,6,4,7,3]=>[5,8,2,6,4,7,1,3]=>[3,1,7,4,6,2,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>12 [3,1,2,8,5,4,6,7]=>[1,3,8,5,2,4,6,7]=>[7,6,4,2,5,8,3,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [7,2,5,3,8,1,6,4]=>[2,3,7,5,8,1,6,4]=>[4,6,1,8,5,7,3,2]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [5,2,1,6,4,8,7,3]=>[2,5,6,8,1,4,7,3]=>[3,7,4,1,8,6,5,2]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [8,4,2,5,1,7,6,3]=>[2,4,8,1,5,7,6,3]=>[3,6,7,5,1,8,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [6,4,1,7,5,3,8,2]=>[1,6,7,4,5,3,8,2]=>[2,8,3,5,4,7,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15 [5,1,3,7,4,6,8,2]=>[5,1,7,3,4,6,8,2]=>[2,8,6,4,3,7,1,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [7,1,2,6,4,8,5,3]=>[1,7,6,8,2,4,5,3]=>[3,5,4,2,8,6,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [3,8,7,2,6,1,4,5]=>[8,3,2,1,7,6,4,5]=>[5,4,6,7,1,2,3,8]=>[[1,3,4,8],[2,6,7],[5]]=>17 [4,2,5,1,7,8,6,3]=>[2,4,7,8,1,5,6,3]=>[3,6,5,1,8,7,4,2]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [4,1,6,3,8,2,5,7]=>[4,1,6,8,3,2,5,7]=>[7,5,2,3,8,6,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [5,2,8,7,1,3,6,4]=>[5,2,8,7,1,3,6,4]=>[4,6,3,1,7,8,2,5]=>[[1,2,5,6],[3,7,8],[4]]=>15 [4,1,5,8,2,3,7,6]=>[8,1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1,8]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [4,8,1,2,6,3,5,7]=>[4,1,2,8,3,6,5,7]=>[7,5,6,3,8,2,1,4]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [5,8,4,7,3,2,1,6]=>[5,8,7,4,3,2,1,6]=>[6,1,2,3,4,7,8,5]=>[[1,3,4,5,6,7],[2,8]]=>20 [8,5,4,2,7,3,1,6]=>[5,4,2,8,3,1,7,6]=>[6,7,1,3,8,2,4,5]=>[[1,2,5,8],[3,4,7],[6]]=>19 [5,8,1,3,4,7,2,6]=>[1,3,8,5,7,4,2,6]=>[6,2,4,7,5,8,3,1]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [8,7,5,6,4,1,3,2]=>[1,5,8,7,6,4,3,2]=>[2,3,4,6,7,8,5,1]=>[[1,2,3,4,5,6],[7],[8]]=>25 [7,2,4,5,3,1,6,8]=>[4,5,2,3,1,7,6,8]=>[8,6,7,1,3,2,5,4]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [7,4,2,6,3,5,8,1]=>[4,2,7,3,6,5,8,1]=>[1,8,5,6,3,7,2,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16 [4,6,2,8,5,3,1,7]=>[6,4,8,2,5,3,1,7]=>[7,1,3,5,2,8,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>15 [6,4,5,8,2,7,1,3]=>[4,6,5,8,2,1,7,3]=>[3,7,1,2,8,5,6,4]=>[[1,2,5,7],[3,4,6],[8]]=>18 [7,6,3,1,4,5,8,2]=>[1,3,4,7,6,5,8,2]=>[2,8,5,6,7,4,3,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>16 [7,2,4,1,5,6,8,3]=>[2,1,4,7,5,6,8,3]=>[3,8,6,5,7,4,1,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [1,6,7,3,4,8,2,5]=>[6,1,3,7,8,4,2,5]=>[5,2,4,8,7,3,1,6]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [1,9,2,3,4,5,6,7,10,8]=>[1,2,3,4,5,6,9,10,7,8]=>[8,7,10,9,6,5,4,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>8 [5,3,4,7,8,1,6,2]=>[3,5,7,4,8,1,6,2]=>[2,6,1,8,4,7,5,3]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [2,4,1,7,3,6,5,8]=>[7,4,2,6,1,3,5,8]=>[8,5,3,1,6,2,4,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7 [7,6,1,5,3,8,2,4]=>[1,7,6,3,5,2,8,4]=>[4,8,2,5,3,6,7,1]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [5,1,4,8,2,3,7,6]=>[1,8,5,2,4,7,3,6]=>[6,3,7,4,2,5,8,1]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [3,8,5,6,7,1,4,2]=>[5,6,3,8,7,1,4,2]=>[2,4,1,7,8,3,6,5]=>[[1,2,4,5],[3,6,7],[8]]=>18 [1,3,5,7,9,11,12,10,8,6,4,2]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[[1,3,5,7,9,11],[2,4,6,8,10,12]]=>30 [4,5,7,2,6,8,3,1]=>[4,5,7,2,6,8,3,1]=>[1,3,8,6,2,7,5,4]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [1,2,8,3,4,6,5,7]=>[8,1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>6 [8,1,2,7,3,5,4,6]=>[8,1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>12 [5,7,1,2,6,3,4,8]=>[5,1,2,7,3,6,4,8]=>[8,4,6,3,7,2,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [1,2,7,5,6,3,4,8]=>[5,1,7,6,2,3,4,8]=>[8,4,3,2,6,7,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [4,8,1,2,3,6,5,7]=>[1,2,4,8,3,6,5,7]=>[7,5,6,3,8,4,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [1,3,4,2,5,6,7,8,9]=>[3,4,1,2,5,6,7,8,9]=>[9,8,7,6,5,2,1,4,3]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>2 [6,2,3,8,7,1,4,5]=>[8,6,2,3,1,4,7,5]=>[5,7,4,1,3,2,6,8]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [7,2,3,6,4,8,1,5]=>[2,7,3,4,6,1,8,5]=>[5,8,1,6,4,3,7,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>14 [4,5,1,3,2,6,8,7]=>[1,4,5,3,8,2,6,7]=>[7,6,2,8,3,5,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [5,3,1,6,2,7,8,4]=>[1,3,5,2,6,7,8,4]=>[4,8,7,6,2,5,3,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>10 [5,1,6,3,2,7,8,4]=>[5,3,1,2,6,7,8,4]=>[4,8,7,6,2,1,3,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [5,2,1,6,4,7,3,8]=>[2,5,6,1,4,7,3,8]=>[8,3,7,4,1,6,5,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [5,4,1,6,2,7,8,3]=>[5,1,4,2,6,7,8,3]=>[3,8,7,6,2,4,1,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [5,1,3,6,7,8,4,2]=>[1,5,6,7,8,3,4,2]=>[2,4,3,8,7,6,5,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [7,1,3,5,4,2,8,6]=>[5,3,4,1,2,7,8,6]=>[6,8,7,2,1,4,3,5]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [7,3,2,6,5,8,1,4]=>[7,3,6,2,5,1,8,4]=>[4,8,1,5,2,6,3,7]=>[[1,2,6,8],[3,4,7],[5]]=>16 [2,7,1,5,8,6,4,3]=>[2,7,8,5,6,4,1,3]=>[3,1,4,6,5,8,7,2]=>[[1,3,4,6],[2,5,7],[8]]=>14 [7,2,4,1,6,8,5,3]=>[2,7,1,6,8,4,5,3]=>[3,5,4,8,6,1,7,2]=>[[1,2,4,7],[3,5],[6,8]]=>14 [6,4,7,2,3,8,5,1]=>[4,2,6,3,7,8,5,1]=>[1,5,8,7,3,6,2,4]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [6,1,8,5,7,4,2,3]=>[8,6,5,1,7,2,4,3]=>[3,4,2,7,1,5,6,8]=>[[1,2,4,7,8],[3,6],[5]]=>18 [7,1,4,3,6,5,8,2]=>[1,7,4,6,3,5,8,2]=>[2,8,5,3,6,4,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [7,1,5,6,3,4,8,2]=>[5,1,7,6,3,4,8,2]=>[2,8,4,3,6,7,1,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [7,6,1,5,4,2,8,3]=>[1,7,6,2,5,4,8,3]=>[3,8,4,5,2,6,7,1]=>[[1,2,4,6,7],[3],[5],[8]]=>17 [4,5,8,6,7,2,3,1]=>[4,8,5,6,2,7,3,1]=>[1,3,7,2,6,5,8,4]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [2,4,6,7,8,9,10,5,3,1]=>[6,7,8,9,10,4,5,2,3,1]=>[1,3,2,5,4,10,9,8,7,6]=>[[1,2,4,6],[3,5,7],[8],[9],[10]]=>21 [1,8,3,4,2,6,5,7]=>[3,4,8,1,2,6,5,7]=>[7,5,6,2,1,8,4,3]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [5,2,8,6,3,4,1,7]=>[5,2,8,3,6,4,1,7]=>[7,1,4,6,3,8,2,5]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [7,4,8,6,3,5,1,2]=>[7,8,4,3,1,6,5,2]=>[2,5,6,1,3,4,8,7]=>[[1,2,3,7],[4,5,6,8]]=>22 [8,4,5,6,1,7,2,3]=>[4,1,5,6,2,8,7,3]=>[3,7,8,2,6,5,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>18 [7,1,5,4,2,3,8,6]=>[1,5,4,2,3,7,8,6]=>[6,8,7,3,2,4,5,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [6,2,4,8,5,7,3,1]=>[6,2,8,4,5,7,3,1]=>[1,3,7,5,4,8,2,6]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [6,1,8,4,2,5,7,3]=>[1,2,8,6,4,5,7,3]=>[3,7,5,4,6,8,2,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>14 [6,4,8,1,5,2,7,3]=>[4,1,6,2,8,5,7,3]=>[3,7,5,8,2,6,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>16 [2,3,4,7,8,6,1,5]=>[7,8,6,2,3,4,1,5]=>[5,1,4,3,2,6,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [3,7,6,8,4,1,2,5]=>[7,6,3,1,8,4,2,5]=>[5,2,4,8,1,3,6,7]=>[[1,3,4,8],[2,6,7],[5]]=>17 [5,8,6,4,2,7,3,1]=>[5,2,8,6,4,7,3,1]=>[1,3,7,4,6,8,2,5]=>[[1,2,3,5,6],[4,8],[7]]=>21 [5,8,3,2,6,7,4,1]=>[5,8,3,2,6,7,4,1]=>[1,4,7,6,2,3,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>18 [6,3,7,1,4,2,8,5]=>[3,6,1,4,2,7,8,5]=>[5,8,7,2,4,1,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>13 [7,1,2,6,8,4,5,3]=>[7,6,1,8,2,4,5,3]=>[3,5,4,2,8,1,6,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [8,2,4,6,7,3,1,5]=>[4,8,6,2,3,1,7,5]=>[5,7,1,3,2,6,8,4]=>[[1,2,6,7],[3,4],[5,8]]=>17 [4,3,2,7,6,9,10,8,5,1]=>[4,7,9,10,3,6,8,2,5,1]=>[1,5,2,8,6,3,10,9,7,4]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>20 [4,8,1,6,7,2,3,5]=>[4,1,6,2,8,7,3,5]=>[5,3,7,8,2,6,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>15 [4,7,2,1,5,8,3,6]=>[2,1,4,7,8,5,3,6]=>[6,3,5,8,7,4,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [3,8,1,4,5,7,6,2]=>[3,8,1,7,4,5,6,2]=>[2,6,5,4,7,1,8,3]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [5,7,2,1,3,4,8,6]=>[2,1,3,7,5,8,4,6]=>[6,4,8,5,7,3,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [4,7,3,1,5,8,2,6]=>[1,4,3,7,8,5,2,6]=>[6,2,5,8,7,3,4,1]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [4,6,3,5,1,8,2,7]=>[6,4,3,5,1,8,2,7]=>[7,2,8,1,5,3,4,6]=>[[1,3,7,8],[2,5],[4,6]]=>13 [8,7,2,5,3,6,4,1]=>[2,3,8,5,7,6,4,1]=>[1,4,6,7,5,8,3,2]=>[[1,2,3,4,6],[5],[7],[8]]=>21 [8,5,7,6,2,3,4,1]=>[2,8,5,3,7,6,4,1]=>[1,4,6,7,3,5,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>23 [3,5,1,4,8,7,6,2]=>[8,3,5,7,1,4,6,2]=>[2,6,4,1,7,5,3,8]=>[[1,2,5,8],[3,6],[4,7]]=>12 [8,7,5,1,6,2,4,3]=>[1,2,8,5,7,6,4,3]=>[3,4,6,7,5,8,2,1]=>[[1,2,3,4,6],[5],[7],[8]]=>21 [1,8,4,6,5,2,7,3]=>[6,4,1,5,8,7,2,3]=>[3,2,7,8,5,1,4,6]=>[[1,3,4],[2,5,8],[6,7]]=>14 [3,4,6,7,8,2,5,1]=>[6,7,8,3,4,2,5,1]=>[1,5,2,4,3,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>15 [2,5,6,7,3,8,1,4]=>[5,6,2,7,8,3,1,4]=>[4,1,3,8,7,2,6,5]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [1,7,5,4,6,8,3,2]=>[5,4,7,6,8,3,1,2]=>[2,1,3,8,6,7,4,5]=>[[1,3,4,6],[2,5,8],[7]]=>15 [5,2,3,7,8,6,1,4]=>[7,8,2,3,5,1,6,4]=>[4,6,1,5,3,2,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [2,8,3,4,7,1,6,5]=>[2,8,3,4,7,6,1,5]=>[5,1,6,7,4,3,8,2]=>[[1,3,4,7],[2,5],[6],[8]]=>13 [1,2,8,5,7,6,3,4]=>[8,5,1,7,6,2,3,4]=>[4,3,2,6,7,1,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [6,8,2,3,7,4,5,1]=>[6,2,3,8,4,7,5,1]=>[1,5,7,4,8,3,2,6]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [3,8,2,6,7,4,1,5]=>[3,8,6,2,7,4,1,5]=>[5,1,4,7,2,6,8,3]=>[[1,3,4,7],[2,6],[5,8]]=>16 [2,4,7,5,8,6,3,1]=>[4,7,8,5,6,2,3,1]=>[1,3,2,6,5,8,7,4]=>[[1,2,4,6],[3,5,7],[8]]=>15 [5,7,4,6,2,3,8,1]=>[7,5,4,2,6,3,8,1]=>[1,8,3,6,2,4,5,7]=>[[1,2,4,7,8],[3,6],[5]]=>18 [2,6,8,3,4,1,7,5]=>[2,3,8,6,4,7,1,5]=>[5,1,7,4,6,8,3,2]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [1,5,8,4,2,3,7,6]=>[1,5,4,8,7,2,3,6]=>[6,3,2,7,8,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>11 [2,5,6,3,7,4,8,1]=>[5,2,6,7,3,4,8,1]=>[1,8,4,3,7,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [2,6,5,3,8,4,7,1]=>[6,5,2,8,3,4,7,1]=>[1,7,4,3,8,2,5,6]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [2,6,5,3,7,4,8,1]=>[2,6,5,7,3,4,8,1]=>[1,8,4,3,7,5,6,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [7,1,6,3,5,4,8,2]=>[7,1,6,5,3,4,8,2]=>[2,8,4,3,5,6,1,7]=>[[1,2,5,6,8],[3],[4],[7]]=>15 [2,8,6,1,7,5,3,4]=>[2,8,6,1,7,5,3,4]=>[4,3,5,7,1,6,8,2]=>[[1,3,4,7],[2,6],[5,8]]=>16 [8,1,5,2,7,4,3,6]=>[1,5,8,4,2,3,7,6]=>[6,7,3,2,4,8,5,1]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [2,6,8,1,7,5,3,4]=>[8,2,6,1,7,5,3,4]=>[4,3,5,7,1,6,2,8]=>[[1,3,4,8],[2,6],[5,7]]=>15 [1,4,6,5,3,8,2,7]=>[6,4,5,8,3,1,2,7]=>[7,2,1,3,8,5,4,6]=>[[1,4,5,8],[2,6],[3,7]]=>10 [3,1,8,7,5,6,4,2]=>[5,8,7,6,1,3,4,2]=>[2,4,3,1,6,7,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>16 [1,8,7,2,6,4,5,3]=>[1,8,7,4,6,5,2,3]=>[3,2,5,6,4,7,8,1]=>[[1,3,4,6,7],[2,5],[8]]=>16 [8,7,2,1,6,4,5,3]=>[8,7,2,1,4,6,5,3]=>[3,5,6,4,1,2,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>19 [1,8,4,7,6,2,5,3]=>[4,8,7,1,6,5,2,3]=>[3,2,5,6,1,7,8,4]=>[[1,3,4,6,7],[2,8],[5]]=>16 [8,7,1,6,4,3,5,2]=>[8,1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1,8]=>[[1,2,3,6,8],[4,5],[7]]=>21 [8,4,1,7,3,6,5,2]=>[4,8,7,1,3,6,5,2]=>[2,5,6,3,1,7,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>18 [5,4,3,1,8,2,6,7]=>[5,4,1,8,3,2,6,7]=>[7,6,2,3,8,1,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [3,7,1,4,6,2,5,8]=>[7,1,3,6,4,2,5,8]=>[8,5,2,4,6,3,1,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>10 [8,2,5,7,1,6,4,3]=>[5,8,2,7,6,1,4,3]=>[3,4,1,6,7,2,8,5]=>[[1,2,4,5,7],[3,6,8]]=>18 [8,3,6,2,1,5,4,7]=>[3,2,6,5,1,4,8,7]=>[7,8,4,1,5,6,2,3]=>[[1,2,6],[3,5,8],[4,7]]=>15 [4,7,2,3,6,8,5,1]=>[2,4,7,6,8,3,5,1]=>[1,5,3,8,6,7,4,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [4,5,2,3,7,8,6,1]=>[4,2,5,7,8,3,6,1]=>[1,6,3,8,7,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [4,3,8,6,1,7,5,2]=>[4,3,8,6,7,1,5,2]=>[2,5,1,7,6,8,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>16 [8,5,2,3,4,7,6,1]=>[2,3,5,8,4,7,6,1]=>[1,6,7,4,8,5,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [4,3,8,5,2,7,6,1]=>[4,3,8,5,7,2,6,1]=>[1,6,2,7,5,8,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>16 [2,4,6,7,3,5,1,8]=>[6,7,4,2,3,5,1,8]=>[8,1,5,3,2,4,7,6]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [4,3,7,6,2,5,8,1]=>[7,4,6,3,2,5,8,1]=>[1,8,5,2,3,6,4,7]=>[[1,2,5,6,8],[3,7],[4]]=>15 [3,8,4,6,2,7,5,1]=>[6,3,4,8,7,2,5,1]=>[1,5,2,7,8,4,3,6]=>[[1,2,4,5],[3,6,8],[7]]=>17 [3,8,5,2,6,7,4,1]=>[5,3,6,8,7,2,4,1]=>[1,4,2,7,8,6,3,5]=>[[1,2,4,5],[3,6,8],[7]]=>17 [8,5,4,7,3,1,6,2]=>[5,1,8,4,3,7,6,2]=>[2,6,7,3,4,8,1,5]=>[[1,2,3,6],[4,5,8],[7]]=>21 [2,6,5,4,1,8,7,3]=>[6,5,4,8,2,7,1,3]=>[3,1,7,2,8,4,5,6]=>[[1,3,5,7,8],[2,4,6]]=>13 [2,6,5,4,1,7,3,8]=>[6,5,4,2,7,1,3,8]=>[8,3,1,7,2,4,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>11 [5,6,4,1,2,8,7,3]=>[1,5,2,6,8,4,7,3]=>[3,7,4,8,6,2,5,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [7,6,4,1,5,8,3,2]=>[1,7,4,6,5,8,3,2]=>[2,3,8,5,6,4,7,1]=>[[1,2,3,5,7],[4],[6],[8]]=>19 [6,7,4,1,5,2,3,8]=>[6,1,4,2,7,5,3,8]=>[8,3,5,7,2,4,1,6]=>[[1,3,4],[2,6,8],[5],[7]]=>15 [8,6,3,5,4,1,7,2]=>[6,3,1,5,4,8,7,2]=>[2,7,8,4,5,1,3,6]=>[[1,2,3,8],[4,5],[6,7]]=>20 [8,6,2,5,3,1,4,7]=>[2,6,3,1,5,4,8,7]=>[7,8,4,5,1,3,6,2]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [8,4,7,3,1,2,5,6]=>[1,4,3,2,8,5,7,6]=>[6,7,5,8,2,3,4,1]=>[[1,2,4],[3,6,7],[5],[8]]=>17 [5,6,8,4,3,7,2,1]=>[8,5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5,8]=>[[1,2,3,5,6,8],[4],[7]]=>21 [1,4,8,7,6,2,5,3]=>[4,8,7,6,1,5,2,3]=>[3,2,5,1,6,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>15 [8,6,5,3,1,2,7,4]=>[1,3,2,6,5,8,7,4]=>[4,7,8,5,6,2,3,1]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [7,4,6,5,3,2,8,1]=>[7,4,6,5,3,2,8,1]=>[1,8,2,3,5,6,4,7]=>[[1,2,4,5,6,8],[3],[7]]=>20 [1,7,4,2,8,5,6,3]=>[7,1,4,5,8,6,2,3]=>[3,2,6,8,5,4,1,7]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [6,2,5,7,1,4,3,8]=>[6,5,2,7,1,4,3,8]=>[8,3,4,1,7,2,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>13 [4,8,5,3,1,2,6,7]=>[4,1,5,3,2,8,6,7]=>[7,6,8,2,3,5,1,4]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [8,5,2,4,6,1,3,7]=>[5,2,4,1,6,3,8,7]=>[7,8,3,6,1,4,2,5]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [6,4,7,2,1,3,8,5]=>[4,2,1,6,3,7,8,5]=>[5,8,7,3,6,1,2,4]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [6,7,3,1,2,4,8,5]=>[1,3,2,6,4,7,8,5]=>[5,8,7,4,6,2,3,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>13 [3,1,8,7,6,2,5,4]=>[3,8,7,6,1,5,2,4]=>[4,2,5,1,6,7,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>15 [1,3,8,6,7,2,5,4]=>[6,3,8,7,5,1,2,4]=>[4,2,1,5,7,8,3,6]=>[[1,4,5,6],[2,7,8],[3]]=>13 [5,2,3,6,1,8,4,7]=>[2,3,5,6,1,8,4,7]=>[7,4,8,1,6,5,3,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>10 [1,5,7,6,8,4,2,3]=>[7,5,6,1,8,4,2,3]=>[3,2,4,8,1,6,5,7]=>[[1,3,4,8],[2,6],[5,7]]=>15 [2,7,4,6,8,5,3,1]=>[7,4,6,8,5,2,3,1]=>[1,3,2,5,8,6,4,7]=>[[1,2,4,5,8],[3,6],[7]]=>17 [3,7,6,8,5,1,4,2]=>[7,6,3,8,5,1,4,2]=>[2,4,1,5,8,3,6,7]=>[[1,2,4,5,8],[3,6,7]]=>19 [6,2,3,4,1,5,8,7]=>[2,3,4,1,6,8,5,7]=>[7,5,8,6,1,4,3,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>9 [2,3,4,5,7,6,8,9,1]=>[7,2,3,4,5,6,8,9,1]=>[1,9,8,6,5,4,3,2,7]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>9 [8,1,6,5,4,3,7,2]=>[8,6,5,1,4,3,7,2]=>[2,7,3,4,1,5,6,8]=>[[1,2,4,6,7,8],[3],[5]]=>18 [8,1,5,2,6,4,7,3]=>[1,8,2,5,6,4,7,3]=>[3,7,4,6,5,2,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>14 [4,1,7,2,5,3,6,8]=>[1,4,7,2,5,3,6,8]=>[8,6,3,5,2,7,4,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [1,7,3,6,2,4,8,5]=>[7,1,3,2,6,8,4,5]=>[5,4,8,6,2,3,1,7]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [4,6,7,5,1,2,3,8]=>[6,1,7,4,2,5,3,8]=>[8,3,5,2,4,7,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [4,3,8,5,2,1,7,6]=>[4,3,8,5,2,7,1,6]=>[6,1,7,2,5,8,3,4]=>[[1,3,5,6],[2,4,8],[7]]=>14 [5,3,4,7,6,2,1,8]=>[3,5,7,4,6,2,1,8]=>[8,1,2,6,4,7,5,3]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [5,3,4,6,1,7,2,8]=>[3,5,4,1,6,7,2,8]=>[8,2,7,6,1,4,5,3]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [7,2,5,6,8,1,4,3]=>[5,7,6,2,8,1,4,3]=>[3,4,1,8,2,6,7,5]=>[[1,2,4,7],[3,5,6],[8]]=>17 [8,2,1,4,5,7,3,6]=>[8,2,4,5,1,3,7,6]=>[6,7,3,1,5,4,2,8]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [8,7,5,2,6,4,1,3]=>[2,8,5,1,7,6,4,3]=>[3,4,6,7,1,5,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>23 [4,1,8,2,7,5,6,3]=>[8,7,4,1,2,5,6,3]=>[3,6,5,2,1,4,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [7,6,8,2,4,3,5,1]=>[7,2,6,4,3,8,5,1]=>[1,5,8,3,4,6,2,7]=>[[1,2,3,6,8],[4,5],[7]]=>21 [7,4,5,3,8,1,6,2]=>[4,5,3,1,7,8,6,2]=>[2,6,8,7,1,3,5,4]=>[[1,2,3],[4,6,7],[5],[8]]=>18 [7,3,6,1,4,2,8,5]=>[1,3,7,4,2,6,8,5]=>[5,8,6,2,4,7,3,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [8,7,2,6,4,5,1,3]=>[2,8,7,4,1,6,5,3]=>[3,5,6,1,4,7,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>22 [2,6,4,8,3,5,1,7]=>[2,6,8,4,3,5,1,7]=>[7,1,5,3,4,8,6,2]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [1,4,8,5,3,2,7,6]=>[4,5,3,8,7,1,2,6]=>[6,2,1,7,8,3,5,4]=>[[1,4,5],[2,6,7],[3,8]]=>11 [1,2,4,8,5,7,3,6]=>[8,4,7,5,1,2,3,6]=>[6,3,2,1,5,7,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [7,3,4,1,8,2,5,6]=>[3,4,1,7,2,5,8,6]=>[6,8,5,2,7,1,4,3]=>[[1,2],[3,5],[4,7],[6,8]]=>13 [7,3,6,5,1,8,4,2]=>[3,7,6,1,5,8,4,2]=>[2,4,8,5,1,6,7,3]=>[[1,2,3,6,7],[4,8],[5]]=>18 [5,7,2,1,4,8,6,3]=>[2,5,1,7,8,4,6,3]=>[3,6,4,8,7,1,5,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [3,6,5,2,7,1,8,4]=>[6,5,3,7,2,8,1,4]=>[4,1,8,2,7,3,5,6]=>[[1,3,5,7,8],[2,4],[6]]=>13 [3,5,7,4,1,8,6,2]=>[7,5,3,8,1,4,6,2]=>[2,6,4,1,8,3,5,7]=>[[1,2,5,8],[3,6,7],[4]]=>14 [6,5,7,2,1,3,8,4]=>[2,1,6,5,3,7,8,4]=>[4,8,7,3,5,6,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [4,1,2,6,7,5,8,3]=>[6,7,1,2,4,5,8,3]=>[3,8,5,4,2,1,7,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [4,3,2,7,8,5,6,1]=>[4,7,8,3,2,5,6,1]=>[1,6,5,2,3,8,7,4]=>[[1,2,5,6],[3,7],[4,8]]=>14 [7,5,6,4,1,8,3,2]=>[1,5,7,6,4,8,3,2]=>[2,3,8,4,6,7,5,1]=>[[1,2,3,5,6],[4],[7],[8]]=>20 [7,1,3,5,6,8,4,2]=>[1,7,5,6,8,3,4,2]=>[2,4,3,8,6,5,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14 [3,1,2,8,4,6,5,7]=>[1,3,8,6,2,4,5,7]=>[7,5,4,2,6,8,3,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [2,5,4,3,8,6,1,7]=>[5,8,4,2,3,6,1,7]=>[7,1,6,3,2,4,8,5]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [3,8,5,7,4,2,6,1]=>[8,7,3,5,4,2,6,1]=>[1,6,2,4,5,3,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>19 [5,4,8,3,1,2,7,6]=>[1,8,5,4,3,7,2,6]=>[6,2,7,3,4,5,8,1]=>[[1,3,5,6,7],[2,4],[8]]=>15 [5,1,7,4,6,3,8,2]=>[7,5,4,6,1,3,8,2]=>[2,8,3,1,6,4,5,7]=>[[1,2,5,7,8],[3,6],[4]]=>14 [7,2,5,1,6,4,8,3]=>[2,5,7,6,1,4,8,3]=>[3,8,4,1,6,7,5,2]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [2,7,1,5,6,4,8,3]=>[2,7,5,6,4,8,1,3]=>[3,1,8,4,6,5,7,2]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [1,5,7,8,4,6,3,2]=>[7,8,5,4,6,3,1,2]=>[2,1,3,6,4,5,8,7]=>[[1,3,4,6,7],[2,5,8]]=>16 [3,7,2,8,1,5,6,4]=>[7,3,2,5,8,6,1,4]=>[4,1,6,8,5,2,3,7]=>[[1,3,4,8],[2,5,7],[6]]=>14 [7,3,2,5,1,6,8,4]=>[7,3,2,1,5,6,8,4]=>[4,8,6,5,1,2,3,7]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [3,5,1,7,6,4,8,2]=>[7,3,5,6,1,4,8,2]=>[2,8,4,1,6,5,3,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12 [8,7,4,2,1,6,5,3]=>[2,8,1,4,7,6,5,3]=>[3,5,6,7,4,1,8,2]=>[[1,2,3,4,7],[5,8],[6]]=>20 [3,5,2,8,7,1,6,4]=>[8,5,7,3,2,6,1,4]=>[4,1,6,2,3,7,5,8]=>[[1,3,5,6,8],[2,4,7]]=>14 [3,7,6,5,4,1,8,2]=>[7,6,5,3,1,4,8,2]=>[2,8,4,1,3,5,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>17 [4,6,5,3,1,8,7,2]=>[6,4,1,5,8,3,7,2]=>[2,7,3,8,5,1,4,6]=>[[1,2,4,8],[3,5],[6,7]]=>15 [4,5,2,6,7,3,8,1]=>[4,2,5,6,7,3,8,1]=>[1,8,3,7,6,5,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>13 [8,6,7,1,4,3,5,2]=>[6,4,1,3,8,7,5,2]=>[2,5,7,8,3,1,4,6]=>[[1,2,3,4],[5,7,8],[6]]=>21 [8,6,7,2,1,3,5,4]=>[2,1,3,6,8,7,5,4]=>[4,5,7,8,6,3,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [8,6,4,5,7,1,3,2]=>[4,1,6,5,8,7,3,2]=>[2,3,7,8,5,6,1,4]=>[[1,2,3,4],[5,6],[7,8]]=>22 [8,7,3,2,6,5,4,1]=>[8,3,7,2,6,5,4,1]=>[1,4,5,6,2,7,3,8]=>[[1,2,3,4,6,8],[5,7]]=>22 [8,5,1,6,4,7,3,2]=>[1,8,5,6,4,7,3,2]=>[2,3,7,4,6,5,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>19 [8,3,4,1,2,7,6,5]=>[3,8,1,4,7,2,6,5]=>[5,6,2,7,4,1,8,3]=>[[1,2,4,7],[3,5],[6,8]]=>14 [8,5,6,1,7,4,2,3]=>[5,6,1,2,8,7,4,3]=>[3,4,7,8,2,1,6,5]=>[[1,2,3,4],[5,7],[6,8]]=>20 [5,4,1,3,8,7,6,2]=>[5,8,1,4,7,3,6,2]=>[2,6,3,7,4,1,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>14 [6,4,1,2,5,7,8,3]=>[1,2,4,6,5,7,8,3]=>[3,8,7,5,6,4,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>11 [6,1,5,4,2,7,3,8]=>[1,6,5,2,4,7,3,8]=>[8,3,7,4,2,5,6,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>11 [3,4,6,1,8,2,7,5]=>[6,3,4,8,1,7,2,5]=>[5,2,7,1,8,4,3,6]=>[[1,3,5],[2,6,8],[4,7]]=>11 [5,3,1,4,7,6,2,8]=>[1,3,5,7,4,6,2,8]=>[8,2,6,4,7,5,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [6,4,5,2,7,1,3,8]=>[4,2,6,5,1,7,3,8]=>[8,3,7,1,5,6,2,4]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [7,4,3,5,1,6,2,8]=>[4,3,1,5,7,6,2,8]=>[8,2,6,7,5,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [7,5,3,6,2,1,4,8]=>[3,5,2,1,7,6,4,8]=>[8,4,6,7,1,2,5,3]=>[[1,3,4],[2,6,7],[5],[8]]=>16 [6,4,3,7,1,8,2,5]=>[4,3,1,6,7,2,8,5]=>[5,8,2,7,6,1,3,4]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [3,1,2,7,6,4,5,8]=>[7,3,1,6,2,4,5,8]=>[8,5,4,2,6,1,3,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>7 [5,6,1,7,2,4,3,8]=>[5,1,2,6,7,4,3,8]=>[8,3,4,7,6,2,1,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [2,6,5,7,1,3,4,8]=>[6,5,2,1,7,3,4,8]=>[8,4,3,7,1,2,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [2,3,7,1,5,6,4,8]=>[2,3,7,5,6,1,4,8]=>[8,4,1,6,5,7,3,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [2,6,5,3,4,1,7,8]=>[2,6,5,3,4,1,7,8]=>[8,7,1,4,3,5,6,2]=>[[1,4,6,7],[2],[3],[5],[8]]=>10 [4,6,1,5,2,8,7,3]=>[4,1,6,8,2,5,7,3]=>[3,7,5,2,8,6,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [4,6,1,5,2,7,8,3]=>[4,1,6,2,5,7,8,3]=>[3,8,7,5,2,6,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>11 [3,6,8,2,7,5,1,4]=>[6,8,3,7,5,2,1,4]=>[4,1,2,5,7,3,8,6]=>[[1,3,4,5,7],[2,6,8]]=>17 [5,6,4,1,7,2,8,3]=>[1,5,6,4,2,7,8,3]=>[3,8,7,2,4,6,5,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>14 [1,4,5,3,6,8,2,7]=>[4,5,8,3,6,1,2,7]=>[7,2,1,6,3,8,5,4]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [3,4,1,6,8,5,7,2]=>[8,3,6,1,4,5,7,2]=>[2,7,5,4,1,6,3,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [3,8,6,1,5,7,4,2]=>[6,3,5,8,7,1,4,2]=>[2,4,1,7,8,5,3,6]=>[[1,2,4,5],[3,6,8],[7]]=>17 [3,4,1,6,7,5,8,2]=>[3,6,7,1,4,5,8,2]=>[2,8,5,4,1,7,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [3,5,8,2,1,6,4,7]=>[5,3,2,8,6,1,4,7]=>[7,4,1,6,8,2,3,5]=>[[1,4,5,8],[2,6,7],[3]]=>12 [8,1,6,3,4,2,5,7]=>[1,6,3,4,2,5,8,7]=>[7,8,5,2,4,3,6,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [3,4,1,5,8,6,7,2]=>[8,3,1,4,5,6,7,2]=>[2,7,6,5,4,1,3,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [2,5,8,3,6,1,7,4]=>[2,5,8,6,3,7,1,4]=>[4,1,7,3,6,8,5,2]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [5,1,6,2,4,7,3,8]=>[1,5,6,2,4,7,3,8]=>[8,3,7,4,2,6,5,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [6,1,4,7,2,5,3,8]=>[6,1,4,7,2,5,3,8]=>[8,3,5,2,7,4,1,6]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [2,5,7,3,6,1,4,8]=>[5,7,2,6,3,1,4,8]=>[8,4,1,3,6,2,7,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11 [7,4,2,3,1,6,8,5]=>[2,4,3,7,1,6,8,5]=>[5,8,6,1,7,3,4,2]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [3,7,4,5,1,8,2,6]=>[3,4,7,5,1,8,2,6]=>[6,2,8,1,5,7,4,3]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [6,7,2,5,4,3,8,1]=>[6,7,2,5,4,3,8,1]=>[1,8,3,4,5,2,7,6]=>[[1,2,4,5,7],[3,8],[6]]=>18 [3,7,5,6,4,1,2,8]=>[5,7,6,3,1,4,2,8]=>[8,2,4,1,3,6,7,5]=>[[1,3,6,7],[2,5,8],[4]]=>15 [4,3,6,2,5,8,1,7]=>[4,6,3,8,2,5,1,7]=>[7,1,5,2,8,3,6,4]=>[[1,3,5,7],[2,6],[4,8]]=>12 [8,9,7,6,5,4,2,1,3]=>[8,2,1,9,7,6,5,4,3]=>[3,4,5,6,7,9,1,2,8]=>[[1,2,3,4,5,6],[7,8,9]]=>33 [8,9,7,6,5,4,2,3,1]=>[8,2,9,7,6,5,4,3,1]=>[1,3,4,5,6,7,9,2,8]=>[[1,2,3,4,5,6,7],[8,9]]=>34 [1,6,7,2,8,5,3,4]=>[6,7,1,2,8,5,3,4]=>[4,3,5,8,2,1,7,6]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [1,6,4,5,7,2,8,3]=>[4,6,5,1,7,8,2,3]=>[3,2,8,7,1,5,6,4]=>[[1,3,7],[2,4],[5,6],[8]]=>11 [1,7,5,6,4,8,3,2]=>[5,7,6,4,8,3,1,2]=>[2,1,3,8,4,6,7,5]=>[[1,3,4,6,7],[2,5],[8]]=>16 [1,5,6,7,3,2,4,8]=>[5,1,6,7,3,2,4,8]=>[8,4,2,3,7,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>10 [4,3,5,7,8,1,2,6]=>[4,7,8,3,1,5,2,6]=>[6,2,5,1,3,8,7,4]=>[[1,3,6],[2,5,7],[4,8]]=>13 [5,4,1,6,8,3,2,7]=>[5,8,1,4,6,3,2,7]=>[7,2,3,6,4,1,8,5]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [5,4,1,3,7,6,2,8]=>[5,1,4,7,3,6,2,8]=>[8,2,6,3,7,4,1,5]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [7,4,6,5,8,3,1,2]=>[7,4,6,5,1,8,3,2]=>[2,3,8,1,5,6,4,7]=>[[1,2,3,6,8],[4,5],[7]]=>21 [4,3,1,6,8,5,2,7]=>[8,1,4,6,3,5,2,7]=>[7,2,5,3,6,4,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [5,2,4,3,8,7,1,6]=>[5,8,2,4,7,3,1,6]=>[6,1,3,7,4,2,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>13 [7,6,8,2,1,5,3,4]=>[2,7,1,6,3,8,5,4]=>[4,5,8,3,6,1,7,2]=>[[1,2,3,7],[4,5],[6,8]]=>19 [3,8,2,4,1,6,5,7]=>[3,2,4,8,1,6,5,7]=>[7,5,6,1,8,4,2,3]=>[[1,3,5],[2,6,8],[4],[7]]=>11 [2,4,3,5,8,6,1,7]=>[8,4,2,3,5,6,1,7]=>[7,1,6,5,3,2,4,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>9 [7,1,6,8,3,2,4,5]=>[7,1,6,3,2,4,8,5]=>[5,8,4,2,3,6,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [5,7,2,6,4,1,8,3]=>[7,2,5,1,6,4,8,3]=>[3,8,4,6,1,5,2,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [7,4,3,1,6,8,2,5]=>[1,4,7,3,6,2,8,5]=>[5,8,2,6,3,7,4,1]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [7,6,4,8,5,3,1,2]=>[4,7,6,1,8,5,3,2]=>[2,3,5,8,1,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>23 [8,2,1,6,4,7,3,5]=>[2,4,8,6,1,3,7,5]=>[5,7,3,1,6,8,4,2]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [1,3,8,6,5,2,7,4]=>[6,5,3,8,7,1,2,4]=>[4,2,1,7,8,3,5,6]=>[[1,4,5,8],[2,6,7],[3]]=>12 [2,7,3,8,5,6,4,1]=>[7,2,8,5,6,3,4,1]=>[1,4,3,6,5,8,2,7]=>[[1,2,4,6],[3,5,8],[7]]=>16 [1,2,8,5,7,4,6,3]=>[8,5,4,7,6,1,2,3]=>[3,2,1,6,7,4,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>12 [3,8,4,5,6,7,1,2]=>[3,4,5,8,6,1,7,2]=>[2,7,1,6,8,5,4,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [5,7,1,8,3,2,6,4]=>[1,5,7,3,8,2,6,4]=>[4,6,2,8,3,7,5,1]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [7,2,3,5,1,6,4,8]=>[2,7,3,1,5,6,4,8]=>[8,4,6,5,1,3,7,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [2,1,3,8,6,4,7,5]=>[6,2,8,7,1,3,4,5]=>[5,4,3,1,7,8,2,6]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [7,4,8,1,3,2,5,6]=>[7,1,4,3,2,5,8,6]=>[6,8,5,2,3,4,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [4,7,6,1,3,2,5,8]=>[7,1,6,4,3,2,5,8]=>[8,5,2,3,4,6,1,7]=>[[1,4,5,6,8],[2],[3],[7]]=>13 [8,2,5,4,3,7,1,6]=>[5,4,8,2,3,1,7,6]=>[6,7,1,3,2,8,4,5]=>[[1,2,6,8],[3,4,7],[5]]=>16 [5,8,4,3,7,6,2,1]=>[5,4,8,7,3,6,2,1]=>[1,2,6,3,7,8,4,5]=>[[1,2,3,5,6],[4,7,8]]=>21 [1,5,8,6,4,3,7,2]=>[5,8,6,4,3,7,1,2]=>[2,1,7,3,4,6,8,5]=>[[1,3,5,6,7],[2,4],[8]]=>15 [5,3,8,6,1,2,7,4]=>[3,1,8,5,2,6,7,4]=>[4,7,6,2,5,8,1,3]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [5,8,1,4,6,2,7,3]=>[8,1,5,4,2,6,7,3]=>[3,7,6,2,4,5,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [3,7,6,2,1,4,8,5]=>[3,2,1,7,6,8,4,5]=>[5,4,8,6,7,1,2,3]=>[[1,3,5],[2,4,8],[6,7]]=>13 [4,6,2,3,7,1,8,5]=>[2,6,4,7,3,8,1,5]=>[5,1,8,3,7,4,6,2]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [6,8,7,5,1,3,4,2]=>[6,1,8,3,7,5,4,2]=>[2,4,5,7,3,8,1,6]=>[[1,2,3,4,6],[5,8],[7]]=>22 [6,4,3,2,7,8,5,1]=>[4,3,2,6,7,8,5,1]=>[1,5,8,7,6,2,3,4]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [7,8,6,4,2,5,3,1]=>[2,7,4,8,6,5,3,1]=>[1,3,5,6,8,4,7,2]=>[[1,2,3,4,5],[6,7],[8]]=>24 [6,4,5,8,7,1,3,2]=>[4,6,5,8,1,7,3,2]=>[2,3,7,1,8,5,6,4]=>[[1,2,3,5],[4,6,7],[8]]=>19 [7,5,6,3,2,1,8,4]=>[5,3,2,1,7,6,8,4]=>[4,8,6,7,1,2,3,5]=>[[1,2,4,8],[3,6,7],[5]]=>18 [7,5,2,3,6,1,8,4]=>[2,3,5,1,7,6,8,4]=>[4,8,6,7,1,5,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>15 [5,3,8,2,7,4,6,1]=>[5,8,3,2,7,4,6,1]=>[1,6,4,7,2,3,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>17 [6,1,3,2,5,8,4,7]=>[3,6,8,1,2,5,4,7]=>[7,4,5,2,1,8,6,3]=>[[1,3,6],[2,7],[4,8],[5]]=>9 [7,1,5,4,2,6,8,3]=>[1,7,2,5,4,6,8,3]=>[3,8,6,4,5,2,7,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>13 [6,4,2,1,5,7,8,3]=>[2,1,4,6,5,7,8,3]=>[3,8,7,5,6,4,1,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [6,3,2,8,4,7,5,1]=>[3,6,8,2,4,7,5,1]=>[1,5,7,4,2,8,6,3]=>[[1,2,3,6],[4,7],[5,8]]=>16 [5,4,7,2,1,3,8,6]=>[5,2,1,7,4,8,3,6]=>[6,3,8,4,7,1,2,5]=>[[1,3,5],[2,4,8],[6,7]]=>13 [2,6,4,5,7,1,8,3]=>[4,6,5,7,2,8,1,3]=>[3,1,8,2,7,5,6,4]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [4,6,7,5,8,2,1,3]=>[6,7,4,5,2,1,8,3]=>[3,8,1,2,5,4,7,6]=>[[1,2,5,7],[3,4,8],[6]]=>18 [5,6,3,1,4,7,2,8]=>[1,5,3,6,4,7,2,8]=>[8,2,7,4,6,3,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [2,7,8,3,5,6,4,1]=>[7,2,5,8,6,3,4,1]=>[1,4,3,6,8,5,2,7]=>[[1,2,4,5],[3,6,8],[7]]=>17 [2,3,5,8,4,7,6,1]=>[5,8,7,2,3,4,6,1]=>[1,6,4,3,2,7,8,5]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [8,2,6,5,1,4,7,3]=>[2,8,6,1,5,4,7,3]=>[3,7,4,5,1,6,8,2]=>[[1,2,4,6,7],[3,8],[5]]=>17 [5,6,3,1,8,4,2,7]=>[5,3,1,6,8,4,2,7]=>[7,2,4,8,6,1,3,5]=>[[1,3,4],[2,5,8],[6,7]]=>14 [7,1,6,4,3,8,2,5]=>[4,3,7,6,1,2,8,5]=>[5,8,2,1,6,7,3,4]=>[[1,2,6],[3,5,8],[4,7]]=>15 [6,7,2,1,4,8,3,5]=>[2,6,1,4,7,3,8,5]=>[5,8,3,7,4,1,6,2]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [2,5,7,6,4,1,8,3]=>[7,5,6,4,2,8,1,3]=>[3,1,8,2,4,6,5,7]=>[[1,3,5,6,8],[2,4],[7]]=>14 [1,2,5,3,7,8,6,4]=>[7,8,1,5,6,2,3,4]=>[4,3,2,6,5,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>7 [6,1,3,7,2,8,4,5]=>[6,3,7,1,2,4,8,5]=>[5,8,4,2,1,7,3,6]=>[[1,2,8],[3,6],[4,7],[5]]=>11 [2,8,5,3,1,7,4,6]=>[2,3,8,5,1,7,4,6]=>[6,4,7,1,5,8,3,2]=>[[1,3,6],[2,5],[4,7],[8]]=>13 [2,1,3,4,5,8,6,7,9]=>[8,2,1,3,4,5,6,7,9]=>[9,7,6,5,4,3,1,2,8]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>3 [1,4,7,6,5,2,3,8]=>[7,6,4,1,5,2,3,8]=>[8,3,2,5,1,4,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [8,2,7,4,5,1,3,6]=>[2,8,4,1,5,3,7,6]=>[6,7,3,5,1,4,8,2]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [6,2,5,4,7,3,1,8]=>[6,5,2,4,7,3,1,8]=>[8,1,3,7,4,2,5,6]=>[[1,3,4,7,8],[2],[5],[6]]=>14 [6,7,4,1,3,5,8,2]=>[6,1,4,3,7,5,8,2]=>[2,8,5,7,3,4,1,6]=>[[1,2,4,8],[3,6],[5],[7]]=>16 [6,8,2,5,4,7,3,1]=>[2,6,8,5,4,7,3,1]=>[1,3,7,4,5,8,6,2]=>[[1,2,3,5,6],[4,7],[8]]=>20 [6,3,4,1,8,2,5,7]=>[3,4,1,6,2,8,5,7]=>[7,5,8,2,6,1,4,3]=>[[1,3],[2,5],[4,7],[6,8]]=>12 [5,1,8,7,3,6,2,4]=>[5,8,7,3,1,2,6,4]=>[4,6,2,1,3,7,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>16 [4,6,8,2,3,1,7,5]=>[2,8,6,4,3,7,1,5]=>[5,1,7,3,4,6,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>15 [6,4,2,1,3,7,5,8]=>[2,1,4,3,6,7,5,8]=>[8,5,7,6,3,4,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>10 [5,3,2,7,6,1,8,4]=>[3,7,2,5,1,6,8,4]=>[4,8,6,1,5,2,7,3]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [5,7,4,2,6,1,8,3]=>[2,7,5,4,1,6,8,3]=>[3,8,6,1,4,5,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [6,4,7,1,2,3,8,5]=>[1,4,2,6,3,7,8,5]=>[5,8,7,3,6,2,4,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>13 [6,7,1,2,5,8,4,3]=>[6,7,1,2,5,8,4,3]=>[3,4,8,5,2,1,7,6]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [8,1,4,6,5,2,3,7]=>[6,4,1,5,2,3,8,7]=>[7,8,3,2,5,1,4,6]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [4,8,6,3,7,2,5,1]=>[6,4,8,7,3,2,5,1]=>[1,5,2,3,7,8,4,6]=>[[1,2,4,5,6],[3,7,8]]=>20 [6,1,7,3,8,4,5,2]=>[1,6,7,3,8,4,5,2]=>[2,5,4,8,3,7,6,1]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [8,2,3,1,6,4,7,5]=>[2,8,3,1,4,6,7,5]=>[5,7,6,4,1,3,8,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [1,8,7,2,3,4,6,5]=>[8,1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>12 [1,8,3,7,6,2,5,4]=>[1,8,7,6,3,5,2,4]=>[4,2,5,3,6,7,8,1]=>[[1,3,5,6,7],[2,4],[8]]=>15 [6,3,1,5,4,7,2,8]=>[6,1,3,5,4,7,2,8]=>[8,2,7,4,5,3,1,6]=>[[1,3,5,8],[2],[4],[6],[7]]=>11 [2,3,5,8,4,1,6,7]=>[8,2,5,3,4,1,6,7]=>[7,6,1,4,3,5,2,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>9 [2,5,8,4,3,6,7,1]=>[8,5,2,4,3,6,7,1]=>[1,7,6,3,4,2,5,8]=>[[1,2,5,7,8],[3],[4],[6]]=>14 [5,8,4,6,7,2,3,1]=>[5,4,8,6,2,7,3,1]=>[1,3,7,2,6,8,4,5]=>[[1,2,3,6],[4,5,8],[7]]=>21 [8,2,3,6,7,4,5,1]=>[8,2,6,3,4,7,5,1]=>[1,5,7,4,3,6,2,8]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [6,8,3,7,2,4,5,1]=>[6,3,2,8,4,7,5,1]=>[1,5,7,4,8,2,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>20 [8,6,2,1,5,4,7,3]=>[6,2,5,1,4,8,7,3]=>[3,7,8,4,1,5,2,6]=>[[1,2,3,8],[4,6],[5,7]]=>17 [5,6,4,2,1,7,3,8]=>[5,2,1,6,4,7,3,8]=>[8,3,7,4,6,1,2,5]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [2,5,7,6,3,8,4,1]=>[7,5,2,6,8,3,4,1]=>[1,4,3,8,6,2,5,7]=>[[1,2,4,8],[3,5],[6,7]]=>15 [4,5,7,8,6,2,3,1]=>[7,8,4,5,2,6,3,1]=>[1,3,6,2,5,4,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>19 [6,4,7,1,2,5,3,8]=>[1,4,2,6,7,5,3,8]=>[8,3,5,7,6,2,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [7,2,6,4,3,1,8,5]=>[7,2,4,3,1,6,8,5]=>[5,8,6,1,3,4,2,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15 [6,8,5,2,1,4,3,7]=>[2,8,1,6,5,4,3,7]=>[7,3,4,5,6,1,8,2]=>[[1,3,4,5,7],[2,8],[6]]=>17 [8,2,3,6,4,7,1,5]=>[2,3,8,4,6,1,7,5]=>[5,7,1,6,4,8,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [8,4,6,5,2,7,1,3]=>[6,4,2,5,1,8,7,3]=>[3,7,8,1,5,2,4,6]=>[[1,2,3,8],[4,5,7],[6]]=>20 [8,2,1,5,7,4,3,6]=>[8,5,2,4,1,3,7,6]=>[6,7,3,1,4,2,5,8]=>[[1,2,7,8],[3,5],[4,6]]=>14 [8,7,1,2,3,5,4,6]=>[5,1,2,3,4,8,7,6]=>[6,7,8,4,3,2,1,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [1,8,7,5,4,2,3,6]=>[1,8,7,2,5,4,3,6]=>[6,3,4,5,2,7,8,1]=>[[1,3,4,6,7],[2],[5],[8]]=>16 [8,4,5,1,2,3,7,6]=>[1,4,2,5,8,3,7,6]=>[6,7,3,8,5,2,4,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [4,1,7,2,3,8,6,5]=>[1,4,7,8,2,6,3,5]=>[5,3,6,2,8,7,4,1]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [1,2,7,5,8,6,3,4]=>[5,7,1,8,6,2,3,4]=>[4,3,2,6,8,1,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>11 [2,1,9,8,7,6,5,3,4]=>[9,8,7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>21 [2,1,10,9,8,7,6,5,3,4]=>[10,9,8,7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7,8,9,10]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>28 [1,6,2,5,7,8,4,3]=>[6,5,7,8,1,4,2,3]=>[3,2,4,1,8,7,5,6]=>[[1,3,5,8],[2,6],[4,7]]=>11 [7,4,5,1,6,8,2,3]=>[1,4,5,7,6,2,8,3]=>[3,8,2,6,7,5,4,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [1,7,8,4,2,6,3,5]=>[7,4,1,2,8,6,3,5]=>[5,3,6,8,2,1,4,7]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [6,3,2,5,7,4,1,8]=>[3,6,2,5,7,4,1,8]=>[8,1,4,7,5,2,6,3]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [7,4,3,2,6,8,1,5]=>[4,3,7,2,6,1,8,5]=>[5,8,1,6,2,7,3,4]=>[[1,2,6,8],[3,4,7],[5]]=>16 [5,2,8,4,6,3,1,7]=>[5,2,8,4,6,3,1,7]=>[7,1,3,6,4,8,2,5]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [6,4,7,5,3,1,2,8]=>[4,6,1,7,5,3,2,8]=>[8,2,3,5,7,1,6,4]=>[[1,3,4,5],[2,7],[6],[8]]=>17 [6,4,8,5,2,7,3,1]=>[6,4,2,8,5,7,3,1]=>[1,3,7,5,8,2,4,6]=>[[1,2,3,5],[4,7,8],[6]]=>20 [5,2,6,3,1,8,4,7]=>[5,2,3,6,1,8,4,7]=>[7,4,8,1,6,3,2,5]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [6,2,3,1,8,4,5,7]=>[6,2,3,1,4,8,5,7]=>[7,5,8,4,1,3,2,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [5,2,1,7,4,6,3,8]=>[7,2,5,1,4,6,3,8]=>[8,3,6,4,1,5,2,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [6,2,1,5,3,7,8,4]=>[6,2,1,3,5,7,8,4]=>[4,8,7,5,3,1,2,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [1,8,6,2,3,4,7,5]=>[1,2,3,6,8,7,4,5]=>[5,4,7,8,6,3,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [1,5,2,7,3,6,8,4]=>[5,7,1,2,6,8,3,4]=>[4,3,8,6,2,1,7,5]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [1,4,7,6,2,8,5,3]=>[4,7,6,8,1,5,2,3]=>[3,2,5,1,8,6,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>12 [6,2,8,5,1,3,7,4]=>[2,1,8,6,3,5,7,4]=>[4,7,5,3,6,8,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [6,8,1,2,3,5,4,7]=>[8,1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>12 [6,3,5,7,1,8,2,4]=>[6,3,1,5,7,2,8,4]=>[4,8,2,7,5,1,3,6]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [6,4,2,5,7,8,3,1]=>[2,4,6,5,7,8,3,1]=>[1,3,8,7,5,6,4,2]=>[[1,2,3,6],[4],[5],[7],[8]]=>16 [6,3,5,7,1,8,4,2]=>[6,3,1,5,7,8,4,2]=>[2,4,8,7,5,1,3,6]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [7,4,1,2,3,6,5,8]=>[1,2,4,7,3,6,5,8]=>[8,5,6,3,7,4,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>10 [7,3,6,2,4,1,5,8]=>[3,2,7,4,1,6,5,8]=>[8,5,6,1,4,7,2,3]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [5,4,1,2,3,6,8,7]=>[1,2,5,4,8,3,6,7]=>[7,6,3,8,4,5,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>8 [7,2,4,3,1,8,5,6]=>[4,2,3,7,1,5,8,6]=>[6,8,5,1,7,3,2,4]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [1,7,5,8,4,3,6,2]=>[5,7,4,3,8,6,1,2]=>[2,1,6,8,3,4,7,5]=>[[1,3,4,7],[2,5,6],[8]]=>16 [2,7,8,5,1,6,3,4]=>[2,7,5,1,8,6,3,4]=>[4,3,6,8,1,5,7,2]=>[[1,3,4],[2,6,7],[5,8]]=>16 [2,7,8,3,5,1,6,4]=>[7,2,5,3,8,6,1,4]=>[4,1,6,8,3,5,2,7]=>[[1,3,4,8],[2,5,6],[7]]=>15 [2,3,7,5,8,1,6,4]=>[7,8,2,5,3,6,1,4]=>[4,1,6,3,5,2,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>12 [2,3,7,5,8,6,4,1]=>[5,7,8,6,2,3,4,1]=>[1,4,3,2,6,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>14 [6,1,3,5,7,8,2,4]=>[6,3,5,7,1,2,8,4]=>[4,8,2,1,7,5,3,6]=>[[1,2,8],[3,5],[4,6],[7]]=>12 [5,8,1,6,4,7,2,3]=>[8,1,5,6,4,2,7,3]=>[3,7,2,4,6,5,1,8]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [2,4,7,5,1,8,6,3]=>[4,7,5,8,2,6,1,3]=>[3,1,6,2,8,5,7,4]=>[[1,3,5,7],[2,4,6],[8]]=>12 [2,3,7,1,8,5,6,4]=>[7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [3,6,5,7,8,2,4,1]=>[6,5,7,8,3,2,4,1]=>[1,4,2,3,8,7,5,6]=>[[1,2,4,5,8],[3,6],[7]]=>17 [3,6,5,1,8,7,4,2]=>[3,6,8,5,7,1,4,2]=>[2,4,1,7,5,8,6,3]=>[[1,2,4,6],[3,5,7],[8]]=>15 [11,10,12,9,8,7,6,5,4,3,2,1]=>[11,10,12,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,12,10,11]=>[[1,2,3,4,5,6,7,8,9,10,12],[11]]=>64 [7,4,5,8,1,3,2,6]=>[4,1,5,7,3,2,8,6]=>[6,8,2,3,7,5,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>17 [8,7,2,1,6,4,3,5]=>[2,8,4,1,3,7,6,5]=>[5,6,7,3,1,4,8,2]=>[[1,2,3,7],[4,6],[5,8]]=>18 [8,7,1,2,6,4,3,5]=>[8,1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [4,2,7,8,6,5,3,1]=>[7,8,6,2,4,5,3,1]=>[1,3,5,4,2,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>18 [3,1,2,7,6,5,4,8]=>[7,6,1,3,5,2,4,8]=>[8,4,2,5,3,1,6,7]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [5,7,1,6,8,4,2,3]=>[7,5,6,1,2,8,4,3]=>[3,4,8,2,1,6,5,7]=>[[1,2,3,8],[4,6],[5,7]]=>17 [2,8,4,3,5,1,7,6]=>[4,2,3,5,8,7,1,6]=>[6,1,7,8,5,3,2,4]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [3,2,5,8,6,4,7,1]=>[3,8,5,6,2,4,7,1]=>[1,7,4,2,6,5,8,3]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [4,8,5,1,6,3,7,2]=>[1,4,5,8,6,3,7,2]=>[2,7,3,6,8,5,4,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>16 [5,2,4,7,6,8,1,3]=>[5,7,2,4,6,1,8,3]=>[3,8,1,6,4,2,7,5]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [3,1,5,7,4,8,6,2]=>[7,5,8,1,3,4,6,2]=>[2,6,4,3,1,8,5,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [7,2,6,4,1,5,3,8]=>[2,1,7,6,4,5,3,8]=>[8,3,5,4,6,7,1,2]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [5,8,3,1,6,7,4,2]=>[5,1,8,3,6,7,4,2]=>[2,4,7,6,3,8,1,5]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [4,5,8,1,7,3,6,2]=>[8,4,5,1,7,3,6,2]=>[2,6,3,7,1,5,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>16 [4,7,1,6,8,5,2,3]=>[7,4,6,1,8,2,5,3]=>[3,5,2,8,1,6,4,7]=>[[1,2,4,8],[3,6],[5,7]]=>16 [5,8,7,1,6,4,2,3]=>[8,5,1,7,2,6,4,3]=>[3,4,6,2,7,1,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>20 [8,4,2,1,6,3,7,5]=>[4,2,1,8,3,6,7,5]=>[5,7,6,3,8,1,2,4]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [8,2,6,1,5,7,4,3]=>[6,2,5,8,7,1,4,3]=>[3,4,1,7,8,5,2,6]=>[[1,2,4,5],[3,6,8],[7]]=>17 [8,2,1,3,5,7,6,4]=>[2,8,7,1,3,5,6,4]=>[4,6,5,3,1,7,8,2]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [8,4,1,3,6,7,5,2]=>[8,4,1,3,6,7,5,2]=>[2,5,7,6,3,1,4,8]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [2,6,1,3,7,5,8,4]=>[2,6,7,1,5,8,3,4]=>[4,3,8,5,1,7,6,2]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [2,5,1,7,6,3,8,4]=>[7,2,5,1,6,8,3,4]=>[4,3,8,6,1,5,2,7]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [3,8,5,2,6,4,1,7]=>[3,2,8,5,6,4,1,7]=>[7,1,4,6,5,8,2,3]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [8,2,5,7,6,1,4,3]=>[8,5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5,8]=>[[1,2,4,5,8],[3,6,7]]=>19 [5,7,1,6,4,2,8,3]=>[7,5,1,2,6,4,8,3]=>[3,8,4,6,2,1,5,7]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [2,7,1,4,8,6,5,3]=>[7,8,2,4,6,5,1,3]=>[3,1,5,6,4,2,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>13 [6,7,5,4,1,3,2,8]=>[1,6,7,5,4,3,2,8]=>[8,2,3,4,5,7,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>18 [5,7,3,2,1,4,8,6]=>[3,2,1,7,5,8,4,6]=>[6,4,8,5,7,1,2,3]=>[[1,3,5],[2,4,8],[6,7]]=>13 [7,6,2,8,5,3,1,4]=>[7,6,2,3,1,8,5,4]=>[4,5,8,1,3,2,6,7]=>[[1,2,3,8],[4,5,7],[6]]=>20 [6,1,5,7,3,4,8,2]=>[6,5,1,7,3,4,8,2]=>[2,8,4,3,7,1,5,6]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [3,5,8,1,6,2,7,4]=>[5,3,1,8,6,7,2,4]=>[4,2,7,6,8,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>13 [4,1,3,5,2,7,6,8]=>[4,1,3,5,7,2,6,8]=>[8,6,2,7,5,3,1,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [4,5,6,2,8,7,1,3]=>[4,5,8,2,6,1,7,3]=>[3,7,1,6,2,8,5,4]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [3,8,6,5,4,2,7,1]=>[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[[1,2,4,5,7,8],[3],[6]]=>19 [5,8,4,7,6,1,2,3]=>[5,1,8,7,4,2,6,3]=>[3,6,2,4,7,8,1,5]=>[[1,2,5,6],[3,4,8],[7]]=>20 [2,6,7,4,8,1,5,3]=>[6,4,7,2,8,5,1,3]=>[3,1,5,8,2,7,4,6]=>[[1,3,4,8],[2,5,6],[7]]=>15 [2,8,6,5,4,1,3,7]=>[8,6,5,2,1,4,3,7]=>[7,3,4,1,2,5,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>16 [6,8,4,3,1,2,7,5]=>[1,6,4,3,8,2,7,5]=>[5,7,2,8,3,4,6,1]=>[[1,2,4,7],[3,5,6],[8]]=>17 [7,3,2,6,5,1,4,8]=>[7,3,6,2,1,5,4,8]=>[8,4,5,1,2,6,3,7]=>[[1,3,6,8],[2,5,7],[4]]=>14 [8,3,6,5,1,2,7,4]=>[1,8,3,2,6,5,7,4]=>[4,7,5,6,2,3,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [2,5,4,6,8,3,7,1]=>[5,8,4,6,2,3,7,1]=>[1,7,3,2,6,4,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>13 [2,6,5,8,7,1,4,3]=>[6,8,5,2,7,4,1,3]=>[3,1,4,7,2,5,8,6]=>[[1,3,4,7],[2,5,6,8]]=>16 [2,5,3,7,1,4,6,8]=>[5,2,7,3,1,4,6,8]=>[8,6,4,1,3,7,2,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [2,7,8,4,1,5,3,6]=>[7,2,1,4,8,5,3,6]=>[6,3,5,8,4,1,2,7]=>[[1,3,4],[2,7,8],[5],[6]]=>14 [7,8,6,3,2,5,4,1]=>[3,2,7,8,6,5,4,1]=>[1,4,5,6,8,7,2,3]=>[[1,2,3,4,5],[6,8],[7]]=>23 [6,1,3,8,4,7,5,2]=>[6,8,1,3,7,4,5,2]=>[2,5,4,7,3,1,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [4,5,1,7,8,6,3,2]=>[7,8,1,4,5,6,3,2]=>[2,3,6,5,4,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [4,2,5,6,8,3,7,1]=>[8,2,4,5,6,3,7,1]=>[1,7,3,6,5,4,2,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>13 [7,4,8,1,2,6,5,3]=>[1,4,7,8,2,6,5,3]=>[3,5,6,2,8,7,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [1,6,4,8,2,3,5,7]=>[6,1,2,8,4,3,5,7]=>[7,5,3,4,8,2,1,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>10 [7,3,6,5,1,8,2,4]=>[3,7,6,1,5,2,8,4]=>[4,8,2,5,1,6,7,3]=>[[1,2,6,7],[3,4],[5,8]]=>17 [7,2,4,1,8,6,3,5]=>[4,7,8,2,1,3,6,5]=>[5,6,3,1,2,8,7,4]=>[[1,2,6],[3,5,7],[4,8]]=>14 [5,4,8,1,7,2,3,6]=>[1,8,5,4,2,7,3,6]=>[6,3,7,2,4,5,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [1,4,7,3,5,8,6,2]=>[4,3,7,8,5,6,1,2]=>[2,1,6,5,8,7,3,4]=>[[1,3,5],[2,4,6],[7,8]]=>11 [6,3,7,8,1,2,5,4]=>[6,1,7,3,8,2,5,4]=>[4,5,2,8,3,7,1,6]=>[[1,2,4],[3,5,6],[7,8]]=>16 [5,1,8,6,7,2,3,4]=>[5,1,8,6,2,3,7,4]=>[4,7,3,2,6,8,1,5]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [5,7,1,6,8,2,3,4]=>[7,5,1,2,6,3,8,4]=>[4,8,3,6,2,1,5,7]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [6,8,4,2,1,7,3,5]=>[2,6,4,1,8,3,7,5]=>[5,7,3,8,1,4,6,2]=>[[1,2,4],[3,6,7],[5,8]]=>17 [6,3,2,8,1,7,4,5]=>[3,6,8,2,1,4,7,5]=>[5,7,4,1,2,8,6,3]=>[[1,2,6],[3,5,7],[4,8]]=>14 [1,8,5,6,3,7,4,2]=>[5,3,6,8,7,4,1,2]=>[2,1,4,7,8,6,3,5]=>[[1,3,4,5],[2,6,8],[7]]=>16 [6,7,8,2,4,1,5,3]=>[2,6,1,7,4,8,5,3]=>[3,5,8,4,7,1,6,2]=>[[1,2,3],[4,5],[6,7],[8]]=>19 [5,4,2,1,7,6,8,3]=>[2,1,5,7,4,6,8,3]=>[3,8,6,4,7,5,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [6,4,1,3,7,8,5,2]=>[4,1,3,6,7,8,5,2]=>[2,5,8,7,6,3,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>14 [2,3,1,7,4,6,5,8]=>[2,7,3,6,1,4,5,8]=>[8,5,4,1,6,3,7,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>6 [6,8,5,4,3,7,1,2]=>[8,6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6,8]=>[[1,2,5,6,7,8],[3,4]]=>22 [4,5,1,7,3,2,8,6]=>[4,1,5,7,3,8,2,6]=>[6,2,8,3,7,5,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [1,8,6,7,4,3,5,2]=>[6,4,3,8,7,5,1,2]=>[2,1,5,7,8,3,4,6]=>[[1,3,4,5],[2,6,7,8]]=>18 [3,7,2,1,6,5,8,4]=>[3,7,2,6,5,8,1,4]=>[4,1,8,5,6,2,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>12 [1,6,3,4,2,8,5,7]=>[1,6,8,3,4,2,5,7]=>[7,5,2,4,3,8,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [2,7,8,4,3,1,5,6]=>[7,2,4,3,1,8,5,6]=>[6,5,8,1,3,4,2,7]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [3,5,6,7,4,1,2,8]=>[5,6,7,3,1,4,2,8]=>[8,2,4,1,3,7,6,5]=>[[1,3,6],[2,5,7],[4],[8]]=>13 [5,1,3,6,8,4,2,7]=>[8,1,5,6,3,4,2,7]=>[7,2,4,3,6,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [5,6,4,8,7,1,2,3]=>[5,6,1,8,4,2,7,3]=>[3,7,2,4,8,1,6,5]=>[[1,2,5],[3,4,7],[6,8]]=>18 [1,8,5,2,7,6,3,4]=>[8,5,1,2,7,6,3,4]=>[4,3,6,7,2,1,5,8]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [8,2,4,6,3,1,5,7]=>[6,4,2,3,1,5,8,7]=>[7,8,5,1,3,2,4,6]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [3,6,5,2,1,7,8,4]=>[6,5,3,2,7,8,1,4]=>[4,1,8,7,2,3,5,6]=>[[1,3,6,7,8],[2,4],[5]]=>12 [5,7,4,8,3,1,2,6]=>[7,5,1,8,4,3,2,6]=>[6,2,3,4,8,1,5,7]=>[[1,3,4,5,8],[2,7],[6]]=>18 [1,6,7,3,8,2,4,5]=>[6,7,1,3,2,8,4,5]=>[5,4,8,2,3,1,7,6]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [6,3,7,5,1,2,4,8]=>[6,1,7,3,2,5,4,8]=>[8,4,5,2,3,7,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [5,1,2,6,4,7,3,8]=>[5,6,1,2,4,7,3,8]=>[8,3,7,4,2,1,6,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>8 [6,1,2,4,8,3,7,5]=>[4,6,8,1,2,3,7,5]=>[5,7,3,2,1,8,6,4]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [6,7,2,8,1,4,5,3]=>[6,2,7,1,4,8,5,3]=>[3,5,8,4,1,7,2,6]=>[[1,2,3],[4,6,8],[5,7]]=>17 [7,1,4,5,6,3,8,2]=>[4,5,7,6,1,3,8,2]=>[2,8,3,1,6,7,5,4]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [7,4,1,6,5,2,3,8]=>[7,4,1,2,6,5,3,8]=>[8,3,5,6,2,1,4,7]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [4,1,6,5,2,3,8,7]=>[6,4,1,2,5,8,3,7]=>[7,3,8,5,2,1,4,6]=>[[1,3,8],[2,4],[5,7],[6]]=>9 [4,5,1,7,8,6,2,3]=>[7,8,1,4,5,2,6,3]=>[3,6,2,5,4,1,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [8,5,7,3,4,6,2,1]=>[3,8,5,4,7,6,2,1]=>[1,2,6,7,4,5,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>23 [6,8,7,4,3,5,2,1]=>[8,6,4,3,7,5,2,1]=>[1,2,5,7,3,4,6,8]=>[[1,2,3,4,7,8],[5,6]]=>24 [6,8,7,5,3,4,2,1]=>[8,6,3,7,5,4,2,1]=>[1,2,4,5,7,3,6,8]=>[[1,2,3,4,5,8],[6,7]]=>25 [5,8,6,2,4,7,3,1]=>[2,5,8,6,4,7,3,1]=>[1,3,7,4,6,8,5,2]=>[[1,2,3,5,6],[4],[7],[8]]=>20 [1,4,7,5,3,2,6,8]=>[4,7,5,3,1,2,6,8]=>[8,6,2,1,3,5,7,4]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [1,7,5,4,3,2,8,6]=>[7,5,4,1,3,8,2,6]=>[6,2,8,3,1,4,5,7]=>[[1,3,6,7,8],[2,4],[5]]=>12 [1,4,7,5,3,2,8,6]=>[4,7,5,3,8,1,2,6]=>[6,2,1,8,3,5,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>10 [6,8,7,2,3,5,4,1]=>[2,6,8,3,7,5,4,1]=>[1,4,5,7,3,8,6,2]=>[[1,2,3,4,6],[5,7],[8]]=>21 [5,7,6,1,8,2,4,3]=>[5,1,7,2,6,8,4,3]=>[3,4,8,6,2,7,1,5]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [2,7,8,5,1,4,3,6]=>[7,2,8,1,5,4,3,6]=>[6,3,4,5,1,8,2,7]=>[[1,3,4,6],[2,7,8],[5]]=>15 [2,4,1,7,6,8,3,5]=>[7,4,6,8,2,1,3,5]=>[5,3,1,2,8,6,4,7]=>[[1,4,5,8],[2,6],[3,7]]=>10 [5,1,6,4,3,7,8,2]=>[5,6,4,1,3,7,8,2]=>[2,8,7,3,1,4,6,5]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [5,7,1,6,4,3,8,2]=>[7,5,6,1,4,3,8,2]=>[2,8,3,4,1,6,5,7]=>[[1,2,4,6,8],[3,7],[5]]=>16 [8,5,6,2,4,7,3,1]=>[2,5,6,4,8,7,3,1]=>[1,3,7,8,4,6,5,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21 [3,5,8,4,2,6,1,7]=>[8,3,5,4,2,6,1,7]=>[7,1,6,2,4,5,3,8]=>[[1,3,5,6,8],[2],[4],[7]]=>14 [8,1,3,6,4,5,2,7]=>[3,6,4,5,1,2,8,7]=>[7,8,2,1,5,4,6,3]=>[[1,2,7],[3,5],[4,6],[8]]=>13 [1,5,4,7,8,2,6,3]=>[5,7,4,8,1,6,2,3]=>[3,2,6,1,8,4,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>12 [7,5,2,1,8,4,3,6]=>[2,5,7,1,4,3,8,6]=>[6,8,3,4,1,7,5,2]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [7,1,2,4,8,3,5,6]=>[7,4,1,2,3,5,8,6]=>[6,8,5,3,2,1,4,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [1,3,2,5,4,7,9,6,8]=>[9,3,5,7,1,2,4,6,8]=>[8,6,4,2,1,7,5,3,9]=>[[1,6,9],[2,7],[3,8],[4],[5]]=>5 [7,1,5,2,3,4,6,8]=>[1,2,5,3,4,7,6,8]=>[8,6,7,4,3,5,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>9 [4,7,1,2,5,6,3,8]=>[4,1,7,2,5,6,3,8]=>[8,3,6,5,2,7,1,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [6,7,3,1,8,2,4,5]=>[1,3,6,2,7,4,8,5]=>[5,8,4,7,2,6,3,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>15 [5,7,3,4,6,2,1,8]=>[3,7,5,4,6,2,1,8]=>[8,1,2,6,4,5,7,3]=>[[1,3,4,6,7],[2],[5],[8]]=>16 [7,3,5,6,2,4,1,8]=>[3,7,5,2,6,4,1,8]=>[8,1,4,6,2,5,7,3]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [3,7,2,5,6,1,4,8]=>[3,5,7,6,2,1,4,8]=>[8,4,1,2,6,7,5,3]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [6,3,5,1,4,7,2,8]=>[3,6,1,5,4,7,2,8]=>[8,2,7,4,5,1,6,3]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [7,3,4,6,1,5,2,8]=>[3,4,7,1,6,5,2,8]=>[8,2,5,6,1,7,4,3]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [2,3,7,8,1,6,4,5]=>[2,7,8,6,3,1,4,5]=>[5,4,1,3,6,8,7,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [2,7,3,8,5,4,1,6]=>[2,7,8,3,5,4,1,6]=>[6,1,4,5,3,8,7,2]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [8,3,7,6,5,4,1,2]=>[8,7,6,3,1,5,4,2]=>[2,4,5,1,3,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>23 [1,2,4,7,8,5,6,3]=>[7,4,8,5,6,1,2,3]=>[3,2,1,6,5,8,4,7]=>[[1,4,6],[2,5,8],[3,7]]=>9 [8,2,6,5,7,4,3,1]=>[6,5,8,7,2,4,3,1]=>[1,3,4,2,7,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>21 [8,4,7,1,5,2,6,3]=>[1,8,4,2,5,7,6,3]=>[3,6,7,5,2,4,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [8,2,5,3,7,6,4,1]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[[1,2,3,5,8],[4],[6],[7]]=>18 [4,3,6,7,5,1,8,2]=>[4,6,7,3,1,5,8,2]=>[2,8,5,1,3,7,6,4]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [5,1,2,7,6,4,3,8]=>[7,5,6,1,2,4,3,8]=>[8,3,4,2,1,6,5,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10 [5,8,7,2,4,6,3,1]=>[5,2,8,7,4,6,3,1]=>[1,3,6,4,7,8,2,5]=>[[1,2,3,5,6],[4,8],[7]]=>21 [5,6,3,1,2,8,4,7]=>[1,5,3,6,2,8,4,7]=>[7,4,8,2,6,3,5,1]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [5,3,1,8,4,2,6,7]=>[1,5,3,8,4,2,6,7]=>[7,6,2,4,8,3,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>11 [5,3,1,2,6,4,8,7]=>[1,3,2,5,6,8,4,7]=>[7,4,8,6,5,2,3,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>8 [5,3,4,8,6,1,2,7]=>[5,3,8,4,1,6,2,7]=>[7,2,6,1,4,8,3,5]=>[[1,3,6],[2,5,8],[4],[7]]=>14 [4,3,6,5,1,2,8,7]=>[4,6,3,1,5,8,2,7]=>[7,2,8,5,1,3,6,4]=>[[1,3,7],[2,4,8],[5,6]]=>11 [3,5,4,7,8,1,6,2]=>[5,7,3,4,8,1,6,2]=>[2,6,1,8,4,3,7,5]=>[[1,2,4],[3,5,7],[6,8]]=>14 [6,4,5,7,1,8,3,2]=>[4,1,6,5,7,8,3,2]=>[2,3,8,7,5,6,1,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [3,7,8,1,6,2,5,4]=>[3,1,7,8,6,5,2,4]=>[4,2,5,6,8,7,1,3]=>[[1,3,4,5],[2,6],[7,8]]=>16 [3,4,6,1,7,5,8,2]=>[3,4,6,7,1,5,8,2]=>[2,8,5,1,7,6,4,3]=>[[1,2,5],[3,6],[4],[7],[8]]=>11 [6,1,5,4,7,3,8,2]=>[6,5,4,7,1,3,8,2]=>[2,8,3,1,7,4,5,6]=>[[1,2,5,7,8],[3,6],[4]]=>14 [3,6,5,2,7,4,8,1]=>[6,5,3,7,2,4,8,1]=>[1,8,4,2,7,3,5,6]=>[[1,2,5,7,8],[3,6],[4]]=>14 [6,4,5,1,7,3,8,2]=>[1,4,6,5,7,3,8,2]=>[2,8,3,7,5,6,4,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>15 [6,1,5,3,7,2,8,4]=>[3,6,5,1,2,7,8,4]=>[4,8,7,2,1,5,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [6,1,5,3,7,4,8,2]=>[1,6,5,7,3,4,8,2]=>[2,8,4,3,7,5,6,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [6,2,5,4,7,3,8,1]=>[6,5,2,4,7,3,8,1]=>[1,8,3,7,4,2,5,6]=>[[1,2,4,7,8],[3],[5],[6]]=>15 [5,1,7,6,3,2,4,8]=>[7,5,3,1,2,6,4,8]=>[8,4,6,2,1,3,5,7]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [8,6,5,1,7,3,4,2]=>[6,5,1,3,8,7,4,2]=>[2,4,7,8,3,1,5,6]=>[[1,2,3,4],[5,7,8],[6]]=>21 [6,8,5,7,1,3,4,2]=>[8,1,6,5,3,7,4,2]=>[2,4,7,3,5,6,1,8]=>[[1,2,3,6,8],[4,5],[7]]=>21 [8,4,2,7,6,3,5,1]=>[8,4,2,7,3,6,5,1]=>[1,5,6,3,7,2,4,8]=>[[1,2,3,5,8],[4,7],[6]]=>20 [8,7,2,1,6,3,5,4]=>[2,8,7,1,3,6,5,4]=>[4,5,6,3,1,7,8,2]=>[[1,2,3,6,7],[4,8],[5]]=>18 [3,1,8,4,2,7,6,5]=>[3,8,7,1,4,6,2,5]=>[5,2,6,4,1,7,8,3]=>[[1,3,6,7],[2,4],[5,8]]=>11 [2,8,7,4,1,3,6,5]=>[2,1,8,4,7,6,3,5]=>[5,3,6,7,4,8,1,2]=>[[1,3,4,6],[2,5],[7,8]]=>15 [7,2,5,8,3,1,4,6]=>[5,2,7,3,1,4,8,6]=>[6,8,4,1,3,7,2,5]=>[[1,2,6],[3,5],[4,8],[7]]=>15 [6,8,2,3,1,7,4,5]=>[2,3,6,1,8,4,7,5]=>[5,7,4,8,1,6,3,2]=>[[1,2,4],[3,6],[5,7],[8]]=>15 [8,2,7,3,1,4,5,6]=>[2,3,1,4,8,5,7,6]=>[6,7,5,8,4,1,3,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [3,1,6,2,7,8,5,4]=>[3,6,7,8,1,5,2,4]=>[4,2,5,1,8,7,6,3]=>[[1,3,5],[2,6],[4,7],[8]]=>10 [6,7,4,3,8,5,1,2]=>[6,4,3,7,1,8,5,2]=>[2,5,8,1,7,3,4,6]=>[[1,2,3,8],[4,5,7],[6]]=>20 [4,1,3,6,5,2,8,7]=>[4,6,1,3,5,8,2,7]=>[7,2,8,5,3,1,6,4]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [4,6,3,2,5,1,8,7]=>[6,4,3,2,5,8,1,7]=>[7,1,8,5,2,3,4,6]=>[[1,3,6,7,8],[2,4],[5]]=>12 [4,8,3,2,6,5,7,1]=>[4,3,8,2,6,5,7,1]=>[1,7,5,6,2,8,3,4]=>[[1,2,4,6],[3,7,8],[5]]=>16 [2,4,3,8,6,1,7,5]=>[4,8,6,2,3,7,1,5]=>[5,1,7,3,2,6,8,4]=>[[1,3,6,7],[2,4],[5,8]]=>11 [6,1,3,2,5,8,7,4]=>[3,6,8,1,2,5,7,4]=>[4,7,5,2,1,8,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [6,8,4,2,5,3,7,1]=>[2,4,8,6,5,3,7,1]=>[1,7,3,5,6,8,4,2]=>[[1,2,4,5,6],[3],[7],[8]]=>19 [6,8,4,3,5,2,7,1]=>[4,3,8,6,5,2,7,1]=>[1,7,2,5,6,8,3,4]=>[[1,2,4,5,6],[3,8],[7]]=>20 [4,6,7,2,3,5,8,1]=>[6,2,7,4,3,5,8,1]=>[1,8,5,3,4,7,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [6,5,4,8,7,2,3,1]=>[6,5,8,4,2,7,3,1]=>[1,3,7,2,4,8,5,6]=>[[1,2,3,6,8],[4,5,7]]=>21 [4,8,7,1,2,6,3,5]=>[4,1,2,8,7,6,3,5]=>[5,3,6,7,8,2,1,4]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [4,5,3,8,1,6,2,7]=>[8,4,1,5,3,6,2,7]=>[7,2,6,3,5,1,4,8]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [4,7,1,2,6,8,5,3]=>[7,1,4,6,8,2,5,3]=>[3,5,2,8,6,4,1,7]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [1,8,5,6,2,3,7,4]=>[1,5,2,6,8,7,3,4]=>[4,3,7,8,6,2,5,1]=>[[1,3,4],[2,5],[6,7],[8]]=>13 [7,2,4,6,8,1,5,3]=>[7,2,6,4,8,1,5,3]=>[3,5,1,8,4,6,2,7]=>[[1,2,4,8],[3,5,6],[7]]=>16 [4,3,7,8,5,2,6,1]=>[7,8,4,3,5,2,6,1]=>[1,6,2,5,3,4,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>17 [7,4,2,6,1,3,8,5]=>[4,2,1,7,3,6,8,5]=>[5,8,6,3,7,1,2,4]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [6,1,7,4,2,3,8,5]=>[1,6,4,2,3,7,8,5]=>[5,8,7,3,2,4,6,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>12 [8,5,6,1,3,2,7,4]=>[5,1,3,2,6,8,7,4]=>[4,7,8,6,2,3,1,5]=>[[1,2,3],[4,6,8],[5],[7]]=>17 [4,3,7,5,2,8,6,1]=>[7,4,3,5,8,2,6,1]=>[1,6,2,8,5,3,4,7]=>[[1,2,4,7,8],[3,5],[6]]=>15 [7,4,8,1,5,3,6,2]=>[7,1,4,5,3,8,6,2]=>[2,6,8,3,5,4,1,7]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [5,3,7,8,2,6,1,4]=>[7,3,5,8,2,1,6,4]=>[4,6,1,2,8,5,3,7]=>[[1,2,5,8],[3,4,6],[7]]=>17 [2,7,1,6,4,3,5,8]=>[2,7,6,1,4,3,5,8]=>[8,5,3,4,1,6,7,2]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [5,4,3,8,7,2,1,6]=>[5,8,4,7,3,2,1,6]=>[6,1,2,3,7,4,8,5]=>[[1,3,4,5,7],[2,6,8]]=>17 [4,5,8,3,6,1,7,2]=>[4,8,5,3,1,6,7,2]=>[2,7,6,1,3,5,8,4]=>[[1,2,6,7],[3,5],[4],[8]]=>16 [3,7,1,4,2,5,6,8]=>[1,3,4,2,7,5,6,8]=>[8,6,5,7,2,4,3,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>8 [5,4,6,1,2,8,7,3]=>[1,5,4,8,2,6,7,3]=>[3,7,6,2,8,4,5,1]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [6,3,1,8,7,4,5,2]=>[8,6,1,3,4,7,5,2]=>[2,5,7,4,3,1,6,8]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [8,6,3,2,7,4,5,1]=>[3,6,2,4,8,7,5,1]=>[1,5,7,8,4,2,6,3]=>[[1,2,3,4],[5,7],[6,8]]=>20 [5,7,1,3,6,2,4,8]=>[5,7,1,3,2,6,4,8]=>[8,4,6,2,3,1,7,5]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [3,6,4,1,2,5,7,8]=>[3,1,6,4,2,5,7,8]=>[8,7,5,2,4,6,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>8 [4,7,1,3,2,5,8,6]=>[4,1,3,2,7,8,5,6]=>[6,5,8,7,2,3,1,4]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [5,7,1,3,6,2,8,4]=>[5,7,1,3,2,6,8,4]=>[4,8,6,2,3,1,7,5]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [6,8,2,5,7,3,1,4]=>[2,6,8,5,3,1,7,4]=>[4,7,1,3,5,8,6,2]=>[[1,2,5,6],[3,4,7],[8]]=>19 [4,7,1,3,2,8,5,6]=>[4,1,3,7,2,8,5,6]=>[6,5,8,2,7,3,1,4]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [5,7,1,8,6,2,4,3]=>[7,5,8,1,2,6,4,3]=>[3,4,6,2,1,8,5,7]=>[[1,2,3,6],[4,7,8],[5]]=>17 [3,8,5,6,4,1,7,2]=>[3,8,5,1,6,4,7,2]=>[2,7,4,6,1,5,8,3]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [1,4,6,8,7,5,2,3]=>[8,6,7,4,1,5,2,3]=>[3,2,5,1,4,7,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>14 [6,9,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,9,7,8]=>[8,7,9,1,2,3,4,5,6]=>[[1,3,6,7,8,9],[2,5],[4]]=>22 [8,5,2,3,7,4,6,1]=>[5,2,3,8,4,7,6,1]=>[1,6,7,4,8,3,2,5]=>[[1,2,3,5],[4,8],[6],[7]]=>18 [4,7,2,3,5,8,6,1]=>[2,4,3,7,8,5,6,1]=>[1,6,5,8,7,3,4,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14 [3,7,2,4,5,8,6,1]=>[3,2,4,7,8,5,6,1]=>[1,6,5,8,7,4,2,3]=>[[1,2,4],[3,5],[6,8],[7]]=>13 [4,8,2,5,6,7,3,1]=>[4,2,8,5,6,7,3,1]=>[1,3,7,6,5,8,2,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [4,5,8,3,2,6,7,1]=>[4,8,5,3,2,6,7,1]=>[1,7,6,2,3,5,8,4]=>[[1,2,5,6,7],[3],[4],[8]]=>16 [3,8,5,2,7,4,6,1]=>[3,8,5,2,7,4,6,1]=>[1,6,4,7,2,5,8,3]=>[[1,2,4,7],[3,6],[5,8]]=>17 [7,2,5,8,4,3,6,1]=>[5,7,4,2,3,8,6,1]=>[1,6,8,3,2,4,7,5]=>[[1,2,3,7],[4,6],[5,8]]=>18 [3,8,4,5,6,2,7,1]=>[3,4,5,8,6,2,7,1]=>[1,7,2,6,8,5,4,3]=>[[1,2,4,5],[3],[6],[7],[8]]=>16 [6,3,1,5,4,8,2,7]=>[6,1,3,5,8,4,2,7]=>[7,2,4,8,5,3,1,6]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [4,7,6,3,5,2,8,1]=>[7,6,4,3,5,2,8,1]=>[1,8,2,5,3,4,6,7]=>[[1,2,4,6,7,8],[3],[5]]=>18 [5,8,2,3,4,7,6,1]=>[2,3,5,8,7,4,6,1]=>[1,6,4,7,8,5,3,2]=>[[1,2,4,5],[3,6],[7],[8]]=>16 [8,7,3,2,6,4,5,1]=>[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[[1,2,3,4,8],[5,7],[6]]=>21 [5,3,1,6,4,8,7,2]=>[1,3,5,6,8,4,7,2]=>[2,7,4,8,6,5,3,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>12 [3,4,8,5,7,2,6,1]=>[8,3,7,4,5,2,6,1]=>[1,6,2,5,4,7,3,8]=>[[1,2,4,6,8],[3],[5],[7]]=>16 [2,5,1,4,7,6,8,3]=>[2,5,7,4,6,8,1,3]=>[3,1,8,6,4,7,5,2]=>[[1,3,6],[2,4,7],[5],[8]]=>9 [6,1,3,7,5,4,8,2]=>[6,7,1,5,3,4,8,2]=>[2,8,4,3,5,1,7,6]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [8,3,4,1,7,6,5,2]=>[8,3,7,1,4,6,5,2]=>[2,5,6,4,1,7,3,8]=>[[1,2,3,6,8],[4,7],[5]]=>17 [8,5,1,2,7,6,4,3]=>[8,1,7,2,5,6,4,3]=>[3,4,6,5,2,7,1,8]=>[[1,2,3,6,8],[4],[5],[7]]=>17 [6,5,8,3,1,4,7,2]=>[1,6,3,8,5,4,7,2]=>[2,7,4,5,8,3,6,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18 [8,2,6,3,1,5,4,7]=>[2,3,6,5,1,4,8,7]=>[7,8,4,1,5,6,3,2]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [2,7,1,6,4,3,8,5]=>[2,7,6,1,4,8,3,5]=>[5,3,8,4,1,6,7,2]=>[[1,3,6,7],[2,4],[5,8]]=>11 [7,4,3,6,2,5,8,1]=>[4,7,3,2,6,5,8,1]=>[1,8,5,6,2,3,7,4]=>[[1,2,4,7],[3,6,8],[5]]=>17 [8,4,2,7,1,3,6,5]=>[4,2,8,1,7,3,6,5]=>[5,6,3,7,1,8,2,4]=>[[1,2,4,6],[3,7,8],[5]]=>16 [8,4,2,3,1,6,7,5]=>[2,4,8,3,1,6,7,5]=>[5,7,6,1,3,8,4,2]=>[[1,2,6],[3,5,7],[4],[8]]=>14 [4,7,2,3,6,5,8,1]=>[2,4,7,6,3,5,8,1]=>[1,8,5,3,6,7,4,2]=>[[1,2,5,6],[3,7],[4],[8]]=>14 [3,8,2,6,4,7,1,5]=>[3,2,8,6,7,4,1,5]=>[5,1,4,7,6,8,2,3]=>[[1,3,4,6],[2,5],[7,8]]=>15 [6,5,1,7,4,8,3,2]=>[6,5,7,1,4,8,3,2]=>[2,3,8,4,1,7,5,6]=>[[1,2,3,6,8],[4,7],[5]]=>17 [5,3,6,1,8,4,7,2]=>[3,8,1,5,6,4,7,2]=>[2,7,4,6,5,1,8,3]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [5,2,1,7,8,4,6,3]=>[7,8,2,5,1,4,6,3]=>[3,6,4,1,5,2,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>13 [1,3,2,8,6,4,7,5]=>[6,3,8,7,1,2,4,5]=>[5,4,2,1,7,8,3,6]=>[[1,5,6],[2,7,8],[3],[4]]=>8 [10,9,8,6,7,5,4,3,2,1]=>[6,10,9,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,9,10,6]=>[[1,2,3,4,5,6,7,8,9],[10]]=>44 [2,5,7,1,6,4,3,8]=>[5,7,2,6,4,1,3,8]=>[8,3,1,4,6,2,7,5]=>[[1,4,5,7],[2,6,8],[3]]=>11 [5,1,4,6,3,8,7,2]=>[5,4,6,8,1,3,7,2]=>[2,7,3,1,8,6,4,5]=>[[1,2,5,8],[3,6],[4,7]]=>12 [5,2,6,4,3,7,1,8]=>[5,6,2,4,3,7,1,8]=>[8,1,7,3,4,2,6,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12 [4,2,3,7,6,8,1,5]=>[7,2,4,6,8,3,1,5]=>[5,1,3,8,6,4,2,7]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [3,6,1,4,8,5,7,2]=>[6,8,3,1,4,5,7,2]=>[2,7,5,4,1,3,8,6]=>[[1,2,7],[3,6,8],[4],[5]]=>12 [7,3,2,6,4,1,5,8]=>[7,3,2,4,1,6,5,8]=>[8,5,6,1,4,2,3,7]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [3,2,4,8,1,7,5,6]=>[3,8,7,2,4,1,5,6]=>[6,5,1,4,2,7,8,3]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [7,6,3,5,1,4,8,2]=>[3,7,1,6,5,4,8,2]=>[2,8,4,5,6,1,7,3]=>[[1,2,4,5,7],[3,8],[6]]=>18 [8,3,6,1,7,4,5,2]=>[3,8,6,1,4,7,5,2]=>[2,5,7,4,1,6,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>18 [7,1,2,6,4,8,3,5]=>[4,7,6,1,2,3,8,5]=>[5,8,3,2,1,6,7,4]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [3,5,1,8,6,2,4,7]=>[8,5,3,1,6,2,4,7]=>[7,4,2,6,1,3,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [5,4,6,2,1,8,3,7]=>[5,4,2,6,1,8,3,7]=>[7,3,8,1,6,2,4,5]=>[[1,3,7,8],[2,5],[4,6]]=>13 [9,8,7,6,4,3,2,5,1]=>[4,3,2,9,8,7,6,5,1]=>[1,5,6,7,8,9,2,3,4]=>[[1,2,3,4,5,6],[7,8,9]]=>33 [9,8,7,6,4,3,5,1,2]=>[4,3,1,9,8,7,6,5,2]=>[2,5,6,7,8,9,1,3,4]=>[[1,2,3,4,5,6],[7,8,9]]=>33 [9,8,7,6,5,3,4,2,1]=>[3,9,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,9,3]=>[[1,2,3,4,5,6,7,8],[9]]=>35 [4,6,1,3,7,8,2,5]=>[6,1,4,7,8,3,2,5]=>[5,2,3,8,7,4,1,6]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [5,4,7,3,8,6,2,1]=>[5,7,4,8,3,6,2,1]=>[1,2,6,3,8,4,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>19 [2,7,5,6,1,3,8,4]=>[5,2,1,7,6,8,3,4]=>[4,3,8,6,7,1,2,5]=>[[1,3,5],[2,4,8],[6,7]]=>13 [4,2,5,8,7,6,1,3]=>[8,7,2,4,5,1,6,3]=>[3,6,1,5,4,2,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [1,8,7,5,4,6,2,3]=>[5,4,1,8,7,6,2,3]=>[3,2,6,7,8,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>18 [3,8,1,4,7,5,6,2]=>[8,3,1,7,4,5,6,2]=>[2,6,5,4,7,1,3,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [8,1,6,7,4,5,3,2]=>[6,4,8,7,5,1,3,2]=>[2,3,1,5,7,8,4,6]=>[[1,2,4,5,6],[3,7,8]]=>20 [4,6,7,2,3,5,1,8]=>[6,2,7,4,3,5,1,8]=>[8,1,5,3,4,7,2,6]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [8,6,1,4,7,5,3,2]=>[1,6,8,7,4,5,3,2]=>[2,3,5,4,7,8,6,1]=>[[1,2,3,5,6],[4,7],[8]]=>20 [8,1,6,4,7,5,3,2]=>[4,6,8,7,5,1,3,2]=>[2,3,1,5,7,8,6,4]=>[[1,2,4,5,6],[3,7],[8]]=>19 [6,4,8,1,5,3,7,2]=>[4,1,6,8,5,3,7,2]=>[2,7,3,5,8,6,1,4]=>[[1,2,4,5],[3,6],[7,8]]=>17 [2,6,3,8,1,5,7,4]=>[2,6,3,8,5,7,1,4]=>[4,1,7,5,8,3,6,2]=>[[1,3,5],[2,4,7],[6],[8]]=>12 [4,1,3,8,6,7,5,2]=>[4,8,6,7,1,3,5,2]=>[2,5,3,1,7,6,8,4]=>[[1,2,5,7],[3,6],[4,8]]=>13 [4,8,6,1,3,7,5,2]=>[4,1,6,8,7,3,5,2]=>[2,5,3,7,8,6,1,4]=>[[1,2,4,5],[3,6],[7,8]]=>17 [3,1,4,7,5,2,6,8]=>[1,7,3,4,5,2,6,8]=>[8,6,2,5,4,3,7,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>7 [1,6,4,3,5,8,2,7]=>[4,3,6,8,5,1,2,7]=>[7,2,1,5,8,6,3,4]=>[[1,4,5],[2,6,8],[3,7]]=>10 [5,1,4,3,7,8,6,2]=>[5,4,7,8,1,3,6,2]=>[2,6,3,1,8,7,4,5]=>[[1,2,5,8],[3,6],[4,7]]=>12 [6,4,1,5,8,2,3,7]=>[4,6,1,2,8,5,3,7]=>[7,3,5,8,2,1,6,4]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [2,7,6,3,5,1,8,4]=>[7,2,6,5,3,8,1,4]=>[4,1,8,3,5,6,2,7]=>[[1,3,5,6,8],[2,4],[7]]=>14 [2,8,7,5,3,4,6,1]=>[2,8,3,7,5,4,6,1]=>[1,6,4,5,7,3,8,2]=>[[1,2,4,5,7],[3],[6],[8]]=>18 [5,7,6,3,4,2,1,8]=>[7,5,3,6,4,2,1,8]=>[8,1,2,4,6,3,5,7]=>[[1,3,4,5,8],[2,7],[6]]=>18 [2,5,7,6,3,4,1,8]=>[7,5,2,6,3,4,1,8]=>[8,1,4,3,6,2,5,7]=>[[1,3,5,8],[2,7],[4],[6]]=>13 [4,6,5,1,7,8,3,2]=>[4,6,1,5,7,8,3,2]=>[2,3,8,7,5,1,6,4]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [5,6,2,4,7,1,3,8]=>[2,5,6,4,1,7,3,8]=>[8,3,7,1,4,6,5,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>13 [2,8,3,5,1,6,7,4]=>[5,2,3,6,8,7,1,4]=>[4,1,7,8,6,3,2,5]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [3,4,6,2,7,5,1,8]=>[6,3,4,7,2,5,1,8]=>[8,1,5,2,7,4,3,6]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [4,3,6,1,2,7,8,5]=>[4,1,6,3,7,8,2,5]=>[5,2,8,7,3,6,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [3,7,6,2,5,1,8,4]=>[3,7,6,5,2,8,1,4]=>[4,1,8,2,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>15 [3,4,1,8,7,2,5,6]=>[8,7,3,1,4,2,5,6]=>[6,5,2,4,1,3,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [2,7,8,6,4,3,1,5]=>[2,7,8,6,4,3,1,5]=>[5,1,3,4,6,8,7,2]=>[[1,3,4,5,6],[2,7],[8]]=>18 [2,7,4,3,6,1,5,8]=>[2,7,4,6,3,1,5,8]=>[8,5,1,3,6,4,7,2]=>[[1,4,5,7],[2,6],[3],[8]]=>11 [4,7,2,5,3,1,6,8]=>[2,4,7,5,3,1,6,8]=>[8,6,1,3,5,7,4,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>12 [7,2,6,1,3,5,8,4]=>[2,7,1,6,3,5,8,4]=>[4,8,5,3,6,1,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [6,2,7,1,5,8,3,4]=>[2,6,7,5,1,3,8,4]=>[4,8,3,1,5,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>14 [7,4,3,6,1,8,2,5]=>[4,3,7,1,6,2,8,5]=>[5,8,2,6,1,7,3,4]=>[[1,2,6],[3,4,8],[5,7]]=>16 [6,8,5,3,2,4,7,1]=>[3,2,8,6,5,4,7,1]=>[1,7,4,5,6,8,2,3]=>[[1,2,4,5,6],[3,8],[7]]=>20 [2,5,7,4,6,1,8,3]=>[7,5,4,6,2,8,1,3]=>[3,1,8,2,6,4,5,7]=>[[1,3,5,7,8],[2,4],[6]]=>13 [7,8,6,1,5,4,2,3]=>[7,1,8,2,6,5,4,3]=>[3,4,5,6,2,8,1,7]=>[[1,2,3,4,6],[5,8],[7]]=>22 [7,3,6,1,5,2,8,4]=>[3,1,7,6,2,5,8,4]=>[4,8,5,2,6,7,1,3]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [1,8,6,2,4,7,5,3]=>[1,4,8,6,7,5,2,3]=>[3,2,5,7,6,8,4,1]=>[[1,3,4,6],[2,5],[7],[8]]=>14 [2,4,1,8,7,5,6,3]=>[8,7,4,2,5,6,1,3]=>[3,1,6,5,2,4,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>12 [2,8,7,5,1,4,6,3]=>[2,5,4,8,7,6,1,3]=>[3,1,6,7,8,4,5,2]=>[[1,3,4,5],[2,6,7],[8]]=>17 [5,7,3,6,4,2,1,8]=>[5,7,3,6,4,2,1,8]=>[8,1,2,4,6,3,7,5]=>[[1,3,4,5,7],[2,8],[6]]=>17 [5,7,3,6,4,1,8,2]=>[5,7,3,1,6,4,8,2]=>[2,8,4,6,1,3,7,5]=>[[1,2,4,7],[3,6,8],[5]]=>17 [3,7,5,6,4,1,8,2]=>[5,7,6,3,1,4,8,2]=>[2,8,4,1,3,6,7,5]=>[[1,2,6,7],[3,5,8],[4]]=>16 [8,9,6,7,4,5,2,1,3]=>[8,6,4,2,1,9,7,5,3]=>[3,5,7,9,1,2,4,6,8]=>[[1,2,3,4,9],[5,6,7,8]]=>31 [10,8,9,6,7,4,5,2,1,3]=>[8,6,4,2,1,10,9,7,5,3]=>[3,5,7,9,10,1,2,4,6,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>40 [2,8,1,4,5,3,6,7]=>[2,4,5,1,3,8,6,7]=>[7,6,8,3,1,5,4,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>9 [5,3,2,6,7,8,1,4]=>[3,2,5,6,7,1,8,4]=>[4,8,1,7,6,5,2,3]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [7,4,6,5,3,2,1,8]=>[7,4,6,5,3,2,1,8]=>[8,1,2,3,5,6,4,7]=>[[1,3,4,5,6,8],[2],[7]]=>19 [7,5,1,3,4,2,8,6]=>[1,5,3,4,2,7,8,6]=>[6,8,7,2,4,3,5,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>13 [6,1,5,3,4,2,7,8]=>[1,6,5,3,4,2,7,8]=>[8,7,2,4,3,5,6,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>10 [5,2,3,6,4,7,1,8]=>[2,3,5,6,4,7,1,8]=>[8,1,7,4,6,5,3,2]=>[[1,3,5],[2],[4],[6],[7],[8]]=>10 [6,8,4,5,3,2,1,7]=>[4,8,6,5,3,2,1,7]=>[7,1,2,3,5,6,8,4]=>[[1,3,4,5,6,7],[2],[8]]=>20 [6,7,2,3,5,8,1,4]=>[2,3,6,7,5,1,8,4]=>[4,8,1,5,7,6,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>16 [7,4,5,8,2,3,1,6]=>[4,5,2,7,3,1,8,6]=>[6,8,1,3,7,2,5,4]=>[[1,2,5],[3,4],[6,7],[8]]=>18 [1,7,8,6,3,2,4,5]=>[7,1,3,2,8,6,4,5]=>[5,4,6,8,2,3,1,7]=>[[1,3,4],[2,6,8],[5],[7]]=>15 [7,1,2,5,3,8,4,6]=>[1,5,7,2,3,4,8,6]=>[6,8,4,3,2,7,5,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>10 [4,5,2,6,8,7,1,3]=>[4,8,2,5,6,1,7,3]=>[3,7,1,6,5,2,8,4]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [4,5,2,6,8,3,1,7]=>[4,8,2,5,6,3,1,7]=>[7,1,3,6,5,2,8,4]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [6,7,5,2,1,4,3,8]=>[2,1,6,7,5,4,3,8]=>[8,3,4,5,7,6,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [7,6,2,5,4,3,8,1]=>[7,6,2,5,4,3,8,1]=>[1,8,3,4,5,2,6,7]=>[[1,2,4,5,7,8],[3],[6]]=>19 [8,2,6,7,3,5,4,1]=>[2,6,8,7,3,5,4,1]=>[1,4,5,3,7,8,6,2]=>[[1,2,3,5,6],[4,7],[8]]=>20 [4,1,2,5,7,8,6,3]=>[7,8,1,2,4,5,6,3]=>[3,6,5,4,2,1,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [5,3,7,8,4,2,1,6]=>[5,7,3,8,4,2,1,6]=>[6,1,2,4,8,3,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>17 [7,5,8,2,4,3,6,1]=>[2,5,7,4,3,8,6,1]=>[1,6,8,3,4,7,5,2]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [1,7,2,4,8,5,6,3]=>[7,1,4,8,5,6,2,3]=>[3,2,6,5,8,4,1,7]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [7,8,2,3,5,4,6,1]=>[7,2,3,5,4,8,6,1]=>[1,6,8,4,5,3,2,7]=>[[1,2,3,8],[4,5],[6],[7]]=>18 [8,7,2,3,5,4,6,1]=>[5,2,3,4,8,7,6,1]=>[1,6,7,8,4,3,2,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [1,7,6,8,4,5,3,2]=>[7,6,4,8,5,3,1,2]=>[2,1,3,5,8,4,6,7]=>[[1,3,4,5,8],[2,6,7]]=>18 [3,8,5,2,1,6,7,4]=>[5,3,2,6,8,7,1,4]=>[4,1,7,8,6,2,3,5]=>[[1,3,4,8],[2,5,7],[6]]=>14 [7,4,1,3,8,6,2,5]=>[4,7,8,1,3,2,6,5]=>[5,6,2,3,1,8,7,4]=>[[1,2,6],[3,4,7],[5,8]]=>15 [4,3,8,6,1,5,7,2]=>[4,3,8,6,1,5,7,2]=>[2,7,5,1,6,8,3,4]=>[[1,2,5,6],[3,7,8],[4]]=>15 [2,6,3,4,8,5,7,1]=>[6,2,3,8,4,5,7,1]=>[1,7,5,4,8,3,2,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [6,5,4,2,3,8,7,1]=>[2,6,5,4,8,3,7,1]=>[1,7,3,8,4,5,6,2]=>[[1,2,4,6,7],[3,5],[8]]=>17 [2,1,4,7,3,6,5,8]=>[2,7,4,6,1,3,5,8]=>[8,5,3,1,6,4,7,2]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [2,8,6,1,5,7,4,3]=>[6,2,5,8,7,4,1,3]=>[3,1,4,7,8,5,2,6]=>[[1,3,4,5],[2,6,8],[7]]=>16 [8,3,5,1,7,6,4,2]=>[3,8,7,1,5,6,4,2]=>[2,4,6,5,1,7,8,3]=>[[1,2,3,6,7],[4,8],[5]]=>18 [6,4,1,5,7,8,2,3]=>[1,6,4,5,7,2,8,3]=>[3,8,2,7,5,4,6,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>14 [4,1,3,5,8,2,6,7]=>[8,4,1,3,5,2,6,7]=>[7,6,2,5,3,1,4,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>8 [1,6,2,4,5,3,8,7]=>[1,6,4,5,8,2,3,7]=>[7,3,2,8,5,4,6,1]=>[[1,4,7],[2,5],[3,6],[8]]=>7 [1,8,2,4,6,5,7,3]=>[8,1,4,6,5,7,2,3]=>[3,2,7,5,6,4,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [1,8,2,6,4,3,7,5]=>[8,1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>11 [1,6,4,3,8,7,2,5]=>[6,8,4,7,1,3,2,5]=>[5,2,3,1,7,4,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>12 [8,4,6,1,5,7,2,3]=>[6,1,4,5,2,8,7,3]=>[3,7,8,2,5,4,1,6]=>[[1,2,3],[4,5,8],[6],[7]]=>18 [8,4,2,1,6,5,7,3]=>[2,6,1,4,5,8,7,3]=>[3,7,8,5,4,1,6,2]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [6,8,7,1,4,2,3,5]=>[1,8,2,6,4,3,7,5]=>[5,7,3,4,6,2,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [6,8,7,4,5,2,1,3]=>[8,6,4,2,1,7,5,3]=>[3,5,7,1,2,4,6,8]=>[[1,2,3,7,8],[4,5,6]]=>23 [1,7,2,8,6,5,3,4]=>[7,1,8,6,2,5,3,4]=>[4,3,5,2,6,8,1,7]=>[[1,3,5,6],[2,8],[4],[7]]=>14 [5,7,1,6,4,2,3,8]=>[7,5,1,2,6,4,3,8]=>[8,3,4,6,2,1,5,7]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [2,8,4,6,7,1,5,3]=>[4,8,6,2,7,5,1,3]=>[3,1,5,7,2,6,8,4]=>[[1,3,4,7],[2,5,6],[8]]=>16 [3,8,5,1,4,2,6,7]=>[3,5,1,4,2,8,6,7]=>[7,6,8,2,4,1,5,3]=>[[1,3,7],[2,5],[4,8],[6]]=>12 [1,7,6,2,5,3,8,4]=>[1,7,2,6,5,8,3,4]=>[4,3,8,5,6,2,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [2,8,5,1,4,3,6,7]=>[2,5,4,1,3,8,6,7]=>[7,6,8,3,1,4,5,2]=>[[1,3,7],[2,6],[4,8],[5]]=>11 [3,6,5,2,8,4,7,1]=>[6,5,8,3,2,4,7,1]=>[1,7,4,2,3,8,5,6]=>[[1,2,5,6,8],[3,7],[4]]=>15 [3,4,8,6,1,7,2,5]=>[8,3,6,4,1,7,2,5]=>[5,2,7,1,4,6,3,8]=>[[1,3,6,8],[2,5],[4,7]]=>14 [4,7,6,2,3,5,8,1]=>[2,7,6,4,3,5,8,1]=>[1,8,5,3,4,6,7,2]=>[[1,2,5,6,7],[3],[4],[8]]=>16 [4,7,1,6,2,5,8,3]=>[4,7,1,6,2,5,8,3]=>[3,8,5,2,6,1,7,4]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [5,4,1,8,2,6,7,3]=>[5,8,1,4,2,6,7,3]=>[3,7,6,2,4,1,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [2,7,6,1,5,3,4,8]=>[7,2,1,6,5,3,4,8]=>[8,4,3,5,6,1,2,7]=>[[1,4,5,8],[2,7],[3],[6]]=>12 [7,6,3,5,4,8,2,1]=>[7,3,6,5,4,8,2,1]=>[1,2,8,4,5,6,3,7]=>[[1,2,3,5,6,8],[4],[7]]=>21 [5,4,8,1,3,6,2,7]=>[8,1,5,4,3,6,2,7]=>[7,2,6,3,4,5,1,8]=>[[1,3,5,6,8],[2],[4],[7]]=>14 [5,1,3,8,6,4,7,2]=>[5,8,1,6,3,4,7,2]=>[2,7,4,3,6,1,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>13 [6,4,1,3,5,7,8,2]=>[4,1,3,6,5,7,8,2]=>[2,8,7,5,6,3,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [7,4,3,6,1,5,8,2]=>[4,3,7,1,6,5,8,2]=>[2,8,5,6,1,7,3,4]=>[[1,2,4,6],[3,7,8],[5]]=>16 [6,2,1,3,5,7,8,4]=>[2,6,1,3,5,7,8,4]=>[4,8,7,5,3,1,6,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>9 [2,3,7,6,1,4,5,8]=>[2,7,6,3,1,4,5,8]=>[8,5,4,1,3,6,7,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>9 [7,8,2,1,3,5,6,4]=>[2,7,1,3,5,8,6,4]=>[4,6,8,5,3,1,7,2]=>[[1,2,3],[4,7],[5,8],[6]]=>15 [3,6,2,1,5,7,8,4]=>[3,2,6,5,7,8,1,4]=>[4,1,8,7,5,6,2,3]=>[[1,3,6],[2,4,8],[5],[7]]=>10 [4,8,2,3,7,5,1,6]=>[4,2,8,3,7,5,1,6]=>[6,1,5,7,3,8,2,4]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [2,5,7,3,1,6,4,8]=>[2,7,5,3,6,1,4,8]=>[8,4,1,6,3,5,7,2]=>[[1,4,6,7],[2,5],[3],[8]]=>10 [8,2,6,4,3,7,1,5]=>[4,2,3,8,6,1,7,5]=>[5,7,1,6,8,3,2,4]=>[[1,2,5],[3,4,8],[6],[7]]=>17 [4,5,6,8,2,1,3,7]=>[8,4,5,2,1,6,3,7]=>[7,3,6,1,2,5,4,8]=>[[1,3,6,8],[2,5],[4],[7]]=>14 [2,1,5,7,4,6,3,8]=>[7,5,2,4,6,1,3,8]=>[8,3,1,6,4,2,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [7,8,4,6,5,2,1,3]=>[4,7,2,1,8,6,5,3]=>[3,5,6,8,1,2,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>23 [1,7,2,5,3,6,8,4]=>[1,2,7,5,6,8,3,4]=>[4,3,8,6,5,7,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>9 [6,2,5,7,1,8,3,4]=>[6,5,2,7,1,3,8,4]=>[4,8,3,1,7,2,5,6]=>[[1,2,7,8],[3,5],[4,6]]=>14 [4,1,3,5,7,2,6,8]=>[4,7,1,3,5,2,6,8]=>[8,6,2,5,3,1,7,4]=>[[1,4,7],[2,8],[3],[5],[6]]=>7 [4,1,8,2,7,6,5,3]=>[8,7,4,6,1,2,5,3]=>[3,5,2,1,6,4,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>14 [1,5,8,4,3,6,2,7]=>[5,4,3,8,6,1,2,7]=>[7,2,1,6,8,3,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>12 [1,5,2,6,7,4,8,3]=>[5,6,7,1,4,8,2,3]=>[3,2,8,4,1,7,6,5]=>[[1,3,6],[2,4],[5,7],[8]]=>9 [6,2,3,8,1,4,7,5]=>[6,2,3,8,1,4,7,5]=>[5,7,4,1,8,3,2,6]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [3,7,6,2,1,4,5,8]=>[3,2,1,7,6,4,5,8]=>[8,5,4,6,7,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [4,2,1,6,7,5,8,3]=>[2,6,7,1,4,5,8,3]=>[3,8,5,4,1,7,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [5,1,7,6,4,3,8,2]=>[7,5,6,4,1,3,8,2]=>[2,8,3,1,4,6,5,7]=>[[1,2,5,6,8],[3,7],[4]]=>15 [1,5,8,3,7,2,4,6]=>[1,5,8,7,3,2,4,6]=>[6,4,2,3,7,8,5,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12 [3,4,1,6,5,2,8,7]=>[3,6,1,4,5,8,2,7]=>[7,2,8,5,4,1,6,3]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [5,3,1,6,7,2,8,4]=>[1,3,5,6,2,7,8,4]=>[4,8,7,2,6,5,3,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>11 [4,1,8,5,3,7,6,2]=>[4,5,8,7,1,3,6,2]=>[2,6,3,1,7,8,5,4]=>[[1,2,5,6],[3,7],[4,8]]=>14 [3,8,4,5,2,6,1,7]=>[3,4,5,2,8,6,1,7]=>[7,1,6,8,2,5,4,3]=>[[1,3,4],[2,6],[5],[7],[8]]=>14 [3,8,2,4,5,6,1,7]=>[3,2,4,5,8,6,1,7]=>[7,1,6,8,5,4,2,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>12 [1,4,8,7,6,3,5,2]=>[8,7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>16 [8,1,6,3,7,5,2,4]=>[6,8,7,1,3,2,5,4]=>[4,5,2,3,1,7,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>17 [5,4,7,1,8,2,3,6]=>[5,1,7,4,2,8,3,6]=>[6,3,8,2,4,7,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>14 [4,3,2,7,6,8,1,5]=>[4,7,3,6,8,2,1,5]=>[5,1,2,8,6,3,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>13 [4,3,2,8,6,7,1,5]=>[8,4,3,6,7,2,1,5]=>[5,1,2,7,6,3,4,8]=>[[1,3,4,7,8],[2,5],[6]]=>14 [3,4,2,1,5,8,6,7]=>[3,4,8,2,1,5,6,7]=>[7,6,5,1,2,8,4,3]=>[[1,5,6],[2,7],[3],[4],[8]]=>7 [5,4,3,1,7,6,8,2]=>[1,5,4,7,3,6,8,2]=>[2,8,6,3,7,4,5,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13 [4,5,2,7,1,8,3,6]=>[4,5,2,7,1,8,3,6]=>[6,3,8,1,7,2,5,4]=>[[1,3,7],[2,5],[4,6],[8]]=>12 [6,5,2,8,7,4,1,3]=>[6,8,2,5,1,7,4,3]=>[3,4,7,1,5,2,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>19 [4,8,5,2,1,3,7,6]=>[4,2,1,5,8,7,3,6]=>[6,3,7,8,5,1,2,4]=>[[1,3,4],[2,5,8],[6,7]]=>14 [9,8,7,6,5,3,1,4,2]=>[1,3,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,3,1]=>[[1,2,3,4,5,6,7],[8],[9]]=>33 [6,2,5,3,8,7,1,4]=>[2,6,8,3,5,1,7,4]=>[4,7,1,5,3,8,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [8,4,7,5,2,3,1,6]=>[4,2,8,5,3,1,7,6]=>[6,7,1,3,5,8,2,4]=>[[1,2,5,6],[3,4],[7,8]]=>20 [8,2,4,7,5,3,1,6]=>[4,8,5,2,3,1,7,6]=>[6,7,1,3,2,5,8,4]=>[[1,2,6,7],[3,4],[5,8]]=>17 [8,2,6,7,5,3,1,4]=>[6,2,8,7,3,1,5,4]=>[4,5,1,3,7,8,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>20 [6,4,5,8,7,3,1,2]=>[4,6,8,5,1,7,3,2]=>[2,3,7,1,5,8,6,4]=>[[1,2,3,6],[4,5,7],[8]]=>20 [4,6,5,3,8,7,1,2]=>[6,4,5,8,3,1,7,2]=>[2,7,1,3,8,5,4,6]=>[[1,2,5,8],[3,4,6],[7]]=>17 [6,7,2,4,5,3,1,8]=>[6,2,4,7,5,3,1,8]=>[8,1,3,5,7,4,2,6]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [6,8,7,4,5,3,1,2]=>[8,6,4,1,7,5,3,2]=>[2,3,5,7,1,4,6,8]=>[[1,2,3,4,8],[5,6,7]]=>24 [2,8,4,7,5,3,1,6]=>[2,8,7,4,5,3,1,6]=>[6,1,3,5,4,7,8,2]=>[[1,3,4,6,7],[2],[5],[8]]=>16 [6,5,8,4,7,2,1,3]=>[6,8,5,4,2,1,7,3]=>[3,7,1,2,4,5,8,6]=>[[1,2,5,6,7],[3,4,8]]=>21 [6,8,1,2,4,7,3,5]=>[6,8,1,2,4,3,7,5]=>[5,7,3,4,2,1,8,6]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [6,7,4,2,8,5,1,3]=>[2,6,4,7,1,8,5,3]=>[3,5,8,1,7,4,6,2]=>[[1,2,3],[4,5,7],[6],[8]]=>19 [8,3,7,6,2,5,4,1]=>[3,8,7,6,2,5,4,1]=>[1,4,5,2,6,7,8,3]=>[[1,2,3,5,6,7],[4,8]]=>22 [8,7,1,2,5,6,4,3]=>[1,8,7,2,5,6,4,3]=>[3,4,6,5,2,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>18 [4,6,1,3,5,8,2,7]=>[4,1,6,8,3,5,2,7]=>[7,2,5,3,8,6,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>11 [4,5,1,3,8,7,2,6]=>[8,1,4,5,7,3,2,6]=>[6,2,3,7,5,4,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>12 [6,2,7,1,8,3,4,5]=>[2,6,1,7,3,4,8,5]=>[5,8,4,3,7,1,6,2]=>[[1,2],[3,5],[4,7],[6,8]]=>13 [6,4,5,8,1,7,2,3]=>[4,6,5,1,8,2,7,3]=>[3,7,2,8,1,5,6,4]=>[[1,2,4],[3,6,7],[5,8]]=>17 [2,4,7,6,1,8,3,5]=>[7,6,4,8,2,1,3,5]=>[5,3,1,2,8,4,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>12 [10,8,9,7,6,5,4,3,2,1]=>[8,10,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,10,8]=>[[1,2,3,4,5,6,7,8,9],[10]]=>44 [7,4,5,8,6,3,2,1]=>[4,5,7,8,6,3,2,1]=>[1,2,3,6,8,7,5,4]=>[[1,2,3,4,5],[6],[7],[8]]=>22 [9,6,7,8,5,4,3,2,1]=>[6,7,9,8,5,4,3,2,1]=>[1,2,3,4,5,8,9,7,6]=>[[1,2,3,4,5,6,7],[8],[9]]=>33 [7,9,8,5,4,3,2,1,6]=>[9,7,5,4,3,2,1,8,6]=>[6,8,1,2,3,4,5,7,9]=>[[1,2,5,6,7,8,9],[3,4]]=>29 [1,6,2,3,8,5,7,4]=>[8,6,1,2,5,7,3,4]=>[4,3,7,5,2,1,6,8]=>[[1,3,7,8],[2,4],[5],[6]]=>9 [9,8,7,6,5,2,3,4,1]=>[2,3,9,8,7,6,5,4,1]=>[1,4,5,6,7,8,9,3,2]=>[[1,2,3,4,5,6,7],[8],[9]]=>33 [7,3,1,6,5,8,2,4]=>[7,6,1,3,5,2,8,4]=>[4,8,2,5,3,1,6,7]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [1,6,7,5,3,2,8,4]=>[1,6,7,5,3,8,2,4]=>[4,2,8,3,5,7,6,1]=>[[1,3,5,6],[2,4],[7],[8]]=>13 [7,3,4,6,1,8,2,5]=>[3,4,7,1,6,2,8,5]=>[5,8,2,6,1,7,4,3]=>[[1,2,6],[3,4],[5,7],[8]]=>15 [3,7,4,1,2,8,6,5]=>[3,1,4,7,8,6,2,5]=>[5,2,6,8,7,4,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>12 [5,7,1,2,4,6,8,3]=>[5,1,2,7,4,6,8,3]=>[3,8,6,4,7,2,1,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [7,4,1,3,6,8,2,5]=>[4,7,1,3,6,2,8,5]=>[5,8,2,6,3,1,7,4]=>[[1,2,7],[3,4,8],[5],[6]]=>14 [1,6,2,8,7,3,4,5]=>[1,8,6,2,3,7,4,5]=>[5,4,7,3,2,6,8,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>11 [1,6,8,5,7,4,3,2]=>[8,6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6,8]=>[[1,3,4,5,7,8],[2,6]]=>18 [3,8,1,2,4,7,6,5]=>[8,1,3,7,2,6,4,5]=>[5,4,6,2,7,3,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [1,4,5,7,3,6,8,2]=>[7,4,5,3,6,8,1,2]=>[2,1,8,6,3,5,4,7]=>[[1,3,6,8],[2,4],[5],[7]]=>10 [3,2,1,6,4,5,8,7]=>[3,6,2,8,1,4,5,7]=>[7,5,4,1,8,2,6,3]=>[[1,5,7],[2,6],[3,8],[4]]=>6 [3,2,4,6,1,7,8,5]=>[3,6,2,4,7,8,1,5]=>[5,1,8,7,4,2,6,3]=>[[1,3,7],[2,4],[5,8],[6]]=>8 [3,2,4,6,1,8,5,7]=>[3,6,8,2,4,1,5,7]=>[7,5,1,4,2,8,6,3]=>[[1,4,6],[2,7],[3,8],[5]]=>8 [3,1,8,4,6,2,5,7]=>[8,1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>10 [4,2,7,3,5,8,1,6]=>[2,7,4,8,3,5,1,6]=>[6,1,5,3,8,4,7,2]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [4,2,7,8,6,3,1,5]=>[7,8,4,2,6,3,1,5]=>[5,1,3,6,2,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>16 [7,1,4,2,8,6,3,5]=>[4,7,1,8,2,3,6,5]=>[5,6,3,2,8,1,7,4]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [7,1,3,6,8,4,5,2]=>[7,6,1,3,8,4,5,2]=>[2,5,4,8,3,1,6,7]=>[[1,2,4,8],[3,7],[5],[6]]=>15 [8,4,6,3,5,1,7,2]=>[6,4,3,1,5,8,7,2]=>[2,7,8,5,1,3,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>19 [7,3,2,6,8,4,5,1]=>[7,3,6,2,4,8,5,1]=>[1,5,8,4,2,6,3,7]=>[[1,2,3,8],[4,6],[5,7]]=>17 [4,3,2,8,7,5,6,1]=>[8,4,7,3,2,5,6,1]=>[1,6,5,2,3,7,4,8]=>[[1,2,5,6,8],[3,7],[4]]=>15 [5,2,4,8,7,3,6,1]=>[8,5,7,2,4,3,6,1]=>[1,6,3,4,2,7,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>16 [5,1,4,2,6,3,7,8]=>[1,5,2,4,6,3,7,8]=>[8,7,3,6,4,2,5,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>7 [7,1,2,4,6,3,5,8]=>[7,4,1,2,3,6,5,8]=>[8,5,6,3,2,1,4,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>9 [4,1,5,7,8,6,2,3]=>[7,8,4,5,1,2,6,3]=>[3,6,2,1,5,4,8,7]=>[[1,2,7],[3,5,8],[4,6]]=>13 [6,1,4,8,2,3,7,5]=>[4,1,6,8,2,3,7,5]=>[5,7,3,2,8,6,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>12 [2,5,7,8,6,4,1,3]=>[7,8,5,6,4,2,1,3]=>[3,1,2,4,6,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>17 [8,7,4,6,2,5,3,1]=>[4,8,2,7,6,5,3,1]=>[1,3,5,6,7,2,8,4]=>[[1,2,3,4,5,7],[6,8]]=>24 [8,4,1,7,6,2,5,3]=>[4,8,7,1,2,6,5,3]=>[3,5,6,2,1,7,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>18 [1,7,5,4,6,2,3,8]=>[5,4,1,7,6,2,3,8]=>[8,3,2,6,7,1,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>12 [6,1,7,4,8,5,2,3]=>[1,6,7,8,4,2,5,3]=>[3,5,2,4,8,7,6,1]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [7,4,1,8,6,2,5,3]=>[7,4,8,1,2,6,5,3]=>[3,5,6,2,1,8,4,7]=>[[1,2,3,6],[4,7,8],[5]]=>17 [1,8,6,2,7,5,3,4]=>[8,1,6,2,7,5,3,4]=>[4,3,5,7,2,6,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>15 [4,8,7,1,6,2,5,3]=>[4,8,1,7,6,2,5,3]=>[3,5,2,6,7,1,8,4]=>[[1,2,4,5,7],[3,8],[6]]=>18 [3,8,7,1,6,2,4,5]=>[1,8,3,2,7,6,4,5]=>[5,4,6,7,2,3,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>16 [7,3,6,8,5,4,2,1]=>[7,6,8,3,5,4,2,1]=>[1,2,4,5,3,8,6,7]=>[[1,2,3,4,6,8],[5,7]]=>22 [8,5,6,2,3,7,4,1]=>[2,5,3,6,8,7,4,1]=>[1,4,7,8,6,3,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [7,8,1,4,5,6,2,3]=>[4,7,5,1,2,8,6,3]=>[3,6,8,2,1,5,7,4]=>[[1,2,3],[4,6,7],[5,8]]=>18 [1,2,4,8,6,7,3,5]=>[6,8,7,4,1,2,3,5]=>[5,3,2,1,4,7,8,6]=>[[1,5,6,7],[2,8],[3],[4]]=>9 [8,1,2,6,5,7,3,4]=>[8,6,1,5,2,3,7,4]=>[4,7,3,2,5,1,6,8]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [7,1,2,6,5,8,3,4]=>[7,6,5,1,2,3,8,4]=>[4,8,3,2,1,5,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>13 [2,7,1,4,5,6,8,3]=>[2,4,5,7,6,8,1,3]=>[3,1,8,6,7,5,4,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>10 [5,4,7,8,6,2,3,1]=>[5,7,8,4,2,6,3,1]=>[1,3,6,2,4,8,7,5]=>[[1,2,3,6],[4,5,7],[8]]=>20 [3,7,5,6,4,8,2,1]=>[5,7,6,3,4,8,2,1]=>[1,2,8,4,3,6,7,5]=>[[1,2,3,6,7],[4,8],[5]]=>18 [7,4,8,3,5,6,2,1]=>[7,4,3,5,8,6,2,1]=>[1,2,6,8,5,3,4,7]=>[[1,2,3,4,8],[5,7],[6]]=>21 [3,1,8,6,4,5,7,2]=>[1,8,3,6,4,5,7,2]=>[2,7,5,4,6,3,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>13 [3,1,7,5,2,6,8,4]=>[3,1,7,5,6,8,2,4]=>[4,2,8,6,5,7,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>10 [3,2,7,5,1,6,8,4]=>[3,7,5,2,6,8,1,4]=>[4,1,8,6,2,5,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>11 [5,2,7,3,1,6,8,4]=>[5,2,3,7,1,6,8,4]=>[4,8,6,1,7,3,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [6,7,2,1,3,4,8,5]=>[2,1,3,6,4,7,8,5]=>[5,8,7,4,6,3,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>12 [4,5,6,8,2,7,1,3]=>[4,5,6,8,2,1,7,3]=>[3,7,1,2,8,6,5,4]=>[[1,2,5],[3,4,6],[7],[8]]=>16 [1,7,2,5,8,4,6,3]=>[7,8,1,5,4,6,2,3]=>[3,2,6,4,5,1,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>12 [5,1,3,7,6,8,4,2]=>[7,1,5,6,8,3,4,2]=>[2,4,3,8,6,5,1,7]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [5,7,2,4,6,8,3,1]=>[5,2,7,4,6,8,3,1]=>[1,3,8,6,4,7,2,5]=>[[1,2,3,6],[4,8],[5],[7]]=>17 [2,4,5,8,3,6,7,1]=>[4,8,5,2,3,6,7,1]=>[1,7,6,3,2,5,8,4]=>[[1,2,6,7],[3,8],[4],[5]]=>12 [4,6,1,7,5,3,8,2]=>[6,7,1,4,5,3,8,2]=>[2,8,3,5,4,1,7,6]=>[[1,2,4,7],[3,8],[5],[6]]=>14 [6,1,7,5,3,4,8,2]=>[6,1,7,5,3,4,8,2]=>[2,8,4,3,5,7,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>15 [5,9,8,7,6,4,3,1,2]=>[9,8,7,5,1,6,4,3,2]=>[2,3,4,6,1,5,7,8,9]=>[[1,2,3,4,7,8,9],[5,6]]=>31 [4,5,8,7,6,3,1,2]=>[8,7,4,5,1,6,3,2]=>[2,3,6,1,5,4,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>20 [8,7,4,6,5,3,1,2]=>[8,4,1,7,6,5,3,2]=>[2,3,5,6,7,1,4,8]=>[[1,2,3,4,5,8],[6,7]]=>25 [5,3,7,2,1,6,4,8]=>[3,5,2,7,1,6,4,8]=>[8,4,6,1,7,2,5,3]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [7,1,2,8,6,3,4,5]=>[1,7,2,8,3,4,6,5]=>[5,6,4,3,8,2,7,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>13 [8,7,1,3,5,6,4,2]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>19 [8,1,4,6,7,5,3,2]=>[4,8,6,7,5,1,3,2]=>[2,3,1,5,7,6,8,4]=>[[1,2,4,5,7],[3,6],[8]]=>18 [8,1,5,7,6,4,3,2]=>[8,5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5,8]=>[[1,2,4,5,6,8],[3,7]]=>20 [1,4,7,8,3,6,5,2]=>[7,4,8,6,3,5,1,2]=>[2,1,5,3,6,8,4,7]=>[[1,3,5,6],[2,4,7,8]]=>14 [1,4,6,7,5,2,3,8]=>[6,7,4,1,5,2,3,8]=>[8,3,2,5,1,4,7,6]=>[[1,4,7],[2,6,8],[3],[5]]=>10 [4,7,1,3,5,2,8,6]=>[4,1,3,7,5,8,2,6]=>[6,2,8,5,7,3,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [1,6,3,7,8,4,2,5]=>[6,7,1,8,3,4,2,5]=>[5,2,4,3,8,1,7,6]=>[[1,3,5],[2,7],[4,8],[6]]=>12 [5,3,8,4,6,7,2,1]=>[3,8,5,4,6,7,2,1]=>[1,2,7,6,4,5,8,3]=>[[1,2,3,6,7],[4],[5],[8]]=>18 [3,2,7,8,5,6,4,1]=>[7,3,8,5,6,2,4,1]=>[1,4,2,6,5,8,3,7]=>[[1,2,4,6],[3,5,8],[7]]=>16 [4,7,3,8,5,6,2,1]=>[4,7,3,8,5,6,2,1]=>[1,2,6,5,8,3,7,4]=>[[1,2,3,5],[4,7],[6,8]]=>19 [1,7,3,8,6,4,5,2]=>[7,3,8,4,6,5,1,2]=>[2,1,5,6,4,8,3,7]=>[[1,3,4,6],[2,5,8],[7]]=>15 [7,4,2,8,5,6,3,1]=>[7,2,4,5,8,6,3,1]=>[1,3,6,8,5,4,2,7]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [3,4,8,2,6,7,5,1]=>[3,4,8,6,7,2,5,1]=>[1,5,2,7,6,8,4,3]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [1,4,5,8,7,6,2,3]=>[8,7,4,5,1,6,2,3]=>[3,2,6,1,5,4,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>13 [5,2,1,3,8,4,6,7]=>[5,2,1,3,8,4,6,7]=>[7,6,4,8,3,1,2,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>8 [1,3,6,4,5,8,2,7]=>[3,6,8,4,5,1,2,7]=>[7,2,1,5,4,8,6,3]=>[[1,4,6],[2,5,7],[3],[8]]=>8 [6,1,4,3,5,8,2,7]=>[6,1,4,8,3,5,2,7]=>[7,2,5,3,8,4,1,6]=>[[1,3,5,8],[2,6],[4],[7]]=>11 [6,5,1,3,8,2,4,7]=>[6,5,1,3,2,8,4,7]=>[7,4,8,2,3,1,5,6]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [3,5,8,7,6,1,4,2]=>[8,7,5,3,6,1,4,2]=>[2,4,1,6,3,5,7,8]=>[[1,2,4,7,8],[3,5,6]]=>18 [7,1,5,4,6,3,8,2]=>[5,4,7,6,1,3,8,2]=>[2,8,3,1,6,7,4,5]=>[[1,2,5,6],[3,7,8],[4]]=>15 [8,9,7,6,5,4,3,2,10,1]=>[8,9,7,6,5,4,3,2,10,1]=>[1,10,2,3,4,5,6,7,9,8]=>[[1,2,4,5,6,7,8,9],[3],[10]]=>36 [3,5,6,7,1,8,4,2]=>[5,6,3,7,8,1,4,2]=>[2,4,1,8,7,3,6,5]=>[[1,2,4],[3,5,7],[6],[8]]=>14 [8,4,7,1,5,6,2,3]=>[4,8,1,5,2,7,6,3]=>[3,6,7,2,5,1,8,4]=>[[1,2,3,7],[4,5],[6,8]]=>19 [1,7,8,3,6,2,5,4]=>[7,1,8,3,6,5,2,4]=>[4,2,5,6,3,8,1,7]=>[[1,3,4,6],[2,5,8],[7]]=>15 [7,2,6,4,3,8,5,1]=>[7,2,4,3,6,8,5,1]=>[1,5,8,6,3,4,2,7]=>[[1,2,3,8],[4,6],[5],[7]]=>17 [7,4,5,1,8,2,6,3]=>[1,4,5,2,7,8,6,3]=>[3,6,8,7,2,5,4,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>16 [2,6,3,8,4,5,1,7]=>[2,6,3,8,4,5,1,7]=>[7,1,5,4,8,3,6,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [7,3,6,4,2,5,8,1]=>[3,7,4,2,6,5,8,1]=>[1,8,5,6,2,4,7,3]=>[[1,2,4,7],[3,6],[5],[8]]=>17 [7,2,8,5,3,6,1,4]=>[2,7,3,8,5,1,6,4]=>[4,6,1,5,8,3,7,2]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [5,8,6,4,2,7,1,3]=>[5,2,8,6,4,1,7,3]=>[3,7,1,4,6,8,2,5]=>[[1,2,5,6],[3,4,8],[7]]=>20 [1,3,8,7,6,4,5,2]=>[3,8,7,6,4,5,1,2]=>[2,1,5,4,6,7,8,3]=>[[1,3,5,6,7],[2,4],[8]]=>15 [7,2,3,4,6,1,5,8]=>[7,2,3,4,1,6,5,8]=>[8,5,6,1,4,3,2,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>11 [7,2,1,6,3,8,4,5]=>[2,7,6,1,3,4,8,5]=>[5,8,4,3,1,6,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>12 [4,5,8,1,7,3,2,6]=>[4,1,8,5,7,3,2,6]=>[6,2,3,7,5,8,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>15 [4,8,5,3,2,1,6,7]=>[4,5,3,2,1,8,6,7]=>[7,6,8,1,2,3,5,4]=>[[1,3,6,7],[2,5],[4],[8]]=>15 [8,5,3,2,7,4,6,1]=>[3,5,2,8,4,7,6,1]=>[1,6,7,4,8,2,5,3]=>[[1,2,3,5],[4,7],[6,8]]=>19 [8,6,3,7,4,5,2,1]=>[6,3,4,8,7,5,2,1]=>[1,2,5,7,8,4,3,6]=>[[1,2,3,4,5],[6,8],[7]]=>23 [7,4,3,6,8,5,2,1]=>[4,7,3,6,8,5,2,1]=>[1,2,5,8,6,3,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>20 [7,2,6,8,5,3,4,1]=>[7,6,2,8,3,5,4,1]=>[1,4,5,3,8,2,6,7]=>[[1,2,3,5,8],[4,7],[6]]=>20 [6,8,2,7,5,3,4,1]=>[8,6,2,3,7,5,4,1]=>[1,4,5,7,3,2,6,8]=>[[1,2,3,4,8],[5,7],[6]]=>21 [2,5,3,4,7,8,6,1]=>[2,5,7,8,3,4,6,1]=>[1,6,4,3,8,7,5,2]=>[[1,2,5],[3,6],[4,7],[8]]=>11 [4,5,3,8,7,1,2,6]=>[8,4,5,1,7,3,2,6]=>[6,2,3,7,1,5,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>15 [8,5,4,7,6,1,2,3]=>[5,1,8,4,2,7,6,3]=>[3,6,7,2,4,8,1,5]=>[[1,2,3,6],[4,5,8],[7]]=>21 [7,1,3,8,2,4,6,5]=>[7,1,3,8,2,4,6,5]=>[5,6,4,2,8,3,1,7]=>[[1,2,5],[3,6,8],[4],[7]]=>12 [6,5,2,4,1,8,3,7]=>[6,2,5,4,1,8,3,7]=>[7,3,8,1,4,5,2,6]=>[[1,3,6,8],[2,5],[4,7]]=>14 [5,7,2,4,1,3,8,6]=>[7,2,1,5,4,8,3,6]=>[6,3,8,4,5,1,2,7]=>[[1,3,5,8],[2,4],[6,7]]=>13 [6,2,5,4,1,8,3,7]=>[6,5,2,4,1,8,3,7]=>[7,3,8,1,4,2,5,6]=>[[1,3,7,8],[2,5],[4,6]]=>13 [2,7,8,6,3,5,1,4]=>[2,7,8,6,5,3,1,4]=>[4,1,3,5,6,8,7,2]=>[[1,3,4,5,6],[2,7],[8]]=>18 [8,5,3,1,4,7,6,2]=>[1,3,5,8,4,7,6,2]=>[2,6,7,4,8,5,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>17 [8,4,1,2,3,7,6,5]=>[8,1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [8,3,1,4,2,7,6,5]=>[8,1,3,4,7,2,6,5]=>[5,6,2,7,4,3,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13 [2,5,8,7,3,1,6,4]=>[2,8,7,5,3,6,1,4]=>[4,1,6,3,5,7,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>15 [8,1,2,5,4,3,7,6]=>[5,4,8,1,2,3,7,6]=>[6,7,3,2,1,8,4,5]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [8,3,6,4,2,7,5,1]=>[3,4,2,8,6,7,5,1]=>[1,5,7,6,8,2,4,3]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [7,1,2,6,3,5,8,4]=>[7,1,6,2,3,5,8,4]=>[4,8,5,3,2,6,1,7]=>[[1,2,6,8],[3],[4],[5],[7]]=>11 [8,6,2,1,4,5,7,3]=>[6,2,1,4,5,8,7,3]=>[3,7,8,5,4,1,2,6]=>[[1,2,3],[4,7,8],[5],[6]]=>16 [3,7,5,2,8,4,6,1]=>[7,3,5,2,8,4,6,1]=>[1,6,4,8,2,5,3,7]=>[[1,2,4,8],[3,6],[5,7]]=>16 [7,4,2,6,8,5,3,1]=>[7,2,4,6,8,5,3,1]=>[1,3,5,8,6,4,2,7]=>[[1,2,3,4,8],[5],[6],[7]]=>19 [8,5,2,4,6,3,1,7]=>[5,2,4,6,3,1,8,7]=>[7,8,1,3,6,4,2,5]=>[[1,2,5,8],[3,4],[6],[7]]=>17 [7,3,4,1,6,8,5,2]=>[3,7,1,4,6,8,5,2]=>[2,5,8,6,4,1,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [8,6,2,5,7,3,4,1]=>[6,5,2,3,8,7,4,1]=>[1,4,7,8,3,2,5,6]=>[[1,2,3,4],[5,7,8],[6]]=>21 [7,2,6,8,3,4,5,1]=>[2,7,6,3,4,8,5,1]=>[1,5,8,4,3,6,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>18 [1,6,7,5,4,8,2,3]=>[6,7,5,4,1,8,2,3]=>[3,2,8,1,4,5,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>15 [3,5,8,4,2,7,6,1]=>[8,3,5,4,7,2,6,1]=>[1,6,2,7,4,5,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>16 [7,4,6,2,5,3,8,1]=>[4,7,2,6,5,3,8,1]=>[1,8,3,5,6,2,7,4]=>[[1,2,4,5,7],[3,8],[6]]=>18 [7,4,3,8,6,5,1,2]=>[4,7,8,3,1,6,5,2]=>[2,5,6,1,3,8,7,4]=>[[1,2,3,6],[4,5,7],[8]]=>20 [1,8,5,4,2,6,3,7]=>[1,8,2,5,4,6,3,7]=>[7,3,6,4,5,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>12 [5,4,2,6,8,3,1,7]=>[2,5,8,4,6,3,1,7]=>[7,1,3,6,4,8,5,2]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [3,5,6,7,4,8,1,2]=>[5,6,7,3,4,1,8,2]=>[2,8,1,4,3,7,6,5]=>[[1,2,6],[3,4,7],[5],[8]]=>15 [8,1,3,6,4,7,5,2]=>[1,3,8,6,7,4,5,2]=>[2,5,4,7,6,8,3,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [4,7,2,5,6,1,3,8]=>[7,4,2,5,1,6,3,8]=>[8,3,6,1,5,2,4,7]=>[[1,3,7,8],[2,5],[4],[6]]=>13 [8,3,5,4,1,2,6,7]=>[5,3,1,4,2,6,8,7]=>[7,8,6,2,4,1,3,5]=>[[1,2,8],[3,5],[4,7],[6]]=>14 [7,1,3,5,4,2,6,8]=>[5,3,4,1,2,7,6,8]=>[8,6,7,2,1,4,3,5]=>[[1,3,8],[2,6],[4,7],[5]]=>10 [4,1,5,7,3,6,8,2]=>[7,4,5,1,3,6,8,2]=>[2,8,6,3,1,5,4,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11 [1,4,5,7,6,8,2,3]=>[7,4,5,6,1,8,2,3]=>[3,2,8,1,6,5,4,7]=>[[1,3,8],[2,5],[4,6],[7]]=>11 [5,7,2,1,6,8,4,3]=>[2,7,1,5,6,8,4,3]=>[3,4,8,6,5,1,7,2]=>[[1,2,3,7],[4,8],[5],[6]]=>15 [2,6,3,1,7,8,5,4]=>[2,3,6,7,8,5,1,4]=>[4,1,5,8,7,6,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>11 [1,3,2,4,5,6,7,8,10,9]=>[3,10,1,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,1,10,3]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>2 [3,7,1,2,6,4,5,8]=>[3,1,7,2,6,4,5,8]=>[8,5,4,6,2,7,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>9 [4,1,7,6,3,5,8,2]=>[7,6,4,1,3,5,8,2]=>[2,8,5,3,1,4,6,7]=>[[1,2,6,7,8],[3],[4],[5]]=>13 [7,5,6,2,1,4,3,8]=>[2,1,5,7,6,4,3,8]=>[8,3,4,6,7,5,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>16 [6,5,1,4,7,2,8,3]=>[6,5,1,4,2,7,8,3]=>[3,8,7,2,4,1,5,6]=>[[1,2,7,8],[3,5],[4],[6]]=>14 [4,3,5,7,8,2,6,1]=>[4,7,8,3,5,2,6,1]=>[1,6,2,5,3,8,7,4]=>[[1,2,4,6],[3,7],[5,8]]=>15 [7,1,6,2,5,8,4,3]=>[7,6,1,5,8,2,4,3]=>[3,4,2,8,5,1,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>15 [8,5,1,3,4,6,2,7]=>[1,5,3,4,6,2,8,7]=>[7,8,2,6,4,3,5,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>14 [7,2,5,4,1,3,6,8]=>[5,4,2,1,3,7,6,8]=>[8,6,7,3,1,2,4,5]=>[[1,3,7,8],[2,6],[4],[5]]=>12 [3,8,1,4,6,2,7,5]=>[6,1,3,4,8,7,2,5]=>[5,2,7,8,4,3,1,6]=>[[1,3,4],[2,5,8],[6],[7]]=>12 [5,3,2,7,6,4,1,8]=>[3,7,2,5,6,4,1,8]=>[8,1,4,6,5,2,7,3]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [5,3,7,4,1,8,6,2]=>[5,3,1,7,8,4,6,2]=>[2,6,4,8,7,1,3,5]=>[[1,2,4],[3,5,8],[6,7]]=>15 [7,3,5,4,1,6,8,2]=>[5,3,1,4,7,6,8,2]=>[2,8,6,7,4,1,3,5]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [5,3,1,7,6,8,2,4]=>[7,1,3,5,6,2,8,4]=>[4,8,2,6,5,3,1,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>13 [1,3,6,2,5,4,7,8]=>[3,6,5,1,2,4,7,8]=>[8,7,4,2,1,5,6,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>5 [6,2,5,7,3,4,1,8]=>[6,5,2,3,7,4,1,8]=>[8,1,4,7,3,2,5,6]=>[[1,3,4,8],[2,7],[5],[6]]=>14 [8,6,2,3,7,4,5,1]=>[6,2,3,4,8,7,5,1]=>[1,5,7,8,4,3,2,6]=>[[1,2,3,4],[5,8],[6],[7]]=>19 [6,7,1,5,3,2,8,4]=>[6,3,1,2,7,5,8,4]=>[4,8,5,7,2,1,3,6]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [8,4,2,5,3,6,1,7]=>[2,4,5,3,6,1,8,7]=>[7,8,1,6,3,5,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>15 [4,8,6,1,5,2,3,7]=>[4,1,8,2,6,5,3,7]=>[7,3,5,6,2,8,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>15 [7,4,1,8,2,6,5,3]=>[4,7,8,1,2,6,5,3]=>[3,5,6,2,1,8,7,4]=>[[1,2,3,6],[4,7],[5,8]]=>16 [7,1,8,3,5,2,6,4]=>[7,3,1,2,8,5,6,4]=>[4,6,5,8,2,1,3,7]=>[[1,2,4],[3,7,8],[5],[6]]=>15 [7,1,2,8,4,3,5,6]=>[7,1,4,2,3,5,8,6]=>[6,8,5,3,2,4,1,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>11 [5,6,2,1,4,7,3,8]=>[2,1,5,6,4,7,3,8]=>[8,3,7,4,6,5,1,2]=>[[1,3,5],[2,8],[4],[6],[7]]=>11 [3,6,2,5,4,8,7,1]=>[3,6,5,8,2,4,7,1]=>[1,7,4,2,8,5,6,3]=>[[1,2,5,7],[3,6],[4,8]]=>13 [7,3,6,2,1,4,8,5]=>[3,2,1,7,4,6,8,5]=>[5,8,6,4,7,1,2,3]=>[[1,2,5],[3,7,8],[4],[6]]=>14 [7,3,1,4,2,8,5,6]=>[1,3,4,7,2,5,8,6]=>[6,8,5,2,7,4,3,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>11 [5,1,3,4,8,6,2,7]=>[5,1,8,3,4,6,2,7]=>[7,2,6,4,3,8,1,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>10 [7,1,5,2,4,3,6,8]=>[5,1,4,2,3,7,6,8]=>[8,6,7,3,2,4,1,5]=>[[1,3,8],[2,6],[4],[5],[7]]=>10 [7,8,6,1,5,2,4,3]=>[1,7,8,2,6,5,4,3]=>[3,4,5,6,2,8,7,1]=>[[1,2,3,4,6],[5,7],[8]]=>21 [8,5,7,4,1,3,2,6]=>[8,1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1,8]=>[[1,2,5,6,8],[3,4],[7]]=>20 [3,6,8,7,2,4,1,5]=>[8,6,3,2,7,4,1,5]=>[5,1,4,7,2,3,6,8]=>[[1,3,4,7,8],[2,6],[5]]=>17 [6,3,4,5,1,7,2,8]=>[3,4,1,6,5,7,2,8]=>[8,2,7,5,6,1,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>12 [3,4,6,2,1,5,7,8]=>[6,3,4,2,1,5,7,8]=>[8,7,5,1,2,4,3,6]=>[[1,5,6,8],[2],[3],[4],[7]]=>8 [2,1,5,4,7,8,3,6]=>[5,7,8,2,4,1,3,6]=>[6,3,1,4,2,8,7,5]=>[[1,4,6],[2,5,7],[3,8]]=>8 [9,10,7,6,5,4,3,2,1,8]=>[9,7,6,5,4,3,2,1,10,8]=>[8,10,1,2,3,4,5,6,7,9]=>[[1,2,5,6,7,8,9,10],[3,4]]=>37 [6,3,8,2,5,7,1,4]=>[6,8,3,2,5,1,7,4]=>[4,7,1,5,2,3,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>17 [1,5,4,8,3,6,7,2]=>[8,5,4,3,6,7,1,2]=>[2,1,7,6,3,4,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>12 [4,8,6,5,2,3,7,1]=>[8,4,2,6,5,3,7,1]=>[1,7,3,5,6,2,4,8]=>[[1,2,4,5,8],[3,7],[6]]=>19 [1,8,3,6,2,4,7,5]=>[3,1,2,8,6,7,4,5]=>[5,4,7,6,8,2,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>11 [1,8,7,5,6,4,2,3]=>[5,1,8,7,6,4,2,3]=>[3,2,4,6,7,8,1,5]=>[[1,3,4,5,6],[2,8],[7]]=>19 [1,3,6,5,8,7,2,4]=>[6,8,5,7,3,1,2,4]=>[4,2,1,3,7,5,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>11 [1,4,8,7,6,2,3,5]=>[1,8,7,6,4,2,3,5]=>[5,3,2,4,6,7,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>14 [1,4,5,2,7,6,3,8]=>[4,7,1,5,6,2,3,8]=>[8,3,2,6,5,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>7 [1,4,7,6,2,5,3,8]=>[4,7,6,1,5,2,3,8]=>[8,3,2,5,1,6,7,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10 [1,3,7,2,6,5,4,8]=>[7,3,6,5,1,2,4,8]=>[8,4,2,1,5,6,3,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8 [7,5,1,8,3,2,4,6]=>[5,3,1,2,7,4,8,6]=>[6,8,4,7,2,1,3,5]=>[[1,2,8],[3,4],[5,7],[6]]=>15 [2,4,7,5,3,8,1,6]=>[4,7,5,8,2,3,1,6]=>[6,1,3,2,8,5,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>12 [7,5,2,1,4,8,3,6]=>[2,5,1,4,7,3,8,6]=>[6,8,3,7,4,1,5,2]=>[[1,2,7],[3,4],[5,8],[6]]=>14 [8,5,1,2,6,7,4,3]=>[1,2,8,5,6,7,4,3]=>[3,4,7,6,5,8,2,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>16 [6,3,2,1,5,8,4,7]=>[3,2,6,8,1,5,4,7]=>[7,4,5,1,8,6,2,3]=>[[1,3,5],[2,6,8],[4,7]]=>11 [3,4,6,7,5,1,8,2]=>[6,7,3,4,1,5,8,2]=>[2,8,5,1,4,3,7,6]=>[[1,2,7],[3,5,8],[4],[6]]=>13 [7,4,1,2,5,6,8,3]=>[1,2,4,5,7,6,8,3]=>[3,8,6,7,5,4,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>12 [4,8,2,6,7,1,5,3]=>[4,8,6,2,7,1,5,3]=>[3,5,1,7,2,6,8,4]=>[[1,2,4,7],[3,5,6],[8]]=>17 [6,5,8,3,7,1,4,2]=>[6,5,3,8,1,7,4,2]=>[2,4,7,1,8,3,5,6]=>[[1,2,3,5],[4,6,7,8]]=>20 [5,6,7,1,2,4,3,8]=>[1,5,2,6,7,4,3,8]=>[8,3,4,7,6,2,5,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [4,8,6,5,3,7,1,2]=>[8,4,6,5,3,1,7,2]=>[2,7,1,3,5,6,4,8]=>[[1,2,5,6,8],[3,4],[7]]=>20 [3,2,4,7,1,5,8,6]=>[7,3,2,4,8,1,5,6]=>[6,5,1,8,4,2,3,7]=>[[1,4,7,8],[2,5],[3],[6]]=>8 [4,7,5,8,6,2,3,1]=>[4,7,8,5,2,6,3,1]=>[1,3,6,2,5,8,7,4]=>[[1,2,3,6],[4,5,7],[8]]=>20 [3,2,6,8,7,5,1,4]=>[8,6,7,3,5,2,1,4]=>[4,1,2,5,3,7,6,8]=>[[1,3,4,6,8],[2,5,7]]=>15 [7,2,4,5,8,1,6,3]=>[2,4,7,5,8,1,6,3]=>[3,6,1,8,5,7,4,2]=>[[1,2,4],[3,5,6],[7],[8]]=>15 [3,6,8,5,2,4,1,7]=>[8,6,5,3,2,4,1,7]=>[7,1,4,2,3,5,6,8]=>[[1,3,5,6,7,8],[2],[4]]=>16 [2,8,6,7,1,4,5,3]=>[2,6,4,8,7,5,1,3]=>[3,1,5,7,8,4,6,2]=>[[1,3,4,5],[2,6,7],[8]]=>17 [4,8,2,5,7,6,1,3]=>[4,8,7,2,5,1,6,3]=>[3,6,1,5,2,7,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>17 [4,2,5,6,3,7,1,8]=>[2,4,5,6,3,7,1,8]=>[8,1,7,3,6,5,4,2]=>[[1,3,5],[2],[4],[6],[7],[8]]=>10 [4,7,3,1,6,5,2,8]=>[1,4,7,6,3,5,2,8]=>[8,2,5,3,6,7,4,1]=>[[1,3,5,6],[2,7],[4],[8]]=>13 [1,2,3,4,6,5,7,9,8]=>[6,9,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,9,6]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>2 [1,2,3,5,4,6,7,9,8]=>[5,9,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,9,5]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>2 [1,2,4,3,5,6,7,9,8]=>[4,9,1,2,3,5,6,7,8]=>[8,7,6,5,3,2,1,9,4]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>2 [1,5,2,4,6,7,3,8]=>[5,1,4,6,7,2,3,8]=>[8,3,2,7,6,4,1,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>6 [1,6,2,8,5,7,4,3]=>[8,6,5,7,1,4,2,3]=>[3,2,4,1,7,5,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>13 [1,8,4,7,2,5,6,3]=>[8,4,1,5,7,6,2,3]=>[3,2,6,7,5,1,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>14 [5,4,8,3,6,7,2,1]=>[8,5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5,8]=>[[1,2,3,6,7,8],[4],[5]]=>19 [5,8,4,6,3,7,2,1]=>[5,4,8,6,3,7,2,1]=>[1,2,7,3,6,8,4,5]=>[[1,2,3,5,6],[4,8],[7]]=>21 [8,5,2,6,3,1,4,7]=>[5,2,3,1,6,4,8,7]=>[7,8,4,6,1,3,2,5]=>[[1,2,8],[3,4],[5,6],[7]]=>16 [7,6,8,5,1,2,4,3]=>[1,2,7,6,8,5,4,3]=>[3,4,5,8,6,7,2,1]=>[[1,2,3,4,6],[5],[7],[8]]=>21 [10,9,8,7,5,3,1,6,4,2]=>[1,3,5,10,9,8,7,6,4,2]=>[2,4,6,7,8,9,10,5,3,1]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>39 [10,9,8,7,6,5,3,1,4,2]=>[1,3,10,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,10,3,1]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>42 [7,2,5,1,8,4,6,3]=>[2,7,8,1,5,4,6,3]=>[3,6,4,5,1,8,7,2]=>[[1,2,4,6],[3,7],[5,8]]=>15 [2,8,5,3,6,4,1,7]=>[2,3,8,5,6,4,1,7]=>[7,1,4,6,5,8,3,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>14 [8,6,5,3,7,1,4,2]=>[3,1,6,5,8,7,4,2]=>[2,4,7,8,5,6,1,3]=>[[1,2,3,4],[5,6],[7,8]]=>22 [6,1,8,4,2,3,7,5]=>[1,6,4,8,2,3,7,5]=>[5,7,3,2,8,4,6,1]=>[[1,2,5],[3,6,7],[4],[8]]=>13 [1,7,4,2,3,8,6,5]=>[1,2,7,8,4,6,3,5]=>[5,3,6,4,8,7,2,1]=>[[1,3,5],[2,4,6],[7],[8]]=>10 [2,8,4,3,7,1,6,5]=>[8,4,2,3,7,6,1,5]=>[5,1,6,7,3,2,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>14 [1,5,2,4,7,6,8,3]=>[5,7,1,4,6,8,2,3]=>[3,2,8,6,4,1,7,5]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [1,5,4,3,8,2,7,6]=>[5,8,4,3,7,1,2,6]=>[6,2,1,7,3,4,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>10 [4,5,7,1,6,3,2,8]=>[4,7,1,5,6,3,2,8]=>[8,2,3,6,5,1,7,4]=>[[1,3,4,7],[2,8],[5],[6]]=>13 [4,7,8,3,6,2,1,5]=>[7,4,8,6,3,2,1,5]=>[5,1,2,3,6,8,4,7]=>[[1,3,4,5,6],[2,7,8]]=>19 [4,8,6,2,7,5,1,3]=>[4,6,8,7,2,1,5,3]=>[3,5,1,2,7,8,6,4]=>[[1,2,5,6],[3,4,7],[8]]=>19 [1,7,5,3,2,6,8,4]=>[5,1,3,7,6,8,2,4]=>[4,2,8,6,7,3,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>11 [7,5,1,6,2,3,4,8]=>[1,5,2,3,7,6,4,8]=>[8,4,6,7,3,2,5,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [6,1,7,2,4,5,8,3]=>[6,1,2,7,4,5,8,3]=>[3,8,5,4,7,2,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>12 [7,6,2,8,3,4,5,1]=>[2,7,3,6,4,8,5,1]=>[1,5,8,4,6,3,7,2]=>[[1,2,3,7],[4,5],[6],[8]]=>19 [2,5,4,7,1,8,3,6]=>[5,7,4,8,2,1,3,6]=>[6,3,1,2,8,4,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>11 [6,2,7,4,3,8,5,1]=>[6,4,2,3,7,8,5,1]=>[1,5,8,7,3,2,4,6]=>[[1,2,3,8],[4,7],[5],[6]]=>16 [4,2,5,6,3,1,7,8]=>[2,4,5,6,3,1,7,8]=>[8,7,1,3,6,5,4,2]=>[[1,4,5],[2],[3],[6],[7],[8]]=>9 [8,1,2,4,6,3,5,7]=>[6,4,1,2,3,5,8,7]=>[7,8,5,3,2,1,4,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>10 [4,2,5,6,3,7,8,1]=>[2,4,5,6,3,7,8,1]=>[1,8,7,3,6,5,4,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>11 [4,3,6,7,8,9,5,2,1]=>[4,6,7,8,9,3,5,2,1]=>[1,2,5,3,9,8,7,6,4]=>[[1,2,3,5],[4,6],[7],[8],[9]]=>20 [3,7,8,4,5,6,1,2]=>[3,7,4,8,5,1,6,2]=>[2,6,1,5,8,4,7,3]=>[[1,2,5],[3,4,7],[6],[8]]=>18 [5,6,3,8,1,7,4,2]=>[5,3,8,1,6,7,4,2]=>[2,4,7,6,1,8,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>17 [4,5,2,1,8,3,6,7]=>[4,5,2,1,8,3,6,7]=>[7,6,3,8,1,2,5,4]=>[[1,4,7],[2,6],[3,8],[5]]=>10 [8,5,2,1,7,3,6,4]=>[2,5,8,1,3,7,6,4]=>[4,6,7,3,1,8,5,2]=>[[1,2,3,6],[4,7],[5,8]]=>16 [5,4,3,6,1,8,2,7]=>[5,4,3,6,1,8,2,7]=>[7,2,8,1,6,3,4,5]=>[[1,3,7,8],[2,5],[4,6]]=>13 [3,5,4,1,7,2,8,6]=>[5,3,4,1,7,8,2,6]=>[6,2,8,7,1,4,3,5]=>[[1,3,8],[2,4],[5,6],[7]]=>10 [2,6,5,3,7,1,8,4]=>[2,6,5,7,3,8,1,4]=>[4,1,8,3,7,5,6,2]=>[[1,3,5,7],[2,4],[6],[8]]=>12 [8,2,5,4,1,7,3,6]=>[5,4,8,2,1,3,7,6]=>[6,7,3,1,2,8,4,5]=>[[1,2,6,8],[3,5,7],[4]]=>15 [8,1,7,6,4,2,3,5]=>[1,8,2,7,4,3,6,5]=>[5,6,3,4,7,2,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>18 [6,1,7,2,5,8,4,3]=>[6,7,1,5,8,2,4,3]=>[3,4,2,8,5,1,7,6]=>[[1,2,4,7],[3,5],[6,8]]=>14 [8,2,7,5,3,1,4,6]=>[2,8,3,1,5,4,7,6]=>[6,7,4,5,1,3,8,2]=>[[1,2,7],[3,4],[5,6],[8]]=>17 [3,4,2,8,5,7,1,6]=>[3,8,4,7,2,5,1,6]=>[6,1,5,2,7,4,8,3]=>[[1,3,5,7],[2,6],[4],[8]]=>12 [1,5,3,6,4,2,8,7]=>[3,5,6,4,8,1,2,7]=>[7,2,1,8,4,6,5,3]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [4,1,6,2,5,8,7,3]=>[4,6,8,1,2,5,7,3]=>[3,7,5,2,1,8,6,4]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [1,8,6,3,7,4,5,2]=>[6,3,4,8,7,5,1,2]=>[2,1,5,7,8,4,3,6]=>[[1,3,4,5],[2,6,8],[7]]=>16 [8,4,6,1,5,2,7,3]=>[4,1,6,2,5,8,7,3]=>[3,7,8,5,2,6,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>17 [3,8,6,5,4,7,1,2]=>[8,6,3,5,4,1,7,2]=>[2,7,1,4,5,3,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>19 [2,4,1,5,6,8,7,3]=>[4,8,2,5,6,7,1,3]=>[3,1,7,6,5,2,8,4]=>[[1,3,7],[2,4,8],[5],[6]]=>8 [4,5,7,1,6,2,8,3]=>[4,5,1,7,2,6,8,3]=>[3,8,6,2,7,1,5,4]=>[[1,2,5],[3,7],[4,8],[6]]=>13 [5,7,3,4,2,8,6,1]=>[3,7,5,4,8,2,6,1]=>[1,6,2,8,4,5,7,3]=>[[1,2,4,6,7],[3,5],[8]]=>17 [5,8,3,4,2,7,6,1]=>[3,5,4,8,7,2,6,1]=>[1,6,2,7,8,4,5,3]=>[[1,2,4,5],[3,6,7],[8]]=>18 [7,6,4,2,3,8,5,1]=>[2,4,3,7,6,8,5,1]=>[1,5,8,6,7,3,4,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19 [4,8,7,3,2,5,6,1]=>[4,3,2,8,7,5,6,1]=>[1,6,5,7,8,2,3,4]=>[[1,2,4,5],[3,7,8],[6]]=>19 [3,7,4,2,6,8,5,1]=>[3,4,7,6,8,2,5,1]=>[1,5,2,8,6,7,4,3]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [5,2,3,8,6,1,4,7]=>[5,8,2,3,1,6,4,7]=>[7,4,6,1,3,2,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>12 [4,5,8,7,2,3,6,1]=>[8,7,4,2,5,3,6,1]=>[1,6,3,5,2,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>18 [7,8,6,1,4,2,5,3]=>[1,7,2,4,8,6,5,3]=>[3,5,6,8,4,2,7,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20 [7,2,5,1,6,8,4,3]=>[2,5,7,6,8,1,4,3]=>[3,4,1,8,6,7,5,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15 [5,1,8,7,2,4,3,6]=>[1,5,8,2,7,4,3,6]=>[6,3,4,7,2,8,5,1]=>[[1,3,4,6],[2,7],[5],[8]]=>14 [3,6,8,1,5,2,7,4]=>[3,1,8,6,5,7,2,4]=>[4,2,7,5,6,8,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>14 [5,1,3,6,4,2,7,8]=>[1,5,6,3,4,2,7,8]=>[8,7,2,4,3,6,5,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>8 [6,1,2,4,7,5,3,8]=>[1,6,7,2,4,5,3,8]=>[8,3,5,4,2,7,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>9 [3,8,5,1,4,6,2,7]=>[3,5,1,4,8,6,2,7]=>[7,2,6,8,4,1,5,3]=>[[1,3,4],[2,7],[5,8],[6]]=>13 [6,2,8,5,7,4,1,3]=>[8,6,5,7,2,1,4,3]=>[3,4,1,2,7,5,6,8]=>[[1,2,5,7,8],[3,4,6]]=>19 [2,7,8,5,6,4,3,1]=>[7,5,8,6,4,2,3,1]=>[1,3,2,4,6,8,5,7]=>[[1,2,4,5,6],[3,7,8]]=>20 [8,4,6,7,1,3,5,2]=>[1,4,8,6,3,7,5,2]=>[2,5,7,3,6,8,4,1]=>[[1,2,3,6],[4,5],[7],[8]]=>20 [3,1,5,8,7,4,2,6]=>[8,7,5,1,3,4,2,6]=>[6,2,4,3,1,5,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>12 [3,1,8,4,5,7,2,6]=>[3,8,7,1,4,5,2,6]=>[6,2,5,4,1,7,8,3]=>[[1,3,6,7],[2,8],[4],[5]]=>11 [3,7,8,4,6,5,2,1]=>[3,7,8,6,4,5,2,1]=>[1,2,5,4,6,8,7,3]=>[[1,2,3,5,6],[4,7],[8]]=>20 [5,2,8,6,7,4,1,3]=>[5,8,6,7,2,1,4,3]=>[3,4,1,2,7,6,8,5]=>[[1,2,5,7],[3,4,6],[8]]=>18 [1,7,2,6,5,4,8,3]=>[7,6,5,1,4,8,2,3]=>[3,2,8,4,1,5,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>12 [5,4,8,3,7,6,2,1]=>[8,5,4,7,3,6,2,1]=>[1,2,6,3,7,4,5,8]=>[[1,2,3,5,7,8],[4,6]]=>20 [6,3,1,7,2,4,8,5]=>[3,1,6,2,4,7,8,5]=>[5,8,7,4,2,6,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>11 [8,1,5,2,3,6,4,7]=>[1,2,5,6,3,4,8,7]=>[7,8,4,3,6,5,2,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>11 [8,5,2,1,3,6,4,7]=>[2,1,3,5,6,4,8,7]=>[7,8,4,6,5,3,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>13 [4,7,2,1,3,8,5,6]=>[2,1,4,7,3,8,5,6]=>[6,5,8,3,7,4,1,2]=>[[1,3],[2,5],[4,6],[7,8]]=>11 [4,5,2,8,1,3,6,7]=>[8,4,2,1,5,3,6,7]=>[7,6,3,5,1,2,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>11 [8,4,2,5,6,1,3,7]=>[2,4,5,1,6,3,8,7]=>[7,8,3,6,1,5,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>15 [4,5,8,3,1,2,6,7]=>[4,1,8,5,3,2,6,7]=>[7,6,2,3,5,8,1,4]=>[[1,4,5,6],[2,8],[3],[7]]=>13 [8,2,6,5,1,7,4,3]=>[2,6,5,8,7,1,4,3]=>[3,4,1,7,8,5,6,2]=>[[1,2,4,5],[3,6,7],[8]]=>18 [7,6,3,2,5,8,4,1]=>[3,7,2,6,5,8,4,1]=>[1,4,8,5,6,2,7,3]=>[[1,2,3,5,7],[4,8],[6]]=>19 [6,1,3,2,8,7,5,4]=>[8,3,6,7,1,2,5,4]=>[4,5,2,1,7,6,3,8]=>[[1,2,5,8],[3,6],[4,7]]=>12 [7,2,1,3,8,4,6,5]=>[7,2,8,1,3,4,6,5]=>[5,6,4,3,1,8,2,7]=>[[1,2,6],[3,7,8],[4],[5]]=>11 [2,6,5,4,8,7,1,3]=>[6,5,8,4,7,2,1,3]=>[3,1,2,7,4,8,5,6]=>[[1,3,4,6,8],[2,5,7]]=>15 [5,6,7,1,3,2,4,8]=>[1,5,6,3,2,7,4,8]=>[8,4,7,2,3,6,5,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>13 [8,1,5,4,2,6,7,3]=>[1,5,2,4,8,6,7,3]=>[3,7,6,8,4,2,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>14 [6,5,3,7,2,8,1,4]=>[3,6,5,2,7,1,8,4]=>[4,8,1,7,2,5,6,3]=>[[1,2,6,7],[3,4],[5],[8]]=>17 [8,3,5,7,4,6,2,1]=>[8,5,3,4,7,6,2,1]=>[1,2,6,7,4,3,5,8]=>[[1,2,3,4,8],[5,7],[6]]=>21 [6,2,8,7,3,5,1,4]=>[6,8,2,7,3,1,5,4]=>[4,5,1,3,7,2,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>18 [4,6,8,7,3,5,2,1]=>[8,6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>21 [3,8,2,5,7,6,4,1]=>[8,3,5,7,6,2,4,1]=>[1,4,2,6,7,5,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>17 [3,2,7,8,4,5,6,1]=>[7,3,2,8,4,5,6,1]=>[1,6,5,4,8,2,3,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14 [2,8,3,4,5,7,1,6]=>[8,2,3,4,7,5,1,6]=>[6,1,5,7,4,3,2,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>12 [1,7,6,8,2,5,4,3]=>[7,1,6,8,5,4,2,3]=>[3,2,4,5,8,6,1,7]=>[[1,3,4,5,8],[2,6],[7]]=>16 [7,2,5,6,4,8,3,1]=>[5,7,6,2,4,8,3,1]=>[1,3,8,4,2,6,7,5]=>[[1,2,3,6,7],[4,8],[5]]=>18 [7,4,6,2,8,5,3,1]=>[4,7,2,6,8,5,3,1]=>[1,3,5,8,6,2,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>20 [5,3,4,7,6,8,2,1]=>[3,5,7,4,6,8,2,1]=>[1,2,8,6,4,7,5,3]=>[[1,2,3,6],[4,7],[5],[8]]=>16 [7,8,4,6,5,1,2,3]=>[4,1,7,2,8,6,5,3]=>[3,5,6,8,2,7,1,4]=>[[1,2,3,4],[5,6],[7,8]]=>22 [1,5,3,4,7,2,8,6]=>[3,5,7,4,8,1,2,6]=>[6,2,1,8,4,7,5,3]=>[[1,4,6],[2,5],[3,7],[8]]=>8 [6,1,5,4,7,8,2,3]=>[6,5,4,7,1,2,8,3]=>[3,8,2,1,7,4,5,6]=>[[1,2,7,8],[3,5],[4,6]]=>14 [6,7,1,5,2,3,4,8]=>[1,6,2,3,7,5,4,8]=>[8,4,5,7,3,2,6,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>13 [7,4,2,3,1,6,5,8]=>[2,4,3,7,1,6,5,8]=>[8,5,6,1,7,3,4,2]=>[[1,3,5],[2,6,7],[4],[8]]=>12 [8,6,4,2,1,3,5,7,10,9]=>[2,1,4,3,6,5,8,10,7,9]=>[9,7,10,8,5,6,3,4,1,2]=>[[1,3],[2,4],[5,6],[7,8],[9,10]]=>17 [4,1,5,6,2,8,7,3]=>[4,5,8,1,2,6,7,3]=>[3,7,6,2,1,8,5,4]=>[[1,2,6],[3,7],[4,8],[5]]=>10 [3,4,7,8,1,5,2,6]=>[7,3,1,8,4,5,2,6]=>[6,2,5,4,8,1,3,7]=>[[1,3,5],[2,7,8],[4],[6]]=>13 [1,3,2,4,5,6,7,10,8,9]=>[10,3,1,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,1,3,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>3 [1,8,7,6,5,4,9,2,3]=>[8,7,6,5,4,1,9,2,3]=>[3,2,9,1,4,5,6,7,8]=>[[1,3,6,7,8,9],[2,5],[4]]=>22 [7,2,4,8,3,5,1,6]=>[7,4,2,3,5,1,8,6]=>[6,8,1,5,3,2,4,7]=>[[1,2,7,8],[3,4],[5],[6]]=>15 [5,6,1,4,3,8,7,2]=>[5,6,1,4,8,3,7,2]=>[2,7,3,8,4,1,6,5]=>[[1,2,4,7],[3,5],[6,8]]=>14 [4,1,3,7,8,6,5,2]=>[7,8,4,6,1,3,5,2]=>[2,5,3,1,6,4,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>13 [4,6,5,1,8,7,3,2]=>[4,6,8,1,5,7,3,2]=>[2,3,7,5,1,8,6,4]=>[[1,2,3,6],[4,7],[5,8]]=>16