Identifier
Mp00067:
Permutations
—Foata bijection⟶
Permutations
Mp00059: Permutations —Robinson-Schensted insertion tableau⟶ Standard tableaux
Mp00295: Standard tableaux —valley composition⟶ Integer compositions
Mp00059: Permutations —Robinson-Schensted insertion tableau⟶ Standard tableaux
Mp00295: Standard tableaux —valley composition⟶ Integer compositions
Images
=>
Cc0007;cc-rep-2
[1]=>[1]=>[[1]]=>[1]
[1,2]=>[1,2]=>[[1,2]]=>[2]
[2,1]=>[2,1]=>[[1],[2]]=>[2]
[1,2,3]=>[1,2,3]=>[[1,2,3]]=>[3]
[1,3,2]=>[3,1,2]=>[[1,2],[3]]=>[3]
[2,1,3]=>[2,1,3]=>[[1,3],[2]]=>[2,1]
[2,3,1]=>[2,3,1]=>[[1,3],[2]]=>[2,1]
[3,1,2]=>[1,3,2]=>[[1,2],[3]]=>[3]
[3,2,1]=>[3,2,1]=>[[1],[2],[3]]=>[3]
[1,2,3,4]=>[1,2,3,4]=>[[1,2,3,4]]=>[4]
[1,2,4,3]=>[4,1,2,3]=>[[1,2,3],[4]]=>[4]
[1,3,2,4]=>[3,1,2,4]=>[[1,2,4],[3]]=>[3,1]
[1,3,4,2]=>[3,1,4,2]=>[[1,2],[3,4]]=>[3,1]
[1,4,2,3]=>[1,4,2,3]=>[[1,2,3],[4]]=>[4]
[1,4,3,2]=>[4,3,1,2]=>[[1,2],[3],[4]]=>[4]
[2,1,3,4]=>[2,1,3,4]=>[[1,3,4],[2]]=>[2,2]
[2,1,4,3]=>[4,2,1,3]=>[[1,3],[2],[4]]=>[2,2]
[2,3,1,4]=>[2,3,1,4]=>[[1,3,4],[2]]=>[2,2]
[2,3,4,1]=>[2,3,4,1]=>[[1,3,4],[2]]=>[2,2]
[2,4,1,3]=>[2,1,4,3]=>[[1,3],[2,4]]=>[2,2]
[2,4,3,1]=>[4,2,3,1]=>[[1,3],[2],[4]]=>[2,2]
[3,1,2,4]=>[1,3,2,4]=>[[1,2,4],[3]]=>[3,1]
[3,1,4,2]=>[3,4,1,2]=>[[1,2],[3,4]]=>[3,1]
[3,2,1,4]=>[3,2,1,4]=>[[1,4],[2],[3]]=>[3,1]
[3,2,4,1]=>[3,2,4,1]=>[[1,4],[2],[3]]=>[3,1]
[3,4,1,2]=>[1,3,4,2]=>[[1,2,4],[3]]=>[3,1]
[3,4,2,1]=>[3,4,2,1]=>[[1,4],[2],[3]]=>[3,1]
[4,1,2,3]=>[1,2,4,3]=>[[1,2,3],[4]]=>[4]
[4,1,3,2]=>[4,1,3,2]=>[[1,2],[3],[4]]=>[4]
[4,2,1,3]=>[2,4,1,3]=>[[1,3],[2,4]]=>[2,2]
[4,2,3,1]=>[2,4,3,1]=>[[1,3],[2],[4]]=>[2,2]
[4,3,1,2]=>[1,4,3,2]=>[[1,2],[3],[4]]=>[4]
[4,3,2,1]=>[4,3,2,1]=>[[1],[2],[3],[4]]=>[4]
[1,2,3,4,5]=>[1,2,3,4,5]=>[[1,2,3,4,5]]=>[5]
[1,2,3,5,4]=>[5,1,2,3,4]=>[[1,2,3,4],[5]]=>[5]
[1,2,4,3,5]=>[4,1,2,3,5]=>[[1,2,3,5],[4]]=>[4,1]
[1,2,4,5,3]=>[4,1,2,5,3]=>[[1,2,3],[4,5]]=>[4,1]
[1,2,5,3,4]=>[1,5,2,3,4]=>[[1,2,3,4],[5]]=>[5]
[1,2,5,4,3]=>[5,4,1,2,3]=>[[1,2,3],[4],[5]]=>[5]
[1,3,2,4,5]=>[3,1,2,4,5]=>[[1,2,4,5],[3]]=>[3,2]
[1,3,2,5,4]=>[5,3,1,2,4]=>[[1,2,4],[3],[5]]=>[3,2]
[1,3,4,2,5]=>[3,1,4,2,5]=>[[1,2,5],[3,4]]=>[3,2]
[1,3,4,5,2]=>[3,1,4,5,2]=>[[1,2,5],[3,4]]=>[3,2]
[1,3,5,2,4]=>[3,1,2,5,4]=>[[1,2,4],[3,5]]=>[3,2]
[1,3,5,4,2]=>[5,3,1,4,2]=>[[1,2],[3,4],[5]]=>[3,2]
[1,4,2,3,5]=>[1,4,2,3,5]=>[[1,2,3,5],[4]]=>[4,1]
[1,4,2,5,3]=>[4,5,1,2,3]=>[[1,2,3],[4,5]]=>[4,1]
[1,4,3,2,5]=>[4,3,1,2,5]=>[[1,2,5],[3],[4]]=>[4,1]
[1,4,3,5,2]=>[4,3,1,5,2]=>[[1,2],[3,5],[4]]=>[4,1]
[1,4,5,2,3]=>[1,4,2,5,3]=>[[1,2,3],[4,5]]=>[4,1]
[1,4,5,3,2]=>[4,5,1,3,2]=>[[1,2],[3,5],[4]]=>[4,1]
[1,5,2,3,4]=>[1,2,5,3,4]=>[[1,2,3,4],[5]]=>[5]
[1,5,2,4,3]=>[5,1,4,2,3]=>[[1,2,3],[4],[5]]=>[5]
[1,5,3,2,4]=>[3,5,1,2,4]=>[[1,2,4],[3,5]]=>[3,2]
[1,5,3,4,2]=>[5,1,3,4,2]=>[[1,2,4],[3],[5]]=>[3,2]
[1,5,4,2,3]=>[1,5,4,2,3]=>[[1,2,3],[4],[5]]=>[5]
[1,5,4,3,2]=>[5,4,3,1,2]=>[[1,2],[3],[4],[5]]=>[5]
[2,1,3,4,5]=>[2,1,3,4,5]=>[[1,3,4,5],[2]]=>[2,3]
[2,1,3,5,4]=>[5,2,1,3,4]=>[[1,3,4],[2],[5]]=>[2,3]
[2,1,4,3,5]=>[4,2,1,3,5]=>[[1,3,5],[2],[4]]=>[2,2,1]
[2,1,4,5,3]=>[4,2,1,5,3]=>[[1,3],[2,5],[4]]=>[2,2,1]
[2,1,5,3,4]=>[2,5,1,3,4]=>[[1,3,4],[2,5]]=>[2,3]
[2,1,5,4,3]=>[5,4,2,1,3]=>[[1,3],[2],[4],[5]]=>[2,3]
[2,3,1,4,5]=>[2,3,1,4,5]=>[[1,3,4,5],[2]]=>[2,3]
[2,3,1,5,4]=>[5,2,3,1,4]=>[[1,3,4],[2],[5]]=>[2,3]
[2,3,4,1,5]=>[2,3,4,1,5]=>[[1,3,4,5],[2]]=>[2,3]
[2,3,4,5,1]=>[2,3,4,5,1]=>[[1,3,4,5],[2]]=>[2,3]
[2,3,5,1,4]=>[2,3,1,5,4]=>[[1,3,4],[2,5]]=>[2,3]
[2,3,5,4,1]=>[5,2,3,4,1]=>[[1,3,4],[2],[5]]=>[2,3]
[2,4,1,3,5]=>[2,1,4,3,5]=>[[1,3,5],[2,4]]=>[2,2,1]
[2,4,1,5,3]=>[4,2,5,1,3]=>[[1,3],[2,5],[4]]=>[2,2,1]
[2,4,3,1,5]=>[4,2,3,1,5]=>[[1,3,5],[2],[4]]=>[2,2,1]
[2,4,3,5,1]=>[4,2,3,5,1]=>[[1,3,5],[2],[4]]=>[2,2,1]
[2,4,5,1,3]=>[2,1,4,5,3]=>[[1,3,5],[2,4]]=>[2,2,1]
[2,4,5,3,1]=>[4,2,5,3,1]=>[[1,3],[2,5],[4]]=>[2,2,1]
[2,5,1,3,4]=>[2,1,3,5,4]=>[[1,3,4],[2,5]]=>[2,3]
[2,5,1,4,3]=>[5,2,1,4,3]=>[[1,3],[2,4],[5]]=>[2,3]
[2,5,3,1,4]=>[2,5,3,1,4]=>[[1,3,4],[2],[5]]=>[2,3]
[2,5,3,4,1]=>[2,5,3,4,1]=>[[1,3,4],[2],[5]]=>[2,3]
[2,5,4,1,3]=>[2,5,1,4,3]=>[[1,3],[2,4],[5]]=>[2,3]
[2,5,4,3,1]=>[5,4,2,3,1]=>[[1,3],[2],[4],[5]]=>[2,3]
[3,1,2,4,5]=>[1,3,2,4,5]=>[[1,2,4,5],[3]]=>[3,2]
[3,1,2,5,4]=>[5,1,3,2,4]=>[[1,2,4],[3],[5]]=>[3,2]
[3,1,4,2,5]=>[3,4,1,2,5]=>[[1,2,5],[3,4]]=>[3,2]
[3,1,4,5,2]=>[3,4,1,5,2]=>[[1,2,5],[3,4]]=>[3,2]
[3,1,5,2,4]=>[3,1,5,2,4]=>[[1,2,4],[3,5]]=>[3,2]
[3,1,5,4,2]=>[5,3,4,1,2]=>[[1,2],[3,4],[5]]=>[3,2]
[3,2,1,4,5]=>[3,2,1,4,5]=>[[1,4,5],[2],[3]]=>[3,2]
[3,2,1,5,4]=>[5,3,2,1,4]=>[[1,4],[2],[3],[5]]=>[3,2]
[3,2,4,1,5]=>[3,2,4,1,5]=>[[1,4,5],[2],[3]]=>[3,2]
[3,2,4,5,1]=>[3,2,4,5,1]=>[[1,4,5],[2],[3]]=>[3,2]
[3,2,5,1,4]=>[3,2,1,5,4]=>[[1,4],[2,5],[3]]=>[3,2]
[3,2,5,4,1]=>[5,3,2,4,1]=>[[1,4],[2],[3],[5]]=>[3,2]
[3,4,1,2,5]=>[1,3,4,2,5]=>[[1,2,4,5],[3]]=>[3,2]
[3,4,1,5,2]=>[3,4,5,1,2]=>[[1,2,5],[3,4]]=>[3,2]
[3,4,2,1,5]=>[3,4,2,1,5]=>[[1,4,5],[2],[3]]=>[3,2]
[3,4,2,5,1]=>[3,4,2,5,1]=>[[1,4,5],[2],[3]]=>[3,2]
[3,4,5,1,2]=>[1,3,4,5,2]=>[[1,2,4,5],[3]]=>[3,2]
[3,4,5,2,1]=>[3,4,5,2,1]=>[[1,4,5],[2],[3]]=>[3,2]
[3,5,1,2,4]=>[1,3,2,5,4]=>[[1,2,4],[3,5]]=>[3,2]
[3,5,1,4,2]=>[3,5,1,4,2]=>[[1,2],[3,4],[5]]=>[3,2]
[3,5,2,1,4]=>[3,2,5,1,4]=>[[1,4],[2,5],[3]]=>[3,2]
[3,5,2,4,1]=>[3,2,5,4,1]=>[[1,4],[2,5],[3]]=>[3,2]
[3,5,4,1,2]=>[1,5,3,4,2]=>[[1,2,4],[3],[5]]=>[3,2]
[3,5,4,2,1]=>[5,3,4,2,1]=>[[1,4],[2],[3],[5]]=>[3,2]
[4,1,2,3,5]=>[1,2,4,3,5]=>[[1,2,3,5],[4]]=>[4,1]
[4,1,2,5,3]=>[4,1,5,2,3]=>[[1,2,3],[4,5]]=>[4,1]
[4,1,3,2,5]=>[4,1,3,2,5]=>[[1,2,5],[3],[4]]=>[4,1]
[4,1,3,5,2]=>[4,1,3,5,2]=>[[1,2,5],[3],[4]]=>[4,1]
[4,1,5,2,3]=>[1,4,5,2,3]=>[[1,2,3],[4,5]]=>[4,1]
[4,1,5,3,2]=>[4,5,3,1,2]=>[[1,2],[3,5],[4]]=>[4,1]
[4,2,1,3,5]=>[2,4,1,3,5]=>[[1,3,5],[2,4]]=>[2,2,1]
[4,2,1,5,3]=>[4,5,2,1,3]=>[[1,3],[2,5],[4]]=>[2,2,1]
[4,2,3,1,5]=>[2,4,3,1,5]=>[[1,3,5],[2],[4]]=>[2,2,1]
[4,2,3,5,1]=>[2,4,3,5,1]=>[[1,3,5],[2],[4]]=>[2,2,1]
[4,2,5,1,3]=>[2,4,1,5,3]=>[[1,3,5],[2,4]]=>[2,2,1]
[4,2,5,3,1]=>[4,5,2,3,1]=>[[1,3],[2,5],[4]]=>[2,2,1]
[4,3,1,2,5]=>[1,4,3,2,5]=>[[1,2,5],[3],[4]]=>[4,1]
[4,3,1,5,2]=>[4,3,5,1,2]=>[[1,2],[3,5],[4]]=>[4,1]
[4,3,2,1,5]=>[4,3,2,1,5]=>[[1,5],[2],[3],[4]]=>[4,1]
[4,3,2,5,1]=>[4,3,2,5,1]=>[[1,5],[2],[3],[4]]=>[4,1]
[4,3,5,1,2]=>[1,4,3,5,2]=>[[1,2,5],[3],[4]]=>[4,1]
[4,3,5,2,1]=>[4,3,5,2,1]=>[[1,5],[2],[3],[4]]=>[4,1]
[4,5,1,2,3]=>[1,2,4,5,3]=>[[1,2,3,5],[4]]=>[4,1]
[4,5,1,3,2]=>[4,1,5,3,2]=>[[1,2],[3,5],[4]]=>[4,1]
[4,5,2,1,3]=>[2,4,5,1,3]=>[[1,3,5],[2,4]]=>[2,2,1]
[4,5,2,3,1]=>[2,4,5,3,1]=>[[1,3,5],[2],[4]]=>[2,2,1]
[4,5,3,1,2]=>[1,4,5,3,2]=>[[1,2,5],[3],[4]]=>[4,1]
[4,5,3,2,1]=>[4,5,3,2,1]=>[[1,5],[2],[3],[4]]=>[4,1]
[5,1,2,3,4]=>[1,2,3,5,4]=>[[1,2,3,4],[5]]=>[5]
[5,1,2,4,3]=>[5,1,2,4,3]=>[[1,2,3],[4],[5]]=>[5]
[5,1,3,2,4]=>[1,5,3,2,4]=>[[1,2,4],[3],[5]]=>[3,2]
[5,1,3,4,2]=>[3,1,5,4,2]=>[[1,2],[3,4],[5]]=>[3,2]
[5,1,4,2,3]=>[1,5,2,4,3]=>[[1,2,3],[4],[5]]=>[5]
[5,1,4,3,2]=>[5,4,1,3,2]=>[[1,2],[3],[4],[5]]=>[5]
[5,2,1,3,4]=>[2,1,5,3,4]=>[[1,3,4],[2,5]]=>[2,3]
[5,2,1,4,3]=>[5,2,4,1,3]=>[[1,3],[2,4],[5]]=>[2,3]
[5,2,3,1,4]=>[2,3,5,1,4]=>[[1,3,4],[2,5]]=>[2,3]
[5,2,3,4,1]=>[2,3,5,4,1]=>[[1,3,4],[2],[5]]=>[2,3]
[5,2,4,1,3]=>[2,1,5,4,3]=>[[1,3],[2,4],[5]]=>[2,3]
[5,2,4,3,1]=>[5,2,4,3,1]=>[[1,3],[2],[4],[5]]=>[2,3]
[5,3,1,2,4]=>[1,3,5,2,4]=>[[1,2,4],[3,5]]=>[3,2]
[5,3,1,4,2]=>[3,5,4,1,2]=>[[1,2],[3,4],[5]]=>[3,2]
[5,3,2,1,4]=>[3,5,2,1,4]=>[[1,4],[2,5],[3]]=>[3,2]
[5,3,2,4,1]=>[3,5,2,4,1]=>[[1,4],[2,5],[3]]=>[3,2]
[5,3,4,1,2]=>[1,3,5,4,2]=>[[1,2,4],[3],[5]]=>[3,2]
[5,3,4,2,1]=>[3,5,4,2,1]=>[[1,4],[2],[3],[5]]=>[3,2]
[5,4,1,2,3]=>[1,2,5,4,3]=>[[1,2,3],[4],[5]]=>[5]
[5,4,1,3,2]=>[5,1,4,3,2]=>[[1,2],[3],[4],[5]]=>[5]
[5,4,2,1,3]=>[2,5,4,1,3]=>[[1,3],[2,4],[5]]=>[2,3]
[5,4,2,3,1]=>[2,5,4,3,1]=>[[1,3],[2],[4],[5]]=>[2,3]
[5,4,3,1,2]=>[1,5,4,3,2]=>[[1,2],[3],[4],[5]]=>[5]
[5,4,3,2,1]=>[5,4,3,2,1]=>[[1],[2],[3],[4],[5]]=>[5]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[[1,2,3,4,5,6]]=>[6]
[1,2,3,4,6,5]=>[6,1,2,3,4,5]=>[[1,2,3,4,5],[6]]=>[6]
[1,2,3,5,4,6]=>[5,1,2,3,4,6]=>[[1,2,3,4,6],[5]]=>[5,1]
[1,2,3,5,6,4]=>[5,1,2,3,6,4]=>[[1,2,3,4],[5,6]]=>[5,1]
[1,2,3,6,4,5]=>[1,6,2,3,4,5]=>[[1,2,3,4,5],[6]]=>[6]
[1,2,3,6,5,4]=>[6,5,1,2,3,4]=>[[1,2,3,4],[5],[6]]=>[6]
[1,2,4,3,5,6]=>[4,1,2,3,5,6]=>[[1,2,3,5,6],[4]]=>[4,2]
[1,2,4,3,6,5]=>[6,4,1,2,3,5]=>[[1,2,3,5],[4],[6]]=>[4,2]
[1,2,4,5,3,6]=>[4,1,2,5,3,6]=>[[1,2,3,6],[4,5]]=>[4,2]
[1,2,4,5,6,3]=>[4,1,2,5,6,3]=>[[1,2,3,6],[4,5]]=>[4,2]
[1,2,4,6,3,5]=>[4,1,2,3,6,5]=>[[1,2,3,5],[4,6]]=>[4,2]
[1,2,4,6,5,3]=>[6,4,1,2,5,3]=>[[1,2,3],[4,5],[6]]=>[4,2]
[1,2,5,3,4,6]=>[1,5,2,3,4,6]=>[[1,2,3,4,6],[5]]=>[5,1]
[1,2,5,3,6,4]=>[5,6,1,2,3,4]=>[[1,2,3,4],[5,6]]=>[5,1]
[1,2,5,4,3,6]=>[5,4,1,2,3,6]=>[[1,2,3,6],[4],[5]]=>[5,1]
[1,2,5,4,6,3]=>[5,4,1,2,6,3]=>[[1,2,3],[4,6],[5]]=>[5,1]
[1,2,5,6,3,4]=>[1,5,2,3,6,4]=>[[1,2,3,4],[5,6]]=>[5,1]
[1,2,5,6,4,3]=>[5,6,1,2,4,3]=>[[1,2,3],[4,6],[5]]=>[5,1]
[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[[1,2,3,4,5],[6]]=>[6]
[1,2,6,3,5,4]=>[6,1,5,2,3,4]=>[[1,2,3,4],[5],[6]]=>[6]
[1,2,6,4,3,5]=>[4,6,1,2,3,5]=>[[1,2,3,5],[4,6]]=>[4,2]
[1,2,6,4,5,3]=>[6,1,4,2,5,3]=>[[1,2,3],[4,5],[6]]=>[4,2]
[1,2,6,5,3,4]=>[1,6,5,2,3,4]=>[[1,2,3,4],[5],[6]]=>[6]
[1,2,6,5,4,3]=>[6,5,4,1,2,3]=>[[1,2,3],[4],[5],[6]]=>[6]
[1,3,2,4,5,6]=>[3,1,2,4,5,6]=>[[1,2,4,5,6],[3]]=>[3,3]
[1,3,2,4,6,5]=>[6,3,1,2,4,5]=>[[1,2,4,5],[3],[6]]=>[3,3]
[1,3,2,5,4,6]=>[5,3,1,2,4,6]=>[[1,2,4,6],[3],[5]]=>[3,2,1]
[1,3,2,5,6,4]=>[5,3,1,2,6,4]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[1,3,2,6,4,5]=>[3,6,1,2,4,5]=>[[1,2,4,5],[3,6]]=>[3,3]
[1,3,2,6,5,4]=>[6,5,3,1,2,4]=>[[1,2,4],[3],[5],[6]]=>[3,3]
[1,3,4,2,5,6]=>[3,1,4,2,5,6]=>[[1,2,5,6],[3,4]]=>[3,3]
[1,3,4,2,6,5]=>[6,3,1,4,2,5]=>[[1,2,5],[3,4],[6]]=>[3,3]
[1,3,4,5,2,6]=>[3,1,4,5,2,6]=>[[1,2,5,6],[3,4]]=>[3,3]
[1,3,4,5,6,2]=>[3,1,4,5,6,2]=>[[1,2,5,6],[3,4]]=>[3,3]
[1,3,4,6,2,5]=>[3,1,4,2,6,5]=>[[1,2,5],[3,4,6]]=>[3,3]
[1,3,4,6,5,2]=>[6,3,1,4,5,2]=>[[1,2,5],[3,4],[6]]=>[3,3]
[1,3,5,2,4,6]=>[3,1,2,5,4,6]=>[[1,2,4,6],[3,5]]=>[3,2,1]
[1,3,5,2,6,4]=>[5,3,1,6,2,4]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[1,3,5,4,2,6]=>[5,3,1,4,2,6]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[1,3,5,4,6,2]=>[5,3,1,4,6,2]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[1,3,5,6,2,4]=>[3,1,2,5,6,4]=>[[1,2,4,6],[3,5]]=>[3,2,1]
[1,3,5,6,4,2]=>[5,3,1,6,4,2]=>[[1,2],[3,4],[5,6]]=>[3,2,1]
[1,3,6,2,4,5]=>[3,1,2,4,6,5]=>[[1,2,4,5],[3,6]]=>[3,3]
[1,3,6,2,5,4]=>[6,3,1,2,5,4]=>[[1,2,4],[3,5],[6]]=>[3,3]
[1,3,6,4,2,5]=>[3,6,1,4,2,5]=>[[1,2,5],[3,4],[6]]=>[3,3]
[1,3,6,4,5,2]=>[6,1,3,4,5,2]=>[[1,2,4,5],[3],[6]]=>[3,3]
[1,3,6,5,2,4]=>[3,6,1,2,5,4]=>[[1,2,4],[3,5],[6]]=>[3,3]
[1,3,6,5,4,2]=>[6,5,3,1,4,2]=>[[1,2],[3,4],[5],[6]]=>[3,3]
[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[[1,2,3,5,6],[4]]=>[4,2]
[1,4,2,3,6,5]=>[6,1,4,2,3,5]=>[[1,2,3,5],[4],[6]]=>[4,2]
[1,4,2,5,3,6]=>[4,5,1,2,3,6]=>[[1,2,3,6],[4,5]]=>[4,2]
[1,4,2,5,6,3]=>[4,5,1,2,6,3]=>[[1,2,3],[4,5,6]]=>[4,2]
[1,4,2,6,3,5]=>[4,1,6,2,3,5]=>[[1,2,3,5],[4,6]]=>[4,2]
[1,4,2,6,5,3]=>[6,4,5,1,2,3]=>[[1,2,3],[4,5],[6]]=>[4,2]
[1,4,3,2,5,6]=>[4,3,1,2,5,6]=>[[1,2,5,6],[3],[4]]=>[4,2]
[1,4,3,2,6,5]=>[6,4,3,1,2,5]=>[[1,2,5],[3],[4],[6]]=>[4,2]
[1,4,3,5,2,6]=>[4,3,1,5,2,6]=>[[1,2,6],[3,5],[4]]=>[4,2]
[1,4,3,5,6,2]=>[4,3,1,5,6,2]=>[[1,2,6],[3,5],[4]]=>[4,2]
[1,4,3,6,2,5]=>[4,3,1,2,6,5]=>[[1,2,5],[3,6],[4]]=>[4,2]
[1,4,3,6,5,2]=>[6,4,3,1,5,2]=>[[1,2],[3,5],[4],[6]]=>[4,2]
[1,4,5,2,3,6]=>[1,4,2,5,3,6]=>[[1,2,3,6],[4,5]]=>[4,2]
[1,4,5,2,6,3]=>[4,5,1,6,2,3]=>[[1,2,3],[4,5,6]]=>[4,2]
[1,4,5,3,2,6]=>[4,5,1,3,2,6]=>[[1,2,6],[3,5],[4]]=>[4,2]
[1,4,5,3,6,2]=>[4,5,1,3,6,2]=>[[1,2,6],[3,5],[4]]=>[4,2]
[1,4,5,6,2,3]=>[1,4,2,5,6,3]=>[[1,2,3,6],[4,5]]=>[4,2]
[1,4,5,6,3,2]=>[4,5,1,6,3,2]=>[[1,2,6],[3,5],[4]]=>[4,2]
[1,4,6,2,3,5]=>[1,4,2,3,6,5]=>[[1,2,3,5],[4,6]]=>[4,2]
[1,4,6,2,5,3]=>[4,6,1,2,5,3]=>[[1,2,3],[4,5],[6]]=>[4,2]
[1,4,6,3,2,5]=>[4,1,6,3,2,5]=>[[1,2,5],[3,6],[4]]=>[4,2]
[1,4,6,3,5,2]=>[4,3,1,6,5,2]=>[[1,2],[3,5],[4,6]]=>[4,2]
[1,4,6,5,2,3]=>[1,6,4,2,5,3]=>[[1,2,3],[4,5],[6]]=>[4,2]
[1,4,6,5,3,2]=>[6,4,5,1,3,2]=>[[1,2],[3,5],[4],[6]]=>[4,2]
[1,5,2,3,4,6]=>[1,2,5,3,4,6]=>[[1,2,3,4,6],[5]]=>[5,1]
[1,5,2,3,6,4]=>[5,1,6,2,3,4]=>[[1,2,3,4],[5,6]]=>[5,1]
[1,5,2,4,3,6]=>[5,1,4,2,3,6]=>[[1,2,3,6],[4],[5]]=>[5,1]
[1,5,2,4,6,3]=>[5,1,4,2,6,3]=>[[1,2,3],[4,6],[5]]=>[5,1]
[1,5,2,6,3,4]=>[1,5,6,2,3,4]=>[[1,2,3,4],[5,6]]=>[5,1]
[1,5,2,6,4,3]=>[5,6,4,1,2,3]=>[[1,2,3],[4,6],[5]]=>[5,1]
[1,5,3,2,4,6]=>[3,5,1,2,4,6]=>[[1,2,4,6],[3,5]]=>[3,2,1]
[1,5,3,2,6,4]=>[5,6,3,1,2,4]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[1,5,3,4,2,6]=>[5,1,3,4,2,6]=>[[1,2,4,6],[3],[5]]=>[3,2,1]
[1,5,3,4,6,2]=>[5,1,3,4,6,2]=>[[1,2,4,6],[3],[5]]=>[3,2,1]
[1,5,3,6,2,4]=>[3,5,1,2,6,4]=>[[1,2,4],[3,5,6]]=>[3,2,1]
[1,5,3,6,4,2]=>[5,6,3,1,4,2]=>[[1,2],[3,4],[5,6]]=>[3,2,1]
[1,5,4,2,3,6]=>[1,5,4,2,3,6]=>[[1,2,3,6],[4],[5]]=>[5,1]
[1,5,4,2,6,3]=>[5,4,6,1,2,3]=>[[1,2,3],[4,6],[5]]=>[5,1]
[1,5,4,3,2,6]=>[5,4,3,1,2,6]=>[[1,2,6],[3],[4],[5]]=>[5,1]
[1,5,4,3,6,2]=>[5,4,3,1,6,2]=>[[1,2],[3,6],[4],[5]]=>[5,1]
[1,5,4,6,2,3]=>[1,5,4,2,6,3]=>[[1,2,3],[4,6],[5]]=>[5,1]
[1,5,4,6,3,2]=>[5,4,6,1,3,2]=>[[1,2],[3,6],[4],[5]]=>[5,1]
[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>[[1,2,3,4],[5,6]]=>[5,1]
[1,5,6,2,4,3]=>[5,1,6,2,4,3]=>[[1,2,3],[4,6],[5]]=>[5,1]
[1,5,6,3,2,4]=>[1,5,6,3,2,4]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[1,5,6,3,4,2]=>[5,1,3,6,4,2]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[1,5,6,4,2,3]=>[1,5,6,2,4,3]=>[[1,2,3],[4,6],[5]]=>[5,1]
[1,5,6,4,3,2]=>[5,6,4,1,3,2]=>[[1,2],[3,6],[4],[5]]=>[5,1]
[1,6,2,3,4,5]=>[1,2,3,6,4,5]=>[[1,2,3,4,5],[6]]=>[6]
[1,6,2,3,5,4]=>[6,1,2,5,3,4]=>[[1,2,3,4],[5],[6]]=>[6]
[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[[1,2,3,5],[4],[6]]=>[4,2]
[1,6,2,4,5,3]=>[6,1,2,4,5,3]=>[[1,2,3,5],[4],[6]]=>[4,2]
[1,6,2,5,3,4]=>[1,6,2,5,3,4]=>[[1,2,3,4],[5],[6]]=>[6]
[1,6,2,5,4,3]=>[6,5,1,4,2,3]=>[[1,2,3],[4],[5],[6]]=>[6]
[1,6,3,2,4,5]=>[3,1,6,2,4,5]=>[[1,2,4,5],[3,6]]=>[3,3]
[1,6,3,2,5,4]=>[6,3,5,1,2,4]=>[[1,2,4],[3,5],[6]]=>[3,3]
[1,6,3,4,2,5]=>[1,6,3,4,2,5]=>[[1,2,4,5],[3],[6]]=>[3,3]
[1,6,3,4,5,2]=>[3,1,6,4,5,2]=>[[1,2,5],[3,4],[6]]=>[3,3]
[1,6,3,5,2,4]=>[1,6,3,2,5,4]=>[[1,2,4],[3,5],[6]]=>[3,3]
[1,6,3,5,4,2]=>[6,5,1,3,4,2]=>[[1,2,4],[3],[5],[6]]=>[3,3]
[1,6,4,2,3,5]=>[1,4,6,2,3,5]=>[[1,2,3,5],[4,6]]=>[4,2]
[1,6,4,2,5,3]=>[4,6,5,1,2,3]=>[[1,2,3],[4,5],[6]]=>[4,2]
[1,6,4,3,2,5]=>[4,6,3,1,2,5]=>[[1,2,5],[3,6],[4]]=>[4,2]
[1,6,4,3,5,2]=>[4,6,3,1,5,2]=>[[1,2],[3,5],[4,6]]=>[4,2]
[1,6,4,5,2,3]=>[1,6,2,4,5,3]=>[[1,2,3,5],[4],[6]]=>[4,2]
[1,6,4,5,3,2]=>[6,4,1,5,3,2]=>[[1,2],[3,5],[4],[6]]=>[4,2]
[1,6,5,2,3,4]=>[1,2,6,5,3,4]=>[[1,2,3,4],[5],[6]]=>[6]
[1,6,5,2,4,3]=>[6,1,5,4,2,3]=>[[1,2,3],[4],[5],[6]]=>[6]
[1,6,5,3,2,4]=>[3,6,5,1,2,4]=>[[1,2,4],[3,5],[6]]=>[3,3]
[1,6,5,3,4,2]=>[6,1,5,3,4,2]=>[[1,2,4],[3],[5],[6]]=>[3,3]
[1,6,5,4,2,3]=>[1,6,5,4,2,3]=>[[1,2,3],[4],[5],[6]]=>[6]
[1,6,5,4,3,2]=>[6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6]]=>[6]
[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[[1,3,4,5,6],[2]]=>[2,4]
[2,1,3,4,6,5]=>[6,2,1,3,4,5]=>[[1,3,4,5],[2],[6]]=>[2,4]
[2,1,3,5,4,6]=>[5,2,1,3,4,6]=>[[1,3,4,6],[2],[5]]=>[2,3,1]
[2,1,3,5,6,4]=>[5,2,1,3,6,4]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[2,1,3,6,4,5]=>[2,6,1,3,4,5]=>[[1,3,4,5],[2,6]]=>[2,4]
[2,1,3,6,5,4]=>[6,5,2,1,3,4]=>[[1,3,4],[2],[5],[6]]=>[2,4]
[2,1,4,3,5,6]=>[4,2,1,3,5,6]=>[[1,3,5,6],[2],[4]]=>[2,2,2]
[2,1,4,3,6,5]=>[6,4,2,1,3,5]=>[[1,3,5],[2],[4],[6]]=>[2,2,2]
[2,1,4,5,3,6]=>[4,2,1,5,3,6]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[2,1,4,5,6,3]=>[4,2,1,5,6,3]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[2,1,4,6,3,5]=>[4,2,1,3,6,5]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[2,1,4,6,5,3]=>[6,4,2,1,5,3]=>[[1,3],[2,5],[4],[6]]=>[2,2,2]
[2,1,5,3,4,6]=>[2,5,1,3,4,6]=>[[1,3,4,6],[2,5]]=>[2,3,1]
[2,1,5,3,6,4]=>[5,6,2,1,3,4]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[2,1,5,4,3,6]=>[5,4,2,1,3,6]=>[[1,3,6],[2],[4],[5]]=>[2,3,1]
[2,1,5,4,6,3]=>[5,4,2,1,6,3]=>[[1,3],[2,6],[4],[5]]=>[2,3,1]
[2,1,5,6,3,4]=>[2,5,1,3,6,4]=>[[1,3,4],[2,5,6]]=>[2,3,1]
[2,1,5,6,4,3]=>[5,6,2,1,4,3]=>[[1,3],[2,4],[5,6]]=>[2,3,1]
[2,1,6,3,4,5]=>[2,1,6,3,4,5]=>[[1,3,4,5],[2,6]]=>[2,4]
[2,1,6,3,5,4]=>[6,2,5,1,3,4]=>[[1,3,4],[2,5],[6]]=>[2,4]
[2,1,6,4,3,5]=>[4,6,2,1,3,5]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[2,1,6,4,5,3]=>[6,2,4,1,5,3]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[2,1,6,5,3,4]=>[2,6,5,1,3,4]=>[[1,3,4],[2,5],[6]]=>[2,4]
[2,1,6,5,4,3]=>[6,5,4,2,1,3]=>[[1,3],[2],[4],[5],[6]]=>[2,4]
[2,3,1,4,5,6]=>[2,3,1,4,5,6]=>[[1,3,4,5,6],[2]]=>[2,4]
[2,3,1,4,6,5]=>[6,2,3,1,4,5]=>[[1,3,4,5],[2],[6]]=>[2,4]
[2,3,1,5,4,6]=>[5,2,3,1,4,6]=>[[1,3,4,6],[2],[5]]=>[2,3,1]
[2,3,1,5,6,4]=>[5,2,3,1,6,4]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[2,3,1,6,4,5]=>[2,6,3,1,4,5]=>[[1,3,4,5],[2],[6]]=>[2,4]
[2,3,1,6,5,4]=>[6,5,2,3,1,4]=>[[1,3,4],[2],[5],[6]]=>[2,4]
[2,3,4,1,5,6]=>[2,3,4,1,5,6]=>[[1,3,4,5,6],[2]]=>[2,4]
[2,3,4,1,6,5]=>[6,2,3,4,1,5]=>[[1,3,4,5],[2],[6]]=>[2,4]
[2,3,4,5,1,6]=>[2,3,4,5,1,6]=>[[1,3,4,5,6],[2]]=>[2,4]
[2,3,4,5,6,1]=>[2,3,4,5,6,1]=>[[1,3,4,5,6],[2]]=>[2,4]
[2,3,4,6,1,5]=>[2,3,4,1,6,5]=>[[1,3,4,5],[2,6]]=>[2,4]
[2,3,4,6,5,1]=>[6,2,3,4,5,1]=>[[1,3,4,5],[2],[6]]=>[2,4]
[2,3,5,1,4,6]=>[2,3,1,5,4,6]=>[[1,3,4,6],[2,5]]=>[2,3,1]
[2,3,5,1,6,4]=>[5,2,3,6,1,4]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[2,3,5,4,1,6]=>[5,2,3,4,1,6]=>[[1,3,4,6],[2],[5]]=>[2,3,1]
[2,3,5,4,6,1]=>[5,2,3,4,6,1]=>[[1,3,4,6],[2],[5]]=>[2,3,1]
[2,3,5,6,1,4]=>[2,3,1,5,6,4]=>[[1,3,4,6],[2,5]]=>[2,3,1]
[2,3,5,6,4,1]=>[5,2,3,6,4,1]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[2,3,6,1,4,5]=>[2,3,1,4,6,5]=>[[1,3,4,5],[2,6]]=>[2,4]
[2,3,6,1,5,4]=>[6,2,3,1,5,4]=>[[1,3,4],[2,5],[6]]=>[2,4]
[2,3,6,4,1,5]=>[2,6,3,4,1,5]=>[[1,3,4,5],[2],[6]]=>[2,4]
[2,3,6,4,5,1]=>[2,6,3,4,5,1]=>[[1,3,4,5],[2],[6]]=>[2,4]
[2,3,6,5,1,4]=>[2,6,3,1,5,4]=>[[1,3,4],[2,5],[6]]=>[2,4]
[2,3,6,5,4,1]=>[6,5,2,3,4,1]=>[[1,3,4],[2],[5],[6]]=>[2,4]
[2,4,1,3,5,6]=>[2,1,4,3,5,6]=>[[1,3,5,6],[2,4]]=>[2,2,2]
[2,4,1,3,6,5]=>[6,2,1,4,3,5]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[2,4,1,5,3,6]=>[4,2,5,1,3,6]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[2,4,1,5,6,3]=>[4,2,5,1,6,3]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[2,4,1,6,3,5]=>[4,2,1,6,3,5]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[2,4,1,6,5,3]=>[6,4,2,5,1,3]=>[[1,3],[2,5],[4],[6]]=>[2,2,2]
[2,4,3,1,5,6]=>[4,2,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>[2,2,2]
[2,4,3,1,6,5]=>[6,4,2,3,1,5]=>[[1,3,5],[2],[4],[6]]=>[2,2,2]
[2,4,3,5,1,6]=>[4,2,3,5,1,6]=>[[1,3,5,6],[2],[4]]=>[2,2,2]
[2,4,3,5,6,1]=>[4,2,3,5,6,1]=>[[1,3,5,6],[2],[4]]=>[2,2,2]
[2,4,3,6,1,5]=>[4,2,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[2,4,3,6,5,1]=>[6,4,2,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[2,2,2]
[2,4,5,1,3,6]=>[2,1,4,5,3,6]=>[[1,3,5,6],[2,4]]=>[2,2,2]
[2,4,5,1,6,3]=>[4,2,5,6,1,3]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[2,4,5,3,1,6]=>[4,2,5,3,1,6]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[2,4,5,3,6,1]=>[4,2,5,3,6,1]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[2,4,5,6,1,3]=>[2,1,4,5,6,3]=>[[1,3,5,6],[2,4]]=>[2,2,2]
[2,4,5,6,3,1]=>[4,2,5,6,3,1]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[2,4,6,1,3,5]=>[2,1,4,3,6,5]=>[[1,3,5],[2,4,6]]=>[2,2,2]
[2,4,6,1,5,3]=>[4,2,6,1,5,3]=>[[1,3],[2,5],[4,6]]=>[2,2,2]
[2,4,6,3,1,5]=>[4,2,3,6,1,5]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[2,4,6,3,5,1]=>[4,2,3,6,5,1]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[2,4,6,5,1,3]=>[2,6,1,4,5,3]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[2,4,6,5,3,1]=>[6,4,2,5,3,1]=>[[1,3],[2,5],[4],[6]]=>[2,2,2]
[2,5,1,3,4,6]=>[2,1,3,5,4,6]=>[[1,3,4,6],[2,5]]=>[2,3,1]
[2,5,1,3,6,4]=>[5,2,1,6,3,4]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[2,5,1,4,3,6]=>[5,2,1,4,3,6]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[2,5,1,4,6,3]=>[5,2,1,4,6,3]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[2,5,1,6,3,4]=>[2,5,1,6,3,4]=>[[1,3,4],[2,5,6]]=>[2,3,1]
[2,5,1,6,4,3]=>[5,6,2,4,1,3]=>[[1,3],[2,4],[5,6]]=>[2,3,1]
[2,5,3,1,4,6]=>[2,5,3,1,4,6]=>[[1,3,4,6],[2],[5]]=>[2,3,1]
[2,5,3,1,6,4]=>[5,6,2,3,1,4]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[2,5,3,4,1,6]=>[2,5,3,4,1,6]=>[[1,3,4,6],[2],[5]]=>[2,3,1]
[2,5,3,4,6,1]=>[2,5,3,4,6,1]=>[[1,3,4,6],[2],[5]]=>[2,3,1]
[2,5,3,6,1,4]=>[2,5,3,1,6,4]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[2,5,3,6,4,1]=>[5,6,2,3,4,1]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[2,5,4,1,3,6]=>[2,5,1,4,3,6]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[2,5,4,1,6,3]=>[5,4,2,6,1,3]=>[[1,3],[2,6],[4],[5]]=>[2,3,1]
[2,5,4,3,1,6]=>[5,4,2,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[2,3,1]
[2,5,4,3,6,1]=>[5,4,2,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[2,3,1]
[2,5,4,6,1,3]=>[2,5,1,4,6,3]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[2,5,4,6,3,1]=>[5,4,2,6,3,1]=>[[1,3],[2,6],[4],[5]]=>[2,3,1]
[2,5,6,1,3,4]=>[2,1,3,5,6,4]=>[[1,3,4,6],[2,5]]=>[2,3,1]
[2,5,6,1,4,3]=>[5,2,1,6,4,3]=>[[1,3],[2,4],[5,6]]=>[2,3,1]
[2,5,6,3,1,4]=>[2,5,3,6,1,4]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[2,5,6,3,4,1]=>[2,5,3,6,4,1]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[2,5,6,4,1,3]=>[2,5,1,6,4,3]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[2,5,6,4,3,1]=>[5,6,2,4,3,1]=>[[1,3],[2,6],[4],[5]]=>[2,3,1]
[2,6,1,3,4,5]=>[2,1,3,4,6,5]=>[[1,3,4,5],[2,6]]=>[2,4]
[2,6,1,3,5,4]=>[6,2,1,3,5,4]=>[[1,3,4],[2,5],[6]]=>[2,4]
[2,6,1,4,3,5]=>[2,6,1,4,3,5]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[2,6,1,4,5,3]=>[4,2,1,6,5,3]=>[[1,3],[2,5],[4,6]]=>[2,2,2]
[2,6,1,5,3,4]=>[2,6,1,3,5,4]=>[[1,3,4],[2,5],[6]]=>[2,4]
[2,6,1,5,4,3]=>[6,5,2,1,4,3]=>[[1,3],[2,4],[5],[6]]=>[2,4]
[2,6,3,1,4,5]=>[2,3,6,1,4,5]=>[[1,3,4,5],[2,6]]=>[2,4]
[2,6,3,1,5,4]=>[6,2,5,3,1,4]=>[[1,3,4],[2],[5],[6]]=>[2,4]
[2,6,3,4,1,5]=>[2,3,6,4,1,5]=>[[1,3,4,5],[2],[6]]=>[2,4]
[2,6,3,4,5,1]=>[2,3,6,4,5,1]=>[[1,3,4,5],[2],[6]]=>[2,4]
[2,6,3,5,1,4]=>[2,3,6,1,5,4]=>[[1,3,4],[2,5],[6]]=>[2,4]
[2,6,3,5,4,1]=>[6,2,5,3,4,1]=>[[1,3,4],[2],[5],[6]]=>[2,4]
[2,6,4,1,3,5]=>[2,1,6,4,3,5]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[2,6,4,1,5,3]=>[6,2,4,5,1,3]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[2,6,4,3,1,5]=>[4,6,2,3,1,5]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[2,6,4,3,5,1]=>[4,6,2,3,5,1]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[2,6,4,5,1,3]=>[2,1,6,4,5,3]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[2,6,4,5,3,1]=>[6,2,4,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[2,2,2]
[2,6,5,1,3,4]=>[2,1,6,3,5,4]=>[[1,3,4],[2,5],[6]]=>[2,4]
[2,6,5,1,4,3]=>[6,2,5,1,4,3]=>[[1,3],[2,4],[5],[6]]=>[2,4]
[2,6,5,3,1,4]=>[2,6,5,3,1,4]=>[[1,3,4],[2],[5],[6]]=>[2,4]
[2,6,5,3,4,1]=>[2,6,5,3,4,1]=>[[1,3,4],[2],[5],[6]]=>[2,4]
[2,6,5,4,1,3]=>[2,6,5,1,4,3]=>[[1,3],[2,4],[5],[6]]=>[2,4]
[2,6,5,4,3,1]=>[6,5,4,2,3,1]=>[[1,3],[2],[4],[5],[6]]=>[2,4]
[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[[1,2,4,5,6],[3]]=>[3,3]
[3,1,2,4,6,5]=>[6,1,3,2,4,5]=>[[1,2,4,5],[3],[6]]=>[3,3]
[3,1,2,5,4,6]=>[5,1,3,2,4,6]=>[[1,2,4,6],[3],[5]]=>[3,2,1]
[3,1,2,5,6,4]=>[5,1,3,2,6,4]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[3,1,2,6,4,5]=>[1,6,3,2,4,5]=>[[1,2,4,5],[3],[6]]=>[3,3]
[3,1,2,6,5,4]=>[6,5,1,3,2,4]=>[[1,2,4],[3],[5],[6]]=>[3,3]
[3,1,4,2,5,6]=>[3,4,1,2,5,6]=>[[1,2,5,6],[3,4]]=>[3,3]
[3,1,4,2,6,5]=>[6,3,4,1,2,5]=>[[1,2,5],[3,4],[6]]=>[3,3]
[3,1,4,5,2,6]=>[3,4,1,5,2,6]=>[[1,2,5,6],[3,4]]=>[3,3]
[3,1,4,5,6,2]=>[3,4,1,5,6,2]=>[[1,2,5,6],[3,4]]=>[3,3]
[3,1,4,6,2,5]=>[3,4,1,2,6,5]=>[[1,2,5],[3,4,6]]=>[3,3]
[3,1,4,6,5,2]=>[6,3,4,1,5,2]=>[[1,2,5],[3,4],[6]]=>[3,3]
[3,1,5,2,4,6]=>[3,1,5,2,4,6]=>[[1,2,4,6],[3,5]]=>[3,2,1]
[3,1,5,2,6,4]=>[5,3,6,1,2,4]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[3,1,5,4,2,6]=>[5,3,4,1,2,6]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[3,1,5,4,6,2]=>[5,3,4,1,6,2]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[3,1,5,6,2,4]=>[3,1,5,2,6,4]=>[[1,2,4],[3,5,6]]=>[3,2,1]
[3,1,5,6,4,2]=>[5,3,6,1,4,2]=>[[1,2],[3,4],[5,6]]=>[3,2,1]
[3,1,6,2,4,5]=>[3,1,2,6,4,5]=>[[1,2,4,5],[3,6]]=>[3,3]
[3,1,6,2,5,4]=>[6,3,1,5,2,4]=>[[1,2,4],[3,5],[6]]=>[3,3]
[3,1,6,4,2,5]=>[3,6,4,1,2,5]=>[[1,2,5],[3,4],[6]]=>[3,3]
[3,1,6,4,5,2]=>[3,6,4,1,5,2]=>[[1,2,5],[3,4],[6]]=>[3,3]
[3,1,6,5,2,4]=>[3,6,1,5,2,4]=>[[1,2,4],[3,5],[6]]=>[3,3]
[3,1,6,5,4,2]=>[6,5,3,4,1,2]=>[[1,2],[3,4],[5],[6]]=>[3,3]
[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[[1,4,5,6],[2],[3]]=>[3,3]
[3,2,1,4,6,5]=>[6,3,2,1,4,5]=>[[1,4,5],[2],[3],[6]]=>[3,3]
[3,2,1,5,4,6]=>[5,3,2,1,4,6]=>[[1,4,6],[2],[3],[5]]=>[3,2,1]
[3,2,1,5,6,4]=>[5,3,2,1,6,4]=>[[1,4],[2,6],[3],[5]]=>[3,2,1]
[3,2,1,6,4,5]=>[3,6,2,1,4,5]=>[[1,4,5],[2,6],[3]]=>[3,3]
[3,2,1,6,5,4]=>[6,5,3,2,1,4]=>[[1,4],[2],[3],[5],[6]]=>[3,3]
[3,2,4,1,5,6]=>[3,2,4,1,5,6]=>[[1,4,5,6],[2],[3]]=>[3,3]
[3,2,4,1,6,5]=>[6,3,2,4,1,5]=>[[1,4,5],[2],[3],[6]]=>[3,3]
[3,2,4,5,1,6]=>[3,2,4,5,1,6]=>[[1,4,5,6],[2],[3]]=>[3,3]
[3,2,4,5,6,1]=>[3,2,4,5,6,1]=>[[1,4,5,6],[2],[3]]=>[3,3]
[3,2,4,6,1,5]=>[3,2,4,1,6,5]=>[[1,4,5],[2,6],[3]]=>[3,3]
[3,2,4,6,5,1]=>[6,3,2,4,5,1]=>[[1,4,5],[2],[3],[6]]=>[3,3]
[3,2,5,1,4,6]=>[3,2,1,5,4,6]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[3,2,5,1,6,4]=>[5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5]]=>[3,2,1]
[3,2,5,4,1,6]=>[5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5]]=>[3,2,1]
[3,2,5,4,6,1]=>[5,3,2,4,6,1]=>[[1,4,6],[2],[3],[5]]=>[3,2,1]
[3,2,5,6,1,4]=>[3,2,1,5,6,4]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[3,2,5,6,4,1]=>[5,3,2,6,4,1]=>[[1,4],[2,6],[3],[5]]=>[3,2,1]
[3,2,6,1,4,5]=>[3,2,1,4,6,5]=>[[1,4,5],[2,6],[3]]=>[3,3]
[3,2,6,1,5,4]=>[6,3,2,1,5,4]=>[[1,4],[2,5],[3],[6]]=>[3,3]
[3,2,6,4,1,5]=>[3,6,2,4,1,5]=>[[1,4,5],[2,6],[3]]=>[3,3]
[3,2,6,4,5,1]=>[3,6,2,4,5,1]=>[[1,4,5],[2,6],[3]]=>[3,3]
[3,2,6,5,1,4]=>[3,6,2,1,5,4]=>[[1,4],[2,5],[3,6]]=>[3,3]
[3,2,6,5,4,1]=>[6,5,3,2,4,1]=>[[1,4],[2],[3],[5],[6]]=>[3,3]
[3,4,1,2,5,6]=>[1,3,4,2,5,6]=>[[1,2,4,5,6],[3]]=>[3,3]
[3,4,1,2,6,5]=>[6,1,3,4,2,5]=>[[1,2,4,5],[3],[6]]=>[3,3]
[3,4,1,5,2,6]=>[3,4,5,1,2,6]=>[[1,2,5,6],[3,4]]=>[3,3]
[3,4,1,5,6,2]=>[3,4,5,1,6,2]=>[[1,2,5,6],[3,4]]=>[3,3]
[3,4,1,6,2,5]=>[3,4,1,6,2,5]=>[[1,2,5],[3,4,6]]=>[3,3]
[3,4,1,6,5,2]=>[6,3,4,5,1,2]=>[[1,2,5],[3,4],[6]]=>[3,3]
[3,4,2,1,5,6]=>[3,4,2,1,5,6]=>[[1,4,5,6],[2],[3]]=>[3,3]
[3,4,2,1,6,5]=>[6,3,4,2,1,5]=>[[1,4,5],[2],[3],[6]]=>[3,3]
[3,4,2,5,1,6]=>[3,4,2,5,1,6]=>[[1,4,5,6],[2],[3]]=>[3,3]
[3,4,2,5,6,1]=>[3,4,2,5,6,1]=>[[1,4,5,6],[2],[3]]=>[3,3]
[3,4,2,6,1,5]=>[3,4,2,1,6,5]=>[[1,4,5],[2,6],[3]]=>[3,3]
[3,4,2,6,5,1]=>[6,3,4,2,5,1]=>[[1,4,5],[2],[3],[6]]=>[3,3]
[3,4,5,1,2,6]=>[1,3,4,5,2,6]=>[[1,2,4,5,6],[3]]=>[3,3]
[3,4,5,1,6,2]=>[3,4,5,6,1,2]=>[[1,2,5,6],[3,4]]=>[3,3]
[3,4,5,2,1,6]=>[3,4,5,2,1,6]=>[[1,4,5,6],[2],[3]]=>[3,3]
[3,4,5,2,6,1]=>[3,4,5,2,6,1]=>[[1,4,5,6],[2],[3]]=>[3,3]
[3,4,5,6,1,2]=>[1,3,4,5,6,2]=>[[1,2,4,5,6],[3]]=>[3,3]
[3,4,5,6,2,1]=>[3,4,5,6,2,1]=>[[1,4,5,6],[2],[3]]=>[3,3]
[3,4,6,1,2,5]=>[1,3,4,2,6,5]=>[[1,2,4,5],[3,6]]=>[3,3]
[3,4,6,1,5,2]=>[3,4,6,1,5,2]=>[[1,2,5],[3,4],[6]]=>[3,3]
[3,4,6,2,1,5]=>[3,4,2,6,1,5]=>[[1,4,5],[2,6],[3]]=>[3,3]
[3,4,6,2,5,1]=>[3,4,2,6,5,1]=>[[1,4,5],[2,6],[3]]=>[3,3]
[3,4,6,5,1,2]=>[1,6,3,4,5,2]=>[[1,2,4,5],[3],[6]]=>[3,3]
[3,4,6,5,2,1]=>[6,3,4,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[3,3]
[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[[1,2,4,6],[3,5]]=>[3,2,1]
[3,5,1,2,6,4]=>[5,1,3,6,2,4]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[3,5,1,4,2,6]=>[3,5,1,4,2,6]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[3,5,1,4,6,2]=>[3,5,1,4,6,2]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[3,5,1,6,2,4]=>[3,1,5,6,2,4]=>[[1,2,4],[3,5,6]]=>[3,2,1]
[3,5,1,6,4,2]=>[5,3,6,4,1,2]=>[[1,2],[3,4],[5,6]]=>[3,2,1]
[3,5,2,1,4,6]=>[3,2,5,1,4,6]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[3,5,2,1,6,4]=>[5,3,6,2,1,4]=>[[1,4],[2,6],[3],[5]]=>[3,2,1]
[3,5,2,4,1,6]=>[3,2,5,4,1,6]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[3,5,2,4,6,1]=>[3,2,5,4,6,1]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[3,5,2,6,1,4]=>[3,2,5,1,6,4]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[3,5,2,6,4,1]=>[5,3,6,2,4,1]=>[[1,4],[2,6],[3],[5]]=>[3,2,1]
[3,5,4,1,2,6]=>[1,5,3,4,2,6]=>[[1,2,4,6],[3],[5]]=>[3,2,1]
[3,5,4,1,6,2]=>[5,3,4,6,1,2]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[3,5,4,2,1,6]=>[5,3,4,2,1,6]=>[[1,4,6],[2],[3],[5]]=>[3,2,1]
[3,5,4,2,6,1]=>[5,3,4,2,6,1]=>[[1,4,6],[2],[3],[5]]=>[3,2,1]
[3,5,4,6,1,2]=>[1,5,3,4,6,2]=>[[1,2,4,6],[3],[5]]=>[3,2,1]
[3,5,4,6,2,1]=>[5,3,4,6,2,1]=>[[1,4,6],[2],[3],[5]]=>[3,2,1]
[3,5,6,1,2,4]=>[1,3,2,5,6,4]=>[[1,2,4,6],[3,5]]=>[3,2,1]
[3,5,6,1,4,2]=>[3,5,1,6,4,2]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[3,5,6,2,1,4]=>[3,2,5,6,1,4]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[3,5,6,2,4,1]=>[3,2,5,6,4,1]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[3,5,6,4,1,2]=>[1,5,3,6,4,2]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[3,5,6,4,2,1]=>[5,3,6,4,2,1]=>[[1,4],[2,6],[3],[5]]=>[3,2,1]
[3,6,1,2,4,5]=>[1,3,2,4,6,5]=>[[1,2,4,5],[3,6]]=>[3,3]
[3,6,1,2,5,4]=>[6,1,3,2,5,4]=>[[1,2,4],[3,5],[6]]=>[3,3]
[3,6,1,4,2,5]=>[3,1,6,4,2,5]=>[[1,2,5],[3,4],[6]]=>[3,3]
[3,6,1,4,5,2]=>[3,4,1,6,5,2]=>[[1,2,5],[3,4],[6]]=>[3,3]
[3,6,1,5,2,4]=>[3,1,6,2,5,4]=>[[1,2,4],[3,5],[6]]=>[3,3]
[3,6,1,5,4,2]=>[6,3,5,1,4,2]=>[[1,2],[3,4],[5],[6]]=>[3,3]
[3,6,2,1,4,5]=>[3,2,1,6,4,5]=>[[1,4,5],[2,6],[3]]=>[3,3]
[3,6,2,1,5,4]=>[6,3,2,5,1,4]=>[[1,4],[2,5],[3],[6]]=>[3,3]
[3,6,2,4,1,5]=>[3,2,4,6,1,5]=>[[1,4,5],[2,6],[3]]=>[3,3]
[3,6,2,4,5,1]=>[3,2,4,6,5,1]=>[[1,4,5],[2,6],[3]]=>[3,3]
[3,6,2,5,1,4]=>[3,2,1,6,5,4]=>[[1,4],[2,5],[3,6]]=>[3,3]
[3,6,2,5,4,1]=>[6,3,2,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[3,3]
[3,6,4,1,2,5]=>[1,3,6,4,2,5]=>[[1,2,4,5],[3],[6]]=>[3,3]
[3,6,4,1,5,2]=>[3,6,4,5,1,2]=>[[1,2,5],[3,4],[6]]=>[3,3]
[3,6,4,2,1,5]=>[3,6,4,2,1,5]=>[[1,4,5],[2],[3],[6]]=>[3,3]
[3,6,4,2,5,1]=>[3,6,4,2,5,1]=>[[1,4,5],[2],[3],[6]]=>[3,3]
[3,6,4,5,1,2]=>[1,3,6,4,5,2]=>[[1,2,4,5],[3],[6]]=>[3,3]
[3,6,4,5,2,1]=>[3,6,4,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[3,3]
[3,6,5,1,2,4]=>[1,3,6,2,5,4]=>[[1,2,4],[3,5],[6]]=>[3,3]
[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[1,2],[3,4],[5],[6]]=>[3,3]
[3,6,5,2,1,4]=>[3,6,2,5,1,4]=>[[1,4],[2,5],[3,6]]=>[3,3]
[3,6,5,2,4,1]=>[3,6,2,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[3,3]
[3,6,5,4,1,2]=>[1,6,5,3,4,2]=>[[1,2,4],[3],[5],[6]]=>[3,3]
[3,6,5,4,2,1]=>[6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[3,3]
[4,1,2,3,5,6]=>[1,2,4,3,5,6]=>[[1,2,3,5,6],[4]]=>[4,2]
[4,1,2,3,6,5]=>[6,1,2,4,3,5]=>[[1,2,3,5],[4],[6]]=>[4,2]
[4,1,2,5,3,6]=>[4,1,5,2,3,6]=>[[1,2,3,6],[4,5]]=>[4,2]
[4,1,2,5,6,3]=>[4,1,5,2,6,3]=>[[1,2,3],[4,5,6]]=>[4,2]
[4,1,2,6,3,5]=>[4,1,2,6,3,5]=>[[1,2,3,5],[4,6]]=>[4,2]
[4,1,2,6,5,3]=>[6,4,1,5,2,3]=>[[1,2,3],[4,5],[6]]=>[4,2]
[4,1,3,2,5,6]=>[4,1,3,2,5,6]=>[[1,2,5,6],[3],[4]]=>[4,2]
[4,1,3,2,6,5]=>[6,4,1,3,2,5]=>[[1,2,5],[3],[4],[6]]=>[4,2]
[4,1,3,5,2,6]=>[4,1,3,5,2,6]=>[[1,2,5,6],[3],[4]]=>[4,2]
[4,1,3,5,6,2]=>[4,1,3,5,6,2]=>[[1,2,5,6],[3],[4]]=>[4,2]
[4,1,3,6,2,5]=>[4,1,3,2,6,5]=>[[1,2,5],[3,6],[4]]=>[4,2]
[4,1,3,6,5,2]=>[6,4,1,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[4,2]
[4,1,5,2,3,6]=>[1,4,5,2,3,6]=>[[1,2,3,6],[4,5]]=>[4,2]
[4,1,5,2,6,3]=>[4,5,6,1,2,3]=>[[1,2,3],[4,5,6]]=>[4,2]
[4,1,5,3,2,6]=>[4,5,3,1,2,6]=>[[1,2,6],[3,5],[4]]=>[4,2]
[4,1,5,3,6,2]=>[4,5,3,1,6,2]=>[[1,2,6],[3,5],[4]]=>[4,2]
[4,1,5,6,2,3]=>[1,4,5,2,6,3]=>[[1,2,3,6],[4,5]]=>[4,2]
[4,1,5,6,3,2]=>[4,5,6,1,3,2]=>[[1,2,6],[3,5],[4]]=>[4,2]
[4,1,6,2,3,5]=>[1,4,2,6,3,5]=>[[1,2,3,5],[4,6]]=>[4,2]
[4,1,6,2,5,3]=>[4,6,1,5,2,3]=>[[1,2,3],[4,5],[6]]=>[4,2]
[4,1,6,3,2,5]=>[4,3,6,1,2,5]=>[[1,2,5],[3,6],[4]]=>[4,2]
[4,1,6,3,5,2]=>[4,6,1,3,5,2]=>[[1,2,5],[3,6],[4]]=>[4,2]
[4,1,6,5,2,3]=>[1,6,4,5,2,3]=>[[1,2,3],[4,5],[6]]=>[4,2]
[4,1,6,5,3,2]=>[6,4,5,3,1,2]=>[[1,2],[3,5],[4],[6]]=>[4,2]
[4,2,1,3,5,6]=>[2,4,1,3,5,6]=>[[1,3,5,6],[2,4]]=>[2,2,2]
[4,2,1,3,6,5]=>[6,2,4,1,3,5]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[4,2,1,5,3,6]=>[4,5,2,1,3,6]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[4,2,1,5,6,3]=>[4,5,2,1,6,3]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[4,2,1,6,3,5]=>[4,2,6,1,3,5]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[4,2,1,6,5,3]=>[6,4,5,2,1,3]=>[[1,3],[2,5],[4],[6]]=>[2,2,2]
[4,2,3,1,5,6]=>[2,4,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>[2,2,2]
[4,2,3,1,6,5]=>[6,2,4,3,1,5]=>[[1,3,5],[2],[4],[6]]=>[2,2,2]
[4,2,3,5,1,6]=>[2,4,3,5,1,6]=>[[1,3,5,6],[2],[4]]=>[2,2,2]
[4,2,3,5,6,1]=>[2,4,3,5,6,1]=>[[1,3,5,6],[2],[4]]=>[2,2,2]
[4,2,3,6,1,5]=>[2,4,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[4,2,3,6,5,1]=>[6,2,4,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[2,2,2]
[4,2,5,1,3,6]=>[2,4,1,5,3,6]=>[[1,3,5,6],[2,4]]=>[2,2,2]
[4,2,5,1,6,3]=>[4,5,2,6,1,3]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[4,2,5,3,1,6]=>[4,5,2,3,1,6]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[4,2,5,3,6,1]=>[4,5,2,3,6,1]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[4,2,5,6,1,3]=>[2,4,1,5,6,3]=>[[1,3,5,6],[2,4]]=>[2,2,2]
[4,2,5,6,3,1]=>[4,5,2,6,3,1]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[4,2,6,1,3,5]=>[2,4,1,3,6,5]=>[[1,3,5],[2,4,6]]=>[2,2,2]
[4,2,6,1,5,3]=>[4,6,2,1,5,3]=>[[1,3],[2,5],[4,6]]=>[2,2,2]
[4,2,6,3,1,5]=>[4,2,6,3,1,5]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[4,2,6,3,5,1]=>[4,2,6,3,5,1]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[4,2,6,5,1,3]=>[2,6,4,1,5,3]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[4,2,6,5,3,1]=>[6,4,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>[2,2,2]
[4,3,1,2,5,6]=>[1,4,3,2,5,6]=>[[1,2,5,6],[3],[4]]=>[4,2]
[4,3,1,2,6,5]=>[6,1,4,3,2,5]=>[[1,2,5],[3],[4],[6]]=>[4,2]
[4,3,1,5,2,6]=>[4,3,5,1,2,6]=>[[1,2,6],[3,5],[4]]=>[4,2]
[4,3,1,5,6,2]=>[4,3,5,1,6,2]=>[[1,2,6],[3,5],[4]]=>[4,2]
[4,3,1,6,2,5]=>[4,3,1,6,2,5]=>[[1,2,5],[3,6],[4]]=>[4,2]
[4,3,1,6,5,2]=>[6,4,3,5,1,2]=>[[1,2],[3,5],[4],[6]]=>[4,2]
[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4]]=>[4,2]
[4,3,2,1,6,5]=>[6,4,3,2,1,5]=>[[1,5],[2],[3],[4],[6]]=>[4,2]
[4,3,2,5,1,6]=>[4,3,2,5,1,6]=>[[1,5,6],[2],[3],[4]]=>[4,2]
[4,3,2,5,6,1]=>[4,3,2,5,6,1]=>[[1,5,6],[2],[3],[4]]=>[4,2]
[4,3,2,6,1,5]=>[4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4]]=>[4,2]
[4,3,2,6,5,1]=>[6,4,3,2,5,1]=>[[1,5],[2],[3],[4],[6]]=>[4,2]
[4,3,5,1,2,6]=>[1,4,3,5,2,6]=>[[1,2,5,6],[3],[4]]=>[4,2]
[4,3,5,1,6,2]=>[4,3,5,6,1,2]=>[[1,2,6],[3,5],[4]]=>[4,2]
[4,3,5,2,1,6]=>[4,3,5,2,1,6]=>[[1,5,6],[2],[3],[4]]=>[4,2]
[4,3,5,2,6,1]=>[4,3,5,2,6,1]=>[[1,5,6],[2],[3],[4]]=>[4,2]
[4,3,5,6,1,2]=>[1,4,3,5,6,2]=>[[1,2,5,6],[3],[4]]=>[4,2]
[4,3,5,6,2,1]=>[4,3,5,6,2,1]=>[[1,5,6],[2],[3],[4]]=>[4,2]
[4,3,6,1,2,5]=>[1,4,3,2,6,5]=>[[1,2,5],[3,6],[4]]=>[4,2]
[4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[1,2],[3,5],[4,6]]=>[4,2]
[4,3,6,2,1,5]=>[4,3,2,6,1,5]=>[[1,5],[2,6],[3],[4]]=>[4,2]
[4,3,6,2,5,1]=>[4,3,2,6,5,1]=>[[1,5],[2,6],[3],[4]]=>[4,2]
[4,3,6,5,1,2]=>[1,6,4,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[4,2]
[4,3,6,5,2,1]=>[6,4,3,5,2,1]=>[[1,5],[2],[3],[4],[6]]=>[4,2]
[4,5,1,2,3,6]=>[1,2,4,5,3,6]=>[[1,2,3,5,6],[4]]=>[4,2]
[4,5,1,2,6,3]=>[4,1,5,6,2,3]=>[[1,2,3],[4,5,6]]=>[4,2]
[4,5,1,3,2,6]=>[4,1,5,3,2,6]=>[[1,2,6],[3,5],[4]]=>[4,2]
[4,5,1,3,6,2]=>[4,1,5,3,6,2]=>[[1,2,6],[3,5],[4]]=>[4,2]
[4,5,1,6,2,3]=>[1,4,5,6,2,3]=>[[1,2,3,6],[4,5]]=>[4,2]
[4,5,1,6,3,2]=>[4,5,6,3,1,2]=>[[1,2,6],[3,5],[4]]=>[4,2]
[4,5,2,1,3,6]=>[2,4,5,1,3,6]=>[[1,3,5,6],[2,4]]=>[2,2,2]
[4,5,2,1,6,3]=>[4,5,6,2,1,3]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[4,5,2,3,1,6]=>[2,4,5,3,1,6]=>[[1,3,5,6],[2],[4]]=>[2,2,2]
[4,5,2,3,6,1]=>[2,4,5,3,6,1]=>[[1,3,5,6],[2],[4]]=>[2,2,2]
[4,5,2,6,1,3]=>[2,4,5,1,6,3]=>[[1,3,5,6],[2,4]]=>[2,2,2]
[4,5,2,6,3,1]=>[4,5,6,2,3,1]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[4,5,3,1,2,6]=>[1,4,5,3,2,6]=>[[1,2,5,6],[3],[4]]=>[4,2]
[4,5,3,1,6,2]=>[4,5,3,6,1,2]=>[[1,2,6],[3,5],[4]]=>[4,2]
[4,5,3,2,1,6]=>[4,5,3,2,1,6]=>[[1,5,6],[2],[3],[4]]=>[4,2]
[4,5,3,2,6,1]=>[4,5,3,2,6,1]=>[[1,5,6],[2],[3],[4]]=>[4,2]
[4,5,3,6,1,2]=>[1,4,5,3,6,2]=>[[1,2,5,6],[3],[4]]=>[4,2]
[4,5,3,6,2,1]=>[4,5,3,6,2,1]=>[[1,5,6],[2],[3],[4]]=>[4,2]
[4,5,6,1,2,3]=>[1,2,4,5,6,3]=>[[1,2,3,5,6],[4]]=>[4,2]
[4,5,6,1,3,2]=>[4,1,5,6,3,2]=>[[1,2,6],[3,5],[4]]=>[4,2]
[4,5,6,2,1,3]=>[2,4,5,6,1,3]=>[[1,3,5,6],[2,4]]=>[2,2,2]
[4,5,6,2,3,1]=>[2,4,5,6,3,1]=>[[1,3,5,6],[2],[4]]=>[2,2,2]
[4,5,6,3,1,2]=>[1,4,5,6,3,2]=>[[1,2,5,6],[3],[4]]=>[4,2]
[4,5,6,3,2,1]=>[4,5,6,3,2,1]=>[[1,5,6],[2],[3],[4]]=>[4,2]
[4,6,1,2,3,5]=>[1,2,4,3,6,5]=>[[1,2,3,5],[4,6]]=>[4,2]
[4,6,1,2,5,3]=>[4,1,6,2,5,3]=>[[1,2,3],[4,5],[6]]=>[4,2]
[4,6,1,3,2,5]=>[4,1,3,6,2,5]=>[[1,2,5],[3,6],[4]]=>[4,2]
[4,6,1,3,5,2]=>[4,1,3,6,5,2]=>[[1,2,5],[3,6],[4]]=>[4,2]
[4,6,1,5,2,3]=>[1,4,6,2,5,3]=>[[1,2,3],[4,5],[6]]=>[4,2]
[4,6,1,5,3,2]=>[4,6,5,1,3,2]=>[[1,2],[3,5],[4],[6]]=>[4,2]
[4,6,2,1,3,5]=>[2,4,1,6,3,5]=>[[1,3,5],[2,4,6]]=>[2,2,2]
[4,6,2,1,5,3]=>[4,6,2,5,1,3]=>[[1,3],[2,5],[4,6]]=>[2,2,2]
[4,6,2,3,1,5]=>[2,4,3,6,1,5]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[4,6,2,3,5,1]=>[2,4,3,6,5,1]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[4,6,2,5,1,3]=>[2,4,1,6,5,3]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[1,3],[2,5],[4],[6]]=>[2,2,2]
[4,6,3,1,2,5]=>[1,4,3,6,2,5]=>[[1,2,5],[3,6],[4]]=>[4,2]
[4,6,3,1,5,2]=>[4,3,6,5,1,2]=>[[1,2],[3,5],[4,6]]=>[4,2]
[4,6,3,2,1,5]=>[4,3,6,2,1,5]=>[[1,5],[2,6],[3],[4]]=>[4,2]
[4,6,3,2,5,1]=>[4,3,6,2,5,1]=>[[1,5],[2,6],[3],[4]]=>[4,2]
[4,6,3,5,1,2]=>[1,4,3,6,5,2]=>[[1,2,5],[3,6],[4]]=>[4,2]
[4,6,3,5,2,1]=>[4,3,6,5,2,1]=>[[1,5],[2,6],[3],[4]]=>[4,2]
[4,6,5,1,2,3]=>[1,2,6,4,5,3]=>[[1,2,3,5],[4],[6]]=>[4,2]
[4,6,5,1,3,2]=>[6,1,4,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[4,2]
[4,6,5,2,1,3]=>[2,6,4,5,1,3]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[4,6,5,2,3,1]=>[2,6,4,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[2,2,2]
[4,6,5,3,1,2]=>[1,6,4,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[4,2]
[4,6,5,3,2,1]=>[6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6]]=>[4,2]
[5,1,2,3,4,6]=>[1,2,3,5,4,6]=>[[1,2,3,4,6],[5]]=>[5,1]
[5,1,2,3,6,4]=>[5,1,2,6,3,4]=>[[1,2,3,4],[5,6]]=>[5,1]
[5,1,2,4,3,6]=>[5,1,2,4,3,6]=>[[1,2,3,6],[4],[5]]=>[5,1]
[5,1,2,4,6,3]=>[5,1,2,4,6,3]=>[[1,2,3,6],[4],[5]]=>[5,1]
[5,1,2,6,3,4]=>[1,5,2,6,3,4]=>[[1,2,3,4],[5,6]]=>[5,1]
[5,1,2,6,4,3]=>[5,6,1,4,2,3]=>[[1,2,3],[4,6],[5]]=>[5,1]
[5,1,3,2,4,6]=>[1,5,3,2,4,6]=>[[1,2,4,6],[3],[5]]=>[3,2,1]
[5,1,3,2,6,4]=>[5,6,1,3,2,4]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[5,1,3,4,2,6]=>[3,1,5,4,2,6]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[5,1,3,4,6,2]=>[3,1,5,4,6,2]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[5,1,3,6,2,4]=>[1,5,3,2,6,4]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[5,1,3,6,4,2]=>[5,6,1,3,4,2]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[5,1,4,2,3,6]=>[1,5,2,4,3,6]=>[[1,2,3,6],[4],[5]]=>[5,1]
[5,1,4,2,6,3]=>[5,4,1,6,2,3]=>[[1,2,3],[4,6],[5]]=>[5,1]
[5,1,4,3,2,6]=>[5,4,1,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[5,1]
[5,1,4,3,6,2]=>[5,4,1,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[5,1]
[5,1,4,6,2,3]=>[1,5,2,4,6,3]=>[[1,2,3,6],[4],[5]]=>[5,1]
[5,1,4,6,3,2]=>[5,4,1,6,3,2]=>[[1,2],[3,6],[4],[5]]=>[5,1]
[5,1,6,2,3,4]=>[1,2,5,6,3,4]=>[[1,2,3,4],[5,6]]=>[5,1]
[5,1,6,2,4,3]=>[5,1,6,4,2,3]=>[[1,2,3],[4,6],[5]]=>[5,1]
[5,1,6,3,2,4]=>[3,5,6,1,2,4]=>[[1,2,4],[3,5,6]]=>[3,2,1]
[5,1,6,3,4,2]=>[5,1,6,3,4,2]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[5,1,6,4,2,3]=>[1,5,6,4,2,3]=>[[1,2,3],[4,6],[5]]=>[5,1]
[5,1,6,4,3,2]=>[5,6,4,3,1,2]=>[[1,2],[3,6],[4],[5]]=>[5,1]
[5,2,1,3,4,6]=>[2,1,5,3,4,6]=>[[1,3,4,6],[2,5]]=>[2,3,1]
[5,2,1,3,6,4]=>[5,2,6,1,3,4]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[5,2,1,4,3,6]=>[5,2,4,1,3,6]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[5,2,1,4,6,3]=>[5,2,4,1,6,3]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[5,2,1,6,3,4]=>[2,5,6,1,3,4]=>[[1,3,4],[2,5,6]]=>[2,3,1]
[5,2,1,6,4,3]=>[5,6,4,2,1,3]=>[[1,3],[2,6],[4],[5]]=>[2,3,1]
[5,2,3,1,4,6]=>[2,3,5,1,4,6]=>[[1,3,4,6],[2,5]]=>[2,3,1]
[5,2,3,1,6,4]=>[5,2,6,3,1,4]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[5,2,3,4,1,6]=>[2,3,5,4,1,6]=>[[1,3,4,6],[2],[5]]=>[2,3,1]
[5,2,3,4,6,1]=>[2,3,5,4,6,1]=>[[1,3,4,6],[2],[5]]=>[2,3,1]
[5,2,3,6,1,4]=>[2,3,5,1,6,4]=>[[1,3,4,6],[2,5]]=>[2,3,1]
[5,2,3,6,4,1]=>[5,2,6,3,4,1]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[5,2,4,1,3,6]=>[2,1,5,4,3,6]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[5,2,4,1,6,3]=>[5,2,4,6,1,3]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[5,2,4,3,1,6]=>[5,2,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[2,3,1]
[5,2,4,3,6,1]=>[5,2,4,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[2,3,1]
[5,2,4,6,1,3]=>[2,1,5,4,6,3]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[5,2,4,6,3,1]=>[5,2,4,6,3,1]=>[[1,3,6],[2],[4],[5]]=>[2,3,1]
[5,2,6,1,3,4]=>[2,1,5,3,6,4]=>[[1,3,4],[2,5,6]]=>[2,3,1]
[5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[1,3],[2,4],[5,6]]=>[2,3,1]
[5,2,6,3,1,4]=>[2,5,6,3,1,4]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[5,2,6,3,4,1]=>[2,5,6,3,4,1]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[5,2,6,4,1,3]=>[2,5,6,1,4,3]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[5,2,6,4,3,1]=>[5,6,4,2,3,1]=>[[1,3],[2,6],[4],[5]]=>[2,3,1]
[5,3,1,2,4,6]=>[1,3,5,2,4,6]=>[[1,2,4,6],[3,5]]=>[3,2,1]
[5,3,1,2,6,4]=>[5,1,6,3,2,4]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[5,3,1,4,2,6]=>[3,5,4,1,2,6]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[5,3,1,4,6,2]=>[3,5,4,1,6,2]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[5,3,1,6,2,4]=>[3,5,1,6,2,4]=>[[1,2,4],[3,5,6]]=>[3,2,1]
[5,3,1,6,4,2]=>[5,6,3,4,1,2]=>[[1,2],[3,4],[5,6]]=>[3,2,1]
[5,3,2,1,4,6]=>[3,5,2,1,4,6]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[5,3,2,1,6,4]=>[5,6,3,2,1,4]=>[[1,4],[2,6],[3],[5]]=>[3,2,1]
[5,3,2,4,1,6]=>[3,5,2,4,1,6]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[5,3,2,4,6,1]=>[3,5,2,4,6,1]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[5,3,2,6,1,4]=>[3,5,2,1,6,4]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[5,3,2,6,4,1]=>[5,6,3,2,4,1]=>[[1,4],[2,6],[3],[5]]=>[3,2,1]
[5,3,4,1,2,6]=>[1,3,5,4,2,6]=>[[1,2,4,6],[3],[5]]=>[3,2,1]
[5,3,4,1,6,2]=>[3,5,4,6,1,2]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[5,3,4,2,1,6]=>[3,5,4,2,1,6]=>[[1,4,6],[2],[3],[5]]=>[3,2,1]
[5,3,4,2,6,1]=>[3,5,4,2,6,1]=>[[1,4,6],[2],[3],[5]]=>[3,2,1]
[5,3,4,6,1,2]=>[1,3,5,4,6,2]=>[[1,2,4,6],[3],[5]]=>[3,2,1]
[5,3,4,6,2,1]=>[3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5]]=>[3,2,1]
[5,3,6,1,2,4]=>[1,3,5,2,6,4]=>[[1,2,4,6],[3,5]]=>[3,2,1]
[5,3,6,1,4,2]=>[3,5,6,1,4,2]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[5,3,6,2,1,4]=>[3,5,2,6,1,4]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[5,3,6,2,4,1]=>[3,5,2,6,4,1]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[5,3,6,4,1,2]=>[1,5,6,3,4,2]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[5,3,6,4,2,1]=>[5,6,3,4,2,1]=>[[1,4],[2,6],[3],[5]]=>[3,2,1]
[5,4,1,2,3,6]=>[1,2,5,4,3,6]=>[[1,2,3,6],[4],[5]]=>[5,1]
[5,4,1,2,6,3]=>[5,1,4,6,2,3]=>[[1,2,3],[4,6],[5]]=>[5,1]
[5,4,1,3,2,6]=>[5,1,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[5,1]
[5,4,1,3,6,2]=>[5,1,4,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[5,1]
[5,4,1,6,2,3]=>[1,5,4,6,2,3]=>[[1,2,3],[4,6],[5]]=>[5,1]
[5,4,1,6,3,2]=>[5,4,6,3,1,2]=>[[1,2],[3,6],[4],[5]]=>[5,1]
[5,4,2,1,3,6]=>[2,5,4,1,3,6]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[5,4,2,1,6,3]=>[5,4,6,2,1,3]=>[[1,3],[2,6],[4],[5]]=>[2,3,1]
[5,4,2,3,1,6]=>[2,5,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[2,3,1]
[5,4,2,3,6,1]=>[2,5,4,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[2,3,1]
[5,4,2,6,1,3]=>[2,5,4,1,6,3]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[5,4,2,6,3,1]=>[5,4,6,2,3,1]=>[[1,3],[2,6],[4],[5]]=>[2,3,1]
[5,4,3,1,2,6]=>[1,5,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[5,1]
[5,4,3,1,6,2]=>[5,4,3,6,1,2]=>[[1,2],[3,6],[4],[5]]=>[5,1]
[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5]]=>[5,1]
[5,4,3,2,6,1]=>[5,4,3,2,6,1]=>[[1,6],[2],[3],[4],[5]]=>[5,1]
[5,4,3,6,1,2]=>[1,5,4,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[5,1]
[5,4,3,6,2,1]=>[5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5]]=>[5,1]
[5,4,6,1,2,3]=>[1,2,5,4,6,3]=>[[1,2,3,6],[4],[5]]=>[5,1]
[5,4,6,1,3,2]=>[5,1,4,6,3,2]=>[[1,2,6],[3],[4],[5]]=>[5,1]
[5,4,6,2,1,3]=>[2,5,4,6,1,3]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[5,4,6,2,3,1]=>[2,5,4,6,3,1]=>[[1,3,6],[2],[4],[5]]=>[2,3,1]
[5,4,6,3,1,2]=>[1,5,4,6,3,2]=>[[1,2,6],[3],[4],[5]]=>[5,1]
[5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[[1,6],[2],[3],[4],[5]]=>[5,1]
[5,6,1,2,3,4]=>[1,2,3,5,6,4]=>[[1,2,3,4,6],[5]]=>[5,1]
[5,6,1,2,4,3]=>[5,1,2,6,4,3]=>[[1,2,3],[4,6],[5]]=>[5,1]
[5,6,1,3,2,4]=>[1,5,3,6,2,4]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[5,6,1,3,4,2]=>[3,1,5,6,4,2]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[5,6,1,4,2,3]=>[1,5,2,6,4,3]=>[[1,2,3],[4,6],[5]]=>[5,1]
[5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[1,2],[3,6],[4],[5]]=>[5,1]
[5,6,2,1,3,4]=>[2,1,5,6,3,4]=>[[1,3,4],[2,5,6]]=>[2,3,1]
[5,6,2,1,4,3]=>[5,2,6,4,1,3]=>[[1,3],[2,4],[5,6]]=>[2,3,1]
[5,6,2,3,1,4]=>[2,3,5,6,1,4]=>[[1,3,4,6],[2,5]]=>[2,3,1]
[5,6,2,3,4,1]=>[2,3,5,6,4,1]=>[[1,3,4,6],[2],[5]]=>[2,3,1]
[5,6,2,4,1,3]=>[2,1,5,6,4,3]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[5,6,2,4,3,1]=>[5,2,6,4,3,1]=>[[1,3],[2,6],[4],[5]]=>[2,3,1]
[5,6,3,1,2,4]=>[1,3,5,6,2,4]=>[[1,2,4,6],[3,5]]=>[3,2,1]
[5,6,3,1,4,2]=>[3,5,6,4,1,2]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[5,6,3,2,1,4]=>[3,5,6,2,1,4]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[5,6,3,2,4,1]=>[3,5,6,2,4,1]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[5,6,3,4,1,2]=>[1,3,5,6,4,2]=>[[1,2,4,6],[3],[5]]=>[3,2,1]
[5,6,3,4,2,1]=>[3,5,6,4,2,1]=>[[1,4,6],[2],[3],[5]]=>[3,2,1]
[5,6,4,1,2,3]=>[1,2,5,6,4,3]=>[[1,2,3,6],[4],[5]]=>[5,1]
[5,6,4,1,3,2]=>[5,1,6,4,3,2]=>[[1,2],[3,6],[4],[5]]=>[5,1]
[5,6,4,2,1,3]=>[2,5,6,4,1,3]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[5,6,4,2,3,1]=>[2,5,6,4,3,1]=>[[1,3,6],[2],[4],[5]]=>[2,3,1]
[5,6,4,3,1,2]=>[1,5,6,4,3,2]=>[[1,2,6],[3],[4],[5]]=>[5,1]
[5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5]]=>[5,1]
[6,1,2,3,4,5]=>[1,2,3,4,6,5]=>[[1,2,3,4,5],[6]]=>[6]
[6,1,2,3,5,4]=>[6,1,2,3,5,4]=>[[1,2,3,4],[5],[6]]=>[6]
[6,1,2,4,3,5]=>[1,6,2,4,3,5]=>[[1,2,3,5],[4],[6]]=>[4,2]
[6,1,2,4,5,3]=>[4,1,2,6,5,3]=>[[1,2,3],[4,5],[6]]=>[4,2]
[6,1,2,5,3,4]=>[1,6,2,3,5,4]=>[[1,2,3,4],[5],[6]]=>[6]
[6,1,2,5,4,3]=>[6,5,1,2,4,3]=>[[1,2,3],[4],[5],[6]]=>[6]
[6,1,3,2,4,5]=>[1,3,6,2,4,5]=>[[1,2,4,5],[3,6]]=>[3,3]
[6,1,3,2,5,4]=>[6,1,5,3,2,4]=>[[1,2,4],[3],[5],[6]]=>[3,3]
[6,1,3,4,2,5]=>[3,1,4,6,2,5]=>[[1,2,5],[3,4,6]]=>[3,3]
[6,1,3,4,5,2]=>[3,1,4,6,5,2]=>[[1,2,5],[3,4],[6]]=>[3,3]
[6,1,3,5,2,4]=>[3,1,2,6,5,4]=>[[1,2,4],[3,5],[6]]=>[3,3]
[6,1,3,5,4,2]=>[6,3,1,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[3,3]
[6,1,4,2,3,5]=>[1,2,6,4,3,5]=>[[1,2,3,5],[4],[6]]=>[4,2]
[6,1,4,2,5,3]=>[6,1,4,5,2,3]=>[[1,2,3],[4,5],[6]]=>[4,2]
[6,1,4,3,2,5]=>[4,6,1,3,2,5]=>[[1,2,5],[3,6],[4]]=>[4,2]
[6,1,4,3,5,2]=>[6,1,4,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[4,2]
[6,1,4,5,2,3]=>[1,4,2,6,5,3]=>[[1,2,3],[4,5],[6]]=>[4,2]
[6,1,4,5,3,2]=>[4,6,1,5,3,2]=>[[1,2],[3,5],[4],[6]]=>[4,2]
[6,1,5,2,3,4]=>[1,2,6,3,5,4]=>[[1,2,3,4],[5],[6]]=>[6]
[6,1,5,2,4,3]=>[6,1,5,2,4,3]=>[[1,2,3],[4],[5],[6]]=>[6]
[6,1,5,3,2,4]=>[1,6,5,3,2,4]=>[[1,2,4],[3],[5],[6]]=>[3,3]
[6,1,5,3,4,2]=>[6,1,3,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[3,3]
[6,1,5,4,2,3]=>[1,6,5,2,4,3]=>[[1,2,3],[4],[5],[6]]=>[6]
[6,1,5,4,3,2]=>[6,5,4,1,3,2]=>[[1,2],[3],[4],[5],[6]]=>[6]
[6,2,1,3,4,5]=>[2,1,3,6,4,5]=>[[1,3,4,5],[2,6]]=>[2,4]
[6,2,1,3,5,4]=>[6,2,1,5,3,4]=>[[1,3,4],[2,5],[6]]=>[2,4]
[6,2,1,4,3,5]=>[2,6,4,1,3,5]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[6,2,1,4,5,3]=>[6,2,1,4,5,3]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[6,2,1,5,3,4]=>[2,6,1,5,3,4]=>[[1,3,4],[2,5],[6]]=>[2,4]
[6,2,1,5,4,3]=>[6,5,2,4,1,3]=>[[1,3],[2,4],[5],[6]]=>[2,4]
[6,2,3,1,4,5]=>[2,3,1,6,4,5]=>[[1,3,4,5],[2,6]]=>[2,4]
[6,2,3,1,5,4]=>[6,2,3,5,1,4]=>[[1,3,4],[2,5],[6]]=>[2,4]
[6,2,3,4,1,5]=>[2,3,4,6,1,5]=>[[1,3,4,5],[2,6]]=>[2,4]
[6,2,3,4,5,1]=>[2,3,4,6,5,1]=>[[1,3,4,5],[2],[6]]=>[2,4]
[6,2,3,5,1,4]=>[2,3,1,6,5,4]=>[[1,3,4],[2,5],[6]]=>[2,4]
[6,2,3,5,4,1]=>[6,2,3,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[2,4]
[6,2,4,1,3,5]=>[2,1,4,6,3,5]=>[[1,3,5],[2,4,6]]=>[2,2,2]
[6,2,4,1,5,3]=>[4,2,6,5,1,3]=>[[1,3],[2,5],[4,6]]=>[2,2,2]
[6,2,4,3,1,5]=>[2,6,4,3,1,5]=>[[1,3,5],[2],[4],[6]]=>[2,2,2]
[6,2,4,3,5,1]=>[2,6,4,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[2,2,2]
[6,2,4,5,1,3]=>[2,1,4,6,5,3]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[6,2,4,5,3,1]=>[4,2,6,5,3,1]=>[[1,3],[2,5],[4],[6]]=>[2,2,2]
[6,2,5,1,3,4]=>[2,1,3,6,5,4]=>[[1,3,4],[2,5],[6]]=>[2,4]
[6,2,5,1,4,3]=>[6,2,1,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[2,4]
[6,2,5,3,1,4]=>[2,6,3,5,1,4]=>[[1,3,4],[2,5],[6]]=>[2,4]
[6,2,5,3,4,1]=>[2,6,3,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[2,4]
[6,2,5,4,1,3]=>[2,6,1,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[2,4]
[6,2,5,4,3,1]=>[6,5,2,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[2,4]
[6,3,1,2,4,5]=>[1,3,2,6,4,5]=>[[1,2,4,5],[3,6]]=>[3,3]
[6,3,1,2,5,4]=>[6,1,3,5,2,4]=>[[1,2,4],[3,5],[6]]=>[3,3]
[6,3,1,4,2,5]=>[3,4,6,1,2,5]=>[[1,2,5],[3,4,6]]=>[3,3]
[6,3,1,4,5,2]=>[3,6,1,4,5,2]=>[[1,2,5],[3,4],[6]]=>[3,3]
[6,3,1,5,2,4]=>[3,1,6,5,2,4]=>[[1,2,4],[3,5],[6]]=>[3,3]
[6,3,1,5,4,2]=>[6,3,5,4,1,2]=>[[1,2],[3,4],[5],[6]]=>[3,3]
[6,3,2,1,4,5]=>[3,2,6,1,4,5]=>[[1,4,5],[2,6],[3]]=>[3,3]
[6,3,2,1,5,4]=>[6,3,5,2,1,4]=>[[1,4],[2,5],[3],[6]]=>[3,3]
[6,3,2,4,1,5]=>[3,2,6,4,1,5]=>[[1,4,5],[2,6],[3]]=>[3,3]
[6,3,2,4,5,1]=>[3,2,6,4,5,1]=>[[1,4,5],[2,6],[3]]=>[3,3]
[6,3,2,5,1,4]=>[3,2,6,1,5,4]=>[[1,4],[2,5],[3,6]]=>[3,3]
[6,3,2,5,4,1]=>[6,3,5,2,4,1]=>[[1,4],[2,5],[3],[6]]=>[3,3]
[6,3,4,1,2,5]=>[1,3,4,6,2,5]=>[[1,2,4,5],[3,6]]=>[3,3]
[6,3,4,1,5,2]=>[3,4,6,5,1,2]=>[[1,2,5],[3,4],[6]]=>[3,3]
[6,3,4,2,1,5]=>[3,4,6,2,1,5]=>[[1,4,5],[2,6],[3]]=>[3,3]
[6,3,4,2,5,1]=>[3,4,6,2,5,1]=>[[1,4,5],[2,6],[3]]=>[3,3]
[6,3,4,5,1,2]=>[1,3,4,6,5,2]=>[[1,2,4,5],[3],[6]]=>[3,3]
[6,3,4,5,2,1]=>[3,4,6,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[3,3]
[6,3,5,1,2,4]=>[1,3,2,6,5,4]=>[[1,2,4],[3,5],[6]]=>[3,3]
[6,3,5,1,4,2]=>[3,6,1,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[3,3]
[6,3,5,2,1,4]=>[3,2,6,5,1,4]=>[[1,4],[2,5],[3,6]]=>[3,3]
[6,3,5,2,4,1]=>[3,2,6,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[3,3]
[6,3,5,4,1,2]=>[1,6,3,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[3,3]
[6,3,5,4,2,1]=>[6,3,5,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[3,3]
[6,4,1,2,3,5]=>[1,2,4,6,3,5]=>[[1,2,3,5],[4,6]]=>[4,2]
[6,4,1,2,5,3]=>[4,1,6,5,2,3]=>[[1,2,3],[4,5],[6]]=>[4,2]
[6,4,1,3,2,5]=>[1,6,4,3,2,5]=>[[1,2,5],[3],[4],[6]]=>[4,2]
[6,4,1,3,5,2]=>[4,1,6,3,5,2]=>[[1,2,5],[3,6],[4]]=>[4,2]
[6,4,1,5,2,3]=>[1,4,6,5,2,3]=>[[1,2,3],[4,5],[6]]=>[4,2]
[6,4,1,5,3,2]=>[4,6,5,3,1,2]=>[[1,2],[3,5],[4],[6]]=>[4,2]
[6,4,2,1,3,5]=>[2,4,6,1,3,5]=>[[1,3,5],[2,4,6]]=>[2,2,2]
[6,4,2,1,5,3]=>[4,6,5,2,1,3]=>[[1,3],[2,5],[4],[6]]=>[2,2,2]
[6,4,2,3,1,5]=>[2,4,6,3,1,5]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[6,4,2,3,5,1]=>[2,4,6,3,5,1]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[6,4,2,5,1,3]=>[2,4,6,1,5,3]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[6,4,2,5,3,1]=>[4,6,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>[2,2,2]
[6,4,3,1,2,5]=>[1,4,6,3,2,5]=>[[1,2,5],[3,6],[4]]=>[4,2]
[6,4,3,1,5,2]=>[4,6,3,5,1,2]=>[[1,2],[3,5],[4,6]]=>[4,2]
[6,4,3,2,1,5]=>[4,6,3,2,1,5]=>[[1,5],[2,6],[3],[4]]=>[4,2]
[6,4,3,2,5,1]=>[4,6,3,2,5,1]=>[[1,5],[2,6],[3],[4]]=>[4,2]
[6,4,3,5,1,2]=>[1,4,6,3,5,2]=>[[1,2,5],[3,6],[4]]=>[4,2]
[6,4,3,5,2,1]=>[4,6,3,5,2,1]=>[[1,5],[2,6],[3],[4]]=>[4,2]
[6,4,5,1,2,3]=>[1,2,4,6,5,3]=>[[1,2,3,5],[4],[6]]=>[4,2]
[6,4,5,1,3,2]=>[4,1,6,5,3,2]=>[[1,2],[3,5],[4],[6]]=>[4,2]
[6,4,5,2,1,3]=>[2,4,6,5,1,3]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[6,4,5,2,3,1]=>[2,4,6,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[2,2,2]
[6,4,5,3,1,2]=>[1,4,6,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[4,2]
[6,4,5,3,2,1]=>[4,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6]]=>[4,2]
[6,5,1,2,3,4]=>[1,2,3,6,5,4]=>[[1,2,3,4],[5],[6]]=>[6]
[6,5,1,2,4,3]=>[6,1,2,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[6]
[6,5,1,3,2,4]=>[1,6,3,5,2,4]=>[[1,2,4],[3,5],[6]]=>[3,3]
[6,5,1,3,4,2]=>[3,1,6,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[3,3]
[6,5,1,4,2,3]=>[1,6,2,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[6]
[6,5,1,4,3,2]=>[6,5,1,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[6]
[6,5,2,1,3,4]=>[2,1,6,5,3,4]=>[[1,3,4],[2,5],[6]]=>[2,4]
[6,5,2,1,4,3]=>[6,2,5,4,1,3]=>[[1,3],[2,4],[5],[6]]=>[2,4]
[6,5,2,3,1,4]=>[2,3,6,5,1,4]=>[[1,3,4],[2,5],[6]]=>[2,4]
[6,5,2,3,4,1]=>[2,3,6,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[2,4]
[6,5,2,4,1,3]=>[2,1,6,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[2,4]
[6,5,2,4,3,1]=>[6,2,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[2,4]
[6,5,3,1,2,4]=>[1,3,6,5,2,4]=>[[1,2,4],[3,5],[6]]=>[3,3]
[6,5,3,1,4,2]=>[3,6,5,4,1,2]=>[[1,2],[3,4],[5],[6]]=>[3,3]
[6,5,3,2,1,4]=>[3,6,5,2,1,4]=>[[1,4],[2,5],[3],[6]]=>[3,3]
[6,5,3,2,4,1]=>[3,6,5,2,4,1]=>[[1,4],[2,5],[3],[6]]=>[3,3]
[6,5,3,4,1,2]=>[1,3,6,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[3,3]
[6,5,3,4,2,1]=>[3,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[3,3]
[6,5,4,1,2,3]=>[1,2,6,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[6]
[6,5,4,1,3,2]=>[6,1,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[6]
[6,5,4,2,1,3]=>[2,6,5,4,1,3]=>[[1,3],[2,4],[5],[6]]=>[2,4]
[6,5,4,2,3,1]=>[2,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[2,4]
[6,5,4,3,1,2]=>[1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[6]
[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6]]=>[6]
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7]]=>[7]
[1,2,3,4,5,7,6]=>[7,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[7]
[1,2,3,4,6,5,7]=>[6,1,2,3,4,5,7]=>[[1,2,3,4,5,7],[6]]=>[6,1]
[1,2,3,4,6,7,5]=>[6,1,2,3,4,7,5]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[1,2,3,4,7,5,6]=>[1,7,2,3,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[7]
[1,2,3,4,7,6,5]=>[7,6,1,2,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[7]
[1,2,3,5,4,6,7]=>[5,1,2,3,4,6,7]=>[[1,2,3,4,6,7],[5]]=>[5,2]
[1,2,3,5,4,7,6]=>[7,5,1,2,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[1,2,3,5,6,4,7]=>[5,1,2,3,6,4,7]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[1,2,3,5,6,7,4]=>[5,1,2,3,6,7,4]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[1,2,3,5,7,4,6]=>[5,1,2,3,4,7,6]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[1,2,3,5,7,6,4]=>[7,5,1,2,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[1,2,3,6,4,5,7]=>[1,6,2,3,4,5,7]=>[[1,2,3,4,5,7],[6]]=>[6,1]
[1,2,3,6,4,7,5]=>[6,7,1,2,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[1,2,3,6,5,4,7]=>[6,5,1,2,3,4,7]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[1,2,3,6,5,7,4]=>[6,5,1,2,3,7,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[1,2,3,6,7,4,5]=>[1,6,2,3,4,7,5]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[1,2,3,6,7,5,4]=>[6,7,1,2,3,5,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[1,2,3,7,4,5,6]=>[1,2,7,3,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[7]
[1,2,3,7,4,6,5]=>[7,1,6,2,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[7]
[1,2,3,7,5,4,6]=>[5,7,1,2,3,4,6]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[1,2,3,7,5,6,4]=>[7,1,5,2,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[1,2,3,7,6,4,5]=>[1,7,6,2,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[7]
[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[1,2,4,3,5,6,7]=>[4,1,2,3,5,6,7]=>[[1,2,3,5,6,7],[4]]=>[4,3]
[1,2,4,3,5,7,6]=>[7,4,1,2,3,5,6]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[1,2,4,3,6,5,7]=>[6,4,1,2,3,5,7]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[1,2,4,3,6,7,5]=>[6,4,1,2,3,7,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[1,2,4,3,7,5,6]=>[4,7,1,2,3,5,6]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[1,2,4,3,7,6,5]=>[7,6,4,1,2,3,5]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[1,2,4,5,3,6,7]=>[4,1,2,5,3,6,7]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[1,2,4,5,3,7,6]=>[7,4,1,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[1,2,4,5,6,3,7]=>[4,1,2,5,6,3,7]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[1,2,4,5,6,7,3]=>[4,1,2,5,6,7,3]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[1,2,4,5,7,3,6]=>[4,1,2,5,3,7,6]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[1,2,4,5,7,6,3]=>[7,4,1,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[1,2,4,6,3,5,7]=>[4,1,2,3,6,5,7]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[1,2,4,6,3,7,5]=>[6,4,1,2,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[1,2,4,6,5,3,7]=>[6,4,1,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[1,2,4,6,5,7,3]=>[6,4,1,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[1,2,4,6,7,3,5]=>[4,1,2,3,6,7,5]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[1,2,4,6,7,5,3]=>[6,4,1,2,7,5,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[1,2,4,7,3,5,6]=>[4,1,2,3,5,7,6]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[1,2,4,7,3,6,5]=>[7,4,1,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[1,2,4,7,5,3,6]=>[4,7,1,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[1,2,4,7,5,6,3]=>[7,1,4,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[1,2,4,7,6,3,5]=>[4,7,1,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[1,2,4,7,6,5,3]=>[7,6,4,1,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[1,2,5,3,4,6,7]=>[1,5,2,3,4,6,7]=>[[1,2,3,4,6,7],[5]]=>[5,2]
[1,2,5,3,4,7,6]=>[7,1,5,2,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[1,2,5,3,6,4,7]=>[5,6,1,2,3,4,7]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[1,2,5,3,6,7,4]=>[5,6,1,2,3,7,4]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[1,2,5,3,7,4,6]=>[5,1,7,2,3,4,6]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[1,2,5,3,7,6,4]=>[7,5,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[1,2,5,4,3,6,7]=>[5,4,1,2,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[1,2,5,4,3,7,6]=>[7,5,4,1,2,3,6]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[1,2,5,4,6,3,7]=>[5,4,1,2,6,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[1,2,5,4,6,7,3]=>[5,4,1,2,6,7,3]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[1,2,5,4,7,3,6]=>[5,4,1,2,3,7,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[1,2,5,4,7,6,3]=>[7,5,4,1,2,6,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[1,2,5,6,3,4,7]=>[1,5,2,3,6,4,7]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[1,2,5,6,3,7,4]=>[5,6,1,2,7,3,4]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[1,2,5,6,4,3,7]=>[5,6,1,2,4,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[1,2,5,6,4,7,3]=>[5,6,1,2,4,7,3]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[1,2,5,6,7,3,4]=>[1,5,2,3,6,7,4]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[1,2,5,6,7,4,3]=>[5,6,1,2,7,4,3]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[1,2,5,7,3,4,6]=>[1,5,2,3,4,7,6]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[1,2,5,7,3,6,4]=>[5,7,1,2,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[1,2,5,7,4,3,6]=>[5,1,7,2,4,3,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[1,2,5,7,4,6,3]=>[5,4,1,2,7,6,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[1,2,5,7,6,3,4]=>[1,7,5,2,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[1,2,5,7,6,4,3]=>[7,5,6,1,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[[1,2,3,4,5,7],[6]]=>[6,1]
[1,2,6,3,4,7,5]=>[6,1,7,2,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[1,2,6,3,5,4,7]=>[6,1,5,2,3,4,7]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[1,2,6,3,5,7,4]=>[6,1,5,2,3,7,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[1,2,6,3,7,4,5]=>[1,6,7,2,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[1,2,6,3,7,5,4]=>[6,7,5,1,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[1,2,6,4,3,5,7]=>[4,6,1,2,3,5,7]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[1,2,6,4,3,7,5]=>[6,7,4,1,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[1,2,6,4,5,3,7]=>[6,1,4,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[1,2,6,4,5,7,3]=>[6,1,4,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[1,2,6,4,7,3,5]=>[4,6,1,2,3,7,5]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[1,2,6,4,7,5,3]=>[6,7,4,1,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[1,2,6,5,3,4,7]=>[1,6,5,2,3,4,7]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[1,2,6,5,3,7,4]=>[6,5,7,1,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[1,2,6,5,4,3,7]=>[6,5,4,1,2,3,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[1,2,6,5,4,7,3]=>[6,5,4,1,2,7,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[1,2,6,5,7,3,4]=>[1,6,5,2,3,7,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[1,2,6,5,7,4,3]=>[6,5,7,1,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[1,2,6,7,3,4,5]=>[1,2,6,3,4,7,5]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[1,2,6,7,3,5,4]=>[6,1,7,2,3,5,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[1,2,6,7,4,3,5]=>[1,6,7,2,4,3,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[1,2,6,7,4,5,3]=>[6,1,4,2,7,5,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[1,2,6,7,5,3,4]=>[1,6,7,2,3,5,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[1,2,6,7,5,4,3]=>[6,7,5,1,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[1,2,7,3,4,5,6]=>[1,2,3,7,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[7]
[1,2,7,3,4,6,5]=>[7,1,2,6,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[7]
[1,2,7,3,5,4,6]=>[1,7,5,2,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[1,2,7,3,5,6,4]=>[7,1,2,5,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[1,2,7,3,6,4,5]=>[1,7,2,6,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[7]
[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[1,2,7,4,3,5,6]=>[4,1,7,2,3,5,6]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[1,2,7,4,3,6,5]=>[7,4,6,1,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[1,2,7,4,5,3,6]=>[1,7,4,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[1,2,7,4,5,6,3]=>[7,1,2,4,5,6,3]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[1,2,7,4,6,3,5]=>[1,7,4,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[1,2,7,4,6,5,3]=>[7,6,1,4,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[1,2,7,5,3,4,6]=>[1,5,7,2,3,4,6]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[1,2,7,5,3,6,4]=>[5,7,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[1,2,7,5,4,3,6]=>[5,7,4,1,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[1,2,7,5,4,6,3]=>[5,7,4,1,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[1,2,7,5,6,3,4]=>[1,7,2,5,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[1,2,7,5,6,4,3]=>[7,5,1,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[1,2,7,6,3,4,5]=>[1,2,7,6,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[7]
[1,2,7,6,3,5,4]=>[7,1,6,5,2,3,4]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[1,2,7,6,4,3,5]=>[4,7,6,1,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[1,2,7,6,4,5,3]=>[7,1,6,4,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[1,2,7,6,5,3,4]=>[1,7,6,5,2,3,4]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[1,2,7,6,5,4,3]=>[7,6,5,4,1,2,3]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[1,3,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>[3,4]
[1,3,2,4,5,7,6]=>[7,3,1,2,4,5,6]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[1,3,2,4,6,5,7]=>[6,3,1,2,4,5,7]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[1,3,2,4,6,7,5]=>[6,3,1,2,4,7,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[1,3,2,4,7,5,6]=>[3,7,1,2,4,5,6]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[1,3,2,4,7,6,5]=>[7,6,3,1,2,4,5]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[1,3,2,5,4,6,7]=>[5,3,1,2,4,6,7]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[1,3,2,5,4,7,6]=>[7,5,3,1,2,4,6]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[1,3,2,5,6,4,7]=>[5,3,1,2,6,4,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[1,3,2,5,6,7,4]=>[5,3,1,2,6,7,4]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[1,3,2,5,7,4,6]=>[5,3,1,2,4,7,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[1,3,2,5,7,6,4]=>[7,5,3,1,2,6,4]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[1,3,2,6,4,5,7]=>[3,6,1,2,4,5,7]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[1,3,2,6,4,7,5]=>[6,7,3,1,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[1,3,2,6,5,4,7]=>[6,5,3,1,2,4,7]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[1,3,2,6,5,7,4]=>[6,5,3,1,2,7,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[1,3,2,6,7,4,5]=>[3,6,1,2,4,7,5]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[1,3,2,6,7,5,4]=>[6,7,3,1,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[1,3,2,7,4,5,6]=>[3,1,7,2,4,5,6]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[1,3,2,7,4,6,5]=>[7,3,6,1,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[1,3,2,7,5,4,6]=>[5,7,3,1,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[1,3,2,7,5,6,4]=>[7,3,5,1,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[1,3,2,7,6,4,5]=>[3,7,6,1,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[1,3,2,7,6,5,4]=>[7,6,5,3,1,2,4]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[1,3,4,2,5,6,7]=>[3,1,4,2,5,6,7]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[1,3,4,2,5,7,6]=>[7,3,1,4,2,5,6]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[1,3,4,2,6,5,7]=>[6,3,1,4,2,5,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[1,3,4,2,6,7,5]=>[6,3,1,4,2,7,5]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[1,3,4,2,7,5,6]=>[3,7,1,4,2,5,6]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[1,3,4,2,7,6,5]=>[7,6,3,1,4,2,5]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[1,3,4,5,2,6,7]=>[3,1,4,5,2,6,7]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[1,3,4,5,2,7,6]=>[7,3,1,4,5,2,6]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[1,3,4,5,6,2,7]=>[3,1,4,5,6,2,7]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[1,3,4,5,6,7,2]=>[3,1,4,5,6,7,2]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[1,3,4,5,7,2,6]=>[3,1,4,5,2,7,6]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[1,3,4,5,7,6,2]=>[7,3,1,4,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[1,3,4,6,2,5,7]=>[3,1,4,2,6,5,7]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[1,3,4,6,2,7,5]=>[6,3,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[1,3,4,6,5,2,7]=>[6,3,1,4,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[1,3,4,6,5,7,2]=>[6,3,1,4,5,7,2]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[1,3,4,6,7,2,5]=>[3,1,4,2,6,7,5]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[1,3,4,6,7,5,2]=>[6,3,1,4,7,5,2]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[1,3,4,7,2,5,6]=>[3,1,4,2,5,7,6]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[1,3,4,7,2,6,5]=>[7,3,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[1,3,4,7,5,2,6]=>[3,7,1,4,5,2,6]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[1,3,4,7,5,6,2]=>[7,1,3,4,5,6,2]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[1,3,4,7,6,2,5]=>[3,7,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[1,3,4,7,6,5,2]=>[7,6,3,1,4,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[1,3,5,2,4,6,7]=>[3,1,2,5,4,6,7]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[1,3,5,2,4,7,6]=>[7,3,1,2,5,4,6]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[1,3,5,2,6,4,7]=>[5,3,1,6,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[1,3,5,2,6,7,4]=>[5,3,1,6,2,7,4]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[1,3,5,2,7,4,6]=>[5,3,1,2,7,4,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[1,3,5,2,7,6,4]=>[7,5,3,1,6,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[1,3,5,4,2,6,7]=>[5,3,1,4,2,6,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[1,3,5,4,2,7,6]=>[7,5,3,1,4,2,6]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[1,3,5,4,6,2,7]=>[5,3,1,4,6,2,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[1,3,5,4,6,7,2]=>[5,3,1,4,6,7,2]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[1,3,5,4,7,2,6]=>[5,3,1,4,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[1,3,5,4,7,6,2]=>[7,5,3,1,4,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[1,3,5,6,2,4,7]=>[3,1,2,5,6,4,7]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[1,3,5,6,2,7,4]=>[5,3,1,6,7,2,4]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[1,3,5,6,4,2,7]=>[5,3,1,6,4,2,7]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[1,3,5,6,4,7,2]=>[5,3,1,6,4,7,2]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[1,3,5,6,7,2,4]=>[3,1,2,5,6,7,4]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[1,3,5,6,7,4,2]=>[5,3,1,6,7,4,2]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[1,3,5,7,2,4,6]=>[3,1,2,5,4,7,6]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[1,3,5,7,2,6,4]=>[5,3,1,7,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[1,3,5,7,4,2,6]=>[5,3,1,4,7,2,6]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[1,3,5,7,4,6,2]=>[5,3,1,4,7,6,2]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[1,3,5,7,6,2,4]=>[3,7,1,2,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[1,3,5,7,6,4,2]=>[7,5,3,1,6,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[1,3,6,2,4,5,7]=>[3,1,2,4,6,5,7]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[1,3,6,2,4,7,5]=>[6,3,1,2,7,4,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[1,3,6,2,5,4,7]=>[6,3,1,2,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[1,3,6,2,5,7,4]=>[6,3,1,2,5,7,4]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[1,3,6,2,7,4,5]=>[3,6,1,2,7,4,5]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[1,3,6,2,7,5,4]=>[6,7,3,1,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[1,3,6,4,2,5,7]=>[3,6,1,4,2,5,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[1,3,6,4,2,7,5]=>[6,7,3,1,4,2,5]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[1,3,6,4,5,2,7]=>[6,1,3,4,5,2,7]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[1,3,6,4,5,7,2]=>[6,1,3,4,5,7,2]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[1,3,6,4,7,2,5]=>[3,6,1,4,2,7,5]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[1,3,6,4,7,5,2]=>[6,7,3,1,4,5,2]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[1,3,6,5,2,4,7]=>[3,6,1,2,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[1,3,6,5,2,7,4]=>[6,5,3,1,7,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[1,3,6,5,4,2,7]=>[6,5,3,1,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[1,3,6,5,4,7,2]=>[6,5,3,1,4,7,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[1,3,6,5,7,2,4]=>[3,6,1,2,5,7,4]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[1,3,6,5,7,4,2]=>[6,5,3,1,7,4,2]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[1,3,6,7,2,4,5]=>[3,1,2,4,6,7,5]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[1,3,6,7,2,5,4]=>[6,3,1,2,7,5,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[1,3,6,7,4,2,5]=>[3,6,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[1,3,6,7,4,5,2]=>[6,1,3,4,7,5,2]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[1,3,6,7,5,2,4]=>[3,6,1,2,7,5,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[1,3,6,7,5,4,2]=>[6,7,3,1,5,4,2]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[1,3,7,2,4,5,6]=>[3,1,2,4,5,7,6]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[1,3,7,2,4,6,5]=>[7,3,1,2,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[1,3,7,2,5,4,6]=>[3,7,1,2,5,4,6]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[1,3,7,2,5,6,4]=>[5,3,1,2,7,6,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[1,3,7,2,6,4,5]=>[3,7,1,2,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[1,3,7,2,6,5,4]=>[7,6,3,1,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[1,3,7,4,2,5,6]=>[3,1,7,4,2,5,6]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[1,3,7,4,2,6,5]=>[7,3,6,1,4,2,5]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[1,3,7,4,5,2,6]=>[1,7,3,4,5,2,6]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[1,3,7,4,5,6,2]=>[3,1,7,4,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[1,3,7,4,6,2,5]=>[1,7,3,4,2,6,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[1,3,7,4,6,5,2]=>[7,6,1,3,4,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[1,3,7,5,2,4,6]=>[3,1,7,2,5,4,6]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[1,3,7,5,2,6,4]=>[7,3,5,1,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[1,3,7,5,4,2,6]=>[5,7,3,1,4,2,6]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[1,3,7,5,4,6,2]=>[5,7,3,1,4,6,2]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[1,3,7,5,6,2,4]=>[1,7,3,2,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[1,3,7,5,6,4,2]=>[7,5,1,3,6,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[1,3,7,6,2,4,5]=>[3,1,7,2,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[1,3,7,6,2,5,4]=>[7,3,6,1,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[1,3,7,6,4,2,5]=>[3,7,6,1,4,2,5]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[1,3,7,6,4,5,2]=>[7,1,6,3,4,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[1,3,7,6,5,2,4]=>[3,7,6,1,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[1,3,7,6,5,4,2]=>[7,6,5,3,1,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[[1,2,3,5,6,7],[4]]=>[4,3]
[1,4,2,3,5,7,6]=>[7,1,4,2,3,5,6]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[1,4,2,3,6,5,7]=>[6,1,4,2,3,5,7]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[1,4,2,3,6,7,5]=>[6,1,4,2,3,7,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[1,4,2,3,7,5,6]=>[1,7,4,2,3,5,6]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[1,4,2,3,7,6,5]=>[7,6,1,4,2,3,5]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[1,4,2,5,3,6,7]=>[4,5,1,2,3,6,7]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[1,4,2,5,3,7,6]=>[7,4,5,1,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[1,4,2,5,6,3,7]=>[4,5,1,2,6,3,7]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[1,4,2,5,6,7,3]=>[4,5,1,2,6,7,3]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[1,4,2,5,7,3,6]=>[4,5,1,2,3,7,6]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[1,4,2,5,7,6,3]=>[7,4,5,1,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[1,4,2,6,3,5,7]=>[4,1,6,2,3,5,7]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[1,4,2,6,3,7,5]=>[6,4,7,1,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[1,4,2,6,5,3,7]=>[6,4,5,1,2,3,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[1,4,2,6,5,7,3]=>[6,4,5,1,2,7,3]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[1,4,2,6,7,3,5]=>[4,1,6,2,3,7,5]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[1,4,2,6,7,5,3]=>[6,4,7,1,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[1,4,2,7,3,5,6]=>[4,1,2,7,3,5,6]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[1,4,2,7,3,6,5]=>[7,4,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[1,4,2,7,5,3,6]=>[4,7,5,1,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[1,4,2,7,5,6,3]=>[4,7,5,1,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[1,4,2,7,6,3,5]=>[4,7,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[1,4,2,7,6,5,3]=>[7,6,4,5,1,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[1,4,3,2,5,6,7]=>[4,3,1,2,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[1,4,3,2,5,7,6]=>[7,4,3,1,2,5,6]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[1,4,3,2,6,5,7]=>[6,4,3,1,2,5,7]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[1,4,3,2,6,7,5]=>[6,4,3,1,2,7,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[1,4,3,2,7,5,6]=>[4,7,3,1,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[1,4,3,2,7,6,5]=>[7,6,4,3,1,2,5]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[1,4,3,5,2,6,7]=>[4,3,1,5,2,6,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[1,4,3,5,2,7,6]=>[7,4,3,1,5,2,6]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[1,4,3,5,6,2,7]=>[4,3,1,5,6,2,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[1,4,3,5,6,7,2]=>[4,3,1,5,6,7,2]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[1,4,3,5,7,2,6]=>[4,3,1,5,2,7,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[1,4,3,5,7,6,2]=>[7,4,3,1,5,6,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[1,4,3,6,2,5,7]=>[4,3,1,2,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[1,4,3,6,2,7,5]=>[6,4,3,1,7,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[1,4,3,6,5,2,7]=>[6,4,3,1,5,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[1,4,3,6,5,7,2]=>[6,4,3,1,5,7,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[1,4,3,6,7,2,5]=>[4,3,1,2,6,7,5]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[1,4,3,6,7,5,2]=>[6,4,3,1,7,5,2]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[1,4,3,7,2,5,6]=>[4,3,1,2,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[1,4,3,7,2,6,5]=>[7,4,3,1,2,6,5]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[1,4,3,7,5,2,6]=>[4,7,3,1,5,2,6]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[1,4,3,7,5,6,2]=>[4,7,3,1,5,6,2]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[1,4,3,7,6,2,5]=>[4,7,3,1,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[1,4,3,7,6,5,2]=>[7,6,4,3,1,5,2]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[1,4,5,2,3,6,7]=>[1,4,2,5,3,6,7]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[1,4,5,2,3,7,6]=>[7,1,4,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[1,4,5,2,6,3,7]=>[4,5,1,6,2,3,7]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[1,4,5,2,6,7,3]=>[4,5,1,6,2,7,3]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[1,4,5,2,7,3,6]=>[4,5,1,2,7,3,6]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[1,4,5,2,7,6,3]=>[7,4,5,1,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[1,4,5,3,2,6,7]=>[4,5,1,3,2,6,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[1,4,5,3,2,7,6]=>[7,4,5,1,3,2,6]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[1,4,5,3,6,2,7]=>[4,5,1,3,6,2,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[1,4,5,3,6,7,2]=>[4,5,1,3,6,7,2]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[1,4,5,3,7,2,6]=>[4,5,1,3,2,7,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[1,4,5,3,7,6,2]=>[7,4,5,1,3,6,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[1,4,5,6,2,3,7]=>[1,4,2,5,6,3,7]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[1,4,5,6,2,7,3]=>[4,5,1,6,7,2,3]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[1,4,5,6,3,2,7]=>[4,5,1,6,3,2,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[1,4,5,6,3,7,2]=>[4,5,1,6,3,7,2]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[1,4,5,6,7,2,3]=>[1,4,2,5,6,7,3]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[1,4,5,6,7,3,2]=>[4,5,1,6,7,3,2]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[1,4,5,7,2,3,6]=>[1,4,2,5,3,7,6]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[1,4,5,7,2,6,3]=>[4,5,1,7,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[1,4,5,7,3,2,6]=>[4,5,1,3,7,2,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[1,4,5,7,3,6,2]=>[4,5,1,3,7,6,2]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[1,4,5,7,6,2,3]=>[1,7,4,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[1,4,5,7,6,3,2]=>[7,4,5,1,6,3,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[1,4,6,2,3,5,7]=>[1,4,2,3,6,5,7]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[1,4,6,2,3,7,5]=>[6,1,4,2,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[1,4,6,2,5,3,7]=>[4,6,1,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[1,4,6,2,5,7,3]=>[4,6,1,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[1,4,6,2,7,3,5]=>[4,1,6,2,7,3,5]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[1,4,6,2,7,5,3]=>[6,4,7,1,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[1,4,6,3,2,5,7]=>[4,1,6,3,2,5,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[1,4,6,3,2,7,5]=>[6,4,7,1,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[1,4,6,3,5,2,7]=>[4,3,1,6,5,2,7]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[1,4,6,3,5,7,2]=>[4,3,1,6,5,7,2]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[1,4,6,3,7,2,5]=>[4,1,6,3,2,7,5]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[1,4,6,3,7,5,2]=>[6,4,7,1,3,5,2]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[1,4,6,5,2,3,7]=>[1,6,4,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[1,4,6,5,2,7,3]=>[6,4,5,1,7,2,3]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[1,4,6,5,3,2,7]=>[6,4,5,1,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[1,4,6,5,3,7,2]=>[6,4,5,1,3,7,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[1,4,6,5,7,2,3]=>[1,6,4,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[1,4,6,5,7,3,2]=>[6,4,5,1,7,3,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[1,4,6,7,2,3,5]=>[1,4,2,3,6,7,5]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[1,4,6,7,2,5,3]=>[4,6,1,2,7,5,3]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[1,4,6,7,3,2,5]=>[4,1,6,3,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[1,4,6,7,3,5,2]=>[4,3,1,6,7,5,2]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[1,4,6,7,5,2,3]=>[1,6,4,2,7,5,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[1,4,6,7,5,3,2]=>[6,4,7,1,5,3,2]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[1,4,7,2,3,5,6]=>[1,4,2,3,5,7,6]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[1,4,7,2,3,6,5]=>[7,1,4,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[1,4,7,2,5,3,6]=>[4,1,7,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[1,4,7,2,5,6,3]=>[4,5,1,2,7,6,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[1,4,7,2,6,3,5]=>[4,1,7,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[1,4,7,2,6,5,3]=>[7,4,6,1,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[1,4,7,3,2,5,6]=>[4,1,3,7,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[1,4,7,3,2,6,5]=>[7,4,1,6,3,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[1,4,7,3,5,2,6]=>[4,3,1,5,7,2,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[1,4,7,3,5,6,2]=>[4,3,1,5,7,6,2]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[1,4,7,3,6,2,5]=>[4,3,1,2,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[1,4,7,3,6,5,2]=>[7,4,3,1,6,5,2]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[1,4,7,5,2,3,6]=>[1,4,7,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[1,4,7,5,2,6,3]=>[4,7,5,1,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[1,4,7,5,3,2,6]=>[4,7,5,1,3,2,6]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[1,4,7,5,3,6,2]=>[4,7,5,1,3,6,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[1,4,7,5,6,2,3]=>[1,7,2,4,5,6,3]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[1,4,7,5,6,3,2]=>[7,4,1,5,6,3,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[1,4,7,6,2,3,5]=>[1,4,7,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[1,4,7,6,2,5,3]=>[4,7,6,1,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[1,4,7,6,3,2,5]=>[4,7,1,6,3,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[1,4,7,6,3,5,2]=>[4,7,3,1,6,5,2]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[1,4,7,6,5,2,3]=>[1,7,6,4,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[1,4,7,6,5,3,2]=>[7,6,4,5,1,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[1,5,2,3,4,6,7]=>[1,2,5,3,4,6,7]=>[[1,2,3,4,6,7],[5]]=>[5,2]
[1,5,2,3,4,7,6]=>[7,1,2,5,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[1,5,2,3,6,4,7]=>[5,1,6,2,3,4,7]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[1,5,2,3,6,7,4]=>[5,1,6,2,3,7,4]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[1,5,2,3,7,4,6]=>[5,1,2,7,3,4,6]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[1,5,2,3,7,6,4]=>[7,5,1,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[1,5,2,4,3,6,7]=>[5,1,4,2,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[1,5,2,4,3,7,6]=>[7,5,1,4,2,3,6]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[1,5,2,4,6,3,7]=>[5,1,4,2,6,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[1,5,2,4,6,7,3]=>[5,1,4,2,6,7,3]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[1,5,2,4,7,3,6]=>[5,1,4,2,3,7,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[1,5,2,4,7,6,3]=>[7,5,1,4,2,6,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[1,5,2,6,3,4,7]=>[1,5,6,2,3,4,7]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[1,5,2,6,3,7,4]=>[5,6,7,1,2,3,4]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[1,5,2,6,4,3,7]=>[5,6,4,1,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[1,5,2,6,4,7,3]=>[5,6,4,1,2,7,3]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[1,5,2,6,7,3,4]=>[1,5,6,2,3,7,4]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[1,5,2,6,7,4,3]=>[5,6,7,1,2,4,3]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[1,5,2,7,3,6,4]=>[5,7,1,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[1,5,2,7,4,3,6]=>[5,4,7,1,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[1,5,2,7,4,6,3]=>[5,7,1,4,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[1,5,2,7,6,3,4]=>[1,7,5,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[1,5,2,7,6,4,3]=>[7,5,6,4,1,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[1,5,3,2,4,6,7]=>[3,5,1,2,4,6,7]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[1,5,3,2,4,7,6]=>[7,3,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[1,5,3,2,6,4,7]=>[5,6,3,1,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[1,5,3,2,6,7,4]=>[5,6,3,1,2,7,4]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[1,5,3,2,7,4,6]=>[5,3,7,1,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[1,5,3,2,7,6,4]=>[7,5,6,3,1,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[1,5,3,4,2,6,7]=>[5,1,3,4,2,6,7]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[1,5,3,4,2,7,6]=>[7,5,1,3,4,2,6]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[1,5,3,4,6,2,7]=>[5,1,3,4,6,2,7]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[1,5,3,4,6,7,2]=>[5,1,3,4,6,7,2]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[1,5,3,4,7,2,6]=>[5,1,3,4,2,7,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[1,5,3,4,7,6,2]=>[7,5,1,3,4,6,2]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[1,5,3,6,2,4,7]=>[3,5,1,2,6,4,7]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[1,5,3,6,2,7,4]=>[5,6,3,1,7,2,4]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[1,5,3,6,4,2,7]=>[5,6,3,1,4,2,7]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[1,5,3,6,4,7,2]=>[5,6,3,1,4,7,2]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[1,5,3,6,7,2,4]=>[3,5,1,2,6,7,4]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[1,5,3,6,7,4,2]=>[5,6,3,1,7,4,2]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[1,5,3,7,2,4,6]=>[3,5,1,2,4,7,6]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[1,5,3,7,2,6,4]=>[5,7,3,1,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[1,5,3,7,4,2,6]=>[5,3,7,1,4,2,6]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[1,5,3,7,4,6,2]=>[5,7,1,3,4,6,2]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[1,5,3,7,6,2,4]=>[3,7,5,1,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[1,5,3,7,6,4,2]=>[7,5,6,3,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[1,5,4,2,3,6,7]=>[1,5,4,2,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[1,5,4,2,3,7,6]=>[7,1,5,4,2,3,6]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[1,5,4,2,6,3,7]=>[5,4,6,1,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[1,5,4,2,6,7,3]=>[5,4,6,1,2,7,3]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[1,5,4,2,7,3,6]=>[5,4,1,7,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[1,5,4,2,7,6,3]=>[7,5,4,6,1,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[1,5,4,3,2,6,7]=>[5,4,3,1,2,6,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[1,5,4,3,2,7,6]=>[7,5,4,3,1,2,6]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[1,5,4,3,6,2,7]=>[5,4,3,1,6,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[1,5,4,3,6,7,2]=>[5,4,3,1,6,7,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[1,5,4,3,7,2,6]=>[5,4,3,1,2,7,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[1,5,4,3,7,6,2]=>[7,5,4,3,1,6,2]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[1,5,4,6,2,3,7]=>[1,5,4,2,6,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[1,5,4,6,2,7,3]=>[5,4,6,1,7,2,3]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[1,5,4,6,3,2,7]=>[5,4,6,1,3,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[1,5,4,6,3,7,2]=>[5,4,6,1,3,7,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[1,5,4,6,7,2,3]=>[1,5,4,2,6,7,3]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[1,5,4,6,7,3,2]=>[5,4,6,1,7,3,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[1,5,4,7,2,3,6]=>[1,5,4,2,3,7,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[1,5,4,7,2,6,3]=>[5,4,7,1,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[1,5,4,7,3,2,6]=>[5,4,1,7,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[1,5,4,7,3,6,2]=>[5,4,3,1,7,6,2]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[1,5,4,7,6,2,3]=>[1,7,5,4,2,6,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[1,5,4,7,6,3,2]=>[7,5,4,6,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[1,5,6,2,3,4,7]=>[1,2,5,3,6,4,7]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[1,5,6,2,3,7,4]=>[5,1,6,2,7,3,4]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[1,5,6,2,4,3,7]=>[5,1,6,2,4,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[1,5,6,2,4,7,3]=>[5,1,6,2,4,7,3]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[1,5,6,2,7,3,4]=>[1,5,6,2,7,3,4]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[1,5,6,2,7,4,3]=>[5,6,7,1,4,2,3]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[1,5,6,3,2,4,7]=>[1,5,6,3,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[1,5,6,3,2,7,4]=>[5,6,7,1,3,2,4]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[1,5,6,3,4,2,7]=>[5,1,3,6,4,2,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[1,5,6,3,4,7,2]=>[5,1,3,6,4,7,2]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[1,5,6,3,7,2,4]=>[1,5,6,3,2,7,4]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[1,5,6,3,7,4,2]=>[5,6,7,1,3,4,2]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[1,5,6,4,2,3,7]=>[1,5,6,2,4,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[1,5,6,4,2,7,3]=>[5,6,4,1,7,2,3]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[1,5,6,4,3,2,7]=>[5,6,4,1,3,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[1,5,6,4,3,7,2]=>[5,6,4,1,3,7,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[1,5,6,4,7,2,3]=>[1,5,6,2,4,7,3]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[1,5,6,4,7,3,2]=>[5,6,4,1,7,3,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[1,5,6,7,2,3,4]=>[1,2,5,3,6,7,4]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[1,5,6,7,2,4,3]=>[5,1,6,2,7,4,3]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[1,5,6,7,3,2,4]=>[1,5,6,3,7,2,4]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[1,5,6,7,3,4,2]=>[5,1,3,6,7,4,2]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[1,5,6,7,4,2,3]=>[1,5,6,2,7,4,3]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[1,5,6,7,4,3,2]=>[5,6,7,1,4,3,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[1,5,7,2,3,4,6]=>[1,2,5,3,4,7,6]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[1,5,7,2,3,6,4]=>[5,1,7,2,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[1,5,7,2,4,3,6]=>[5,1,2,7,4,3,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[1,5,7,2,4,6,3]=>[5,1,4,2,7,6,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[1,5,7,2,6,3,4]=>[1,5,7,2,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[1,5,7,2,6,4,3]=>[5,7,6,1,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[1,5,7,3,2,4,6]=>[1,5,3,7,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[1,5,7,3,2,6,4]=>[5,7,1,6,3,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[1,5,7,3,4,2,6]=>[5,1,3,4,7,2,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[1,5,7,3,4,6,2]=>[5,1,3,4,7,6,2]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[1,5,7,3,6,2,4]=>[3,5,1,2,7,6,4]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[1,5,7,3,6,4,2]=>[5,7,3,1,6,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[1,5,7,4,2,3,6]=>[1,5,2,7,4,3,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[1,5,7,4,2,6,3]=>[5,7,1,4,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[1,5,7,4,3,2,6]=>[5,4,7,1,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[1,5,7,4,3,6,2]=>[5,7,1,4,3,6,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[1,5,7,4,6,2,3]=>[1,5,4,2,7,6,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[1,5,7,4,6,3,2]=>[5,4,7,1,6,3,2]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[1,5,7,6,2,3,4]=>[1,2,7,5,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[1,5,7,6,2,4,3]=>[7,1,5,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[1,5,7,6,3,2,4]=>[1,7,5,6,3,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[1,5,7,6,3,4,2]=>[7,1,5,3,6,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[1,5,7,6,4,2,3]=>[1,7,5,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[1,5,7,6,4,3,2]=>[7,5,6,4,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[1,6,2,3,4,5,7]=>[1,2,3,6,4,5,7]=>[[1,2,3,4,5,7],[6]]=>[6,1]
[1,6,2,3,4,7,5]=>[6,1,2,7,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[1,6,2,3,5,4,7]=>[6,1,2,5,3,4,7]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[1,6,2,3,5,7,4]=>[6,1,2,5,3,7,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[1,6,2,3,7,4,5]=>[1,6,2,7,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[1,6,2,3,7,5,4]=>[6,7,1,5,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[1,6,2,4,3,7,5]=>[6,7,1,4,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[1,6,2,4,5,3,7]=>[6,1,2,4,5,3,7]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[1,6,2,4,5,7,3]=>[6,1,2,4,5,7,3]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[1,6,2,4,7,3,5]=>[1,6,4,2,3,7,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[1,6,2,4,7,5,3]=>[6,7,1,4,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[1,6,2,5,3,4,7]=>[1,6,2,5,3,4,7]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[1,6,2,5,3,7,4]=>[6,5,1,7,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[1,6,2,5,4,3,7]=>[6,5,1,4,2,3,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[1,6,2,5,4,7,3]=>[6,5,1,4,2,7,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[1,6,2,5,7,3,4]=>[1,6,2,5,3,7,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[1,6,2,5,7,4,3]=>[6,5,1,7,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[1,6,2,7,3,4,5]=>[1,2,6,7,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[1,6,2,7,3,5,4]=>[6,1,7,5,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[1,6,2,7,4,3,5]=>[4,6,7,1,2,3,5]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[1,6,2,7,4,5,3]=>[6,1,7,4,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[1,6,2,7,5,3,4]=>[1,6,7,5,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[1,6,2,7,5,4,3]=>[6,7,5,4,1,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[1,6,3,2,4,5,7]=>[3,1,6,2,4,5,7]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[1,6,3,2,4,7,5]=>[6,3,7,1,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[1,6,3,2,5,4,7]=>[6,3,5,1,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[1,6,3,2,5,7,4]=>[6,3,5,1,2,7,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[1,6,3,2,7,4,5]=>[3,6,7,1,2,4,5]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[1,6,3,2,7,5,4]=>[6,7,5,3,1,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[1,6,3,4,2,5,7]=>[1,6,3,4,2,5,7]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[1,6,3,4,2,7,5]=>[6,7,1,3,4,2,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[1,6,3,4,5,2,7]=>[3,1,6,4,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[1,6,3,4,5,7,2]=>[3,1,6,4,5,7,2]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[1,6,3,4,7,2,5]=>[1,6,3,4,2,7,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[1,6,3,4,7,5,2]=>[6,7,1,3,4,5,2]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[1,6,3,5,2,4,7]=>[1,6,3,2,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[1,6,3,5,2,7,4]=>[6,5,1,3,7,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[1,6,3,5,4,2,7]=>[6,5,1,3,4,2,7]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[1,6,3,5,4,7,2]=>[6,5,1,3,4,7,2]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[1,6,3,5,7,2,4]=>[1,6,3,2,5,7,4]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[1,6,3,5,7,4,2]=>[6,5,1,3,7,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[1,6,3,7,2,4,5]=>[3,1,6,2,4,7,5]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[1,6,3,7,2,5,4]=>[6,3,7,1,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[1,6,3,7,4,2,5]=>[3,6,7,1,4,2,5]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[1,6,3,7,4,5,2]=>[6,1,7,3,4,5,2]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[1,6,3,7,5,2,4]=>[3,6,7,1,2,5,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[1,6,3,7,5,4,2]=>[6,7,5,3,1,4,2]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[1,6,4,2,3,5,7]=>[1,4,6,2,3,5,7]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[1,6,4,2,3,7,5]=>[6,1,7,4,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[1,6,4,2,5,3,7]=>[4,6,5,1,2,3,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[1,6,4,2,5,7,3]=>[4,6,5,1,2,7,3]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[1,6,4,2,7,3,5]=>[4,6,1,7,2,3,5]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[1,6,4,2,7,5,3]=>[6,7,4,5,1,2,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[1,6,4,3,2,5,7]=>[4,6,3,1,2,5,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[1,6,4,3,2,7,5]=>[6,7,4,3,1,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[1,6,4,3,5,2,7]=>[4,6,3,1,5,2,7]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[1,6,4,3,5,7,2]=>[4,6,3,1,5,7,2]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[1,6,4,3,7,2,5]=>[4,6,3,1,2,7,5]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[1,6,4,3,7,5,2]=>[6,7,4,3,1,5,2]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[1,6,4,5,2,3,7]=>[1,6,2,4,5,3,7]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[1,6,4,5,2,7,3]=>[6,4,1,5,7,2,3]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[1,6,4,5,3,2,7]=>[6,4,1,5,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[1,6,4,5,3,7,2]=>[6,4,1,5,3,7,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[1,6,4,5,7,2,3]=>[1,6,2,4,5,7,3]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[1,6,4,5,7,3,2]=>[6,4,1,5,7,3,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[1,6,4,7,2,3,5]=>[1,4,6,2,3,7,5]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[1,6,4,7,2,5,3]=>[4,6,7,1,2,5,3]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[1,6,4,7,3,2,5]=>[4,6,1,7,3,2,5]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[1,6,4,7,3,5,2]=>[4,6,3,1,7,5,2]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[1,6,4,7,5,2,3]=>[1,6,7,4,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[1,6,4,7,5,3,2]=>[6,7,4,5,1,3,2]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[1,6,5,2,3,4,7]=>[1,2,6,5,3,4,7]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[1,6,5,2,3,7,4]=>[6,1,5,7,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[1,6,5,2,4,3,7]=>[6,1,5,4,2,3,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[1,6,5,2,4,7,3]=>[6,1,5,4,2,7,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[1,6,5,2,7,3,4]=>[1,6,5,7,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[1,6,5,2,7,4,3]=>[6,5,7,4,1,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[1,6,5,3,2,4,7]=>[3,6,5,1,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[1,6,5,3,2,7,4]=>[6,5,7,3,1,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[1,6,5,3,4,2,7]=>[6,1,5,3,4,2,7]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[1,6,5,3,4,7,2]=>[6,1,5,3,4,7,2]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[1,6,5,3,7,2,4]=>[3,6,5,1,2,7,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[1,6,5,3,7,4,2]=>[6,5,7,3,1,4,2]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[1,6,5,4,2,3,7]=>[1,6,5,4,2,3,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[1,6,5,4,2,7,3]=>[6,5,4,7,1,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[1,6,5,4,3,2,7]=>[6,5,4,3,1,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[1,6,5,4,3,7,2]=>[6,5,4,3,1,7,2]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[1,6,5,4,7,2,3]=>[1,6,5,4,2,7,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[1,6,5,4,7,3,2]=>[6,5,4,7,1,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[1,6,5,7,2,3,4]=>[1,2,6,5,3,7,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[1,6,5,7,2,4,3]=>[6,1,5,7,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[1,6,5,7,3,2,4]=>[1,6,5,7,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[1,6,5,7,3,4,2]=>[6,1,5,3,7,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[1,6,5,7,4,2,3]=>[1,6,5,7,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[1,6,5,7,4,3,2]=>[6,5,7,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[1,6,7,2,3,4,5]=>[1,2,3,6,4,7,5]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[1,6,7,2,3,5,4]=>[6,1,2,7,3,5,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[1,6,7,2,4,3,5]=>[1,6,2,7,4,3,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[1,6,7,2,4,5,3]=>[6,1,2,4,7,5,3]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[1,6,7,2,5,3,4]=>[1,6,2,7,3,5,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[1,6,7,2,5,4,3]=>[6,7,1,5,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[1,6,7,3,2,4,5]=>[1,3,6,7,2,4,5]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[1,6,7,3,2,5,4]=>[6,1,7,5,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[1,6,7,3,4,2,5]=>[1,6,3,4,7,2,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[1,6,7,3,4,5,2]=>[3,1,6,4,7,5,2]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[1,6,7,3,5,2,4]=>[1,6,3,2,7,5,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[1,6,7,3,5,4,2]=>[6,7,1,3,5,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[1,6,7,4,2,3,5]=>[1,2,6,7,4,3,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[1,6,7,4,2,5,3]=>[6,1,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[1,6,7,4,3,2,5]=>[4,6,7,1,3,2,5]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[1,6,7,4,3,5,2]=>[6,1,7,4,3,5,2]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[1,6,7,4,5,2,3]=>[1,6,2,4,7,5,3]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[1,6,7,4,5,3,2]=>[6,4,1,7,5,3,2]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[1,6,7,5,2,3,4]=>[1,2,6,7,3,5,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[1,6,7,5,2,4,3]=>[6,1,7,5,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[1,6,7,5,3,2,4]=>[1,6,7,5,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[1,6,7,5,3,4,2]=>[6,1,7,3,5,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[1,6,7,5,4,2,3]=>[1,6,7,5,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[1,6,7,5,4,3,2]=>[6,7,5,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[1,7,2,3,4,5,6]=>[1,2,3,4,7,5,6]=>[[1,2,3,4,5,6],[7]]=>[7]
[1,7,2,3,4,6,5]=>[7,1,2,3,6,4,5]=>[[1,2,3,4,5],[6],[7]]=>[7]
[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[1,7,2,3,5,6,4]=>[7,1,2,3,5,6,4]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[1,7,2,3,6,4,5]=>[1,7,2,3,6,4,5]=>[[1,2,3,4,5],[6],[7]]=>[7]
[1,7,2,3,6,5,4]=>[7,6,1,2,5,3,4]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[1,7,2,4,3,6,5]=>[7,1,6,4,2,3,5]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[1,7,2,4,5,3,6]=>[1,7,2,4,5,3,6]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[1,7,2,4,5,6,3]=>[4,1,2,7,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[1,7,2,4,6,3,5]=>[1,7,2,4,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[1,7,2,4,6,5,3]=>[7,6,1,2,4,5,3]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[1,7,2,5,3,4,6]=>[1,2,7,5,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[1,7,2,5,3,6,4]=>[7,1,5,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[1,7,2,5,4,3,6]=>[5,7,1,4,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[1,7,2,5,4,6,3]=>[7,1,5,4,2,6,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[1,7,2,5,6,3,4]=>[1,7,2,3,5,6,4]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[1,7,2,5,6,4,3]=>[7,5,1,2,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[1,7,2,6,3,4,5]=>[1,2,7,3,6,4,5]=>[[1,2,3,4,5],[6],[7]]=>[7]
[1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[1,7,2,6,4,3,5]=>[1,7,6,4,2,3,5]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[1,7,2,6,4,5,3]=>[7,1,6,2,4,5,3]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[1,7,2,6,5,3,4]=>[1,7,6,2,5,3,4]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[1,7,2,6,5,4,3]=>[7,6,5,1,4,2,3]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[1,7,3,2,4,5,6]=>[3,1,2,7,4,5,6]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[1,7,3,2,4,6,5]=>[7,3,1,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[1,7,3,2,5,4,6]=>[3,7,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[1,7,3,2,5,6,4]=>[7,3,1,5,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[1,7,3,2,6,4,5]=>[3,7,1,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[1,7,3,2,6,5,4]=>[7,6,3,5,1,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[1,7,3,4,2,5,6]=>[1,3,7,4,2,5,6]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[1,7,3,4,2,6,5]=>[7,1,6,3,4,2,5]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[1,7,3,4,5,2,6]=>[3,1,4,7,5,2,6]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[1,7,3,4,5,6,2]=>[3,1,4,7,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[1,7,3,4,6,2,5]=>[3,1,4,7,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[1,7,3,4,6,5,2]=>[7,3,1,6,4,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[1,7,3,5,2,4,6]=>[1,3,7,2,5,4,6]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[1,7,3,5,2,6,4]=>[7,1,5,3,6,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[1,7,3,5,4,2,6]=>[5,7,1,3,4,2,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[1,7,3,5,4,6,2]=>[7,1,5,3,4,6,2]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[1,7,3,5,6,2,4]=>[3,1,2,7,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[1,7,3,5,6,4,2]=>[7,3,1,5,6,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[1,7,3,6,2,4,5]=>[1,3,7,2,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[1,7,3,6,2,5,4]=>[7,1,6,3,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[1,7,3,6,4,2,5]=>[1,7,6,3,4,2,5]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[1,7,3,6,4,5,2]=>[7,1,3,6,4,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[1,7,3,6,5,2,4]=>[1,7,6,3,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[1,7,3,6,5,4,2]=>[7,6,5,1,3,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[1,7,4,2,3,6,5]=>[7,1,4,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[1,7,4,2,5,3,6]=>[4,5,7,1,2,3,6]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[1,7,4,2,5,6,3]=>[4,7,1,5,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[1,7,4,2,6,3,5]=>[4,1,7,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[1,7,4,2,6,5,3]=>[7,4,6,5,1,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[1,7,4,3,2,5,6]=>[4,3,7,1,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[1,7,4,3,2,6,5]=>[7,4,6,3,1,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[1,7,4,3,5,2,6]=>[4,3,7,1,5,2,6]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[1,7,4,3,5,6,2]=>[4,7,1,3,5,6,2]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[1,7,4,3,6,2,5]=>[4,3,7,1,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[1,7,4,3,6,5,2]=>[7,4,6,3,1,5,2]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[1,7,4,5,2,3,6]=>[1,2,7,4,5,3,6]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[1,7,4,5,2,6,3]=>[7,1,4,5,6,2,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[1,7,4,5,3,2,6]=>[4,7,1,5,3,2,6]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[1,7,4,5,3,6,2]=>[7,1,4,5,3,6,2]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[1,7,4,5,6,2,3]=>[1,4,2,7,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[1,7,4,5,6,3,2]=>[4,7,1,5,6,3,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[1,7,4,6,2,3,5]=>[1,2,7,4,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[1,7,4,6,2,5,3]=>[7,1,4,6,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[1,7,4,6,3,2,5]=>[4,7,1,3,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[1,7,4,6,3,5,2]=>[7,1,4,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[1,7,4,6,5,2,3]=>[1,7,6,2,4,5,3]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[1,7,4,6,5,3,2]=>[7,6,4,1,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[1,7,5,2,3,4,6]=>[1,2,5,7,3,4,6]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[1,7,5,2,3,6,4]=>[5,1,7,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[1,7,5,2,4,3,6]=>[1,7,5,4,2,3,6]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[1,7,5,2,4,6,3]=>[5,1,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[1,7,5,2,6,3,4]=>[1,5,7,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[1,7,5,2,6,4,3]=>[5,7,6,4,1,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[1,7,5,3,2,4,6]=>[3,5,7,1,2,4,6]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[1,7,5,3,2,6,4]=>[5,7,6,3,1,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[1,7,5,3,4,2,6]=>[1,7,5,3,4,2,6]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[1,7,5,3,4,6,2]=>[5,1,7,3,4,6,2]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[1,7,5,3,6,2,4]=>[3,5,7,1,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[1,7,5,3,6,4,2]=>[5,7,6,3,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[1,7,5,4,2,3,6]=>[1,5,7,4,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[1,7,5,4,2,6,3]=>[5,7,4,6,1,2,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[1,7,5,4,3,2,6]=>[5,7,4,3,1,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[1,7,5,4,3,6,2]=>[5,7,4,3,1,6,2]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[1,7,5,4,6,2,3]=>[1,5,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[1,7,5,4,6,3,2]=>[5,7,4,6,1,3,2]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[1,7,5,6,2,3,4]=>[1,2,7,3,5,6,4]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[1,7,5,6,2,4,3]=>[7,1,5,2,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[1,7,5,6,3,2,4]=>[1,7,5,3,6,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[1,7,5,6,3,4,2]=>[7,1,3,5,6,4,2]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[1,7,5,6,4,2,3]=>[1,7,5,2,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[1,7,5,6,4,3,2]=>[7,5,6,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[1,7,6,2,3,4,5]=>[1,2,3,7,6,4,5]=>[[1,2,3,4,5],[6],[7]]=>[7]
[1,7,6,2,3,5,4]=>[7,1,2,6,5,3,4]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[1,7,6,2,4,3,5]=>[1,7,4,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[1,7,6,2,4,5,3]=>[7,1,2,6,4,5,3]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[1,7,6,2,5,3,4]=>[1,7,2,6,5,3,4]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[1,7,6,2,5,4,3]=>[7,6,1,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[1,7,6,3,2,4,5]=>[3,1,7,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[1,7,6,3,2,5,4]=>[7,3,6,5,1,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[1,7,6,3,4,2,5]=>[1,7,3,6,4,2,5]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[1,7,6,3,4,5,2]=>[3,1,7,6,4,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[1,7,6,3,5,2,4]=>[1,7,3,6,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[1,7,6,3,5,4,2]=>[7,6,1,5,3,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[1,7,6,4,2,3,5]=>[1,4,7,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[1,7,6,4,2,5,3]=>[4,7,6,5,1,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[1,7,6,4,3,2,5]=>[4,7,6,3,1,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[1,7,6,4,3,5,2]=>[4,7,6,3,1,5,2]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[1,7,6,4,5,2,3]=>[1,7,2,6,4,5,3]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[1,7,6,4,5,3,2]=>[7,6,1,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[1,7,6,5,2,3,4]=>[1,2,7,6,5,3,4]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[1,7,6,5,2,4,3]=>[7,1,6,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[1,7,6,5,3,2,4]=>[3,7,6,5,1,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[1,7,6,5,3,4,2]=>[7,1,6,5,3,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[1,7,6,5,4,2,3]=>[1,7,6,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[1,7,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[7]
[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>[2,5]
[2,1,3,4,5,7,6]=>[7,2,1,3,4,5,6]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[2,1,3,4,6,5,7]=>[6,2,1,3,4,5,7]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[2,1,3,4,6,7,5]=>[6,2,1,3,4,7,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,1,3,4,7,5,6]=>[2,7,1,3,4,5,6]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[2,1,3,4,7,6,5]=>[7,6,2,1,3,4,5]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[2,1,3,5,4,6,7]=>[5,2,1,3,4,6,7]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[2,1,3,5,4,7,6]=>[7,5,2,1,3,4,6]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[2,1,3,5,6,4,7]=>[5,2,1,3,6,4,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,1,3,5,6,7,4]=>[5,2,1,3,6,7,4]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,1,3,5,7,4,6]=>[5,2,1,3,4,7,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,1,3,5,7,6,4]=>[7,5,2,1,3,6,4]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,1,3,6,4,5,7]=>[2,6,1,3,4,5,7]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[2,1,3,6,4,7,5]=>[6,7,2,1,3,4,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,1,3,6,5,4,7]=>[6,5,2,1,3,4,7]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[2,1,3,6,5,7,4]=>[6,5,2,1,3,7,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,1,3,6,7,4,5]=>[2,6,1,3,4,7,5]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[2,1,3,6,7,5,4]=>[6,7,2,1,3,5,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[2,1,3,7,4,5,6]=>[2,1,7,3,4,5,6]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[2,1,3,7,4,6,5]=>[7,2,6,1,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[2,1,3,7,5,4,6]=>[5,7,2,1,3,4,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,1,3,7,5,6,4]=>[7,2,5,1,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[2,1,3,7,6,4,5]=>[2,7,6,1,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[2,1,3,7,6,5,4]=>[7,6,5,2,1,3,4]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[2,1,4,3,5,6,7]=>[4,2,1,3,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[2,1,4,3,5,7,6]=>[7,4,2,1,3,5,6]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[2,1,4,3,6,5,7]=>[6,4,2,1,3,5,7]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[2,1,4,3,6,7,5]=>[6,4,2,1,3,7,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,1,4,3,7,5,6]=>[4,7,2,1,3,5,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[2,1,4,3,7,6,5]=>[7,6,4,2,1,3,5]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[2,1,4,5,3,6,7]=>[4,2,1,5,3,6,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[2,1,4,5,3,7,6]=>[7,4,2,1,5,3,6]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[2,1,4,5,6,3,7]=>[4,2,1,5,6,3,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[2,1,4,5,6,7,3]=>[4,2,1,5,6,7,3]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[2,1,4,5,7,3,6]=>[4,2,1,5,3,7,6]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[2,1,4,5,7,6,3]=>[7,4,2,1,5,6,3]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[2,1,4,6,3,5,7]=>[4,2,1,3,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[2,1,4,6,3,7,5]=>[6,4,2,1,7,3,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,1,4,6,5,3,7]=>[6,4,2,1,5,3,7]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[2,1,4,6,5,7,3]=>[6,4,2,1,5,7,3]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[2,1,4,6,7,3,5]=>[4,2,1,3,6,7,5]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[2,1,4,6,7,5,3]=>[6,4,2,1,7,5,3]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[2,1,4,7,3,5,6]=>[4,2,1,3,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[2,1,4,7,3,6,5]=>[7,4,2,1,3,6,5]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,1,4,7,5,3,6]=>[4,7,2,1,5,3,6]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[2,1,4,7,5,6,3]=>[7,2,4,1,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[2,1,4,7,6,3,5]=>[4,7,2,1,3,6,5]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[2,1,4,7,6,5,3]=>[7,6,4,2,1,5,3]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[2,1,5,3,4,6,7]=>[2,5,1,3,4,6,7]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[2,1,5,3,4,7,6]=>[7,2,5,1,3,4,6]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[2,1,5,3,6,4,7]=>[5,6,2,1,3,4,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,1,5,3,6,7,4]=>[5,6,2,1,3,7,4]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[2,1,5,3,7,4,6]=>[5,2,7,1,3,4,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,1,5,3,7,6,4]=>[7,5,6,2,1,3,4]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,1,5,4,3,6,7]=>[5,4,2,1,3,6,7]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[2,1,5,4,3,7,6]=>[7,5,4,2,1,3,6]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[2,1,5,4,6,3,7]=>[5,4,2,1,6,3,7]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[2,1,5,4,6,7,3]=>[5,4,2,1,6,7,3]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[2,1,5,4,7,3,6]=>[5,4,2,1,3,7,6]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[2,1,5,4,7,6,3]=>[7,5,4,2,1,6,3]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[2,1,5,6,3,4,7]=>[2,5,1,3,6,4,7]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[2,1,5,6,3,7,4]=>[5,6,2,1,7,3,4]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[2,1,5,6,4,3,7]=>[5,6,2,1,4,3,7]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[2,1,5,6,4,7,3]=>[5,6,2,1,4,7,3]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[2,1,5,6,7,3,4]=>[2,5,1,3,6,7,4]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[2,1,5,6,7,4,3]=>[5,6,2,1,7,4,3]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[2,1,5,7,3,4,6]=>[2,5,1,3,4,7,6]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[2,1,5,7,3,6,4]=>[5,7,2,1,3,6,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[2,1,5,7,4,3,6]=>[5,2,7,1,4,3,6]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[2,1,5,7,4,6,3]=>[5,4,2,1,7,6,3]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[2,1,5,7,6,3,4]=>[2,7,5,1,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[2,1,5,7,6,4,3]=>[7,5,6,2,1,4,3]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[2,1,6,3,4,5,7]=>[2,1,6,3,4,5,7]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[2,1,6,3,4,7,5]=>[6,2,7,1,3,4,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,1,6,3,5,4,7]=>[6,2,5,1,3,4,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[2,1,6,3,5,7,4]=>[6,2,5,1,3,7,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[2,1,6,3,7,4,5]=>[2,6,7,1,3,4,5]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[2,1,6,3,7,5,4]=>[6,7,5,2,1,3,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,1,6,4,3,5,7]=>[4,6,2,1,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[2,1,6,4,3,7,5]=>[6,7,4,2,1,3,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,1,6,4,5,3,7]=>[6,2,4,1,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[2,1,6,4,5,7,3]=>[6,2,4,1,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[2,1,6,4,7,3,5]=>[4,6,2,1,3,7,5]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[2,1,6,4,7,5,3]=>[6,7,4,2,1,5,3]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[2,1,6,5,3,4,7]=>[2,6,5,1,3,4,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[2,1,6,5,3,7,4]=>[6,5,7,2,1,3,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,1,6,5,4,3,7]=>[6,5,4,2,1,3,7]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[2,1,6,5,4,7,3]=>[6,5,4,2,1,7,3]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[2,1,6,5,7,3,4]=>[2,6,5,1,3,7,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[2,1,6,5,7,4,3]=>[6,5,7,2,1,4,3]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[2,1,6,7,3,4,5]=>[2,1,6,3,4,7,5]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[2,1,6,7,3,5,4]=>[6,2,7,1,3,5,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[2,1,6,7,4,3,5]=>[2,6,7,1,4,3,5]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[2,1,6,7,4,5,3]=>[6,2,4,1,7,5,3]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[2,1,6,7,5,3,4]=>[2,6,7,1,3,5,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[2,1,6,7,5,4,3]=>[6,7,5,2,1,4,3]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[2,1,7,3,4,5,6]=>[2,1,3,7,4,5,6]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[2,1,7,3,4,6,5]=>[7,2,1,6,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[2,1,7,3,5,4,6]=>[2,7,5,1,3,4,6]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[2,1,7,3,5,6,4]=>[7,2,1,5,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[2,1,7,3,6,4,5]=>[2,7,1,6,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[2,1,7,3,6,5,4]=>[7,6,2,5,1,3,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[2,1,7,4,3,5,6]=>[4,2,7,1,3,5,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[2,1,7,4,3,6,5]=>[7,4,6,2,1,3,5]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,1,7,4,5,3,6]=>[2,7,4,1,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[2,1,7,4,5,6,3]=>[7,2,1,4,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[2,1,7,4,6,3,5]=>[2,7,4,1,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[2,1,7,4,6,5,3]=>[7,6,2,4,1,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[2,1,7,5,3,4,6]=>[2,5,7,1,3,4,6]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[2,1,7,5,3,6,4]=>[5,7,6,2,1,3,4]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,1,7,5,4,3,6]=>[5,7,4,2,1,3,6]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[2,1,7,5,4,6,3]=>[5,7,4,2,1,6,3]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[2,1,7,5,6,3,4]=>[2,7,1,5,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[2,1,7,5,6,4,3]=>[7,5,2,6,1,4,3]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[2,1,7,6,3,4,5]=>[2,1,7,6,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[2,1,7,6,3,5,4]=>[7,2,6,5,1,3,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[2,1,7,6,4,3,5]=>[4,7,6,2,1,3,5]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,1,7,6,4,5,3]=>[7,2,6,4,1,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[2,1,7,6,5,3,4]=>[2,7,6,5,1,3,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[2,1,7,6,5,4,3]=>[7,6,5,4,2,1,3]=>[[1,3],[2],[4],[5],[6],[7]]=>[2,5]
[2,3,1,4,5,6,7]=>[2,3,1,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>[2,5]
[2,3,1,4,5,7,6]=>[7,2,3,1,4,5,6]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[2,3,1,4,6,5,7]=>[6,2,3,1,4,5,7]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[2,3,1,4,6,7,5]=>[6,2,3,1,4,7,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,3,1,4,7,5,6]=>[2,7,3,1,4,5,6]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[2,3,1,4,7,6,5]=>[7,6,2,3,1,4,5]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[2,3,1,5,4,6,7]=>[5,2,3,1,4,6,7]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[2,3,1,5,4,7,6]=>[7,5,2,3,1,4,6]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[2,3,1,5,6,4,7]=>[5,2,3,1,6,4,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,3,1,5,6,7,4]=>[5,2,3,1,6,7,4]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,3,1,5,7,4,6]=>[5,2,3,1,4,7,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,3,1,5,7,6,4]=>[7,5,2,3,1,6,4]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,3,1,6,4,5,7]=>[2,6,3,1,4,5,7]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[2,3,1,6,4,7,5]=>[6,7,2,3,1,4,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,3,1,6,5,4,7]=>[6,5,2,3,1,4,7]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[2,3,1,6,5,7,4]=>[6,5,2,3,1,7,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,3,1,6,7,4,5]=>[2,6,3,1,4,7,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,3,1,6,7,5,4]=>[6,7,2,3,1,5,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[2,3,1,7,4,5,6]=>[2,3,7,1,4,5,6]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[2,3,1,7,4,6,5]=>[7,2,6,3,1,4,5]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[2,3,1,7,5,4,6]=>[5,7,2,3,1,4,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,3,1,7,5,6,4]=>[7,2,5,3,1,6,4]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,3,1,7,6,4,5]=>[2,7,6,3,1,4,5]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[2,3,1,7,6,5,4]=>[7,6,5,2,3,1,4]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[2,3,4,1,5,6,7]=>[2,3,4,1,5,6,7]=>[[1,3,4,5,6,7],[2]]=>[2,5]
[2,3,4,1,5,7,6]=>[7,2,3,4,1,5,6]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[2,3,4,1,6,5,7]=>[6,2,3,4,1,5,7]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[2,3,4,1,6,7,5]=>[6,2,3,4,1,7,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,3,4,1,7,5,6]=>[2,7,3,4,1,5,6]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[2,3,4,1,7,6,5]=>[7,6,2,3,4,1,5]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[2,3,4,5,1,6,7]=>[2,3,4,5,1,6,7]=>[[1,3,4,5,6,7],[2]]=>[2,5]
[2,3,4,5,1,7,6]=>[7,2,3,4,5,1,6]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[2,3,4,5,6,1,7]=>[2,3,4,5,6,1,7]=>[[1,3,4,5,6,7],[2]]=>[2,5]
[2,3,4,5,6,7,1]=>[2,3,4,5,6,7,1]=>[[1,3,4,5,6,7],[2]]=>[2,5]
[2,3,4,5,7,1,6]=>[2,3,4,5,1,7,6]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[2,3,4,5,7,6,1]=>[7,2,3,4,5,6,1]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[2,3,4,6,1,5,7]=>[2,3,4,1,6,5,7]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[2,3,4,6,1,7,5]=>[6,2,3,4,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,3,4,6,5,1,7]=>[6,2,3,4,5,1,7]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[2,3,4,6,5,7,1]=>[6,2,3,4,5,7,1]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[2,3,4,6,7,1,5]=>[2,3,4,1,6,7,5]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[2,3,4,6,7,5,1]=>[6,2,3,4,7,5,1]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,3,4,7,1,5,6]=>[2,3,4,1,5,7,6]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[2,3,4,7,1,6,5]=>[7,2,3,4,1,6,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[2,3,4,7,5,1,6]=>[2,7,3,4,5,1,6]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[2,3,4,7,5,6,1]=>[2,7,3,4,5,6,1]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[2,3,4,7,6,1,5]=>[2,7,3,4,1,6,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[2,3,4,7,6,5,1]=>[7,6,2,3,4,5,1]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[2,3,5,1,4,6,7]=>[2,3,1,5,4,6,7]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[2,3,5,1,4,7,6]=>[7,2,3,1,5,4,6]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[2,3,5,1,6,4,7]=>[5,2,3,6,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,3,5,1,6,7,4]=>[5,2,3,6,1,7,4]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,3,5,1,7,4,6]=>[5,2,3,1,7,4,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,3,5,1,7,6,4]=>[7,5,2,3,6,1,4]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,3,5,4,1,6,7]=>[5,2,3,4,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[2,3,5,4,1,7,6]=>[7,5,2,3,4,1,6]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[2,3,5,4,6,1,7]=>[5,2,3,4,6,1,7]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[2,3,5,4,6,7,1]=>[5,2,3,4,6,7,1]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[2,3,5,4,7,1,6]=>[5,2,3,4,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,3,5,4,7,6,1]=>[7,5,2,3,4,6,1]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[2,3,5,6,1,4,7]=>[2,3,1,5,6,4,7]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[2,3,5,6,1,7,4]=>[5,2,3,6,7,1,4]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,3,5,6,4,1,7]=>[5,2,3,6,4,1,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,3,5,6,4,7,1]=>[5,2,3,6,4,7,1]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,3,5,6,7,1,4]=>[2,3,1,5,6,7,4]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[2,3,5,6,7,4,1]=>[5,2,3,6,7,4,1]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,3,5,7,1,4,6]=>[2,3,1,5,4,7,6]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[2,3,5,7,1,6,4]=>[5,2,3,7,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[2,3,5,7,4,1,6]=>[5,2,3,4,7,1,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,3,5,7,4,6,1]=>[5,2,3,4,7,6,1]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,3,5,7,6,1,4]=>[2,7,3,1,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[2,3,5,7,6,4,1]=>[7,5,2,3,6,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,3,6,1,4,5,7]=>[2,3,1,4,6,5,7]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[2,3,6,1,4,7,5]=>[6,2,3,1,7,4,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,3,6,1,5,4,7]=>[6,2,3,1,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[2,3,6,1,5,7,4]=>[6,2,3,1,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[2,3,6,1,7,4,5]=>[2,6,3,1,7,4,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,3,6,1,7,5,4]=>[6,7,2,3,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[2,3,6,4,1,5,7]=>[2,6,3,4,1,5,7]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[2,3,6,4,1,7,5]=>[6,7,2,3,4,1,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,3,6,4,5,1,7]=>[2,6,3,4,5,1,7]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[2,3,6,4,5,7,1]=>[2,6,3,4,5,7,1]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[2,3,6,4,7,1,5]=>[2,6,3,4,1,7,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,3,6,4,7,5,1]=>[6,7,2,3,4,5,1]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,3,6,5,1,4,7]=>[2,6,3,1,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[2,3,6,5,1,7,4]=>[6,5,2,3,7,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,3,6,5,4,1,7]=>[6,5,2,3,4,1,7]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[2,3,6,5,4,7,1]=>[6,5,2,3,4,7,1]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[2,3,6,5,7,1,4]=>[2,6,3,1,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[2,3,6,5,7,4,1]=>[6,5,2,3,7,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,3,6,7,1,4,5]=>[2,3,1,4,6,7,5]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[2,3,6,7,1,5,4]=>[6,2,3,1,7,5,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[2,3,6,7,4,1,5]=>[2,6,3,4,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,3,6,7,4,5,1]=>[2,6,3,4,7,5,1]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,3,6,7,5,1,4]=>[2,6,3,1,7,5,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[2,3,6,7,5,4,1]=>[6,7,2,3,5,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,3,7,1,4,5,6]=>[2,3,1,4,5,7,6]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[2,3,7,1,4,6,5]=>[7,2,3,1,4,6,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[2,3,7,1,5,4,6]=>[2,7,3,1,5,4,6]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[2,3,7,1,5,6,4]=>[5,2,3,1,7,6,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[2,3,7,1,6,4,5]=>[2,7,3,1,4,6,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[2,3,7,1,6,5,4]=>[7,6,2,3,1,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[2,3,7,4,1,5,6]=>[2,3,7,4,1,5,6]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[2,3,7,4,1,6,5]=>[7,2,6,3,4,1,5]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[2,3,7,4,5,1,6]=>[2,3,7,4,5,1,6]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[2,3,7,4,5,6,1]=>[2,3,7,4,5,6,1]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[2,3,7,4,6,1,5]=>[2,3,7,4,1,6,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[2,3,7,4,6,5,1]=>[7,2,6,3,4,5,1]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[2,3,7,5,1,4,6]=>[2,3,7,1,5,4,6]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[2,3,7,5,1,6,4]=>[7,2,5,3,6,1,4]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,3,7,5,4,1,6]=>[5,7,2,3,4,1,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,3,7,5,4,6,1]=>[5,7,2,3,4,6,1]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,3,7,5,6,1,4]=>[2,3,7,1,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[2,3,7,5,6,4,1]=>[7,2,5,3,6,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,3,7,6,1,4,5]=>[2,3,7,1,4,6,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[2,3,7,6,1,5,4]=>[7,2,6,3,1,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[2,3,7,6,4,1,5]=>[2,7,6,3,4,1,5]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[2,3,7,6,4,5,1]=>[2,7,6,3,4,5,1]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[2,3,7,6,5,1,4]=>[2,7,6,3,1,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[2,3,7,6,5,4,1]=>[7,6,5,2,3,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[2,4,1,3,5,6,7]=>[2,1,4,3,5,6,7]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[2,4,1,3,5,7,6]=>[7,2,1,4,3,5,6]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[2,4,1,3,6,5,7]=>[6,2,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[2,4,1,3,6,7,5]=>[6,2,1,4,3,7,5]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[2,4,1,3,7,5,6]=>[2,7,1,4,3,5,6]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[2,4,1,3,7,6,5]=>[7,6,2,1,4,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[2,4,1,5,3,6,7]=>[4,2,5,1,3,6,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[2,4,1,5,3,7,6]=>[7,4,2,5,1,3,6]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[2,4,1,5,6,3,7]=>[4,2,5,1,6,3,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[2,4,1,5,6,7,3]=>[4,2,5,1,6,7,3]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[2,4,1,5,7,3,6]=>[4,2,5,1,3,7,6]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[2,4,1,5,7,6,3]=>[7,4,2,5,1,6,3]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[2,4,1,6,3,5,7]=>[4,2,1,6,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[2,4,1,6,3,7,5]=>[6,4,2,7,1,3,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,4,1,6,5,3,7]=>[6,4,2,5,1,3,7]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[2,4,1,6,5,7,3]=>[6,4,2,5,1,7,3]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[2,4,1,6,7,3,5]=>[4,2,1,6,3,7,5]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[2,4,1,6,7,5,3]=>[6,4,2,7,1,5,3]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[2,4,1,7,3,5,6]=>[4,2,1,3,7,5,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[2,4,1,7,3,6,5]=>[7,4,2,1,6,3,5]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,4,1,7,5,3,6]=>[4,7,2,5,1,3,6]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[2,4,1,7,5,6,3]=>[7,2,4,5,1,6,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[2,4,1,7,6,3,5]=>[4,7,2,1,6,3,5]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[2,4,1,7,6,5,3]=>[7,6,4,2,5,1,3]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[2,4,3,1,5,6,7]=>[4,2,3,1,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[2,4,3,1,5,7,6]=>[7,4,2,3,1,5,6]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[2,4,3,1,6,5,7]=>[6,4,2,3,1,5,7]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[2,4,3,1,6,7,5]=>[6,4,2,3,1,7,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,4,3,1,7,5,6]=>[4,7,2,3,1,5,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[2,4,3,1,7,6,5]=>[7,6,4,2,3,1,5]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[2,4,3,5,1,6,7]=>[4,2,3,5,1,6,7]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[2,4,3,5,1,7,6]=>[7,4,2,3,5,1,6]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[2,4,3,5,6,1,7]=>[4,2,3,5,6,1,7]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[2,4,3,5,6,7,1]=>[4,2,3,5,6,7,1]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[2,4,3,5,7,1,6]=>[4,2,3,5,1,7,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[2,4,3,5,7,6,1]=>[7,4,2,3,5,6,1]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[2,4,3,6,1,5,7]=>[4,2,3,1,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[2,4,3,6,1,7,5]=>[6,4,2,3,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,4,3,6,5,1,7]=>[6,4,2,3,5,1,7]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[2,4,3,6,5,7,1]=>[6,4,2,3,5,7,1]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[2,4,3,6,7,1,5]=>[4,2,3,1,6,7,5]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[2,4,3,6,7,5,1]=>[6,4,2,3,7,5,1]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,4,3,7,1,5,6]=>[4,2,3,1,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[2,4,3,7,1,6,5]=>[7,4,2,3,1,6,5]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,4,3,7,5,1,6]=>[4,7,2,3,5,1,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[2,4,3,7,5,6,1]=>[4,7,2,3,5,6,1]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[2,4,3,7,6,1,5]=>[4,7,2,3,1,6,5]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[2,4,3,7,6,5,1]=>[7,6,4,2,3,5,1]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[2,4,5,1,3,6,7]=>[2,1,4,5,3,6,7]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[2,4,5,1,3,7,6]=>[7,2,1,4,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[2,4,5,1,6,3,7]=>[4,2,5,6,1,3,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[2,4,5,1,6,7,3]=>[4,2,5,6,1,7,3]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[2,4,5,1,7,3,6]=>[4,2,5,1,7,3,6]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[2,4,5,1,7,6,3]=>[7,4,2,5,6,1,3]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[2,4,5,3,1,6,7]=>[4,2,5,3,1,6,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[2,4,5,3,1,7,6]=>[7,4,2,5,3,1,6]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[2,4,5,3,6,1,7]=>[4,2,5,3,6,1,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[2,4,5,3,6,7,1]=>[4,2,5,3,6,7,1]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[2,4,5,3,7,1,6]=>[4,2,5,3,1,7,6]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[2,4,5,3,7,6,1]=>[7,4,2,5,3,6,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[2,4,5,6,1,3,7]=>[2,1,4,5,6,3,7]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[2,4,5,6,1,7,3]=>[4,2,5,6,7,1,3]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[2,4,5,6,3,1,7]=>[4,2,5,6,3,1,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[2,4,5,6,3,7,1]=>[4,2,5,6,3,7,1]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[2,4,5,6,7,1,3]=>[2,1,4,5,6,7,3]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[2,4,5,6,7,3,1]=>[4,2,5,6,7,3,1]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[2,4,5,7,1,3,6]=>[2,1,4,5,3,7,6]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[2,4,5,7,1,6,3]=>[4,2,5,7,1,6,3]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[2,4,5,7,3,1,6]=>[4,2,5,3,7,1,6]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[2,4,5,7,3,6,1]=>[4,2,5,3,7,6,1]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[2,4,5,7,6,1,3]=>[2,7,1,4,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[2,4,5,7,6,3,1]=>[7,4,2,5,6,3,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[2,4,6,1,3,5,7]=>[2,1,4,3,6,5,7]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[2,4,6,1,3,7,5]=>[6,2,1,4,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[2,4,6,1,5,3,7]=>[4,2,6,1,5,3,7]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[2,4,6,1,5,7,3]=>[4,2,6,1,5,7,3]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[2,4,6,1,7,3,5]=>[4,2,1,6,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[2,4,6,1,7,5,3]=>[6,4,2,7,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[2,4,6,3,1,5,7]=>[4,2,3,6,1,5,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[2,4,6,3,1,7,5]=>[6,4,2,7,3,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,4,6,3,5,1,7]=>[4,2,3,6,5,1,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[2,4,6,3,5,7,1]=>[4,2,3,6,5,7,1]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[2,4,6,3,7,1,5]=>[4,2,3,6,1,7,5]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[2,4,6,3,7,5,1]=>[6,4,2,7,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,4,6,5,1,3,7]=>[2,6,1,4,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[2,4,6,5,1,7,3]=>[6,4,2,5,7,1,3]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[2,4,6,5,3,1,7]=>[6,4,2,5,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[2,4,6,5,3,7,1]=>[6,4,2,5,3,7,1]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[2,4,6,5,7,1,3]=>[2,6,1,4,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[2,4,6,5,7,3,1]=>[6,4,2,5,7,3,1]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[2,4,6,7,1,3,5]=>[2,1,4,3,6,7,5]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[2,4,6,7,1,5,3]=>[4,2,6,1,7,5,3]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[2,4,6,7,3,1,5]=>[4,2,3,6,7,1,5]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[2,4,6,7,3,5,1]=>[4,2,3,6,7,5,1]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[2,4,6,7,5,1,3]=>[2,6,1,4,7,5,3]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[2,4,6,7,5,3,1]=>[6,4,2,7,5,3,1]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[2,4,7,1,3,5,6]=>[2,1,4,3,5,7,6]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[2,4,7,1,3,6,5]=>[7,2,1,4,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[2,4,7,1,5,3,6]=>[4,2,1,7,5,3,6]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[2,4,7,1,5,6,3]=>[4,2,5,1,7,6,3]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[2,4,7,1,6,3,5]=>[4,2,1,7,3,6,5]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[2,4,7,1,6,5,3]=>[7,4,2,6,1,5,3]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[2,4,7,3,1,5,6]=>[4,2,3,1,7,5,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[2,4,7,3,1,6,5]=>[7,4,2,3,6,1,5]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,4,7,3,5,1,6]=>[4,2,3,5,7,1,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[2,4,7,3,5,6,1]=>[4,2,3,5,7,6,1]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[2,4,7,3,6,1,5]=>[4,2,3,1,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[2,4,7,3,6,5,1]=>[7,4,2,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,4,7,5,1,3,6]=>[2,1,7,4,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[2,4,7,5,1,6,3]=>[7,2,4,5,6,1,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[2,4,7,5,3,1,6]=>[4,7,2,5,3,1,6]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[2,4,7,5,3,6,1]=>[4,7,2,5,3,6,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[2,4,7,5,6,1,3]=>[2,1,7,4,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[2,4,7,5,6,3,1]=>[7,2,4,5,6,3,1]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[2,4,7,6,1,3,5]=>[2,1,7,4,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[2,4,7,6,1,5,3]=>[7,2,4,6,1,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[2,4,7,6,3,1,5]=>[4,7,2,3,6,1,5]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[2,4,7,6,3,5,1]=>[4,7,2,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,4,7,6,5,1,3]=>[2,7,6,1,4,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[2,4,7,6,5,3,1]=>[7,6,4,2,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[2,5,1,3,4,6,7]=>[2,1,3,5,4,6,7]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[2,5,1,3,4,7,6]=>[7,2,1,3,5,4,6]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[2,5,1,3,6,4,7]=>[5,2,1,6,3,4,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,5,1,3,6,7,4]=>[5,2,1,6,3,7,4]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[2,5,1,3,7,4,6]=>[5,2,1,3,7,4,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,5,1,3,7,6,4]=>[7,5,2,1,6,3,4]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,5,1,4,3,6,7]=>[5,2,1,4,3,6,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[2,5,1,4,3,7,6]=>[7,5,2,1,4,3,6]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[2,5,1,4,6,3,7]=>[5,2,1,4,6,3,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[2,5,1,4,6,7,3]=>[5,2,1,4,6,7,3]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[2,5,1,4,7,3,6]=>[5,2,1,4,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[2,5,1,4,7,6,3]=>[7,5,2,1,4,6,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[2,5,1,6,3,4,7]=>[2,5,1,6,3,4,7]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[2,5,1,6,3,7,4]=>[5,6,2,7,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[2,5,1,6,4,3,7]=>[5,6,2,4,1,3,7]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[2,5,1,6,4,7,3]=>[5,6,2,4,1,7,3]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[2,5,1,6,7,3,4]=>[2,5,1,6,3,7,4]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[2,5,1,6,7,4,3]=>[5,6,2,7,1,4,3]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[2,5,1,7,3,4,6]=>[2,5,1,3,7,4,6]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[2,5,1,7,3,6,4]=>[5,7,2,1,6,3,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[2,5,1,7,4,3,6]=>[5,2,7,4,1,3,6]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[2,5,1,7,4,6,3]=>[5,7,2,1,4,6,3]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[2,5,1,7,6,3,4]=>[2,7,5,1,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[2,5,1,7,6,4,3]=>[7,5,6,2,4,1,3]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[2,5,3,1,4,6,7]=>[2,5,3,1,4,6,7]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[2,5,3,1,4,7,6]=>[7,2,5,3,1,4,6]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[2,5,3,1,6,4,7]=>[5,6,2,3,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,5,3,1,6,7,4]=>[5,6,2,3,1,7,4]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[2,5,3,1,7,4,6]=>[5,2,7,3,1,4,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,5,3,1,7,6,4]=>[7,5,6,2,3,1,4]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,5,3,4,1,6,7]=>[2,5,3,4,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[2,5,3,4,1,7,6]=>[7,2,5,3,4,1,6]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[2,5,3,4,6,1,7]=>[2,5,3,4,6,1,7]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[2,5,3,4,6,7,1]=>[2,5,3,4,6,7,1]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[2,5,3,4,7,1,6]=>[2,5,3,4,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,5,3,4,7,6,1]=>[7,2,5,3,4,6,1]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[2,5,3,6,1,4,7]=>[2,5,3,1,6,4,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,5,3,6,1,7,4]=>[5,6,2,3,7,1,4]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[2,5,3,6,4,1,7]=>[5,6,2,3,4,1,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,5,3,6,4,7,1]=>[5,6,2,3,4,7,1]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,5,3,6,7,1,4]=>[2,5,3,1,6,7,4]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,5,3,6,7,4,1]=>[5,6,2,3,7,4,1]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[2,5,3,7,1,4,6]=>[2,5,3,1,4,7,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,5,3,7,1,6,4]=>[5,7,2,3,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[2,5,3,7,4,1,6]=>[5,2,7,3,4,1,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,5,3,7,4,6,1]=>[5,2,7,3,4,6,1]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,5,3,7,6,1,4]=>[2,7,5,3,1,6,4]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,5,3,7,6,4,1]=>[7,5,6,2,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,5,4,1,3,6,7]=>[2,5,1,4,3,6,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[2,5,4,1,3,7,6]=>[7,2,5,1,4,3,6]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[2,5,4,1,6,3,7]=>[5,4,2,6,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[2,5,4,1,6,7,3]=>[5,4,2,6,1,7,3]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[2,5,4,1,7,3,6]=>[5,4,2,1,7,3,6]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[2,5,4,1,7,6,3]=>[7,5,4,2,6,1,3]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[2,5,4,3,1,6,7]=>[5,4,2,3,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[2,5,4,3,1,7,6]=>[7,5,4,2,3,1,6]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[2,5,4,3,6,1,7]=>[5,4,2,3,6,1,7]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[2,5,4,3,6,7,1]=>[5,4,2,3,6,7,1]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[2,5,4,3,7,1,6]=>[5,4,2,3,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[2,5,4,3,7,6,1]=>[7,5,4,2,3,6,1]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[2,5,4,6,1,3,7]=>[2,5,1,4,6,3,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[2,5,4,6,1,7,3]=>[5,4,2,6,7,1,3]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[2,5,4,6,3,1,7]=>[5,4,2,6,3,1,7]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[2,5,4,6,3,7,1]=>[5,4,2,6,3,7,1]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[2,5,4,6,7,1,3]=>[2,5,1,4,6,7,3]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[2,5,4,6,7,3,1]=>[5,4,2,6,7,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[2,5,4,7,1,3,6]=>[2,5,1,4,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[2,5,4,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[2,5,4,7,3,1,6]=>[5,4,2,3,7,1,6]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[2,5,4,7,3,6,1]=>[5,4,2,3,7,6,1]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[2,5,4,7,6,1,3]=>[2,7,5,1,4,6,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[2,5,4,7,6,3,1]=>[7,5,4,2,6,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[2,5,6,1,3,4,7]=>[2,1,3,5,6,4,7]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[2,5,6,1,3,7,4]=>[5,2,1,6,7,3,4]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[2,5,6,1,4,3,7]=>[5,2,1,6,4,3,7]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[2,5,6,1,4,7,3]=>[5,2,1,6,4,7,3]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[2,5,6,1,7,3,4]=>[2,5,1,6,7,3,4]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[2,5,6,1,7,4,3]=>[5,6,2,7,4,1,3]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[2,5,6,3,1,4,7]=>[2,5,3,6,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,5,6,3,1,7,4]=>[5,6,2,7,3,1,4]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[2,5,6,3,4,1,7]=>[2,5,3,6,4,1,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,5,6,3,4,7,1]=>[2,5,3,6,4,7,1]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,5,6,3,7,1,4]=>[2,5,3,6,1,7,4]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,5,6,3,7,4,1]=>[5,6,2,7,3,4,1]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[2,5,6,4,1,3,7]=>[2,5,1,6,4,3,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[2,5,6,4,1,7,3]=>[5,6,2,4,7,1,3]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[2,5,6,4,3,1,7]=>[5,6,2,4,3,1,7]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[2,5,6,4,3,7,1]=>[5,6,2,4,3,7,1]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[2,5,6,4,7,1,3]=>[2,5,1,6,4,7,3]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[2,5,6,4,7,3,1]=>[5,6,2,4,7,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[2,5,6,7,1,3,4]=>[2,1,3,5,6,7,4]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[2,5,6,7,1,4,3]=>[5,2,1,6,7,4,3]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[2,5,6,7,3,1,4]=>[2,5,3,6,7,1,4]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,5,6,7,3,4,1]=>[2,5,3,6,7,4,1]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,5,6,7,4,1,3]=>[2,5,1,6,7,4,3]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[2,5,6,7,4,3,1]=>[5,6,2,7,4,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[2,5,7,1,3,4,6]=>[2,1,3,5,4,7,6]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[2,5,7,1,3,6,4]=>[5,2,1,7,3,6,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[2,5,7,1,4,3,6]=>[5,2,1,4,7,3,6]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[2,5,7,1,4,6,3]=>[5,2,1,4,7,6,3]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[2,5,7,1,6,3,4]=>[2,5,1,7,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[2,5,7,1,6,4,3]=>[5,7,2,6,1,4,3]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[2,5,7,3,1,4,6]=>[2,5,3,1,7,4,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,5,7,3,1,6,4]=>[5,7,2,3,6,1,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[2,5,7,3,4,1,6]=>[2,5,3,4,7,1,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,5,7,3,4,6,1]=>[2,5,3,4,7,6,1]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,5,7,3,6,1,4]=>[2,5,3,1,7,6,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[2,5,7,3,6,4,1]=>[5,7,2,3,6,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,5,7,4,1,3,6]=>[2,5,1,4,7,3,6]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[2,5,7,4,1,6,3]=>[5,4,2,7,6,1,3]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[2,5,7,4,3,1,6]=>[5,2,7,4,3,1,6]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[2,5,7,4,3,6,1]=>[5,2,7,4,3,6,1]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[2,5,7,4,6,1,3]=>[2,5,1,4,7,6,3]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[2,5,7,4,6,3,1]=>[5,4,2,7,6,3,1]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[2,5,7,6,1,3,4]=>[2,1,7,3,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[2,5,7,6,1,4,3]=>[7,2,5,1,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[2,5,7,6,3,1,4]=>[2,7,5,3,6,1,4]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,5,7,6,3,4,1]=>[2,7,5,3,6,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,5,7,6,4,1,3]=>[2,7,5,1,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[2,5,7,6,4,3,1]=>[7,5,6,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[2,6,1,3,4,5,7]=>[2,1,3,4,6,5,7]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[2,6,1,3,4,7,5]=>[6,2,1,3,7,4,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,6,1,3,5,4,7]=>[6,2,1,3,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[2,6,1,3,5,7,4]=>[6,2,1,3,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[2,6,1,3,7,4,5]=>[2,6,1,3,7,4,5]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[2,6,1,3,7,5,4]=>[6,7,2,1,5,3,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[2,6,1,4,3,5,7]=>[2,6,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[2,6,1,4,3,7,5]=>[6,7,2,1,4,3,5]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[2,6,1,4,5,3,7]=>[4,2,1,6,5,3,7]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[2,6,1,4,5,7,3]=>[4,2,1,6,5,7,3]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[2,6,1,4,7,3,5]=>[2,6,1,4,3,7,5]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[2,6,1,4,7,5,3]=>[6,7,2,1,4,5,3]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[2,6,1,5,3,4,7]=>[2,6,1,3,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[2,6,1,5,3,7,4]=>[6,5,2,1,7,3,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,6,1,5,4,3,7]=>[6,5,2,1,4,3,7]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[2,6,1,5,4,7,3]=>[6,5,2,1,4,7,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[2,6,1,5,7,3,4]=>[2,6,1,3,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[2,6,1,5,7,4,3]=>[6,5,2,1,7,4,3]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[2,6,1,7,3,4,5]=>[2,1,6,3,7,4,5]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[2,6,1,7,3,5,4]=>[6,2,7,1,5,3,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[2,6,1,7,4,3,5]=>[2,6,7,4,1,3,5]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[2,6,1,7,4,5,3]=>[6,2,7,1,4,5,3]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[2,6,1,7,5,3,4]=>[2,6,7,1,5,3,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[2,6,1,7,5,4,3]=>[6,7,5,2,4,1,3]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[2,6,3,1,4,5,7]=>[2,3,6,1,4,5,7]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[2,6,3,1,4,7,5]=>[6,2,7,3,1,4,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,6,3,1,5,4,7]=>[6,2,5,3,1,4,7]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[2,6,3,1,5,7,4]=>[6,2,5,3,1,7,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,6,3,1,7,4,5]=>[2,6,7,3,1,4,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,6,3,1,7,5,4]=>[6,7,5,2,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,6,3,4,1,5,7]=>[2,3,6,4,1,5,7]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[2,6,3,4,1,7,5]=>[6,2,7,3,4,1,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,6,3,4,5,1,7]=>[2,3,6,4,5,1,7]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[2,6,3,4,5,7,1]=>[2,3,6,4,5,7,1]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[2,6,3,4,7,1,5]=>[2,3,6,4,1,7,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,6,3,4,7,5,1]=>[6,2,7,3,4,5,1]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,6,3,5,1,4,7]=>[2,3,6,1,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[2,6,3,5,1,7,4]=>[6,2,5,3,7,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,6,3,5,4,1,7]=>[6,2,5,3,4,1,7]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[2,6,3,5,4,7,1]=>[6,2,5,3,4,7,1]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[2,6,3,5,7,1,4]=>[2,3,6,1,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[2,6,3,5,7,4,1]=>[6,2,5,3,7,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,6,3,7,1,4,5]=>[2,3,6,1,4,7,5]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[2,6,3,7,1,5,4]=>[6,2,7,3,1,5,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[2,6,3,7,4,1,5]=>[2,6,7,3,4,1,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,6,3,7,4,5,1]=>[2,6,7,3,4,5,1]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,6,3,7,5,1,4]=>[2,6,7,3,1,5,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[2,6,3,7,5,4,1]=>[6,7,5,2,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,6,4,1,3,5,7]=>[2,1,6,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[2,6,4,1,3,7,5]=>[6,2,7,1,4,3,5]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[2,6,4,1,5,3,7]=>[6,2,4,5,1,3,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[2,6,4,1,5,7,3]=>[6,2,4,5,1,7,3]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[2,6,4,1,7,3,5]=>[4,6,2,1,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[2,6,4,1,7,5,3]=>[6,7,4,2,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[2,6,4,3,1,5,7]=>[4,6,2,3,1,5,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[2,6,4,3,1,7,5]=>[6,7,4,2,3,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,6,4,3,5,1,7]=>[4,6,2,3,5,1,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[2,6,4,3,5,7,1]=>[4,6,2,3,5,7,1]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[2,6,4,3,7,1,5]=>[4,6,2,3,1,7,5]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[2,6,4,3,7,5,1]=>[6,7,4,2,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,6,4,5,1,3,7]=>[2,1,6,4,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[2,6,4,5,1,7,3]=>[6,2,4,5,7,1,3]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[2,6,4,5,3,1,7]=>[6,2,4,5,3,1,7]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[2,6,4,5,3,7,1]=>[6,2,4,5,3,7,1]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[2,6,4,5,7,1,3]=>[2,1,6,4,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[2,6,4,5,7,3,1]=>[6,2,4,5,7,3,1]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[2,6,4,7,1,3,5]=>[2,1,6,4,3,7,5]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[2,6,4,7,1,5,3]=>[6,2,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[2,6,4,7,3,1,5]=>[4,6,2,3,7,1,5]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[2,6,4,7,3,5,1]=>[4,6,2,3,7,5,1]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[2,6,4,7,5,1,3]=>[2,6,7,1,4,5,3]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[2,6,4,7,5,3,1]=>[6,7,4,2,5,3,1]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[2,6,5,1,3,4,7]=>[2,1,6,3,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[2,6,5,1,3,7,4]=>[6,2,5,1,7,3,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[2,6,5,1,4,3,7]=>[6,2,5,1,4,3,7]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[2,6,5,1,4,7,3]=>[6,2,5,1,4,7,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[2,6,5,1,7,3,4]=>[2,6,5,1,7,3,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[2,6,5,1,7,4,3]=>[6,5,7,2,4,1,3]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[2,6,5,3,1,4,7]=>[2,6,5,3,1,4,7]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[2,6,5,3,1,7,4]=>[6,5,7,2,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,6,5,3,4,1,7]=>[2,6,5,3,4,1,7]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[2,6,5,3,4,7,1]=>[2,6,5,3,4,7,1]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[2,6,5,3,7,1,4]=>[2,6,5,3,1,7,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,6,5,3,7,4,1]=>[6,5,7,2,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,6,5,4,1,3,7]=>[2,6,5,1,4,3,7]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[2,6,5,4,1,7,3]=>[6,5,4,2,7,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[2,6,5,4,3,1,7]=>[6,5,4,2,3,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[2,6,5,4,3,7,1]=>[6,5,4,2,3,7,1]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[2,6,5,4,7,1,3]=>[2,6,5,1,4,7,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[2,6,5,4,7,3,1]=>[6,5,4,2,7,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[2,6,5,7,1,3,4]=>[2,1,6,3,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[2,6,5,7,1,4,3]=>[6,2,5,1,7,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[2,6,5,7,3,1,4]=>[2,6,5,3,7,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,6,5,7,3,4,1]=>[2,6,5,3,7,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,6,5,7,4,1,3]=>[2,6,5,1,7,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[2,6,5,7,4,3,1]=>[6,5,7,2,4,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[2,6,7,1,3,4,5]=>[2,1,3,4,6,7,5]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[2,6,7,1,3,5,4]=>[6,2,1,3,7,5,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[2,6,7,1,4,3,5]=>[2,6,1,4,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[2,6,7,1,4,5,3]=>[4,2,1,6,7,5,3]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[2,6,7,1,5,3,4]=>[2,6,1,3,7,5,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[2,6,7,1,5,4,3]=>[6,7,2,1,5,4,3]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[2,6,7,3,1,4,5]=>[2,3,6,1,7,4,5]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[2,6,7,3,1,5,4]=>[6,2,7,3,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[2,6,7,3,4,1,5]=>[2,3,6,4,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,6,7,3,4,5,1]=>[2,3,6,4,7,5,1]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,6,7,3,5,1,4]=>[2,3,6,1,7,5,4]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[2,6,7,3,5,4,1]=>[6,2,7,3,5,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,6,7,4,1,3,5]=>[2,1,6,4,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[2,6,7,4,1,5,3]=>[6,2,4,7,5,1,3]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[2,6,7,4,3,1,5]=>[2,6,7,4,3,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,6,7,4,3,5,1]=>[2,6,7,4,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,6,7,4,5,1,3]=>[2,1,6,4,7,5,3]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[2,6,7,4,5,3,1]=>[6,2,4,7,5,3,1]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,6,7,5,1,3,4]=>[2,1,6,3,7,5,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[2,6,7,5,1,4,3]=>[6,2,7,1,5,4,3]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[2,6,7,5,3,1,4]=>[2,6,7,3,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[2,6,7,5,3,4,1]=>[2,6,7,3,5,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,6,7,5,4,1,3]=>[2,6,7,1,5,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[2,6,7,5,4,3,1]=>[6,7,5,2,4,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[2,7,1,3,4,5,6]=>[2,1,3,4,5,7,6]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[2,7,1,3,4,6,5]=>[7,2,1,3,4,6,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[2,7,1,3,5,4,6]=>[2,7,1,3,5,4,6]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[2,7,1,3,5,6,4]=>[5,2,1,3,7,6,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[2,7,1,3,6,4,5]=>[2,7,1,3,4,6,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[2,7,1,3,6,5,4]=>[7,6,2,1,3,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[2,7,1,4,3,5,6]=>[2,1,7,4,3,5,6]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[2,7,1,4,3,6,5]=>[7,2,6,1,4,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[2,7,1,4,5,3,6]=>[4,2,1,5,7,3,6]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[2,7,1,4,5,6,3]=>[4,2,1,5,7,6,3]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[2,7,1,4,6,3,5]=>[4,2,1,3,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[2,7,1,4,6,5,3]=>[7,4,2,1,6,5,3]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[2,7,1,5,3,4,6]=>[2,1,7,3,5,4,6]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[2,7,1,5,3,6,4]=>[7,2,5,1,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[2,7,1,5,4,3,6]=>[5,7,2,1,4,3,6]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[2,7,1,5,4,6,3]=>[7,2,5,1,4,6,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[2,7,1,5,6,3,4]=>[2,5,1,3,7,6,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[2,7,1,5,6,4,3]=>[5,7,2,1,6,4,3]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[2,7,1,6,3,4,5]=>[2,1,7,3,4,6,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[2,7,1,6,3,5,4]=>[7,2,6,1,3,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[2,7,1,6,4,3,5]=>[2,7,6,1,4,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[2,7,1,6,4,5,3]=>[7,2,4,1,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[2,7,1,6,5,3,4]=>[2,7,6,1,3,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[2,7,1,6,5,4,3]=>[7,6,5,2,1,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[2,7,3,1,4,5,6]=>[2,3,1,7,4,5,6]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[2,7,3,1,4,6,5]=>[7,2,3,6,1,4,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[2,7,3,1,5,4,6]=>[2,7,5,3,1,4,6]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[2,7,3,1,5,6,4]=>[7,2,3,5,1,6,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[2,7,3,1,6,4,5]=>[2,7,3,6,1,4,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[2,7,3,1,6,5,4]=>[7,6,2,5,3,1,4]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[2,7,3,4,1,5,6]=>[2,3,4,7,1,5,6]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[2,7,3,4,1,6,5]=>[7,2,3,6,4,1,5]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[2,7,3,4,5,1,6]=>[2,3,4,7,5,1,6]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[2,7,3,4,5,6,1]=>[2,3,4,7,5,6,1]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[2,7,3,4,6,1,5]=>[2,3,4,7,1,6,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[2,7,3,4,6,5,1]=>[7,2,3,6,4,5,1]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[2,7,3,5,1,4,6]=>[2,3,1,7,5,4,6]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[2,7,3,5,1,6,4]=>[7,2,3,5,6,1,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[2,7,3,5,4,1,6]=>[2,7,5,3,4,1,6]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[2,7,3,5,4,6,1]=>[2,7,5,3,4,6,1]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[2,7,3,5,6,1,4]=>[2,3,1,7,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[2,7,3,5,6,4,1]=>[7,2,3,5,6,4,1]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[2,7,3,6,1,4,5]=>[2,3,1,7,4,6,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[2,7,3,6,1,5,4]=>[7,2,3,6,1,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[2,7,3,6,4,1,5]=>[2,7,3,6,4,1,5]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[2,7,3,6,4,5,1]=>[2,7,3,6,4,5,1]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[2,7,3,6,5,1,4]=>[2,7,3,6,1,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[2,7,3,6,5,4,1]=>[7,6,2,5,3,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[2,7,4,1,3,5,6]=>[2,1,4,7,3,5,6]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[2,7,4,1,3,6,5]=>[7,2,1,6,4,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[2,7,4,1,5,3,6]=>[2,7,4,5,1,3,6]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[2,7,4,1,5,6,3]=>[4,2,7,5,1,6,3]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[2,7,4,1,6,3,5]=>[2,7,4,1,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[2,7,4,1,6,5,3]=>[7,6,2,4,5,1,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[2,7,4,3,1,5,6]=>[4,2,7,3,1,5,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[2,7,4,3,1,6,5]=>[7,4,6,2,3,1,5]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,7,4,3,5,1,6]=>[4,2,7,3,5,1,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[2,7,4,3,5,6,1]=>[4,2,7,3,5,6,1]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[2,7,4,3,6,1,5]=>[4,2,7,3,1,6,5]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[2,7,4,3,6,5,1]=>[7,4,6,2,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,7,4,5,1,3,6]=>[2,1,4,7,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[2,7,4,5,1,6,3]=>[4,2,7,5,6,1,3]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[2,7,4,5,3,1,6]=>[2,7,4,5,3,1,6]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[2,7,4,5,3,6,1]=>[2,7,4,5,3,6,1]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[2,7,4,5,6,1,3]=>[2,1,4,7,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[2,7,4,5,6,3,1]=>[4,2,7,5,6,3,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[2,7,4,6,1,3,5]=>[2,1,4,7,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[2,7,4,6,1,5,3]=>[4,2,7,6,1,5,3]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[2,7,4,6,3,1,5]=>[2,7,4,3,6,1,5]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,7,4,6,3,5,1]=>[2,7,4,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,7,4,6,5,1,3]=>[2,7,1,6,4,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[2,7,4,6,5,3,1]=>[7,6,2,4,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[2,7,5,1,3,4,6]=>[2,1,3,7,5,4,6]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[2,7,5,1,3,6,4]=>[7,2,1,5,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[2,7,5,1,4,3,6]=>[2,7,5,1,4,3,6]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[2,7,5,1,4,6,3]=>[7,2,1,5,4,6,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[2,7,5,1,6,3,4]=>[2,7,1,5,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[2,7,5,1,6,4,3]=>[7,5,2,6,4,1,3]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[2,7,5,3,1,4,6]=>[2,5,7,3,1,4,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,7,5,3,1,6,4]=>[5,7,6,2,3,1,4]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,7,5,3,4,1,6]=>[2,5,7,3,4,1,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,7,5,3,4,6,1]=>[2,5,7,3,4,6,1]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,7,5,3,6,1,4]=>[2,5,7,3,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[2,7,5,3,6,4,1]=>[5,7,6,2,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,7,5,4,1,3,6]=>[2,5,7,1,4,3,6]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[2,7,5,4,1,6,3]=>[5,7,4,2,6,1,3]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[2,7,5,4,3,1,6]=>[5,7,4,2,3,1,6]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[2,7,5,4,3,6,1]=>[5,7,4,2,3,6,1]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[2,7,5,4,6,1,3]=>[2,5,7,1,4,6,3]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[2,7,5,4,6,3,1]=>[5,7,4,2,6,3,1]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[2,7,5,6,1,3,4]=>[2,1,3,7,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[2,7,5,6,1,4,3]=>[7,2,1,5,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[2,7,5,6,3,1,4]=>[2,7,3,5,6,1,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[2,7,5,6,3,4,1]=>[2,7,3,5,6,4,1]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[2,7,5,6,4,1,3]=>[2,7,1,5,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[2,7,5,6,4,3,1]=>[7,5,2,6,4,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[2,7,6,1,3,4,5]=>[2,1,3,7,4,6,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[2,7,6,1,3,5,4]=>[7,2,1,6,3,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[2,7,6,1,4,3,5]=>[2,7,1,6,4,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[2,7,6,1,4,5,3]=>[7,2,1,4,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[2,7,6,1,5,3,4]=>[2,7,1,6,3,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[2,7,6,1,5,4,3]=>[7,6,2,5,1,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[2,7,6,3,1,4,5]=>[2,3,7,6,1,4,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[2,7,6,3,1,5,4]=>[7,2,6,5,3,1,4]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[2,7,6,3,4,1,5]=>[2,3,7,6,4,1,5]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[2,7,6,3,4,5,1]=>[2,3,7,6,4,5,1]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[2,7,6,3,5,1,4]=>[2,3,7,6,1,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[2,7,6,3,5,4,1]=>[7,2,6,5,3,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[2,7,6,4,1,3,5]=>[2,1,7,6,4,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[2,7,6,4,1,5,3]=>[7,2,6,4,5,1,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[2,7,6,4,3,1,5]=>[4,7,6,2,3,1,5]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,7,6,4,3,5,1]=>[4,7,6,2,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,7,6,4,5,1,3]=>[2,1,7,6,4,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[2,7,6,4,5,3,1]=>[7,2,6,4,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[2,7,6,5,1,3,4]=>[2,1,7,6,3,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[2,7,6,5,1,4,3]=>[7,2,6,5,1,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[2,7,6,5,3,1,4]=>[2,7,6,5,3,1,4]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[2,7,6,5,3,4,1]=>[2,7,6,5,3,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[2,7,6,5,4,1,3]=>[2,7,6,5,1,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[2,7,6,5,4,3,1]=>[7,6,5,4,2,3,1]=>[[1,3],[2],[4],[5],[6],[7]]=>[2,5]
[3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>[3,4]
[3,1,2,4,5,7,6]=>[7,1,3,2,4,5,6]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[3,1,2,4,6,5,7]=>[6,1,3,2,4,5,7]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[3,1,2,4,6,7,5]=>[6,1,3,2,4,7,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[3,1,2,4,7,5,6]=>[1,7,3,2,4,5,6]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[3,1,2,4,7,6,5]=>[7,6,1,3,2,4,5]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[3,1,2,5,4,6,7]=>[5,1,3,2,4,6,7]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[3,1,2,5,4,7,6]=>[7,5,1,3,2,4,6]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[3,1,2,5,6,4,7]=>[5,1,3,2,6,4,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[3,1,2,5,6,7,4]=>[5,1,3,2,6,7,4]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[3,1,2,5,7,4,6]=>[5,1,3,2,4,7,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[3,1,2,5,7,6,4]=>[7,5,1,3,2,6,4]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[3,1,2,6,4,5,7]=>[1,6,3,2,4,5,7]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[3,1,2,6,4,7,5]=>[6,7,1,3,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[3,1,2,6,5,4,7]=>[6,5,1,3,2,4,7]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[3,1,2,6,5,7,4]=>[6,5,1,3,2,7,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[3,1,2,6,7,4,5]=>[1,6,3,2,4,7,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[3,1,2,6,7,5,4]=>[6,7,1,3,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[3,1,2,7,4,5,6]=>[1,3,7,2,4,5,6]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[3,1,2,7,4,6,5]=>[7,1,6,3,2,4,5]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[3,1,2,7,5,4,6]=>[5,7,1,3,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[3,1,2,7,5,6,4]=>[7,1,5,3,2,6,4]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[3,1,2,7,6,4,5]=>[1,7,6,3,2,4,5]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[3,1,2,7,6,5,4]=>[7,6,5,1,3,2,4]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[3,1,4,2,5,6,7]=>[3,4,1,2,5,6,7]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[3,1,4,2,5,7,6]=>[7,3,4,1,2,5,6]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,1,4,2,6,5,7]=>[6,3,4,1,2,5,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,1,4,2,6,7,5]=>[6,3,4,1,2,7,5]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[3,1,4,2,7,5,6]=>[3,7,4,1,2,5,6]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,1,4,2,7,6,5]=>[7,6,3,4,1,2,5]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,1,4,5,2,6,7]=>[3,4,1,5,2,6,7]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[3,1,4,5,2,7,6]=>[7,3,4,1,5,2,6]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,1,4,5,6,2,7]=>[3,4,1,5,6,2,7]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[3,1,4,5,6,7,2]=>[3,4,1,5,6,7,2]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[3,1,4,5,7,2,6]=>[3,4,1,5,2,7,6]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[3,1,4,5,7,6,2]=>[7,3,4,1,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,1,4,6,2,5,7]=>[3,4,1,2,6,5,7]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[3,1,4,6,2,7,5]=>[6,3,4,1,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[3,1,4,6,5,2,7]=>[6,3,4,1,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,1,4,6,5,7,2]=>[6,3,4,1,5,7,2]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,1,4,6,7,2,5]=>[3,4,1,2,6,7,5]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[3,1,4,6,7,5,2]=>[6,3,4,1,7,5,2]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[3,1,4,7,2,5,6]=>[3,4,1,2,5,7,6]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[3,1,4,7,2,6,5]=>[7,3,4,1,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[3,1,4,7,5,2,6]=>[3,7,4,1,5,2,6]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,1,4,7,5,6,2]=>[3,7,4,1,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,1,4,7,6,2,5]=>[3,7,4,1,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[3,1,4,7,6,5,2]=>[7,6,3,4,1,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,1,5,2,4,6,7]=>[3,1,5,2,4,6,7]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[3,1,5,2,4,7,6]=>[7,3,1,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[3,1,5,2,6,4,7]=>[5,3,6,1,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[3,1,5,2,6,7,4]=>[5,3,6,1,2,7,4]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[3,1,5,2,7,4,6]=>[5,3,1,7,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[3,1,5,2,7,6,4]=>[7,5,3,6,1,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[3,1,5,4,2,6,7]=>[5,3,4,1,2,6,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[3,1,5,4,2,7,6]=>[7,5,3,4,1,2,6]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[3,1,5,4,6,2,7]=>[5,3,4,1,6,2,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[3,1,5,4,6,7,2]=>[5,3,4,1,6,7,2]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[3,1,5,4,7,2,6]=>[5,3,4,1,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[3,1,5,4,7,6,2]=>[7,5,3,4,1,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[3,1,5,6,2,4,7]=>[3,1,5,2,6,4,7]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[3,1,5,6,2,7,4]=>[5,3,6,1,7,2,4]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[3,1,5,6,4,2,7]=>[5,3,6,1,4,2,7]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[3,1,5,6,4,7,2]=>[5,3,6,1,4,7,2]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[3,1,5,6,7,2,4]=>[3,1,5,2,6,7,4]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[3,1,5,6,7,4,2]=>[5,3,6,1,7,4,2]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[3,1,5,7,2,4,6]=>[3,1,5,2,4,7,6]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[3,1,5,7,2,6,4]=>[5,3,7,1,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[3,1,5,7,4,2,6]=>[5,3,1,7,4,2,6]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[3,1,5,7,4,6,2]=>[5,3,4,1,7,6,2]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[3,1,5,7,6,2,4]=>[3,7,1,5,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[3,1,5,7,6,4,2]=>[7,5,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[3,1,6,2,4,5,7]=>[3,1,2,6,4,5,7]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[3,1,6,2,4,7,5]=>[6,3,1,7,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[3,1,6,2,5,4,7]=>[6,3,1,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[3,1,6,2,5,7,4]=>[6,3,1,5,2,7,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[3,1,6,2,7,4,5]=>[3,6,1,7,2,4,5]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[3,1,6,2,7,5,4]=>[6,7,3,5,1,2,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[3,1,6,4,2,5,7]=>[3,6,4,1,2,5,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,1,6,4,2,7,5]=>[6,7,3,4,1,2,5]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[3,1,6,4,5,2,7]=>[3,6,4,1,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,1,6,4,5,7,2]=>[3,6,4,1,5,7,2]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,1,6,4,7,2,5]=>[3,6,4,1,2,7,5]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[3,1,6,4,7,5,2]=>[6,7,3,4,1,5,2]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[3,1,6,5,2,4,7]=>[3,6,1,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[3,1,6,5,2,7,4]=>[6,5,3,7,1,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[3,1,6,5,4,2,7]=>[6,5,3,4,1,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[3,1,6,5,4,7,2]=>[6,5,3,4,1,7,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[3,1,6,5,7,2,4]=>[3,6,1,5,2,7,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[3,1,6,5,7,4,2]=>[6,5,3,7,1,4,2]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[3,1,6,7,2,4,5]=>[3,1,2,6,4,7,5]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[3,1,6,7,2,5,4]=>[6,3,1,7,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[3,1,6,7,4,2,5]=>[3,6,1,7,4,2,5]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[3,1,6,7,4,5,2]=>[3,6,4,1,7,5,2]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[3,1,6,7,5,2,4]=>[3,6,1,7,2,5,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[3,1,6,7,5,4,2]=>[6,7,3,5,1,4,2]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[3,1,7,2,4,5,6]=>[3,1,2,4,7,5,6]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[3,1,7,2,4,6,5]=>[7,3,1,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[3,1,7,2,5,4,6]=>[3,7,1,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[3,1,7,2,5,6,4]=>[7,3,1,2,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[3,1,7,2,6,4,5]=>[3,7,1,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[3,1,7,2,6,5,4]=>[7,6,3,1,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[3,1,7,4,2,5,6]=>[3,4,7,1,2,5,6]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[3,1,7,4,2,6,5]=>[7,3,6,4,1,2,5]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,1,7,4,5,2,6]=>[3,4,7,1,5,2,6]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,1,7,4,5,6,2]=>[3,7,1,4,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,1,7,4,6,2,5]=>[3,4,7,1,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[3,1,7,4,6,5,2]=>[7,3,6,4,1,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,1,7,5,2,4,6]=>[3,1,7,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[3,1,7,5,2,6,4]=>[7,3,5,6,1,2,4]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[3,1,7,5,4,2,6]=>[5,7,3,4,1,2,6]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[3,1,7,5,4,6,2]=>[5,7,3,4,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[3,1,7,5,6,2,4]=>[3,1,7,5,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[3,1,7,5,6,4,2]=>[7,3,5,6,1,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[3,1,7,6,2,4,5]=>[3,1,7,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[3,1,7,6,2,5,4]=>[7,3,6,1,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[3,1,7,6,4,2,5]=>[3,7,6,4,1,2,5]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,1,7,6,4,5,2]=>[3,7,6,4,1,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,1,7,6,5,2,4]=>[3,7,6,1,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[3,1,7,6,5,4,2]=>[7,6,5,3,4,1,2]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[3,2,1,4,5,7,6]=>[7,3,2,1,4,5,6]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[3,2,1,4,6,5,7]=>[6,3,2,1,4,5,7]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[3,2,1,4,6,7,5]=>[6,3,2,1,4,7,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,2,1,4,7,5,6]=>[3,7,2,1,4,5,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,2,1,4,7,6,5]=>[7,6,3,2,1,4,5]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[3,2,1,5,4,6,7]=>[5,3,2,1,4,6,7]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[3,2,1,5,4,7,6]=>[7,5,3,2,1,4,6]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[3,2,1,5,6,4,7]=>[5,3,2,1,6,4,7]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,2,1,5,6,7,4]=>[5,3,2,1,6,7,4]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,2,1,5,7,4,6]=>[5,3,2,1,4,7,6]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,2,1,5,7,6,4]=>[7,5,3,2,1,6,4]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[3,2,1,6,4,5,7]=>[3,6,2,1,4,5,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,2,1,6,4,7,5]=>[6,7,3,2,1,4,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,2,1,6,5,4,7]=>[6,5,3,2,1,4,7]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[3,2,1,6,5,7,4]=>[6,5,3,2,1,7,4]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[3,2,1,6,7,4,5]=>[3,6,2,1,4,7,5]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[3,2,1,6,7,5,4]=>[6,7,3,2,1,5,4]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[3,2,1,7,4,5,6]=>[3,2,7,1,4,5,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,2,1,7,4,6,5]=>[7,3,6,2,1,4,5]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,2,1,7,5,4,6]=>[5,7,3,2,1,4,6]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,2,1,7,5,6,4]=>[7,3,5,2,1,6,4]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[3,2,1,7,6,4,5]=>[3,7,6,2,1,4,5]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,2,1,7,6,5,4]=>[7,6,5,3,2,1,4]=>[[1,4],[2],[3],[5],[6],[7]]=>[3,4]
[3,2,4,1,5,6,7]=>[3,2,4,1,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[3,2,4,1,5,7,6]=>[7,3,2,4,1,5,6]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[3,2,4,1,6,5,7]=>[6,3,2,4,1,5,7]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[3,2,4,1,6,7,5]=>[6,3,2,4,1,7,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,2,4,1,7,5,6]=>[3,7,2,4,1,5,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,2,4,1,7,6,5]=>[7,6,3,2,4,1,5]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[3,2,4,5,1,6,7]=>[3,2,4,5,1,6,7]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[3,2,4,5,1,7,6]=>[7,3,2,4,5,1,6]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[3,2,4,5,6,1,7]=>[3,2,4,5,6,1,7]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[3,2,4,5,6,7,1]=>[3,2,4,5,6,7,1]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[3,2,4,5,7,1,6]=>[3,2,4,5,1,7,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,2,4,5,7,6,1]=>[7,3,2,4,5,6,1]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[3,2,4,6,1,5,7]=>[3,2,4,1,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,2,4,6,1,7,5]=>[6,3,2,4,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,2,4,6,5,1,7]=>[6,3,2,4,5,1,7]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[3,2,4,6,5,7,1]=>[6,3,2,4,5,7,1]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[3,2,4,6,7,1,5]=>[3,2,4,1,6,7,5]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,2,4,6,7,5,1]=>[6,3,2,4,7,5,1]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,2,4,7,1,5,6]=>[3,2,4,1,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,2,4,7,1,6,5]=>[7,3,2,4,1,6,5]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,2,4,7,5,1,6]=>[3,7,2,4,5,1,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,2,4,7,5,6,1]=>[3,7,2,4,5,6,1]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,2,4,7,6,1,5]=>[3,7,2,4,1,6,5]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[3,2,4,7,6,5,1]=>[7,6,3,2,4,5,1]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[3,2,5,1,4,6,7]=>[3,2,1,5,4,6,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[3,2,5,1,4,7,6]=>[7,3,2,1,5,4,6]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[3,2,5,1,6,4,7]=>[5,3,2,6,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,2,5,1,6,7,4]=>[5,3,2,6,1,7,4]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,2,5,1,7,4,6]=>[5,3,2,1,7,4,6]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,2,5,1,7,6,4]=>[7,5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[3,2,5,4,1,6,7]=>[5,3,2,4,1,6,7]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[3,2,5,4,1,7,6]=>[7,5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[3,2,5,4,6,1,7]=>[5,3,2,4,6,1,7]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[3,2,5,4,6,7,1]=>[5,3,2,4,6,7,1]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[3,2,5,4,7,1,6]=>[5,3,2,4,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,2,5,4,7,6,1]=>[7,5,3,2,4,6,1]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[3,2,5,6,1,4,7]=>[3,2,1,5,6,4,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[3,2,5,6,1,7,4]=>[5,3,2,6,7,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,2,5,6,4,1,7]=>[5,3,2,6,4,1,7]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,2,5,6,4,7,1]=>[5,3,2,6,4,7,1]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,2,5,6,7,1,4]=>[3,2,1,5,6,7,4]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[3,2,5,6,7,4,1]=>[5,3,2,6,7,4,1]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,2,5,7,1,4,6]=>[3,2,1,5,4,7,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[3,2,5,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[3,2,5,7,4,1,6]=>[5,3,2,4,7,1,6]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,2,5,7,4,6,1]=>[5,3,2,4,7,6,1]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,2,5,7,6,1,4]=>[3,7,2,1,5,6,4]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[3,2,5,7,6,4,1]=>[7,5,3,2,6,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[3,2,6,1,4,5,7]=>[3,2,1,4,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,2,6,1,4,7,5]=>[6,3,2,1,7,4,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,2,6,1,5,4,7]=>[6,3,2,1,5,4,7]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[3,2,6,1,5,7,4]=>[6,3,2,1,5,7,4]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[3,2,6,1,7,4,5]=>[3,6,2,1,7,4,5]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[3,2,6,1,7,5,4]=>[6,7,3,2,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[3,2,6,4,1,5,7]=>[3,6,2,4,1,5,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,2,6,4,1,7,5]=>[6,7,3,2,4,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,2,6,4,5,1,7]=>[3,6,2,4,5,1,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,2,6,4,5,7,1]=>[3,6,2,4,5,7,1]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,2,6,4,7,1,5]=>[3,6,2,4,1,7,5]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[3,2,6,4,7,5,1]=>[6,7,3,2,4,5,1]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,2,6,5,1,4,7]=>[3,6,2,1,5,4,7]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[3,2,6,5,1,7,4]=>[6,5,3,2,7,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[3,2,6,5,4,1,7]=>[6,5,3,2,4,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[3,2,6,5,4,7,1]=>[6,5,3,2,4,7,1]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[3,2,6,5,7,1,4]=>[3,6,2,1,5,7,4]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[3,2,6,5,7,4,1]=>[6,5,3,2,7,4,1]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[3,2,6,7,1,4,5]=>[3,2,1,4,6,7,5]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,2,6,7,1,5,4]=>[6,3,2,1,7,5,4]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[3,2,6,7,4,1,5]=>[3,6,2,4,7,1,5]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[3,2,6,7,4,5,1]=>[3,6,2,4,7,5,1]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[3,2,6,7,5,1,4]=>[3,6,2,1,7,5,4]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[3,2,6,7,5,4,1]=>[6,7,3,2,5,4,1]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[3,2,7,1,4,5,6]=>[3,2,1,4,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,2,7,1,4,6,5]=>[7,3,2,1,4,6,5]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,2,7,1,5,4,6]=>[3,7,2,1,5,4,6]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[3,2,7,1,5,6,4]=>[5,3,2,1,7,6,4]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[3,2,7,1,6,4,5]=>[3,7,2,1,4,6,5]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[3,2,7,1,6,5,4]=>[7,6,3,2,1,5,4]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[3,2,7,4,1,5,6]=>[3,2,7,4,1,5,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,2,7,4,1,6,5]=>[7,3,6,2,4,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,2,7,4,5,1,6]=>[3,2,7,4,5,1,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,2,7,4,5,6,1]=>[3,2,7,4,5,6,1]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,2,7,4,6,1,5]=>[3,2,7,4,1,6,5]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[3,2,7,4,6,5,1]=>[7,3,6,2,4,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,2,7,5,1,4,6]=>[3,2,7,1,5,4,6]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[3,2,7,5,1,6,4]=>[7,3,5,2,6,1,4]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[3,2,7,5,4,1,6]=>[5,7,3,2,4,1,6]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,2,7,5,4,6,1]=>[5,7,3,2,4,6,1]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,2,7,5,6,1,4]=>[3,2,7,1,5,6,4]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[3,2,7,5,6,4,1]=>[7,3,5,2,6,4,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[3,2,7,6,1,4,5]=>[3,2,7,1,4,6,5]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[3,2,7,6,1,5,4]=>[7,3,6,2,1,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[3,2,7,6,4,1,5]=>[3,7,6,2,4,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,2,7,6,4,5,1]=>[3,7,6,2,4,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,2,7,6,5,1,4]=>[3,7,6,2,1,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[3,2,7,6,5,4,1]=>[7,6,5,3,2,4,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[3,4]
[3,4,1,2,5,6,7]=>[1,3,4,2,5,6,7]=>[[1,2,4,5,6,7],[3]]=>[3,4]
[3,4,1,2,5,7,6]=>[7,1,3,4,2,5,6]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[3,4,1,2,6,5,7]=>[6,1,3,4,2,5,7]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[3,4,1,2,6,7,5]=>[6,1,3,4,2,7,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[3,4,1,2,7,5,6]=>[1,7,3,4,2,5,6]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[3,4,1,2,7,6,5]=>[7,6,1,3,4,2,5]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[3,4,1,5,2,6,7]=>[3,4,5,1,2,6,7]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[3,4,1,5,2,7,6]=>[7,3,4,5,1,2,6]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,4,1,5,6,2,7]=>[3,4,5,1,6,2,7]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[3,4,1,5,6,7,2]=>[3,4,5,1,6,7,2]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[3,4,1,5,7,2,6]=>[3,4,5,1,2,7,6]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[3,4,1,5,7,6,2]=>[7,3,4,5,1,6,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,4,1,6,2,5,7]=>[3,4,1,6,2,5,7]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[3,4,1,6,2,7,5]=>[6,3,4,7,1,2,5]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[3,4,1,6,5,2,7]=>[6,3,4,5,1,2,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,4,1,6,5,7,2]=>[6,3,4,5,1,7,2]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,4,1,6,7,2,5]=>[3,4,1,6,2,7,5]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[3,4,1,6,7,5,2]=>[6,3,4,7,1,5,2]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[3,4,1,7,2,5,6]=>[3,4,1,2,7,5,6]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[3,4,1,7,2,6,5]=>[7,3,4,1,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[3,4,1,7,5,2,6]=>[3,7,4,5,1,2,6]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,4,1,7,5,6,2]=>[3,7,4,5,1,6,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,4,1,7,6,2,5]=>[3,7,4,1,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[3,4,1,7,6,5,2]=>[7,6,3,4,5,1,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,4,2,1,5,6,7]=>[3,4,2,1,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[3,4,2,1,5,7,6]=>[7,3,4,2,1,5,6]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[3,4,2,1,6,5,7]=>[6,3,4,2,1,5,7]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[3,4,2,1,6,7,5]=>[6,3,4,2,1,7,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,4,2,1,7,5,6]=>[3,7,4,2,1,5,6]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[3,4,2,1,7,6,5]=>[7,6,3,4,2,1,5]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[3,4,2,5,1,6,7]=>[3,4,2,5,1,6,7]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[3,4,2,5,1,7,6]=>[7,3,4,2,5,1,6]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[3,4,2,5,6,1,7]=>[3,4,2,5,6,1,7]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[3,4,2,5,6,7,1]=>[3,4,2,5,6,7,1]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[3,4,2,5,7,1,6]=>[3,4,2,5,1,7,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,4,2,5,7,6,1]=>[7,3,4,2,5,6,1]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[3,4,2,6,1,5,7]=>[3,4,2,1,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,4,2,6,1,7,5]=>[6,3,4,2,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,4,2,6,5,1,7]=>[6,3,4,2,5,1,7]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[3,4,2,6,5,7,1]=>[6,3,4,2,5,7,1]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[3,4,2,6,7,1,5]=>[3,4,2,1,6,7,5]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,4,2,6,7,5,1]=>[6,3,4,2,7,5,1]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,4,2,7,1,5,6]=>[3,4,2,1,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,4,2,7,1,6,5]=>[7,3,4,2,1,6,5]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,4,2,7,5,1,6]=>[3,7,4,2,5,1,6]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[3,4,2,7,5,6,1]=>[3,7,4,2,5,6,1]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[3,4,2,7,6,1,5]=>[3,7,4,2,1,6,5]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,4,2,7,6,5,1]=>[7,6,3,4,2,5,1]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[3,4,5,1,2,6,7]=>[1,3,4,5,2,6,7]=>[[1,2,4,5,6,7],[3]]=>[3,4]
[3,4,5,1,2,7,6]=>[7,1,3,4,5,2,6]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[3,4,5,1,6,2,7]=>[3,4,5,6,1,2,7]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[3,4,5,1,6,7,2]=>[3,4,5,6,1,7,2]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[3,4,5,1,7,2,6]=>[3,4,5,1,7,2,6]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[3,4,5,1,7,6,2]=>[7,3,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,4,5,2,1,6,7]=>[3,4,5,2,1,6,7]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[3,4,5,2,1,7,6]=>[7,3,4,5,2,1,6]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[3,4,5,2,6,1,7]=>[3,4,5,2,6,1,7]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[3,4,5,2,6,7,1]=>[3,4,5,2,6,7,1]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[3,4,5,2,7,1,6]=>[3,4,5,2,1,7,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,4,5,2,7,6,1]=>[7,3,4,5,2,6,1]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[3,4,5,6,1,2,7]=>[1,3,4,5,6,2,7]=>[[1,2,4,5,6,7],[3]]=>[3,4]
[3,4,5,6,1,7,2]=>[3,4,5,6,7,1,2]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[3,4,5,6,2,1,7]=>[3,4,5,6,2,1,7]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[3,4,5,6,2,7,1]=>[3,4,5,6,2,7,1]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[3,4,5,6,7,1,2]=>[1,3,4,5,6,7,2]=>[[1,2,4,5,6,7],[3]]=>[3,4]
[3,4,5,6,7,2,1]=>[3,4,5,6,7,2,1]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[3,4,5,7,1,2,6]=>[1,3,4,5,2,7,6]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[3,4,5,7,1,6,2]=>[3,4,5,7,1,6,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,4,5,7,2,1,6]=>[3,4,5,2,7,1,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,4,5,7,2,6,1]=>[3,4,5,2,7,6,1]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,4,5,7,6,1,2]=>[1,7,3,4,5,6,2]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[3,4,5,7,6,2,1]=>[7,3,4,5,6,2,1]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[3,4,6,1,2,5,7]=>[1,3,4,2,6,5,7]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[3,4,6,1,2,7,5]=>[6,1,3,4,7,2,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[3,4,6,1,5,2,7]=>[3,4,6,1,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,4,6,1,5,7,2]=>[3,4,6,1,5,7,2]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,4,6,1,7,2,5]=>[3,4,1,6,7,2,5]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[3,4,6,1,7,5,2]=>[6,3,4,7,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[3,4,6,2,1,5,7]=>[3,4,2,6,1,5,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,4,6,2,1,7,5]=>[6,3,4,7,2,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,4,6,2,5,1,7]=>[3,4,2,6,5,1,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,4,6,2,5,7,1]=>[3,4,2,6,5,7,1]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,4,6,2,7,1,5]=>[3,4,2,6,1,7,5]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,4,6,2,7,5,1]=>[6,3,4,7,2,5,1]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,4,6,5,1,2,7]=>[1,6,3,4,5,2,7]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[3,4,6,5,1,7,2]=>[6,3,4,5,7,1,2]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,4,6,5,2,1,7]=>[6,3,4,5,2,1,7]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[3,4,6,5,2,7,1]=>[6,3,4,5,2,7,1]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[3,4,6,5,7,1,2]=>[1,6,3,4,5,7,2]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[3,4,6,5,7,2,1]=>[6,3,4,5,7,2,1]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[3,4,6,7,1,2,5]=>[1,3,4,2,6,7,5]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[3,4,6,7,1,5,2]=>[3,4,6,1,7,5,2]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,4,6,7,2,1,5]=>[3,4,2,6,7,1,5]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,4,6,7,2,5,1]=>[3,4,2,6,7,5,1]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,4,6,7,5,1,2]=>[1,6,3,4,7,5,2]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[3,4,6,7,5,2,1]=>[6,3,4,7,5,2,1]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,4,7,1,2,5,6]=>[1,3,4,2,5,7,6]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[3,4,7,1,2,6,5]=>[7,1,3,4,2,6,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[3,4,7,1,5,2,6]=>[3,4,1,7,5,2,6]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,4,7,1,5,6,2]=>[3,4,5,1,7,6,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,4,7,1,6,2,5]=>[3,4,1,7,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[3,4,7,1,6,5,2]=>[7,3,4,6,1,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,4,7,2,1,5,6]=>[3,4,2,1,7,5,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,4,7,2,1,6,5]=>[7,3,4,2,6,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,4,7,2,5,1,6]=>[3,4,2,5,7,1,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,4,7,2,5,6,1]=>[3,4,2,5,7,6,1]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,4,7,2,6,1,5]=>[3,4,2,1,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[3,4,7,2,6,5,1]=>[7,3,4,2,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,4,7,5,1,2,6]=>[1,3,7,4,5,2,6]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[3,4,7,5,1,6,2]=>[3,7,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,4,7,5,2,1,6]=>[3,7,4,5,2,1,6]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[3,4,7,5,2,6,1]=>[3,7,4,5,2,6,1]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[3,4,7,5,6,1,2]=>[1,3,7,4,5,6,2]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[3,4,7,5,6,2,1]=>[3,7,4,5,6,2,1]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[3,4,7,6,1,2,5]=>[1,3,7,4,2,6,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[3,4,7,6,1,5,2]=>[3,7,4,6,1,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,4,7,6,2,1,5]=>[3,7,4,2,6,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,4,7,6,2,5,1]=>[3,7,4,2,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,4,7,6,5,1,2]=>[1,7,6,3,4,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[3,4,7,6,5,2,1]=>[7,6,3,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[3,5,1,2,4,6,7]=>[1,3,2,5,4,6,7]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[3,5,1,2,4,7,6]=>[7,1,3,2,5,4,6]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[3,5,1,2,6,4,7]=>[5,1,3,6,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[3,5,1,2,6,7,4]=>[5,1,3,6,2,7,4]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[3,5,1,2,7,4,6]=>[5,1,3,2,7,4,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[3,5,1,2,7,6,4]=>[7,5,1,3,6,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[3,5,1,4,2,6,7]=>[3,5,1,4,2,6,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[3,5,1,4,2,7,6]=>[7,3,5,1,4,2,6]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[3,5,1,4,6,2,7]=>[3,5,1,4,6,2,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[3,5,1,4,6,7,2]=>[3,5,1,4,6,7,2]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[3,5,1,4,7,2,6]=>[3,5,1,4,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[3,5,1,4,7,6,2]=>[7,3,5,1,4,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[3,5,1,6,2,4,7]=>[3,1,5,6,2,4,7]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[3,5,1,6,2,7,4]=>[5,3,6,7,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[3,5,1,6,4,2,7]=>[5,3,6,4,1,2,7]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[3,5,1,6,4,7,2]=>[5,3,6,4,1,7,2]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[3,5,1,6,7,2,4]=>[3,1,5,6,2,7,4]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[3,5,1,6,7,4,2]=>[5,3,6,7,1,4,2]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[3,5,1,7,2,4,6]=>[3,1,5,2,7,4,6]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[3,5,1,7,2,6,4]=>[5,3,7,1,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[3,5,1,7,4,2,6]=>[5,3,4,7,1,2,6]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[3,5,1,7,4,6,2]=>[5,3,7,1,4,6,2]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[3,5,1,7,6,2,4]=>[3,7,1,5,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[3,5,1,7,6,4,2]=>[7,5,3,6,4,1,2]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[3,5,2,1,4,6,7]=>[3,2,5,1,4,6,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[3,5,2,1,4,7,6]=>[7,3,2,5,1,4,6]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[3,5,2,1,6,4,7]=>[5,3,6,2,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,5,2,1,6,7,4]=>[5,3,6,2,1,7,4]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,5,2,1,7,4,6]=>[5,3,2,7,1,4,6]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,5,2,1,7,6,4]=>[7,5,3,6,2,1,4]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[3,5,2,4,1,6,7]=>[3,2,5,4,1,6,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[3,5,2,4,1,7,6]=>[7,3,2,5,4,1,6]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[3,5,2,4,6,1,7]=>[3,2,5,4,6,1,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[3,5,2,4,6,7,1]=>[3,2,5,4,6,7,1]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[3,5,2,4,7,1,6]=>[3,2,5,4,1,7,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[3,5,2,4,7,6,1]=>[7,3,2,5,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[3,5,2,6,1,4,7]=>[3,2,5,1,6,4,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[3,5,2,6,1,7,4]=>[5,3,6,2,7,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,5,2,6,4,1,7]=>[5,3,6,2,4,1,7]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,5,2,6,4,7,1]=>[5,3,6,2,4,7,1]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,5,2,6,7,1,4]=>[3,2,5,1,6,7,4]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[3,5,2,6,7,4,1]=>[5,3,6,2,7,4,1]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,5,2,7,1,4,6]=>[3,2,5,1,4,7,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[3,5,2,7,1,6,4]=>[5,3,7,2,1,6,4]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[3,5,2,7,4,1,6]=>[5,3,2,7,4,1,6]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,5,2,7,4,6,1]=>[5,3,2,7,4,6,1]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,5,2,7,6,1,4]=>[3,7,2,5,1,6,4]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[3,5,2,7,6,4,1]=>[7,5,3,6,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[3,5,4,1,2,6,7]=>[1,5,3,4,2,6,7]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[3,5,4,1,2,7,6]=>[7,1,5,3,4,2,6]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[3,5,4,1,6,2,7]=>[5,3,4,6,1,2,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[3,5,4,1,6,7,2]=>[5,3,4,6,1,7,2]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[3,5,4,1,7,2,6]=>[5,3,4,1,7,2,6]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[3,5,4,1,7,6,2]=>[7,5,3,4,6,1,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[3,5,4,2,1,6,7]=>[5,3,4,2,1,6,7]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[3,5,4,2,1,7,6]=>[7,5,3,4,2,1,6]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[3,5,4,2,6,1,7]=>[5,3,4,2,6,1,7]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[3,5,4,2,6,7,1]=>[5,3,4,2,6,7,1]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[3,5,4,2,7,1,6]=>[5,3,4,2,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,5,4,2,7,6,1]=>[7,5,3,4,2,6,1]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[3,5,4,6,1,2,7]=>[1,5,3,4,6,2,7]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[3,5,4,6,1,7,2]=>[5,3,4,6,7,1,2]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[3,5,4,6,2,1,7]=>[5,3,4,6,2,1,7]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[3,5,4,6,2,7,1]=>[5,3,4,6,2,7,1]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[3,5,4,6,7,1,2]=>[1,5,3,4,6,7,2]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[3,5,4,6,7,2,1]=>[5,3,4,6,7,2,1]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[3,5,4,7,1,2,6]=>[1,5,3,4,2,7,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[3,5,4,7,1,6,2]=>[5,3,4,7,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[3,5,4,7,2,1,6]=>[5,3,4,2,7,1,6]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,5,4,7,2,6,1]=>[5,3,4,2,7,6,1]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,5,4,7,6,1,2]=>[1,7,5,3,4,6,2]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[3,5,4,7,6,2,1]=>[7,5,3,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[3,5,6,1,2,4,7]=>[1,3,2,5,6,4,7]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[3,5,6,1,2,7,4]=>[5,1,3,6,7,2,4]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[3,5,6,1,4,2,7]=>[3,5,1,6,4,2,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[3,5,6,1,4,7,2]=>[3,5,1,6,4,7,2]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[3,5,6,1,7,2,4]=>[3,1,5,6,7,2,4]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[3,5,6,1,7,4,2]=>[5,3,6,7,4,1,2]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[3,5,6,2,1,4,7]=>[3,2,5,6,1,4,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[3,5,6,2,1,7,4]=>[5,3,6,7,2,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,5,6,2,4,1,7]=>[3,2,5,6,4,1,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[3,5,6,2,4,7,1]=>[3,2,5,6,4,7,1]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[3,5,6,2,7,1,4]=>[3,2,5,6,1,7,4]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[3,5,6,2,7,4,1]=>[5,3,6,7,2,4,1]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,5,6,4,1,2,7]=>[1,5,3,6,4,2,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[3,5,6,4,1,7,2]=>[5,3,6,4,7,1,2]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[3,5,6,4,2,1,7]=>[5,3,6,4,2,1,7]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,5,6,4,2,7,1]=>[5,3,6,4,2,7,1]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,5,6,4,7,1,2]=>[1,5,3,6,4,7,2]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[3,5,6,4,7,2,1]=>[5,3,6,4,7,2,1]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,5,6,7,1,2,4]=>[1,3,2,5,6,7,4]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[3,5,6,7,1,4,2]=>[3,5,1,6,7,4,2]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[3,5,6,7,2,1,4]=>[3,2,5,6,7,1,4]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[3,5,6,7,2,4,1]=>[3,2,5,6,7,4,1]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[3,5,6,7,4,1,2]=>[1,5,3,6,7,4,2]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[3,5,6,7,4,2,1]=>[5,3,6,7,4,2,1]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,5,7,1,2,4,6]=>[1,3,2,5,4,7,6]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[3,5,7,1,2,6,4]=>[5,1,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[3,5,7,1,4,2,6]=>[3,5,1,4,7,2,6]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[3,5,7,1,4,6,2]=>[3,5,1,4,7,6,2]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[3,5,7,1,6,2,4]=>[3,1,5,7,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[3,5,7,1,6,4,2]=>[5,3,7,6,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[3,5,7,2,1,4,6]=>[3,2,5,1,7,4,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[3,5,7,2,1,6,4]=>[5,3,7,2,6,1,4]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[3,5,7,2,4,1,6]=>[3,2,5,4,7,1,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[3,5,7,2,4,6,1]=>[3,2,5,4,7,6,1]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[3,5,7,2,6,1,4]=>[3,2,5,1,7,6,4]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[3,5,7,2,6,4,1]=>[5,3,7,2,6,4,1]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[3,5,7,4,1,2,6]=>[1,5,3,4,7,2,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[3,5,7,4,1,6,2]=>[5,3,4,7,6,1,2]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[3,5,7,4,2,1,6]=>[5,3,4,7,2,1,6]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,5,7,4,2,6,1]=>[5,3,4,7,2,6,1]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,5,7,4,6,1,2]=>[1,5,3,4,7,6,2]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[3,5,7,4,6,2,1]=>[5,3,4,7,6,2,1]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,5,7,6,1,2,4]=>[1,3,7,2,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[3,5,7,6,1,4,2]=>[3,7,5,1,6,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[3,5,7,6,2,1,4]=>[3,7,2,5,6,1,4]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[3,5,7,6,2,4,1]=>[3,7,2,5,6,4,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[3,5,7,6,4,1,2]=>[1,7,5,3,6,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[3,5,7,6,4,2,1]=>[7,5,3,6,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[3,6,1,2,4,5,7]=>[1,3,2,4,6,5,7]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[3,6,1,2,4,7,5]=>[6,1,3,2,7,4,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[3,6,1,2,5,4,7]=>[6,1,3,2,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[3,6,1,2,5,7,4]=>[6,1,3,2,5,7,4]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[3,6,1,2,7,4,5]=>[1,6,3,2,7,4,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[3,6,1,2,7,5,4]=>[6,7,1,3,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[3,6,1,4,2,5,7]=>[3,1,6,4,2,5,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,6,1,4,2,7,5]=>[6,3,7,1,4,2,5]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[3,6,1,4,5,2,7]=>[3,4,1,6,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,6,1,4,5,7,2]=>[3,4,1,6,5,7,2]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,6,1,4,7,2,5]=>[3,1,6,4,2,7,5]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[3,6,1,4,7,5,2]=>[6,3,7,1,4,5,2]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[3,6,1,5,2,4,7]=>[3,1,6,2,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[3,6,1,5,2,7,4]=>[6,3,5,1,7,2,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[3,6,1,5,4,2,7]=>[6,3,5,1,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[3,6,1,5,4,7,2]=>[6,3,5,1,4,7,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[3,6,1,5,7,2,4]=>[3,1,6,2,5,7,4]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[3,6,1,5,7,4,2]=>[6,3,5,1,7,4,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[3,6,1,7,2,4,5]=>[3,1,2,6,7,4,5]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[3,6,1,7,2,5,4]=>[6,3,1,7,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[3,6,1,7,4,2,5]=>[3,6,4,7,1,2,5]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[3,6,1,7,4,5,2]=>[3,6,7,1,4,5,2]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[3,6,1,7,5,2,4]=>[3,6,1,7,5,2,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[3,6,1,7,5,4,2]=>[6,7,3,5,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[3,6,2,1,4,5,7]=>[3,2,1,6,4,5,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,6,2,1,4,7,5]=>[6,3,2,7,1,4,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,6,2,1,5,4,7]=>[6,3,2,5,1,4,7]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[3,6,2,1,5,7,4]=>[6,3,2,5,1,7,4]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[3,6,2,1,7,4,5]=>[3,6,2,7,1,4,5]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[3,6,2,1,7,5,4]=>[6,7,3,5,2,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[3,6,2,4,1,5,7]=>[3,2,4,6,1,5,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,6,2,4,1,7,5]=>[6,3,2,7,4,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,6,2,4,5,1,7]=>[3,2,4,6,5,1,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,6,2,4,5,7,1]=>[3,2,4,6,5,7,1]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,6,2,4,7,1,5]=>[3,2,4,6,1,7,5]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,6,2,4,7,5,1]=>[6,3,2,7,4,5,1]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,6,2,5,1,4,7]=>[3,2,1,6,5,4,7]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[3,6,2,5,1,7,4]=>[6,3,2,5,7,1,4]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[3,6,2,5,4,1,7]=>[6,3,2,5,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[3,6,2,5,4,7,1]=>[6,3,2,5,4,7,1]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[3,6,2,5,7,1,4]=>[3,2,1,6,5,7,4]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[3,6,2,5,7,4,1]=>[6,3,2,5,7,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[3,6,2,7,1,4,5]=>[3,2,1,6,4,7,5]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[3,6,2,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[3,6,2,7,4,1,5]=>[3,6,2,7,4,1,5]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[3,6,2,7,4,5,1]=>[3,6,2,7,4,5,1]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[3,6,2,7,5,1,4]=>[3,6,2,7,1,5,4]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[3,6,2,7,5,4,1]=>[6,7,3,5,2,4,1]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[3,6,4,1,2,5,7]=>[1,3,6,4,2,5,7]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[3,6,4,1,2,7,5]=>[6,1,7,3,4,2,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[3,6,4,1,5,2,7]=>[3,6,4,5,1,2,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,6,4,1,5,7,2]=>[3,6,4,5,1,7,2]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,6,4,1,7,2,5]=>[3,6,4,1,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[3,6,4,1,7,5,2]=>[6,7,3,4,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[3,6,4,2,1,5,7]=>[3,6,4,2,1,5,7]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[3,6,4,2,1,7,5]=>[6,7,3,4,2,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,6,4,2,5,1,7]=>[3,6,4,2,5,1,7]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[3,6,4,2,5,7,1]=>[3,6,4,2,5,7,1]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[3,6,4,2,7,1,5]=>[3,6,4,2,1,7,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,6,4,2,7,5,1]=>[6,7,3,4,2,5,1]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,6,4,5,1,2,7]=>[1,3,6,4,5,2,7]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[3,6,4,5,1,7,2]=>[3,6,4,5,7,1,2]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,6,4,5,2,1,7]=>[3,6,4,5,2,1,7]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[3,6,4,5,2,7,1]=>[3,6,4,5,2,7,1]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[3,6,4,5,7,1,2]=>[1,3,6,4,5,7,2]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[3,6,4,5,7,2,1]=>[3,6,4,5,7,2,1]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[3,6,4,7,1,2,5]=>[1,3,6,4,2,7,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[3,6,4,7,1,5,2]=>[3,6,4,7,1,5,2]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[3,6,4,7,2,1,5]=>[3,6,4,2,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,6,4,7,2,5,1]=>[3,6,4,2,7,5,1]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,6,4,7,5,1,2]=>[1,6,7,3,4,5,2]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[3,6,4,7,5,2,1]=>[6,7,3,4,5,2,1]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,6,5,1,2,4,7]=>[1,3,6,2,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[3,6,5,1,2,7,4]=>[6,1,5,3,7,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[3,6,5,1,4,2,7]=>[3,6,5,1,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[3,6,5,1,4,7,2]=>[3,6,5,1,4,7,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[3,6,5,1,7,2,4]=>[3,6,1,5,7,2,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[3,6,5,1,7,4,2]=>[6,5,3,7,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[3,6,5,2,1,4,7]=>[3,6,2,5,1,4,7]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[3,6,5,2,1,7,4]=>[6,5,3,7,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[3,6,5,2,4,1,7]=>[3,6,2,5,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[3,6,5,2,4,7,1]=>[3,6,2,5,4,7,1]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[3,6,5,2,7,1,4]=>[3,6,2,5,1,7,4]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[3,6,5,2,7,4,1]=>[6,5,3,7,2,4,1]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[3,6,5,4,1,2,7]=>[1,6,5,3,4,2,7]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[3,6,5,4,1,7,2]=>[6,5,3,4,7,1,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[3,6,5,4,2,1,7]=>[6,5,3,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[3,6,5,4,2,7,1]=>[6,5,3,4,2,7,1]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[3,6,5,4,7,1,2]=>[1,6,5,3,4,7,2]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[3,6,5,4,7,2,1]=>[6,5,3,4,7,2,1]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[3,6,5,7,1,2,4]=>[1,3,6,2,5,7,4]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[3,6,5,7,1,4,2]=>[3,6,5,1,7,4,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[3,6,5,7,2,1,4]=>[3,6,2,5,7,1,4]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[3,6,5,7,2,4,1]=>[3,6,2,5,7,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[3,6,5,7,4,1,2]=>[1,6,5,3,7,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[3,6,5,7,4,2,1]=>[6,5,3,7,4,2,1]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[3,6,7,1,2,4,5]=>[1,3,2,4,6,7,5]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[3,6,7,1,2,5,4]=>[6,1,3,2,7,5,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[3,6,7,1,4,2,5]=>[3,1,6,4,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[3,6,7,1,4,5,2]=>[3,4,1,6,7,5,2]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,6,7,1,5,2,4]=>[3,1,6,2,7,5,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[3,6,7,1,5,4,2]=>[6,3,7,1,5,4,2]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[3,6,7,2,1,4,5]=>[3,2,1,6,7,4,5]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[3,6,7,2,1,5,4]=>[6,3,2,7,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[3,6,7,2,4,1,5]=>[3,2,4,6,7,1,5]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,6,7,2,4,5,1]=>[3,2,4,6,7,5,1]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,6,7,2,5,1,4]=>[3,2,1,6,7,5,4]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[3,6,7,2,5,4,1]=>[6,3,2,7,5,4,1]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[3,6,7,4,1,2,5]=>[1,3,6,4,7,2,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[3,6,7,4,1,5,2]=>[3,6,4,7,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[3,6,7,4,2,1,5]=>[3,6,4,7,2,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,6,7,4,2,5,1]=>[3,6,4,7,2,5,1]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,6,7,4,5,1,2]=>[1,3,6,4,7,5,2]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[3,6,7,4,5,2,1]=>[3,6,4,7,5,2,1]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,6,7,5,1,2,4]=>[1,3,6,2,7,5,4]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[3,6,7,5,1,4,2]=>[3,6,7,1,5,4,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[3,6,7,5,2,1,4]=>[3,6,2,7,5,1,4]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[3,6,7,5,2,4,1]=>[3,6,2,7,5,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[3,6,7,5,4,1,2]=>[1,6,7,3,5,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[3,6,7,5,4,2,1]=>[6,7,3,5,4,2,1]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[3,7,1,2,4,5,6]=>[1,3,2,4,5,7,6]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[3,7,1,2,4,6,5]=>[7,1,3,2,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[3,7,1,2,5,4,6]=>[1,7,3,2,5,4,6]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[3,7,1,2,5,6,4]=>[5,1,3,2,7,6,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[3,7,1,2,6,4,5]=>[1,7,3,2,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[3,7,1,2,6,5,4]=>[7,6,1,3,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[3,7,1,4,2,5,6]=>[3,1,4,7,2,5,6]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[3,7,1,4,2,6,5]=>[7,3,1,6,4,2,5]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,7,1,4,5,2,6]=>[3,4,1,5,7,2,6]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[3,7,1,4,5,6,2]=>[3,4,1,5,7,6,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,7,1,4,6,2,5]=>[3,4,1,2,7,6,5]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[3,7,1,4,6,5,2]=>[7,3,4,1,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,7,1,5,2,4,6]=>[3,1,2,7,5,4,6]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[3,7,1,5,2,6,4]=>[7,3,1,5,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[3,7,1,5,4,2,6]=>[3,7,5,1,4,2,6]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[3,7,1,5,4,6,2]=>[3,7,5,1,4,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[3,7,1,5,6,2,4]=>[3,1,5,2,7,6,4]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[3,7,1,5,6,4,2]=>[5,3,7,1,6,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[3,7,1,6,2,4,5]=>[3,1,2,7,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[3,7,1,6,2,5,4]=>[7,3,1,6,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[3,7,1,6,4,2,5]=>[3,7,1,6,4,2,5]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,7,1,6,4,5,2]=>[3,7,4,1,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,7,1,6,5,2,4]=>[3,7,1,6,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[3,7,1,6,5,4,2]=>[7,6,3,5,1,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[3,7,2,1,4,5,6]=>[3,2,1,4,7,5,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,7,2,1,4,6,5]=>[7,3,2,1,6,4,5]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,7,2,1,5,4,6]=>[3,7,2,5,1,4,6]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[3,7,2,1,5,6,4]=>[7,3,2,1,5,6,4]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[3,7,2,1,6,4,5]=>[3,7,2,1,6,4,5]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[3,7,2,1,6,5,4]=>[7,6,3,2,5,1,4]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[3,7,2,4,1,5,6]=>[3,2,4,1,7,5,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,7,2,4,1,6,5]=>[7,3,2,4,6,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,7,2,4,5,1,6]=>[3,2,4,5,7,1,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,7,2,4,5,6,1]=>[3,2,4,5,7,6,1]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,7,2,4,6,1,5]=>[3,2,4,1,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[3,7,2,4,6,5,1]=>[7,3,2,4,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,7,2,5,1,4,6]=>[3,2,1,5,7,4,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[3,7,2,5,1,6,4]=>[5,3,2,7,6,1,4]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[3,7,2,5,4,1,6]=>[3,7,2,5,4,1,6]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[3,7,2,5,4,6,1]=>[3,7,2,5,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[3,7,2,5,6,1,4]=>[3,2,1,5,7,6,4]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[3,7,2,5,6,4,1]=>[5,3,2,7,6,4,1]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[3,7,2,6,1,4,5]=>[3,2,1,4,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[3,7,2,6,1,5,4]=>[7,3,2,1,6,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[3,7,2,6,4,1,5]=>[3,7,2,4,6,1,5]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[3,7,2,6,4,5,1]=>[3,7,2,4,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,7,2,6,5,1,4]=>[3,7,2,1,6,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[3,7,2,6,5,4,1]=>[7,6,3,2,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[3,7,4,1,2,5,6]=>[1,3,4,7,2,5,6]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[3,7,4,1,2,6,5]=>[7,1,3,6,4,2,5]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[3,7,4,1,5,2,6]=>[3,4,7,5,1,2,6]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,7,4,1,5,6,2]=>[3,4,7,5,1,6,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,7,4,1,6,2,5]=>[3,4,7,1,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[3,7,4,1,6,5,2]=>[7,3,6,4,5,1,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,7,4,2,1,5,6]=>[3,4,7,2,1,5,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,7,4,2,1,6,5]=>[7,3,6,4,2,1,5]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[3,7,4,2,5,1,6]=>[3,4,7,2,5,1,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,7,4,2,5,6,1]=>[3,4,7,2,5,6,1]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,7,4,2,6,1,5]=>[3,4,7,2,1,6,5]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[3,7,4,2,6,5,1]=>[7,3,6,4,2,5,1]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[3,7,4,5,1,2,6]=>[1,3,4,7,5,2,6]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[3,7,4,5,1,6,2]=>[3,4,7,5,6,1,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,7,4,5,2,1,6]=>[3,4,7,5,2,1,6]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[3,7,4,5,2,6,1]=>[3,4,7,5,2,6,1]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[3,7,4,5,6,1,2]=>[1,3,4,7,5,6,2]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[3,7,4,5,6,2,1]=>[3,4,7,5,6,2,1]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[3,7,4,6,1,2,5]=>[1,3,4,7,2,6,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[3,7,4,6,1,5,2]=>[3,4,7,6,1,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,7,4,6,2,1,5]=>[3,4,7,2,6,1,5]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[3,7,4,6,2,5,1]=>[3,4,7,2,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,7,4,6,5,1,2]=>[1,7,3,6,4,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[3,7,4,6,5,2,1]=>[7,3,6,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[3,7,5,1,2,4,6]=>[1,3,2,7,5,4,6]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[3,7,5,1,2,6,4]=>[7,1,3,5,6,2,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[3,7,5,1,4,2,6]=>[3,5,7,1,4,2,6]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[3,7,5,1,4,6,2]=>[3,7,1,5,4,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[3,7,5,1,6,2,4]=>[3,1,7,5,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[3,7,5,1,6,4,2]=>[7,3,5,6,4,1,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[3,7,5,2,1,4,6]=>[3,2,7,5,1,4,6]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[3,7,5,2,1,6,4]=>[7,3,5,6,2,1,4]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[3,7,5,2,4,1,6]=>[3,2,7,5,4,1,6]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[3,7,5,2,4,6,1]=>[3,2,7,5,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[3,7,5,2,6,1,4]=>[3,2,7,5,1,6,4]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[3,7,5,2,6,4,1]=>[7,3,5,6,2,4,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[3,7,5,4,1,2,6]=>[1,5,7,3,4,2,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[3,7,5,4,1,6,2]=>[5,7,3,4,6,1,2]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[3,7,5,4,2,1,6]=>[5,7,3,4,2,1,6]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,7,5,4,2,6,1]=>[5,7,3,4,2,6,1]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,7,5,4,6,1,2]=>[1,5,7,3,4,6,2]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[3,7,5,4,6,2,1]=>[5,7,3,4,6,2,1]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,7,5,6,1,2,4]=>[1,3,2,7,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[3,7,5,6,1,4,2]=>[3,7,1,5,6,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[3,7,5,6,2,1,4]=>[3,2,7,5,6,1,4]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[3,7,5,6,2,4,1]=>[3,2,7,5,6,4,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[3,7,5,6,4,1,2]=>[1,7,3,5,6,4,2]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[3,7,5,6,4,2,1]=>[7,3,5,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[3,7,6,1,2,4,5]=>[1,3,2,7,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[3,7,6,1,2,5,4]=>[7,1,3,6,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[3,7,6,1,4,2,5]=>[3,1,7,6,4,2,5]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,7,6,1,4,5,2]=>[3,7,1,4,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,7,6,1,5,2,4]=>[3,1,7,6,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[3,7,6,1,5,4,2]=>[7,3,6,5,1,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[3,7,6,2,1,4,5]=>[3,2,7,1,6,4,5]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[3,7,6,2,1,5,4]=>[7,3,6,2,5,1,4]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[3,7,6,2,4,1,5]=>[3,2,7,4,6,1,5]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[3,7,6,2,4,5,1]=>[3,2,7,4,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,7,6,2,5,1,4]=>[3,2,7,1,6,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[3,7,6,2,5,4,1]=>[7,3,6,2,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[3,7,6,4,1,2,5]=>[1,3,7,6,4,2,5]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[3,7,6,4,1,5,2]=>[3,7,6,4,5,1,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,7,6,4,2,1,5]=>[3,7,6,4,2,1,5]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[3,7,6,4,2,5,1]=>[3,7,6,4,2,5,1]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[3,7,6,4,5,1,2]=>[1,3,7,6,4,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[3,7,6,4,5,2,1]=>[3,7,6,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[3,7,6,5,1,2,4]=>[1,3,7,6,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[3,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[3,7,6,5,2,1,4]=>[3,7,6,2,5,1,4]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[3,7,6,5,2,4,1]=>[3,7,6,2,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[3,7,6,5,4,1,2]=>[1,7,6,5,3,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[3,7,6,5,4,2,1]=>[7,6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[3,4]
[4,1,2,3,5,6,7]=>[1,2,4,3,5,6,7]=>[[1,2,3,5,6,7],[4]]=>[4,3]
[4,1,2,3,5,7,6]=>[7,1,2,4,3,5,6]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[4,1,2,3,6,5,7]=>[6,1,2,4,3,5,7]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[4,1,2,3,6,7,5]=>[6,1,2,4,3,7,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[4,1,2,3,7,5,6]=>[1,7,2,4,3,5,6]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[4,1,2,3,7,6,5]=>[7,6,1,2,4,3,5]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[4,1,2,5,3,6,7]=>[4,1,5,2,3,6,7]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[4,1,2,5,3,7,6]=>[7,4,1,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[4,1,2,5,6,3,7]=>[4,1,5,2,6,3,7]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[4,1,2,5,6,7,3]=>[4,1,5,2,6,7,3]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[4,1,2,5,7,3,6]=>[4,1,5,2,3,7,6]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[4,1,2,5,7,6,3]=>[7,4,1,5,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[4,1,2,6,3,5,7]=>[4,1,2,6,3,5,7]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[4,1,2,6,3,7,5]=>[6,4,1,7,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[4,1,2,6,5,3,7]=>[6,4,1,5,2,3,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[4,1,2,6,5,7,3]=>[6,4,1,5,2,7,3]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[4,1,2,6,7,3,5]=>[4,1,2,6,3,7,5]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[4,1,2,6,7,5,3]=>[6,4,1,7,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[4,1,2,7,3,5,6]=>[4,1,2,3,7,5,6]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[4,1,2,7,3,6,5]=>[7,4,1,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[4,1,2,7,5,3,6]=>[4,7,1,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[4,1,2,7,5,6,3]=>[7,1,4,5,2,6,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[4,1,2,7,6,3,5]=>[4,7,1,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[4,1,2,7,6,5,3]=>[7,6,4,1,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[4,1,3,2,5,6,7]=>[4,1,3,2,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[4,1,3,2,5,7,6]=>[7,4,1,3,2,5,6]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[4,1,3,2,6,5,7]=>[6,4,1,3,2,5,7]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[4,1,3,2,6,7,5]=>[6,4,1,3,2,7,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[4,1,3,2,7,5,6]=>[4,7,1,3,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[4,1,3,2,7,6,5]=>[7,6,4,1,3,2,5]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[4,1,3,5,2,6,7]=>[4,1,3,5,2,6,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[4,1,3,5,2,7,6]=>[7,4,1,3,5,2,6]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[4,1,3,5,6,2,7]=>[4,1,3,5,6,2,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[4,1,3,5,6,7,2]=>[4,1,3,5,6,7,2]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[4,1,3,5,7,2,6]=>[4,1,3,5,2,7,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[4,1,3,5,7,6,2]=>[7,4,1,3,5,6,2]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[4,1,3,6,2,5,7]=>[4,1,3,2,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[4,1,3,6,2,7,5]=>[6,4,1,3,7,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[4,1,3,6,5,2,7]=>[6,4,1,3,5,2,7]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[4,1,3,6,5,7,2]=>[6,4,1,3,5,7,2]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[4,1,3,6,7,2,5]=>[4,1,3,2,6,7,5]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[4,1,3,6,7,5,2]=>[6,4,1,3,7,5,2]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[4,1,3,7,2,5,6]=>[4,1,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[4,1,3,7,2,6,5]=>[7,4,1,3,2,6,5]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[4,1,3,7,5,2,6]=>[4,7,1,3,5,2,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[4,1,3,7,5,6,2]=>[7,1,4,3,5,6,2]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[4,1,3,7,6,2,5]=>[4,7,1,3,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[4,1,3,7,6,5,2]=>[7,6,4,1,3,5,2]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[4,1,5,2,3,6,7]=>[1,4,5,2,3,6,7]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[4,1,5,2,3,7,6]=>[7,1,4,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[4,1,5,2,6,3,7]=>[4,5,6,1,2,3,7]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[4,1,5,2,6,7,3]=>[4,5,6,1,2,7,3]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[4,1,5,2,7,3,6]=>[4,5,1,7,2,3,6]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[4,1,5,2,7,6,3]=>[7,4,5,6,1,2,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[4,1,5,3,2,6,7]=>[4,5,3,1,2,6,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,1,5,3,2,7,6]=>[7,4,5,3,1,2,6]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,1,5,3,6,2,7]=>[4,5,3,1,6,2,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,1,5,3,6,7,2]=>[4,5,3,1,6,7,2]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,1,5,3,7,2,6]=>[4,5,3,1,2,7,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[4,1,5,3,7,6,2]=>[7,4,5,3,1,6,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,1,5,6,2,3,7]=>[1,4,5,2,6,3,7]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[4,1,5,6,2,7,3]=>[4,5,6,1,7,2,3]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[4,1,5,6,3,2,7]=>[4,5,6,1,3,2,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,1,5,6,3,7,2]=>[4,5,6,1,3,7,2]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,1,5,6,7,2,3]=>[1,4,5,2,6,7,3]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[4,1,5,6,7,3,2]=>[4,5,6,1,7,3,2]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,1,5,7,2,3,6]=>[1,4,5,2,3,7,6]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[4,1,5,7,2,6,3]=>[4,5,7,1,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[4,1,5,7,3,2,6]=>[4,5,1,7,3,2,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[4,1,5,7,3,6,2]=>[4,5,3,1,7,6,2]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[4,1,5,7,6,2,3]=>[1,7,4,5,2,6,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[4,1,5,7,6,3,2]=>[7,4,5,6,1,3,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,1,6,2,3,5,7]=>[1,4,2,6,3,5,7]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[4,1,6,2,3,7,5]=>[6,1,4,7,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[4,1,6,2,5,3,7]=>[4,6,1,5,2,3,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[4,1,6,2,5,7,3]=>[4,6,1,5,2,7,3]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[4,1,6,2,7,3,5]=>[4,1,6,7,2,3,5]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[4,1,6,2,7,5,3]=>[6,4,7,5,1,2,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[4,1,6,3,2,5,7]=>[4,3,6,1,2,5,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[4,1,6,3,2,7,5]=>[6,4,7,3,1,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[4,1,6,3,5,2,7]=>[4,6,1,3,5,2,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[4,1,6,3,5,7,2]=>[4,6,1,3,5,7,2]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[4,1,6,3,7,2,5]=>[4,3,6,1,2,7,5]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[4,1,6,3,7,5,2]=>[6,4,7,3,1,5,2]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[4,1,6,5,2,3,7]=>[1,6,4,5,2,3,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[4,1,6,5,2,7,3]=>[6,4,5,7,1,2,3]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[4,1,6,5,3,2,7]=>[6,4,5,3,1,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[4,1,6,5,3,7,2]=>[6,4,5,3,1,7,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[4,1,6,5,7,2,3]=>[1,6,4,5,2,7,3]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[4,1,6,5,7,3,2]=>[6,4,5,7,1,3,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[4,1,6,7,2,3,5]=>[1,4,2,6,3,7,5]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[4,1,6,7,2,5,3]=>[4,6,1,7,2,5,3]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[4,1,6,7,3,2,5]=>[4,1,6,7,3,2,5]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[4,1,6,7,3,5,2]=>[4,6,1,3,7,5,2]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[4,1,6,7,5,2,3]=>[1,6,4,7,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[4,1,6,7,5,3,2]=>[6,4,7,5,1,3,2]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[4,1,7,2,3,5,6]=>[1,4,2,3,7,5,6]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[4,1,7,2,3,6,5]=>[7,1,4,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[4,1,7,2,5,3,6]=>[4,1,7,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[4,1,7,2,5,6,3]=>[4,7,1,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[4,1,7,2,6,3,5]=>[4,1,7,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[4,1,7,2,6,5,3]=>[7,4,6,1,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[4,1,7,3,2,5,6]=>[4,3,1,7,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[4,1,7,3,2,6,5]=>[7,4,3,6,1,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[4,1,7,3,5,2,6]=>[4,1,7,3,5,2,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[4,1,7,3,5,6,2]=>[4,3,1,7,5,6,2]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[4,1,7,3,6,2,5]=>[4,1,7,3,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[4,1,7,3,6,5,2]=>[7,4,6,1,3,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[4,1,7,5,2,3,6]=>[1,4,7,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[4,1,7,5,2,6,3]=>[4,7,5,6,1,2,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[4,1,7,5,3,2,6]=>[4,7,5,3,1,2,6]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,1,7,5,3,6,2]=>[4,7,5,3,1,6,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,1,7,5,6,2,3]=>[1,4,7,5,2,6,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[4,1,7,5,6,3,2]=>[4,7,5,6,1,3,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,1,7,6,2,3,5]=>[1,4,7,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[4,1,7,6,2,5,3]=>[4,7,6,1,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[4,1,7,6,3,2,5]=>[4,7,3,6,1,2,5]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[4,1,7,6,3,5,2]=>[4,7,6,1,3,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[4,1,7,6,5,2,3]=>[1,7,6,4,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[4,1,7,6,5,3,2]=>[7,6,4,5,3,1,2]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[4,2,1,3,5,6,7]=>[2,4,1,3,5,6,7]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[4,2,1,3,5,7,6]=>[7,2,4,1,3,5,6]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[4,2,1,3,6,5,7]=>[6,2,4,1,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[4,2,1,3,6,7,5]=>[6,2,4,1,3,7,5]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[4,2,1,3,7,5,6]=>[2,7,4,1,3,5,6]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[4,2,1,3,7,6,5]=>[7,6,2,4,1,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[4,2,1,5,3,6,7]=>[4,5,2,1,3,6,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,2,1,5,3,7,6]=>[7,4,5,2,1,3,6]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[4,2,1,5,6,3,7]=>[4,5,2,1,6,3,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,2,1,5,6,7,3]=>[4,5,2,1,6,7,3]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,2,1,5,7,3,6]=>[4,5,2,1,3,7,6]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[4,2,1,5,7,6,3]=>[7,4,5,2,1,6,3]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[4,2,1,6,3,5,7]=>[4,2,6,1,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[4,2,1,6,3,7,5]=>[6,4,7,2,1,3,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[4,2,1,6,5,3,7]=>[6,4,5,2,1,3,7]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[4,2,1,6,5,7,3]=>[6,4,5,2,1,7,3]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[4,2,1,6,7,3,5]=>[4,2,6,1,3,7,5]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[4,2,1,6,7,5,3]=>[6,4,7,2,1,5,3]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[4,2,1,7,3,5,6]=>[4,2,1,7,3,5,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[4,2,1,7,3,6,5]=>[7,4,2,6,1,3,5]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[4,2,1,7,5,3,6]=>[4,7,5,2,1,3,6]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[4,2,1,7,5,6,3]=>[4,7,5,2,1,6,3]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[4,2,1,7,6,3,5]=>[4,7,2,6,1,3,5]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[4,2,1,7,6,5,3]=>[7,6,4,5,2,1,3]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[4,2,3,1,5,6,7]=>[2,4,3,1,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[4,2,3,1,5,7,6]=>[7,2,4,3,1,5,6]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[4,2,3,1,6,5,7]=>[6,2,4,3,1,5,7]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[4,2,3,1,6,7,5]=>[6,2,4,3,1,7,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[4,2,3,1,7,5,6]=>[2,7,4,3,1,5,6]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[4,2,3,1,7,6,5]=>[7,6,2,4,3,1,5]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[4,2,3,5,1,6,7]=>[2,4,3,5,1,6,7]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[4,2,3,5,1,7,6]=>[7,2,4,3,5,1,6]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[4,2,3,5,6,1,7]=>[2,4,3,5,6,1,7]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[4,2,3,5,6,7,1]=>[2,4,3,5,6,7,1]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[4,2,3,5,7,1,6]=>[2,4,3,5,1,7,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[4,2,3,5,7,6,1]=>[7,2,4,3,5,6,1]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[4,2,3,6,1,5,7]=>[2,4,3,1,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[4,2,3,6,1,7,5]=>[6,2,4,3,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[4,2,3,6,5,1,7]=>[6,2,4,3,5,1,7]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[4,2,3,6,5,7,1]=>[6,2,4,3,5,7,1]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[4,2,3,6,7,1,5]=>[2,4,3,1,6,7,5]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[4,2,3,6,7,5,1]=>[6,2,4,3,7,5,1]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[4,2,3,7,1,5,6]=>[2,4,3,1,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[4,2,3,7,1,6,5]=>[7,2,4,3,1,6,5]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[4,2,3,7,5,1,6]=>[2,7,4,3,5,1,6]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[4,2,3,7,5,6,1]=>[2,7,4,3,5,6,1]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[4,2,3,7,6,1,5]=>[2,7,4,3,1,6,5]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[4,2,3,7,6,5,1]=>[7,6,2,4,3,5,1]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[4,2,5,1,3,6,7]=>[2,4,1,5,3,6,7]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[4,2,5,1,3,7,6]=>[7,2,4,1,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[4,2,5,1,6,3,7]=>[4,5,2,6,1,3,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,2,5,1,6,7,3]=>[4,5,2,6,1,7,3]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,2,5,1,7,3,6]=>[4,5,2,1,7,3,6]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[4,2,5,1,7,6,3]=>[7,4,5,2,6,1,3]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[4,2,5,3,1,6,7]=>[4,5,2,3,1,6,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,2,5,3,1,7,6]=>[7,4,5,2,3,1,6]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[4,2,5,3,6,1,7]=>[4,5,2,3,6,1,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,2,5,3,6,7,1]=>[4,5,2,3,6,7,1]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,2,5,3,7,1,6]=>[4,5,2,3,1,7,6]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[4,2,5,3,7,6,1]=>[7,4,5,2,3,6,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[4,2,5,6,1,3,7]=>[2,4,1,5,6,3,7]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[4,2,5,6,1,7,3]=>[4,5,2,6,7,1,3]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,2,5,6,3,1,7]=>[4,5,2,6,3,1,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,2,5,6,3,7,1]=>[4,5,2,6,3,7,1]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,2,5,6,7,1,3]=>[2,4,1,5,6,7,3]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[4,2,5,6,7,3,1]=>[4,5,2,6,7,3,1]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,2,5,7,1,3,6]=>[2,4,1,5,3,7,6]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[4,2,5,7,1,6,3]=>[4,5,2,7,1,6,3]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[4,2,5,7,3,1,6]=>[4,5,2,3,7,1,6]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[4,2,5,7,3,6,1]=>[4,5,2,3,7,6,1]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[4,2,5,7,6,1,3]=>[2,7,4,1,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[4,2,5,7,6,3,1]=>[7,4,5,2,6,3,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[4,2,6,1,3,5,7]=>[2,4,1,3,6,5,7]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[4,2,6,1,3,7,5]=>[6,2,4,1,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[4,2,6,1,5,3,7]=>[4,6,2,1,5,3,7]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[4,2,6,1,5,7,3]=>[4,6,2,1,5,7,3]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[4,2,6,1,7,3,5]=>[4,2,6,1,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[4,2,6,1,7,5,3]=>[6,4,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[4,2,6,3,1,5,7]=>[4,2,6,3,1,5,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[4,2,6,3,1,7,5]=>[6,4,7,2,3,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[4,2,6,3,5,1,7]=>[4,2,6,3,5,1,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[4,2,6,3,5,7,1]=>[4,2,6,3,5,7,1]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[4,2,6,3,7,1,5]=>[4,2,6,3,1,7,5]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[4,2,6,3,7,5,1]=>[6,4,7,2,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[4,2,6,5,1,3,7]=>[2,6,4,1,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[4,2,6,5,1,7,3]=>[6,4,5,2,7,1,3]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[4,2,6,5,3,1,7]=>[6,4,5,2,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[4,2,6,5,3,7,1]=>[6,4,5,2,3,7,1]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[4,2,6,5,7,1,3]=>[2,6,4,1,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[4,2,6,5,7,3,1]=>[6,4,5,2,7,3,1]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[4,2,6,7,1,3,5]=>[2,4,1,3,6,7,5]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[4,2,6,7,1,5,3]=>[4,6,2,1,7,5,3]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[4,2,6,7,3,1,5]=>[4,2,6,3,7,1,5]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[4,2,6,7,3,5,1]=>[4,2,6,3,7,5,1]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[4,2,6,7,5,1,3]=>[2,6,4,1,7,5,3]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[4,2,6,7,5,3,1]=>[6,4,7,2,5,3,1]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[4,2,7,1,3,5,6]=>[2,4,1,3,5,7,6]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[4,2,7,1,3,6,5]=>[7,2,4,1,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[4,2,7,1,5,3,6]=>[4,2,7,1,5,3,6]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[4,2,7,1,5,6,3]=>[4,5,2,1,7,6,3]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[4,2,7,1,6,3,5]=>[4,2,7,1,3,6,5]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[4,2,7,1,6,5,3]=>[7,4,6,2,1,5,3]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[4,2,7,3,1,5,6]=>[4,2,3,7,1,5,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[4,2,7,3,1,6,5]=>[7,4,2,6,3,1,5]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[4,2,7,3,5,1,6]=>[4,2,3,7,5,1,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[4,2,7,3,5,6,1]=>[4,2,3,7,5,6,1]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[4,2,7,3,6,1,5]=>[4,2,3,7,1,6,5]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[4,2,7,3,6,5,1]=>[7,4,2,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[4,2,7,5,1,3,6]=>[2,4,7,1,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[4,2,7,5,1,6,3]=>[4,7,5,2,6,1,3]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[4,2,7,5,3,1,6]=>[4,7,5,2,3,1,6]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[4,2,7,5,3,6,1]=>[4,7,5,2,3,6,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[4,2,7,5,6,1,3]=>[2,4,7,1,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[4,2,7,5,6,3,1]=>[4,7,5,2,6,3,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[4,2,7,6,1,3,5]=>[2,4,7,1,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[4,2,7,6,1,5,3]=>[4,7,6,2,1,5,3]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[4,2,7,6,3,1,5]=>[4,7,2,6,3,1,5]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[4,2,7,6,3,5,1]=>[4,7,2,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[4,2,7,6,5,1,3]=>[2,7,6,4,1,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[4,2,7,6,5,3,1]=>[7,6,4,5,2,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[4,3,1,2,5,6,7]=>[1,4,3,2,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[4,3,1,2,5,7,6]=>[7,1,4,3,2,5,6]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[4,3,1,2,6,5,7]=>[6,1,4,3,2,5,7]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[4,3,1,2,6,7,5]=>[6,1,4,3,2,7,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[4,3,1,2,7,5,6]=>[1,7,4,3,2,5,6]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[4,3,1,2,7,6,5]=>[7,6,1,4,3,2,5]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[4,3,1,5,2,6,7]=>[4,3,5,1,2,6,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,3,1,5,2,7,6]=>[7,4,3,5,1,2,6]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,3,1,5,6,2,7]=>[4,3,5,1,6,2,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,3,1,5,6,7,2]=>[4,3,5,1,6,7,2]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,3,1,5,7,2,6]=>[4,3,5,1,2,7,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[4,3,1,5,7,6,2]=>[7,4,3,5,1,6,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,3,1,6,2,5,7]=>[4,3,1,6,2,5,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[4,3,1,6,2,7,5]=>[6,4,3,7,1,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[4,3,1,6,5,2,7]=>[6,4,3,5,1,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[4,3,1,6,5,7,2]=>[6,4,3,5,1,7,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[4,3,1,6,7,2,5]=>[4,3,1,6,2,7,5]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[4,3,1,6,7,5,2]=>[6,4,3,7,1,5,2]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[4,3,1,7,2,5,6]=>[4,3,1,2,7,5,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[4,3,1,7,2,6,5]=>[7,4,3,1,6,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[4,3,1,7,5,2,6]=>[4,7,3,5,1,2,6]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[4,3,1,7,5,6,2]=>[4,7,3,5,1,6,2]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[4,3,1,7,6,2,5]=>[4,7,3,1,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[4,3,1,7,6,5,2]=>[7,6,4,3,5,1,2]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[4,3,2,1,5,7,6]=>[7,4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[4,3,2,1,6,5,7]=>[6,4,3,2,1,5,7]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[4,3,2,1,6,7,5]=>[6,4,3,2,1,7,5]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[4,3,2,1,7,5,6]=>[4,7,3,2,1,5,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,3,2,1,7,6,5]=>[7,6,4,3,2,1,5]=>[[1,5],[2],[3],[4],[6],[7]]=>[4,3]
[4,3,2,5,1,6,7]=>[4,3,2,5,1,6,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[4,3,2,5,1,7,6]=>[7,4,3,2,5,1,6]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[4,3,2,5,6,1,7]=>[4,3,2,5,6,1,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[4,3,2,5,6,7,1]=>[4,3,2,5,6,7,1]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[4,3,2,5,7,1,6]=>[4,3,2,5,1,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,3,2,5,7,6,1]=>[7,4,3,2,5,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[4,3,2,6,1,5,7]=>[4,3,2,1,6,5,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[4,3,2,6,1,7,5]=>[6,4,3,2,7,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[4,3,2,6,5,1,7]=>[6,4,3,2,5,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[4,3,2,6,5,7,1]=>[6,4,3,2,5,7,1]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[4,3,2,6,7,1,5]=>[4,3,2,1,6,7,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[4,3,2,6,7,5,1]=>[6,4,3,2,7,5,1]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[4,3,2,7,1,5,6]=>[4,3,2,1,5,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,3,2,7,1,6,5]=>[7,4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[4,3,2,7,5,1,6]=>[4,7,3,2,5,1,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,3,2,7,5,6,1]=>[4,7,3,2,5,6,1]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,3,2,7,6,1,5]=>[4,7,3,2,1,6,5]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[4,3,2,7,6,5,1]=>[7,6,4,3,2,5,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[4,3]
[4,3,5,1,2,6,7]=>[1,4,3,5,2,6,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[4,3,5,1,2,7,6]=>[7,1,4,3,5,2,6]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[4,3,5,1,6,2,7]=>[4,3,5,6,1,2,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,3,5,1,6,7,2]=>[4,3,5,6,1,7,2]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,3,5,1,7,2,6]=>[4,3,5,1,7,2,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[4,3,5,1,7,6,2]=>[7,4,3,5,6,1,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,3,5,2,1,6,7]=>[4,3,5,2,1,6,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[4,3,5,2,1,7,6]=>[7,4,3,5,2,1,6]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[4,3,5,2,6,1,7]=>[4,3,5,2,6,1,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[4,3,5,2,6,7,1]=>[4,3,5,2,6,7,1]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[4,3,5,2,7,1,6]=>[4,3,5,2,1,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,3,5,2,7,6,1]=>[7,4,3,5,2,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[4,3,5,6,1,2,7]=>[1,4,3,5,6,2,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[4,3,5,6,1,7,2]=>[4,3,5,6,7,1,2]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,3,5,6,2,1,7]=>[4,3,5,6,2,1,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[4,3,5,6,2,7,1]=>[4,3,5,6,2,7,1]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[4,3,5,6,7,1,2]=>[1,4,3,5,6,7,2]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[4,3,5,6,7,2,1]=>[4,3,5,6,7,2,1]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[4,3,5,7,1,2,6]=>[1,4,3,5,2,7,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[4,3,5,7,1,6,2]=>[4,3,5,7,1,6,2]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[4,3,5,7,2,1,6]=>[4,3,5,2,7,1,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,3,5,7,2,6,1]=>[4,3,5,2,7,6,1]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,3,5,7,6,1,2]=>[1,7,4,3,5,6,2]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[4,3,5,7,6,2,1]=>[7,4,3,5,6,2,1]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[4,3,6,1,2,5,7]=>[1,4,3,2,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[4,3,6,1,2,7,5]=>[6,1,4,3,7,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[4,3,6,1,5,2,7]=>[4,3,6,1,5,2,7]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[4,3,6,1,5,7,2]=>[4,3,6,1,5,7,2]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[4,3,6,1,7,2,5]=>[4,3,1,6,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[4,3,6,1,7,5,2]=>[6,4,3,7,5,1,2]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[4,3,6,2,1,5,7]=>[4,3,2,6,1,5,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[4,3,6,2,1,7,5]=>[6,4,3,7,2,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[4,3,6,2,5,1,7]=>[4,3,2,6,5,1,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[4,3,6,2,5,7,1]=>[4,3,2,6,5,7,1]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[4,3,6,2,7,1,5]=>[4,3,2,6,1,7,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[4,3,6,2,7,5,1]=>[6,4,3,7,2,5,1]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[4,3,6,5,1,2,7]=>[1,6,4,3,5,2,7]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[4,3,6,5,1,7,2]=>[6,4,3,5,7,1,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[4,3,6,5,2,1,7]=>[6,4,3,5,2,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[4,3,6,5,2,7,1]=>[6,4,3,5,2,7,1]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[4,3,6,5,7,1,2]=>[1,6,4,3,5,7,2]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[4,3,6,5,7,2,1]=>[6,4,3,5,7,2,1]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[4,3,6,7,1,2,5]=>[1,4,3,2,6,7,5]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[4,3,6,7,1,5,2]=>[4,3,6,1,7,5,2]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[4,3,6,7,2,1,5]=>[4,3,2,6,7,1,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[4,3,6,7,2,5,1]=>[4,3,2,6,7,5,1]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[4,3,6,7,5,1,2]=>[1,6,4,3,7,5,2]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[4,3,6,7,5,2,1]=>[6,4,3,7,5,2,1]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[4,3,7,1,2,5,6]=>[1,4,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[4,3,7,1,2,6,5]=>[7,1,4,3,2,6,5]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[4,3,7,1,5,2,6]=>[4,3,1,7,5,2,6]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[4,3,7,1,5,6,2]=>[4,3,5,1,7,6,2]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[4,3,7,1,6,2,5]=>[4,3,1,7,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[4,3,7,1,6,5,2]=>[7,4,3,6,1,5,2]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[4,3,7,2,1,5,6]=>[4,3,2,1,7,5,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,3,7,2,1,6,5]=>[7,4,3,2,6,1,5]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[4,3,7,2,5,1,6]=>[4,3,2,5,7,1,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,3,7,2,5,6,1]=>[4,3,2,5,7,6,1]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,3,7,2,6,1,5]=>[4,3,2,1,7,6,5]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[4,3,7,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[4,3,7,5,1,2,6]=>[1,4,7,3,5,2,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[4,3,7,5,1,6,2]=>[4,7,3,5,6,1,2]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[4,3,7,5,2,1,6]=>[4,7,3,5,2,1,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,3,7,5,2,6,1]=>[4,7,3,5,2,6,1]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,3,7,5,6,1,2]=>[1,4,7,3,5,6,2]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[4,3,7,5,6,2,1]=>[4,7,3,5,6,2,1]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,3,7,6,1,2,5]=>[1,4,7,3,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[4,3,7,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[4,3,7,6,2,1,5]=>[4,7,3,2,6,1,5]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[4,3,7,6,2,5,1]=>[4,7,3,2,6,5,1]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[4,3,7,6,5,1,2]=>[1,7,6,4,3,5,2]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[4,3,7,6,5,2,1]=>[7,6,4,3,5,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[4,3]
[4,5,1,2,3,6,7]=>[1,2,4,5,3,6,7]=>[[1,2,3,5,6,7],[4]]=>[4,3]
[4,5,1,2,3,7,6]=>[7,1,2,4,5,3,6]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[4,5,1,2,6,3,7]=>[4,1,5,6,2,3,7]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[4,5,1,2,6,7,3]=>[4,1,5,6,2,7,3]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[4,5,1,2,7,3,6]=>[4,1,5,2,7,3,6]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[4,5,1,2,7,6,3]=>[7,4,1,5,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[4,5,1,3,2,6,7]=>[4,1,5,3,2,6,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,5,1,3,2,7,6]=>[7,4,1,5,3,2,6]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,5,1,3,6,2,7]=>[4,1,5,3,6,2,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,5,1,3,6,7,2]=>[4,1,5,3,6,7,2]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,5,1,3,7,2,6]=>[4,1,5,3,2,7,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[4,5,1,3,7,6,2]=>[7,4,1,5,3,6,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,5,1,6,2,3,7]=>[1,4,5,6,2,3,7]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[4,5,1,6,2,7,3]=>[4,5,6,7,1,2,3]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[4,5,1,6,3,2,7]=>[4,5,6,3,1,2,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,5,1,6,3,7,2]=>[4,5,6,3,1,7,2]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,5,1,6,7,2,3]=>[1,4,5,6,2,7,3]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[4,5,1,6,7,3,2]=>[4,5,6,7,1,3,2]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,5,1,7,2,3,6]=>[1,4,5,2,7,3,6]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[4,5,1,7,2,6,3]=>[4,5,7,1,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[4,5,1,7,3,2,6]=>[4,5,3,7,1,2,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[4,5,1,7,3,6,2]=>[4,5,7,1,3,6,2]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[4,5,1,7,6,2,3]=>[1,7,4,5,6,2,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[4,5,1,7,6,3,2]=>[7,4,5,6,3,1,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,5,2,1,3,6,7]=>[2,4,5,1,3,6,7]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[4,5,2,1,3,7,6]=>[7,2,4,5,1,3,6]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[4,5,2,1,6,3,7]=>[4,5,6,2,1,3,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,5,2,1,6,7,3]=>[4,5,6,2,1,7,3]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,5,2,1,7,3,6]=>[4,5,2,7,1,3,6]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[4,5,2,1,7,6,3]=>[7,4,5,6,2,1,3]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[4,5,2,3,1,6,7]=>[2,4,5,3,1,6,7]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[4,5,2,3,1,7,6]=>[7,2,4,5,3,1,6]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[4,5,2,3,6,1,7]=>[2,4,5,3,6,1,7]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[4,5,2,3,6,7,1]=>[2,4,5,3,6,7,1]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[4,5,2,3,7,1,6]=>[2,4,5,3,1,7,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[4,5,2,3,7,6,1]=>[7,2,4,5,3,6,1]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[4,5,2,6,1,3,7]=>[2,4,5,1,6,3,7]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[4,5,2,6,1,7,3]=>[4,5,6,2,7,1,3]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,5,2,6,3,1,7]=>[4,5,6,2,3,1,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,5,2,6,3,7,1]=>[4,5,6,2,3,7,1]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,5,2,6,7,1,3]=>[2,4,5,1,6,7,3]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[4,5,2,6,7,3,1]=>[4,5,6,2,7,3,1]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,5,2,7,1,3,6]=>[2,4,5,1,3,7,6]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[4,5,2,7,1,6,3]=>[4,5,7,2,1,6,3]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[4,5,2,7,3,1,6]=>[4,5,2,7,3,1,6]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[4,5,2,7,3,6,1]=>[4,5,2,7,3,6,1]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[4,5,2,7,6,1,3]=>[2,7,4,5,1,6,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[4,5,2,7,6,3,1]=>[7,4,5,6,2,3,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[4,5,3,1,2,6,7]=>[1,4,5,3,2,6,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[4,5,3,1,2,7,6]=>[7,1,4,5,3,2,6]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[4,5,3,1,6,2,7]=>[4,5,3,6,1,2,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,5,3,1,6,7,2]=>[4,5,3,6,1,7,2]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,5,3,1,7,2,6]=>[4,5,3,1,7,2,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[4,5,3,1,7,6,2]=>[7,4,5,3,6,1,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,5,3,2,1,6,7]=>[4,5,3,2,1,6,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[4,5,3,2,1,7,6]=>[7,4,5,3,2,1,6]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[4,5,3,2,6,1,7]=>[4,5,3,2,6,1,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[4,5,3,2,6,7,1]=>[4,5,3,2,6,7,1]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[4,5,3,2,7,1,6]=>[4,5,3,2,1,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,5,3,2,7,6,1]=>[7,4,5,3,2,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[4,5,3,6,1,2,7]=>[1,4,5,3,6,2,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[4,5,3,6,1,7,2]=>[4,5,3,6,7,1,2]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,5,3,6,2,1,7]=>[4,5,3,6,2,1,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[4,5,3,6,2,7,1]=>[4,5,3,6,2,7,1]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[4,5,3,6,7,1,2]=>[1,4,5,3,6,7,2]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[4,5,3,6,7,2,1]=>[4,5,3,6,7,2,1]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[4,5,3,7,1,2,6]=>[1,4,5,3,2,7,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[4,5,3,7,1,6,2]=>[4,5,3,7,1,6,2]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[4,5,3,7,2,1,6]=>[4,5,3,2,7,1,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,5,3,7,2,6,1]=>[4,5,3,2,7,6,1]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,5,3,7,6,1,2]=>[1,7,4,5,3,6,2]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[4,5,3,7,6,2,1]=>[7,4,5,3,6,2,1]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[4,5,6,1,2,3,7]=>[1,2,4,5,6,3,7]=>[[1,2,3,5,6,7],[4]]=>[4,3]
[4,5,6,1,2,7,3]=>[4,1,5,6,7,2,3]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[4,5,6,1,3,2,7]=>[4,1,5,6,3,2,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,5,6,1,3,7,2]=>[4,1,5,6,3,7,2]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,5,6,1,7,2,3]=>[1,4,5,6,7,2,3]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[4,5,6,1,7,3,2]=>[4,5,6,7,3,1,2]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,5,6,2,1,3,7]=>[2,4,5,6,1,3,7]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[4,5,6,2,1,7,3]=>[4,5,6,7,2,1,3]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,5,6,2,3,1,7]=>[2,4,5,6,3,1,7]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[4,5,6,2,3,7,1]=>[2,4,5,6,3,7,1]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[4,5,6,2,7,1,3]=>[2,4,5,6,1,7,3]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[4,5,6,2,7,3,1]=>[4,5,6,7,2,3,1]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,5,6,3,1,2,7]=>[1,4,5,6,3,2,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[4,5,6,3,1,7,2]=>[4,5,6,3,7,1,2]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,5,6,3,2,1,7]=>[4,5,6,3,2,1,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[4,5,6,3,2,7,1]=>[4,5,6,3,2,7,1]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[4,5,6,3,7,1,2]=>[1,4,5,6,3,7,2]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[4,5,6,3,7,2,1]=>[4,5,6,3,7,2,1]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[4,5,6,7,1,2,3]=>[1,2,4,5,6,7,3]=>[[1,2,3,5,6,7],[4]]=>[4,3]
[4,5,6,7,1,3,2]=>[4,1,5,6,7,3,2]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,5,6,7,2,1,3]=>[2,4,5,6,7,1,3]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[4,5,6,7,2,3,1]=>[2,4,5,6,7,3,1]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[4,5,6,7,3,1,2]=>[1,4,5,6,7,3,2]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[4,5,6,7,3,2,1]=>[4,5,6,7,3,2,1]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[4,5,7,1,2,3,6]=>[1,2,4,5,3,7,6]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[4,5,7,1,2,6,3]=>[4,1,5,7,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[4,5,7,1,3,2,6]=>[4,1,5,3,7,2,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[4,5,7,1,3,6,2]=>[4,1,5,3,7,6,2]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[4,5,7,1,6,2,3]=>[1,4,5,7,2,6,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[4,5,7,1,6,3,2]=>[4,5,7,6,1,3,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,5,7,2,1,3,6]=>[2,4,5,1,7,3,6]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[4,5,7,2,1,6,3]=>[4,5,7,2,6,1,3]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[4,5,7,2,3,1,6]=>[2,4,5,3,7,1,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[4,5,7,2,3,6,1]=>[2,4,5,3,7,6,1]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[4,5,7,2,6,1,3]=>[2,4,5,1,7,6,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[4,5,7,2,6,3,1]=>[4,5,7,2,6,3,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[4,5,7,3,1,2,6]=>[1,4,5,3,7,2,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[4,5,7,3,1,6,2]=>[4,5,3,7,6,1,2]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[4,5,7,3,2,1,6]=>[4,5,3,7,2,1,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,5,7,3,2,6,1]=>[4,5,3,7,2,6,1]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,5,7,3,6,1,2]=>[1,4,5,3,7,6,2]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[4,5,7,3,6,2,1]=>[4,5,3,7,6,2,1]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,5,7,6,1,2,3]=>[1,2,7,4,5,6,3]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[4,5,7,6,1,3,2]=>[7,1,4,5,6,3,2]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[4,5,7,6,2,1,3]=>[2,7,4,5,6,1,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[4,5,7,6,2,3,1]=>[2,7,4,5,6,3,1]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[4,5,7,6,3,1,2]=>[1,7,4,5,6,3,2]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[4,5,7,6,3,2,1]=>[7,4,5,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[4,6,1,2,3,5,7]=>[1,2,4,3,6,5,7]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[4,6,1,2,3,7,5]=>[6,1,2,4,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[4,6,1,2,5,3,7]=>[4,1,6,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[4,6,1,2,5,7,3]=>[4,1,6,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[4,6,1,2,7,3,5]=>[4,1,2,6,7,3,5]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[4,6,1,2,7,5,3]=>[6,4,1,7,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[4,6,1,3,2,5,7]=>[4,1,3,6,2,5,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[4,6,1,3,2,7,5]=>[6,4,1,7,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[4,6,1,3,5,2,7]=>[4,1,3,6,5,2,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[4,6,1,3,5,7,2]=>[4,1,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[4,6,1,3,7,2,5]=>[4,1,3,6,2,7,5]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[4,6,1,3,7,5,2]=>[6,4,1,7,3,5,2]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[4,6,1,5,2,3,7]=>[1,4,6,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[4,6,1,5,2,7,3]=>[4,6,5,1,7,2,3]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[4,6,1,5,3,2,7]=>[4,6,5,1,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[4,6,1,5,3,7,2]=>[4,6,5,1,3,7,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[4,6,1,5,7,2,3]=>[1,4,6,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[4,6,1,5,7,3,2]=>[4,6,5,1,7,3,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[4,6,1,7,2,3,5]=>[1,4,2,6,7,3,5]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[4,6,1,7,2,5,3]=>[4,6,1,7,5,2,3]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[4,6,1,7,3,2,5]=>[4,3,6,7,1,2,5]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[4,6,1,7,3,5,2]=>[4,6,1,7,3,5,2]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[4,6,1,7,5,2,3]=>[1,6,4,7,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[4,6,1,7,5,3,2]=>[6,4,7,5,3,1,2]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[4,6,2,1,3,5,7]=>[2,4,1,6,3,5,7]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[4,6,2,1,3,7,5]=>[6,2,4,7,1,3,5]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[4,6,2,1,5,3,7]=>[4,6,2,5,1,3,7]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[4,6,2,1,5,7,3]=>[4,6,2,5,1,7,3]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[4,6,2,1,7,3,5]=>[4,2,6,7,1,3,5]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[4,6,2,1,7,5,3]=>[6,4,7,5,2,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[4,6,2,3,1,5,7]=>[2,4,3,6,1,5,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[4,6,2,3,1,7,5]=>[6,2,4,7,3,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[4,6,2,3,5,1,7]=>[2,4,3,6,5,1,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[4,6,2,3,5,7,1]=>[2,4,3,6,5,7,1]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[4,6,2,3,7,1,5]=>[2,4,3,6,1,7,5]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[4,6,2,3,7,5,1]=>[6,2,4,7,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[4,6,2,5,1,3,7]=>[2,4,1,6,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[4,6,2,5,1,7,3]=>[4,6,2,5,7,1,3]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[4,6,2,5,3,1,7]=>[4,6,2,5,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[4,6,2,5,3,7,1]=>[4,6,2,5,3,7,1]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[4,6,2,5,7,1,3]=>[2,4,1,6,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[4,6,2,5,7,3,1]=>[4,6,2,5,7,3,1]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[4,6,2,7,1,3,5]=>[2,4,1,6,3,7,5]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[4,6,2,7,1,5,3]=>[4,6,2,7,1,5,3]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[4,6,2,7,3,1,5]=>[4,2,6,7,3,1,5]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[4,6,2,7,3,5,1]=>[4,2,6,7,3,5,1]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[4,6,2,7,5,1,3]=>[2,6,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[4,6,2,7,5,3,1]=>[6,4,7,5,2,3,1]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[4,6,3,1,2,5,7]=>[1,4,3,6,2,5,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[4,6,3,1,2,7,5]=>[6,1,4,7,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[4,6,3,1,5,2,7]=>[4,3,6,5,1,2,7]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[4,6,3,1,5,7,2]=>[4,3,6,5,1,7,2]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[4,6,3,1,7,2,5]=>[4,3,6,1,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[4,6,3,1,7,5,2]=>[6,4,7,3,5,1,2]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[4,6,3,2,1,5,7]=>[4,3,6,2,1,5,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[4,6,3,2,1,7,5]=>[6,4,7,3,2,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[4,6,3,2,5,1,7]=>[4,3,6,2,5,1,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[4,6,3,2,5,7,1]=>[4,3,6,2,5,7,1]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[4,6,3,2,7,1,5]=>[4,3,6,2,1,7,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[4,6,3,2,7,5,1]=>[6,4,7,3,2,5,1]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[4,6,3,5,1,2,7]=>[1,4,3,6,5,2,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[4,6,3,5,1,7,2]=>[4,3,6,5,7,1,2]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[4,6,3,5,2,1,7]=>[4,3,6,5,2,1,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[4,6,3,5,2,7,1]=>[4,3,6,5,2,7,1]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[4,6,3,5,7,1,2]=>[1,4,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[4,6,3,5,7,2,1]=>[4,3,6,5,7,2,1]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[4,6,3,7,1,2,5]=>[1,4,3,6,2,7,5]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[4,6,3,7,1,5,2]=>[4,3,6,7,1,5,2]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[4,6,3,7,2,1,5]=>[4,3,6,2,7,1,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[4,6,3,7,2,5,1]=>[4,3,6,2,7,5,1]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[4,6,3,7,5,1,2]=>[1,6,4,7,3,5,2]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[4,6,3,7,5,2,1]=>[6,4,7,3,5,2,1]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[4,6,5,1,2,3,7]=>[1,2,6,4,5,3,7]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[4,6,5,1,2,7,3]=>[6,1,4,5,7,2,3]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[4,6,5,1,3,2,7]=>[6,1,4,5,3,2,7]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[4,6,5,1,3,7,2]=>[6,1,4,5,3,7,2]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[4,6,5,1,7,2,3]=>[1,6,4,5,7,2,3]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[4,6,5,1,7,3,2]=>[6,4,5,7,3,1,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[4,6,5,2,1,3,7]=>[2,6,4,5,1,3,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[4,6,5,2,1,7,3]=>[6,4,5,7,2,1,3]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[4,6,5,2,3,1,7]=>[2,6,4,5,3,1,7]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[4,6,5,2,3,7,1]=>[2,6,4,5,3,7,1]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[4,6,5,2,7,1,3]=>[2,6,4,5,1,7,3]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[4,6,5,2,7,3,1]=>[6,4,5,7,2,3,1]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[4,6,5,3,1,2,7]=>[1,6,4,5,3,2,7]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[4,6,5,3,1,7,2]=>[6,4,5,3,7,1,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[4,6,5,3,2,1,7]=>[6,4,5,3,2,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[4,6,5,3,2,7,1]=>[6,4,5,3,2,7,1]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[4,6,5,3,7,1,2]=>[1,6,4,5,3,7,2]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[4,6,5,3,7,2,1]=>[6,4,5,3,7,2,1]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[4,6,5,7,1,2,3]=>[1,2,6,4,5,7,3]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[4,6,5,7,1,3,2]=>[6,1,4,5,7,3,2]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[4,6,5,7,2,1,3]=>[2,6,4,5,7,1,3]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[4,6,5,7,2,3,1]=>[2,6,4,5,7,3,1]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[4,6,5,7,3,1,2]=>[1,6,4,5,7,3,2]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[4,6,5,7,3,2,1]=>[6,4,5,7,3,2,1]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[4,6,7,1,2,3,5]=>[1,2,4,3,6,7,5]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[4,6,7,1,2,5,3]=>[4,1,6,2,7,5,3]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[4,6,7,1,3,2,5]=>[4,1,3,6,7,2,5]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[4,6,7,1,3,5,2]=>[4,1,3,6,7,5,2]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[4,6,7,1,5,2,3]=>[1,4,6,2,7,5,3]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[4,6,7,1,5,3,2]=>[4,6,7,1,5,3,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[4,6,7,2,1,3,5]=>[2,4,1,6,7,3,5]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[4,6,7,2,1,5,3]=>[4,6,2,7,5,1,3]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[4,6,7,2,3,1,5]=>[2,4,3,6,7,1,5]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[4,6,7,2,3,5,1]=>[2,4,3,6,7,5,1]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[4,6,7,2,5,1,3]=>[2,4,1,6,7,5,3]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[4,6,7,2,5,3,1]=>[4,6,2,7,5,3,1]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[4,6,7,3,1,2,5]=>[1,4,3,6,7,2,5]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[4,6,7,3,1,5,2]=>[4,3,6,7,5,1,2]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[4,6,7,3,2,1,5]=>[4,3,6,7,2,1,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[4,6,7,3,2,5,1]=>[4,3,6,7,2,5,1]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[4,6,7,3,5,1,2]=>[1,4,3,6,7,5,2]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[4,6,7,3,5,2,1]=>[4,3,6,7,5,2,1]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[4,6,7,5,1,2,3]=>[1,2,6,4,7,5,3]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[4,6,7,5,1,3,2]=>[6,1,4,7,5,3,2]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[4,6,7,5,2,1,3]=>[2,6,4,7,5,1,3]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[4,6,7,5,2,3,1]=>[2,6,4,7,5,3,1]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[4,6,7,5,3,1,2]=>[1,6,4,7,5,3,2]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[4,6,7,5,3,2,1]=>[6,4,7,5,3,2,1]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[4,7,1,2,3,5,6]=>[1,2,4,3,5,7,6]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[4,7,1,2,3,6,5]=>[7,1,2,4,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[4,7,1,2,5,3,6]=>[4,1,2,7,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[4,7,1,2,5,6,3]=>[4,1,5,2,7,6,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[4,7,1,2,6,3,5]=>[4,1,2,7,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[4,7,1,2,6,5,3]=>[7,4,1,6,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[4,7,1,3,2,5,6]=>[4,1,3,2,7,5,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[4,7,1,3,2,6,5]=>[7,4,1,3,6,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[4,7,1,3,5,2,6]=>[4,1,3,5,7,2,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[4,7,1,3,5,6,2]=>[4,1,3,5,7,6,2]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[4,7,1,3,6,2,5]=>[4,1,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[4,7,1,3,6,5,2]=>[7,4,1,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[4,7,1,5,2,3,6]=>[1,4,2,7,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[4,7,1,5,2,6,3]=>[4,7,1,5,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[4,7,1,5,3,2,6]=>[4,5,7,1,3,2,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[4,7,1,5,3,6,2]=>[4,7,1,5,3,6,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,7,1,5,6,2,3]=>[1,4,5,2,7,6,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[4,7,1,5,6,3,2]=>[4,5,7,1,6,3,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,7,1,6,2,3,5]=>[1,4,2,7,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[4,7,1,6,2,5,3]=>[4,7,1,6,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[4,7,1,6,3,2,5]=>[4,1,7,6,3,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[4,7,1,6,3,5,2]=>[4,7,1,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[4,7,1,6,5,2,3]=>[1,7,4,6,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[4,7,1,6,5,3,2]=>[7,4,6,5,1,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[4,7,2,1,3,5,6]=>[2,4,1,3,7,5,6]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[4,7,2,1,3,6,5]=>[7,2,4,1,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[4,7,2,1,5,3,6]=>[4,2,7,5,1,3,6]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[4,7,2,1,5,6,3]=>[4,7,2,1,5,6,3]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[4,7,2,1,6,3,5]=>[4,2,7,1,6,3,5]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[4,7,2,1,6,5,3]=>[7,4,6,2,5,1,3]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[4,7,2,3,1,5,6]=>[2,4,3,1,7,5,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[4,7,2,3,1,6,5]=>[7,2,4,3,6,1,5]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[4,7,2,3,5,1,6]=>[2,4,3,5,7,1,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[4,7,2,3,5,6,1]=>[2,4,3,5,7,6,1]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[4,7,2,3,6,1,5]=>[2,4,3,1,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[4,7,2,3,6,5,1]=>[7,2,4,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[4,7,2,5,1,3,6]=>[2,4,1,5,7,3,6]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[4,7,2,5,1,6,3]=>[4,5,2,7,6,1,3]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[4,7,2,5,3,1,6]=>[4,2,7,5,3,1,6]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[4,7,2,5,3,6,1]=>[4,2,7,5,3,6,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[4,7,2,5,6,1,3]=>[2,4,1,5,7,6,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[4,7,2,5,6,3,1]=>[4,5,2,7,6,3,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[4,7,2,6,1,3,5]=>[2,4,1,3,7,6,5]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[4,7,2,6,1,5,3]=>[4,7,2,1,6,5,3]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[4,7,2,6,3,1,5]=>[4,2,7,3,6,1,5]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[4,7,2,6,3,5,1]=>[4,2,7,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[4,7,2,6,5,1,3]=>[2,7,4,1,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[4,7,2,6,5,3,1]=>[7,4,6,2,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[4,7,3,1,2,5,6]=>[1,4,3,2,7,5,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[4,7,3,1,2,6,5]=>[7,1,4,3,6,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[4,7,3,1,5,2,6]=>[4,3,5,7,1,2,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[4,7,3,1,5,6,2]=>[4,3,7,1,5,6,2]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[4,7,3,1,6,2,5]=>[4,3,1,7,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[4,7,3,1,6,5,2]=>[7,4,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[4,7,3,2,1,5,6]=>[4,3,2,7,1,5,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,7,3,2,1,6,5]=>[7,4,3,6,2,1,5]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[4,7,3,2,5,1,6]=>[4,3,2,7,5,1,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,7,3,2,5,6,1]=>[4,3,2,7,5,6,1]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,7,3,2,6,1,5]=>[4,3,2,7,1,6,5]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[4,7,3,2,6,5,1]=>[7,4,3,6,2,5,1]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[4,7,3,5,1,2,6]=>[1,4,3,5,7,2,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[4,7,3,5,1,6,2]=>[4,3,5,7,6,1,2]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[4,7,3,5,2,1,6]=>[4,3,5,7,2,1,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,7,3,5,2,6,1]=>[4,3,5,7,2,6,1]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,7,3,5,6,1,2]=>[1,4,3,5,7,6,2]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[4,7,3,5,6,2,1]=>[4,3,5,7,6,2,1]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,7,3,6,1,2,5]=>[1,4,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[4,7,3,6,1,5,2]=>[4,3,7,1,6,5,2]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[4,7,3,6,2,1,5]=>[4,3,2,7,6,1,5]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[4,7,3,6,2,5,1]=>[4,3,2,7,6,5,1]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[4,7,3,6,5,1,2]=>[1,7,4,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[4,7,3,6,5,2,1]=>[7,4,3,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[4,7,5,1,2,3,6]=>[1,2,4,7,5,3,6]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[4,7,5,1,2,6,3]=>[4,1,7,5,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[4,7,5,1,3,2,6]=>[1,7,4,5,3,2,6]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[4,7,5,1,3,6,2]=>[4,1,7,5,3,6,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,7,5,1,6,2,3]=>[1,4,7,5,6,2,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[4,7,5,1,6,3,2]=>[4,7,5,6,3,1,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,7,5,2,1,3,6]=>[2,4,7,5,1,3,6]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[4,7,5,2,1,6,3]=>[4,7,5,6,2,1,3]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[4,7,5,2,3,1,6]=>[2,4,7,5,3,1,6]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[4,7,5,2,3,6,1]=>[2,4,7,5,3,6,1]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[4,7,5,2,6,1,3]=>[2,4,7,5,1,6,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[4,7,5,2,6,3,1]=>[4,7,5,6,2,3,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[4,7,5,3,1,2,6]=>[1,4,7,5,3,2,6]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[4,7,5,3,1,6,2]=>[4,7,5,3,6,1,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,7,5,3,2,1,6]=>[4,7,5,3,2,1,6]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[4,7,5,3,2,6,1]=>[4,7,5,3,2,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[4,7,5,3,6,1,2]=>[1,4,7,5,3,6,2]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[4,7,5,3,6,2,1]=>[4,7,5,3,6,2,1]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[4,7,5,6,1,2,3]=>[1,2,4,7,5,6,3]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[4,7,5,6,1,3,2]=>[4,1,7,5,6,3,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,7,5,6,2,1,3]=>[2,4,7,5,6,1,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[4,7,5,6,2,3,1]=>[2,4,7,5,6,3,1]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[4,7,5,6,3,1,2]=>[1,4,7,5,6,3,2]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[4,7,5,6,3,2,1]=>[4,7,5,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[4,7,6,1,2,3,5]=>[1,2,4,7,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[4,7,6,1,2,5,3]=>[4,1,7,6,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[4,7,6,1,3,2,5]=>[1,7,4,3,6,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[4,7,6,1,3,5,2]=>[4,1,7,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[4,7,6,1,5,2,3]=>[1,4,7,6,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[4,7,6,1,5,3,2]=>[4,7,6,5,1,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[4,7,6,2,1,3,5]=>[2,4,7,1,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[4,7,6,2,1,5,3]=>[4,7,6,2,5,1,3]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[4,7,6,2,3,1,5]=>[2,4,7,3,6,1,5]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[4,7,6,2,3,5,1]=>[2,4,7,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[4,7,6,2,5,1,3]=>[2,4,7,1,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[4,7,6,2,5,3,1]=>[4,7,6,2,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[4,7,6,3,1,2,5]=>[1,4,7,3,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[4,7,6,3,1,5,2]=>[4,7,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[4,7,6,3,2,1,5]=>[4,7,3,6,2,1,5]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[4,7,6,3,2,5,1]=>[4,7,3,6,2,5,1]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[4,7,6,3,5,1,2]=>[1,4,7,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[4,7,6,3,5,2,1]=>[4,7,3,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[4,7,6,5,1,2,3]=>[1,2,7,6,4,5,3]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[4,7,6,5,1,3,2]=>[7,1,6,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[4,7,6,5,2,1,3]=>[2,7,6,4,5,1,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[4,7,6,5,2,3,1]=>[2,7,6,4,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[4,7,6,5,3,1,2]=>[1,7,6,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[4,7,6,5,3,2,1]=>[7,6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[4,3]
[5,1,2,3,4,6,7]=>[1,2,3,5,4,6,7]=>[[1,2,3,4,6,7],[5]]=>[5,2]
[5,1,2,3,4,7,6]=>[7,1,2,3,5,4,6]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[5,1,2,3,6,4,7]=>[5,1,2,6,3,4,7]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[5,1,2,3,6,7,4]=>[5,1,2,6,3,7,4]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[5,1,2,3,7,4,6]=>[5,1,2,3,7,4,6]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[5,1,2,3,7,6,4]=>[7,5,1,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[5,1,2,4,3,6,7]=>[5,1,2,4,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[5,1,2,4,3,7,6]=>[7,5,1,2,4,3,6]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[5,1,2,4,6,3,7]=>[5,1,2,4,6,3,7]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[5,1,2,4,6,7,3]=>[5,1,2,4,6,7,3]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[5,1,2,4,7,3,6]=>[5,1,2,4,3,7,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[5,1,2,4,7,6,3]=>[7,5,1,2,4,6,3]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[5,1,2,6,3,4,7]=>[1,5,2,6,3,4,7]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[5,1,2,6,3,7,4]=>[5,6,1,7,2,3,4]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[5,1,2,6,4,3,7]=>[5,6,1,4,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,1,2,6,4,7,3]=>[5,6,1,4,2,7,3]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[5,1,2,6,7,3,4]=>[1,5,2,6,3,7,4]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[5,1,2,6,7,4,3]=>[5,6,1,7,2,4,3]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[5,1,2,7,3,4,6]=>[1,5,2,3,7,4,6]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[5,1,2,7,3,6,4]=>[5,7,1,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[5,1,2,7,4,3,6]=>[5,1,7,4,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[5,1,2,7,4,6,3]=>[5,7,1,2,4,6,3]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[5,1,2,7,6,3,4]=>[1,7,5,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[5,1,2,7,6,4,3]=>[7,5,6,1,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[5,1,3,2,4,6,7]=>[1,5,3,2,4,6,7]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[5,1,3,2,4,7,6]=>[7,1,5,3,2,4,6]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[5,1,3,2,6,4,7]=>[5,6,1,3,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[5,1,3,2,6,7,4]=>[5,6,1,3,2,7,4]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[5,1,3,2,7,4,6]=>[5,1,7,3,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[5,1,3,2,7,6,4]=>[7,5,6,1,3,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[5,1,3,4,2,6,7]=>[3,1,5,4,2,6,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,1,3,4,2,7,6]=>[7,3,1,5,4,2,6]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[5,1,3,4,6,2,7]=>[3,1,5,4,6,2,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,1,3,4,6,7,2]=>[3,1,5,4,6,7,2]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,1,3,4,7,2,6]=>[3,1,5,4,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[5,1,3,4,7,6,2]=>[7,3,1,5,4,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[5,1,3,6,2,4,7]=>[1,5,3,2,6,4,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[5,1,3,6,2,7,4]=>[5,6,1,3,7,2,4]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[5,1,3,6,4,2,7]=>[5,6,1,3,4,2,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[5,1,3,6,4,7,2]=>[5,6,1,3,4,7,2]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[5,1,3,6,7,2,4]=>[1,5,3,2,6,7,4]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[5,1,3,6,7,4,2]=>[5,6,1,3,7,4,2]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[5,1,3,7,2,4,6]=>[1,5,3,2,4,7,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[5,1,3,7,2,6,4]=>[5,7,1,3,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[5,1,3,7,4,2,6]=>[5,1,7,3,4,2,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[5,1,3,7,4,6,2]=>[5,3,1,7,4,6,2]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[5,1,3,7,6,2,4]=>[1,7,5,3,2,6,4]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[5,1,3,7,6,4,2]=>[7,5,6,1,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[5,1,4,2,3,6,7]=>[1,5,2,4,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[5,1,4,2,3,7,6]=>[7,1,5,2,4,3,6]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[5,1,4,2,6,3,7]=>[5,4,1,6,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,1,4,2,6,7,3]=>[5,4,1,6,2,7,3]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[5,1,4,2,7,3,6]=>[5,4,1,2,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[5,1,4,2,7,6,3]=>[7,5,4,1,6,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[5,1,4,3,2,6,7]=>[5,4,1,3,2,6,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[5,1,4,3,2,7,6]=>[7,5,4,1,3,2,6]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[5,1,4,3,6,2,7]=>[5,4,1,3,6,2,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[5,1,4,3,6,7,2]=>[5,4,1,3,6,7,2]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[5,1,4,3,7,2,6]=>[5,4,1,3,2,7,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,1,4,3,7,6,2]=>[7,5,4,1,3,6,2]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[5,1,4,6,2,3,7]=>[1,5,2,4,6,3,7]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[5,1,4,6,2,7,3]=>[5,4,1,6,7,2,3]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[5,1,4,6,3,2,7]=>[5,4,1,6,3,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,1,4,6,3,7,2]=>[5,4,1,6,3,7,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,1,4,6,7,2,3]=>[1,5,2,4,6,7,3]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[5,1,4,6,7,3,2]=>[5,4,1,6,7,3,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,1,4,7,2,3,6]=>[1,5,2,4,3,7,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[5,1,4,7,2,6,3]=>[5,4,1,7,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[5,1,4,7,3,2,6]=>[5,4,1,3,7,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,1,4,7,3,6,2]=>[5,4,1,3,7,6,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,1,4,7,6,2,3]=>[1,7,5,2,4,6,3]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[5,1,4,7,6,3,2]=>[7,5,4,1,6,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[5,1,6,2,3,4,7]=>[1,2,5,6,3,4,7]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[5,1,6,2,3,7,4]=>[5,1,6,7,2,3,4]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[5,1,6,2,4,3,7]=>[5,1,6,4,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,1,6,2,4,7,3]=>[5,1,6,4,2,7,3]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[5,1,6,2,7,3,4]=>[1,5,6,7,2,3,4]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[5,1,6,2,7,4,3]=>[5,6,7,4,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[5,1,6,3,2,4,7]=>[3,5,6,1,2,4,7]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[5,1,6,3,2,7,4]=>[5,6,7,3,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[5,1,6,3,4,2,7]=>[5,1,6,3,4,2,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[5,1,6,3,4,7,2]=>[5,1,6,3,4,7,2]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[5,1,6,3,7,2,4]=>[3,5,6,1,2,7,4]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[5,1,6,3,7,4,2]=>[5,6,7,3,1,4,2]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[5,1,6,4,2,3,7]=>[1,5,6,4,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,1,6,4,2,7,3]=>[5,6,4,7,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[5,1,6,4,3,2,7]=>[5,6,4,3,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,1,6,4,3,7,2]=>[5,6,4,3,1,7,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,1,6,4,7,2,3]=>[1,5,6,4,2,7,3]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,1,6,4,7,3,2]=>[5,6,4,7,1,3,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,1,6,7,2,3,4]=>[1,2,5,6,3,7,4]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[5,1,6,7,2,4,3]=>[5,1,6,7,2,4,3]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[5,1,6,7,3,2,4]=>[1,5,6,7,3,2,4]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[5,1,6,7,3,4,2]=>[5,1,6,3,7,4,2]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[5,1,6,7,4,2,3]=>[1,5,6,7,2,4,3]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,1,6,7,4,3,2]=>[5,6,7,4,1,3,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,1,7,2,3,4,6]=>[1,2,5,3,7,4,6]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[5,1,7,2,3,6,4]=>[5,1,7,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[5,1,7,2,4,3,6]=>[5,1,4,7,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[5,1,7,2,4,6,3]=>[5,1,7,2,4,6,3]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[5,1,7,2,6,3,4]=>[1,5,7,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[5,1,7,2,6,4,3]=>[5,7,6,1,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[5,1,7,3,2,4,6]=>[3,5,1,7,2,4,6]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[5,1,7,3,2,6,4]=>[5,7,3,6,1,2,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[5,1,7,3,4,2,6]=>[5,1,3,7,4,2,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[5,1,7,3,4,6,2]=>[5,1,3,7,4,6,2]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[5,1,7,3,6,2,4]=>[1,5,7,3,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[5,1,7,3,6,4,2]=>[5,7,6,1,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[5,1,7,4,2,3,6]=>[1,5,4,7,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[5,1,7,4,2,6,3]=>[5,4,7,6,1,2,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[5,1,7,4,3,2,6]=>[5,4,7,3,1,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,1,7,4,3,6,2]=>[5,4,7,3,1,6,2]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[5,1,7,4,6,2,3]=>[1,5,7,2,4,6,3]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[5,1,7,4,6,3,2]=>[5,7,4,1,6,3,2]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[5,1,7,6,2,3,4]=>[1,2,7,5,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[5,1,7,6,2,4,3]=>[7,1,5,6,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[5,1,7,6,3,2,4]=>[3,7,5,6,1,2,4]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[5,1,7,6,3,4,2]=>[7,1,5,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[5,1,7,6,4,2,3]=>[1,7,5,6,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[5,1,7,6,4,3,2]=>[7,5,6,4,3,1,2]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[5,2,1,3,4,6,7]=>[2,1,5,3,4,6,7]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[5,2,1,3,4,7,6]=>[7,2,1,5,3,4,6]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[5,2,1,3,6,4,7]=>[5,2,6,1,3,4,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[5,2,1,3,6,7,4]=>[5,2,6,1,3,7,4]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[5,2,1,3,7,4,6]=>[5,2,1,7,3,4,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[5,2,1,3,7,6,4]=>[7,5,2,6,1,3,4]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[5,2,1,4,3,6,7]=>[5,2,4,1,3,6,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,2,1,4,3,7,6]=>[7,5,2,4,1,3,6]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[5,2,1,4,6,3,7]=>[5,2,4,1,6,3,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,2,1,4,6,7,3]=>[5,2,4,1,6,7,3]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,2,1,4,7,3,6]=>[5,2,4,1,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[5,2,1,4,7,6,3]=>[7,5,2,4,1,6,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[5,2,1,6,3,4,7]=>[2,5,6,1,3,4,7]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[5,2,1,6,3,7,4]=>[5,6,7,2,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[5,2,1,6,4,3,7]=>[5,6,4,2,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[5,2,1,6,4,7,3]=>[5,6,4,2,1,7,3]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[5,2,1,6,7,3,4]=>[2,5,6,1,3,7,4]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[5,2,1,6,7,4,3]=>[5,6,7,2,1,4,3]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[5,2,1,7,3,4,6]=>[2,5,1,7,3,4,6]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[5,2,1,7,3,6,4]=>[5,7,2,6,1,3,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[5,2,1,7,4,3,6]=>[5,4,7,2,1,3,6]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[5,2,1,7,4,6,3]=>[5,7,2,4,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[5,2,1,7,6,3,4]=>[2,7,5,6,1,3,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[5,2,1,7,6,4,3]=>[7,5,6,4,2,1,3]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[5,2,3,1,4,6,7]=>[2,3,5,1,4,6,7]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[5,2,3,1,4,7,6]=>[7,2,3,5,1,4,6]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[5,2,3,1,6,4,7]=>[5,2,6,3,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[5,2,3,1,6,7,4]=>[5,2,6,3,1,7,4]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[5,2,3,1,7,4,6]=>[5,2,3,7,1,4,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[5,2,3,1,7,6,4]=>[7,5,2,6,3,1,4]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[5,2,3,4,1,6,7]=>[2,3,5,4,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[5,2,3,4,1,7,6]=>[7,2,3,5,4,1,6]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[5,2,3,4,6,1,7]=>[2,3,5,4,6,1,7]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[5,2,3,4,6,7,1]=>[2,3,5,4,6,7,1]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[5,2,3,4,7,1,6]=>[2,3,5,4,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[5,2,3,4,7,6,1]=>[7,2,3,5,4,6,1]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[5,2,3,6,1,4,7]=>[2,3,5,1,6,4,7]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[5,2,3,6,1,7,4]=>[5,2,6,3,7,1,4]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[5,2,3,6,4,1,7]=>[5,2,6,3,4,1,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[5,2,3,6,4,7,1]=>[5,2,6,3,4,7,1]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[5,2,3,6,7,1,4]=>[2,3,5,1,6,7,4]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[5,2,3,6,7,4,1]=>[5,2,6,3,7,4,1]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[5,2,3,7,1,4,6]=>[2,3,5,1,4,7,6]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[5,2,3,7,1,6,4]=>[5,2,7,3,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[5,2,3,7,4,1,6]=>[5,2,3,7,4,1,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[5,2,3,7,4,6,1]=>[5,2,3,7,4,6,1]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[5,2,3,7,6,1,4]=>[2,7,3,5,1,6,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[5,2,3,7,6,4,1]=>[7,5,2,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[5,2,4,1,3,6,7]=>[2,1,5,4,3,6,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,2,4,1,3,7,6]=>[7,2,1,5,4,3,6]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[5,2,4,1,6,3,7]=>[5,2,4,6,1,3,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,2,4,1,6,7,3]=>[5,2,4,6,1,7,3]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,2,4,1,7,3,6]=>[5,2,4,1,7,3,6]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[5,2,4,1,7,6,3]=>[7,5,2,4,6,1,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[5,2,4,3,1,6,7]=>[5,2,4,3,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[5,2,4,3,1,7,6]=>[7,5,2,4,3,1,6]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[5,2,4,3,6,1,7]=>[5,2,4,3,6,1,7]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[5,2,4,3,6,7,1]=>[5,2,4,3,6,7,1]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[5,2,4,3,7,1,6]=>[5,2,4,3,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[5,2,4,3,7,6,1]=>[7,5,2,4,3,6,1]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[5,2,4,6,1,3,7]=>[2,1,5,4,6,3,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,2,4,6,1,7,3]=>[5,2,4,6,7,1,3]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,2,4,6,3,1,7]=>[5,2,4,6,3,1,7]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[5,2,4,6,3,7,1]=>[5,2,4,6,3,7,1]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[5,2,4,6,7,1,3]=>[2,1,5,4,6,7,3]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,2,4,6,7,3,1]=>[5,2,4,6,7,3,1]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[5,2,4,7,1,3,6]=>[2,1,5,4,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[5,2,4,7,1,6,3]=>[5,2,4,7,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[5,2,4,7,3,1,6]=>[5,2,4,3,7,1,6]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[5,2,4,7,3,6,1]=>[5,2,4,3,7,6,1]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[5,2,4,7,6,1,3]=>[2,7,1,5,4,6,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[5,2,4,7,6,3,1]=>[7,5,2,4,6,3,1]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[5,2,6,1,3,4,7]=>[2,1,5,3,6,4,7]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[5,2,6,1,3,7,4]=>[5,2,6,1,7,3,4]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[5,2,6,1,4,3,7]=>[5,2,6,1,4,3,7]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[5,2,6,1,4,7,3]=>[5,2,6,1,4,7,3]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[5,2,6,1,7,3,4]=>[2,5,6,1,7,3,4]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[5,2,6,1,7,4,3]=>[5,6,7,2,4,1,3]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[5,2,6,3,1,4,7]=>[2,5,6,3,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[5,2,6,3,1,7,4]=>[5,6,7,2,3,1,4]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[5,2,6,3,4,1,7]=>[2,5,6,3,4,1,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[5,2,6,3,4,7,1]=>[2,5,6,3,4,7,1]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[5,2,6,3,7,1,4]=>[2,5,6,3,1,7,4]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[5,2,6,3,7,4,1]=>[5,6,7,2,3,4,1]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[5,2,6,4,1,3,7]=>[2,5,6,1,4,3,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,2,6,4,1,7,3]=>[5,6,4,2,7,1,3]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[5,2,6,4,3,1,7]=>[5,6,4,2,3,1,7]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[5,2,6,4,3,7,1]=>[5,6,4,2,3,7,1]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[5,2,6,4,7,1,3]=>[2,5,6,1,4,7,3]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,2,6,4,7,3,1]=>[5,6,4,2,7,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[5,2,6,7,1,3,4]=>[2,1,5,3,6,7,4]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[5,2,6,7,1,4,3]=>[5,2,6,1,7,4,3]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[5,2,6,7,3,1,4]=>[2,5,6,3,7,1,4]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[5,2,6,7,3,4,1]=>[2,5,6,3,7,4,1]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[5,2,6,7,4,1,3]=>[2,5,6,1,7,4,3]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,2,6,7,4,3,1]=>[5,6,7,2,4,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[5,2,7,1,3,4,6]=>[2,1,5,3,4,7,6]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[5,2,7,1,3,6,4]=>[5,2,7,1,3,6,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[5,2,7,1,4,3,6]=>[5,2,1,7,4,3,6]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[5,2,7,1,4,6,3]=>[5,2,4,1,7,6,3]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[5,2,7,1,6,3,4]=>[2,5,7,1,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[5,2,7,1,6,4,3]=>[5,7,6,2,1,4,3]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[5,2,7,3,1,4,6]=>[2,5,3,7,1,4,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[5,2,7,3,1,6,4]=>[5,7,2,6,3,1,4]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[5,2,7,3,4,1,6]=>[2,5,3,7,4,1,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[5,2,7,3,4,6,1]=>[2,5,3,7,4,6,1]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[5,2,7,3,6,1,4]=>[2,5,3,7,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[5,2,7,3,6,4,1]=>[5,7,2,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[5,2,7,4,1,3,6]=>[2,5,1,7,4,3,6]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[5,2,7,4,1,6,3]=>[5,7,2,4,6,1,3]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[5,2,7,4,3,1,6]=>[5,4,7,2,3,1,6]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[5,2,7,4,3,6,1]=>[5,4,7,2,3,6,1]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[5,2,7,4,6,1,3]=>[2,5,1,7,4,6,3]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[5,2,7,4,6,3,1]=>[5,7,2,4,6,3,1]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[5,2,7,6,1,3,4]=>[2,1,7,5,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[5,2,7,6,1,4,3]=>[7,2,5,6,1,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[5,2,7,6,3,1,4]=>[2,7,5,6,3,1,4]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[5,2,7,6,3,4,1]=>[2,7,5,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[5,2,7,6,4,1,3]=>[2,7,5,6,1,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[5,2,7,6,4,3,1]=>[7,5,6,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[5,3,1,2,4,6,7]=>[1,3,5,2,4,6,7]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[5,3,1,2,4,7,6]=>[7,1,3,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[5,3,1,2,6,4,7]=>[5,1,6,3,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[5,3,1,2,6,7,4]=>[5,1,6,3,2,7,4]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[5,3,1,2,7,4,6]=>[5,1,3,7,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[5,3,1,2,7,6,4]=>[7,5,1,6,3,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[5,3,1,4,2,6,7]=>[3,5,4,1,2,6,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,3,1,4,2,7,6]=>[7,3,5,4,1,2,6]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[5,3,1,4,6,2,7]=>[3,5,4,1,6,2,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,3,1,4,6,7,2]=>[3,5,4,1,6,7,2]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,3,1,4,7,2,6]=>[3,5,4,1,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[5,3,1,4,7,6,2]=>[7,3,5,4,1,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[5,3,1,6,2,4,7]=>[3,5,1,6,2,4,7]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[5,3,1,6,2,7,4]=>[5,6,3,7,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[5,3,1,6,4,2,7]=>[5,6,3,4,1,2,7]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[5,3,1,6,4,7,2]=>[5,6,3,4,1,7,2]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[5,3,1,6,7,2,4]=>[3,5,1,6,2,7,4]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[5,3,1,6,7,4,2]=>[5,6,3,7,1,4,2]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[5,3,1,7,2,4,6]=>[3,5,1,2,7,4,6]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[5,3,1,7,2,6,4]=>[5,7,3,1,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[5,3,1,7,4,2,6]=>[5,3,7,4,1,2,6]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[5,3,1,7,4,6,2]=>[5,3,7,4,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[5,3,1,7,6,2,4]=>[3,7,5,1,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[5,3,1,7,6,4,2]=>[7,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[5,3,2,1,4,6,7]=>[3,5,2,1,4,6,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[5,3,2,1,4,7,6]=>[7,3,5,2,1,4,6]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[5,3,2,1,6,4,7]=>[5,6,3,2,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[5,3,2,1,6,7,4]=>[5,6,3,2,1,7,4]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[5,3,2,1,7,4,6]=>[5,3,7,2,1,4,6]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[5,3,2,1,7,6,4]=>[7,5,6,3,2,1,4]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[5,3,2,4,1,6,7]=>[3,5,2,4,1,6,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[5,3,2,4,1,7,6]=>[7,3,5,2,4,1,6]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[5,3,2,4,6,1,7]=>[3,5,2,4,6,1,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[5,3,2,4,6,7,1]=>[3,5,2,4,6,7,1]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[5,3,2,4,7,1,6]=>[3,5,2,4,1,7,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[5,3,2,4,7,6,1]=>[7,3,5,2,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[5,3,2,6,1,4,7]=>[3,5,2,1,6,4,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[5,3,2,6,1,7,4]=>[5,6,3,2,7,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[5,3,2,6,4,1,7]=>[5,6,3,2,4,1,7]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[5,3,2,6,4,7,1]=>[5,6,3,2,4,7,1]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[5,3,2,6,7,1,4]=>[3,5,2,1,6,7,4]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[5,3,2,6,7,4,1]=>[5,6,3,2,7,4,1]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[5,3,2,7,1,4,6]=>[3,5,2,1,4,7,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[5,3,2,7,1,6,4]=>[5,7,3,2,1,6,4]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[5,3,2,7,4,1,6]=>[5,3,7,2,4,1,6]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[5,3,2,7,4,6,1]=>[5,3,7,2,4,6,1]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[5,3,2,7,6,1,4]=>[3,7,5,2,1,6,4]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[5,3,2,7,6,4,1]=>[7,5,6,3,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[5,3,4,1,2,6,7]=>[1,3,5,4,2,6,7]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[5,3,4,1,2,7,6]=>[7,1,3,5,4,2,6]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[5,3,4,1,6,2,7]=>[3,5,4,6,1,2,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,3,4,1,6,7,2]=>[3,5,4,6,1,7,2]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,3,4,1,7,2,6]=>[3,5,4,1,7,2,6]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[5,3,4,1,7,6,2]=>[7,3,5,4,6,1,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[5,3,4,2,1,6,7]=>[3,5,4,2,1,6,7]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[5,3,4,2,1,7,6]=>[7,3,5,4,2,1,6]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[5,3,4,2,6,1,7]=>[3,5,4,2,6,1,7]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[5,3,4,2,6,7,1]=>[3,5,4,2,6,7,1]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[5,3,4,2,7,1,6]=>[3,5,4,2,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[5,3,4,2,7,6,1]=>[7,3,5,4,2,6,1]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[5,3,4,6,1,2,7]=>[1,3,5,4,6,2,7]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[5,3,4,6,1,7,2]=>[3,5,4,6,7,1,2]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,3,4,6,2,1,7]=>[3,5,4,6,2,1,7]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[5,3,4,6,2,7,1]=>[3,5,4,6,2,7,1]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[5,3,4,6,7,1,2]=>[1,3,5,4,6,7,2]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[5,3,4,6,7,2,1]=>[3,5,4,6,7,2,1]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[5,3,4,7,1,2,6]=>[1,3,5,4,2,7,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[5,3,4,7,1,6,2]=>[3,5,4,7,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[5,3,4,7,2,1,6]=>[3,5,4,2,7,1,6]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[5,3,4,7,2,6,1]=>[3,5,4,2,7,6,1]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[5,3,4,7,6,1,2]=>[1,7,3,5,4,6,2]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[5,3,4,7,6,2,1]=>[7,3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[5,3,6,1,2,4,7]=>[1,3,5,2,6,4,7]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[5,3,6,1,2,7,4]=>[5,1,6,3,7,2,4]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[5,3,6,1,4,2,7]=>[3,5,6,1,4,2,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,3,6,1,4,7,2]=>[3,5,6,1,4,7,2]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,3,6,1,7,2,4]=>[3,5,1,6,7,2,4]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[5,3,6,1,7,4,2]=>[5,6,3,7,4,1,2]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[5,3,6,2,1,4,7]=>[3,5,2,6,1,4,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[5,3,6,2,1,7,4]=>[5,6,3,7,2,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[5,3,6,2,4,1,7]=>[3,5,2,6,4,1,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[5,3,6,2,4,7,1]=>[3,5,2,6,4,7,1]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[5,3,6,2,7,1,4]=>[3,5,2,6,1,7,4]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[5,3,6,2,7,4,1]=>[5,6,3,7,2,4,1]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[5,3,6,4,1,2,7]=>[1,5,6,3,4,2,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[5,3,6,4,1,7,2]=>[5,6,3,4,7,1,2]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[5,3,6,4,2,1,7]=>[5,6,3,4,2,1,7]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[5,3,6,4,2,7,1]=>[5,6,3,4,2,7,1]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[5,3,6,4,7,1,2]=>[1,5,6,3,4,7,2]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[5,3,6,4,7,2,1]=>[5,6,3,4,7,2,1]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[5,3,6,7,1,2,4]=>[1,3,5,2,6,7,4]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[5,3,6,7,1,4,2]=>[3,5,6,1,7,4,2]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,3,6,7,2,1,4]=>[3,5,2,6,7,1,4]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[5,3,6,7,2,4,1]=>[3,5,2,6,7,4,1]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[5,3,6,7,4,1,2]=>[1,5,6,3,7,4,2]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[5,3,6,7,4,2,1]=>[5,6,3,7,4,2,1]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[5,3,7,1,2,4,6]=>[1,3,5,2,4,7,6]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[5,3,7,1,2,6,4]=>[5,1,7,3,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[5,3,7,1,4,2,6]=>[3,5,1,7,4,2,6]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[5,3,7,1,4,6,2]=>[3,5,4,1,7,6,2]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[5,3,7,1,6,2,4]=>[3,5,1,7,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[5,3,7,1,6,4,2]=>[5,7,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[5,3,7,2,1,4,6]=>[3,5,2,1,7,4,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[5,3,7,2,1,6,4]=>[5,7,3,2,6,1,4]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[5,3,7,2,4,1,6]=>[3,5,2,4,7,1,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[5,3,7,2,4,6,1]=>[3,5,2,4,7,6,1]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[5,3,7,2,6,1,4]=>[3,5,2,1,7,6,4]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[5,3,7,2,6,4,1]=>[5,7,3,2,6,4,1]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[5,3,7,4,1,2,6]=>[1,5,3,7,4,2,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[5,3,7,4,1,6,2]=>[5,3,7,4,6,1,2]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[5,3,7,4,2,1,6]=>[5,3,7,4,2,1,6]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[5,3,7,4,2,6,1]=>[5,3,7,4,2,6,1]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[5,3,7,4,6,1,2]=>[1,5,3,7,4,6,2]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[5,3,7,4,6,2,1]=>[5,3,7,4,6,2,1]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[5,3,7,6,1,2,4]=>[1,3,7,5,2,6,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[5,3,7,6,1,4,2]=>[3,7,5,6,1,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[5,3,7,6,2,1,4]=>[3,7,5,2,6,1,4]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[5,3,7,6,2,4,1]=>[3,7,5,2,6,4,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[5,3,7,6,4,1,2]=>[1,7,5,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[5,3,7,6,4,2,1]=>[7,5,6,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[5,4,1,2,3,6,7]=>[1,2,5,4,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[5,4,1,2,3,7,6]=>[7,1,2,5,4,3,6]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[5,4,1,2,6,3,7]=>[5,1,4,6,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,4,1,2,6,7,3]=>[5,1,4,6,2,7,3]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,4,1,2,7,3,6]=>[5,1,4,2,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[5,4,1,2,7,6,3]=>[7,5,1,4,6,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[5,4,1,3,2,6,7]=>[5,1,4,3,2,6,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[5,4,1,3,2,7,6]=>[7,5,1,4,3,2,6]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[5,4,1,3,6,2,7]=>[5,1,4,3,6,2,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[5,4,1,3,6,7,2]=>[5,1,4,3,6,7,2]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[5,4,1,3,7,2,6]=>[5,1,4,3,2,7,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,4,1,3,7,6,2]=>[7,5,1,4,3,6,2]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[5,4,1,6,2,3,7]=>[1,5,4,6,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,4,1,6,2,7,3]=>[5,4,6,7,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[5,4,1,6,3,2,7]=>[5,4,6,3,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,4,1,6,3,7,2]=>[5,4,6,3,1,7,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,4,1,6,7,2,3]=>[1,5,4,6,2,7,3]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,4,1,6,7,3,2]=>[5,4,6,7,1,3,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,4,1,7,2,3,6]=>[1,5,4,2,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[5,4,1,7,2,6,3]=>[5,4,7,1,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[5,4,1,7,3,2,6]=>[5,4,3,7,1,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,4,1,7,3,6,2]=>[5,4,7,1,3,6,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,4,1,7,6,2,3]=>[1,7,5,4,6,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[5,4,1,7,6,3,2]=>[7,5,4,6,3,1,2]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[5,4,2,1,3,6,7]=>[2,5,4,1,3,6,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,4,2,1,3,7,6]=>[7,2,5,4,1,3,6]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[5,4,2,1,6,3,7]=>[5,4,6,2,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[5,4,2,1,6,7,3]=>[5,4,6,2,1,7,3]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[5,4,2,1,7,3,6]=>[5,4,2,7,1,3,6]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[5,4,2,1,7,6,3]=>[7,5,4,6,2,1,3]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[5,4,2,3,1,6,7]=>[2,5,4,3,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[5,4,2,3,1,7,6]=>[7,2,5,4,3,1,6]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[5,4,2,3,6,1,7]=>[2,5,4,3,6,1,7]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[5,4,2,3,6,7,1]=>[2,5,4,3,6,7,1]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[5,4,2,3,7,1,6]=>[2,5,4,3,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[5,4,2,3,7,6,1]=>[7,2,5,4,3,6,1]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[5,4,2,6,1,3,7]=>[2,5,4,1,6,3,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,4,2,6,1,7,3]=>[5,4,6,2,7,1,3]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[5,4,2,6,3,1,7]=>[5,4,6,2,3,1,7]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[5,4,2,6,3,7,1]=>[5,4,6,2,3,7,1]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[5,4,2,6,7,1,3]=>[2,5,4,1,6,7,3]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,4,2,6,7,3,1]=>[5,4,6,2,7,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[5,4,2,7,1,3,6]=>[2,5,4,1,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[5,4,2,7,1,6,3]=>[5,4,7,2,1,6,3]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[5,4,2,7,3,1,6]=>[5,4,2,7,3,1,6]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[5,4,2,7,3,6,1]=>[5,4,2,7,3,6,1]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[5,4,2,7,6,1,3]=>[2,7,5,4,1,6,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[5,4,2,7,6,3,1]=>[7,5,4,6,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[5,4,3,1,2,6,7]=>[1,5,4,3,2,6,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[5,4,3,1,2,7,6]=>[7,1,5,4,3,2,6]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[5,4,3,1,6,2,7]=>[5,4,3,6,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,4,3,1,6,7,2]=>[5,4,3,6,1,7,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,4,3,1,7,2,6]=>[5,4,3,1,7,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,4,3,1,7,6,2]=>[7,5,4,3,6,1,2]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[5,4,3,2,1,7,6]=>[7,5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5],[7]]=>[5,2]
[5,4,3,2,6,1,7]=>[5,4,3,2,6,1,7]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[5,4,3,2,6,7,1]=>[5,4,3,2,6,7,1]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[5,4,3,2,7,1,6]=>[5,4,3,2,1,7,6]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[5,4,3,2,7,6,1]=>[7,5,4,3,2,6,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[5,2]
[5,4,3,6,1,2,7]=>[1,5,4,3,6,2,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[5,4,3,6,1,7,2]=>[5,4,3,6,7,1,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,4,3,6,2,1,7]=>[5,4,3,6,2,1,7]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[5,4,3,6,2,7,1]=>[5,4,3,6,2,7,1]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[5,4,3,6,7,1,2]=>[1,5,4,3,6,7,2]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[5,4,3,6,7,2,1]=>[5,4,3,6,7,2,1]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[5,4,3,7,1,2,6]=>[1,5,4,3,2,7,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,4,3,7,1,6,2]=>[5,4,3,7,1,6,2]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[5,4,3,7,2,1,6]=>[5,4,3,2,7,1,6]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[5,4,3,7,2,6,1]=>[5,4,3,2,7,6,1]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[5,4,3,7,6,1,2]=>[1,7,5,4,3,6,2]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[5,4,3,7,6,2,1]=>[7,5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[5,2]
[5,4,6,1,2,3,7]=>[1,2,5,4,6,3,7]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[5,4,6,1,2,7,3]=>[5,1,4,6,7,2,3]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,4,6,1,3,2,7]=>[5,1,4,6,3,2,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[5,4,6,1,3,7,2]=>[5,1,4,6,3,7,2]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[5,4,6,1,7,2,3]=>[1,5,4,6,7,2,3]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,4,6,1,7,3,2]=>[5,4,6,7,3,1,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,4,6,2,1,3,7]=>[2,5,4,6,1,3,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,4,6,2,1,7,3]=>[5,4,6,7,2,1,3]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[5,4,6,2,3,1,7]=>[2,5,4,6,3,1,7]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[5,4,6,2,3,7,1]=>[2,5,4,6,3,7,1]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[5,4,6,2,7,1,3]=>[2,5,4,6,1,7,3]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,4,6,2,7,3,1]=>[5,4,6,7,2,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[5,4,6,3,1,2,7]=>[1,5,4,6,3,2,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[5,4,6,3,1,7,2]=>[5,4,6,3,7,1,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,4,6,3,2,1,7]=>[5,4,6,3,2,1,7]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[5,4,6,3,2,7,1]=>[5,4,6,3,2,7,1]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[5,4,6,3,7,1,2]=>[1,5,4,6,3,7,2]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[5,4,6,3,7,2,1]=>[5,4,6,3,7,2,1]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[5,4,6,7,1,2,3]=>[1,2,5,4,6,7,3]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[5,4,6,7,1,3,2]=>[5,1,4,6,7,3,2]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[5,4,6,7,2,1,3]=>[2,5,4,6,7,1,3]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,4,6,7,2,3,1]=>[2,5,4,6,7,3,1]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[5,4,6,7,3,1,2]=>[1,5,4,6,7,3,2]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[5,4,6,7,3,2,1]=>[5,4,6,7,3,2,1]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[5,4,7,1,2,3,6]=>[1,2,5,4,3,7,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[5,4,7,1,2,6,3]=>[5,1,4,7,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[5,4,7,1,3,2,6]=>[5,1,4,3,7,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,4,7,1,3,6,2]=>[5,1,4,3,7,6,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,4,7,1,6,2,3]=>[1,5,4,7,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[5,4,7,1,6,3,2]=>[5,4,7,6,1,3,2]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[5,4,7,2,1,3,6]=>[2,5,4,1,7,3,6]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[5,4,7,2,1,6,3]=>[5,4,7,2,6,1,3]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[5,4,7,2,3,1,6]=>[2,5,4,3,7,1,6]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[5,4,7,2,3,6,1]=>[2,5,4,3,7,6,1]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[5,4,7,2,6,1,3]=>[2,5,4,1,7,6,3]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[5,4,7,2,6,3,1]=>[5,4,7,2,6,3,1]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[5,4,7,3,1,2,6]=>[1,5,4,3,7,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,4,7,3,1,6,2]=>[5,4,3,7,6,1,2]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[5,4,7,3,2,1,6]=>[5,4,3,7,2,1,6]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[5,4,7,3,2,6,1]=>[5,4,3,7,2,6,1]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[5,4,7,3,6,1,2]=>[1,5,4,3,7,6,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,4,7,3,6,2,1]=>[5,4,3,7,6,2,1]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[5,4,7,6,1,2,3]=>[1,2,7,5,4,6,3]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[5,4,7,6,1,3,2]=>[7,1,5,4,6,3,2]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[5,4,7,6,2,1,3]=>[2,7,5,4,6,1,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[5,4,7,6,2,3,1]=>[2,7,5,4,6,3,1]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[5,4,7,6,3,1,2]=>[1,7,5,4,6,3,2]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[5,4,7,6,3,2,1]=>[7,5,4,6,3,2,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[5,2]
[5,6,1,2,3,4,7]=>[1,2,3,5,6,4,7]=>[[1,2,3,4,6,7],[5]]=>[5,2]
[5,6,1,2,3,7,4]=>[5,1,2,6,7,3,4]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[5,6,1,2,4,3,7]=>[5,1,2,6,4,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,6,1,2,4,7,3]=>[5,1,2,6,4,7,3]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,6,1,2,7,3,4]=>[1,5,2,6,7,3,4]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[5,6,1,2,7,4,3]=>[5,6,1,7,4,2,3]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[5,6,1,3,2,4,7]=>[1,5,3,6,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[5,6,1,3,2,7,4]=>[5,6,1,7,3,2,4]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[5,6,1,3,4,2,7]=>[3,1,5,6,4,2,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,6,1,3,4,7,2]=>[3,1,5,6,4,7,2]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,6,1,3,7,2,4]=>[1,5,3,6,2,7,4]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[5,6,1,3,7,4,2]=>[5,6,1,7,3,4,2]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[5,6,1,4,2,3,7]=>[1,5,2,6,4,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,6,1,4,2,7,3]=>[5,6,1,4,7,2,3]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[5,6,1,4,3,2,7]=>[5,6,1,4,3,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,6,1,4,3,7,2]=>[5,6,1,4,3,7,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,6,1,4,7,2,3]=>[1,5,2,6,4,7,3]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,6,1,4,7,3,2]=>[5,6,1,4,7,3,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,6,1,7,2,3,4]=>[1,2,5,6,7,3,4]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[5,6,1,7,2,4,3]=>[5,1,6,7,4,2,3]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[5,6,1,7,3,2,4]=>[3,5,6,7,1,2,4]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[5,6,1,7,3,4,2]=>[5,1,6,7,3,4,2]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[5,6,1,7,4,2,3]=>[1,5,6,7,4,2,3]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,6,1,7,4,3,2]=>[5,6,7,4,3,1,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,6,2,1,3,4,7]=>[2,1,5,6,3,4,7]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[5,6,2,1,3,7,4]=>[5,2,6,7,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[5,6,2,1,4,3,7]=>[5,2,6,4,1,3,7]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[5,6,2,1,4,7,3]=>[5,2,6,4,1,7,3]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[5,6,2,1,7,3,4]=>[2,5,6,7,1,3,4]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[5,6,2,1,7,4,3]=>[5,6,7,4,2,1,3]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[5,6,2,3,1,4,7]=>[2,3,5,6,1,4,7]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[5,6,2,3,1,7,4]=>[5,2,6,7,3,1,4]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[5,6,2,3,4,1,7]=>[2,3,5,6,4,1,7]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[5,6,2,3,4,7,1]=>[2,3,5,6,4,7,1]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[5,6,2,3,7,1,4]=>[2,3,5,6,1,7,4]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[5,6,2,3,7,4,1]=>[5,2,6,7,3,4,1]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[5,6,2,4,1,3,7]=>[2,1,5,6,4,3,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,6,2,4,1,7,3]=>[5,2,6,4,7,1,3]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[5,6,2,4,3,1,7]=>[5,2,6,4,3,1,7]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[5,6,2,4,3,7,1]=>[5,2,6,4,3,7,1]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[5,6,2,4,7,1,3]=>[2,1,5,6,4,7,3]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,6,2,4,7,3,1]=>[5,2,6,4,7,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[5,6,2,7,1,3,4]=>[2,1,5,6,3,7,4]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[5,6,2,7,1,4,3]=>[5,2,6,7,1,4,3]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[5,6,2,7,3,1,4]=>[2,5,6,7,3,1,4]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[5,6,2,7,3,4,1]=>[2,5,6,7,3,4,1]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[5,6,2,7,4,1,3]=>[2,5,6,7,1,4,3]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,6,2,7,4,3,1]=>[5,6,7,4,2,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[5,6,3,1,2,4,7]=>[1,3,5,6,2,4,7]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[5,6,3,1,2,7,4]=>[5,1,6,7,3,2,4]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[5,6,3,1,4,2,7]=>[3,5,6,4,1,2,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,6,3,1,4,7,2]=>[3,5,6,4,1,7,2]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,6,3,1,7,2,4]=>[3,5,6,1,7,2,4]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[5,6,3,1,7,4,2]=>[5,6,7,3,4,1,2]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[5,6,3,2,1,4,7]=>[3,5,6,2,1,4,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[5,6,3,2,1,7,4]=>[5,6,7,3,2,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[5,6,3,2,4,1,7]=>[3,5,6,2,4,1,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[5,6,3,2,4,7,1]=>[3,5,6,2,4,7,1]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[5,6,3,2,7,1,4]=>[3,5,6,2,1,7,4]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[5,6,3,2,7,4,1]=>[5,6,7,3,2,4,1]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[5,6,3,4,1,2,7]=>[1,3,5,6,4,2,7]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[5,6,3,4,1,7,2]=>[3,5,6,4,7,1,2]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,6,3,4,2,1,7]=>[3,5,6,4,2,1,7]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[5,6,3,4,2,7,1]=>[3,5,6,4,2,7,1]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[5,6,3,4,7,1,2]=>[1,3,5,6,4,7,2]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[5,6,3,4,7,2,1]=>[3,5,6,4,7,2,1]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[5,6,3,7,1,2,4]=>[1,3,5,6,2,7,4]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[5,6,3,7,1,4,2]=>[3,5,6,7,1,4,2]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,6,3,7,2,1,4]=>[3,5,6,2,7,1,4]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[5,6,3,7,2,4,1]=>[3,5,6,2,7,4,1]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[5,6,3,7,4,1,2]=>[1,5,6,7,3,4,2]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[5,6,3,7,4,2,1]=>[5,6,7,3,4,2,1]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[5,6,4,1,2,3,7]=>[1,2,5,6,4,3,7]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[5,6,4,1,2,7,3]=>[5,1,6,4,7,2,3]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[5,6,4,1,3,2,7]=>[5,1,6,4,3,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,6,4,1,3,7,2]=>[5,1,6,4,3,7,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,6,4,1,7,2,3]=>[1,5,6,4,7,2,3]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,6,4,1,7,3,2]=>[5,6,4,7,3,1,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,6,4,2,1,3,7]=>[2,5,6,4,1,3,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,6,4,2,1,7,3]=>[5,6,4,7,2,1,3]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[5,6,4,2,3,1,7]=>[2,5,6,4,3,1,7]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[5,6,4,2,3,7,1]=>[2,5,6,4,3,7,1]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[5,6,4,2,7,1,3]=>[2,5,6,4,1,7,3]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,6,4,2,7,3,1]=>[5,6,4,7,2,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[5,6,4,3,1,2,7]=>[1,5,6,4,3,2,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[5,6,4,3,1,7,2]=>[5,6,4,3,7,1,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,6,4,3,2,1,7]=>[5,6,4,3,2,1,7]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[5,6,4,3,2,7,1]=>[5,6,4,3,2,7,1]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[5,6,4,3,7,1,2]=>[1,5,6,4,3,7,2]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[5,6,4,3,7,2,1]=>[5,6,4,3,7,2,1]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[5,6,4,7,1,2,3]=>[1,2,5,6,4,7,3]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[5,6,4,7,1,3,2]=>[5,1,6,4,7,3,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,6,4,7,2,1,3]=>[2,5,6,4,7,1,3]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,6,4,7,2,3,1]=>[2,5,6,4,7,3,1]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[5,6,4,7,3,1,2]=>[1,5,6,4,7,3,2]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[5,6,4,7,3,2,1]=>[5,6,4,7,3,2,1]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[5,6,7,1,2,3,4]=>[1,2,3,5,6,7,4]=>[[1,2,3,4,6,7],[5]]=>[5,2]
[5,6,7,1,2,4,3]=>[5,1,2,6,7,4,3]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,6,7,1,3,2,4]=>[1,5,3,6,7,2,4]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[5,6,7,1,3,4,2]=>[3,1,5,6,7,4,2]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,6,7,1,4,2,3]=>[1,5,2,6,7,4,3]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,6,7,1,4,3,2]=>[5,6,1,7,4,3,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,6,7,2,1,3,4]=>[2,1,5,6,7,3,4]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[5,6,7,2,1,4,3]=>[5,2,6,7,4,1,3]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[5,6,7,2,3,1,4]=>[2,3,5,6,7,1,4]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[5,6,7,2,3,4,1]=>[2,3,5,6,7,4,1]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[5,6,7,2,4,1,3]=>[2,1,5,6,7,4,3]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,6,7,2,4,3,1]=>[5,2,6,7,4,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[5,6,7,3,1,2,4]=>[1,3,5,6,7,2,4]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[5,6,7,3,1,4,2]=>[3,5,6,7,4,1,2]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,6,7,3,2,1,4]=>[3,5,6,7,2,1,4]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[5,6,7,3,2,4,1]=>[3,5,6,7,2,4,1]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[5,6,7,3,4,1,2]=>[1,3,5,6,7,4,2]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[5,6,7,3,4,2,1]=>[3,5,6,7,4,2,1]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[5,6,7,4,1,2,3]=>[1,2,5,6,7,4,3]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[5,6,7,4,1,3,2]=>[5,1,6,7,4,3,2]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,6,7,4,2,1,3]=>[2,5,6,7,4,1,3]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,6,7,4,2,3,1]=>[2,5,6,7,4,3,1]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[5,6,7,4,3,1,2]=>[1,5,6,7,4,3,2]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[5,6,7,4,3,2,1]=>[5,6,7,4,3,2,1]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[5,7,1,2,3,4,6]=>[1,2,3,5,4,7,6]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[5,7,1,2,3,6,4]=>[5,1,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[5,7,1,2,4,3,6]=>[5,1,2,4,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[5,7,1,2,4,6,3]=>[5,1,2,4,7,6,3]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[5,7,1,2,6,3,4]=>[1,5,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[5,7,1,2,6,4,3]=>[5,7,1,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[5,7,1,3,2,4,6]=>[1,5,3,2,7,4,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[5,7,1,3,2,6,4]=>[5,7,1,3,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[5,7,1,3,4,2,6]=>[3,1,5,4,7,2,6]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[5,7,1,3,4,6,2]=>[3,1,5,4,7,6,2]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[5,7,1,3,6,2,4]=>[1,5,3,2,7,6,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[5,7,1,3,6,4,2]=>[5,7,1,3,6,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[5,7,1,4,2,3,6]=>[1,5,2,4,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[5,7,1,4,2,6,3]=>[5,4,1,7,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[5,7,1,4,3,2,6]=>[5,1,7,4,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,7,1,4,3,6,2]=>[5,4,1,7,3,6,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,7,1,4,6,2,3]=>[1,5,2,4,7,6,3]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[5,7,1,4,6,3,2]=>[5,4,1,7,6,3,2]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[5,7,1,6,2,3,4]=>[1,2,5,7,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[5,7,1,6,2,4,3]=>[5,1,7,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[5,7,1,6,3,2,4]=>[1,5,7,6,3,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[5,7,1,6,3,4,2]=>[5,1,7,3,6,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[5,7,1,6,4,2,3]=>[1,5,7,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[5,7,1,6,4,3,2]=>[5,7,6,4,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[5,7,2,1,3,4,6]=>[2,1,5,3,7,4,6]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[5,7,2,1,3,6,4]=>[5,2,7,1,6,3,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[5,7,2,1,4,3,6]=>[5,2,4,7,1,3,6]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[5,7,2,1,4,6,3]=>[5,2,7,1,4,6,3]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[5,7,2,1,6,3,4]=>[2,5,7,1,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[5,7,2,1,6,4,3]=>[5,7,6,2,4,1,3]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[5,7,2,3,1,4,6]=>[2,3,5,1,7,4,6]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[5,7,2,3,1,6,4]=>[5,2,7,3,6,1,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[5,7,2,3,4,1,6]=>[2,3,5,4,7,1,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[5,7,2,3,4,6,1]=>[2,3,5,4,7,6,1]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[5,7,2,3,6,1,4]=>[2,3,5,1,7,6,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[5,7,2,3,6,4,1]=>[5,2,7,3,6,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[5,7,2,4,1,3,6]=>[2,1,5,4,7,3,6]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[5,7,2,4,1,6,3]=>[5,2,4,7,6,1,3]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[5,7,2,4,3,1,6]=>[5,2,4,7,3,1,6]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[5,7,2,4,3,6,1]=>[5,2,4,7,3,6,1]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[5,7,2,4,6,1,3]=>[2,1,5,4,7,6,3]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[5,7,2,4,6,3,1]=>[5,2,4,7,6,3,1]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[5,7,2,6,1,3,4]=>[2,1,5,3,7,6,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[5,7,2,6,1,4,3]=>[5,2,7,1,6,4,3]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[5,7,2,6,3,1,4]=>[2,5,7,3,6,1,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[5,7,2,6,3,4,1]=>[2,5,7,3,6,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[5,7,2,6,4,1,3]=>[2,5,7,1,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[5,7,2,6,4,3,1]=>[5,7,6,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[5,7,3,1,2,4,6]=>[1,3,5,2,7,4,6]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[5,7,3,1,2,6,4]=>[5,1,7,3,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[5,7,3,1,4,2,6]=>[3,5,4,7,1,2,6]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[5,7,3,1,4,6,2]=>[3,5,7,1,4,6,2]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[5,7,3,1,6,2,4]=>[3,5,1,7,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[5,7,3,1,6,4,2]=>[5,7,3,6,4,1,2]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[5,7,3,2,1,4,6]=>[3,5,2,7,1,4,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[5,7,3,2,1,6,4]=>[5,7,3,6,2,1,4]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[5,7,3,2,4,1,6]=>[3,5,2,7,4,1,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[5,7,3,2,4,6,1]=>[3,5,2,7,4,6,1]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[5,7,3,2,6,1,4]=>[3,5,2,7,1,6,4]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[5,7,3,2,6,4,1]=>[5,7,3,6,2,4,1]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[5,7,3,4,1,2,6]=>[1,3,5,4,7,2,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[5,7,3,4,1,6,2]=>[3,5,4,7,6,1,2]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[5,7,3,4,2,1,6]=>[3,5,4,7,2,1,6]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[5,7,3,4,2,6,1]=>[3,5,4,7,2,6,1]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[5,7,3,4,6,1,2]=>[1,3,5,4,7,6,2]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[5,7,3,4,6,2,1]=>[3,5,4,7,6,2,1]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[5,7,3,6,1,2,4]=>[1,3,5,2,7,6,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[5,7,3,6,1,4,2]=>[3,5,7,1,6,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[5,7,3,6,2,1,4]=>[3,5,2,7,6,1,4]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[5,7,3,6,2,4,1]=>[3,5,2,7,6,4,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[5,7,3,6,4,1,2]=>[1,5,7,3,6,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[5,7,3,6,4,2,1]=>[5,7,3,6,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[5,7,4,1,2,3,6]=>[1,2,5,4,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[5,7,4,1,2,6,3]=>[5,1,4,7,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[5,7,4,1,3,2,6]=>[5,1,4,7,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,7,4,1,3,6,2]=>[5,1,4,7,3,6,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,7,4,1,6,2,3]=>[1,5,4,7,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[5,7,4,1,6,3,2]=>[5,4,7,6,3,1,2]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[5,7,4,2,1,3,6]=>[2,5,4,7,1,3,6]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[5,7,4,2,1,6,3]=>[5,4,7,6,2,1,3]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[5,7,4,2,3,1,6]=>[2,5,4,7,3,1,6]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[5,7,4,2,3,6,1]=>[2,5,4,7,3,6,1]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[5,7,4,2,6,1,3]=>[2,5,4,7,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[5,7,4,2,6,3,1]=>[5,4,7,6,2,3,1]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[5,7,4,3,1,2,6]=>[1,5,4,7,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,7,4,3,1,6,2]=>[5,4,7,3,6,1,2]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[5,7,4,3,2,1,6]=>[5,4,7,3,2,1,6]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[5,7,4,3,2,6,1]=>[5,4,7,3,2,6,1]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[5,7,4,3,6,1,2]=>[1,5,4,7,3,6,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,7,4,3,6,2,1]=>[5,4,7,3,6,2,1]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[5,7,4,6,1,2,3]=>[1,2,5,4,7,6,3]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[5,7,4,6,1,3,2]=>[5,1,4,7,6,3,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,7,4,6,2,1,3]=>[2,5,4,7,6,1,3]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[5,7,4,6,2,3,1]=>[2,5,4,7,6,3,1]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[5,7,4,6,3,1,2]=>[1,5,4,7,6,3,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,7,4,6,3,2,1]=>[5,4,7,6,3,2,1]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[5,7,6,1,2,3,4]=>[1,2,3,7,5,6,4]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[5,7,6,1,2,4,3]=>[7,1,2,5,6,4,3]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[5,7,6,1,3,2,4]=>[1,7,3,5,6,2,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[5,7,6,1,3,4,2]=>[3,1,7,5,6,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[5,7,6,1,4,2,3]=>[1,7,2,5,6,4,3]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[5,7,6,1,4,3,2]=>[7,5,1,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[5,7,6,2,1,3,4]=>[2,1,7,5,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[5,7,6,2,1,4,3]=>[7,2,5,6,4,1,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[5,7,6,2,3,1,4]=>[2,3,7,5,6,1,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[5,7,6,2,3,4,1]=>[2,3,7,5,6,4,1]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[5,7,6,2,4,1,3]=>[2,1,7,5,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[5,7,6,2,4,3,1]=>[7,2,5,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[5,7,6,3,1,2,4]=>[1,3,7,5,6,2,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[5,7,6,3,1,4,2]=>[3,7,5,6,4,1,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[5,7,6,3,2,1,4]=>[3,7,5,6,2,1,4]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[5,7,6,3,2,4,1]=>[3,7,5,6,2,4,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[5,7,6,3,4,1,2]=>[1,3,7,5,6,4,2]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[5,7,6,3,4,2,1]=>[3,7,5,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[5,7,6,4,1,2,3]=>[1,2,7,5,6,4,3]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[5,7,6,4,1,3,2]=>[7,1,5,6,4,3,2]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[5,7,6,4,2,1,3]=>[2,7,5,6,4,1,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[5,7,6,4,2,3,1]=>[2,7,5,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[5,7,6,4,3,1,2]=>[1,7,5,6,4,3,2]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[5,7,6,4,3,2,1]=>[7,5,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[5,2]
[6,1,2,3,4,5,7]=>[1,2,3,4,6,5,7]=>[[1,2,3,4,5,7],[6]]=>[6,1]
[6,1,2,3,4,7,5]=>[6,1,2,3,7,4,5]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[6,1,2,3,5,4,7]=>[6,1,2,3,5,4,7]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[6,1,2,3,5,7,4]=>[6,1,2,3,5,7,4]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[6,1,2,3,7,4,5]=>[1,6,2,3,7,4,5]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[6,1,2,3,7,5,4]=>[6,7,1,2,5,3,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,1,2,4,3,5,7]=>[1,6,2,4,3,5,7]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[6,1,2,4,3,7,5]=>[6,7,1,2,4,3,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,1,2,4,5,3,7]=>[4,1,2,6,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,1,2,4,5,7,3]=>[4,1,2,6,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,1,2,4,7,3,5]=>[1,6,2,4,3,7,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,1,2,4,7,5,3]=>[6,7,1,2,4,5,3]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,1,2,5,3,4,7]=>[1,6,2,3,5,4,7]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[6,1,2,5,3,7,4]=>[6,5,1,2,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,1,2,5,4,3,7]=>[6,5,1,2,4,3,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[6,1,2,5,4,7,3]=>[6,5,1,2,4,7,3]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[6,1,2,5,7,3,4]=>[1,6,2,3,5,7,4]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[6,1,2,5,7,4,3]=>[6,5,1,2,7,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,1,2,7,3,4,5]=>[1,2,6,3,7,4,5]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[6,1,2,7,3,5,4]=>[6,1,7,2,5,3,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,1,2,7,4,3,5]=>[1,6,7,4,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,1,2,7,4,5,3]=>[6,1,7,2,4,5,3]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,1,2,7,5,3,4]=>[1,6,7,2,5,3,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,1,2,7,5,4,3]=>[6,7,5,1,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,1,3,2,4,5,7]=>[1,3,6,2,4,5,7]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[6,1,3,2,4,7,5]=>[6,1,7,3,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[6,1,3,2,5,4,7]=>[6,1,5,3,2,4,7]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[6,1,3,2,5,7,4]=>[6,1,5,3,2,7,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,1,3,2,7,4,5]=>[1,6,7,3,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[6,1,3,2,7,5,4]=>[6,7,5,1,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,1,3,4,2,5,7]=>[3,1,4,6,2,5,7]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[6,1,3,4,2,7,5]=>[6,3,1,7,4,2,5]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[6,1,3,4,5,2,7]=>[3,1,4,6,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[6,1,3,4,5,7,2]=>[3,1,4,6,5,7,2]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[6,1,3,4,7,2,5]=>[3,1,4,6,2,7,5]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[6,1,3,4,7,5,2]=>[6,3,1,7,4,5,2]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[6,1,3,5,2,4,7]=>[3,1,2,6,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,1,3,5,2,7,4]=>[6,3,1,5,7,2,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[6,1,3,5,4,2,7]=>[6,3,1,5,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,1,3,5,4,7,2]=>[6,3,1,5,4,7,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,1,3,5,7,2,4]=>[3,1,2,6,5,7,4]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,1,3,5,7,4,2]=>[6,3,1,5,7,4,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,1,3,7,2,4,5]=>[1,3,6,2,4,7,5]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[6,1,3,7,2,5,4]=>[6,1,7,3,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[6,1,3,7,4,2,5]=>[1,6,7,3,4,2,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[6,1,3,7,4,5,2]=>[6,1,3,7,4,5,2]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[6,1,3,7,5,2,4]=>[1,6,7,3,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[6,1,3,7,5,4,2]=>[6,7,5,1,3,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,1,4,2,3,5,7]=>[1,2,6,4,3,5,7]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[6,1,4,2,3,7,5]=>[6,1,7,2,4,3,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,1,4,2,5,3,7]=>[6,1,4,5,2,3,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,1,4,2,5,7,3]=>[6,1,4,5,2,7,3]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,1,4,2,7,3,5]=>[4,6,1,2,7,3,5]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[6,1,4,2,7,5,3]=>[6,7,4,1,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[6,1,4,3,2,5,7]=>[4,6,1,3,2,5,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[6,1,4,3,2,7,5]=>[6,7,4,1,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[6,1,4,3,5,2,7]=>[6,1,4,3,5,2,7]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[6,1,4,3,5,7,2]=>[6,1,4,3,5,7,2]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[6,1,4,3,7,2,5]=>[4,6,1,3,2,7,5]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[6,1,4,3,7,5,2]=>[6,7,4,1,3,5,2]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[6,1,4,5,2,3,7]=>[1,4,2,6,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,1,4,5,2,7,3]=>[4,6,1,5,7,2,3]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[6,1,4,5,3,2,7]=>[4,6,1,5,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[6,1,4,5,3,7,2]=>[4,6,1,5,3,7,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[6,1,4,5,7,2,3]=>[1,4,2,6,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,1,4,5,7,3,2]=>[4,6,1,5,7,3,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[6,1,4,7,2,3,5]=>[1,2,6,4,3,7,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,1,4,7,2,5,3]=>[6,1,4,7,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[6,1,4,7,3,2,5]=>[4,6,1,3,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[6,1,4,7,3,5,2]=>[6,1,4,3,7,5,2]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[6,1,4,7,5,2,3]=>[1,6,7,2,4,5,3]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,1,4,7,5,3,2]=>[6,7,4,1,5,3,2]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[6,1,5,2,3,4,7]=>[1,2,6,3,5,4,7]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[6,1,5,2,3,7,4]=>[6,1,5,2,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,1,5,2,4,3,7]=>[6,1,5,2,4,3,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[6,1,5,2,4,7,3]=>[6,1,5,2,4,7,3]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[6,1,5,2,7,3,4]=>[1,6,5,2,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,1,5,2,7,4,3]=>[6,5,7,1,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,1,5,3,2,4,7]=>[1,6,5,3,2,4,7]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[6,1,5,3,2,7,4]=>[6,5,7,1,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,1,5,3,4,2,7]=>[6,1,3,5,4,2,7]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[6,1,5,3,4,7,2]=>[6,1,3,5,4,7,2]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[6,1,5,3,7,2,4]=>[1,6,5,3,2,7,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,1,5,3,7,4,2]=>[6,5,7,1,3,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,1,5,4,2,3,7]=>[1,6,5,2,4,3,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[6,1,5,4,2,7,3]=>[6,5,4,1,7,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,1,5,4,3,2,7]=>[6,5,4,1,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[6,1,5,4,3,7,2]=>[6,5,4,1,3,7,2]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[6,1,5,4,7,2,3]=>[1,6,5,2,4,7,3]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[6,1,5,4,7,3,2]=>[6,5,4,1,7,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[6,1,5,7,2,3,4]=>[1,2,6,3,5,7,4]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[6,1,5,7,2,4,3]=>[6,1,5,2,7,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,1,5,7,3,2,4]=>[1,6,5,3,7,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,1,5,7,3,4,2]=>[6,1,3,5,7,4,2]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[6,1,5,7,4,2,3]=>[1,6,5,2,7,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,1,5,7,4,3,2]=>[6,5,7,1,4,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[6,1,7,2,3,4,5]=>[1,2,3,6,7,4,5]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[6,1,7,2,3,5,4]=>[6,1,2,7,5,3,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,1,7,2,4,3,5]=>[1,6,4,7,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,1,7,2,4,5,3]=>[6,1,2,7,4,5,3]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,1,7,2,5,3,4]=>[1,6,2,7,5,3,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,1,7,2,5,4,3]=>[6,7,1,5,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,1,7,3,2,4,5]=>[3,1,6,7,2,4,5]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[6,1,7,3,2,5,4]=>[6,3,7,5,1,2,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[6,1,7,3,4,2,5]=>[1,6,3,7,4,2,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[6,1,7,3,4,5,2]=>[3,1,6,7,4,5,2]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[6,1,7,3,5,2,4]=>[1,6,3,7,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[6,1,7,3,5,4,2]=>[6,7,1,5,3,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,1,7,4,2,3,5]=>[1,4,6,7,2,3,5]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[6,1,7,4,2,5,3]=>[4,6,7,5,1,2,3]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[6,1,7,4,3,2,5]=>[4,6,7,3,1,2,5]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[6,1,7,4,3,5,2]=>[4,6,7,3,1,5,2]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[6,1,7,4,5,2,3]=>[1,6,2,7,4,5,3]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,1,7,4,5,3,2]=>[6,7,1,4,5,3,2]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[6,1,7,5,2,3,4]=>[1,2,6,7,5,3,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,1,7,5,2,4,3]=>[6,1,7,5,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,1,7,5,3,2,4]=>[3,6,7,5,1,2,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[6,1,7,5,3,4,2]=>[6,1,7,5,3,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,1,7,5,4,2,3]=>[1,6,7,5,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,1,7,5,4,3,2]=>[6,7,5,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[6,2,1,3,4,5,7]=>[2,1,3,6,4,5,7]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[6,2,1,3,4,7,5]=>[6,2,1,7,3,4,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[6,2,1,3,5,4,7]=>[6,2,1,5,3,4,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,2,1,3,5,7,4]=>[6,2,1,5,3,7,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[6,2,1,3,7,4,5]=>[2,6,1,7,3,4,5]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[6,2,1,3,7,5,4]=>[6,7,2,5,1,3,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[6,2,1,4,3,5,7]=>[2,6,4,1,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[6,2,1,4,3,7,5]=>[6,7,2,4,1,3,5]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[6,2,1,4,5,3,7]=>[6,2,1,4,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[6,2,1,4,5,7,3]=>[6,2,1,4,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[6,2,1,4,7,3,5]=>[2,6,4,1,3,7,5]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[6,2,1,4,7,5,3]=>[6,7,2,4,1,5,3]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[6,2,1,5,3,4,7]=>[2,6,1,5,3,4,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,2,1,5,3,7,4]=>[6,5,2,7,1,3,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[6,2,1,5,4,3,7]=>[6,5,2,4,1,3,7]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,2,1,5,4,7,3]=>[6,5,2,4,1,7,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,2,1,5,7,3,4]=>[2,6,1,5,3,7,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[6,2,1,5,7,4,3]=>[6,5,2,7,1,4,3]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[6,2,1,7,3,4,5]=>[2,1,6,7,3,4,5]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[6,2,1,7,3,5,4]=>[6,2,7,5,1,3,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[6,2,1,7,4,3,5]=>[4,6,7,2,1,3,5]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[6,2,1,7,4,5,3]=>[6,2,7,4,1,5,3]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[6,2,1,7,5,3,4]=>[2,6,7,5,1,3,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[6,2,1,7,5,4,3]=>[6,7,5,4,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[6,2,3,1,4,5,7]=>[2,3,1,6,4,5,7]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[6,2,3,1,4,7,5]=>[6,2,3,7,1,4,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[6,2,3,1,5,4,7]=>[6,2,3,5,1,4,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,2,3,1,5,7,4]=>[6,2,3,5,1,7,4]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,2,3,1,7,4,5]=>[2,6,3,7,1,4,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[6,2,3,1,7,5,4]=>[6,7,2,5,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[6,2,3,4,1,5,7]=>[2,3,4,6,1,5,7]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[6,2,3,4,1,7,5]=>[6,2,3,7,4,1,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[6,2,3,4,5,1,7]=>[2,3,4,6,5,1,7]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[6,2,3,4,5,7,1]=>[2,3,4,6,5,7,1]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[6,2,3,4,7,1,5]=>[2,3,4,6,1,7,5]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[6,2,3,4,7,5,1]=>[6,2,3,7,4,5,1]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[6,2,3,5,1,4,7]=>[2,3,1,6,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,2,3,5,1,7,4]=>[6,2,3,5,7,1,4]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,2,3,5,4,1,7]=>[6,2,3,5,4,1,7]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[6,2,3,5,4,7,1]=>[6,2,3,5,4,7,1]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[6,2,3,5,7,1,4]=>[2,3,1,6,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,2,3,5,7,4,1]=>[6,2,3,5,7,4,1]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[6,2,3,7,1,4,5]=>[2,3,1,6,4,7,5]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[6,2,3,7,1,5,4]=>[6,2,3,7,1,5,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[6,2,3,7,4,1,5]=>[2,6,3,7,4,1,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[6,2,3,7,4,5,1]=>[2,6,3,7,4,5,1]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[6,2,3,7,5,1,4]=>[2,6,3,7,1,5,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[6,2,3,7,5,4,1]=>[6,7,2,5,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[6,2,4,1,3,5,7]=>[2,1,4,6,3,5,7]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[6,2,4,1,3,7,5]=>[6,2,1,7,4,3,5]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[6,2,4,1,5,3,7]=>[4,2,6,5,1,3,7]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[6,2,4,1,5,7,3]=>[4,2,6,5,1,7,3]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[6,2,4,1,7,3,5]=>[2,6,4,1,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[6,2,4,1,7,5,3]=>[6,7,2,4,5,1,3]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[6,2,4,3,1,5,7]=>[2,6,4,3,1,5,7]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[6,2,4,3,1,7,5]=>[6,7,2,4,3,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[6,2,4,3,5,1,7]=>[2,6,4,3,5,1,7]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[6,2,4,3,5,7,1]=>[2,6,4,3,5,7,1]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[6,2,4,3,7,1,5]=>[2,6,4,3,1,7,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[6,2,4,3,7,5,1]=>[6,7,2,4,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[6,2,4,5,1,3,7]=>[2,1,4,6,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[6,2,4,5,1,7,3]=>[4,2,6,5,7,1,3]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[6,2,4,5,3,1,7]=>[4,2,6,5,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[6,2,4,5,3,7,1]=>[4,2,6,5,3,7,1]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[6,2,4,5,7,1,3]=>[2,1,4,6,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[6,2,4,5,7,3,1]=>[4,2,6,5,7,3,1]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[6,2,4,7,1,3,5]=>[2,1,4,6,3,7,5]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[6,2,4,7,1,5,3]=>[4,2,6,7,1,5,3]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[6,2,4,7,3,1,5]=>[2,6,4,3,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[6,2,4,7,3,5,1]=>[2,6,4,3,7,5,1]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[6,2,4,7,5,1,3]=>[2,6,1,7,4,5,3]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[6,2,4,7,5,3,1]=>[6,7,2,4,5,3,1]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[6,2,5,1,3,4,7]=>[2,1,3,6,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,2,5,1,3,7,4]=>[6,2,1,5,7,3,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[6,2,5,1,4,3,7]=>[6,2,1,5,4,3,7]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,2,5,1,4,7,3]=>[6,2,1,5,4,7,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,2,5,1,7,3,4]=>[2,6,1,5,7,3,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[6,2,5,1,7,4,3]=>[6,5,2,7,4,1,3]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[6,2,5,3,1,4,7]=>[2,6,3,5,1,4,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,2,5,3,1,7,4]=>[6,5,2,7,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[6,2,5,3,4,1,7]=>[2,6,3,5,4,1,7]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[6,2,5,3,4,7,1]=>[2,6,3,5,4,7,1]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[6,2,5,3,7,1,4]=>[2,6,3,5,1,7,4]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,2,5,3,7,4,1]=>[6,5,2,7,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[6,2,5,4,1,3,7]=>[2,6,1,5,4,3,7]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,2,5,4,1,7,3]=>[6,5,2,4,7,1,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,2,5,4,3,1,7]=>[6,5,2,4,3,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[6,2,5,4,3,7,1]=>[6,5,2,4,3,7,1]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[6,2,5,4,7,1,3]=>[2,6,1,5,4,7,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,2,5,4,7,3,1]=>[6,5,2,4,7,3,1]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[6,2,5,7,1,3,4]=>[2,1,3,6,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,2,5,7,1,4,3]=>[6,2,1,5,7,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,2,5,7,3,1,4]=>[2,6,3,5,7,1,4]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,2,5,7,3,4,1]=>[2,6,3,5,7,4,1]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[6,2,5,7,4,1,3]=>[2,6,1,5,7,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,2,5,7,4,3,1]=>[6,5,2,7,4,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[6,2,7,1,3,4,5]=>[2,1,3,6,4,7,5]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[6,2,7,1,3,5,4]=>[6,2,1,7,3,5,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[6,2,7,1,4,3,5]=>[2,6,1,7,4,3,5]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[6,2,7,1,4,5,3]=>[6,2,1,4,7,5,3]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[6,2,7,1,5,3,4]=>[2,6,1,7,3,5,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[6,2,7,1,5,4,3]=>[6,7,2,5,1,4,3]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[6,2,7,3,1,4,5]=>[2,3,6,7,1,4,5]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[6,2,7,3,1,5,4]=>[6,2,7,5,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[6,2,7,3,4,1,5]=>[2,3,6,7,4,1,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[6,2,7,3,4,5,1]=>[2,3,6,7,4,5,1]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[6,2,7,3,5,1,4]=>[2,3,6,7,1,5,4]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,2,7,3,5,4,1]=>[6,2,7,5,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[6,2,7,4,1,3,5]=>[2,1,6,7,4,3,5]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[6,2,7,4,1,5,3]=>[6,2,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[6,2,7,4,3,1,5]=>[4,6,7,2,3,1,5]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[6,2,7,4,3,5,1]=>[4,6,7,2,3,5,1]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[6,2,7,4,5,1,3]=>[2,1,6,7,4,5,3]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[6,2,7,4,5,3,1]=>[6,2,7,4,5,3,1]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[6,2,7,5,1,3,4]=>[2,1,6,7,3,5,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[6,2,7,5,1,4,3]=>[6,2,7,5,1,4,3]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[6,2,7,5,3,1,4]=>[2,6,7,5,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[6,2,7,5,3,4,1]=>[2,6,7,5,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[6,2,7,5,4,1,3]=>[2,6,7,5,1,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,2,7,5,4,3,1]=>[6,7,5,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[6,3,1,2,4,5,7]=>[1,3,2,6,4,5,7]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[6,3,1,2,4,7,5]=>[6,1,3,7,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[6,3,1,2,5,4,7]=>[6,1,3,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,3,1,2,5,7,4]=>[6,1,3,5,2,7,4]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,3,1,2,7,4,5]=>[1,6,3,7,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[6,3,1,2,7,5,4]=>[6,7,1,5,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,3,1,4,2,5,7]=>[3,4,6,1,2,5,7]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[6,3,1,4,2,7,5]=>[6,3,7,4,1,2,5]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[6,3,1,4,5,2,7]=>[3,6,1,4,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[6,3,1,4,5,7,2]=>[3,6,1,4,5,7,2]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[6,3,1,4,7,2,5]=>[3,4,6,1,2,7,5]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[6,3,1,4,7,5,2]=>[6,3,7,4,1,5,2]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[6,3,1,5,2,4,7]=>[3,1,6,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,3,1,5,2,7,4]=>[6,3,5,7,1,2,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[6,3,1,5,4,2,7]=>[6,3,5,4,1,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,3,1,5,4,7,2]=>[6,3,5,4,1,7,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,3,1,5,7,2,4]=>[3,1,6,5,2,7,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[6,3,1,5,7,4,2]=>[6,3,5,7,1,4,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,3,1,7,2,4,5]=>[3,1,6,2,7,4,5]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[6,3,1,7,2,5,4]=>[6,3,7,1,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[6,3,1,7,4,2,5]=>[3,6,7,4,1,2,5]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[6,3,1,7,4,5,2]=>[3,6,7,4,1,5,2]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[6,3,1,7,5,2,4]=>[3,6,7,1,5,2,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[6,3,1,7,5,4,2]=>[6,7,5,3,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[6,3,2,1,4,5,7]=>[3,2,6,1,4,5,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[6,3,2,1,4,7,5]=>[6,3,7,2,1,4,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[6,3,2,1,5,4,7]=>[6,3,5,2,1,4,7]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[6,3,2,1,5,7,4]=>[6,3,5,2,1,7,4]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[6,3,2,1,7,4,5]=>[3,6,7,2,1,4,5]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[6,3,2,1,7,5,4]=>[6,7,5,3,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[6,3,2,4,1,5,7]=>[3,2,6,4,1,5,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[6,3,2,4,1,7,5]=>[6,3,7,2,4,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[6,3,2,4,5,1,7]=>[3,2,6,4,5,1,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[6,3,2,4,5,7,1]=>[3,2,6,4,5,7,1]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[6,3,2,4,7,1,5]=>[3,2,6,4,1,7,5]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[6,3,2,4,7,5,1]=>[6,3,7,2,4,5,1]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[6,3,2,5,1,4,7]=>[3,2,6,1,5,4,7]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[6,3,2,5,1,7,4]=>[6,3,5,2,7,1,4]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[6,3,2,5,4,1,7]=>[6,3,5,2,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[6,3,2,5,4,7,1]=>[6,3,5,2,4,7,1]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[6,3,2,5,7,1,4]=>[3,2,6,1,5,7,4]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[6,3,2,5,7,4,1]=>[6,3,5,2,7,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[6,3,2,7,1,4,5]=>[3,2,6,1,4,7,5]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[6,3,2,7,1,5,4]=>[6,3,7,2,1,5,4]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[6,3,2,7,4,1,5]=>[3,6,7,2,4,1,5]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[6,3,2,7,4,5,1]=>[3,6,7,2,4,5,1]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[6,3,2,7,5,1,4]=>[3,6,7,2,1,5,4]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[6,3,2,7,5,4,1]=>[6,7,5,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[6,3,4,1,2,5,7]=>[1,3,4,6,2,5,7]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[6,3,4,1,2,7,5]=>[6,1,3,7,4,2,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[6,3,4,1,5,2,7]=>[3,4,6,5,1,2,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[6,3,4,1,5,7,2]=>[3,4,6,5,1,7,2]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[6,3,4,1,7,2,5]=>[3,4,6,1,7,2,5]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[6,3,4,1,7,5,2]=>[6,3,7,4,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[6,3,4,2,1,5,7]=>[3,4,6,2,1,5,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[6,3,4,2,1,7,5]=>[6,3,7,4,2,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[6,3,4,2,5,1,7]=>[3,4,6,2,5,1,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[6,3,4,2,5,7,1]=>[3,4,6,2,5,7,1]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[6,3,4,2,7,1,5]=>[3,4,6,2,1,7,5]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[6,3,4,2,7,5,1]=>[6,3,7,4,2,5,1]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[6,3,4,5,1,2,7]=>[1,3,4,6,5,2,7]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[6,3,4,5,1,7,2]=>[3,4,6,5,7,1,2]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[6,3,4,5,2,1,7]=>[3,4,6,5,2,1,7]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[6,3,4,5,2,7,1]=>[3,4,6,5,2,7,1]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[6,3,4,5,7,1,2]=>[1,3,4,6,5,7,2]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[6,3,4,5,7,2,1]=>[3,4,6,5,7,2,1]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[6,3,4,7,1,2,5]=>[1,3,4,6,2,7,5]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[6,3,4,7,1,5,2]=>[3,4,6,7,1,5,2]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[6,3,4,7,2,1,5]=>[3,4,6,2,7,1,5]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[6,3,4,7,2,5,1]=>[3,4,6,2,7,5,1]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[6,3,4,7,5,1,2]=>[1,6,3,7,4,5,2]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[6,3,4,7,5,2,1]=>[6,3,7,4,5,2,1]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[6,3,5,1,2,4,7]=>[1,3,2,6,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,3,5,1,2,7,4]=>[6,1,3,5,7,2,4]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,3,5,1,4,2,7]=>[3,6,1,5,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,3,5,1,4,7,2]=>[3,6,1,5,4,7,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,3,5,1,7,2,4]=>[3,1,6,5,7,2,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[6,3,5,1,7,4,2]=>[6,3,5,7,4,1,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,3,5,2,1,4,7]=>[3,2,6,5,1,4,7]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[6,3,5,2,1,7,4]=>[6,3,5,7,2,1,4]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[6,3,5,2,4,1,7]=>[3,2,6,5,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[6,3,5,2,4,7,1]=>[3,2,6,5,4,7,1]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[6,3,5,2,7,1,4]=>[3,2,6,5,1,7,4]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[6,3,5,2,7,4,1]=>[6,3,5,7,2,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[6,3,5,4,1,2,7]=>[1,6,3,5,4,2,7]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[6,3,5,4,1,7,2]=>[6,3,5,4,7,1,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,3,5,4,2,1,7]=>[6,3,5,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[6,3,5,4,2,7,1]=>[6,3,5,4,2,7,1]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[6,3,5,4,7,1,2]=>[1,6,3,5,4,7,2]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[6,3,5,4,7,2,1]=>[6,3,5,4,7,2,1]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[6,3,5,7,1,2,4]=>[1,3,2,6,5,7,4]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,3,5,7,1,4,2]=>[3,6,1,5,7,4,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,3,5,7,2,1,4]=>[3,2,6,5,7,1,4]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[6,3,5,7,2,4,1]=>[3,2,6,5,7,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[6,3,5,7,4,1,2]=>[1,6,3,5,7,4,2]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[6,3,5,7,4,2,1]=>[6,3,5,7,4,2,1]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[6,3,7,1,2,4,5]=>[1,3,2,6,4,7,5]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[6,3,7,1,2,5,4]=>[6,1,3,7,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[6,3,7,1,4,2,5]=>[3,1,6,7,4,2,5]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[6,3,7,1,4,5,2]=>[3,6,1,4,7,5,2]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[6,3,7,1,5,2,4]=>[3,1,6,7,2,5,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[6,3,7,1,5,4,2]=>[6,3,7,5,1,4,2]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[6,3,7,2,1,4,5]=>[3,2,6,1,7,4,5]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[6,3,7,2,1,5,4]=>[6,3,7,2,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[6,3,7,2,4,1,5]=>[3,2,6,4,7,1,5]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[6,3,7,2,4,5,1]=>[3,2,6,4,7,5,1]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[6,3,7,2,5,1,4]=>[3,2,6,1,7,5,4]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[6,3,7,2,5,4,1]=>[6,3,7,2,5,4,1]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[6,3,7,4,1,2,5]=>[1,3,6,7,4,2,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[6,3,7,4,1,5,2]=>[3,6,7,4,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[6,3,7,4,2,1,5]=>[3,6,7,4,2,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[6,3,7,4,2,5,1]=>[3,6,7,4,2,5,1]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[6,3,7,4,5,1,2]=>[1,3,6,7,4,5,2]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[6,3,7,4,5,2,1]=>[3,6,7,4,5,2,1]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[6,3,7,5,1,2,4]=>[1,3,6,7,2,5,4]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,3,7,5,1,4,2]=>[3,6,7,5,1,4,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,3,7,5,2,1,4]=>[3,6,7,2,5,1,4]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[6,3,7,5,2,4,1]=>[3,6,7,2,5,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[6,3,7,5,4,1,2]=>[1,6,7,5,3,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,3,7,5,4,2,1]=>[6,7,5,3,4,2,1]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[6,4,1,2,3,5,7]=>[1,2,4,6,3,5,7]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[6,4,1,2,3,7,5]=>[6,1,2,7,4,3,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,4,1,2,5,3,7]=>[4,1,6,5,2,3,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,4,1,2,5,7,3]=>[4,1,6,5,2,7,3]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[6,4,1,2,7,3,5]=>[1,6,4,2,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,4,1,2,7,5,3]=>[6,7,1,4,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[6,4,1,3,2,5,7]=>[1,6,4,3,2,5,7]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[6,4,1,3,2,7,5]=>[6,7,1,4,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[6,4,1,3,5,2,7]=>[4,1,6,3,5,2,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[6,4,1,3,5,7,2]=>[4,1,6,3,5,7,2]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[6,4,1,3,7,2,5]=>[1,6,4,3,2,7,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[6,4,1,3,7,5,2]=>[6,7,1,4,3,5,2]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[6,4,1,5,2,3,7]=>[1,4,6,5,2,3,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,4,1,5,2,7,3]=>[4,6,5,7,1,2,3]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[6,4,1,5,3,2,7]=>[4,6,5,3,1,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[6,4,1,5,3,7,2]=>[4,6,5,3,1,7,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[6,4,1,5,7,2,3]=>[1,4,6,5,2,7,3]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,4,1,5,7,3,2]=>[4,6,5,7,1,3,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[6,4,1,7,2,3,5]=>[1,4,6,2,7,3,5]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[6,4,1,7,2,5,3]=>[4,6,7,1,5,2,3]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[6,4,1,7,3,2,5]=>[4,6,3,7,1,2,5]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[6,4,1,7,3,5,2]=>[4,6,7,1,3,5,2]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[6,4,1,7,5,2,3]=>[1,6,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[6,4,1,7,5,3,2]=>[6,7,4,5,3,1,2]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[6,4,2,1,3,5,7]=>[2,4,6,1,3,5,7]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[6,4,2,1,3,7,5]=>[6,2,7,4,1,3,5]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[6,4,2,1,5,3,7]=>[4,6,5,2,1,3,7]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[6,4,2,1,5,7,3]=>[4,6,5,2,1,7,3]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[6,4,2,1,7,3,5]=>[4,6,2,7,1,3,5]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[6,4,2,1,7,5,3]=>[6,7,4,5,2,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[6,4,2,3,1,5,7]=>[2,4,6,3,1,5,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[6,4,2,3,1,7,5]=>[6,2,7,4,3,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[6,4,2,3,5,1,7]=>[2,4,6,3,5,1,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[6,4,2,3,5,7,1]=>[2,4,6,3,5,7,1]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[6,4,2,3,7,1,5]=>[2,4,6,3,1,7,5]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[6,4,2,3,7,5,1]=>[6,2,7,4,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[6,4,2,5,1,3,7]=>[2,4,6,1,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[6,4,2,5,1,7,3]=>[4,6,5,2,7,1,3]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[6,4,2,5,3,1,7]=>[4,6,5,2,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[6,4,2,5,3,7,1]=>[4,6,5,2,3,7,1]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[6,4,2,5,7,1,3]=>[2,4,6,1,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[6,4,2,5,7,3,1]=>[4,6,5,2,7,3,1]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[6,4,2,7,1,3,5]=>[2,4,6,1,3,7,5]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[6,4,2,7,1,5,3]=>[4,6,7,2,1,5,3]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[6,4,2,7,3,1,5]=>[4,6,2,7,3,1,5]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[6,4,2,7,3,5,1]=>[4,6,2,7,3,5,1]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[6,4,2,7,5,1,3]=>[2,6,7,4,1,5,3]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[6,4,2,7,5,3,1]=>[6,7,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[6,4,3,1,2,5,7]=>[1,4,6,3,2,5,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[6,4,3,1,2,7,5]=>[6,1,7,4,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[6,4,3,1,5,2,7]=>[4,6,3,5,1,2,7]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[6,4,3,1,5,7,2]=>[4,6,3,5,1,7,2]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[6,4,3,1,7,2,5]=>[4,6,3,1,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[6,4,3,1,7,5,2]=>[6,7,4,3,5,1,2]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[6,4,3,2,1,5,7]=>[4,6,3,2,1,5,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[6,4,3,2,1,7,5]=>[6,7,4,3,2,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[6,4,3,2,5,1,7]=>[4,6,3,2,5,1,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[6,4,3,2,5,7,1]=>[4,6,3,2,5,7,1]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[6,4,3,2,7,1,5]=>[4,6,3,2,1,7,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[6,4,3,2,7,5,1]=>[6,7,4,3,2,5,1]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[6,4,3,5,1,2,7]=>[1,4,6,3,5,2,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[6,4,3,5,1,7,2]=>[4,6,3,5,7,1,2]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[6,4,3,5,2,1,7]=>[4,6,3,5,2,1,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[6,4,3,5,2,7,1]=>[4,6,3,5,2,7,1]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[6,4,3,5,7,1,2]=>[1,4,6,3,5,7,2]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[6,4,3,5,7,2,1]=>[4,6,3,5,7,2,1]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[6,4,3,7,1,2,5]=>[1,4,6,3,2,7,5]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[6,4,3,7,1,5,2]=>[4,6,3,7,1,5,2]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[6,4,3,7,2,1,5]=>[4,6,3,2,7,1,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[6,4,3,7,2,5,1]=>[4,6,3,2,7,5,1]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[6,4,3,7,5,1,2]=>[1,6,7,4,3,5,2]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[6,4,3,7,5,2,1]=>[6,7,4,3,5,2,1]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[6,4,5,1,2,3,7]=>[1,2,4,6,5,3,7]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[6,4,5,1,2,7,3]=>[4,1,6,5,7,2,3]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[6,4,5,1,3,2,7]=>[4,1,6,5,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[6,4,5,1,3,7,2]=>[4,1,6,5,3,7,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[6,4,5,1,7,2,3]=>[1,4,6,5,7,2,3]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,4,5,1,7,3,2]=>[4,6,5,7,3,1,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[6,4,5,2,1,3,7]=>[2,4,6,5,1,3,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[6,4,5,2,1,7,3]=>[4,6,5,7,2,1,3]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[6,4,5,2,3,1,7]=>[2,4,6,5,3,1,7]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[6,4,5,2,3,7,1]=>[2,4,6,5,3,7,1]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[6,4,5,2,7,1,3]=>[2,4,6,5,1,7,3]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[6,4,5,2,7,3,1]=>[4,6,5,7,2,3,1]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[6,4,5,3,1,2,7]=>[1,4,6,5,3,2,7]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[6,4,5,3,1,7,2]=>[4,6,5,3,7,1,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[6,4,5,3,2,1,7]=>[4,6,5,3,2,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[6,4,5,3,2,7,1]=>[4,6,5,3,2,7,1]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[6,4,5,3,7,1,2]=>[1,4,6,5,3,7,2]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[6,4,5,3,7,2,1]=>[4,6,5,3,7,2,1]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[6,4,5,7,1,2,3]=>[1,2,4,6,5,7,3]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[6,4,5,7,1,3,2]=>[4,1,6,5,7,3,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[6,4,5,7,2,1,3]=>[2,4,6,5,7,1,3]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[6,4,5,7,2,3,1]=>[2,4,6,5,7,3,1]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[6,4,5,7,3,1,2]=>[1,4,6,5,7,3,2]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[6,4,5,7,3,2,1]=>[4,6,5,7,3,2,1]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[6,4,7,1,2,3,5]=>[1,2,4,6,3,7,5]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[6,4,7,1,2,5,3]=>[4,1,6,7,2,5,3]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[6,4,7,1,3,2,5]=>[1,6,4,3,7,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[6,4,7,1,3,5,2]=>[4,1,6,3,7,5,2]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[6,4,7,1,5,2,3]=>[1,4,6,7,2,5,3]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,4,7,1,5,3,2]=>[4,6,7,5,1,3,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[6,4,7,2,1,3,5]=>[2,4,6,1,7,3,5]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[6,4,7,2,1,5,3]=>[4,6,7,2,5,1,3]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[6,4,7,2,3,1,5]=>[2,4,6,3,7,1,5]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[6,4,7,2,3,5,1]=>[2,4,6,3,7,5,1]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[6,4,7,2,5,1,3]=>[2,4,6,1,7,5,3]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[6,4,7,2,5,3,1]=>[4,6,7,2,5,3,1]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[6,4,7,3,1,2,5]=>[1,4,6,3,7,2,5]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[6,4,7,3,1,5,2]=>[4,6,3,7,5,1,2]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[6,4,7,3,2,1,5]=>[4,6,3,7,2,1,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[6,4,7,3,2,5,1]=>[4,6,3,7,2,5,1]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[6,4,7,3,5,1,2]=>[1,4,6,3,7,5,2]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[6,4,7,3,5,2,1]=>[4,6,3,7,5,2,1]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[6,4,7,5,1,2,3]=>[1,2,6,7,4,5,3]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,4,7,5,1,3,2]=>[6,1,7,4,5,3,2]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[6,4,7,5,2,1,3]=>[2,6,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[6,4,7,5,2,3,1]=>[2,6,7,4,5,3,1]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[6,4,7,5,3,1,2]=>[1,6,7,4,5,3,2]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[6,4,7,5,3,2,1]=>[6,7,4,5,3,2,1]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[6,5,1,2,3,4,7]=>[1,2,3,6,5,4,7]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[6,5,1,2,3,7,4]=>[6,1,2,5,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,5,1,2,4,3,7]=>[6,1,2,5,4,3,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[6,5,1,2,4,7,3]=>[6,1,2,5,4,7,3]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[6,5,1,2,7,3,4]=>[1,6,2,5,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,5,1,2,7,4,3]=>[6,5,1,7,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,5,1,3,2,4,7]=>[1,6,3,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,5,1,3,2,7,4]=>[6,5,1,7,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,5,1,3,4,2,7]=>[3,1,6,5,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,5,1,3,4,7,2]=>[3,1,6,5,4,7,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,5,1,3,7,2,4]=>[1,6,3,5,2,7,4]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,5,1,3,7,4,2]=>[6,5,1,7,3,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,5,1,4,2,3,7]=>[1,6,2,5,4,3,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[6,5,1,4,2,7,3]=>[6,5,1,4,7,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,5,1,4,3,2,7]=>[6,5,1,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[6,5,1,4,3,7,2]=>[6,5,1,4,3,7,2]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[6,5,1,4,7,2,3]=>[1,6,2,5,4,7,3]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[6,5,1,4,7,3,2]=>[6,5,1,4,7,3,2]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[6,5,1,7,2,3,4]=>[1,2,6,5,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,5,1,7,2,4,3]=>[6,1,5,7,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,5,1,7,3,2,4]=>[3,6,5,7,1,2,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[6,5,1,7,3,4,2]=>[6,1,5,7,3,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,5,1,7,4,2,3]=>[1,6,5,7,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,5,1,7,4,3,2]=>[6,5,7,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[6,5,2,1,3,4,7]=>[2,1,6,5,3,4,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,5,2,1,3,7,4]=>[6,2,5,7,1,3,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[6,5,2,1,4,3,7]=>[6,2,5,4,1,3,7]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,5,2,1,4,7,3]=>[6,2,5,4,1,7,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,5,2,1,7,3,4]=>[2,6,5,7,1,3,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[6,5,2,1,7,4,3]=>[6,5,7,4,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[6,5,2,3,1,4,7]=>[2,3,6,5,1,4,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,5,2,3,1,7,4]=>[6,2,5,7,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[6,5,2,3,4,1,7]=>[2,3,6,5,4,1,7]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[6,5,2,3,4,7,1]=>[2,3,6,5,4,7,1]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[6,5,2,3,7,1,4]=>[2,3,6,5,1,7,4]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,5,2,3,7,4,1]=>[6,2,5,7,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[6,5,2,4,1,3,7]=>[2,1,6,5,4,3,7]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,5,2,4,1,7,3]=>[6,2,5,4,7,1,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,5,2,4,3,1,7]=>[6,2,5,4,3,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[6,5,2,4,3,7,1]=>[6,2,5,4,3,7,1]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[6,5,2,4,7,1,3]=>[2,1,6,5,4,7,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,5,2,4,7,3,1]=>[6,2,5,4,7,3,1]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[6,5,2,7,1,3,4]=>[2,1,6,5,3,7,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[6,5,2,7,1,4,3]=>[6,2,5,7,1,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,5,2,7,3,1,4]=>[2,6,5,7,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[6,5,2,7,3,4,1]=>[2,6,5,7,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[6,5,2,7,4,1,3]=>[2,6,5,7,1,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,5,2,7,4,3,1]=>[6,5,7,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[6,5,3,1,2,4,7]=>[1,3,6,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,5,3,1,2,7,4]=>[6,1,5,7,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,5,3,1,4,2,7]=>[3,6,5,4,1,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,5,3,1,4,7,2]=>[3,6,5,4,1,7,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,5,3,1,7,2,4]=>[3,6,5,1,7,2,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[6,5,3,1,7,4,2]=>[6,5,7,3,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[6,5,3,2,1,4,7]=>[3,6,5,2,1,4,7]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[6,5,3,2,1,7,4]=>[6,5,7,3,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[6,5,3,2,4,1,7]=>[3,6,5,2,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[6,5,3,2,4,7,1]=>[3,6,5,2,4,7,1]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[6,5,3,2,7,1,4]=>[3,6,5,2,1,7,4]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[6,5,3,2,7,4,1]=>[6,5,7,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[6,5,3,4,1,2,7]=>[1,3,6,5,4,2,7]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[6,5,3,4,1,7,2]=>[3,6,5,4,7,1,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[6,5,3,4,2,7,1]=>[3,6,5,4,2,7,1]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[6,5,3,4,7,1,2]=>[1,3,6,5,4,7,2]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[6,5,3,4,7,2,1]=>[3,6,5,4,7,2,1]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[6,5,3,7,1,2,4]=>[1,3,6,5,2,7,4]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,5,3,7,1,4,2]=>[3,6,5,7,1,4,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,5,3,7,2,1,4]=>[3,6,5,2,7,1,4]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[6,5,3,7,2,4,1]=>[3,6,5,2,7,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[6,5,3,7,4,1,2]=>[1,6,5,7,3,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,5,3,7,4,2,1]=>[6,5,7,3,4,2,1]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[6,5,4,1,2,3,7]=>[1,2,6,5,4,3,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[6,5,4,1,2,7,3]=>[6,1,5,4,7,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,5,4,1,3,2,7]=>[6,1,5,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[6,5,4,1,3,7,2]=>[6,1,5,4,3,7,2]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[6,5,4,1,7,2,3]=>[1,6,5,4,7,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,5,4,1,7,3,2]=>[6,5,4,7,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[6,5,4,2,1,3,7]=>[2,6,5,4,1,3,7]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,5,4,2,1,7,3]=>[6,5,4,7,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[6,5,4,2,3,1,7]=>[2,6,5,4,3,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[6,5,4,2,3,7,1]=>[2,6,5,4,3,7,1]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[6,5,4,2,7,1,3]=>[2,6,5,4,1,7,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,5,4,2,7,3,1]=>[6,5,4,7,2,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[6,5,4,3,1,2,7]=>[1,6,5,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[6,5,4,3,1,7,2]=>[6,5,4,3,7,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[1,7],[2],[3],[4],[5],[6]]=>[6,1]
[6,5,4,3,2,7,1]=>[6,5,4,3,2,7,1]=>[[1,7],[2],[3],[4],[5],[6]]=>[6,1]
[6,5,4,3,7,1,2]=>[1,6,5,4,3,7,2]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[6,5,4,3,7,2,1]=>[6,5,4,3,7,2,1]=>[[1,7],[2],[3],[4],[5],[6]]=>[6,1]
[6,5,4,7,1,2,3]=>[1,2,6,5,4,7,3]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[6,5,4,7,1,3,2]=>[6,1,5,4,7,3,2]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[6,5,4,7,2,1,3]=>[2,6,5,4,7,1,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,5,4,7,2,3,1]=>[2,6,5,4,7,3,1]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[6,5,4,7,3,1,2]=>[1,6,5,4,7,3,2]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[6,5,4,7,3,2,1]=>[6,5,4,7,3,2,1]=>[[1,7],[2],[3],[4],[5],[6]]=>[6,1]
[6,5,7,1,2,3,4]=>[1,2,3,6,5,7,4]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[6,5,7,1,2,4,3]=>[6,1,2,5,7,4,3]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[6,5,7,1,3,2,4]=>[1,6,3,5,7,2,4]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,5,7,1,3,4,2]=>[3,1,6,5,7,4,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,5,7,1,4,2,3]=>[1,6,2,5,7,4,3]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[6,5,7,1,4,3,2]=>[6,5,1,7,4,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[6,5,7,2,1,3,4]=>[2,1,6,5,7,3,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[6,5,7,2,1,4,3]=>[6,2,5,7,4,1,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,5,7,2,3,1,4]=>[2,3,6,5,7,1,4]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,5,7,2,3,4,1]=>[2,3,6,5,7,4,1]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[6,5,7,2,4,1,3]=>[2,1,6,5,7,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,5,7,2,4,3,1]=>[6,2,5,7,4,3,1]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[6,5,7,3,1,2,4]=>[1,3,6,5,7,2,4]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,5,7,3,1,4,2]=>[3,6,5,7,4,1,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,5,7,3,2,1,4]=>[3,6,5,7,2,1,4]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[6,5,7,3,2,4,1]=>[3,6,5,7,2,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[6,5,7,3,4,1,2]=>[1,3,6,5,7,4,2]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[6,5,7,3,4,2,1]=>[3,6,5,7,4,2,1]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[6,5,7,4,1,2,3]=>[1,2,6,5,7,4,3]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[6,5,7,4,1,3,2]=>[6,1,5,7,4,3,2]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[6,5,7,4,2,1,3]=>[2,6,5,7,4,1,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,5,7,4,2,3,1]=>[2,6,5,7,4,3,1]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[6,5,7,4,3,1,2]=>[1,6,5,7,4,3,2]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[6,5,7,4,3,2,1]=>[6,5,7,4,3,2,1]=>[[1,7],[2],[3],[4],[5],[6]]=>[6,1]
[6,7,1,2,3,4,5]=>[1,2,3,4,6,7,5]=>[[1,2,3,4,5,7],[6]]=>[6,1]
[6,7,1,2,3,5,4]=>[6,1,2,3,7,5,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,7,1,2,4,3,5]=>[1,6,2,4,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,7,1,2,4,5,3]=>[4,1,2,6,7,5,3]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,7,1,2,5,3,4]=>[1,6,2,3,7,5,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,7,1,2,5,4,3]=>[6,7,1,2,5,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,7,1,3,2,4,5]=>[1,3,6,2,7,4,5]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[6,7,1,3,2,5,4]=>[6,1,7,3,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[6,7,1,3,4,2,5]=>[3,1,4,6,7,2,5]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[6,7,1,3,4,5,2]=>[3,1,4,6,7,5,2]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[6,7,1,3,5,2,4]=>[3,1,2,6,7,5,4]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,7,1,3,5,4,2]=>[6,3,1,7,5,4,2]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[6,7,1,4,2,3,5]=>[1,2,6,4,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,7,1,4,2,5,3]=>[6,1,4,7,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[6,7,1,4,3,2,5]=>[1,6,7,4,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[6,7,1,4,3,5,2]=>[6,1,4,7,3,5,2]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[6,7,1,4,5,2,3]=>[1,4,2,6,7,5,3]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,7,1,4,5,3,2]=>[4,6,1,7,5,3,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[6,7,1,5,2,3,4]=>[1,2,6,3,7,5,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,7,1,5,2,4,3]=>[6,1,7,2,5,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,7,1,5,3,2,4]=>[1,6,7,3,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[6,7,1,5,3,4,2]=>[6,1,3,7,5,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,7,1,5,4,2,3]=>[1,6,7,2,5,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,7,1,5,4,3,2]=>[6,7,5,1,4,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[6,7,2,1,3,4,5]=>[2,1,3,6,7,4,5]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[6,7,2,1,3,5,4]=>[6,2,1,7,5,3,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[6,7,2,1,4,3,5]=>[2,6,4,7,1,3,5]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[6,7,2,1,4,5,3]=>[6,2,1,7,4,5,3]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[6,7,2,1,5,3,4]=>[2,6,1,7,5,3,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[6,7,2,1,5,4,3]=>[6,7,2,5,4,1,3]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[6,7,2,3,1,4,5]=>[2,3,1,6,7,4,5]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[6,7,2,3,1,5,4]=>[6,2,3,7,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[6,7,2,3,4,1,5]=>[2,3,4,6,7,1,5]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[6,7,2,3,4,5,1]=>[2,3,4,6,7,5,1]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[6,7,2,3,5,1,4]=>[2,3,1,6,7,5,4]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,7,2,3,5,4,1]=>[6,2,3,7,5,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[6,7,2,4,1,3,5]=>[2,1,4,6,7,3,5]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[6,7,2,4,1,5,3]=>[4,2,6,7,5,1,3]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[6,7,2,4,3,1,5]=>[2,6,4,7,3,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[6,7,2,4,3,5,1]=>[2,6,4,7,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[6,7,2,4,5,1,3]=>[2,1,4,6,7,5,3]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[6,7,2,4,5,3,1]=>[4,2,6,7,5,3,1]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[6,7,2,5,1,3,4]=>[2,1,3,6,7,5,4]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,7,2,5,1,4,3]=>[6,2,1,7,5,4,3]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[6,7,2,5,3,1,4]=>[2,6,3,7,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[6,7,2,5,3,4,1]=>[2,6,3,7,5,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[6,7,2,5,4,1,3]=>[2,6,1,7,5,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,7,2,5,4,3,1]=>[6,7,2,5,4,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[6,7,3,1,2,4,5]=>[1,3,2,6,7,4,5]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[6,7,3,1,2,5,4]=>[6,1,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[6,7,3,1,4,2,5]=>[3,4,6,7,1,2,5]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[6,7,3,1,4,5,2]=>[3,6,1,7,4,5,2]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[6,7,3,1,5,2,4]=>[3,1,6,7,5,2,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[6,7,3,1,5,4,2]=>[6,3,7,5,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[6,7,3,2,1,4,5]=>[3,2,6,7,1,4,5]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[6,7,3,2,1,5,4]=>[6,3,7,5,2,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[6,7,3,2,4,1,5]=>[3,2,6,7,4,1,5]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[6,7,3,2,4,5,1]=>[3,2,6,7,4,5,1]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[6,7,3,2,5,1,4]=>[3,2,6,7,1,5,4]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[6,7,3,2,5,4,1]=>[6,3,7,5,2,4,1]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[6,7,3,4,1,2,5]=>[1,3,4,6,7,2,5]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[6,7,3,4,1,5,2]=>[3,4,6,7,5,1,2]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[6,7,3,4,2,1,5]=>[3,4,6,7,2,1,5]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[6,7,3,4,2,5,1]=>[3,4,6,7,2,5,1]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[6,7,3,4,5,1,2]=>[1,3,4,6,7,5,2]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[6,7,3,4,5,2,1]=>[3,4,6,7,5,2,1]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[6,7,3,5,1,2,4]=>[1,3,2,6,7,5,4]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,7,3,5,1,4,2]=>[3,6,1,7,5,4,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,7,3,5,2,1,4]=>[3,2,6,7,5,1,4]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[6,7,3,5,2,4,1]=>[3,2,6,7,5,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[6,7,3,5,4,1,2]=>[1,6,3,7,5,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,7,3,5,4,2,1]=>[6,3,7,5,4,2,1]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[6,7,4,1,2,3,5]=>[1,2,4,6,7,3,5]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[6,7,4,1,2,5,3]=>[4,1,6,7,5,2,3]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[6,7,4,1,3,2,5]=>[1,6,4,7,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[6,7,4,1,3,5,2]=>[4,1,6,7,3,5,2]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[6,7,4,1,5,2,3]=>[1,4,6,7,5,2,3]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,7,4,1,5,3,2]=>[4,6,7,5,3,1,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[6,7,4,2,1,3,5]=>[2,4,6,7,1,3,5]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[6,7,4,2,1,5,3]=>[4,6,7,5,2,1,3]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[6,7,4,2,3,1,5]=>[2,4,6,7,3,1,5]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[6,7,4,2,3,5,1]=>[2,4,6,7,3,5,1]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[6,7,4,2,5,1,3]=>[2,4,6,7,1,5,3]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[6,7,4,2,5,3,1]=>[4,6,7,5,2,3,1]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[6,7,4,3,1,2,5]=>[1,4,6,7,3,2,5]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[6,7,4,3,1,5,2]=>[4,6,7,3,5,1,2]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[6,7,4,3,2,1,5]=>[4,6,7,3,2,1,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[6,7,4,3,2,5,1]=>[4,6,7,3,2,5,1]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[6,7,4,3,5,1,2]=>[1,4,6,7,3,5,2]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[6,7,4,3,5,2,1]=>[4,6,7,3,5,2,1]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[6,7,4,5,1,2,3]=>[1,2,4,6,7,5,3]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[6,7,4,5,1,3,2]=>[4,1,6,7,5,3,2]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[6,7,4,5,2,1,3]=>[2,4,6,7,5,1,3]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[6,7,4,5,2,3,1]=>[2,4,6,7,5,3,1]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[6,7,4,5,3,1,2]=>[1,4,6,7,5,3,2]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[6,7,4,5,3,2,1]=>[4,6,7,5,3,2,1]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[6,7,5,1,2,3,4]=>[1,2,3,6,7,5,4]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[6,7,5,1,2,4,3]=>[6,1,2,7,5,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,7,5,1,3,2,4]=>[1,6,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[6,7,5,1,3,4,2]=>[3,1,6,7,5,4,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,7,5,1,4,2,3]=>[1,6,2,7,5,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,7,5,1,4,3,2]=>[6,7,1,5,4,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[6,7,5,2,1,3,4]=>[2,1,6,7,5,3,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[6,7,5,2,1,4,3]=>[6,2,7,5,4,1,3]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[6,7,5,2,3,1,4]=>[2,3,6,7,5,1,4]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,7,5,2,3,4,1]=>[2,3,6,7,5,4,1]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[6,7,5,2,4,1,3]=>[2,1,6,7,5,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,7,5,2,4,3,1]=>[6,2,7,5,4,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[6,7,5,3,1,2,4]=>[1,3,6,7,5,2,4]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,7,5,3,1,4,2]=>[3,6,7,5,4,1,2]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,7,5,3,2,1,4]=>[3,6,7,5,2,1,4]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[6,7,5,3,2,4,1]=>[3,6,7,5,2,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[6,7,5,3,4,1,2]=>[1,3,6,7,5,4,2]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[6,7,5,3,4,2,1]=>[3,6,7,5,4,2,1]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[6,7,5,4,1,2,3]=>[1,2,6,7,5,4,3]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[6,7,5,4,1,3,2]=>[6,1,7,5,4,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[6,7,5,4,2,1,3]=>[2,6,7,5,4,1,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,7,5,4,2,3,1]=>[2,6,7,5,4,3,1]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[6,7,5,4,3,1,2]=>[1,6,7,5,4,3,2]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[6,7,5,4,3,2,1]=>[6,7,5,4,3,2,1]=>[[1,7],[2],[3],[4],[5],[6]]=>[6,1]
[7,1,2,3,4,5,6]=>[1,2,3,4,5,7,6]=>[[1,2,3,4,5,6],[7]]=>[7]
[7,1,2,3,4,6,5]=>[7,1,2,3,4,6,5]=>[[1,2,3,4,5],[6],[7]]=>[7]
[7,1,2,3,5,4,6]=>[1,7,2,3,5,4,6]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[7,1,2,3,5,6,4]=>[5,1,2,3,7,6,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,1,2,3,6,4,5]=>[1,7,2,3,4,6,5]=>[[1,2,3,4,5],[6],[7]]=>[7]
[7,1,2,3,6,5,4]=>[7,6,1,2,3,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[7,1,2,4,3,5,6]=>[1,2,7,4,3,5,6]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[7,1,2,4,3,6,5]=>[7,1,6,2,4,3,5]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[7,1,2,4,5,3,6]=>[4,1,2,5,7,3,6]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[7,1,2,4,5,6,3]=>[4,1,2,5,7,6,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[7,1,2,4,6,3,5]=>[4,1,2,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,1,2,4,6,5,3]=>[7,4,1,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,1,2,5,3,4,6]=>[1,2,7,3,5,4,6]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[7,1,2,5,3,6,4]=>[7,1,5,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,1,2,5,4,3,6]=>[5,7,1,2,4,3,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[7,1,2,5,4,6,3]=>[7,1,5,2,4,6,3]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[7,1,2,5,6,3,4]=>[1,5,2,3,7,6,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,1,2,5,6,4,3]=>[5,7,1,2,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[7,1,2,6,3,4,5]=>[1,2,7,3,4,6,5]=>[[1,2,3,4,5],[6],[7]]=>[7]
[7,1,2,6,3,5,4]=>[7,1,6,2,3,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[7,1,2,6,4,3,5]=>[1,7,6,2,4,3,5]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[7,1,2,6,4,5,3]=>[7,1,4,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,1,2,6,5,3,4]=>[1,7,6,2,3,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[7,1,2,6,5,4,3]=>[7,6,5,1,2,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[7,1,3,2,4,5,6]=>[1,3,2,7,4,5,6]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[7,1,3,2,4,6,5]=>[7,1,3,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,1,3,2,5,4,6]=>[1,7,5,3,2,4,6]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[7,1,3,2,5,6,4]=>[7,1,3,5,2,6,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,1,3,2,6,4,5]=>[1,7,3,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,1,3,2,6,5,4]=>[7,6,1,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[7,1,3,4,2,5,6]=>[3,1,4,2,7,5,6]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[7,1,3,4,2,6,5]=>[7,3,1,4,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[7,1,3,4,5,2,6]=>[3,1,4,5,7,2,6]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[7,1,3,4,5,6,2]=>[3,1,4,5,7,6,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[7,1,3,4,6,2,5]=>[3,1,4,2,7,6,5]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[7,1,3,4,6,5,2]=>[7,3,1,4,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[7,1,3,5,2,4,6]=>[3,1,2,5,7,4,6]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[7,1,3,5,2,6,4]=>[5,3,1,7,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[7,1,3,5,4,2,6]=>[3,7,1,5,4,2,6]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[7,1,3,5,4,6,2]=>[7,1,3,5,4,6,2]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[7,1,3,5,6,2,4]=>[3,1,2,5,7,6,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,1,3,5,6,4,2]=>[5,3,1,7,6,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[7,1,3,6,2,4,5]=>[3,1,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,1,3,6,2,5,4]=>[7,3,1,2,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,1,3,6,4,2,5]=>[3,7,1,4,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[7,1,3,6,4,5,2]=>[7,1,3,4,6,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[7,1,3,6,5,2,4]=>[3,7,1,2,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,1,3,6,5,4,2]=>[7,6,3,1,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[7,1,4,2,3,5,6]=>[1,2,4,7,3,5,6]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[7,1,4,2,3,6,5]=>[7,1,2,6,4,3,5]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[7,1,4,2,5,3,6]=>[1,7,4,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[7,1,4,2,5,6,3]=>[4,1,7,5,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[7,1,4,2,6,3,5]=>[1,7,4,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,1,4,2,6,5,3]=>[7,6,1,4,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,1,4,3,2,5,6]=>[4,1,7,3,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,1,4,3,2,6,5]=>[7,4,6,1,3,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[7,1,4,3,5,2,6]=>[1,7,4,3,5,2,6]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[7,1,4,3,5,6,2]=>[4,1,7,3,5,6,2]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,1,4,3,6,2,5]=>[1,7,4,3,2,6,5]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[7,1,4,3,6,5,2]=>[7,6,1,4,3,5,2]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[7,1,4,5,2,3,6]=>[1,4,2,5,7,3,6]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[7,1,4,5,2,6,3]=>[4,5,1,7,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[7,1,4,5,3,2,6]=>[4,1,7,5,3,2,6]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[7,1,4,5,3,6,2]=>[4,5,1,7,3,6,2]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[7,1,4,5,6,2,3]=>[1,4,2,5,7,6,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[7,1,4,5,6,3,2]=>[4,5,1,7,6,3,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[7,1,4,6,2,3,5]=>[1,4,2,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,1,4,6,2,5,3]=>[4,7,1,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,1,4,6,3,2,5]=>[4,1,7,3,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[7,1,4,6,3,5,2]=>[4,3,1,7,6,5,2]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[7,1,4,6,5,2,3]=>[1,7,4,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,1,4,6,5,3,2]=>[7,4,6,1,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[7,1,5,2,3,4,6]=>[1,2,3,7,5,4,6]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[7,1,5,2,3,6,4]=>[7,1,2,5,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,1,5,2,4,3,6]=>[1,7,5,2,4,3,6]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[7,1,5,2,4,6,3]=>[7,1,2,5,4,6,3]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[7,1,5,2,6,3,4]=>[1,7,2,5,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,1,5,2,6,4,3]=>[7,5,1,6,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[7,1,5,3,2,4,6]=>[1,5,7,3,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[7,1,5,3,2,6,4]=>[5,7,6,1,3,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[7,1,5,3,4,2,6]=>[1,7,3,5,4,2,6]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[7,1,5,3,4,6,2]=>[3,1,7,5,4,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[7,1,5,3,6,2,4]=>[1,7,3,5,2,6,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,1,5,3,6,4,2]=>[7,5,1,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[7,1,5,4,2,3,6]=>[1,5,7,2,4,3,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[7,1,5,4,2,6,3]=>[5,7,4,1,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[7,1,5,4,3,2,6]=>[5,7,4,1,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[7,1,5,4,3,6,2]=>[5,7,4,1,3,6,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[7,1,5,4,6,2,3]=>[1,7,2,5,4,6,3]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[7,1,5,4,6,3,2]=>[7,5,1,4,6,3,2]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[7,1,5,6,2,3,4]=>[1,2,5,3,7,6,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,1,5,6,2,4,3]=>[5,1,7,2,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[7,1,5,6,3,2,4]=>[1,5,7,3,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[7,1,5,6,3,4,2]=>[5,1,3,7,6,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[7,1,5,6,4,2,3]=>[1,5,7,2,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[7,1,5,6,4,3,2]=>[5,7,6,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[7,1,6,2,3,4,5]=>[1,2,3,7,4,6,5]=>[[1,2,3,4,5],[6],[7]]=>[7]
[7,1,6,2,3,5,4]=>[7,1,2,6,3,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[7,1,6,2,4,3,5]=>[1,7,2,6,4,3,5]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[7,1,6,2,4,5,3]=>[7,1,2,4,6,5,3]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[7,1,6,2,5,3,4]=>[1,7,2,6,3,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[7,1,6,2,5,4,3]=>[7,6,1,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[7,1,6,3,2,4,5]=>[1,3,7,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,1,6,3,2,5,4]=>[7,1,6,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[7,1,6,3,4,2,5]=>[1,7,3,4,6,2,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,1,6,3,4,5,2]=>[3,1,7,4,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[7,1,6,3,5,2,4]=>[1,7,3,2,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,1,6,3,5,4,2]=>[7,6,1,3,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[7,1,6,4,2,3,5]=>[1,2,7,6,4,3,5]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[7,1,6,4,2,5,3]=>[7,1,6,4,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,1,6,4,3,2,5]=>[4,7,6,1,3,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[7,1,6,4,3,5,2]=>[7,1,6,4,3,5,2]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[7,1,6,4,5,2,3]=>[1,7,2,4,6,5,3]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[7,1,6,4,5,3,2]=>[7,4,1,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[7,1,6,5,2,3,4]=>[1,2,7,6,3,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[7,1,6,5,2,4,3]=>[7,1,6,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[7,1,6,5,3,2,4]=>[1,7,6,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[7,1,6,5,3,4,2]=>[7,1,6,3,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[7,1,6,5,4,2,3]=>[1,7,6,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[7,1,6,5,4,3,2]=>[7,6,5,4,1,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[7]
[7,2,1,3,4,5,6]=>[2,1,3,4,7,5,6]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[7,2,1,3,4,6,5]=>[7,2,1,3,6,4,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[7,2,1,3,5,4,6]=>[2,7,1,5,3,4,6]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[7,2,1,3,5,6,4]=>[7,2,1,3,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[7,2,1,3,6,4,5]=>[2,7,1,3,6,4,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[7,2,1,3,6,5,4]=>[7,6,2,1,5,3,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[7,2,1,4,3,5,6]=>[2,4,7,1,3,5,6]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[7,2,1,4,3,6,5]=>[7,2,6,4,1,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[7,2,1,4,5,3,6]=>[2,7,1,4,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[7,2,1,4,5,6,3]=>[4,2,1,7,5,6,3]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[7,2,1,4,6,3,5]=>[2,7,1,4,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[7,2,1,4,6,5,3]=>[7,6,2,1,4,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[7,2,1,5,3,4,6]=>[2,1,7,5,3,4,6]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[7,2,1,5,3,6,4]=>[7,2,5,6,1,3,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[7,2,1,5,4,3,6]=>[5,7,2,4,1,3,6]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[7,2,1,5,4,6,3]=>[7,2,5,4,1,6,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[7,2,1,5,6,3,4]=>[2,7,1,3,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[7,2,1,5,6,4,3]=>[7,5,2,1,6,4,3]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[7,2,1,6,3,4,5]=>[2,1,7,3,6,4,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[7,2,1,6,3,5,4]=>[7,2,6,1,5,3,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[7,2,1,6,4,3,5]=>[2,7,6,4,1,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[7,2,1,6,4,5,3]=>[7,2,6,1,4,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[7,2,1,6,5,3,4]=>[2,7,6,1,5,3,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[7,2,1,6,5,4,3]=>[7,6,5,2,4,1,3]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[7,2,3,1,4,5,6]=>[2,3,1,4,7,5,6]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[7,2,3,1,4,6,5]=>[7,2,3,1,6,4,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[7,2,3,1,5,4,6]=>[2,7,3,5,1,4,6]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[7,2,3,1,5,6,4]=>[7,2,3,1,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[7,2,3,1,6,4,5]=>[2,7,3,1,6,4,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[7,2,3,1,6,5,4]=>[7,6,2,3,5,1,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[7,2,3,4,1,5,6]=>[2,3,4,1,7,5,6]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[7,2,3,4,1,6,5]=>[7,2,3,4,6,1,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[7,2,3,4,5,1,6]=>[2,3,4,5,7,1,6]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[7,2,3,4,5,6,1]=>[2,3,4,5,7,6,1]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[7,2,3,4,6,1,5]=>[2,3,4,1,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[7,2,3,4,6,5,1]=>[7,2,3,4,6,5,1]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[7,2,3,5,1,4,6]=>[2,3,1,5,7,4,6]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[7,2,3,5,1,6,4]=>[5,2,3,7,6,1,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[7,2,3,5,4,1,6]=>[2,7,3,5,4,1,6]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[7,2,3,5,4,6,1]=>[2,7,3,5,4,6,1]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[7,2,3,5,6,1,4]=>[2,3,1,5,7,6,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[7,2,3,5,6,4,1]=>[5,2,3,7,6,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[7,2,3,6,1,4,5]=>[2,3,1,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[7,2,3,6,1,5,4]=>[7,2,3,1,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[7,2,3,6,4,1,5]=>[2,7,3,4,6,1,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[7,2,3,6,4,5,1]=>[2,7,3,4,6,5,1]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[7,2,3,6,5,1,4]=>[2,7,3,1,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[7,2,3,6,5,4,1]=>[7,6,2,3,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[7,2,4,1,3,5,6]=>[2,1,4,3,7,5,6]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[7,2,4,1,3,6,5]=>[7,2,1,4,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[7,2,4,1,5,3,6]=>[4,2,5,7,1,3,6]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[7,2,4,1,5,6,3]=>[4,2,7,1,5,6,3]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[7,2,4,1,6,3,5]=>[4,2,1,7,6,3,5]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[7,2,4,1,6,5,3]=>[7,4,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[7,2,4,3,1,5,6]=>[2,4,7,3,1,5,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[7,2,4,3,1,6,5]=>[7,2,6,4,3,1,5]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[7,2,4,3,5,1,6]=>[2,4,7,3,5,1,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[7,2,4,3,5,6,1]=>[2,4,7,3,5,6,1]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[7,2,4,3,6,1,5]=>[2,4,7,3,1,6,5]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[7,2,4,3,6,5,1]=>[7,2,6,4,3,5,1]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[7,2,4,5,1,3,6]=>[2,1,4,5,7,3,6]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[7,2,4,5,1,6,3]=>[4,2,5,7,6,1,3]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[7,2,4,5,3,1,6]=>[4,2,5,7,3,1,6]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[7,2,4,5,3,6,1]=>[4,2,5,7,3,6,1]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[7,2,4,5,6,1,3]=>[2,1,4,5,7,6,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[7,2,4,5,6,3,1]=>[4,2,5,7,6,3,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[7,2,4,6,1,3,5]=>[2,1,4,3,7,6,5]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[7,2,4,6,1,5,3]=>[4,2,7,1,6,5,3]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[7,2,4,6,3,1,5]=>[4,2,3,7,6,1,5]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[7,2,4,6,3,5,1]=>[4,2,3,7,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[7,2,4,6,5,1,3]=>[2,7,1,4,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[7,2,4,6,5,3,1]=>[7,4,2,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[7,2,5,1,3,4,6]=>[2,1,3,5,7,4,6]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[7,2,5,1,3,6,4]=>[5,2,1,7,6,3,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[7,2,5,1,4,3,6]=>[2,7,1,5,4,3,6]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[7,2,5,1,4,6,3]=>[5,2,1,7,4,6,3]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[7,2,5,1,6,3,4]=>[2,5,1,7,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[7,2,5,1,6,4,3]=>[5,7,2,6,4,1,3]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[7,2,5,3,1,4,6]=>[2,3,7,5,1,4,6]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[7,2,5,3,1,6,4]=>[7,2,5,6,3,1,4]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[7,2,5,3,4,1,6]=>[2,3,7,5,4,1,6]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[7,2,5,3,4,6,1]=>[2,3,7,5,4,6,1]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[7,2,5,3,6,1,4]=>[2,3,7,5,1,6,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[7,2,5,3,6,4,1]=>[7,2,5,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[7,2,5,4,1,3,6]=>[2,1,7,5,4,3,6]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[7,2,5,4,1,6,3]=>[7,2,5,4,6,1,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[7,2,5,4,3,1,6]=>[5,7,2,4,3,1,6]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[7,2,5,4,3,6,1]=>[5,7,2,4,3,6,1]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[7,2,5,4,6,1,3]=>[2,1,7,5,4,6,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[7,2,5,4,6,3,1]=>[7,2,5,4,6,3,1]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[7,2,5,6,1,3,4]=>[2,1,3,5,7,6,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[7,2,5,6,1,4,3]=>[5,2,1,7,6,4,3]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[7,2,5,6,3,1,4]=>[2,5,3,7,6,1,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[7,2,5,6,3,4,1]=>[2,5,3,7,6,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[7,2,5,6,4,1,3]=>[2,5,1,7,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[7,2,5,6,4,3,1]=>[5,7,2,6,4,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[7,2,6,1,3,4,5]=>[2,1,3,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[7,2,6,1,3,5,4]=>[7,2,1,3,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[7,2,6,1,4,3,5]=>[2,7,1,4,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[7,2,6,1,4,5,3]=>[4,2,1,7,6,5,3]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[7,2,6,1,5,3,4]=>[2,7,1,3,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[7,2,6,1,5,4,3]=>[7,6,2,1,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[7,2,6,3,1,4,5]=>[2,3,7,1,6,4,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[7,2,6,3,1,5,4]=>[7,2,6,3,5,1,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[7,2,6,3,4,1,5]=>[2,3,7,4,6,1,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[7,2,6,3,4,5,1]=>[2,3,7,4,6,5,1]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[7,2,6,3,5,1,4]=>[2,3,7,1,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[7,2,6,3,5,4,1]=>[7,2,6,3,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[7,2,6,4,1,3,5]=>[2,1,7,4,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[7,2,6,4,1,5,3]=>[7,2,4,6,5,1,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[7,2,6,4,3,1,5]=>[2,7,6,4,3,1,5]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[7,2,6,4,3,5,1]=>[2,7,6,4,3,5,1]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[7,2,6,4,5,1,3]=>[2,1,7,4,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[7,2,6,4,5,3,1]=>[7,2,4,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[7,2,6,5,1,3,4]=>[2,1,7,3,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[7,2,6,5,1,4,3]=>[7,2,6,1,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[7,2,6,5,3,1,4]=>[2,7,6,3,5,1,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[7,2,6,5,3,4,1]=>[2,7,6,3,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[7,2,6,5,4,1,3]=>[2,7,6,1,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[7,2,6,5,4,3,1]=>[7,6,5,2,4,3,1]=>[[1,3],[2],[4],[5],[6],[7]]=>[2,5]
[7,3,1,2,4,5,6]=>[1,3,2,4,7,5,6]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[7,3,1,2,4,6,5]=>[7,1,3,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,3,1,2,5,4,6]=>[1,7,3,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,3,1,2,5,6,4]=>[7,1,3,2,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,3,1,2,6,4,5]=>[1,7,3,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,3,1,2,6,5,4]=>[7,6,1,3,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,3,1,4,2,5,6]=>[3,4,1,7,2,5,6]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[7,3,1,4,2,6,5]=>[7,3,4,6,1,2,5]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[7,3,1,4,5,2,6]=>[3,1,7,4,5,2,6]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[7,3,1,4,5,6,2]=>[3,4,1,7,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[7,3,1,4,6,2,5]=>[3,1,7,4,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[7,3,1,4,6,5,2]=>[7,3,6,1,4,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[7,3,1,5,2,4,6]=>[3,1,5,7,2,4,6]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[7,3,1,5,2,6,4]=>[5,3,7,6,1,2,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[7,3,1,5,4,2,6]=>[3,7,5,4,1,2,6]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[7,3,1,5,4,6,2]=>[3,7,5,4,1,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[7,3,1,5,6,2,4]=>[3,1,7,2,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,3,1,5,6,4,2]=>[7,3,5,1,6,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[7,3,1,6,2,4,5]=>[3,1,2,7,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,3,1,6,2,5,4]=>[7,3,1,6,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,3,1,6,4,2,5]=>[3,7,4,6,1,2,5]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[7,3,1,6,4,5,2]=>[3,7,6,1,4,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[7,3,1,6,5,2,4]=>[3,7,1,6,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,3,1,6,5,4,2]=>[7,6,3,5,4,1,2]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[7,3,2,1,4,5,6]=>[3,2,1,7,4,5,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[7,3,2,1,4,6,5]=>[7,3,2,6,1,4,5]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[7,3,2,1,5,4,6]=>[3,7,5,2,1,4,6]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[7,3,2,1,5,6,4]=>[7,3,2,5,1,6,4]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[7,3,2,1,6,4,5]=>[3,7,2,6,1,4,5]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[7,3,2,1,6,5,4]=>[7,6,3,5,2,1,4]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[7,3,2,4,1,5,6]=>[3,2,4,7,1,5,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[7,3,2,4,1,6,5]=>[7,3,2,6,4,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[7,3,2,4,5,1,6]=>[3,2,4,7,5,1,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[7,3,2,4,5,6,1]=>[3,2,4,7,5,6,1]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[7,3,2,4,6,1,5]=>[3,2,4,7,1,6,5]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[7,3,2,4,6,5,1]=>[7,3,2,6,4,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[7,3,2,5,1,4,6]=>[3,2,1,7,5,4,6]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[7,3,2,5,1,6,4]=>[7,3,2,5,6,1,4]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[7,3,2,5,4,1,6]=>[3,7,5,2,4,1,6]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[7,3,2,5,4,6,1]=>[3,7,5,2,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[7,3,2,5,6,1,4]=>[3,2,1,7,5,6,4]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[7,3,2,5,6,4,1]=>[7,3,2,5,6,4,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[7,3,2,6,1,4,5]=>[3,2,1,7,4,6,5]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[7,3,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[7,3,2,6,4,1,5]=>[3,7,2,6,4,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[7,3,2,6,4,5,1]=>[3,7,2,6,4,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[7,3,2,6,5,1,4]=>[3,7,2,6,1,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[7,3,2,6,5,4,1]=>[7,6,3,5,2,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[7,3,4,1,2,5,6]=>[1,3,4,2,7,5,6]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[7,3,4,1,2,6,5]=>[7,1,3,4,6,2,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,3,4,1,5,2,6]=>[3,4,5,7,1,2,6]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[7,3,4,1,5,6,2]=>[3,4,7,1,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[7,3,4,1,6,2,5]=>[3,4,1,7,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[7,3,4,1,6,5,2]=>[7,3,4,6,5,1,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[7,3,4,2,1,5,6]=>[3,4,2,7,1,5,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[7,3,4,2,1,6,5]=>[7,3,4,6,2,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[7,3,4,2,5,1,6]=>[3,4,2,7,5,1,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[7,3,4,2,5,6,1]=>[3,4,2,7,5,6,1]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[7,3,4,2,6,1,5]=>[3,4,2,7,1,6,5]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[7,3,4,2,6,5,1]=>[7,3,4,6,2,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[7,3,4,5,1,2,6]=>[1,3,4,5,7,2,6]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[7,3,4,5,1,6,2]=>[3,4,5,7,6,1,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[7,3,4,5,2,1,6]=>[3,4,5,7,2,1,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[7,3,4,5,2,6,1]=>[3,4,5,7,2,6,1]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[7,3,4,5,6,1,2]=>[1,3,4,5,7,6,2]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[7,3,4,5,6,2,1]=>[3,4,5,7,6,2,1]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[7,3,4,6,1,2,5]=>[1,3,4,2,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,3,4,6,1,5,2]=>[3,4,7,1,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[7,3,4,6,2,1,5]=>[3,4,2,7,6,1,5]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[7,3,4,6,2,5,1]=>[3,4,2,7,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[7,3,4,6,5,1,2]=>[1,7,3,4,6,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[7,3,4,6,5,2,1]=>[7,3,4,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[7,3,5,1,2,4,6]=>[1,3,2,5,7,4,6]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[7,3,5,1,2,6,4]=>[5,1,3,7,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[7,3,5,1,4,2,6]=>[3,1,7,5,4,2,6]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[7,3,5,1,4,6,2]=>[3,5,1,7,4,6,2]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[7,3,5,1,6,2,4]=>[3,1,5,7,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[7,3,5,1,6,4,2]=>[5,3,7,6,4,1,2]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[7,3,5,2,1,4,6]=>[3,2,5,7,1,4,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[7,3,5,2,1,6,4]=>[5,3,7,6,2,1,4]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[7,3,5,2,4,1,6]=>[3,2,5,7,4,1,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[7,3,5,2,4,6,1]=>[3,2,5,7,4,6,1]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[7,3,5,2,6,1,4]=>[3,2,5,7,1,6,4]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[7,3,5,2,6,4,1]=>[5,3,7,6,2,4,1]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[7,3,5,4,1,2,6]=>[1,3,7,5,4,2,6]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[7,3,5,4,1,6,2]=>[3,7,5,4,6,1,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[7,3,5,4,2,1,6]=>[3,7,5,4,2,1,6]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[7,3,5,4,2,6,1]=>[3,7,5,4,2,6,1]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[7,3,5,4,6,1,2]=>[1,3,7,5,4,6,2]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[7,3,5,4,6,2,1]=>[3,7,5,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[7,3,5,6,1,2,4]=>[1,3,2,5,7,6,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,3,5,6,1,4,2]=>[3,5,1,7,6,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[7,3,5,6,2,1,4]=>[3,2,5,7,6,1,4]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[7,3,5,6,2,4,1]=>[3,2,5,7,6,4,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[7,3,5,6,4,1,2]=>[1,5,3,7,6,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[7,3,5,6,4,2,1]=>[5,3,7,6,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[7,3,6,1,2,4,5]=>[1,3,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,3,6,1,2,5,4]=>[7,1,3,2,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,3,6,1,4,2,5]=>[3,1,7,4,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[7,3,6,1,4,5,2]=>[3,4,1,7,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[7,3,6,1,5,2,4]=>[3,1,7,2,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,3,6,1,5,4,2]=>[7,3,6,1,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[7,3,6,2,1,4,5]=>[3,2,1,7,6,4,5]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[7,3,6,2,1,5,4]=>[7,3,2,6,5,1,4]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[7,3,6,2,4,1,5]=>[3,2,4,7,6,1,5]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[7,3,6,2,4,5,1]=>[3,2,4,7,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[7,3,6,2,5,1,4]=>[3,2,1,7,6,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[7,3,6,2,5,4,1]=>[7,3,2,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[7,3,6,4,1,2,5]=>[1,3,7,4,6,2,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,3,6,4,1,5,2]=>[3,7,4,6,5,1,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[7,3,6,4,2,1,5]=>[3,7,4,6,2,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[7,3,6,4,2,5,1]=>[3,7,4,6,2,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[7,3,6,4,5,1,2]=>[1,3,7,4,6,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[7,3,6,4,5,2,1]=>[3,7,4,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[7,3,6,5,1,2,4]=>[1,3,7,2,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,3,6,5,1,4,2]=>[3,7,6,1,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[7,3,6,5,2,1,4]=>[3,7,2,6,5,1,4]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[7,3,6,5,2,4,1]=>[3,7,2,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[7,3,6,5,4,1,2]=>[1,7,6,3,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[7,3,6,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[3,4]
[7,4,1,2,3,5,6]=>[1,2,4,3,7,5,6]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[7,4,1,2,3,6,5]=>[7,1,2,4,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,4,1,2,5,3,6]=>[4,1,5,7,2,3,6]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[7,4,1,2,5,6,3]=>[4,1,7,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[7,4,1,2,6,3,5]=>[4,1,2,7,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,4,1,2,6,5,3]=>[7,4,1,6,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,4,1,3,2,5,6]=>[1,4,7,3,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,4,1,3,2,6,5]=>[7,1,6,4,3,2,5]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[7,4,1,3,5,2,6]=>[4,1,3,7,5,2,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,4,1,3,5,6,2]=>[4,1,3,7,5,6,2]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,4,1,3,6,2,5]=>[4,1,3,7,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[7,4,1,3,6,5,2]=>[7,4,1,6,3,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[7,4,1,5,2,3,6]=>[1,4,5,7,2,3,6]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[7,4,1,5,2,6,3]=>[4,5,7,6,1,2,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[7,4,1,5,3,2,6]=>[4,5,7,3,1,2,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[7,4,1,5,3,6,2]=>[4,5,7,3,1,6,2]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[7,4,1,5,6,2,3]=>[1,4,7,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[7,4,1,5,6,3,2]=>[4,7,5,1,6,3,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[7,4,1,6,2,3,5]=>[1,4,2,7,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,4,1,6,2,5,3]=>[4,7,1,6,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,4,1,6,3,2,5]=>[4,3,7,6,1,2,5]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[7,4,1,6,3,5,2]=>[4,7,1,6,3,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[7,4,1,6,5,2,3]=>[1,7,4,6,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,4,1,6,5,3,2]=>[7,4,6,5,3,1,2]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[7,4,2,1,3,5,6]=>[2,4,1,7,3,5,6]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[7,4,2,1,3,6,5]=>[7,2,4,6,1,3,5]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[7,4,2,1,5,3,6]=>[4,5,7,2,1,3,6]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[7,4,2,1,5,6,3]=>[4,7,2,5,1,6,3]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[7,4,2,1,6,3,5]=>[4,2,7,6,1,3,5]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[7,4,2,1,6,5,3]=>[7,4,6,5,2,1,3]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[7,4,2,3,1,5,6]=>[2,4,3,7,1,5,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[7,4,2,3,1,6,5]=>[7,2,4,6,3,1,5]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[7,4,2,3,5,1,6]=>[2,4,3,7,5,1,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[7,4,2,3,5,6,1]=>[2,4,3,7,5,6,1]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[7,4,2,3,6,1,5]=>[2,4,3,7,1,6,5]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[7,4,2,3,6,5,1]=>[7,2,4,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[7,4,2,5,1,3,6]=>[2,4,1,7,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[7,4,2,5,1,6,3]=>[4,7,2,5,6,1,3]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[7,4,2,5,3,1,6]=>[4,5,7,2,3,1,6]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[7,4,2,5,3,6,1]=>[4,5,7,2,3,6,1]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[7,4,2,5,6,1,3]=>[2,4,1,7,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[7,4,2,5,6,3,1]=>[4,7,2,5,6,3,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[7,4,2,6,1,3,5]=>[2,4,1,7,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[7,4,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[7,4,2,6,3,1,5]=>[4,2,7,6,3,1,5]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[7,4,2,6,3,5,1]=>[4,2,7,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[7,4,2,6,5,1,3]=>[2,7,4,6,1,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[7,4,2,6,5,3,1]=>[7,4,6,5,2,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[7,4,3,1,2,5,6]=>[1,4,3,7,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,4,3,1,2,6,5]=>[7,1,4,6,3,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[7,4,3,1,5,2,6]=>[4,3,7,5,1,2,6]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[7,4,3,1,5,6,2]=>[4,3,7,5,1,6,2]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[7,4,3,1,6,2,5]=>[4,3,7,1,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[7,4,3,1,6,5,2]=>[7,4,6,3,5,1,2]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[7,4,3,2,1,5,6]=>[4,3,7,2,1,5,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[7,4,3,2,1,6,5]=>[7,4,6,3,2,1,5]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[7,4,3,2,5,1,6]=>[4,3,7,2,5,1,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[7,4,3,2,5,6,1]=>[4,3,7,2,5,6,1]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[7,4,3,2,6,1,5]=>[4,3,7,2,1,6,5]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[7,4,3,2,6,5,1]=>[7,4,6,3,2,5,1]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[7,4,3,5,1,2,6]=>[1,4,3,7,5,2,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,4,3,5,1,6,2]=>[4,3,7,5,6,1,2]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[7,4,3,5,2,1,6]=>[4,3,7,5,2,1,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[7,4,3,5,2,6,1]=>[4,3,7,5,2,6,1]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[7,4,3,5,6,1,2]=>[1,4,3,7,5,6,2]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,4,3,5,6,2,1]=>[4,3,7,5,6,2,1]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[7,4,3,6,1,2,5]=>[1,4,3,7,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[7,4,3,6,1,5,2]=>[4,3,7,6,1,5,2]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[7,4,3,6,2,1,5]=>[4,3,7,2,6,1,5]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[7,4,3,6,2,5,1]=>[4,3,7,2,6,5,1]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[7,4,3,6,5,1,2]=>[1,7,4,6,3,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[7,4,3,6,5,2,1]=>[7,4,6,3,5,2,1]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[7,4,5,1,2,3,6]=>[1,2,4,5,7,3,6]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[7,4,5,1,2,6,3]=>[4,1,5,7,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[7,4,5,1,3,2,6]=>[4,1,5,7,3,2,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[7,4,5,1,3,6,2]=>[4,1,5,7,3,6,2]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[7,4,5,1,6,2,3]=>[1,4,5,7,6,2,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[7,4,5,1,6,3,2]=>[4,5,7,6,3,1,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[7,4,5,2,1,3,6]=>[2,4,5,7,1,3,6]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[7,4,5,2,1,6,3]=>[4,5,7,6,2,1,3]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[7,4,5,2,3,1,6]=>[2,4,5,7,3,1,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[7,4,5,2,3,6,1]=>[2,4,5,7,3,6,1]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[7,4,5,2,6,1,3]=>[2,4,5,7,1,6,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[7,4,5,2,6,3,1]=>[4,5,7,6,2,3,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[7,4,5,3,1,2,6]=>[1,4,5,7,3,2,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,4,5,3,1,6,2]=>[4,5,7,3,6,1,2]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[7,4,5,3,2,1,6]=>[4,5,7,3,2,1,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[7,4,5,3,2,6,1]=>[4,5,7,3,2,6,1]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[7,4,5,3,6,1,2]=>[1,4,5,7,3,6,2]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,4,5,3,6,2,1]=>[4,5,7,3,6,2,1]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[7,4,5,6,1,2,3]=>[1,2,4,5,7,6,3]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[7,4,5,6,1,3,2]=>[4,1,5,7,6,3,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[7,4,5,6,2,1,3]=>[2,4,5,7,6,1,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[7,4,5,6,2,3,1]=>[2,4,5,7,6,3,1]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[7,4,5,6,3,1,2]=>[1,4,5,7,6,3,2]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[7,4,5,6,3,2,1]=>[4,5,7,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[7,4,6,1,2,3,5]=>[1,2,4,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,4,6,1,2,5,3]=>[4,1,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,4,6,1,3,2,5]=>[4,1,3,7,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[7,4,6,1,3,5,2]=>[4,1,3,7,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[7,4,6,1,5,2,3]=>[1,4,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,4,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[7,4,6,2,1,3,5]=>[2,4,1,7,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[7,4,6,2,1,5,3]=>[4,7,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[7,4,6,2,3,1,5]=>[2,4,3,7,6,1,5]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[7,4,6,2,3,5,1]=>[2,4,3,7,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[7,4,6,2,5,1,3]=>[2,4,1,7,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[7,4,6,2,5,3,1]=>[4,7,2,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[7,4,6,3,1,2,5]=>[1,4,3,7,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[7,4,6,3,1,5,2]=>[4,3,7,6,5,1,2]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[7,4,6,3,2,1,5]=>[4,3,7,6,2,1,5]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[7,4,6,3,2,5,1]=>[4,3,7,6,2,5,1]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[7,4,6,3,5,1,2]=>[1,4,3,7,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[7,4,6,3,5,2,1]=>[4,3,7,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[7,4,6,5,1,2,3]=>[1,2,7,4,6,5,3]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[7,4,6,5,1,3,2]=>[7,1,4,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[7,4,6,5,2,1,3]=>[2,7,4,6,5,1,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[7,4,6,5,2,3,1]=>[2,7,4,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[7,4,6,5,3,1,2]=>[1,7,4,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[7,4,6,5,3,2,1]=>[7,4,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[4,3]
[7,5,1,2,3,4,6]=>[1,2,3,5,7,4,6]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[7,5,1,2,3,6,4]=>[5,1,2,7,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,5,1,2,4,3,6]=>[1,7,2,5,4,3,6]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[7,5,1,2,4,6,3]=>[5,1,2,7,4,6,3]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[7,5,1,2,6,3,4]=>[1,5,2,7,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,5,1,2,6,4,3]=>[5,7,1,6,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[7,5,1,3,2,4,6]=>[1,3,7,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,5,1,3,2,6,4]=>[7,1,5,6,3,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[7,5,1,3,4,2,6]=>[3,1,5,7,4,2,6]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[7,5,1,3,4,6,2]=>[3,1,5,7,4,6,2]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[7,5,1,3,6,2,4]=>[1,5,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[7,5,1,3,6,4,2]=>[5,7,1,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[7,5,1,4,2,3,6]=>[1,2,7,5,4,3,6]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[7,5,1,4,2,6,3]=>[7,1,5,4,6,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[7,5,1,4,3,2,6]=>[5,7,1,4,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[7,5,1,4,3,6,2]=>[7,1,5,4,3,6,2]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[7,5,1,4,6,2,3]=>[1,5,2,7,4,6,3]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[7,5,1,4,6,3,2]=>[5,7,1,4,6,3,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[7,5,1,6,2,3,4]=>[1,2,5,7,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,5,1,6,2,4,3]=>[5,1,7,6,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[7,5,1,6,3,2,4]=>[3,5,7,6,1,2,4]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[7,5,1,6,3,4,2]=>[5,1,7,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[7,5,1,6,4,2,3]=>[1,5,7,6,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[7,5,1,6,4,3,2]=>[5,7,6,4,3,1,2]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[7,5,2,1,3,4,6]=>[2,1,5,7,3,4,6]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[7,5,2,1,3,6,4]=>[5,2,7,6,1,3,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[7,5,2,1,4,3,6]=>[2,7,5,4,1,3,6]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[7,5,2,1,4,6,3]=>[5,2,7,4,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[7,5,2,1,6,3,4]=>[2,5,7,6,1,3,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[7,5,2,1,6,4,3]=>[5,7,6,4,2,1,3]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[7,5,2,3,1,4,6]=>[2,3,5,7,1,4,6]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[7,5,2,3,1,6,4]=>[5,2,7,6,3,1,4]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[7,5,2,3,4,1,6]=>[2,3,5,7,4,1,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[7,5,2,3,4,6,1]=>[2,3,5,7,4,6,1]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[7,5,2,3,6,1,4]=>[2,3,5,7,1,6,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[7,5,2,3,6,4,1]=>[5,2,7,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[7,5,2,4,1,3,6]=>[2,1,5,7,4,3,6]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[7,5,2,4,1,6,3]=>[5,2,7,4,6,1,3]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[7,5,2,4,3,1,6]=>[2,7,5,4,3,1,6]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[7,5,2,4,3,6,1]=>[2,7,5,4,3,6,1]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[7,5,2,4,6,1,3]=>[2,1,5,7,4,6,3]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[7,5,2,4,6,3,1]=>[5,2,7,4,6,3,1]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[7,5,2,6,1,3,4]=>[2,1,5,7,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[7,5,2,6,1,4,3]=>[5,2,7,6,1,4,3]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[7,5,2,6,3,1,4]=>[2,5,7,6,3,1,4]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[7,5,2,6,3,4,1]=>[2,5,7,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[7,5,2,6,4,1,3]=>[2,5,7,6,1,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[7,5,2,6,4,3,1]=>[5,7,6,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[7,5,3,1,2,4,6]=>[1,3,5,7,2,4,6]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[7,5,3,1,2,6,4]=>[5,1,7,6,3,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[7,5,3,1,4,2,6]=>[3,5,7,4,1,2,6]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[7,5,3,1,4,6,2]=>[3,5,7,4,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[7,5,3,1,6,2,4]=>[3,5,7,1,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[7,5,3,1,6,4,2]=>[5,7,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[7,5,3,2,1,4,6]=>[3,5,7,2,1,4,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[7,5,3,2,1,6,4]=>[5,7,6,3,2,1,4]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[7,5,3,2,4,1,6]=>[3,5,7,2,4,1,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[7,5,3,2,4,6,1]=>[3,5,7,2,4,6,1]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[7,5,3,2,6,1,4]=>[3,5,7,2,1,6,4]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[7,5,3,2,6,4,1]=>[5,7,6,3,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[7,5,3,4,1,2,6]=>[1,3,5,7,4,2,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[7,5,3,4,1,6,2]=>[3,5,7,4,6,1,2]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[7,5,3,4,2,1,6]=>[3,5,7,4,2,1,6]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[7,5,3,4,2,6,1]=>[3,5,7,4,2,6,1]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[7,5,3,4,6,1,2]=>[1,3,5,7,4,6,2]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[7,5,3,4,6,2,1]=>[3,5,7,4,6,2,1]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[7,5,3,6,1,2,4]=>[1,3,5,7,2,6,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,5,3,6,1,4,2]=>[3,5,7,6,1,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[7,5,3,6,2,1,4]=>[3,5,7,2,6,1,4]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[7,5,3,6,2,4,1]=>[3,5,7,2,6,4,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[7,5,3,6,4,1,2]=>[1,5,7,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[7,5,3,6,4,2,1]=>[5,7,6,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[7,5,4,1,2,3,6]=>[1,2,5,7,4,3,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[7,5,4,1,2,6,3]=>[5,1,7,4,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[7,5,4,1,3,2,6]=>[1,7,5,4,3,2,6]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[7,5,4,1,3,6,2]=>[5,1,7,4,3,6,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[7,5,4,1,6,2,3]=>[1,5,7,4,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[7,5,4,1,6,3,2]=>[5,7,4,6,3,1,2]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[7,5,4,2,1,3,6]=>[2,5,7,4,1,3,6]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[7,5,4,2,1,6,3]=>[5,7,4,6,2,1,3]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[7,5,4,2,3,1,6]=>[2,5,7,4,3,1,6]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[7,5,4,2,3,6,1]=>[2,5,7,4,3,6,1]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[7,5,4,2,6,1,3]=>[2,5,7,4,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[7,5,4,2,6,3,1]=>[5,7,4,6,2,3,1]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[7,5,4,3,1,2,6]=>[1,5,7,4,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[7,5,4,3,1,6,2]=>[5,7,4,3,6,1,2]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[7,5,4,3,2,1,6]=>[5,7,4,3,2,1,6]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[7,5,4,3,2,6,1]=>[5,7,4,3,2,6,1]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[7,5,4,3,6,1,2]=>[1,5,7,4,3,6,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[7,5,4,3,6,2,1]=>[5,7,4,3,6,2,1]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[7,5,4,6,1,2,3]=>[1,2,5,7,4,6,3]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[7,5,4,6,1,3,2]=>[5,1,7,4,6,3,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[7,5,4,6,2,1,3]=>[2,5,7,4,6,1,3]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[7,5,4,6,2,3,1]=>[2,5,7,4,6,3,1]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[7,5,4,6,3,1,2]=>[1,5,7,4,6,3,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[7,5,4,6,3,2,1]=>[5,7,4,6,3,2,1]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[7,5,6,1,2,3,4]=>[1,2,3,5,7,6,4]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[7,5,6,1,2,4,3]=>[5,1,2,7,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[7,5,6,1,3,2,4]=>[1,5,3,7,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[7,5,6,1,3,4,2]=>[3,1,5,7,6,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[7,5,6,1,4,2,3]=>[1,5,2,7,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[7,5,6,1,4,3,2]=>[5,7,1,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[7,5,6,2,1,3,4]=>[2,1,5,7,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[7,5,6,2,1,4,3]=>[5,2,7,6,4,1,3]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[7,5,6,2,3,1,4]=>[2,3,5,7,6,1,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[7,5,6,2,3,4,1]=>[2,3,5,7,6,4,1]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[7,5,6,2,4,1,3]=>[2,1,5,7,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[7,5,6,2,4,3,1]=>[5,2,7,6,4,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[7,5,6,3,1,2,4]=>[1,3,5,7,6,2,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,5,6,3,1,4,2]=>[3,5,7,6,4,1,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[7,5,6,3,2,1,4]=>[3,5,7,6,2,1,4]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[7,5,6,3,2,4,1]=>[3,5,7,6,2,4,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[7,5,6,3,4,1,2]=>[1,3,5,7,6,4,2]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[7,5,6,3,4,2,1]=>[3,5,7,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[7,5,6,4,1,2,3]=>[1,2,5,7,6,4,3]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[7,5,6,4,1,3,2]=>[5,1,7,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[7,5,6,4,2,1,3]=>[2,5,7,6,4,1,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[7,5,6,4,2,3,1]=>[2,5,7,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[7,5,6,4,3,1,2]=>[1,5,7,6,4,3,2]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[7,5,6,4,3,2,1]=>[5,7,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[5,2]
[7,6,1,2,3,4,5]=>[1,2,3,4,7,6,5]=>[[1,2,3,4,5],[6],[7]]=>[7]
[7,6,1,2,3,5,4]=>[7,1,2,3,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[7,6,1,2,4,3,5]=>[1,7,2,4,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,6,1,2,4,5,3]=>[4,1,2,7,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,6,1,2,5,3,4]=>[1,7,2,3,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[7,6,1,2,5,4,3]=>[7,6,1,2,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[7,6,1,3,2,4,5]=>[1,3,7,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,6,1,3,2,5,4]=>[7,1,6,3,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,6,1,3,4,2,5]=>[3,1,4,7,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[7,6,1,3,4,5,2]=>[3,1,4,7,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[7,6,1,3,5,2,4]=>[3,1,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,6,1,3,5,4,2]=>[7,3,1,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[7,6,1,4,2,3,5]=>[1,2,7,4,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,6,1,4,2,5,3]=>[7,1,4,6,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,6,1,4,3,2,5]=>[1,7,6,4,3,2,5]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[7,6,1,4,3,5,2]=>[7,1,4,6,3,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[7,6,1,4,5,2,3]=>[1,4,2,7,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,6,1,4,5,3,2]=>[4,7,1,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[7,6,1,5,2,3,4]=>[1,2,7,3,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[7,6,1,5,2,4,3]=>[7,1,6,2,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[7,6,1,5,3,2,4]=>[1,7,6,3,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,6,1,5,3,4,2]=>[7,1,3,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[7,6,1,5,4,2,3]=>[1,7,6,2,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[7,6,1,5,4,3,2]=>[7,6,5,1,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[7]
[7,6,2,1,3,4,5]=>[2,1,3,7,6,4,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[7,6,2,1,3,5,4]=>[7,2,1,6,5,3,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[7,6,2,1,4,3,5]=>[2,7,4,6,1,3,5]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[7,6,2,1,4,5,3]=>[7,2,1,6,4,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[7,6,2,1,5,3,4]=>[2,7,1,6,5,3,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[7,6,2,1,5,4,3]=>[7,6,2,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[7,6,2,3,1,4,5]=>[2,3,1,7,6,4,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[7,6,2,3,1,5,4]=>[7,2,3,6,5,1,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[7,6,2,3,4,1,5]=>[2,3,4,7,6,1,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[7,6,2,3,4,5,1]=>[2,3,4,7,6,5,1]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[7,6,2,3,5,1,4]=>[2,3,1,7,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[7,6,2,3,5,4,1]=>[7,2,3,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[7,6,2,4,1,3,5]=>[2,1,4,7,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[7,6,2,4,1,5,3]=>[4,2,7,6,5,1,3]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[7,6,2,4,3,1,5]=>[2,7,4,6,3,1,5]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[7,6,2,4,3,5,1]=>[2,7,4,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[7,6,2,4,5,1,3]=>[2,1,4,7,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[7,6,2,4,5,3,1]=>[4,2,7,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[7,6,2,5,1,3,4]=>[2,1,3,7,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[7,6,2,5,1,4,3]=>[7,2,1,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[7,6,2,5,3,1,4]=>[2,7,3,6,5,1,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[7,6,2,5,3,4,1]=>[2,7,3,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[7,6,2,5,4,1,3]=>[2,7,1,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[7,6,2,5,4,3,1]=>[7,6,2,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7]]=>[2,5]
[7,6,3,1,2,4,5]=>[1,3,2,7,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,6,3,1,2,5,4]=>[7,1,3,6,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,6,3,1,4,2,5]=>[3,4,7,6,1,2,5]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[7,6,3,1,4,5,2]=>[3,7,1,6,4,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[7,6,3,1,5,2,4]=>[3,1,7,6,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,6,3,1,5,4,2]=>[7,3,6,5,4,1,2]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[7,6,3,2,1,4,5]=>[3,2,7,6,1,4,5]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[7,6,3,2,1,5,4]=>[7,3,6,5,2,1,4]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[7,6,3,2,4,1,5]=>[3,2,7,6,4,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[7,6,3,2,4,5,1]=>[3,2,7,6,4,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[7,6,3,2,5,1,4]=>[3,2,7,6,1,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[7,6,3,2,5,4,1]=>[7,3,6,5,2,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[7,6,3,4,1,2,5]=>[1,3,4,7,6,2,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,6,3,4,1,5,2]=>[3,4,7,6,5,1,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[7,6,3,4,2,1,5]=>[3,4,7,6,2,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[7,6,3,4,2,5,1]=>[3,4,7,6,2,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[7,6,3,4,5,1,2]=>[1,3,4,7,6,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[7,6,3,5,1,2,4]=>[1,3,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,6,3,5,1,4,2]=>[3,7,1,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[7,6,3,5,2,1,4]=>[3,2,7,6,5,1,4]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[7,6,3,5,2,4,1]=>[3,2,7,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[7,6,3,5,4,1,2]=>[1,7,3,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[7,6,3,5,4,2,1]=>[7,3,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[3,4]
[7,6,4,1,2,3,5]=>[1,2,4,7,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,6,4,1,2,5,3]=>[4,1,7,6,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,6,4,1,3,2,5]=>[1,7,4,6,3,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[7,6,4,1,3,5,2]=>[4,1,7,6,3,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[7,6,4,1,5,2,3]=>[1,4,7,6,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,6,4,1,5,3,2]=>[4,7,6,5,3,1,2]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[7,6,4,2,1,3,5]=>[2,4,7,6,1,3,5]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[7,6,4,2,1,5,3]=>[4,7,6,5,2,1,3]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[7,6,4,2,3,1,5]=>[2,4,7,6,3,1,5]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[7,6,4,2,3,5,1]=>[2,4,7,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[7,6,4,2,5,1,3]=>[2,4,7,6,1,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[7,6,4,2,5,3,1]=>[4,7,6,5,2,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[7,6,4,3,1,2,5]=>[1,4,7,6,3,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[7,6,4,3,1,5,2]=>[4,7,6,3,5,1,2]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[7,6,4,3,2,1,5]=>[4,7,6,3,2,1,5]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[7,6,4,3,2,5,1]=>[4,7,6,3,2,5,1]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[7,6,4,3,5,1,2]=>[1,4,7,6,3,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[7,6,4,3,5,2,1]=>[4,7,6,3,5,2,1]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[7,6,4,5,1,2,3]=>[1,2,4,7,6,5,3]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[7,6,4,5,1,3,2]=>[4,1,7,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[7,6,4,5,2,1,3]=>[2,4,7,6,5,1,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[7,6,4,5,2,3,1]=>[2,4,7,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[7,6,4,5,3,1,2]=>[1,4,7,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[7,6,4,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[4,3]
[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[7,6,5,1,2,4,3]=>[7,1,2,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[7,6,5,1,3,2,4]=>[1,7,3,6,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,6,5,1,3,4,2]=>[3,1,7,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[7,6,5,1,4,2,3]=>[1,7,2,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[7,6,5,1,4,3,2]=>[7,6,1,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[7]
[7,6,5,2,1,3,4]=>[2,1,7,6,5,3,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[7,6,5,2,1,4,3]=>[7,2,6,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[7,6,5,2,3,1,4]=>[2,3,7,6,5,1,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[7,6,5,2,3,4,1]=>[2,3,7,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[7,6,5,2,4,1,3]=>[2,1,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[7,6,5,2,4,3,1]=>[7,2,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7]]=>[2,5]
[7,6,5,3,1,2,4]=>[1,3,7,6,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,6,5,3,1,4,2]=>[3,7,6,5,4,1,2]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[7,6,5,3,2,1,4]=>[3,7,6,5,2,1,4]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[7,6,5,3,2,4,1]=>[3,7,6,5,2,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[7,6,5,3,4,1,2]=>[1,3,7,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[7,6,5,3,4,2,1]=>[3,7,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[3,4]
[7,6,5,4,1,2,3]=>[1,2,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[7,6,5,4,1,3,2]=>[7,1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[7]
[7,6,5,4,2,1,3]=>[2,7,6,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[7,6,5,4,2,3,1]=>[2,7,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7]]=>[2,5]
[7,6,5,4,3,1,2]=>[1,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[7]
[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>[7]
[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>[8]
[7,8,6,5,4,3,2,1]=>[7,8,6,5,4,3,2,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[7,1]
[8,6,7,5,4,3,2,1]=>[6,8,7,5,4,3,2,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[6,2]
[7,6,8,5,4,3,2,1]=>[7,6,8,5,4,3,2,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[7,1]
[6,7,8,5,4,3,2,1]=>[6,7,8,5,4,3,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[8,7,5,6,4,3,2,1]=>[5,8,7,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[5,3]
[7,8,5,6,4,3,2,1]=>[5,7,8,6,4,3,2,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[8,6,5,7,4,3,2,1]=>[6,8,5,7,4,3,2,1]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[8,5,6,7,4,3,2,1]=>[5,6,8,7,4,3,2,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[5,3]
[7,6,5,8,4,3,2,1]=>[7,6,5,8,4,3,2,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[7,1]
[6,7,5,8,4,3,2,1]=>[6,7,5,8,4,3,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[7,5,6,8,4,3,2,1]=>[5,7,6,8,4,3,2,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[6,5,7,8,4,3,2,1]=>[6,5,7,8,4,3,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[5,6,7,8,4,3,2,1]=>[5,6,7,8,4,3,2,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[4,4]
[7,8,6,4,5,3,2,1]=>[4,7,8,6,5,3,2,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[8,6,7,4,5,3,2,1]=>[4,6,8,7,5,3,2,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[7,6,8,4,5,3,2,1]=>[4,7,6,8,5,3,2,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[7,8,5,4,6,3,2,1]=>[5,7,8,4,6,3,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[8,7,4,5,6,3,2,1]=>[4,5,8,7,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[8,6,5,4,7,3,2,1]=>[6,8,5,4,7,3,2,1]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[8,5,6,4,7,3,2,1]=>[5,6,8,4,7,3,2,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[8,4,5,6,7,3,2,1]=>[4,5,6,8,7,3,2,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[7,6,5,4,8,3,2,1]=>[7,6,5,4,8,3,2,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[7,1]
[6,7,5,4,8,3,2,1]=>[6,7,5,4,8,3,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[7,5,6,4,8,3,2,1]=>[5,7,6,4,8,3,2,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[6,5,7,4,8,3,2,1]=>[6,5,7,4,8,3,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[5,6,7,4,8,3,2,1]=>[5,6,7,4,8,3,2,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[7,6,4,5,8,3,2,1]=>[4,7,6,5,8,3,2,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[6,7,4,5,8,3,2,1]=>[4,6,7,5,8,3,2,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[7,5,4,6,8,3,2,1]=>[5,7,4,6,8,3,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[7,4,5,6,8,3,2,1]=>[4,5,7,6,8,3,2,1]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[6,5,4,7,8,3,2,1]=>[6,5,4,7,8,3,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[5,6,4,7,8,3,2,1]=>[5,6,4,7,8,3,2,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[6,4,5,7,8,3,2,1]=>[4,6,5,7,8,3,2,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[5,4,6,7,8,3,2,1]=>[5,4,6,7,8,3,2,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[4,5,6,7,8,3,2,1]=>[4,5,6,7,8,3,2,1]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[8,7,6,5,3,4,2,1]=>[3,8,7,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>[3,5]
[7,8,6,5,3,4,2,1]=>[3,7,8,6,5,4,2,1]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[8,6,7,5,3,4,2,1]=>[3,6,8,7,5,4,2,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[3,3,2]
[7,6,8,5,3,4,2,1]=>[3,7,6,8,5,4,2,1]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[8,7,5,6,3,4,2,1]=>[3,5,8,7,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[7,8,5,6,3,4,2,1]=>[3,5,7,8,6,4,2,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[8,6,5,7,3,4,2,1]=>[3,6,8,5,7,4,2,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[8,5,6,7,3,4,2,1]=>[3,5,6,8,7,4,2,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[7,6,5,8,3,4,2,1]=>[3,7,6,5,8,4,2,1]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[7,5,6,8,3,4,2,1]=>[3,5,7,6,8,4,2,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[5,6,7,8,3,4,2,1]=>[3,5,6,7,8,4,2,1]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[8,7,6,4,3,5,2,1]=>[4,8,7,6,3,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[6,7,8,3,4,5,2,1]=>[3,4,6,7,8,5,2,1]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[8,7,5,4,3,6,2,1]=>[5,8,7,4,3,6,2,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[7,8,5,4,3,6,2,1]=>[5,7,8,4,3,6,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[8,7,4,5,3,6,2,1]=>[4,5,8,7,3,6,2,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[7,8,5,3,4,6,2,1]=>[3,5,7,8,4,6,2,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[8,7,4,3,5,6,2,1]=>[4,3,8,7,5,6,2,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[7,8,4,3,5,6,2,1]=>[4,3,7,8,5,6,2,1]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[7,8,3,4,5,6,2,1]=>[3,4,5,7,8,6,2,1]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[8,6,5,4,3,7,2,1]=>[6,8,5,4,3,7,2,1]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[8,6,4,5,3,7,2,1]=>[4,6,8,5,3,7,2,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[8,5,6,3,4,7,2,1]=>[3,5,6,8,4,7,2,1]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[8,6,4,3,5,7,2,1]=>[4,6,8,3,5,7,2,1]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[8,3,4,5,6,7,2,1]=>[3,4,5,6,8,7,2,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[7,6,5,4,3,8,2,1]=>[7,6,5,4,3,8,2,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[7,1]
[6,7,5,4,3,8,2,1]=>[6,7,5,4,3,8,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[7,5,6,4,3,8,2,1]=>[5,7,6,4,3,8,2,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[6,5,7,4,3,8,2,1]=>[6,5,7,4,3,8,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[5,6,7,4,3,8,2,1]=>[5,6,7,4,3,8,2,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[7,5,4,6,3,8,2,1]=>[5,7,4,6,3,8,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[6,5,4,7,3,8,2,1]=>[6,5,4,7,3,8,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[5,4,6,7,3,8,2,1]=>[5,4,6,7,3,8,2,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[4,5,6,7,3,8,2,1]=>[4,5,6,7,3,8,2,1]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[7,6,5,3,4,8,2,1]=>[3,7,6,5,4,8,2,1]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[5,6,7,3,4,8,2,1]=>[3,5,6,7,4,8,2,1]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[7,6,4,3,5,8,2,1]=>[4,7,6,3,5,8,2,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[7,6,3,4,5,8,2,1]=>[3,4,7,6,5,8,2,1]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[7,4,5,3,6,8,2,1]=>[4,5,7,3,6,8,2,1]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[7,5,3,4,6,8,2,1]=>[3,5,7,4,6,8,2,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[7,3,4,5,6,8,2,1]=>[3,4,5,7,6,8,2,1]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[6,5,4,3,7,8,2,1]=>[6,5,4,3,7,8,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[6,5,3,4,7,8,2,1]=>[3,6,5,4,7,8,2,1]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[6,4,3,5,7,8,2,1]=>[4,6,3,5,7,8,2,1]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[6,3,4,5,7,8,2,1]=>[3,4,6,5,7,8,2,1]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[5,4,3,6,7,8,2,1]=>[5,4,3,6,7,8,2,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[5,3,4,6,7,8,2,1]=>[3,5,4,6,7,8,2,1]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[4,3,5,6,7,8,2,1]=>[4,3,5,6,7,8,2,1]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[3,4,5,6,7,8,2,1]=>[3,4,5,6,7,8,2,1]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[8,7,6,5,4,2,3,1]=>[2,8,7,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>[2,6]
[7,8,6,5,4,2,3,1]=>[2,7,8,6,5,4,3,1]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[8,6,7,5,4,2,3,1]=>[2,6,8,7,5,4,3,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[7,6,8,5,4,2,3,1]=>[2,7,6,8,5,4,3,1]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[8,7,5,6,4,2,3,1]=>[2,5,8,7,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[2,3,3]
[8,6,5,7,4,2,3,1]=>[2,6,8,5,7,4,3,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[6,7,5,8,4,2,3,1]=>[2,6,7,5,8,4,3,1]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[5,6,7,8,4,2,3,1]=>[2,5,6,7,8,4,3,1]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[8,7,6,4,5,2,3,1]=>[2,4,8,7,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[7,8,6,4,5,2,3,1]=>[2,4,7,8,6,5,3,1]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[8,6,7,4,5,2,3,1]=>[2,4,6,8,7,5,3,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[6,7,8,4,5,2,3,1]=>[2,4,6,7,8,5,3,1]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[8,7,5,4,6,2,3,1]=>[2,5,8,7,4,6,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[7,8,4,5,6,2,3,1]=>[2,4,5,7,8,6,3,1]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[8,6,5,4,7,2,3,1]=>[2,6,8,5,4,7,3,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[8,6,4,5,7,2,3,1]=>[2,4,6,8,5,7,3,1]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[8,4,5,6,7,2,3,1]=>[2,4,5,6,8,7,3,1]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[7,6,5,4,8,2,3,1]=>[2,7,6,5,4,8,3,1]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[5,6,7,4,8,2,3,1]=>[2,5,6,7,4,8,3,1]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[6,7,4,5,8,2,3,1]=>[2,4,6,7,5,8,3,1]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[7,5,4,6,8,2,3,1]=>[2,5,7,4,6,8,3,1]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[6,5,4,7,8,2,3,1]=>[2,6,5,4,7,8,3,1]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[5,6,4,7,8,2,3,1]=>[2,5,6,4,7,8,3,1]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[6,4,5,7,8,2,3,1]=>[2,4,6,5,7,8,3,1]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[5,4,6,7,8,2,3,1]=>[2,5,4,6,7,8,3,1]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[4,5,6,7,8,2,3,1]=>[2,4,5,6,7,8,3,1]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[8,7,6,5,3,2,4,1]=>[3,8,7,6,5,2,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[7,8,6,5,3,2,4,1]=>[3,7,8,6,5,2,4,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[8,6,7,5,3,2,4,1]=>[3,6,8,7,5,2,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[7,6,8,5,3,2,4,1]=>[3,7,6,8,5,2,4,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[6,7,8,5,3,2,4,1]=>[3,6,7,8,5,2,4,1]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[7,8,5,6,3,2,4,1]=>[3,5,7,8,6,2,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[8,6,5,7,3,2,4,1]=>[3,6,8,5,7,2,4,1]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[8,5,6,7,3,2,4,1]=>[3,5,6,8,7,2,4,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[7,6,5,8,3,2,4,1]=>[3,7,6,5,8,2,4,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[6,7,5,8,3,2,4,1]=>[3,6,7,5,8,2,4,1]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[7,5,6,8,3,2,4,1]=>[3,5,7,6,8,2,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[6,5,7,8,3,2,4,1]=>[3,6,5,7,8,2,4,1]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[5,6,7,8,3,2,4,1]=>[3,5,6,7,8,2,4,1]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[8,7,6,5,2,3,4,1]=>[2,3,8,7,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[6,7,8,5,2,3,4,1]=>[2,3,6,7,8,5,4,1]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[7,8,5,6,2,3,4,1]=>[2,3,5,7,8,6,4,1]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[8,5,6,7,2,3,4,1]=>[2,3,5,6,8,7,4,1]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[7,6,5,8,2,3,4,1]=>[2,3,7,6,5,8,4,1]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[5,6,7,8,2,3,4,1]=>[2,3,5,6,7,8,4,1]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[8,7,6,4,3,2,5,1]=>[4,8,7,6,3,2,5,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[7,6,8,4,3,2,5,1]=>[4,7,6,8,3,2,5,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[7,8,6,3,4,2,5,1]=>[3,4,7,8,6,2,5,1]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[8,6,7,3,4,2,5,1]=>[3,4,6,8,7,2,5,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[7,6,8,3,4,2,5,1]=>[3,4,7,6,8,2,5,1]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[6,7,8,3,4,2,5,1]=>[3,4,6,7,8,2,5,1]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[8,7,6,4,2,3,5,1]=>[2,4,8,7,6,3,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[8,6,7,4,2,3,5,1]=>[2,4,6,8,7,3,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[7,6,8,4,2,3,5,1]=>[2,4,7,6,8,3,5,1]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[6,7,8,4,2,3,5,1]=>[2,4,6,7,8,3,5,1]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[7,8,6,3,2,4,5,1]=>[3,2,7,8,6,4,5,1]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[8,6,7,3,2,4,5,1]=>[3,2,6,8,7,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[8,7,6,2,3,4,5,1]=>[2,3,4,8,7,6,5,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[7,8,6,2,3,4,5,1]=>[2,3,4,7,8,6,5,1]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[8,6,7,2,3,4,5,1]=>[2,3,4,6,8,7,5,1]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[7,6,8,2,3,4,5,1]=>[2,3,4,7,6,8,5,1]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[6,7,8,2,3,4,5,1]=>[2,3,4,6,7,8,5,1]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[7,8,5,4,3,2,6,1]=>[5,7,8,4,3,2,6,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[7,8,5,3,4,2,6,1]=>[3,5,7,8,4,2,6,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[8,7,4,3,5,2,6,1]=>[4,3,8,7,5,2,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[7,8,3,4,5,2,6,1]=>[3,4,5,7,8,2,6,1]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[8,7,5,4,2,3,6,1]=>[2,5,8,7,4,3,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[7,8,5,4,2,3,6,1]=>[2,5,7,8,4,3,6,1]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[8,7,5,3,2,4,6,1]=>[3,5,8,7,2,4,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[7,8,5,2,3,4,6,1]=>[2,3,5,7,8,4,6,1]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[7,8,4,2,3,5,6,1]=>[2,4,3,7,8,5,6,1]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[7,8,3,2,4,5,6,1]=>[3,2,4,7,8,5,6,1]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[8,7,2,3,4,5,6,1]=>[2,3,4,5,8,7,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[7,8,2,3,4,5,6,1]=>[2,3,4,5,7,8,6,1]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[8,6,5,4,3,2,7,1]=>[6,8,5,4,3,2,7,1]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[8,5,6,4,3,2,7,1]=>[5,6,8,4,3,2,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[8,6,4,5,3,2,7,1]=>[4,6,8,5,3,2,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[8,6,5,3,4,2,7,1]=>[3,6,8,5,4,2,7,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[8,5,6,3,4,2,7,1]=>[3,5,6,8,4,2,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[8,6,4,3,5,2,7,1]=>[4,6,8,3,5,2,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[8,5,4,3,6,2,7,1]=>[5,4,8,3,6,2,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[8,4,5,3,6,2,7,1]=>[4,5,3,8,6,2,7,1]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[8,5,3,4,6,2,7,1]=>[3,5,4,8,6,2,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[8,3,4,5,6,2,7,1]=>[3,4,5,6,8,2,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[8,6,5,4,2,3,7,1]=>[2,6,8,5,4,3,7,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[8,6,4,5,2,3,7,1]=>[2,4,6,8,5,3,7,1]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[8,6,5,3,2,4,7,1]=>[3,6,8,5,2,4,7,1]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[8,6,4,3,2,5,7,1]=>[4,6,8,3,2,5,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[8,6,4,2,3,5,7,1]=>[2,4,6,8,3,5,7,1]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[8,6,2,3,4,5,7,1]=>[2,3,4,6,8,5,7,1]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[8,5,4,3,2,6,7,1]=>[5,4,8,3,2,6,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[8,5,4,2,3,6,7,1]=>[2,5,4,8,3,6,7,1]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[8,4,5,2,3,6,7,1]=>[2,4,5,3,8,6,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[8,5,2,3,4,6,7,1]=>[2,3,5,4,8,6,7,1]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[8,4,3,2,5,6,7,1]=>[4,3,2,8,5,6,7,1]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[8,3,4,2,5,6,7,1]=>[3,4,2,5,8,6,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[8,4,2,3,5,6,7,1]=>[2,4,3,5,8,6,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[8,3,2,4,5,6,7,1]=>[3,2,4,5,8,6,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[8,2,3,4,5,6,7,1]=>[2,3,4,5,6,8,7,1]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[7,6,5,4,3,2,8,1]=>[7,6,5,4,3,2,8,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[7,1]
[6,7,5,4,3,2,8,1]=>[6,7,5,4,3,2,8,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[7,5,6,4,3,2,8,1]=>[5,7,6,4,3,2,8,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[6,5,7,4,3,2,8,1]=>[6,5,7,4,3,2,8,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[5,6,7,4,3,2,8,1]=>[5,6,7,4,3,2,8,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[7,6,4,5,3,2,8,1]=>[4,7,6,5,3,2,8,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[6,7,4,5,3,2,8,1]=>[4,6,7,5,3,2,8,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[6,5,4,7,3,2,8,1]=>[6,5,4,7,3,2,8,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[6,4,5,7,3,2,8,1]=>[4,6,5,7,3,2,8,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[4,5,6,7,3,2,8,1]=>[4,5,6,7,3,2,8,1]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[7,5,6,3,4,2,8,1]=>[3,5,7,6,4,2,8,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[5,6,7,3,4,2,8,1]=>[3,5,6,7,4,2,8,1]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[7,6,4,3,5,2,8,1]=>[4,7,6,3,5,2,8,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[7,6,3,4,5,2,8,1]=>[3,4,7,6,5,2,8,1]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[7,5,4,3,6,2,8,1]=>[5,7,4,3,6,2,8,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[7,4,5,3,6,2,8,1]=>[4,5,7,3,6,2,8,1]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[7,5,3,4,6,2,8,1]=>[3,5,7,4,6,2,8,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[7,3,4,5,6,2,8,1]=>[3,4,5,7,6,2,8,1]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[6,5,4,3,7,2,8,1]=>[6,5,4,3,7,2,8,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[6,4,5,3,7,2,8,1]=>[4,6,5,3,7,2,8,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[5,4,6,3,7,2,8,1]=>[5,4,6,3,7,2,8,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[4,5,6,3,7,2,8,1]=>[4,5,6,3,7,2,8,1]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[6,5,3,4,7,2,8,1]=>[3,6,5,4,7,2,8,1]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[5,6,3,4,7,2,8,1]=>[3,5,6,4,7,2,8,1]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[6,4,3,5,7,2,8,1]=>[4,6,3,5,7,2,8,1]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[6,3,4,5,7,2,8,1]=>[3,4,6,5,7,2,8,1]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[4,5,3,6,7,2,8,1]=>[4,5,3,6,7,2,8,1]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[5,3,4,6,7,2,8,1]=>[3,5,4,6,7,2,8,1]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[4,3,5,6,7,2,8,1]=>[4,3,5,6,7,2,8,1]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[3,4,5,6,7,2,8,1]=>[3,4,5,6,7,2,8,1]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[7,6,5,4,2,3,8,1]=>[2,7,6,5,4,3,8,1]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[6,5,7,4,2,3,8,1]=>[2,6,5,7,4,3,8,1]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[5,6,7,4,2,3,8,1]=>[2,5,6,7,4,3,8,1]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[6,7,4,5,2,3,8,1]=>[2,4,6,7,5,3,8,1]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[7,5,4,6,2,3,8,1]=>[2,5,7,4,6,3,8,1]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[6,4,5,7,2,3,8,1]=>[2,4,6,5,7,3,8,1]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[5,4,6,7,2,3,8,1]=>[2,5,4,6,7,3,8,1]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[4,5,6,7,2,3,8,1]=>[2,4,5,6,7,3,8,1]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[7,6,5,3,2,4,8,1]=>[3,7,6,5,2,4,8,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[6,7,5,3,2,4,8,1]=>[3,6,7,5,2,4,8,1]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[7,5,6,3,2,4,8,1]=>[3,5,7,6,2,4,8,1]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[7,6,5,2,3,4,8,1]=>[2,3,7,6,5,4,8,1]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[7,5,6,2,3,4,8,1]=>[2,3,5,7,6,4,8,1]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[5,6,7,2,3,4,8,1]=>[2,3,5,6,7,4,8,1]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[6,7,4,3,2,5,8,1]=>[4,6,7,3,2,5,8,1]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[7,6,3,4,2,5,8,1]=>[3,4,7,6,2,5,8,1]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[7,6,3,2,4,5,8,1]=>[3,2,7,6,4,5,8,1]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[7,6,2,3,4,5,8,1]=>[2,3,4,7,6,5,8,1]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[6,7,2,3,4,5,8,1]=>[2,3,4,6,7,5,8,1]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[7,5,3,4,2,6,8,1]=>[3,5,7,4,2,6,8,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[7,3,4,5,2,6,8,1]=>[3,4,5,7,2,6,8,1]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[7,4,5,2,3,6,8,1]=>[2,4,5,7,3,6,8,1]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[7,5,3,2,4,6,8,1]=>[3,5,7,2,4,6,8,1]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[7,5,2,3,4,6,8,1]=>[2,3,5,7,4,6,8,1]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[7,4,3,2,5,6,8,1]=>[4,3,7,2,5,6,8,1]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[7,4,2,3,5,6,8,1]=>[2,4,3,7,5,6,8,1]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[7,3,2,4,5,6,8,1]=>[3,2,4,7,5,6,8,1]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[7,2,3,4,5,6,8,1]=>[2,3,4,5,7,6,8,1]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[6,5,4,3,2,7,8,1]=>[6,5,4,3,2,7,8,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[4,5,6,3,2,7,8,1]=>[4,5,6,3,2,7,8,1]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[5,6,3,4,2,7,8,1]=>[3,5,6,4,2,7,8,1]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[6,3,4,5,2,7,8,1]=>[3,4,6,5,2,7,8,1]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[5,4,3,6,2,7,8,1]=>[5,4,3,6,2,7,8,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[5,3,4,6,2,7,8,1]=>[3,5,4,6,2,7,8,1]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[4,3,5,6,2,7,8,1]=>[4,3,5,6,2,7,8,1]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[3,4,5,6,2,7,8,1]=>[3,4,5,6,2,7,8,1]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[6,5,4,2,3,7,8,1]=>[2,6,5,4,3,7,8,1]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[5,6,4,2,3,7,8,1]=>[2,5,6,4,3,7,8,1]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[6,4,5,2,3,7,8,1]=>[2,4,6,5,3,7,8,1]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[4,5,6,2,3,7,8,1]=>[2,4,5,6,3,7,8,1]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[6,5,2,3,4,7,8,1]=>[2,3,6,5,4,7,8,1]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[5,6,2,3,4,7,8,1]=>[2,3,5,6,4,7,8,1]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[6,4,2,3,5,7,8,1]=>[2,4,6,3,5,7,8,1]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[6,2,3,4,5,7,8,1]=>[2,3,4,6,5,7,8,1]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[5,4,3,2,6,7,8,1]=>[5,4,3,2,6,7,8,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[4,5,3,2,6,7,8,1]=>[4,5,3,2,6,7,8,1]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[5,3,4,2,6,7,8,1]=>[3,5,4,2,6,7,8,1]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[4,3,5,2,6,7,8,1]=>[4,3,5,2,6,7,8,1]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[3,4,5,2,6,7,8,1]=>[3,4,5,2,6,7,8,1]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[4,5,2,3,6,7,8,1]=>[2,4,5,3,6,7,8,1]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[5,3,2,4,6,7,8,1]=>[3,5,2,4,6,7,8,1]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[5,2,3,4,6,7,8,1]=>[2,3,5,4,6,7,8,1]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[4,3,2,5,6,7,8,1]=>[4,3,2,5,6,7,8,1]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[3,4,2,5,6,7,8,1]=>[3,4,2,5,6,7,8,1]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[4,2,3,5,6,7,8,1]=>[2,4,3,5,6,7,8,1]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[3,2,4,5,6,7,8,1]=>[3,2,4,5,6,7,8,1]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,8,1]=>[[1,3,4,5,6,7,8],[2]]=>[2,6]
[8,7,6,5,4,3,1,2]=>[1,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[8]
[7,8,6,5,4,3,1,2]=>[1,7,8,6,5,4,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[8,6,7,5,4,3,1,2]=>[1,6,8,7,5,4,3,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[7,6,8,5,4,3,1,2]=>[1,7,6,8,5,4,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[6,7,8,5,4,3,1,2]=>[1,6,7,8,5,4,3,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[8,7,5,6,4,3,1,2]=>[1,5,8,7,6,4,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[8,6,5,7,4,3,1,2]=>[1,6,8,5,7,4,3,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[7,6,5,8,4,3,1,2]=>[1,7,6,5,8,4,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[6,7,5,8,4,3,1,2]=>[1,6,7,5,8,4,3,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[7,5,6,8,4,3,1,2]=>[1,5,7,6,8,4,3,2]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[6,5,7,8,4,3,1,2]=>[1,6,5,7,8,4,3,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[5,6,7,8,4,3,1,2]=>[1,5,6,7,8,4,3,2]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[8,7,6,4,5,3,1,2]=>[1,4,8,7,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[7,8,6,4,5,3,1,2]=>[1,4,7,8,6,5,3,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[8,6,7,4,5,3,1,2]=>[1,4,6,8,7,5,3,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[6,7,8,4,5,3,1,2]=>[1,4,6,7,8,5,3,2]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[8,7,5,4,6,3,1,2]=>[1,5,8,7,4,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[8,7,4,5,6,3,1,2]=>[1,4,5,8,7,6,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[8,5,6,4,7,3,1,2]=>[1,5,6,8,4,7,3,2]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[8,6,4,5,7,3,1,2]=>[1,4,6,8,5,7,3,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[7,6,5,4,8,3,1,2]=>[1,7,6,5,4,8,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[7,6,4,5,8,3,1,2]=>[1,4,7,6,5,8,3,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[6,7,4,5,8,3,1,2]=>[1,4,6,7,5,8,3,2]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[7,5,4,6,8,3,1,2]=>[1,5,7,4,6,8,3,2]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[6,5,4,7,8,3,1,2]=>[1,6,5,4,7,8,3,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[5,6,4,7,8,3,1,2]=>[1,5,6,4,7,8,3,2]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[5,4,6,7,8,3,1,2]=>[1,5,4,6,7,8,3,2]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[4,5,6,7,8,3,1,2]=>[1,4,5,6,7,8,3,2]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[8,7,6,5,3,4,1,2]=>[1,3,8,7,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[7,8,6,5,3,4,1,2]=>[1,3,7,8,6,5,4,2]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[8,6,7,5,3,4,1,2]=>[1,3,6,8,7,5,4,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[6,7,8,5,3,4,1,2]=>[1,3,6,7,8,5,4,2]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[8,7,5,6,3,4,1,2]=>[1,3,5,8,7,6,4,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[7,8,5,6,3,4,1,2]=>[1,3,5,7,8,6,4,2]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[8,5,6,7,3,4,1,2]=>[1,3,5,6,8,7,4,2]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[6,7,5,8,3,4,1,2]=>[1,3,6,7,5,8,4,2]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[6,5,7,8,3,4,1,2]=>[1,3,6,5,7,8,4,2]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[5,6,7,8,3,4,1,2]=>[1,3,5,6,7,8,4,2]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[8,7,6,4,3,5,1,2]=>[1,4,8,7,6,3,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[7,8,6,4,3,5,1,2]=>[1,4,7,8,6,3,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[8,6,7,4,3,5,1,2]=>[1,4,6,8,7,3,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[7,6,8,4,3,5,1,2]=>[1,4,7,6,8,3,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[6,7,8,4,3,5,1,2]=>[1,4,6,7,8,3,5,2]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[8,7,6,3,4,5,1,2]=>[1,3,4,8,7,6,5,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[6,7,8,3,4,5,1,2]=>[1,3,4,6,7,8,5,2]=>[[1,2,4,5,7,8],[3],[6]]=>[3,3,2]
[8,7,5,4,3,6,1,2]=>[1,5,8,7,4,3,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[7,8,5,4,3,6,1,2]=>[1,5,7,8,4,3,6,2]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[8,7,4,5,3,6,1,2]=>[1,4,5,8,7,3,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[7,8,4,5,3,6,1,2]=>[1,4,5,7,8,3,6,2]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[8,7,4,3,5,6,1,2]=>[1,4,3,8,7,5,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[7,8,4,3,5,6,1,2]=>[1,4,3,7,8,5,6,2]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[8,7,3,4,5,6,1,2]=>[1,3,4,5,8,7,6,2]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[7,8,3,4,5,6,1,2]=>[1,3,4,5,7,8,6,2]=>[[1,2,4,5,6,8],[3],[7]]=>[3,4,1]
[8,6,5,4,3,7,1,2]=>[1,6,8,5,4,3,7,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[8,5,4,6,3,7,1,2]=>[1,5,4,8,6,3,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[8,5,6,3,4,7,1,2]=>[1,3,5,6,8,4,7,2]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[8,6,4,3,5,7,1,2]=>[1,4,6,8,3,5,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[8,4,3,5,6,7,1,2]=>[1,4,3,5,8,6,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[8,3,4,5,6,7,1,2]=>[1,3,4,5,6,8,7,2]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[7,6,5,4,3,8,1,2]=>[1,7,6,5,4,3,8,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[6,7,5,4,3,8,1,2]=>[1,6,7,5,4,3,8,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[6,5,7,4,3,8,1,2]=>[1,6,5,7,4,3,8,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[5,6,7,4,3,8,1,2]=>[1,5,6,7,4,3,8,2]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[6,7,4,5,3,8,1,2]=>[1,4,6,7,5,3,8,2]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[5,6,4,7,3,8,1,2]=>[1,5,6,4,7,3,8,2]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[6,4,5,7,3,8,1,2]=>[1,4,6,5,7,3,8,2]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[5,4,6,7,3,8,1,2]=>[1,5,4,6,7,3,8,2]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[4,5,6,7,3,8,1,2]=>[1,4,5,6,7,3,8,2]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[6,5,7,3,4,8,1,2]=>[1,3,6,5,7,4,8,2]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[5,6,7,3,4,8,1,2]=>[1,3,5,6,7,4,8,2]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[6,7,4,3,5,8,1,2]=>[1,4,6,7,3,5,8,2]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[6,7,3,4,5,8,1,2]=>[1,3,4,6,7,5,8,2]=>[[1,2,4,5,7,8],[3],[6]]=>[3,3,2]
[7,4,5,3,6,8,1,2]=>[1,4,5,7,3,6,8,2]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[7,5,3,4,6,8,1,2]=>[1,3,5,7,4,6,8,2]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[7,3,4,5,6,8,1,2]=>[1,3,4,5,7,6,8,2]=>[[1,2,4,5,6,8],[3],[7]]=>[3,4,1]
[5,4,6,3,7,8,1,2]=>[1,5,4,6,3,7,8,2]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[6,3,4,5,7,8,1,2]=>[1,3,4,6,5,7,8,2]=>[[1,2,4,5,7,8],[3],[6]]=>[3,3,2]
[5,4,3,6,7,8,1,2]=>[1,5,4,3,6,7,8,2]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[4,5,3,6,7,8,1,2]=>[1,4,5,3,6,7,8,2]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[4,3,5,6,7,8,1,2]=>[1,4,3,5,6,7,8,2]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[3,4,5,6,7,8,1,2]=>[1,3,4,5,6,7,8,2]=>[[1,2,4,5,6,7,8],[3]]=>[3,5]
[8,7,6,5,4,2,1,3]=>[2,8,7,6,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[7,8,6,5,4,2,1,3]=>[2,7,8,6,5,4,1,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[7,6,8,5,4,2,1,3]=>[2,7,6,8,5,4,1,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[7,8,5,6,4,2,1,3]=>[2,5,7,8,6,4,1,3]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[8,6,5,7,4,2,1,3]=>[2,6,8,5,7,4,1,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[5,6,7,8,4,2,1,3]=>[2,5,6,7,8,4,1,3]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[7,8,6,4,5,2,1,3]=>[2,4,7,8,6,5,1,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[8,6,7,4,5,2,1,3]=>[2,4,6,8,7,5,1,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[6,7,8,4,5,2,1,3]=>[2,4,6,7,8,5,1,3]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[8,7,5,4,6,2,1,3]=>[2,5,8,7,4,6,1,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[7,8,5,4,6,2,1,3]=>[2,5,7,8,4,6,1,3]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[8,7,4,5,6,2,1,3]=>[2,4,5,8,7,6,1,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[8,6,4,5,7,2,1,3]=>[2,4,6,8,5,7,1,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[8,4,5,6,7,2,1,3]=>[2,4,5,6,8,7,1,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[7,6,5,4,8,2,1,3]=>[2,7,6,5,4,8,1,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[6,7,5,4,8,2,1,3]=>[2,6,7,5,4,8,1,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[7,6,4,5,8,2,1,3]=>[2,4,7,6,5,8,1,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[6,7,4,5,8,2,1,3]=>[2,4,6,7,5,8,1,3]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[7,5,4,6,8,2,1,3]=>[2,5,7,4,6,8,1,3]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[4,5,6,7,8,2,1,3]=>[2,4,5,6,7,8,1,3]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[8,7,6,5,4,1,2,3]=>[1,2,8,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[7,8,6,5,4,1,2,3]=>[1,2,7,8,6,5,4,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[7,6,8,5,4,1,2,3]=>[1,2,7,6,8,5,4,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[6,7,8,5,4,1,2,3]=>[1,2,6,7,8,5,4,3]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[8,5,6,7,4,1,2,3]=>[1,2,5,6,8,7,4,3]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[7,6,5,8,4,1,2,3]=>[1,2,7,6,5,8,4,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[7,5,6,8,4,1,2,3]=>[1,2,5,7,6,8,4,3]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,2,1]
[6,5,7,8,4,1,2,3]=>[1,2,6,5,7,8,4,3]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[5,6,7,8,4,1,2,3]=>[1,2,5,6,7,8,4,3]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[8,7,6,4,5,1,2,3]=>[1,2,4,8,7,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[7,8,6,4,5,1,2,3]=>[1,2,4,7,8,6,5,3]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[8,6,7,4,5,1,2,3]=>[1,2,4,6,8,7,5,3]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[6,7,8,4,5,1,2,3]=>[1,2,4,6,7,8,5,3]=>[[1,2,3,5,7,8],[4],[6]]=>[4,2,2]
[7,8,5,4,6,1,2,3]=>[1,2,5,7,8,4,6,3]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[8,7,4,5,6,1,2,3]=>[1,2,4,5,8,7,6,3]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[7,8,4,5,6,1,2,3]=>[1,2,4,5,7,8,6,3]=>[[1,2,3,5,6,8],[4],[7]]=>[4,3,1]
[8,5,6,4,7,1,2,3]=>[1,2,5,6,8,4,7,3]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[8,6,4,5,7,1,2,3]=>[1,2,4,6,8,5,7,3]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[8,4,5,6,7,1,2,3]=>[1,2,4,5,6,8,7,3]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[7,6,5,4,8,1,2,3]=>[1,2,7,6,5,4,8,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[5,6,7,4,8,1,2,3]=>[1,2,5,6,7,4,8,3]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[7,6,4,5,8,1,2,3]=>[1,2,4,7,6,5,8,3]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[7,5,4,6,8,1,2,3]=>[1,2,5,7,4,6,8,3]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[6,5,4,7,8,1,2,3]=>[1,2,6,5,4,7,8,3]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[5,6,4,7,8,1,2,3]=>[1,2,5,6,4,7,8,3]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[5,4,6,7,8,1,2,3]=>[1,2,5,4,6,7,8,3]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[4,5,6,7,8,1,2,3]=>[1,2,4,5,6,7,8,3]=>[[1,2,3,5,6,7,8],[4]]=>[4,4]
[8,7,6,5,3,2,1,4]=>[3,8,7,6,5,2,1,4]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[8,6,7,5,3,2,1,4]=>[3,6,8,7,5,2,1,4]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[6,7,8,5,3,2,1,4]=>[3,6,7,8,5,2,1,4]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[7,8,5,6,3,2,1,4]=>[3,5,7,8,6,2,1,4]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[8,5,6,7,3,2,1,4]=>[3,5,6,8,7,2,1,4]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[7,6,5,8,3,2,1,4]=>[3,7,6,5,8,2,1,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[7,5,6,8,3,2,1,4]=>[3,5,7,6,8,2,1,4]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[6,5,7,8,3,2,1,4]=>[3,6,5,7,8,2,1,4]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[5,6,7,8,3,2,1,4]=>[3,5,6,7,8,2,1,4]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[8,7,6,5,2,3,1,4]=>[2,3,8,7,6,5,1,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[8,6,7,5,2,3,1,4]=>[2,3,6,8,7,5,1,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[6,7,8,5,2,3,1,4]=>[2,3,6,7,8,5,1,4]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[7,6,5,8,2,3,1,4]=>[2,3,7,6,5,8,1,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[7,5,6,8,2,3,1,4]=>[2,3,5,7,6,8,1,4]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[6,5,7,8,2,3,1,4]=>[2,3,6,5,7,8,1,4]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[5,6,7,8,2,3,1,4]=>[2,3,5,6,7,8,1,4]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[8,7,6,5,3,1,2,4]=>[1,3,8,7,6,5,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[8,6,7,5,3,1,2,4]=>[1,3,6,8,7,5,2,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[7,6,8,5,3,1,2,4]=>[1,3,7,6,8,5,2,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[6,7,8,5,3,1,2,4]=>[1,3,6,7,8,5,2,4]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[8,7,5,6,3,1,2,4]=>[1,3,5,8,7,6,2,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,8,5,6,3,1,2,4]=>[1,3,5,7,8,6,2,4]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,6,5,7,3,1,2,4]=>[1,3,6,8,5,7,2,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[8,5,6,7,3,1,2,4]=>[1,3,5,6,8,7,2,4]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[7,6,5,8,3,1,2,4]=>[1,3,7,6,5,8,2,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[6,7,5,8,3,1,2,4]=>[1,3,6,7,5,8,2,4]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[6,5,7,8,3,1,2,4]=>[1,3,6,5,7,8,2,4]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[5,6,7,8,3,1,2,4]=>[1,3,5,6,7,8,2,4]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[8,7,6,5,2,1,3,4]=>[2,1,8,7,6,5,3,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[7,8,6,5,2,1,3,4]=>[2,1,7,8,6,5,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[8,6,7,5,2,1,3,4]=>[2,1,6,8,7,5,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[7,6,8,5,2,1,3,4]=>[2,1,7,6,8,5,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[6,7,8,5,2,1,3,4]=>[2,1,6,7,8,5,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[8,7,5,6,2,1,3,4]=>[2,1,5,8,7,6,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[7,8,5,6,2,1,3,4]=>[2,1,5,7,8,6,3,4]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[8,6,5,7,2,1,3,4]=>[2,1,6,8,5,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[8,5,6,7,2,1,3,4]=>[2,1,5,6,8,7,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[7,6,5,8,2,1,3,4]=>[2,1,7,6,5,8,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[6,7,5,8,2,1,3,4]=>[2,1,6,7,5,8,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[6,5,7,8,2,1,3,4]=>[2,1,6,5,7,8,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[5,6,7,8,2,1,3,4]=>[2,1,5,6,7,8,3,4]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[8,7,6,5,1,2,3,4]=>[1,2,3,8,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[7,8,6,5,1,2,3,4]=>[1,2,3,7,8,6,5,4]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[8,6,7,5,1,2,3,4]=>[1,2,3,6,8,7,5,4]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[7,6,8,5,1,2,3,4]=>[1,2,3,7,6,8,5,4]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[6,7,8,5,1,2,3,4]=>[1,2,3,6,7,8,5,4]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[8,7,5,6,1,2,3,4]=>[1,2,3,5,8,7,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[7,8,5,6,1,2,3,4]=>[1,2,3,5,7,8,6,4]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[8,6,5,7,1,2,3,4]=>[1,2,3,6,8,5,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[8,5,6,7,1,2,3,4]=>[1,2,3,5,6,8,7,4]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[7,6,5,8,1,2,3,4]=>[1,2,3,7,6,5,8,4]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[6,7,5,8,1,2,3,4]=>[1,2,3,6,7,5,8,4]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[7,5,6,8,1,2,3,4]=>[1,2,3,5,7,6,8,4]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[6,5,7,8,1,2,3,4]=>[1,2,3,6,5,7,8,4]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[5,6,7,8,1,2,3,4]=>[1,2,3,5,6,7,8,4]=>[[1,2,3,4,6,7,8],[5]]=>[5,3]
[8,7,6,4,3,2,1,5]=>[4,8,7,6,3,2,1,5]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[7,6,8,4,3,2,1,5]=>[4,7,6,8,3,2,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[8,7,6,3,4,2,1,5]=>[3,4,8,7,6,2,1,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[7,8,6,3,4,2,1,5]=>[3,4,7,8,6,2,1,5]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[8,6,7,3,4,2,1,5]=>[3,4,6,8,7,2,1,5]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[6,7,8,3,4,2,1,5]=>[3,4,6,7,8,2,1,5]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[8,6,7,4,2,3,1,5]=>[2,4,6,8,7,3,1,5]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[6,7,8,4,2,3,1,5]=>[2,4,6,7,8,3,1,5]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[8,6,7,3,2,4,1,5]=>[3,2,6,8,7,4,1,5]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[7,6,8,3,2,4,1,5]=>[3,2,7,6,8,4,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[6,7,8,3,2,4,1,5]=>[3,2,6,7,8,4,1,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[8,7,6,2,3,4,1,5]=>[2,3,4,8,7,6,1,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[7,8,6,2,3,4,1,5]=>[2,3,4,7,8,6,1,5]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[8,6,7,2,3,4,1,5]=>[2,3,4,6,8,7,1,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[7,6,8,2,3,4,1,5]=>[2,3,4,7,6,8,1,5]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[6,7,8,2,3,4,1,5]=>[2,3,4,6,7,8,1,5]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[7,6,8,4,3,1,2,5]=>[1,4,7,6,8,3,2,5]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[6,7,8,4,3,1,2,5]=>[1,4,6,7,8,3,2,5]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[7,6,8,3,4,1,2,5]=>[1,3,4,7,6,8,2,5]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[8,7,6,4,2,1,3,5]=>[2,4,8,7,6,1,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[7,8,6,4,2,1,3,5]=>[2,4,7,8,6,1,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[8,6,7,4,2,1,3,5]=>[2,4,6,8,7,1,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[6,7,8,4,2,1,3,5]=>[2,4,6,7,8,1,3,5]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[7,8,6,4,1,2,3,5]=>[1,2,4,7,8,6,3,5]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[8,7,6,3,2,1,4,5]=>[3,2,8,7,6,1,4,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[7,8,6,3,2,1,4,5]=>[3,2,7,8,6,1,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[7,6,8,3,2,1,4,5]=>[3,2,7,6,8,1,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[6,7,8,3,2,1,4,5]=>[3,2,6,7,8,1,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[8,7,6,2,3,1,4,5]=>[2,3,1,8,7,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[7,8,6,2,3,1,4,5]=>[2,3,1,7,8,6,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[8,6,7,2,3,1,4,5]=>[2,3,1,6,8,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[6,7,8,2,3,1,4,5]=>[2,3,1,6,7,8,4,5]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[8,7,6,3,1,2,4,5]=>[1,3,2,8,7,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,6,7,3,1,2,4,5]=>[1,3,2,6,8,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[7,6,8,3,1,2,4,5]=>[1,3,2,7,6,8,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[6,7,8,3,1,2,4,5]=>[1,3,2,6,7,8,4,5]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[8,7,6,2,1,3,4,5]=>[2,1,3,8,7,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[7,8,6,2,1,3,4,5]=>[2,1,3,7,8,6,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[8,6,7,2,1,3,4,5]=>[2,1,3,6,8,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[6,7,8,2,1,3,4,5]=>[2,1,3,6,7,8,4,5]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[8,7,6,1,2,3,4,5]=>[1,2,3,4,8,7,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[7,8,6,1,2,3,4,5]=>[1,2,3,4,7,8,6,5]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[8,6,7,1,2,3,4,5]=>[1,2,3,4,6,8,7,5]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[7,6,8,1,2,3,4,5]=>[1,2,3,4,7,6,8,5]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[6,7,8,1,2,3,4,5]=>[1,2,3,4,6,7,8,5]=>[[1,2,3,4,5,7,8],[6]]=>[6,2]
[8,7,5,4,3,2,1,6]=>[5,8,7,4,3,2,1,6]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[7,8,5,4,3,2,1,6]=>[5,7,8,4,3,2,1,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[8,7,4,5,3,2,1,6]=>[4,5,8,7,3,2,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[8,7,4,3,5,2,1,6]=>[4,3,8,7,5,2,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[8,7,3,4,5,2,1,6]=>[3,4,5,8,7,2,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[8,7,4,5,2,3,1,6]=>[2,4,5,8,7,3,1,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[8,7,5,3,2,4,1,6]=>[3,5,8,7,2,4,1,6]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[7,8,5,3,2,4,1,6]=>[3,5,7,8,2,4,1,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[8,7,4,3,2,5,1,6]=>[4,3,8,7,2,5,1,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[7,8,4,3,2,5,1,6]=>[4,3,7,8,2,5,1,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[8,7,3,4,2,5,1,6]=>[3,4,2,8,7,5,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[8,7,2,3,4,5,1,6]=>[2,3,4,5,8,7,1,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[7,8,2,3,4,5,1,6]=>[2,3,4,5,7,8,1,6]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[7,8,5,4,3,1,2,6]=>[1,5,7,8,4,3,2,6]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[7,8,5,3,4,1,2,6]=>[1,3,5,7,8,4,2,6]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,7,3,4,5,1,2,6]=>[1,3,4,5,8,7,2,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[7,8,3,4,5,1,2,6]=>[1,3,4,5,7,8,2,6]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[8,7,5,4,2,1,3,6]=>[2,5,8,7,4,1,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[7,8,5,4,2,1,3,6]=>[2,5,7,8,4,1,3,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[7,8,4,5,2,1,3,6]=>[2,4,5,7,8,1,3,6]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[8,7,5,4,1,2,3,6]=>[1,2,5,8,7,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[7,8,5,4,1,2,3,6]=>[1,2,5,7,8,4,3,6]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[7,8,4,5,1,2,3,6]=>[1,2,4,5,7,8,3,6]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[7,8,5,3,2,1,4,6]=>[3,5,7,8,2,1,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[7,8,5,2,3,1,4,6]=>[2,3,5,7,8,1,4,6]=>[[1,3,4,6,8],[2,5,7]]=>[2,3,2,1]
[8,7,5,3,1,2,4,6]=>[1,3,5,8,7,2,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[7,8,5,3,1,2,4,6]=>[1,3,5,7,8,2,4,6]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[8,7,5,2,1,3,4,6]=>[2,1,5,8,7,3,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[7,8,5,2,1,3,4,6]=>[2,1,5,7,8,3,4,6]=>[[1,3,4,6],[2,5,7,8]]=>[2,3,2,1]
[8,7,5,1,2,3,4,6]=>[1,2,3,5,8,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[7,8,5,1,2,3,4,6]=>[1,2,3,5,7,8,4,6]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[8,7,4,3,2,1,5,6]=>[4,3,8,7,2,1,5,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[7,8,4,3,2,1,5,6]=>[4,3,7,8,2,1,5,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[7,8,3,4,2,1,5,6]=>[3,4,2,7,8,1,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[7,8,4,2,3,1,5,6]=>[2,4,3,7,8,1,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[8,7,2,3,4,1,5,6]=>[2,3,4,1,8,7,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[7,8,2,3,4,1,5,6]=>[2,3,4,1,7,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[8,7,4,3,1,2,5,6]=>[1,4,3,8,7,2,5,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[7,8,3,4,1,2,5,6]=>[1,3,4,2,7,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[8,7,4,2,1,3,5,6]=>[2,4,1,8,7,3,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[7,8,4,2,1,3,5,6]=>[2,4,1,7,8,3,5,6]=>[[1,3,5,6],[2,4,7,8]]=>[2,2,3,1]
[8,7,4,1,2,3,5,6]=>[1,2,4,3,8,7,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[7,8,4,1,2,3,5,6]=>[1,2,4,3,7,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[8,7,3,2,1,4,5,6]=>[3,2,1,8,7,4,5,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[7,8,3,2,1,4,5,6]=>[3,2,1,7,8,4,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[7,8,2,3,1,4,5,6]=>[2,3,1,4,7,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[7,8,3,1,2,4,5,6]=>[1,3,2,4,7,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[8,7,2,1,3,4,5,6]=>[2,1,3,4,8,7,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[7,8,2,1,3,4,5,6]=>[2,1,3,4,7,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[8,7,1,2,3,4,5,6]=>[1,2,3,4,5,8,7,6]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,6]=>[[1,2,3,4,5,6,8],[7]]=>[7,1]
[8,6,5,4,3,2,1,7]=>[6,8,5,4,3,2,1,7]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[8,5,6,4,3,2,1,7]=>[5,6,8,4,3,2,1,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[8,5,4,6,3,2,1,7]=>[5,4,8,6,3,2,1,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[8,4,5,6,3,2,1,7]=>[4,5,6,8,3,2,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[8,5,6,3,4,2,1,7]=>[3,5,6,8,4,2,1,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[8,5,4,3,6,2,1,7]=>[5,4,8,3,6,2,1,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[8,5,6,4,2,3,1,7]=>[2,5,6,8,4,3,1,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[8,6,4,5,2,3,1,7]=>[2,4,6,8,5,3,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[8,4,5,6,2,3,1,7]=>[2,4,5,6,8,3,1,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[8,6,4,2,3,5,1,7]=>[2,4,6,8,3,5,1,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[8,5,4,3,2,6,1,7]=>[5,4,8,3,2,6,1,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[8,4,5,3,2,6,1,7]=>[4,5,3,8,2,6,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[8,4,5,2,3,6,1,7]=>[2,4,5,3,8,6,1,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[8,2,3,4,5,6,1,7]=>[2,3,4,5,6,8,1,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[8,6,5,4,3,1,2,7]=>[1,6,8,5,4,3,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[8,5,4,6,3,1,2,7]=>[1,5,4,8,6,3,2,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[8,6,5,3,4,1,2,7]=>[1,3,6,8,5,4,2,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[8,5,6,3,4,1,2,7]=>[1,3,5,6,8,4,2,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[8,5,3,4,6,1,2,7]=>[1,3,5,4,8,6,2,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[8,3,4,5,6,1,2,7]=>[1,3,4,5,6,8,2,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[8,6,5,4,2,1,3,7]=>[2,6,8,5,4,1,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[8,6,4,5,2,1,3,7]=>[2,4,6,8,5,1,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[8,4,5,6,2,1,3,7]=>[2,4,5,6,8,1,3,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[8,6,5,4,1,2,3,7]=>[1,2,6,8,5,4,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[8,6,4,5,1,2,3,7]=>[1,2,4,6,8,5,3,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[8,4,5,6,1,2,3,7]=>[1,2,4,5,6,8,3,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[8,5,6,3,2,1,4,7]=>[3,5,6,8,2,1,4,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[8,6,5,2,3,1,4,7]=>[2,3,6,8,5,1,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[8,5,6,2,3,1,4,7]=>[2,3,5,6,8,1,4,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[8,5,6,3,1,2,4,7]=>[1,3,5,6,8,2,4,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[8,6,5,2,1,3,4,7]=>[2,1,6,8,5,3,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[8,5,6,2,1,3,4,7]=>[2,1,5,6,8,3,4,7]=>[[1,3,4,7],[2,5,6,8]]=>[2,3,3]
[8,6,5,1,2,3,4,7]=>[1,2,3,6,8,5,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[8,5,6,1,2,3,4,7]=>[1,2,3,5,6,8,4,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[8,6,4,3,2,1,5,7]=>[4,6,8,3,2,1,5,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[8,6,3,4,2,1,5,7]=>[3,4,6,8,2,1,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[8,6,4,2,3,1,5,7]=>[2,4,6,8,3,1,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[8,6,3,2,4,1,5,7]=>[3,2,6,8,4,1,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[8,6,2,3,4,1,5,7]=>[2,3,4,6,8,1,5,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[8,6,4,3,1,2,5,7]=>[1,4,6,8,3,2,5,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[8,6,3,4,1,2,5,7]=>[1,3,4,6,8,2,5,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[8,6,4,2,1,3,5,7]=>[2,4,6,8,1,3,5,7]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[8,6,4,1,2,3,5,7]=>[1,2,4,6,8,3,5,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[8,6,3,2,1,4,5,7]=>[3,2,6,8,1,4,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[8,6,2,3,1,4,5,7]=>[2,3,1,6,8,4,5,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[8,6,1,2,3,4,5,7]=>[1,2,3,4,6,8,5,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[8,5,4,3,2,1,6,7]=>[5,4,8,3,2,1,6,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[8,4,5,3,2,1,6,7]=>[4,5,3,8,2,1,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[8,4,3,5,2,1,6,7]=>[4,3,5,8,2,1,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[8,5,4,2,3,1,6,7]=>[2,5,4,8,3,1,6,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[8,4,2,3,5,1,6,7]=>[2,4,3,5,8,1,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[8,3,2,4,5,1,6,7]=>[3,2,4,5,8,1,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[8,2,3,4,5,1,6,7]=>[2,3,4,5,1,8,6,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[8,5,4,3,1,2,6,7]=>[1,5,4,8,3,2,6,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[8,4,3,5,1,2,6,7]=>[1,4,3,5,8,2,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[8,3,4,5,1,2,6,7]=>[1,3,4,5,2,8,6,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[8,4,5,2,1,3,6,7]=>[2,4,5,1,8,3,6,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[8,5,4,1,2,3,6,7]=>[1,2,5,4,8,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[8,4,5,1,2,3,6,7]=>[1,2,4,5,3,8,6,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[8,5,2,3,1,4,6,7]=>[2,3,5,1,8,4,6,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[8,5,3,1,2,4,6,7]=>[1,3,5,2,8,4,6,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[8,5,2,1,3,4,6,7]=>[2,1,5,3,8,4,6,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[8,5,1,2,3,4,6,7]=>[1,2,3,5,4,8,6,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[8,4,3,2,1,5,6,7]=>[4,3,2,8,1,5,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[8,3,4,2,1,5,6,7]=>[3,4,2,1,8,5,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[8,4,2,3,1,5,6,7]=>[2,4,3,1,8,5,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[8,3,2,4,1,5,6,7]=>[3,2,4,1,8,5,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[8,2,3,4,1,5,6,7]=>[2,3,4,1,5,8,6,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[8,4,3,1,2,5,6,7]=>[1,4,3,2,8,5,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[8,3,4,1,2,5,6,7]=>[1,3,4,2,5,8,6,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[8,4,2,1,3,5,6,7]=>[2,4,1,3,8,5,6,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[8,4,1,2,3,5,6,7]=>[1,2,4,3,5,8,6,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[8,3,2,1,4,5,6,7]=>[3,2,1,4,8,5,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[8,2,3,1,4,5,6,7]=>[2,3,1,4,5,8,6,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[8,3,1,2,4,5,6,7]=>[1,3,2,4,5,8,6,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[8,2,1,3,4,5,6,7]=>[2,1,3,4,5,8,6,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,7]=>[[1,2,3,4,5,6,7],[8]]=>[8]
[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[7,1]
[6,7,5,4,3,2,1,8]=>[6,7,5,4,3,2,1,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[7,5,6,4,3,2,1,8]=>[5,7,6,4,3,2,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[6,5,7,4,3,2,1,8]=>[6,5,7,4,3,2,1,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[5,6,7,4,3,2,1,8]=>[5,6,7,4,3,2,1,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[7,6,4,5,3,2,1,8]=>[4,7,6,5,3,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[7,5,4,6,3,2,1,8]=>[5,7,4,6,3,2,1,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[7,4,5,6,3,2,1,8]=>[4,5,7,6,3,2,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[6,5,4,7,3,2,1,8]=>[6,5,4,7,3,2,1,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[5,6,4,7,3,2,1,8]=>[5,6,4,7,3,2,1,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[6,4,5,7,3,2,1,8]=>[4,6,5,7,3,2,1,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[5,4,6,7,3,2,1,8]=>[5,4,6,7,3,2,1,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[4,5,6,7,3,2,1,8]=>[4,5,6,7,3,2,1,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[7,5,6,3,4,2,1,8]=>[3,5,7,6,4,2,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[5,6,7,3,4,2,1,8]=>[3,5,6,7,4,2,1,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[7,6,4,3,5,2,1,8]=>[4,7,6,3,5,2,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[7,6,3,4,5,2,1,8]=>[3,4,7,6,5,2,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[7,5,4,3,6,2,1,8]=>[5,7,4,3,6,2,1,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[6,5,4,3,7,2,1,8]=>[6,5,4,3,7,2,1,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[5,6,4,3,7,2,1,8]=>[5,6,4,3,7,2,1,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[5,4,6,3,7,2,1,8]=>[5,4,6,3,7,2,1,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[6,5,3,4,7,2,1,8]=>[3,6,5,4,7,2,1,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[5,6,3,4,7,2,1,8]=>[3,5,6,4,7,2,1,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[5,4,3,6,7,2,1,8]=>[5,4,3,6,7,2,1,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[3,4,5,6,7,2,1,8]=>[3,4,5,6,7,2,1,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[7,6,5,4,2,3,1,8]=>[2,7,6,5,4,3,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[6,7,5,4,2,3,1,8]=>[2,6,7,5,4,3,1,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[7,5,6,4,2,3,1,8]=>[2,5,7,6,4,3,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[5,6,7,4,2,3,1,8]=>[2,5,6,7,4,3,1,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[6,7,4,5,2,3,1,8]=>[2,4,6,7,5,3,1,8]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[5,6,4,7,2,3,1,8]=>[2,5,6,4,7,3,1,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[5,4,6,7,2,3,1,8]=>[2,5,4,6,7,3,1,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[4,5,6,7,2,3,1,8]=>[2,4,5,6,7,3,1,8]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[7,5,6,3,2,4,1,8]=>[3,5,7,6,2,4,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[6,5,7,3,2,4,1,8]=>[3,6,5,7,2,4,1,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[5,6,7,3,2,4,1,8]=>[3,5,6,7,2,4,1,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[7,6,5,2,3,4,1,8]=>[2,3,7,6,5,4,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[6,7,5,2,3,4,1,8]=>[2,3,6,7,5,4,1,8]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[7,5,6,2,3,4,1,8]=>[2,3,5,7,6,4,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[6,5,7,2,3,4,1,8]=>[2,3,6,5,7,4,1,8]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[5,6,7,2,3,4,1,8]=>[2,3,5,6,7,4,1,8]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[7,6,3,2,4,5,1,8]=>[3,2,7,6,4,5,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[6,7,3,2,4,5,1,8]=>[3,2,6,7,4,5,1,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[7,6,2,3,4,5,1,8]=>[2,3,4,7,6,5,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[6,7,2,3,4,5,1,8]=>[2,3,4,6,7,5,1,8]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[7,5,4,3,2,6,1,8]=>[5,7,4,3,2,6,1,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[7,5,3,4,2,6,1,8]=>[3,5,7,4,2,6,1,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[7,4,5,2,3,6,1,8]=>[2,4,5,7,3,6,1,8]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[7,5,3,2,4,6,1,8]=>[3,5,7,2,4,6,1,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[7,4,3,2,5,6,1,8]=>[4,3,7,2,5,6,1,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[7,2,3,4,5,6,1,8]=>[2,3,4,5,7,6,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[6,5,4,3,2,7,1,8]=>[6,5,4,3,2,7,1,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[5,6,4,3,2,7,1,8]=>[5,6,4,3,2,7,1,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[5,6,3,4,2,7,1,8]=>[3,5,6,4,2,7,1,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[6,4,3,5,2,7,1,8]=>[4,6,3,5,2,7,1,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[6,3,4,5,2,7,1,8]=>[3,4,6,5,2,7,1,8]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[5,4,3,6,2,7,1,8]=>[5,4,3,6,2,7,1,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[4,5,3,6,2,7,1,8]=>[4,5,3,6,2,7,1,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[5,3,4,6,2,7,1,8]=>[3,5,4,6,2,7,1,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[4,3,5,6,2,7,1,8]=>[4,3,5,6,2,7,1,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[3,4,5,6,2,7,1,8]=>[3,4,5,6,2,7,1,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[5,4,6,2,3,7,1,8]=>[2,5,4,6,3,7,1,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[5,6,3,2,4,7,1,8]=>[3,5,6,2,4,7,1,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[5,6,2,3,4,7,1,8]=>[2,3,5,6,4,7,1,8]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[6,3,4,2,5,7,1,8]=>[3,4,6,2,5,7,1,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[6,4,2,3,5,7,1,8]=>[2,4,6,3,5,7,1,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[6,2,3,4,5,7,1,8]=>[2,3,4,6,5,7,1,8]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[5,4,3,2,6,7,1,8]=>[5,4,3,2,6,7,1,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[3,4,5,2,6,7,1,8]=>[3,4,5,2,6,7,1,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[5,2,3,4,6,7,1,8]=>[2,3,5,4,6,7,1,8]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[4,3,2,5,6,7,1,8]=>[4,3,2,5,6,7,1,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[3,4,2,5,6,7,1,8]=>[3,4,2,5,6,7,1,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[3,2,4,5,6,7,1,8]=>[3,2,4,5,6,7,1,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[2,3,4,5,6,7,1,8]=>[2,3,4,5,6,7,1,8]=>[[1,3,4,5,6,7,8],[2]]=>[2,6]
[7,6,5,4,3,1,2,8]=>[1,7,6,5,4,3,2,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[6,7,5,4,3,1,2,8]=>[1,6,7,5,4,3,2,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[6,5,7,4,3,1,2,8]=>[1,6,5,7,4,3,2,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[5,6,7,4,3,1,2,8]=>[1,5,6,7,4,3,2,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[7,6,4,5,3,1,2,8]=>[1,4,7,6,5,3,2,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[7,5,4,6,3,1,2,8]=>[1,5,7,4,6,3,2,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[5,4,6,7,3,1,2,8]=>[1,5,4,6,7,3,2,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[4,5,6,7,3,1,2,8]=>[1,4,5,6,7,3,2,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[6,7,5,3,4,1,2,8]=>[1,3,6,7,5,4,2,8]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[7,5,6,3,4,1,2,8]=>[1,3,5,7,6,4,2,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[6,5,7,3,4,1,2,8]=>[1,3,6,5,7,4,2,8]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[5,6,7,3,4,1,2,8]=>[1,3,5,6,7,4,2,8]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[6,7,4,3,5,1,2,8]=>[1,4,6,7,3,5,2,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[6,7,3,4,5,1,2,8]=>[1,3,4,6,7,5,2,8]=>[[1,2,4,5,7,8],[3],[6]]=>[3,3,2]
[7,3,4,5,6,1,2,8]=>[1,3,4,5,7,6,2,8]=>[[1,2,4,5,6,8],[3],[7]]=>[3,4,1]
[6,5,3,4,7,1,2,8]=>[1,3,6,5,4,7,2,8]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[4,5,3,6,7,1,2,8]=>[1,4,5,3,6,7,2,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[3,4,5,6,7,1,2,8]=>[1,3,4,5,6,7,2,8]=>[[1,2,4,5,6,7,8],[3]]=>[3,5]
[7,6,5,4,2,1,3,8]=>[2,7,6,5,4,1,3,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[6,7,5,4,2,1,3,8]=>[2,6,7,5,4,1,3,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[6,5,7,4,2,1,3,8]=>[2,6,5,7,4,1,3,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[7,5,4,6,2,1,3,8]=>[2,5,7,4,6,1,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[6,5,4,7,2,1,3,8]=>[2,6,5,4,7,1,3,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[5,6,4,7,2,1,3,8]=>[2,5,6,4,7,1,3,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[5,4,6,7,2,1,3,8]=>[2,5,4,6,7,1,3,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[4,5,6,7,2,1,3,8]=>[2,4,5,6,7,1,3,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[7,6,5,4,1,2,3,8]=>[1,2,7,6,5,4,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[6,7,5,4,1,2,3,8]=>[1,2,6,7,5,4,3,8]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[7,5,6,4,1,2,3,8]=>[1,2,5,7,6,4,3,8]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,2,1]
[5,6,7,4,1,2,3,8]=>[1,2,5,6,7,4,3,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[6,7,4,5,1,2,3,8]=>[1,2,4,6,7,5,3,8]=>[[1,2,3,5,7,8],[4],[6]]=>[4,2,2]
[5,6,4,7,1,2,3,8]=>[1,2,5,6,4,7,3,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[5,4,6,7,1,2,3,8]=>[1,2,5,4,6,7,3,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[4,5,6,7,1,2,3,8]=>[1,2,4,5,6,7,3,8]=>[[1,2,3,5,6,7,8],[4]]=>[4,4]
[5,6,7,2,3,1,4,8]=>[2,3,5,6,7,1,4,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[7,6,5,3,1,2,4,8]=>[1,3,7,6,5,2,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[6,7,5,3,1,2,4,8]=>[1,3,6,7,5,2,4,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[5,6,7,3,1,2,4,8]=>[1,3,5,6,7,2,4,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[5,6,7,2,1,3,4,8]=>[2,1,5,6,7,3,4,8]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[7,6,5,1,2,3,4,8]=>[1,2,3,7,6,5,4,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[6,7,5,1,2,3,4,8]=>[1,2,3,6,7,5,4,8]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[7,5,6,1,2,3,4,8]=>[1,2,3,5,7,6,4,8]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[6,5,7,1,2,3,4,8]=>[1,2,3,6,5,7,4,8]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[5,6,7,1,2,3,4,8]=>[1,2,3,5,6,7,4,8]=>[[1,2,3,4,6,7,8],[5]]=>[5,3]
[6,7,3,4,2,1,5,8]=>[3,4,6,7,2,1,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[7,6,2,3,4,1,5,8]=>[2,3,4,7,6,1,5,8]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[6,7,2,3,4,1,5,8]=>[2,3,4,6,7,1,5,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[7,6,4,3,1,2,5,8]=>[1,4,7,6,3,2,5,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[6,7,3,4,1,2,5,8]=>[1,3,4,6,7,2,5,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[7,6,3,2,1,4,5,8]=>[3,2,7,6,1,4,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[7,6,3,1,2,4,5,8]=>[1,3,2,7,6,4,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[6,7,3,1,2,4,5,8]=>[1,3,2,6,7,4,5,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[7,6,1,2,3,4,5,8]=>[1,2,3,4,7,6,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[6,7,1,2,3,4,5,8]=>[1,2,3,4,6,7,5,8]=>[[1,2,3,4,5,7,8],[6]]=>[6,2]
[7,5,3,4,2,1,6,8]=>[3,5,7,4,2,1,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[7,4,3,5,2,1,6,8]=>[4,3,7,5,2,1,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[7,5,4,2,3,1,6,8]=>[2,5,7,4,3,1,6,8]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[7,5,3,2,4,1,6,8]=>[3,5,7,2,4,1,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[7,4,3,2,5,1,6,8]=>[4,3,7,2,5,1,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[7,2,3,4,5,1,6,8]=>[2,3,4,5,7,1,6,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[7,4,5,3,1,2,6,8]=>[1,4,5,7,3,2,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[7,3,4,5,1,2,6,8]=>[1,3,4,5,7,2,6,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[7,4,5,1,2,3,6,8]=>[1,2,4,5,7,3,6,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[7,5,3,2,1,4,6,8]=>[3,5,7,2,1,4,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[7,5,2,3,1,4,6,8]=>[2,3,5,7,1,4,6,8]=>[[1,3,4,6,8],[2,5,7]]=>[2,3,2,1]
[7,5,3,1,2,4,6,8]=>[1,3,5,7,2,4,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[7,5,2,1,3,4,6,8]=>[2,1,5,7,3,4,6,8]=>[[1,3,4,6,8],[2,5,7]]=>[2,3,2,1]
[7,5,1,2,3,4,6,8]=>[1,2,3,5,7,4,6,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[7,4,3,2,1,5,6,8]=>[4,3,7,2,1,5,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[7,3,4,2,1,5,6,8]=>[3,4,2,7,1,5,6,8]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[7,2,3,4,1,5,6,8]=>[2,3,4,1,7,5,6,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[7,4,3,1,2,5,6,8]=>[1,4,3,7,2,5,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[7,4,1,2,3,5,6,8]=>[1,2,4,3,7,5,6,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[7,3,2,1,4,5,6,8]=>[3,2,1,7,4,5,6,8]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[7,2,3,1,4,5,6,8]=>[2,3,1,4,7,5,6,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[7,2,1,3,4,5,6,8]=>[2,1,3,4,7,5,6,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[7,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,8]=>[[1,2,3,4,5,6,8],[7]]=>[7,1]
[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[5,6,4,3,2,1,7,8]=>[5,6,4,3,2,1,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[5,4,6,3,2,1,7,8]=>[5,4,6,3,2,1,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[4,5,6,3,2,1,7,8]=>[4,5,6,3,2,1,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[6,5,3,4,2,1,7,8]=>[3,6,5,4,2,1,7,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[5,4,3,6,2,1,7,8]=>[5,4,3,6,2,1,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[3,4,5,6,2,1,7,8]=>[3,4,5,6,2,1,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[6,4,5,2,3,1,7,8]=>[2,4,6,5,3,1,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[4,5,6,2,3,1,7,8]=>[2,4,5,6,3,1,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[5,6,3,2,4,1,7,8]=>[3,5,6,2,4,1,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[6,5,2,3,4,1,7,8]=>[2,3,6,5,4,1,7,8]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[5,6,2,3,4,1,7,8]=>[2,3,5,6,4,1,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[6,4,3,2,5,1,7,8]=>[4,6,3,2,5,1,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[6,2,3,4,5,1,7,8]=>[2,3,4,6,5,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[5,4,3,2,6,1,7,8]=>[5,4,3,2,6,1,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[4,5,3,2,6,1,7,8]=>[4,5,3,2,6,1,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[5,3,4,2,6,1,7,8]=>[3,5,4,2,6,1,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[4,3,5,2,6,1,7,8]=>[4,3,5,2,6,1,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[3,4,5,2,6,1,7,8]=>[3,4,5,2,6,1,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[4,3,2,5,6,1,7,8]=>[4,3,2,5,6,1,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[3,4,2,5,6,1,7,8]=>[3,4,2,5,6,1,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[3,2,4,5,6,1,7,8]=>[3,2,4,5,6,1,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[2,3,4,5,6,1,7,8]=>[2,3,4,5,6,1,7,8]=>[[1,3,4,5,6,7,8],[2]]=>[2,6]
[6,5,4,3,1,2,7,8]=>[1,6,5,4,3,2,7,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[5,6,4,3,1,2,7,8]=>[1,5,6,4,3,2,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[6,4,5,3,1,2,7,8]=>[1,4,6,5,3,2,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[5,4,6,3,1,2,7,8]=>[1,5,4,6,3,2,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[4,5,6,3,1,2,7,8]=>[1,4,5,6,3,2,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[5,6,3,4,1,2,7,8]=>[1,3,5,6,4,2,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[5,4,3,6,1,2,7,8]=>[1,5,4,3,6,2,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[4,5,3,6,1,2,7,8]=>[1,4,5,3,6,2,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[4,3,5,6,1,2,7,8]=>[1,4,3,5,6,2,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[3,4,5,6,1,2,7,8]=>[1,3,4,5,6,2,7,8]=>[[1,2,4,5,6,7,8],[3]]=>[3,5]
[6,5,4,2,1,3,7,8]=>[2,6,5,4,1,3,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[5,6,4,2,1,3,7,8]=>[2,5,6,4,1,3,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[5,4,6,2,1,3,7,8]=>[2,5,4,6,1,3,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[4,5,6,2,1,3,7,8]=>[2,4,5,6,1,3,7,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[6,5,4,1,2,3,7,8]=>[1,2,6,5,4,3,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[6,4,5,1,2,3,7,8]=>[1,2,4,6,5,3,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>[4,2,2]
[4,5,6,1,2,3,7,8]=>[1,2,4,5,6,3,7,8]=>[[1,2,3,5,6,7,8],[4]]=>[4,4]
[5,6,3,2,1,4,7,8]=>[3,5,6,2,1,4,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[5,6,2,3,1,4,7,8]=>[2,3,5,6,1,4,7,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[6,5,3,1,2,4,7,8]=>[1,3,6,5,2,4,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[5,6,3,1,2,4,7,8]=>[1,3,5,6,2,4,7,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[6,5,1,2,3,4,7,8]=>[1,2,3,6,5,4,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[5,6,1,2,3,4,7,8]=>[1,2,3,5,6,4,7,8]=>[[1,2,3,4,6,7,8],[5]]=>[5,3]
[6,3,2,4,1,5,7,8]=>[3,2,6,4,1,5,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[6,2,3,4,1,5,7,8]=>[2,3,4,6,1,5,7,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[6,3,4,1,2,5,7,8]=>[1,3,4,6,2,5,7,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[6,4,2,1,3,5,7,8]=>[2,4,6,1,3,5,7,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[6,4,1,2,3,5,7,8]=>[1,2,4,6,3,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[6,2,3,1,4,5,7,8]=>[2,3,1,6,4,5,7,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[6,3,1,2,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[6,2,1,3,4,5,7,8]=>[2,1,3,6,4,5,7,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[6,1,2,3,4,5,7,8]=>[1,2,3,4,6,5,7,8]=>[[1,2,3,4,5,7,8],[6]]=>[6,2]
[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[4,5,3,2,1,6,7,8]=>[4,5,3,2,1,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[5,3,4,2,1,6,7,8]=>[3,5,4,2,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[4,3,5,2,1,6,7,8]=>[4,3,5,2,1,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[3,4,5,2,1,6,7,8]=>[3,4,5,2,1,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[5,4,2,3,1,6,7,8]=>[2,5,4,3,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[4,5,2,3,1,6,7,8]=>[2,4,5,3,1,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[5,3,2,4,1,6,7,8]=>[3,5,2,4,1,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[5,2,3,4,1,6,7,8]=>[2,3,5,4,1,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[4,3,2,5,1,6,7,8]=>[4,3,2,5,1,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[3,4,2,5,1,6,7,8]=>[3,4,2,5,1,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[4,2,3,5,1,6,7,8]=>[2,4,3,5,1,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[3,2,4,5,1,6,7,8]=>[3,2,4,5,1,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[2,3,4,5,1,6,7,8]=>[2,3,4,5,1,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>[2,6]
[5,4,3,1,2,6,7,8]=>[1,5,4,3,2,6,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[4,5,3,1,2,6,7,8]=>[1,4,5,3,2,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[3,4,5,1,2,6,7,8]=>[1,3,4,5,2,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>[3,5]
[5,4,2,1,3,6,7,8]=>[2,5,4,1,3,6,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[4,5,2,1,3,6,7,8]=>[2,4,5,1,3,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[5,4,1,2,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[5,3,2,1,4,6,7,8]=>[3,5,2,1,4,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[5,2,3,1,4,6,7,8]=>[2,3,5,1,4,6,7,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[5,3,1,2,4,6,7,8]=>[1,3,5,2,4,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[5,2,1,3,4,6,7,8]=>[2,1,5,3,4,6,7,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[5,1,2,3,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[[1,2,3,4,6,7,8],[5]]=>[5,3]
[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[3,4,2,1,5,6,7,8]=>[3,4,2,1,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[4,2,3,1,5,6,7,8]=>[2,4,3,1,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[3,2,4,1,5,6,7,8]=>[3,2,4,1,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[2,3,4,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>[2,6]
[4,3,1,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[3,4,1,2,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>[3,5]
[4,2,1,3,5,6,7,8]=>[2,4,1,3,5,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[4,1,2,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>[4,4]
[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[2,3,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>[2,6]
[3,1,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>[3,5]
[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>[2,6]
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8]]=>[8]
[6,8,7,5,4,3,2,1]=>[8,6,7,5,4,3,2,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[6,2]
[5,8,7,6,4,3,2,1]=>[8,7,5,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[5,3]
[5,7,8,6,4,3,2,1]=>[7,5,8,6,4,3,2,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[6,5,8,7,4,3,2,1]=>[8,6,5,7,4,3,2,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[6,2]
[5,6,8,7,4,3,2,1]=>[8,5,6,7,4,3,2,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[5,3]
[5,7,6,8,4,3,2,1]=>[7,5,6,8,4,3,2,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[4,8,7,6,5,3,2,1]=>[8,7,6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[4,4]
[4,6,8,7,5,3,2,1]=>[8,6,4,7,5,3,2,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[4,7,6,8,5,3,2,1]=>[7,6,4,8,5,3,2,1]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[4,3,1]
[4,6,7,8,5,3,2,1]=>[6,4,7,8,5,3,2,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[5,4,8,7,6,3,2,1]=>[8,7,5,4,6,3,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[5,3]
[4,5,8,7,6,3,2,1]=>[8,7,4,5,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[4,5,7,8,6,3,2,1]=>[7,4,5,8,6,3,2,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[5,6,4,8,7,3,2,1]=>[8,5,6,4,7,3,2,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[5,3]
[4,6,5,8,7,3,2,1]=>[8,6,4,5,7,3,2,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[4,5,6,8,7,3,2,1]=>[8,4,5,6,7,3,2,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[5,7,6,4,8,3,2,1]=>[7,5,6,4,8,3,2,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[4,7,6,5,8,3,2,1]=>[7,6,4,5,8,3,2,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[4,6,7,5,8,3,2,1]=>[6,4,7,5,8,3,2,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[5,4,7,6,8,3,2,1]=>[7,5,4,6,8,3,2,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[4,5,7,6,8,3,2,1]=>[7,4,5,6,8,3,2,1]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[4,6,5,7,8,3,2,1]=>[6,4,5,7,8,3,2,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[3,8,7,6,5,4,2,1]=>[8,7,6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>[3,5]
[3,7,8,6,5,4,2,1]=>[7,8,6,3,5,4,2,1]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[3,6,8,7,5,4,2,1]=>[8,6,7,3,5,4,2,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[3,7,6,8,5,4,2,1]=>[7,6,8,3,5,4,2,1]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[3,5,8,7,6,4,2,1]=>[8,7,5,3,6,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[3,5,7,8,6,4,2,1]=>[7,5,3,8,6,4,2,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,5,7,6,8,4,2,1]=>[7,5,3,6,8,4,2,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[3,5,6,7,8,4,2,1]=>[5,3,6,7,8,4,2,1]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[4,3,8,7,6,5,2,1]=>[8,7,6,4,3,5,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[4,4]
[4,3,7,8,6,5,2,1]=>[7,8,4,3,6,5,2,1]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[4,3,6,8,7,5,2,1]=>[8,6,4,3,7,5,2,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[4,3,7,6,8,5,2,1]=>[7,6,4,3,8,5,2,1]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[4,3,1]
[3,4,8,7,6,5,2,1]=>[8,7,6,3,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[3,4,7,8,6,5,2,1]=>[7,8,3,4,6,5,2,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[3,4,6,7,8,5,2,1]=>[6,3,4,7,8,5,2,1]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[5,4,3,8,7,6,2,1]=>[8,7,5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[5,3]
[3,5,4,8,7,6,2,1]=>[8,7,5,3,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[3,5,4,7,8,6,2,1]=>[7,5,3,4,8,6,2,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[4,3,5,8,7,6,2,1]=>[8,7,4,3,5,6,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[3,4,5,8,7,6,2,1]=>[8,7,3,4,5,6,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[3,4,5,7,8,6,2,1]=>[7,3,4,5,8,6,2,1]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[6,5,4,3,8,7,2,1]=>[8,6,5,4,3,7,2,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[6,2]
[3,5,6,4,8,7,2,1]=>[8,5,3,6,4,7,2,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[4,3,6,5,8,7,2,1]=>[8,6,4,3,5,7,2,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[3,5,4,6,8,7,2,1]=>[8,5,3,4,6,7,2,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[4,3,5,6,8,7,2,1]=>[8,4,3,5,6,7,2,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[3,4,5,6,8,7,2,1]=>[8,3,4,5,6,7,2,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[5,7,6,4,3,8,2,1]=>[7,5,6,4,3,8,2,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[5,4,7,6,3,8,2,1]=>[7,5,4,6,3,8,2,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[4,5,7,6,3,8,2,1]=>[7,4,5,6,3,8,2,1]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[4,6,5,7,3,8,2,1]=>[6,4,5,7,3,8,2,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[3,7,6,5,4,8,2,1]=>[7,6,5,3,4,8,2,1]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[3,6,7,5,4,8,2,1]=>[6,7,3,5,4,8,2,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[3,5,6,7,4,8,2,1]=>[5,3,6,7,4,8,2,1]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[4,3,7,6,5,8,2,1]=>[7,6,4,3,5,8,2,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[3,4,7,6,5,8,2,1]=>[7,6,3,4,5,8,2,1]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[3,4,6,7,5,8,2,1]=>[6,3,4,7,5,8,2,1]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[5,4,3,7,6,8,2,1]=>[7,5,4,3,6,8,2,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[3,5,4,7,6,8,2,1]=>[7,5,3,4,6,8,2,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[3,4,5,7,6,8,2,1]=>[7,3,4,5,6,8,2,1]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[3,6,5,4,7,8,2,1]=>[6,5,3,4,7,8,2,1]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[3,4,6,5,7,8,2,1]=>[6,3,4,5,7,8,2,1]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[3,5,4,6,7,8,2,1]=>[5,3,4,6,7,8,2,1]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[2,8,7,6,5,4,3,1]=>[8,7,6,5,4,2,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>[2,6]
[2,7,8,6,5,4,3,1]=>[7,8,6,5,2,4,3,1]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[2,6,8,7,5,4,3,1]=>[8,6,7,5,2,4,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[2,7,6,8,5,4,3,1]=>[7,6,8,5,2,4,3,1]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[2,6,7,8,5,4,3,1]=>[6,7,8,2,5,4,3,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[2,6,5,8,7,4,3,1]=>[8,6,5,7,2,4,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[2,5,6,8,7,4,3,1]=>[8,5,6,2,7,4,3,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[2,7,6,5,8,4,3,1]=>[7,6,5,8,2,4,3,1]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[2,5,7,6,8,4,3,1]=>[7,5,6,2,8,4,3,1]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[2,6,5,7,8,4,3,1]=>[6,5,7,2,8,4,3,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[2,5,6,7,8,4,3,1]=>[5,6,2,7,8,4,3,1]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[2,4,7,8,6,5,3,1]=>[7,8,4,2,6,5,3,1]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[2,4,6,8,7,5,3,1]=>[8,6,4,2,7,5,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[2,4,5,7,8,6,3,1]=>[7,4,2,5,8,6,3,1]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[2,6,5,4,8,7,3,1]=>[8,6,5,4,2,7,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[2,5,6,4,8,7,3,1]=>[8,5,6,2,4,7,3,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[2,4,5,6,8,7,3,1]=>[8,4,2,5,6,7,3,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[2,6,7,5,4,8,3,1]=>[6,7,5,2,4,8,3,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[2,4,7,6,5,8,3,1]=>[7,6,4,2,5,8,3,1]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[2,4,6,7,5,8,3,1]=>[6,4,2,7,5,8,3,1]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[2,5,4,7,6,8,3,1]=>[7,5,4,2,6,8,3,1]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[2,6,5,4,7,8,3,1]=>[6,5,4,2,7,8,3,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[2,5,6,4,7,8,3,1]=>[5,6,2,4,7,8,3,1]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[2,4,5,6,7,8,3,1]=>[4,2,5,6,7,8,3,1]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[3,2,8,7,6,5,4,1]=>[8,7,6,5,3,2,4,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>[3,5]
[3,2,7,8,6,5,4,1]=>[7,8,6,3,2,5,4,1]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[3,2,7,6,8,5,4,1]=>[7,6,8,3,2,5,4,1]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[3,2,5,8,7,6,4,1]=>[8,7,5,3,2,6,4,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[3,2,5,7,8,6,4,1]=>[7,5,3,2,8,6,4,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,2,6,7,5,8,4,1]=>[6,7,3,2,5,8,4,1]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[2,3,8,7,6,5,4,1]=>[8,7,6,5,2,3,4,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[2,3,7,8,6,5,4,1]=>[7,8,6,2,3,5,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[2,3,6,8,7,5,4,1]=>[8,6,7,2,3,5,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[2,3,6,7,8,5,4,1]=>[6,7,2,3,8,5,4,1]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[2,3,5,7,8,6,4,1]=>[7,5,2,3,8,6,4,1]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[2,3,5,6,8,7,4,1]=>[8,5,2,3,6,7,4,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[2,3,5,7,6,8,4,1]=>[7,5,2,3,6,8,4,1]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[2,3,6,5,7,8,4,1]=>[6,5,2,3,7,8,4,1]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[2,3,5,6,7,8,4,1]=>[5,2,3,6,7,8,4,1]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[4,3,2,8,7,6,5,1]=>[8,7,6,4,3,2,5,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[4,4]
[4,3,2,6,7,8,5,1]=>[6,4,3,2,7,8,5,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[3,4,2,8,7,6,5,1]=>[8,7,6,3,4,2,5,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[3,4,2,6,7,8,5,1]=>[6,3,4,2,7,8,5,1]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[2,4,3,6,7,8,5,1]=>[6,4,2,3,7,8,5,1]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[3,2,4,8,7,6,5,1]=>[8,7,6,3,2,4,5,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[3,2,4,7,8,6,5,1]=>[7,8,3,2,4,6,5,1]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[2,3,4,8,7,6,5,1]=>[8,7,6,2,3,4,5,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[2,3,4,7,8,6,5,1]=>[7,8,2,3,4,6,5,1]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[2,3,4,6,7,8,5,1]=>[6,2,3,4,7,8,5,1]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[5,4,3,2,7,8,6,1]=>[7,5,4,3,2,8,6,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[4,5,3,2,7,8,6,1]=>[7,4,5,3,2,8,6,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[2,4,5,3,8,7,6,1]=>[8,7,4,2,5,3,6,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[2,3,5,4,7,8,6,1]=>[7,5,2,3,4,8,6,1]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[4,3,2,5,8,7,6,1]=>[8,7,4,3,2,5,6,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[3,4,2,5,7,8,6,1]=>[7,3,4,2,5,8,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[2,3,4,5,8,7,6,1]=>[8,7,2,3,4,5,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[2,3,4,5,7,8,6,1]=>[7,2,3,4,5,8,6,1]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[6,5,4,3,2,8,7,1]=>[8,6,5,4,3,2,7,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[6,2]
[4,3,6,5,2,8,7,1]=>[8,6,4,3,5,2,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[4,5,3,6,2,8,7,1]=>[8,4,5,3,6,2,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[2,6,5,4,3,8,7,1]=>[8,6,5,4,2,3,7,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[3,2,6,5,4,8,7,1]=>[8,6,5,3,2,4,7,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[3,3,2]
[2,4,3,6,5,8,7,1]=>[8,6,4,2,3,5,7,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[2,3,4,6,5,8,7,1]=>[8,6,2,3,4,5,7,1]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[5,4,3,2,6,8,7,1]=>[8,5,4,3,2,6,7,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[5,3]
[4,5,3,2,6,8,7,1]=>[8,4,5,3,2,6,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[3,5,4,2,6,8,7,1]=>[8,5,3,4,2,6,7,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[3,4,5,2,6,8,7,1]=>[8,3,4,5,2,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[2,5,4,3,6,8,7,1]=>[8,5,4,2,3,6,7,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[2,4,5,3,6,8,7,1]=>[8,4,2,5,3,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[4,3,2,5,6,8,7,1]=>[8,4,3,2,5,6,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[3,4,2,5,6,8,7,1]=>[8,3,4,2,5,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[2,4,3,5,6,8,7,1]=>[8,4,2,3,5,6,7,1]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[3,2,4,5,6,8,7,1]=>[8,3,2,4,5,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[2,3,4,5,6,8,7,1]=>[8,2,3,4,5,6,7,1]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[4,7,6,5,3,2,8,1]=>[7,6,4,5,3,2,8,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[4,6,7,5,3,2,8,1]=>[6,4,7,5,3,2,8,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[4,5,7,6,3,2,8,1]=>[7,4,5,6,3,2,8,1]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[4,6,5,7,3,2,8,1]=>[6,4,5,7,3,2,8,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[3,5,7,6,4,2,8,1]=>[7,5,3,6,4,2,8,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[3,5,6,7,4,2,8,1]=>[5,3,6,7,4,2,8,1]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[4,3,7,6,5,2,8,1]=>[7,6,4,3,5,2,8,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[3,4,7,6,5,2,8,1]=>[7,6,3,4,5,2,8,1]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[5,4,3,7,6,2,8,1]=>[7,5,4,3,6,2,8,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[4,5,3,7,6,2,8,1]=>[7,4,5,3,6,2,8,1]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[3,5,4,7,6,2,8,1]=>[7,5,3,4,6,2,8,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[3,4,5,7,6,2,8,1]=>[7,3,4,5,6,2,8,1]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[4,6,5,3,7,2,8,1]=>[6,4,5,3,7,2,8,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[3,6,5,4,7,2,8,1]=>[6,5,3,4,7,2,8,1]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[3,5,6,4,7,2,8,1]=>[5,3,6,4,7,2,8,1]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[4,3,6,5,7,2,8,1]=>[6,4,3,5,7,2,8,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[3,4,6,5,7,2,8,1]=>[6,3,4,5,7,2,8,1]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[2,7,6,5,4,3,8,1]=>[7,6,5,4,2,3,8,1]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[2,5,7,6,4,3,8,1]=>[7,5,6,2,4,3,8,1]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[2,5,6,7,4,3,8,1]=>[5,6,2,7,4,3,8,1]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[2,4,6,7,5,3,8,1]=>[6,4,2,7,5,3,8,1]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[2,5,4,7,6,3,8,1]=>[7,5,4,2,6,3,8,1]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[2,4,5,7,6,3,8,1]=>[7,4,2,5,6,3,8,1]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[2,5,6,4,7,3,8,1]=>[5,6,2,4,7,3,8,1]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[2,5,4,6,7,3,8,1]=>[5,4,2,6,7,3,8,1]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[2,4,5,6,7,3,8,1]=>[4,2,5,6,7,3,8,1]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[3,2,6,7,5,4,8,1]=>[6,7,3,2,5,4,8,1]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[3,2,5,7,6,4,8,1]=>[7,5,3,2,6,4,8,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[3,2,6,5,7,4,8,1]=>[6,5,3,2,7,4,8,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[3,2,5,6,7,4,8,1]=>[5,3,2,6,7,4,8,1]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[2,3,7,6,5,4,8,1]=>[7,6,5,2,3,4,8,1]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[2,3,5,6,7,4,8,1]=>[5,2,3,6,7,4,8,1]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[2,4,3,7,6,5,8,1]=>[7,6,4,2,3,5,8,1]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[2,4,3,6,7,5,8,1]=>[6,4,2,3,7,5,8,1]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[3,2,4,7,6,5,8,1]=>[7,6,3,2,4,5,8,1]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[2,3,4,7,6,5,8,1]=>[7,6,2,3,4,5,8,1]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[5,4,3,2,7,6,8,1]=>[7,5,4,3,2,6,8,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[4,3,5,2,7,6,8,1]=>[7,4,3,5,2,6,8,1]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[2,5,4,3,7,6,8,1]=>[7,5,4,2,3,6,8,1]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[3,2,5,4,7,6,8,1]=>[7,5,3,2,4,6,8,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[2,3,5,4,7,6,8,1]=>[7,5,2,3,4,6,8,1]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[4,3,2,5,7,6,8,1]=>[7,4,3,2,5,6,8,1]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[3,2,4,5,7,6,8,1]=>[7,3,2,4,5,6,8,1]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[2,3,4,5,7,6,8,1]=>[7,2,3,4,5,6,8,1]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[3,6,5,4,2,7,8,1]=>[6,5,3,4,2,7,8,1]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[3,4,6,5,2,7,8,1]=>[6,3,4,5,2,7,8,1]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[2,6,5,4,3,7,8,1]=>[6,5,4,2,3,7,8,1]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[2,5,4,6,3,7,8,1]=>[5,4,2,6,3,7,8,1]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[3,2,5,6,4,7,8,1]=>[5,3,2,6,4,7,8,1]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[2,3,6,5,4,7,8,1]=>[6,5,2,3,4,7,8,1]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[2,3,4,6,5,7,8,1]=>[6,2,3,4,5,7,8,1]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[3,5,4,2,6,7,8,1]=>[5,3,4,2,6,7,8,1]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[2,5,4,3,6,7,8,1]=>[5,4,2,3,6,7,8,1]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[2,4,5,3,6,7,8,1]=>[4,2,5,3,6,7,8,1]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[3,2,5,4,6,7,8,1]=>[5,3,2,4,6,7,8,1]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[2,3,5,4,6,7,8,1]=>[5,2,3,4,6,7,8,1]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[2,4,3,5,6,7,8,1]=>[4,2,3,5,6,7,8,1]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[1,8,7,6,5,4,3,2]=>[8,7,6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[8]
[1,7,8,6,5,4,3,2]=>[7,8,6,5,4,1,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[1,6,8,7,5,4,3,2]=>[8,6,7,5,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[1,7,6,8,5,4,3,2]=>[7,6,8,5,4,1,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[1,6,7,8,5,4,3,2]=>[6,7,8,5,1,4,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[1,5,8,7,6,4,3,2]=>[8,7,5,6,4,1,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[1,5,7,8,6,4,3,2]=>[7,5,8,6,1,4,3,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[1,6,5,8,7,4,3,2]=>[8,6,5,7,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[1,5,6,8,7,4,3,2]=>[8,5,6,7,1,4,3,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[1,7,6,5,8,4,3,2]=>[7,6,5,8,4,1,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[1,6,7,5,8,4,3,2]=>[6,7,5,8,1,4,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[1,5,7,6,8,4,3,2]=>[7,5,6,8,1,4,3,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[1,6,5,7,8,4,3,2]=>[6,5,7,8,1,4,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[1,5,6,7,8,4,3,2]=>[5,6,7,1,8,4,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[1,4,8,7,6,5,3,2]=>[8,7,6,4,5,1,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[1,4,6,8,7,5,3,2]=>[8,6,4,7,1,5,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[1,4,7,6,8,5,3,2]=>[7,6,4,8,1,5,3,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[1,5,4,7,8,6,3,2]=>[7,5,4,8,1,6,3,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[1,5,4,6,8,7,3,2]=>[8,5,4,6,1,7,3,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[1,7,6,5,4,8,3,2]=>[7,6,5,4,8,1,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[1,4,6,7,5,8,3,2]=>[6,4,7,1,5,8,3,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[1,4,5,7,6,8,3,2]=>[7,4,5,1,6,8,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[1,5,4,6,7,8,3,2]=>[5,4,6,1,7,8,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[1,4,5,6,7,8,3,2]=>[4,5,1,6,7,8,3,2]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[1,3,8,7,6,5,4,2]=>[8,7,6,5,3,1,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[1,3,7,8,6,5,4,2]=>[7,8,6,3,1,5,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[1,3,7,6,8,5,4,2]=>[7,6,8,3,1,5,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[1,3,6,7,8,5,4,2]=>[6,7,3,1,8,5,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[1,3,5,8,7,6,4,2]=>[8,7,5,3,1,6,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[1,3,5,7,8,6,4,2]=>[7,5,3,1,8,6,4,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[1,3,7,6,5,8,4,2]=>[7,6,5,3,1,8,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[1,3,6,7,5,8,4,2]=>[6,7,3,1,5,8,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[1,3,6,5,7,8,4,2]=>[6,5,3,1,7,8,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[1,3,5,6,7,8,4,2]=>[5,3,1,6,7,8,4,2]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[1,4,3,8,7,6,5,2]=>[8,7,6,4,3,1,5,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[1,4,3,7,6,8,5,2]=>[7,6,4,3,1,8,5,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[1,4,3,6,7,8,5,2]=>[6,4,3,1,7,8,5,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[1,3,4,7,8,6,5,2]=>[7,8,3,1,4,6,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[1,3,4,6,8,7,5,2]=>[8,6,3,1,4,7,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[1,5,4,3,8,7,6,2]=>[8,7,5,4,3,1,6,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[1,5,4,3,7,8,6,2]=>[7,5,4,3,1,8,6,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[1,3,5,4,8,7,6,2]=>[8,7,5,3,1,4,6,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[1,3,5,4,7,8,6,2]=>[7,5,3,1,4,8,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[1,4,3,5,8,7,6,2]=>[8,7,4,3,1,5,6,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[1,4,3,5,7,8,6,2]=>[7,4,3,1,5,8,6,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[1,3,4,5,8,7,6,2]=>[8,7,3,1,4,5,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[1,6,5,4,3,8,7,2]=>[8,6,5,4,3,1,7,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[1,3,5,6,4,8,7,2]=>[8,5,3,1,6,4,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[1,4,3,6,5,8,7,2]=>[8,6,4,3,1,5,7,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[1,3,4,6,5,8,7,2]=>[8,6,3,1,4,5,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[1,5,4,3,6,8,7,2]=>[8,5,4,3,1,6,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[1,3,5,4,6,8,7,2]=>[8,5,3,1,4,6,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[1,4,3,5,6,8,7,2]=>[8,4,3,1,5,6,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[1,3,4,5,6,8,7,2]=>[8,3,1,4,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[1,7,6,5,4,3,8,2]=>[7,6,5,4,3,1,8,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[1,5,7,6,4,3,8,2]=>[7,5,6,4,1,3,8,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[1,6,5,7,4,3,8,2]=>[6,5,7,4,1,3,8,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[1,4,6,7,5,3,8,2]=>[6,4,7,1,5,3,8,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[1,6,5,4,7,3,8,2]=>[6,5,4,7,1,3,8,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[1,5,6,4,7,3,8,2]=>[5,6,4,1,7,3,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[1,5,4,6,7,3,8,2]=>[5,4,6,1,7,3,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[1,4,5,6,7,3,8,2]=>[4,5,1,6,7,3,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[1,3,5,7,6,4,8,2]=>[7,5,3,1,6,4,8,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[1,3,5,6,7,4,8,2]=>[5,3,1,6,7,4,8,2]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[1,3,4,7,6,5,8,2]=>[7,6,3,1,4,5,8,2]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[1,3,4,6,7,5,8,2]=>[6,3,1,4,7,5,8,2]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[1,3,5,4,7,6,8,2]=>[7,5,3,1,4,6,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[1,3,4,5,7,6,8,2]=>[7,3,1,4,5,6,8,2]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[1,6,5,4,3,7,8,2]=>[6,5,4,3,1,7,8,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[1,5,4,6,3,7,8,2]=>[5,4,6,1,3,7,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[1,4,3,6,5,7,8,2]=>[6,4,3,1,5,7,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[1,5,4,3,6,7,8,2]=>[5,4,3,1,6,7,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[1,4,5,3,6,7,8,2]=>[4,5,1,3,6,7,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[1,3,5,4,6,7,8,2]=>[5,3,1,4,6,7,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[1,4,3,5,6,7,8,2]=>[4,3,1,5,6,7,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[1,3,4,5,6,7,8,2]=>[3,1,4,5,6,7,8,2]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[2,1,8,7,6,5,4,3]=>[8,7,6,5,4,2,1,3]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>[2,6]
[2,1,7,8,6,5,4,3]=>[7,8,6,5,2,1,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[2,1,6,8,7,5,4,3]=>[8,6,7,5,2,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[2,1,7,6,8,5,4,3]=>[7,6,8,5,2,1,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[2,1,6,7,8,5,4,3]=>[6,7,8,2,1,5,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[2,1,5,8,7,6,4,3]=>[8,7,5,6,2,1,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[2,1,5,7,8,6,4,3]=>[7,5,8,2,1,6,4,3]=>[[1,3],[2,4],[5,6],[7,8]]=>[2,3,2,1]
[2,1,6,5,8,7,4,3]=>[8,6,5,7,2,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[2,1,7,6,5,8,4,3]=>[7,6,5,8,2,1,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[2,1,6,7,5,8,4,3]=>[6,7,5,2,1,8,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[2,1,5,7,6,8,4,3]=>[7,5,6,2,1,8,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[2,1,6,5,7,8,4,3]=>[6,5,7,2,1,8,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[2,1,5,6,7,8,4,3]=>[5,6,2,1,7,8,4,3]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[2,1,4,8,7,6,5,3]=>[8,7,6,4,2,1,5,3]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[2,1,4,7,8,6,5,3]=>[7,8,4,2,1,6,5,3]=>[[1,3],[2,5],[4,6],[7,8]]=>[2,2,3,1]
[2,1,4,6,8,7,5,3]=>[8,6,4,2,1,7,5,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[2,1,4,6,7,8,5,3]=>[6,4,2,1,7,8,5,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[2,1,5,4,7,8,6,3]=>[7,5,4,2,1,8,6,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[2,1,4,5,8,7,6,3]=>[8,7,4,2,1,5,6,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[2,1,4,5,7,8,6,3]=>[7,4,2,1,5,8,6,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[2,1,6,5,4,8,7,3]=>[8,6,5,4,2,1,7,3]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[2,1,5,4,6,8,7,3]=>[8,5,4,2,1,6,7,3]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[2,1,4,5,6,8,7,3]=>[8,4,2,1,5,6,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[2,1,7,6,5,4,8,3]=>[7,6,5,4,2,1,8,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[2,1,6,5,7,4,8,3]=>[6,5,7,2,1,4,8,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[2,1,4,7,6,5,8,3]=>[7,6,4,2,1,5,8,3]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[2,1,4,6,7,5,8,3]=>[6,4,2,1,7,5,8,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[2,1,5,4,7,6,8,3]=>[7,5,4,2,1,6,8,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[2,1,6,5,4,7,8,3]=>[6,5,4,2,1,7,8,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[2,1,5,4,6,7,8,3]=>[5,4,2,1,6,7,8,3]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[2,1,4,5,6,7,8,3]=>[4,2,1,5,6,7,8,3]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[1,2,8,7,6,5,4,3]=>[8,7,6,5,4,1,2,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[1,2,7,8,6,5,4,3]=>[7,8,6,5,1,2,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[1,2,6,7,8,5,4,3]=>[6,7,8,1,2,5,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[1,2,5,8,7,6,4,3]=>[8,7,5,6,1,2,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[1,2,5,7,8,6,4,3]=>[7,5,8,1,2,6,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[1,2,5,6,8,7,4,3]=>[8,5,6,1,2,7,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[1,2,7,6,5,8,4,3]=>[7,6,5,8,1,2,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[1,2,5,7,6,8,4,3]=>[7,5,6,1,2,8,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[1,2,5,6,7,8,4,3]=>[5,6,1,2,7,8,4,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[1,2,4,8,7,6,5,3]=>[8,7,6,4,1,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[1,2,4,7,8,6,5,3]=>[7,8,4,1,2,6,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[1,2,4,6,8,7,5,3]=>[8,6,4,1,2,7,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[1,2,5,4,8,7,6,3]=>[8,7,5,4,1,2,6,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[1,2,4,5,8,7,6,3]=>[8,7,4,1,2,5,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[1,2,6,5,4,8,7,3]=>[8,6,5,4,1,2,7,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[1,2,4,6,5,8,7,3]=>[8,6,4,1,2,5,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[1,2,7,6,5,4,8,3]=>[7,6,5,4,1,2,8,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[1,2,5,7,6,4,8,3]=>[7,5,6,1,2,4,8,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[1,2,5,6,7,4,8,3]=>[5,6,1,2,7,4,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[1,2,4,7,6,5,8,3]=>[7,6,4,1,2,5,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[1,2,4,6,7,5,8,3]=>[6,4,1,2,7,5,8,3]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[1,2,5,4,7,6,8,3]=>[7,5,4,1,2,6,8,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[1,2,6,5,4,7,8,3]=>[6,5,4,1,2,7,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[1,2,5,6,4,7,8,3]=>[5,6,1,2,4,7,8,3]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[1,2,4,6,5,7,8,3]=>[6,4,1,2,5,7,8,3]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[1,2,5,4,6,7,8,3]=>[5,4,1,2,6,7,8,3]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[1,2,4,5,6,7,8,3]=>[4,1,2,5,6,7,8,3]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[3,2,1,8,7,6,5,4]=>[8,7,6,5,3,2,1,4]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>[3,5]
[3,2,1,7,8,6,5,4]=>[7,8,6,3,2,1,5,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[3,2,1,7,6,8,5,4]=>[7,6,8,3,2,1,5,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[3,2,1,5,8,7,6,4]=>[8,7,5,3,2,1,6,4]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[3,2,1,5,7,8,6,4]=>[7,5,3,2,1,8,6,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,2,1,6,5,8,7,4]=>[8,6,5,3,2,1,7,4]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[3,2,1,5,6,8,7,4]=>[8,5,3,2,1,6,7,4]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[3,2,1,7,6,5,8,4]=>[7,6,5,3,2,1,8,4]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[3,2,1,5,7,6,8,4]=>[7,5,3,2,1,6,8,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[3,2,1,6,5,7,8,4]=>[6,5,3,2,1,7,8,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[3,2,1,5,6,7,8,4]=>[5,3,2,1,6,7,8,4]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[2,3,1,8,7,6,5,4]=>[8,7,6,5,2,3,1,4]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[2,3,1,6,8,7,5,4]=>[8,6,7,2,3,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[2,3,1,7,6,8,5,4]=>[7,6,8,2,3,1,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[2,3,1,5,7,8,6,4]=>[7,5,2,3,1,8,6,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[2,3,1,6,5,8,7,4]=>[8,6,5,2,3,1,7,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[2,3,1,5,6,8,7,4]=>[8,5,2,3,1,6,7,4]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[2,3,1,6,7,5,8,4]=>[6,7,2,3,1,5,8,4]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[2,3,1,5,7,6,8,4]=>[7,5,2,3,1,6,8,4]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[2,3,1,6,5,7,8,4]=>[6,5,2,3,1,7,8,4]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[2,3,1,5,6,7,8,4]=>[5,2,3,1,6,7,8,4]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[1,3,2,8,7,6,5,4]=>[8,7,6,5,3,1,2,4]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[1,3,2,7,8,6,5,4]=>[7,8,6,3,1,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[1,3,2,7,6,8,5,4]=>[7,6,8,3,1,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[1,3,2,5,8,7,6,4]=>[8,7,5,3,1,2,6,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[1,3,2,5,7,8,6,4]=>[7,5,3,1,2,8,6,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[1,3,2,6,5,8,7,4]=>[8,6,5,3,1,2,7,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[1,3,2,5,6,8,7,4]=>[8,5,3,1,2,6,7,4]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[1,3,2,7,6,5,8,4]=>[7,6,5,3,1,2,8,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[1,3,2,6,5,7,8,4]=>[6,5,3,1,2,7,8,4]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[1,3,2,5,6,7,8,4]=>[5,3,1,2,6,7,8,4]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[2,1,3,8,7,6,5,4]=>[8,7,6,5,2,1,3,4]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[2,1,3,7,8,6,5,4]=>[7,8,6,2,1,3,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[2,1,3,6,8,7,5,4]=>[8,6,7,2,1,3,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[2,1,3,7,6,8,5,4]=>[7,6,8,2,1,3,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[2,1,3,6,7,8,5,4]=>[6,7,2,1,3,8,5,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[2,1,3,5,8,7,6,4]=>[8,7,5,2,1,3,6,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[2,1,3,5,7,8,6,4]=>[7,5,2,1,3,8,6,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[2,1,3,6,5,7,8,4]=>[6,5,2,1,3,7,8,4]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[2,1,3,5,6,7,8,4]=>[5,2,1,3,6,7,8,4]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[1,2,3,8,7,6,5,4]=>[8,7,6,5,1,2,3,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[1,2,3,7,6,8,5,4]=>[7,6,8,1,2,3,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,2,3,5,7,8,6,4]=>[7,5,1,2,3,8,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[1,2,3,5,6,8,7,4]=>[8,5,1,2,3,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[1,2,3,7,6,5,8,4]=>[7,6,5,1,2,3,8,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,2,3,6,7,5,8,4]=>[6,7,1,2,3,5,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[1,2,3,6,5,7,8,4]=>[6,5,1,2,3,7,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[1,2,3,5,6,7,8,4]=>[5,1,2,3,6,7,8,4]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[4,3,2,1,8,7,6,5]=>[8,7,6,4,3,2,1,5]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[4,4]
[4,3,2,1,7,8,6,5]=>[7,8,4,3,2,1,6,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[4,3,2,1,6,8,7,5]=>[8,6,4,3,2,1,7,5]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[4,3,2,1,7,6,8,5]=>[7,6,4,3,2,1,8,5]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[4,3,1]
[4,3,2,1,6,7,8,5]=>[6,4,3,2,1,7,8,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[3,4,2,1,8,7,6,5]=>[8,7,6,3,4,2,1,5]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[3,4,2,1,7,8,6,5]=>[7,8,3,4,2,1,6,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[3,4,2,1,7,6,8,5]=>[7,6,3,4,2,1,8,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[3,4,2,1,6,7,8,5]=>[6,3,4,2,1,7,8,5]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[2,4,3,1,8,7,6,5]=>[8,7,6,4,2,3,1,5]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[2,4,3,1,6,8,7,5]=>[8,6,4,2,3,1,7,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[2,4,3,1,7,6,8,5]=>[7,6,4,2,3,1,8,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[3,2,4,1,8,7,6,5]=>[8,7,6,3,2,4,1,5]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[3,2,4,1,7,8,6,5]=>[7,8,3,2,4,1,6,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[3,2,4,1,6,8,7,5]=>[8,6,3,2,4,1,7,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[3,2,4,1,7,6,8,5]=>[7,6,3,2,4,1,8,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[2,3,4,1,8,7,6,5]=>[8,7,6,2,3,4,1,5]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[2,3,4,1,7,8,6,5]=>[7,8,2,3,4,1,6,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[2,3,4,1,6,8,7,5]=>[8,6,2,3,4,1,7,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[2,3,4,1,7,6,8,5]=>[7,6,2,3,4,1,8,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[2,3,4,1,6,7,8,5]=>[6,2,3,4,1,7,8,5]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[1,4,3,2,8,7,6,5]=>[8,7,6,4,3,1,2,5]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[1,4,3,2,7,6,8,5]=>[7,6,4,3,1,2,8,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[1,4,3,2,6,7,8,5]=>[6,4,3,1,2,7,8,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[1,3,4,2,8,7,6,5]=>[8,7,6,3,1,4,2,5]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[1,3,4,2,7,8,6,5]=>[7,8,3,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[1,3,4,2,6,8,7,5]=>[8,6,3,1,4,2,7,5]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[1,3,4,2,7,6,8,5]=>[7,6,3,1,4,2,8,5]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[1,3,4,2,6,7,8,5]=>[6,3,1,4,2,7,8,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[2,1,4,3,8,7,6,5]=>[8,7,6,4,2,1,3,5]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[2,1,4,3,7,8,6,5]=>[7,8,4,2,1,3,6,5]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[2,1,4,3,6,8,7,5]=>[8,6,4,2,1,3,7,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[2,1,4,3,7,6,8,5]=>[7,6,4,2,1,3,8,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[2,1,4,3,6,7,8,5]=>[6,4,2,1,3,7,8,5]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[1,2,4,3,8,7,6,5]=>[8,7,6,4,1,2,3,5]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[1,2,4,3,6,8,7,5]=>[8,6,4,1,2,3,7,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[1,2,4,3,7,6,8,5]=>[7,6,4,1,2,3,8,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[1,2,4,3,6,7,8,5]=>[6,4,1,2,3,7,8,5]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[3,2,1,4,8,7,6,5]=>[8,7,6,3,2,1,4,5]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[3,2,1,4,7,8,6,5]=>[7,8,3,2,1,4,6,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[3,2,1,4,6,8,7,5]=>[8,6,3,2,1,4,7,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[3,2,1,4,6,7,8,5]=>[6,3,2,1,4,7,8,5]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[2,3,1,4,8,7,6,5]=>[8,7,6,2,3,1,4,5]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[2,3,1,4,6,7,8,5]=>[6,2,3,1,4,7,8,5]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[1,3,2,4,8,7,6,5]=>[8,7,6,3,1,2,4,5]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[1,3,2,4,7,8,6,5]=>[7,8,3,1,2,4,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[1,3,2,4,6,8,7,5]=>[8,6,3,1,2,4,7,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[1,3,2,4,7,6,8,5]=>[7,6,3,1,2,4,8,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[1,3,2,4,6,7,8,5]=>[6,3,1,2,4,7,8,5]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[2,1,3,4,8,7,6,5]=>[8,7,6,2,1,3,4,5]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[2,1,3,4,7,8,6,5]=>[7,8,2,1,3,4,6,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[2,1,3,4,6,7,8,5]=>[6,2,1,3,4,7,8,5]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[1,2,3,4,8,7,6,5]=>[8,7,6,1,2,3,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[1,2,3,4,7,8,6,5]=>[7,8,1,2,3,4,6,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[1,2,3,4,6,8,7,5]=>[8,6,1,2,3,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,2,3,4,7,6,8,5]=>[7,6,1,2,3,4,8,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[1,2,3,4,6,7,8,5]=>[6,1,2,3,4,7,8,5]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[5,4,3,2,1,8,7,6]=>[8,7,5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[5,3]
[5,4,3,2,1,7,8,6]=>[7,5,4,3,2,1,8,6]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[4,5,3,2,1,8,7,6]=>[8,7,4,5,3,2,1,6]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[3,5,4,2,1,8,7,6]=>[8,7,5,3,4,2,1,6]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[3,4,5,2,1,8,7,6]=>[8,7,3,4,5,2,1,6]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[2,5,4,3,1,7,8,6]=>[7,5,4,2,3,1,8,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[2,4,5,3,1,8,7,6]=>[8,7,4,2,5,3,1,6]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[3,2,5,4,1,8,7,6]=>[8,7,5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[3,2,5,4,1,7,8,6]=>[7,5,3,2,4,1,8,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[4,3,2,5,1,8,7,6]=>[8,7,4,3,2,5,1,6]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[3,4,2,5,1,8,7,6]=>[8,7,3,4,2,5,1,6]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[3,2,4,5,1,7,8,6]=>[7,3,2,4,5,1,8,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[2,3,4,5,1,8,7,6]=>[8,7,2,3,4,5,1,6]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[2,3,4,5,1,7,8,6]=>[7,2,3,4,5,1,8,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[1,5,4,3,2,8,7,6]=>[8,7,5,4,3,1,2,6]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[1,3,5,4,2,8,7,6]=>[8,7,5,3,1,4,2,6]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[1,4,3,5,2,8,7,6]=>[8,7,4,3,1,5,2,6]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[1,3,4,5,2,7,8,6]=>[7,3,1,4,5,2,8,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[2,1,4,5,3,8,7,6]=>[8,7,4,2,1,5,3,6]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[1,2,5,4,3,8,7,6]=>[8,7,5,4,1,2,3,6]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[1,2,5,4,3,7,8,6]=>[7,5,4,1,2,3,8,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[1,2,4,5,3,8,7,6]=>[8,7,4,1,2,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[3,2,1,5,4,8,7,6]=>[8,7,5,3,2,1,4,6]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[2,3,1,5,4,7,8,6]=>[7,5,2,3,1,4,8,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[1,3,2,5,4,8,7,6]=>[8,7,5,3,1,2,4,6]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[2,1,3,5,4,8,7,6]=>[8,7,5,2,1,3,4,6]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[1,2,3,5,4,8,7,6]=>[8,7,5,1,2,3,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[1,2,3,5,4,7,8,6]=>[7,5,1,2,3,4,8,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[4,3,2,1,5,8,7,6]=>[8,7,4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[4,3,2,1,5,7,8,6]=>[7,4,3,2,1,5,8,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[3,4,2,1,5,8,7,6]=>[8,7,3,4,2,1,5,6]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[3,4,2,1,5,7,8,6]=>[7,3,4,2,1,5,8,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[3,2,4,1,5,8,7,6]=>[8,7,3,2,4,1,5,6]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[2,3,4,1,5,8,7,6]=>[8,7,2,3,4,1,5,6]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[2,3,4,1,5,7,8,6]=>[7,2,3,4,1,5,8,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[1,3,4,2,5,8,7,6]=>[8,7,3,1,4,2,5,6]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[1,3,4,2,5,7,8,6]=>[7,3,1,4,2,5,8,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[2,1,4,3,5,8,7,6]=>[8,7,4,2,1,3,5,6]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[1,2,4,3,5,8,7,6]=>[8,7,4,1,2,3,5,6]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[1,2,4,3,5,7,8,6]=>[7,4,1,2,3,5,8,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[3,2,1,4,5,8,7,6]=>[8,7,3,2,1,4,5,6]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[3,2,1,4,5,7,8,6]=>[7,3,2,1,4,5,8,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[2,3,1,4,5,8,7,6]=>[8,7,2,3,1,4,5,6]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[2,3,1,4,5,7,8,6]=>[7,2,3,1,4,5,8,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[1,3,2,4,5,7,8,6]=>[7,3,1,2,4,5,8,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[2,1,3,4,5,8,7,6]=>[8,7,2,1,3,4,5,6]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[2,1,3,4,5,7,8,6]=>[7,2,1,3,4,5,8,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[1,2,3,4,5,8,7,6]=>[8,7,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[1,2,3,4,5,7,8,6]=>[7,1,2,3,4,5,8,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[6,5,4,3,2,1,8,7]=>[8,6,5,4,3,2,1,7]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[6,2]
[5,6,4,3,2,1,8,7]=>[8,5,6,4,3,2,1,7]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[5,3]
[4,6,5,3,2,1,8,7]=>[8,6,4,5,3,2,1,7]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[4,5,6,3,2,1,8,7]=>[8,4,5,6,3,2,1,7]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[3,6,5,4,2,1,8,7]=>[8,6,5,3,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[3,3,2]
[4,5,3,6,2,1,8,7]=>[8,4,5,3,6,2,1,7]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[4,3,5,6,2,1,8,7]=>[8,4,3,5,6,2,1,7]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[3,4,5,6,2,1,8,7]=>[8,3,4,5,6,2,1,7]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[2,6,5,4,3,1,8,7]=>[8,6,5,4,2,3,1,7]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[2,5,4,6,3,1,8,7]=>[8,5,4,2,6,3,1,7]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[3,2,6,5,4,1,8,7]=>[8,6,5,3,2,4,1,7]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[3,3,2]
[3,2,5,6,4,1,8,7]=>[8,5,3,2,6,4,1,7]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[2,3,6,5,4,1,8,7]=>[8,6,5,2,3,4,1,7]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[2,4,3,6,5,1,8,7]=>[8,6,4,2,3,5,1,7]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[3,2,4,6,5,1,8,7]=>[8,6,3,2,4,5,1,7]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[5,4,3,2,6,1,8,7]=>[8,5,4,3,2,6,1,7]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[5,3]
[4,3,5,2,6,1,8,7]=>[8,4,3,5,2,6,1,7]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[2,5,4,3,6,1,8,7]=>[8,5,4,2,3,6,1,7]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[3,2,5,4,6,1,8,7]=>[8,5,3,2,4,6,1,7]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[2,3,4,5,6,1,8,7]=>[8,2,3,4,5,6,1,7]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[1,6,5,4,3,2,8,7]=>[8,6,5,4,3,1,2,7]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[1,5,6,4,3,2,8,7]=>[8,5,6,4,1,3,2,7]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[1,3,5,6,4,2,8,7]=>[8,5,3,1,6,4,2,7]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[2,1,6,5,4,3,8,7]=>[8,6,5,4,2,1,3,7]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[2,1,5,6,4,3,8,7]=>[8,5,6,2,1,4,3,7]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[2,1,4,6,5,3,8,7]=>[8,6,4,2,1,5,3,7]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[2,1,5,4,6,3,8,7]=>[8,5,4,2,1,6,3,7]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[2,1,4,5,6,3,8,7]=>[8,4,2,1,5,6,3,7]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[1,2,6,5,4,3,8,7]=>[8,6,5,4,1,2,3,7]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[1,2,5,4,6,3,8,7]=>[8,5,4,1,2,6,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[1,2,4,5,6,3,8,7]=>[8,4,1,2,5,6,3,7]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[3,2,1,6,5,4,8,7]=>[8,6,5,3,2,1,4,7]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[3,3,2]
[3,2,1,5,6,4,8,7]=>[8,5,3,2,1,6,4,7]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[2,3,1,6,5,4,8,7]=>[8,6,5,2,3,1,4,7]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[2,3,1,5,6,4,8,7]=>[8,5,2,3,1,6,4,7]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[2,1,3,6,5,4,8,7]=>[8,6,5,2,1,3,4,7]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[1,2,3,6,5,4,8,7]=>[8,6,5,1,2,3,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[4,3,2,1,6,5,8,7]=>[8,6,4,3,2,1,5,7]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[3,4,2,1,6,5,8,7]=>[8,6,3,4,2,1,5,7]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[2,4,3,1,6,5,8,7]=>[8,6,4,2,3,1,5,7]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[3,2,4,1,6,5,8,7]=>[8,6,3,2,4,1,5,7]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[2,3,4,1,6,5,8,7]=>[8,6,2,3,4,1,5,7]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[1,4,3,2,6,5,8,7]=>[8,6,4,3,1,2,5,7]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[1,3,4,2,6,5,8,7]=>[8,6,3,1,4,2,5,7]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[2,1,4,3,6,5,8,7]=>[8,6,4,2,1,3,5,7]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[1,2,4,3,6,5,8,7]=>[8,6,4,1,2,3,5,7]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[3,2,1,4,6,5,8,7]=>[8,6,3,2,1,4,5,7]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[1,2,3,4,6,5,8,7]=>[8,6,1,2,3,4,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[5,4,3,2,1,6,8,7]=>[8,5,4,3,2,1,6,7]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[5,3]
[4,5,3,2,1,6,8,7]=>[8,4,5,3,2,1,6,7]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[4,3,5,2,1,6,8,7]=>[8,4,3,5,2,1,6,7]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[3,4,5,2,1,6,8,7]=>[8,3,4,5,2,1,6,7]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[2,4,5,3,1,6,8,7]=>[8,4,2,5,3,1,6,7]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[2,3,5,4,1,6,8,7]=>[8,5,2,3,4,1,6,7]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[2,4,3,5,1,6,8,7]=>[8,4,2,3,5,1,6,7]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[2,3,4,5,1,6,8,7]=>[8,2,3,4,5,1,6,7]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[1,4,5,3,2,6,8,7]=>[8,4,5,1,3,2,6,7]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[2,1,5,4,3,6,8,7]=>[8,5,4,2,1,3,6,7]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[2,1,4,5,3,6,8,7]=>[8,4,2,1,5,3,6,7]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[1,2,5,4,3,6,8,7]=>[8,5,4,1,2,3,6,7]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[1,2,4,5,3,6,8,7]=>[8,4,1,2,5,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[3,2,1,5,4,6,8,7]=>[8,5,3,2,1,4,6,7]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[1,3,2,5,4,6,8,7]=>[8,5,3,1,2,4,6,7]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[1,2,3,5,4,6,8,7]=>[8,5,1,2,3,4,6,7]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[4,3,2,1,5,6,8,7]=>[8,4,3,2,1,5,6,7]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[3,4,2,1,5,6,8,7]=>[8,3,4,2,1,5,6,7]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[2,3,4,1,5,6,8,7]=>[8,2,3,4,1,5,6,7]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[2,1,4,3,5,6,8,7]=>[8,4,2,1,3,5,6,7]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[1,2,4,3,5,6,8,7]=>[8,4,1,2,3,5,6,7]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[3,2,1,4,5,6,8,7]=>[8,3,2,1,4,5,6,7]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[2,3,1,4,5,6,8,7]=>[8,2,3,1,4,5,6,7]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[1,3,2,4,5,6,8,7]=>[8,3,1,2,4,5,6,7]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[2,1,3,4,5,6,8,7]=>[8,2,1,3,4,5,6,7]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[1,2,3,4,5,6,8,7]=>[8,1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8]]=>[8]
[5,7,6,4,3,2,1,8]=>[7,5,6,4,3,2,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[4,7,6,5,3,2,1,8]=>[7,6,4,5,3,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[4,6,7,5,3,2,1,8]=>[6,4,7,5,3,2,1,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[5,4,7,6,3,2,1,8]=>[7,5,4,6,3,2,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[4,5,7,6,3,2,1,8]=>[7,4,5,6,3,2,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[3,7,6,5,4,2,1,8]=>[7,6,5,3,4,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[3,5,7,6,4,2,1,8]=>[7,5,3,6,4,2,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[4,3,7,6,5,2,1,8]=>[7,6,4,3,5,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[3,4,7,6,5,2,1,8]=>[7,6,3,4,5,2,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[5,4,3,7,6,2,1,8]=>[7,5,4,3,6,2,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[3,5,6,4,7,2,1,8]=>[5,3,6,4,7,2,1,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[2,7,6,5,4,3,1,8]=>[7,6,5,4,2,3,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[2,6,5,7,4,3,1,8]=>[6,5,7,2,4,3,1,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[2,5,6,7,4,3,1,8]=>[5,6,2,7,4,3,1,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[2,4,7,6,5,3,1,8]=>[7,6,4,2,5,3,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[2,4,6,7,5,3,1,8]=>[6,4,2,7,5,3,1,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[2,4,5,7,6,3,1,8]=>[7,4,2,5,6,3,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[3,2,7,6,5,4,1,8]=>[7,6,5,3,2,4,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[3,2,6,7,5,4,1,8]=>[6,7,3,2,5,4,1,8]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[3,2,6,5,7,4,1,8]=>[6,5,3,2,7,4,1,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[2,3,7,6,5,4,1,8]=>[7,6,5,2,3,4,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[2,4,3,7,6,5,1,8]=>[7,6,4,2,3,5,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[3,2,4,7,6,5,1,8]=>[7,6,3,2,4,5,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[2,3,4,7,6,5,1,8]=>[7,6,2,3,4,5,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[5,4,3,2,7,6,1,8]=>[7,5,4,3,2,6,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[4,5,3,2,7,6,1,8]=>[7,4,5,3,2,6,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[3,5,4,2,7,6,1,8]=>[7,5,3,4,2,6,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[4,3,5,2,7,6,1,8]=>[7,4,3,5,2,6,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[3,2,5,4,7,6,1,8]=>[7,5,3,2,4,6,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[2,4,3,5,7,6,1,8]=>[7,4,2,3,5,6,1,8]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[2,3,4,5,7,6,1,8]=>[7,2,3,4,5,6,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[3,5,6,4,2,7,1,8]=>[5,3,6,4,2,7,1,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[3,4,6,5,2,7,1,8]=>[6,3,4,5,2,7,1,8]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[3,5,4,6,2,7,1,8]=>[5,3,4,6,2,7,1,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[2,4,6,5,3,7,1,8]=>[6,4,2,5,3,7,1,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[3,2,6,5,4,7,1,8]=>[6,5,3,2,4,7,1,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[2,4,3,6,5,7,1,8]=>[6,4,2,3,5,7,1,8]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[2,3,5,4,6,7,1,8]=>[5,2,3,4,6,7,1,8]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[2,4,3,5,6,7,1,8]=>[4,2,3,5,6,7,1,8]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[1,7,6,5,4,3,2,8]=>[7,6,5,4,3,1,2,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[1,5,7,6,4,3,2,8]=>[7,5,6,4,1,3,2,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[1,6,5,7,4,3,2,8]=>[6,5,7,4,1,3,2,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[1,5,4,7,6,3,2,8]=>[7,5,4,6,1,3,2,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[1,4,5,6,7,3,2,8]=>[4,5,1,6,7,3,2,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[1,3,7,6,5,4,2,8]=>[7,6,5,3,1,4,2,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[1,3,6,7,5,4,2,8]=>[6,7,3,1,5,4,2,8]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[1,3,5,7,6,4,2,8]=>[7,5,3,1,6,4,2,8]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[1,4,3,7,6,5,2,8]=>[7,6,4,3,1,5,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[1,3,4,6,7,5,2,8]=>[6,3,1,4,7,5,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[1,3,4,5,7,6,2,8]=>[7,3,1,4,5,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[1,5,4,6,3,7,2,8]=>[5,4,6,1,3,7,2,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[1,4,3,6,5,7,2,8]=>[6,4,3,1,5,7,2,8]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[1,3,4,5,6,7,2,8]=>[3,1,4,5,6,7,2,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[2,1,7,6,5,4,3,8]=>[7,6,5,4,2,1,3,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[2,1,4,6,7,5,3,8]=>[6,4,2,1,7,5,3,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[2,1,5,4,7,6,3,8]=>[7,5,4,2,1,6,3,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[2,1,4,5,7,6,3,8]=>[7,4,2,1,5,6,3,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[2,1,4,5,6,7,3,8]=>[4,2,1,5,6,7,3,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[1,2,7,6,5,4,3,8]=>[7,6,5,4,1,2,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[1,2,4,6,5,7,3,8]=>[6,4,1,2,5,7,3,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[1,2,4,5,6,7,3,8]=>[4,1,2,5,6,7,3,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[3,2,1,7,6,5,4,8]=>[7,6,5,3,2,1,4,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[3,2,1,5,7,6,4,8]=>[7,5,3,2,1,6,4,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[2,3,1,7,6,5,4,8]=>[7,6,5,2,3,1,4,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[1,3,2,6,5,7,4,8]=>[6,5,3,1,2,7,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[2,1,3,7,6,5,4,8]=>[7,6,5,2,1,3,4,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[1,2,3,7,6,5,4,8]=>[7,6,5,1,2,3,4,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[1,2,3,5,6,7,4,8]=>[5,1,2,3,6,7,4,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[4,3,2,1,7,6,5,8]=>[7,6,4,3,2,1,5,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[4,3,2,1,6,7,5,8]=>[6,4,3,2,1,7,5,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[3,2,4,1,7,6,5,8]=>[7,6,3,2,4,1,5,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[2,3,4,1,7,6,5,8]=>[7,6,2,3,4,1,5,8]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[1,4,3,2,7,6,5,8]=>[7,6,4,3,1,2,5,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[1,4,3,2,6,7,5,8]=>[6,4,3,1,2,7,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[1,3,4,2,7,6,5,8]=>[7,6,3,1,4,2,5,8]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[1,3,4,2,6,7,5,8]=>[6,3,1,4,2,7,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[2,1,4,3,7,6,5,8]=>[7,6,4,2,1,3,5,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[3,2,1,4,7,6,5,8]=>[7,6,3,2,1,4,5,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[3,2,1,4,6,7,5,8]=>[6,3,2,1,4,7,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[1,2,3,4,7,6,5,8]=>[7,6,1,2,3,4,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[1,2,3,4,6,7,5,8]=>[6,1,2,3,4,7,5,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[5,4,3,2,1,7,6,8]=>[7,5,4,3,2,1,6,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[4,5,3,2,1,7,6,8]=>[7,4,5,3,2,1,6,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[4,3,5,2,1,7,6,8]=>[7,4,3,5,2,1,6,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[3,4,5,2,1,7,6,8]=>[7,3,4,5,2,1,6,8]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[2,5,4,3,1,7,6,8]=>[7,5,4,2,3,1,6,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[2,4,5,3,1,7,6,8]=>[7,4,2,5,3,1,6,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[3,2,5,4,1,7,6,8]=>[7,5,3,2,4,1,6,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[2,3,5,4,1,7,6,8]=>[7,5,2,3,4,1,6,8]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[2,4,3,5,1,7,6,8]=>[7,4,2,3,5,1,6,8]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[2,3,4,5,1,7,6,8]=>[7,2,3,4,5,1,6,8]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[1,5,4,3,2,7,6,8]=>[7,5,4,3,1,2,6,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[1,3,5,4,2,7,6,8]=>[7,5,3,1,4,2,6,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[1,3,4,5,2,7,6,8]=>[7,3,1,4,5,2,6,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[3,2,1,5,4,7,6,8]=>[7,5,3,2,1,4,6,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[2,3,1,5,4,7,6,8]=>[7,5,2,3,1,4,6,8]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[1,3,2,5,4,7,6,8]=>[7,5,3,1,2,4,6,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[1,2,3,5,4,7,6,8]=>[7,5,1,2,3,4,6,8]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[4,3,2,1,5,7,6,8]=>[7,4,3,2,1,5,6,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[2,3,4,1,5,7,6,8]=>[7,2,3,4,1,5,6,8]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[1,4,3,2,5,7,6,8]=>[7,4,3,1,2,5,6,8]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[1,2,4,3,5,7,6,8]=>[7,4,1,2,3,5,6,8]=>[[1,2,3,5,6,8],[4],[7]]=>[4,3,1]
[3,2,1,4,5,7,6,8]=>[7,3,2,1,4,5,6,8]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[2,3,1,4,5,7,6,8]=>[7,2,3,1,4,5,6,8]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[1,3,2,4,5,7,6,8]=>[7,3,1,2,4,5,6,8]=>[[1,2,4,5,6,8],[3],[7]]=>[3,4,1]
[2,1,3,4,5,7,6,8]=>[7,2,1,3,4,5,6,8]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[1,2,3,4,5,7,6,8]=>[7,1,2,3,4,5,6,8]=>[[1,2,3,4,5,6,8],[7]]=>[7,1]
[3,6,5,4,2,1,7,8]=>[6,5,3,4,2,1,7,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[3,5,6,4,2,1,7,8]=>[5,3,6,4,2,1,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[2,4,6,5,3,1,7,8]=>[6,4,2,5,3,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[2,3,6,5,4,1,7,8]=>[6,5,2,3,4,1,7,8]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[4,3,2,6,5,1,7,8]=>[6,4,3,2,5,1,7,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[2,3,4,6,5,1,7,8]=>[6,2,3,4,5,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[2,3,5,4,6,1,7,8]=>[5,2,3,4,6,1,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[2,4,3,5,6,1,7,8]=>[4,2,3,5,6,1,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[1,6,5,4,3,2,7,8]=>[6,5,4,3,1,2,7,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[1,5,4,6,3,2,7,8]=>[5,4,6,1,3,2,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[1,4,5,6,3,2,7,8]=>[4,5,1,6,3,2,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[1,3,5,6,4,2,7,8]=>[5,3,1,6,4,2,7,8]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[1,4,3,6,5,2,7,8]=>[6,4,3,1,5,2,7,8]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[1,5,4,3,6,2,7,8]=>[5,4,3,1,6,2,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[2,1,5,6,4,3,7,8]=>[5,6,2,1,4,3,7,8]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[2,1,4,6,5,3,7,8]=>[6,4,2,1,5,3,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[2,1,5,4,6,3,7,8]=>[5,4,2,1,6,3,7,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[1,2,4,5,6,3,7,8]=>[4,1,2,5,6,3,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[3,2,1,5,6,4,7,8]=>[5,3,2,1,6,4,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[1,2,3,5,6,4,7,8]=>[5,1,2,3,6,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[4,3,2,1,6,5,7,8]=>[6,4,3,2,1,5,7,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[3,4,2,1,6,5,7,8]=>[6,3,4,2,1,5,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[1,4,3,2,6,5,7,8]=>[6,4,3,1,2,5,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[2,1,4,3,6,5,7,8]=>[6,4,2,1,3,5,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[1,2,4,3,6,5,7,8]=>[6,4,1,2,3,5,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>[4,2,2]
[1,3,2,4,6,5,7,8]=>[6,3,1,2,4,5,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>[3,3,2]
[1,2,3,4,6,5,7,8]=>[6,1,2,3,4,5,7,8]=>[[1,2,3,4,5,7,8],[6]]=>[6,2]
[3,5,4,2,1,6,7,8]=>[5,3,4,2,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[2,5,4,3,1,6,7,8]=>[5,4,2,3,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[2,4,5,3,1,6,7,8]=>[4,2,5,3,1,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[3,2,5,4,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[2,3,5,4,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[2,4,3,5,1,6,7,8]=>[4,2,3,5,1,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[1,5,4,3,2,6,7,8]=>[5,4,3,1,2,6,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[1,4,5,3,2,6,7,8]=>[4,5,1,3,2,6,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[1,3,5,4,2,6,7,8]=>[5,3,1,4,2,6,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[1,3,4,5,2,6,7,8]=>[3,1,4,5,2,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[2,1,5,4,3,6,7,8]=>[5,4,2,1,3,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[2,1,4,5,3,6,7,8]=>[4,2,1,5,3,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[1,2,4,5,3,6,7,8]=>[4,1,2,5,3,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[3,2,1,5,4,6,7,8]=>[5,3,2,1,4,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[2,3,1,5,4,6,7,8]=>[5,2,3,1,4,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[1,3,2,5,4,6,7,8]=>[5,3,1,2,4,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[1,2,3,5,4,6,7,8]=>[5,1,2,3,4,6,7,8]=>[[1,2,3,4,6,7,8],[5]]=>[5,3]
[2,4,3,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[1,4,3,2,5,6,7,8]=>[4,3,1,2,5,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[1,3,4,2,5,6,7,8]=>[3,1,4,2,5,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[2,1,4,3,5,6,7,8]=>[4,2,1,3,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[1,2,4,3,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>[4,4]
[1,3,2,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>[3,5]
[1,2,3,4,8,6,7,5]=>[8,1,6,2,3,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,2,3,7,5,6,4,8]=>[7,1,5,2,3,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[1,2,3,7,5,6,8,4]=>[7,1,5,2,3,6,8,4]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[1,2,3,8,5,6,7,4]=>[8,1,2,5,3,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[1,2,3,8,6,7,5,4]=>[8,6,1,7,2,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,2,4,5,8,6,7,3]=>[8,1,4,2,5,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[1,2,4,7,5,6,3,8]=>[7,1,4,2,5,6,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[1,2,4,8,5,6,7,3]=>[8,1,2,4,5,6,7,3]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[1,2,4,8,5,7,6,3]=>[8,7,1,4,2,5,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[1,2,4,8,6,5,7,3]=>[6,8,4,1,2,5,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[1,2,5,4,8,6,7,3]=>[5,8,4,1,2,6,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[1,2,6,4,5,7,8,3]=>[6,1,4,2,5,7,8,3]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[1,2,6,4,5,8,7,3]=>[8,6,1,4,2,5,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[1,2,7,4,5,6,3,8]=>[7,1,2,4,5,6,3,8]=>[[1,2,3,5,6,8],[4],[7]]=>[4,3,1]
[1,2,7,4,5,6,8,3]=>[7,1,2,4,5,6,8,3]=>[[1,2,3,5,6,8],[4],[7]]=>[4,3,1]
[1,2,8,4,5,6,7,3]=>[4,1,2,8,5,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[1,2,8,4,5,7,6,3]=>[8,7,1,2,4,5,6,3]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[1,2,8,4,7,6,5,3]=>[8,7,6,1,4,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[1,2,7,5,4,6,8,3]=>[5,7,4,1,2,6,8,3]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[1,2,7,5,6,4,8,3]=>[7,5,1,6,2,4,8,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[1,2,8,5,6,4,7,3]=>[8,1,5,6,2,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[1,2,8,6,5,4,7,3]=>[6,8,5,4,1,2,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[1,2,8,6,5,7,4,3]=>[6,8,5,7,1,2,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[1,2,8,7,5,6,4,3]=>[8,7,1,5,6,2,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[1,3,2,4,8,6,7,5]=>[8,3,6,1,2,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[1,3,2,8,5,6,7,4]=>[8,3,1,5,2,6,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[1,3,2,8,6,5,7,4]=>[6,8,5,3,1,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[1,3,4,2,8,6,7,5]=>[8,3,6,1,4,2,7,5]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[1,3,4,5,8,6,7,2]=>[8,1,3,4,5,6,7,2]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[1,3,4,7,5,6,8,2]=>[7,1,3,4,5,6,8,2]=>[[1,2,4,5,6,8],[3],[7]]=>[3,4,1]
[1,3,4,8,5,6,7,2]=>[3,1,8,4,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[1,3,4,8,6,5,7,2]=>[6,8,3,1,4,5,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[1,3,6,4,5,7,8,2]=>[6,1,3,4,5,7,8,2]=>[[1,2,4,5,7,8],[3],[6]]=>[3,3,2]
[1,3,6,4,5,8,7,2]=>[8,6,1,3,4,5,7,2]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[1,3,8,4,5,6,7,2]=>[3,1,4,8,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[1,3,8,4,6,5,7,2]=>[8,1,6,3,4,5,7,2]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[1,3,8,4,7,6,5,2]=>[8,7,6,1,3,4,5,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[1,3,8,5,6,4,7,2]=>[8,1,5,3,6,4,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[1,3,8,6,5,7,4,2]=>[6,8,5,3,1,7,4,2]=>[[1,2],[3,4],[5,7],[6,8]]=>[3,3,2]
[1,4,3,5,8,6,7,2]=>[4,8,3,1,5,6,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[1,4,3,7,5,6,2,8]=>[4,7,3,1,5,6,2,8]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[1,4,3,8,5,6,7,2]=>[4,8,1,3,5,6,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[1,4,3,8,6,5,7,2]=>[6,8,4,3,1,5,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[1,4,3,8,6,7,5,2]=>[8,4,6,3,1,7,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[1,5,3,4,2,6,7,8]=>[5,1,3,4,2,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[1,5,3,4,6,2,7,8]=>[5,1,3,4,6,2,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[1,5,3,4,6,7,2,8]=>[5,1,3,4,6,7,2,8]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[1,5,3,4,6,7,8,2]=>[5,1,3,4,6,7,8,2]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[1,7,3,4,5,6,2,8]=>[3,1,4,7,5,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[1,8,3,4,7,6,5,2]=>[8,7,3,1,6,4,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[1,6,3,5,4,2,7,8]=>[6,5,1,3,4,2,7,8]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[1,6,3,5,4,8,7,2]=>[8,6,5,1,3,4,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[1,8,3,5,4,6,7,2]=>[5,1,8,3,4,6,7,2]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[1,8,3,5,6,4,7,2]=>[8,1,3,5,6,4,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[1,8,3,5,6,7,4,2]=>[5,3,1,8,6,7,4,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[1,7,3,6,5,4,2,8]=>[7,6,5,1,3,4,2,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[1,7,3,6,5,4,8,2]=>[7,6,5,1,3,4,8,2]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[1,8,3,6,5,4,7,2]=>[6,8,5,1,3,4,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[1,8,3,7,6,5,4,2]=>[8,7,6,5,1,3,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[1,6,4,3,5,2,7,8]=>[4,6,3,1,5,2,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[1,6,4,3,5,8,7,2]=>[8,4,6,3,1,5,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[1,8,4,3,5,6,7,2]=>[4,3,1,8,5,6,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[1,8,4,3,6,5,7,2]=>[4,8,6,3,1,5,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[1,6,4,5,3,2,7,8]=>[6,4,1,5,3,2,7,8]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[1,6,4,5,3,2,8,7]=>[8,6,4,1,5,3,2,7]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[1,7,4,5,3,6,8,2]=>[7,1,4,5,3,6,8,2]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[1,8,4,5,3,6,7,2]=>[4,1,8,5,3,6,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[1,8,4,5,3,7,6,2]=>[8,7,1,4,5,3,6,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[1,8,4,5,6,7,3,2]=>[4,5,1,8,6,7,3,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[1,8,4,5,7,6,3,2]=>[8,4,7,1,5,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[1,8,4,6,5,3,7,2]=>[6,8,4,1,5,3,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[1,8,4,7,6,5,3,2]=>[8,7,6,4,1,5,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[1,8,5,4,3,7,6,2]=>[8,5,7,4,3,1,6,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[1,7,5,4,6,3,8,2]=>[5,7,4,6,1,3,8,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[1,8,5,4,6,7,3,2]=>[5,8,4,1,6,7,3,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[1,8,5,4,7,6,3,2]=>[8,5,7,4,6,1,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[1,7,6,4,5,3,2,8]=>[7,6,1,4,5,3,2,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[1,7,6,4,5,3,8,2]=>[7,6,1,4,5,3,8,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[1,8,6,4,5,7,3,2]=>[6,8,1,4,5,7,3,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[1,8,7,4,5,6,3,2]=>[4,8,1,7,5,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[1,8,7,4,6,5,3,2]=>[8,7,6,1,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[1,8,6,5,4,3,7,2]=>[6,8,5,4,3,1,7,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[1,8,6,5,4,7,3,2]=>[6,8,5,4,7,1,3,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[1,8,7,5,4,6,3,2]=>[5,8,7,4,6,1,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[1,8,7,5,6,4,3,2]=>[8,7,5,1,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[2,1,3,7,5,6,8,4]=>[7,2,5,1,3,6,8,4]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[2,1,3,8,6,7,5,4]=>[8,6,2,7,1,3,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[2,1,4,3,8,6,7,5]=>[8,4,6,2,1,3,7,5]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[2,1,4,5,8,6,7,3]=>[8,2,4,1,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[2,1,4,8,5,6,7,3]=>[8,2,1,4,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[2,1,4,8,5,7,6,3]=>[8,7,2,4,1,5,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[2,1,4,8,6,5,7,3]=>[6,8,4,2,1,5,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[2,1,5,4,8,6,7,3]=>[5,8,4,2,1,6,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[2,1,6,4,5,3,7,8]=>[6,2,4,1,5,3,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[2,1,6,4,5,3,8,7]=>[8,6,2,4,1,5,3,7]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[2,1,6,4,5,7,8,3]=>[6,2,4,1,5,7,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[2,1,6,4,5,8,7,3]=>[8,6,2,4,1,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[2,1,7,4,5,6,3,8]=>[7,2,1,4,5,6,3,8]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[2,1,8,4,5,6,7,3]=>[4,2,1,8,5,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[2,1,8,4,5,7,6,3]=>[8,7,2,1,4,5,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[2,1,7,4,6,5,8,3]=>[7,6,2,4,1,5,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[2,1,8,4,6,5,7,3]=>[8,2,6,4,1,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[2,1,8,5,4,6,7,3]=>[5,8,2,4,1,6,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[2,1,8,5,4,7,6,3]=>[8,5,7,4,2,1,6,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[2,1,7,5,6,4,8,3]=>[7,5,2,6,1,4,8,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[2,1,8,5,6,4,7,3]=>[8,2,5,6,1,4,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[2,1,8,5,6,7,4,3]=>[8,5,2,1,6,7,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[2,1,8,6,5,4,7,3]=>[6,8,5,4,2,1,7,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[2,1,8,6,5,7,4,3]=>[6,8,5,7,2,1,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>[2,4,2]
[2,1,8,7,5,6,4,3]=>[8,7,2,5,6,1,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[2,3,1,4,8,6,7,5]=>[8,2,6,3,1,4,7,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[2,3,1,7,5,6,4,8]=>[7,2,5,3,1,6,4,8]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[2,3,1,8,5,6,7,4]=>[8,2,3,5,1,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[2,3,1,8,6,5,7,4]=>[6,8,5,2,3,1,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[2,3,1,8,6,7,5,4]=>[8,6,2,7,3,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[2,3,4,1,8,6,7,5]=>[8,2,6,3,4,1,7,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[2,3,4,5,8,6,7,1]=>[2,8,3,4,5,6,7,1]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[2,3,4,7,5,6,1,8]=>[2,7,3,4,5,6,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[2,3,4,8,5,6,7,1]=>[2,3,8,4,5,6,7,1]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[2,3,4,8,5,7,6,1]=>[8,2,7,3,4,5,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[2,3,4,8,6,7,5,1]=>[8,2,6,3,4,7,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[2,3,5,4,8,6,7,1]=>[5,8,2,3,4,6,7,1]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[2,3,6,4,5,1,7,8]=>[2,6,3,4,5,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[2,3,6,4,5,1,8,7]=>[8,2,6,3,4,5,1,7]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[2,3,6,4,5,7,8,1]=>[2,6,3,4,5,7,8,1]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[2,3,6,4,5,8,7,1]=>[8,2,6,3,4,5,7,1]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[2,3,7,4,5,6,8,1]=>[2,3,7,4,5,6,8,1]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[2,3,8,4,5,6,7,1]=>[2,3,4,8,5,6,7,1]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[2,3,8,4,5,7,6,1]=>[8,2,3,7,4,5,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[2,3,7,4,6,5,1,8]=>[7,2,6,3,4,5,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[2,3,7,4,6,5,8,1]=>[7,2,6,3,4,5,8,1]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[2,3,8,4,6,5,7,1]=>[2,8,6,3,4,5,7,1]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[2,3,7,5,4,6,8,1]=>[5,7,2,3,4,6,8,1]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[2,3,7,5,6,4,1,8]=>[7,2,5,3,6,4,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[2,3,8,5,6,4,7,1]=>[2,8,5,3,6,4,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[2,3,8,5,6,7,4,1]=>[8,2,3,5,6,7,4,1]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[2,3,8,6,5,4,7,1]=>[6,8,5,2,3,4,7,1]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[2,3,8,6,5,7,4,1]=>[6,8,5,2,3,7,4,1]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[2,3,8,7,5,6,4,1]=>[8,2,7,5,3,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[2,4,3,1,8,6,7,5]=>[8,4,6,2,3,1,7,5]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[2,4,3,5,8,6,7,1]=>[4,8,2,3,5,6,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[2,4,3,7,5,6,1,8]=>[4,7,2,3,5,6,1,8]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[2,4,3,8,6,7,5,1]=>[8,4,6,2,3,7,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[2,5,3,4,1,6,7,8]=>[2,5,3,4,1,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[2,5,3,4,1,7,6,8]=>[7,2,5,3,4,1,6,8]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[2,5,3,4,6,7,8,1]=>[2,5,3,4,6,7,8,1]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[2,5,3,4,7,6,1,8]=>[7,2,5,3,4,6,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[2,5,3,4,8,6,7,1]=>[2,8,5,3,4,6,7,1]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[2,6,3,4,5,1,7,8]=>[2,3,6,4,5,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[2,6,3,4,5,7,8,1]=>[2,3,6,4,5,7,8,1]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[2,7,3,4,5,6,1,8]=>[2,3,4,7,5,6,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[2,7,3,4,5,6,8,1]=>[2,3,4,7,5,6,8,1]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[2,8,3,4,5,6,7,1]=>[2,3,4,5,8,6,7,1]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[2,6,3,5,4,8,7,1]=>[8,6,2,5,3,4,7,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[2,8,3,5,4,6,7,1]=>[2,5,8,3,4,6,7,1]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[2,7,3,5,6,4,1,8]=>[7,2,3,5,6,4,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[2,8,3,5,6,7,4,1]=>[5,2,3,8,6,7,4,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[2,7,3,6,5,4,1,8]=>[7,6,2,5,3,4,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[2,8,3,6,5,4,7,1]=>[6,8,2,5,3,4,7,1]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[2,8,3,7,6,5,4,1]=>[8,7,6,2,5,3,4,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[2,5,4,3,8,6,7,1]=>[5,8,4,2,3,6,7,1]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[2,6,4,3,5,1,8,7]=>[8,4,6,2,3,5,1,7]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[2,8,4,3,5,6,7,1]=>[4,2,3,8,5,6,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[2,8,4,3,5,7,6,1]=>[8,4,2,7,3,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[2,7,4,3,6,5,1,8]=>[7,4,6,2,3,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[2,7,4,3,6,5,8,1]=>[7,4,6,2,3,5,8,1]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[2,8,4,3,6,7,5,1]=>[8,4,2,6,3,7,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[2,6,4,5,3,1,7,8]=>[6,2,4,5,3,1,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[2,6,4,5,3,1,8,7]=>[8,6,2,4,5,3,1,7]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[2,6,4,5,3,8,7,1]=>[8,6,2,4,5,3,7,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[2,8,4,5,3,6,7,1]=>[2,4,8,5,3,6,7,1]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[2,7,4,5,6,3,1,8]=>[4,2,7,5,6,3,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[2,7,4,5,6,3,8,1]=>[4,2,7,5,6,3,8,1]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[2,7,4,6,5,3,1,8]=>[7,6,2,4,5,3,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[2,7,4,6,5,3,8,1]=>[7,6,2,4,5,3,8,1]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[2,8,4,6,5,3,7,1]=>[6,8,2,4,5,3,7,1]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,8,4,6,5,7,3,1]=>[8,2,6,4,5,7,3,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[2,8,4,7,5,6,3,1]=>[8,2,4,7,5,6,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[2,7,5,4,3,6,8,1]=>[5,7,4,2,3,6,8,1]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[2,8,5,4,3,6,7,1]=>[5,4,8,2,3,6,7,1]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[2,7,5,4,6,3,8,1]=>[5,7,4,2,6,3,8,1]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[2,8,5,4,6,3,7,1]=>[5,4,8,2,6,3,7,1]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[2,8,5,4,6,7,3,1]=>[5,8,2,4,6,7,3,1]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[2,8,5,4,7,6,3,1]=>[8,5,7,4,2,6,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[2,7,6,4,5,3,8,1]=>[7,2,6,4,5,3,8,1]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[2,8,6,4,5,7,3,1]=>[6,2,8,4,5,7,3,1]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,8,7,4,6,5,3,1]=>[8,7,2,6,4,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[2,8,6,5,4,3,7,1]=>[6,8,5,4,2,3,7,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[2,8,6,5,4,7,3,1]=>[6,8,5,4,2,7,3,1]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[2,8,7,5,4,6,3,1]=>[5,8,7,4,2,6,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[2,8,7,5,6,4,3,1]=>[8,7,2,5,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[2,3,3]
[3,2,1,4,8,6,7,5]=>[8,3,6,2,1,4,7,5]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[3,2,1,5,8,6,7,4]=>[8,3,5,2,1,6,7,4]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[3,2,1,7,5,6,4,8]=>[7,3,5,2,1,6,4,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[3,2,1,7,5,6,8,4]=>[7,3,5,2,1,6,8,4]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[3,2,1,8,5,6,7,4]=>[8,3,2,5,1,6,7,4]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[3,2,1,8,6,7,5,4]=>[8,6,3,7,2,1,5,4]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[3,2,4,1,8,6,7,5]=>[8,3,6,2,4,1,7,5]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[3,2,4,5,8,6,7,1]=>[3,8,2,4,5,6,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[3,2,4,8,5,6,7,1]=>[3,2,8,4,5,6,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[3,2,4,8,5,7,6,1]=>[8,3,7,2,4,5,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[3,2,6,4,5,1,8,7]=>[8,3,6,2,4,5,1,7]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[3,2,7,4,5,6,1,8]=>[3,2,7,4,5,6,1,8]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[3,2,8,4,5,6,7,1]=>[3,2,4,8,5,6,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[3,2,7,4,6,5,8,1]=>[7,3,6,2,4,5,8,1]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[3,2,8,4,6,5,7,1]=>[3,8,6,2,4,5,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[3,2,7,5,4,6,1,8]=>[5,7,3,2,4,6,1,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[3,2,8,5,4,6,7,1]=>[5,3,8,2,4,6,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[3,2,7,5,6,4,1,8]=>[7,3,5,2,6,4,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[3,2,7,5,6,4,8,1]=>[7,3,5,2,6,4,8,1]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[3,2,8,5,6,4,7,1]=>[3,8,5,2,6,4,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[3,2,8,5,6,7,4,1]=>[8,3,2,5,6,7,4,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[3,2,8,7,5,6,4,1]=>[8,3,7,5,2,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[4,2,3,1,5,8,7,6]=>[8,7,2,4,3,1,5,6]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[4,2,3,1,6,5,7,8]=>[6,2,4,3,1,5,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[4,2,3,1,6,5,8,7]=>[8,6,2,4,3,1,5,7]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[4,2,3,1,6,7,5,8]=>[6,2,4,3,1,7,5,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[4,2,3,1,6,8,7,5]=>[8,6,2,4,3,1,7,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[4,2,3,1,7,6,5,8]=>[7,6,2,4,3,1,5,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[4,2,3,1,7,6,8,5]=>[7,6,2,4,3,1,8,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[4,2,3,1,8,6,7,5]=>[8,2,6,4,3,1,7,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[4,2,3,1,8,7,6,5]=>[8,7,6,2,4,3,1,5]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[4,2,3,5,1,7,8,6]=>[7,2,4,3,5,1,8,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[4,2,3,5,1,8,7,6]=>[8,7,2,4,3,5,1,6]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[4,2,3,5,8,7,6,1]=>[8,7,2,4,3,5,6,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[4,2,3,6,5,1,8,7]=>[8,6,2,4,3,5,1,7]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[4,2,3,7,5,6,8,1]=>[2,7,4,3,5,6,8,1]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[4,2,3,8,5,6,7,1]=>[2,4,8,3,5,6,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[4,2,3,7,6,5,1,8]=>[7,6,2,4,3,5,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[4,2,3,8,6,7,5,1]=>[8,2,6,4,3,7,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[5,2,3,4,1,7,6,8]=>[7,2,3,5,4,1,6,8]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[5,2,3,4,1,7,8,6]=>[7,2,3,5,4,1,8,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[5,2,3,4,1,8,7,6]=>[8,7,2,3,5,4,1,6]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[5,2,3,4,6,8,7,1]=>[8,2,3,5,4,6,7,1]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[5,2,3,4,7,6,1,8]=>[7,2,3,5,4,6,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[5,2,3,4,8,7,6,1]=>[8,7,2,3,5,4,6,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[8,2,3,4,5,7,6,1]=>[8,2,3,4,5,7,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[7,2,3,4,6,5,1,8]=>[7,2,3,4,6,5,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[6,2,3,5,4,1,7,8]=>[6,2,3,5,4,1,7,8]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[6,2,3,5,4,1,8,7]=>[8,6,2,3,5,4,1,7]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[6,2,3,5,4,7,1,8]=>[6,2,3,5,4,7,1,8]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[6,2,3,5,4,7,8,1]=>[6,2,3,5,4,7,8,1]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[8,2,3,5,4,6,7,1]=>[2,3,8,5,4,6,7,1]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[8,2,3,5,6,4,7,1]=>[5,2,3,6,8,4,7,1]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[7,2,3,6,5,4,1,8]=>[7,6,2,3,5,4,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[8,2,3,7,5,6,4,1]=>[8,2,5,3,7,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[5,2,4,3,1,6,7,8]=>[5,2,4,3,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[5,2,4,3,1,6,8,7]=>[8,5,2,4,3,1,6,7]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[5,2,4,3,1,7,6,8]=>[7,5,2,4,3,1,6,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[5,2,4,3,6,1,8,7]=>[8,5,2,4,3,6,1,7]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[5,2,4,3,6,7,1,8]=>[5,2,4,3,6,7,1,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[5,2,4,3,7,6,8,1]=>[7,5,2,4,3,6,8,1]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[5,2,4,3,8,7,6,1]=>[8,7,5,2,4,3,6,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[2,3,3]
[6,2,4,3,5,1,8,7]=>[8,2,6,4,3,5,1,7]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[8,2,4,3,5,6,7,1]=>[2,4,3,8,5,6,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[8,2,4,3,5,7,6,1]=>[8,2,4,7,3,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[7,2,4,3,6,5,8,1]=>[7,2,6,4,3,5,8,1]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[8,2,4,3,6,7,5,1]=>[8,2,4,6,3,7,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[6,2,4,5,3,1,8,7]=>[8,4,2,6,5,3,1,7]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[7,2,4,5,3,6,1,8]=>[4,2,5,7,3,6,1,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[7,2,4,5,6,3,1,8]=>[4,2,5,7,6,3,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[8,2,4,5,7,6,3,1]=>[8,4,2,5,7,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[8,2,4,6,5,3,7,1]=>[4,8,2,6,5,3,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[8,2,4,7,5,6,3,1]=>[8,2,4,5,7,6,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[8,2,4,7,6,5,3,1]=>[8,7,4,2,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[6,2,5,4,3,7,1,8]=>[6,5,2,4,3,7,1,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[6,2,5,4,3,7,8,1]=>[6,5,2,4,3,7,8,1]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[7,2,5,4,3,6,8,1]=>[5,7,2,4,3,6,8,1]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[8,2,5,4,3,7,6,1]=>[8,5,7,2,4,3,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[7,2,5,4,6,3,8,1]=>[7,2,5,4,6,3,8,1]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[8,2,5,4,6,7,3,1]=>[5,2,8,4,6,7,3,1]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[7,2,6,4,5,3,1,8]=>[7,2,4,6,5,3,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[7,2,6,4,5,3,8,1]=>[7,2,4,6,5,3,8,1]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[8,2,6,4,5,3,7,1]=>[2,8,4,6,5,3,7,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[8,2,6,4,5,7,3,1]=>[4,2,8,6,5,7,3,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[8,2,7,4,5,6,3,1]=>[4,2,8,5,7,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[8,2,7,4,6,5,3,1]=>[8,7,2,4,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[8,2,7,5,4,6,3,1]=>[8,2,7,5,4,6,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[2,3,3]
[8,2,7,6,5,4,3,1]=>[8,7,6,5,2,4,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>[2,6]
[4,3,2,1,8,6,7,5]=>[8,4,6,3,2,1,7,5]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[4,3,2,7,5,6,8,1]=>[4,7,3,2,5,6,8,1]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[4,3,2,8,5,6,7,1]=>[4,3,8,2,5,6,7,1]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[4,3,2,8,5,7,6,1]=>[8,4,7,3,2,5,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[5,3,2,4,1,6,8,7]=>[8,3,5,2,4,1,6,7]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[5,3,2,4,1,7,6,8]=>[7,3,5,2,4,1,6,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[5,3,2,4,1,7,8,6]=>[7,3,5,2,4,1,8,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[5,3,2,4,1,8,7,6]=>[8,7,3,5,2,4,1,6]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[5,3,2,4,7,6,1,8]=>[7,3,5,2,4,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[5,3,2,4,8,6,7,1]=>[3,8,5,2,4,6,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[5,3,2,4,8,7,6,1]=>[8,7,3,5,2,4,6,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[6,3,2,4,5,1,8,7]=>[8,3,2,6,4,5,1,7]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[8,3,2,4,6,7,5,1]=>[8,3,2,4,6,7,5,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[6,3,2,5,4,1,8,7]=>[8,6,3,5,2,4,1,7]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[6,3,2,5,4,7,8,1]=>[6,3,5,2,4,7,8,1]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[7,3,2,5,4,6,1,8]=>[3,7,5,2,4,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[7,3,2,5,4,6,8,1]=>[3,7,5,2,4,6,8,1]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[8,3,2,5,4,6,7,1]=>[3,5,8,2,4,6,7,1]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[8,3,2,5,4,7,6,1]=>[8,3,7,5,2,4,6,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[7,3,2,5,6,4,8,1]=>[7,3,2,5,6,4,8,1]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[8,3,2,5,7,6,4,1]=>[8,7,3,2,5,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[8,3,2,7,6,5,4,1]=>[8,7,6,3,5,2,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[5,3,4,2,1,6,8,7]=>[8,3,5,4,2,1,6,7]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[5,3,4,2,1,7,6,8]=>[7,3,5,4,2,1,6,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[5,3,4,2,1,7,8,6]=>[7,3,5,4,2,1,8,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[5,3,4,2,1,8,7,6]=>[8,7,3,5,4,2,1,6]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[5,3,4,2,7,6,1,8]=>[7,3,5,4,2,6,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[8,3,4,2,5,7,6,1]=>[8,3,4,2,7,5,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[8,3,4,2,7,6,5,1]=>[8,7,3,4,6,2,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[8,3,4,5,7,6,2,1]=>[8,3,4,5,7,6,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[8,3,4,6,5,2,7,1]=>[3,8,4,6,5,2,7,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[8,3,4,7,6,5,2,1]=>[8,7,3,4,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[6,3,5,4,2,7,1,8]=>[6,3,5,4,2,7,1,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[6,3,5,4,2,7,8,1]=>[6,3,5,4,2,7,8,1]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[6,3,5,4,2,8,7,1]=>[8,6,3,5,4,2,7,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[3,3,2]
[8,3,5,4,2,7,6,1]=>[8,3,7,5,4,2,6,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[7,3,5,4,6,2,8,1]=>[3,7,5,4,6,2,8,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[8,3,5,4,6,7,2,1]=>[3,5,8,4,6,7,2,1]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[8,3,5,4,7,6,2,1]=>[8,3,7,5,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[7,3,6,4,5,2,8,1]=>[3,7,4,6,5,2,8,1]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[8,3,6,4,5,2,7,1]=>[3,4,8,6,5,2,7,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[8,3,7,4,6,5,2,1]=>[8,3,7,4,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[7,3,6,5,4,2,1,8]=>[7,6,3,5,4,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[7,3,6,5,4,2,8,1]=>[7,6,3,5,4,2,8,1]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[8,3,6,5,4,7,2,1]=>[6,8,3,5,4,7,2,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[8,3,7,5,6,4,2,1]=>[8,3,5,7,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[8,3,7,6,5,4,2,1]=>[8,7,6,3,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>[3,5]
[5,4,3,2,8,6,7,1]=>[5,8,4,3,2,6,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[8,4,3,2,5,7,6,1]=>[8,4,3,7,2,5,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[8,4,3,5,2,7,6,1]=>[8,4,3,7,5,2,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[8,4,3,5,7,6,2,1]=>[8,4,3,7,5,6,2,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[7,4,3,6,5,2,1,8]=>[7,4,6,3,5,2,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[8,4,3,7,5,6,2,1]=>[4,8,3,7,5,6,2,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[8,4,3,7,6,5,2,1]=>[8,7,4,6,3,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[6,5,3,4,2,1,8,7]=>[8,3,6,5,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[3,3,2]
[8,5,3,4,2,7,6,1]=>[8,3,5,7,4,2,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[8,7,3,4,6,5,2,1]=>[8,3,4,7,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[7,6,3,5,4,2,1,8]=>[7,3,6,5,4,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[7,6,3,5,4,2,8,1]=>[7,3,6,5,4,2,8,1]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[8,7,3,5,4,6,2,1]=>[3,8,5,7,4,6,2,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[8,7,3,5,6,4,2,1]=>[5,3,8,7,6,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[8,7,3,6,5,4,2,1]=>[8,7,3,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>[3,5]
[8,5,4,3,2,7,6,1]=>[8,5,7,4,3,2,6,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[8,5,4,3,7,6,2,1]=>[8,5,7,4,3,6,2,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[8,7,4,3,6,5,2,1]=>[8,4,7,6,3,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[8,7,4,6,5,3,2,1]=>[8,4,7,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[4,4]
[2,4,1,3,6,5,8,7]=>[8,6,2,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[2,1,4,6,3,5,8,7]=>[8,4,2,1,3,6,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[2,4,1,6,3,5,8,7]=>[8,4,2,1,6,3,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[2,4,6,1,3,5,8,7]=>[8,2,1,4,3,6,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[2,1,4,3,6,8,5,7]=>[6,4,2,1,3,5,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,4,1,3,6,8,5,7]=>[6,2,1,4,3,5,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[2,1,4,6,3,8,5,7]=>[6,4,2,1,3,8,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,4,1,6,3,8,5,7]=>[6,4,2,1,8,3,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,4,6,1,3,8,5,7]=>[6,2,1,4,3,8,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[2,1,4,6,8,3,5,7]=>[4,2,1,3,6,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[2,4,1,6,8,3,5,7]=>[4,2,1,6,3,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[2,4,6,1,8,3,5,7]=>[4,2,1,6,3,8,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[2,4,6,8,1,3,5,7]=>[2,1,4,3,6,5,8,7]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[2,4,1,3,6,5,7,8]=>[6,2,1,4,3,5,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[2,1,4,6,3,5,7,8]=>[4,2,1,3,6,5,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[2,4,1,6,3,5,7,8]=>[4,2,1,6,3,5,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[2,4,6,1,3,5,7,8]=>[2,1,4,3,6,5,7,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[2,4,1,6,3,7,5,8]=>[6,4,2,7,1,3,5,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[2,4,1,6,7,3,5,8]=>[4,2,1,6,3,7,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[2,4,1,3,6,7,8,5]=>[6,2,1,4,3,7,8,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[2,4,1,6,3,7,8,5]=>[6,4,2,7,1,3,8,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[2,4,1,6,7,3,8,5]=>[6,4,2,7,1,8,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[2,4,6,1,7,3,8,5]=>[6,4,2,7,8,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[2,4,6,7,1,3,8,5]=>[6,2,1,4,7,8,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[2,1,4,6,7,8,3,5]=>[4,2,1,3,6,7,8,5]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[2,4,1,6,7,8,3,5]=>[4,2,1,6,3,7,8,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[2,4,6,7,8,1,3,5]=>[2,1,4,3,6,7,8,5]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[2,1,4,3,7,5,8,6]=>[7,8,4,2,1,3,5,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[2,4,1,3,7,5,8,6]=>[7,8,2,1,4,3,5,6]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[2,1,4,7,3,5,8,6]=>[7,4,2,1,3,8,5,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[2,4,1,7,3,5,8,6]=>[7,4,2,1,8,3,5,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[2,1,4,3,7,8,5,6]=>[4,7,2,1,3,5,8,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[2,4,1,7,3,8,5,6]=>[4,7,2,1,8,3,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[2,4,7,1,3,8,5,6]=>[2,7,1,4,3,8,5,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[2,1,4,7,8,3,5,6]=>[4,2,1,3,5,7,8,6]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[2,4,1,7,8,3,5,6]=>[4,2,1,3,7,5,8,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[2,4,7,1,8,3,5,6]=>[4,2,1,3,7,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[2,4,7,8,1,3,5,6]=>[2,1,4,3,5,7,8,6]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[2,4,1,3,5,7,6,8]=>[7,2,1,4,3,5,6,8]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[2,4,1,5,3,7,6,8]=>[7,4,2,5,1,3,6,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[2,4,5,1,3,7,6,8]=>[7,2,1,4,5,3,6,8]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[2,4,1,3,5,7,8,6]=>[7,2,1,4,3,5,8,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[2,4,1,5,3,7,8,6]=>[7,4,2,5,1,3,8,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[2,1,4,5,7,3,8,6]=>[7,4,2,1,5,8,3,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[2,4,1,5,7,3,8,6]=>[7,4,2,5,1,8,3,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[2,4,5,1,7,3,8,6]=>[7,4,2,5,8,1,3,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[2,4,5,7,1,3,8,6]=>[7,2,1,4,5,8,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[2,1,4,5,7,8,3,6]=>[4,2,1,5,3,7,8,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[2,4,1,5,7,8,3,6]=>[4,2,5,1,3,7,8,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[2,4,5,1,7,8,3,6]=>[4,2,5,1,7,3,8,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[2,4,5,7,1,8,3,6]=>[4,2,5,1,7,8,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[2,1,4,3,8,5,6,7]=>[4,2,8,1,3,5,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[2,4,1,8,3,5,6,7]=>[4,2,1,3,5,8,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[2,4,8,1,3,5,6,7]=>[2,1,4,3,5,6,8,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[2,1,4,3,5,8,6,7]=>[4,8,2,1,3,5,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[2,4,1,5,3,8,6,7]=>[4,8,2,5,1,3,6,7]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[2,4,1,5,8,3,6,7]=>[4,2,5,1,3,6,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[2,4,5,1,8,3,6,7]=>[4,2,5,1,3,8,6,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[2,4,1,5,3,6,8,7]=>[8,4,2,5,1,3,6,7]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[2,4,1,5,6,3,8,7]=>[8,4,2,5,1,6,3,7]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[2,1,4,5,6,8,3,7]=>[4,2,1,5,6,3,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[2,4,1,5,6,8,3,7]=>[4,2,5,1,6,3,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[2,4,5,1,6,8,3,7]=>[4,2,5,6,1,3,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[2,4,5,6,1,8,3,7]=>[4,2,5,6,1,8,3,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[2,4,5,6,8,1,3,7]=>[2,1,4,5,6,3,8,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[2,4,1,3,5,6,7,8]=>[2,1,4,3,5,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[2,4,1,5,3,6,7,8]=>[4,2,5,1,3,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[2,4,5,1,3,6,7,8]=>[2,1,4,5,3,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[2,4,1,5,6,3,7,8]=>[4,2,5,1,6,3,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[2,4,5,1,6,7,3,8]=>[4,2,5,6,1,7,3,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[2,4,5,6,1,7,3,8]=>[4,2,5,6,7,1,3,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[2,4,5,6,7,1,3,8]=>[2,1,4,5,6,7,3,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[2,4,1,5,6,7,8,3]=>[4,2,5,1,6,7,8,3]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[2,4,5,1,6,7,8,3]=>[4,2,5,6,1,7,8,3]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[2,4,5,6,1,7,8,3]=>[4,2,5,6,7,1,8,3]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[2,4,5,6,7,1,8,3]=>[4,2,5,6,7,8,1,3]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[2,4,5,6,7,8,1,3]=>[2,1,4,5,6,7,8,3]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[2,1,5,3,6,4,8,7]=>[8,5,6,2,1,3,4,7]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[2,5,1,3,6,4,8,7]=>[8,5,2,1,6,3,4,7]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[2,1,5,6,3,4,8,7]=>[8,2,5,1,3,6,4,7]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[2,1,5,3,6,8,4,7]=>[5,6,2,1,3,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[2,5,1,3,6,8,4,7]=>[5,2,1,6,3,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[2,5,1,6,3,8,4,7]=>[5,6,2,1,8,3,4,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[2,5,6,1,3,8,4,7]=>[5,2,1,6,3,8,4,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[2,1,5,6,8,3,4,7]=>[2,5,1,3,6,4,8,7]=>[[1,3,4,7],[2,5,6,8]]=>[2,3,3]
[2,5,1,6,8,3,4,7]=>[2,5,1,6,3,4,8,7]=>[[1,3,4,7],[2,5,6,8]]=>[2,3,3]
[2,5,6,8,1,3,4,7]=>[2,1,3,5,6,4,8,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[2,1,5,3,6,4,7,8]=>[5,6,2,1,3,4,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[2,1,5,6,3,4,7,8]=>[2,5,1,3,6,4,7,8]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[2,1,5,3,6,7,4,8]=>[5,6,2,1,3,7,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[2,5,1,3,6,7,4,8]=>[5,2,1,6,3,7,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[2,5,1,6,3,7,4,8]=>[5,6,2,7,1,3,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[2,5,1,6,7,3,4,8]=>[2,5,1,6,3,7,4,8]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[2,5,6,1,7,3,4,8]=>[2,5,1,6,7,3,4,8]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[2,1,5,6,3,7,8,4]=>[5,6,2,1,7,3,8,4]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[2,5,1,6,3,7,8,4]=>[5,6,2,7,1,3,8,4]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[2,1,5,6,7,3,8,4]=>[5,6,2,1,7,8,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[2,5,1,6,7,3,8,4]=>[5,6,2,7,1,8,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[2,5,6,7,1,3,8,4]=>[5,2,1,6,7,8,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[2,1,5,6,7,8,3,4]=>[2,5,1,3,6,7,8,4]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[2,5,1,6,7,8,3,4]=>[2,5,1,6,3,7,8,4]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[2,5,6,1,7,8,3,4]=>[2,5,1,6,7,3,8,4]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[2,5,6,7,1,8,3,4]=>[2,5,1,6,7,8,3,4]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[2,5,6,7,8,1,3,4]=>[2,1,3,5,6,7,8,4]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[2,1,5,3,7,4,8,6]=>[7,5,8,2,1,3,4,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[2,5,1,3,7,4,8,6]=>[7,5,2,1,8,3,4,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[2,5,1,7,3,4,8,6]=>[7,2,5,1,8,3,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[2,5,7,1,3,4,8,6]=>[7,2,1,3,5,8,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[2,1,5,7,3,8,4,6]=>[5,2,7,1,3,8,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[2,5,1,7,3,8,4,6]=>[5,2,7,1,8,3,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[2,5,1,7,8,3,4,6]=>[2,5,1,3,7,4,8,6]=>[[1,3,4,6],[2,5,7,8]]=>[2,3,2,1]
[2,5,7,1,8,3,4,6]=>[2,5,1,3,7,8,4,6]=>[[1,3,4,6],[2,5,7,8]]=>[2,3,2,1]
[2,5,7,8,1,3,4,6]=>[2,1,3,5,4,7,8,6]=>[[1,3,4,6,8],[2,5,7]]=>[2,3,2,1]
[2,3,5,7,1,4,6,8]=>[2,3,1,5,4,7,6,8]=>[[1,3,4,6,8],[2,5,7]]=>[2,3,2,1]
[2,1,3,5,7,4,8,6]=>[7,5,2,1,3,8,4,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[2,3,1,5,7,8,4,6]=>[5,2,3,1,4,7,8,6]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[2,3,5,7,1,8,4,6]=>[5,2,3,1,7,8,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[2,1,5,3,8,4,6,7]=>[5,2,1,8,3,4,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[2,5,1,3,4,8,6,7]=>[2,8,1,3,5,4,6,7]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[2,1,3,5,4,8,6,7]=>[5,8,2,1,3,4,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[2,3,5,1,4,8,6,7]=>[2,8,3,1,5,4,6,7]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[2,3,5,1,8,4,6,7]=>[5,2,3,1,4,8,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[2,3,5,1,6,4,8,7]=>[8,5,2,3,6,1,4,7]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[2,3,5,6,1,4,8,7]=>[8,2,3,1,5,6,4,7]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[2,1,3,5,6,8,4,7]=>[5,2,1,3,6,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[2,3,1,5,6,8,4,7]=>[5,2,3,1,6,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[2,3,5,1,6,8,4,7]=>[5,2,3,6,1,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[2,3,5,6,1,8,4,7]=>[5,2,3,6,1,8,4,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[2,1,5,3,4,6,7,8]=>[2,5,1,3,4,6,7,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[2,3,5,1,4,6,7,8]=>[2,3,1,5,4,6,7,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[2,3,5,6,1,4,7,8]=>[2,3,1,5,6,4,7,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[2,3,5,6,7,1,4,8]=>[2,3,1,5,6,7,4,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[2,3,5,1,6,7,8,4]=>[5,2,3,6,1,7,8,4]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[2,3,5,6,1,7,8,4]=>[5,2,3,6,7,1,8,4]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[2,3,5,6,7,1,8,4]=>[5,2,3,6,7,8,1,4]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[2,3,5,6,7,8,1,4]=>[2,3,1,5,6,7,8,4]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[2,1,6,3,7,4,8,5]=>[6,7,8,2,1,3,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,6,1,3,7,4,8,5]=>[6,7,2,1,8,3,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,6,1,7,3,4,8,5]=>[6,2,7,1,8,3,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,6,7,1,3,4,8,5]=>[6,2,1,3,7,8,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,1,6,3,7,8,4,5]=>[2,6,7,1,3,4,8,5]=>[[1,3,4,5],[2,6,7,8]]=>[2,4,2]
[2,6,1,3,7,8,4,5]=>[2,6,1,3,7,4,8,5]=>[[1,3,4,5],[2,6,7,8]]=>[2,4,2]
[2,1,6,7,3,8,4,5]=>[2,6,7,1,3,8,4,5]=>[[1,3,4,5],[2,6,7,8]]=>[2,4,2]
[2,6,1,7,3,8,4,5]=>[2,6,7,1,8,3,4,5]=>[[1,3,4,5],[2,6,7,8]]=>[2,4,2]
[2,6,7,1,3,8,4,5]=>[2,6,1,3,7,8,4,5]=>[[1,3,4,5],[2,6,7,8]]=>[2,4,2]
[2,1,6,7,8,3,4,5]=>[2,1,6,3,4,7,8,5]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[2,6,1,7,8,3,4,5]=>[2,1,6,3,7,4,8,5]=>[[1,3,4,5],[2,6,7,8]]=>[2,4,2]
[2,6,7,1,8,3,4,5]=>[2,1,6,3,7,8,4,5]=>[[1,3,4,5],[2,6,7,8]]=>[2,4,2]
[2,6,7,8,1,3,4,5]=>[2,1,3,4,6,7,8,5]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[2,1,6,3,4,7,5,8]=>[6,2,7,1,3,4,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[2,3,1,6,4,7,5,8]=>[6,7,2,3,1,4,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[2,3,6,1,7,4,5,8]=>[2,6,3,1,7,4,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[2,3,6,7,1,4,5,8]=>[2,3,1,4,6,7,5,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[2,1,6,3,4,7,8,5]=>[6,2,7,1,3,4,8,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,6,1,3,4,7,8,5]=>[6,2,1,3,7,4,8,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,1,3,6,4,7,8,5]=>[6,7,2,1,3,4,8,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,3,6,1,4,7,8,5]=>[6,2,3,1,7,4,8,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,1,3,6,7,4,8,5]=>[6,7,2,1,3,8,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,3,1,6,7,4,8,5]=>[6,7,2,3,1,8,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,3,6,1,7,4,8,5]=>[6,7,2,3,8,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,3,6,7,1,4,8,5]=>[6,2,3,1,7,8,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,1,3,6,7,8,4,5]=>[2,6,1,3,4,7,8,5]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[2,3,1,6,7,8,4,5]=>[2,6,3,1,4,7,8,5]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[2,3,6,1,7,8,4,5]=>[2,6,3,1,7,4,8,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,3,6,7,1,8,4,5]=>[2,6,3,1,7,8,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,3,6,7,8,1,4,5]=>[2,3,1,4,6,7,8,5]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[2,1,6,3,8,4,5,7]=>[2,6,1,8,3,4,5,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[2,6,1,3,8,4,5,7]=>[2,6,1,3,4,8,5,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[2,1,6,8,3,4,5,7]=>[2,1,6,3,4,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[2,6,1,8,3,4,5,7]=>[2,1,6,3,4,8,5,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[2,6,8,1,3,4,5,7]=>[2,1,3,4,6,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[2,1,3,6,4,8,5,7]=>[6,2,8,1,3,4,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[2,3,1,6,4,8,5,7]=>[6,2,8,3,1,4,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[2,3,1,6,8,4,5,7]=>[2,6,3,1,4,5,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[2,3,6,1,8,4,5,7]=>[2,6,3,1,4,8,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[2,3,6,8,1,4,5,7]=>[2,3,1,4,6,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[2,1,6,3,4,5,8,7]=>[8,2,1,6,3,4,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[2,6,1,3,4,5,8,7]=>[8,2,1,3,4,6,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[2,3,6,1,4,5,8,7]=>[8,2,3,1,4,6,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[2,3,4,6,1,8,5,7]=>[6,2,3,4,1,8,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[2,3,4,6,8,1,5,7]=>[2,3,4,1,6,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[2,6,1,3,4,5,7,8]=>[2,1,3,4,6,5,7,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[2,1,3,6,4,5,7,8]=>[2,6,1,3,4,5,7,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[2,3,4,6,1,5,7,8]=>[2,3,4,1,6,5,7,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[2,3,4,6,7,1,5,8]=>[2,3,4,1,6,7,5,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[2,3,4,6,7,8,1,5]=>[2,3,4,1,6,7,8,5]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[2,1,7,3,8,4,5,6]=>[2,1,7,8,3,4,5,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[2,7,1,3,8,4,5,6]=>[2,1,7,3,4,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[2,7,1,8,3,4,5,6]=>[2,1,3,7,4,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[2,7,8,1,3,4,5,6]=>[2,1,3,4,5,7,8,6]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[2,1,7,3,4,8,5,6]=>[2,7,1,8,3,4,5,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[2,1,3,7,4,8,5,6]=>[2,7,8,1,3,4,5,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[2,3,1,7,4,8,5,6]=>[2,7,8,3,1,4,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[2,3,7,1,4,8,5,6]=>[2,7,3,1,4,8,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[2,1,3,7,8,4,5,6]=>[2,1,7,3,4,5,8,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[2,3,1,7,8,4,5,6]=>[2,3,7,1,4,5,8,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[2,3,7,8,1,4,5,6]=>[2,3,1,4,5,7,8,6]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[2,1,7,3,4,5,8,6]=>[7,2,1,8,3,4,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[2,7,1,3,4,5,8,6]=>[7,2,1,3,4,8,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[2,1,3,7,4,5,8,6]=>[7,2,8,1,3,4,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[2,3,1,7,4,5,8,6]=>[7,2,8,3,1,4,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[2,1,3,4,7,5,8,6]=>[7,8,2,1,3,4,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[2,3,4,1,7,5,8,6]=>[7,8,2,3,4,1,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[2,1,3,4,7,8,5,6]=>[2,7,1,3,4,5,8,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[2,3,1,4,7,8,5,6]=>[2,7,3,1,4,5,8,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[2,3,4,1,7,8,5,6]=>[2,7,3,4,1,5,8,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[2,3,4,7,1,8,5,6]=>[2,7,3,4,1,8,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[2,3,4,7,8,1,5,6]=>[2,3,4,1,5,7,8,6]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[2,7,1,3,4,5,6,8]=>[2,1,3,4,5,7,6,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[2,1,3,7,4,5,6,8]=>[2,1,7,3,4,5,6,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[2,3,1,7,4,5,6,8]=>[2,3,7,1,4,5,6,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[2,3,7,1,4,5,6,8]=>[2,3,1,4,5,7,6,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[2,1,3,4,7,5,6,8]=>[2,7,1,3,4,5,6,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[2,3,4,7,1,5,6,8]=>[2,3,4,1,5,7,6,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[2,3,4,5,7,1,6,8]=>[2,3,4,5,1,7,6,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[2,3,4,5,7,1,8,6]=>[7,2,3,4,5,8,1,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[2,3,4,5,7,8,1,6]=>[2,3,4,5,1,7,8,6]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[2,1,8,3,4,5,6,7]=>[2,1,3,4,8,5,6,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[2,8,1,3,4,5,6,7]=>[2,1,3,4,5,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[2,1,3,8,4,5,6,7]=>[2,1,3,8,4,5,6,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[2,3,1,8,4,5,6,7]=>[2,3,1,8,4,5,6,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[2,3,8,1,4,5,6,7]=>[2,3,1,4,5,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[2,1,3,4,8,5,6,7]=>[2,1,8,3,4,5,6,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[2,3,1,4,8,5,6,7]=>[2,3,8,1,4,5,6,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[2,3,4,1,8,5,6,7]=>[2,3,8,4,1,5,6,7]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[2,3,4,8,1,5,6,7]=>[2,3,4,1,5,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[2,1,3,4,5,8,6,7]=>[2,8,1,3,4,5,6,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[2,3,1,4,5,8,6,7]=>[2,8,3,1,4,5,6,7]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[2,3,4,1,5,8,6,7]=>[2,8,3,4,1,5,6,7]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[2,3,4,5,1,8,6,7]=>[2,8,3,4,5,1,6,7]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[2,3,4,5,8,1,6,7]=>[2,3,4,5,1,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[2,3,4,5,6,8,1,7]=>[2,3,4,5,6,1,8,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[3,1,4,2,6,5,8,7]=>[8,6,3,4,1,2,5,7]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[3,4,1,2,6,5,8,7]=>[8,6,1,3,4,2,5,7]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[3,4,1,6,2,5,8,7]=>[8,3,4,1,6,2,5,7]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[3,4,6,1,2,5,8,7]=>[8,1,3,4,2,6,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[3,1,4,2,6,8,5,7]=>[6,3,4,1,2,5,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[3,4,1,2,6,8,5,7]=>[6,1,3,4,2,5,8,7]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[3,1,4,6,2,8,5,7]=>[6,3,4,1,2,8,5,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[3,1,4,6,8,2,5,7]=>[3,4,1,2,6,5,8,7]=>[[1,2,5,7],[3,4,6,8]]=>[3,3,2]
[3,4,1,6,8,2,5,7]=>[3,4,1,6,2,5,8,7]=>[[1,2,5,7],[3,4,6,8]]=>[3,3,2]
[3,4,6,1,8,2,5,7]=>[3,4,1,6,2,8,5,7]=>[[1,2,5,7],[3,4,6,8]]=>[3,3,2]
[3,4,6,8,1,2,5,7]=>[1,3,4,2,6,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[3,4,1,2,6,5,7,8]=>[6,1,3,4,2,5,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>[3,3,2]
[3,1,4,6,2,5,7,8]=>[3,4,1,2,6,5,7,8]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[3,4,1,2,6,7,5,8]=>[6,1,3,4,2,7,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[3,1,4,6,7,2,5,8]=>[3,4,1,2,6,7,5,8]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[3,4,1,6,7,2,5,8]=>[3,4,1,6,2,7,5,8]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[3,4,6,1,7,2,5,8]=>[3,4,1,6,7,2,5,8]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[3,4,6,7,1,2,5,8]=>[1,3,4,2,6,7,5,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[3,1,4,2,6,7,8,5]=>[6,3,4,1,2,7,8,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[3,4,1,2,6,7,8,5]=>[6,1,3,4,2,7,8,5]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[3,1,4,6,2,7,8,5]=>[6,3,4,1,7,2,8,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[3,4,6,1,2,7,8,5]=>[6,1,3,4,7,2,8,5]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[3,4,1,6,7,2,8,5]=>[6,3,4,7,1,8,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[3,1,4,6,7,8,2,5]=>[3,4,1,2,6,7,8,5]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[3,4,1,6,7,8,2,5]=>[3,4,1,6,2,7,8,5]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[3,4,6,1,7,8,2,5]=>[3,4,1,6,7,2,8,5]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[3,4,6,7,1,8,2,5]=>[3,4,1,6,7,8,2,5]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[3,4,6,7,8,1,2,5]=>[1,3,4,2,6,7,8,5]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[3,1,4,2,7,5,8,6]=>[7,8,3,4,1,2,5,6]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[3,4,1,2,7,8,5,6]=>[1,7,3,4,2,5,8,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[3,1,4,7,2,8,5,6]=>[3,7,4,1,2,8,5,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[3,4,1,7,2,8,5,6]=>[3,7,4,1,8,2,5,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[3,4,7,1,2,8,5,6]=>[1,7,3,4,2,8,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[3,4,1,7,8,2,5,6]=>[3,4,1,2,7,5,8,6]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,1]
[3,4,7,1,8,2,5,6]=>[3,4,1,2,7,8,5,6]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,1]
[3,4,7,8,1,2,5,6]=>[1,3,4,2,5,7,8,6]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[3,4,1,2,7,5,6,8]=>[1,7,3,4,2,5,6,8]=>[[1,2,4,5,6,8],[3],[7]]=>[3,4,1]
[3,1,4,7,2,5,6,8]=>[3,4,1,2,5,7,6,8]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[3,4,7,1,2,5,6,8]=>[1,3,4,2,5,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[3,1,4,5,2,7,6,8]=>[7,3,4,1,5,2,6,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[3,4,5,7,1,2,6,8]=>[1,3,4,5,2,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[3,1,4,2,5,7,8,6]=>[7,3,4,1,2,5,8,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[3,1,4,5,2,7,8,6]=>[7,3,4,1,5,2,8,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[3,4,1,5,2,7,8,6]=>[7,3,4,5,1,2,8,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[3,4,5,1,2,7,8,6]=>[7,1,3,4,5,2,8,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[3,4,5,1,7,2,8,6]=>[7,3,4,5,8,1,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[3,4,1,5,7,8,2,6]=>[3,4,5,1,2,7,8,6]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[3,4,5,7,1,8,2,6]=>[3,4,5,1,7,8,2,6]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[3,4,5,7,8,1,2,6]=>[1,3,4,5,2,7,8,6]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[3,1,4,2,8,5,6,7]=>[3,4,8,1,2,5,6,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[3,4,1,2,8,5,6,7]=>[1,3,8,4,2,5,6,7]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[3,1,4,8,2,5,6,7]=>[3,4,1,2,5,6,8,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[3,4,1,8,2,5,6,7]=>[3,4,1,2,5,8,6,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[3,4,8,1,2,5,6,7]=>[1,3,4,2,5,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[3,4,1,2,5,8,6,7]=>[1,8,3,4,2,5,6,7]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[3,4,5,1,2,8,6,7]=>[1,8,3,4,5,2,6,7]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[3,4,1,5,8,2,6,7]=>[3,4,5,1,2,6,8,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[3,4,5,1,8,2,6,7]=>[3,4,5,1,2,8,6,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[3,1,4,2,5,6,8,7]=>[8,3,4,1,2,5,6,7]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[3,4,1,5,2,6,8,7]=>[8,3,4,5,1,2,6,7]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[3,4,5,1,2,6,8,7]=>[8,1,3,4,5,2,6,7]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[3,4,5,1,6,2,8,7]=>[8,3,4,5,6,1,2,7]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[3,1,4,5,6,8,2,7]=>[3,4,1,5,6,2,8,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[3,4,1,5,6,8,2,7]=>[3,4,5,1,6,2,8,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[3,4,5,1,6,8,2,7]=>[3,4,5,6,1,2,8,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[3,4,5,6,1,8,2,7]=>[3,4,5,6,1,8,2,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[3,4,5,6,8,1,2,7]=>[1,3,4,5,6,2,8,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[3,1,4,2,5,6,7,8]=>[3,4,1,2,5,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[3,1,4,5,2,6,7,8]=>[3,4,1,5,2,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[3,4,1,5,2,6,7,8]=>[3,4,5,1,2,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[3,1,4,5,6,2,7,8]=>[3,4,1,5,6,2,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[3,4,1,5,6,2,7,8]=>[3,4,5,1,6,2,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[3,4,5,1,6,2,7,8]=>[3,4,5,6,1,2,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[3,1,4,5,6,7,2,8]=>[3,4,1,5,6,7,2,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[3,4,1,5,6,7,2,8]=>[3,4,5,1,6,7,2,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[3,4,5,1,6,7,2,8]=>[3,4,5,6,1,7,2,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[3,4,5,6,1,7,2,8]=>[3,4,5,6,7,1,2,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[3,1,4,5,6,7,8,2]=>[3,4,1,5,6,7,8,2]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[3,4,1,5,6,7,8,2]=>[3,4,5,1,6,7,8,2]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[3,4,5,1,6,7,8,2]=>[3,4,5,6,1,7,8,2]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[3,4,5,6,1,7,8,2]=>[3,4,5,6,7,1,8,2]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[3,4,5,6,7,1,8,2]=>[3,4,5,6,7,8,1,2]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[3,1,5,2,6,4,8,7]=>[8,5,3,6,1,2,4,7]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[3,5,1,2,6,4,8,7]=>[8,5,1,3,6,2,4,7]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[3,5,1,6,2,4,8,7]=>[8,3,1,5,6,2,4,7]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[3,5,6,1,2,4,8,7]=>[8,1,3,2,5,6,4,7]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[3,1,5,2,6,8,4,7]=>[5,3,6,1,2,4,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[3,5,1,2,6,8,4,7]=>[5,1,3,6,2,4,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[3,1,5,6,2,8,4,7]=>[5,3,6,1,2,8,4,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[3,5,1,6,2,8,4,7]=>[5,3,6,1,8,2,4,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[3,1,5,6,8,2,4,7]=>[3,1,5,2,6,4,8,7]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[3,5,1,6,8,2,4,7]=>[3,1,5,6,2,4,8,7]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[3,5,6,1,8,2,4,7]=>[3,1,5,6,2,8,4,7]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[3,5,6,8,1,2,4,7]=>[1,3,2,5,6,4,8,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[3,1,5,2,6,4,7,8]=>[5,3,6,1,2,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[3,5,1,6,2,4,7,8]=>[3,1,5,6,2,4,7,8]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[3,5,6,1,2,4,7,8]=>[1,3,2,5,6,4,7,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[3,1,5,2,6,7,4,8]=>[5,3,6,1,2,7,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[3,1,5,6,2,7,4,8]=>[5,3,6,1,7,2,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[3,5,6,7,1,2,4,8]=>[1,3,2,5,6,7,4,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[3,1,5,2,6,7,8,4]=>[5,3,6,1,2,7,8,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[3,1,5,6,2,7,8,4]=>[5,3,6,1,7,2,8,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[3,5,1,6,2,7,8,4]=>[5,3,6,7,1,2,8,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[3,1,5,6,7,2,8,4]=>[5,3,6,1,7,8,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[3,5,1,6,7,2,8,4]=>[5,3,6,7,1,8,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[3,1,5,6,7,8,2,4]=>[3,1,5,2,6,7,8,4]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[3,5,1,6,7,8,2,4]=>[3,1,5,6,2,7,8,4]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[3,5,6,1,7,8,2,4]=>[3,1,5,6,7,2,8,4]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[3,5,6,7,1,8,2,4]=>[3,1,5,6,7,8,2,4]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[3,5,6,7,8,1,2,4]=>[1,3,2,5,6,7,8,4]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[3,1,5,2,7,4,8,6]=>[7,5,3,8,1,2,4,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,5,1,2,7,4,8,6]=>[7,5,1,3,8,2,4,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,1,5,7,2,4,8,6]=>[7,3,1,5,2,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[3,5,1,2,7,8,4,6]=>[5,1,3,2,7,4,8,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[3,1,5,7,2,8,4,6]=>[5,3,1,7,2,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[3,5,1,7,2,8,4,6]=>[5,3,1,7,8,2,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[3,5,7,1,2,8,4,6]=>[5,1,3,2,7,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[3,5,1,7,8,2,4,6]=>[3,1,5,2,7,4,8,6]=>[[1,2,4,6],[3,5,7,8]]=>[3,2,2,1]
[3,5,7,1,8,2,4,6]=>[3,1,5,2,7,8,4,6]=>[[1,2,4,6],[3,5,7,8]]=>[3,2,2,1]
[3,5,7,8,1,2,4,6]=>[1,3,2,5,4,7,8,6]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[3,1,5,2,7,4,6,8]=>[5,3,1,7,2,4,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[3,5,1,2,7,4,6,8]=>[5,1,3,2,7,4,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[3,1,5,7,2,4,6,8]=>[3,1,5,2,4,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[3,5,1,7,2,4,6,8]=>[3,1,5,2,7,4,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[3,5,7,1,2,4,6,8]=>[1,3,2,5,4,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[3,1,5,2,4,7,6,8]=>[7,3,1,5,2,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[3,5,1,2,4,7,6,8]=>[7,1,3,2,5,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[3,1,2,5,4,7,6,8]=>[7,5,1,3,2,4,6,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[1,3,5,2,4,7,6,8]=>[7,3,1,2,5,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[3,1,2,5,7,4,6,8]=>[5,1,3,2,4,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[1,3,2,5,7,4,6,8]=>[5,3,1,2,4,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[1,3,5,2,7,4,6,8]=>[5,3,1,2,7,4,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[1,3,5,7,2,4,6,8]=>[3,1,2,5,4,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[3,1,5,2,4,7,8,6]=>[7,3,1,5,2,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[3,5,1,2,4,7,8,6]=>[7,1,3,2,5,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[1,3,2,5,7,4,8,6]=>[7,5,3,1,2,8,4,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,3,5,7,2,4,8,6]=>[7,3,1,2,5,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[3,1,2,5,7,8,4,6]=>[5,1,3,2,4,7,8,6]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[1,3,2,5,7,8,4,6]=>[5,3,1,2,4,7,8,6]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[1,3,5,2,7,8,4,6]=>[5,3,1,2,7,4,8,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[3,1,5,2,8,4,6,7]=>[5,3,1,2,8,4,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[3,5,1,2,8,4,6,7]=>[5,1,3,2,4,8,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[3,5,1,8,2,4,6,7]=>[3,1,5,2,4,8,6,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[3,1,5,2,4,8,6,7]=>[3,8,1,5,2,4,6,7]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[3,5,1,2,4,8,6,7]=>[1,8,3,2,5,4,6,7]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[1,3,2,5,4,8,6,7]=>[5,8,3,1,2,4,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[3,1,2,5,8,4,6,7]=>[5,1,3,2,4,6,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[1,3,2,5,8,4,6,7]=>[5,3,1,2,4,6,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[1,3,5,2,8,4,6,7]=>[5,3,1,2,4,8,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[1,3,5,8,2,4,6,7]=>[3,1,2,5,4,6,8,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[3,1,5,2,4,6,8,7]=>[8,3,1,5,2,4,6,7]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[3,5,1,2,4,6,8,7]=>[8,1,3,2,5,4,6,7]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[3,1,2,5,4,6,8,7]=>[8,5,1,3,2,4,6,7]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[1,3,5,2,4,6,8,7]=>[8,3,1,2,5,4,6,7]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[1,3,5,2,6,4,8,7]=>[8,5,3,1,6,2,4,7]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[3,1,2,5,6,8,4,7]=>[5,1,3,2,6,4,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[1,3,5,2,6,8,4,7]=>[5,3,1,6,2,4,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[1,3,5,6,2,8,4,7]=>[5,3,1,6,2,8,4,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[3,5,1,2,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[1,3,5,2,6,7,4,8]=>[5,3,1,6,2,7,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[1,3,5,6,2,7,4,8]=>[5,3,1,6,7,2,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[1,3,5,6,7,2,4,8]=>[3,1,2,5,6,7,4,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[3,1,2,5,6,7,8,4]=>[5,1,3,2,6,7,8,4]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[1,3,5,6,7,2,8,4]=>[5,3,1,6,7,8,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[1,3,5,6,7,8,2,4]=>[3,1,2,5,6,7,8,4]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[3,1,6,2,7,4,8,5]=>[6,7,3,8,1,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[3,6,1,2,7,4,8,5]=>[6,7,1,3,8,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[3,6,1,7,2,4,8,5]=>[6,3,1,7,8,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[3,6,7,1,2,4,8,5]=>[6,1,3,2,7,8,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[3,1,6,2,7,8,4,5]=>[3,6,1,7,2,4,8,5]=>[[1,2,4,5],[3,6,7,8]]=>[3,3,2]
[3,6,1,2,7,8,4,5]=>[1,6,3,2,7,4,8,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[3,1,6,7,2,8,4,5]=>[3,6,1,7,2,8,4,5]=>[[1,2,4,5],[3,6,7,8]]=>[3,3,2]
[3,6,1,7,2,8,4,5]=>[3,6,1,7,8,2,4,5]=>[[1,2,4,5],[3,6,7,8]]=>[3,3,2]
[3,6,7,1,2,8,4,5]=>[1,6,3,2,7,8,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[3,1,6,7,8,2,4,5]=>[3,1,2,6,4,7,8,5]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[3,6,1,7,8,2,4,5]=>[3,1,2,6,7,4,8,5]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[3,6,7,1,8,2,4,5]=>[3,1,2,6,7,8,4,5]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[3,6,7,8,1,2,4,5]=>[1,3,2,4,6,7,8,5]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[3,6,1,2,7,4,5,8]=>[1,6,3,2,7,4,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[3,1,6,7,2,4,5,8]=>[3,1,2,6,4,7,5,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[1,3,2,6,4,7,5,8]=>[6,7,3,1,2,4,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[1,3,6,2,4,7,5,8]=>[6,3,1,2,7,4,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[3,1,2,6,7,4,5,8]=>[1,6,3,2,4,7,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[1,3,2,6,7,4,5,8]=>[3,6,1,2,4,7,5,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[1,3,6,7,2,4,5,8]=>[3,1,2,4,6,7,5,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[3,6,1,2,4,7,8,5]=>[6,1,3,2,7,4,8,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[3,1,2,6,4,7,8,5]=>[6,7,1,3,2,4,8,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[1,3,2,6,4,7,8,5]=>[6,7,3,1,2,4,8,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[3,1,2,6,7,4,8,5]=>[6,7,1,3,2,8,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[1,3,2,6,7,4,8,5]=>[6,7,3,1,2,8,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[1,3,6,7,2,4,8,5]=>[6,3,1,2,7,8,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[3,1,2,6,7,8,4,5]=>[1,6,3,2,4,7,8,5]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[1,3,2,6,7,8,4,5]=>[3,6,1,2,4,7,8,5]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[1,3,6,2,7,8,4,5]=>[3,6,1,2,7,4,8,5]=>[[1,2,4,5],[3,6,7,8]]=>[3,3,2]
[1,3,6,7,2,8,4,5]=>[3,6,1,2,7,8,4,5]=>[[1,2,4,5],[3,6,7,8]]=>[3,3,2]
[1,3,6,7,8,2,4,5]=>[3,1,2,4,6,7,8,5]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[3,1,6,2,8,4,5,7]=>[3,6,1,2,8,4,5,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[3,1,6,8,2,4,5,7]=>[3,1,2,6,4,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[3,6,8,1,2,4,5,7]=>[1,3,2,4,6,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[3,1,6,2,4,8,5,7]=>[6,3,1,2,8,4,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[1,3,2,6,4,8,5,7]=>[6,3,8,1,2,4,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[1,3,6,2,4,8,5,7]=>[6,3,1,2,4,8,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[1,3,2,6,8,4,5,7]=>[3,6,1,2,4,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[1,3,6,2,8,4,5,7]=>[3,6,1,2,4,8,5,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[1,3,6,8,2,4,5,7]=>[3,1,2,4,6,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[3,1,6,2,4,5,8,7]=>[8,3,1,2,6,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[3,6,1,2,4,5,8,7]=>[8,1,3,2,4,6,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[1,3,6,2,4,5,8,7]=>[8,3,1,2,4,6,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[3,1,2,4,6,5,8,7]=>[8,6,1,3,2,4,5,7]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[1,3,4,6,2,5,8,7]=>[8,3,1,4,2,6,5,7]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[1,3,2,4,6,8,5,7]=>[6,3,1,2,4,5,8,7]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[1,3,4,6,8,2,5,7]=>[3,1,4,2,6,5,8,7]=>[[1,2,5,7],[3,4,6,8]]=>[3,3,2]
[3,6,1,2,4,5,7,8]=>[1,3,2,4,6,5,7,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[3,1,2,6,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>[3,3,2]
[1,3,2,6,4,5,7,8]=>[3,6,1,2,4,5,7,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[1,3,4,6,7,2,5,8]=>[3,1,4,2,6,7,5,8]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[3,1,2,4,6,7,8,5]=>[6,1,3,2,4,7,8,5]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[1,3,4,6,2,7,8,5]=>[6,3,1,4,7,2,8,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[1,3,4,6,7,2,8,5]=>[6,3,1,4,7,8,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[1,3,4,6,7,8,2,5]=>[3,1,4,2,6,7,8,5]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[3,1,7,2,8,4,5,6]=>[3,1,7,2,8,4,5,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[3,7,1,2,8,4,5,6]=>[1,3,7,2,4,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[3,1,7,8,2,4,5,6]=>[3,1,2,4,7,5,8,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[3,7,1,8,2,4,5,6]=>[3,1,2,4,7,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[3,7,8,1,2,4,5,6]=>[1,3,2,4,5,7,8,6]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[3,1,7,2,4,8,5,6]=>[3,7,1,2,8,4,5,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[3,7,1,2,4,8,5,6]=>[1,7,3,2,4,8,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[1,3,2,7,4,8,5,6]=>[3,7,8,1,2,4,5,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[1,3,7,2,4,8,5,6]=>[3,7,1,2,4,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[3,1,2,7,8,4,5,6]=>[1,3,7,2,4,5,8,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[1,3,2,7,8,4,5,6]=>[3,1,7,2,4,5,8,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[1,3,7,8,2,4,5,6]=>[3,1,2,4,5,7,8,6]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[3,1,7,2,4,5,8,6]=>[7,3,1,2,8,4,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[3,7,1,2,4,5,8,6]=>[7,1,3,2,4,8,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[1,3,2,7,4,5,8,6]=>[7,3,8,1,2,4,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[3,1,2,4,7,5,8,6]=>[7,8,1,3,2,4,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[1,3,2,4,7,5,8,6]=>[7,8,3,1,2,4,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[1,3,4,2,7,5,8,6]=>[7,8,3,1,4,2,5,6]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[3,1,2,4,7,8,5,6]=>[1,7,3,2,4,5,8,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[1,3,2,4,7,8,5,6]=>[3,7,1,2,4,5,8,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[1,3,4,2,7,8,5,6]=>[3,7,1,4,2,5,8,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[1,3,4,7,8,2,5,6]=>[3,1,4,2,5,7,8,6]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[3,1,7,2,4,5,6,8]=>[3,1,2,4,7,5,6,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[3,7,1,2,4,5,6,8]=>[1,3,2,4,5,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[3,1,2,7,4,5,6,8]=>[1,3,7,2,4,5,6,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[1,3,2,7,4,5,6,8]=>[3,1,7,2,4,5,6,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[1,3,7,2,4,5,6,8]=>[3,1,2,4,5,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[3,1,2,4,7,5,6,8]=>[1,7,3,2,4,5,6,8]=>[[1,2,4,5,6,8],[3],[7]]=>[3,4,1]
[1,3,2,4,7,5,6,8]=>[3,7,1,2,4,5,6,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[3,1,2,4,5,7,6,8]=>[7,1,3,2,4,5,6,8]=>[[1,2,4,5,6,8],[3],[7]]=>[3,4,1]
[1,3,4,5,7,2,6,8]=>[3,1,4,5,2,7,6,8]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[1,3,4,5,7,8,2,6]=>[3,1,4,5,2,7,8,6]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[3,1,8,2,4,5,6,7]=>[3,1,2,4,5,8,6,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[3,8,1,2,4,5,6,7]=>[1,3,2,4,5,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[3,1,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[1,3,2,8,4,5,6,7]=>[3,1,2,8,4,5,6,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[1,3,8,2,4,5,6,7]=>[3,1,2,4,5,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[3,1,2,4,8,5,6,7]=>[1,3,8,2,4,5,6,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[1,3,2,4,8,5,6,7]=>[3,1,8,2,4,5,6,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[1,3,4,2,8,5,6,7]=>[3,1,8,4,2,5,6,7]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[3,1,2,4,5,8,6,7]=>[1,8,3,2,4,5,6,7]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[1,3,2,4,5,8,6,7]=>[3,8,1,2,4,5,6,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[3,1,2,4,5,6,8,7]=>[8,1,3,2,4,5,6,7]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[1,3,4,5,6,8,2,7]=>[3,1,4,5,6,2,8,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[4,1,5,2,6,3,8,7]=>[8,4,5,6,1,2,3,7]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[4,5,1,2,6,3,8,7]=>[8,4,1,5,6,2,3,7]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[4,5,1,6,2,3,8,7]=>[8,1,4,5,6,2,3,7]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[4,5,6,1,2,3,8,7]=>[8,1,2,4,5,6,3,7]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[4,1,5,2,6,8,3,7]=>[4,5,6,1,2,3,8,7]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[4,5,1,2,6,8,3,7]=>[4,1,5,6,2,3,8,7]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[4,1,5,6,2,8,3,7]=>[4,5,6,1,2,8,3,7]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[4,5,1,6,2,8,3,7]=>[4,5,6,1,8,2,3,7]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[4,5,6,1,2,8,3,7]=>[4,1,5,6,2,8,3,7]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[4,1,5,6,8,2,3,7]=>[1,4,5,2,6,3,8,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[4,5,6,8,1,2,3,7]=>[1,2,4,5,6,3,8,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[4,1,5,2,6,3,7,8]=>[4,5,6,1,2,3,7,8]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[4,1,5,6,2,3,7,8]=>[1,4,5,2,6,3,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[4,5,1,6,2,3,7,8]=>[1,4,5,6,2,3,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[4,1,5,6,2,7,3,8]=>[4,5,6,1,7,2,3,8]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[4,5,1,6,2,7,3,8]=>[4,5,6,7,1,2,3,8]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[4,1,5,6,7,2,3,8]=>[1,4,5,2,6,7,3,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[4,5,1,6,7,2,3,8]=>[1,4,5,6,2,7,3,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[4,5,6,1,7,2,3,8]=>[1,4,5,6,7,2,3,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[4,1,5,2,6,7,8,3]=>[4,5,6,1,2,7,8,3]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[4,5,1,6,2,7,8,3]=>[4,5,6,7,1,2,8,3]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[4,5,6,1,2,7,8,3]=>[4,1,5,6,7,2,8,3]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[4,1,5,6,7,2,8,3]=>[4,5,6,1,7,8,2,3]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[4,5,1,6,7,2,8,3]=>[4,5,6,7,1,8,2,3]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[4,5,6,1,7,2,8,3]=>[4,5,6,7,8,1,2,3]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[4,5,6,7,1,2,8,3]=>[4,1,5,6,7,8,2,3]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[4,1,5,6,7,8,2,3]=>[1,4,5,2,6,7,8,3]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[4,5,1,6,7,8,2,3]=>[1,4,5,6,2,7,8,3]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[4,5,6,1,7,8,2,3]=>[1,4,5,6,7,2,8,3]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[4,5,6,7,1,8,2,3]=>[1,4,5,6,7,8,2,3]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[4,1,5,2,7,3,8,6]=>[7,4,5,8,1,2,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[4,5,1,2,7,3,8,6]=>[7,4,1,5,8,2,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[4,5,1,7,2,3,8,6]=>[7,1,4,5,8,2,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[4,1,5,2,7,8,3,6]=>[4,5,1,7,2,3,8,6]=>[[1,2,3,6],[4,5,7,8]]=>[4,3,1]
[4,5,1,2,7,8,3,6]=>[4,1,5,2,7,3,8,6]=>[[1,2,3,6],[4,5,7,8]]=>[4,3,1]
[4,1,5,7,2,8,3,6]=>[4,5,1,7,2,8,3,6]=>[[1,2,3,6],[4,5,7,8]]=>[4,3,1]
[4,5,1,7,2,8,3,6]=>[4,5,1,7,8,2,3,6]=>[[1,2,3,6],[4,5,7,8]]=>[4,3,1]
[4,5,7,1,2,8,3,6]=>[4,1,5,2,7,8,3,6]=>[[1,2,3,6],[4,5,7,8]]=>[4,3,1]
[4,1,5,7,8,2,3,6]=>[1,4,5,2,3,7,8,6]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[4,5,1,7,8,2,3,6]=>[1,4,5,2,7,3,8,6]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[4,5,7,1,8,2,3,6]=>[1,4,5,2,7,8,3,6]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[4,5,7,8,1,2,3,6]=>[1,2,4,5,3,7,8,6]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[4,5,1,2,7,3,6,8]=>[4,1,5,2,7,3,6,8]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[4,1,5,7,2,3,6,8]=>[1,4,5,2,3,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[4,5,1,7,2,3,6,8]=>[1,4,5,2,7,3,6,8]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[4,5,7,1,2,3,6,8]=>[1,2,4,5,3,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[4,1,5,2,3,7,6,8]=>[7,1,4,5,2,3,6,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[4,1,2,5,3,7,6,8]=>[7,4,1,5,2,3,6,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[1,4,2,5,3,7,6,8]=>[7,4,5,1,2,3,6,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[4,1,2,5,7,3,6,8]=>[4,1,5,2,3,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[1,4,2,5,7,3,6,8]=>[4,5,1,2,3,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[1,4,5,2,7,3,6,8]=>[4,5,1,2,7,3,6,8]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[1,4,5,7,2,3,6,8]=>[1,4,2,5,3,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[4,1,5,2,3,7,8,6]=>[7,1,4,5,2,3,8,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[4,1,2,5,3,7,8,6]=>[7,4,1,5,2,3,8,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[1,4,2,5,3,7,8,6]=>[7,4,5,1,2,3,8,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[1,4,5,2,3,7,8,6]=>[7,1,4,2,5,3,8,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[1,4,2,5,7,3,8,6]=>[7,4,5,1,2,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[1,4,5,2,7,3,8,6]=>[7,4,5,1,8,2,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[4,1,2,5,7,8,3,6]=>[4,1,5,2,3,7,8,6]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[1,4,5,7,2,8,3,6]=>[4,5,1,2,7,8,3,6]=>[[1,2,3,6],[4,5,7,8]]=>[4,3,1]
[4,1,5,2,8,3,6,7]=>[4,5,1,2,8,3,6,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[4,5,1,2,8,3,6,7]=>[4,1,5,2,3,8,6,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[4,5,1,8,2,3,6,7]=>[1,4,5,2,3,8,6,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[4,1,5,2,3,8,6,7]=>[1,8,4,5,2,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[4,1,2,5,3,8,6,7]=>[4,8,1,5,2,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[1,4,2,5,3,8,6,7]=>[4,8,5,1,2,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[1,4,5,2,3,8,6,7]=>[1,8,4,2,5,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[1,4,5,2,8,3,6,7]=>[4,5,1,2,3,8,6,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[1,4,5,8,2,3,6,7]=>[1,4,2,5,3,6,8,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[4,1,5,2,3,6,8,7]=>[8,1,4,5,2,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[4,5,1,2,3,6,8,7]=>[8,1,2,4,5,3,6,7]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[1,4,2,5,3,6,8,7]=>[8,4,5,1,2,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[4,1,2,5,6,3,8,7]=>[8,4,1,5,2,6,3,7]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[1,4,2,5,6,3,8,7]=>[8,4,5,1,2,6,3,7]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[4,1,2,5,6,8,3,7]=>[4,1,5,2,6,3,8,7]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[1,4,2,5,6,8,3,7]=>[4,5,1,2,6,3,8,7]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[1,4,5,2,6,8,3,7]=>[4,5,1,6,2,3,8,7]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[4,1,5,2,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[4,1,2,5,3,6,7,8]=>[4,1,5,2,3,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[1,4,2,5,3,6,7,8]=>[4,5,1,2,3,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[1,4,5,2,3,6,7,8]=>[1,4,2,5,3,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[4,1,2,5,6,3,7,8]=>[4,1,5,2,6,3,7,8]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[1,4,5,2,6,3,7,8]=>[4,5,1,6,2,3,7,8]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[1,4,2,5,6,7,3,8]=>[4,5,1,2,6,7,3,8]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[1,4,5,2,6,7,3,8]=>[4,5,1,6,2,7,3,8]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[1,4,5,6,7,2,3,8]=>[1,4,2,5,6,7,3,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[4,1,2,5,6,7,8,3]=>[4,1,5,2,6,7,8,3]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[1,4,2,5,6,7,8,3]=>[4,5,1,2,6,7,8,3]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[1,4,5,2,6,7,8,3]=>[4,5,1,6,2,7,8,3]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[1,4,5,6,2,7,8,3]=>[4,5,1,6,7,2,8,3]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[1,4,5,6,7,2,8,3]=>[4,5,1,6,7,8,2,3]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[1,4,5,6,7,8,2,3]=>[1,4,2,5,6,7,8,3]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[4,1,6,2,7,3,8,5]=>[6,4,7,8,1,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[4,6,1,2,7,3,8,5]=>[6,4,1,7,8,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[4,1,6,7,2,3,8,5]=>[6,1,4,7,2,8,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[4,6,1,7,2,3,8,5]=>[6,1,4,7,8,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[4,6,7,1,2,3,8,5]=>[6,1,2,4,7,8,3,5]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[4,1,6,2,7,8,3,5]=>[4,1,6,7,2,3,8,5]=>[[1,2,3,5],[4,6,7,8]]=>[4,2,2]
[4,6,1,2,7,8,3,5]=>[4,1,2,6,7,3,8,5]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[4,6,1,7,2,8,3,5]=>[4,1,6,7,8,2,3,5]=>[[1,2,3,5],[4,6,7,8]]=>[4,2,2]
[4,6,7,1,8,2,3,5]=>[1,4,2,6,7,8,3,5]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[4,6,7,8,1,2,3,5]=>[1,2,4,3,6,7,8,5]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[4,1,6,2,7,3,5,8]=>[4,1,6,7,2,3,5,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[4,6,1,2,7,3,5,8]=>[4,1,2,6,7,3,5,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[4,1,6,7,2,3,5,8]=>[1,4,2,6,3,7,5,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[4,6,1,7,2,3,5,8]=>[1,4,2,6,7,3,5,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[4,6,7,1,2,3,5,8]=>[1,2,4,3,6,7,5,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[4,6,1,2,3,7,5,8]=>[6,1,2,4,7,3,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[4,1,2,6,3,7,5,8]=>[6,4,1,7,2,3,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[1,4,2,6,3,7,5,8]=>[6,4,7,1,2,3,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[4,1,2,6,7,3,5,8]=>[4,1,2,6,3,7,5,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[1,4,2,6,7,3,5,8]=>[4,1,6,2,3,7,5,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[1,4,6,2,7,3,5,8]=>[4,1,6,2,7,3,5,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[1,4,6,7,2,3,5,8]=>[1,4,2,3,6,7,5,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[4,1,6,2,3,7,8,5]=>[6,1,4,7,2,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[4,6,1,2,3,7,8,5]=>[6,1,2,4,7,3,8,5]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[4,1,2,6,3,7,8,5]=>[6,4,1,7,2,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[1,4,2,6,3,7,8,5]=>[6,4,7,1,2,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[1,4,6,2,3,7,8,5]=>[6,1,4,2,7,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[1,4,6,2,7,3,8,5]=>[6,4,7,1,8,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[1,4,6,7,2,3,8,5]=>[6,1,4,2,7,8,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[1,4,2,6,7,8,3,5]=>[4,1,6,2,3,7,8,5]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[1,4,6,2,7,8,3,5]=>[4,1,6,2,7,3,8,5]=>[[1,2,3,5],[4,6,7,8]]=>[4,2,2]
[1,4,6,7,8,2,3,5]=>[1,4,2,3,6,7,8,5]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[4,1,6,2,8,3,5,7]=>[4,1,6,2,8,3,5,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[4,6,1,2,8,3,5,7]=>[4,1,2,6,3,8,5,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[4,1,6,8,2,3,5,7]=>[1,4,2,6,3,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[4,6,1,8,2,3,5,7]=>[1,4,2,6,3,8,5,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[4,6,8,1,2,3,5,7]=>[1,2,4,3,6,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[4,1,6,2,3,8,5,7]=>[6,1,4,2,8,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[4,1,2,6,3,8,5,7]=>[6,4,1,2,8,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[1,4,2,6,3,8,5,7]=>[6,4,1,8,2,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[1,4,6,2,3,8,5,7]=>[6,1,4,2,3,8,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[4,1,2,6,8,3,5,7]=>[4,1,2,6,3,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[1,4,2,6,8,3,5,7]=>[4,1,6,2,3,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[1,4,6,2,8,3,5,7]=>[4,1,6,2,3,8,5,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[1,4,6,8,2,3,5,7]=>[1,4,2,3,6,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[4,1,6,2,3,5,8,7]=>[8,1,4,2,6,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[4,6,1,2,3,5,8,7]=>[8,1,2,4,3,6,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[4,1,2,6,3,5,8,7]=>[8,4,1,2,6,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[1,4,2,6,3,5,8,7]=>[8,4,1,6,2,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[1,4,6,2,3,5,8,7]=>[8,1,4,2,3,6,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[4,1,2,3,6,5,8,7]=>[8,6,1,2,4,3,5,7]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[1,4,2,3,6,5,8,7]=>[8,6,1,4,2,3,5,7]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[4,1,2,3,6,8,5,7]=>[6,1,2,4,3,5,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[1,4,2,3,6,8,5,7]=>[6,1,4,2,3,5,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[1,2,4,6,3,8,5,7]=>[6,4,1,2,3,8,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[1,2,4,6,8,3,5,7]=>[4,1,2,3,6,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[4,1,6,2,3,5,7,8]=>[1,4,2,6,3,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[4,6,1,2,3,5,7,8]=>[1,2,4,3,6,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[1,4,2,6,3,5,7,8]=>[4,1,6,2,3,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[1,4,6,2,3,5,7,8]=>[1,4,2,3,6,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[4,1,2,3,6,5,7,8]=>[6,1,2,4,3,5,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>[4,2,2]
[1,4,2,3,6,5,7,8]=>[6,1,4,2,3,5,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>[4,2,2]
[1,2,4,6,3,5,7,8]=>[4,1,2,3,6,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[1,2,4,6,7,3,5,8]=>[4,1,2,3,6,7,5,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[4,1,2,3,6,7,8,5]=>[6,1,2,4,3,7,8,5]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[1,4,2,3,6,7,8,5]=>[6,1,4,2,3,7,8,5]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[1,2,4,6,7,3,8,5]=>[6,4,1,2,7,8,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[1,2,4,6,7,8,3,5]=>[4,1,2,3,6,7,8,5]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[4,1,7,2,8,3,5,6]=>[4,1,2,7,8,3,5,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[4,7,1,2,8,3,5,6]=>[4,1,2,3,7,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[4,1,7,8,2,3,5,6]=>[1,4,2,3,7,5,8,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[4,7,1,8,2,3,5,6]=>[1,4,2,3,7,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[4,7,8,1,2,3,5,6]=>[1,2,4,3,5,7,8,6]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[4,7,1,2,3,8,5,6]=>[1,7,2,4,3,8,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[4,1,2,7,3,8,5,6]=>[4,7,1,2,8,3,5,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[1,4,2,7,3,8,5,6]=>[4,7,1,8,2,3,5,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[1,4,7,2,3,8,5,6]=>[1,7,4,2,3,8,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[4,1,2,7,8,3,5,6]=>[4,1,2,3,7,5,8,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[1,4,2,7,8,3,5,6]=>[4,1,2,7,3,5,8,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[1,4,7,8,2,3,5,6]=>[1,4,2,3,5,7,8,6]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[4,1,2,7,3,5,8,6]=>[7,4,1,2,8,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[1,4,2,7,3,5,8,6]=>[7,4,1,8,2,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[1,4,2,3,7,5,8,6]=>[7,8,1,4,2,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[1,2,4,7,3,5,8,6]=>[7,4,1,2,3,8,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[4,1,2,3,7,8,5,6]=>[1,7,2,4,3,5,8,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[1,4,2,3,7,8,5,6]=>[1,7,4,2,3,5,8,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[1,2,4,3,7,8,5,6]=>[4,7,1,2,3,5,8,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[1,2,4,7,3,8,5,6]=>[4,7,1,2,3,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[1,2,4,7,8,3,5,6]=>[4,1,2,3,5,7,8,6]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[4,1,7,2,3,5,6,8]=>[1,4,2,3,7,5,6,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[4,7,1,2,3,5,6,8]=>[1,2,4,3,5,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[4,1,2,7,3,5,6,8]=>[4,1,2,3,7,5,6,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[1,4,2,7,3,5,6,8]=>[4,1,2,7,3,5,6,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[1,4,7,2,3,5,6,8]=>[1,4,2,3,5,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[4,1,2,3,7,5,6,8]=>[1,7,2,4,3,5,6,8]=>[[1,2,3,5,6,8],[4],[7]]=>[4,3,1]
[1,4,2,3,7,5,6,8]=>[1,7,4,2,3,5,6,8]=>[[1,2,3,5,6,8],[4],[7]]=>[4,3,1]
[1,2,4,3,7,5,6,8]=>[4,7,1,2,3,5,6,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[1,2,4,7,3,5,6,8]=>[4,1,2,3,5,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[4,1,2,3,5,7,6,8]=>[7,1,2,4,3,5,6,8]=>[[1,2,3,5,6,8],[4],[7]]=>[4,3,1]
[1,4,2,3,5,7,6,8]=>[7,1,4,2,3,5,6,8]=>[[1,2,3,5,6,8],[4],[7]]=>[4,3,1]
[1,2,4,5,7,3,6,8]=>[4,1,2,5,3,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[1,4,2,3,5,7,8,6]=>[7,1,4,2,3,5,8,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[1,2,4,5,7,8,3,6]=>[4,1,2,5,3,7,8,6]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[4,1,8,2,3,5,6,7]=>[1,4,2,3,5,8,6,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[4,8,1,2,3,5,6,7]=>[1,2,4,3,5,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[4,1,2,8,3,5,6,7]=>[4,1,2,3,5,8,6,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[1,4,2,8,3,5,6,7]=>[4,1,2,3,8,5,6,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[1,4,8,2,3,5,6,7]=>[1,4,2,3,5,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[4,1,2,3,8,5,6,7]=>[1,2,8,4,3,5,6,7]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[1,4,2,3,8,5,6,7]=>[1,4,8,2,3,5,6,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[1,2,4,3,8,5,6,7]=>[4,1,8,2,3,5,6,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[1,2,4,8,3,5,6,7]=>[4,1,2,3,5,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[4,1,2,3,5,8,6,7]=>[1,8,2,4,3,5,6,7]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[1,4,2,3,5,8,6,7]=>[1,8,4,2,3,5,6,7]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[1,2,4,3,5,8,6,7]=>[4,8,1,2,3,5,6,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[1,2,4,5,3,8,6,7]=>[4,8,1,2,5,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[4,1,2,3,5,6,8,7]=>[8,1,2,4,3,5,6,7]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[1,4,2,3,5,6,8,7]=>[8,1,4,2,3,5,6,7]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[1,2,4,5,6,8,3,7]=>[4,1,2,5,6,3,8,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>[4,4]
[5,1,6,2,7,3,8,4]=>[5,6,7,8,1,2,3,4]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[5,6,1,2,7,3,8,4]=>[5,6,1,7,8,2,3,4]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[5,1,6,7,2,3,8,4]=>[5,1,6,7,2,8,3,4]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[5,6,1,7,2,3,8,4]=>[5,1,6,7,8,2,3,4]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[5,6,7,1,2,3,8,4]=>[5,1,2,6,7,8,3,4]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[5,1,6,2,7,8,3,4]=>[1,5,6,7,2,3,8,4]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[5,1,6,7,2,8,3,4]=>[1,5,6,7,2,8,3,4]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[5,6,1,7,2,8,3,4]=>[1,5,6,7,8,2,3,4]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[5,6,7,1,2,8,3,4]=>[1,5,2,6,7,8,3,4]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[5,1,6,7,8,2,3,4]=>[1,2,5,6,3,7,8,4]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[5,6,1,7,8,2,3,4]=>[1,2,5,6,7,3,8,4]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[5,6,7,1,8,2,3,4]=>[1,2,5,6,7,8,3,4]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[5,1,6,2,7,3,4,8]=>[1,5,6,7,2,3,4,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[5,6,1,2,7,3,4,8]=>[1,5,2,6,7,3,4,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[5,1,6,7,2,3,4,8]=>[1,2,5,6,3,7,4,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[5,6,1,2,3,7,4,8]=>[5,1,2,6,7,3,4,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[5,1,2,6,3,7,4,8]=>[5,6,1,7,2,3,4,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[1,5,2,6,3,7,4,8]=>[5,6,7,1,2,3,4,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[1,5,6,2,3,7,4,8]=>[5,1,6,2,7,3,4,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[5,1,2,6,7,3,4,8]=>[1,5,2,6,3,7,4,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[5,1,6,2,3,7,8,4]=>[5,1,6,7,2,3,8,4]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[5,6,1,2,3,7,8,4]=>[5,1,2,6,7,3,8,4]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[5,1,2,6,3,7,8,4]=>[5,6,1,7,2,3,8,4]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[1,5,2,6,3,7,8,4]=>[5,6,7,1,2,3,8,4]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[1,5,6,2,3,7,8,4]=>[5,1,6,2,7,3,8,4]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[1,5,2,6,7,3,8,4]=>[5,6,7,1,2,8,3,4]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[1,5,6,2,7,3,8,4]=>[5,6,7,1,8,2,3,4]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[5,1,2,6,7,8,3,4]=>[1,5,2,6,3,7,8,4]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[1,5,2,6,7,8,3,4]=>[1,5,6,2,3,7,8,4]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[1,5,6,7,2,8,3,4]=>[1,5,6,2,7,8,3,4]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[1,5,6,7,8,2,3,4]=>[1,2,5,3,6,7,8,4]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[5,1,6,2,8,3,4,7]=>[1,5,6,2,8,3,4,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[5,6,1,2,8,3,4,7]=>[1,5,2,6,3,8,4,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[5,1,6,8,2,3,4,7]=>[1,2,5,6,3,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[5,6,1,8,2,3,4,7]=>[1,2,5,6,3,8,4,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[5,6,8,1,2,3,4,7]=>[1,2,3,5,6,4,8,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[5,1,6,2,3,8,4,7]=>[5,1,6,2,8,3,4,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[5,6,1,2,3,8,4,7]=>[5,1,2,6,3,8,4,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[5,1,2,6,3,8,4,7]=>[5,6,1,2,8,3,4,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[1,5,2,6,3,8,4,7]=>[5,6,1,8,2,3,4,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[1,5,6,2,3,8,4,7]=>[5,1,6,2,3,8,4,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[5,1,2,6,8,3,4,7]=>[1,5,2,6,3,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[1,5,2,6,8,3,4,7]=>[1,5,6,2,3,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[1,5,6,2,8,3,4,7]=>[1,5,6,2,3,8,4,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[1,5,6,8,2,3,4,7]=>[1,2,5,3,6,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[5,1,6,2,3,4,8,7]=>[8,1,2,5,6,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[5,6,1,2,3,4,8,7]=>[8,1,2,3,5,6,4,7]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[5,1,2,6,3,4,8,7]=>[8,1,5,2,6,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[5,1,2,3,6,4,8,7]=>[8,5,1,2,6,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[1,5,2,3,6,4,8,7]=>[8,5,1,6,2,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[1,2,5,3,6,4,8,7]=>[8,5,6,1,2,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[5,1,2,3,6,8,4,7]=>[5,1,2,6,3,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[1,5,2,3,6,8,4,7]=>[5,1,6,2,3,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[1,2,5,3,6,8,4,7]=>[5,6,1,2,3,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[1,2,5,6,3,8,4,7]=>[5,6,1,2,3,8,4,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[1,2,5,6,8,3,4,7]=>[1,5,2,3,6,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[5,1,6,2,3,4,7,8]=>[1,2,5,6,3,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[5,1,2,6,3,4,7,8]=>[1,5,2,6,3,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[1,5,2,6,3,4,7,8]=>[1,5,6,2,3,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[1,5,6,2,3,4,7,8]=>[1,2,5,3,6,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[5,1,2,3,6,4,7,8]=>[5,1,2,6,3,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[1,5,2,3,6,4,7,8]=>[5,1,6,2,3,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[1,2,5,6,3,4,7,8]=>[1,5,2,3,6,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[5,1,2,3,6,7,4,8]=>[5,1,2,6,3,7,4,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[1,5,2,3,6,7,4,8]=>[5,1,6,2,3,7,4,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[1,2,5,6,7,3,4,8]=>[1,5,2,3,6,7,4,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[5,1,2,3,6,7,8,4]=>[5,1,2,6,3,7,8,4]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[1,5,2,3,6,7,8,4]=>[5,1,6,2,3,7,8,4]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[1,2,5,3,6,7,8,4]=>[5,6,1,2,3,7,8,4]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[1,2,5,6,3,7,8,4]=>[5,6,1,2,7,3,8,4]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[1,2,5,6,7,3,8,4]=>[5,6,1,2,7,8,3,4]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[1,2,5,6,7,8,3,4]=>[1,5,2,3,6,7,8,4]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[5,1,7,2,8,3,4,6]=>[1,5,2,7,8,3,4,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[5,7,1,2,8,3,4,6]=>[1,5,2,3,7,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[5,1,7,8,2,3,4,6]=>[1,2,5,3,7,4,8,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[5,7,8,1,2,3,4,6]=>[1,2,3,5,4,7,8,6]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[5,1,7,2,3,8,4,6]=>[5,1,2,7,8,3,4,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[5,7,1,2,3,8,4,6]=>[5,1,2,3,7,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[5,1,2,7,3,8,4,6]=>[5,1,7,2,8,3,4,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[1,5,2,7,3,8,4,6]=>[5,1,7,8,2,3,4,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[1,5,7,2,3,8,4,6]=>[5,1,2,7,3,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[5,1,2,7,8,3,4,6]=>[1,5,2,3,7,4,8,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[1,5,2,7,8,3,4,6]=>[1,5,2,7,3,4,8,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[1,5,7,2,8,3,4,6]=>[1,5,2,7,3,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[1,5,7,8,2,3,4,6]=>[1,2,5,3,4,7,8,6]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[5,1,7,2,3,4,8,6]=>[7,1,2,5,8,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[5,7,1,2,3,4,8,6]=>[7,1,2,3,5,8,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[5,1,2,7,3,4,8,6]=>[7,1,5,2,8,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[1,5,2,7,3,4,8,6]=>[7,1,5,8,2,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[1,5,7,2,3,4,8,6]=>[7,1,2,5,3,8,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[5,1,2,3,7,4,8,6]=>[7,5,1,2,8,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[1,5,2,3,7,4,8,6]=>[7,5,1,8,2,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[1,2,5,3,7,4,8,6]=>[7,5,8,1,2,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[5,1,2,3,7,8,4,6]=>[5,1,2,3,7,4,8,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[1,5,2,3,7,8,4,6]=>[5,1,2,7,3,4,8,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[1,2,5,3,7,8,4,6]=>[5,1,7,2,3,4,8,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[1,2,5,7,3,8,4,6]=>[5,1,7,2,3,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[1,2,5,7,8,3,4,6]=>[1,5,2,3,4,7,8,6]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[5,1,7,2,3,4,6,8]=>[1,2,5,3,7,4,6,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[5,7,1,2,3,4,6,8]=>[1,2,3,5,4,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[5,1,2,7,3,4,6,8]=>[1,5,2,3,7,4,6,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[1,5,2,7,3,4,6,8]=>[1,5,2,7,3,4,6,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[1,5,7,2,3,4,6,8]=>[1,2,5,3,4,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[1,5,2,3,7,4,6,8]=>[5,1,2,7,3,4,6,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[1,2,5,3,7,4,6,8]=>[5,1,7,2,3,4,6,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[1,2,5,7,3,4,6,8]=>[1,5,2,3,4,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[5,1,2,3,4,7,6,8]=>[7,1,2,3,5,4,6,8]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[1,5,2,3,4,7,6,8]=>[7,1,2,5,3,4,6,8]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[5,1,2,3,4,7,8,6]=>[7,1,2,3,5,4,8,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[1,5,2,3,4,7,8,6]=>[7,1,2,5,3,4,8,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[1,2,5,3,4,7,8,6]=>[7,1,5,2,3,4,8,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[1,2,3,5,7,4,8,6]=>[7,5,1,2,3,8,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[1,2,3,5,7,8,4,6]=>[5,1,2,3,4,7,8,6]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[5,1,8,2,3,4,6,7]=>[1,2,5,3,4,8,6,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[5,8,1,2,3,4,6,7]=>[1,2,3,5,4,6,8,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[5,1,2,8,3,4,6,7]=>[1,5,2,3,4,8,6,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[1,5,2,8,3,4,6,7]=>[1,5,2,3,8,4,6,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[1,5,8,2,3,4,6,7]=>[1,2,5,3,4,6,8,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[5,1,2,3,8,4,6,7]=>[5,1,2,3,4,8,6,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[1,5,2,3,8,4,6,7]=>[5,1,2,3,8,4,6,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[1,2,5,3,8,4,6,7]=>[5,1,2,8,3,4,6,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[1,2,5,8,3,4,6,7]=>[1,5,2,3,4,6,8,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[5,1,2,3,4,8,6,7]=>[1,8,2,3,5,4,6,7]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[1,5,2,3,4,8,6,7]=>[1,8,2,5,3,4,6,7]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[1,2,3,5,4,8,6,7]=>[5,8,1,2,3,4,6,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[1,2,3,5,8,4,6,7]=>[5,1,2,3,4,6,8,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[5,1,2,3,4,6,8,7]=>[8,1,2,3,5,4,6,7]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[1,5,2,3,4,6,8,7]=>[8,1,2,5,3,4,6,7]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[1,2,5,3,4,6,8,7]=>[8,1,5,2,3,4,6,7]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[1,5,2,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>[[1,2,3,4,6,7,8],[5]]=>[5,3]
[1,2,5,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[[1,2,3,4,6,7,8],[5]]=>[5,3]
[6,1,7,2,8,3,4,5]=>[1,2,6,7,8,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[6,7,1,2,8,3,4,5]=>[1,2,6,3,7,8,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[6,1,7,8,2,3,4,5]=>[1,2,3,6,7,4,8,5]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[6,7,1,8,2,3,4,5]=>[1,2,3,6,7,8,4,5]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[6,1,7,2,3,8,4,5]=>[1,6,2,7,8,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[6,7,1,2,3,8,4,5]=>[1,6,2,3,7,8,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[6,1,2,7,3,8,4,5]=>[1,6,7,2,8,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[1,6,2,7,3,8,4,5]=>[1,6,7,8,2,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[1,6,7,2,3,8,4,5]=>[1,6,2,7,3,8,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[6,1,2,7,8,3,4,5]=>[1,2,6,3,7,4,8,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[1,6,7,2,8,3,4,5]=>[1,2,6,7,3,8,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[1,6,7,8,2,3,4,5]=>[1,2,3,6,4,7,8,5]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[6,1,7,2,3,4,8,5]=>[6,1,2,7,8,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[6,7,1,2,3,4,8,5]=>[6,1,2,3,7,8,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[6,1,2,7,3,4,8,5]=>[6,1,7,2,8,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[1,6,2,7,3,4,8,5]=>[6,1,7,8,2,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[1,6,7,2,3,4,8,5]=>[6,1,2,7,3,8,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[6,1,2,3,7,4,8,5]=>[6,7,1,2,8,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[1,6,2,3,7,4,8,5]=>[6,7,1,8,2,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[1,2,6,3,7,4,8,5]=>[6,7,8,1,2,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[1,2,6,7,3,4,8,5]=>[6,1,7,2,3,8,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[6,1,2,3,7,8,4,5]=>[1,6,2,3,7,4,8,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[1,6,2,3,7,8,4,5]=>[1,6,2,7,3,4,8,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[1,2,6,3,7,8,4,5]=>[1,6,7,2,3,4,8,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[1,2,6,7,3,8,4,5]=>[1,6,7,2,3,8,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[1,2,6,7,8,3,4,5]=>[1,2,6,3,4,7,8,5]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[6,1,7,2,3,4,5,8]=>[1,2,3,6,7,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[6,1,2,7,3,4,5,8]=>[1,2,6,3,7,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[1,6,2,7,3,4,5,8]=>[1,2,6,7,3,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[1,6,7,2,3,4,5,8]=>[1,2,3,6,4,7,5,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[6,1,2,3,7,4,5,8]=>[1,6,2,3,7,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[1,6,2,3,7,4,5,8]=>[1,6,2,7,3,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[1,2,6,3,7,4,5,8]=>[1,6,7,2,3,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[1,2,6,7,3,4,5,8]=>[1,2,6,3,4,7,5,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[6,1,2,3,4,7,5,8]=>[6,1,2,3,7,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[1,6,2,3,4,7,5,8]=>[6,1,2,7,3,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[1,2,6,3,4,7,5,8]=>[6,1,7,2,3,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[1,2,3,6,4,7,5,8]=>[6,7,1,2,3,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[1,2,3,6,7,4,5,8]=>[1,6,2,3,4,7,5,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[6,1,2,3,4,7,8,5]=>[6,1,2,3,7,4,8,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[1,6,2,3,4,7,8,5]=>[6,1,2,7,3,4,8,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[1,2,6,3,4,7,8,5]=>[6,1,7,2,3,4,8,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[1,2,3,6,4,7,8,5]=>[6,7,1,2,3,4,8,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[1,2,3,6,7,4,8,5]=>[6,7,1,2,3,8,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[1,2,3,6,7,8,4,5]=>[1,6,2,3,4,7,8,5]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[6,1,8,2,3,4,5,7]=>[1,2,3,6,4,8,5,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[6,8,1,2,3,4,5,7]=>[1,2,3,4,6,5,8,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[6,1,2,8,3,4,5,7]=>[1,2,6,3,4,8,5,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[1,6,2,8,3,4,5,7]=>[1,2,6,3,8,4,5,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[1,6,8,2,3,4,5,7]=>[1,2,3,6,4,5,8,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[6,1,2,3,8,4,5,7]=>[1,6,2,3,4,8,5,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[1,6,2,3,8,4,5,7]=>[1,6,2,3,8,4,5,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[1,2,6,3,8,4,5,7]=>[1,6,2,8,3,4,5,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[1,2,6,8,3,4,5,7]=>[1,2,6,3,4,5,8,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[6,1,2,3,4,8,5,7]=>[6,1,2,3,4,8,5,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[1,6,2,3,4,8,5,7]=>[6,1,2,3,8,4,5,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[1,2,6,3,4,8,5,7]=>[6,1,2,8,3,4,5,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[1,2,3,6,4,8,5,7]=>[6,1,8,2,3,4,5,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[1,2,3,6,8,4,5,7]=>[1,6,2,3,4,5,8,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[6,1,2,3,4,5,8,7]=>[8,1,2,3,4,6,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[1,6,2,3,4,5,8,7]=>[8,1,2,3,6,4,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[1,2,6,3,4,5,8,7]=>[8,1,2,6,3,4,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[1,2,3,6,4,5,8,7]=>[8,1,6,2,3,4,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[1,2,3,4,6,8,5,7]=>[6,1,2,3,4,5,8,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[1,6,2,3,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[[1,2,3,4,5,7,8],[6]]=>[6,2]
[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[[1,2,3,4,5,7,8],[6]]=>[6,2]
[1,2,3,6,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[[1,2,3,4,5,7,8],[6]]=>[6,2]
[7,1,8,2,3,4,5,6]=>[1,2,3,4,7,8,5,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[7,1,2,8,3,4,5,6]=>[1,2,3,7,4,8,5,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[1,7,2,8,3,4,5,6]=>[1,2,3,7,8,4,5,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[1,7,8,2,3,4,5,6]=>[1,2,3,4,7,5,8,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[7,1,2,3,8,4,5,6]=>[1,2,7,3,4,8,5,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[1,7,2,3,8,4,5,6]=>[1,2,7,3,8,4,5,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[1,2,7,3,8,4,5,6]=>[1,2,7,8,3,4,5,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[1,2,7,8,3,4,5,6]=>[1,2,3,7,4,5,8,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[7,1,2,3,4,8,5,6]=>[1,7,2,3,4,8,5,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,4,5,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[1,2,7,3,4,8,5,6]=>[1,7,2,8,3,4,5,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[1,2,3,7,4,8,5,6]=>[1,7,8,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[1,2,3,7,8,4,5,6]=>[1,2,7,3,4,5,8,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[7,1,2,3,4,5,8,6]=>[7,1,2,3,4,8,5,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[1,7,2,3,4,5,8,6]=>[7,1,2,3,8,4,5,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[1,2,7,3,4,5,8,6]=>[7,1,2,8,3,4,5,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[1,2,3,7,4,5,8,6]=>[7,1,8,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[1,2,3,4,7,5,8,6]=>[7,8,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[1,2,3,4,7,8,5,6]=>[1,7,2,3,4,5,8,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[1,7,2,3,4,5,6,8]=>[1,2,3,4,7,5,6,8]=>[[1,2,3,4,5,6,8],[7]]=>[7,1]
[1,2,7,3,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[[1,2,3,4,5,6,8],[7]]=>[7,1]
[1,2,3,7,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[[1,2,3,4,5,6,8],[7]]=>[7,1]
[1,2,3,4,7,5,6,8]=>[1,7,2,3,4,5,6,8]=>[[1,2,3,4,5,6,8],[7]]=>[7,1]
[1,8,2,3,4,5,6,7]=>[1,2,3,4,5,8,6,7]=>[[1,2,3,4,5,6,7],[8]]=>[8]
[1,2,8,3,4,5,6,7]=>[1,2,3,4,8,5,6,7]=>[[1,2,3,4,5,6,7],[8]]=>[8]
[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[[1,2,3,4,5,6,7],[8]]=>[8]
[1,2,3,4,8,5,6,7]=>[1,2,8,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8]]=>[8]
[1,2,3,4,5,8,6,7]=>[1,8,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8]]=>[8]
[5,3,2,6,1,4,8,7]=>[8,3,5,2,1,6,4,7]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[7,3,2,5,4,8,1,6]=>[3,7,5,2,4,1,8,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[8,4,5,2,3,7,6,1]=>[8,2,4,5,7,3,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[7,4,5,2,3,8,1,6]=>[2,4,5,7,3,1,8,6]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[6,4,5,2,3,1,8,7]=>[8,2,4,6,5,3,1,7]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[5,4,6,2,1,3,8,7]=>[8,2,5,4,6,1,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[3,6,1,5,4,2,8,7]=>[8,6,3,5,1,4,2,7]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[4,6,5,1,3,2,8,7]=>[8,6,1,4,5,3,2,7]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[5,6,4,3,1,2,8,7]=>[8,1,5,6,4,3,2,7]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[7,5,4,3,2,8,1,6]=>[5,7,4,3,2,1,8,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[8,6,4,3,7,2,5,1]=>[4,6,8,3,2,7,5,1]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[7,6,4,3,8,2,1,5]=>[4,7,6,3,2,8,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[6,7,4,3,8,1,2,5]=>[1,4,6,7,3,2,8,5]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[5,7,4,3,1,8,2,6]=>[5,4,7,3,1,8,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[4,7,5,1,3,8,2,6]=>[1,7,4,5,3,2,8,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[3,7,1,5,4,8,2,6]=>[3,7,5,1,4,2,8,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[2,1,7,5,4,8,3,6]=>[5,7,4,2,1,3,8,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[3,8,1,5,4,7,6,2]=>[8,3,7,5,1,4,6,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[4,8,5,1,3,7,6,2]=>[8,4,1,7,5,3,6,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[5,8,4,3,1,7,6,2]=>[8,5,4,7,3,6,1,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[6,8,4,3,7,1,5,2]=>[4,6,3,8,7,1,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[7,8,4,3,6,5,1,2]=>[1,7,4,8,6,3,5,2]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[6,8,5,7,3,1,4,2]=>[3,6,5,8,7,4,1,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[5,8,6,7,1,3,4,2]=>[3,1,5,8,6,7,4,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[4,8,6,1,7,3,5,2]=>[4,8,1,6,7,3,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[3,8,1,6,7,4,5,2]=>[3,6,4,1,8,7,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[2,1,8,6,7,4,5,3]=>[8,2,6,1,4,7,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[2,1,7,6,8,4,3,5]=>[2,7,6,8,1,4,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[3,7,1,6,8,4,2,5]=>[3,7,1,6,4,8,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[4,7,6,1,8,3,2,5]=>[4,7,3,6,8,1,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[5,7,6,8,1,3,2,4]=>[1,7,3,5,6,8,2,4]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[5,4,7,2,1,8,3,6]=>[5,4,2,7,8,1,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[6,4,7,2,8,1,3,5]=>[2,4,6,1,7,3,8,5]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[7,4,6,2,8,3,1,5]=>[4,2,7,6,8,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[8,4,6,2,7,3,5,1]=>[4,2,6,8,7,3,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[8,3,2,6,7,4,5,1]=>[3,8,2,4,6,7,5,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[7,3,2,6,8,4,1,5]=>[3,7,2,6,4,8,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[6,3,2,7,8,1,4,5]=>[3,2,6,1,4,7,8,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[5,3,2,7,1,8,4,6]=>[5,3,7,2,1,8,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[4,3,2,1,7,8,5,6]=>[4,7,3,2,1,5,8,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[3,4,1,2,8,7,6,5]=>[8,7,6,1,3,4,2,5]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[5,3,2,8,1,7,6,4]=>[8,5,7,3,2,1,6,4]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[6,3,2,8,7,1,5,4]=>[8,3,6,7,2,1,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[7,3,2,8,6,5,1,4]=>[3,7,8,6,2,1,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[8,4,7,2,6,5,3,1]=>[8,4,7,2,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[7,4,8,2,6,5,1,3]=>[2,7,4,8,1,6,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[6,4,8,2,7,1,5,3]=>[4,6,8,2,1,7,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[5,4,8,2,1,7,6,3]=>[8,5,4,7,2,6,1,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[4,5,8,1,2,7,6,3]=>[8,4,1,5,7,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[3,5,1,8,2,7,6,4]=>[8,5,3,7,1,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[2,1,5,8,3,7,6,4]=>[8,5,7,2,1,3,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[2,1,6,8,7,3,5,4]=>[8,2,6,7,1,3,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[3,6,1,8,7,2,5,4]=>[8,3,6,1,7,5,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[4,6,8,1,7,2,5,3]=>[4,6,1,8,7,2,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[5,6,8,7,1,2,4,3]=>[8,1,2,5,6,7,4,3]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[6,5,8,7,2,1,4,3]=>[8,2,6,5,7,4,1,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[7,5,8,6,2,4,1,3]=>[2,1,7,8,5,6,4,3]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[8,5,7,6,2,4,3,1]=>[8,2,5,7,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[2,3,3]
[5,7,8,6,1,4,2,3]=>[1,7,2,5,8,6,4,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[4,7,8,1,6,5,2,3]=>[1,7,4,8,2,6,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[3,7,1,8,6,5,2,4]=>[3,7,8,1,6,5,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[2,1,7,8,6,5,3,4]=>[2,7,8,6,1,3,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[3,8,1,7,6,5,4,2]=>[8,7,6,3,5,1,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[4,8,7,1,6,5,3,2]=>[8,4,7,6,5,1,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[5,8,7,6,1,4,3,2]=>[8,7,1,5,6,4,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[6,8,7,5,4,1,3,2]=>[8,1,6,7,5,4,3,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[8,7,6,5,4,3,2,1,10,9]=>[10,8,7,6,5,4,3,2,1,9]=>[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]]=>[8,2]
[6,7,8,9,10,1,2,3,4,5]=>[1,2,3,4,6,7,8,9,10,5]=>[[1,2,3,4,5,7,8,9,10],[6]]=>[6,4]
[2,1,10,9,8,7,6,5,4,3]=>[10,9,8,7,6,5,4,2,1,3]=>[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]]=>[2,8]
[9,10,8,7,6,5,4,3,1,2]=>[1,9,10,8,7,6,5,4,3,2]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[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]]=>[10]
[4,2,5,1,3,6,7,8]=>[2,4,1,5,3,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[5,2,4,1,3,6,7,8]=>[2,1,5,4,3,6,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[4,2,6,1,3,5,7,8]=>[2,4,1,3,6,5,7,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[6,2,4,1,3,5,7,8]=>[2,1,4,6,3,5,7,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[6,3,5,1,2,4,7,8]=>[1,3,2,6,5,4,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[5,3,7,1,2,4,6,8]=>[1,3,5,2,4,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[6,3,7,1,2,4,5,8]=>[1,3,2,6,4,7,5,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[7,3,5,1,2,4,6,8]=>[1,3,2,5,7,4,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[7,3,6,1,2,4,5,8]=>[1,3,2,4,7,6,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[3,2,8,1,4,5,6,7]=>[3,2,1,4,5,6,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[4,3,8,1,2,5,6,7]=>[1,4,3,2,5,6,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[5,2,8,1,3,4,6,7]=>[2,1,5,3,4,6,8,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[5,3,8,1,2,4,6,7]=>[1,3,5,2,4,6,8,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[5,4,8,1,2,3,6,7]=>[1,2,5,4,3,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[6,2,8,1,3,4,5,7]=>[2,1,3,6,4,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[6,4,8,1,2,3,5,7]=>[1,2,4,6,3,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[6,5,8,1,2,3,4,7]=>[1,2,3,6,5,4,8,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[7,2,8,1,3,4,5,6]=>[2,1,3,4,7,5,8,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[7,3,8,1,2,4,5,6]=>[1,3,2,4,7,5,8,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[7,4,8,1,2,3,5,6]=>[1,2,4,3,7,5,8,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[7,5,8,1,2,3,4,6]=>[1,2,3,5,7,4,8,6]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[8,2,4,1,3,5,6,7]=>[2,1,4,3,5,8,6,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[8,3,5,1,2,4,6,7]=>[1,3,2,5,4,8,6,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[8,3,6,1,2,4,5,7]=>[1,3,2,4,6,8,5,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[8,2,7,1,3,4,5,6]=>[2,1,3,4,5,8,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[8,3,7,1,2,4,5,6]=>[1,3,2,4,5,8,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[8,4,7,1,2,3,5,6]=>[1,2,4,3,5,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[8,5,7,1,2,3,4,6]=>[1,2,3,5,4,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[3,2,5,7,1,4,6,8]=>[3,2,1,5,4,7,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[4,2,5,7,1,3,6,8]=>[2,4,1,5,3,7,6,8]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[5,2,4,7,1,3,6,8]=>[2,1,5,4,3,7,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[5,3,4,7,1,2,6,8]=>[1,3,5,4,2,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[4,3,6,7,1,2,5,8]=>[1,4,3,2,6,7,5,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[5,2,6,7,1,3,4,8]=>[2,1,5,3,6,7,4,8]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[5,3,6,7,1,2,4,8]=>[1,3,5,2,6,7,4,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[6,2,4,7,1,3,5,8]=>[2,1,4,6,3,7,5,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[6,3,4,7,1,2,5,8]=>[1,3,4,6,2,7,5,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[7,3,5,6,1,2,4,8]=>[1,3,2,5,7,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[4,2,5,8,1,3,6,7]=>[2,4,1,5,3,6,8,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[5,3,4,8,1,2,6,7]=>[1,3,5,4,2,6,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[4,2,6,8,1,3,5,7]=>[2,4,1,3,6,5,8,7]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[6,2,4,8,1,3,5,7]=>[2,1,4,6,3,5,8,7]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[6,3,4,8,1,2,5,7]=>[1,3,4,6,2,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[6,3,5,8,1,2,4,7]=>[1,3,2,6,5,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[3,2,7,8,1,4,5,6]=>[3,2,1,4,5,7,8,6]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[4,2,7,8,1,3,5,6]=>[2,4,1,3,5,7,8,6]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[4,3,7,8,1,2,5,6]=>[1,4,3,2,5,7,8,6]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[5,4,7,8,1,2,3,6]=>[1,2,5,4,3,7,8,6]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[7,2,4,8,1,3,5,6]=>[2,1,4,3,7,5,8,6]=>[[1,3,5,6],[2,4,7,8]]=>[2,2,3,1]
[7,3,4,8,1,2,5,6]=>[1,3,4,2,7,5,8,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[7,4,5,8,1,2,3,6]=>[1,2,4,5,7,3,8,6]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[7,2,6,8,1,3,4,5]=>[2,1,3,4,7,6,8,5]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[7,3,6,8,1,2,4,5]=>[1,3,2,4,7,6,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[7,4,6,8,1,2,3,5]=>[1,2,4,3,7,6,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[8,2,4,6,1,3,5,7]=>[2,1,4,3,6,8,5,7]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[8,2,5,6,1,3,4,7]=>[2,1,3,5,6,8,4,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[8,2,4,7,1,3,5,6]=>[2,1,4,3,5,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[8,2,5,7,1,3,4,6]=>[2,1,3,5,4,8,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,3,5,7,1,2,4,6]=>[1,3,2,5,4,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,4,5,7,1,2,3,6]=>[1,2,4,5,3,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[8,3,6,7,1,2,4,5]=>[1,3,2,4,6,8,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[4,6,2,5,1,3,7,8]=>[2,4,1,6,5,3,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[4,6,3,5,1,2,7,8]=>[1,4,3,6,5,2,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[5,6,2,4,1,3,7,8]=>[2,1,5,6,4,3,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[3,7,2,5,1,4,6,8]=>[3,2,1,5,7,4,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[5,7,3,4,1,2,6,8]=>[1,3,5,4,7,2,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[3,7,2,6,1,4,5,8]=>[3,2,1,4,7,6,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[4,7,3,6,1,2,5,8]=>[1,4,3,2,7,6,5,8]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[6,7,2,5,1,3,4,8]=>[2,1,3,6,7,5,4,8]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[6,7,3,5,1,2,4,8]=>[1,3,2,6,7,5,4,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[4,8,2,5,1,3,6,7]=>[2,4,1,5,3,8,6,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[4,8,2,6,1,3,5,7]=>[2,4,1,3,6,8,5,7]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[5,8,2,6,1,3,4,7]=>[2,1,5,3,6,8,4,7]=>[[1,3,4,7],[2,5,6,8]]=>[2,3,3]
[5,8,3,6,1,2,4,7]=>[1,3,5,2,6,8,4,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[6,8,2,4,1,3,5,7]=>[2,1,4,6,3,8,5,7]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[6,8,2,5,1,3,4,7]=>[2,1,3,6,5,8,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[6,8,3,5,1,2,4,7]=>[1,3,2,6,5,8,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[6,8,4,5,1,2,3,7]=>[1,2,4,6,5,8,3,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[3,8,2,7,1,4,5,6]=>[3,2,1,4,5,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[4,8,2,7,1,3,5,6]=>[2,4,1,3,5,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[4,8,3,7,1,2,5,6]=>[1,4,3,2,5,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[5,8,3,7,1,2,4,6]=>[1,3,5,2,4,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[5,8,4,7,1,2,3,6]=>[1,2,5,4,3,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[6,8,2,7,1,3,4,5]=>[2,1,3,6,4,8,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[6,8,3,7,1,2,4,5]=>[1,3,2,6,4,8,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[6,8,5,7,1,2,3,4]=>[1,2,3,6,5,8,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[7,8,2,4,1,3,5,6]=>[2,1,4,3,7,8,5,6]=>[[1,3,5,6],[2,4,7,8]]=>[2,2,3,1]
[7,8,3,5,1,2,4,6]=>[1,3,2,5,7,8,4,6]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[7,8,2,6,1,3,4,5]=>[2,1,3,4,7,8,6,5]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[7,8,4,6,1,2,3,5]=>[1,2,4,3,7,8,6,5]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[4,3,2,6,1,5,7,8]=>[4,3,2,1,6,5,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[5,3,2,6,1,4,7,8]=>[3,5,2,1,6,4,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[5,4,2,6,1,3,7,8]=>[2,5,4,1,6,3,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[6,3,2,5,1,4,7,8]=>[3,2,6,1,5,4,7,8]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[6,4,2,5,1,3,7,8]=>[2,4,6,1,5,3,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[4,3,2,7,1,5,6,8]=>[4,3,2,1,5,7,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[5,3,2,7,1,4,6,8]=>[3,5,2,1,4,7,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[5,4,3,7,1,2,6,8]=>[1,5,4,3,2,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[6,3,2,7,1,4,5,8]=>[3,2,6,1,4,7,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[6,4,2,7,1,3,5,8]=>[2,4,6,1,3,7,5,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[6,4,3,7,1,2,5,8]=>[1,4,6,3,2,7,5,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[6,5,3,7,1,2,4,8]=>[1,3,6,5,2,7,4,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[7,3,2,5,1,4,6,8]=>[3,2,1,7,5,4,6,8]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[7,4,2,5,1,3,6,8]=>[2,4,1,7,5,3,6,8]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[7,3,2,6,1,4,5,8]=>[3,2,1,7,4,6,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[7,5,3,6,1,2,4,8]=>[1,3,5,7,2,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[7,6,3,5,1,2,4,8]=>[1,3,2,7,6,5,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[4,3,2,8,1,5,6,7]=>[4,3,2,1,5,6,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[5,3,2,8,1,4,6,7]=>[3,5,2,1,4,6,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[6,3,2,8,1,4,5,7]=>[3,2,6,1,4,5,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[6,4,2,8,1,3,5,7]=>[2,4,6,1,3,5,8,7]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[6,5,2,8,1,3,4,7]=>[2,1,6,5,3,4,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[7,4,2,8,1,3,5,6]=>[2,4,1,7,3,5,8,6]=>[[1,3,5,6],[2,4,7,8]]=>[2,2,3,1]
[7,4,3,8,1,2,5,6]=>[1,4,3,7,2,5,8,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[7,5,2,8,1,3,4,6]=>[2,1,5,7,3,4,8,6]=>[[1,3,4,6],[2,5,7,8]]=>[2,3,2,1]
[7,5,3,8,1,2,4,6]=>[1,3,5,7,2,4,8,6]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[7,5,4,8,1,2,3,6]=>[1,2,5,7,4,3,8,6]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[7,6,4,8,1,2,3,5]=>[1,2,4,7,6,3,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[8,3,2,5,1,4,6,7]=>[3,2,1,5,8,4,6,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[8,4,2,5,1,3,6,7]=>[2,4,1,5,8,3,6,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[8,5,2,4,1,3,6,7]=>[2,1,5,4,8,3,6,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[8,4,2,6,1,3,5,7]=>[2,4,1,3,8,6,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[8,6,2,4,1,3,5,7]=>[2,1,4,6,8,3,5,7]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[8,6,3,5,1,2,4,7]=>[1,3,2,6,8,5,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[8,3,2,7,1,4,5,6]=>[3,2,1,4,8,5,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[8,4,2,7,1,3,5,6]=>[2,4,1,3,8,5,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[8,5,2,7,1,3,4,6]=>[2,1,5,3,8,4,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,5,3,7,1,2,4,6]=>[1,3,5,2,8,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,5,4,7,1,2,3,6]=>[1,2,5,4,8,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[8,6,3,7,1,2,4,5]=>[1,3,2,6,8,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[8,6,4,7,1,2,3,5]=>[1,2,4,6,8,3,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[8,7,2,4,1,3,5,6]=>[2,1,4,3,8,7,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[8,7,3,5,1,2,4,6]=>[1,3,2,5,8,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,7,2,6,1,3,4,5]=>[2,1,3,4,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,7,3,6,1,2,4,5]=>[1,3,2,4,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,7,4,6,1,2,3,5]=>[1,2,4,3,8,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[5,6,2,4,8,1,3,7]=>[2,1,5,6,4,3,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[4,7,2,5,8,1,3,6]=>[2,4,1,5,7,3,8,6]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[5,7,2,4,8,1,3,6]=>[2,1,5,4,7,3,8,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[5,7,3,4,8,1,2,6]=>[1,3,5,4,7,2,8,6]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[3,7,2,6,8,1,4,5]=>[3,2,1,4,7,6,8,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[4,7,2,6,8,1,3,5]=>[2,4,1,3,7,6,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[4,7,3,6,8,1,2,5]=>[1,4,3,2,7,6,8,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[5,7,3,6,8,1,2,4]=>[1,3,5,2,7,6,8,4]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[5,7,4,6,8,1,2,3]=>[1,2,5,4,7,6,8,3]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[6,7,2,4,8,1,3,5]=>[2,1,4,6,7,3,8,5]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[6,7,3,4,8,1,2,5]=>[1,3,4,6,7,2,8,5]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[6,7,3,5,8,1,2,4]=>[1,3,2,6,7,5,8,4]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[3,8,2,6,7,1,4,5]=>[3,2,1,4,6,8,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[4,8,2,6,7,1,3,5]=>[2,4,1,3,6,8,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[4,8,3,6,7,1,2,5]=>[1,4,3,2,6,8,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[5,8,2,6,7,1,3,4]=>[2,1,5,3,6,8,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[5,8,4,6,7,1,2,3]=>[1,2,5,4,6,8,7,3]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[6,8,2,5,7,1,3,4]=>[2,1,3,6,5,8,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[6,8,3,5,7,1,2,4]=>[1,3,2,6,5,8,7,4]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[7,8,2,4,6,1,3,5]=>[2,1,4,3,7,8,6,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[7,8,3,4,6,1,2,5]=>[1,3,4,2,7,8,6,5]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[7,8,3,5,6,1,2,4]=>[1,3,2,5,7,8,6,4]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[4,3,2,6,8,1,5,7]=>[4,3,2,1,6,5,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[5,4,2,6,8,1,3,7]=>[2,5,4,1,6,3,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[6,3,2,5,8,1,4,7]=>[3,2,6,1,5,4,8,7]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[6,4,2,5,8,1,3,7]=>[2,4,6,1,5,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,5,2,4,8,1,3,7]=>[2,1,6,5,4,3,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[6,5,3,4,8,1,2,7]=>[1,3,6,5,4,2,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[4,3,2,7,8,1,5,6]=>[4,3,2,1,5,7,8,6]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[5,4,2,7,8,1,3,6]=>[2,5,4,1,3,7,8,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[5,4,3,7,8,1,2,6]=>[1,5,4,3,2,7,8,6]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[6,5,2,7,8,1,3,4]=>[2,1,6,5,3,7,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[7,3,2,5,8,1,4,6]=>[3,2,1,7,5,4,8,6]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[7,4,2,5,8,1,3,6]=>[2,4,1,7,5,3,8,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[7,5,2,4,8,1,3,6]=>[2,1,5,7,4,3,8,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[7,3,2,6,8,1,4,5]=>[3,2,1,7,4,6,8,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[7,5,2,6,8,1,3,4]=>[2,1,5,7,3,6,8,4]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[7,6,2,4,8,1,3,5]=>[2,1,4,7,6,3,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[7,6,3,4,8,1,2,5]=>[1,3,4,7,6,2,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[7,6,3,5,8,1,2,4]=>[1,3,2,7,6,5,8,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[8,4,2,5,7,1,3,6]=>[2,4,1,5,8,3,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[8,5,2,4,7,1,3,6]=>[2,1,5,4,8,3,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[8,5,3,4,7,1,2,6]=>[1,3,5,4,8,2,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[8,3,2,6,7,1,4,5]=>[3,2,1,4,8,6,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[8,4,2,6,7,1,3,5]=>[2,4,1,3,8,6,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[8,5,2,6,7,1,3,4]=>[2,1,5,3,8,6,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[8,6,2,4,7,1,3,5]=>[2,1,4,6,8,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[8,6,2,5,7,1,3,4]=>[2,1,3,6,8,5,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[8,7,2,4,6,1,3,5]=>[2,1,4,3,8,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[8,7,3,4,6,1,2,5]=>[1,3,4,2,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,7,3,5,6,1,2,4]=>[1,3,2,5,8,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[4,3,7,2,6,1,5,8]=>[4,3,2,1,7,6,5,8]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[6,4,7,2,5,1,3,8]=>[2,4,6,1,7,5,3,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[6,4,7,3,5,1,2,8]=>[1,4,6,3,7,5,2,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[7,3,6,2,5,1,4,8]=>[3,2,1,7,6,5,4,8]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[4,3,8,2,6,1,5,7]=>[4,3,2,1,6,8,5,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[5,3,8,2,6,1,4,7]=>[3,5,2,1,6,8,4,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[5,4,8,2,6,1,3,7]=>[2,5,4,1,6,8,3,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[5,4,8,3,6,1,2,7]=>[1,5,4,3,6,8,2,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[6,3,8,2,5,1,4,7]=>[3,2,6,1,5,8,4,7]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[6,4,8,2,5,1,3,7]=>[2,4,6,1,5,8,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,5,8,2,4,1,3,7]=>[2,1,6,5,4,8,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[4,3,8,2,7,1,5,6]=>[4,3,2,1,5,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[5,4,8,2,7,1,3,6]=>[2,5,4,1,3,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[5,4,8,3,7,1,2,6]=>[1,5,4,3,2,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[6,4,8,2,7,1,3,5]=>[2,4,6,1,3,8,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[6,4,8,3,7,1,2,5]=>[1,4,6,3,2,8,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[6,5,8,2,7,1,3,4]=>[2,1,6,5,3,8,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[7,3,8,2,5,1,4,6]=>[3,2,1,7,5,8,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[7,4,8,2,5,1,3,6]=>[2,4,1,7,5,8,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[7,4,8,3,5,1,2,6]=>[1,4,3,7,5,8,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[7,5,8,2,4,1,3,6]=>[2,1,5,7,4,8,3,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[7,5,8,3,4,1,2,6]=>[1,3,5,7,4,8,2,6]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[7,4,8,2,6,1,3,5]=>[2,4,1,7,3,8,6,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[7,4,8,3,6,1,2,5]=>[1,4,3,7,2,8,6,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[7,5,8,2,6,1,3,4]=>[2,1,5,7,3,8,6,4]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[7,5,8,4,6,1,2,3]=>[1,2,5,7,4,8,6,3]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[7,6,8,3,5,1,2,4]=>[1,3,2,7,6,8,5,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[8,3,6,2,5,1,4,7]=>[3,2,1,6,8,5,4,7]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[8,4,6,2,5,1,3,7]=>[2,4,1,6,8,5,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[8,4,6,3,5,1,2,7]=>[1,4,3,6,8,5,2,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[8,5,6,2,4,1,3,7]=>[2,1,5,6,8,4,3,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[8,5,7,2,4,1,3,6]=>[2,1,5,4,8,7,3,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[8,4,7,2,6,1,3,5]=>[2,4,1,3,8,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[8,4,7,3,6,1,2,5]=>[1,4,3,2,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[8,5,7,2,6,1,3,4]=>[2,1,5,3,8,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[8,6,7,2,4,1,3,5]=>[2,1,4,6,8,7,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[8,6,7,2,5,1,3,4]=>[2,1,3,6,8,7,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[8,6,7,3,5,1,2,4]=>[1,3,2,6,8,7,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[5,4,3,2,7,1,6,8]=>[5,4,3,2,1,7,6,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[6,4,3,2,7,1,5,8]=>[4,6,3,2,1,7,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[7,5,3,2,6,1,4,8]=>[3,5,7,2,1,6,4,8]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[7,5,4,2,6,1,3,8]=>[2,5,7,4,1,6,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[7,6,3,2,5,1,4,8]=>[3,2,7,6,1,5,4,8]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[7,6,5,2,4,1,3,8]=>[2,1,7,6,5,4,3,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[5,4,3,2,8,1,6,7]=>[5,4,3,2,1,6,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[6,5,4,2,8,1,3,7]=>[2,6,5,4,1,3,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[6,5,4,3,8,1,2,7]=>[1,6,5,4,3,2,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[7,5,3,2,8,1,4,6]=>[3,5,7,2,1,4,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[7,6,5,2,8,1,3,4]=>[2,1,7,6,5,3,8,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[8,5,3,2,6,1,4,7]=>[3,5,2,8,1,6,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[8,6,4,2,5,1,3,7]=>[2,4,6,8,1,5,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[8,6,5,2,4,1,3,7]=>[2,1,6,8,5,4,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[8,5,4,2,7,1,3,6]=>[2,5,4,8,1,3,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[8,6,4,2,7,1,3,5]=>[2,4,6,8,1,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[8,6,5,2,7,1,3,4]=>[2,1,6,8,5,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[8,6,5,3,7,1,2,4]=>[1,3,6,8,5,2,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[8,7,3,2,6,1,4,5]=>[3,2,1,8,7,4,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[8,7,4,2,6,1,3,5]=>[2,4,1,8,7,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[8,7,4,3,6,1,2,5]=>[1,4,3,8,7,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[8,7,5,2,6,1,3,4]=>[2,1,5,8,7,3,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[8,7,5,3,6,1,2,4]=>[1,3,5,8,7,2,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[8,7,6,2,4,1,3,5]=>[2,1,4,8,7,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[8,7,6,2,5,1,3,4]=>[2,1,3,8,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[8,7,6,3,5,1,2,4]=>[1,3,2,8,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[4,8,3,7,2,6,1,5]=>[4,3,2,1,8,7,6,5]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[5,8,3,7,2,6,1,4]=>[3,5,2,1,8,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[5,8,4,7,2,6,1,3]=>[2,5,4,1,8,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[5,8,4,7,3,6,1,2]=>[1,5,4,3,8,7,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[6,8,4,7,2,5,1,3]=>[2,4,6,1,8,7,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[6,8,4,7,3,5,1,2]=>[1,4,6,3,8,7,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[6,8,5,7,2,4,1,3]=>[2,1,6,5,8,7,4,3]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[7,8,3,6,2,5,1,4]=>[3,2,1,7,8,6,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[7,8,4,6,2,5,1,3]=>[2,4,1,7,8,6,5,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[7,8,4,6,3,5,1,2]=>[1,4,3,7,8,6,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[7,8,5,6,2,4,1,3]=>[2,1,5,7,8,6,4,3]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[5,4,3,8,2,7,1,6]=>[5,4,3,2,1,8,7,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[6,4,3,8,2,7,1,5]=>[4,6,3,2,1,8,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[6,5,3,8,2,7,1,4]=>[3,6,5,2,1,8,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[6,5,4,8,3,7,1,2]=>[1,6,5,4,3,8,7,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[7,4,3,8,2,6,1,5]=>[4,3,7,2,1,8,6,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[7,5,3,8,2,6,1,4]=>[3,5,7,2,1,8,6,4]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[7,5,4,8,2,6,1,3]=>[2,5,7,4,1,8,6,3]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[7,5,4,8,3,6,1,2]=>[1,5,7,4,3,8,6,2]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[7,6,3,8,2,5,1,4]=>[3,2,7,6,1,8,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[7,6,5,8,2,4,1,3]=>[2,1,7,6,5,8,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[8,4,3,7,2,6,1,5]=>[4,3,2,8,1,7,6,5]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[8,5,3,7,2,6,1,4]=>[3,5,2,8,1,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[8,5,4,7,2,6,1,3]=>[2,5,4,8,1,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[8,5,4,7,3,6,1,2]=>[1,5,4,8,3,7,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[8,6,4,7,2,5,1,3]=>[2,4,6,8,1,7,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[8,6,4,7,3,5,1,2]=>[1,4,6,8,3,7,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[8,6,5,7,2,4,1,3]=>[2,1,6,8,5,7,4,3]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[8,7,3,6,2,5,1,4]=>[3,2,1,8,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[8,7,4,6,2,5,1,3]=>[2,4,1,8,7,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[8,7,4,6,3,5,1,2]=>[1,4,3,8,7,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[8,7,5,6,2,4,1,3]=>[2,1,5,8,7,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[6,5,4,3,2,8,1,7]=>[6,5,4,3,2,1,8,7]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[8,5,4,3,2,7,1,6]=>[5,4,8,3,2,1,7,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[8,6,5,3,2,7,1,4]=>[3,6,8,5,2,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[8,7,4,3,2,6,1,5]=>[4,3,8,7,2,1,6,5]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[8,7,5,4,2,6,1,3]=>[2,5,8,7,4,1,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[8,7,6,3,2,5,1,4]=>[3,2,8,7,6,1,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[8,7,6,4,2,5,1,3]=>[2,4,8,7,6,1,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[8,7,6,5,2,4,1,3]=>[2,1,8,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[8,1,2,3,4,7,5,6]=>[1,8,2,3,4,5,7,6]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[8,1,2,3,6,4,5,7]=>[1,2,8,3,4,6,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[8,1,2,3,7,4,5,6]=>[1,2,8,3,4,5,7,6]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[7,1,2,3,6,4,8,5]=>[7,6,1,2,3,8,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[5,1,2,3,8,7,4,6]=>[5,8,1,2,3,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,1,2,3,6,7,4,5]=>[1,6,2,3,4,8,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[4,1,2,8,3,7,5,6]=>[4,8,1,2,3,7,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[8,1,2,5,3,4,6,7]=>[1,2,3,8,5,4,6,7]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[8,1,2,6,3,4,5,7]=>[1,2,3,8,4,6,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[7,1,2,6,3,4,8,5]=>[7,1,6,2,3,8,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[6,1,2,5,3,8,4,7]=>[6,5,1,2,3,8,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[8,1,2,5,3,7,4,6]=>[1,8,5,2,3,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,1,2,6,3,7,4,5]=>[1,8,2,6,3,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[6,1,2,5,3,7,8,4]=>[6,5,1,2,7,3,8,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[4,1,2,8,7,3,5,6]=>[4,1,8,2,3,7,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[4,1,2,7,6,3,8,5]=>[7,6,4,1,8,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[8,1,2,5,6,3,4,7]=>[1,5,2,3,6,8,4,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[8,1,2,5,7,3,4,6]=>[1,5,2,3,4,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,1,2,7,6,3,4,5]=>[1,2,8,7,3,4,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[7,1,2,5,6,3,8,4]=>[5,7,1,2,6,8,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[4,1,2,5,8,7,3,6]=>[4,8,1,5,2,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[8,1,2,5,6,7,3,4]=>[1,5,2,3,6,8,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[3,1,8,2,6,4,5,7]=>[3,1,8,2,6,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[3,1,8,2,7,4,5,6]=>[3,1,8,2,4,7,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[3,1,7,2,6,4,8,5]=>[7,6,3,1,8,2,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[3,1,5,2,8,7,4,6]=>[5,8,3,1,7,2,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[8,1,4,2,3,5,6,7]=>[1,2,4,3,8,5,6,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[6,1,4,2,3,8,5,7]=>[6,1,2,8,4,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[6,1,4,2,3,7,8,5]=>[6,1,7,2,4,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[8,1,5,2,3,4,6,7]=>[1,2,3,5,8,4,6,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[7,1,5,2,3,4,8,6]=>[7,1,2,8,3,5,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[8,1,7,2,3,4,5,6]=>[1,2,3,4,8,5,7,6]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[6,1,5,2,3,8,4,7]=>[6,1,5,2,3,8,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[8,1,5,2,3,7,4,6]=>[1,8,2,5,3,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[6,1,8,2,3,7,4,5]=>[1,6,2,8,3,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[6,1,5,2,3,7,8,4]=>[6,1,5,2,7,3,8,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[5,1,4,2,8,3,6,7]=>[5,4,1,2,3,8,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[5,1,4,2,7,3,8,6]=>[7,5,4,1,8,2,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[8,1,4,2,6,3,5,7]=>[1,4,8,2,6,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[7,1,4,2,6,3,8,5]=>[7,6,1,4,8,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[8,1,5,2,6,3,4,7]=>[1,2,8,5,6,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[8,1,5,2,7,3,4,6]=>[1,2,8,5,3,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[7,1,8,2,6,3,4,5]=>[1,2,7,3,8,6,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[7,1,5,2,6,3,8,4]=>[7,5,1,6,8,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[5,1,4,2,6,8,3,7]=>[5,4,1,6,2,3,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[5,1,4,2,8,7,3,6]=>[5,8,4,1,2,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[8,1,4,2,6,7,3,5]=>[4,1,2,8,6,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[8,1,5,2,6,7,3,4]=>[1,5,2,8,6,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[5,1,4,2,6,7,8,3]=>[5,4,1,6,2,7,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[3,1,4,8,2,7,5,6]=>[3,8,4,1,2,5,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[3,1,8,5,2,4,6,7]=>[3,1,5,8,2,4,6,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[3,1,7,5,2,4,8,6]=>[7,3,8,1,5,2,4,6]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[3,1,8,6,2,4,5,7]=>[3,1,2,8,6,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[3,1,7,6,2,4,8,5]=>[7,3,6,1,8,2,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[3,1,6,5,2,8,4,7]=>[6,5,3,1,8,2,4,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[3,1,8,5,2,7,4,6]=>[3,8,5,1,7,2,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[3,1,8,6,2,7,4,5]=>[3,8,1,6,7,2,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[3,1,6,5,2,7,8,4]=>[6,5,3,7,1,2,8,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[8,1,4,5,2,3,6,7]=>[1,4,2,5,3,8,6,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[7,1,4,5,2,3,8,6]=>[7,1,4,2,8,5,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[7,1,4,8,2,3,5,6]=>[1,2,4,7,3,5,8,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[8,1,6,5,2,3,4,7]=>[1,2,6,8,3,5,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[7,1,8,5,2,3,4,6]=>[1,2,5,7,8,3,4,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[7,1,8,6,2,3,4,5]=>[1,2,3,7,8,6,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[8,1,4,5,2,7,3,6]=>[4,5,1,2,8,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[8,1,6,5,2,7,3,4]=>[1,6,8,5,2,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[6,1,4,5,2,7,8,3]=>[4,6,1,5,7,2,8,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[3,1,4,8,7,2,5,6]=>[3,4,8,1,2,5,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[3,1,7,5,6,2,8,4]=>[7,3,5,6,1,8,2,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[8,1,4,5,6,2,3,7]=>[1,4,2,5,6,8,3,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[8,1,4,5,7,2,3,6]=>[1,4,2,5,3,8,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[8,1,4,7,6,2,3,5]=>[1,4,8,2,3,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,1,7,5,6,2,3,4]=>[1,2,8,3,5,7,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[7,1,4,5,6,2,8,3]=>[4,5,1,7,6,8,2,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[3,1,4,5,8,7,2,6]=>[3,8,4,1,5,2,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[3,1,4,8,6,7,2,5]=>[3,4,8,1,2,6,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[3,1,8,5,6,7,2,4]=>[3,1,8,2,5,6,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[8,1,4,5,6,7,2,3]=>[1,4,2,5,6,8,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[2,8,1,3,4,7,5,6]=>[2,8,1,3,4,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[2,4,1,8,3,7,5,6]=>[4,8,2,1,3,7,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[2,8,1,5,3,4,6,7]=>[2,1,3,8,5,4,6,7]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[2,8,1,6,3,4,5,7]=>[2,1,3,8,4,6,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[2,6,1,5,3,8,4,7]=>[6,5,2,1,3,8,4,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[2,8,1,5,3,7,4,6]=>[2,8,5,1,3,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[2,6,1,5,3,7,8,4]=>[6,5,2,1,7,3,8,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[2,4,1,8,7,3,5,6]=>[4,2,8,1,3,7,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[2,8,1,5,6,3,4,7]=>[2,5,1,3,6,8,4,7]=>[[1,3,4,7],[2,5,6,8]]=>[2,3,3]
[2,8,1,7,6,3,4,5]=>[2,1,8,7,3,4,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[2,7,1,5,6,3,8,4]=>[5,7,2,1,6,8,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[2,4,1,5,8,7,3,6]=>[4,8,2,5,1,3,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[2,4,1,8,6,7,3,5]=>[2,8,4,1,6,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[2,8,1,5,6,7,3,4]=>[2,5,1,3,6,8,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[7,3,1,2,4,5,8,6]=>[7,1,3,2,8,4,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[8,3,1,2,4,7,5,6]=>[1,8,3,2,4,7,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[8,3,1,2,6,4,5,7]=>[1,3,8,2,6,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[8,3,1,2,7,4,5,6]=>[1,3,8,2,4,7,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[7,3,1,2,6,4,8,5]=>[7,6,1,3,8,2,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[5,3,1,2,6,8,4,7]=>[5,1,6,3,2,4,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[5,3,1,2,8,7,4,6]=>[5,8,1,3,7,2,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[7,4,1,2,3,5,8,6]=>[7,1,2,4,8,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[6,4,1,2,3,8,5,7]=>[6,1,2,4,8,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[8,4,1,2,3,7,5,6]=>[1,8,2,4,3,7,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[6,4,1,2,3,7,8,5]=>[6,1,2,7,4,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[7,6,1,2,3,4,8,5]=>[7,1,2,3,6,8,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[5,8,1,2,3,7,4,6]=>[5,1,2,3,8,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,6,1,2,3,7,4,5]=>[1,6,2,3,8,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[5,4,1,2,8,3,6,7]=>[5,1,4,2,3,8,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[5,4,1,2,7,3,8,6]=>[7,5,1,4,8,2,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[8,4,1,2,7,3,5,6]=>[4,1,2,3,8,7,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[7,4,1,2,6,3,8,5]=>[7,4,1,6,8,2,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[5,8,1,2,7,3,4,6]=>[1,5,2,3,8,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,7,1,2,6,3,4,5]=>[1,2,8,3,4,7,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[5,7,1,2,6,3,8,4]=>[5,7,1,6,2,8,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[5,4,1,2,8,7,3,6]=>[5,8,1,4,2,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[8,4,1,2,6,7,3,5]=>[4,1,2,8,3,6,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[5,8,1,2,6,7,3,4]=>[1,5,2,6,3,8,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[5,4,1,2,6,7,8,3]=>[5,1,4,6,2,7,8,3]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[4,3,1,6,2,8,5,7]=>[6,4,3,1,8,2,5,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[4,3,1,6,2,7,8,5]=>[6,4,3,7,1,2,8,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[8,3,1,5,2,4,6,7]=>[3,1,5,2,8,4,6,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[8,3,1,6,2,4,5,7]=>[3,1,2,6,8,4,5,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[7,3,1,8,2,4,5,6]=>[3,1,2,7,4,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[7,3,1,6,2,4,8,5]=>[7,3,1,6,8,2,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[6,3,1,5,2,8,4,7]=>[6,3,5,1,8,2,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[8,3,1,5,2,7,4,6]=>[5,3,1,8,7,2,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[8,3,1,6,2,7,4,5]=>[3,6,1,8,7,2,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[6,3,1,5,2,7,8,4]=>[6,3,5,7,1,2,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[8,4,1,5,2,3,6,7]=>[1,4,5,2,8,3,6,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[7,4,1,5,2,3,8,6]=>[7,1,4,8,5,2,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[8,4,1,6,2,3,5,7]=>[1,4,2,6,8,3,5,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[7,4,1,8,2,3,5,6]=>[1,4,2,7,3,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[7,4,1,6,2,3,8,5]=>[7,1,4,6,8,2,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[8,7,1,5,2,3,4,6]=>[1,2,3,8,5,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,7,1,6,2,3,4,5]=>[1,2,3,8,4,7,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[6,7,1,5,2,3,8,4]=>[6,1,7,2,5,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[8,4,1,5,2,7,3,6]=>[4,5,1,8,7,2,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[8,4,1,6,2,7,3,5]=>[4,1,6,8,7,2,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[6,8,1,5,2,7,3,4]=>[1,6,5,2,8,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[6,4,1,5,2,7,8,3]=>[4,6,5,7,1,2,8,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[4,3,1,8,6,2,5,7]=>[4,3,8,1,6,2,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[4,3,1,8,7,2,5,6]=>[4,3,8,1,2,7,5,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[4,3,1,7,6,2,8,5]=>[7,6,4,3,8,1,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[8,3,1,5,6,2,4,7]=>[3,1,2,8,5,6,4,7]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[8,3,1,5,7,2,4,6]=>[3,1,2,8,5,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,3,1,7,6,2,4,5]=>[3,1,8,2,7,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[7,3,1,5,6,2,8,4]=>[7,3,5,1,6,8,2,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[8,4,1,5,6,2,3,7]=>[1,4,2,8,5,6,3,7]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[8,4,1,5,7,2,3,6]=>[1,4,2,8,5,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[8,4,1,7,6,2,3,5]=>[1,4,8,2,7,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[7,8,1,5,6,2,3,4]=>[1,2,5,3,7,8,6,4]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[7,4,1,5,6,2,8,3]=>[4,7,5,1,6,8,2,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[4,3,1,5,6,8,2,7]=>[4,3,5,1,6,2,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[4,3,1,5,8,7,2,6]=>[4,8,3,5,1,2,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[4,3,1,8,6,7,2,5]=>[4,3,8,1,6,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[8,3,1,5,6,7,2,4]=>[3,1,5,2,8,6,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[8,4,1,5,6,7,2,3]=>[1,4,5,2,8,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[4,3,1,5,6,7,8,2]=>[4,3,5,1,6,7,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[2,3,8,1,4,7,5,6]=>[2,8,3,1,4,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[2,3,8,1,6,4,5,7]=>[2,3,8,1,4,6,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[2,3,8,1,7,4,5,6]=>[2,3,8,1,4,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[2,3,7,1,6,4,8,5]=>[7,6,2,3,1,8,4,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[2,3,8,1,6,7,4,5]=>[2,6,3,1,4,8,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[2,8,4,1,3,5,6,7]=>[2,1,4,3,8,5,6,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[2,7,4,1,3,5,8,6]=>[7,2,1,8,4,3,5,6]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[2,8,4,1,3,7,5,6]=>[2,8,1,4,7,3,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[2,6,4,1,3,7,8,5]=>[6,2,7,1,4,3,8,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[2,8,5,1,3,4,6,7]=>[2,1,3,5,8,4,6,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[2,8,7,1,3,4,5,6]=>[2,1,3,4,8,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[2,8,5,1,3,7,4,6]=>[2,8,1,5,3,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[2,6,8,1,3,7,4,5]=>[2,6,1,3,8,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[2,6,5,1,3,7,8,4]=>[6,2,5,1,7,3,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[2,5,4,1,7,3,8,6]=>[7,5,4,2,8,1,3,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[2,8,4,1,6,3,5,7]=>[2,4,8,1,6,3,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[2,8,4,1,7,3,5,6]=>[2,4,8,1,3,7,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[2,7,4,1,6,3,8,5]=>[7,6,2,4,8,1,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[2,8,5,1,7,3,4,6]=>[2,1,8,5,3,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[2,7,8,1,6,3,4,5]=>[2,1,7,3,4,8,6,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[2,7,5,1,6,3,8,4]=>[7,5,2,6,8,1,3,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[2,5,4,1,6,8,3,7]=>[5,4,2,6,1,3,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[2,5,4,1,8,7,3,6]=>[5,8,4,2,1,7,3,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[2,8,4,1,6,7,3,5]=>[4,2,1,8,6,3,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[2,8,5,1,6,7,3,4]=>[2,5,1,8,6,3,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[2,5,4,1,6,7,8,3]=>[5,4,2,6,1,7,8,3]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[7,3,4,1,2,5,8,6]=>[7,1,3,4,8,2,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[6,3,4,1,2,8,5,7]=>[6,1,3,4,8,2,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[8,3,4,1,2,7,5,6]=>[1,8,3,4,2,7,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[6,3,4,1,2,7,8,5]=>[6,1,3,7,4,2,8,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[7,3,5,1,2,4,8,6]=>[7,1,3,2,8,5,4,6]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[6,3,7,1,2,4,8,5]=>[6,1,3,7,2,8,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[6,3,5,1,2,8,4,7]=>[6,1,3,5,2,8,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[8,3,5,1,2,7,4,6]=>[5,1,3,2,8,7,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[6,3,8,1,2,7,4,5]=>[1,6,3,8,2,4,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[6,3,5,1,2,7,8,4]=>[6,1,3,5,7,2,8,4]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[6,7,4,1,2,3,8,5]=>[6,1,2,7,8,4,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[6,8,5,1,2,3,4,7]=>[1,2,3,6,5,8,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[6,7,5,1,2,3,8,4]=>[6,1,2,7,5,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[8,5,4,1,2,7,3,6]=>[5,1,4,8,2,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[6,8,4,1,2,7,3,5]=>[1,6,4,2,8,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[6,8,5,1,2,7,3,4]=>[1,6,2,5,8,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[6,5,4,1,2,7,8,3]=>[6,1,5,4,7,2,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[5,3,4,1,8,2,6,7]=>[3,5,4,1,2,8,6,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[5,3,4,1,7,2,8,6]=>[7,3,5,4,8,1,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[8,3,4,1,6,2,5,7]=>[3,4,1,6,8,2,5,7]=>[[1,2,5,7],[3,4,6,8]]=>[3,3,2]
[8,3,4,1,7,2,5,6]=>[3,4,1,2,8,7,5,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[7,3,4,1,6,2,8,5]=>[7,3,4,6,8,1,2,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[8,3,5,1,6,2,4,7]=>[3,1,5,6,8,2,4,7]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[8,3,5,1,7,2,4,6]=>[3,1,5,2,8,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[7,3,8,1,6,2,4,5]=>[3,1,2,7,8,4,6,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[7,3,5,1,6,2,8,4]=>[5,3,7,6,8,1,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[8,5,4,1,6,2,3,7]=>[1,5,4,8,6,2,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[8,5,4,1,7,2,3,6]=>[1,5,4,8,2,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[7,8,4,1,6,2,3,5]=>[1,4,2,7,8,6,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[7,8,5,1,6,2,3,4]=>[1,2,5,7,8,6,3,4]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[7,5,4,1,6,2,8,3]=>[5,7,4,6,8,1,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[5,3,4,1,6,8,2,7]=>[3,5,4,6,1,2,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[5,3,4,1,8,7,2,6]=>[3,8,5,4,1,7,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[8,3,4,1,6,7,2,5]=>[3,4,1,8,2,6,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[8,3,5,1,6,7,2,4]=>[3,1,5,8,2,6,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[8,5,4,1,6,7,2,3]=>[1,5,4,8,6,2,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[5,3,4,1,6,7,8,2]=>[3,5,4,6,1,7,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[2,3,4,8,1,7,5,6]=>[2,8,3,4,1,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[2,3,8,5,1,4,6,7]=>[2,3,1,8,5,4,6,7]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[2,3,8,6,1,4,5,7]=>[2,3,1,8,4,6,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[2,3,7,6,1,4,8,5]=>[7,2,6,3,1,8,4,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[2,3,8,5,1,7,4,6]=>[2,8,5,3,1,7,4,6]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[2,3,8,6,1,7,4,5]=>[2,8,3,6,1,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[2,3,6,5,1,7,8,4]=>[6,5,2,3,7,1,8,4]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[2,8,4,5,1,3,6,7]=>[2,1,4,5,8,3,6,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[2,7,4,5,1,3,8,6]=>[7,2,1,8,4,5,3,6]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[2,8,4,6,1,3,5,7]=>[2,1,4,3,8,6,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[2,7,4,8,1,3,5,6]=>[2,1,4,7,3,5,8,6]=>[[1,3,5,6],[2,4,7,8]]=>[2,2,3,1]
[2,7,4,6,1,3,8,5]=>[7,2,1,6,4,8,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[2,7,8,5,1,3,4,6]=>[2,1,3,7,5,8,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[2,7,8,6,1,3,4,5]=>[2,1,3,7,4,8,6,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[2,7,6,5,1,3,8,4]=>[7,2,6,5,1,8,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[2,6,4,5,1,8,3,7]=>[6,2,4,5,1,8,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[2,8,4,5,1,7,3,6]=>[4,2,5,8,1,7,3,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[2,8,4,6,1,7,3,5]=>[4,2,1,8,6,7,3,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[2,8,6,5,1,7,3,4]=>[2,6,8,5,1,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[2,6,4,5,1,7,8,3]=>[6,2,4,5,7,1,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[7,3,4,6,1,2,8,5]=>[7,1,3,4,6,8,2,5]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[8,3,6,5,1,2,4,7]=>[1,3,2,8,6,5,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[7,3,8,5,1,2,4,6]=>[1,3,2,7,8,5,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[7,3,8,6,1,2,4,5]=>[1,3,2,7,8,4,6,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[7,3,6,5,1,2,8,4]=>[7,1,6,3,5,8,2,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[7,6,4,5,1,2,8,3]=>[4,1,7,6,5,8,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[6,3,4,5,1,8,2,7]=>[3,4,6,5,1,8,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[8,3,4,5,1,7,2,6]=>[3,4,5,1,8,7,2,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[8,3,4,6,1,7,2,5]=>[3,4,1,6,8,7,2,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[8,3,6,5,1,7,2,4]=>[3,1,8,6,5,7,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[8,6,4,5,1,7,2,3]=>[1,4,6,8,5,7,2,3]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[6,3,4,5,1,7,8,2]=>[3,4,6,5,7,1,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[2,3,4,8,6,1,5,7]=>[2,3,8,4,1,6,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[2,3,4,8,7,1,5,6]=>[2,3,8,4,1,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[2,3,4,7,6,1,8,5]=>[7,6,2,3,4,8,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[2,3,8,5,6,1,4,7]=>[2,3,1,8,5,6,4,7]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[2,3,8,5,7,1,4,6]=>[2,3,1,8,5,4,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[2,3,8,7,6,1,4,5]=>[2,3,8,7,1,4,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[2,3,7,5,6,1,8,4]=>[7,2,5,3,6,8,1,4]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[2,8,4,5,6,1,3,7]=>[2,1,4,5,8,6,3,7]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[2,8,4,5,7,1,3,6]=>[2,1,4,5,8,3,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[2,8,4,7,6,1,3,5]=>[2,1,8,4,7,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[2,8,7,5,6,1,3,4]=>[2,1,3,8,7,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[2,7,4,5,6,1,8,3]=>[4,2,7,5,6,8,1,3]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[8,3,4,5,7,1,2,6]=>[1,3,4,5,2,8,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[8,3,4,7,6,1,2,5]=>[1,3,8,4,2,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,3,7,5,6,1,2,4]=>[1,3,2,8,5,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,3,4,5,6,1,8,2]=>[3,4,5,7,6,8,1,2]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[2,3,4,5,8,7,1,6]=>[2,8,3,4,5,1,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[2,3,4,8,6,7,1,5]=>[2,3,8,4,1,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[2,3,8,5,6,7,1,4]=>[2,3,1,8,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[2,8,4,5,6,7,1,3]=>[2,1,4,5,8,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,8]=>[[1,2,3,4,5,6,7,8],[9]]=>[9]
[8,1,2,3,4,5,6,9,7]=>[8,1,2,3,4,5,9,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[9,1,2,3,4,5,8,6,7]=>[1,9,2,3,4,5,6,8,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9]
[7,1,2,3,4,5,8,9,6]=>[7,1,2,3,4,8,5,9,6]=>[[1,2,3,4,5,6],[7,8,9]]=>[7,2]
[9,1,2,3,4,8,5,6,7]=>[1,2,9,3,4,5,6,8,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9]
[9,1,2,3,4,7,8,5,6]=>[1,7,2,3,4,5,9,8,6]=>[[1,2,3,4,5,6],[7,8],[9]]=>[7,2]
[6,1,2,3,4,7,8,9,5]=>[6,1,2,3,7,4,8,9,5]=>[[1,2,3,4,5,9],[6,7,8]]=>[6,3]
[8,1,2,3,9,4,5,6,7]=>[1,2,3,8,4,5,9,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[9,1,2,8,3,4,5,6,7]=>[1,2,3,4,9,5,6,8,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9]
[9,1,8,2,3,4,5,6,7]=>[1,2,3,4,5,9,6,8,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9]
[7,1,8,9,2,3,4,5,6]=>[1,2,3,4,7,8,5,9,6]=>[[1,2,3,4,5,6,9],[7,8]]=>[7,2]
[3,1,4,5,6,7,8,9,2]=>[3,4,1,5,6,7,8,9,2]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[2,9,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,9,8]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,7]
[8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,9,7]=>[[1,2,3,4,5,6,7,9],[8]]=>[8,1]
[2,3,9,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,9,8]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,7]
[2,3,4,5,9,1,6,7,8]=>[2,3,4,5,1,6,7,9,8]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,7]
[2,3,4,5,6,8,1,9,7]=>[8,2,3,4,5,6,9,1,7]=>[[1,3,4,5,6,7],[2,9],[8]]=>[2,6,1]
[2,3,4,5,6,7,9,1,8]=>[2,3,4,5,6,7,1,9,8]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,7]
[2,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,8,9,1]=>[[1,3,4,5,6,7,8,9],[2]]=>[2,7]
[]=>[]=>[]=>[]
[3,5,2,6,1,4,8,7]=>[8,3,2,5,1,6,4,7]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[3,5,2,6,4,1,8,7]=>[8,5,3,6,2,4,1,7]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[3,5,2,7,4,8,1,6]=>[5,3,2,7,4,1,8,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[3,5,2,7,4,8,6,1]=>[7,5,3,8,2,4,6,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[4,5,7,2,3,8,6,1]=>[7,2,4,5,8,3,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[4,5,7,2,3,8,1,6]=>[2,4,5,3,7,1,8,6]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[4,5,6,2,3,1,8,7]=>[8,2,4,5,6,3,1,7]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[4,5,6,2,1,3,8,7]=>[8,2,4,5,6,1,3,7]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[3,5,1,6,4,2,8,7]=>[8,5,3,6,4,1,2,7]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[4,5,6,1,3,2,8,7]=>[8,4,1,5,6,3,2,7]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[4,5,6,3,1,2,8,7]=>[8,1,4,5,6,3,2,7]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[4,5,7,3,2,8,1,6]=>[4,5,3,7,2,1,8,6]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[4,5,7,3,2,8,6,1]=>[7,4,5,8,3,2,6,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[4,6,7,3,8,2,5,1]=>[4,3,6,7,2,8,5,1]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[4,6,7,3,8,2,1,5]=>[4,3,6,7,2,8,1,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[4,6,7,3,8,1,2,5]=>[1,4,3,6,7,2,8,5]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[4,5,7,3,1,8,2,6]=>[4,5,3,7,1,8,2,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[4,5,7,1,3,8,2,6]=>[4,1,5,3,7,2,8,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[3,5,1,7,4,8,2,6]=>[5,3,4,7,1,2,8,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[2,1,5,7,4,8,3,6]=>[5,2,7,1,4,3,8,6]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[2,1,5,7,4,8,6,3]=>[7,5,8,2,1,4,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[3,5,1,7,4,8,6,2]=>[7,5,3,8,4,1,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[4,5,7,1,3,8,6,2]=>[7,4,1,5,8,3,6,2]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[4,5,7,3,1,8,6,2]=>[7,4,5,8,3,6,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[4,6,7,3,8,1,5,2]=>[4,3,6,7,8,1,5,2]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[4,6,7,3,8,5,1,2]=>[1,6,4,7,8,3,5,2]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[4,6,7,3,8,5,2,1]=>[6,4,7,8,3,5,2,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[5,6,7,8,3,1,4,2]=>[3,5,6,7,8,4,1,2]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[5,6,7,8,1,3,4,2]=>[3,1,5,6,7,8,4,2]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[4,6,7,1,8,3,5,2]=>[4,6,1,7,8,3,5,2]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[3,6,1,7,8,4,5,2]=>[3,6,7,1,4,8,5,2]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[2,1,6,7,8,4,5,3]=>[6,2,4,1,7,8,5,3]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[2,1,6,7,8,4,3,5]=>[2,6,7,1,4,8,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[3,6,1,7,8,4,2,5]=>[3,6,1,7,8,4,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[4,6,7,1,8,3,2,5]=>[4,3,6,7,8,1,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[5,6,7,8,1,3,2,4]=>[1,5,3,6,7,8,2,4]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[4,5,7,2,1,8,3,6]=>[4,5,2,7,8,1,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[4,6,7,2,8,1,3,5]=>[2,4,1,6,7,3,8,5]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[4,6,7,2,8,3,1,5]=>[4,2,6,7,8,3,1,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[4,6,7,2,8,3,5,1]=>[4,2,6,7,8,3,5,1]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[3,6,2,7,8,4,5,1]=>[3,6,2,7,4,8,5,1]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[3,6,2,7,8,4,1,5]=>[3,6,2,7,4,8,1,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[3,6,2,7,8,1,4,5]=>[3,2,1,6,4,7,8,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[3,5,2,7,1,8,4,6]=>[5,3,2,7,1,8,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[3,4,2,1,7,8,5,6]=>[3,7,4,2,1,5,8,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[3,4,1,2,7,8,6,5]=>[7,8,1,3,4,2,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[3,5,2,7,1,8,6,4]=>[7,5,3,8,2,6,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,6,2,7,8,1,5,4]=>[6,3,2,7,1,8,5,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[3,6,2,7,8,5,1,4]=>[3,6,2,7,1,8,5,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[3,6,2,7,8,5,4,1]=>[6,7,3,8,2,5,4,1]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[4,6,7,2,8,5,3,1]=>[6,4,7,8,5,2,3,1]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[4,6,7,2,8,5,1,3]=>[2,6,4,7,8,1,5,3]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[4,6,7,2,8,1,5,3]=>[4,6,2,7,8,1,5,3]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[4,5,7,2,1,8,6,3]=>[7,4,5,8,6,2,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[4,5,7,1,2,8,6,3]=>[7,4,1,5,8,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[3,5,1,7,2,8,6,4]=>[7,5,3,8,6,1,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[2,1,5,7,3,8,6,4]=>[7,5,8,2,1,6,3,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[2,1,6,7,8,3,5,4]=>[6,2,7,1,3,8,5,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[3,6,1,7,8,2,5,4]=>[6,3,1,7,8,2,5,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[4,6,7,1,8,2,5,3]=>[4,6,1,7,8,5,2,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[5,6,7,8,1,2,4,3]=>[5,1,2,6,7,8,4,3]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[5,6,7,8,2,1,4,3]=>[5,2,6,7,8,4,1,3]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[5,6,7,8,2,4,1,3]=>[2,1,5,6,7,8,4,3]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[5,6,7,8,2,4,3,1]=>[5,2,6,7,8,4,3,1]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,6,7,8,1,4,2,3]=>[1,5,2,6,7,8,4,3]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[4,6,7,1,8,5,2,3]=>[1,6,4,7,8,5,2,3]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[3,6,1,7,8,5,2,4]=>[3,6,1,7,8,2,5,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[2,1,6,7,8,5,3,4]=>[2,6,7,1,3,8,5,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[3,6,1,7,8,5,4,2]=>[6,7,3,8,5,1,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[4,6,7,1,8,5,3,2]=>[6,4,7,8,5,3,1,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[5,6,7,8,1,4,3,2]=>[5,6,1,7,8,4,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[5,6,7,8,4,1,3,2]=>[5,1,6,7,8,4,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[4,6,7,3,8,5,2,1,10,9]=>[10,6,4,7,8,3,5,2,1,9]=>[[1,5,8,9],[2,7],[3],[4],[6],[10]]=>[4,2,4]
[5,6,7,8,4,3,2,1,10,9]=>[10,5,6,7,8,4,3,2,1,9]=>[[1,6,7,8,9],[2],[3],[4],[5],[10]]=>[5,5]
[5,7,8,9,4,10,6,3,2,1]=>[7,5,8,9,10,4,6,3,2,1]=>[[1,6,9,10],[2,8],[3],[4],[5],[7]]=>[5,2,3]
[6,7,8,9,10,5,4,3,2,1]=>[6,7,8,9,10,5,4,3,2,1]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>[6,4]
[6,5,8,7,3,4,1,2]=>[1,3,8,6,5,7,4,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[3,6,7,4,5,8,1,2]=>[1,3,6,4,7,5,8,2]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[2,6,7,4,5,1,8,3]=>[6,2,4,7,5,8,1,3]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[1,6,7,4,5,2,3,8]=>[1,6,2,4,7,5,3,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[1,5,4,7,6,2,3,8]=>[1,7,5,4,2,6,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[2,5,4,7,6,1,8,3]=>[7,5,4,2,6,8,1,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[3,5,4,7,6,8,1,2]=>[1,7,5,3,4,6,8,2]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[4,5,3,7,8,6,1,2]=>[1,7,4,5,3,8,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[5,4,3,8,7,6,1,2]=>[1,8,7,5,4,3,6,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[6,4,8,3,7,5,1,2]=>[1,6,8,4,3,7,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[6,3,8,4,5,7,1,2]=>[1,3,6,4,8,5,7,2]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[5,3,4,8,6,7,1,2]=>[1,3,8,5,4,6,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[4,3,5,6,8,7,1,2]=>[1,8,4,3,5,6,7,2]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[3,2,5,6,1,8,7,4]=>[8,5,3,2,6,7,1,4]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[4,2,5,6,8,1,7,3]=>[4,5,2,6,8,1,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[5,2,4,8,6,1,7,3]=>[8,2,5,4,6,7,1,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[6,2,8,4,5,1,7,3]=>[6,2,4,8,5,7,1,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[7,8,2,4,5,1,6,3]=>[4,2,5,7,8,6,1,3]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[7,8,1,4,5,2,3,6]=>[1,4,2,5,7,8,3,6]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[6,1,8,4,5,2,3,7]=>[1,6,2,4,8,5,3,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[5,1,4,8,6,2,3,7]=>[1,5,8,2,4,6,3,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[4,1,3,2,8,6,5,7]=>[6,8,4,1,3,2,5,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[5,1,3,8,2,6,4,7]=>[5,1,8,3,2,6,4,7]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[6,1,8,3,2,5,4,7]=>[6,3,5,8,1,2,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[7,8,1,3,2,5,4,6]=>[1,7,3,8,5,2,4,6]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[7,8,2,3,1,5,6,4]=>[7,2,3,1,8,5,6,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[6,2,8,3,1,5,7,4]=>[6,2,8,3,5,1,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[5,2,3,8,1,6,7,4]=>[5,2,6,3,1,8,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[6,3,8,2,1,7,5,4]=>[6,8,7,3,2,5,1,4]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[7,8,3,2,1,6,5,4]=>[7,8,3,6,5,2,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[7,8,4,2,6,1,5,3]=>[4,7,2,8,6,1,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[5,4,2,8,7,1,6,3]=>[5,8,4,7,2,1,6,3]=>[[1,3],[2,6],[4,7],[5,8]]=>[2,3,3]
[4,5,2,7,8,1,6,3]=>[4,5,7,2,1,8,6,3]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[2,5,3,7,1,6,8,4]=>[5,7,2,3,1,6,8,4]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[1,5,3,7,2,6,4,8]=>[5,7,3,1,2,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[1,6,7,3,2,5,4,8]=>[6,1,7,5,3,2,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[2,6,7,3,1,5,8,4]=>[6,2,7,3,5,1,8,4]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[3,6,7,2,1,8,5,4]=>[6,7,3,8,5,2,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[7,8,5,6,2,1,4,3]=>[5,2,7,8,6,4,1,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[6,5,8,7,1,2,3,4]=>[1,2,3,8,6,5,7,4]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[5,4,1,8,7,2,3,6]=>[1,5,8,4,2,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[6,4,8,1,7,2,3,5]=>[1,4,6,2,8,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[7,8,3,1,2,6,4,5]=>[1,7,3,2,8,6,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[5,3,1,8,2,7,4,6]=>[5,3,8,1,2,7,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[4,3,1,2,8,7,5,6]=>[1,8,7,4,3,2,5,6]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[4,2,1,3,8,5,7,6]=>[8,2,7,4,1,3,5,6]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[5,2,1,8,3,4,7,6]=>[8,2,5,1,7,3,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[6,2,8,1,3,4,7,5]=>[6,2,1,8,3,4,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[7,8,2,1,3,4,6,5]=>[7,2,1,3,8,6,4,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[4,3,1,2,6,5,8,7]=>[8,6,1,4,3,2,5,7]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[5,3,1,6,2,4,8,7]=>[8,3,5,1,6,2,4,7]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[6,3,1,5,2,4,8,7]=>[8,3,1,6,5,2,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[7,3,1,5,2,8,4,6]=>[3,7,5,1,8,2,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[8,4,5,1,2,7,3,6]=>[4,1,5,2,8,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[7,4,5,1,2,8,3,6]=>[4,1,5,7,2,8,3,6]=>[[1,2,3,6],[4,5,7,8]]=>[4,3,1]
[6,4,5,1,2,3,8,7]=>[8,1,2,4,6,5,3,7]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[5,4,6,1,2,3,8,7]=>[8,1,2,5,4,6,3,7]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[2,1,6,5,3,4,8,7]=>[8,2,6,5,1,3,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[3,6,1,5,2,4,8,7]=>[8,3,1,6,2,5,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[4,6,5,1,2,3,8,7]=>[8,1,2,6,4,5,3,7]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[5,6,4,1,2,3,8,7]=>[8,1,2,5,6,4,3,7]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[6,5,4,1,2,3,8,7]=>[8,1,2,6,5,4,3,7]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[7,5,4,1,2,8,3,6]=>[1,7,5,4,2,8,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[8,6,4,1,7,2,3,5]=>[1,4,6,8,2,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[7,6,4,1,8,2,3,5]=>[1,4,7,6,2,8,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[6,7,4,1,8,2,3,5]=>[1,4,6,7,2,8,3,5]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[5,7,4,1,2,8,3,6]=>[5,1,4,7,2,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[4,7,5,1,2,8,3,6]=>[1,7,4,5,2,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[3,7,1,5,2,8,4,6]=>[3,7,5,1,2,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[2,1,7,5,3,8,4,6]=>[5,7,2,8,1,3,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[2,1,8,5,3,7,4,6]=>[5,2,8,7,1,3,4,6]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[3,8,1,5,2,7,4,6]=>[3,8,1,5,2,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[4,8,5,1,2,7,3,6]=>[4,1,5,8,2,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[5,8,4,1,2,7,3,6]=>[5,1,4,2,8,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[6,8,4,1,7,2,3,5]=>[1,4,6,2,8,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[8,7,4,1,6,2,3,5]=>[1,4,2,8,7,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[5,8,6,7,1,2,3,4]=>[1,2,3,5,8,6,7,4]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[4,8,6,1,7,2,3,5]=>[1,4,2,8,6,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[3,8,1,6,7,2,4,5]=>[3,1,2,6,4,8,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[2,1,8,6,7,3,4,5]=>[2,1,8,3,6,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[2,1,7,6,8,3,4,5]=>[2,1,7,6,3,4,8,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[3,7,1,6,8,2,4,5]=>[3,1,2,7,4,6,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[4,7,6,1,8,2,3,5]=>[1,4,7,2,6,8,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[5,7,6,8,1,2,3,4]=>[1,2,3,7,5,6,8,4]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[5,4,7,1,2,8,3,6]=>[5,1,4,2,7,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[6,4,7,1,8,2,3,5]=>[1,4,6,2,7,8,3,5]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[7,4,6,1,8,2,3,5]=>[1,4,2,7,6,8,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[8,4,6,1,7,2,3,5]=>[1,4,2,6,8,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[8,3,1,6,7,2,4,5]=>[3,1,2,8,4,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[7,3,1,6,8,2,4,5]=>[3,1,2,7,6,4,8,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[6,3,1,7,8,2,4,5]=>[3,1,6,2,7,4,8,5]=>[[1,2,4,5],[3,6,7,8]]=>[3,3,2]
[5,3,1,7,2,8,4,6]=>[5,3,7,1,8,2,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[4,3,1,2,7,8,5,6]=>[1,7,4,3,2,5,8,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[2,1,4,3,8,7,5,6]=>[4,8,7,2,1,3,5,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[3,4,1,2,8,7,5,6]=>[1,8,7,3,4,2,5,6]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[6,3,1,8,7,2,4,5]=>[3,1,8,6,2,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[7,3,1,8,6,2,4,5]=>[3,1,7,8,2,6,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[8,4,7,1,6,2,3,5]=>[1,4,2,8,3,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[7,4,8,1,6,2,3,5]=>[1,4,2,7,8,3,6,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[5,4,8,1,2,7,3,6]=>[5,1,4,2,8,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[4,5,8,1,2,7,3,6]=>[4,1,5,2,8,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[3,5,1,8,2,7,4,6]=>[5,3,1,8,2,7,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[2,1,5,8,3,7,4,6]=>[5,2,8,1,3,4,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[2,1,6,8,7,3,4,5]=>[2,1,8,6,3,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[3,6,1,8,7,2,4,5]=>[3,1,8,2,6,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[4,6,8,1,7,2,3,5]=>[1,4,2,6,8,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[5,6,8,7,1,2,3,4]=>[1,2,3,8,5,6,7,4]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[7,5,8,6,1,2,3,4]=>[1,2,3,7,8,5,6,4]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[8,5,7,6,1,2,3,4]=>[1,2,3,8,5,7,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[5,7,8,6,1,2,3,4]=>[1,2,3,7,5,8,6,4]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[4,7,8,1,6,2,3,5]=>[1,4,2,7,3,8,6,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[3,7,1,8,6,2,4,5]=>[3,1,7,2,8,6,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[2,1,7,8,6,3,4,5]=>[2,1,7,8,3,4,6,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[2,1,8,7,6,3,4,5]=>[2,1,8,7,6,3,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[3,8,1,7,6,2,4,5]=>[3,1,8,2,7,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[4,8,7,1,6,2,3,5]=>[1,4,2,8,7,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[5,8,7,6,1,2,3,4]=>[1,2,3,8,7,5,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[6,8,7,5,1,2,3,4]=>[1,2,3,8,6,7,5,4]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[6,4,7,3,8,5,1,2]=>[1,6,7,4,8,3,5,2]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[6,4,7,3,5,8,1,2]=>[1,4,6,3,7,5,8,2]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[6,4,7,2,5,1,8,3]=>[4,6,7,2,5,8,1,3]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[5,4,2,7,6,1,8,3]=>[7,5,4,6,2,8,1,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[5,4,3,7,6,8,1,2]=>[1,7,5,4,3,6,8,2]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[6,4,8,3,5,7,1,2]=>[1,4,6,3,5,8,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[5,4,3,8,6,7,1,2]=>[1,5,8,4,3,6,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[5,4,3,6,8,7,1,2]=>[1,8,5,4,3,6,7,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[5,4,2,6,7,1,8,3]=>[5,4,6,2,7,8,1,3]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,4,2,6,7,1,3,8]=>[2,5,4,1,6,7,3,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[5,3,2,6,1,7,4,8]=>[5,6,3,2,7,1,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,3,2,6,1,7,8,4]=>[5,6,3,2,7,1,8,4]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,3,2,6,1,8,7,4]=>[8,5,6,3,2,7,1,4]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[5,4,2,6,8,1,7,3]=>[5,4,6,2,8,1,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[5,4,2,8,6,1,7,3]=>[5,8,4,6,2,7,1,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[6,4,8,2,5,1,7,3]=>[4,6,5,2,8,7,1,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[7,8,4,2,5,1,6,3]=>[4,7,2,8,5,6,1,3]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[7,8,4,2,5,1,3,6]=>[2,4,1,7,8,5,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[5,4,2,8,6,1,3,7]=>[2,5,8,4,1,6,3,7]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[5,3,2,6,1,8,4,7]=>[5,6,3,2,1,8,4,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[4,3,2,1,6,8,5,7]=>[6,4,3,2,1,5,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[4,3,2,1,8,6,5,7]=>[6,8,4,3,2,1,5,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[5,3,2,8,1,6,4,7]=>[5,3,8,2,1,6,4,7]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[6,3,8,2,1,5,4,7]=>[6,3,2,8,5,1,4,7]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[7,8,3,2,1,5,4,6]=>[3,7,5,8,2,1,4,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[7,8,3,2,1,5,6,4]=>[7,3,2,8,5,1,6,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[6,3,8,2,1,5,7,4]=>[6,3,8,2,1,5,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[5,3,2,8,1,6,7,4]=>[5,6,3,2,1,8,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[5,4,2,7,8,1,6,3]=>[5,4,7,2,1,8,6,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[5,3,2,7,1,8,6,4]=>[7,5,8,3,2,6,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[5,3,2,7,1,6,8,4]=>[5,7,3,2,1,6,8,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[5,3,2,7,1,6,4,8]=>[5,7,3,2,1,6,4,8]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[6,3,7,2,1,5,4,8]=>[6,3,7,2,5,1,4,8]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[6,3,7,2,1,5,8,4]=>[6,3,7,2,5,1,8,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[6,3,7,2,1,8,5,4]=>[6,7,8,3,5,2,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[6,4,7,2,8,1,5,3]=>[4,6,7,2,8,1,5,3]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[6,5,7,8,2,1,4,3]=>[6,2,5,7,8,4,1,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[6,5,8,7,2,1,3,4]=>[2,1,8,6,5,7,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[6,3,7,2,1,8,4,5]=>[3,6,7,2,8,1,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[6,3,7,2,1,4,8,5]=>[6,3,7,2,8,1,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[6,3,7,2,1,4,5,8]=>[3,2,6,1,7,4,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[5,3,2,7,1,4,8,6]=>[7,3,5,2,1,8,4,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[5,4,2,8,7,1,3,6]=>[2,5,8,4,1,3,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[7,8,4,2,6,1,3,5]=>[2,4,1,7,8,3,6,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[7,8,3,2,1,6,4,5]=>[3,7,2,8,6,1,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[6,3,8,2,1,7,4,5]=>[3,6,8,2,1,7,4,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[5,3,2,8,1,7,4,6]=>[5,3,8,2,1,4,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[4,3,2,1,8,7,5,6]=>[4,8,7,3,2,1,5,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[4,3,2,1,7,5,8,6]=>[7,8,4,3,2,1,5,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[4,3,2,1,7,5,6,8]=>[4,7,3,2,1,5,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[4,3,2,1,8,5,7,6]=>[8,4,7,3,2,1,5,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[5,3,2,8,1,4,7,6]=>[8,3,5,2,1,4,7,6]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[6,3,8,2,1,4,7,5]=>[6,3,8,2,1,7,4,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[7,8,3,2,1,4,6,5]=>[7,3,2,8,6,1,4,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[6,3,8,2,1,4,5,7]=>[3,2,6,1,4,8,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[4,3,2,1,8,5,6,7]=>[4,3,8,2,1,5,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[4,3,2,1,5,8,6,7]=>[4,8,3,2,1,5,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[7,8,5,6,1,2,4,3]=>[5,1,2,7,8,6,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[7,8,4,1,6,2,5,3]=>[4,7,1,8,6,5,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[7,8,1,4,6,2,5,3]=>[4,7,1,2,8,6,5,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[6,1,8,4,7,2,5,3]=>[6,1,8,4,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[1,6,8,4,7,2,5,3]=>[4,6,8,1,2,7,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[1,6,8,3,2,7,5,4]=>[6,8,7,1,5,3,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[6,1,8,3,2,7,5,4]=>[6,8,7,3,5,1,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[7,8,1,3,2,6,5,4]=>[7,8,1,6,3,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[7,8,3,1,2,6,5,4]=>[7,8,1,3,6,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[7,8,3,4,6,5,1,2]=>[1,7,3,4,8,6,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[7,8,2,4,6,1,5,3]=>[4,2,7,1,8,6,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[7,8,2,3,1,6,5,4]=>[7,8,2,3,6,5,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[7,8,2,1,3,6,5,4]=>[7,8,2,1,6,5,3,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[7,8,1,2,3,6,5,4]=>[7,8,1,2,3,6,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[6,1,8,2,3,7,5,4]=>[6,8,1,7,2,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,6,8,2,3,7,5,4]=>[6,8,1,7,2,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,5,2,8,3,7,6,4]=>[8,5,7,1,6,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[5,1,2,8,3,7,6,4]=>[8,5,7,1,2,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[5,2,1,8,3,7,6,4]=>[8,5,7,2,6,1,3,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[6,2,8,1,3,7,5,4]=>[6,8,2,7,1,3,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[6,2,8,3,1,7,5,4]=>[6,8,7,2,5,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[6,2,8,4,7,1,5,3]=>[6,2,4,8,7,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[6,3,8,4,7,5,1,2]=>[1,6,8,3,7,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[3,6,8,4,7,5,1,2]=>[1,6,8,3,4,7,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[2,6,8,4,7,1,5,3]=>[6,2,4,8,1,7,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[2,6,8,3,1,7,5,4]=>[6,8,7,2,3,5,1,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[2,6,8,1,3,7,5,4]=>[6,8,2,1,7,3,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[2,5,1,8,3,7,6,4]=>[8,5,7,2,1,6,3,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[1,2,5,8,3,7,6,4]=>[8,5,7,1,2,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[2,4,1,3,8,7,6,5]=>[8,7,6,2,1,4,3,5]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[2,5,3,8,1,7,6,4]=>[8,5,7,2,3,1,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[2,5,4,8,7,1,6,3]=>[5,8,4,2,7,1,6,3]=>[[1,3],[2,6],[4,7],[5,8]]=>[2,3,3]
[3,5,4,8,7,6,1,2]=>[1,8,7,5,3,4,6,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[5,3,4,8,7,6,1,2]=>[1,8,7,3,5,4,6,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[5,2,4,8,7,1,6,3]=>[8,2,5,4,7,1,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[5,2,3,8,1,7,6,4]=>[8,5,2,7,3,1,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[4,2,1,3,8,7,6,5]=>[8,7,6,2,4,1,3,5]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[4,1,2,3,8,7,6,5]=>[8,7,6,1,2,4,3,5]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[1,4,2,3,8,7,6,5]=>[8,7,6,1,4,2,3,5]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[4,1,3,2,8,7,6,5]=>[8,7,6,4,1,3,2,5]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[4,3,1,2,8,7,6,5]=>[8,7,6,1,4,3,2,5]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[6,3,8,1,2,7,5,4]=>[6,8,1,7,3,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[5,3,1,8,2,7,6,4]=>[8,5,7,3,1,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[5,1,3,8,2,7,6,4]=>[8,5,7,1,3,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[1,5,3,8,2,7,6,4]=>[8,5,7,3,1,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[1,5,4,8,7,2,6,3]=>[5,8,4,7,1,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[5,1,4,8,7,2,6,3]=>[5,8,4,1,7,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[5,4,1,8,7,2,6,3]=>[5,8,4,7,1,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[6,4,8,1,7,2,5,3]=>[4,6,8,1,7,2,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[6,5,8,7,1,2,4,3]=>[8,1,2,6,5,7,4,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[5,6,8,7,3,4,1,2]=>[1,3,8,5,6,7,4,2]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[5,6,8,7,2,1,4,3]=>[8,2,5,6,7,4,1,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,5,1,8,7,2,6,3]=>[4,8,5,7,1,6,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[4,1,5,8,7,2,6,3]=>[4,8,5,7,1,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[1,4,5,8,7,2,6,3]=>[4,8,5,1,7,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[1,3,5,8,2,7,6,4]=>[8,5,3,1,7,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[3,1,5,8,2,7,6,4]=>[8,5,3,7,1,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[3,6,8,1,2,7,5,4]=>[6,8,1,3,7,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[3,6,8,2,1,7,5,4]=>[6,8,3,7,2,5,1,4]=>[[1,4],[2,5],[3,7],[6,8]]=>[3,3,2]
[4,6,8,2,7,1,5,3]=>[4,6,2,8,1,7,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[4,6,8,3,7,5,1,2]=>[1,6,4,8,3,7,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[4,5,3,8,7,6,1,2]=>[1,8,7,4,5,3,6,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[4,5,2,8,7,1,6,3]=>[4,8,5,7,2,1,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[3,5,2,8,1,7,6,4]=>[8,5,3,7,2,1,6,4]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[3,1,4,2,8,7,6,5]=>[8,7,6,3,4,1,2,5]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[3,1,2,4,8,7,6,5]=>[8,7,6,1,3,2,4,5]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[3,2,5,8,1,7,6,4]=>[8,5,3,2,7,1,6,4]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[4,2,5,8,7,1,6,3]=>[4,8,5,2,7,1,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[4,3,5,8,7,6,1,2]=>[1,8,7,4,3,5,6,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[3,4,5,8,7,6,1,2]=>[1,8,7,3,4,5,6,2]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[2,4,5,8,7,1,6,3]=>[8,2,4,5,7,1,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[2,3,5,8,1,7,6,4]=>[8,5,2,3,7,1,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[4,1,3,2,6,5,8,7]=>[8,6,4,1,3,2,5,7]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[5,1,3,2,6,4,8,7]=>[8,5,6,1,3,2,4,7]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[6,1,3,2,5,4,8,7]=>[8,6,1,5,3,2,4,7]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[7,1,3,2,5,4,8,6]=>[7,8,1,5,3,2,4,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,1,3,2,5,4,7,6]=>[8,1,7,5,3,2,4,6]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[8,1,4,2,5,3,7,6]=>[8,1,7,4,5,2,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[7,1,4,2,5,3,8,6]=>[7,8,1,4,5,2,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[6,1,4,2,5,3,8,7]=>[8,6,1,4,5,2,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[5,1,4,2,6,3,8,7]=>[8,5,4,1,6,2,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[2,1,6,3,5,4,8,7]=>[8,6,2,5,1,3,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[3,1,6,2,5,4,8,7]=>[8,6,3,1,5,2,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[4,1,6,2,5,3,8,7]=>[8,4,6,1,5,2,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[6,2,5,1,4,3,8,7]=>[8,6,2,1,5,4,3,7]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[5,2,6,1,4,3,8,7]=>[8,5,2,6,1,4,3,7]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[5,2,7,1,4,3,8,6]=>[7,5,2,8,1,4,3,6]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[5,2,8,1,4,3,7,6]=>[8,5,2,1,7,4,3,6]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[6,2,8,1,4,3,7,5]=>[6,8,2,1,7,4,3,5]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[6,2,7,1,4,3,8,5]=>[6,7,2,8,1,4,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[7,2,6,1,4,3,8,5]=>[7,6,2,1,8,4,3,5]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[7,2,5,1,4,3,8,6]=>[7,8,2,1,5,4,3,6]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[4,1,7,2,5,3,8,6]=>[7,4,8,1,5,2,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[3,1,7,2,5,4,8,6]=>[7,8,3,1,5,2,4,6]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[2,1,7,3,5,4,8,6]=>[7,8,2,5,1,3,4,6]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[2,1,8,3,5,4,7,6]=>[8,2,7,5,1,3,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[3,1,8,2,5,4,7,6]=>[8,3,7,1,5,2,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[4,1,8,2,5,3,7,6]=>[8,4,1,7,5,2,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[8,2,5,1,4,3,7,6]=>[8,2,7,1,5,4,3,6]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[8,2,6,1,4,3,7,5]=>[8,2,6,1,7,4,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[7,1,4,3,8,2,6,5]=>[7,4,8,1,3,2,6,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[8,1,4,3,7,2,6,5]=>[8,1,7,4,3,2,6,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[8,1,5,3,7,2,6,4]=>[8,1,5,7,3,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[7,1,5,3,8,2,6,4]=>[5,7,8,1,3,2,6,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[8,2,6,1,5,3,7,4]=>[8,2,6,1,5,7,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[5,1,8,2,6,3,7,4]=>[5,8,1,6,7,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[4,1,8,2,6,3,7,5]=>[8,4,1,6,7,2,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[3,1,8,2,6,4,7,5]=>[8,3,6,1,7,2,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[2,1,8,3,6,4,7,5]=>[8,2,6,7,1,3,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[2,1,7,3,6,4,8,5]=>[7,6,2,8,1,3,4,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[4,1,7,2,6,3,8,5]=>[7,4,6,1,8,2,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[5,1,7,2,6,3,8,4]=>[5,7,6,1,8,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[7,2,6,1,5,3,8,4]=>[7,6,2,1,5,8,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[6,2,7,1,5,3,8,4]=>[6,7,2,5,1,8,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[6,2,8,1,5,3,7,4]=>[6,8,2,1,5,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[8,1,5,2,6,3,7,4]=>[8,1,5,6,7,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[6,1,5,2,7,3,8,4]=>[6,5,7,1,8,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[6,1,4,2,7,3,8,5]=>[6,7,4,1,8,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[8,1,4,2,6,3,7,5]=>[8,1,6,4,7,2,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[8,1,3,2,6,4,7,5]=>[8,1,6,7,3,2,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[7,1,3,2,6,4,8,5]=>[7,6,1,8,3,2,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[6,1,3,2,7,4,8,5]=>[6,7,8,1,3,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[5,1,3,2,7,4,8,6]=>[7,5,8,1,3,2,4,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[4,1,3,2,7,5,8,6]=>[7,8,4,1,3,2,5,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[2,1,4,3,8,5,7,6]=>[8,4,7,2,1,3,5,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[3,1,4,2,8,5,7,6]=>[8,3,7,4,1,2,5,6]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[4,1,3,2,8,5,7,6]=>[8,4,7,1,3,2,5,6]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[5,1,3,2,8,4,7,6]=>[8,5,1,7,3,2,4,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[6,1,3,2,8,4,7,5]=>[6,8,1,7,3,2,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[8,4,7,1,3,2,6,5]=>[8,4,1,3,7,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[7,4,8,1,3,2,6,5]=>[7,1,8,4,3,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[7,3,8,1,4,2,6,5]=>[7,3,1,8,6,4,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[8,3,7,1,4,2,6,5]=>[8,3,1,7,4,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[6,1,4,2,8,3,7,5]=>[6,8,4,1,2,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[5,1,4,2,8,3,7,6]=>[8,5,4,1,2,7,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[4,1,5,2,8,3,7,6]=>[8,4,5,1,7,2,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[3,1,5,2,8,4,7,6]=>[8,5,3,1,7,2,4,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[2,1,5,3,8,4,7,6]=>[8,5,2,7,1,3,4,6]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[2,1,6,3,8,4,7,5]=>[6,8,2,7,1,3,4,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[3,1,6,2,8,4,7,5]=>[6,8,3,1,7,2,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[4,1,6,2,8,3,7,5]=>[6,4,8,1,7,2,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[5,1,6,2,8,3,7,4]=>[5,6,8,1,7,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[6,1,5,2,8,3,7,4]=>[6,5,8,1,2,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[8,3,7,1,5,2,6,4]=>[8,3,1,5,7,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[7,3,8,1,5,2,6,4]=>[7,3,1,8,5,6,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[6,2,7,3,8,1,5,4]=>[6,2,7,8,3,1,5,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[6,2,8,3,7,1,5,4]=>[6,2,8,3,7,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[8,3,7,2,6,1,5,4]=>[8,3,2,1,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[5,1,8,3,7,2,6,4]=>[5,8,1,7,3,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[4,1,8,3,7,2,6,5]=>[8,4,1,7,3,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[3,1,8,4,7,2,6,5]=>[8,3,4,7,1,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[2,1,8,4,7,3,6,5]=>[8,2,7,4,1,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[2,1,7,4,8,3,6,5]=>[7,4,8,2,1,3,6,5]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[3,1,7,4,8,2,6,5]=>[7,3,8,4,1,2,6,5]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[4,1,7,3,8,2,6,5]=>[7,4,3,8,1,2,6,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[5,1,7,3,8,2,6,4]=>[5,7,3,8,1,2,6,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[7,3,8,2,6,1,5,4]=>[7,3,2,8,1,6,5,4]=>[[1,4],[2,5],[3,6],[7,8]]=>[3,4,1]
[8,2,6,3,7,1,5,4]=>[8,2,3,6,7,1,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[7,2,6,3,8,1,5,4]=>[7,2,6,3,8,1,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[3,4,2,6,8,1,5,7]=>[3,4,2,1,6,5,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[5,3,6,2,8,1,4,7]=>[3,5,2,6,1,4,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[5,3,6,2,4,8,1,7]=>[3,5,2,6,4,1,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[5,7,3,8,2,4,1,6]=>[3,5,2,7,4,8,1,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[5,7,3,8,2,4,6,1]=>[3,5,2,7,4,8,6,1]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[7,4,2,5,8,3,6,1]=>[4,5,7,2,3,8,6,1]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[7,4,2,5,8,3,1,6]=>[4,5,7,2,3,8,1,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[4,5,2,6,3,8,1,7]=>[4,5,6,2,3,1,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[4,5,2,1,6,8,3,7]=>[4,5,6,2,1,3,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[5,3,1,6,8,2,4,7]=>[3,5,1,6,2,4,8,7]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[5,6,2,8,1,3,4,7]=>[2,1,5,6,3,4,8,7]=>[[1,3,4,7],[2,5,6,8]]=>[2,3,3]
[3,5,6,1,4,8,2,7]=>[3,5,1,6,4,2,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[4,5,6,3,2,8,1,7]=>[4,5,6,3,2,1,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[7,4,5,3,8,2,1,6]=>[4,5,7,3,2,8,1,6]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[7,4,5,3,8,2,6,1]=>[4,5,7,3,2,8,6,1]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[6,7,4,8,3,2,5,1]=>[4,6,7,3,8,2,5,1]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[6,7,4,8,3,2,1,5]=>[4,6,7,3,8,2,1,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[6,7,4,1,8,3,2,5]=>[4,6,7,3,8,1,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[7,4,5,3,1,8,2,6]=>[4,5,7,3,1,8,2,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[4,7,1,5,8,3,2,6]=>[4,5,7,1,3,8,2,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[5,3,7,8,1,4,2,6]=>[3,5,1,7,4,8,2,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[7,5,8,2,4,6,1,3]=>[2,1,5,7,4,8,6,3]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[7,3,5,8,1,4,6,2]=>[3,5,1,7,4,8,6,2]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[4,5,1,7,8,3,6,2]=>[4,5,7,1,3,8,6,2]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[7,4,1,5,8,3,6,2]=>[4,5,7,3,1,8,6,2]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[6,7,4,3,8,1,5,2]=>[4,6,7,3,8,1,5,2]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[6,7,4,8,3,1,5,2]=>[4,6,7,3,8,5,1,2]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[6,7,4,8,3,5,2,1]=>[4,6,7,3,8,5,2,1]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[5,6,7,3,8,4,2,1]=>[5,6,7,8,3,4,2,1]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,6,7,3,1,8,4,2]=>[5,6,7,8,3,4,1,2]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[5,6,1,7,3,8,4,2]=>[5,6,7,8,3,1,4,2]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[5,1,6,7,3,8,4,2]=>[5,6,7,8,1,3,4,2]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[6,4,7,1,8,3,5,2]=>[4,6,7,1,8,3,5,2]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[6,7,8,3,1,4,5,2]=>[3,6,1,7,8,4,5,2]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[6,7,2,8,4,5,1,3]=>[2,1,6,7,8,4,5,3]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[6,7,2,8,4,1,3,5]=>[2,1,6,7,8,4,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[6,1,7,4,8,3,2,5]=>[4,6,7,1,8,3,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[5,1,6,7,3,2,8,4]=>[5,6,7,8,1,3,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[5,6,1,7,3,2,8,4]=>[5,6,7,8,3,1,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[5,6,7,3,2,1,8,4]=>[5,6,7,8,3,2,1,4]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,6,7,3,2,8,4,1]=>[5,6,7,8,3,2,4,1]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,6,2,7,3,8,4,1]=>[5,6,7,8,2,3,4,1]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[5,6,2,7,3,1,8,4]=>[5,6,7,8,2,3,1,4]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[5,6,2,1,7,3,8,4]=>[5,6,7,8,2,1,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[6,1,7,4,2,8,3,5]=>[4,6,7,1,8,2,3,5]=>[[1,2,3,5],[4,6,7,8]]=>[4,2,2]
[6,7,2,1,8,3,4,5]=>[2,1,6,7,8,3,4,5]=>[[1,3,4,5],[2,6,7,8]]=>[2,4,2]
[7,5,8,2,1,3,4,6]=>[2,1,5,7,3,8,4,6]=>[[1,3,4,6],[2,5,7,8]]=>[2,3,2,1]
[5,7,3,1,8,2,4,6]=>[3,5,1,7,2,8,4,6]=>[[1,2,4,6],[3,5,7,8]]=>[3,2,2,1]
[4,7,1,5,2,8,3,6]=>[4,5,7,1,2,8,3,6]=>[[1,2,3,6],[4,5,7,8]]=>[4,3,1]
[7,4,2,5,1,8,3,6]=>[4,5,7,2,1,8,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[6,7,4,2,1,8,3,5]=>[4,6,7,2,8,1,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[6,7,4,2,8,3,1,5]=>[4,6,7,2,8,3,1,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[6,7,4,2,8,3,5,1]=>[4,6,7,2,8,3,5,1]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[3,6,7,2,8,4,5,1]=>[3,6,2,7,8,4,5,1]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[3,6,7,2,8,4,1,5]=>[3,6,2,7,8,4,1,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[3,6,7,2,1,8,4,5]=>[3,6,2,7,8,1,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[5,7,3,8,2,1,4,6]=>[3,5,2,7,1,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[3,7,8,1,4,6,2,5]=>[3,4,1,2,7,8,6,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[5,7,3,8,2,6,1,4]=>[3,5,2,7,1,8,6,4]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[3,6,7,2,8,5,1,4]=>[3,6,2,7,8,1,5,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[3,6,7,8,5,2,1,4]=>[3,6,2,7,8,5,1,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[3,6,7,8,5,2,4,1]=>[3,6,2,7,8,5,4,1]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[6,4,7,8,2,5,3,1]=>[4,6,7,2,8,5,3,1]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[6,4,7,8,2,1,5,3]=>[4,6,7,2,8,5,1,3]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[4,1,5,7,8,2,6,3]=>[4,5,7,1,2,8,6,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[5,3,7,8,1,6,2,4]=>[3,5,1,7,2,8,6,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[6,7,2,8,5,1,3,4]=>[2,1,6,7,8,3,5,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[6,4,1,7,8,2,5,3]=>[4,6,7,1,8,2,5,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[5,1,6,2,7,8,4,3]=>[5,6,7,8,1,2,4,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[5,6,2,1,7,8,4,3]=>[5,6,7,8,2,1,4,3]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[5,6,2,7,1,8,4,3]=>[5,6,7,8,2,4,1,3]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[5,6,2,7,8,4,3,1]=>[5,6,7,8,2,4,3,1]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,6,7,2,8,4,3,1]=>[5,6,7,8,4,2,3,1]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,6,7,2,1,8,4,3]=>[5,6,7,8,4,2,1,3]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,6,1,7,2,8,4,3]=>[5,6,7,8,4,1,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[5,1,6,7,2,8,4,3]=>[5,6,7,8,1,4,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[6,4,7,1,8,2,5,3]=>[4,6,7,1,8,5,2,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[3,6,7,1,8,5,2,4]=>[3,6,1,7,8,5,2,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[6,7,8,5,2,4,1,3]=>[2,1,6,7,8,5,4,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[4,6,7,8,1,5,3,2]=>[4,6,7,1,8,5,3,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[5,1,6,7,8,4,3,2]=>[5,6,7,8,1,4,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[5,6,1,7,8,4,3,2]=>[5,6,7,8,4,1,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[5,6,7,1,8,4,3,2]=>[5,6,7,8,4,3,1,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[8,6,1,3,4,2,5,7]=>[3,1,4,6,8,2,5,7]=>[[1,2,5,7],[3,4,6,8]]=>[3,3,2]
[8,3,2,5,1,6,4,7]=>[3,8,2,5,6,1,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[8,5,3,6,2,4,1,7]=>[3,5,2,8,6,4,1,7]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[5,3,2,7,4,1,8,6]=>[7,5,8,3,2,4,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[7,5,3,8,2,4,6,1]=>[3,5,7,2,4,8,6,1]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[7,2,4,5,8,3,6,1]=>[4,2,5,7,3,8,6,1]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[2,4,5,3,7,1,8,6]=>[7,4,2,5,3,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[8,2,4,5,6,3,1,7]=>[4,2,5,6,8,3,1,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[8,2,4,5,6,1,3,7]=>[2,1,4,5,6,8,3,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[8,1,2,4,5,6,3,7]=>[4,1,2,5,6,8,3,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[8,2,5,1,3,6,4,7]=>[5,2,1,6,8,3,4,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[8,5,6,2,1,4,3,7]=>[5,2,6,8,4,1,3,7]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[8,5,3,6,4,1,2,7]=>[1,5,6,8,3,4,2,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[8,4,1,5,6,3,2,7]=>[4,5,8,1,6,3,2,7]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[8,1,4,5,6,3,2,7]=>[4,5,1,6,8,3,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[4,5,3,7,2,1,8,6]=>[7,4,5,3,8,2,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[7,4,5,8,3,2,6,1]=>[4,5,7,3,8,2,6,1]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[4,3,6,7,2,8,5,1]=>[6,4,3,7,8,2,5,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[4,3,6,7,2,8,1,5]=>[4,3,2,6,7,1,8,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[1,4,3,6,7,2,8,5]=>[6,4,3,1,7,8,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[4,5,3,7,1,8,2,6]=>[4,5,3,1,7,8,2,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[4,1,5,3,7,2,8,6]=>[7,4,5,3,1,8,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[5,3,4,7,1,2,8,6]=>[7,1,3,5,4,8,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[7,5,8,2,1,4,6,3]=>[5,2,7,8,1,4,6,3]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[7,5,3,8,4,1,6,2]=>[5,7,3,8,4,6,1,2]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[7,4,5,8,3,6,1,2]=>[1,4,5,7,3,8,6,2]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[4,3,6,7,8,1,5,2]=>[4,3,6,1,7,8,5,2]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[1,6,4,7,8,3,5,2]=>[4,6,3,1,7,8,5,2]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[6,4,7,8,3,5,2,1]=>[4,6,3,7,8,5,2,1]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[3,5,6,7,8,4,1,2]=>[1,5,3,6,7,8,4,2]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[3,1,5,6,7,8,4,2]=>[5,3,6,1,7,8,4,2]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[4,6,1,7,8,3,5,2]=>[4,6,1,7,3,8,5,2]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[3,6,7,1,4,8,5,2]=>[6,3,7,1,8,4,5,2]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[6,2,4,1,7,8,5,3]=>[6,7,2,4,8,1,5,3]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[2,6,7,1,4,8,3,5]=>[2,6,1,4,7,3,8,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[4,3,6,7,8,1,2,5]=>[1,4,3,2,6,7,8,5]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[1,5,3,6,7,8,2,4]=>[3,5,1,2,6,7,8,4]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[3,5,6,7,8,2,1,4]=>[3,2,5,6,7,8,1,4]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[3,5,6,7,8,2,4,1]=>[3,2,5,6,7,8,4,1]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[5,2,7,1,3,8,4,6]=>[5,2,1,7,3,8,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[5,3,1,7,8,2,4,6]=>[3,5,1,2,7,4,8,6]=>[[1,2,4,6],[3,5,7,8]]=>[3,2,2,1]
[4,5,2,7,8,1,3,6]=>[2,4,5,1,3,7,8,6]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[4,2,6,7,8,3,1,5]=>[4,2,6,3,7,8,1,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[4,2,6,7,8,3,5,1]=>[4,2,6,3,7,8,5,1]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[3,6,2,7,4,8,5,1]=>[6,7,3,8,2,4,5,1]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[3,6,2,7,4,8,1,5]=>[3,6,2,7,4,1,8,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[3,2,1,6,4,7,8,5]=>[6,7,3,2,1,4,8,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[3,7,4,2,1,5,8,6]=>[7,3,8,4,2,1,5,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[1,7,3,4,2,5,8,6]=>[7,1,8,3,4,2,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[4,7,2,1,3,5,8,6]=>[7,2,4,1,8,3,5,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[7,8,4,2,1,3,6,5]=>[7,2,4,8,6,1,3,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[7,8,1,3,4,2,6,5]=>[7,3,1,4,8,6,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[7,8,3,4,2,1,6,5]=>[7,3,4,8,6,2,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[6,3,2,7,1,8,5,4]=>[6,7,8,3,2,5,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[3,6,2,7,1,8,5,4]=>[6,7,3,8,2,5,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[6,7,3,8,2,5,4,1]=>[6,3,7,8,2,5,4,1]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[6,4,7,8,5,2,3,1]=>[2,6,7,4,8,5,3,1]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[2,6,4,7,8,1,5,3]=>[6,2,4,7,1,8,5,3]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[4,6,2,7,8,1,5,3]=>[4,6,2,7,1,8,5,3]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[7,4,5,8,6,2,1,3]=>[2,7,4,8,5,6,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[7,4,1,5,8,6,2,3]=>[1,7,4,8,5,2,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[7,5,3,8,6,1,2,4]=>[1,3,7,8,5,2,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[7,5,8,2,1,6,3,4]=>[2,5,7,8,1,6,3,4]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[6,2,7,1,3,8,5,4]=>[6,7,2,8,1,5,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[6,3,1,7,8,2,5,4]=>[6,3,7,1,8,2,5,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[4,6,1,7,8,5,2,3]=>[1,6,4,7,8,2,5,3]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[5,1,2,6,7,8,4,3]=>[5,6,1,7,2,8,4,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[5,2,6,7,8,4,1,3]=>[2,5,6,1,7,8,4,3]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[5,2,6,7,8,4,3,1]=>[5,6,7,2,8,4,3,1]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[2,5,6,7,8,4,1,3]=>[2,5,1,6,7,8,4,3]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[1,5,2,6,7,8,4,3]=>[5,6,7,1,2,8,4,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[1,6,4,7,8,5,2,3]=>[1,6,7,4,2,8,5,3]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[2,6,7,1,3,8,5,4]=>[6,7,2,1,8,5,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[6,7,8,2,1,5,4,3]=>[6,7,2,8,5,4,1,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[6,7,3,8,5,1,4,2]=>[3,6,7,8,5,1,4,2]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[6,4,7,8,5,3,1,2]=>[1,6,7,4,8,5,3,2]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[4,5,2,3,7,6,1,8]=>[7,2,4,5,3,6,1,8]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[6,4,3,7,2,5,1,8]=>[4,6,3,2,7,5,1,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[8,4,3,6,5,1,2,7]=>[1,4,8,6,3,5,2,7]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[1,5,6,3,4,8,7,2]=>[8,5,1,3,6,4,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[4,6,2,7,3,5,1,8]=>[4,2,6,7,3,5,1,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[3,2,6,7,4,5,1,8]=>[3,6,2,4,7,5,1,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[4,7,2,6,5,3,1,8]=>[7,4,6,2,5,3,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[5,7,6,2,4,3,1,8]=>[7,2,5,6,4,3,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[1,7,5,4,8,3,6,2]=>[5,7,4,3,1,8,6,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[8,7,5,4,1,3,2,6]=>[1,8,5,7,4,3,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[6,8,5,4,2,1,3,7]=>[2,6,5,8,4,1,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[5,8,6,2,4,1,3,7]=>[2,1,5,8,6,4,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,8,2,6,5,1,3,7]=>[2,4,8,1,6,5,3,7]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[3,2,8,6,5,1,4,7]=>[3,6,8,2,1,5,4,7]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[4,1,2,6,5,8,7,3]=>[8,6,4,1,5,2,7,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[5,1,6,2,4,8,7,3]=>[8,5,1,6,4,2,7,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[6,1,5,4,2,8,7,3]=>[8,6,5,4,1,7,2,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[7,1,5,4,8,2,6,3]=>[5,7,4,1,8,2,6,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[8,1,5,4,7,6,2,3]=>[1,8,7,2,5,4,6,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[1,8,6,7,4,5,3,2]=>[8,4,1,6,7,5,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[8,1,6,7,4,5,2,3]=>[1,6,2,4,8,7,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[7,1,6,8,4,2,5,3]=>[7,1,6,4,8,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[6,1,7,8,2,4,5,3]=>[6,1,2,7,4,8,5,3]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[5,1,7,2,8,4,6,3]=>[5,7,1,8,4,2,6,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[4,1,2,7,8,5,6,3]=>[7,1,4,5,2,8,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[3,2,1,7,8,5,6,4]=>[7,3,5,2,1,8,6,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[3,2,8,7,1,5,4,6]=>[3,8,2,7,1,5,4,6]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[4,8,2,7,1,5,3,6]=>[4,2,8,1,5,7,3,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[5,8,7,2,1,4,3,6]=>[2,8,5,4,7,1,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[6,8,7,1,2,4,3,5]=>[1,8,2,4,6,7,3,5]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[7,8,6,1,4,2,3,5]=>[1,2,7,4,8,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[8,7,6,1,4,3,2,5]=>[1,8,7,4,6,3,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[1,7,6,8,4,3,5,2]=>[7,1,6,8,4,3,5,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[1,6,7,8,3,4,5,2]=>[3,1,6,4,7,8,5,2]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[8,6,7,1,3,4,2,5]=>[3,1,4,6,8,7,2,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[7,6,8,1,3,2,4,5]=>[1,3,7,2,6,8,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[5,7,8,2,1,3,4,6]=>[2,1,5,3,7,8,4,6]=>[[1,3,4,6],[2,5,7,8]]=>[2,3,2,1]
[4,7,2,8,1,3,5,6]=>[2,4,1,3,7,5,8,6]=>[[1,3,5,6],[2,4,7,8]]=>[2,2,3,1]
[3,2,6,8,4,1,5,7]=>[3,6,2,4,1,8,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[4,6,2,8,3,1,5,7]=>[4,2,6,3,8,1,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[5,6,8,2,3,1,4,7]=>[2,3,5,6,1,8,4,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[6,5,8,3,2,1,4,7]=>[3,6,5,2,8,1,4,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[7,5,8,3,1,2,4,6]=>[1,3,5,7,2,8,4,6]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[8,5,7,3,1,4,2,6]=>[3,5,4,8,7,1,2,6]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[1,5,7,3,8,4,6,2]=>[5,7,1,3,8,4,6,2]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[1,4,3,7,8,5,6,2]=>[4,7,3,1,5,8,6,2]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[8,4,3,7,1,5,2,6]=>[4,3,1,8,7,5,2,6]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[6,4,3,8,2,1,5,7]=>[4,6,3,2,1,8,5,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[4,5,2,3,8,1,6,7]=>[2,4,5,3,1,6,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[3,2,5,4,8,1,6,7]=>[5,3,2,4,1,6,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[4,5,2,3,1,8,7,6]=>[8,7,2,4,5,3,1,6]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[6,4,3,1,2,8,7,5]=>[8,6,1,7,4,3,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[7,4,3,1,8,2,6,5]=>[7,4,8,3,1,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[8,4,3,1,7,6,2,5]=>[4,8,3,7,1,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[1,5,8,3,7,6,4,2]=>[8,5,7,3,1,6,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[8,5,1,3,7,6,2,4]=>[1,8,5,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[7,5,1,3,8,2,6,4]=>[7,1,5,8,3,2,6,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[6,5,1,3,2,8,7,4]=>[8,6,5,1,7,3,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[5,6,1,2,3,8,7,4]=>[8,5,1,2,6,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[4,6,2,1,3,8,7,5]=>[8,6,2,4,7,1,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[3,2,6,1,4,8,7,5]=>[8,6,3,2,1,7,4,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[3,2,7,1,8,4,6,5]=>[7,3,8,2,1,6,4,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[4,7,2,1,8,3,6,5]=>[7,4,2,8,6,1,3,5]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[5,7,1,2,8,3,6,4]=>[5,7,1,2,8,6,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[6,7,1,8,2,3,5,4]=>[6,1,2,7,8,5,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[7,6,1,8,3,2,5,4]=>[7,3,6,8,5,1,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[8,6,1,7,3,5,2,4]=>[1,6,3,8,7,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[1,6,8,7,3,5,4,2]=>[8,6,1,7,3,5,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[1,7,8,6,5,3,4,2]=>[7,1,8,6,3,5,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[8,7,1,6,5,3,2,4]=>[1,8,7,6,3,5,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[7,8,1,6,5,2,3,4]=>[1,2,7,8,3,6,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[6,8,1,7,2,5,3,4]=>[1,6,2,8,7,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[5,8,1,2,7,6,3,4]=>[1,8,5,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[4,8,2,1,7,6,3,5]=>[4,8,2,7,1,6,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[3,2,8,1,7,6,4,5]=>[3,8,7,2,1,4,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[4,1,2,8,7,6,5,3]=>[8,7,6,4,1,5,2,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[5,1,8,2,7,6,4,3]=>[8,5,7,6,1,4,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[6,1,8,7,2,5,4,3]=>[8,6,1,7,5,4,2,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[7,1,8,6,5,2,4,3]=>[7,1,8,6,5,4,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[8,1,7,6,5,4,2,3]=>[1,8,7,6,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[3,1,2,6,5,8,7,4]=>[8,6,5,1,3,2,7,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[3,1,6,2,4,8,7,5]=>[8,6,3,1,7,2,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[3,1,5,2,4,8,7,6]=>[8,7,3,1,5,2,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[4,5,1,2,3,8,7,6]=>[8,7,1,2,4,5,3,6]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[4,6,1,2,3,8,7,5]=>[8,6,1,2,4,7,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[1,6,5,3,4,8,7,2]=>[8,6,1,5,3,4,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[6,1,5,2,4,8,7,3]=>[8,6,1,5,2,4,7,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[6,5,1,2,3,8,7,4]=>[8,6,1,2,5,7,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[6,4,1,2,3,8,7,5]=>[8,6,1,2,7,4,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[5,4,1,2,3,8,7,6]=>[8,7,1,2,5,4,3,6]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[5,4,1,2,7,3,6,8]=>[5,1,4,2,7,3,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[6,4,1,7,2,3,5,8]=>[1,4,6,2,7,3,5,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[6,4,1,8,2,3,5,7]=>[1,4,6,2,3,8,5,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[7,4,1,2,8,3,6,5]=>[7,1,8,4,2,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[7,5,1,2,8,3,6,4]=>[7,1,5,8,2,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[7,1,5,2,8,4,6,3]=>[5,7,8,1,2,4,6,3]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[1,7,5,3,8,4,6,2]=>[5,7,8,1,3,4,6,2]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[1,8,5,3,7,4,6,2]=>[5,8,1,7,3,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[8,1,5,2,7,4,6,3]=>[8,1,5,7,2,4,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[8,5,1,2,7,3,6,4]=>[5,8,1,2,7,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[8,4,1,2,7,3,6,5]=>[8,4,1,2,7,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,4,1,7,2,3,5,6]=>[1,4,2,3,8,7,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[7,4,1,6,2,3,5,8]=>[1,4,2,7,6,3,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[8,6,1,7,2,3,5,4]=>[6,1,2,8,7,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[8,1,6,7,2,4,5,3]=>[6,1,2,4,8,7,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[1,8,6,7,3,4,5,2]=>[3,1,8,4,6,7,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[1,7,6,8,3,4,5,2]=>[3,1,7,6,4,8,5,2]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[7,1,6,8,2,4,5,3]=>[7,1,2,4,6,8,5,3]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[7,6,1,8,2,3,5,4]=>[7,1,2,6,8,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[4,7,1,2,8,3,6,5]=>[7,4,1,2,8,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[3,1,7,2,8,4,6,5]=>[7,3,8,1,6,2,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[3,1,2,7,8,5,6,4]=>[7,1,5,3,2,8,6,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[1,4,3,8,7,5,6,2]=>[4,8,7,3,1,5,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[4,1,2,8,7,5,6,3]=>[8,1,7,4,5,2,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[3,1,2,8,7,5,6,4]=>[8,1,7,5,3,2,6,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[3,1,8,2,7,4,6,5]=>[8,3,7,1,2,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[3,1,8,7,2,4,5,6]=>[3,1,2,8,4,7,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[3,1,7,6,2,4,5,8]=>[3,1,7,2,6,4,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[4,7,1,6,2,3,5,8]=>[1,4,2,7,3,6,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[4,8,1,6,2,3,5,7]=>[1,4,2,3,8,6,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[4,8,1,7,2,3,5,6]=>[1,4,2,3,8,5,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[4,8,1,2,7,3,6,5]=>[8,4,1,2,7,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[5,8,1,2,7,3,6,4]=>[5,8,1,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[5,1,8,2,7,4,6,3]=>[5,8,1,7,2,4,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[1,5,8,3,7,4,6,2]=>[5,8,1,3,4,7,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[1,6,8,7,3,4,5,2]=>[3,1,8,6,4,7,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[6,1,8,7,2,4,5,3]=>[8,1,2,6,7,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[6,8,1,7,2,3,5,4]=>[6,1,2,8,7,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[6,8,7,1,2,3,4,5]=>[1,2,3,4,8,6,7,5]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[5,8,7,1,2,3,4,6]=>[1,2,3,5,8,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[5,8,6,1,2,3,4,7]=>[1,2,3,5,8,6,4,7]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[5,7,6,1,2,3,4,8]=>[1,2,3,7,5,6,4,8]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[7,8,1,6,2,3,5,4]=>[7,1,2,8,3,6,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[7,1,8,6,2,4,5,3]=>[7,1,2,8,6,4,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[1,7,8,6,3,4,5,2]=>[3,1,7,8,4,6,5,2]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[1,8,7,6,3,4,5,2]=>[3,1,8,7,6,4,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[8,1,7,6,2,4,5,3]=>[8,1,2,7,4,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[8,7,1,6,2,3,5,4]=>[8,1,2,7,3,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[3,2,5,1,6,4,8,7]=>[8,5,3,2,6,1,4,7]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[3,2,5,4,7,1,8,6]=>[7,5,3,2,4,8,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[4,2,5,3,7,6,8,1]=>[7,4,5,2,3,6,8,1]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[4,2,5,3,7,1,8,6]=>[7,4,5,2,3,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[4,2,5,3,6,1,8,7]=>[8,4,5,2,3,6,1,7]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[4,2,5,1,6,3,8,7]=>[8,4,5,2,6,1,3,7]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[3,1,5,4,6,2,8,7]=>[8,5,3,4,1,6,2,7]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[4,1,5,3,6,2,8,7]=>[8,4,5,3,1,6,2,7]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[4,3,5,1,6,2,8,7]=>[8,4,3,5,6,1,2,7]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[4,3,5,2,7,1,8,6]=>[7,4,3,5,2,8,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[4,3,6,2,7,5,8,1]=>[6,4,3,7,2,5,8,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[4,3,6,2,7,1,8,5]=>[6,4,3,7,2,8,1,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[4,3,6,1,7,2,8,5]=>[6,4,3,7,8,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[4,3,5,1,7,2,8,6]=>[7,4,3,5,8,1,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[3,1,5,4,7,2,8,6]=>[7,5,3,4,1,8,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[2,1,5,4,7,3,8,6]=>[7,5,4,2,1,8,3,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[3,1,5,4,7,6,8,2]=>[7,5,3,4,1,6,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[4,1,5,3,7,6,8,2]=>[7,4,5,3,1,6,8,2]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[4,3,5,1,7,6,8,2]=>[7,4,3,5,6,1,8,2]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[4,3,6,1,7,5,8,2]=>[6,4,3,7,5,1,8,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[4,3,6,5,7,1,8,2]=>[6,4,3,5,7,8,1,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[5,3,6,4,7,2,8,1]=>[5,6,3,4,7,2,8,1]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,3,6,4,7,1,8,2]=>[5,6,3,4,7,8,1,2]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[5,3,6,1,7,4,8,2]=>[5,6,3,7,4,1,8,2]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[5,1,6,3,7,4,8,2]=>[5,6,7,3,1,4,8,2]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[4,1,6,3,7,5,8,2]=>[6,4,7,3,1,5,8,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[3,1,6,4,7,5,8,2]=>[6,7,3,4,1,5,8,2]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[2,1,6,4,7,5,8,3]=>[6,7,4,2,1,5,8,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[2,1,6,4,7,3,8,5]=>[6,7,4,2,1,8,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[3,1,6,4,7,2,8,5]=>[6,7,3,4,1,8,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[4,1,6,3,7,2,8,5]=>[6,4,7,3,1,8,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[5,1,6,3,7,2,8,4]=>[5,6,7,3,1,8,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[5,3,6,1,7,2,8,4]=>[5,6,3,7,8,1,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[5,3,6,2,7,1,8,4]=>[5,6,3,7,2,8,1,4]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,3,6,2,7,4,8,1]=>[5,6,3,7,2,4,8,1]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,2,6,3,7,4,8,1]=>[5,6,7,2,3,4,8,1]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[5,2,6,3,7,1,8,4]=>[5,6,7,2,3,8,1,4]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[5,2,6,1,7,3,8,4]=>[5,6,7,2,8,1,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[4,2,5,1,7,3,8,6]=>[7,4,5,2,8,1,3,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[4,2,6,1,7,3,8,5]=>[6,4,7,2,8,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[4,2,6,3,7,1,8,5]=>[6,4,7,2,3,8,1,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[4,2,6,3,7,5,8,1]=>[6,4,7,2,3,5,8,1]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[3,2,6,4,7,5,8,1]=>[6,7,3,2,4,5,8,1]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[3,2,6,4,7,1,8,5]=>[6,7,3,2,4,8,1,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[3,2,6,1,7,4,8,5]=>[6,7,3,2,8,1,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[3,2,5,1,7,4,8,6]=>[7,5,3,2,8,1,4,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[3,2,4,1,7,5,8,6]=>[7,8,3,2,4,1,5,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[3,1,4,2,7,6,8,5]=>[7,6,3,4,1,2,8,5]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[3,2,5,1,7,6,8,4]=>[7,5,3,2,6,1,8,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[3,2,6,1,7,5,8,4]=>[6,7,3,2,5,1,8,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[3,2,6,5,7,1,8,4]=>[6,5,3,2,7,8,1,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[4,2,6,5,7,3,8,1]=>[6,4,5,2,7,3,8,1]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[4,2,6,5,7,1,8,3]=>[6,4,5,2,7,8,1,3]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[4,2,6,1,7,5,8,3]=>[6,4,7,2,5,1,8,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[4,2,5,1,7,6,8,3]=>[7,4,5,2,6,1,8,3]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[4,1,5,2,7,6,8,3]=>[7,4,5,6,1,2,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[3,1,5,2,7,6,8,4]=>[7,5,3,6,1,2,8,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[2,1,5,3,7,6,8,4]=>[7,5,6,2,1,3,8,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[2,1,6,3,7,5,8,4]=>[6,7,5,2,1,3,8,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[3,1,6,2,7,5,8,4]=>[6,7,3,5,1,2,8,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[4,1,6,2,7,5,8,3]=>[6,4,7,5,1,2,8,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[5,1,6,2,7,4,8,3]=>[5,6,7,4,1,2,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[5,2,6,1,7,4,8,3]=>[5,6,7,2,4,1,8,3]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[5,2,6,4,7,1,8,3]=>[5,6,4,2,7,8,1,3]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,2,6,4,7,3,8,1]=>[5,6,4,2,7,3,8,1]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,4,6,2,7,3,8,1]=>[5,4,6,7,2,3,8,1]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,4,6,2,7,1,8,3]=>[5,4,6,7,2,8,1,3]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,4,6,1,7,2,8,3]=>[5,4,6,7,8,1,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[5,1,6,4,7,2,8,3]=>[5,6,4,7,1,8,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[4,1,6,5,7,2,8,3]=>[6,4,5,7,1,8,2,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[3,1,6,5,7,2,8,4]=>[6,5,3,7,1,8,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[2,1,6,5,7,3,8,4]=>[6,5,7,2,1,8,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[3,1,6,5,7,4,8,2]=>[6,5,3,7,1,4,8,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[4,1,6,5,7,3,8,2]=>[6,4,5,7,1,3,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[5,1,6,4,7,3,8,2]=>[5,6,4,7,1,3,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[5,4,6,1,7,3,8,2]=>[5,4,6,7,3,1,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[5,4,6,3,7,1,8,2]=>[5,4,6,3,7,8,1,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[8,3,5,2,1,6,4,7]=>[5,3,6,8,2,1,4,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[8,6,3,5,2,4,1,7]=>[3,2,6,8,5,4,1,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[3,7,5,2,4,1,8,6]=>[7,3,8,2,5,4,1,6]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[8,3,7,5,2,4,6,1]=>[3,2,8,5,7,4,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[8,2,4,5,7,3,6,1]=>[4,2,5,3,8,7,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[2,4,5,7,3,1,8,6]=>[7,4,2,5,8,3,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[8,2,4,6,5,3,1,7]=>[4,8,2,6,5,3,1,7]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[8,2,5,4,6,1,3,7]=>[2,1,5,8,4,6,3,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[8,6,3,5,1,4,2,7]=>[3,1,8,6,5,4,2,7]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[8,6,1,4,5,3,2,7]=>[4,1,8,6,5,3,2,7]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[8,1,5,6,4,3,2,7]=>[5,6,8,1,4,3,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[5,7,4,3,2,1,8,6]=>[7,5,8,4,3,2,1,6]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[8,5,7,4,3,2,6,1]=>[5,4,8,7,3,2,6,1]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[4,6,8,3,2,7,5,1]=>[6,4,8,3,7,2,5,1]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[4,7,6,3,2,8,1,5]=>[4,7,3,6,2,1,8,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[1,4,6,7,3,2,8,5]=>[6,4,7,1,8,3,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[5,4,7,3,1,8,2,6]=>[5,4,3,7,1,8,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[1,7,4,5,3,2,8,6]=>[7,8,4,1,5,3,2,6]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[3,7,5,1,4,2,8,6]=>[7,3,8,5,1,4,2,6]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[5,7,4,2,1,3,8,6]=>[7,2,5,8,4,1,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[8,5,7,4,2,1,6,3]=>[5,4,8,7,6,2,1,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[8,3,7,5,1,4,6,2]=>[3,8,1,5,7,4,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[8,4,1,7,5,3,6,2]=>[4,8,5,7,3,1,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[4,6,3,8,7,1,5,2]=>[4,8,3,6,7,1,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[1,7,4,8,6,3,5,2]=>[4,7,8,3,1,6,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[8,4,7,6,3,5,2,1]=>[4,8,3,7,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[3,6,5,8,7,4,1,2]=>[1,8,6,5,3,7,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[3,1,5,8,6,7,4,2]=>[8,3,5,6,1,7,4,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[4,8,1,6,7,3,5,2]=>[4,6,1,3,8,7,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[3,6,4,1,8,7,5,2]=>[8,6,7,3,4,5,1,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[8,2,6,1,4,7,5,3]=>[6,8,2,1,7,4,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[2,7,6,8,1,4,3,5]=>[2,7,1,6,4,8,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[3,7,1,6,4,8,2,5]=>[3,7,1,6,4,2,8,5]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[1,7,3,5,6,8,2,4]=>[3,1,2,7,5,6,8,4]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[1,3,6,7,5,8,2,4]=>[3,6,1,2,7,5,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[3,7,6,5,8,2,1,4]=>[3,7,6,2,5,8,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[3,6,8,5,7,2,4,1]=>[3,6,2,5,8,7,4,1]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[2,3,5,7,6,8,1,4]=>[2,7,3,1,5,6,8,4]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[2,1,6,5,7,8,3,4]=>[2,6,5,1,3,7,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[4,2,7,6,8,3,1,5]=>[4,7,2,6,3,8,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[4,2,6,8,7,3,5,1]=>[4,8,2,6,3,7,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[3,8,2,4,6,7,5,1]=>[6,3,2,4,8,7,5,1]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[3,7,2,6,4,8,1,5]=>[3,7,2,4,6,1,8,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[3,2,6,1,4,7,8,5]=>[6,3,2,1,7,4,8,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[5,3,7,2,1,8,4,6]=>[5,3,7,2,8,1,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[4,7,3,2,1,5,8,6]=>[7,4,3,8,2,1,5,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[8,7,6,1,3,4,2,5]=>[3,1,4,8,7,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[8,5,7,3,2,1,6,4]=>[5,8,3,7,6,2,1,4]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[8,3,6,7,2,1,5,4]=>[6,3,2,8,7,5,1,4]=>[[1,4],[2,5],[3,7],[6,8]]=>[3,3,2]
[3,7,8,6,2,1,5,4]=>[7,3,8,2,6,5,1,4]=>[[1,4],[2,5],[3,6],[7,8]]=>[3,4,1]
[8,7,6,3,5,2,4,1]=>[3,2,8,7,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[2,7,4,8,1,6,5,3]=>[7,8,2,4,6,1,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[4,6,8,2,1,7,5,3]=>[6,4,8,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[8,4,1,5,7,2,6,3]=>[4,8,1,5,7,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[8,5,3,7,1,6,2,4]=>[3,5,1,8,7,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[8,5,7,2,1,3,6,4]=>[5,2,8,1,7,6,3,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[8,2,6,7,1,3,5,4]=>[6,2,1,3,8,7,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[8,3,6,1,7,5,2,4]=>[3,6,1,8,7,5,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[4,6,1,8,7,2,5,3]=>[4,8,6,1,7,5,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[8,1,2,5,6,7,4,3]=>[5,6,1,2,8,7,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[8,2,6,5,7,4,1,3]=>[2,8,1,6,5,7,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[2,1,7,8,5,6,4,3]=>[7,5,2,8,1,6,4,3]=>[[1,3],[2,4],[5,6],[7,8]]=>[2,3,2,1]
[8,2,5,7,6,4,3,1]=>[8,5,7,2,6,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[2,7,6,8,5,4,1,3]=>[2,7,6,8,1,5,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[1,7,2,5,8,6,4,3]=>[7,8,5,1,6,2,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[1,7,4,8,2,6,5,3]=>[7,4,8,6,1,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[3,7,8,1,6,5,2,4]=>[3,7,1,8,2,6,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[2,7,8,6,1,3,5,4]=>[7,2,1,8,3,6,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[8,7,6,3,5,1,4,2]=>[3,8,1,7,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[8,4,7,6,5,1,3,2]=>[8,1,7,4,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[8,7,1,5,6,4,3,2]=>[5,8,7,1,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[8,1,6,7,5,4,3,2]=>[6,8,7,5,1,4,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[6,5,3,1,2,4,8,7]=>[8,1,3,6,5,2,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[4,6,3,5,1,2,8,7]=>[8,1,4,3,6,5,2,7]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[8,5,3,7,2,1,4,6]=>[3,5,2,8,1,7,4,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[6,8,1,4,5,7,3,2]=>[4,6,1,5,8,7,3,2]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[8,7,2,4,5,1,3,6]=>[2,1,4,5,8,7,3,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[3,6,2,4,5,1,8,7]=>[8,3,2,4,6,5,1,7]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[2,6,1,4,5,3,8,7]=>[8,4,2,1,6,5,3,7]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[6,1,2,4,5,3,8,7]=>[8,4,1,2,6,5,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[5,6,3,2,1,4,8,7]=>[8,3,5,6,2,1,4,7]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[5,4,3,6,1,2,8,7]=>[8,1,5,4,3,6,2,7]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[6,3,1,4,5,2,8,7]=>[8,3,6,1,4,5,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[3,1,6,4,5,2,8,7]=>[8,3,6,4,1,5,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[8,3,7,4,5,1,2,6]=>[1,3,4,8,5,7,2,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[5,8,7,4,2,6,3,1]=>[5,8,4,7,6,2,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[2,8,7,4,1,6,3,5]=>[2,8,4,7,1,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[8,1,7,4,2,6,3,5]=>[1,8,4,7,2,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[3,7,8,4,5,1,2,6]=>[1,3,4,7,5,8,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[2,1,8,7,5,3,4,6]=>[2,5,8,7,1,3,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[2,1,6,8,5,7,3,4]=>[2,6,5,1,3,8,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[5,6,3,8,1,7,2,4]=>[3,5,6,1,8,2,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[7,6,1,4,5,8,3,2]=>[4,7,1,6,5,8,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[3,7,6,4,5,8,2,1]=>[3,7,6,4,5,8,2,1]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[8,5,7,4,1,6,3,2]=>[5,4,8,7,6,3,1,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[5,1,8,4,7,6,2,3]=>[1,8,5,7,2,4,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[2,5,8,4,7,6,1,3]=>[2,8,5,1,4,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[2,4,8,3,5,6,7,1]=>[4,2,3,5,6,8,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[4,1,8,3,5,6,7,2]=>[4,3,1,5,8,6,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[3,8,4,2,5,6,7,1]=>[3,4,2,8,5,6,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[8,4,1,3,5,6,7,2]=>[4,1,3,5,8,6,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[7,5,8,4,3,6,1,2]=>[1,5,7,4,8,3,6,2]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[6,5,3,8,4,1,7,2]=>[6,5,3,8,4,7,1,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[2,1,5,8,4,6,7,3]=>[5,4,2,1,6,8,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[2,1,4,8,3,6,7,5]=>[6,4,2,1,3,8,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[6,4,3,8,2,1,7,5]=>[6,8,4,3,2,7,1,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[7,3,8,4,2,6,1,5]=>[3,4,7,8,2,1,6,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[8,3,1,2,5,6,7,4]=>[5,1,3,2,8,6,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[3,1,8,2,5,6,7,4]=>[5,3,1,2,8,6,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[2,3,8,1,5,6,7,4]=>[5,2,3,1,6,8,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[4,3,8,2,5,6,7,1]=>[4,3,2,5,6,8,7,1]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[4,8,2,3,5,6,7,1]=>[2,4,3,5,6,8,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[3,8,2,1,5,6,7,4]=>[5,3,2,1,8,6,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[2,8,1,3,5,6,7,4]=>[5,2,1,3,6,8,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[8,1,2,3,5,6,7,4]=>[5,1,2,3,6,8,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[7,8,2,4,3,6,1,5]=>[2,4,7,3,8,1,6,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[6,8,3,2,4,1,7,5]=>[6,3,8,2,7,4,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[2,1,8,3,4,6,7,5]=>[8,2,1,3,6,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[2,1,7,8,5,4,3,6]=>[5,7,8,2,1,4,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[5,7,3,8,1,4,2,6]=>[3,5,1,7,8,4,2,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[7,1,8,4,5,3,2,6]=>[1,7,8,4,5,3,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[2,7,8,4,5,3,1,6]=>[2,7,4,5,8,3,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[8,7,1,4,3,6,2,5]=>[1,8,4,3,7,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[3,8,7,4,2,6,1,5]=>[3,4,8,7,2,1,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[5,7,8,4,3,6,2,1]=>[5,4,7,8,3,6,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[5,6,3,8,4,2,7,1]=>[5,6,3,8,4,2,7,1]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[4,8,3,6,2,1,7,5]=>[6,4,3,8,7,2,1,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[8,6,3,1,4,2,7,5]=>[6,3,8,7,4,1,2,5]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[7,5,3,8,2,4,1,6]=>[3,5,7,2,4,8,1,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[2,4,3,1,8,5,7,6]=>[8,4,7,2,3,1,5,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[4,1,3,2,6,8,7,5]=>[8,6,4,1,3,2,7,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[7,5,3,6,2,8,1,4]=>[3,5,7,2,6,1,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[8,6,3,5,1,2,7,4]=>[6,1,3,8,5,7,2,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[5,8,3,2,6,1,7,4]=>[5,8,3,2,6,7,1,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[4,5,3,8,6,2,7,1]=>[4,8,5,3,6,2,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[3,5,8,4,7,6,2,1]=>[8,5,3,4,7,6,2,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[5,8,2,4,7,6,1,3]=>[2,8,1,5,4,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[8,7,5,4,1,6,2,3]=>[1,5,8,7,4,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[2,7,6,4,5,8,1,3]=>[2,1,7,6,4,5,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[7,1,6,4,5,8,2,3]=>[1,7,2,4,6,5,8,3]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[5,7,3,6,1,8,2,4]=>[3,5,1,7,6,8,2,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[2,1,7,6,5,8,3,4]=>[2,7,6,5,1,3,8,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[2,1,8,5,3,6,7,4]=>[5,8,2,6,1,3,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[6,8,3,5,2,1,7,4]=>[6,3,5,8,7,2,1,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[7,8,5,4,2,6,1,3]=>[2,5,7,8,4,1,6,3]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[8,1,4,2,5,6,7,3]=>[4,1,8,2,5,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[2,8,4,1,5,6,7,3]=>[4,2,8,1,5,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[4,8,1,2,5,6,7,3]=>[4,1,5,2,6,8,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[3,4,8,1,5,6,7,2]=>[3,4,5,1,6,8,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[3,4,2,8,5,6,7,1]=>[3,4,8,2,5,6,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[2,4,1,8,5,6,7,3]=>[4,2,8,5,1,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[4,1,2,8,5,6,7,3]=>[4,1,8,5,2,6,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[8,4,2,1,5,6,7,3]=>[4,8,2,1,5,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[7,5,2,4,8,6,1,3]=>[2,7,1,8,5,4,6,3]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[6,5,3,2,8,1,7,4]=>[6,5,8,3,2,1,7,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[2,1,5,3,8,6,7,4]=>[5,8,6,2,1,3,7,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[6,4,3,5,8,1,7,2]=>[4,6,3,5,8,1,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[7,3,5,4,8,6,1,2]=>[1,7,8,3,5,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,3,4,1,5,6,7,2]=>[3,4,5,1,8,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[4,3,1,8,5,6,7,2]=>[4,3,8,5,1,6,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[3,1,4,8,5,6,7,2]=>[3,8,1,4,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[6,5,3,7,2,8,4,1]=>[6,5,7,3,8,2,4,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[6,3,7,4,5,8,2,1]=>[3,6,7,4,5,8,2,1]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[6,7,2,4,5,8,3,1]=>[4,2,6,7,5,8,3,1]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[5,1,7,4,8,6,3,2]=>[7,5,8,4,6,1,3,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[2,5,7,4,8,6,3,1]=>[7,5,8,2,4,6,3,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[5,6,3,7,1,8,4,2]=>[5,6,7,3,8,4,1,2]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[3,8,7,4,5,2,1,6]=>[3,4,8,7,5,2,1,6]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[3,7,5,4,8,6,2,1]=>[7,8,5,3,4,6,2,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[5,7,1,4,8,6,2,3]=>[1,7,5,2,8,4,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[5,6,3,1,8,2,7,4]=>[5,6,8,3,1,7,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[4,6,3,5,8,2,7,1]=>[4,3,6,5,2,8,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[4,6,3,8,1,2,7,5]=>[6,1,4,8,3,2,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[3,7,8,4,1,6,2,5]=>[3,4,7,1,8,6,2,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[3,2,5,1,6,8,4,7]=>[5,3,2,6,1,4,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[3,6,2,5,4,8,1,7]=>[6,3,2,5,4,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[3,5,2,4,7,1,8,6]=>[7,3,2,5,4,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[3,5,8,2,4,7,6,1]=>[8,3,2,5,4,7,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[4,2,5,8,3,7,6,1]=>[8,4,5,2,3,7,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[4,2,6,5,3,8,1,7]=>[6,4,5,2,3,1,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[5,4,2,1,6,8,3,7]=>[5,4,6,2,1,3,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[6,3,5,1,4,8,2,7]=>[3,6,1,5,4,2,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[4,6,1,5,3,8,2,7]=>[4,6,5,1,3,2,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[5,1,6,4,3,8,2,7]=>[5,6,4,3,1,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[5,4,3,2,7,1,8,6]=>[7,5,4,3,2,8,1,6]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[5,4,3,8,2,7,6,1]=>[8,5,4,3,2,7,6,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[4,3,6,2,8,7,5,1]=>[8,6,4,3,7,2,5,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[4,3,7,6,2,1,8,5]=>[7,6,4,3,8,2,1,5]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[4,3,1]
[6,4,3,1,7,2,8,5]=>[6,7,4,3,8,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[7,5,4,3,1,8,2,6]=>[5,7,4,3,1,8,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[1,4,7,5,8,3,2,6]=>[4,7,5,1,3,8,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[7,1,3,5,8,4,2,6]=>[3,7,1,5,4,8,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[7,2,5,8,4,1,3,6]=>[2,1,7,5,4,8,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[2,8,5,7,4,6,1,3]=>[2,1,8,5,4,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[3,5,8,7,1,4,6,2]=>[3,8,1,5,4,7,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[1,4,5,8,7,3,6,2]=>[4,8,5,1,3,7,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[1,5,4,8,7,3,6,2]=>[5,8,4,3,1,7,6,2]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,3]
[6,4,3,8,1,7,5,2]=>[6,8,4,3,7,1,5,2]=>[[1,2],[3,5],[4,7],[6,8]]=>[4,2,2]
[4,3,7,1,8,6,5,2]=>[7,8,4,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>[4,3,1]
[4,8,3,7,6,5,2,1]=>[8,7,4,3,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[5,3,8,7,6,4,2,1]=>[8,7,5,6,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[7,5,3,1,8,6,4,2]=>[7,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[1,8,6,5,3,7,4,2]=>[6,8,5,7,3,1,4,2]=>[[1,2],[3,4],[5,7],[6,8]]=>[3,3,2]
[1,5,8,6,3,7,4,2]=>[5,8,6,7,1,3,4,2]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[4,6,1,8,7,3,5,2]=>[4,8,6,1,7,3,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[6,8,7,3,1,4,5,2]=>[3,8,1,6,7,4,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[6,2,8,7,4,5,1,3]=>[2,1,8,6,7,4,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[7,6,2,8,4,1,3,5]=>[2,1,7,6,8,4,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[7,3,1,6,8,4,2,5]=>[3,7,1,6,8,4,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[1,7,6,4,8,3,2,5]=>[4,7,6,1,8,3,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[5,7,1,6,3,2,8,4]=>[5,7,6,8,1,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[6,1,7,5,3,2,8,4]=>[6,7,5,8,3,1,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[7,6,5,3,2,1,8,4]=>[7,6,5,8,3,2,1,4]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[6,5,3,2,8,7,4,1]=>[8,6,5,7,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[5,2,6,3,8,7,4,1]=>[8,5,6,7,2,3,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[5,2,7,6,3,1,8,4]=>[7,5,6,8,2,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[6,5,2,1,7,3,8,4]=>[6,5,7,8,2,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[5,2,7,4,1,8,3,6]=>[5,4,7,2,1,8,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[4,7,2,6,3,1,8,5]=>[7,4,6,2,8,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[2,4,8,6,3,7,5,1]=>[8,4,6,2,7,3,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[3,8,6,2,4,7,5,1]=>[8,3,2,6,7,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[7,3,6,2,4,1,8,5]=>[7,3,2,6,8,4,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[4,3,7,8,2,1,5,6]=>[4,3,2,1,7,8,5,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[3,8,2,5,7,1,6,4]=>[5,3,2,8,1,7,6,4]=>[[1,4],[2,6],[3,7],[5,8]]=>[3,2,3]
[7,8,3,6,2,1,5,4]=>[7,3,2,8,6,5,1,4]=>[[1,4],[2,5],[3,6],[7,8]]=>[3,4,1]
[8,7,3,6,2,5,4,1]=>[8,3,2,7,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[4,7,8,2,1,6,5,3]=>[7,4,8,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>[2,2,3,1]
[4,2,6,8,1,7,5,3]=>[6,4,8,2,7,1,5,3]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[5,4,8,2,7,1,6,3]=>[5,4,8,2,1,7,6,3]=>[[1,3],[2,6],[4,7],[5,8]]=>[2,3,3]
[4,8,1,5,7,2,6,3]=>[4,5,8,1,2,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[5,8,3,7,1,6,2,4]=>[3,5,1,8,2,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[5,8,7,2,6,1,3,4]=>[2,1,5,8,3,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[8,6,2,7,5,1,3,4]=>[2,1,6,8,7,3,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[3,6,8,1,7,5,2,4]=>[3,6,1,8,7,2,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[5,1,6,8,2,7,4,3]=>[5,6,8,7,1,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[6,5,2,8,1,7,4,3]=>[6,5,8,7,2,1,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>[2,4,2]
[5,2,7,1,8,6,4,3]=>[7,5,8,6,2,4,1,3]=>[[1,3],[2,4],[5,6],[7,8]]=>[2,3,2,1]
[5,8,2,7,6,4,3,1]=>[8,5,7,6,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[6,2,8,7,5,4,3,1]=>[8,6,7,5,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[7,6,2,1,8,5,4,3]=>[7,6,8,5,4,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[6,1,7,2,8,5,4,3]=>[6,7,8,5,4,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[4,7,1,8,6,2,5,3]=>[4,7,8,1,6,5,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[7,8,3,1,6,5,2,4]=>[3,7,1,8,6,5,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[8,7,4,6,1,5,3,2]=>[4,8,7,1,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[8,5,7,1,6,4,3,2]=>[5,8,7,6,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[6,8,1,7,5,4,3,2]=>[6,8,7,5,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[7,1,8,6,5,4,3,2]=>[7,8,6,5,4,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[5,4,2,3,7,6,1,8]=>[7,2,5,4,3,6,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[6,4,2,7,3,5,1,8]=>[4,6,2,7,3,5,1,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[7,4,2,6,3,5,1,8]=>[4,2,7,6,3,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[8,4,2,6,3,1,5,7]=>[4,2,6,8,3,1,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[3,2,7,6,4,5,1,8]=>[3,7,6,2,4,5,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[4,7,2,6,3,5,1,8]=>[4,2,7,3,6,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[5,7,6,2,3,4,1,8]=>[2,3,7,5,6,4,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[1,6,5,2,3,8,4,7]=>[6,1,5,2,8,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[1,7,5,2,8,3,4,6]=>[1,5,7,2,8,3,4,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[6,8,5,2,3,1,4,7]=>[2,3,6,5,8,1,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[5,8,6,2,3,1,4,7]=>[2,3,5,8,6,1,4,7]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[4,8,2,6,3,1,5,7]=>[4,2,3,8,6,1,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[3,2,8,6,4,1,5,7]=>[3,6,8,2,4,1,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[3,2,1,6,4,8,5,7]=>[6,3,8,2,1,4,5,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[7,1,5,2,8,3,4,6]=>[1,5,7,2,3,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[1,8,5,2,7,3,4,6]=>[1,5,2,8,7,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[1,8,6,7,2,3,4,5]=>[1,2,3,8,4,6,7,5]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[8,1,6,7,2,3,4,5]=>[1,2,3,6,4,8,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[7,1,6,8,2,3,4,5]=>[1,2,3,7,4,6,8,5]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[3,2,1,7,8,4,5,6]=>[3,2,7,1,4,5,8,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[3,2,8,7,1,4,5,6]=>[3,2,1,8,4,5,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[5,8,7,2,1,3,4,6]=>[2,1,5,8,3,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[1,7,6,8,2,3,4,5]=>[1,2,3,7,6,4,8,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[6,5,8,2,3,1,4,7]=>[2,3,6,5,1,8,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[8,5,7,2,1,3,4,6]=>[2,1,5,3,8,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[6,4,2,8,3,1,5,7]=>[4,6,2,3,8,1,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[5,4,2,3,8,1,6,7]=>[2,5,4,3,1,6,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[3,2,5,4,1,8,6,7]=>[5,8,3,2,4,1,6,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[4,5,2,3,1,8,6,7]=>[2,8,4,5,3,1,6,7]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[5,4,2,3,1,8,6,7]=>[2,8,5,4,3,1,6,7]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[6,4,2,1,3,8,5,7]=>[6,2,4,8,1,3,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[7,4,2,1,8,3,5,6]=>[4,2,7,1,8,3,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[8,4,2,1,7,3,5,6]=>[4,2,1,8,7,3,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[1,4,2,8,7,3,5,6]=>[4,1,8,2,7,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[1,5,8,2,7,3,4,6]=>[1,5,2,8,3,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,5,1,2,7,3,4,6]=>[1,5,2,3,8,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[7,5,1,2,8,3,4,6]=>[1,2,7,5,3,8,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[6,5,1,2,3,8,4,7]=>[6,1,2,5,3,8,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[4,6,2,1,3,8,5,7]=>[6,2,4,1,8,3,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[3,2,6,1,4,8,5,7]=>[6,3,2,1,4,8,5,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[3,2,7,1,8,4,5,6]=>[3,2,7,1,4,8,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[4,7,2,1,8,3,5,6]=>[4,2,1,7,8,3,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[7,6,1,8,2,3,4,5]=>[1,2,3,7,6,8,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[8,6,1,7,2,3,4,5]=>[1,2,3,6,8,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,6,8,7,2,3,4,5]=>[1,2,3,8,6,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,7,8,6,2,3,4,5]=>[1,2,3,7,8,4,6,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[7,8,1,6,2,3,4,5]=>[1,2,3,7,4,8,6,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[6,8,1,7,2,3,4,5]=>[1,2,3,6,8,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[4,8,2,1,7,3,5,6]=>[4,2,1,8,3,7,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[3,2,8,1,7,4,5,6]=>[3,2,8,1,4,5,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[3,2,1,8,7,4,5,6]=>[3,2,8,7,1,4,5,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[5,1,8,2,7,3,4,6]=>[1,5,2,8,3,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[6,1,8,7,2,3,4,5]=>[1,2,3,8,6,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[8,1,7,6,2,3,4,5]=>[1,2,3,8,7,4,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[1,8,7,6,2,3,4,5]=>[1,2,3,8,7,6,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[6,3,5,1,2,4,8,7]=>[8,1,3,2,6,5,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[4,3,5,6,1,2,8,7]=>[8,1,4,3,5,6,2,7]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[8,3,7,5,2,1,4,6]=>[3,2,8,5,7,1,4,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[6,3,7,5,1,8,4,2]=>[6,7,5,3,8,4,1,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[6,5,2,7,1,8,3,4]=>[2,6,5,7,1,8,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[8,5,2,7,4,1,3,6]=>[2,5,1,8,7,4,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[2,6,1,5,4,3,8,7]=>[8,6,5,2,1,4,3,7]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[6,4,3,5,1,2,8,7]=>[8,1,4,6,3,5,2,7]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[5,3,1,4,6,2,8,7]=>[8,3,5,4,1,6,2,7]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[3,1,4,6,5,2,8,7]=>[8,6,3,4,1,5,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[5,7,4,6,2,8,3,1]=>[5,4,7,6,8,2,3,1]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[8,1,4,7,2,6,3,5]=>[4,1,8,2,3,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[3,4,7,8,5,2,1,6]=>[3,7,4,5,8,2,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[2,1,8,5,7,3,4,6]=>[2,1,8,5,3,4,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,6,3,5,1,7,4,2]=>[6,3,8,5,7,4,1,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[5,8,2,4,6,7,3,1]=>[5,2,4,6,8,7,3,1]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[3,4,8,6,5,7,1,2]=>[1,6,8,3,4,5,7,2]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[7,5,4,8,1,6,3,2]=>[5,7,4,8,6,1,3,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[5,1,4,6,8,2,7,3]=>[5,4,1,6,8,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[2,5,4,6,7,1,8,3]=>[5,4,2,6,7,8,1,3]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[2,4,6,3,7,5,8,1]=>[6,4,2,7,3,5,8,1]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[4,1,6,3,8,5,7,2]=>[6,4,8,1,3,5,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[3,7,4,2,8,6,5,1]=>[7,8,6,3,4,2,5,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[7,4,1,3,5,8,6,2]=>[7,4,1,8,3,5,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[6,5,8,4,1,7,3,2]=>[6,5,4,8,7,3,1,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[8,5,3,7,4,1,6,2]=>[5,3,8,7,4,6,1,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[2,1,4,8,3,7,6,5]=>[8,7,4,2,1,3,6,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[7,4,3,8,2,1,6,5]=>[7,4,8,3,2,6,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[6,3,7,4,1,8,2,5]=>[3,6,7,4,1,8,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[8,3,1,2,5,7,6,4]=>[8,7,1,3,2,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[3,1,8,2,7,6,5,4]=>[8,7,6,3,1,5,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[2,3,8,1,6,7,5,4]=>[6,8,2,3,1,7,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[4,3,7,2,6,8,5,1]=>[7,4,3,2,6,8,5,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[4,7,2,3,8,5,6,1]=>[2,7,4,3,8,5,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[3,8,2,1,7,5,6,4]=>[8,3,7,2,1,5,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[2,8,1,3,6,5,7,4]=>[8,2,6,1,3,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[2,7,8,5,4,3,1,6]=>[5,7,8,2,4,3,1,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[8,7,1,6,3,4,2,5]=>[1,8,3,4,7,6,2,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[3,8,6,7,2,4,1,5]=>[3,2,4,8,6,7,1,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[5,3,8,7,4,2,6,1]=>[5,8,3,7,4,2,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[4,3,8,7,2,1,6,5]=>[8,4,7,3,2,6,1,5]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[8,3,6,1,4,2,7,5]=>[8,3,1,6,7,4,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[7,3,5,8,2,4,1,6]=>[3,2,5,7,4,8,1,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[2,3,4,1,8,5,7,6]=>[8,2,7,3,4,1,5,6]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[4,1,3,2,6,7,8,5]=>[6,4,1,3,2,7,8,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[8,3,5,6,2,7,1,4]=>[3,2,5,6,8,1,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[5,3,6,1,8,7,2,4]=>[3,8,5,1,6,7,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[5,6,2,8,7,4,1,3]=>[2,8,5,6,7,1,4,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[7,8,5,6,1,4,2,3]=>[1,5,2,7,8,6,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[2,8,6,5,4,7,1,3]=>[2,6,8,5,1,4,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[8,1,6,4,5,7,2,3]=>[1,4,2,8,6,5,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[5,8,3,6,1,7,2,4]=>[3,5,1,6,8,7,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[2,1,8,6,5,7,3,4]=>[2,6,8,5,1,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[2,1,7,5,3,6,8,4]=>[5,7,6,2,1,3,8,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[6,7,3,5,2,1,8,4]=>[6,3,7,5,8,2,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[7,1,4,2,5,6,8,3]=>[4,1,7,5,2,6,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[2,7,4,1,6,5,8,3]=>[7,6,2,4,5,1,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[4,6,1,2,8,7,3,5]=>[4,8,1,2,6,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[2,4,1,5,8,7,6,3]=>[8,7,4,2,5,1,6,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[4,1,2,5,8,6,7,3]=>[8,1,4,5,2,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[6,4,2,1,5,8,7,3]=>[8,4,6,5,2,1,7,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[8,5,2,4,6,1,7,3]=>[5,2,4,8,6,7,1,3]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[7,5,3,2,6,8,1,4]=>[3,5,7,2,1,6,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[2,1,5,3,6,8,7,4]=>[8,5,6,2,1,3,7,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[7,3,5,4,6,1,8,2]=>[3,7,5,4,6,8,1,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[6,3,4,1,5,7,8,2]=>[3,4,6,5,1,7,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[4,3,1,5,7,6,8,2]=>[7,4,3,5,1,6,8,2]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[3,1,4,5,6,8,7,2]=>[8,3,4,1,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[4,5,2,6,3,1,8,7]=>[8,4,5,6,2,3,1,7]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[6,5,2,1,4,3,8,7]=>[8,6,2,5,4,1,3,7]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[6,5,2,7,4,8,3,1]=>[6,5,7,4,2,8,3,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[8,5,2,7,4,1,6,3]=>[5,8,2,7,4,6,1,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[8,3,7,5,2,1,6,4]=>[8,3,5,7,6,2,1,4]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[6,3,7,5,2,8,4,1]=>[6,7,5,3,8,2,4,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[3,1,6,5,4,2,8,7]=>[8,6,5,3,4,1,2,7]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[5,6,3,2,4,1,8,7]=>[8,3,5,6,2,4,1,7]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[3,6,2,4,1,5,8,7]=>[8,3,2,4,6,1,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[2,6,1,3,5,4,8,7]=>[8,6,2,1,3,5,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[6,7,2,3,4,8,5,1]=>[6,2,3,7,8,4,5,1]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[8,7,2,3,4,1,6,5]=>[8,2,3,4,7,6,1,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[5,1,7,3,8,4,6,2]=>[5,7,1,8,3,4,6,2]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[2,5,7,3,8,6,4,1]=>[7,5,8,2,6,3,4,1]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[7,6,1,3,5,8,4,2]=>[7,3,1,6,5,8,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[3,6,7,4,1,8,5,2]=>[6,7,3,8,4,5,1,2]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[5,6,3,7,4,8,1,2]=>[1,5,6,7,3,4,8,2]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[2,1,6,7,4,8,5,3]=>[6,7,8,2,1,4,5,3]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[2,1,8,7,4,3,6,5]=>[8,4,7,6,2,1,3,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[5,8,3,7,4,2,6,1]=>[5,3,8,4,7,2,6,1]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[3,8,7,4,1,2,6,5]=>[8,1,3,7,6,4,2,5]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[7,8,1,3,5,2,6,4]=>[5,3,1,7,8,6,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[5,8,7,3,2,6,1,4]=>[3,5,8,2,7,1,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[2,8,6,3,1,5,7,4]=>[6,2,8,5,3,1,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[8,1,6,3,2,5,4,7]=>[1,8,6,5,3,2,4,7]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[2,8,4,1,6,3,7,5]=>[8,2,6,4,7,1,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[4,8,1,2,7,6,3,5]=>[4,8,1,2,7,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[3,8,4,2,5,7,1,6]=>[3,4,2,8,5,1,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[6,8,3,5,2,7,4,1]=>[6,3,5,8,7,2,4,1]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[2,1,5,3,8,7,6,4]=>[8,7,5,6,2,1,3,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[6,5,3,2,8,7,1,4]=>[3,8,6,5,2,1,7,4]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[7,5,2,4,8,1,6,3]=>[5,2,7,4,8,1,6,3]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[3,4,2,8,5,7,6,1]=>[8,3,7,4,2,5,6,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[2,4,1,8,7,6,5,3]=>[8,7,6,4,2,5,1,3]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[8,4,2,1,7,5,3,6]=>[4,8,5,7,2,1,3,6]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[4,3,1,8,6,7,5,2]=>[8,4,6,3,7,1,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[3,1,4,8,6,5,7,2]=>[6,8,3,4,1,5,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[7,1,6,5,4,8,2,3]=>[1,7,6,5,2,4,8,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[3,7,5,6,8,4,2,1]=>[7,3,5,6,8,4,2,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[5,7,1,6,8,2,4,3]=>[5,1,7,6,2,8,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[8,6,2,5,1,7,4,3]=>[6,8,2,5,7,4,1,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[5,6,2,1,8,7,3,4]=>[2,8,5,6,7,1,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[4,6,2,5,8,3,7,1]=>[4,6,2,5,3,8,7,1]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[7,5,2,6,3,8,1,4]=>[2,5,7,6,3,1,8,4]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[4,1,2,3,6,8,7,5]=>[8,6,1,2,4,3,7,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[2,4,3,1,8,5,6,7]=>[4,2,8,3,1,5,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[7,5,2,8,3,4,6,1]=>[2,5,7,3,8,4,6,1]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[5,6,2,8,4,3,1,7]=>[5,6,4,8,2,3,1,7]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[4,7,2,8,1,5,3,6]=>[4,2,7,1,8,5,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[8,7,2,1,4,5,6,3]=>[4,2,1,8,7,5,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[3,6,8,7,1,5,4,2]=>[8,3,6,7,1,5,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[5,7,8,6,3,4,1,2]=>[1,3,7,5,8,6,4,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[7,1,8,5,4,3,6,2]=>[5,7,8,4,3,1,6,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[2,7,8,4,5,3,6,1]=>[2,7,4,5,8,3,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[5,7,3,8,1,4,6,2]=>[3,5,7,1,4,8,6,2]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[2,1,7,8,5,4,6,3]=>[7,2,8,5,1,4,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[2,1,5,8,4,6,3,7]=>[5,4,2,1,6,8,3,7]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[6,5,3,8,4,1,2,7]=>[1,6,5,3,8,4,2,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[7,5,8,4,3,6,2,1]=>[5,7,4,8,3,6,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[2,4,8,3,5,6,1,7]=>[4,2,3,5,6,8,1,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[4,1,8,3,6,5,2,7]=>[4,8,6,1,3,5,2,7]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[3,4,8,1,7,2,5,6]=>[3,4,1,2,8,5,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[8,4,1,3,7,2,6,5]=>[8,4,1,3,7,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[3,1,8,2,4,7,6,5]=>[8,7,3,1,2,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[2,3,8,1,4,6,7,5]=>[6,2,3,1,4,8,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[4,3,8,2,5,1,7,6]=>[8,4,3,2,5,7,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[6,3,8,4,2,5,7,1]=>[3,6,4,8,2,5,7,1]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[7,4,3,8,2,5,1,6]=>[4,3,7,2,5,8,1,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[2,1,4,8,3,5,7,6]=>[8,4,2,1,3,5,7,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[6,8,2,4,3,5,1,7]=>[2,6,4,3,8,5,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[4,8,2,3,5,1,6,7]=>[2,4,3,5,1,8,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[3,8,2,1,4,6,5,7]=>[3,8,2,1,6,4,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[2,8,1,3,4,5,7,6]=>[8,2,1,3,4,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[2,8,4,1,6,5,7,3]=>[8,2,6,4,5,1,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[2,8,7,6,1,4,3,5]=>[2,8,1,7,6,4,3,5]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[3,5,7,2,4,1,6,8]=>[3,2,5,4,7,1,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[7,5,8,2,4,1,6,3]=>[5,2,7,4,8,6,1,3]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[2,8,5,3,4,1,6,7]=>[2,5,3,8,4,1,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[2,8,5,3,6,1,7,4]=>[5,8,2,6,3,7,1,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[2,8,5,6,7,4,1,3]=>[2,5,1,8,6,7,4,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[3,5,7,2,4,6,1,8]=>[3,2,5,4,7,6,1,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[6,5,2,8,3,1,7,4]=>[6,5,8,2,7,3,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[6,5,2,8,3,1,4,7]=>[2,6,5,3,8,1,4,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[7,5,8,6,1,4,3,2]=>[7,8,1,5,6,4,3,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[3,5,7,2,4,6,8,1]=>[3,2,5,4,7,6,8,1]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[6,5,2,7,3,1,8,4]=>[6,5,7,8,2,3,1,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[4,1,2,3,7,6,8,5]=>[7,6,1,2,4,3,8,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[6,5,2,7,3,4,8,1]=>[2,6,5,7,3,4,8,1]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[6,5,2,8,3,7,4,1]=>[6,5,8,2,7,3,4,1]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[4,1,2,3,8,6,5,7]=>[6,8,1,2,4,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[4,1,2,3,8,6,7,5]=>[8,1,6,2,4,3,7,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[4,1,2,3,8,5,7,6]=>[8,1,7,2,4,3,5,6]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[7,1,6,8,4,3,5,2]=>[7,1,6,4,8,3,5,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[6,1,2,8,4,5,7,3]=>[6,1,4,2,8,5,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[5,6,8,2,3,1,7,4]=>[5,2,6,8,3,7,1,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[6,5,8,2,4,3,7,1]=>[6,2,5,4,8,3,7,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[7,5,2,8,3,4,1,6]=>[2,5,7,3,8,4,1,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[6,5,2,8,3,7,1,4]=>[2,6,5,3,8,1,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[6,5,2,7,3,4,1,8]=>[2,6,5,7,3,4,1,8]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[7,1,6,8,4,3,2,5]=>[1,7,6,8,4,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[4,1,8,3,6,5,7,2]=>[4,8,6,1,3,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[4,1,8,3,6,2,7,5]=>[8,4,1,6,3,7,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[3,1,4,8,6,2,7,5]=>[8,3,6,4,1,7,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[7,1,6,5,8,3,2,4]=>[1,7,6,5,3,8,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[4,1,6,7,8,3,2,5]=>[4,1,6,7,3,8,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[4,5,2,7,3,8,1,6]=>[4,5,2,7,3,1,8,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[3,5,6,2,4,8,7,1]=>[8,3,2,5,6,4,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[3,5,6,2,4,8,1,7]=>[3,2,5,6,4,1,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[3,7,5,6,8,4,1,2]=>[1,7,3,5,6,8,4,2]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[3,6,5,2,8,1,7,4]=>[6,5,3,8,2,1,7,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[6,1,2,5,8,4,7,3]=>[6,5,1,2,4,8,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[7,1,6,5,8,3,4,2]=>[7,1,6,3,5,8,4,2]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[4,1,2,3,5,8,7,6]=>[8,7,1,2,4,3,5,6]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[4,1,2,3,7,8,6,5]=>[7,8,1,2,4,3,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[4,1,6,7,8,3,5,2]=>[4,6,1,3,7,8,5,2]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[4,1,2,6,8,5,7,3]=>[6,4,1,5,2,8,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[4,1,2,5,6,8,7,3]=>[8,4,1,5,2,6,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[4,5,2,6,3,7,8,1]=>[4,5,6,2,3,7,8,1]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[7,8,4,2,1,5,3,6]=>[4,5,7,8,2,1,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[7,8,2,1,6,5,3,4]=>[2,7,8,1,6,5,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[2,4,8,1,5,7,3,6]=>[4,2,5,1,3,8,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[4,3,8,1,7,2,5,6]=>[4,3,1,2,8,5,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[6,3,1,4,7,2,5,8]=>[3,4,6,1,2,7,5,8]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[7,8,3,4,5,1,6,2]=>[3,4,5,7,8,6,1,2]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[7,8,3,5,4,2,1,6]=>[3,7,5,8,4,2,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[7,8,3,6,5,4,1,2]=>[1,7,8,3,6,5,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[7,8,2,1,5,3,4,6]=>[2,1,7,5,8,3,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[7,8,2,6,4,1,3,5]=>[2,1,7,4,8,6,3,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[7,8,2,5,6,4,1,3]=>[2,5,1,7,8,6,4,3]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[7,8,1,6,5,4,3,2]=>[7,8,6,5,1,4,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[2,1,8,7,5,4,3,6]=>[5,8,7,4,2,1,3,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[1,3,8,2,6,4,7,5]=>[8,3,6,1,2,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[5,3,7,1,6,4,8,2]=>[5,7,3,6,1,4,8,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[5,3,6,2,7,4,1,8]=>[5,6,3,7,2,4,1,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[6,1,2,5,8,7,4,3]=>[8,6,5,1,2,7,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[2,4,7,1,5,3,6,8]=>[4,2,1,7,5,3,6,8]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[2,1,7,5,6,8,4,3]=>[7,5,2,6,1,8,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[3,7,2,8,6,4,1,5]=>[3,7,8,2,6,4,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[3,8,1,7,6,4,5,2]=>[3,8,7,4,1,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[1,5,6,8,2,4,7,3]=>[5,1,6,2,4,8,7,3]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[2,6,1,4,7,3,5,8]=>[2,6,1,4,3,7,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[5,6,7,3,8,4,1,2]=>[1,5,6,7,8,3,4,2]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[5,2,8,1,4,7,3,6]=>[5,2,4,1,3,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[4,5,6,7,2,8,1,3]=>[2,4,5,6,7,1,8,3]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[1,5,8,6,2,7,3,4]=>[1,5,8,6,2,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[1,6,5,8,3,2,7,4]=>[6,5,8,1,7,3,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[4,6,5,7,1,2,8,3]=>[6,1,4,5,7,8,2,3]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[4,7,5,6,3,1,8,2]=>[4,7,5,6,3,8,1,2]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[5,1,6,3,4,2,8,7]=>[8,5,1,6,3,4,2,7]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[6,2,4,1,8,3,7,5]=>[6,8,2,4,1,7,3,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[6,2,3,5,4,8,1,7]=>[6,2,3,5,4,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[5,1,4,2,7,6,8,3]=>[7,5,4,1,6,2,8,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[1,6,2,4,7,8,3,5]=>[1,6,4,2,3,7,8,5]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[6,1,4,2,8,5,3,7]=>[6,4,8,1,5,2,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[5,8,7,6,3,4,1,2]=>[1,3,8,7,5,6,4,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[5,8,7,6,2,3,1,4]=>[2,3,8,7,5,6,1,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[4,8,2,1,5,6,3,7]=>[4,2,8,1,5,6,3,7]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[4,2,7,8,1,6,3,5]=>[4,2,7,1,3,8,6,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[2,1,8,7,6,5,3,4]=>[2,8,7,6,5,1,3,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[3,1,7,4,5,6,8,2]=>[3,7,1,4,5,6,8,2]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[4,3,7,5,6,8,1,2]=>[1,4,7,3,5,6,8,2]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[4,8,6,3,5,7,1,2]=>[1,4,3,8,6,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[4,8,1,2,5,3,7,6]=>[8,4,1,2,7,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[3,8,5,6,1,4,7,2]=>[3,5,1,8,6,4,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[5,3,7,8,2,1,6,4]=>[5,7,3,2,8,6,1,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[5,2,8,7,1,6,4,3]=>[5,8,7,6,2,1,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[1,6,8,7,5,2,4,3]=>[8,1,6,7,5,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[3,6,7,8,5,1,4,2]=>[3,6,7,1,8,5,4,2]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[3,7,6,8,5,2,1,4]=>[3,7,6,2,8,5,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[3,7,8,5,1,2,4,6]=>[1,3,2,7,5,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[4,1,8,6,2,3,5,7]=>[1,4,2,8,6,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[3,8,7,6,5,4,1,2]=>[1,8,7,6,5,3,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[2,1,7,6,5,3,4,8]=>[2,7,6,5,1,3,4,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[2,8,1,6,4,5,3,7]=>[2,8,4,1,6,5,3,7]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[2,8,7,5,1,4,3,6]=>[2,8,5,7,1,4,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[2,8,6,7,5,1,3,4]=>[2,1,8,3,6,7,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[6,3,1,2,7,4,8,5]=>[6,7,1,8,3,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[7,4,2,5,1,3,8,6]=>[7,2,4,8,1,5,3,6]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[7,5,3,6,1,8,2,4]=>[3,5,7,1,6,8,2,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[4,3,7,1,2,5,8,6]=>[7,1,4,3,2,8,5,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[3,6,2,7,1,4,8,5]=>[6,3,2,7,1,8,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[5,3,6,7,1,2,8,4]=>[5,1,6,3,7,8,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[3,7,5,1,2,4,8,6]=>[7,1,3,8,2,5,4,6]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[8,6,4,2,3,7,1,5]=>[2,4,6,8,3,1,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[4,7,6,3,8,1,2,5]=>[1,4,7,3,6,2,8,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[5,7,4,2,3,8,1,6]=>[2,5,4,7,3,1,8,6]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[3,7,6,1,4,8,2,5]=>[3,1,7,6,4,2,8,5]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[6,4,7,5,2,8,1,3]=>[2,6,7,4,5,1,8,3]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[5,8,2,6,3,7,1,4]=>[2,5,3,8,6,1,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[3,8,6,1,2,7,4,5]=>[1,8,3,2,6,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[3,8,6,2,4,7,1,5]=>[3,2,4,8,6,1,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[4,8,6,2,7,1,3,5]=>[2,4,1,8,6,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[7,3,8,5,6,1,2,4]=>[1,3,2,7,8,5,6,4]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[6,3,7,5,8,1,2,4]=>[1,3,6,7,2,5,8,4]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[2,6,5,8,1,3,4,7]=>[2,1,6,3,5,4,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[3,6,5,8,1,2,4,7]=>[1,3,6,2,5,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[5,4,6,7,2,8,1,3]=>[2,5,4,6,7,1,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[3,5,7,1,4,8,2,6]=>[3,5,1,4,7,2,8,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[5,3,7,2,4,8,1,6]=>[3,5,2,4,7,1,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[5,4,7,3,8,1,2,6]=>[1,5,4,3,7,2,8,6]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[7,4,6,3,8,1,2,5]=>[1,4,3,7,6,2,8,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[6,5,1,2,7,8,3,4]=>[1,6,2,5,7,3,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[5,3,6,4,7,8,1,2]=>[1,5,6,3,4,7,8,2]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[6,3,7,4,8,5,1,2]=>[1,6,7,8,3,4,5,2]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[7,5,1,2,8,6,3,4]=>[1,7,8,2,5,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[8,6,1,7,5,2,3,4]=>[1,2,6,8,7,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[5,7,2,8,1,6,3,4]=>[2,5,7,1,8,3,6,4]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[2,4,8,7,1,3,5,6]=>[2,1,4,8,3,5,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[4,3,8,7,1,2,5,6]=>[1,4,3,8,2,5,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[5,3,8,7,1,2,4,6]=>[1,3,5,8,2,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,4,7,6,1,2,3,5]=>[1,2,4,8,3,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[3,5,8,7,1,2,4,6]=>[1,3,2,8,5,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[2,5,8,7,1,3,4,6]=>[2,1,3,8,5,4,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[7,5,8,6,4,1,2,3]=>[1,2,7,8,5,6,4,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[2,8,7,6,1,3,4,5]=>[2,1,3,8,7,4,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[3,8,7,6,1,2,4,5]=>[1,3,2,8,7,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[7,5,3,8,2,1,6,4]=>[5,7,8,3,2,6,1,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[3,8,7,4,5,1,6,2]=>[3,4,8,7,5,6,1,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[5,7,3,8,1,2,6,4]=>[5,1,7,3,8,2,6,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[8,7,1,4,5,3,2,6]=>[4,1,8,5,7,3,2,6]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[2,7,8,4,1,6,5,3]=>[7,8,2,4,6,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[6,5,3,1,8,4,7,2]=>[6,5,3,8,4,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[6,4,3,8,1,5,7,2]=>[4,6,3,5,1,8,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[8,6,3,1,2,5,7,4]=>[6,1,3,8,5,2,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[8,7,1,4,2,6,5,3]=>[8,7,1,4,6,5,2,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[7,3,8,4,1,6,5,2]=>[7,3,8,6,4,5,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[2,3,4,5,6,7,8,1,9]=>[2,3,4,5,6,7,8,1,9]=>[[1,3,4,5,6,7,8,9],[2]]=>[2,7]
[2,3,5,6,7,8,9,1,4]=>[2,3,1,5,6,7,8,9,4]=>[[1,3,4,6,7,8,9],[2,5]]=>[2,3,4]
[3,4,5,6,7,8,9,1,2]=>[1,3,4,5,6,7,8,9,2]=>[[1,2,4,5,6,7,8,9],[3]]=>[3,6]
[2,3,4,5,6,7,8,9,10,1]=>[2,3,4,5,6,7,8,9,10,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[2,8]
[2,3,4,5,6,7,8,9,1,10]=>[2,3,4,5,6,7,8,9,1,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[2,8]
[2,3,4,5,6,7,1,8,9]=>[2,3,4,5,6,7,1,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>[2,7]
[2,3,4,5,6,7,8,10,1,9]=>[2,3,4,5,6,7,8,1,10,9]=>[[1,3,4,5,6,7,8,9],[2,10]]=>[2,8]
[2,3,4,5,6,1,9,7,8]=>[2,9,3,4,5,6,1,7,8]=>[[1,3,4,5,6,7,8],[2],[9]]=>[2,7]
[2,3,4,5,1,8,9,6,7]=>[2,8,3,4,5,1,6,9,7]=>[[1,3,4,5,6,7],[2,9],[8]]=>[2,6,1]
[2,3,5,6,7,8,9,10,1,4]=>[2,3,1,5,6,7,8,9,10,4]=>[[1,3,4,6,7,8,9,10],[2,5]]=>[2,3,5]
[1,4,5,6,7,8,9,2,3]=>[1,4,2,5,6,7,8,9,3]=>[[1,2,3,6,7,8,9],[4,5]]=>[4,5]
[3,4,5,6,7,8,9,10,1,2]=>[1,3,4,5,6,7,8,9,10,2]=>[[1,2,4,5,6,7,8,9,10],[3]]=>[3,7]
[3,6,4,5,7,2,8,1]=>[3,6,4,5,7,2,8,1]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[5,3,2,7,4,6,8,1]=>[5,3,7,2,4,6,8,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[7,5,3,6,2,4,8,1]=>[3,5,7,2,6,4,8,1]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[8,5,3,6,2,7,1,4]=>[3,5,2,8,6,1,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[8,2,6,3,4,7,1,5]=>[2,3,4,8,6,1,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[7,2,6,3,4,5,8,1]=>[2,3,7,4,6,5,8,1]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[6,2,7,3,4,5,8,1]=>[2,3,6,7,4,5,8,1]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[5,4,7,6,2,3,8,1]=>[2,7,5,4,6,3,8,1]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[6,7,3,5,2,4,8,1]=>[3,2,6,7,5,4,8,1]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[3,7,6,2,4,5,8,1]=>[3,2,7,4,6,5,8,1]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[2,7,6,3,4,5,8,1]=>[2,3,7,6,4,5,8,1]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[6,5,3,1,2,8,4,7]=>[6,1,5,3,8,2,4,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[8,6,5,2,3,7,1,4]=>[2,3,6,8,5,1,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[8,5,2,1,7,3,4,6]=>[2,5,1,8,7,3,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[7,5,2,1,8,3,4,6]=>[2,5,7,1,8,3,4,6]=>[[1,3,4,6],[2,5,7,8]]=>[2,3,2,1]
[1,6,3,2,8,4,5,7]=>[3,6,1,8,2,4,5,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[5,6,2,3,1,8,4,7]=>[5,2,6,3,8,1,4,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[5,4,8,6,2,7,1,3]=>[2,5,8,4,6,1,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[6,8,3,5,2,7,1,4]=>[3,2,6,5,8,1,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[7,8,5,2,3,6,1,4]=>[2,3,5,7,8,1,6,4]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[6,8,2,1,7,3,4,5]=>[2,1,6,8,3,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[1,8,6,3,7,2,4,5]=>[3,1,6,8,2,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[1,8,2,7,3,4,5,6]=>[1,2,3,8,4,7,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[2,8,1,7,3,4,5,6]=>[2,1,3,8,4,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[4,2,8,3,7,1,5,6]=>[4,2,3,1,8,5,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[4,1,7,5,8,2,3,6]=>[1,4,7,5,2,3,8,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[8,1,2,7,3,4,5,6]=>[1,2,3,8,4,5,7,6]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[3,6,2,7,1,8,4,5]=>[3,6,2,7,1,8,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[6,3,7,1,2,8,4,5]=>[1,6,3,7,2,8,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[7,2,6,1,8,3,4,5]=>[2,1,7,3,6,8,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[7,3,1,5,8,2,4,6]=>[3,1,5,7,2,4,8,6]=>[[1,2,4,6],[3,5,7,8]]=>[3,2,2,1]
[3,2,1,5,8,4,6,7]=>[5,3,2,1,4,6,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[5,4,1,3,6,8,2,7]=>[5,1,4,3,6,2,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[1,5,3,4,6,8,2,7]=>[5,1,3,4,6,2,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[4,3,5,1,6,8,2,7]=>[4,3,5,6,1,2,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[5,4,6,3,8,7,1,2]=>[1,8,5,4,6,3,7,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[3,6,4,5,8,7,1,2]=>[1,8,3,6,4,5,7,2]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[6,5,3,4,8,7,1,2]=>[1,8,3,6,5,4,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[5,3,2,8,7,1,4,6]=>[3,5,8,2,1,4,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[5,3,1,8,7,2,4,6]=>[3,5,8,1,2,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,5,3,7,6,1,2,4]=>[1,3,8,5,7,2,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[6,1,8,3,7,2,4,5]=>[1,3,6,8,2,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[6,3,8,1,7,2,4,5]=>[3,1,6,2,8,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[7,6,8,2,3,5,1,4]=>[2,3,1,7,6,8,5,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[3,7,8,2,4,6,1,5]=>[3,2,4,1,7,8,6,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[6,7,3,8,2,5,1,4]=>[3,2,6,7,1,8,5,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[5,4,7,8,2,6,1,3]=>[2,5,4,1,7,8,6,3]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[4,2,5,8,7,1,3,6]=>[2,4,8,1,5,3,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[3,6,2,8,7,1,4,5]=>[3,2,8,1,6,4,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[2,3,8,7,1,4,5,6]=>[2,3,1,8,4,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[7,2,8,6,1,3,4,5]=>[2,1,3,7,8,4,6,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[2,1,8,7,3,4,5,6]=>[2,1,3,8,7,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[8,2,7,6,1,3,4,5]=>[2,1,3,8,4,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[1,2,8,7,3,4,5,6]=>[1,2,3,8,7,4,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[1,3,8,7,2,4,5,6]=>[3,1,2,8,4,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[1,7,8,3,6,2,4,5]=>[1,3,7,2,4,8,6,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[4,1,5,8,7,2,3,6]=>[1,4,8,5,2,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[5,4,8,7,6,1,2,3]=>[1,2,8,7,5,4,6,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[6,8,3,7,5,1,2,4]=>[1,3,6,8,2,7,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[7,8,6,2,5,1,3,4]=>[2,1,3,7,8,6,5,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[8,1,6,7,3,2,4,5]=>[1,3,6,8,2,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[7,5,1,3,6,2,4,8]=>[1,5,3,7,2,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[7,5,8,3,6,2,4,1]=>[3,5,7,2,8,6,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[7,4,8,3,2,6,5,1]=>[7,4,8,3,6,2,5,1]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[8,1,4,3,2,6,5,7]=>[4,8,6,1,3,2,5,7]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[8,1,4,3,2,7,5,6]=>[4,8,1,7,3,2,5,6]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[8,1,5,4,6,7,2,3]=>[1,5,2,8,4,6,7,3]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[8,1,4,3,2,5,7,6]=>[8,4,1,7,3,2,5,6]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[8,1,4,3,2,5,6,7]=>[4,1,3,8,2,5,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[7,4,8,3,2,5,6,1]=>[4,3,7,2,8,5,6,1]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[6,4,3,8,2,5,7,1]=>[4,6,3,2,5,8,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[7,5,1,3,6,2,8,4]=>[5,7,1,6,3,8,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[7,5,1,4,6,8,2,3]=>[1,5,2,7,4,6,8,3]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[7,4,8,3,2,5,1,6]=>[4,3,7,2,8,5,1,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[5,4,3,2,8,6,1,7]=>[5,8,4,3,2,6,1,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[5,4,3,2,8,7,1,6]=>[5,8,4,3,2,1,7,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[6,5,3,8,7,2,1,4]=>[3,8,6,5,2,7,1,4]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[6,5,4,8,7,1,2,3]=>[1,2,8,6,5,4,7,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[6,4,3,1,2,7,8,5]=>[6,1,7,4,3,2,8,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[5,4,3,2,1,8,6,7]=>[5,8,4,3,2,1,6,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[7,4,1,3,2,8,6,5]=>[7,8,6,1,4,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[6,4,3,1,2,8,5,7]=>[6,1,4,8,3,2,5,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[6,5,3,8,7,2,4,1]=>[3,8,6,5,2,7,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[6,5,3,1,7,2,4,8]=>[3,6,5,1,7,2,4,8]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[6,5,3,1,8,2,4,7]=>[3,6,5,1,2,8,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[7,5,1,3,8,2,4,6]=>[1,3,7,5,2,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[7,6,1,8,3,2,4,5]=>[3,1,7,6,8,2,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[7,6,8,1,3,2,5,4]=>[7,1,6,3,8,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[6,5,3,7,8,2,4,1]=>[3,6,5,2,7,8,4,1]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[6,4,3,7,2,8,5,1]=>[6,7,4,3,8,2,5,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[7,4,8,3,2,1,5,6]=>[4,3,7,2,8,1,5,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[7,4,8,3,2,1,6,5]=>[7,4,8,3,6,2,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[7,5,8,4,1,6,2,3]=>[1,5,7,4,8,6,2,3]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[6,5,4,8,1,7,2,3]=>[1,6,5,4,8,2,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[6,5,3,8,1,2,7,4]=>[6,1,5,8,3,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[5,4,3,2,8,1,7,6]=>[8,5,4,3,2,1,7,6]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[6,5,3,7,1,2,8,4]=>[6,1,5,7,3,8,2,4]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[6,5,3,7,8,2,1,4]=>[3,6,5,2,7,8,1,4]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[5,4,3,2,7,8,1,6]=>[5,4,3,2,1,7,8,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[5,4,3,2,6,8,1,7]=>[5,4,3,2,6,1,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[5,8,2,7,4,1,3,6]=>[2,5,1,8,4,7,3,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[5,3,7,8,2,1,4,6]=>[3,5,2,1,7,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[2,1,7,8,4,3,5,6]=>[2,1,7,8,4,3,5,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[8,3,7,4,1,5,6,2]=>[3,4,8,7,1,5,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[7,8,1,2,5,4,6,3]=>[7,1,5,2,8,4,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[2,6,8,3,1,4,7,5]=>[6,2,8,3,1,7,4,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[8,4,1,3,7,6,2,5]=>[4,8,1,3,7,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[5,8,7,4,2,1,6,3]=>[5,8,4,7,6,2,1,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[4,7,2,8,1,3,6,5]=>[7,2,4,1,8,3,6,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[3,4,7,1,8,2,6,5]=>[7,3,4,1,8,6,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[1,8,2,4,3,5,6,7]=>[1,4,2,8,3,5,6,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[1,7,2,4,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>[4,2,2]
[1,5,2,4,3,6,7,8]=>[5,1,4,2,3,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[1,6,2,5,3,4,7,8]=>[1,6,2,5,3,4,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[1,7,2,5,3,4,6,8]=>[1,2,7,5,3,4,6,8]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[1,8,2,5,3,4,6,7]=>[1,2,5,8,3,4,6,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[1,8,2,6,3,4,5,7]=>[1,2,3,8,6,4,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[1,7,2,6,3,4,5,8]=>[1,2,7,3,6,4,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[1,8,2,7,3,5,4,6]=>[1,8,2,7,5,3,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[1,7,2,8,3,5,4,6]=>[1,7,5,8,2,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[1,6,2,8,3,5,4,7]=>[6,1,5,8,2,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[1,5,2,8,3,6,4,7]=>[5,1,8,6,2,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[1,4,2,8,3,6,5,7]=>[4,8,1,6,2,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[1,3,2,8,4,6,5,7]=>[3,8,6,1,2,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[1,2,3,8,4,6,5,7]=>[1,8,6,2,3,4,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[1,2,3,7,4,6,5,8]=>[7,1,6,2,3,4,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[1,3,2,7,4,6,5,8]=>[7,3,6,1,2,4,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[1,4,2,7,3,6,5,8]=>[7,4,1,6,2,3,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[1,5,2,7,3,6,4,8]=>[5,7,1,6,2,3,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[1,6,2,7,3,5,4,8]=>[6,1,7,5,2,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[1,7,2,6,3,5,4,8]=>[7,1,6,2,5,3,4,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[1,8,2,6,3,5,4,7]=>[1,8,6,2,5,3,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[1,7,2,5,3,6,4,8]=>[7,1,5,6,2,3,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[1,6,2,5,3,7,4,8]=>[6,5,1,7,2,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[1,5,2,4,3,7,6,8]=>[7,5,1,4,2,3,6,8]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,2,1]
[1,6,2,4,3,7,5,8]=>[6,7,1,4,2,3,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[1,7,2,4,3,6,5,8]=>[7,1,6,4,2,3,5,8]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[1,8,2,4,3,6,5,7]=>[1,8,6,4,2,3,5,7]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[1,7,2,3,4,6,5,8]=>[7,1,2,3,6,4,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[1,8,2,3,4,7,5,6]=>[1,8,2,3,4,7,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[1,8,2,4,3,7,5,6]=>[1,8,4,7,2,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[1,7,2,4,3,8,5,6]=>[1,7,8,4,2,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[1,6,2,4,3,8,5,7]=>[6,1,8,4,2,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[1,5,2,4,3,8,6,7]=>[5,8,1,4,2,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[1,6,2,5,3,8,4,7]=>[6,5,1,2,8,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[1,7,2,5,3,8,4,6]=>[5,7,1,2,8,3,4,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[1,8,2,5,3,7,4,6]=>[1,8,5,2,7,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[1,8,2,6,3,7,4,5]=>[1,8,2,6,7,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,7,2,6,3,8,4,5]=>[1,7,6,2,8,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[1,2,3,8,4,7,5,6]=>[1,8,2,7,3,4,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[1,3,2,8,4,7,5,6]=>[3,8,1,7,2,4,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[1,4,2,8,3,7,5,6]=>[4,8,1,2,7,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[1,5,2,8,3,7,4,6]=>[5,1,8,2,7,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[1,6,2,8,3,7,4,5]=>[1,6,8,2,7,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,7,2,8,3,6,4,5]=>[1,7,2,8,6,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[1,8,2,7,3,6,4,5]=>[1,8,2,7,3,6,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[4,6,3,7,2,5,1,8]=>[4,3,6,2,7,5,1,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[4,6,3,7,5,2,1,8]=>[6,4,7,3,5,2,1,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[4,6,3,8,5,1,7,2]=>[6,4,3,8,5,7,1,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[4,6,3,8,5,1,2,7]=>[1,6,4,3,8,5,2,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[5,6,8,3,4,1,2,7]=>[1,3,5,6,4,8,2,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[5,6,8,3,4,1,7,2]=>[3,5,6,4,8,7,1,2]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[4,6,2,7,5,3,1,8]=>[6,4,7,5,2,3,1,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[5,6,7,2,4,3,1,8]=>[5,2,6,7,4,3,1,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,6,8,4,3,1,7,2]=>[5,6,4,8,3,7,1,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[5,6,8,4,3,1,2,7]=>[1,5,6,4,8,3,2,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[5,7,8,4,1,6,2,3]=>[1,5,4,7,8,6,2,3]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[5,7,8,4,1,6,3,2]=>[5,4,7,8,6,3,1,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[5,7,8,4,1,3,6,2]=>[5,1,4,7,8,3,6,2]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[5,6,8,4,2,1,7,3]=>[5,6,4,8,7,2,1,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[5,6,8,2,4,1,7,3]=>[5,2,6,4,8,7,1,3]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[4,6,2,8,5,1,7,3]=>[6,4,8,2,5,7,1,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[3,2,6,8,5,1,7,4]=>[6,5,3,2,8,7,1,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[3,2,6,8,5,1,4,7]=>[3,6,2,1,5,8,4,7]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[4,6,2,8,5,1,3,7]=>[2,6,4,1,8,5,3,7]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[5,6,8,2,4,1,3,7]=>[2,1,5,6,4,8,3,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[5,6,8,4,2,1,3,7]=>[2,5,6,4,8,1,3,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[5,7,8,4,1,3,2,6]=>[5,1,4,7,8,3,2,6]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[5,7,8,4,1,2,6,3]=>[5,1,4,7,8,6,2,3]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[5,7,8,4,1,2,3,6]=>[1,2,5,4,7,8,3,6]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[6,7,8,1,5,2,3,4]=>[1,2,6,3,7,8,5,4]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[6,7,8,1,5,2,4,3]=>[6,1,7,2,8,5,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[6,7,8,1,5,3,2,4]=>[1,6,7,3,8,5,2,4]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[6,7,8,1,3,5,2,4]=>[3,1,2,6,7,8,5,4]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[5,7,8,2,1,6,3,4]=>[2,5,7,1,8,6,3,4]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[4,7,2,8,1,6,3,5]=>[4,2,7,1,8,3,6,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[3,2,7,8,1,6,4,5]=>[3,7,2,1,4,8,6,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[3,2,7,8,1,6,5,4]=>[7,8,3,2,1,6,5,4]=>[[1,4],[2,5],[3,6],[7,8]]=>[3,4,1]
[4,7,2,8,1,6,5,3]=>[7,4,8,2,6,1,5,3]=>[[1,3],[2,5],[4,6],[7,8]]=>[2,2,3,1]
[5,7,8,2,1,6,4,3]=>[5,7,8,2,6,4,1,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[6,7,8,1,3,5,4,2]=>[6,3,1,7,8,5,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[6,7,8,1,5,3,4,2]=>[6,1,3,7,8,5,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[6,7,8,1,5,4,3,2]=>[6,7,8,1,5,4,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[6,7,8,1,5,4,2,3]=>[1,6,7,2,8,5,4,3]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[6,7,8,1,4,5,2,3]=>[1,4,2,6,7,8,5,3]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[6,7,8,1,4,5,3,2]=>[4,6,1,7,8,5,3,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[6,7,8,1,4,3,5,2]=>[6,1,4,7,8,3,5,2]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[6,7,8,1,3,4,5,2]=>[3,1,4,6,7,8,5,2]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[5,7,8,2,1,4,6,3]=>[5,2,7,1,8,4,6,3]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[4,7,2,8,1,5,6,3]=>[4,7,2,1,5,8,6,3]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[3,2,7,8,1,5,6,4]=>[5,3,2,1,7,8,6,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[3,2,6,8,4,1,7,5]=>[6,8,3,2,4,7,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[4,6,2,8,3,1,7,5]=>[6,4,8,2,7,3,1,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[5,6,8,3,2,1,7,4]=>[5,6,8,3,7,2,1,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[5,7,8,3,1,4,6,2]=>[3,5,7,1,8,4,6,2]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[5,7,8,3,1,6,4,2]=>[5,7,3,8,6,4,1,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[5,7,8,3,1,6,2,4]=>[3,5,1,7,8,6,2,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[4,7,3,8,1,6,2,5]=>[4,3,1,7,8,2,6,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[4,7,3,8,1,6,5,2]=>[7,4,3,8,6,1,5,2]=>[[1,2],[3,5],[4,6],[7,8]]=>[4,3,1]
[4,7,3,8,1,5,6,2]=>[4,3,7,1,5,8,6,2]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[4,6,3,8,2,1,7,5]=>[6,4,8,3,2,7,1,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[4,5,3,2,8,1,7,6]=>[8,4,5,3,2,1,7,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[4,5,2,3,8,1,7,6]=>[8,2,4,5,3,1,7,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[3,2,5,4,8,1,7,6]=>[8,5,3,2,4,1,7,6]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[4,5,3,2,8,1,6,7]=>[4,5,3,2,1,6,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[4,6,3,8,2,1,5,7]=>[4,3,6,2,1,8,5,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[4,7,3,8,1,5,2,6]=>[4,3,1,7,8,5,2,6]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[4,7,3,8,1,2,6,5]=>[7,1,4,3,8,2,6,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[4,7,3,8,1,2,5,6]=>[1,4,3,2,7,5,8,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[5,7,8,3,1,2,4,6]=>[1,3,5,2,7,8,4,6]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[5,7,8,3,1,2,6,4]=>[5,1,7,3,8,6,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[5,7,8,3,1,4,2,6]=>[3,5,4,7,8,1,2,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[5,6,8,3,2,1,4,7]=>[3,5,6,2,8,1,4,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[3,2,7,8,1,5,4,6]=>[3,7,2,1,5,8,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[5,7,8,2,1,4,3,6]=>[5,2,4,7,8,1,3,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[6,7,8,1,3,4,2,5]=>[3,1,4,6,7,8,2,5]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[6,7,8,1,4,3,2,5]=>[1,6,7,4,8,3,2,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[6,7,8,1,4,2,5,3]=>[6,1,4,7,8,5,2,3]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[6,7,8,1,4,2,3,5]=>[1,2,6,4,7,8,3,5]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[6,7,8,1,2,5,3,4]=>[1,6,2,3,7,8,5,4]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[6,7,8,1,2,5,4,3]=>[6,7,1,2,8,5,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[6,7,8,1,2,4,5,3]=>[4,1,2,6,7,8,5,3]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[6,7,8,1,3,2,5,4]=>[6,1,7,3,8,5,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[5,7,8,2,1,3,6,4]=>[5,2,7,1,8,6,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[3,2,7,8,1,4,6,5]=>[7,3,2,1,4,8,6,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[6,7,8,1,3,2,4,5]=>[1,3,6,2,7,8,4,5]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[6,7,8,1,2,4,3,5]=>[1,6,2,4,7,8,3,5]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[6,7,8,1,2,3,5,4]=>[6,1,2,3,7,8,5,4]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[1,3,7,5,2,6,4,8]=>[7,3,5,1,6,2,4,8]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[1,3,7,5,4,2,6,8]=>[5,7,3,1,4,2,6,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[7,2,8,5,4,1,6,3]=>[5,7,8,4,2,6,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[2,8,4,5,6,1,7,3]=>[4,2,5,8,6,7,1,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[2,8,6,5,7,3,1,4]=>[2,6,8,5,3,7,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[2,8,4,3,5,6,1,7]=>[4,2,3,8,5,6,1,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[7,2,8,4,5,6,1,3]=>[2,1,4,7,8,5,6,3]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[6,2,3,8,5,1,7,4]=>[6,8,2,3,5,7,1,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[6,3,2,8,5,1,4,7]=>[3,6,2,8,1,5,4,7]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[7,4,8,2,5,6,3,1]=>[4,7,2,5,8,6,3,1]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[7,4,8,5,2,1,3,6]=>[2,4,7,8,5,1,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[6,4,8,5,1,3,7,2]=>[6,1,4,8,5,3,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[6,3,7,5,2,1,8,4]=>[6,7,5,3,8,2,1,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[4,3,7,5,1,2,8,6]=>[7,1,8,4,3,5,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[4,3,7,1,5,6,8,2]=>[4,3,5,1,7,6,8,2]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[3,6,1,7,5,2,8,4]=>[6,7,3,5,8,1,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[3,4,1,2,7,6,8,5]=>[7,6,1,3,4,2,8,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[3,4,2,1,7,5,8,6]=>[7,8,3,4,2,1,5,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[3,5,2,6,4,8,7,1]=>[8,5,3,6,2,4,7,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[5,3,1,8,6,4,7,2]=>[5,8,6,3,4,1,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[5,6,1,8,7,2,4,3]=>[8,1,5,6,7,4,2,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[6,3,5,8,2,7,4,1]=>[6,3,5,8,2,7,4,1]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[6,2,5,8,3,7,1,4]=>[2,6,3,5,1,8,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[1,5,2,7,4,6,3,8]=>[5,7,1,4,2,6,3,8]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[5,2,1,8,7,6,3,4]=>[2,8,7,5,6,1,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[2,3,4,8,6,1,7,5]=>[8,2,6,3,4,7,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[2,7,3,5,8,6,1,4]=>[2,7,3,8,1,5,6,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[3,6,4,7,8,2,5,1]=>[3,6,4,2,7,8,5,1]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[2,5,4,6,1,7,8,3]=>[5,4,2,6,7,1,8,3]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[6,7,3,2,5,4,8,1]=>[6,3,7,5,2,4,8,1]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[1,8,3,2,5,4,7,6]=>[8,3,7,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[1,8,4,5,2,3,7,6]=>[8,1,2,7,4,5,3,6]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[7,2,1,5,6,3,4,8]=>[2,7,1,3,5,6,4,8]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[7,3,6,1,5,4,2,8]=>[7,3,6,1,5,4,2,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[7,4,6,5,1,3,2,8]=>[7,1,4,6,5,3,2,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[6,4,7,5,1,3,8,2]=>[6,1,7,4,5,3,8,2]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[6,2,1,7,5,4,8,3]=>[6,7,5,4,2,1,8,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[2,3,8,1,5,4,7,6]=>[8,2,7,3,1,5,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[2,5,8,4,3,1,7,6]=>[8,5,2,7,4,3,1,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[2,6,8,4,3,7,1,5]=>[2,6,4,8,3,1,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[2,7,8,4,3,6,5,1]=>[7,2,8,6,4,3,5,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[1,8,7,4,3,6,5,2]=>[8,4,7,6,3,1,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[1,8,7,5,6,3,4,2]=>[8,1,3,7,5,6,4,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[2,6,8,5,7,3,1,4]=>[2,6,5,3,8,7,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[2,5,8,6,7,1,3,4]=>[2,1,3,8,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[2,4,8,6,1,7,3,5]=>[2,8,4,1,6,7,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[5,2,1,7,6,8,4,3]=>[7,5,6,8,2,1,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[5,3,7,1,6,8,4,2]=>[5,7,3,6,1,8,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[4,5,7,6,8,1,3,2]=>[7,1,4,5,6,8,3,2]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[1,8,5,6,7,2,3,4]=>[1,2,5,3,8,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[4,6,5,7,8,2,1,3]=>[2,6,4,5,7,8,1,3]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[5,4,6,7,1,8,2,3]=>[1,5,4,6,7,8,2,3]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[5,3,6,1,7,8,2,4]=>[3,5,1,6,7,2,8,4]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[5,2,1,6,7,8,3,4]=>[2,5,6,1,3,7,8,4]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[6,2,1,5,7,3,8,4]=>[6,5,2,7,1,8,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[6,4,5,7,1,2,8,3]=>[4,1,6,5,7,8,2,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[5,6,4,7,2,8,1,3]=>[2,5,6,4,7,1,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[1,8,4,6,2,7,3,5]=>[1,8,4,2,6,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[5,7,3,2,6,8,4,1]=>[5,7,3,6,2,8,4,1]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[5,6,3,2,7,8,1,4]=>[3,5,6,2,1,7,8,4]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[6,4,3,2,1,7,8,5]=>[6,7,4,3,2,1,8,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[6,2,1,4,3,7,8,5]=>[6,7,2,4,1,3,8,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[4,6,3,2,8,7,1,5]=>[4,8,3,6,2,1,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[1,8,3,2,7,6,5,4]=>[8,7,6,3,5,1,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[3,5,4,8,2,1,7,6]=>[8,5,3,4,2,7,1,6]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[4,3,6,1,8,7,2,5]=>[4,8,3,1,6,7,2,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[3,5,6,8,7,1,2,4]=>[1,3,8,2,5,6,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[1,8,6,7,5,4,2,3]=>[1,8,6,7,2,5,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[3,6,7,8,5,4,1,2]=>[1,6,7,3,8,5,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[3,5,7,8,6,1,4,2]=>[3,7,5,1,8,6,4,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[2,4,8,7,1,6,5,3]=>[8,7,2,4,6,1,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[2,5,8,7,6,1,4,3]=>[8,2,7,5,1,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[7,4,6,1,8,3,5,2]=>[4,7,1,6,8,3,5,2]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[4,6,2,1,7,5,8,3]=>[6,4,7,5,2,1,8,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[1,4,6,2,7,5,8,3]=>[6,4,7,1,5,2,8,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[1,7,5,2,6,8,4,3]=>[5,7,6,8,1,2,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[7,5,2,1,6,8,4,3]=>[5,7,6,8,2,1,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[6,8,4,3,1,7,5,2]=>[6,8,4,7,3,5,1,2]=>[[1,2],[3,5],[4,7],[6,8]]=>[4,2,2]
[7,5,6,1,8,3,4,2]=>[5,1,7,6,8,3,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[3,4,6,5,7,1,8,2]=>[6,3,4,5,7,8,1,2]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[4,7,5,6,1,8,3,2]=>[4,7,5,6,8,3,1,2]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[6,7,5,1,8,4,3,2]=>[6,7,5,8,4,3,1,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[6,8,4,1,7,5,3,2]=>[6,8,4,7,5,3,1,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[6,7,5,3,1,8,4,2]=>[6,7,5,8,3,4,1,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[1,8,4,2,6,7,5,3]=>[8,4,6,1,7,2,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[1,5,3,2,7,6,8,4]=>[7,5,6,3,1,2,8,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[2,8,4,1,6,7,5,3]=>[8,4,2,6,7,1,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[2,7,5,1,6,8,4,3]=>[7,5,2,6,8,1,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[4,8,2,6,5,7,1,3]=>[2,4,8,1,6,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[4,6,1,2,7,5,8,3]=>[6,4,1,7,5,2,8,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[7,5,1,2,6,8,4,3]=>[5,7,1,6,8,2,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[8,4,1,2,6,7,5,3]=>[8,4,1,6,2,7,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[5,3,1,2,7,6,8,4]=>[7,5,1,6,3,2,8,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[1,2,5,3,7,6,8,4]=>[7,5,6,1,2,3,8,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[4,3,1,2,7,6,8,5]=>[7,6,1,4,3,2,8,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[3,5,1,2,7,6,8,4]=>[7,5,1,3,6,2,8,4]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[6,7,1,5,8,2,3,4]=>[1,2,6,3,7,5,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[2,7,6,1,5,8,3,4]=>[2,7,1,6,3,5,8,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[7,6,1,5,8,3,2,4]=>[1,7,6,3,5,8,2,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[3,6,7,1,5,8,2,4]=>[3,1,6,2,7,5,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[7,5,1,6,8,4,2,3]=>[1,5,7,6,8,2,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[5,2,3,1,7,6,8,4]=>[7,5,2,6,3,1,8,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[8,3,1,5,7,6,2,4]=>[3,8,1,7,2,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[6,2,4,1,7,5,8,3]=>[6,7,2,4,5,1,8,3]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[6,2,5,1,7,4,8,3]=>[6,5,2,7,4,1,8,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[7,1,6,4,8,2,5,3]=>[7,1,6,4,8,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[8,2,6,4,7,1,5,3]=>[4,2,8,6,7,1,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[7,6,2,5,8,3,1,4]=>[2,7,3,6,5,8,1,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[1,5,2,3,7,6,8,4]=>[7,5,1,6,2,3,8,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[8,4,2,6,7,5,1,3]=>[2,8,4,1,6,7,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[6,1,4,2,7,5,8,3]=>[6,7,4,1,5,2,8,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[3,6,8,2,5,7,1,4]=>[3,2,1,6,5,8,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[8,3,2,5,7,6,1,4]=>[3,8,2,1,7,5,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[4,1,3,2,7,6,8,5]=>[7,6,4,1,3,2,8,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[1,4,2,3,7,6,8,5]=>[7,6,1,4,2,3,8,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[2,4,1,3,7,6,8,5]=>[7,6,2,1,4,3,8,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[2,8,3,5,7,6,1,4]=>[2,8,3,1,7,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[6,8,2,3,5,7,1,4]=>[2,3,1,6,5,8,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[6,7,1,3,5,8,2,4]=>[3,1,2,6,7,5,8,4]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[8,3,5,7,6,1,2,4]=>[1,3,8,2,5,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[3,1,2,4,7,6,8,5]=>[7,6,1,3,2,4,8,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[8,6,9,3,4,10,1,2,5,7]=>[1,3,4,6,8,2,9,5,10,7]=>[[1,2,4,5,7,9,10],[3,6,8]]=>[3,3,2,2]
[8,1,2,4,3,6,5,7]=>[1,8,6,2,4,3,5,7]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[2,7,8,3,4,5,6,1]=>[2,3,4,7,5,8,6,1]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[2,6,3,8,4,5,7,1]=>[2,6,3,8,4,5,7,1]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[6,3,2,1,4,5,8,7]=>[8,3,2,6,1,4,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[7,3,1,4,2,6,8,5]=>[7,3,4,6,1,2,8,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[7,4,1,5,6,8,2,3]=>[1,4,7,2,5,6,8,3]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[4,7,8,5,6,1,2,3]=>[1,2,4,7,5,8,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[3,7,8,5,6,2,1,4]=>[3,2,7,5,8,6,1,4]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[3,7,8,4,2,6,1,5]=>[3,4,7,2,8,1,6,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[3,7,8,2,4,5,1,6]=>[3,2,4,5,7,8,1,6]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[2,3,6,7,4,5,8,1]=>[2,6,3,4,7,5,8,1]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[3,5,4,2,8,7,1,6]=>[5,8,3,4,2,1,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[4,6,5,8,7,1,2,3]=>[1,2,8,6,4,5,7,3]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[7,4,1,2,3,8,5,6]=>[1,7,2,4,8,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[2,5,6,7,8,3,4,1]=>[2,5,3,6,7,8,4,1]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[4,2,6,7,3,1,5,8]=>[4,2,6,3,7,1,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[4,7,8,2,3,1,5,6]=>[2,4,3,1,7,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[4,7,8,3,2,1,6,5]=>[7,4,3,8,6,2,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[5,6,4,8,1,7,2,3]=>[1,5,6,4,8,2,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[5,6,3,8,1,2,7,4]=>[5,1,6,8,3,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[4,2,5,3,7,1,6,8]=>[4,5,2,3,1,7,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[3,4,2,5,6,8,1,7]=>[3,4,2,5,6,1,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[5,1,2,7,8,6,4,3]=>[7,5,8,1,6,2,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[4,7,1,8,6,5,2,3]=>[1,7,8,4,6,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[4,7,1,2,8,6,5,3]=>[7,8,4,1,6,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[4,6,8,1,2,7,5,3]=>[6,4,1,8,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[6,8,7,1,5,3,2,4]=>[1,8,6,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[6,8,7,3,5,1,2,4]=>[1,3,2,8,6,7,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[7,8,1,6,3,5,2,4]=>[1,7,3,2,8,6,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[7,8,1,3,6,5,2,4]=>[3,7,1,2,8,6,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[7,8,3,6,5,2,1,4]=>[3,7,2,8,6,5,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[4,7,2,8,6,1,5,3]=>[4,7,8,2,6,1,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[1,7,3,4,8,6,5,2]=>[7,8,6,1,3,4,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[4,2,7,1,8,6,5,3]=>[7,8,4,6,2,5,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>[2,2,3,1]
[8,5,7,1,6,2,3,4]=>[1,2,5,8,3,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[6,8,7,2,5,3,1,4]=>[2,8,3,6,7,5,1,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[6,2,4,8,7,1,5,3]=>[8,2,4,6,7,1,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[6,2,4,8,1,7,5,3]=>[6,8,2,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[6,8,7,2,3,5,1,4]=>[2,3,1,8,6,7,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[8,7,6,2,1,4,3,5]=>[2,8,4,7,6,1,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[8,5,7,2,3,1,6,4]=>[5,2,8,3,7,6,1,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[5,8,4,2,7,1,6,3]=>[5,4,8,2,7,1,6,3]=>[[1,3],[2,6],[4,7],[5,8]]=>[2,3,3]
[1,8,7,3,5,4,6,2]=>[8,1,5,7,3,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[8,2,5,4,7,1,6,3]=>[5,2,8,4,7,1,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[8,5,2,7,3,1,6,4]=>[5,8,2,7,6,3,1,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[8,7,6,2,4,3,1,5]=>[2,8,4,7,6,3,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[8,7,6,1,2,4,3,5]=>[1,8,2,4,7,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[5,8,4,7,2,1,6,3]=>[5,4,8,2,7,6,1,3]=>[[1,3],[2,6],[4,7],[5,8]]=>[2,3,3]
[1,8,7,5,4,3,6,2]=>[5,8,7,4,3,1,6,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[6,8,7,3,2,5,1,4]=>[3,2,8,6,7,1,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[6,8,1,7,3,2,5,4]=>[6,1,8,7,5,3,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[8,5,7,3,1,6,2,4]=>[3,5,1,8,7,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[8,5,7,1,3,2,6,4]=>[5,8,1,3,7,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[8,5,7,3,1,2,6,4]=>[5,1,8,3,7,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[5,8,4,1,7,2,6,3]=>[5,4,8,1,7,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[5,8,4,7,1,6,2,3]=>[1,5,4,8,2,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[8,1,2,6,5,7,4,3]=>[8,6,1,5,2,7,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[4,8,5,7,1,6,2,3]=>[1,4,5,8,7,2,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[4,8,5,1,7,2,6,3]=>[4,5,8,7,1,6,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[8,5,3,1,7,2,6,4]=>[5,8,3,7,1,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[8,5,3,7,1,2,6,4]=>[5,1,8,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[4,6,2,8,1,7,5,3]=>[6,4,8,7,2,1,5,3]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[1,6,4,8,3,7,5,2]=>[6,8,4,3,1,7,5,2]=>[[1,2],[3,5],[4,7],[6,8]]=>[4,2,2]
[4,8,5,7,2,1,6,3]=>[4,5,8,7,2,6,1,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[8,5,3,7,2,1,6,4]=>[5,8,3,7,2,6,1,4]=>[[1,4],[2,6],[3,7],[5,8]]=>[3,2,3]
[8,7,6,3,1,4,2,5]=>[3,4,8,7,6,1,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[8,7,6,1,3,2,4,5]=>[1,3,8,2,7,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,5,3,2,7,1,6,4]=>[5,8,3,7,2,1,6,4]=>[[1,4],[2,6],[3,7],[5,8]]=>[3,2,3]
[4,8,5,2,7,1,6,3]=>[4,5,8,7,2,1,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[1,8,7,4,3,5,6,2]=>[4,8,1,7,3,5,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[6,3,1,5,4,2,8,7]=>[8,6,3,5,4,1,2,7]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[8,3,1,5,2,7,6,4]=>[8,5,3,7,6,1,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[8,5,4,2,1,7,3,6]=>[5,4,8,2,7,1,3,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[8,5,4,2,1,7,6,3]=>[8,5,7,4,6,2,1,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[6,5,4,2,1,3,8,7]=>[8,2,6,5,4,1,3,7]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[6,5,4,2,3,1,8,7]=>[8,2,6,5,4,3,1,7]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[6,3,2,5,1,4,8,7]=>[8,3,2,6,1,5,4,7]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[6,5,4,3,1,2,8,7]=>[8,1,6,5,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[6,5,4,1,3,2,8,7]=>[8,6,1,5,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[8,5,4,1,2,7,6,3]=>[8,5,1,7,4,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[8,7,4,1,6,3,2,5]=>[4,3,8,7,6,1,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[8,7,4,1,6,3,5,2]=>[4,8,1,7,6,3,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[8,7,4,1,6,5,3,2]=>[8,4,7,6,5,3,1,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[8,5,4,1,3,7,6,2]=>[8,5,1,7,4,3,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[8,5,4,3,1,7,6,2]=>[8,5,7,4,3,6,1,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[8,3,2,5,1,7,6,4]=>[8,7,3,2,5,6,1,4]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[2,1,8,5,3,7,6,4]=>[8,5,7,6,2,1,3,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[8,3,2,5,1,7,4,6]=>[3,8,2,5,1,7,4,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[8,5,4,3,1,7,2,6]=>[5,4,8,3,1,7,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[8,5,4,1,3,7,2,6]=>[5,1,4,8,3,2,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[8,7,4,1,6,5,2,3]=>[1,8,4,7,6,5,2,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[8,7,4,1,6,2,5,3]=>[4,8,1,7,6,5,2,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[8,7,6,5,2,1,4,3]=>[8,2,7,6,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[8,7,4,3,6,2,1,5]=>[4,3,8,7,2,6,1,5]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[8,3,2,7,6,4,1,5]=>[3,8,7,2,6,4,1,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[2,1,8,7,6,4,3,5]=>[4,8,7,6,2,1,3,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[2,1,8,7,6,4,5,3]=>[8,2,7,6,4,1,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[8,3,2,7,6,4,5,1]=>[3,8,7,2,6,4,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[8,7,4,3,6,2,5,1]=>[4,3,8,7,2,6,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[8,7,6,5,2,4,3,1]=>[8,2,7,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>[2,6]
[8,5,4,2,3,7,6,1]=>[8,2,5,7,4,3,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[8,7,4,2,6,5,3,1]=>[8,4,7,6,5,2,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[8,7,4,2,6,3,5,1]=>[4,2,8,7,6,3,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[8,7,4,2,6,3,1,5]=>[4,2,8,7,6,3,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[8,3,1,7,6,4,2,5]=>[3,8,7,4,6,1,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[8,3,1,7,6,4,5,2]=>[3,8,7,6,1,4,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[8,3,1,7,6,5,4,2]=>[8,7,6,3,5,4,1,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[8,3,1,5,4,7,6,2]=>[8,3,7,5,4,1,6,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[8,3,1,5,4,7,2,6]=>[3,5,8,4,1,2,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[8,3,1,7,6,5,2,4]=>[3,8,7,1,6,5,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[8,3,1,7,6,2,5,4]=>[8,3,7,1,6,5,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[8,7,4,2,6,1,5,3]=>[4,8,2,7,6,1,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[8,7,4,2,6,5,1,3]=>[2,8,4,7,6,1,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[8,5,4,2,3,7,1,6]=>[2,5,4,8,3,1,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[8,3,2,5,4,7,1,6]=>[3,5,8,2,4,1,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[2,1,8,5,4,7,3,6]=>[5,4,8,2,1,3,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[8,3,2,7,6,5,1,4]=>[3,8,7,2,6,1,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[8,7,4,3,6,5,1,2]=>[1,8,4,7,6,3,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[8,7,6,5,3,1,4,2]=>[3,8,7,6,5,4,1,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[8,7,6,5,1,3,2,4]=>[1,8,3,7,6,5,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[8,7,6,5,1,3,4,2]=>[3,1,8,7,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[8,7,6,5,1,4,3,2]=>[8,7,1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[8]
[8,7,6,5,4,1,3,2]=>[8,1,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[8]
[8,7,4,3,6,1,5,2]=>[4,3,8,7,6,1,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[8,3,2,7,6,1,5,4]=>[8,3,7,2,6,1,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[2,1,8,7,6,3,5,4]=>[8,2,7,6,5,1,3,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[8,3,2,7,6,1,4,5]=>[3,2,8,1,7,4,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[8,7,6,5,1,4,2,3]=>[1,8,2,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[8,7,6,5,1,2,4,3]=>[8,1,2,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[7,3,5,1,8,4,6,2]=>[3,7,5,8,1,4,6,2]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[4,5,6,2,1,8,7,3]=>[8,4,5,6,7,2,1,3]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[7,6,5,1,8,4,3,2]=>[7,6,5,8,4,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[5,3,2,1,8,7,6,4]=>[8,7,5,6,3,2,1,4]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[2,6,4,1,7,8,5,3]=>[6,7,4,2,8,1,5,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[4,5,7,1,6,8,2,3]=>[1,4,5,7,2,6,8,3]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[6,4,1,2,8,5,3,7]=>[6,1,8,4,5,2,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[5,3,1,2,8,6,4,7]=>[5,8,1,6,3,2,4,7]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[7,1,3,4,8,2,5,6]=>[3,1,4,2,7,5,8,6]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,1]
[7,1,5,6,8,2,3,4]=>[1,2,5,3,7,6,8,4]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[7,4,1,6,8,5,2,3]=>[1,7,4,6,8,2,5,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[3,5,2,1,6,8,7,4]=>[8,5,3,6,2,1,7,4]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[1,6,2,5,7,3,4,8]=>[1,6,2,5,3,7,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[6,2,1,5,8,7,3,4]=>[2,8,6,1,5,3,7,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[6,2,4,1,8,5,7,3]=>[6,4,2,8,5,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[7,3,1,4,8,6,2,5]=>[3,7,4,8,1,2,6,5]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[6,2,1,4,8,7,3,5]=>[2,8,6,4,1,3,7,5]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[1,6,2,4,7,3,5,8]=>[1,6,4,2,3,7,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[5,2,1,3,8,7,4,6]=>[5,8,2,1,7,3,4,6]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[7,4,1,3,8,5,2,6]=>[1,7,8,4,3,5,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[7,5,1,3,8,4,2,6]=>[5,7,1,3,8,4,2,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[3,6,7,1,4,8,2,5]=>[3,1,6,4,7,2,8,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[7,6,1,4,8,3,2,5]=>[1,7,6,4,3,8,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[4,2,1,3,8,7,5,6]=>[2,8,7,4,1,3,5,6]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[2,6,1,4,7,8,3,5]=>[2,6,1,4,3,7,8,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[7,1,4,6,8,2,3,5]=>[1,4,2,3,7,6,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[7,1,3,5,8,2,4,6]=>[3,1,2,5,7,4,8,6]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[6,1,2,4,8,3,5,7]=>[1,6,2,4,3,5,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[7,4,5,2,3,1,8,6]=>[7,2,4,8,5,3,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[8,6,7,3,5,2,4,1]=>[3,2,6,8,7,5,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[6,3,5,2,4,1,8,7]=>[8,3,2,6,5,4,1,7]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[5,2,4,1,6,3,8,7]=>[8,5,2,4,6,1,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,1,6,3,5,2,8,7]=>[8,4,6,1,3,5,2,7]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[6,3,4,1,5,2,8,7]=>[8,3,4,6,5,1,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[5,2,7,3,4,1,8,6]=>[7,2,5,8,3,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[6,2,7,3,4,1,8,5]=>[6,2,7,8,3,4,1,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[3,1,7,4,5,2,8,6]=>[7,3,8,4,1,5,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[2,1,7,4,5,3,8,6]=>[7,8,2,4,1,5,3,6]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[3,1,8,6,7,4,5,2]=>[3,8,6,1,4,7,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[4,1,8,6,7,3,5,2]=>[4,8,1,6,3,7,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[8,6,7,3,4,1,5,2]=>[3,4,6,8,7,5,1,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[8,5,7,3,4,1,6,2]=>[3,5,4,8,7,6,1,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[8,5,6,2,7,3,4,1]=>[2,5,6,8,7,3,4,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[8,4,7,3,5,1,6,2]=>[4,3,5,8,7,6,1,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[3,1,8,5,7,4,6,2]=>[3,8,5,4,1,7,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[2,1,8,5,7,4,6,3]=>[8,2,5,4,1,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[5,1,7,3,6,2,8,4]=>[5,7,6,1,3,8,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[6,2,7,3,5,1,8,4]=>[6,2,7,5,3,8,1,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[6,2,8,4,7,3,5,1]=>[2,6,8,4,3,7,5,1]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[8,4,7,3,6,2,5,1]=>[4,3,2,8,7,6,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[7,3,6,2,5,1,8,4]=>[7,3,2,6,5,8,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[8,5,7,3,6,2,4,1]=>[3,5,2,8,7,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[8,5,7,4,6,2,3,1]=>[2,5,4,8,7,6,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[7,4,6,2,3,1,8,5]=>[7,2,4,6,8,3,1,5]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[6,2,3,1,7,4,8,5]=>[6,7,2,8,3,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[6,2,3,1,8,5,7,4]=>[6,8,2,3,5,1,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[7,4,8,5,6,2,3,1]=>[2,4,7,8,5,6,3,1]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[4,1,5,2,8,6,7,3]=>[4,8,5,6,1,2,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[2,1,6,3,8,5,7,4]=>[6,8,2,5,1,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[3,1,6,2,8,5,7,4]=>[6,8,3,1,5,2,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[5,1,6,2,8,4,7,3]=>[5,6,8,1,4,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[8,4,6,2,5,1,7,3]=>[4,6,2,8,5,7,1,3]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[5,1,8,4,6,2,7,3]=>[5,8,1,4,6,7,2,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[2,1,7,4,8,5,6,3]=>[7,2,8,4,1,5,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[3,1,7,4,8,5,6,2]=>[3,7,8,4,1,5,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[4,1,7,3,8,5,6,2]=>[4,7,8,1,3,5,6,2]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[7,3,8,4,5,1,6,2]=>[3,4,7,8,5,6,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[8,4,5,1,7,3,6,2]=>[4,5,8,1,7,3,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[7,3,6,2,8,4,5,1]=>[3,7,2,6,8,4,5,1]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[7,8,5,6,1,3,4,2]=>[3,1,5,7,8,6,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[7,8,1,3,6,2,5,4]=>[7,3,1,2,8,6,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[1,3,8,4,7,2,5,6]=>[1,3,8,4,2,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[4,6,1,2,5,7,3,8]=>[4,1,6,2,5,7,3,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[1,4,8,2,5,7,3,6]=>[4,5,1,2,3,8,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[7,8,2,4,5,6,1,3]=>[2,1,4,5,7,8,6,3]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[7,8,1,5,4,6,3,2]=>[7,5,1,8,4,6,3,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[7,8,2,1,6,3,4,5]=>[2,1,7,3,8,6,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[7,8,3,5,6,4,1,2]=>[1,5,3,7,8,6,4,2]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[1,5,8,4,3,2,7,6]=>[8,5,4,7,1,3,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[5,6,1,4,3,2,7,8]=>[5,6,1,4,3,2,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[1,4,6,8,3,7,5,2]=>[6,4,8,1,3,7,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[2,5,8,1,4,7,6,3]=>[8,5,2,1,4,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[3,5,8,4,7,6,1,2]=>[1,8,5,3,4,7,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[1,6,2,4,7,3,8,5]=>[6,7,1,4,2,8,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[5,6,2,1,4,7,8,3]=>[5,2,6,4,1,7,8,3]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[7,5,3,6,2,4,1,8]=>[3,5,7,2,6,4,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[5,3,6,7,2,1,8,4]=>[5,6,3,7,8,2,1,4]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[6,1,7,5,2,4,8,3]=>[6,1,7,5,4,2,8,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[4,6,7,8,3,5,1,2]=>[1,4,3,6,7,8,5,2]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[1,6,7,5,8,2,4,3]=>[6,1,7,5,2,8,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[3,5,6,7,8,1,4,2]=>[3,5,1,6,7,8,4,2]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[3,6,5,7,8,2,1,4]=>[3,6,2,5,7,8,1,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[2,5,7,6,8,1,3,4]=>[2,1,7,3,5,6,8,4]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[2,7,1,8,5,3,4,6]=>[2,1,7,8,5,3,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[3,7,6,8,5,4,1,2]=>[1,7,6,8,3,5,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[4,3,8,5,6,7,1,2]=>[1,4,3,8,5,6,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[3,4,2,8,6,1,7,5]=>[8,3,6,4,2,7,1,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[3,4,7,1,5,2,6,8]=>[3,4,1,7,5,2,6,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[4,1,8,3,6,2,5,7]=>[4,1,3,8,2,6,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[5,7,8,6,1,3,4,2]=>[3,1,7,5,8,6,4,2]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[7,6,5,8,1,3,4,2]=>[3,1,7,6,5,8,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[2,6,3,4,5,8,1,7]=>[2,3,6,4,5,1,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[2,6,4,1,8,3,7,5]=>[6,8,4,2,1,7,3,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[7,3,6,4,8,5,1,2]=>[1,7,6,3,8,4,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[7,1,6,5,3,8,4,2]=>[7,6,5,8,1,3,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[6,5,2,7,1,8,4,3]=>[6,5,7,8,2,4,1,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[5,7,6,4,1,8,3,2]=>[7,5,6,4,8,3,1,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[6,7,1,5,2,8,3,4]=>[1,6,7,2,5,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[6,1,5,2,8,3,4,7]=>[1,6,5,2,3,8,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[6,7,5,3,8,4,1,2]=>[1,6,7,5,8,3,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[7,6,1,5,3,2,8,4]=>[7,6,5,1,8,3,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[7,1,4,2,5,3,6,8]=>[1,7,4,5,2,3,6,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[1,6,4,2,5,7,3,8]=>[4,6,5,1,2,7,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[6,8,1,3,7,5,4,2]=>[6,8,7,1,3,5,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[7,1,3,5,6,4,2,8]=>[5,3,1,7,6,4,2,8]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[7,3,1,6,4,5,2,8]=>[3,7,6,1,4,5,2,8]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[7,2,4,1,5,3,6,8]=>[4,2,5,7,1,3,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[6,8,1,2,3,4,7,5]=>[6,1,2,3,8,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[2,5,1,7,8,3,6,4]=>[5,7,2,1,8,3,6,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[2,4,7,6,8,5,1,3]=>[2,7,6,1,4,8,5,3]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[5,2,1,8,6,3,7,4]=>[5,8,6,7,2,1,3,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[4,2,8,5,7,6,3,1]=>[8,4,7,5,2,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[4,1,8,6,7,5,3,2]=>[8,4,6,7,5,1,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[5,3,8,7,6,2,4,1]=>[3,8,7,5,2,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[5,8,4,7,6,2,1,3]=>[2,8,5,4,7,6,1,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[5,8,7,4,3,6,1,2]=>[1,5,8,4,7,3,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[6,3,8,7,2,5,1,4]=>[3,2,8,6,1,7,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[5,8,3,7,1,6,4,2]=>[5,8,3,7,1,6,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[5,1,3,8,6,7,2,4]=>[1,8,3,5,2,6,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[1,5,3,7,8,6,2,4]=>[3,7,5,1,2,8,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[5,8,7,4,1,6,2,3]=>[1,5,8,4,7,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[6,4,8,1,2,7,3,5]=>[1,6,4,2,8,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[6,8,5,1,2,3,7,4]=>[6,1,2,5,8,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[6,8,5,2,4,3,7,1]=>[6,2,5,8,4,3,7,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[6,8,5,3,1,2,7,4]=>[6,1,5,8,7,3,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[4,5,1,2,7,6,3,8]=>[7,4,1,5,6,2,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[4,5,1,2,6,8,7,3]=>[8,4,1,5,6,2,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[3,5,6,1,8,4,7,2]=>[5,3,6,8,1,4,7,2]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[3,5,7,1,2,8,6,4]=>[7,5,1,3,8,6,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[4,2,6,1,7,3,5,8]=>[4,2,6,1,7,3,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[4,2,5,7,1,6,3,8]=>[4,5,2,7,1,6,3,8]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[3,5,2,7,8,1,6,4]=>[5,3,7,2,1,8,6,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[3,1,4,7,5,6,2,8]=>[3,7,4,1,5,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[3,1,4,5,8,6,7,2]=>[3,8,4,1,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[3,4,6,8,5,2,7,1]=>[6,3,4,5,8,2,7,1]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[3,5,6,2,8,4,7,1]=>[5,3,6,2,8,4,7,1]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[2,1,7,5,8,6,4,3]=>[7,8,5,6,2,1,4,3]=>[[1,3],[2,4],[5,6],[7,8]]=>[2,3,2,1]
[1,2,7,5,3,8,6,4]=>[7,8,5,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[4,1,2,7,3,8,6,5]=>[7,8,4,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[3,1,2,6,8,5,4,7]=>[6,1,8,3,2,5,4,7]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[3,7,1,2,5,4,8,6]=>[7,8,1,3,2,5,4,6]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[1,3,7,2,4,8,6,5]=>[7,8,3,1,2,6,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[2,4,1,7,8,6,5,3]=>[7,8,4,2,6,1,5,3]=>[[1,3],[2,5],[4,6],[7,8]]=>[2,2,3,1]
[3,4,7,5,1,8,6,2]=>[7,8,3,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[2,7,4,1,5,8,6,3]=>[7,8,2,4,5,1,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[2,3,7,1,5,8,6,4]=>[7,8,2,3,1,5,6,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[5,2,8,1,3,7,4,6]=>[5,2,1,8,3,4,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[2,1,6,8,3,4,7,5]=>[6,2,8,1,3,4,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[2,6,8,3,1,5,7,4]=>[6,2,8,3,1,5,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[2,8,6,4,1,5,7,3]=>[6,2,8,4,5,1,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[3,6,4,8,5,1,7,2]=>[6,3,8,4,5,7,1,2]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[6,3,7,4,5,1,8,2]=>[3,6,7,4,5,8,1,2]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[2,6,3,7,5,8,1,4]=>[2,6,7,3,1,5,8,4]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[5,2,1,7,8,3,4,6]=>[2,5,1,7,3,4,8,6]=>[[1,3,4,6],[2,5,7,8]]=>[2,3,2,1]
[5,7,4,6,2,8,1,3]=>[2,5,4,7,6,1,8,3]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[5,7,3,4,6,1,8,2]=>[3,5,4,7,6,8,1,2]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[5,3,8,4,6,1,7,2]=>[5,3,4,8,6,7,1,2]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[8,5,2,4,1,6,7,3]=>[5,2,4,8,6,1,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[8,2,3,5,1,6,7,4]=>[5,2,3,8,1,6,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[4,2,8,3,6,7,1,5]=>[4,2,3,1,8,6,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[2,4,8,1,7,3,5,6]=>[4,2,1,3,8,5,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[8,4,1,3,6,2,5,7]=>[4,1,3,2,8,6,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[4,8,3,1,7,2,5,6]=>[4,3,1,2,8,7,5,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[5,2,8,4,7,1,6,3]=>[5,4,2,8,7,1,6,3]=>[[1,3],[2,6],[4,7],[5,8]]=>[2,3,3]
[5,8,4,7,3,1,6,2]=>[5,4,3,8,7,6,1,2]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,3]
[4,6,8,3,1,7,5,2]=>[6,4,8,3,7,5,1,2]=>[[1,2],[3,5],[4,7],[6,8]]=>[4,2,2]
[6,3,8,2,7,1,5,4]=>[6,3,8,2,1,7,5,4]=>[[1,4],[2,5],[3,7],[6,8]]=>[3,3,2]
[6,3,1,8,2,4,7,5]=>[6,3,8,1,2,7,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[5,3,8,1,2,6,4,7]=>[5,1,3,8,2,6,4,7]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[5,7,4,1,6,2,3,8]=>[1,5,4,7,6,2,3,8]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[8,5,4,1,2,6,3,7]=>[5,1,4,8,6,2,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[5,1,8,4,2,7,3,6]=>[5,4,1,8,7,2,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[1,6,2,8,5,3,7,4]=>[6,5,8,7,1,2,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[6,8,5,3,1,7,4,2]=>[6,5,8,7,3,4,1,2]=>[[1,2],[3,4],[5,7],[6,8]]=>[3,3,2]
[8,4,5,1,2,6,3,7]=>[4,1,5,6,8,2,3,7]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[5,6,3,7,1,2,4,8]=>[1,3,5,6,2,7,4,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[1,6,3,7,2,8,4,5]=>[3,6,7,1,2,8,4,5]=>[[1,2,4,5],[3,6,7,8]]=>[3,3,2]
[6,3,2,7,8,5,1,4]=>[3,6,7,2,1,8,5,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[4,5,7,8,3,1,6,2]=>[4,5,3,7,8,6,1,2]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[4,7,2,5,8,1,6,3]=>[4,5,2,7,8,1,6,3]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[8,1,3,4,6,2,5,7]=>[3,1,4,2,6,8,5,7]=>[[1,2,5,7],[3,4,6,8]]=>[3,3,2]
[3,8,2,4,6,7,1,5]=>[3,2,4,1,6,8,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[3,5,6,8,2,7,1,4]=>[3,2,5,6,1,8,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[2,4,5,6,8,1,7,3]=>[4,2,5,6,8,1,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[4,8,3,5,6,1,7,2]=>[4,3,5,6,8,7,1,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[5,6,2,3,7,8,1,4]=>[2,3,5,6,1,7,8,4]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[5,8,7,3,4,1,2,6]=>[1,3,5,8,4,7,2,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[6,8,4,7,2,5,3,1]=>[4,6,8,2,7,5,3,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[5,4,8,7,2,6,3,1]=>[5,8,4,7,2,6,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[3,8,4,7,5,1,2,6]=>[1,3,8,4,7,5,2,6]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[3,4,8,7,6,1,2,5]=>[1,3,8,7,4,2,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[3,5,8,7,6,1,2,4]=>[1,3,8,7,2,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[4,5,8,7,6,1,2,3]=>[1,2,8,7,4,5,6,3]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[4,5,8,7,2,6,3,1]=>[4,8,5,7,2,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[3,5,8,2,7,6,4,1]=>[8,5,3,7,2,6,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[3,5,8,1,7,6,4,2]=>[8,5,3,7,6,1,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[2,5,8,1,7,6,4,3]=>[8,5,7,2,6,1,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[1,8,4,7,2,5,3,6]=>[1,8,4,2,7,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[1,4,8,7,2,6,3,5]=>[4,1,8,7,2,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[1,5,8,7,2,6,3,4]=>[1,5,8,7,2,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[1,5,8,2,7,6,4,3]=>[8,5,7,6,1,2,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[2,5,8,3,7,6,4,1]=>[8,5,7,2,3,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[1,3,8,2,7,6,4,5]=>[3,8,7,1,2,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[1,8,3,2,7,5,4,6]=>[3,8,7,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[8,1,3,2,6,5,4,7]=>[6,8,1,5,3,2,4,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[8,2,3,1,6,5,4,7]=>[6,8,2,3,5,1,4,7]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[2,8,3,1,7,5,4,6]=>[2,8,7,5,3,1,4,6]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[2,3,8,1,7,6,4,5]=>[2,8,7,3,1,4,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[3,4,1,8,7,6,5,2]=>[8,7,6,3,4,5,1,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[4,2,1,8,7,6,5,3]=>[8,7,6,4,5,2,1,3]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[8,4,2,6,1,5,3,7]=>[4,2,8,6,1,5,3,7]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[4,2,8,7,1,6,3,5]=>[4,2,8,7,1,3,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[5,2,8,7,1,6,3,4]=>[2,5,8,7,1,3,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[5,2,8,1,7,6,4,3]=>[8,5,7,6,2,1,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[5,3,8,1,7,6,4,2]=>[8,5,7,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[6,8,3,2,7,5,4,1]=>[6,8,7,3,5,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[6,8,2,1,7,5,4,3]=>[6,8,7,5,2,4,1,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[6,8,2,7,1,5,3,4]=>[2,6,1,8,3,7,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[6,8,7,2,1,4,3,5]=>[2,8,4,6,7,1,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[8,5,6,1,2,4,3,7]=>[5,1,2,6,8,4,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[5,8,7,1,2,4,3,6]=>[1,8,2,5,4,7,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[6,8,2,3,7,5,4,1]=>[6,8,2,7,3,5,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[5,2,8,3,7,6,4,1]=>[8,5,7,2,6,3,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[5,1,8,7,2,6,3,4]=>[1,5,8,7,2,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[4,1,8,7,2,6,3,5]=>[4,1,8,7,2,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[4,8,1,7,2,5,3,6]=>[4,1,8,2,7,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[3,8,1,2,7,5,4,6]=>[1,8,7,3,2,5,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[3,1,2,8,7,6,5,4]=>[8,7,6,5,1,3,2,4]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[3,1,4,8,7,6,5,2]=>[8,7,6,3,4,1,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[2,1,8,3,7,6,4,5]=>[2,8,7,1,6,3,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,2,1,3,6,5,4,7]=>[6,8,2,1,5,3,4,7]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[1,8,2,3,7,5,4,6]=>[1,8,7,2,5,3,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[1,2,8,3,7,6,4,5]=>[1,8,7,2,6,3,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[1,4,3,6,8,2,5,7]=>[4,3,1,2,6,5,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[3,1,6,2,5,8,4,7]=>[6,3,1,5,2,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[3,5,1,8,2,4,7,6]=>[8,3,1,5,2,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[1,4,5,2,8,3,7,6]=>[8,4,5,1,2,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[1,4,2,6,5,8,3,7]=>[6,4,5,1,2,3,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[1,5,4,2,6,8,3,7]=>[5,4,6,1,2,3,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[3,1,6,5,8,2,4,7]=>[3,6,1,5,2,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[1,5,2,6,4,8,3,7]=>[5,6,4,1,2,3,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[1,2,6,5,4,8,3,7]=>[6,5,4,1,2,3,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[1,2,5,4,7,3,8,6]=>[7,5,4,1,2,8,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[4,1,2,6,3,8,7,5]=>[8,6,4,1,7,2,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[7,1,5,4,2,8,3,6]=>[5,7,4,1,2,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[1,4,7,5,2,8,3,6]=>[4,7,5,1,2,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[7,1,3,5,2,8,4,6]=>[3,7,1,5,2,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[7,2,5,1,8,3,4,6]=>[2,1,7,5,3,8,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[1,4,5,2,8,7,3,6]=>[4,8,5,1,2,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[1,6,4,2,8,3,7,5]=>[6,8,4,1,7,2,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[1,4,2,8,3,7,6,5]=>[8,7,4,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[1,2,5,3,8,7,6,4]=>[8,7,5,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[1,2,8,6,5,3,7,4]=>[6,8,5,7,1,2,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[1,5,2,8,6,3,7,4]=>[5,8,6,7,1,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[1,6,4,2,8,7,3,5]=>[4,8,6,1,7,2,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[6,2,1,8,7,3,4,5]=>[2,1,8,6,7,3,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[7,3,1,6,2,8,4,5]=>[3,7,1,6,8,2,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[1,7,6,4,2,8,3,5]=>[4,7,6,1,8,2,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[1,7,5,2,6,3,8,4]=>[5,7,6,8,1,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[1,6,2,7,5,3,8,4]=>[6,7,5,8,1,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[1,2,7,6,5,3,8,4]=>[7,6,5,8,1,2,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,2,6,5,3,8,7,4]=>[8,6,5,7,1,2,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,5,2,6,3,8,7,4]=>[8,5,6,7,1,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[1,5,2,7,6,3,8,4]=>[7,5,6,8,1,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[1,6,5,2,7,3,8,4]=>[6,5,7,8,1,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[1,5,7,4,2,8,3,6]=>[5,4,7,1,2,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[4,1,2,8,6,3,7,5]=>[8,4,6,1,7,2,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[4,3,7,1,8,2,5,6]=>[4,3,1,2,7,8,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[8,3,1,6,2,4,7,5]=>[6,3,1,8,7,2,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[1,4,2,8,7,3,6,5]=>[8,4,7,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[1,7,4,2,8,3,6,5]=>[7,4,8,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[8,1,5,4,2,7,3,6]=>[5,4,8,1,2,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[1,4,8,5,2,7,3,6]=>[4,5,8,1,2,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[8,5,3,1,7,2,4,6]=>[3,5,1,8,2,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[1,8,6,4,2,7,3,5]=>[4,6,8,1,7,2,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[1,8,5,2,6,3,7,4]=>[5,6,8,7,1,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[1,5,2,7,3,8,6,4]=>[7,5,8,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[1,2,8,5,3,7,6,4]=>[8,5,7,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[1,2,6,3,8,7,5,4]=>[8,6,7,5,1,2,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,2,7,6,3,8,5,4]=>[7,6,8,5,1,2,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,6,2,7,3,8,5,4]=>[6,7,8,5,1,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[1,7,2,8,5,3,6,4]=>[5,7,8,6,1,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[1,7,4,2,8,6,3,5]=>[4,7,8,1,6,2,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[7,1,8,3,2,6,4,5]=>[3,7,1,8,6,2,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[7,2,1,8,6,3,4,5]=>[2,1,7,8,6,3,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[1,8,7,3,2,6,4,5]=>[3,8,1,7,6,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[1,4,2,8,7,6,3,5]=>[4,8,7,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[1,2,8,7,5,3,6,4]=>[5,8,7,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[1,2,8,6,3,7,5,4]=>[6,8,7,5,1,2,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,2,7,3,8,6,5,4]=>[7,8,6,5,1,2,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[5,1,8,7,6,2,4,3]=>[8,1,7,5,6,4,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[5,7,8,6,2,4,1,3]=>[2,1,7,5,8,6,4,3]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[6,4,1,5,2,7,3,8]=>[4,6,5,7,1,2,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[8,1,4,5,3,7,6,2]=>[8,4,5,1,7,3,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[6,1,4,8,3,5,7,2]=>[6,1,4,3,5,8,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[6,3,5,7,2,1,4,8]=>[3,2,6,5,7,1,4,8]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[6,3,5,8,2,1,7,4]=>[6,3,5,8,2,7,1,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[6,3,5,7,2,1,8,4]=>[6,3,5,7,8,2,1,4]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[8,4,5,7,3,6,1,2]=>[1,4,5,3,8,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[5,8,7,6,2,4,1,3]=>[2,1,8,7,5,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[5,4,8,6,3,1,7,2]=>[5,8,4,6,3,7,1,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[5,4,1,8,2,3,7,6]=>[8,1,5,4,2,7,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[5,8,1,6,2,4,3,7]=>[5,1,6,8,2,4,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[8,4,1,5,2,6,3,7]=>[4,5,6,8,1,2,3,7]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[6,3,5,8,2,1,4,7]=>[3,2,6,5,1,8,4,7]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[2,3,4,1,8,6,5,7]=>[6,8,2,3,4,1,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[8,3,5,6,2,1,4,7]=>[3,2,5,6,8,1,4,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[8,3,5,7,2,1,6,4]=>[5,3,8,2,7,6,1,4]=>[[1,4],[2,6],[3,7],[5,8]]=>[3,2,3]
[2,3,8,5,6,1,7,4]=>[8,2,3,5,6,7,1,4]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[7,3,5,6,2,8,1,4]=>[3,2,5,7,6,1,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[7,3,5,8,2,1,6,4]=>[5,3,7,8,2,6,1,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[7,3,5,6,2,1,4,8]=>[3,2,5,7,6,1,4,8]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[2,7,6,8,1,3,5,4]=>[7,2,1,6,3,8,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[2,7,6,5,8,3,1,4]=>[2,7,6,5,3,8,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[2,6,4,1,8,5,7,3]=>[6,8,2,4,5,1,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[2,6,1,3,8,5,7,4]=>[6,8,2,1,3,5,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[2,7,6,8,4,3,1,5]=>[2,7,6,8,4,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[2,7,6,1,8,3,4,5]=>[2,1,7,6,3,8,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[7,3,5,1,2,8,4,6]=>[1,7,3,5,2,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[8,4,1,5,2,3,7,6]=>[8,1,4,5,7,2,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[7,8,1,6,3,4,2,5]=>[1,7,3,4,8,6,2,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[2,3,8,6,4,1,7,5]=>[6,8,7,2,3,4,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[2,8,6,7,4,3,1,5]=>[2,8,6,4,7,3,1,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[8,3,5,7,2,4,1,6]=>[3,2,5,4,8,7,1,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[2,3,4,1,8,7,5,6]=>[2,8,7,3,4,1,5,6]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[2,8,6,1,7,3,4,5]=>[2,1,8,3,6,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[2,3,8,1,6,4,7,5]=>[8,2,6,3,1,7,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[2,3,8,1,4,5,7,6]=>[8,2,3,1,4,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[2,8,6,1,4,3,5,7]=>[2,1,8,6,4,3,5,7]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[1,2,3,4,5,6,7,9,8]=>[9,1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>[9]
[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>[2,7]
[1,2,3,4,5,6,7,8,10,9]=>[10,1,2,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10]
[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[2,8]
[9,1,2,3,4,5,6,7,10,8]=>[9,1,2,3,4,5,6,10,7,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,1]
[1,8,2,3,4,5,6,9,7]=>[8,1,2,3,4,9,5,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[2,1,9,3,4,5,6,7,8]=>[2,1,3,4,5,9,6,7,8]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,7]
[2,10,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,10,9]=>[[1,3,4,5,6,7,8,9],[2,10]]=>[2,8]
[8,4,3,6,5,1,7,2]=>[4,8,6,3,5,7,1,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[8,5,6,3,4,1,7,2]=>[3,5,6,8,4,7,1,2]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[8,6,5,4,3,1,7,2]=>[6,8,5,4,3,7,1,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[1,7,6,5,4,2,3,8]=>[1,7,6,5,4,2,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[1,8,6,5,2,7,3,4]=>[1,6,8,5,7,2,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[8,7,5,4,1,6,3,2]=>[5,8,7,4,6,3,1,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[7,8,5,4,1,3,6,2]=>[5,1,7,8,4,3,6,2]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[6,8,5,4,2,1,7,3]=>[6,5,8,4,7,2,1,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[5,8,6,2,4,1,7,3]=>[5,2,8,6,4,7,1,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[4,8,2,6,5,1,7,3]=>[4,8,6,2,5,7,1,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[3,2,8,6,5,1,7,4]=>[6,8,5,3,2,7,1,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[3,2,1,7,6,4,5,8]=>[3,7,6,2,1,4,5,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[4,1,3,7,6,2,5,8]=>[4,7,1,3,2,6,5,8]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[5,1,7,3,6,2,4,8]=>[1,5,7,3,2,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[6,1,7,5,3,2,4,8]=>[3,6,7,5,1,2,4,8]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[7,1,6,5,2,4,3,8]=>[7,1,6,5,2,4,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[8,1,6,5,2,3,7,4]=>[6,1,8,5,2,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[1,2,7,6,3,4,5,8]=>[1,2,7,6,3,4,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[1,2,8,3,7,4,5,6]=>[1,2,8,3,7,4,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[8,1,7,2,6,3,5,4]=>[8,1,7,2,6,3,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[7,1,8,2,6,4,3,5]=>[1,7,8,4,6,2,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[6,1,8,2,4,7,3,5]=>[1,6,2,8,4,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[5,1,8,3,2,7,4,6]=>[5,3,8,1,7,2,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[4,1,3,8,2,7,5,6]=>[4,8,1,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[3,2,1,8,4,7,5,6]=>[3,8,2,7,1,4,5,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[3,2,8,7,1,6,5,4]=>[8,7,3,6,2,1,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[4,8,2,7,1,6,5,3]=>[8,4,7,2,1,6,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[5,8,7,2,1,6,4,3]=>[5,8,7,6,2,4,1,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[6,8,7,1,3,5,4,2]=>[8,3,1,6,7,5,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[7,8,6,1,5,3,4,2]=>[7,1,3,8,6,5,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[8,7,6,1,5,4,3,2]=>[8,7,6,1,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[8]
[1,8,7,2,6,5,3,4]=>[1,8,7,2,6,5,3,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[1,7,8,2,5,6,3,4]=>[1,7,2,3,5,8,6,4]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[8,6,7,1,4,5,3,2]=>[4,6,1,8,7,5,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[7,6,8,1,4,3,5,2]=>[7,1,4,6,8,3,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[6,5,8,3,2,1,7,4]=>[6,5,8,3,7,2,1,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[7,5,8,3,1,4,6,2]=>[3,5,7,8,1,4,6,2]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[8,5,7,3,1,6,4,2]=>[5,8,3,7,6,4,1,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[1,6,8,4,2,7,3,5]=>[1,6,8,4,2,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[1,5,4,8,2,7,3,6]=>[5,4,1,8,2,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[8,4,3,7,1,6,5,2]=>[8,4,3,7,6,1,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[7,4,3,8,1,5,6,2]=>[4,3,7,5,1,8,6,2]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[6,4,3,1,5,2,7,8]=>[4,6,3,5,1,2,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[7,4,3,1,2,6,5,8]=>[7,1,4,6,3,2,5,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[8,4,3,1,2,5,7,6]=>[8,1,4,3,7,2,5,6]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[1,5,4,2,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[8,5,1,4,2,3,7,6]=>[8,1,2,7,5,4,3,6]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[7,5,1,4,2,6,3,8]=>[7,1,5,4,6,2,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[6,5,1,4,3,2,7,8]=>[6,5,1,4,3,2,7,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[5,6,1,3,4,2,7,8]=>[3,1,5,6,4,2,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[4,6,2,1,5,3,7,8]=>[4,6,2,5,1,3,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[3,2,6,1,5,4,7,8]=>[6,3,2,1,5,4,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[3,2,7,1,4,6,5,8]=>[7,3,2,1,4,6,5,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[4,7,2,1,3,6,5,8]=>[7,2,4,1,6,3,5,8]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[5,7,1,3,2,6,4,8]=>[5,7,1,3,6,2,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[6,7,1,2,4,5,3,8]=>[4,1,2,6,7,5,3,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[7,6,1,2,5,4,3,8]=>[7,6,1,2,5,4,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[8,6,1,2,5,3,7,4]=>[8,1,6,2,5,7,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,7,2,3,6,4,5,8]=>[1,7,2,3,6,4,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[8,7,1,2,3,6,5,4]=>[8,7,1,2,3,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[7,8,1,2,3,5,6,4]=>[5,1,2,3,7,8,6,4]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[6,8,1,2,4,3,7,5]=>[6,8,1,2,4,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[5,8,1,3,2,4,7,6]=>[8,1,5,3,2,7,4,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[4,8,2,1,3,5,7,6]=>[8,2,4,1,3,7,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[3,2,8,1,4,5,7,6]=>[8,3,2,1,4,5,7,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[4,1,3,2,5,6,7,8]=>[4,1,3,2,5,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[5,1,2,4,3,6,7,8]=>[5,1,2,4,3,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[6,1,2,3,5,4,7,8]=>[6,1,2,3,5,4,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[7,1,2,3,4,6,5,8]=>[7,1,2,3,4,6,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[8,1,2,3,4,5,7,6]=>[8,1,2,3,4,5,7,6]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[6,7,4,5,1,8,3,2]=>[4,6,7,5,8,3,1,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[5,4,7,6,8,1,2,3]=>[1,2,7,5,4,6,8,3]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,2,1]
[3,8,4,5,7,1,2,6]=>[1,3,4,5,8,2,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[4,5,6,7,1,8,3,2]=>[4,5,6,7,8,3,1,2]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[3,5,6,2,7,4,8,1]=>[5,3,6,7,2,4,8,1]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[3,5,6,1,7,8,4,2]=>[5,3,6,7,8,1,4,2]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[2,5,6,8,1,7,3,4]=>[2,5,1,6,8,3,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[1,4,8,6,2,3,7,5]=>[8,1,4,6,2,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[1,5,6,8,2,3,7,4]=>[5,1,6,2,8,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[1,5,6,2,8,4,7,3]=>[5,6,8,1,2,4,7,3]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[2,5,6,3,4,7,8,1]=>[2,5,3,6,4,7,8,1]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[8,1,3,2,5,4,6,7]=>[1,5,8,3,2,4,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[8,2,3,1,5,6,4,7]=>[2,8,3,1,5,6,4,7]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[3,4,1,6,7,8,5,2]=>[6,3,4,7,1,8,5,2]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[4,3,1,7,6,8,5,2]=>[7,6,4,3,8,1,5,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[5,3,7,2,6,4,8,1]=>[5,7,3,2,6,4,8,1]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[6,7,2,1,8,5,4,3]=>[6,7,8,5,4,2,1,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[6,7,1,3,4,8,5,2]=>[6,3,1,7,8,4,5,2]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[5,1,7,3,4,8,6,2]=>[7,5,1,8,3,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[5,1,7,8,2,3,6,4]=>[5,1,7,2,8,3,6,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[4,1,8,7,2,3,6,5]=>[8,1,4,7,2,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[3,8,1,2,7,4,5,6]=>[1,3,8,2,4,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[4,1,3,7,5,8,6,2]=>[7,8,4,1,3,5,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[2,1,8,3,4,7,6,5]=>[8,7,2,1,6,3,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,2,1,3,4,6,5,7]=>[2,8,1,3,6,4,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[1,8,2,3,4,5,7,6]=>[8,1,2,3,4,7,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[1,2,8,3,4,6,7,5]=>[8,1,2,3,6,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[5,2,6,1,4,8,7,3]=>[8,5,2,6,1,4,7,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[5,2,7,4,8,6,1,3]=>[2,7,5,8,1,4,6,3]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[5,6,2,1,3,8,7,4]=>[8,5,2,6,7,1,3,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[5,1,6,4,2,8,7,3]=>[8,5,6,4,7,1,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[5,6,1,3,2,8,7,4]=>[8,5,6,1,7,3,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[5,6,3,2,1,8,7,4]=>[8,5,6,7,3,2,1,4]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[5,7,3,2,8,1,6,4]=>[5,7,3,8,2,1,6,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[6,7,3,8,2,1,5,4]=>[6,3,7,8,2,5,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[5,7,3,1,8,2,6,4]=>[5,7,3,8,1,6,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[5,7,1,3,8,2,6,4]=>[5,7,1,3,8,2,6,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[1,5,7,4,8,6,3,2]=>[7,5,8,4,1,6,3,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[5,7,1,3,8,6,2,4]=>[1,7,5,3,8,2,6,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[5,7,3,1,8,6,2,4]=>[3,7,5,8,1,6,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[6,7,8,3,1,4,2,5]=>[3,4,6,7,8,1,2,5]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[6,1,7,8,4,5,2,3]=>[1,6,2,7,4,8,5,3]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[1,6,7,8,4,5,3,2]=>[6,4,1,7,8,5,3,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[1,6,7,8,4,3,5,2]=>[6,1,7,4,8,3,5,2]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[6,1,7,8,4,2,5,3]=>[6,1,7,8,4,5,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[6,7,1,8,3,2,5,4]=>[6,3,7,8,5,1,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[5,7,2,1,8,3,6,4]=>[5,7,2,8,6,1,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[6,7,2,8,1,3,5,4]=>[6,2,1,7,8,3,5,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[6,7,2,8,3,5,1,4]=>[2,3,6,7,8,1,5,4]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[6,2,7,8,4,5,1,3]=>[2,1,6,7,4,8,5,3]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[6,2,7,8,4,1,5,3]=>[6,2,7,4,8,5,1,3]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[4,2,1,7,8,5,6,3]=>[4,7,5,2,1,8,6,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[4,1,2,7,8,6,5,3]=>[7,8,4,1,6,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[6,2,7,8,1,5,4,3]=>[6,7,2,8,1,5,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[6,2,7,8,5,1,4,3]=>[6,2,7,8,1,5,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[6,2,7,8,5,4,1,3]=>[2,6,7,8,1,5,4,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[6,7,2,8,5,3,1,4]=>[2,6,7,8,5,3,1,4]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[5,7,1,2,8,6,3,4]=>[1,7,5,2,8,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[1,6,7,8,3,5,4,2]=>[6,7,1,3,8,5,4,2]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[6,1,7,8,2,5,4,3]=>[6,7,1,8,5,2,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[6,7,8,2,4,1,3,5]=>[2,1,4,6,7,8,3,5]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[6,1,7,8,5,2,4,3]=>[6,1,7,8,5,2,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[1,6,7,8,5,3,4,2]=>[6,1,7,3,8,5,4,2]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[6,7,1,8,5,3,2,4]=>[3,6,7,8,5,1,2,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[6,5,2,8,4,7,3,1]=>[6,5,8,2,4,7,3,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[5,8,1,4,7,2,3,6]=>[1,5,2,4,3,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[3,6,4,8,5,7,1,2]=>[1,6,3,8,4,5,7,2]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[5,1,4,8,6,3,7,2]=>[5,8,4,1,6,3,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[3,4,7,1,8,6,5,2]=>[7,8,3,4,6,5,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[3,6,8,7,1,4,2,5]=>[3,1,8,6,4,7,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[5,3,7,1,6,8,2,4]=>[3,5,1,7,2,6,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[4,3,8,5,6,7,2,1]=>[4,3,8,5,6,7,2,1]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[5,8,1,7,6,2,4,3]=>[8,1,5,7,6,2,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[4,6,1,2,7,8,5,3]=>[6,4,1,7,8,2,5,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[3,6,4,2,8,7,5,1]=>[8,6,7,3,4,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[6,3,7,5,2,8,1,4]=>[3,6,7,2,5,1,8,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[6,5,2,7,4,8,1,3]=>[2,6,5,7,1,4,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[5,7,1,4,8,3,2,6]=>[5,1,7,4,3,8,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[7,8,3,5,1,4,6,2]=>[3,5,1,7,8,4,6,2]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[5,8,1,4,6,7,2,3]=>[1,5,2,4,6,8,7,3]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[6,5,8,4,3,7,2,1]=>[6,5,4,8,3,7,2,1]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[6,3,7,4,2,8,5,1]=>[6,7,8,3,4,2,5,1]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[8,7,1,6,2,4,5,3]=>[8,1,2,4,7,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[3,8,6,7,1,4,5,2]=>[3,4,1,8,6,7,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[5,3,8,7,4,1,2,6]=>[1,5,8,3,7,4,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[4,3,8,7,1,5,6,2]=>[4,3,8,5,1,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[8,3,6,1,2,5,7,4]=>[6,1,3,2,8,5,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[5,6,1,8,7,3,2,4]=>[3,8,5,6,7,1,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[7,5,3,6,4,2,8,1]=>[5,7,6,3,4,2,8,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[6,4,1,5,3,8,2,7]=>[4,6,5,3,1,2,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[8,2,6,3,4,7,5,1]=>[8,2,3,6,7,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[7,2,6,3,5,4,8,1]=>[7,2,6,3,5,4,8,1]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[6,2,7,4,3,5,8,1]=>[4,6,7,2,3,5,8,1]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[3,7,6,4,5,2,8,1]=>[3,7,6,4,5,2,8,1]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[2,7,6,5,3,4,8,1]=>[2,7,6,5,3,4,8,1]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[6,5,4,3,1,8,2,7]=>[6,5,4,3,1,8,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[8,6,5,4,2,7,3,1]=>[6,8,5,4,7,2,3,1]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[8,5,4,1,7,2,6,3]=>[5,4,8,7,1,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[7,5,4,1,8,3,2,6]=>[5,7,4,3,8,1,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[5,7,4,2,1,8,3,6]=>[5,4,7,2,8,1,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[1,6,5,3,4,8,2,7]=>[6,1,5,3,4,2,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[6,5,8,4,2,7,3,1]=>[6,5,4,8,7,2,3,1]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[5,8,2,6,4,7,3,1]=>[5,8,2,6,4,7,3,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[3,8,6,2,5,7,4,1]=>[8,3,2,6,5,7,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[7,8,5,3,2,6,4,1]=>[5,7,8,6,3,2,4,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[1,8,6,3,7,5,2,4]=>[3,6,8,7,1,2,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[8,7,5,2,6,4,3,1]=>[5,8,7,6,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[8,7,1,6,2,5,4,3]=>[8,7,1,6,2,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[7,8,1,6,3,2,5,4]=>[7,1,8,6,3,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[2,8,1,7,3,5,6,4]=>[8,2,1,5,3,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[4,8,1,3,7,2,6,5]=>[8,4,1,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[4,2,8,5,7,3,6,1]=>[4,5,8,2,3,7,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[3,7,1,5,8,4,2,6]=>[3,7,5,1,4,8,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[6,7,3,1,8,4,2,5]=>[3,6,7,8,4,1,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[1,7,3,8,4,5,2,6]=>[1,7,3,8,4,5,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[1,7,2,8,5,3,4,6]=>[1,5,7,8,2,3,4,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[7,6,1,8,4,3,2,5]=>[4,7,6,8,3,1,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[8,6,1,7,4,2,5,3]=>[4,6,8,7,5,1,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[8,1,2,7,3,4,6,5]=>[8,1,2,7,3,4,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[7,1,2,8,3,5,4,6]=>[1,7,2,8,5,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[8,2,6,1,7,3,5,4]=>[6,2,8,1,7,5,3,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[5,4,3,1,6,8,2,7]=>[5,4,3,6,1,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[4,7,5,6,8,3,2,1]=>[4,7,5,6,8,3,2,1]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[6,5,4,8,2,7,3,1]=>[6,5,4,8,2,7,3,1]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[8,6,4,7,5,3,2,1]=>[6,8,7,4,5,3,2,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[5,4,8,1,7,2,6,3]=>[5,4,8,1,7,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[4,7,2,8,6,3,5,1]=>[4,7,2,8,6,3,5,1]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[2,3,8,7,4,5,6,1]=>[2,3,8,7,4,5,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[7,2,8,6,4,3,5,1]=>[4,7,8,6,2,3,5,1]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[2,1,8,7,5,6,3,4]=>[2,8,1,7,5,3,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[8,2,7,6,3,5,4,1]=>[8,2,7,6,3,5,4,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[8,1,7,6,5,2,4,3]=>[8,1,7,6,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[7,1,8,6,5,3,2,4]=>[3,7,8,6,5,1,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[1,2,8,7,6,3,4,5]=>[1,2,8,7,6,3,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[3,8,7,6,4,5,2,1]=>[3,8,7,6,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[2,8,7,6,5,3,4,1]=>[2,8,7,6,5,3,4,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[1,8,7,6,5,4,2,3]=>[1,8,7,6,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[4,8,6,7,3,5,1,2]=>[1,4,3,8,6,7,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[2,8,6,7,4,5,1,3]=>[2,1,8,4,6,7,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[1,8,6,7,4,5,2,3]=>[1,8,2,4,6,7,5,3]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[1,8,5,7,4,6,2,3]=>[1,8,2,5,4,7,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[3,8,5,7,4,6,1,2]=>[1,3,8,5,4,7,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[4,8,5,7,3,6,1,2]=>[1,4,5,8,3,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[3,7,4,8,5,6,1,2]=>[1,3,7,8,4,5,6,2]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[4,7,2,8,5,6,1,3]=>[2,4,7,1,8,5,6,3]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[3,7,1,8,5,6,2,4]=>[3,1,7,8,2,5,6,4]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[3,7,2,8,5,6,1,4]=>[3,2,7,1,8,5,6,4]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[2,7,4,8,5,6,1,3]=>[2,1,7,8,4,5,6,3]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[5,8,2,7,4,6,1,3]=>[2,5,1,8,4,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[7,8,1,6,4,5,2,3]=>[1,7,2,4,8,6,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[6,8,1,7,4,5,2,3]=>[1,6,2,8,4,7,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[5,8,1,7,4,6,2,3]=>[1,5,8,2,4,7,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[1,7,4,8,5,6,2,3]=>[1,7,2,8,4,5,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[1,8,5,6,2,7,3,4]=>[1,8,2,5,6,7,3,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[4,8,1,7,3,6,2,5]=>[4,1,8,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[5,8,1,7,3,6,2,4]=>[1,5,8,3,2,7,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[6,8,1,7,3,5,2,4]=>[1,6,3,8,2,7,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[5,8,2,7,3,6,1,4]=>[2,5,3,8,1,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[2,7,3,8,4,6,1,5]=>[2,3,7,8,4,1,6,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[1,8,4,7,3,6,2,5]=>[1,8,4,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[3,8,4,7,2,6,1,5]=>[3,4,2,8,1,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[2,8,6,7,3,5,1,4]=>[2,3,8,1,6,7,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[3,8,6,7,2,5,1,4]=>[3,2,1,8,6,7,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[4,8,6,7,2,5,1,3]=>[2,4,1,8,6,7,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[5,8,6,7,2,4,1,3]=>[2,1,5,8,6,7,4,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[5,8,6,7,1,4,2,3]=>[1,5,2,8,6,7,4,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[4,8,6,7,1,5,2,3]=>[1,4,8,2,6,7,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[3,8,6,7,1,5,2,4]=>[3,1,8,2,6,7,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[2,5,1,8,6,7,3,4]=>[2,8,1,5,6,3,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[2,6,1,8,5,7,3,4]=>[2,6,8,1,3,5,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[1,6,2,8,5,7,3,4]=>[1,6,8,2,5,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[3,8,5,7,1,6,2,4]=>[3,1,5,8,7,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[6,8,4,7,1,5,2,3]=>[1,4,6,8,2,7,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[3,8,4,7,1,6,2,5]=>[3,4,1,8,7,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[1,6,2,8,4,7,3,5]=>[1,6,8,4,2,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[3,7,2,6,1,8,4,5]=>[3,7,2,1,6,8,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[3,7,1,6,2,8,4,5]=>[3,7,1,6,2,8,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[7,8,1,5,2,6,3,4]=>[1,7,2,5,8,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[5,8,2,6,1,7,3,4]=>[2,5,6,1,8,7,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[4,8,2,6,1,7,3,5]=>[4,2,6,1,8,7,3,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[1,7,3,6,2,8,4,5]=>[1,7,6,3,2,8,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9]]=>[9]
[1,2,3,4,5,6,8,9,7]=>[8,1,2,3,4,5,6,9,7]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[1,2,3,4,5,7,8,9,6]=>[7,1,2,3,4,5,8,9,6]=>[[1,2,3,4,5,6,9],[7,8]]=>[7,2]
[1,2,3,5,6,7,8,9,4]=>[5,1,2,3,6,7,8,9,4]=>[[1,2,3,4,7,8,9],[5,6]]=>[5,4]
[1,2,4,5,6,7,8,9,3]=>[4,1,2,5,6,7,8,9,3]=>[[1,2,3,6,7,8,9],[4,5]]=>[4,5]
[1,3,4,5,6,7,8,9,2]=>[3,1,4,5,6,7,8,9,2]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[[1,2,3,4,5,6,7,8,9,10]]=>[10]
[1,2,3,4,5,6,9,8,7]=>[9,8,1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9]
[1,2,3,4,5,6,7,9,10,8]=>[9,1,2,3,4,5,6,7,10,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,1]
[1,2,3,4,5,6,8,9,10,7]=>[8,1,2,3,4,5,6,9,10,7]=>[[1,2,3,4,5,6,7,10],[8,9]]=>[8,2]
[1,2,3,4,5,7,8,9,10,6]=>[7,1,2,3,4,5,8,9,10,6]=>[[1,2,3,4,5,6,9,10],[7,8]]=>[7,3]
[1,2,3,4,6,7,8,9,10,5]=>[6,1,2,3,4,7,8,9,10,5]=>[[1,2,3,4,5,8,9,10],[6,7]]=>[6,4]
[1,2,3,5,6,7,8,9,10,4]=>[5,1,2,3,6,7,8,9,10,4]=>[[1,2,3,4,7,8,9,10],[5,6]]=>[5,5]
[1,2,4,5,6,7,8,9,10,3]=>[4,1,2,5,6,7,8,9,10,3]=>[[1,2,3,6,7,8,9,10],[4,5]]=>[4,6]
[3,2,4,5,6,7,8,9,1]=>[3,2,4,5,6,7,8,9,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,6]
[1,3,4,5,6,7,8,9,10,2]=>[3,1,4,5,6,7,8,9,10,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[3,7]
[6,7,4,8,3,5,1,2]=>[1,4,6,7,3,8,5,2]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[5,7,4,8,3,6,1,2]=>[1,5,4,7,3,8,6,2]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[6,8,4,5,3,7,1,2]=>[1,4,6,5,8,3,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[5,6,4,8,3,7,1,2]=>[1,5,6,4,3,8,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[5,6,3,7,2,4,1,8]=>[3,5,6,2,7,4,1,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[5,6,3,7,2,8,1,4]=>[3,5,6,2,7,1,8,4]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[5,6,3,8,2,7,1,4]=>[3,5,6,2,1,8,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[5,8,4,6,2,7,1,3]=>[2,5,4,6,8,1,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[6,8,4,5,2,7,1,3]=>[2,4,6,5,8,1,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[7,8,4,5,2,6,1,3]=>[2,4,5,7,8,1,6,3]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[6,8,4,5,2,3,1,7]=>[2,4,6,5,8,3,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[5,6,4,8,2,3,1,7]=>[2,5,6,4,3,8,1,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[5,6,3,8,2,4,1,7]=>[3,5,6,2,4,8,1,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[5,6,3,4,2,8,1,7]=>[3,5,6,4,2,1,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[4,6,3,5,2,8,1,7]=>[4,3,6,5,2,1,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[4,8,3,6,2,5,1,7]=>[4,3,2,6,8,5,1,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[5,8,3,6,2,4,1,7]=>[3,5,2,6,8,4,1,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[6,8,3,5,2,4,1,7]=>[3,2,6,5,8,4,1,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[7,8,3,5,2,6,1,4]=>[3,2,5,7,8,1,6,4]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[5,8,3,6,2,7,1,4]=>[3,5,2,6,8,1,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[4,8,3,6,2,7,1,5]=>[4,3,2,6,8,1,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,6,3,8,2,7,1,5]=>[4,3,6,2,1,8,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,6,3,7,2,8,1,5]=>[4,3,6,2,7,1,8,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[5,7,4,8,2,6,1,3]=>[2,5,4,7,1,8,6,3]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[5,7,3,6,2,8,1,4]=>[3,5,2,7,6,1,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[5,7,3,6,2,4,1,8]=>[3,5,2,7,6,4,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[6,7,3,5,2,4,1,8]=>[3,2,6,7,5,4,1,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[6,7,5,8,2,4,1,3]=>[2,1,6,7,5,8,4,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[6,8,5,7,2,3,1,4]=>[2,3,6,5,8,7,1,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[6,7,4,8,2,3,1,5]=>[2,4,6,7,3,8,1,5]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[5,7,3,4,2,6,1,8]=>[3,5,4,7,2,6,1,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[5,7,3,4,2,8,1,6]=>[3,5,4,7,2,1,8,6]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[5,7,4,8,2,3,1,6]=>[2,5,4,7,3,8,1,6]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[6,8,4,7,2,3,1,5]=>[2,4,6,3,8,7,1,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[7,8,4,6,2,3,1,5]=>[2,4,3,7,8,6,1,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[7,8,3,6,2,4,1,5]=>[3,2,4,7,8,6,1,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[6,8,3,7,2,4,1,5]=>[3,2,6,4,8,7,1,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[4,7,3,8,2,5,1,6]=>[4,3,2,7,5,8,1,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[4,7,3,5,2,6,1,8]=>[4,3,5,7,2,6,1,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[4,5,3,7,2,6,1,8]=>[4,5,3,2,7,6,1,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[4,5,3,8,2,7,1,6]=>[4,5,3,2,1,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[4,8,3,5,2,7,1,6]=>[4,3,5,2,8,1,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[5,8,3,4,2,7,1,6]=>[3,5,4,2,8,1,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[7,8,3,4,2,6,1,5]=>[3,4,2,7,8,1,6,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[6,8,3,4,2,5,1,7]=>[3,4,6,2,8,5,1,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[4,8,3,5,2,6,1,7]=>[4,3,5,2,8,6,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[4,5,3,6,2,8,1,7]=>[4,5,3,6,2,1,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[4,7,5,2,1,8,3,6]=>[4,7,5,2,8,1,3,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[4,8,5,2,1,7,6,3]=>[8,4,7,5,6,2,1,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[4,6,5,2,1,3,8,7]=>[8,2,6,4,5,1,3,7]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[5,6,4,2,3,1,8,7]=>[8,2,5,6,4,3,1,7]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[6,4,5,3,1,2,8,7]=>[8,1,4,6,5,3,2,7]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[5,4,6,1,3,2,8,7]=>[8,5,1,4,6,3,2,7]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[4,6,8,1,7,3,2,5]=>[4,1,6,8,7,3,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[4,7,8,1,6,3,5,2]=>[4,7,1,3,8,6,5,2]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[7,4,8,1,6,5,3,2]=>[7,4,8,6,5,1,3,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[5,4,8,1,3,7,6,2]=>[8,5,1,4,3,7,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[8,4,5,3,1,7,6,2]=>[8,4,5,7,3,6,1,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[5,4,7,1,3,8,2,6]=>[5,1,4,3,7,2,8,6]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[6,4,8,1,7,5,2,3]=>[1,6,8,4,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[5,6,8,7,2,1,3,4]=>[2,1,8,5,6,7,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[8,5,7,6,4,2,1,3]=>[2,8,5,7,6,4,1,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[8,4,6,3,7,2,1,5]=>[4,3,6,8,2,7,1,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[6,3,2,8,7,4,1,5]=>[3,8,6,7,2,4,1,5]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[2,1,6,8,7,4,3,5]=>[2,8,6,7,1,4,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[2,1,7,8,6,4,5,3]=>[7,2,8,4,1,6,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[7,3,2,8,6,4,5,1]=>[3,7,8,6,2,4,5,1]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[7,6,8,5,2,4,3,1]=>[7,2,6,8,5,4,3,1]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[5,7,8,6,2,3,1,4]=>[2,3,7,5,8,6,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[5,8,7,6,3,2,1,4]=>[3,8,7,5,6,2,1,4]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[6,8,7,5,3,2,4,1]=>[3,8,6,7,5,2,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[5,8,4,2,3,7,6,1]=>[8,2,5,4,7,3,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[7,8,4,2,6,5,3,1]=>[7,4,8,6,5,2,3,1]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[4,8,7,2,6,3,5,1]=>[4,2,8,7,3,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[4,8,6,2,7,3,1,5]=>[4,2,8,6,7,3,1,5]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[3,6,1,8,7,4,2,5]=>[3,8,6,4,7,1,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[3,7,1,8,6,4,5,2]=>[3,7,8,6,1,4,5,2]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[3,8,1,6,7,5,2,4]=>[3,6,1,8,2,7,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[3,7,1,6,8,2,5,4]=>[7,3,1,6,2,8,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[4,7,6,2,8,1,3,5]=>[2,4,7,1,6,3,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[6,7,4,2,8,1,5,3]=>[4,6,7,8,2,1,5,3]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[6,8,4,2,7,5,1,3]=>[2,6,8,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[2,1,8,6,7,5,3,4]=>[2,8,6,1,7,3,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[8,3,2,6,7,5,1,4]=>[3,8,2,1,6,7,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[8,6,4,3,7,5,1,2]=>[1,6,8,7,4,3,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[5,8,6,7,3,1,2,4]=>[1,3,5,8,6,7,2,4]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[6,7,5,8,1,3,4,2]=>[3,1,6,7,5,8,4,2]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[7,6,5,8,1,4,3,2]=>[7,6,1,5,8,4,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[8,6,5,7,4,1,3,2]=>[6,1,8,5,7,4,3,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[7,6,4,3,8,1,5,2]=>[4,7,6,3,8,1,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[7,3,2,6,8,1,5,4]=>[7,3,2,6,1,8,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[2,1,7,6,8,3,5,4]=>[7,2,6,8,1,3,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[7,5,6,8,1,4,2,3]=>[1,5,2,7,6,8,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[6,5,7,8,1,2,4,3]=>[6,1,2,5,7,8,4,3]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[1,6,2,5,4,7,3,8]=>[6,5,1,4,2,7,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[8,1,3,5,4,7,6,2]=>[8,7,1,3,5,4,6,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[7,1,5,3,4,8,6,2]=>[7,8,1,3,5,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[7,1,4,3,5,6,8,2]=>[4,1,7,3,5,6,8,2]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[8,1,3,4,5,6,7,2]=>[3,1,4,5,6,8,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[1,7,2,4,5,6,3,8]=>[4,1,2,7,5,6,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[8,4,7,2,5,6,1,3]=>[2,4,1,5,8,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[8,5,2,1,4,3,7,6]=>[8,2,7,5,4,1,3,6]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[6,5,2,8,4,1,3,7]=>[2,6,5,1,8,4,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[5,6,2,1,4,8,3,7]=>[5,2,6,4,1,3,8,7]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[3,6,1,8,5,2,4,7]=>[3,6,1,5,8,2,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[1,2,6,3,5,4,7,8]=>[6,1,5,2,3,4,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[3,4,1,2,8,6,5,7]=>[6,8,1,3,4,2,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[6,3,8,5,2,1,4,7]=>[3,6,2,8,5,1,4,7]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[8,3,1,5,2,4,7,6]=>[8,3,1,5,7,2,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[3,8,2,6,1,5,7,4]=>[6,3,2,1,8,5,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[3,8,6,7,2,1,5,4]=>[8,3,2,6,7,5,1,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[7,2,5,8,3,1,6,4]=>[7,2,5,8,3,6,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[7,2,1,3,8,6,4,5]=>[2,7,8,1,6,3,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[1,5,7,3,2,4,6,8]=>[1,5,3,7,2,4,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[4,8,1,6,3,2,7,5]=>[6,4,8,7,1,3,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[3,1,8,6,4,2,7,5]=>[6,8,7,3,4,1,2,5]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[8,1,6,7,4,3,2,5]=>[1,6,8,7,4,3,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[4,2,1,3,7,8,5,6]=>[2,7,4,1,3,5,8,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[6,8,2,3,4,1,5,7]=>[2,3,4,6,1,8,5,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[5,1,8,3,2,4,6,7]=>[3,5,1,2,8,4,6,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[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]]=>[9]
[8,9,7,6,5,4,3,2,1]=>[8,9,7,6,5,4,3,2,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[8,1]
[8,7,9,6,5,4,3,2,1]=>[8,7,9,6,5,4,3,2,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[8,1]
[8,7,6,9,5,4,3,2,1]=>[8,7,6,9,5,4,3,2,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[8,1]
[8,7,6,5,9,4,3,2,1]=>[8,7,6,5,9,4,3,2,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[8,1]
[8,7,6,5,4,9,3,2,1]=>[8,7,6,5,4,9,3,2,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[8,1]
[8,7,6,5,4,3,9,2,1]=>[8,7,6,5,4,3,9,2,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[8,1]
[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]]=>[8,1]
[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[8,1]
[9,10,8,7,6,5,4,3,2,1]=>[9,10,8,7,6,5,4,3,2,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[7,8,9,6,5,4,3,2,1]=>[7,8,9,6,5,4,3,2,1]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,2]
[9,8,10,7,6,5,4,3,2,1]=>[9,8,10,7,6,5,4,3,2,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[8,6,7,9,5,4,3,2,1]=>[6,8,7,9,5,4,3,2,1]=>[[1,7,9],[2],[3],[4],[5],[6],[8]]=>[6,2,1]
[9,8,7,10,6,5,4,3,2,1]=>[9,8,7,10,6,5,4,3,2,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[9,8,7,6,10,5,4,3,2,1]=>[9,8,7,6,10,5,4,3,2,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[9,8,7,6,5,10,4,3,2,1]=>[9,8,7,6,5,10,4,3,2,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[9,8,7,6,5,4,10,3,2,1]=>[9,8,7,6,5,4,10,3,2,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[9,8,7,6,5,4,3,10,2,1]=>[9,8,7,6,5,4,3,10,2,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[8,7,6,5,4,3,1,2,9]=>[1,8,7,6,5,4,3,2,9]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,1]
[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]]=>[9,1]
[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[1,6,2,4,7,5,3,8]=>[6,7,1,4,2,5,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[1,7,3,8,5,2,4,6]=>[3,1,7,8,2,5,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[4,2,5,7,8,6,1,3]=>[2,7,4,1,5,8,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[8,2,5,1,7,3,4,6]=>[2,5,1,3,8,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[1,3,6,4,8,5,7,2]=>[6,8,1,3,4,5,7,2]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[1,3,6,4,7,5,8,2]=>[6,7,3,1,4,5,8,2]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[6,2,1,3,7,8,4,5]=>[2,6,1,7,3,4,8,5]=>[[1,3,4,5],[2,6,7,8]]=>[2,4,2]
[7,8,2,1,4,3,5,6]=>[2,4,7,1,8,3,5,6]=>[[1,3,5,6],[2,4,7,8]]=>[2,2,3,1]
[7,6,4,2,3,1,8,5]=>[7,2,6,8,4,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[7,5,4,2,6,8,1,3]=>[2,5,7,4,1,6,8,3]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[1,7,5,3,4,6,8,2]=>[5,1,7,3,4,6,8,2]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,2,5,4,6,7,1,3]=>[2,1,5,8,4,6,7,3]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[5,2,6,3,1,8,7,4]=>[8,5,6,7,2,3,1,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[8,2,7,4,1,3,5,6]=>[2,1,4,8,3,7,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[1,2,8,4,3,5,6,7]=>[4,1,2,8,3,5,6,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[1,7,4,2,3,5,6,8]=>[1,4,2,7,3,5,6,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[1,8,7,4,3,2,5,6]=>[4,3,8,7,1,2,5,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[5,3,8,1,2,7,4,6]=>[5,1,3,8,2,4,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[5,1,8,3,2,6,4,7]=>[5,3,8,6,1,2,4,7]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[5,7,3,1,2,6,4,8]=>[5,1,7,3,6,2,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[1,5,8,2,4,6,3,7]=>[5,1,4,2,6,8,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[1,5,8,4,2,7,3,6]=>[5,1,8,4,2,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[5,3,1,6,7,2,4,8]=>[3,5,1,6,2,7,4,8]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[1,6,3,2,7,8,4,5]=>[3,6,7,1,2,4,8,5]=>[[1,2,4,5],[3,6,7,8]]=>[3,3,2]
[1,7,4,5,3,8,6,2]=>[7,8,4,1,5,3,6,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[6,3,4,1,2,5,8,7]=>[8,1,3,4,6,2,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[6,3,1,4,2,7,5,8]=>[6,3,7,4,1,2,5,8]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[1,8,3,2,4,5,6,7]=>[3,1,2,4,8,5,6,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[8,6,3,2,4,1,7,5]=>[6,3,8,7,2,4,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[4,2,5,6,7,8,1,3]=>[2,4,1,5,6,7,8,3]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[7,2,3,1,4,5,8,6]=>[7,2,3,1,8,4,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[8,6,1,4,3,2,5,7]=>[1,6,8,4,3,2,5,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[3,7,5,1,8,2,4,6]=>[3,1,7,5,2,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[8,1,2,4,6,5,3,7]=>[4,8,1,2,6,5,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,1,2,5,4,6,3,7]=>[1,8,5,2,4,6,3,7]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[8,2,6,5,1,3,4,7]=>[2,1,3,8,6,5,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[8,1,2,6,4,5,3,7]=>[1,8,4,2,6,5,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,1,2,5,6,4,3,7]=>[5,1,8,2,6,4,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[5,1,4,8,2,7,3,6]=>[5,4,1,2,8,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[1,4,6,8,2,7,3,5]=>[4,1,6,2,8,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[5,1,4,7,2,8,3,6]=>[5,4,1,2,7,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[1,7,4,5,2,8,3,6]=>[4,7,1,5,2,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[3,7,5,1,2,8,4,6]=>[1,7,5,3,2,8,4,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[5,7,2,8,1,3,4,6]=>[2,1,5,3,7,4,8,6]=>[[1,3,4,6],[2,5,7,8]]=>[2,3,2,1]
[4,1,5,8,2,7,3,6]=>[4,5,1,8,2,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[1,4,6,2,8,7,3,5]=>[4,8,1,6,2,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[1,4,2,8,6,7,3,5]=>[4,1,8,6,2,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[3,1,2,7,4,6,8,5]=>[7,1,6,3,2,4,8,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[1,4,7,2,6,8,3,5]=>[4,1,7,2,3,6,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[1,2,3,6,8,5,7,4]=>[6,5,1,2,3,8,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[5,1,4,2,7,8,3,6]=>[5,4,1,2,7,3,8,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[1,4,2,7,6,8,3,5]=>[4,7,1,6,2,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[3,1,2,8,4,6,7,5]=>[8,1,3,6,2,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[3,1,2,7,6,4,8,5]=>[7,6,8,1,3,2,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[5,3,7,1,8,2,4,6]=>[3,5,1,2,7,8,4,6]=>[[1,2,4,6],[3,5,7,8]]=>[3,2,2,1]
[1,7,4,3,2,5,8,6]=>[7,4,8,3,1,2,5,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[4,8,7,2,1,3,5,6]=>[2,4,1,8,3,7,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[1,8,7,3,4,2,5,6]=>[1,3,8,4,7,2,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[1,4,2,6,8,3,7,5]=>[6,4,8,1,2,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[1,2,3,7,8,5,6,4]=>[7,1,5,2,3,8,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[1,4,2,7,3,8,6,5]=>[7,8,4,6,1,2,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,10,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10]
[10,1,2,3,4,5,6,9,7,8]=>[1,10,2,3,4,5,6,7,9,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10]
[10,1,2,3,4,5,9,6,7,8]=>[1,2,10,3,4,5,6,7,9,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10]
[9,1,2,3,4,10,5,6,7,8]=>[1,2,3,9,4,5,6,10,7,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,1]
[10,1,2,3,9,4,5,6,7,8]=>[1,2,3,4,10,5,6,7,9,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10]
[10,1,2,9,3,4,5,6,7,8]=>[1,2,3,4,5,10,6,7,9,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10]
[9,1,10,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,9,10,7,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,1]
[10,9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,10,9,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10]
[8,1,2,3,4,5,6,9,10,7]=>[8,1,2,3,4,5,9,6,10,7]=>[[1,2,3,4,5,6,7],[8,9,10]]=>[8,2]
[5,7,8,4,2,6,1,3]=>[2,5,4,7,8,1,6,3]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[6,7,8,4,2,5,1,3]=>[2,4,6,7,8,1,5,3]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[6,7,8,3,2,1,5,4]=>[6,3,7,8,5,2,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[2,7,8,4,3,5,6,1]=>[2,4,7,8,3,5,6,1]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[4,7,8,3,2,1,5,6]=>[4,3,2,7,8,1,5,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[7,6,3,8,2,1,4,5]=>[3,2,7,6,1,8,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[8,6,3,7,2,1,4,5]=>[3,2,6,8,1,7,4,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[5,6,3,8,2,1,4,7]=>[3,5,6,2,1,8,4,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[2,6,4,7,3,5,8,1]=>[4,6,2,3,7,5,8,1]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[5,6,3,7,2,1,4,8]=>[3,5,6,2,7,1,4,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[6,4,3,2,1,7,5,8]=>[6,7,4,3,2,1,5,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[4,5,3,2,7,1,6,8]=>[4,5,3,2,1,7,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[3,5,4,2,8,6,1,7]=>[5,8,3,4,2,6,1,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[7,4,3,2,1,8,5,6]=>[4,7,8,3,2,1,5,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[8,4,3,2,1,7,5,6]=>[4,8,3,7,2,1,5,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[8,4,3,2,1,7,6,5]=>[8,7,4,6,3,2,1,5]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[7,4,3,2,1,8,6,5]=>[7,8,6,4,3,2,1,5]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[4,3,1]
[6,4,3,2,1,8,7,5]=>[8,6,7,4,3,2,1,5]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[7,5,4,2,8,6,1,3]=>[2,7,8,5,4,1,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[2,6,5,7,8,3,4,1]=>[2,6,5,3,7,8,4,1]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[8,5,3,2,6,1,7,4]=>[5,8,3,6,2,7,1,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[5,6,3,7,2,1,8,4]=>[5,6,7,3,8,2,1,4]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[4,6,3,7,2,1,8,5]=>[6,4,7,3,8,2,1,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[2,6,4,7,3,8,5,1]=>[6,7,4,2,8,3,5,1]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[3,5,4,2,7,8,1,6]=>[5,3,4,2,1,7,8,6]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[4,5,3,2,7,1,8,6]=>[7,4,5,3,2,8,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[7,4,3,2,1,6,8,5]=>[7,4,6,3,2,1,8,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[8,4,3,2,1,5,7,6]=>[8,4,3,7,2,1,5,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[7,4,3,2,1,5,8,6]=>[7,4,8,3,2,1,5,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[3,5,4,2,6,8,1,7]=>[5,3,4,2,6,1,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[5,6,3,4,1,2,8,7]=>[8,1,3,5,6,4,2,7]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[8,5,3,7,2,6,4,1]=>[5,8,3,7,2,6,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[8,5,7,4,2,6,3,1]=>[5,4,8,7,6,2,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[7,5,8,4,2,6,1,3]=>[2,5,7,4,8,1,6,3]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[2,1,7,8,5,6,3,4]=>[2,7,1,5,3,8,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[6,8,3,7,5,1,4,2]=>[3,6,8,7,1,5,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[5,7,3,8,1,6,2,4]=>[3,5,1,7,8,2,6,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[3,2,6,4,8,5,1,7]=>[6,3,8,2,4,5,1,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[3,2,5,8,4,6,1,7]=>[5,3,2,4,6,8,1,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[3,5,2,4,1,7,6,8]=>[7,3,2,5,4,1,6,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[4,2,1,5,7,3,6,8]=>[4,5,2,1,3,7,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[4,5,2,3,7,1,6,8]=>[2,4,5,3,1,7,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[4,2,5,3,8,1,6,7]=>[4,5,2,3,1,6,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[4,2,5,8,3,1,6,7]=>[4,5,2,3,1,8,6,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[3,1,5,4,2,8,6,7]=>[5,8,3,4,1,2,6,7]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[4,1,5,3,8,2,6,7]=>[4,5,3,1,2,6,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[4,1,5,8,3,2,6,7]=>[4,5,1,3,8,2,6,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[4,3,8,5,2,1,6,7]=>[4,3,8,5,2,1,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[4,7,3,5,2,1,6,8]=>[4,3,5,7,2,1,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[4,3,2,7,5,1,6,8]=>[4,7,3,2,5,1,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[4,3,6,2,5,1,7,8]=>[4,3,2,6,5,1,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[4,6,3,2,5,1,7,8]=>[4,3,6,2,5,1,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[4,6,7,1,3,2,5,8]=>[4,1,3,6,7,2,5,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[4,5,1,7,3,2,6,8]=>[4,5,3,7,1,2,6,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[4,5,1,3,7,2,6,8]=>[4,1,5,3,2,7,6,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[3,5,1,4,2,7,6,8]=>[7,3,5,1,4,2,6,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[2,5,1,4,3,7,8,6]=>[7,5,2,1,4,3,8,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[5,2,1,4,3,7,8,6]=>[7,5,2,4,1,3,8,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[5,3,1,4,2,7,6,8]=>[7,3,5,4,1,2,6,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[4,3,1,5,7,2,6,8]=>[4,3,5,1,2,7,6,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[4,3,1,7,5,2,6,8]=>[4,7,3,5,1,2,6,8]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[4,3,6,1,5,2,7,8]=>[4,3,6,1,5,2,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[4,6,3,1,5,2,7,8]=>[4,3,6,5,1,2,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[5,3,6,4,1,2,7,8]=>[1,5,6,3,4,2,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[4,3,6,1,7,2,5,8]=>[4,3,1,6,7,2,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[6,3,4,1,2,7,5,8]=>[6,1,3,7,4,2,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[6,2,4,1,3,7,8,5]=>[6,2,1,7,4,3,8,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[3,6,4,1,2,7,5,8]=>[6,1,7,3,4,2,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[4,6,3,1,7,2,5,8]=>[4,3,6,1,7,2,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[5,3,6,2,1,4,7,8]=>[3,5,2,6,1,4,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[5,6,2,7,1,3,4,8]=>[2,1,5,6,3,7,4,8]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[4,5,2,7,3,1,6,8]=>[4,5,2,7,3,1,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[4,6,7,2,3,1,5,8]=>[2,4,3,6,7,1,5,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[4,6,2,1,7,3,5,8]=>[4,2,6,7,1,3,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[3,2,6,1,4,7,5,8]=>[6,3,2,1,7,4,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[3,6,2,1,4,7,5,8]=>[6,3,2,7,1,4,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[3,6,7,2,4,5,1,8]=>[3,2,4,6,7,5,1,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[3,5,2,7,4,6,1,8]=>[5,3,2,7,4,6,1,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[3,7,2,4,8,5,1,6]=>[3,7,2,4,8,5,1,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[7,2,1,4,6,3,8,5]=>[7,6,2,1,4,8,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[7,3,1,4,6,8,2,5]=>[3,1,7,4,2,6,8,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[3,2,6,1,5,7,4,8]=>[6,3,2,1,5,7,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[3,6,2,1,5,7,4,8]=>[6,3,2,5,1,7,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[6,3,2,1,5,7,4,8]=>[6,3,5,2,1,7,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[6,4,2,1,5,3,7,8]=>[4,6,5,2,1,3,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[4,2,6,1,5,3,7,8]=>[4,6,2,1,5,3,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[4,2,1,7,5,3,6,8]=>[4,7,5,2,1,3,6,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[7,4,1,5,6,2,3,8]=>[1,4,7,2,5,6,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[7,3,1,5,2,6,4,8]=>[5,3,7,6,1,2,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[7,2,1,5,3,6,8,4]=>[7,2,5,6,1,3,8,4]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[6,2,5,1,3,7,8,4]=>[6,2,1,5,7,3,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[6,3,5,1,2,7,4,8]=>[6,1,3,5,7,2,4,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[6,4,5,1,7,2,3,8]=>[1,4,6,5,7,2,3,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[5,2,6,4,1,3,7,8]=>[2,5,6,1,4,3,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[4,6,5,1,7,2,3,8]=>[1,6,4,5,7,2,3,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[3,6,5,1,2,7,4,8]=>[6,1,5,3,7,2,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[6,5,2,1,4,7,8,3]=>[6,2,5,4,1,7,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[6,5,3,1,4,7,2,8]=>[3,6,5,4,1,7,2,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[2,4,1,5,8,3,7,6]=>[8,4,2,5,1,3,7,6]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[3,4,5,1,2,8,7,6]=>[8,7,1,3,4,5,2,6]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[3,4,5,1,8,2,7,6]=>[8,3,4,5,1,7,2,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[2,4,8,5,3,1,7,6]=>[8,4,7,2,5,3,1,6]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[3,4,5,8,2,1,7,6]=>[8,3,4,5,2,7,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[3,4,5,2,8,1,7,6]=>[8,3,4,5,2,1,7,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[3,5,6,2,7,8,1,4]=>[3,2,5,6,1,7,8,4]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[2,4,8,6,3,7,1,5]=>[4,2,8,3,6,1,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[1,8,4,6,3,7,2,5]=>[1,8,4,3,6,2,7,5]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[1,8,4,6,3,7,5,2]=>[8,6,1,4,7,3,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[3,4,6,8,2,7,5,1]=>[6,3,4,8,2,7,5,1]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[3,4,6,2,8,7,5,1]=>[8,6,3,4,7,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[3,5,6,2,7,8,4,1]=>[5,3,6,7,2,8,4,1]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[4,5,6,7,2,8,3,1]=>[4,5,6,7,8,2,3,1]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[2,5,8,6,7,3,4,1]=>[2,8,3,5,6,7,4,1]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[1,8,5,6,7,3,4,2]=>[5,1,3,8,6,7,4,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[2,5,8,6,7,3,1,4]=>[2,8,3,5,6,7,1,4]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[3,5,6,8,7,2,1,4]=>[3,8,2,5,6,7,1,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[4,5,6,7,2,1,8,3]=>[4,5,6,7,8,2,1,3]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[2,4,1,6,8,7,3,5]=>[4,8,2,1,6,3,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[2,5,1,6,7,8,4,3]=>[5,6,2,7,1,8,4,3]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[2,5,1,6,7,4,8,3]=>[5,6,2,7,1,4,8,3]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[3,5,6,1,7,4,8,2]=>[5,3,6,7,4,1,8,2]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[2,4,8,6,1,7,5,3]=>[8,6,2,4,7,5,1,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[1,8,4,6,2,7,5,3]=>[8,6,1,4,7,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[2,5,8,6,7,1,4,3]=>[8,2,1,5,6,7,4,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,5,6,7,8,1,3,2]=>[4,1,5,6,7,8,3,2]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[4,5,6,7,3,1,8,2]=>[4,5,6,7,3,8,1,2]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[3,5,6,8,7,4,1,2]=>[1,8,5,3,6,7,4,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[1,8,5,6,7,4,2,3]=>[1,5,8,2,6,7,4,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[8,2,4,3,7,1,6,5]=>[8,2,4,7,3,1,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[5,8,2,4,3,7,1,6]=>[5,2,4,3,8,1,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[4,2,5,6,1,8,3,7]=>[4,5,2,6,1,8,3,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[6,1,5,7,3,2,4,8]=>[1,6,5,3,7,2,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[3,8,2,4,7,1,5,6]=>[3,2,4,1,5,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[3,6,8,2,4,7,1,5]=>[3,2,4,6,1,8,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[4,3,5,6,7,1,8,2]=>[4,3,5,6,7,8,1,2]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[3,7,1,5,6,8,2,4]=>[3,1,5,2,7,6,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[3,7,1,5,8,2,4,6]=>[3,1,2,7,5,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[8,3,2,4,6,1,5,7]=>[3,2,4,1,8,6,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[3,2,5,1,7,4,6,8]=>[5,3,2,1,7,4,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[3,2,5,1,8,4,6,7]=>[5,3,2,1,4,8,6,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[3,2,5,1,7,8,4,6]=>[5,3,2,1,7,4,8,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[4,2,5,6,1,7,8,3]=>[4,5,2,6,7,1,8,3]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[5,8,6,1,7,3,4,2]=>[5,1,8,6,7,3,4,2]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[6,1,5,8,7,3,2,4]=>[1,8,6,5,3,7,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[8,7,3,2,4,6,1,5]=>[3,2,4,8,7,1,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[3,2,5,1,6,4,7,8]=>[5,3,2,6,1,4,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[3,2,4,1,8,7,5,6]=>[3,8,7,2,4,1,5,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[3,2,5,1,6,8,7,4]=>[8,5,3,2,6,1,7,4]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[3,7,6,5,1,8,4,2]=>[7,6,5,3,8,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[6,5,1,7,8,4,2,3]=>[1,6,5,7,8,2,4,3]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[3,2,5,1,6,7,8,4]=>[5,3,2,6,1,7,8,4]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[3,2,4,1,8,5,6,7]=>[3,2,8,4,1,5,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[3,2,4,1,8,5,7,6]=>[8,3,7,2,4,1,5,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[8,3,2,4,7,6,1,5]=>[3,8,2,4,7,1,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[3,2,5,1,6,7,4,8]=>[5,3,2,6,1,7,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[6,5,1,7,4,2,3,8]=>[1,6,5,7,4,2,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[6,5,1,8,4,2,3,7]=>[1,6,5,4,8,2,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[4,2,6,1,8,3,7,5]=>[6,4,8,2,1,7,3,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[8,4,6,1,7,3,5,2]=>[4,6,1,8,7,3,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[7,4,2,3,8,5,1,6]=>[2,7,4,8,3,5,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[7,5,1,6,4,2,3,8]=>[1,5,7,6,4,2,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[3,2,5,1,7,6,4,8]=>[7,5,3,2,6,1,4,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[8,5,6,1,7,3,4,2]=>[5,1,6,8,7,3,4,2]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[3,6,8,5,1,7,4,2]=>[6,5,3,8,7,4,1,2]=>[[1,2],[3,4],[5,7],[6,8]]=>[3,3,2]
[8,5,1,6,7,4,2,3]=>[1,5,8,6,2,7,4,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[3,2,5,1,8,6,7,4]=>[8,3,5,2,6,1,7,4]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[7,8,5,1,6,4,2,3]=>[1,5,7,8,6,4,2,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[3,7,5,1,8,6,4,2]=>[7,8,5,3,6,4,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[3,2,5,1,8,7,6,4]=>[8,7,5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[6,5,7,3,1,8,4,2]=>[6,5,7,8,3,4,1,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[4,6,3,7,1,8,5,2]=>[6,4,7,3,8,5,1,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[4,6,3,7,5,1,8,2]=>[6,4,7,3,5,8,1,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[4,2,6,1,7,5,3,8]=>[6,4,7,2,5,1,3,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[2,5,7,4,1,6,8,3]=>[5,4,2,7,6,1,8,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[5,4,7,3,6,1,8,2]=>[5,4,3,7,6,8,1,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[5,4,7,8,3,1,6,2]=>[5,4,3,7,8,6,1,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[4,3,7,5,1,8,6,2]=>[7,8,4,3,5,6,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[6,4,3,8,5,1,7,2]=>[6,4,8,3,5,7,1,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[5,8,4,3,6,1,7,2]=>[5,4,3,8,6,7,1,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[5,4,3,6,7,1,8,2]=>[5,4,3,6,7,8,1,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[2,5,4,6,1,7,3,8]=>[5,4,2,6,7,1,3,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[3,2,5,8,1,6,7,4]=>[5,3,2,6,1,8,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[2,5,4,6,8,1,7,3]=>[5,4,2,6,8,1,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[5,2,8,4,1,6,7,3]=>[5,4,2,8,6,1,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[2,4,1,7,5,8,6,3]=>[7,8,4,2,5,1,6,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[2,4,1,7,5,3,8,6]=>[7,8,4,2,5,1,3,6]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[2,6,4,1,8,5,3,7]=>[6,4,8,2,5,1,3,7]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[2,5,8,4,1,6,3,7]=>[5,4,2,6,8,1,3,7]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[3,2,5,6,1,8,4,7]=>[5,3,2,6,1,8,4,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[4,8,3,2,6,1,5,7]=>[4,3,2,1,8,6,5,7]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[3,5,2,8,1,6,4,7]=>[5,3,2,8,1,6,4,7]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[3,2,1,6,8,5,4,7]=>[6,3,8,2,1,5,4,7]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[3,2,7,1,5,4,8,6]=>[7,8,3,2,1,5,4,6]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[3,2,7,1,5,8,6,4]=>[7,8,3,2,1,5,6,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[3,8,2,5,1,6,7,4]=>[5,3,2,8,1,6,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[4,3,8,2,6,7,1,5]=>[4,3,2,1,6,8,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,3,2,6,7,8,1,5]=>[4,3,2,1,6,7,8,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[4,3,2,6,7,1,5,8]=>[4,3,2,1,6,7,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[4,3,7,2,6,8,1,5]=>[4,3,2,1,7,6,8,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[4,3,7,8,2,6,1,5]=>[4,3,2,1,7,8,6,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[2,5,7,4,8,1,6,3]=>[5,4,2,7,8,1,6,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[3,2,5,7,8,1,6,4]=>[5,3,2,7,1,8,6,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[3,2,5,7,1,6,8,4]=>[5,3,2,7,1,6,8,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[3,2,5,7,1,6,4,8]=>[5,3,2,7,1,6,4,8]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[6,3,2,7,1,5,4,8]=>[6,3,7,2,1,5,4,8]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[6,3,2,7,8,1,5,4]=>[6,3,7,2,1,8,5,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[4,2,6,1,7,8,5,3]=>[6,4,7,2,8,1,5,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[6,5,2,1,7,8,4,3]=>[6,5,7,8,2,1,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[2,1,7,5,3,8,6,4]=>[7,8,5,6,2,1,3,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[6,2,1,8,5,3,7,4]=>[6,5,8,7,2,1,3,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[6,3,2,7,1,4,8,5]=>[6,3,7,2,1,8,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[6,3,2,1,4,7,8,5]=>[6,3,7,2,1,4,8,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[6,3,2,1,4,7,5,8]=>[6,3,7,2,1,4,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[3,5,2,1,7,4,6,8]=>[5,3,2,7,1,4,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[3,5,2,1,7,8,4,6]=>[5,3,2,7,1,4,8,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[5,8,4,2,1,7,3,6]=>[5,4,2,8,7,1,3,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[4,6,2,1,8,3,7,5]=>[6,4,8,2,7,1,3,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[2,4,1,7,3,8,6,5]=>[7,8,4,2,6,1,3,5]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[3,2,7,1,4,8,6,5]=>[7,8,3,2,1,6,4,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[3,5,8,2,1,7,4,6]=>[5,3,2,8,1,7,4,6]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[4,8,3,7,2,1,5,6]=>[4,3,2,1,8,7,5,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[4,3,7,2,8,1,5,6]=>[4,3,2,1,7,5,8,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[4,3,7,2,1,5,6,8]=>[4,3,2,1,7,5,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[4,8,3,2,7,1,5,6]=>[4,3,2,1,8,5,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[3,5,2,8,1,7,4,6]=>[5,3,2,8,1,4,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[6,3,2,8,1,4,7,5]=>[6,3,8,2,1,4,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[3,2,1,4,7,5,8,6]=>[7,8,3,2,1,4,5,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[4,8,3,2,1,5,6,7]=>[4,3,2,1,8,5,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[4,3,8,2,1,5,6,7]=>[4,3,2,1,5,8,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[1,9,8,7,6,5,4,3,2]=>[9,8,7,6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[9]
[1,10,9,8,7,6,5,4,3,2]=>[10,9,8,7,6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10]
[6,2,3,1,5,4,8,7]=>[8,6,2,3,5,1,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[8,4,5,2,3,1,7,6]=>[8,2,4,5,7,3,1,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[8,6,7,2,5,3,4,1]=>[2,6,3,8,7,5,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[8,2,5,3,4,1,7,6]=>[8,2,3,7,5,4,1,6]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[6,2,5,3,4,1,8,7]=>[8,2,6,3,5,4,1,7]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[6,1,5,2,4,3,8,7]=>[8,6,1,5,2,4,3,7]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[6,4,5,1,3,2,8,7]=>[8,4,1,6,5,3,2,7]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[6,1,5,3,4,2,8,7]=>[8,6,1,3,5,4,2,7]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[6,3,5,1,4,2,8,7]=>[8,3,6,1,5,4,2,7]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[8,3,5,2,4,1,7,6]=>[8,3,2,5,7,4,1,6]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[8,3,7,5,6,2,4,1]=>[3,2,8,5,7,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[8,3,7,2,4,1,6,5]=>[8,3,2,4,7,6,1,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[8,3,5,1,4,2,7,6]=>[8,3,1,7,5,4,2,6]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[8,1,5,3,4,2,7,6]=>[8,1,7,3,5,4,2,6]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[8,4,5,1,3,2,7,6]=>[8,4,1,5,7,3,2,6]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[2,1,8,4,5,3,7,6]=>[8,2,7,4,1,5,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[8,6,7,4,5,1,3,2]=>[4,1,6,8,7,5,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[8,6,7,1,5,3,4,2]=>[6,1,3,8,7,5,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[8,6,7,3,5,1,4,2]=>[3,6,1,8,7,5,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[8,3,7,5,6,1,4,2]=>[3,8,1,5,7,6,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[8,5,7,3,6,1,4,2]=>[3,5,8,1,7,6,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[8,3,7,4,6,2,5,1]=>[3,4,8,2,7,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[8,3,7,4,6,1,5,2]=>[3,4,8,7,1,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[8,3,7,1,6,4,5,2]=>[3,8,4,1,7,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[8,1,7,3,6,4,5,2]=>[8,1,3,7,4,6,5,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[8,1,7,5,6,3,4,2]=>[8,1,3,5,7,6,4,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[8,4,7,5,6,1,3,2]=>[4,1,8,5,7,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[2,1,8,4,7,5,6,3]=>[8,2,7,1,4,5,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[8,1,7,3,4,2,6,5]=>[8,1,7,3,4,6,2,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,1,7,3,6,2,5,4]=>[8,1,7,3,2,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[8,3,7,1,6,2,5,4]=>[8,3,1,7,2,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[8,3,7,2,6,4,5,1]=>[3,8,2,4,7,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[8,2,7,3,6,4,5,1]=>[2,8,3,7,4,6,5,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[8,2,7,3,6,1,5,4]=>[8,2,3,7,1,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[8,2,7,1,6,3,5,4]=>[8,2,7,1,3,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[8,1,7,2,4,3,6,5]=>[8,1,7,2,6,4,3,5]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[8,1,3,2,7,4,6,5]=>[8,1,7,3,6,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[2,1,8,3,7,4,6,5]=>[8,2,7,1,6,3,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,1,5,2,4,3,7,6]=>[8,1,7,5,2,4,3,6]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[8,2,7,1,4,3,6,5]=>[8,2,7,1,4,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[8,2,7,3,4,1,6,5]=>[8,2,3,7,4,6,1,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,2,7,5,6,3,4,1]=>[2,8,3,5,7,6,4,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[8,4,7,5,6,2,3,1]=>[2,4,8,5,7,6,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[8,4,7,2,3,1,6,5]=>[8,2,4,3,7,6,1,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[8,2,3,1,7,4,6,5]=>[8,2,7,3,1,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,2,3,1,5,4,7,6]=>[8,2,7,3,5,1,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[4,2,3,1,8,5,7,6]=>[8,2,7,4,3,1,5,6]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[4,1,3,2,8,6,7,5]=>[8,4,6,1,3,2,7,5]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[8,6,7,2,3,1,5,4]=>[6,2,3,8,7,5,1,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[8,2,3,1,7,5,6,4]=>[8,2,7,3,1,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[8,5,7,2,6,3,4,1]=>[2,5,8,3,7,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[8,5,7,2,6,1,4,3]=>[5,2,8,1,7,6,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[8,2,7,5,6,1,4,3]=>[8,2,1,5,7,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[8,6,7,2,5,1,4,3]=>[6,2,1,8,7,5,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[8,6,7,1,5,2,4,3]=>[6,1,8,2,7,5,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[8,6,7,1,3,2,5,4]=>[6,1,8,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[2,1,8,6,7,3,5,4]=>[8,2,6,1,7,3,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[2,1,8,3,7,5,6,4]=>[8,2,7,1,5,3,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[8,1,3,2,7,5,6,4]=>[8,1,7,3,5,2,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[8,1,7,5,6,2,4,3]=>[8,1,5,2,7,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[8,1,7,2,6,4,5,3]=>[8,1,7,2,4,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[8,2,7,1,6,4,5,3]=>[8,2,4,1,7,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[8,2,7,4,6,1,5,3]=>[4,2,8,7,1,6,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[8,2,7,4,6,3,5,1]=>[2,8,4,3,7,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[8,4,7,2,6,3,5,1]=>[4,2,8,3,7,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[8,4,7,2,6,1,5,3]=>[4,8,2,1,7,6,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[8,4,7,1,6,2,5,3]=>[4,8,1,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[8,1,7,4,6,2,5,3]=>[8,1,4,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[8,5,7,1,6,2,4,3]=>[5,1,8,7,2,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[2,1,8,5,7,3,6,4]=>[8,2,5,7,1,3,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[8,5,7,4,6,1,3,2]=>[5,1,4,8,7,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[8,5,7,1,6,3,4,2]=>[5,1,8,3,7,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[8,1,7,4,6,3,5,2]=>[8,1,4,3,7,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[8,4,7,1,6,3,5,2]=>[4,8,1,3,7,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[8,4,7,3,6,1,5,2]=>[4,3,8,1,7,6,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[6,5,8,1,3,2,7,4]=>[6,5,1,8,3,7,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[1,5,8,7,3,6,2,4]=>[3,5,8,1,2,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[1,7,2,8,4,6,5,3]=>[7,8,1,6,4,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[6,7,2,8,4,1,5,3]=>[6,2,7,8,4,5,1,3]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[3,6,2,8,4,5,7,1]=>[3,6,2,4,8,5,7,1]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[2,6,1,8,4,5,7,3]=>[6,2,4,1,8,5,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[2,8,4,6,1,5,7,3]=>[4,2,8,1,6,5,7,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[3,1,6,8,4,5,7,2]=>[3,6,4,1,5,8,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[2,3,6,8,4,5,7,1]=>[2,6,3,4,5,8,7,1]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[6,3,7,8,4,1,5,2]=>[3,6,7,4,8,5,1,2]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[3,6,7,8,4,2,5,1]=>[3,6,4,7,8,2,5,1]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[5,6,8,7,3,2,1,4]=>[3,8,5,6,7,2,1,4]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[2,8,3,7,1,6,5,4]=>[8,7,2,3,6,1,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[5,2,8,7,3,6,1,4]=>[2,5,8,3,7,1,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[7,2,1,8,4,6,5,3]=>[7,8,2,6,4,1,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[5,2,7,8,1,4,6,3]=>[5,2,4,1,7,8,6,3]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[4,2,1,3,8,5,6,7]=>[2,4,8,1,3,5,6,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[7,2,5,8,3,4,6,1]=>[2,3,7,5,4,8,6,1]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[6,2,8,5,4,3,1,7]=>[6,5,8,4,2,3,1,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[2,8,3,5,4,1,6,7]=>[2,5,8,3,4,1,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[2,8,4,5,3,1,6,7]=>[2,4,8,5,3,1,6,7]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[7,3,5,8,2,4,6,1]=>[3,2,5,7,4,8,6,1]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[4,3,1,2,8,5,6,7]=>[1,4,8,3,2,5,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[3,4,2,1,8,5,6,7]=>[3,4,8,2,1,5,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[2,7,6,8,4,3,5,1]=>[2,7,6,8,4,3,5,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[3,7,5,8,1,4,6,2]=>[3,7,1,5,4,8,6,2]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[1,7,5,8,3,4,6,2]=>[5,1,7,3,4,8,6,2]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[4,6,8,5,1,3,2,7]=>[6,1,4,5,8,3,2,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[5,6,8,1,4,3,2,7]=>[5,6,1,4,8,3,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[7,5,8,6,3,4,2,1]=>[3,7,8,5,6,4,2,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[4,6,8,1,5,3,2,7]=>[4,6,1,8,5,3,2,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[1,6,8,4,5,3,2,7]=>[6,4,1,5,8,3,2,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[1,7,3,8,5,4,6,2]=>[5,7,8,3,1,4,6,2]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[3,7,1,8,5,4,6,2]=>[3,7,8,5,4,1,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[2,7,3,8,4,6,5,1]=>[7,2,8,6,3,4,5,1]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[7,1,3,8,4,6,5,2]=>[7,8,1,3,6,4,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[5,7,8,4,3,6,1,2]=>[1,5,4,7,8,3,6,2]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[2,8,7,4,1,6,5,3]=>[8,7,2,6,4,5,1,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[4,1,3,2,8,5,6,7]=>[4,1,8,3,2,5,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[2,8,4,3,5,1,6,7]=>[4,2,3,8,5,1,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[2,8,3,4,5,1,6,7]=>[2,3,4,5,8,1,6,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[4,2,3,1,8,5,6,7]=>[2,4,8,3,1,5,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[3,2,1,4,8,5,6,7]=>[3,2,8,1,4,5,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[5,1,3,2,4,8,6,7]=>[1,8,5,3,2,4,6,7]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[2,8,1,5,3,4,7,6]=>[8,2,1,7,3,5,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[1,2,8,4,5,3,7,6]=>[8,1,7,4,2,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[1,4,2,8,5,3,6,7]=>[4,5,8,1,2,3,6,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[1,8,4,2,5,3,6,7]=>[4,5,1,8,2,3,6,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[8,1,5,3,2,4,6,7]=>[1,5,3,8,2,4,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[3,8,1,5,2,4,6,7]=>[3,1,2,5,8,4,6,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[3,5,1,4,8,2,6,7]=>[3,5,1,4,2,6,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[1,5,2,8,4,3,6,7]=>[5,4,1,8,2,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[1,2,8,5,4,3,6,7]=>[5,4,8,1,2,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[1,2,5,4,3,8,6,7]=>[5,8,4,1,2,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[1,2,4,8,5,3,7,6]=>[8,4,7,1,2,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[1,2,7,4,8,5,3,6]=>[4,7,8,1,2,5,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[1,5,2,7,8,4,3,6]=>[5,1,7,8,2,4,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[5,1,2,7,4,8,3,6]=>[5,1,7,4,2,3,8,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[8,3,5,1,4,7,2,6]=>[3,5,1,4,8,2,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[2,8,1,5,4,7,3,6]=>[2,8,5,1,4,3,7,6]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[1,2,8,5,7,4,3,6]=>[5,8,1,2,7,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[1,2,4,8,7,5,3,6]=>[4,8,7,1,2,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[2,8,1,4,3,7,6,5]=>[8,7,2,6,1,4,3,5]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[6,1,2,8,7,4,3,5]=>[1,8,6,7,4,2,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[6,4,1,2,8,7,3,5]=>[1,8,6,4,2,7,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[3,6,4,8,1,7,2,5]=>[3,6,4,1,8,2,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[7,6,1,4,2,8,3,5]=>[1,7,6,4,2,8,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[7,1,6,2,8,4,3,5]=>[1,7,6,8,4,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[1,6,7,2,8,4,3,5]=>[1,6,7,8,4,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[6,7,1,4,2,8,3,5]=>[1,6,7,4,2,8,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[6,3,7,1,4,8,2,5]=>[3,1,6,7,4,2,8,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[3,7,8,1,5,2,4,6]=>[3,1,2,7,5,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[7,1,2,8,5,3,4,6]=>[1,2,7,8,5,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[1,7,2,8,4,5,3,6]=>[1,7,4,8,2,5,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[1,4,2,7,8,5,3,6]=>[4,7,1,8,2,5,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[6,1,2,8,4,3,7,5]=>[6,8,1,7,4,2,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[6,4,1,2,8,3,7,5]=>[6,8,1,4,2,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[7,6,1,3,2,4,8,5]=>[7,1,6,3,8,2,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[6,7,1,3,2,4,8,5]=>[6,1,7,3,8,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[1,2,7,3,5,8,4,6]=>[1,7,5,2,3,4,8,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[1,2,7,5,8,3,4,6]=>[1,5,7,2,3,4,8,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[5,8,1,3,7,2,4,6]=>[1,5,3,2,4,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[1,2,5,8,7,3,4,6]=>[1,5,8,2,3,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[1,2,5,8,3,7,4,6]=>[5,1,8,2,3,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[2,8,1,7,3,5,4,6]=>[2,8,1,7,3,5,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[8,6,1,3,2,4,7,5]=>[8,1,3,6,7,2,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[4,2,8,1,7,3,6,5]=>[8,4,2,7,1,3,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[2,8,1,7,4,3,6,5]=>[8,2,7,6,1,4,3,5]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[7,1,2,8,4,3,6,5]=>[7,1,8,6,4,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[1,2,8,4,7,5,3,6]=>[1,8,7,4,2,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[1,2,8,7,4,5,3,6]=>[1,8,4,7,2,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[2,8,1,7,5,3,4,6]=>[2,1,8,7,3,5,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[8,3,7,1,5,2,4,6]=>[3,1,2,8,5,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[3,8,6,1,4,7,2,5]=>[3,1,8,4,6,2,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[8,6,1,4,2,7,3,5]=>[1,8,4,6,2,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[8,1,6,2,7,4,3,5]=>[1,8,6,4,7,2,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[7,1,2,8,6,4,3,5]=>[1,7,8,6,4,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[7,4,1,2,8,6,3,5]=>[1,7,8,4,2,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[3,7,4,8,1,6,2,5]=>[3,4,7,1,8,2,6,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[3,4,8,7,1,6,2,5]=>[3,4,8,1,7,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[4,2,8,1,7,6,3,5]=>[4,8,2,7,1,3,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[2,8,1,7,6,4,3,5]=>[2,8,7,6,1,4,3,5]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[7,8,3,4,1,5,2,6]=>[3,4,5,7,8,1,2,6]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[7,8,3,4,1,6,2,5]=>[3,4,1,7,8,6,2,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[6,7,3,4,1,8,2,5]=>[3,4,6,7,1,8,2,5]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[5,7,3,4,1,6,2,8]=>[3,5,4,7,6,1,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[5,6,2,8,3,4,1,7]=>[2,5,6,3,8,4,1,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[4,6,2,8,3,5,1,7]=>[4,2,6,3,8,5,1,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[4,8,3,5,1,7,2,6]=>[4,3,5,1,8,7,2,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[4,5,1,8,3,7,2,6]=>[4,5,1,8,3,2,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[4,6,2,7,3,8,1,5]=>[4,2,6,7,3,1,8,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[5,6,3,8,4,7,1,2]=>[1,5,6,3,8,4,7,2]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[4,6,2,8,3,7,1,5]=>[4,2,6,3,8,1,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[9,2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,9,7,8]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,7]
[10,2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,10,8,9]=>[[1,3,4,5,6,7,8,9],[2,10]]=>[2,8]
[9,2,3,1,4,5,6,7,8]=>[2,3,1,4,5,6,9,7,8]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,7]
[4,2,3,5,6,7,8,9,1]=>[2,4,3,5,6,7,8,9,1]=>[[1,3,5,6,7,8,9],[2],[4]]=>[2,2,5]
[3,4,2,5,6,7,8,9,1]=>[3,4,2,5,6,7,8,9,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,6]
[3,2,4,5,6,7,8,9,10,1]=>[3,2,4,5,6,7,8,9,10,1]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>[3,7]
[6,5,3,2,1,4,8,7]=>[8,3,6,5,2,1,4,7]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[4,6,3,5,2,1,8,7]=>[8,4,3,6,5,2,1,7]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[8,7,3,5,2,4,1,6]=>[3,2,5,8,7,4,1,6]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[6,8,2,4,5,7,3,1]=>[4,2,6,5,8,7,3,1]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[8,7,2,4,5,3,1,6]=>[4,2,5,8,7,3,1,6]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[3,6,1,4,5,2,8,7]=>[8,3,4,1,6,5,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[8,3,7,4,5,2,1,6]=>[3,4,8,5,7,2,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[6,3,8,4,5,7,2,1]=>[3,6,4,8,5,7,2,1]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[5,8,7,4,3,6,2,1]=>[5,8,4,7,3,6,2,1]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[2,8,7,4,3,6,1,5]=>[4,2,8,7,3,1,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[8,1,7,4,3,6,2,5]=>[1,8,4,7,3,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[8,7,3,5,1,4,2,6]=>[3,1,8,5,7,4,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[2,1,6,8,5,7,4,3]=>[6,5,8,2,1,7,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>[2,4,2]
[6,8,3,5,1,7,4,2]=>[6,3,5,8,7,4,1,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[5,1,8,4,7,6,3,2]=>[8,5,7,4,1,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[2,5,8,4,7,6,3,1]=>[8,5,4,2,7,6,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[4,3,8,1,5,6,7,2]=>[4,3,5,1,6,8,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[4,8,1,3,5,6,7,2]=>[4,1,3,5,6,8,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[5,8,7,4,1,6,3,2]=>[5,8,4,7,6,3,1,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[5,8,3,6,1,4,7,2]=>[3,5,6,1,8,4,7,2]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[4,8,3,6,1,2,7,5]=>[6,1,4,3,8,7,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[3,8,7,4,1,6,2,5]=>[3,4,8,7,1,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[3,8,1,2,5,6,7,4]=>[5,1,3,2,6,8,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[8,7,1,4,2,6,3,5]=>[1,8,4,2,7,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,6,3,1,2,4,7,5]=>[6,1,3,8,7,2,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[8,1,7,4,5,2,3,6]=>[1,2,8,4,5,7,3,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[2,8,7,4,5,1,3,6]=>[2,1,4,8,7,5,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[8,7,2,4,1,6,3,5]=>[4,2,1,8,7,6,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[5,8,3,6,2,4,7,1]=>[3,5,2,6,8,4,7,1]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[8,6,3,2,1,4,7,5]=>[6,3,8,7,2,1,4,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[8,7,3,5,2,1,4,6]=>[3,2,5,8,7,1,4,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[5,8,3,6,2,1,7,4]=>[5,6,3,8,7,2,1,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[5,8,7,4,2,6,1,3]=>[2,5,8,4,7,1,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[2,6,8,4,5,7,1,3]=>[2,1,6,4,5,8,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,1,8,4,5,7,2,3]=>[1,6,2,4,8,5,7,3]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[6,8,3,5,1,7,2,4]=>[3,1,6,5,8,7,2,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[2,1,5,8,3,6,7,4]=>[5,6,2,1,3,8,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[5,8,3,6,1,2,7,4]=>[5,1,6,3,8,7,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[4,1,8,2,5,6,7,3]=>[4,5,1,2,8,6,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[2,4,8,1,5,6,7,3]=>[4,2,5,1,6,8,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[4,8,2,1,5,6,7,3]=>[4,5,2,1,8,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[3,4,8,2,5,6,7,1]=>[3,4,2,5,6,8,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[5,8,1,4,7,6,2,3]=>[1,8,5,2,4,7,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[5,8,3,1,6,2,7,4]=>[5,6,3,8,7,1,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[4,5,3,8,6,1,7,2]=>[4,8,5,3,6,7,1,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[3,4,1,8,5,6,7,2]=>[3,4,8,5,1,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[2,4,6,8,10,1,3,5,7,9]=>[2,1,4,3,6,5,8,7,10,9]=>[[1,3,5,7,9],[2,4,6,8,10]]=>[2,2,2,2,2]
[2,4,6,9,10,1,3,5,7,8]=>[2,1,4,3,6,5,7,9,10,8]=>[[1,3,5,7,8,10],[2,4,6,9]]=>[2,2,2,3,1]
[3,4,6,9,10,1,2,5,7,8]=>[1,3,4,2,6,5,7,9,10,8]=>[[1,2,4,5,7,8,10],[3,6,9]]=>[3,3,3,1]
[3,4,7,9,10,1,2,5,6,8]=>[1,3,4,2,5,7,6,9,10,8]=>[[1,2,4,5,6,8,10],[3,7,9]]=>[3,4,2,1]
[3,4,8,9,10,1,2,5,6,7]=>[1,3,4,2,5,6,8,9,10,7]=>[[1,2,4,5,6,7,9,10],[3,8]]=>[3,5,2]
[3,5,6,9,10,1,2,4,7,8]=>[1,3,2,5,6,4,7,9,10,8]=>[[1,2,4,6,7,8,10],[3,5,9]]=>[3,2,4,1]
[3,5,7,9,10,1,2,4,6,8]=>[1,3,2,5,4,7,6,9,10,8]=>[[1,2,4,6,8,10],[3,5,7,9]]=>[3,2,2,2,1]
[3,5,8,9,10,1,2,4,6,7]=>[1,3,2,5,4,6,8,9,10,7]=>[[1,2,4,6,7,9,10],[3,5,8]]=>[3,2,3,2]
[3,6,7,9,10,1,2,4,5,8]=>[1,3,2,4,6,7,5,9,10,8]=>[[1,2,4,5,7,8,10],[3,6,9]]=>[3,3,3,1]
[3,6,8,9,10,1,2,4,5,7]=>[1,3,2,4,6,5,8,9,10,7]=>[[1,2,4,5,7,9,10],[3,6,8]]=>[3,3,2,2]
[3,7,8,9,10,1,2,4,5,6]=>[1,3,2,4,5,7,8,9,10,6]=>[[1,2,4,5,6,8,9,10],[3,7]]=>[3,4,3]
[4,5,6,9,10,1,2,3,7,8]=>[1,2,4,5,6,3,7,9,10,8]=>[[1,2,3,5,6,7,8,10],[4,9]]=>[4,5,1]
[4,5,7,9,10,1,2,3,6,8]=>[1,2,4,5,3,7,6,9,10,8]=>[[1,2,3,5,6,8,10],[4,7,9]]=>[4,3,2,1]
[4,5,8,9,10,1,2,3,6,7]=>[1,2,4,5,3,6,8,9,10,7]=>[[1,2,3,5,6,7,9,10],[4,8]]=>[4,4,2]
[4,6,7,9,10,1,2,3,5,8]=>[1,2,4,3,6,7,5,9,10,8]=>[[1,2,3,5,7,8,10],[4,6,9]]=>[4,2,3,1]
[4,6,8,9,10,1,2,3,5,7]=>[1,2,4,3,6,5,8,9,10,7]=>[[1,2,3,5,7,9,10],[4,6,8]]=>[4,2,2,2]
[4,7,8,9,10,1,2,3,5,6]=>[1,2,4,3,5,7,8,9,10,6]=>[[1,2,3,5,6,8,9,10],[4,7]]=>[4,3,3]
[5,6,7,9,10,1,2,3,4,8]=>[1,2,3,5,6,7,4,9,10,8]=>[[1,2,3,4,6,7,8,10],[5,9]]=>[5,4,1]
[5,6,8,9,10,1,2,3,4,7]=>[1,2,3,5,6,4,8,9,10,7]=>[[1,2,3,4,6,7,9,10],[5,8]]=>[5,3,2]
[5,7,8,9,10,1,2,3,4,6]=>[1,2,3,5,4,7,8,9,10,6]=>[[1,2,3,4,6,8,9,10],[5,7]]=>[5,2,3]
[2,4,6,8,10,12,1,3,5,7,9,11]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[[1,3,5,7,9,11],[2,4,6,8,10,12]]=>[2,2,2,2,2,2]
[3,4,6,8,11,12,1,2,5,7,9,10]=>[1,3,4,2,6,5,8,7,9,11,12,10]=>[[1,2,4,5,7,9,10,12],[3,6,8,11]]=>[3,3,2,3,1]
[3,4,6,9,11,12,1,2,5,7,8,10]=>[1,3,4,2,6,5,7,9,8,11,12,10]=>[[1,2,4,5,7,8,10,12],[3,6,9,11]]=>[3,3,3,2,1]
[3,4,6,10,11,12,1,2,5,7,8,9]=>[1,3,4,2,6,5,7,8,10,11,12,9]=>[[1,2,4,5,7,8,9,11,12],[3,6,10]]=>[3,3,4,2]
[3,4,7,8,11,12,1,2,5,6,9,10]=>[1,3,4,2,5,7,8,6,9,11,12,10]=>[[1,2,4,5,6,8,9,10,12],[3,7,11]]=>[3,4,4,1]
[3,4,7,9,11,12,1,2,5,6,8,10]=>[1,3,4,2,5,7,6,9,8,11,12,10]=>[[1,2,4,5,6,8,10,12],[3,7,9,11]]=>[3,4,2,2,1]
[3,4,7,10,11,12,1,2,5,6,8,9]=>[1,3,4,2,5,7,6,8,10,11,12,9]=>[[1,2,4,5,6,8,9,11,12],[3,7,10]]=>[3,4,3,2]
[3,4,8,9,11,12,1,2,5,6,7,10]=>[1,3,4,2,5,6,8,9,7,11,12,10]=>[[1,2,4,5,6,7,9,10,12],[3,8,11]]=>[3,5,3,1]
[3,4,8,10,11,12,1,2,5,6,7,9]=>[1,3,4,2,5,6,8,7,10,11,12,9]=>[[1,2,4,5,6,7,9,11,12],[3,8,10]]=>[3,5,2,2]
[3,4,9,10,11,12,1,2,5,6,7,8]=>[1,3,4,2,5,6,7,9,10,11,12,8]=>[[1,2,4,5,6,7,8,10,11,12],[3,9]]=>[3,6,3]
[3,5,6,8,11,12,1,2,4,7,9,10]=>[1,3,2,5,6,4,8,7,9,11,12,10]=>[[1,2,4,6,7,9,10,12],[3,5,8,11]]=>[3,2,3,3,1]
[3,5,6,9,11,12,1,2,4,7,8,10]=>[1,3,2,5,6,4,7,9,8,11,12,10]=>[[1,2,4,6,7,8,10,12],[3,5,9,11]]=>[3,2,4,2,1]
[3,5,6,10,11,12,1,2,4,7,8,9]=>[1,3,2,5,6,4,7,8,10,11,12,9]=>[[1,2,4,6,7,8,9,11,12],[3,5,10]]=>[3,2,5,2]
[3,5,7,8,11,12,1,2,4,6,9,10]=>[1,3,2,5,4,7,8,6,9,11,12,10]=>[[1,2,4,6,8,9,10,12],[3,5,7,11]]=>[3,2,2,4,1]
[3,5,7,9,11,12,1,2,4,6,8,10]=>[1,3,2,5,4,7,6,9,8,11,12,10]=>[[1,2,4,6,8,10,12],[3,5,7,9,11]]=>[3,2,2,2,2,1]
[3,5,7,10,11,12,1,2,4,6,8,9]=>[1,3,2,5,4,7,6,8,10,11,12,9]=>[[1,2,4,6,8,9,11,12],[3,5,7,10]]=>[3,2,2,3,2]
[3,5,8,9,11,12,1,2,4,6,7,10]=>[1,3,2,5,4,6,8,9,7,11,12,10]=>[[1,2,4,6,7,9,10,12],[3,5,8,11]]=>[3,2,3,3,1]
[3,5,8,10,11,12,1,2,4,6,7,9]=>[1,3,2,5,4,6,8,7,10,11,12,9]=>[[1,2,4,6,7,9,11,12],[3,5,8,10]]=>[3,2,3,2,2]
[3,5,9,10,11,12,1,2,4,6,7,8]=>[1,3,2,5,4,6,7,9,10,11,12,8]=>[[1,2,4,6,7,8,10,11,12],[3,5,9]]=>[3,2,4,3]
[3,6,7,8,11,12,1,2,4,5,9,10]=>[1,3,2,4,6,7,8,5,9,11,12,10]=>[[1,2,4,5,7,8,9,10,12],[3,6,11]]=>[3,3,5,1]
[3,6,7,9,11,12,1,2,4,5,8,10]=>[1,3,2,4,6,7,5,9,8,11,12,10]=>[[1,2,4,5,7,8,10,12],[3,6,9,11]]=>[3,3,3,2,1]
[3,6,7,10,11,12,1,2,4,5,8,9]=>[1,3,2,4,6,7,5,8,10,11,12,9]=>[[1,2,4,5,7,8,9,11,12],[3,6,10]]=>[3,3,4,2]
[3,6,8,9,11,12,1,2,4,5,7,10]=>[1,3,2,4,6,5,8,9,7,11,12,10]=>[[1,2,4,5,7,9,10,12],[3,6,8,11]]=>[3,3,2,3,1]
[3,6,8,10,11,12,1,2,4,5,7,9]=>[1,3,2,4,6,5,8,7,10,11,12,9]=>[[1,2,4,5,7,9,11,12],[3,6,8,10]]=>[3,3,2,2,2]
[3,6,9,10,11,12,1,2,4,5,7,8]=>[1,3,2,4,6,5,7,9,10,11,12,8]=>[[1,2,4,5,7,8,10,11,12],[3,6,9]]=>[3,3,3,3]
[3,7,8,9,11,12,1,2,4,5,6,10]=>[1,3,2,4,5,7,8,9,6,11,12,10]=>[[1,2,4,5,6,8,9,10,12],[3,7,11]]=>[3,4,4,1]
[3,7,8,10,11,12,1,2,4,5,6,9]=>[1,3,2,4,5,7,8,6,10,11,12,9]=>[[1,2,4,5,6,8,9,11,12],[3,7,10]]=>[3,4,3,2]
[3,7,9,10,11,12,1,2,4,5,6,8]=>[1,3,2,4,5,7,6,9,10,11,12,8]=>[[1,2,4,5,6,8,10,11,12],[3,7,9]]=>[3,4,2,3]
[3,8,9,10,11,12,1,2,4,5,6,7]=>[1,3,2,4,5,6,8,9,10,11,12,7]=>[[1,2,4,5,6,7,9,10,11,12],[3,8]]=>[3,5,4]
[4,5,6,8,11,12,1,2,3,7,9,10]=>[1,2,4,5,6,3,8,7,9,11,12,10]=>[[1,2,3,5,6,7,9,10,12],[4,8,11]]=>[4,4,3,1]
[4,5,6,9,11,12,1,2,3,7,8,10]=>[1,2,4,5,6,3,7,9,8,11,12,10]=>[[1,2,3,5,6,7,8,10,12],[4,9,11]]=>[4,5,2,1]
[4,5,6,10,11,12,1,2,3,7,8,9]=>[1,2,4,5,6,3,7,8,10,11,12,9]=>[[1,2,3,5,6,7,8,9,11,12],[4,10]]=>[4,6,2]
[4,5,7,8,11,12,1,2,3,6,9,10]=>[1,2,4,5,3,7,8,6,9,11,12,10]=>[[1,2,3,5,6,8,9,10,12],[4,7,11]]=>[4,3,4,1]
[4,5,7,9,11,12,1,2,3,6,8,10]=>[1,2,4,5,3,7,6,9,8,11,12,10]=>[[1,2,3,5,6,8,10,12],[4,7,9,11]]=>[4,3,2,2,1]
[4,5,7,10,11,12,1,2,3,6,8,9]=>[1,2,4,5,3,7,6,8,10,11,12,9]=>[[1,2,3,5,6,8,9,11,12],[4,7,10]]=>[4,3,3,2]
[4,5,8,9,11,12,1,2,3,6,7,10]=>[1,2,4,5,3,6,8,9,7,11,12,10]=>[[1,2,3,5,6,7,9,10,12],[4,8,11]]=>[4,4,3,1]
[4,5,8,10,11,12,1,2,3,6,7,9]=>[1,2,4,5,3,6,8,7,10,11,12,9]=>[[1,2,3,5,6,7,9,11,12],[4,8,10]]=>[4,4,2,2]
[4,5,9,10,11,12,1,2,3,6,7,8]=>[1,2,4,5,3,6,7,9,10,11,12,8]=>[[1,2,3,5,6,7,8,10,11,12],[4,9]]=>[4,5,3]
[4,6,7,8,11,12,1,2,3,5,9,10]=>[1,2,4,3,6,7,8,5,9,11,12,10]=>[[1,2,3,5,7,8,9,10,12],[4,6,11]]=>[4,2,5,1]
[4,6,7,9,11,12,1,2,3,5,8,10]=>[1,2,4,3,6,7,5,9,8,11,12,10]=>[[1,2,3,5,7,8,10,12],[4,6,9,11]]=>[4,2,3,2,1]
[4,6,7,10,11,12,1,2,3,5,8,9]=>[1,2,4,3,6,7,5,8,10,11,12,9]=>[[1,2,3,5,7,8,9,11,12],[4,6,10]]=>[4,2,4,2]
[4,6,8,9,11,12,1,2,3,5,7,10]=>[1,2,4,3,6,5,8,9,7,11,12,10]=>[[1,2,3,5,7,9,10,12],[4,6,8,11]]=>[4,2,2,3,1]
[4,6,8,10,11,12,1,2,3,5,7,9]=>[1,2,4,3,6,5,8,7,10,11,12,9]=>[[1,2,3,5,7,9,11,12],[4,6,8,10]]=>[4,2,2,2,2]
[4,6,9,10,11,12,1,2,3,5,7,8]=>[1,2,4,3,6,5,7,9,10,11,12,8]=>[[1,2,3,5,7,8,10,11,12],[4,6,9]]=>[4,2,3,3]
[4,7,8,9,11,12,1,2,3,5,6,10]=>[1,2,4,3,5,7,8,9,6,11,12,10]=>[[1,2,3,5,6,8,9,10,12],[4,7,11]]=>[4,3,4,1]
[4,7,8,10,11,12,1,2,3,5,6,9]=>[1,2,4,3,5,7,8,6,10,11,12,9]=>[[1,2,3,5,6,8,9,11,12],[4,7,10]]=>[4,3,3,2]
[4,7,9,10,11,12,1,2,3,5,6,8]=>[1,2,4,3,5,7,6,9,10,11,12,8]=>[[1,2,3,5,6,8,10,11,12],[4,7,9]]=>[4,3,2,3]
[4,8,9,10,11,12,1,2,3,5,6,7]=>[1,2,4,3,5,6,8,9,10,11,12,7]=>[[1,2,3,5,6,7,9,10,11,12],[4,8]]=>[4,4,4]
[5,6,7,8,11,12,1,2,3,4,9,10]=>[1,2,3,5,6,7,8,4,9,11,12,10]=>[[1,2,3,4,6,7,8,9,10,12],[5,11]]=>[5,6,1]
[5,6,7,9,11,12,1,2,3,4,8,10]=>[1,2,3,5,6,7,4,9,8,11,12,10]=>[[1,2,3,4,6,7,8,10,12],[5,9,11]]=>[5,4,2,1]
[5,6,7,10,11,12,1,2,3,4,8,9]=>[1,2,3,5,6,7,4,8,10,11,12,9]=>[[1,2,3,4,6,7,8,9,11,12],[5,10]]=>[5,5,2]
[5,6,8,9,11,12,1,2,3,4,7,10]=>[1,2,3,5,6,4,8,9,7,11,12,10]=>[[1,2,3,4,6,7,9,10,12],[5,8,11]]=>[5,3,3,1]
[5,6,8,10,11,12,1,2,3,4,7,9]=>[1,2,3,5,6,4,8,7,10,11,12,9]=>[[1,2,3,4,6,7,9,11,12],[5,8,10]]=>[5,3,2,2]
[5,6,9,10,11,12,1,2,3,4,7,8]=>[1,2,3,5,6,4,7,9,10,11,12,8]=>[[1,2,3,4,6,7,8,10,11,12],[5,9]]=>[5,4,3]
[5,7,8,9,11,12,1,2,3,4,6,10]=>[1,2,3,5,4,7,8,9,6,11,12,10]=>[[1,2,3,4,6,8,9,10,12],[5,7,11]]=>[5,2,4,1]
[5,7,8,10,11,12,1,2,3,4,6,9]=>[1,2,3,5,4,7,8,6,10,11,12,9]=>[[1,2,3,4,6,8,9,11,12],[5,7,10]]=>[5,2,3,2]
[5,7,9,10,11,12,1,2,3,4,6,8]=>[1,2,3,5,4,7,6,9,10,11,12,8]=>[[1,2,3,4,6,8,10,11,12],[5,7,9]]=>[5,2,2,3]
[5,8,9,10,11,12,1,2,3,4,6,7]=>[1,2,3,5,4,6,8,9,10,11,12,7]=>[[1,2,3,4,6,7,9,10,11,12],[5,8]]=>[5,3,4]
[6,7,8,9,11,12,1,2,3,4,5,10]=>[1,2,3,4,6,7,8,9,5,11,12,10]=>[[1,2,3,4,5,7,8,9,10,12],[6,11]]=>[6,5,1]
[6,7,8,10,11,12,1,2,3,4,5,9]=>[1,2,3,4,6,7,8,5,10,11,12,9]=>[[1,2,3,4,5,7,8,9,11,12],[6,10]]=>[6,4,2]
[6,7,9,10,11,12,1,2,3,4,5,8]=>[1,2,3,4,6,7,5,9,10,11,12,8]=>[[1,2,3,4,5,7,8,10,11,12],[6,9]]=>[6,3,3]
[6,8,9,10,11,12,1,2,3,4,5,7]=>[1,2,3,4,6,5,8,9,10,11,12,7]=>[[1,2,3,4,5,7,9,10,11,12],[6,8]]=>[6,2,4]
[7,8,9,10,11,12,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,9,10,11,12,6]=>[[1,2,3,4,5,6,8,9,10,11,12],[7]]=>[7,5]
[4,5,7,6,2,3,8,1]=>[2,7,4,5,6,3,8,1]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[3,5,7,2,6,4,8,1]=>[5,3,7,2,6,4,8,1]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[2,5,7,3,6,4,8,1]=>[5,7,2,3,6,4,8,1]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[1,5,7,3,6,8,4,2]=>[5,7,3,1,6,8,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[8,4,3,7,6,1,5,2]=>[4,8,3,7,6,1,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[8,3,4,7,6,1,5,2]=>[3,8,4,7,1,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[8,2,4,7,1,6,5,3]=>[8,4,2,7,1,6,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[3,1,4,7,6,8,5,2]=>[7,6,3,4,1,8,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[4,8,3,7,6,1,5,2]=>[4,8,3,7,1,6,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[3,8,4,7,6,1,5,2]=>[3,8,4,7,6,1,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[2,8,4,7,1,6,5,3]=>[8,4,2,7,6,1,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[8,1,4,7,2,6,5,3]=>[8,4,7,1,2,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[8,1,3,2,7,6,5,4]=>[8,7,6,1,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[3,8,2,1,7,6,5,4]=>[8,7,6,3,2,5,1,4]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[6,7,1,2,8,5,4,3]=>[6,7,8,1,5,4,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[8,3,2,1,7,6,5,4]=>[8,7,6,3,5,2,1,4]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[8,4,2,7,1,6,5,3]=>[8,4,7,2,6,1,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[8,5,7,2,1,6,4,3]=>[5,8,7,2,6,4,1,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[1,5,7,2,8,6,4,3]=>[7,5,8,6,1,4,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[5,4,7,6,8,1,3,2]=>[7,1,5,4,6,8,3,2]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[8,5,7,1,2,6,4,3]=>[5,8,1,7,2,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[1,4,8,7,2,6,5,3]=>[8,4,7,6,1,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[4,3,8,7,6,1,5,2]=>[4,8,7,3,6,1,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[4,2,8,7,1,6,5,3]=>[8,4,7,6,2,1,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[3,2,8,1,7,6,5,4]=>[8,7,6,3,2,1,5,4]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[8,3,1,2,7,6,5,4]=>[8,7,6,1,3,5,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[8,2,1,3,7,6,5,4]=>[8,7,6,2,1,5,3,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[1,2,8,3,7,6,5,4]=>[8,7,6,1,5,2,3,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[2,1,8,3,7,6,5,4]=>[8,7,6,2,5,1,3,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[5,1,7,8,2,6,4,3]=>[5,7,8,1,6,2,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[6,7,1,8,2,5,4,3]=>[6,7,1,8,5,4,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[4,8,1,7,2,6,5,3]=>[8,4,7,1,6,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[3,8,1,2,7,6,5,4]=>[8,7,6,1,3,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[1,8,2,3,7,6,5,4]=>[8,7,6,1,2,5,3,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[8,1,2,3,7,6,5,4]=>[8,7,6,1,2,3,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[3,1,4,5,6,7,8,9,10,2]=>[3,4,1,5,6,7,8,9,10,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[3,7]
[6,7,1,8,4,5,2,3]=>[1,6,2,7,8,4,5,3]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[3,7,1,5,8,2,6,4]=>[7,3,1,5,8,2,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[2,7,1,5,8,3,6,4]=>[7,2,5,1,8,3,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[2,6,5,1,8,3,7,4]=>[6,5,8,2,1,7,3,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[3,6,5,1,8,2,7,4]=>[6,5,3,8,1,7,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[4,6,5,1,8,7,2,3]=>[1,8,6,4,5,7,2,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,1,4,5,7,6,2,3]=>[1,8,4,2,5,7,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[6,4,5,1,8,7,2,3]=>[1,8,4,6,5,7,2,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[4,5,6,1,8,7,2,3]=>[1,8,4,5,6,7,2,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[3,5,6,1,8,2,7,4]=>[5,3,6,8,1,7,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[2,5,6,1,8,3,7,4]=>[5,6,2,8,1,7,3,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[4,3,6,1,2,8,7,5]=>[8,6,1,4,3,7,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[5,3,6,1,8,2,7,4]=>[5,6,3,8,1,7,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[8,1,2,5,7,3,6,4]=>[5,8,1,2,3,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[7,2,1,5,8,3,6,4]=>[7,2,5,8,1,3,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[6,2,5,1,8,3,7,4]=>[6,5,2,8,1,7,3,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[2,3,6,1,4,8,7,5]=>[8,6,2,3,1,7,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[4,2,5,3,1,8,7,6]=>[8,7,4,5,2,3,1,6]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[7,2,1,4,3,8,6,5]=>[7,8,6,2,4,1,3,5]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[8,1,3,4,2,7,6,5]=>[8,7,3,1,4,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[4,6,3,1,2,8,7,5]=>[8,6,1,4,7,3,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[3,6,4,1,2,8,7,5]=>[8,6,1,7,3,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[2,7,1,4,3,8,6,5]=>[7,8,6,2,1,4,3,5]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[3,7,1,4,2,8,6,5]=>[7,8,3,6,1,4,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[4,7,1,3,2,8,6,5]=>[7,8,4,1,6,3,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[4,7,1,2,3,8,6,5]=>[7,8,1,2,4,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[3,7,1,2,4,8,6,5]=>[7,8,1,3,2,6,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[2,6,3,1,4,8,7,5]=>[8,6,2,7,3,1,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[3,6,2,1,4,8,7,5]=>[8,6,3,2,7,1,4,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[6,4,2,1,3,8,7,5]=>[8,6,2,7,4,1,3,5]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[5,4,2,3,1,8,7,6]=>[8,7,2,5,4,3,1,6]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[2,3,3]
[6,3,2,1,4,8,7,5]=>[8,6,3,7,2,1,4,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[7,3,1,2,4,8,6,5]=>[7,8,1,3,6,2,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[8,1,3,2,4,7,6,5]=>[8,7,1,3,6,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,1,2,3,4,7,6,5]=>[8,7,1,2,3,4,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[7,2,1,3,4,8,6,5]=>[7,8,2,1,6,3,4,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[6,2,3,1,4,8,7,5]=>[8,6,2,3,7,1,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[2,4,3,6,1,5,8,7]=>[8,4,2,3,1,6,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[2,4,3,6,5,8,1,7]=>[6,4,2,3,5,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,4,6,3,1,5,8,7]=>[8,4,2,3,6,1,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[2,4,6,1,5,3,8,7]=>[8,4,2,6,1,5,3,7]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[4,2,6,5,1,3,8,7]=>[8,2,6,4,1,5,3,7]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[4,2,6,5,1,8,7,3]=>[8,6,4,5,2,7,1,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[4,2,6,5,8,1,7,3]=>[6,4,5,2,8,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[4,2,6,5,8,1,3,7]=>[2,6,4,1,5,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[4,2,6,5,8,3,1,7]=>[6,4,5,2,3,8,1,7]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[2,4,6,1,5,8,3,7]=>[4,2,6,1,5,3,8,7]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[2,4,1,6,5,8,3,7]=>[6,4,2,5,1,3,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[2,1,4,6,5,8,3,7]=>[6,4,2,1,5,3,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[2,4,6,1,5,8,7,3]=>[8,4,2,6,1,5,7,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[4,2,6,5,8,3,7,1]=>[6,4,5,2,3,8,7,1]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[2,4,6,1,8,5,7,3]=>[6,4,2,8,1,5,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[2,1,4,6,8,5,7,3]=>[6,4,2,1,5,8,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[2,1,4,6,8,5,3,7]=>[6,4,2,1,5,8,3,7]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[4,2,6,8,5,3,1,7]=>[6,4,2,8,5,3,1,7]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[2,4,6,8,3,5,7,1]=>[4,2,3,6,5,8,7,1]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[2,4,6,3,1,8,5,7]=>[6,4,2,3,8,1,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,4,6,3,8,5,1,7]=>[6,4,2,3,8,5,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,4,6,3,8,5,7,1]=>[6,4,2,3,8,5,7,1]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,4,3,6,8,5,1,7]=>[6,4,2,3,5,8,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,4,3,6,8,1,5,7]=>[4,2,3,1,6,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[2,4,3,6,1,8,7,5]=>[8,6,4,2,3,7,1,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[4,6,5,2,8,7,3,1]=>[8,6,4,5,7,2,3,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[4,6,5,2,8,7,1,3]=>[2,8,6,4,5,1,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[4,6,2,5,8,7,1,3]=>[2,8,4,1,6,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[2,4,6,3,8,1,7,5]=>[6,4,2,8,3,1,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[2,4,1,6,8,3,7,5]=>[6,4,2,8,1,3,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[4,6,2,8,5,7,1,3]=>[2,6,4,1,8,5,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[6,2,4,8,7,1,3,5]=>[2,1,8,4,6,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[6,4,2,8,7,5,3,1]=>[8,6,7,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[2,6,4,8,1,7,5,3]=>[6,8,4,2,7,1,5,3]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[2,1,6,4,8,7,3,5]=>[4,8,6,2,1,3,7,5]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[2,6,4,8,1,7,3,5]=>[4,6,2,1,8,3,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[6,2,4,8,7,3,1,5]=>[2,8,6,4,3,7,1,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,6,4,7,3,8,2,5]=>[4,6,1,7,3,2,8,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[1,3,7,4,5,8,2,6]=>[1,7,3,4,5,2,8,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[5,2,4,7,3,6,8,1]=>[5,2,4,3,7,6,8,1]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[1,7,6,3,4,8,2,5]=>[1,7,3,6,4,2,8,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[8,1,6,3,7,2,4,5]=>[1,3,8,2,6,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[7,1,6,3,8,2,4,5]=>[1,3,7,6,2,4,8,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[1,2,7,4,8,3,5,6]=>[4,1,7,2,3,5,8,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[6,1,7,3,4,8,2,5]=>[1,6,3,7,4,2,8,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[2,1,7,4,5,8,3,6]=>[2,7,4,1,5,3,8,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[5,1,4,7,3,8,2,6]=>[5,4,1,3,7,2,8,6]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[4,3,1,7,5,8,2,6]=>[4,7,3,5,1,2,8,6]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[2,8,6,3,7,1,4,5]=>[2,3,6,8,1,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[6,8,1,3,7,2,4,5]=>[1,3,6,2,4,8,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[5,8,2,1,7,3,4,6]=>[2,5,1,8,3,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[5,7,2,1,8,3,4,6]=>[2,5,1,7,8,3,4,6]=>[[1,3,4,6],[2,5,7,8]]=>[2,3,2,1]
[6,7,1,3,8,2,4,5]=>[1,3,6,2,7,4,8,5]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[5,1,2,4,8,3,6,7]=>[5,1,2,4,3,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[4,3,6,1,5,8,2,7]=>[4,3,6,1,5,2,8,7]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[2,6,1,4,5,8,3,7]=>[4,2,1,6,5,3,8,7]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[6,5,1,3,4,8,2,7]=>[3,1,6,5,4,2,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[1,6,2,4,8,3,5,7]=>[1,6,4,2,3,5,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[8,5,1,3,7,2,4,6]=>[1,5,3,2,8,4,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[1,5,3,2,8,4,6,7]=>[5,3,1,8,2,4,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[6,4,2,1,5,8,3,7]=>[4,6,5,2,1,3,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[2,5,3,4,1,8,6,7]=>[2,8,5,3,4,1,6,7]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[4,3,5,2,1,8,6,7]=>[4,8,3,5,2,1,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[2,6,4,8,7,1,3,5]=>[2,1,8,6,4,3,7,5]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[1,6,4,8,7,2,3,5]=>[1,4,8,6,2,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[2,7,8,3,6,1,4,5]=>[2,3,1,7,4,8,6,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[4,3,2,8,7,1,5,6]=>[4,3,8,2,1,5,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[5,2,4,8,7,1,3,6]=>[2,1,8,5,4,3,7,6]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[6,2,8,3,7,1,4,5]=>[2,3,6,1,8,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[5,1,4,8,7,2,3,6]=>[1,5,8,2,4,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[4,7,2,5,1,3,8,6]=>[7,2,4,1,8,5,3,6]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[3,7,2,1,5,4,8,6]=>[7,8,3,2,5,1,4,6]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[8,3,2,1,5,4,6,7]=>[3,5,8,2,1,4,6,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[8,3,2,1,5,6,4,7]=>[3,8,2,5,1,6,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[3,8,2,1,4,5,7,6]=>[8,3,2,1,4,7,5,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[3,7,2,1,4,5,8,6]=>[7,3,2,1,8,4,5,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[3,2,7,1,4,6,8,5]=>[7,3,2,1,4,6,8,5]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[3,2,8,1,4,6,7,5]=>[6,3,2,1,4,8,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[3,2,8,1,4,7,6,5]=>[8,7,3,2,1,4,6,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[3,8,2,1,4,7,5,6]=>[3,8,2,1,4,7,5,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[3,8,2,1,5,7,4,6]=>[3,8,2,1,5,4,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[4,8,2,5,1,7,3,6]=>[4,5,2,1,8,7,3,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[4,7,2,5,1,8,3,6]=>[4,2,7,5,1,8,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[3,7,2,1,5,8,4,6]=>[3,7,2,5,1,4,8,6]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[3,7,2,1,4,8,5,6]=>[3,7,2,1,8,4,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[3,2,1,7,5,8,6,4]=>[7,8,5,3,2,1,6,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[4,2,7,6,1,8,3,5]=>[4,7,2,6,1,8,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[4,3,8,6,7,1,2,5]=>[1,4,3,8,2,6,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[4,2,8,6,1,7,3,5]=>[4,2,8,6,1,7,3,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[3,2,8,1,6,7,4,5]=>[3,6,2,1,4,8,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[3,2,1,8,7,5,6,4]=>[8,3,7,5,2,1,6,4]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[3,2,8,1,7,4,6,5]=>[8,3,7,2,1,4,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[3,2,7,1,6,4,8,5]=>[7,6,3,2,1,8,4,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[4,2,8,6,1,3,7,5]=>[8,2,4,6,1,7,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[5,7,8,3,4,1,2,6]=>[1,3,5,4,7,8,2,6]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[4,2,6,8,1,3,7,5]=>[6,2,4,1,8,3,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[3,2,6,1,8,4,7,5]=>[6,8,3,2,1,7,4,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[3,7,2,1,8,4,5,6]=>[3,2,7,1,8,4,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[3,7,2,1,8,5,4,6]=>[3,7,8,5,2,1,4,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[4,3,7,8,6,1,2,5]=>[1,4,7,3,2,8,6,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[3,2,7,1,8,6,4,5]=>[3,7,8,2,1,6,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[3,2,1,6,8,5,7,4]=>[6,5,3,2,1,8,7,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[3,2,6,1,8,7,4,5]=>[3,8,6,2,1,7,4,5]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[4,2,6,8,1,7,3,5]=>[4,2,6,1,8,3,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[4,2,6,7,1,8,3,5]=>[4,2,6,1,7,8,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[1,4,6,2,7,8,5,3]=>[6,4,7,1,8,2,5,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[3,1,8,5,4,2,6,7]=>[5,3,8,4,1,2,6,7]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[1,2,7,5,4,8,6,3]=>[7,8,5,4,1,2,6,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[4,3,6,7,8,5,1,2]=>[1,6,4,3,7,8,5,2]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[4,5,6,3,8,7,1,2]=>[1,8,4,5,6,3,7,2]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[7,6,3,5,4,8,1,2]=>[1,7,3,6,5,4,8,2]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[7,1,2,5,8,3,6,4]=>[7,1,5,2,8,3,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[1,8,2,5,7,3,6,4]=>[8,1,5,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[6,2,1,5,4,8,7,3]=>[8,6,5,2,4,1,7,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[4,1,6,2,8,7,5,3]=>[8,6,4,7,5,1,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[2,3,8,5,4,1,6,7]=>[5,2,8,3,4,1,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[4,8,1,5,2,3,7,6]=>[8,1,4,2,7,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[5,8,1,6,4,3,2,7]=>[5,6,8,4,1,3,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[6,1,5,7,4,3,2,8]=>[6,5,7,1,4,3,2,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[1,5,8,6,4,3,2,7]=>[5,8,6,4,1,3,2,7]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[7,8,4,1,5,3,2,6]=>[4,5,7,8,3,1,2,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[7,8,5,1,6,3,2,4]=>[3,5,7,8,6,1,2,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[5,1,7,6,4,3,2,8]=>[7,5,6,4,3,1,2,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[6,1,7,8,4,3,2,5]=>[4,6,7,8,1,3,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[7,1,8,6,4,3,2,5]=>[4,7,8,6,3,1,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[1,8,7,6,4,3,2,5]=>[4,8,7,6,3,1,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[3,1,6,7,5,8,2,4]=>[3,6,1,7,2,5,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[7,8,2,1,4,5,6,3]=>[4,2,1,7,8,5,6,3]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[6,1,2,5,7,3,8,4]=>[6,5,1,2,7,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[4,3,6,1,5,7,2,8]=>[4,3,6,1,5,7,2,8]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[5,1,6,3,7,8,2,4]=>[3,5,6,1,2,7,8,4]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[2,4,6,3,7,1,8,5]=>[6,4,2,7,3,8,1,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[1,3,6,4,8,7,2,5]=>[3,8,6,1,4,2,7,5]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[4,1,7,5,2,3,8,6]=>[7,1,8,4,5,2,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[1,2,4,5,8,3,7,6]=>[8,4,1,2,5,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[7,2,3,5,4,1,8,6]=>[7,8,2,3,5,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[2,8,3,5,4,1,7,6]=>[8,2,7,5,3,4,1,6]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[4,2,6,3,8,1,7,5]=>[6,4,8,2,3,1,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[7,8,2,3,4,1,6,5]=>[7,2,3,4,8,6,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[7,8,1,4,6,3,2,5]=>[4,1,7,3,8,6,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[3,1,6,4,7,8,2,5]=>[3,6,4,1,2,7,8,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[1,8,5,7,4,3,2,6]=>[5,8,1,7,4,3,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[6,5,7,1,4,3,2,8]=>[6,5,1,7,4,3,2,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[7,5,8,1,4,3,2,6]=>[5,7,1,4,8,3,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[5,8,7,1,4,3,2,6]=>[5,8,1,4,7,3,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[1,5,7,8,4,3,2,6]=>[5,1,7,8,4,3,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[2,4,7,5,1,3,8,6]=>[7,2,8,1,4,5,3,6]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[7,8,4,6,1,3,2,5]=>[4,1,3,7,8,6,2,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[7,8,5,4,1,3,2,6]=>[1,7,5,8,4,3,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[1,2,3,4,5,6,9,7,8]=>[1,9,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>[9]
[1,2,3,4,5,8,6,9,7]=>[8,9,1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[1,2,3,4,7,5,8,9,6]=>[7,8,1,2,3,4,5,9,6]=>[[1,2,3,4,5,6],[7,8,9]]=>[7,2]
[1,2,3,6,4,7,8,9,5]=>[6,7,1,2,3,4,8,9,5]=>[[1,2,3,4,5,9],[6,7,8]]=>[6,3]
[1,2,5,3,6,7,8,9,4]=>[5,6,1,2,3,7,8,9,4]=>[[1,2,3,4,8,9],[5,6,7]]=>[5,4]
[1,4,2,5,6,7,8,9,3]=>[4,5,1,2,6,7,8,9,3]=>[[1,2,3,7,8,9],[4,5,6]]=>[4,5]
[9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,9,8,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9]
[9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,9,8,7,6]=>[[1,2,3,4,5,6],[7],[8],[9]]=>[9]
[9,8,7,6,1,2,3,4,5]=>[1,2,3,4,9,8,7,6,5]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>[9]
[9,8,7,6,5,1,2,3,4]=>[1,2,3,9,8,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>[9]
[9,8,7,6,5,4,1,2,3]=>[1,2,9,8,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[9]
[9,8,7,6,5,4,3,1,2]=>[1,9,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[9]
[9,10,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,10,8]=>[[1,2,3,4,5,6,7,8,10],[9]]=>[9,1]
[8,9,10,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,9,10,7]=>[[1,2,3,4,5,6,7,9,10],[8]]=>[8,2]
[10,9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,10,9,8,7]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>[10]
[7,8,9,10,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,9,10,6]=>[[1,2,3,4,5,6,8,9,10],[7]]=>[7,3]
[10,9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,10,9,8,7,6]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>[10]
[10,9,8,7,6,1,2,3,4,5]=>[1,2,3,4,10,9,8,7,6,5]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[10]
[10,9,8,7,6,5,1,2,3,4]=>[1,2,3,10,9,8,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[10]
[10,9,8,7,6,5,4,1,2,3]=>[1,2,10,9,8,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>[10]
[10,9,8,7,6,5,4,3,1,2]=>[1,10,9,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10]
[3,4,6,2,7,1,5,8]=>[3,4,2,6,1,7,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[3,6,2,5,4,1,7,8]=>[6,3,2,5,4,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[3,2,7,5,4,1,6,8]=>[5,7,3,2,4,1,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[6,2,4,5,1,3,7,8]=>[2,1,4,6,5,3,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[4,3,6,8,1,7,2,5]=>[4,3,1,6,8,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[5,3,6,4,1,7,2,8]=>[5,6,3,4,7,1,2,8]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[1,4,6,3,7,5,8,2]=>[6,4,7,1,3,5,8,2]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[4,6,7,2,5,8,1,3]=>[2,4,1,6,7,5,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[2,4,6,1,7,5,3,8]=>[6,4,2,7,5,1,3,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[1,7,5,4,3,8,6,2]=>[7,8,5,4,3,1,6,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[5,4,6,2,7,8,1,3]=>[2,5,4,6,1,7,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[5,6,3,2,7,1,4,8]=>[3,5,6,2,1,7,4,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[5,6,3,2,7,1,8,4]=>[5,6,7,3,2,8,1,4]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[8,5,6,3,2,7,1,4]=>[3,5,6,8,2,1,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[2,4,1,7,8,5,3,6]=>[4,7,2,1,8,5,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[2,5,4,1,6,3,8,7]=>[8,5,4,2,6,1,3,7]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[6,8,4,3,2,1,5,7]=>[4,6,3,8,2,1,5,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[5,3,8,2,1,6,4,7]=>[5,3,8,2,6,1,4,7]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[3,7,5,8,2,1,4,6]=>[3,2,7,5,1,8,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[8,4,6,3,2,1,7,5]=>[6,4,8,7,3,2,1,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[8,6,4,3,2,1,7,5]=>[6,8,7,4,3,2,1,5]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[7,6,4,3,2,1,8,5]=>[7,6,8,4,3,2,1,5]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[4,3,1]
[5,4,7,2,1,8,6,3]=>[7,5,4,8,6,2,1,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[6,3,7,2,5,1,8,4]=>[6,3,7,2,5,8,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[6,2,5,7,8,4,1,3]=>[2,6,1,5,7,8,4,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[2,1,5,7,8,6,3,4]=>[2,7,5,1,3,8,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[3,6,7,2,8,1,4,5]=>[3,2,1,6,7,4,8,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[6,3,7,2,8,1,4,5]=>[3,2,6,1,7,4,8,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[3,5,2,1,4,7,6,8]=>[7,3,2,5,1,4,6,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[2,5,4,1,3,7,8,6]=>[7,2,5,1,4,3,8,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[2,4,1,7,8,3,6,5]=>[7,4,2,1,8,3,6,5]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[3,7,2,8,6,1,4,5]=>[3,2,7,1,8,4,6,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[5,3,8,2,1,4,7,6]=>[8,3,5,2,1,7,4,6]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[4,8,7,3,2,1,5,6]=>[4,3,8,2,7,1,5,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[4,7,3,2,1,5,6,8]=>[4,3,2,7,1,5,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[8,4,7,3,2,1,5,6]=>[4,3,2,8,7,1,5,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[7,3,2,8,6,1,4,5]=>[3,2,7,8,1,4,6,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[3,5,2,1,4,6,8,7]=>[8,3,2,5,1,4,6,7]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[7,8,6,5,4,3,2,1,9]=>[7,8,6,5,4,3,2,1,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,2]
[8,9,7,6,5,4,3,2,1,10]=>[8,9,7,6,5,4,3,2,1,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[8,2]
[7,6,8,5,4,3,2,1,9]=>[7,6,8,5,4,3,2,1,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,2]
[6,8,7,5,4,3,2,1,9]=>[8,6,7,5,4,3,2,1,9]=>[[1,7,9],[2],[3],[4],[5],[6],[8]]=>[6,2,1]
[1,7,9,8,6,5,4,3,2]=>[9,7,8,6,5,4,1,3,2]=>[[1,2],[3,8],[4],[5],[6],[7],[9]]=>[7,2]
[7,8,3,5,4,6,1,2]=>[1,3,7,5,8,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,6,3,7,5,2,4,1]=>[3,6,8,7,2,5,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[5,7,1,6,2,8,3,4]=>[1,5,7,6,2,8,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[5,7,1,6,2,8,4,3]=>[5,7,6,8,1,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[2,7,6,5,1,8,3,4]=>[2,7,6,5,1,8,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[2,7,6,5,1,8,4,3]=>[7,6,5,8,2,4,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[2,3,6,4,1,5,8,7]=>[8,2,6,3,4,1,5,7]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[2,3,6,1,5,4,8,7]=>[8,6,2,3,1,5,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[2,7,6,1,4,8,5,3]=>[7,6,2,8,1,4,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[2,1,7,6,3,8,5,4]=>[7,6,8,5,2,1,3,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[2,7,6,4,1,8,3,5]=>[4,7,6,2,1,8,3,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[7,3,5,1,8,6,2,4]=>[3,7,1,8,5,6,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[6,3,5,1,8,2,4,7]=>[3,1,6,5,2,8,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[2,3,4,8,7,6,1,5]=>[2,8,7,3,4,1,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[6,4,3,5,8,7,1,2]=>[1,8,4,6,3,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[2,3,4,8,7,5,6,1]=>[2,8,7,3,4,5,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[6,4,1,5,8,7,3,2]=>[8,4,6,5,7,1,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[6,4,1,5,8,3,7,2]=>[4,6,5,3,1,8,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[5,7,1,6,3,8,2,4]=>[1,5,7,6,3,2,8,4]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[7,4,1,5,8,2,3,6]=>[1,4,5,7,2,3,8,6]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[6,3,5,7,8,2,1,4]=>[3,2,6,5,7,8,1,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[2,1,4,5,8,6,3,7]=>[4,8,2,1,5,6,3,7]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[2,3,4,8,7,1,6,5]=>[8,2,7,3,4,1,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[2,3,4,8,1,7,6,5]=>[8,7,2,3,4,1,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[2,3,4,8,5,1,7,6]=>[8,2,7,3,4,5,1,6]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[6,3,5,4,8,2,7,1]=>[6,3,5,4,2,8,7,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[2,1,4,5,8,3,7,6]=>[8,4,2,1,5,3,7,6]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[6,3,5,4,8,2,1,7]=>[6,3,5,4,2,8,1,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[2,3,4,8,1,6,5,7]=>[2,8,3,4,1,6,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[2,3,4,8,1,5,7,6]=>[8,2,3,4,1,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[7,8,2,6,1,5,3,4]=>[2,7,1,3,8,6,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[7,8,1,6,2,5,3,4]=>[1,7,2,8,3,6,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,8,6,7,2,5,3,4]=>[1,8,2,6,3,7,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,8,5,7,2,6,3,4]=>[1,8,2,5,7,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[5,8,1,7,2,6,3,4]=>[1,5,8,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[2,8,6,7,1,5,3,4]=>[2,8,1,3,6,7,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[2,8,1,7,5,6,3,4]=>[2,8,1,5,3,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[1,8,2,7,5,6,3,4]=>[1,8,2,7,3,5,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[1,8,2,7,4,6,3,5]=>[1,8,2,7,4,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[2,8,1,7,4,6,3,5]=>[2,8,4,1,3,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[4,8,2,7,1,6,3,5]=>[4,2,8,1,3,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[4,8,1,7,2,6,3,5]=>[4,1,8,2,7,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[1,8,4,7,2,6,3,5]=>[1,8,4,2,7,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[1,8,4,7,5,6,2,3]=>[1,8,2,4,7,5,6,3]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[1,8,3,7,5,6,2,4]=>[1,8,3,2,7,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[3,8,1,7,5,6,2,4]=>[3,1,8,5,2,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[1,8,3,7,4,6,2,5]=>[1,8,3,4,7,2,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[1,8,3,7,2,6,4,5]=>[1,8,3,7,2,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[3,8,2,7,4,6,1,5]=>[3,2,8,4,1,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[3,8,2,7,5,6,1,4]=>[3,2,8,1,5,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[4,8,2,7,5,6,1,3]=>[2,4,8,1,5,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[4,8,3,7,5,6,1,2]=>[1,4,8,3,5,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[2,8,4,7,5,6,1,3]=>[2,1,8,4,7,5,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[2,8,3,7,4,6,1,5]=>[2,3,8,4,7,1,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[7,5,1,8,6,2,3,4]=>[1,2,7,8,5,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[7,4,8,6,1,5,2,3]=>[1,4,7,8,6,2,5,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[6,8,1,7,4,2,5,3]=>[6,1,8,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[1,6,7,4,2,8,5,3]=>[6,7,8,4,1,5,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[1,6,7,3,8,5,2,4]=>[1,6,7,8,3,2,5,4]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[7,1,8,3,5,6,2,4]=>[3,1,2,7,8,5,6,4]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[7,3,8,6,2,5,1,4]=>[3,2,7,8,1,6,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[7,3,1,8,4,2,5,6]=>[3,4,7,8,1,2,5,6]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,1]
[7,2,8,3,5,1,6,4]=>[7,2,3,8,5,6,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[7,2,8,3,4,6,1,5]=>[2,3,4,7,8,1,6,5]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[6,2,4,8,5,3,1,7]=>[6,2,8,4,5,3,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,6,3,7,8,5,4,1]=>[6,7,8,2,3,5,4,1]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[2,4,7,3,6,8,5,1]=>[7,4,2,3,6,8,5,1]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[5,2,4,8,6,1,3,7]=>[2,1,8,5,4,6,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[5,2,3,8,4,6,7,1]=>[5,2,3,4,8,6,7,1]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[4,8,2,3,5,7,1,6]=>[2,4,3,5,1,8,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[1,4,7,8,3,6,2,5]=>[4,3,1,2,7,8,6,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[4,8,1,3,6,7,2,5]=>[4,1,3,2,6,8,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[5,3,8,2,4,7,1,6]=>[3,5,2,4,1,8,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[5,4,3,8,1,2,7,6]=>[8,1,5,4,3,2,7,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[6,3,8,1,4,7,2,5]=>[3,4,6,1,2,8,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[1,5,7,4,2,6,8,3]=>[5,7,1,4,6,2,8,3]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[6,5,1,2,8,7,3,4]=>[1,8,6,2,5,7,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[6,5,3,1,4,2,8,7]=>[8,3,6,5,4,1,2,7]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[4,6,1,7,5,2,8,3]=>[6,4,7,5,8,1,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[3,5,6,1,2,8,7,4]=>[8,5,1,3,6,7,2,4]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[3,6,2,7,5,1,8,4]=>[6,7,3,5,2,8,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[3,4,5,8,2,7,1,6]=>[3,4,5,2,1,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[4,3,1,2,5,6,8,7]=>[8,1,4,3,2,5,6,7]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[5,3,6,8,4,7,2,1]=>[5,6,3,4,8,7,2,1]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[3,7,2,5,4,8,6,1]=>[7,8,3,2,5,4,6,1]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[8,4,2,5,7,3,6,1]=>[4,2,8,5,3,7,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[4,7,2,5,8,3,6,1]=>[4,2,7,5,3,8,6,1]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[5,2,6,8,4,3,7,1]=>[5,6,2,8,4,3,7,1]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[3,1,6,5,4,8,2,7]=>[6,5,3,4,1,2,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[4,1,6,5,8,3,2,7]=>[6,4,5,1,8,3,2,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[5,1,6,8,4,3,2,7]=>[5,6,4,8,1,3,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[8,5,4,7,6,3,2,1]=>[8,5,7,4,6,3,2,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[5,7,1,8,4,3,2,6]=>[5,4,7,8,3,1,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[2,7,1,5,4,3,8,6]=>[7,8,5,2,1,4,3,6]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[8,2,1,5,4,3,7,6]=>[8,5,7,2,4,1,3,6]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[8,4,1,5,7,3,2,6]=>[4,5,8,1,3,7,2,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[8,5,6,7,1,3,2,4]=>[1,5,3,6,8,7,2,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[8,4,6,1,7,3,2,5]=>[4,3,6,8,7,1,2,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[8,3,6,1,4,7,2,5]=>[3,1,6,4,8,2,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[2,7,6,1,4,3,8,5]=>[7,6,2,8,1,4,3,5]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[6,7,8,5,1,3,2,4]=>[1,6,3,7,8,5,2,4]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[5,7,6,8,2,3,4,1]=>[2,3,7,5,6,8,4,1]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[5,7,2,8,4,3,6,1]=>[5,4,7,8,2,3,6,1]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[6,7,8,2,4,3,5,1]=>[2,6,4,7,8,3,5,1]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[4,7,6,2,8,3,5,1]=>[4,7,2,6,8,3,5,1]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[8,3,6,2,4,7,5,1]=>[6,3,2,8,7,4,5,1]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[3,7,6,2,4,8,5,1]=>[7,3,6,2,8,4,5,1]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[5,7,3,8,4,6,2,1]=>[5,3,7,8,4,6,2,1]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[4,7,3,5,8,6,2,1]=>[7,4,3,8,5,6,2,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[8,7,2,1,4,3,6,5]=>[8,2,7,4,6,1,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[8,7,3,1,4,6,2,5]=>[3,1,8,4,7,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[8,7,6,3,2,5,4,1]=>[8,3,7,6,5,2,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[8,7,3,5,1,6,2,4]=>[3,1,5,8,7,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[8,7,2,5,1,3,6,4]=>[5,2,1,8,7,6,3,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[8,2,6,5,1,3,7,4]=>[8,2,1,6,5,7,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[8,4,6,5,7,1,2,3]=>[1,2,4,8,6,5,7,3]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[5,7,6,8,4,1,2,3]=>[1,2,7,5,6,8,4,3]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,2,1]
[4,7,6,5,8,1,2,3]=>[1,2,7,6,4,5,8,3]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[3,7,6,5,1,8,2,4]=>[3,7,6,1,5,8,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[8,1,2,3,4,5,6,7,9]=>[1,2,3,4,5,6,8,7,9]=>[[1,2,3,4,5,6,7,9],[8]]=>[8,1]
[1,9,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,9,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>[9]
[9,1,2,3,4,5,6,7,8,10]=>[1,2,3,4,5,6,7,9,8,10]=>[[1,2,3,4,5,6,7,8,10],[9]]=>[9,1]
[1,8,9,2,3,4,5,6,7]=>[1,2,3,4,5,8,6,9,7]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[1,10,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,10,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10]
[8,9,1,2,3,4,5,6,7,10]=>[1,2,3,4,5,6,8,9,7,10]=>[[1,2,3,4,5,6,7,9,10],[8]]=>[8,2]
[7,1,8,2,3,4,5,6,9]=>[1,2,3,4,7,8,5,6,9]=>[[1,2,3,4,5,6,9],[7,8]]=>[7,2]
[1,8,2,9,3,4,5,6,7]=>[1,2,3,4,8,9,5,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[1,9,10,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,9,7,10,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,1]
[3,6,4,8,7,5,1,2]=>[1,8,6,7,3,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[5,6,4,3,8,7,1,2]=>[1,8,5,6,4,3,7,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[1,6,2,4,7,8,5,3]=>[6,7,1,4,2,8,5,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[1,4,7,2,5,8,6,3]=>[7,4,8,1,2,5,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[1,8,5,2,7,3,6,4]=>[5,8,1,7,6,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[4,2,7,5,1,8,6,3]=>[7,8,4,5,2,6,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[1,3,6,4,8,2,5,7]=>[3,6,1,4,2,5,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[5,8,3,6,1,4,2,7]=>[3,5,1,8,6,4,2,7]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[3,6,2,5,8,1,7,4]=>[6,3,2,5,8,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[1,2,8,3,6,5,7,4]=>[8,1,6,5,2,3,7,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,6,3,8,5,7,2,4]=>[1,6,8,3,2,5,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[2,6,4,1,7,5,8,3]=>[6,7,4,2,5,1,8,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[2,6,3,4,8,7,1,5]=>[2,8,3,6,4,1,7,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[7,1,3,4,5,2,8,6]=>[7,3,1,4,8,5,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[2,8,5,7,4,3,1,6]=>[5,8,2,4,7,3,1,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[7,2,5,8,3,4,1,6]=>[2,3,7,5,4,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[6,5,3,8,2,1,7,4]=>[6,5,8,3,2,7,1,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[5,8,7,4,1,3,2,6]=>[1,8,5,4,7,3,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[3,5,7,8,4,1,2,6]=>[1,5,3,4,7,8,2,6]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[7,8,4,6,3,1,2,5]=>[1,4,3,7,8,6,2,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[3,6,5,8,4,2,1,7]=>[6,5,3,4,8,2,1,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[6,8,5,4,3,1,2,7]=>[1,6,5,8,4,3,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[8,6,5,1,2,4,7,3]=>[6,1,2,8,5,4,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[6,7,5,8,2,1,4,3]=>[6,2,7,5,8,4,1,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[1,7,5,8,2,6,4,3]=>[5,7,8,6,1,2,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[1,3,8,5,7,6,2,4]=>[1,8,7,3,2,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[8,3,1,5,6,2,7,4]=>[8,3,1,5,6,7,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[3,8,2,5,6,1,7,4]=>[5,3,2,6,8,7,1,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[2,8,1,5,6,3,7,4]=>[5,6,2,1,8,7,3,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[1,8,2,5,7,6,3,4]=>[1,8,7,2,3,5,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[2,5,8,6,1,7,3,4]=>[2,8,1,5,6,7,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[8,6,1,5,7,2,3,4]=>[1,2,6,3,8,5,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[5,1,7,6,8,4,2,3]=>[1,7,5,6,8,2,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[5,1,3,7,8,6,2,4]=>[1,7,5,3,2,8,6,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[3,2,8,5,7,6,1,4]=>[3,8,2,7,1,5,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[8,2,1,5,7,6,3,4]=>[2,8,7,1,3,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[5,2,8,6,1,7,3,4]=>[2,5,8,6,1,7,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[1,2,8,6,5,7,3,4]=>[1,6,8,5,2,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[4,2,1,3,6,7,8,5]=>[6,2,4,1,3,7,8,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[7,2,6,5,4,1,8,3]=>[7,6,5,2,4,8,1,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[6,1,5,3,4,7,8,2]=>[6,1,3,5,4,7,8,2]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[7,5,6,2,4,1,8,3]=>[5,2,7,6,4,8,1,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[8,5,2,6,3,7,1,4]=>[2,5,6,8,3,1,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[4,3,1,2,6,7,8,5]=>[6,1,4,3,2,7,8,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[3,5,8,6,2,7,1,4]=>[3,2,8,5,6,1,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[5,8,1,6,3,7,2,4]=>[1,5,8,3,6,2,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[1,8,5,6,3,7,2,4]=>[1,8,3,5,6,2,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[1,7,6,5,4,2,8,3]=>[7,6,5,4,8,1,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[4,1,7,3,5,6,8,2]=>[4,3,1,7,5,6,8,2]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[8,1,3,5,7,6,2,4]=>[3,8,1,2,5,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,8,5,4,1,6,2,3]=>[1,5,7,8,4,6,2,3]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[7,4,6,2,5,1,8,3]=>[4,7,2,6,5,8,1,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[6,1,4,3,5,7,8,2]=>[6,1,4,3,5,7,8,2]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[6,1,3,4,5,7,8,2]=>[3,1,4,6,5,7,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[3,4,7,8,5,6,1,2]=>[1,3,7,4,5,8,6,2]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[1,4,7,2,5,8,3,6]=>[4,1,7,2,5,3,8,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[4,3,6,7,5,8,1,2]=>[1,6,4,3,7,5,8,2]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[6,3,7,5,8,4,1,2]=>[1,6,7,5,3,8,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[4,8,2,6,1,5,3,7]=>[4,2,8,1,6,5,3,7]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[7,8,3,2,5,1,4,6]=>[3,2,1,7,8,5,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[4,1,6,2,5,7,3,8]=>[4,6,1,5,2,7,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[7,1,5,8,3,6,2,4]=>[1,7,3,5,2,8,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[5,1,8,7,2,3,6,4]=>[5,1,8,7,2,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[2,4,7,5,1,8,3,6]=>[4,7,2,5,1,8,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[6,2,4,3,1,5,7,8]=>[2,6,4,3,1,5,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[1,3,7,4,8,2,5,6]=>[3,1,7,4,2,5,8,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[5,8,7,6,3,1,2,4]=>[1,3,8,7,5,6,2,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,5,6,8,1,4,3,2]=>[5,7,1,6,8,4,3,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[1,2,7,8,5,4,3,6]=>[5,7,8,1,2,4,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[6,3,1,2,8,4,5,7]=>[1,6,3,2,8,4,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[4,2,1,3,6,5,8,7]=>[8,6,2,4,1,3,5,7]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[2,8,1,4,5,6,3,7]=>[4,2,1,5,6,8,3,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[4,2,6,1,8,5,3,7]=>[6,4,2,8,5,1,3,7]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[7,8,4,1,5,3,6,2]=>[4,5,7,8,3,1,6,2]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[7,5,1,6,4,3,8,2]=>[5,7,6,4,3,1,8,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[6,5,1,8,2,7,4,3]=>[6,5,8,7,1,4,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[7,6,1,8,5,3,2,4]=>[3,7,6,8,5,1,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[3,6,1,5,7,4,2,8]=>[6,3,5,1,7,4,2,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[2,5,6,1,7,4,8,3]=>[5,6,2,7,4,1,8,3]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[7,1,8,6,5,4,2,3]=>[1,7,8,6,5,4,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[2,6,5,7,3,4,8,1]=>[2,6,5,3,7,4,8,1]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[1,6,4,7,5,8,2,3]=>[1,6,7,4,2,5,8,3]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[8,5,3,6,2,7,4,1]=>[5,8,3,6,7,2,4,1]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[1,3,7,4,6,8,2,5]=>[1,7,3,4,2,6,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[4,7,5,6,3,2,8,1]=>[4,7,5,6,3,2,8,1]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[1,7,6,5,4,8,2,3]=>[1,7,6,5,4,2,8,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[8,1,6,5,7,2,4,3]=>[8,1,6,2,5,7,4,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[1,2,7,6,8,3,4,5]=>[1,2,7,6,3,4,8,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[6,1,7,5,3,8,2,4]=>[3,6,7,5,1,2,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[2,1,7,5,6,8,3,4]=>[2,7,1,5,3,6,8,4]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[5,4,1,7,6,8,2,3]=>[1,7,5,4,6,2,8,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[4,8,5,6,2,7,3,1]=>[4,5,8,6,7,2,3,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[3,8,6,4,2,7,5,1]=>[6,8,7,3,4,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[7,8,5,2,4,6,3,1]=>[5,2,7,8,4,6,3,1]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[2,8,6,3,7,4,5,1]=>[2,6,8,7,3,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[7,8,1,6,2,4,5,3]=>[7,1,2,4,8,6,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[6,8,1,4,7,2,5,3]=>[6,1,4,8,2,7,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[3,8,4,1,7,2,6,5]=>[8,3,4,7,1,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[5,4,7,1,8,3,2,6]=>[5,4,3,7,8,1,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[3,7,4,1,8,5,2,6]=>[3,7,8,4,5,1,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[6,7,1,4,8,3,2,5]=>[1,6,7,4,3,8,2,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[2,7,1,8,4,5,3,6]=>[2,7,1,8,4,5,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[6,1,2,8,4,3,5,7]=>[1,6,4,8,2,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[6,5,1,4,3,8,2,7]=>[6,5,1,4,3,2,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[1,6,2,5,8,3,4,7]=>[1,6,2,5,3,4,8,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[8,5,1,3,7,2,6,4]=>[5,8,1,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[8,4,2,1,7,3,6,5]=>[8,4,2,7,6,1,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[7,4,2,1,8,5,3,6]=>[4,7,8,5,2,1,3,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[1,5,4,2,8,3,6,7]=>[5,4,1,2,8,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[6,4,3,1,5,8,2,7]=>[4,6,3,5,1,2,8,7]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[3,7,6,8,4,5,2,1]=>[3,7,6,4,8,5,2,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[2,7,6,8,5,3,4,1]=>[2,7,6,8,3,5,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[1,7,6,8,5,4,2,3]=>[1,7,6,8,5,2,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[1,4,8,6,7,5,2,3]=>[1,8,6,2,4,7,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[2,4,8,6,7,3,5,1]=>[2,8,4,3,6,7,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[7,3,8,5,4,6,2,1]=>[5,7,8,3,4,6,2,1]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[3,4,8,5,6,7,2,1]=>[3,4,8,5,6,7,2,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[6,3,5,8,4,7,2,1]=>[6,3,5,4,8,7,2,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[5,4,3,8,6,7,2,1]=>[5,8,4,3,6,7,2,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[5,4,2,8,7,3,6,1]=>[5,8,4,2,7,3,6,1]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[6,2,5,8,7,3,4,1]=>[2,8,6,3,5,7,4,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[3,2,8,5,7,4,6,1]=>[3,8,5,2,4,7,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[1,3,8,7,5,6,2,4]=>[1,8,3,7,2,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[2,1,8,7,4,6,3,5]=>[2,8,4,7,1,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[3,1,8,5,7,6,2,4]=>[3,8,1,7,5,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[6,1,5,8,7,4,2,3]=>[1,8,6,5,2,7,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[5,4,1,8,7,6,2,3]=>[1,8,7,5,4,6,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[5,8,6,7,4,3,2,1]=>[5,8,6,7,4,3,2,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[5,3]
[4,8,7,5,6,3,2,1]=>[4,8,7,5,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[4,2,1,6,3,5,8,7]=>[8,4,2,6,1,3,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[8,2,1,4,3,6,5,7]=>[2,8,6,4,1,3,5,7]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[8,2,4,1,3,6,5,7]=>[2,8,1,4,6,3,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[2,1,6,4,3,5,8,7]=>[8,4,6,2,1,3,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[2,6,1,4,3,5,8,7]=>[8,2,6,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[2,6,4,1,3,5,8,7]=>[8,2,1,6,4,3,5,7]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[8,4,2,1,3,6,5,7]=>[2,8,4,6,1,3,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[8,4,2,1,6,3,5,7]=>[4,2,6,8,1,3,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[4,6,2,1,8,3,5,7]=>[4,2,6,1,8,3,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[2,1,8,4,3,6,5,7]=>[4,8,6,2,1,3,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[2,8,1,4,3,6,5,7]=>[2,8,6,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[4,8,2,1,3,6,5,7]=>[2,8,4,1,6,3,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[4,8,2,1,6,3,5,7]=>[4,2,1,8,6,3,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[6,8,2,1,4,3,5,7]=>[2,6,4,1,8,3,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[8,6,2,1,4,3,5,7]=>[2,4,8,6,1,3,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[2,8,1,4,6,3,5,7]=>[4,2,1,3,6,8,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[2,1,8,4,6,3,5,7]=>[2,4,8,1,3,6,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[2,1,6,4,8,3,5,7]=>[4,6,2,1,3,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[2,6,1,4,8,3,5,7]=>[2,6,1,4,3,5,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[2,6,4,1,8,3,5,7]=>[4,6,2,1,3,8,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[2,6,4,8,1,3,5,7]=>[2,1,6,4,3,5,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[4,6,2,8,1,3,5,7]=>[2,4,1,6,3,5,8,7]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[6,2,4,1,8,3,5,7]=>[2,6,4,1,3,8,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[8,2,4,1,6,3,5,7]=>[4,2,1,6,8,3,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[8,2,1,4,6,3,5,7]=>[2,1,8,4,3,6,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[6,2,1,4,8,3,5,7]=>[2,6,4,1,3,5,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[4,2,1,6,3,8,5,7]=>[6,4,2,8,1,3,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[4,2,1,3,6,8,5,7]=>[6,2,4,1,3,5,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[2,1,4,3,8,6,5,7]=>[6,8,4,2,1,3,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,4,1,3,8,6,5,7]=>[6,8,2,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[4,2,1,8,6,3,5,7]=>[4,2,8,6,1,3,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[6,2,1,8,4,3,5,7]=>[4,6,2,8,1,3,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[8,2,1,6,4,3,5,7]=>[2,6,8,4,1,3,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,2,8,1,4,3,5,7]=>[2,6,1,4,8,3,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[4,2,8,1,6,3,5,7]=>[4,2,1,8,3,6,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[4,2,8,1,3,6,5,7]=>[2,8,4,1,3,6,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[2,4,8,1,3,6,5,7]=>[2,8,1,4,3,6,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[2,1,4,8,3,6,5,7]=>[4,8,2,1,3,6,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[2,1,4,8,6,3,5,7]=>[4,2,8,1,3,6,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[2,4,8,1,6,3,5,7]=>[4,2,1,3,8,6,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[2,4,8,6,1,3,5,7]=>[2,1,4,8,3,6,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[4,2,8,6,1,3,5,7]=>[2,4,1,8,3,6,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[8,2,6,4,1,3,5,7]=>[2,1,4,8,6,3,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[8,4,6,2,1,3,5,7]=>[2,4,1,6,8,3,5,7]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[6,4,8,2,1,3,5,7]=>[2,4,6,1,3,8,5,7]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[4,6,8,2,1,3,5,7]=>[2,4,1,6,3,8,5,7]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[2,6,8,4,1,3,5,7]=>[2,1,6,4,3,8,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[2,6,8,1,4,3,5,7]=>[2,6,1,4,3,8,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[2,6,1,8,4,3,5,7]=>[2,6,4,8,1,3,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[2,1,6,8,4,3,5,7]=>[2,6,1,8,4,3,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[2,1,8,6,4,3,5,7]=>[4,6,8,2,1,3,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[2,8,1,6,4,3,5,7]=>[2,6,8,1,4,3,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[2,8,6,4,1,3,5,7]=>[2,1,6,8,4,3,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[4,8,6,2,1,3,5,7]=>[2,4,1,8,6,3,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[6,8,4,2,1,3,5,7]=>[2,4,6,1,8,3,5,7]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[3,2,6,1,5,4,8,7]=>[8,6,3,2,1,5,4,7]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[5,2,4,3,8,1,7,6]=>[8,5,2,4,3,1,7,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[6,2,4,1,5,3,8,7]=>[8,4,2,6,5,1,3,7]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[4,3,6,1,5,2,8,7]=>[8,4,3,6,1,5,2,7]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[4,3,5,2,8,1,7,6]=>[8,4,3,5,2,1,7,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[4,3,7,2,6,5,8,1]=>[7,4,3,2,6,5,8,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[4,3,8,2,6,1,7,5]=>[6,4,3,2,8,7,1,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[4,3,8,1,7,2,6,5]=>[8,4,3,1,7,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[4,3,8,1,5,2,7,6]=>[8,4,3,1,7,5,2,6]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[5,1,8,3,4,2,7,6]=>[8,5,1,3,7,4,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[5,4,8,1,3,2,7,6]=>[8,5,1,4,3,7,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[2,1,5,4,8,3,7,6]=>[8,5,4,2,1,3,7,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[5,1,7,6,8,3,4,2]=>[7,1,5,6,3,8,4,2]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[4,3,7,6,8,1,5,2]=>[4,7,3,6,1,8,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[4,3,7,1,8,5,6,2]=>[4,7,3,8,1,5,6,2]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[4,3,6,5,8,1,7,2]=>[6,4,3,5,8,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[6,3,5,4,7,2,8,1]=>[6,3,5,4,7,2,8,1]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[6,3,5,4,8,1,7,2]=>[6,3,5,4,8,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[7,1,6,3,8,4,5,2]=>[7,1,6,3,8,4,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[7,4,6,5,8,1,3,2]=>[7,1,4,6,5,8,3,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[2,1,8,4,6,3,7,5]=>[8,2,6,4,1,7,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[8,4,6,1,3,2,7,5]=>[6,4,1,8,7,3,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[8,1,6,3,4,2,7,5]=>[8,1,6,3,7,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[8,1,6,3,7,2,5,4]=>[8,1,6,3,7,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[8,3,5,1,7,2,6,4]=>[5,3,8,1,7,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[8,3,5,2,6,1,7,4]=>[5,3,8,2,6,7,1,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[7,3,5,2,6,4,8,1]=>[5,3,7,6,2,4,8,1]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[8,2,6,3,5,1,7,4]=>[8,2,3,6,5,7,1,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[8,2,7,1,5,3,6,4]=>[8,2,5,1,7,6,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[8,2,4,1,5,3,7,6]=>[8,4,2,5,7,1,3,6]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[8,2,4,1,7,3,6,5]=>[8,4,2,1,7,6,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[8,2,4,3,6,1,7,5]=>[8,2,4,6,3,7,1,5]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[3,2,8,4,6,1,7,5]=>[8,3,2,6,4,7,1,5]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[3,2,8,1,5,4,7,6]=>[8,3,7,2,1,5,4,6]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[3,2,7,6,8,1,5,4]=>[7,3,6,2,1,8,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[3,2,7,1,8,5,6,4]=>[7,3,8,2,1,5,6,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[3,2,6,5,8,1,7,4]=>[6,5,3,2,8,1,7,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[6,5,7,2,4,3,8,1]=>[6,2,5,7,4,3,8,1]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[6,5,8,2,4,1,7,3]=>[6,2,5,4,8,7,1,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[7,2,4,1,8,5,6,3]=>[7,2,4,8,5,1,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[7,6,8,2,4,1,5,3]=>[4,2,7,6,8,5,1,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[7,6,8,1,5,2,4,3]=>[7,1,6,2,8,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[2,1,7,3,8,5,6,4]=>[7,2,8,5,1,3,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[7,1,3,2,8,5,6,4]=>[7,1,8,5,3,2,6,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[7,1,8,5,6,2,4,3]=>[7,1,8,2,5,6,4,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[7,1,8,2,6,4,5,3]=>[7,1,8,2,6,4,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[7,2,8,1,5,4,6,3]=>[7,2,8,1,5,4,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[6,2,7,4,5,3,8,1]=>[6,2,7,4,5,3,8,1]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[5,4,7,2,6,3,8,1]=>[5,4,7,2,6,3,8,1]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[5,4,8,2,6,1,7,3]=>[5,4,6,2,8,7,1,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[6,5,8,1,7,2,4,3]=>[6,1,5,8,7,2,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[2,1,6,5,8,3,7,4]=>[6,5,8,2,1,3,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[6,5,7,4,8,1,3,2]=>[6,1,5,7,4,8,3,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[6,5,7,1,8,3,4,2]=>[6,1,5,7,8,3,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[6,1,7,4,8,3,5,2]=>[4,6,7,3,1,8,5,2]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[5,4,7,1,8,3,6,2]=>[5,4,7,1,8,3,6,2]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[5,4,6,3,8,1,7,2]=>[5,4,6,3,8,1,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[2,8,3,1,5,4,6,7]=>[2,5,8,3,1,4,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[2,5,3,4,7,1,8,6]=>[7,2,5,3,4,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[2,4,8,3,5,7,6,1]=>[8,4,2,3,5,7,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[4,2,5,3,1,8,6,7]=>[4,8,5,2,3,1,6,7]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[4,2,1,8,5,3,6,7]=>[4,5,8,2,1,3,6,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[5,4,1,3,8,2,6,7]=>[5,1,4,3,2,6,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[5,1,4,8,3,2,6,7]=>[5,4,1,3,2,8,6,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[1,5,8,4,3,2,6,7]=>[5,4,1,8,3,2,6,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[1,8,5,4,3,2,6,7]=>[5,4,8,3,1,2,6,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[1,7,4,3,8,5,2,6]=>[4,7,8,3,1,5,2,6]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[1,5,7,3,8,4,2,6]=>[5,1,7,8,3,4,2,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[5,1,4,7,8,3,2,6]=>[5,4,1,3,7,8,2,6]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[4,8,1,5,7,3,6,2]=>[4,5,3,1,8,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[8,1,5,3,7,4,6,2]=>[8,1,5,3,7,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[3,8,4,7,6,5,2,1]=>[8,7,3,6,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[1,6,8,5,3,7,4,2]=>[6,8,5,1,7,3,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[6,8,1,7,4,3,5,2]=>[6,1,8,7,4,3,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[6,4,8,1,7,3,5,2]=>[4,6,8,1,3,7,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[6,4,8,7,1,5,2,3]=>[1,4,8,6,7,2,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[7,6,4,1,3,8,2,5]=>[1,7,4,6,3,2,8,5]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[1,7,5,6,3,2,8,4]=>[7,5,6,1,8,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[4,2,1,7,8,5,3,6]=>[4,7,2,8,1,5,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[2,7,4,6,3,1,8,5]=>[7,6,2,4,8,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[2,6,8,4,3,7,5,1]=>[6,8,2,7,4,3,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[6,2,4,8,3,7,5,1]=>[6,8,2,4,3,7,5,1]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[7,2,6,3,4,1,8,5]=>[7,2,6,3,8,4,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[2,6,7,3,1,4,8,5]=>[6,2,7,3,8,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,7,1,8,3,5,4,6]=>[2,7,1,8,5,3,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[2,1,7,3,5,8,4,6]=>[2,7,5,1,3,4,8,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[8,7,1,3,6,2,4,5]=>[3,1,2,4,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,2,1,7,3,5,6,4]=>[8,2,1,7,3,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[7,8,2,6,3,1,5,4]=>[7,2,8,3,6,5,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[8,7,2,6,3,5,4,1]=>[8,2,7,3,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[1,2,8,7,4,5,6,3]=>[8,1,2,7,4,5,6,3]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[8,3,7,1,5,6,2,4]=>[3,1,5,2,8,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[8,6,1,2,7,5,3,4]=>[1,6,8,2,7,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[8,1,6,2,7,4,5,3]=>[8,1,6,2,7,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[1,8,5,2,6,7,4,3]=>[5,8,6,1,7,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[5,2,1,8,6,7,4,3]=>[5,8,6,7,2,1,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[2,8,5,7,6,4,3,1]=>[8,7,5,2,6,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[1,7,8,5,2,6,4,3]=>[7,8,1,5,6,4,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[7,8,1,6,4,2,5,3]=>[7,1,8,4,6,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[7,8,6,1,5,3,2,4]=>[1,7,8,3,6,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[7,3,8,6,1,5,2,4]=>[3,1,7,8,6,2,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[8,7,6,1,5,3,4,2]=>[8,1,3,7,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[8,7,1,6,4,5,3,2]=>[8,4,1,7,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[8,1,7,5,6,4,3,2]=>[8,5,7,1,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[1,8,6,7,5,4,3,2]=>[8,6,7,5,1,4,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[6,3,5,2,1,4,8,7]=>[8,3,2,6,5,1,4,7]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[6,3,5,7,2,8,4,1]=>[6,3,5,7,8,2,4,1]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[8,5,2,7,4,3,1,6]=>[5,4,8,7,2,3,1,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[4,5,3,6,1,2,8,7]=>[8,1,4,5,3,6,2,7]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[3,5,1,4,6,2,8,7]=>[8,3,5,1,4,6,2,7]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[8,3,4,5,7,2,1,6]=>[3,4,5,2,8,7,1,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[5,7,4,6,3,8,2,1]=>[5,4,7,6,3,8,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[2,8,4,6,3,7,1,5]=>[2,4,8,3,6,1,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[8,1,4,7,3,6,2,5]=>[4,3,1,2,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[8,3,4,7,5,1,2,6]=>[1,3,8,4,5,7,2,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[8,5,1,4,7,3,2,6]=>[5,1,8,4,3,7,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[8,5,3,7,1,4,2,6]=>[3,5,1,8,7,4,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[2,1,8,5,7,4,3,6]=>[5,8,2,1,7,4,3,6]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[6,5,3,7,1,8,4,2]=>[6,5,7,3,8,4,1,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[6,5,1,4,7,8,3,2]=>[6,5,1,4,7,8,3,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[6,3,4,7,5,8,1,2]=>[1,6,3,7,4,5,8,2]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[5,1,4,6,8,3,7,2]=>[5,4,1,6,3,8,7,2]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[4,7,1,3,5,8,6,2]=>[7,4,1,3,8,5,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[4,8,3,7,1,2,6,5]=>[8,1,4,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[3,8,6,4,1,7,2,5]=>[3,6,8,4,1,7,2,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[3,8,1,2,5,7,6,4]=>[8,5,1,3,2,7,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[2,8,7,5,4,1,3,6]=>[2,5,8,7,1,4,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[8,7,2,6,4,1,3,5]=>[2,1,8,4,7,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[3,8,6,7,4,2,1,5]=>[3,8,4,6,7,2,1,5]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[5,7,6,8,4,2,3,1]=>[2,7,5,6,8,4,3,1]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[5,3,7,8,2,4,6,1]=>[3,5,2,4,7,8,6,1]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[8,3,6,2,1,4,7,5]=>[6,3,2,8,7,1,4,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[5,3,7,6,2,1,8,4]=>[7,5,6,3,8,2,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[5,3,6,2,8,7,1,4]=>[3,8,5,2,6,1,7,4]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[5,7,8,6,4,2,1,3]=>[2,7,5,8,6,4,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[2,6,7,5,4,8,1,3]=>[2,6,7,1,5,4,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[6,1,7,4,5,8,2,3]=>[1,6,2,7,4,5,8,3]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[6,7,3,5,1,8,2,4]=>[3,1,6,7,5,8,2,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[2,1,6,7,5,8,3,4]=>[2,6,7,1,3,5,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[2,1,5,7,3,6,8,4]=>[5,7,2,1,3,6,8,4]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[5,7,3,6,1,2,8,4]=>[5,1,7,3,6,8,2,4]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[4,1,7,2,5,6,8,3]=>[4,7,1,2,5,6,8,3]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[2,4,7,1,6,5,8,3]=>[7,4,2,6,1,5,8,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[4,6,2,1,8,7,5,3]=>[8,6,4,7,5,2,1,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[3,4,6,2,7,8,5,1]=>[6,3,4,7,2,8,5,1]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[4,6,1,2,5,8,7,3]=>[8,4,1,6,2,5,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[5,6,1,4,8,2,7,3]=>[5,6,1,4,8,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[5,6,3,1,8,7,2,4]=>[3,8,5,6,1,7,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[3,5,6,4,7,1,8,2]=>[5,3,6,4,7,8,1,2]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[3,4,6,1,5,7,8,2]=>[3,4,6,1,5,7,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[3,4,1,5,7,6,8,2]=>[7,3,4,5,1,6,8,2]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[3,8,2,7,1,6,5,4]=>[8,7,3,2,1,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[3,8,2,7,6,1,5,4]=>[8,3,7,2,1,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[3,8,2,7,6,5,1,4]=>[3,8,7,2,1,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[3,8,2,7,6,5,4,1]=>[8,7,6,3,2,5,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[4,8,7,2,6,5,3,1]=>[8,4,7,6,2,5,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[4,8,7,2,6,5,1,3]=>[2,8,4,7,1,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[4,8,7,2,6,1,5,3]=>[4,8,2,7,1,6,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[4,8,7,2,1,6,5,3]=>[8,4,7,6,2,5,1,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[4,8,7,3,1,6,5,2]=>[8,4,7,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[4,8,7,3,2,1,6,5]=>[8,4,7,3,6,2,1,5]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[4,8,7,3,2,6,1,5]=>[4,3,8,2,7,1,6,5]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[4,8,7,3,2,6,5,1]=>[8,4,7,3,6,2,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[4,8,7,3,6,2,5,1]=>[4,3,8,2,7,6,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[4,8,7,3,6,2,1,5]=>[4,3,8,2,7,6,1,5]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[4,8,7,3,6,1,5,2]=>[4,3,8,7,1,6,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[4,8,7,3,6,5,1,2]=>[1,8,4,7,3,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[4,8,7,3,6,5,2,1]=>[8,4,7,3,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[5,8,7,6,3,4,2,1]=>[3,8,7,5,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[5,8,7,6,3,1,4,2]=>[3,8,7,5,6,4,1,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[5,8,7,6,3,2,4,1]=>[3,8,7,5,6,2,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[5,8,7,6,2,4,3,1]=>[8,2,7,5,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[2,3,3]
[5,8,7,6,2,1,4,3]=>[8,2,7,5,6,4,1,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[5,8,7,6,4,2,3,1]=>[2,8,7,5,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[2,3,3]
[5,8,7,6,4,2,1,3]=>[2,8,7,5,6,4,1,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[5,8,7,6,4,1,3,2]=>[8,1,7,5,6,4,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[5,8,7,6,4,3,1,2]=>[1,8,7,5,6,4,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[7,3,4,2,1,6,5,8]=>[7,3,4,6,2,1,5,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[7,3,5,2,6,1,4,8]=>[3,2,5,7,1,6,4,8]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[7,3,5,2,6,4,1,8]=>[5,3,7,6,2,4,1,8]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[6,3,5,2,7,4,8,1]=>[6,3,5,7,2,4,8,1]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[7,3,5,1,6,4,2,8]=>[5,3,7,6,4,1,2,8]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[7,4,5,6,1,3,2,8]=>[4,1,5,7,6,3,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[1,4,6,7,3,8,2,5]=>[4,1,6,3,7,2,8,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[6,4,5,7,3,1,8,2]=>[4,6,5,7,3,8,1,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[6,4,5,7,1,3,8,2]=>[4,1,6,5,7,3,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[6,2,1,5,7,4,8,3]=>[6,5,2,7,1,4,8,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[3,2,1,5,7,4,8,6]=>[7,5,3,2,1,8,4,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[1,4,6,7,3,8,5,2]=>[6,4,7,1,8,3,5,2]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[3,2,1,6,7,8,4,5]=>[3,6,2,1,4,7,8,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[5,2,1,6,7,8,4,3]=>[5,6,7,2,1,8,4,3]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[5,3,6,1,7,8,4,2]=>[5,6,3,7,8,1,4,2]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[5,4,6,7,1,8,3,2]=>[5,4,6,7,8,3,1,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[1,5,6,7,8,3,2,4]=>[1,5,6,3,7,8,2,4]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[5,3,6,2,7,8,1,4]=>[3,5,2,6,1,7,8,4]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[6,3,5,2,7,1,8,4]=>[6,3,5,7,2,8,1,4]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[5,3,4,1,2,7,8,6]=>[7,1,3,5,4,2,8,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[4,3,6,2,7,8,5,1]=>[6,4,3,7,2,8,5,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[1,4,6,7,2,8,5,3]=>[6,4,7,1,8,5,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[3,4,6,7,2,8,5,1]=>[6,3,4,7,8,2,5,1]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[3,4,5,7,2,1,8,6]=>[7,3,4,5,8,2,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[4,2,1,6,7,8,3,5]=>[4,2,6,1,3,7,8,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[1,5,6,7,8,2,4,3]=>[5,1,6,2,7,8,4,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[2,4,6,7,1,8,5,3]=>[6,4,2,7,8,5,1,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[2,5,6,7,8,1,4,3]=>[5,2,1,6,7,8,4,3]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[1,4,3,6,2,5,7,8]=>[4,3,1,2,6,5,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[1,4,3,7,2,5,6,8]=>[4,3,1,2,5,7,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[1,4,3,7,6,8,2,5]=>[4,7,3,1,2,6,8,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[1,4,3,7,5,8,2,6]=>[4,7,3,1,5,2,8,6]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[1,4,3,7,2,6,5,8]=>[7,4,3,1,2,6,5,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[1,5,3,7,4,8,2,6]=>[5,3,7,1,4,2,8,6]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[1,3,2,6,5,8,4,7]=>[6,5,3,1,2,4,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[1,5,4,8,2,6,3,7]=>[5,4,1,8,2,6,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[1,5,4,8,3,7,2,6]=>[5,4,3,1,2,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[1,2,3,6,5,8,4,7]=>[6,5,1,2,3,4,8,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[6,8,2,4,5,7,1,3]=>[2,1,4,6,5,8,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[3,7,8,4,5,2,6,1]=>[3,4,7,5,8,2,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[7,8,1,4,5,3,6,2]=>[4,5,1,7,8,3,6,2]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[3,8,7,4,1,6,5,2]=>[8,3,7,6,4,5,1,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[4,8,3,6,1,5,7,2]=>[4,3,6,1,8,5,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[5,8,3,1,6,4,7,2]=>[5,3,8,6,4,1,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[5,8,1,4,7,6,3,2]=>[8,5,4,1,7,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[7,5,1,8,6,2,4,3]=>[7,1,8,5,6,4,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[7,1,8,4,2,6,3,5]=>[4,1,7,8,6,2,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[7,3,1,8,4,2,6,5]=>[7,3,8,6,4,1,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[7,2,8,4,1,6,5,3]=>[7,8,2,6,4,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[7,2,8,3,6,1,5,4]=>[7,2,3,8,6,1,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[7,1,8,2,3,6,5,4]=>[7,8,1,2,6,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[6,1,2,8,3,5,4,7]=>[6,1,2,8,5,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[1,5,2,3,8,4,7,6]=>[8,5,1,2,7,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[5,1,2,3,8,4,7,6]=>[8,5,1,2,3,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[6,2,4,1,8,7,3,5]=>[2,8,6,4,1,7,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[6,3,1,4,2,8,5,7]=>[6,3,4,8,1,2,5,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[2,6,3,8,5,1,4,7]=>[2,6,3,8,1,5,4,7]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[2,5,1,8,3,4,7,6]=>[8,2,5,1,3,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[1,2,5,3,8,4,7,6]=>[8,5,1,7,2,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[2,4,8,1,3,7,6,5]=>[8,7,2,1,4,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[2,5,4,1,3,8,7,6]=>[8,7,2,5,1,4,3,6]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[4,8,2,3,7,6,1,5]=>[2,8,4,3,1,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[4,8,1,2,3,7,6,5]=>[8,7,1,2,4,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[5,1,3,8,2,4,7,6]=>[8,1,5,3,2,4,7,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[1,5,3,8,2,4,7,6]=>[8,3,5,1,2,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[1,5,4,8,2,7,6,3]=>[8,5,4,7,1,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[5,4,8,1,2,7,6,3]=>[8,5,1,4,7,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[6,5,1,2,8,7,4,3]=>[8,6,5,1,7,4,2,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[5,3,1,6,4,2,8,7]=>[8,5,6,3,4,1,2,7]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[5,1,6,2,8,7,4,3]=>[8,5,6,7,4,1,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[4,1,2,5,8,7,6,3]=>[8,7,4,1,5,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[3,5,1,2,8,7,4,6]=>[5,8,1,3,2,7,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[3,6,2,8,7,5,1,4]=>[3,8,6,2,7,1,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[4,2,6,1,8,7,3,5]=>[4,8,2,6,1,7,3,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[3,4,8,7,1,2,6,5]=>[8,1,3,7,4,2,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[1,3,4,8,7,2,6,5]=>[8,3,7,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[1,3,4,8,2,7,6,5]=>[8,7,3,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[3,4,8,1,2,7,6,5]=>[8,7,1,3,4,2,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[3,4,8,2,7,6,1,5]=>[3,8,4,2,1,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[3,1,4,2,5,8,7,6]=>[8,7,3,4,1,2,5,6]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[7,8,2,1,5,3,6,4]=>[7,2,5,8,6,1,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[6,4,1,2,7,3,5,8]=>[1,6,4,2,7,3,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[2,3,7,5,4,1,8,6]=>[7,8,5,2,3,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[7,8,3,5,4,1,6,2]=>[3,7,5,8,4,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[7,8,2,5,4,6,1,3]=>[2,1,7,5,8,4,6,3]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[6,4,2,1,7,3,8,5]=>[6,7,4,8,2,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[4,3,7,5,8,6,1,2]=>[1,7,8,4,3,5,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[3,2,6,7,4,8,1,5]=>[3,6,2,4,7,1,8,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[1,7,6,5,3,8,4,2]=>[7,6,5,8,3,1,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[2,7,1,4,8,3,5,6]=>[2,1,7,4,3,5,8,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[3,7,6,4,8,5,1,2]=>[1,7,6,8,3,4,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[4,7,6,5,2,1,3,8]=>[2,7,6,4,5,1,3,8]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[4,7,6,5,2,8,1,3]=>[2,7,6,4,5,1,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[4,7,6,5,1,8,3,2]=>[7,6,4,5,8,3,1,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[1,7,6,5,2,8,3,4]=>[1,7,6,5,8,2,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,7,6,5,3,2,8,4]=>[7,6,5,8,3,1,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[4,7,6,5,1,2,8,3]=>[7,1,6,4,5,8,2,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[1,2,6,3,4,8,7,5]=>[8,6,1,7,2,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,7,2,4,8,3,6,5]=>[7,1,8,4,2,3,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[4,1,8,2,6,3,5,7]=>[4,1,2,8,6,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[1,7,2,6,8,3,5,4]=>[7,1,6,2,8,3,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,2,6,7,4,8,5,3]=>[6,7,8,1,2,4,5,3]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[3,2,8,5,4,6,1,7]=>[5,3,8,2,4,6,1,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[4,7,1,2,5,3,8,6]=>[7,4,1,8,2,5,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[1,7,6,5,8,2,4,3]=>[7,1,6,5,8,2,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[3,7,6,5,8,1,4,2]=>[3,7,6,5,1,8,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[4,7,6,8,3,5,1,2]=>[1,4,7,3,6,8,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[2,7,6,5,8,4,1,3]=>[2,7,6,5,1,8,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[6,3,2,1,7,4,8,5]=>[6,7,8,3,2,1,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[4,2,1,7,3,5,8,6]=>[7,4,2,8,1,3,5,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[8,2,5,1,3,7,6,4]=>[8,5,2,1,7,6,3,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[6,3,7,4,2,1,8,5]=>[6,7,8,3,4,2,1,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[7,5,4,3,2,1,8,6]=>[7,8,5,4,3,2,1,6]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[8,5,3,2,1,7,6,4]=>[8,5,7,6,3,2,1,4]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[1,7,6,2,4,8,3,5]=>[1,7,4,6,2,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[7,1,8,5,3,6,4,2]=>[5,7,8,6,3,1,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[1,8,6,2,3,7,5,4]=>[6,8,1,7,5,2,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,8,6,3,2,7,5,4]=>[6,8,7,5,3,1,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[5,8,3,2,7,1,6,4]=>[5,8,3,2,7,1,6,4]=>[[1,4],[2,6],[3,7],[5,8]]=>[3,2,3]
[8,7,2,6,1,5,4,3]=>[8,7,2,1,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[3,8,6,1,7,2,5,4]=>[8,3,1,6,7,5,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[7,2,8,5,6,1,4,3]=>[7,2,1,8,5,6,4,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[6,3,7,5,8,2,1,4]=>[3,6,7,2,5,8,1,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[3,7,2,6,8,4,1,5]=>[3,7,2,4,6,8,1,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[3,6,5,8,1,4,2,7]=>[3,6,5,1,4,8,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[2,6,5,8,4,1,3,7]=>[2,6,5,1,4,8,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[6,5,4,8,3,2,1,7]=>[6,5,4,3,8,2,1,7]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[8,4,3,7,2,1,6,5]=>[8,4,3,7,2,6,1,5]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[8,2,4,7,1,3,6,5]=>[8,2,1,4,3,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[4,3,6,8,2,1,5,7]=>[4,3,2,6,1,8,5,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[6,3,5,1,8,4,2,7]=>[6,3,5,4,8,1,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[8,4,1,5,7,3,6,2]=>[4,8,1,5,3,7,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[6,5,2,1,7,8,3,4]=>[2,6,5,7,1,3,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[6,3,7,4,8,5,2,1]=>[6,7,8,3,4,5,2,1]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[4,7,2,5,8,6,3,1]=>[7,4,8,2,5,6,3,1]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[6,3,1,8,4,7,5,2]=>[6,8,3,7,4,1,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[6,5,3,8,7,4,1,2]=>[1,8,6,5,7,3,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[5,4,8,1,7,6,2,3]=>[1,8,5,4,7,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[5,2,8,1,7,3,6,4]=>[5,8,2,7,1,3,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[6,4,8,2,1,7,5,3]=>[6,8,4,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[3,6,8,1,4,7,5,2]=>[6,3,8,1,4,7,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[5,7,3,8,1,6,4,2]=>[5,7,3,8,6,1,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[6,4,7,8,1,5,3,2]=>[4,6,7,8,1,5,3,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[6,3,7,8,5,2,4,1]=>[3,6,7,2,8,5,4,1]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[5,3,8,7,2,1,6,4]=>[5,8,7,3,2,6,1,4]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[8,3,7,6,1,5,4,2]=>[8,3,7,6,1,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[8,2,7,6,5,1,4,3]=>[8,2,7,6,1,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[4,3,8,7,6,2,1,5]=>[4,8,7,3,2,6,1,5]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[2,4,8,7,6,1,3,5]=>[2,1,8,7,4,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[7,5,8,6,4,3,2,1]=>[7,8,5,6,4,3,2,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[5,8,7,3,6,4,2,1]=>[5,8,7,3,6,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[4,8,7,6,2,5,3,1]=>[4,8,7,6,2,5,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[3,8,7,6,5,1,4,2]=>[3,8,7,6,5,1,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[2,8,7,6,5,4,1,3]=>[2,8,7,6,5,1,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[3,4,1,2,5,6,7,8,9]=>[1,3,4,2,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3]]=>[3,6]
[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,6]
[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[[1,5,6,7,8,9],[2],[3],[4]]=>[4,5]
[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>[5,4]
[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>[6,3]
[7,5,3,8,2,6,1,4,9]=>[3,5,7,2,1,8,6,4,9]=>[[1,4,6,8,9],[2,5],[3,7]]=>[3,2,2,2]
[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,2]
[3,4,1,2,5,6,7,8,9,10]=>[1,3,4,2,5,6,7,8,9,10]=>[[1,2,4,5,6,7,8,9,10],[3]]=>[3,7]
[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>[3,7]
[4,5,6,1,2,3,7,8,9,10]=>[1,2,4,5,6,3,7,8,9,10]=>[[1,2,3,5,6,7,8,9,10],[4]]=>[4,6]
[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>[4,6]
[5,6,7,8,1,2,3,4,9,10]=>[1,2,3,5,6,7,8,4,9,10]=>[[1,2,3,4,6,7,8,9,10],[5]]=>[5,5]
[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>[5,5]
[6,7,3,4,8,1,2,5,9,10]=>[1,3,4,6,7,2,8,5,9,10]=>[[1,2,4,5,7,8,9,10],[3,6]]=>[3,3,4]
[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>[6,4]
[7,8,3,4,9,10,1,2,5,6]=>[1,3,4,2,7,8,5,9,10,6]=>[[1,2,4,5,6,9,10],[3,7,8]]=>[3,4,3]
[7,5,3,8,2,6,1,4,9,10]=>[3,5,7,2,1,8,6,4,9,10]=>[[1,4,6,8,9,10],[2,5],[3,7]]=>[3,2,2,3]
[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>[7,3]
[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[8,2]
[3,6,5,1,2,4,8,7]=>[8,1,3,6,2,5,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[3,7,5,8,2,4,1,6]=>[3,2,7,5,4,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[3,8,5,7,2,4,1,6]=>[3,2,5,8,4,7,1,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[5,1,7,8,4,3,2,6]=>[5,4,7,8,1,3,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[5,1,2,6,4,3,8,7]=>[8,5,6,1,4,2,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[6,1,2,5,4,3,8,7]=>[8,6,5,1,2,4,3,7]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[4,1,2,6,5,3,8,7]=>[8,6,4,1,5,2,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[4,1,5,7,8,3,2,6]=>[4,5,1,7,3,8,2,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[4,7,1,8,3,6,2,5]=>[4,1,7,3,8,2,6,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[4,1,7,8,5,2,3,6]=>[1,4,7,2,8,5,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[7,5,3,8,1,4,2,6]=>[3,5,7,1,8,4,2,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[5,1,8,4,7,2,3,6]=>[1,5,2,8,4,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[7,1,2,3,5,8,6,4]=>[7,8,1,2,3,5,6,4]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[6,8,1,4,3,7,2,5]=>[4,6,1,3,8,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[8,7,3,2,4,1,6,5]=>[8,3,2,7,6,4,1,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[7,8,3,2,4,1,6,5]=>[7,3,2,8,6,4,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[6,7,1,4,3,8,2,5]=>[1,6,7,4,3,2,8,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[7,1,2,3,6,8,5,4]=>[7,6,1,2,3,8,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[7,1,2,3,8,5,6,4]=>[7,1,8,2,3,5,6,4]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[8,1,2,3,7,5,6,4]=>[8,1,5,2,3,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[8,1,2,3,6,5,7,4]=>[8,1,6,2,3,5,7,4]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[7,1,8,5,4,3,2,6]=>[5,7,8,4,3,1,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[3,8,7,1,4,2,6,5]=>[8,3,1,7,6,4,2,5]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[3,6,8,1,4,2,7,5]=>[6,3,8,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[3,5,7,8,2,4,1,6]=>[3,2,5,4,7,8,1,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[3,6,7,1,4,2,8,5]=>[6,3,7,1,8,4,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[8,6,2,7,3,1,4,5]=>[2,3,6,8,7,1,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[8,1,7,5,4,3,2,6]=>[5,8,7,4,1,3,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[2,1,7,3,4,6,8,5]=>[7,2,1,6,3,4,8,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[6,7,3,2,4,1,8,5]=>[6,3,7,8,2,4,1,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[7,1,2,3,5,6,8,4]=>[5,1,2,3,7,6,8,4]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[6,1,2,3,8,7,4,5]=>[1,8,6,2,3,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[5,1,2,3,7,8,6,4]=>[7,5,1,2,8,3,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[5,1,2,3,8,7,6,4]=>[8,7,5,1,2,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[5,1,2,3,8,6,7,4]=>[8,1,5,2,6,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[6,1,2,3,5,8,7,4]=>[8,6,1,2,3,5,7,4]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[8,6,3,2,4,7,1,5]=>[3,2,6,8,4,1,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[7,6,2,4,3,1,8,5]=>[7,6,2,8,4,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[6,1,2,3,5,7,8,4]=>[6,1,2,3,5,7,8,4]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[5,1,2,3,6,8,7,4]=>[8,5,1,2,6,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[7,8,1,2,6,3,5,4]=>[7,1,8,2,3,6,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,2,8,5,4,7,3,6]=>[5,4,8,1,2,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[1,3,8,5,4,2,7,6]=>[8,5,7,3,1,4,2,6]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[1,3,6,8,4,7,5,2]=>[6,8,3,1,4,7,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[2,4,8,1,7,3,6,5]=>[8,4,2,1,7,3,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[3,4,8,5,7,6,1,2]=>[1,8,3,7,4,5,6,2]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[1,2,6,8,4,5,7,3]=>[6,1,4,2,5,8,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[7,5,1,2,4,3,6,8]=>[1,7,2,5,4,3,6,8]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,2,1]
[7,4,6,1,5,2,3,8]=>[1,4,7,2,6,5,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[7,1,4,2,6,3,5,8]=>[1,7,4,2,6,3,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[1,6,4,2,8,3,5,7]=>[4,6,1,2,8,3,5,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[6,8,1,7,3,5,4,2]=>[6,8,1,7,3,5,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[7,1,3,6,5,4,2,8]=>[7,6,3,1,5,4,2,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[6,8,1,2,7,3,5,4]=>[6,1,8,2,7,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,6,2,3,8,5,4,7]=>[6,1,8,5,2,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[5,1,8,2,7,6,3,4]=>[1,8,5,7,2,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[5,8,2,7,6,3,4,1]=>[2,8,5,7,3,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[2,5,1,8,7,6,3,4]=>[2,8,7,5,1,6,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[2,5,3,8,7,4,6,1]=>[5,8,2,7,3,4,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[2,4,8,7,6,5,1,3]=>[2,8,7,6,1,4,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[4,2,8,7,6,3,5,1]=>[4,8,7,2,6,3,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[4,2,8,7,6,5,3,1]=>[8,7,6,4,5,2,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[4,1,8,7,6,5,3,2]=>[8,7,6,4,5,3,1,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[4,3,8,7,6,5,1,2]=>[1,8,7,6,4,3,5,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[5,8,3,7,6,1,4,2]=>[3,8,5,7,1,6,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[5,1,3,8,7,6,2,4]=>[1,8,7,5,3,2,6,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[5,8,7,4,6,1,2,3]=>[1,2,5,8,4,7,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[6,8,5,1,2,4,7,3]=>[6,1,2,5,8,4,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[5,6,2,4,3,1,8,7]=>[8,5,2,6,4,3,1,7]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[5,6,1,2,4,3,8,7]=>[8,5,1,2,6,4,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[4,5,8,1,7,2,3,6]=>[1,4,5,2,8,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[1,3,2,5,8,7,4,6]=>[5,8,3,1,2,4,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[3,5,1,8,7,4,6,2]=>[5,8,3,7,1,4,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[3,5,1,8,7,2,6,4]=>[8,3,5,7,1,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[4,3,6,1,2,8,5,7]=>[6,1,4,3,2,8,5,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[4,5,8,3,1,7,2,6]=>[4,5,3,1,8,7,2,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[3,2,5,8,7,1,6,4]=>[8,3,5,2,7,1,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[3,4,8,7,6,2,1,5]=>[3,8,7,4,2,6,1,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[3,1,4,8,7,6,2,5]=>[3,8,7,4,1,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[3,4,8,7,6,5,1,2]=>[1,8,7,6,3,4,5,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[1,3,4,8,7,6,2,5]=>[3,8,7,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[1,2,7,5,8,6,4,3]=>[7,8,5,6,1,2,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[7,1,4,8,2,6,5,3]=>[7,8,1,4,6,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[3,7,8,1,2,6,5,4]=>[7,8,1,3,2,6,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[2,7,8,1,3,6,5,4]=>[7,8,2,1,3,6,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[8,1,2,6,7,5,3,4]=>[1,6,8,2,3,7,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[6,8,3,7,4,1,5,2]=>[3,6,8,4,7,5,1,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[2,6,8,3,7,5,1,4]=>[2,6,8,3,1,7,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[2,8,1,6,7,5,3,4]=>[2,6,8,1,3,7,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[8,4,7,2,3,6,1,5]=>[2,4,3,1,8,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[8,2,7,1,4,6,3,5]=>[4,2,1,3,8,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[8,7,1,2,4,6,3,5]=>[4,1,2,3,8,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[1,6,8,3,7,2,5,4]=>[6,3,8,1,2,7,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[1,4,6,8,2,7,5,3]=>[6,4,8,1,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[1,6,5,8,2,7,4,3]=>[6,5,8,7,1,2,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[8,5,6,3,1,7,4,2]=>[5,6,8,7,3,4,1,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[5,6,2,8,1,7,4,3]=>[5,6,8,7,2,1,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[1,8,4,5,7,2,6,3]=>[4,5,1,8,7,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[6,8,4,2,7,1,5,3]=>[4,6,8,2,7,1,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[8,6,4,7,3,1,5,2]=>[4,6,8,3,7,5,1,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[8,4,5,7,3,1,6,2]=>[4,5,3,8,7,6,1,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[8,4,2,5,7,1,6,3]=>[4,5,2,8,7,1,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[8,3,4,7,2,6,1,5]=>[3,4,2,1,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[8,3,7,2,4,6,1,5]=>[3,2,4,1,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[8,7,3,4,5,1,6,2]=>[3,4,5,8,7,6,1,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[8,7,2,3,4,6,1,5]=>[2,3,4,1,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,7,2,3,6,1,4,5]=>[2,3,1,4,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[1,3,2,8,5,4,7,6]=>[8,5,7,3,1,2,4,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[4,2,8,5,3,7,1,6]=>[4,5,8,2,3,1,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[5,2,1,8,4,3,7,6]=>[8,5,4,7,2,1,3,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[7,2,8,4,3,1,6,5]=>[7,4,8,6,2,3,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[5,6,3,2,7,8,4,1]=>[5,6,7,3,2,8,4,1]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[4,1,6,3,2,7,8,5]=>[6,4,7,3,1,2,8,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[3,6,4,2,7,8,1,5]=>[3,6,4,2,1,7,8,5]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[8,1,7,4,3,6,5,2]=>[8,7,1,6,4,3,5,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[3,7,4,2,6,1,5,8]=>[3,4,7,2,1,6,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[4,1,7,3,2,6,5,8]=>[7,4,3,6,1,2,5,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[6,7,3,2,5,4,1,8]=>[6,3,7,5,2,4,1,8]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[7,6,3,2,1,5,4,8]=>[7,3,6,5,2,1,4,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[4,7,5,6,2,3,8,1]=>[2,4,7,5,6,3,8,1]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[4,6,5,7,2,8,1,3]=>[2,6,4,5,7,1,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[6,5,4,1,7,2,8,3]=>[6,5,4,7,8,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[8,1,5,6,7,2,3,4]=>[1,2,5,3,6,8,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[2,1,4,6,8,7,3,5]=>[4,8,2,1,3,6,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[3,4,6,8,7,1,2,5]=>[1,3,8,4,2,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[4,3,1,6,8,7,2,5]=>[4,8,3,1,6,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[6,3,5,1,8,7,2,4]=>[3,8,1,6,5,7,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[7,3,5,8,6,2,1,4]=>[3,7,2,8,5,6,1,4]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[7,2,8,5,6,3,1,4]=>[2,7,3,8,5,6,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[4,2,1,8,6,7,3,5]=>[4,2,8,6,1,3,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[2,3,8,6,7,1,4,5]=>[2,3,1,8,4,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[8,1,3,2,6,7,4,5]=>[1,8,3,2,6,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[5,2,8,7,6,4,1,3]=>[2,8,7,5,6,1,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[7,2,1,8,6,5,4,3]=>[7,8,6,5,4,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[7,3,6,1,8,5,4,2]=>[7,6,3,8,5,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[6,3,7,8,5,4,2,1]=>[6,7,8,3,5,4,2,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[5,3,7,8,6,4,1,2]=>[1,7,5,8,3,6,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[3,4,7,8,6,1,5,2]=>[3,7,4,8,1,6,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[8,1,5,7,6,2,4,3]=>[8,1,5,7,2,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[4,5,7,6,8,3,1,2]=>[1,7,4,5,6,8,3,2]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[6,4,7,5,8,3,2,1]=>[6,7,4,5,8,3,2,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[7,5,6,4,3,1,8,2]=>[5,7,6,4,3,8,1,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[6,5,1,7,4,3,8,2]=>[6,5,7,4,3,1,8,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[4,6,7,5,3,8,1,2]=>[1,6,4,7,5,3,8,2]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[3,6,7,5,1,4,8,2]=>[3,6,7,1,5,4,8,2]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[8,1,6,7,5,4,2,3]=>[1,6,8,7,2,5,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[8,1,7,6,5,4,3,2]=>[8,7,6,5,4,1,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[8]
[3,7,6,5,1,4,2,8]=>[3,7,6,5,1,4,2,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[4,7,6,5,3,1,2,8]=>[1,7,6,4,5,3,2,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[8,6,4,3,1,5,7,2]=>[4,6,8,3,5,1,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[8,6,4,1,5,2,7,3]=>[4,6,8,5,7,1,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[8,6,5,1,3,2,7,4]=>[8,1,6,5,7,3,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[5,3,1,7,2,4,6,8]=>[3,5,1,2,7,4,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[8,7,1,2,4,5,3,6]=>[4,1,2,5,8,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[8,6,1,2,4,7,3,5]=>[1,6,2,4,8,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[8,6,1,2,7,4,3,5]=>[1,6,8,4,7,2,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[8,7,1,2,5,4,3,6]=>[1,8,7,2,5,4,3,6]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[5,1,4,2,7,3,6,8]=>[5,4,1,2,7,3,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[5,7,8,1,2,4,6,3]=>[5,1,2,4,7,8,6,3]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[5,7,8,1,3,4,6,2]=>[3,1,5,4,7,8,6,2]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[8,1,5,7,2,4,6,3]=>[5,1,4,2,8,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[8,4,1,2,7,6,3,5]=>[4,8,1,2,7,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[1,4,2,3,8,7,5,6]=>[1,8,7,4,2,3,5,6]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[1,4,2,7,6,3,5,8]=>[4,7,1,6,2,3,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[6,1,2,8,7,5,3,4]=>[1,8,6,7,2,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[7,1,2,4,6,8,5,3]=>[7,4,1,2,6,8,5,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[7,1,2,6,8,5,3,4]=>[1,7,6,2,3,8,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[6,1,2,7,4,8,5,3]=>[6,7,8,1,4,2,5,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[7,1,5,3,2,8,6,4]=>[7,8,5,6,1,3,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[7,1,4,5,2,8,6,3]=>[7,4,8,1,5,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[4,8,7,3,1,5,6,2]=>[4,3,8,7,1,5,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[8,1,7,4,5,2,6,3]=>[8,1,4,5,7,6,2,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[8,1,7,5,3,2,6,4]=>[5,8,7,6,1,3,2,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[3,1,2,8,4,7,5,6]=>[1,8,3,7,2,4,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[3,1,2,8,6,4,5,7]=>[1,6,8,3,2,4,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[1,4,2,3,8,6,5,7]=>[6,8,1,4,2,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[1,4,2,3,8,5,7,6]=>[8,1,7,4,2,3,5,6]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[5,8,1,3,4,7,6,2]=>[8,3,1,5,4,7,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[6,1,2,8,7,3,5,4]=>[8,1,6,7,2,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[7,1,2,8,3,6,5,4]=>[7,8,1,6,2,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[7,1,2,8,6,4,5,3]=>[7,1,8,6,2,4,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[8,1,2,7,4,6,5,3]=>[8,7,1,4,2,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[8,1,2,7,3,6,5,4]=>[8,7,1,6,2,3,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[1,2,3,5,8,7,4,6]=>[5,8,1,2,3,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[7,8,5,3,1,4,2,6]=>[3,5,7,8,4,1,2,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[7,8,5,3,1,6,4,2]=>[5,7,8,6,3,4,1,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[7,8,5,3,6,1,4,2]=>[3,5,7,8,6,1,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[7,8,5,3,6,4,1,2]=>[1,5,7,8,6,3,4,2]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[7,8,5,3,4,1,6,2]=>[3,5,7,8,4,6,1,2]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[7,8,5,3,1,4,6,2]=>[3,5,7,8,4,1,6,2]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[7,8,5,3,1,2,6,4]=>[5,1,7,8,6,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[7,5,8,3,4,1,6,2]=>[3,5,7,4,8,6,1,2]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[7,5,8,3,4,6,1,2]=>[1,3,5,7,4,8,6,2]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[7,5,6,3,4,1,8,2]=>[3,5,7,6,4,8,1,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[7,5,6,3,1,4,8,2]=>[3,5,7,6,4,1,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[7,5,6,3,1,2,8,4]=>[5,1,7,6,8,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[7,5,3,1,4,2,6,8]=>[3,5,7,4,1,2,6,8]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[7,5,3,1,4,2,8,6]=>[7,3,8,5,4,1,2,6]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[7,5,3,1,6,2,8,4]=>[5,7,6,3,8,1,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[7,5,3,1,6,4,8,2]=>[5,7,6,3,4,1,8,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[7,5,3,6,1,4,8,2]=>[3,5,7,6,1,4,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[7,5,3,8,4,6,1,2]=>[1,5,7,3,8,4,6,2]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[7,5,3,1,8,4,6,2]=>[5,7,3,8,4,1,6,2]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[7,5,3,1,8,2,6,4]=>[5,7,8,3,1,6,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[7,5,3,1,8,6,2,4]=>[3,7,8,5,1,6,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[7,5,3,8,6,1,4,2]=>[3,7,8,5,6,1,4,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[7,5,3,8,6,4,1,2]=>[1,7,8,5,6,3,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[7,5,8,3,6,4,1,2]=>[1,5,7,8,3,6,4,2]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[7,5,8,3,1,6,2,4]=>[3,5,7,1,8,6,2,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[7,5,3,6,1,4,2,8]=>[3,5,7,6,1,4,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[7,5,3,8,4,1,2,6]=>[1,5,7,3,8,4,2,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[7,5,8,6,3,1,2,4]=>[1,3,7,8,5,6,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[7,5,8,6,3,4,1,2]=>[1,3,7,8,5,6,4,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[7,5,3,4,1,6,2,8]=>[3,5,7,4,6,1,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[7,5,3,4,1,8,2,6]=>[3,5,7,4,1,8,2,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[7,5,6,3,1,8,4,2]=>[5,7,6,8,3,4,1,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[7,5,6,3,8,1,4,2]=>[3,5,7,6,8,1,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[7,5,6,3,8,4,1,2]=>[1,5,7,6,8,3,4,2]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[7,5,3,6,8,4,1,2]=>[1,5,7,6,3,8,4,2]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[7,5,3,6,8,1,4,2]=>[3,5,7,6,1,8,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[7,5,3,6,1,8,4,2]=>[5,7,6,3,8,4,1,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[7,5,3,1,6,8,4,2]=>[5,7,6,3,8,1,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[7,5,3,1,4,8,2,6]=>[3,5,7,4,1,2,8,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[7,5,3,1,4,6,2,8]=>[3,5,7,4,1,6,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[7,5,3,1,4,8,6,2]=>[7,3,8,5,4,1,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[7,5,3,4,1,8,6,2]=>[7,3,8,5,4,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[7,5,3,4,8,1,6,2]=>[3,5,7,4,8,1,6,2]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[7,5,3,4,8,6,1,2]=>[1,7,3,8,5,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[7,5,3,4,1,6,8,2]=>[3,5,7,4,6,1,8,2]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[7,5,3,1,4,6,8,2]=>[3,5,7,4,1,6,8,2]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[5,4,8,3,2,7,6,1]=>[8,5,4,3,7,2,6,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[6,4,5,3,2,1,8,7]=>[8,4,6,5,3,2,1,7]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[4,5,8,3,2,7,6,1]=>[8,4,5,3,7,2,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[2,1,5,8,4,7,6,3]=>[8,5,4,2,1,7,6,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[4,6,8,3,7,5,2,1]=>[6,4,8,3,7,5,2,1]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[7,6,4,3,8,5,2,1]=>[7,6,8,4,3,5,2,1]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[4,3,1]
[2,1,8,6,7,5,4,3]=>[8,6,7,2,5,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[8,3,2,6,7,5,4,1]=>[8,6,3,2,7,5,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[8,5,7,6,4,3,2,1]=>[8,5,7,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[5,3]
[8,4,5,3,2,7,6,1]=>[8,4,5,7,3,2,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[8,4,7,3,6,5,2,1]=>[8,4,3,7,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[8,4,6,3,7,5,2,1]=>[6,4,8,7,3,5,2,1]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[3,7,2,6,8,5,4,1]=>[7,6,3,2,8,5,4,1]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[3,8,2,6,7,5,4,1]=>[6,8,3,2,7,5,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[3,6,2,8,7,5,4,1]=>[8,6,7,3,5,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[6,4,7,3,8,5,2,1]=>[6,7,4,8,3,5,2,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[6,4,8,3,7,5,2,1]=>[6,8,4,3,7,5,2,1]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[7,4,8,3,6,5,2,1]=>[7,4,8,3,6,5,2,1]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[7,4,5,3,2,8,6,1]=>[7,4,8,5,3,2,6,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[7,5,4,3,2,8,6,1]=>[7,8,5,4,3,2,6,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[7,3,2,5,4,8,6,1]=>[7,8,3,5,2,4,6,1]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[2,1,7,5,4,8,6,3]=>[7,8,5,4,2,1,6,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[7,3,2,8,6,5,4,1]=>[7,8,6,5,3,2,4,1]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[7,8,4,3,6,5,2,1]=>[7,4,8,6,3,5,2,1]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[6,8,5,7,4,3,2,1]=>[6,5,8,7,4,3,2,1]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[6,8,4,3,7,5,2,1]=>[6,8,4,7,3,5,2,1]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[6,3,2,8,7,5,4,1]=>[8,6,7,5,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[6,3,2,7,8,5,4,1]=>[6,7,8,3,2,5,4,1]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[6,7,4,3,8,5,2,1]=>[6,7,8,4,3,5,2,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[2,3,1,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>[2,7]
[2,3,4,1,5,6,7,8,9]=>[2,3,4,1,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>[2,7]
[2,3,4,5,1,6,7,8,9]=>[2,3,4,5,1,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>[2,7]
[2,3,4,5,6,1,7,8,9]=>[2,3,4,5,6,1,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>[2,7]
[2,3,1,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[2,8]
[2,4,3,1,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9]=>[[1,3,5,6,7,8,9],[2],[4]]=>[2,2,5]
[2,3,4,1,5,6,7,8,9,10]=>[2,3,4,1,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[2,8]
[2,3,4,5,1,6,7,8,9,10]=>[2,3,4,5,1,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[2,8]
[2,3,4,5,6,1,7,8,9,10]=>[2,3,4,5,6,1,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[2,8]
[2,3,4,5,6,7,1,8,9,10]=>[2,3,4,5,6,7,1,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[2,8]
[2,3,4,5,6,7,8,1,9,10]=>[2,3,4,5,6,7,8,1,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[2,8]
[2,3,4,5,6,7,9,8,1]=>[9,2,3,4,5,6,7,8,1]=>[[1,3,4,5,6,7,8],[2],[9]]=>[2,7]
[4,6,8,3,5,7,1,2]=>[1,4,3,6,5,8,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[6,8,1,2,4,5,7,3]=>[4,1,2,6,5,8,7,3]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[3,5,8,2,4,7,1,6]=>[3,2,5,4,1,8,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[8,3,5,2,4,1,6,7]=>[3,2,5,4,8,1,6,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[4,2,5,7,3,6,1,8]=>[4,5,2,3,7,6,1,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[4,5,2,8,3,1,6,7]=>[4,5,2,3,8,1,6,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[2,1,6,8,4,7,3,5]=>[4,6,2,1,3,8,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[1,2,5,8,3,6,7,4]=>[5,6,1,2,3,8,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[5,3,6,8,4,7,1,2]=>[1,5,6,3,4,8,7,2]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[1,6,5,8,2,4,7,3]=>[6,1,5,4,2,8,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[3,1,2,6,8,5,7,4]=>[6,5,1,3,2,8,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[1,4,3,8,2,6,7,5]=>[6,4,3,1,2,8,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[5,4,8,3,2,1,6,7]=>[5,4,3,2,8,1,6,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[4,3,6,2,7,5,1,8]=>[6,4,3,7,2,5,1,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[4,6,3,2,1,8,5,7]=>[6,4,3,8,2,1,5,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[4,3,1,7,8,2,6,5]=>[7,4,3,1,8,2,6,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[3,5,1,2,7,8,6,4]=>[7,5,1,3,8,2,6,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[7,5,1,4,8,2,6,3]=>[7,1,5,4,8,2,6,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[5,4,7,3,8,6,1,2]=>[1,7,5,4,8,3,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[5,8,4,7,6,3,1,2]=>[1,8,5,4,7,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[5,8,7,1,4,2,6,3]=>[8,1,5,4,7,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[8,3,5,1,2,7,6,4]=>[8,5,1,3,7,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[4,8,3,1,7,2,6,5]=>[8,4,3,1,7,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[1,8,4,3,5,2,7,6]=>[8,4,3,7,1,5,2,6]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[4,6,3,1,5,2,8,7]=>[8,4,3,6,5,1,2,7]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[4,7,3,6,5,2,1,8]=>[7,4,3,6,5,2,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[5,3,7,6,4,2,1,8]=>[7,5,6,3,4,2,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[1,6,3,4,2,8,7,5]=>[8,6,7,1,3,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[1,8,3,6,2,7,5,4]=>[8,6,1,7,3,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[1,6,8,7,4,2,5,3]=>[8,1,6,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[6,4,8,7,5,3,1,2]=>[1,8,6,7,4,5,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[7,6,4,3,8,5,1,2]=>[1,7,6,8,4,3,5,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[1,7,6,2,8,4,5,3]=>[7,1,6,8,4,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[7,1,3,2,6,8,5,4]=>[7,6,1,8,3,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[1,5,3,2,7,4,8,6]=>[7,5,8,3,1,2,4,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[6,3,2,1,8,5,4,7]=>[6,5,8,3,2,1,4,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[6,5,3,2,7,4,1,8]=>[6,5,7,3,2,4,1,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[5,2,6,3,7,4,1,8]=>[5,6,7,2,3,4,1,8]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[2,1,7,3,8,5,4,6]=>[5,7,8,2,1,3,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[1,6,2,3,7,8,5,4]=>[6,7,1,8,2,3,5,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[1,6,7,2,8,4,5,3]=>[6,1,7,8,2,4,5,3]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[5,7,1,8,2,4,6,3]=>[5,1,7,2,8,4,6,3]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[5,1,2,7,8,3,6,4]=>[5,7,1,2,8,3,6,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[2,4,1,7,8,6,3,5]=>[4,7,2,1,8,3,6,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[4,2,1,7,3,8,5,6]=>[4,7,2,8,1,3,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[6,2,8,4,3,1,5,7]=>[4,6,2,8,3,1,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[7,3,2,1,8,4,5,6]=>[3,2,7,8,1,4,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[7,8,3,2,5,6,1,4]=>[3,2,1,7,8,5,6,4]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[7,1,8,2,4,5,6,3]=>[4,1,2,7,8,5,6,3]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[8,7,6,1,2,4,5,3]=>[4,1,2,8,7,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[8,3,6,5,2,1,4,7]=>[3,2,8,6,5,1,4,7]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[7,6,3,5,2,4,1,8]=>[3,2,7,6,5,4,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[7,4,6,2,5,3,1,8]=>[4,7,2,6,5,3,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[8,2,4,1,6,5,3,7]=>[4,8,2,6,5,1,3,7]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[4,2,8,1,7,5,3,6]=>[4,8,2,7,1,5,3,6]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[8,2,4,1,7,6,3,5]=>[4,8,2,1,7,6,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[8,7,1,5,6,2,4,3]=>[5,1,8,2,7,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[8,5,7,3,6,4,1,2]=>[1,5,8,3,7,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[8,1,6,7,5,2,4,3]=>[6,1,8,7,2,5,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[8,1,2,6,4,3,7,5]=>[6,8,7,1,2,4,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[2,8,1,7,5,4,3,6]=>[5,8,7,2,1,4,3,6]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[2,5,1,8,6,4,3,7]=>[5,8,6,2,4,1,3,7]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[2,1,8,6,5,4,3,7]=>[6,8,5,4,2,1,3,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[1,2,7,5,4,3,8,6]=>[7,8,5,4,1,2,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[1,7,2,4,3,8,6,5]=>[7,8,6,1,4,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[1,7,2,8,3,6,5,4]=>[7,8,1,6,5,2,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[7,3,8,6,5,4,1,2]=>[1,7,8,6,5,3,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[1,8,7,6,5,2,4,3]=>[8,1,7,6,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[8,1,7,3,2,6,5,4]=>[8,7,1,6,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[5,1,4,3,2,8,7,6]=>[8,7,5,4,1,3,2,6]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[8,6,5,3,2,1,7,4]=>[6,8,5,7,3,2,1,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[8,6,5,4,1,7,2,3]=>[1,6,8,5,4,7,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[8,6,1,7,4,3,2,5]=>[4,6,8,7,3,1,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[4,6,3,2,7,5,1,8]=>[6,4,7,3,2,5,1,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[1,4,3,7,2,5,8,6]=>[7,4,3,1,2,8,5,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[5,7,4,3,1,8,6,2]=>[7,5,8,4,3,6,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[1,8,7,2,5,4,6,3]=>[8,1,5,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[4,3,1,8,7,5,2,6]=>[4,8,7,3,5,1,2,6]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[1,4,8,6,3,5,2,7]=>[4,3,8,1,6,5,2,7]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[7,4,6,3,5,2,1,8]=>[4,3,7,6,5,2,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[1,3,5,6,8,4,2,7]=>[5,3,1,6,4,8,2,7]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[3,1,4,6,8,7,2,5]=>[3,8,4,1,2,6,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[1,6,2,4,8,7,5,3]=>[8,6,7,1,4,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[8,4,1,6,7,5,3,2]=>[8,4,6,7,1,5,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[7,3,6,8,5,1,2,4]=>[1,3,7,2,6,8,5,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[3,6,5,2,8,1,4,7]=>[3,6,2,5,1,4,8,7]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[4,2,6,3,8,1,5,7]=>[4,2,6,3,1,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[4,2,6,7,3,5,1,8]=>[4,2,6,3,7,5,1,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[3,6,2,4,7,5,1,8]=>[6,3,2,7,4,5,1,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[3,6,2,4,1,8,5,7]=>[6,3,2,4,8,1,5,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[7,3,8,2,1,6,4,5]=>[3,7,2,8,1,6,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[3,8,7,2,1,4,6,5]=>[8,3,2,7,1,6,4,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[3,8,2,7,1,5,4,6]=>[3,8,2,1,5,7,4,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[3,6,8,2,1,5,4,7]=>[6,3,2,5,8,1,4,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[2,4,8,1,6,5,3,7]=>[4,8,2,6,1,5,3,7]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[4,2,8,1,5,7,3,6]=>[4,5,2,1,3,8,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[8,5,7,6,1,4,2,3]=>[1,8,2,5,7,6,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[1,6,2,8,7,3,5,4]=>[8,1,6,7,5,2,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,8,2,4,6,7,3,5]=>[4,1,2,3,8,6,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[2,8,5,4,7,1,3,6]=>[2,5,1,8,4,3,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[7,2,5,6,4,3,1,8]=>[5,7,2,6,4,3,1,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[1,2,7,4,8,6,3,5]=>[4,7,8,1,2,3,6,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[1,2,7,8,3,6,5,4]=>[7,8,1,6,2,3,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,8,7,6,3,5,2,4]=>[1,8,3,7,6,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[1,8,7,4,6,3,2,5]=>[1,8,7,4,3,6,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[7,1,6,4,2,3,5,8]=>[1,2,7,6,4,3,5,8]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[8,6,2,4,7,3,5,1]=>[2,6,4,8,3,7,5,1]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[8,6,2,4,5,7,3,1]=>[4,2,6,8,5,7,3,1]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[7,1,2,3,8,5,4,6]=>[1,7,8,2,5,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[7,1,5,4,6,2,8,3]=>[7,5,1,4,6,8,2,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[7,1,6,5,4,3,2,8]=>[7,6,5,4,1,3,2,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[5,6,2,4,8,7,1,3]=>[2,8,1,5,6,4,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[6,3,8,2,4,7,1,5]=>[3,2,6,4,1,8,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[6,5,7,8,2,4,1,3]=>[2,1,6,5,7,8,4,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[4,6,8,1,3,5,2,7]=>[4,1,3,6,5,8,2,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[4,3,8,1,2,7,5,6]=>[1,8,4,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[2,8,3,1,5,6,4,7]=>[2,8,3,5,1,6,4,7]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[3,8,7,1,5,4,2,6]=>[3,8,5,7,1,4,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[3,4,1,7,5,6,8,2]=>[3,7,4,5,1,6,8,2]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[3,7,4,1,6,2,8,5]=>[7,3,6,4,8,1,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[8,4,7,2,5,3,6,1]=>[4,2,8,5,7,3,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[4,7,8,1,2,3,6,5]=>[7,1,2,4,3,8,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[7,6,5,1,3,8,2,4]=>[1,7,3,6,5,2,8,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[8,4,5,3,7,2,6,1]=>[4,5,3,8,2,7,6,1]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[4,7,5,2,8,1,6,3]=>[4,7,5,8,2,1,6,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[7,3,8,4,1,5,2,6]=>[3,4,7,8,5,1,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[6,8,5,7,2,1,3,4]=>[2,1,6,5,8,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[4,8,5,2,7,1,3,6]=>[2,4,5,8,1,3,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[6,3,5,2,1,7,4,8]=>[6,3,5,7,2,1,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[3,6,5,4,2,8,1,7]=>[6,5,3,4,2,1,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[1,6,5,8,2,4,3,7]=>[6,1,5,2,8,4,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[1,6,8,2,4,3,7,5]=>[6,8,1,2,7,4,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[1,6,2,4,3,7,8,5]=>[6,7,1,4,2,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[1,5,8,2,4,7,3,6]=>[5,1,4,2,3,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[1,5,6,7,2,4,8,3]=>[5,1,6,2,7,4,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[1,5,8,2,4,6,7,3]=>[5,1,4,2,6,8,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[1,5,7,2,4,6,8,3]=>[5,1,4,2,7,6,8,3]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[1,5,7,8,3,2,4,6]=>[1,5,3,7,2,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[1,5,8,3,2,4,6,7]=>[1,5,3,2,8,4,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[1,5,6,2,4,8,3,7]=>[5,1,6,2,4,3,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[1,7,6,2,8,3,4,5]=>[1,2,7,6,8,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[1,4,2,3,5,8,7,6]=>[8,7,1,4,2,3,5,6]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[1,5,2,3,4,8,7,6]=>[8,7,1,2,5,3,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[1,6,5,2,3,8,7,4]=>[8,6,1,5,7,2,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,7,6,5,2,8,4,3]=>[7,6,5,8,4,1,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[1,6,7,5,2,3,8,4]=>[6,1,7,5,2,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[1,7,5,2,8,4,3,6]=>[5,7,4,8,1,2,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[1,7,5,6,2,8,3,4]=>[1,7,5,2,6,8,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[1,5,8,3,2,4,7,6]=>[8,1,5,3,7,2,4,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[1,7,3,5,2,8,4,6]=>[5,7,1,3,2,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[1,6,4,2,3,7,5,8]=>[6,1,7,4,2,3,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[1,5,7,3,2,4,8,6]=>[7,1,5,8,3,2,4,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,7,3,4,2,8,5,6]=>[1,7,8,3,4,2,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[1,6,7,4,2,3,8,5]=>[6,1,7,8,2,4,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[1,6,4,2,3,8,5,7]=>[6,1,4,8,2,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[1,7,5,2,8,6,4,3]=>[7,8,5,6,4,1,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[1,6,4,2,3,8,7,5]=>[8,6,1,7,4,2,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[7,3,5,6,1,4,8,2]=>[3,5,1,7,6,4,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[8,6,1,4,2,7,5,3]=>[8,6,1,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[6,1,7,4,3,5,8,2]=>[4,6,7,3,1,5,8,2]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[1,7,6,4,3,5,8,2]=>[4,7,6,3,1,5,8,2]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[8,1,6,4,2,7,5,3]=>[6,8,7,4,1,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[8,4,1,3,7,2,5,6]=>[4,1,3,2,8,5,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[4,7,1,3,8,2,5,6]=>[4,1,3,2,7,5,8,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[7,4,1,3,8,2,5,6]=>[1,4,7,3,2,5,8,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[1,3,6,4,2,8,5,7]=>[6,3,8,1,4,2,5,7]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[4,7,3,1,2,8,5,6]=>[1,7,4,3,8,2,5,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[6,8,1,4,2,7,5,3]=>[6,8,4,1,7,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[8,7,1,3,6,2,5,4]=>[8,3,1,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[6,8,5,7,3,2,1,4]=>[3,6,5,8,7,2,1,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[3,7,4,6,8,2,1,5]=>[3,4,7,2,6,8,1,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[1,4,7,3,8,2,5,6]=>[4,1,3,7,2,5,8,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[2,5,3,4,8,6,1,7]=>[2,8,5,3,4,6,1,7]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[3,7,5,4,8,2,1,6]=>[5,7,3,4,2,8,1,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[4,1,7,3,8,2,5,6]=>[4,3,1,7,2,5,8,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[8,1,4,3,7,2,5,6]=>[1,4,8,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[8,2,3,4,7,6,1,5]=>[2,8,3,4,1,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[4,2,3,8,5,6,1,7]=>[2,4,8,3,5,6,1,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[8,2,3,7,5,6,1,4]=>[2,3,8,1,5,7,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[1,7,8,4,2,6,5,3]=>[7,8,1,6,4,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[4,7,1,8,2,5,6,3]=>[4,7,1,2,8,5,6,3]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[1,4,8,3,6,2,5,7]=>[4,3,1,2,6,8,5,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[7,5,8,6,3,2,1,4]=>[3,7,8,5,6,2,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[2,5,3,8,7,6,1,4]=>[2,8,7,5,3,1,6,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[3,7,5,8,6,2,1,4]=>[3,7,8,2,5,6,1,4]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[3,7,8,6,5,2,1,4]=>[3,7,8,2,6,5,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[1,8,7,3,6,2,5,4]=>[8,1,7,3,6,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[6,8,7,5,3,2,1,4]=>[3,8,6,7,5,2,1,4]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[5,7,6,8,3,4,1,2]=>[1,3,7,5,6,8,4,2]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[3,7,4,6,5,8,1,2]=>[1,7,3,6,4,5,8,2]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[3,6,4,7,5,8,1,2]=>[1,6,7,3,4,5,8,2]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[1,6,2,7,5,8,3,4]=>[1,6,7,5,2,3,8,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[1,6,4,8,5,7,2,3]=>[1,6,8,2,4,5,7,3]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[7,8,1,5,2,4,3,6]=>[1,7,2,8,5,4,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[1,8,2,6,5,7,3,4]=>[1,8,2,6,5,3,7,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,7,2,6,5,8,3,4]=>[1,7,6,2,5,3,8,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,5,2,7,6,8,3,4]=>[1,7,5,6,2,3,8,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[5,7,6,8,1,4,2,3]=>[1,7,2,5,6,8,4,3]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,2,1]
[5,8,6,7,1,3,2,4]=>[1,5,3,8,6,7,2,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[1,3,2,7,6,8,4,5]=>[3,7,6,1,2,4,8,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[7,8,1,3,2,6,4,5]=>[1,7,3,8,2,6,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[7,8,1,6,2,4,3,5]=>[1,7,2,8,4,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[7,8,1,4,2,6,3,5]=>[1,7,4,2,8,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[7,8,2,1,4,3,6,5]=>[7,2,8,4,6,1,3,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[4,3,6,5,8,7,1,2]=>[1,8,6,4,3,5,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[3,4,1,5,6,7,8,9,2]=>[3,4,5,1,6,7,8,9,2]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[3,4,5,1,6,7,8,9,2]=>[3,4,5,6,1,7,8,9,2]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[3,4,5,6,1,7,8,9,2]=>[3,4,5,6,7,1,8,9,2]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[3,4,5,6,7,1,8,9,2]=>[3,4,5,6,7,8,1,9,2]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[3,4,5,6,7,8,1,9,2]=>[3,4,5,6,7,8,9,1,2]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[3,4,1,5,6,7,8,9,10,2]=>[3,4,5,1,6,7,8,9,10,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[3,7]
[3,4,5,1,6,7,8,9,10,2]=>[3,4,5,6,1,7,8,9,10,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[3,7]
[3,4,5,6,1,7,8,9,10,2]=>[3,4,5,6,7,1,8,9,10,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[3,7]
[3,4,5,6,7,1,8,9,10,2]=>[3,4,5,6,7,8,1,9,10,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[3,7]
[3,4,5,6,7,8,1,9,10,2]=>[3,4,5,6,7,8,9,1,10,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[3,7]
[3,4,5,6,7,8,1,2,9]=>[1,3,4,5,6,7,8,2,9]=>[[1,2,4,5,6,7,8,9],[3]]=>[3,6]
[3,4,5,6,7,8,9,1,10,2]=>[3,4,5,6,7,8,9,10,1,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[3,7]
[1,6,2,3,8,7,4,5]=>[1,8,6,2,7,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,4,7,6,2,5,8,3]=>[4,7,6,1,2,5,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[1,2,6,5,3,7,4,8]=>[6,5,7,1,2,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[1,3,7,5,2,6,8,4]=>[7,3,5,1,6,2,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[1,3,7,4,2,6,8,5]=>[7,3,6,1,4,2,8,5]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[1,2,6,4,3,7,8,5]=>[6,7,4,1,2,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[1,4,7,3,2,5,8,6]=>[7,4,1,8,3,2,5,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[1,5,3,2,4,8,6,7]=>[3,8,5,1,2,4,6,7]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[1,7,5,3,2,8,6,4]=>[7,8,5,6,3,1,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[1,5,3,2,4,8,7,6]=>[8,7,3,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,6,5,4,3,1,8,2]=>[7,6,5,4,3,8,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[6,8,5,4,3,2,1,7]=>[6,5,8,4,3,2,1,7]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[7,1,5,4,3,8,6,2]=>[7,8,5,4,1,3,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[3,6,5,4,8,1,7,2]=>[6,5,3,4,8,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[6,8,1,4,3,2,7,5]=>[6,8,1,7,4,3,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[2,8,5,4,3,7,1,6]=>[5,4,8,2,3,1,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[7,6,1,4,3,8,5,2]=>[7,6,8,1,4,3,5,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[4,6,5,8,3,1,7,2]=>[6,4,5,3,8,7,1,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[1,8,2,4,3,7,6,5]=>[8,7,1,6,4,2,3,5]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[1,6,3,4,8,7,5,2]=>[8,6,7,1,3,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[1,4,5,8,3,7,6,2]=>[8,4,5,1,3,7,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[1,8,3,4,7,2,6,5]=>[8,3,1,4,7,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[7,5,8,4,3,2,1,6]=>[5,7,4,8,3,2,1,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[4,8,5,7,3,2,1,6]=>[4,5,8,3,7,2,1,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[5,1,7,6,8,4,3,2]=>[7,5,6,8,4,1,3,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[6,4,8,5,2,7,1,3]=>[2,6,4,8,5,1,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[5,1,8,6,7,4,3,2]=>[5,8,6,7,4,1,3,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[5,4,6,8,2,1,7,3]=>[5,4,6,8,2,7,1,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[8,4,6,5,2,1,7,3]=>[4,8,6,5,7,2,1,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[4,8,7,5,6,1,3,2]=>[4,1,8,7,5,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[5,1,8,7,4,2,3,6]=>[1,5,8,4,7,2,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[2,8,6,7,4,3,5,1]=>[2,8,6,4,7,3,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[3,6,5,2,4,1,8,7]=>[8,3,6,2,5,4,1,7]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[3,8,7,1,4,6,5,2]=>[8,3,7,1,4,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[4,3,7,6,8,2,5,1]=>[4,7,3,2,6,8,5,1]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[5,3,6,8,1,7,2,4]=>[3,5,1,6,8,2,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[3,2,6,8,5,7,1,4]=>[3,6,2,1,5,8,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[6,3,7,2,4,8,5,1]=>[6,3,7,2,8,4,5,1]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[7,1,8,2,5,4,3,6]=>[1,7,8,5,4,2,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[8,4,7,6,2,3,1,5]=>[2,4,8,3,7,6,1,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[8,4,7,1,2,5,6,3]=>[4,1,5,2,8,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[4,2,8,7,3,5,6,1]=>[4,2,8,3,7,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[7,4,3,8,2,5,6,1]=>[4,3,7,2,5,8,6,1]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[6,4,1,5,8,2,7,3]=>[4,6,5,8,1,2,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[2,1,5,8,7,4,6,3]=>[5,8,4,2,1,7,6,3]=>[[1,3],[2,6],[4,7],[5,8]]=>[2,3,3]
[8,3,5,6,7,4,1,2]=>[1,5,3,6,8,7,4,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[7,4,3,2,8,5,6,1]=>[4,7,8,3,2,5,6,1]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[4,7,8,3,1,5,6,2]=>[4,3,7,1,8,5,6,2]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[7,2,3,4,8,5,6,1]=>[2,7,3,4,8,5,6,1]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[6,1,8,5,2,7,4,3]=>[6,5,8,7,4,1,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[2,1,8,3,6,7,5,4]=>[8,6,2,1,7,3,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[8,2,1,6,4,7,5,3]=>[8,6,2,7,4,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[7,8,2,6,4,1,5,3]=>[7,2,4,8,6,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[5,1,6,8,4,7,2,3]=>[1,5,6,4,2,8,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[3,6,8,7,5,2,1,4]=>[3,8,6,2,7,5,1,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[8,1,6,4,7,3,2,5]=>[1,8,6,4,3,7,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[3,2,5,8,4,1,7,6]=>[8,5,3,2,4,7,1,6]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[8,4,7,1,5,2,3,6]=>[1,4,2,8,5,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[6,1,4,8,7,3,5,2]=>[8,1,6,4,3,7,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[7,2,8,4,3,5,6,1]=>[4,2,7,8,3,5,6,1]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[4,7,8,1,3,5,6,2]=>[4,1,3,5,7,8,6,2]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[4,8,2,7,3,5,6,1]=>[4,2,3,8,5,7,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[3,8,1,7,2,5,6,4]=>[8,3,1,2,5,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[6,4,8,7,1,3,2,5]=>[1,8,4,6,3,7,2,5]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[2,8,4,6,7,3,1,5]=>[4,2,3,8,6,7,1,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[4,3,8,2,7,6,1,5]=>[4,8,3,2,1,7,6,5]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[6,8,4,2,1,3,7,5]=>[6,2,8,4,7,1,3,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[7,8,2,4,3,5,6,1]=>[2,4,7,3,8,5,6,1]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[2,8,3,7,1,5,6,4]=>[8,2,3,1,5,7,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[8,1,2,7,3,5,6,4]=>[8,1,2,5,3,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[6,4,1,3,2,8,5,7]=>[6,1,8,4,3,2,5,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[5,3,8,6,2,1,4,7]=>[3,5,8,2,6,1,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[6,8,5,2,7,4,3,1]=>[6,5,8,7,4,2,3,1]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[6,8,1,2,4,5,3,7]=>[4,1,2,6,5,8,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[8,1,6,2,4,5,3,7]=>[1,8,2,4,6,5,3,7]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[5,8,1,6,2,3,4,7]=>[1,2,5,3,8,6,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[2,3,6,8,4,5,1,7]=>[2,6,3,4,5,8,1,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[8,7,4,3,1,6,2,5]=>[4,3,8,7,1,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[1,7,4,3,8,6,2,5]=>[4,7,8,3,1,2,6,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[4,8,6,5,7,2,1,3]=>[2,6,8,4,5,7,1,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[4,7,6,8,2,1,5,3]=>[4,7,6,2,8,5,1,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[6,1,8,7,4,3,5,2]=>[4,8,6,7,3,1,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[8,5,4,3,1,6,7,2]=>[5,4,8,3,6,1,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[1,5,8,6,3,4,7,2]=>[5,1,8,3,6,4,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[4,1,3,8,5,6,7,2]=>[4,1,8,3,5,6,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[6,5,8,4,3,1,7,2]=>[6,5,4,8,3,7,1,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[7,2,8,1,3,6,4,5]=>[2,7,1,3,8,4,6,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[1,8,5,2,3,6,7,4]=>[5,1,8,2,6,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[1,8,3,2,5,6,7,4]=>[8,3,1,2,5,6,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[2,8,3,1,5,6,7,4]=>[8,2,3,1,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[8,2,3,1,5,6,7,4]=>[5,2,3,1,8,6,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[2,1,8,3,5,6,7,4]=>[8,2,1,3,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[3,5,8,1,2,4,7,6]=>[8,1,3,2,5,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[4,5,8,1,2,3,7,6]=>[8,1,2,4,5,3,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[4,2,7,1,8,6,3,5]=>[4,7,2,8,1,6,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[2,4,3,7,1,8,5,6]=>[4,7,2,3,1,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[1,4,7,3,2,8,5,6]=>[4,7,1,8,3,2,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[2,4,1,8,6,3,7,5]=>[8,4,6,2,7,1,3,5]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[8,4,1,3,6,2,7,5]=>[8,4,1,3,6,7,2,5]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[7,3,6,5,8,2,1,4]=>[3,7,2,6,5,8,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[7,6,3,5,8,2,1,4]=>[3,2,7,6,5,8,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[3,5,2,8,6,1,7,4]=>[8,3,5,6,2,7,1,4]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[8,2,5,6,1,4,7,3]=>[5,2,1,6,8,4,7,3]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[2,6,1,8,3,7,5,4]=>[6,8,7,2,1,5,3,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[4,7,1,6,2,8,5,3]=>[7,4,6,8,1,5,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[6,1,5,3,8,7,2,4]=>[1,8,6,5,3,2,7,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[7,6,1,5,8,2,3,4]=>[1,2,7,3,6,5,8,4]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[3,6,8,5,1,2,7,4]=>[6,1,5,3,8,7,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[4,8,2,5,1,6,7,3]=>[4,5,2,8,1,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[3,4,8,5,2,6,7,1]=>[3,4,8,5,2,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[4,2,1,8,5,6,7,3]=>[4,8,2,5,1,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[5,4,8,3,7,6,1,2]=>[1,8,5,4,3,7,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[3,1,5,8,6,2,7,4]=>[8,3,5,6,1,7,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[7,6,1,2,8,3,5,4]=>[7,1,6,2,8,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[7,5,8,4,1,2,6,3]=>[5,1,7,4,8,6,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[7,5,8,4,6,1,3,2]=>[5,1,7,4,8,6,3,2]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[6,5,4,8,1,2,7,3]=>[6,1,5,4,8,2,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[7,5,1,6,2,3,8,4]=>[5,1,7,6,8,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[6,5,4,1,8,2,7,3]=>[6,5,4,8,1,7,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[6,5,3,1,8,4,2,7]=>[6,5,3,8,4,1,2,7]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[8,1,6,4,7,3,5,2]=>[8,1,4,6,3,7,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[7,5,1,4,8,3,6,2]=>[7,1,5,4,3,8,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[6,5,3,7,1,4,8,2]=>[3,6,5,7,1,4,8,2]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[6,4,3,1,5,8,7,2]=>[8,4,6,3,5,1,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[7,4,1,5,3,8,6,2]=>[7,4,8,5,3,1,6,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[8,1,5,4,3,7,2,6]=>[5,4,8,1,3,2,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[7,4,1,5,3,8,2,6]=>[4,5,7,3,1,2,8,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[8,1,5,4,3,2,6,7]=>[5,4,8,1,3,2,6,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[8,1,6,4,2,5,3,7]=>[1,8,6,4,5,2,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[6,5,3,1,2,7,4,8]=>[6,1,5,7,3,2,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[6,5,3,8,1,4,2,7]=>[3,6,5,1,8,4,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[7,6,8,1,4,3,2,5]=>[1,7,6,4,8,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[8,1,7,2,5,4,6,3]=>[8,1,7,2,5,4,6,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[7,6,1,2,5,4,8,3]=>[7,6,1,2,5,4,8,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[6,5,3,8,1,4,7,2]=>[3,6,5,4,1,8,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[7,5,1,4,2,6,8,3]=>[7,1,5,4,6,2,8,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[8,1,6,4,2,5,7,3]=>[6,1,8,4,5,2,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[7,4,1,5,3,6,2,8]=>[4,5,7,3,1,6,2,8]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[8,1,5,4,3,6,7,2]=>[5,8,1,4,3,6,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[7,4,1,5,3,6,8,2]=>[4,5,7,3,1,6,8,2]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[6,4,3,1,5,7,8,2]=>[4,6,3,5,1,7,8,2]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[4,7,5,6,1,8,2,3]=>[1,4,7,5,6,8,2,3]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[3,7,5,8,4,6,1,2]=>[1,5,7,3,4,8,6,2]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[4,5,3,8,6,7,1,2]=>[1,4,8,5,3,6,7,2]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[4,8,3,6,5,7,1,2]=>[1,4,8,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[5,6,1,7,3,8,2,4]=>[3,5,6,7,1,2,8,4]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[5,6,1,8,4,7,2,3]=>[1,5,6,8,2,4,7,3]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[4,5,1,8,6,7,2,3]=>[1,4,8,5,6,2,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[4,8,2,3,1,6,5,7]=>[2,8,4,3,6,1,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[5,6,2,8,1,4,3,7]=>[5,2,6,1,8,4,3,7]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[5,6,3,4,1,8,2,7]=>[3,5,6,4,1,8,2,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[3,6,4,5,2,7,1,8]=>[3,6,4,5,2,7,1,8]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[3,6,4,5,1,8,2,7]=>[3,6,4,5,1,8,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[2,6,4,8,1,5,3,7]=>[6,2,4,1,8,5,3,7]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[2,8,3,6,1,5,4,7]=>[2,8,3,6,1,5,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[2,8,3,4,1,6,5,7]=>[2,8,3,6,4,1,5,7]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[7,8,1,5,3,6,2,4]=>[1,7,3,5,8,2,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[1,8,3,6,2,7,4,5]=>[1,8,3,6,2,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[2,6,4,7,3,5,1,8]=>[4,6,2,3,7,5,1,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[2,7,3,6,4,5,1,8]=>[2,7,3,6,4,5,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[1,7,3,6,4,8,2,5]=>[1,7,6,3,4,2,8,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[1,7,5,8,4,6,2,3]=>[1,5,7,4,2,8,6,3]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[1,7,5,8,2,6,3,4]=>[1,5,7,8,2,3,6,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[1,7,5,6,3,8,2,4]=>[1,7,5,3,6,2,8,4]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[6,7,5,8,1,4,2,3]=>[1,6,2,7,5,8,4,3]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[5,8,6,7,2,3,1,4]=>[2,3,5,8,6,7,1,4]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[6,7,2,3,1,8,4,5]=>[2,6,3,7,8,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[3,4,2,7,5,6,1,8]=>[3,7,4,2,5,6,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[2,3,1,7,5,8,4,6]=>[5,7,2,3,1,4,8,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[2,3,1,8,4,7,5,6]=>[2,8,3,7,1,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[7,8,2,3,1,6,4,5]=>[2,7,3,1,8,6,4,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[3,7,2,5,4,6,1,8]=>[3,7,2,5,4,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[4,5,2,7,3,6,1,8]=>[4,5,2,7,3,6,1,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[4,5,1,8,2,7,3,6]=>[4,5,1,8,2,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[3,4,1,8,6,7,2,5]=>[3,4,8,1,6,2,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[3,8,2,5,1,6,4,7]=>[5,3,2,6,8,1,4,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[4,5,2,8,1,6,3,7]=>[4,5,2,8,1,6,3,7]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[4,5,3,6,1,8,2,7]=>[4,5,3,6,1,8,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[8,6,7,1,4,2,5,3]=>[6,1,4,8,7,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[8,6,3,7,5,1,2,4]=>[1,3,6,8,7,2,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[8,6,1,7,3,2,5,4]=>[6,3,8,7,5,1,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[7,6,2,8,3,5,1,4]=>[2,3,7,6,8,1,5,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[8,7,1,5,2,6,3,4]=>[1,8,2,5,7,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[8,5,2,3,1,7,6,4]=>[8,5,2,7,6,3,1,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[8,6,2,3,7,1,5,4]=>[6,2,3,8,7,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[8,6,2,7,3,1,5,4]=>[6,2,8,7,5,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[8,4,2,1,7,6,3,5]=>[4,8,2,7,6,1,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[8,5,2,7,1,6,3,4]=>[2,5,8,1,7,3,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[8,5,7,2,1,4,3,6]=>[5,2,4,8,7,1,3,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[5,8,7,3,1,4,6,2]=>[3,5,8,7,1,4,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[8,5,7,2,1,4,6,3]=>[5,2,8,1,7,4,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[8,5,2,7,1,3,6,4]=>[5,2,8,1,7,3,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[8,4,2,1,3,7,6,5]=>[8,7,2,4,6,1,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[8,4,3,1,2,7,6,5]=>[8,7,1,4,6,3,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[8,5,7,4,1,6,2,3]=>[1,5,4,8,7,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[6,1,5,8,4,2,7,3]=>[6,5,4,1,8,7,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[8,4,7,5,1,6,2,3]=>[1,4,8,5,7,6,2,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[8,4,7,5,1,2,6,3]=>[4,1,8,5,7,6,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[8,3,2,6,5,1,4,7]=>[3,2,8,6,1,5,4,7]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[8,3,2,7,1,5,4,6]=>[3,8,2,1,7,5,4,6]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[8,3,2,1,7,6,4,5]=>[3,8,7,2,6,1,4,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[8,7,3,1,4,2,6,5]=>[8,3,4,7,6,1,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[8,7,3,1,6,2,4,5]=>[3,1,2,8,7,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,7,3,1,2,4,6,5]=>[8,1,3,2,7,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,3,2,1,4,7,6,5]=>[8,7,3,2,6,1,4,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[8,3,2,1,7,4,6,5]=>[8,3,7,2,6,1,4,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[8,4,7,2,1,5,6,3]=>[4,8,2,1,7,5,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[3,8,7,4,1,2,5,6]=>[1,3,4,8,7,2,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[8,7,2,1,6,3,4,5]=>[2,1,8,3,7,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,7,2,1,3,4,6,5]=>[8,2,1,3,7,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[3,8,5,6,7,4,1,2]=>[1,5,3,8,6,7,4,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[2,5,7,8,6,3,4,1]=>[2,7,5,3,8,6,4,1]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[4,6,3,2,1,5,8,7]=>[8,4,3,6,2,1,5,7]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[3,7,4,2,8,1,5,6]=>[3,4,7,2,1,5,8,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[6,4,2,7,3,8,5,1]=>[6,7,4,8,2,3,5,1]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[2,1,4,7,6,3,8,5]=>[7,6,4,2,1,8,3,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[6,4,7,8,5,3,2,1]=>[6,7,4,8,5,3,2,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[4,1,3,7,6,2,8,5]=>[7,6,4,1,3,8,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[8,5,1,6,3,2,7,4]=>[5,6,8,7,3,1,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[6,3,7,1,5,2,8,4]=>[6,3,7,5,1,8,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[3,2,6,8,4,7,5,1]=>[6,8,3,2,4,7,5,1]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[8,4,6,1,3,2,5,7]=>[4,1,3,6,8,2,5,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[4,7,5,8,1,6,3,2]=>[4,7,5,8,6,1,3,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[2,4,8,5,7,1,3,6]=>[2,1,4,8,5,3,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[3,7,1,4,6,8,5,2]=>[7,3,4,1,6,8,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[8,5,7,1,6,3,2,4]=>[1,5,8,7,3,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[3,4,8,6,5,2,1,7]=>[6,8,3,4,5,2,1,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[6,5,8,2,1,7,3,4]=>[2,6,5,8,1,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[7,4,3,5,1,6,8,2]=>[4,3,7,5,6,1,8,2]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[4,1,6,3,5,8,7,2]=>[8,4,6,1,3,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[8,6,7,1,5,4,3,2]=>[6,8,7,1,5,4,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[4,1,8,5,6,2,3,7]=>[1,4,5,8,2,6,3,7]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[6,2,8,4,3,5,1,7]=>[4,6,2,8,3,5,1,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[4,8,2,7,6,1,3,5]=>[2,4,8,1,3,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[3,8,1,2,6,7,4,5]=>[1,6,3,2,4,8,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[5,8,4,3,2,7,1,6]=>[5,4,3,8,2,1,7,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[5,8,4,7,2,1,3,6]=>[2,5,4,1,8,7,3,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[2,1,8,4,3,7,5,6]=>[4,8,2,7,1,3,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[5,8,2,4,3,1,6,7]=>[5,2,4,3,8,1,6,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[2,8,3,1,6,4,5,7]=>[2,3,8,6,1,4,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[8,2,1,3,4,7,5,6]=>[2,8,1,3,4,7,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[1,2,3,8,4,5,7,6]=>[8,1,2,7,3,4,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[1,2,8,3,4,5,7,6]=>[8,1,2,3,7,4,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[1,3,8,2,6,4,5,7]=>[3,1,8,2,4,6,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[1,7,2,3,5,4,8,6]=>[7,8,1,2,5,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[1,3,8,2,4,5,7,6]=>[8,3,1,2,4,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[1,8,2,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[1,6,7,8,2,3,5,4]=>[6,1,2,7,3,8,5,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[1,7,8,2,5,3,6,4]=>[7,1,8,2,5,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[1,7,8,2,4,5,3,6]=>[1,7,2,4,5,8,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[1,8,2,3,6,4,5,7]=>[1,2,8,3,6,4,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[1,2,8,3,5,4,6,7]=>[1,5,8,2,3,4,6,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[1,5,2,7,8,3,6,4]=>[5,7,1,8,2,3,6,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[1,3,2,8,4,6,7,5]=>[8,3,1,6,2,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[1,8,2,3,4,6,7,5]=>[8,1,2,3,4,6,7,5]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[1,7,8,2,4,3,6,5]=>[7,1,8,2,6,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[6,7,5,4,1,2,8,3]=>[6,1,7,5,4,8,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[5,8,6,4,1,7,2,3]=>[1,5,8,6,4,7,2,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[5,7,6,4,1,8,2,3]=>[1,7,5,6,4,8,2,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[5,6,7,4,1,8,2,3]=>[1,5,6,7,4,8,2,3]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[6,4,7,5,1,2,8,3]=>[6,1,7,4,5,8,2,3]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[6,2,1,7,5,3,8,4]=>[6,7,5,8,2,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[6,3,8,1,5,2,7,4]=>[6,3,8,1,5,7,2,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[5,6,8,4,1,7,2,3]=>[1,5,6,4,8,7,2,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[4,5,8,6,7,1,2,3]=>[1,2,4,8,5,6,7,3]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[5,4,8,6,1,7,2,3]=>[1,5,8,4,6,7,2,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[5,3,8,1,6,7,2,4]=>[3,5,1,6,2,8,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[4,5,7,6,8,1,2,3]=>[1,2,7,4,5,6,8,3]=>[[1,2,3,5,6,8],[4],[7]]=>[4,3,1]
[4,6,7,5,8,1,2,3]=>[1,2,6,4,7,5,8,3]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[4,8,5,6,7,1,2,3]=>[1,2,4,5,8,6,7,3]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[4,7,5,6,8,1,2,3]=>[1,2,4,7,5,6,8,3]=>[[1,2,3,5,6,8],[4],[7]]=>[4,3,1]
[4,6,5,7,8,1,2,3]=>[1,2,6,4,5,7,8,3]=>[[1,2,3,5,7,8],[4],[6]]=>[4,2,2]
[5,7,4,6,1,8,2,3]=>[1,5,4,7,6,8,2,3]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[5,7,3,1,6,8,2,4]=>[3,5,1,7,6,2,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[5,6,3,1,7,8,2,4]=>[3,5,6,1,7,2,8,4]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[6,2,1,4,3,8,7,5]=>[8,6,7,2,4,1,3,5]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[4,5,6,8,7,1,2,3]=>[1,2,8,4,5,6,7,3]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[4,7,5,8,6,1,2,3]=>[1,2,7,8,4,5,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[4,8,6,7,5,1,2,3]=>[1,2,8,4,6,7,5,3]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[4,6,7,8,5,1,2,3]=>[1,2,6,4,7,8,5,3]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[5,3,7,1,8,6,2,4]=>[3,7,5,1,8,6,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[5,2,1,7,8,6,3,4]=>[2,7,5,8,1,3,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[5,4,8,7,1,6,2,3]=>[1,5,8,4,7,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[4,6,8,7,5,1,2,3]=>[1,2,8,6,4,7,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[2,4,6,3,7,5,1,8]=>[6,4,2,7,3,5,1,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[4,2,7,3,6,5,1,8]=>[7,4,2,6,3,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[4,2,6,3,1,5,8,7]=>[8,4,2,6,3,1,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[2,5,3,1,6,4,8,7]=>[8,5,6,2,3,1,4,7]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[2,5,3,7,6,4,1,8]=>[7,5,6,2,3,4,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[2,6,5,3,7,4,1,8]=>[6,5,7,2,3,4,1,8]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[4,2,7,6,3,5,1,8]=>[4,7,2,6,3,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[2,7,5,3,6,4,1,8]=>[5,7,6,2,3,4,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[1,7,5,2,3,8,4,6]=>[1,7,5,2,8,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[2,1,3,7,5,4,8,6]=>[7,8,5,2,1,3,4,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[2,3,1,8,6,5,4,7]=>[6,8,5,2,3,1,4,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[2,5,3,1,8,6,4,7]=>[5,8,6,2,3,1,4,7]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[4,2,8,3,1,6,5,7]=>[4,8,2,6,3,1,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[3,6,8,2,1,4,5,7]=>[3,2,1,6,4,8,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[1,5,2,8,3,4,7,6]=>[8,1,5,2,7,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[1,2,6,3,8,7,4,5]=>[1,8,6,7,2,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,2,8,3,6,4,7,5]=>[8,1,6,7,2,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,2,7,6,3,4,8,5]=>[7,1,6,8,2,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[1,2,3,8,6,4,7,5]=>[6,8,7,1,2,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,2,3,7,4,8,6,5]=>[7,8,6,1,2,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[1,2,7,6,3,8,4,5]=>[1,7,6,8,2,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[1,2,3,6,4,8,7,5]=>[8,6,7,1,2,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,2,3,7,6,4,8,5]=>[7,6,8,1,2,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[2,6,3,1,8,5,4,7]=>[6,5,8,2,3,1,4,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[2,1,3,8,5,4,7,6]=>[8,5,7,2,1,3,4,6]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[7,1,8,4,2,3,5,6]=>[1,4,2,7,8,3,5,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[2,1,8,4,3,5,7,6]=>[8,4,2,7,1,3,5,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[4,2,6,3,1,8,5,7]=>[6,4,2,8,3,1,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[5,4,2,8,3,1,6,7]=>[5,4,2,3,8,1,6,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[3,5,8,2,4,1,6,7]=>[3,2,5,4,1,8,6,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[2,5,4,8,3,1,6,7]=>[5,4,2,3,1,8,6,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[4,2,1,8,3,5,7,6]=>[8,4,2,1,7,3,5,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[1,8,7,4,2,3,5,6]=>[1,4,2,8,7,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[1,5,2,8,7,3,4,6]=>[1,5,8,2,7,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[1,2,7,3,6,4,8,5]=>[7,6,1,8,2,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[1,2,8,6,3,7,4,5]=>[1,6,8,7,2,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,2,7,3,8,6,4,5]=>[1,7,8,6,2,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[1,2,3,8,4,7,6,5]=>[8,7,1,6,2,3,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[1,2,7,3,4,8,6,5]=>[7,8,1,6,2,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[1,2,6,3,8,4,7,5]=>[6,8,1,7,2,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,5,2,3,8,7,4,6]=>[5,8,1,2,7,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[4,2,1,8,3,7,5,6]=>[4,8,2,1,7,3,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[8,3,2,1,7,4,5,6]=>[3,2,8,1,7,4,5,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[1,8,4,2,7,3,5,6]=>[4,1,2,8,7,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[1,2,8,6,3,4,7,5]=>[6,1,8,7,2,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,2,7,3,8,4,6,5]=>[7,1,8,6,2,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[1,2,3,8,7,4,6,5]=>[8,1,7,6,2,3,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[1,2,3,8,7,6,4,5]=>[1,8,7,6,2,3,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[2,6,5,7,1,4,3,8]=>[6,2,5,1,7,4,3,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[3,8,5,7,1,2,6,4]=>[5,1,3,8,7,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[3,8,5,7,2,6,4,1]=>[5,3,8,7,2,6,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[3,4,8,6,2,5,7,1]=>[3,4,8,2,6,5,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[2,4,3,8,1,6,5,7]=>[4,8,2,3,1,6,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[2,8,1,7,5,6,4,3]=>[8,5,2,7,1,6,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[2,3,8,1,6,5,7,4]=>[8,2,6,3,1,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[2,4,8,1,3,5,7,6]=>[8,2,1,4,3,5,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[3,8,5,7,1,6,4,2]=>[5,3,8,7,6,1,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[3,2,8,5,6,1,7,4]=>[8,3,2,5,6,7,1,4]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[4,8,6,7,2,1,3,5]=>[2,4,1,8,6,7,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[4,3,2,8,5,1,7,6]=>[8,4,7,3,2,5,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[4,3,8,5,1,6,7,2]=>[4,3,8,5,6,1,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[4,8,6,7,1,5,3,2]=>[4,8,6,1,7,5,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[5,8,6,7,2,3,4,1]=>[2,3,5,8,6,7,4,1]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[4,2,8,5,1,7,6,3]=>[8,4,7,5,2,6,1,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[3,4,2,8,5,6,1,7]=>[3,4,8,2,5,6,1,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[3,2,4,8,6,1,5,7]=>[3,2,8,4,1,6,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[3,2,5,7,6,1,4,8]=>[3,7,2,1,5,6,4,8]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[4,8,6,7,1,2,5,3]=>[4,1,8,2,6,7,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[4,3,8,5,2,6,7,1]=>[4,3,8,5,2,6,7,1]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[4,2,6,7,5,1,3,8]=>[2,6,4,1,7,5,3,8]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[3,8,5,7,1,4,2,6]=>[3,1,8,5,4,7,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[4,1,3,8,5,2,6,7]=>[4,1,8,3,5,2,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[4,8,6,7,3,2,5,1]=>[4,3,8,6,7,2,5,1]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[3,1,5,7,6,2,4,8]=>[3,7,1,5,2,6,4,8]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[3,4,1,7,5,6,2,8]=>[3,7,4,5,1,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[4,1,6,7,5,2,3,8]=>[1,6,4,7,2,5,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[5,8,6,7,4,2,3,1]=>[2,5,8,6,7,4,3,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[5,8,6,7,4,1,2,3]=>[1,2,5,8,6,7,4,3]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[4,8,6,7,3,1,5,2]=>[4,3,8,6,7,5,1,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[4,1,6,7,5,3,8,2]=>[6,4,7,5,1,3,8,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[4,2,8,5,3,1,7,6]=>[8,4,7,5,2,3,1,6]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[4,8,6,7,3,2,1,5]=>[4,3,8,6,7,2,1,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[5,8,6,7,4,2,1,3]=>[2,5,8,6,7,4,1,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[7,3,5,8,1,4,2,6]=>[3,1,7,5,4,8,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[3,8,7,6,1,4,2,5]=>[3,1,8,7,6,4,2,5]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[1,4,7,8,5,6,2,3]=>[1,7,2,4,5,8,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[3,6,1,4,7,8,5,2]=>[6,3,7,1,4,8,5,2]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[1,6,8,4,7,5,2,3]=>[1,6,8,4,2,7,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[6,8,1,3,5,7,2,4]=>[3,1,2,6,5,8,7,4]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[7,6,1,4,3,8,2,5]=>[1,7,6,4,3,2,8,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[6,1,7,3,8,4,2,5]=>[3,6,7,8,1,4,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[7,1,8,6,3,5,2,4]=>[1,7,3,8,6,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[8,4,2,6,7,5,3,1]=>[8,4,6,2,7,5,3,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[6,1,3,2,7,8,4,5]=>[1,6,7,3,2,4,8,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[8,7,3,6,4,5,2,1]=>[3,8,4,7,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[5,7,8,6,2,1,4,3]=>[7,2,5,8,6,4,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[2,7,4,1,6,8,3,5]=>[2,7,4,1,6,3,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[3,4,1,7,5,2,6,8]=>[3,7,4,5,1,2,6,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[7,5,8,6,1,2,4,3]=>[7,1,2,8,5,6,4,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[2,5,4,3,6,8,1,7]=>[5,4,2,3,6,1,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[4,8,2,1,3,7,5,6]=>[2,8,4,1,3,7,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[5,4,8,2,7,6,1,3]=>[2,8,5,4,1,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[5,8,2,6,3,4,1,7]=>[2,5,3,8,6,4,1,7]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[8,2,7,5,4,3,6,1]=>[5,8,7,2,4,3,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[3,8,4,5,6,1,2,7]=>[1,3,4,5,8,6,2,7]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[1,4,3,5,7,8,2,6]=>[4,3,1,5,2,7,8,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[1,5,2,7,4,3,8,6]=>[7,5,8,4,1,2,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[2,8,5,6,4,3,1,7]=>[5,8,2,6,4,3,1,7]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[1,8,6,5,4,3,2,7]=>[6,8,5,4,3,1,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[6,1,5,2,8,4,7,3]=>[6,5,8,1,2,4,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[1,4,7,2,8,5,6,3]=>[4,7,8,1,2,5,6,3]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[3,4,6,5,8,1,7,2]=>[6,3,4,5,8,1,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[6,8,1,5,7,2,3,4]=>[1,2,6,3,5,8,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[7,1,2,5,8,6,3,4]=>[1,7,8,2,3,5,6,4]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[1,7,2,5,8,6,3,4]=>[1,7,8,2,5,3,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[7,6,8,1,2,3,5,4]=>[7,1,2,3,6,8,5,4]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[2,4,7,1,8,5,6,3]=>[7,2,4,8,1,5,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[7,4,2,1,6,8,5,3]=>[7,4,6,8,2,1,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[6,7,4,1,8,5,3,2]=>[6,7,8,4,5,3,1,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[6,7,4,3,1,8,5,2]=>[6,7,8,4,3,5,1,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[2,7,4,1,6,8,5,3]=>[7,6,2,4,8,1,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[2,3,7,6,8,1,5,4]=>[7,2,6,3,1,8,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[7,4,2,6,8,5,1,3]=>[2,7,4,6,1,8,5,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[7,3,2,5,8,6,1,4]=>[3,7,2,8,1,5,6,4]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[3,7,6,8,1,2,5,4]=>[7,1,3,6,2,8,5,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[7,4,1,2,6,8,5,3]=>[7,4,1,6,8,2,5,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[7,1,4,2,8,5,6,3]=>[7,1,8,4,5,2,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[7,1,8,2,5,4,6,3]=>[7,1,5,8,4,2,6,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[7,3,8,4,6,1,5,2]=>[3,4,7,8,6,1,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[7,2,8,1,6,4,5,3]=>[7,2,8,1,4,6,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[7,1,6,8,5,4,2,3]=>[1,7,6,8,2,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[7,1,2,6,8,5,4,3]=>[7,6,8,1,2,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[1,7,2,6,8,5,4,3]=>[7,6,8,1,5,2,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[7,2,5,8,6,3,1,4]=>[2,7,8,3,5,6,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[3,6,7,1,8,5,4,2]=>[6,7,3,8,5,4,1,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[7,2,6,8,5,4,1,3]=>[2,7,6,1,8,5,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[6,7,3,1,8,5,4,2]=>[6,7,8,5,3,4,1,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[6,7,1,8,5,4,3,2]=>[6,7,8,5,4,3,1,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[7,2,1,6,8,5,4,3]=>[7,6,8,2,5,1,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[7,6,8,3,2,1,5,4]=>[7,3,6,8,5,2,1,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[4,7,8,5,6,1,3,2]=>[4,1,7,5,8,6,3,2]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[8,1,5,6,7,2,4,3]=>[5,1,6,2,8,7,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[6,4,5,1,8,2,7,3]=>[4,6,5,8,1,7,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[5,4,6,7,1,2,8,3]=>[5,1,4,6,7,8,2,3]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[4,3,6,7,2,1,5,8]=>[4,3,2,6,7,1,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[5,3,6,7,1,4,2,8]=>[3,5,6,1,7,4,2,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[8,1,4,6,7,3,2,5]=>[4,1,6,3,8,7,2,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[5,2,6,7,1,4,8,3]=>[5,2,6,1,7,4,8,3]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[4,2,6,7,3,1,8,5]=>[6,4,7,2,8,3,1,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[7,2,1,5,4,8,6,3]=>[7,8,5,2,4,1,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[6,3,4,1,5,8,2,7]=>[3,4,6,5,1,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[8,1,7,2,4,5,6,3]=>[4,1,2,8,5,7,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[7,6,1,2,4,5,8,3]=>[4,1,2,7,6,5,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[4,7,8,2,3,1,6,5]=>[7,2,4,3,8,6,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[5,6,2,8,1,4,7,3]=>[5,2,6,4,1,8,7,3]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[8,1,6,3,2,5,7,4]=>[6,1,8,5,3,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[7,4,1,3,5,2,8,6]=>[7,4,1,8,3,5,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[7,3,1,4,5,6,2,8]=>[3,4,1,7,5,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[8,1,4,3,5,6,2,7]=>[4,1,3,8,5,6,2,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[7,8,4,2,1,6,5,3]=>[7,4,8,6,5,2,1,3]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[7,8,4,2,1,5,6,3]=>[4,7,2,8,5,1,6,3]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[6,2,3,4,7,8,1,5]=>[2,3,4,6,1,7,8,5]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[7,8,3,4,6,2,1,5]=>[3,4,2,7,8,6,1,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[7,8,3,6,4,2,1,5]=>[3,7,4,8,6,2,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[7,8,3,5,6,2,1,4]=>[3,2,5,7,8,6,1,4]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[6,2,3,8,7,5,1,4]=>[2,8,6,3,7,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[5,2,6,3,8,1,7,4]=>[5,6,8,2,3,1,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[6,3,2,5,8,7,1,4]=>[3,8,2,6,1,5,7,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[6,4,3,7,8,5,1,2]=>[1,6,7,4,3,8,5,2]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[6,2,4,1,7,3,5,8]=>[2,6,4,1,7,3,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[6,3,2,7,4,8,1,5]=>[3,6,7,2,4,1,8,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[6,3,2,5,7,8,1,4]=>[3,2,6,1,5,7,8,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[5,7,2,3,6,1,8,4]=>[5,2,7,3,6,8,1,4]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[5,8,2,3,6,1,7,4]=>[5,2,6,3,8,7,1,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[4,7,5,8,3,2,1,6]=>[4,7,5,3,8,2,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[4,5,6,8,3,2,1,7]=>[4,5,6,3,8,2,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[5,6,1,4,2,3,7,8]=>[1,5,2,6,4,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[5,6,8,4,3,7,1,2]=>[1,5,6,4,8,3,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[5,6,1,4,2,3,8,7]=>[8,1,5,2,6,4,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[5,2,8,3,4,1,7,6]=>[8,2,5,3,7,4,1,6]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[4,5,8,6,3,2,1,7]=>[4,8,5,6,3,2,1,7]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[4,6,5,8,3,2,1,7]=>[6,4,5,3,8,2,1,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[5,1,4,3,6,2,8,7]=>[8,5,4,1,3,6,2,7]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[5,1,4,3,7,2,8,6]=>[7,5,4,1,3,8,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[5,1,4,3,8,2,7,6]=>[8,5,4,1,3,2,7,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[5,6,2,4,1,7,8,3]=>[5,2,6,4,7,1,8,3]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[5,7,2,4,1,8,6,3]=>[7,5,2,8,4,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[6,1,4,2,7,8,5,3]=>[6,7,4,1,8,2,5,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[5,2,7,4,1,6,8,3]=>[5,7,2,4,6,1,8,3]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[5,8,6,4,3,7,1,2]=>[1,5,8,6,4,3,7,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[5,8,1,4,2,3,7,6]=>[8,1,5,2,4,7,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[5,1,6,3,4,2,7,8]=>[5,1,6,3,4,2,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[5,4,7,8,3,2,1,6]=>[5,4,3,7,8,2,1,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[5,4,8,7,3,2,1,6]=>[5,8,4,3,7,2,1,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[4,7,6,8,3,2,1,5]=>[4,7,3,6,8,2,1,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[5,7,1,3,4,2,6,8]=>[3,1,5,4,7,2,6,8]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[5,1,8,4,2,3,6,7]=>[1,5,4,2,8,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[5,8,1,3,4,2,6,7]=>[3,1,5,4,2,8,6,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[4,8,7,6,3,2,1,5]=>[4,8,7,3,6,2,1,5]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[4,8,2,6,3,7,5,1]=>[8,4,2,6,7,3,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[4,8,3,1,6,7,5,2]=>[8,4,3,6,1,7,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[4,3,8,1,6,2,5,7]=>[4,3,1,2,8,6,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[1,4,8,7,3,5,2,6]=>[4,3,8,1,5,7,2,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[5,8,4,3,7,1,6,2]=>[5,4,3,8,7,1,6,2]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,3]
[5,8,1,4,7,2,6,3]=>[5,4,1,8,2,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[5,8,1,7,4,2,3,6]=>[1,5,2,8,7,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[6,8,1,2,4,3,5,7]=>[1,6,2,4,3,8,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[5,8,4,7,3,1,2,6]=>[1,5,4,3,8,7,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[1,4,8,3,7,5,6,2]=>[4,8,3,1,5,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[1,4,3,8,2,6,5,7]=>[4,8,3,1,2,6,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[4,1,3,8,2,6,5,7]=>[4,8,1,3,2,6,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[4,1,8,3,7,5,6,2]=>[4,8,3,1,7,5,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[7,3,8,1,5,4,6,2]=>[3,7,8,1,5,4,6,2]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[3,4,8,1,6,2,5,7]=>[3,4,1,2,8,6,5,7]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[1,2,4,8,3,6,5,7]=>[4,8,1,2,3,6,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[1,2,4,3,8,6,5,7]=>[6,8,4,1,2,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[3,6,7,8,4,1,2,5]=>[1,3,6,4,7,8,2,5]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[4,1,7,8,5,3,2,6]=>[4,7,5,8,1,3,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[4,2,3,1,8,6,5,7]=>[6,8,2,4,3,1,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[4,7,1,8,5,2,3,6]=>[1,4,7,5,8,2,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[2,6,8,7,4,3,1,5]=>[2,8,6,7,4,3,1,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[3,7,8,6,2,4,1,5]=>[3,2,7,4,8,6,1,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[3,7,8,2,6,4,5,1]=>[3,7,2,4,8,6,5,1]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[4,2,3,8,1,6,5,7]=>[2,8,4,3,1,6,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[1,4,7,8,5,3,2,6]=>[4,7,1,8,5,3,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[2,4,8,6,3,1,5,7]=>[4,2,8,3,6,1,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[1,7,3,8,4,6,5,2]=>[7,8,1,6,3,4,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[1,3,4,8,2,6,5,7]=>[3,8,1,4,2,6,5,7]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[7,3,8,6,2,4,1,5]=>[3,2,7,8,4,6,1,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[7,4,1,8,5,2,6,3]=>[4,7,8,5,6,1,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[7,3,2,8,4,6,5,1]=>[7,3,8,6,2,4,5,1]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[2,4,3,1,8,6,5,7]=>[6,8,4,2,3,1,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[1,3,4,2,8,6,5,7]=>[6,8,3,1,4,2,5,7]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[1,3,2,4,8,6,5,7]=>[6,8,3,1,2,4,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[7,3,4,8,5,1,6,2]=>[3,7,4,8,5,6,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[2,3,1,4,8,6,5,7]=>[6,8,2,3,1,4,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[1,2,3,4,8,6,5,7]=>[6,8,1,2,3,4,5,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[4,8,3,6,2,1,5,7]=>[4,3,2,6,8,1,5,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[3,5,8,2,6,1,4,7]=>[3,2,5,1,6,8,4,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[3,6,5,8,2,4,1,7]=>[3,6,2,5,4,8,1,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[5,3,8,7,2,4,6,1]=>[3,5,8,2,4,7,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[6,2,4,5,8,3,1,7]=>[4,2,6,5,3,8,1,7]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[4,8,1,2,5,6,3,7]=>[4,1,5,2,6,8,3,7]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[8,1,3,5,2,6,4,7]=>[5,3,1,6,8,2,4,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[5,2,1,6,3,8,4,7]=>[5,6,2,8,1,3,4,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[6,2,5,1,8,4,3,7]=>[6,5,2,4,8,1,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[3,6,1,5,8,4,2,7]=>[6,3,5,1,4,8,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[6,1,4,5,8,3,2,7]=>[4,6,1,5,3,8,2,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[5,6,4,8,1,3,2,7]=>[5,1,6,4,3,8,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[6,5,4,3,8,2,1,7]=>[6,5,4,3,2,8,1,7]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[5,4,3,7,2,8,1,6]=>[5,4,3,2,7,1,8,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[5,8,4,3,7,2,6,1]=>[5,4,3,8,2,7,6,1]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[4,6,8,3,7,2,5,1]=>[4,3,6,2,8,7,5,1]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[7,4,6,3,2,8,1,5]=>[4,3,7,6,2,1,8,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[1,4,3,6,2,7,8,5]=>[6,4,3,1,7,2,8,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[1,5,4,3,7,2,8,6]=>[7,5,4,3,1,8,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[4,7,8,5,3,1,2,6]=>[1,4,7,5,8,3,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[5,7,3,4,1,2,8,6]=>[7,1,3,5,8,4,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,5,4,7,6,2,1,3]=>[2,8,5,7,4,6,1,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[8,5,7,4,3,6,1,2]=>[1,5,4,8,7,3,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[4,7,8,3,6,1,5,2]=>[4,3,7,1,8,6,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[5,3,8,6,7,4,1,2]=>[1,5,8,6,3,7,4,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[1,3,8,6,4,7,5,2]=>[6,8,7,3,1,4,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[8,6,2,7,4,1,5,3]=>[6,2,8,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[7,6,2,1,4,3,8,5]=>[7,6,2,8,4,1,3,5]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[7,6,1,3,4,2,8,5]=>[7,3,1,6,8,4,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[1,5,7,3,2,6,8,4]=>[5,7,1,6,3,2,8,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[1,6,7,3,2,5,8,4]=>[6,1,7,5,3,2,8,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[3,2,6,8,5,7,4,1]=>[6,5,3,2,8,7,4,1]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[7,5,2,3,1,6,8,4]=>[5,2,7,6,3,1,8,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[3,1,7,5,2,8,4,6]=>[5,7,3,1,8,2,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[2,5,7,4,1,8,3,6]=>[5,2,7,4,1,8,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[4,2,6,1,7,8,3,5]=>[4,2,6,1,7,3,8,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[4,2,7,6,3,8,1,5]=>[4,7,2,6,3,1,8,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[6,4,8,7,2,3,5,1]=>[2,4,8,6,3,7,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[3,2,6,8,7,4,5,1]=>[3,8,6,2,4,7,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[6,3,2,1,7,8,4,5]=>[3,6,7,2,1,4,8,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[3,7,1,8,4,2,5,6]=>[3,4,7,1,8,2,5,6]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,1]
[4,2,1,3,7,5,8,6]=>[7,8,2,4,1,3,5,6]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[8,1,3,7,4,2,6,5]=>[8,3,7,1,4,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[8,4,3,7,6,2,1,5]=>[4,8,3,7,2,6,1,5]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[8,3,5,2,7,6,1,4]=>[3,8,2,5,7,1,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[3,6,2,8,7,1,5,4]=>[8,3,6,2,7,1,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[7,3,2,8,1,6,5,4]=>[7,8,3,6,2,1,5,4]=>[[1,4],[2,5],[3,6],[7,8]]=>[3,4,1]
[3,8,7,2,6,5,4,1]=>[8,7,3,6,2,5,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[4,2,7,8,6,1,5,3]=>[4,7,8,2,1,6,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[6,8,2,4,7,1,5,3]=>[4,2,6,8,1,7,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[8,2,1,6,3,7,5,4]=>[8,6,2,7,5,1,3,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[6,8,3,1,7,5,2,4]=>[3,6,8,1,7,5,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[6,2,8,1,5,7,4,3]=>[6,5,2,8,1,7,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>[2,4,2]
[5,7,8,2,6,1,4,3]=>[5,2,7,1,8,6,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[8,7,2,5,6,4,3,1]=>[5,8,2,7,6,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[8,6,7,5,2,4,3,1]=>[6,2,8,7,5,4,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[7,2,6,8,1,5,4,3]=>[7,6,2,1,8,5,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[1,2,7,8,5,6,4,3]=>[7,5,1,8,2,6,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[7,4,8,1,6,2,5,3]=>[4,7,1,8,6,2,5,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[3,7,1,8,2,6,5,4]=>[7,8,3,1,6,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[2,1,7,3,8,6,5,4]=>[7,8,6,5,2,1,3,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[8,2,1,7,6,5,4,3]=>[8,7,6,5,2,4,1,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[8,1,4,7,6,5,3,2]=>[8,7,4,6,1,5,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[8,6,7,5,1,4,3,2]=>[6,8,1,7,5,4,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[7,8,6,5,4,1,3,2]=>[7,1,8,6,5,4,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[5,8,4,3,2,1,6,7]=>[5,4,3,8,2,1,6,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[6,4,7,3,2,1,8,5]=>[6,7,4,8,3,2,1,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[6,5,3,7,2,1,4,8]=>[3,6,5,2,7,1,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[5,8,3,6,2,1,4,7]=>[3,5,2,6,8,1,4,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[6,3,7,8,2,1,4,5]=>[3,2,6,1,7,8,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[3,8,7,6,2,1,4,5]=>[3,2,8,7,1,6,4,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[5,8,4,2,6,1,3,7]=>[2,5,4,1,8,6,3,7]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[4,8,7,2,5,1,3,6]=>[2,4,1,8,5,7,3,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[5,8,3,2,6,1,4,7]=>[3,5,2,1,8,6,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[4,8,3,2,5,1,7,6]=>[8,4,3,2,7,5,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[4,3,7,2,5,1,8,6]=>[7,4,3,2,8,5,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[3,8,7,2,5,1,4,6]=>[3,2,1,8,5,7,4,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[3,8,2,6,5,1,4,7]=>[3,2,8,1,6,5,4,7]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[6,2,7,8,5,1,3,4]=>[2,1,6,7,3,8,5,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[5,2,7,6,8,1,3,4]=>[2,1,7,5,3,6,8,4]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[2,8,7,6,5,1,3,4]=>[2,1,8,7,6,3,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[6,5,4,3,1,7,8,2]=>[6,5,4,3,7,1,8,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[6,4,7,3,1,5,8,2]=>[4,6,3,7,5,1,8,2]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[5,4,3,6,1,8,7,2]=>[8,5,4,3,6,7,1,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[6,3,7,8,1,4,5,2]=>[3,6,1,4,7,8,5,2]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[5,3,7,6,1,4,8,2]=>[3,7,5,6,1,4,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[4,8,7,2,1,5,3,6]=>[4,2,8,7,5,1,3,6]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[5,8,3,2,1,4,7,6]=>[8,3,5,2,7,1,4,6]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[5,3,7,2,1,4,8,6]=>[7,3,5,2,8,1,4,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[3,8,7,2,1,4,5,6]=>[3,2,1,8,4,7,5,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[6,5,2,7,1,4,3,8]=>[6,2,5,7,1,4,3,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[4,3,2,6,1,5,8,7]=>[8,4,3,2,1,6,5,7]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[6,2,7,8,1,4,3,5]=>[2,6,1,7,4,8,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[3,2,7,6,1,4,5,8]=>[3,2,7,1,4,6,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[6,4,7,1,5,8,3,2]=>[4,6,7,5,1,8,3,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[5,4,7,1,6,8,3,2]=>[5,4,7,6,1,8,3,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[4,8,7,1,5,6,3,2]=>[4,8,5,1,7,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[4,8,3,1,5,6,7,2]=>[4,3,5,1,8,6,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[5,8,2,1,6,4,3,7]=>[5,6,8,2,4,1,3,7]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[6,3,2,1,5,4,8,7]=>[8,6,3,5,2,1,4,7]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[5,3,2,1,6,4,8,7]=>[8,5,6,3,2,1,4,7]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[3,8,2,1,5,4,6,7]=>[3,2,8,5,1,4,6,7]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[4,2,7,1,5,6,3,8]=>[4,5,2,1,7,6,3,8]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[3,2,7,1,5,4,6,8]=>[3,7,2,1,5,4,6,8]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[2,8,7,1,5,4,3,6]=>[2,8,7,5,1,4,3,6]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[6,5,1,7,8,4,3,2]=>[6,5,7,8,4,1,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[5,8,1,6,7,4,3,2]=>[5,6,8,7,1,4,3,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[6,4,1,7,5,8,3,2]=>[6,7,4,5,8,1,3,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[5,4,1,6,7,8,3,2]=>[5,4,6,7,1,8,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[4,8,1,6,5,7,3,2]=>[4,8,6,5,1,7,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[5,3,1,6,7,4,8,2]=>[5,6,3,7,1,4,8,2]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[3,8,1,6,5,4,7,2]=>[6,8,3,5,1,4,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[4,1,7,6,5,8,3,2]=>[7,6,4,5,8,1,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[3,6,8,1,7,2,4,5]=>[3,1,2,6,8,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[3,4,5,6,8,1,7,2]=>[3,4,5,6,8,1,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[4,5,8,2,6,7,1,3]=>[2,4,5,1,6,8,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[8,1,2,3,5,4,6,7]=>[1,2,8,3,5,4,6,7]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[2,7,8,3,5,6,1,4]=>[2,3,1,7,5,8,6,4]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[4,5,8,1,7,6,3,2]=>[8,4,5,7,6,1,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[4,5,8,7,2,1,6,3]=>[4,8,5,7,2,6,1,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[8,7,3,5,6,2,1,4]=>[3,2,5,8,7,6,1,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[8,7,2,1,3,5,4,6]=>[2,8,1,5,7,3,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,6,4,1,7,5,3,2]=>[6,8,7,4,5,3,1,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[2,3,6,7,8,1,5,4]=>[6,2,3,1,7,8,5,4]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[7,4,1,8,5,2,3,6]=>[1,4,7,8,5,2,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[7,1,8,2,5,3,6,4]=>[7,1,5,8,6,2,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[8,1,7,5,4,2,3,6]=>[1,5,8,7,2,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[1,7,2,6,5,4,3,8]=>[7,6,5,1,4,2,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[8,1,7,6,3,2,4,5]=>[1,3,8,7,6,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[3,6,8,1,7,5,4,2]=>[6,8,3,7,5,1,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[8,2,6,7,5,4,1,3]=>[2,6,8,1,7,5,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[2,7,8,6,3,1,5,4]=>[7,2,8,6,3,5,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[2,7,8,1,6,5,4,3]=>[7,8,6,2,1,5,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[7,3,1,8,6,5,4,2]=>[7,8,6,5,3,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[8,7,2,1,6,5,4,3]=>[8,7,6,2,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[8,5,1,7,4,2,6,3]=>[5,4,8,7,6,1,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[2,1,7,5,4,3,8,6]=>[7,8,5,4,2,1,3,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[2,1,4,8,5,7,3,6]=>[2,8,4,1,5,3,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[8,5,3,1,6,2,4,7]=>[3,5,1,8,6,2,4,7]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[8,3,7,5,2,6,1,4]=>[3,2,8,5,7,1,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[5,8,3,7,6,2,1,4]=>[3,8,5,2,7,6,1,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[5,2,4,8,6,3,1,7]=>[5,8,2,4,6,3,1,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[4,2,6,3,8,5,1,7]=>[6,4,2,8,3,5,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[8,5,2,7,4,6,1,3]=>[2,5,1,8,7,4,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[8,3,2,4,1,7,5,6]=>[3,8,2,4,7,1,5,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[7,2,8,1,4,6,5,3]=>[7,8,2,1,4,6,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[5,6,1,4,3,2,8,7]=>[8,5,6,1,4,3,2,7]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[5,7,1,8,3,6,2,4]=>[1,5,7,3,8,2,6,4]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[6,7,1,5,4,3,8,2]=>[6,7,5,1,4,3,8,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[7,5,4,8,2,1,3,6]=>[2,5,7,4,1,8,3,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[7,3,6,5,4,1,8,2]=>[7,6,3,5,4,8,1,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[8,3,6,4,5,1,2,7]=>[1,3,4,8,6,5,2,7]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[8,7,3,6,5,1,4,2]=>[3,8,7,1,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[2,8,3,4,6,1,5,7]=>[2,3,4,1,8,6,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[3,4,7,2,8,1,5,6]=>[3,4,2,1,7,5,8,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[4,3,2,5,7,1,8,6]=>[7,4,3,2,5,8,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[3,8,4,7,1,6,5,2]=>[8,3,4,7,6,1,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[2,3,8,4,6,7,1,5]=>[2,3,4,8,1,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[1,3,5,7,8,6,2,4]=>[3,7,1,2,5,8,6,4]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[3,5,1,6,8,2,7,4]=>[5,3,6,8,1,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[3,1,5,6,8,2,7,4]=>[5,3,6,1,8,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[5,6,4,8,2,1,7,3]=>[5,6,4,8,2,7,1,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[5,1,6,3,8,4,7,2]=>[5,6,8,1,3,4,7,2]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[2,5,1,6,8,3,7,4]=>[5,6,2,8,1,3,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[5,1,2,6,8,3,7,4]=>[5,6,1,8,2,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[1,5,2,7,8,6,3,4]=>[1,7,5,8,2,3,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[1,6,7,5,2,8,3,4]=>[1,6,7,5,2,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[6,1,7,5,2,8,3,4]=>[1,6,7,5,8,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[5,7,2,8,6,1,3,4]=>[2,1,7,5,8,3,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[5,1,7,8,6,3,4,2]=>[7,1,5,8,3,6,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[5,1,3,7,8,6,4,2]=>[7,5,8,1,3,6,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[3,2,5,7,8,6,1,4]=>[3,7,2,1,5,8,6,4]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[6,2,7,5,1,8,3,4]=>[2,6,7,5,1,8,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[1,2,6,7,5,8,3,4]=>[1,6,7,2,3,5,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[6,7,4,5,2,1,8,3]=>[4,6,7,5,8,2,1,3]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[5,1,7,8,6,4,3,2]=>[7,5,8,6,4,1,3,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[5,1,7,8,6,3,2,4]=>[1,7,5,8,6,3,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[6,3,7,5,1,8,2,4]=>[3,6,7,1,5,8,2,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[5,7,8,6,4,1,2,3]=>[1,2,7,5,8,6,4,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[2,4,7,1,5,6,8,3]=>[4,2,5,1,7,6,8,3]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[1,6,3,7,5,8,2,4]=>[3,6,7,1,2,5,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[6,3,1,7,5,8,2,4]=>[3,6,7,1,5,2,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[2,5,3,7,8,6,1,4]=>[2,7,5,3,1,8,6,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[6,7,5,4,2,1,8,3]=>[6,7,5,4,8,2,1,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[6,3,2,7,5,8,1,4]=>[3,6,7,2,1,5,8,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[6,2,7,4,5,1,8,3]=>[6,2,7,4,5,8,1,3]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[7,3,5,1,8,2,6,4]=>[5,3,7,8,1,6,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[7,3,5,1,8,2,4,6]=>[3,1,5,7,2,8,4,6]=>[[1,2,4,6],[3,5,7,8]]=>[3,2,2,1]
[3,7,5,1,8,6,2,4]=>[3,7,8,1,5,6,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[2,6,7,4,1,8,3,5]=>[2,6,7,4,1,8,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[2,6,7,4,1,8,5,3]=>[6,7,8,2,4,5,1,3]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[2,6,7,1,5,8,4,3]=>[6,7,2,1,5,8,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[3,6,5,1,8,4,7,2]=>[6,5,3,8,1,4,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[3,7,5,4,8,1,6,2]=>[5,7,3,4,8,1,6,2]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[3,7,5,4,8,1,2,6]=>[1,5,7,3,4,2,8,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[7,5,1,6,2,8,3,4]=>[1,5,7,6,8,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[4,7,1,5,8,3,6,2]=>[4,7,1,5,3,8,6,2]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[2,3,4,7,8,1,6,5]=>[7,2,3,4,1,8,6,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[6,8,5,4,3,7,2,1]=>[6,5,8,4,3,7,2,1]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[5,8,4,3,2,1,7,6]=>[8,5,4,7,3,2,1,6]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[8,7,5,4,3,1,6,2]=>[5,8,7,4,3,6,1,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[3,5,6,2,1,8,4,7]=>[5,3,6,2,8,1,4,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[3,5,2,6,8,4,1,7]=>[5,3,6,2,4,8,1,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[7,5,3,2,8,4,1,6]=>[5,7,3,8,2,4,1,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[7,5,3,2,8,4,6,1]=>[5,7,3,8,2,4,6,1]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[2,4,5,7,3,8,6,1]=>[7,4,2,5,8,3,6,1]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[4,2,5,6,8,3,1,7]=>[4,5,2,6,3,8,1,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[4,2,8,1,5,6,3,7]=>[4,5,2,1,6,8,3,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[2,5,6,1,8,4,3,7]=>[5,6,2,4,8,1,3,7]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[5,3,6,8,1,4,2,7]=>[3,5,6,1,4,8,2,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[4,5,6,8,1,3,2,7]=>[4,1,5,6,3,8,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[4,5,6,3,8,2,1,7]=>[4,5,6,3,2,8,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[6,4,7,3,2,8,5,1]=>[6,7,4,8,3,2,5,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[6,1,4,7,3,2,8,5]=>[6,7,4,1,8,3,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[1,7,8,4,5,3,2,6]=>[4,7,1,5,8,3,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[5,1,7,3,8,4,2,6]=>[5,3,7,8,1,4,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[2,5,1,7,4,3,8,6]=>[7,5,8,2,4,1,3,6]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[2,5,7,4,1,8,6,3]=>[7,5,8,2,4,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[5,3,7,1,4,8,6,2]=>[7,3,5,8,1,4,6,2]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[6,4,3,1,7,8,5,2]=>[6,7,4,3,8,1,5,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[6,4,1,7,3,8,5,2]=>[6,7,4,8,3,1,5,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[5,6,3,7,8,4,2,1]=>[5,6,7,3,8,4,2,1]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,1,6,3,7,8,4,2]=>[5,6,7,3,1,8,4,2]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[5,6,1,3,7,8,4,2]=>[5,6,1,7,3,8,4,2]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[5,6,1,7,8,3,4,2]=>[5,1,6,7,3,8,4,2]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[1,6,3,7,4,8,5,2]=>[6,7,8,3,1,4,5,2]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[6,7,2,1,4,3,8,5]=>[6,7,2,8,4,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[6,4,7,3,1,2,8,5]=>[6,1,7,4,8,3,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[5,6,3,2,1,7,8,4]=>[5,6,7,3,2,1,8,4]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[2,5,6,3,7,8,4,1]=>[5,6,2,7,3,8,4,1]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[2,5,6,3,1,7,8,4]=>[5,6,2,7,3,1,8,4]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[2,6,4,7,3,1,8,5]=>[6,7,4,2,8,3,1,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[6,3,7,2,8,4,5,1]=>[3,6,7,2,8,4,5,1]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[6,3,7,2,8,4,1,5]=>[3,6,7,2,8,4,1,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[6,3,2,7,1,8,4,5]=>[3,6,7,2,1,8,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[7,5,3,2,1,8,4,6]=>[5,7,3,8,2,1,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[7,3,8,4,2,1,5,6]=>[3,4,7,8,2,1,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[4,7,2,1,3,8,6,5]=>[7,8,2,4,6,1,3,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[1,3,7,8,6,4,2,5]=>[3,7,8,1,4,6,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[7,3,8,4,6,2,1,5]=>[3,4,7,8,2,6,1,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[5,7,3,8,2,1,6,4]=>[5,7,3,8,2,6,1,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[6,3,7,8,5,2,1,4]=>[3,6,7,2,8,5,1,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[4,6,2,7,8,5,3,1]=>[6,4,7,8,2,5,3,1]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[4,6,2,1,7,8,5,3]=>[6,4,7,8,2,1,5,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[7,4,5,8,1,2,6,3]=>[4,1,5,7,8,2,6,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[2,5,1,7,3,8,6,4]=>[7,5,8,2,6,1,3,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[6,7,2,1,3,8,5,4]=>[6,7,2,8,5,1,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[5,1,6,7,8,2,4,3]=>[5,1,6,7,2,8,4,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[6,3,7,1,8,5,2,4]=>[3,6,7,1,8,5,2,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[6,2,1,7,3,8,5,4]=>[6,7,8,5,2,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[6,2,7,1,8,5,4,3]=>[6,7,8,5,2,4,1,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[6,3,1,7,8,5,4,2]=>[6,7,8,3,5,1,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[4,1,3,6,8,2,5,7]=>[4,1,3,2,6,5,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[4,2,3,6,8,1,5,7]=>[2,4,3,1,6,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[3,6,5,8,2,1,7,4]=>[6,5,3,8,2,7,1,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[4,5,2,1,3,8,7,6]=>[8,7,2,4,5,1,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[3,2,6,4,5,8,1,7]=>[3,6,2,4,5,1,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[2,4,6,5,8,1,3,7]=>[2,6,1,4,5,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[1,6,2,4,5,8,3,7]=>[6,1,2,4,5,3,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[5,3,2,1,6,8,4,7]=>[5,6,3,2,1,4,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[6,2,4,5,8,1,3,7]=>[2,1,4,6,5,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[1,3,4,6,5,8,2,7]=>[6,3,1,4,5,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[3,4,1,8,5,2,7,6]=>[8,3,7,4,5,1,2,6]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[2,8,4,1,7,6,3,5]=>[2,8,7,4,1,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[8,1,4,2,7,3,6,5]=>[8,1,7,4,2,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[1,5,3,2,8,7,4,6]=>[5,8,3,7,1,2,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[8,2,1,7,5,3,4,6]=>[2,1,8,7,5,3,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[3,4,2,5,8,6,7,1]=>[3,8,4,2,5,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[4,1,3,5,6,8,7,2]=>[8,4,1,3,5,6,7,2]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[2,4,8,6,7,1,3,5]=>[2,1,4,8,3,6,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[2,3,5,8,6,7,1,4]=>[2,3,8,1,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[3,2,5,6,8,7,1,4]=>[3,8,2,1,5,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[2,1,8,5,6,7,3,4]=>[2,8,1,3,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[1,2,8,3,5,6,7,4]=>[8,1,2,3,5,6,7,4]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[4,2,3,7,1,8,6,5]=>[7,8,2,4,3,6,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[3,2,6,4,8,1,7,5]=>[6,8,3,2,4,1,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[8,2,1,6,7,3,4,5]=>[2,1,8,3,4,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[2,7,8,5,4,1,3,6]=>[2,1,7,8,5,4,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[1,7,5,3,8,4,2,6]=>[5,7,3,8,1,4,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[4,7,5,3,1,2,8,6]=>[7,1,8,4,5,3,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[7,2,4,8,5,3,1,6]=>[2,7,8,4,5,3,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[4,8,3,1,2,7,6,5]=>[8,7,1,4,3,6,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[3,5,2,7,4,1,8,6]=>[7,5,3,8,2,4,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[8,4,2,3,7,1,5,6]=>[2,4,3,1,8,5,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[2,8,4,7,1,3,5,6]=>[2,1,4,3,8,5,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[8,2,4,6,7,1,3,5]=>[2,1,4,3,6,8,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[4,8,2,3,6,7,1,5]=>[2,4,3,1,6,8,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[3,5,2,7,6,1,8,4]=>[7,5,3,6,2,8,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[1,6,3,2,5,8,7,4]=>[8,6,3,5,1,2,7,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[5,8,3,2,1,6,7,4]=>[5,8,3,2,6,1,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[5,8,7,3,4,6,2,1]=>[3,5,8,4,7,6,2,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[5,8,2,7,4,1,6,3]=>[5,8,2,4,7,6,1,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[5,1,4,2,8,7,6,3]=>[8,7,5,4,1,6,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[4,7,6,5,8,2,1,3]=>[2,7,6,4,5,8,1,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[5,3,7,1,6,2,8,4]=>[5,7,3,6,1,8,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[5,2,6,8,7,1,3,4]=>[2,1,8,5,3,6,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[6,3,2,1,8,5,7,4]=>[6,8,3,5,2,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[2,7,5,4,1,8,6,3]=>[7,8,5,4,2,6,1,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[4,2,5,6,8,7,1,3]=>[2,8,4,1,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[1,8,4,2,5,6,7,3]=>[4,8,1,2,5,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[3,8,4,1,5,6,7,2]=>[3,4,8,1,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[4,2,8,5,6,7,1,3]=>[2,4,1,8,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[5,2,4,7,1,8,6,3]=>[7,5,2,4,8,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[5,3,4,7,1,8,6,2]=>[7,3,5,4,8,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[8,6,4,1,3,2,5,7]=>[1,4,8,6,3,2,5,7]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[8,1,3,6,5,2,4,7]=>[3,1,8,2,6,5,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[3,6,5,2,1,8,7,4]=>[8,6,5,3,7,2,1,4]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[8,2,6,3,4,5,1,7]=>[2,3,4,8,6,5,1,7]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[1,3,4,8,5,7,2,6]=>[1,8,3,4,5,2,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[5,8,4,7,6,2,3,1]=>[2,8,5,4,7,6,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[1,3,4,7,5,8,2,6]=>[3,7,1,4,5,2,8,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[4,7,1,6,5,8,3,2]=>[7,4,6,5,1,8,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[5,4,8,7,6,3,1,2]=>[1,8,7,5,4,6,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[2,8,5,1,4,7,6,3]=>[8,7,2,1,5,4,6,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[4,1,3,5,8,6,7,2]=>[8,1,4,3,5,6,7,2]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[6,8,4,3,2,7,1,5]=>[4,6,3,8,2,1,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[5,2,3,1,6,8,7,4]=>[8,5,2,6,3,1,7,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[5,3,2,1,8,6,7,4]=>[5,8,6,3,2,1,7,4]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[5,2,1,3,6,8,7,4]=>[8,5,2,6,1,3,7,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[2,4,7,3,8,1,6,5]=>[7,4,2,3,8,1,6,5]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[6,3,8,2,7,4,1,5]=>[3,6,8,2,4,7,1,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[3,5,1,7,8,4,2,6]=>[5,3,1,7,8,4,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[2,7,4,5,8,3,1,6]=>[2,7,4,5,3,8,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[1,8,4,3,7,2,6,5]=>[8,4,3,7,1,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[3,4,8,7,2,1,6,5]=>[8,3,7,4,2,6,1,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[5,4,7,8,3,6,2,1]=>[5,4,3,7,8,6,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[3,5,7,2,4,8,1,6]=>[3,2,5,4,7,1,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[8,4,7,2,3,1,5,6]=>[2,4,3,1,8,7,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[8,4,7,2,1,3,5,6]=>[2,4,1,3,8,7,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[8,6,4,1,3,2,7,5]=>[8,1,6,7,4,3,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[2,8,1,5,4,7,6,3]=>[8,7,2,5,1,4,6,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[1,5,8,7,4,6,2,3]=>[1,5,8,4,2,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[1,7,2,4,6,5,8,3]=>[7,6,1,2,4,5,8,3]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[3,5,1,7,6,8,2,4]=>[3,7,1,5,6,2,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[5,8,2,6,1,3,7,4]=>[5,2,6,1,8,7,3,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[6,3,5,8,7,2,1,4]=>[3,8,2,6,5,7,1,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[2,5,7,8,4,1,6,3]=>[5,4,2,7,8,6,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[4,2,8,1,5,6,7,3]=>[4,5,2,1,6,8,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[3,4,5,1,6,8,7,2]=>[8,3,4,5,6,1,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[4,1,8,5,2,6,7,3]=>[4,5,8,6,1,2,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[2,7,1,8,5,4,6,3]=>[7,2,8,5,4,1,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[5,8,6,2,1,3,7,4]=>[5,2,8,6,7,1,3,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[8,2,4,1,5,6,7,3]=>[4,2,5,1,8,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[4,6,3,5,8,1,7,2]=>[4,3,6,5,8,1,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[3,4,5,1,8,6,7,2]=>[3,8,4,5,6,1,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[3,8,1,4,5,6,7,2]=>[3,4,1,5,6,8,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[3,4,5,6,8,2,1,7]=>[3,4,5,6,2,8,1,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[3,4,5,7,1,8,6,2]=>[7,3,4,5,8,6,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[3,4,5,7,8,2,6,1]=>[3,4,5,2,7,8,6,1]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[3,4,6,2,8,5,1,7]=>[6,3,4,2,8,5,1,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[3,4,6,8,1,5,2,7]=>[3,4,6,1,5,8,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[3,4,7,2,1,8,6,5]=>[7,8,3,4,6,2,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[3,5,2,6,7,8,1,4]=>[3,2,5,1,6,7,8,4]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[3,5,2,7,8,4,6,1]=>[5,3,2,7,4,8,6,1]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[3,5,6,2,8,4,1,7]=>[5,3,6,2,8,4,1,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[3,5,7,2,4,8,6,1]=>[7,3,2,5,8,4,6,1]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[3,5,7,8,4,1,6,2]=>[5,3,4,7,8,6,1,2]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[3,6,2,1,7,8,5,4]=>[6,7,3,8,2,1,5,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[3,6,2,1,8,5,4,7]=>[6,3,8,5,2,1,4,7]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[3,6,7,2,4,8,5,1]=>[6,3,2,7,8,4,5,1]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[3,6,7,2,8,5,4,1]=>[6,7,3,8,5,2,4,1]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[3,7,2,1,4,8,6,5]=>[7,8,3,2,6,1,4,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[3,7,2,1,8,5,6,4]=>[7,3,8,2,5,1,6,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[3,7,2,8,4,5,6,1]=>[3,2,7,4,8,5,6,1]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[3,7,8,2,4,5,6,1]=>[3,2,4,5,7,8,6,1]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[4,1,5,6,7,8,3,2]=>[4,5,6,1,7,8,3,2]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[4,1,5,7,3,8,6,2]=>[7,4,5,8,1,3,6,2]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[4,1,6,8,3,5,2,7]=>[4,6,1,3,5,8,2,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[4,1,7,3,2,8,6,5]=>[7,8,4,6,3,1,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[4,1,7,8,3,5,6,2]=>[4,3,1,7,5,8,6,2]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[4,1,8,3,2,5,6,7]=>[4,3,1,2,8,5,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[4,5,2,6,7,8,3,1]=>[4,5,6,2,7,8,3,1]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[4,5,2,6,8,1,3,7]=>[2,4,5,1,6,3,8,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[4,5,7,3,8,1,6,2]=>[4,5,3,7,8,1,6,2]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[4,5,8,3,2,1,6,7]=>[4,5,3,2,8,1,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[4,6,2,3,8,5,1,7]=>[6,2,4,3,8,5,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[4,6,2,7,3,8,5,1]=>[6,4,7,8,2,3,5,1]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[4,6,2,7,8,5,1,3]=>[2,6,4,7,1,8,5,3]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[4,6,7,3,2,8,5,1]=>[6,4,7,8,3,2,5,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[4,6,8,3,2,5,1,7]=>[4,3,6,2,8,5,1,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[4,7,2,3,1,8,6,5]=>[7,8,2,4,6,3,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[5,1,2,6,8,4,3,7]=>[5,6,1,2,8,4,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[5,1,6,3,8,4,2,7]=>[5,6,3,8,1,4,2,7]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[5,1,6,7,4,8,2,3]=>[1,5,6,7,2,4,8,3]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[5,1,6,7,8,4,2,3]=>[1,5,6,7,2,8,4,3]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[5,1,8,3,4,2,6,7]=>[5,1,3,4,8,2,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[5,6,2,3,8,4,1,7]=>[5,2,6,3,8,4,1,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[5,6,2,7,8,4,1,3]=>[2,5,6,7,1,8,4,3]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[5,6,8,3,4,2,1,7]=>[3,5,6,4,8,2,1,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[5,7,8,3,4,2,6,1]=>[3,5,4,7,8,2,6,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[5,8,2,3,4,1,6,7]=>[2,3,5,4,1,8,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[6,1,2,3,7,8,5,4]=>[6,7,1,2,8,3,5,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[6,1,2,3,8,5,4,7]=>[6,1,8,2,5,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[6,1,2,7,8,5,4,3]=>[6,7,8,1,5,2,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[6,1,7,3,4,8,5,2]=>[6,7,1,8,3,4,5,2]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[6,1,7,3,8,5,4,2]=>[6,7,8,5,3,1,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[6,1,7,8,4,5,3,2]=>[6,7,1,4,8,5,3,2]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[6,1,8,3,4,5,2,7]=>[3,1,6,4,8,5,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[6,7,2,3,8,5,4,1]=>[6,7,2,8,5,3,4,1]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[6,7,2,8,4,5,3,1]=>[6,2,7,8,4,5,3,1]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[6,8,2,3,4,5,1,7]=>[2,3,4,6,5,8,1,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[7,1,2,3,4,8,6,5]=>[7,8,1,2,3,6,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[7,1,2,8,4,5,6,3]=>[7,1,2,4,8,5,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[3,5,8,6,1,2,4,7]=>[1,3,2,8,5,6,4,7]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[3,1,6,8,2,4,7,5]=>[6,3,1,8,2,4,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[1,7,5,2,3,4,6,8]=>[1,2,5,7,3,4,6,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[2,7,5,1,3,8,4,6]=>[2,7,5,1,3,8,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[8,2,1,3,7,6,4,5]=>[2,8,7,1,3,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,2,5,1,3,7,4,6]=>[5,2,1,3,8,7,4,6]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[8,2,6,5,4,7,1,3]=>[2,6,8,1,5,4,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[7,6,5,2,4,8,1,3]=>[2,1,7,6,5,4,8,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[7,8,2,5,3,1,6,4]=>[7,2,5,8,6,3,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[7,1,8,6,3,2,4,5]=>[3,1,7,8,6,2,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[6,8,1,5,3,2,4,7]=>[1,6,3,8,5,2,4,7]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[1,6,7,5,3,2,4,8]=>[1,6,7,5,3,2,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[6,5,1,2,4,8,3,7]=>[6,1,2,5,4,3,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[7,8,1,6,4,2,3,5]=>[1,2,7,8,4,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[1,7,3,6,5,2,4,8]=>[1,7,6,3,2,5,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[8,1,3,7,2,6,4,5]=>[3,8,1,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,2,7,4,5,6,1,3]=>[2,1,4,8,5,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[7,9,8,6,5,4,3,2,1]=>[9,7,8,6,5,4,3,2,1]=>[[1,8],[2],[3],[4],[5],[6],[7],[9]]=>[7,2]
[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]]=>[2,7]
[8,10,9,7,6,5,4,3,2,1]=>[10,8,9,7,6,5,4,3,2,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]]=>[8,2]
[3,8,7,5,4,6,2,1]=>[5,8,7,3,4,6,2,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[2,8,7,6,4,3,5,1]=>[4,8,7,6,2,3,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[3,8,7,4,5,6,2,1]=>[3,4,8,7,5,6,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[1,8,7,6,5,3,2,4]=>[3,8,7,6,5,1,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[1,9,8,7,6,5,4,2,3]=>[1,9,8,7,6,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[9]
[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]]=>[2,8]
[7,2,8,5,4,6,1,3]=>[2,5,7,8,1,4,6,3]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[6,3,2,8,5,1,7,4]=>[6,8,3,5,2,7,1,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[4,8,6,1,5,3,7,2]=>[4,6,8,5,1,3,7,2]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[3,4,1,2,8,6,7,5]=>[8,1,6,3,4,2,7,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[7,2,5,8,3,6,1,4]=>[2,3,7,5,1,8,6,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[7,2,6,8,5,3,1,4]=>[2,7,6,3,8,5,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[7,6,3,8,5,2,1,4]=>[3,7,6,8,2,5,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[8,6,3,4,7,2,5,1]=>[3,4,6,8,2,7,5,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[1,6,3,2,5,8,4,7]=>[6,3,5,1,2,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[8,3,2,1,5,4,7,6]=>[8,3,7,5,2,1,4,6]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[6,2,5,4,8,1,3,7]=>[2,6,1,5,4,3,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[4,3,1,6,5,8,2,7]=>[6,4,3,5,1,2,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[8,3,4,1,5,2,7,6]=>[8,3,4,5,7,1,2,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[7,5,4,2,6,8,3,1]=>[5,7,4,6,2,8,3,1]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[8,2,6,4,1,7,3,5]=>[2,8,4,6,1,7,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[7,3,8,4,5,2,1,6]=>[3,4,7,8,5,2,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[7,2,5,1,8,4,3,6]=>[5,7,2,4,8,1,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[1,7,3,2,5,4,8,6]=>[7,8,3,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[8,7,2,1,5,3,4,6]=>[2,1,8,5,7,3,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[3,6,1,5,8,7,4,2]=>[8,6,3,5,1,7,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[5,4,6,8,1,2,7,3]=>[5,1,4,6,8,2,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[6,4,7,2,3,5,8,1]=>[2,4,6,3,7,5,8,1]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[6,8,4,1,3,5,7,2]=>[4,1,6,3,8,5,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[3,4,7,8,6,2,5,1]=>[3,7,4,2,8,6,5,1]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[4,1,3,5,7,8,6,2]=>[7,4,1,3,5,8,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[6,5,1,8,4,7,3,2]=>[6,5,8,4,1,7,3,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[5,3,1,8,4,7,6,2]=>[8,5,3,7,4,1,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[8,2,7,4,6,1,3,5]=>[2,1,4,8,3,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[4,7,3,2,8,1,6,5]=>[7,4,3,8,2,1,6,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[6,3,1,4,7,2,8,5]=>[6,3,7,4,1,8,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[8,7,3,6,1,5,2,4]=>[3,1,8,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[7,4,3,6,8,2,5,1]=>[4,3,7,2,6,8,5,1]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[2,4,7,3,8,5,6,1]=>[4,7,2,3,8,5,6,1]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[2,8,6,1,5,7,3,4]=>[2,8,1,3,6,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[1,8,3,4,2,7,6,5]=>[8,7,1,6,3,4,2,5]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[8,5,3,7,4,2,6,1]=>[5,3,8,7,4,2,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[5,7,3,2,4,1,8,6]=>[7,3,5,8,2,4,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[2,8,3,4,7,1,5,6]=>[2,3,4,1,8,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[1,7,6,3,2,5,8,4]=>[7,3,6,5,1,2,8,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[3,8,1,5,6,2,7,4]=>[5,3,6,1,8,7,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[8,2,5,6,1,7,4,3]=>[5,6,2,8,7,4,1,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[7,1,5,2,8,6,4,3]=>[7,8,5,6,1,4,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[6,5,4,8,7,2,1,3]=>[2,8,6,5,4,7,1,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[1,8,6,4,5,2,7,3]=>[8,1,6,4,5,7,2,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[1,8,5,3,6,2,7,4]=>[5,8,3,6,1,7,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[3,6,2,1,7,5,8,4]=>[6,7,3,5,2,1,8,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[2,5,4,1,8,7,6,3]=>[8,7,5,4,2,6,1,3]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[4,7,2,6,5,8,1,3]=>[2,7,4,1,6,5,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[6,8,1,4,2,7,3,5]=>[4,6,1,2,8,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[6,3,4,7,1,8,2,5]=>[3,4,6,1,7,8,2,5]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[3,4,7,8,2,5,6,1]=>[3,4,2,5,7,8,6,1]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[1,8,2,4,5,6,7,3]=>[4,1,2,5,8,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[5,2,4,1,6,8,7,3]=>[8,5,2,4,6,1,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[3,2,5,7,6,1,8,4]=>[7,5,3,2,6,8,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[4,3,5,6,1,8,7,2]=>[8,4,3,5,6,7,1,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[5,3,4,1,7,6,8,2]=>[7,3,5,4,6,1,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[3,1,4,6,5,7,8,2]=>[6,3,4,1,5,7,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[1,4,7,3,5,6,8,2]=>[4,3,1,5,7,6,8,2]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[1,4,2,7,8,5,6,3]=>[4,7,5,1,2,8,6,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[4,1,2,6,8,5,3,7]=>[6,4,1,2,8,5,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[1,3,2,7,5,8,4,6]=>[5,7,3,1,2,4,8,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[1,3,2,8,5,7,4,6]=>[3,8,5,1,2,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[1,2,7,8,5,6,3,4]=>[1,7,2,5,3,8,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[1,2,6,8,5,7,3,4]=>[1,6,5,2,3,8,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[1,3,8,2,6,7,4,5]=>[3,6,1,2,4,8,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[1,4,7,2,8,6,3,5]=>[4,7,1,8,2,6,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[1,6,7,8,2,5,3,4]=>[1,6,2,7,3,8,5,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[1,5,7,8,2,3,6,4]=>[5,1,7,2,3,8,6,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[1,4,7,2,8,3,6,5]=>[7,4,1,8,2,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[1,6,7,3,4,8,5,2]=>[6,7,1,3,8,4,5,2]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[1,5,3,7,4,8,6,2]=>[7,5,8,3,1,4,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[3,8,4,1,5,7,2,6]=>[3,4,5,8,1,2,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[1,3,7,4,2,8,6,5]=>[7,8,6,3,1,4,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[1,3,8,4,2,7,6,5]=>[8,7,3,6,1,4,2,5]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[1,2,8,4,7,3,6,5]=>[8,1,7,4,2,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[1,2,6,4,8,3,7,5]=>[6,8,4,1,2,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[1,5,2,4,8,3,7,6]=>[8,5,1,4,2,3,7,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[1,8,3,5,2,7,4,6]=>[1,8,5,3,2,7,4,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[1,4,8,6,7,2,3,5]=>[1,2,8,4,3,6,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[1,2,6,8,5,3,7,4]=>[6,8,1,5,2,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[1,2,6,8,7,3,5,4]=>[8,1,6,7,2,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,2,7,8,6,3,5,4]=>[7,1,8,6,2,3,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,6,7,8,5,2,3,4]=>[1,2,6,7,3,8,5,4]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[1,5,7,8,6,2,3,4]=>[1,2,7,5,3,8,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[1,4,7,6,8,2,3,5]=>[1,4,7,2,3,6,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[1,3,7,6,2,8,4,5]=>[3,7,6,1,2,8,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[1,2,8,4,7,6,3,5]=>[1,8,7,4,2,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[1,2,7,8,6,5,3,4]=>[1,7,8,6,2,3,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[5,2,6,7,3,4,8,1]=>[2,5,6,3,7,4,8,1]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[5,6,2,1,7,8,3,4]=>[2,5,6,7,1,3,8,4]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[2,3,7,6,4,5,8,1]=>[2,7,6,3,4,5,8,1]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[5,1,2,7,8,4,3,6]=>[5,1,7,2,8,4,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[2,6,1,7,4,8,3,5]=>[2,6,7,4,1,3,8,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[3,6,4,1,7,8,2,5]=>[3,6,4,1,7,2,8,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[3,6,4,1,5,8,7,2]=>[8,3,6,4,5,1,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[5,1,2,4,8,6,7,3]=>[8,1,5,2,4,6,7,3]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[5,1,2,4,8,7,3,6]=>[5,8,1,2,4,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[5,1,2,4,8,7,6,3]=>[8,7,5,1,2,4,6,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[1,2,3,8,5,4,7,6]=>[8,5,7,1,2,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[1,2,3,8,5,6,4,7]=>[1,8,5,2,3,6,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[1,2,3,8,6,4,5,7]=>[1,6,8,2,3,4,5,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[1,2,3,8,6,5,4,7]=>[6,8,5,1,2,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[1,2,3,8,5,4,6,7]=>[5,1,8,2,3,4,6,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[2,6,1,5,4,8,3,7]=>[6,5,2,1,4,3,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[5,1,2,4,8,6,3,7]=>[5,8,1,2,4,6,3,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[5,1,2,4,8,3,7,6]=>[8,5,1,2,4,3,7,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[5,6,3,1,4,8,2,7]=>[3,5,6,4,1,2,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[2,5,4,3,1,8,6,7]=>[5,8,4,2,3,1,6,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[5,1,6,2,8,7,3,4]=>[1,8,5,6,7,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[5,2,4,1,7,8,6,3]=>[7,5,2,4,8,1,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[5,1,4,2,8,6,7,3]=>[5,8,4,1,6,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[2,1,3,6,8,5,7,4]=>[6,5,2,1,3,8,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[1,2,3,8,6,7,4,5]=>[1,8,2,6,3,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,2,3,8,7,5,4,6]=>[5,8,7,1,2,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[1,2,3,8,7,4,5,6]=>[1,2,8,7,3,4,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[1,2,3,8,5,7,4,6]=>[1,8,5,2,3,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[5,4,1,2,8,7,6,3]=>[8,7,5,1,4,6,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[3,1,6,2,8,7,5,4]=>[8,6,7,3,5,1,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[1,2,3,4,5,9,6,7,8]=>[1,2,9,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>[9]
[1,2,3,4,9,5,6,7,8]=>[1,2,3,9,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>[9]
[1,2,3,9,4,5,6,7,8]=>[1,2,3,4,9,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>[9]
[1,2,9,3,4,5,6,7,8]=>[1,2,3,4,5,9,6,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>[9]
[1,2,3,4,5,6,7,10,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10]
[1,2,3,4,5,6,10,7,8,9]=>[1,2,10,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10]
[1,2,3,4,5,10,6,7,8,9]=>[1,2,3,10,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10]
[1,2,3,4,10,5,6,7,8,9]=>[1,2,3,4,10,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10]
[1,8,3,4,2,5,6,7]=>[1,3,4,8,2,5,6,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[1,2,3,10,4,5,6,7,8,9]=>[1,2,3,4,5,10,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10]
[1,8,4,3,2,5,6,7]=>[4,3,1,8,2,5,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[1,2,10,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,10,7,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10]
[8,4,7,6,5,3,2,1]=>[8,7,4,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[4,4]
[8,4,7,5,6,3,2,1]=>[4,8,5,7,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[8,5,7,3,6,4,2,1]=>[5,8,3,7,6,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[8,1,7,4,6,5,3,2]=>[8,7,4,1,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[8,1,7,3,6,5,4,2]=>[8,7,6,1,3,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[8,2,7,3,6,5,4,1]=>[8,7,2,6,3,5,4,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[8,5,7,2,6,4,3,1]=>[5,8,7,2,6,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[8,6,7,2,5,4,3,1]=>[6,8,2,7,5,4,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[8,3,7,1,6,5,4,2]=>[8,7,3,6,1,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[8,1,7,2,6,5,4,3]=>[8,7,6,1,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[8,1,7,6,5,3,4,2]=>[8,1,7,6,3,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[8,3,7,6,5,2,4,1]=>[3,8,7,2,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[8,4,7,6,5,2,3,1]=>[2,8,7,4,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[8,5,7,6,4,2,3,1]=>[2,8,5,7,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[2,3,3]
[8,6,7,5,4,1,3,2]=>[6,1,8,7,5,4,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[8,3,7,6,5,1,4,2]=>[3,8,7,6,1,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[8,7,6,4,5,1,3,2]=>[4,1,8,7,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[8,7,6,1,5,2,4,3]=>[8,1,7,2,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[6,8,1,3,2,5,4,7]=>[6,1,3,8,5,2,4,7]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[7,8,2,5,1,4,3,6]=>[2,7,1,5,8,4,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[6,8,2,5,3,7,1,4]=>[2,6,3,5,8,1,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[6,8,2,5,4,7,1,3]=>[2,6,1,5,8,4,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[2,6,5,8,1,4,3,7]=>[6,2,5,1,4,8,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[2,6,3,7,4,8,1,5]=>[2,6,7,3,4,1,8,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,6,4,7,5,8,1,3]=>[2,6,7,1,4,5,8,3]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[5,8,2,6,4,7,1,3]=>[2,5,1,8,6,4,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,8,1,5,3,7,2,6]=>[4,1,8,5,3,2,7,6]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[4,8,1,5,2,6,3,7]=>[4,1,8,5,6,2,3,7]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[4,8,3,7,1,5,2,6]=>[4,3,1,8,5,7,2,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[4,7,6,8,1,3,2,5]=>[1,7,4,3,6,8,2,5]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[4,7,1,3,2,6,5,8]=>[7,4,1,3,6,2,5,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[3,7,5,8,1,4,2,6]=>[3,5,7,1,4,8,2,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[4,7,5,8,2,6,1,3]=>[2,4,7,5,1,8,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[3,7,5,8,2,6,1,4]=>[3,2,7,5,1,8,6,4]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[3,7,4,8,2,6,1,5]=>[3,4,7,2,1,8,6,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[3,7,1,5,2,6,4,8]=>[7,3,1,5,6,2,4,8]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[4,7,3,6,5,8,1,2]=>[1,7,4,3,6,5,8,2]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[3,6,5,8,4,7,1,2]=>[1,6,5,3,4,8,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[2,6,5,8,3,7,1,4]=>[2,6,5,3,1,8,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[2,6,3,7,1,5,4,8]=>[6,2,7,3,1,5,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[7,6,4,2,8,5,3,1]=>[7,6,8,4,5,2,3,1]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[6,8,4,3,7,2,1,5]=>[4,6,3,8,2,7,1,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[7,6,3,5,2,4,8,1]=>[3,2,7,6,5,4,8,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[7,6,2,8,4,1,5,3]=>[7,2,6,8,4,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[6,3,8,4,7,2,1,5]=>[3,6,4,8,2,7,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[6,2,7,4,1,5,3,8]=>[6,2,7,4,5,1,3,8]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[6,3,4,7,5,8,2,1]=>[6,3,7,4,5,8,2,1]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[6,3,5,7,8,4,2,1]=>[6,3,5,7,8,4,2,1]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[4,6,7,8,3,5,2,1]=>[4,3,6,7,8,5,2,1]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[4,6,8,3,5,7,2,1]=>[4,3,6,5,8,7,2,1]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[5,3,4,7,8,2,1,6]=>[3,5,4,2,7,8,1,6]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[5,3,8,2,4,1,6,7]=>[3,5,2,4,1,8,6,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[4,8,3,6,2,5,7,1]=>[4,3,2,6,8,5,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[4,7,8,3,6,2,5,1]=>[4,3,2,7,8,6,5,1]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[4,8,3,7,2,5,6,1]=>[4,3,2,5,8,7,6,1]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[5,3,4,8,2,7,6,1]=>[8,3,5,4,2,7,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[5,3,8,2,4,1,7,6]=>[8,3,5,2,4,7,1,6]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[6,4,3,5,8,2,1,7]=>[4,6,3,5,2,8,1,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[5,8,3,7,2,6,4,1]=>[5,8,3,2,7,6,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[5,8,4,2,3,1,6,7]=>[2,5,4,3,8,1,6,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[5,8,4,2,3,1,7,6]=>[8,2,5,4,7,3,1,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[6,4,8,5,3,7,2,1]=>[6,4,8,5,3,7,2,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[6,4,3,8,5,7,2,1]=>[6,4,8,3,5,7,2,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[6,4,2,8,5,3,1,7]=>[6,4,8,5,2,3,1,7]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[6,4,2,7,3,1,8,5]=>[6,7,4,8,2,3,1,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[6,4,3,7,8,5,2,1]=>[6,7,4,3,8,5,2,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[6,4,5,3,7,1,8,2]=>[4,6,5,3,7,8,1,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[5,6,3,7,1,8,2,4]=>[3,5,6,1,7,8,2,4]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[5,6,3,4,7,1,8,2]=>[3,5,6,4,7,8,1,2]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[5,3,7,2,4,1,6,8]=>[3,5,2,4,7,1,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[5,3,4,7,2,6,1,8]=>[3,5,4,2,7,6,1,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[4,7,3,6,2,5,8,1]=>[4,3,2,7,6,5,8,1]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[4,5,8,3,6,7,2,1]=>[4,5,3,6,8,7,2,1]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[5,3,4,6,8,2,1,7]=>[3,5,4,6,2,8,1,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[5,3,6,7,1,8,2,4]=>[3,5,1,6,7,8,2,4]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[5,3,4,6,7,1,8,2]=>[3,5,4,6,7,8,1,2]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[4,6,3,5,7,8,2,1]=>[4,3,6,5,7,8,2,1]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[4,5,6,8,3,7,2,1]=>[4,5,6,3,8,7,2,1]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[5,7,4,8,6,3,2,1]=>[7,5,8,4,6,3,2,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[3,5,6,7,2,8,4,1]=>[5,3,6,7,8,2,4,1]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[4,5,6,7,8,9,3,2,1]=>[4,5,6,7,8,9,3,2,1]=>[[1,5,6,7,8,9],[2],[3],[4]]=>[4,5]
[3,4,5,6,7,8,9,2,1]=>[3,4,5,6,7,8,9,2,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,6]
[2,4,5,6,7,8,1,9,3]=>[4,2,5,6,7,8,9,1,3]=>[[1,3,6,7,8,9],[2,5],[4]]=>[2,2,5]
[4,5,6,7,8,9,10,3,2,1]=>[4,5,6,7,8,9,10,3,2,1]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>[4,6]
[3,4,5,6,7,8,9,10,2,1]=>[3,4,5,6,7,8,9,10,2,1]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>[3,7]
[1,6,2,5,3,4,8,7]=>[8,1,6,2,5,3,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[1,3,8,2,4,6,5,7]=>[3,8,1,2,4,6,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[1,8,2,5,3,4,7,6]=>[8,1,2,7,5,3,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[1,8,2,3,6,4,7,5]=>[8,1,6,2,7,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,2,7,3,5,4,6,8]=>[1,7,5,2,3,4,6,8]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[1,8,2,7,3,4,6,5]=>[8,1,2,7,3,6,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[1,6,8,2,3,5,4,7]=>[6,1,2,3,8,5,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[5,3,6,1,2,4,8,7]=>[8,1,3,5,2,6,4,7]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[7,1,5,8,4,2,3,6]=>[1,5,7,2,4,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[8,1,5,7,4,2,3,6]=>[1,5,2,8,4,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[7,1,4,5,8,2,3,6]=>[1,4,2,5,7,3,8,6]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[8,1,4,7,5,2,3,6]=>[1,4,8,2,5,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[2,1,7,5,8,3,4,6]=>[2,5,7,1,3,4,8,6]=>[[1,3,4,6],[2,5,7,8]]=>[2,3,2,1]
[7,1,5,4,8,2,3,6]=>[1,5,7,2,4,3,8,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[7,1,4,8,5,2,3,6]=>[1,2,7,8,4,5,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[6,4,1,7,2,3,8,5]=>[6,1,7,4,8,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[7,8,3,1,2,4,6,5]=>[7,1,3,2,8,6,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[8,6,1,7,4,2,3,5]=>[1,4,6,8,7,2,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[7,6,1,8,4,2,3,5]=>[1,4,7,6,8,2,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[7,3,8,1,2,4,6,5]=>[7,1,3,2,8,4,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[8,3,7,1,2,4,6,5]=>[8,1,3,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,3,7,5,1,2,4,6]=>[1,3,2,8,5,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[7,3,6,1,2,4,8,5]=>[7,1,3,2,6,8,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[6,7,1,8,4,2,3,5]=>[1,4,6,7,8,2,3,5]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[6,8,1,7,4,2,3,5]=>[1,2,6,8,7,4,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[7,1,8,5,4,2,3,6]=>[1,5,7,8,4,2,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[7,1,8,4,5,2,3,6]=>[1,2,7,4,8,5,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[2,1,7,8,5,3,4,6]=>[2,1,7,8,3,5,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[7,6,3,1,2,4,8,5]=>[7,1,3,6,8,2,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[6,1,2,3,8,7,5,4]=>[8,6,7,1,2,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[6,8,1,4,2,3,7,5]=>[6,1,8,2,4,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[6,7,3,1,2,8,4,5]=>[1,6,3,7,8,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[6,7,1,4,2,3,8,5]=>[6,1,7,2,8,4,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[4,3,6,8,5,7,1,2]=>[1,6,4,3,5,8,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[6,1,2,5,4,8,3,7]=>[6,5,1,2,4,3,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[2,4,8,5,1,3,6,7]=>[2,1,4,8,5,3,6,7]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[1,3,6,8,7,4,2,5]=>[3,8,6,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[2,6,1,5,8,3,4,7]=>[2,6,1,3,5,4,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[5,7,1,6,8,4,3,2]=>[5,7,6,8,1,4,3,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[4,8,1,2,5,7,3,6]=>[4,1,5,2,3,8,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[3,8,1,4,7,2,5,6]=>[3,4,1,2,5,8,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[1,7,8,4,6,2,5,3]=>[7,1,4,8,2,6,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[3,7,4,8,5,1,6,2]=>[3,7,8,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[3,7,1,6,5,4,8,2]=>[7,6,3,5,1,4,8,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[2,7,3,1,5,8,4,6]=>[2,7,5,3,1,4,8,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[2,7,4,6,8,1,3,5]=>[2,1,4,7,3,6,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[8,2,6,7,5,4,3,1]=>[6,8,7,2,5,4,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[3,8,7,1,6,4,5,2]=>[3,8,7,1,4,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[3,6,8,2,7,4,1,5]=>[3,6,2,8,4,7,1,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[1,5,2,8,7,4,6,3]=>[5,8,7,1,4,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[4,1,3,7,5,6,8,2]=>[7,1,4,3,5,6,8,2]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[6,3,8,1,7,4,2,5]=>[3,6,8,1,7,4,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[4,1,7,3,8,5,2,6]=>[4,7,3,8,1,5,2,6]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[5,6,8,7,2,4,1,3]=>[2,1,8,5,6,7,4,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[6,8,5,7,1,2,4,3]=>[6,1,2,5,8,7,4,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[8,2,4,3,7,5,6,1]=>[2,8,4,7,3,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[6,8,2,1,5,7,3,4]=>[2,6,1,8,3,5,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[7,2,8,4,1,6,3,5]=>[2,7,4,8,1,6,3,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[1,2,4,8,6,5,3,7]=>[6,8,4,1,2,5,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[7,1,5,6,8,4,3,2]=>[5,7,6,1,8,4,3,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[2,7,8,1,4,6,3,5]=>[4,2,1,3,7,8,6,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[4,8,2,5,7,1,6,3]=>[4,5,2,8,1,7,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[4,1,6,8,5,3,7,2]=>[6,4,8,1,5,3,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[6,7,1,3,4,5,8,2]=>[3,1,4,6,7,5,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[1,7,3,2,4,8,5,6]=>[3,7,1,8,2,4,5,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[7,1,6,5,3,4,8,2]=>[7,1,6,3,5,4,8,2]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[6,3,4,2,8,7,5,1]=>[8,6,3,7,4,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[4,3,8,7,5,2,6,1]=>[4,8,7,3,5,2,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[6,8,7,4,2,3,5,1]=>[2,4,8,6,7,3,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[3,6,4,5,2,8,7,1]=>[8,3,6,4,5,2,7,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[8,6,1,3,5,4,2,7]=>[3,8,1,6,5,4,2,7]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[2,5,3,6,8,7,4,1]=>[8,5,6,2,3,7,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[6,3,5,4,8,7,2,1]=>[8,6,3,5,4,7,2,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[3,3,2]
[4,3,8,6,1,5,2,7]=>[4,3,8,6,1,5,2,7]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[4,7,6,2,5,3,8,1]=>[4,7,6,2,5,3,8,1]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[7,5,2,6,8,1,4,3]=>[5,2,7,6,1,8,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[8,5,2,7,1,4,3,6]=>[5,2,1,8,7,4,3,6]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[1,8,5,3,6,2,4,7]=>[3,5,1,8,2,6,4,7]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[5,4,1,3,8,6,2,7]=>[5,8,1,4,3,6,2,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[5,1,8,6,3,4,2,7]=>[1,8,5,6,3,4,2,7]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[4,5,2,8,3,7,6,1]=>[8,4,5,2,7,3,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[8,2,3,7,6,4,5,1]=>[2,8,7,3,4,6,5,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[1,6,7,4,8,2,3,5]=>[1,2,6,7,4,3,8,5]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[2,8,3,6,7,5,4,1]=>[8,6,2,3,7,5,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[3,1,7,2,8,5,4,6]=>[3,7,8,5,1,2,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[3,6,1,4,7,2,8,5]=>[6,3,7,1,4,8,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[1,5,8,4,7,2,3,6]=>[1,5,4,2,3,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[1,8,5,7,3,2,4,6]=>[1,5,8,3,2,7,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[2,1,8,5,4,3,6,7]=>[5,4,8,2,1,3,6,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[4,7,5,6,8,1,3,2]=>[4,1,7,5,6,8,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[7,1,3,2,8,5,4,6]=>[5,7,8,1,3,2,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[5,1,7,4,2,3,8,6]=>[7,1,5,8,4,2,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[3,8,6,5,1,4,2,7]=>[3,6,8,5,1,4,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[1,3,4,8,6,5,2,7]=>[6,8,3,1,4,5,2,7]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[7,2,8,5,3,6,4,1]=>[5,7,8,6,2,3,4,1]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[8,4,7,5,2,3,6,1]=>[2,4,8,5,7,3,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[5,7,4,3,6,2,8,1]=>[5,4,7,3,6,2,8,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[6,7,5,1,2,8,3,4]=>[1,6,2,7,5,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[5,2,6,8,3,4,7,1]=>[2,5,6,3,4,8,7,1]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[7,6,2,4,5,8,3,1]=>[4,2,7,6,5,8,3,1]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[3,6,8,4,7,2,5,1]=>[3,6,4,2,8,7,5,1]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[7,6,3,8,4,2,5,1]=>[3,7,6,8,4,2,5,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[7,2,3,6,5,8,4,1]=>[7,6,2,3,5,8,4,1]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[2,8,3,6,4,5,7,1]=>[2,3,8,6,4,5,7,1]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[2,1,5,6,8,3,7,4]=>[5,6,2,1,8,3,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[5,8,1,2,6,4,7,3]=>[5,8,1,2,6,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[1,6,8,3,2,7,4,5]=>[1,6,8,3,7,2,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[6,4,5,8,2,7,3,1]=>[4,6,5,8,2,7,3,1]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[5,7,3,6,4,8,2,1]=>[5,7,3,6,4,8,2,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[1,5,6,4,8,2,7,3]=>[5,6,4,1,8,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[1,4,6,3,5,7,8,2]=>[4,3,1,6,5,7,8,2]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[3,6,1,4,2,7,8,5]=>[6,3,7,1,4,2,8,5]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[1,3,6,5,2,7,8,4]=>[6,5,3,1,7,2,8,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[1,2,6,4,3,8,5,7]=>[6,4,8,1,2,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[2,3,6,1,8,5,4,7]=>[6,2,8,3,5,1,4,7]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[1,2,7,4,6,8,3,5]=>[1,7,4,2,3,6,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[1,2,7,3,6,8,5,4]=>[7,6,1,8,2,3,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[2,3,6,1,8,5,7,4]=>[6,8,2,3,1,5,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[3,1,5,4,8,7,6,2]=>[8,7,5,3,4,1,6,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[1,2,5,8,4,7,3,6]=>[5,4,1,2,3,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[3,5,7,4,8,2,1,6]=>[5,3,4,7,2,8,1,6]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[2,4,7,6,8,3,1,5]=>[4,7,2,3,6,8,1,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[1,4,6,8,3,5,2,7]=>[4,3,1,6,5,8,2,7]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[1,3,6,8,5,2,4,7]=>[3,6,1,2,5,8,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[1,2,5,8,4,3,7,6]=>[8,5,1,7,2,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[3,5,4,6,8,2,1,7]=>[5,3,4,6,2,8,1,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[3,5,4,6,8,1,2,7]=>[1,5,3,4,6,2,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[1,2,4,7,5,8,3,6]=>[4,7,1,2,5,3,8,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[1,2,6,7,4,8,3,5]=>[1,6,7,2,4,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[3,6,4,7,1,8,5,2]=>[6,7,3,4,8,5,1,2]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[1,2,6,7,3,8,5,4]=>[6,7,8,1,2,5,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[1,2,5,7,3,8,6,4]=>[7,5,8,1,2,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[3,1,5,7,6,8,4,2]=>[7,5,3,6,1,8,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[4,2,6,1,8,7,5,3]=>[8,6,4,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[2,3,6,5,8,7,1,4]=>[2,8,6,3,1,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[1,2,7,4,6,8,5,3]=>[7,6,1,4,2,8,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[1,2,7,5,6,8,4,3]=>[7,5,1,6,2,8,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[4,6,2,7,5,8,3,1]=>[6,4,7,5,2,8,3,1]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[1,4,6,8,3,5,7,2]=>[4,3,1,6,5,8,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[1,3,5,8,2,7,4,6]=>[5,3,1,2,8,4,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[1,2,5,8,4,7,6,3]=>[8,5,4,1,2,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[1,2,4,8,7,3,6,5]=>[8,4,7,1,2,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[1,2,5,8,7,4,3,6]=>[5,8,1,7,2,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[1,3,5,8,7,2,4,6]=>[3,1,8,2,5,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[5,7,1,2,8,6,4,3]=>[7,5,8,1,6,4,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[3,1,7,6,8,5,4,2]=>[7,6,8,3,5,1,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[1,2,4,8,7,6,3,5]=>[4,8,7,1,2,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[5,3,4,7,2,8,1,6]=>[3,5,4,2,7,1,8,6]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[3,2,7,4,6,8,1,5]=>[3,2,7,4,1,6,8,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[2,7,3,4,5,8,1,6]=>[2,3,4,7,5,1,8,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[2,5,7,3,6,8,1,4]=>[2,5,3,1,7,6,8,4]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[4,7,6,2,3,8,1,5]=>[2,4,7,3,6,1,8,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[7,3,5,2,4,8,1,6]=>[3,2,5,7,4,1,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[7,6,2,4,5,8,1,3]=>[2,1,4,7,6,5,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[6,5,2,3,4,8,1,7]=>[2,3,6,5,4,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[5,3,1,2,8,4,7,6]=>[8,5,1,3,7,2,4,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[5,2,1,8,3,4,6,7]=>[2,5,1,3,8,4,6,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[6,3,2,8,4,5,7,1]=>[3,6,2,8,4,5,7,1]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[6,4,1,3,8,5,7,2]=>[6,4,1,8,3,5,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[6,2,3,1,8,4,7,5]=>[6,8,2,3,7,1,4,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[8,3,5,2,7,1,4,6]=>[3,2,5,1,8,4,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[8,6,2,4,7,1,5,3]=>[4,2,6,8,7,1,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[8,2,1,7,3,4,5,6]=>[2,1,3,8,4,7,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[8,6,3,7,2,4,5,1]=>[3,2,6,8,4,7,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[7,1,6,2,3,4,5,8]=>[1,2,3,7,4,6,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[8,2,7,3,4,5,6,1]=>[2,3,4,8,5,7,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[8,1,6,2,3,4,5,7]=>[1,2,3,4,8,6,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[8,6,1,7,2,4,5,3]=>[6,1,2,8,7,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[1,7,5,8,2,3,6,4]=>[5,1,7,8,2,3,6,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[7,2,1,8,3,4,5,6]=>[2,1,3,7,8,4,5,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[7,3,8,2,4,5,6,1]=>[3,2,4,7,5,8,6,1]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[7,2,8,3,4,5,6,1]=>[2,3,4,7,8,5,6,1]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[2,5,7,1,8,3,6,4]=>[5,7,2,1,8,6,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[6,2,7,1,8,4,5,3]=>[6,2,7,8,1,4,5,3]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[4,7,1,3,8,5,6,2]=>[7,1,4,3,8,5,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[1,6,2,8,4,5,7,3]=>[6,1,8,2,4,5,7,3]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[4,6,3,8,7,1,2,5]=>[1,4,8,3,6,2,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[5,3,4,8,7,1,2,6]=>[1,3,8,5,4,2,7,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[3,1,8,7,2,4,6,5]=>[8,3,1,7,2,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[5,3,7,6,1,2,4,8]=>[1,3,7,5,2,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[1,8,3,7,2,4,5,6]=>[1,3,2,8,4,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[3,8,1,7,2,4,5,6]=>[3,1,2,4,8,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[4,7,8,2,6,1,3,5]=>[2,4,1,3,7,8,6,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[6,2,8,7,1,4,5,3]=>[8,2,1,6,4,7,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[3,8,7,1,4,5,6,2]=>[3,4,1,8,5,7,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[2,8,6,1,3,4,5,7]=>[2,1,3,4,8,6,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[1,7,6,2,3,4,5,8]=>[1,2,3,7,6,4,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[1,8,6,2,3,4,5,7]=>[1,2,3,6,8,4,5,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[2,8,7,3,4,5,6,1]=>[2,3,4,8,7,5,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[1,5,8,7,2,3,6,4]=>[5,1,8,7,2,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[8,7,6,1,3,4,5,2]=>[3,1,4,8,7,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[3,4,7,2,5,1,8,6]=>[7,3,4,2,8,5,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[2,1,6,4,8,5,3,7]=>[6,4,8,2,1,5,3,7]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[1,2,8,3,7,5,4,6]=>[1,8,7,5,2,3,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[1,2,3,4,5,10,9,8,7,6]=>[10,9,8,7,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>[10]
[3,1,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3]]=>[3,6]
[2,3,5,1,4,6,7,8,9]=>[2,3,1,5,4,6,7,8,9]=>[[1,3,4,6,7,8,9],[2,5]]=>[2,3,4]
[3,6,8,7,1,2,5,4]=>[8,1,3,6,2,7,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[6,5,7,2,4,8,1,3]=>[2,1,6,5,7,4,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[3,5,1,2,4,8,7,6]=>[8,7,1,3,2,5,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[3,7,5,2,1,4,6,8]=>[3,2,7,5,1,4,6,8]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[3,8,5,2,7,4,1,6]=>[3,8,5,2,7,4,1,6]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[5,2,7,4,1,3,6,8]=>[2,5,1,7,4,3,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[4,3,5,1,2,8,7,6]=>[8,7,1,4,3,5,2,6]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[1,4,6,5,2,8,7,3]=>[8,6,4,5,1,7,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[3,4,5,6,1,8,7,2]=>[8,3,4,5,6,7,1,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[8,4,7,5,2,1,6,3]=>[4,8,5,7,6,2,1,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[8,1,4,7,2,3,6,5]=>[8,1,4,2,3,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[1,8,5,7,3,4,6,2]=>[3,1,8,5,4,7,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[6,4,8,5,7,1,2,3]=>[1,2,6,4,8,5,7,3]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[5,4,8,1,6,3,2,7]=>[5,4,6,8,1,3,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[1,4,8,6,3,7,2,5]=>[4,1,8,6,3,2,7,5]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[4,1,3,5,8,6,2,7]=>[4,8,1,3,5,6,2,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[4,3,8,2,1,6,5,7]=>[4,8,3,2,6,1,5,7]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[3,1,2,5,7,6,4,8]=>[7,5,1,3,2,6,4,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[1,8,2,7,6,5,4,3]=>[8,7,6,5,1,4,2,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[7,2,3,8,5,6,1,4]=>[2,3,7,1,8,5,6,4]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[8,2,1,7,5,6,4,3]=>[8,7,2,5,1,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[8,1,3,6,5,7,4,2]=>[8,6,1,3,5,7,4,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[8,2,4,3,6,1,5,7]=>[2,4,3,8,1,6,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[1,7,8,5,4,3,6,2]=>[5,7,8,4,1,3,6,2]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[1,8,4,5,3,2,6,7]=>[4,1,8,5,3,2,6,7]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[7,8,5,4,3,1,6,2]=>[5,7,8,4,3,6,1,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[6,8,7,1,4,2,5,3]=>[8,1,4,6,7,5,2,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[3,4,1,8,5,7,6,2]=>[8,3,7,4,5,1,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[3,6,5,1,2,8,4,7]=>[6,1,5,3,2,8,4,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[8,1,7,6,2,4,3,5]=>[1,8,2,7,6,4,3,5]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[8,5,6,1,4,2,3,7]=>[1,5,2,6,8,4,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[8,6,5,4,7,1,3,2]=>[6,1,8,5,4,7,3,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[1,8,6,5,7,3,4,2]=>[6,1,8,5,3,7,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[1,7,5,3,6,8,4,2]=>[5,7,6,3,1,8,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[7,4,1,6,5,8,3,2]=>[7,4,6,5,8,1,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[4,1,5,8,7,6,3,2]=>[8,7,4,5,6,1,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[1,2,5,8,6,7,3,4]=>[1,8,2,5,3,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[1,5,3,6,8,7,4,2]=>[8,5,6,3,1,7,4,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[3,1,5,7,6,8,2,4]=>[3,7,1,5,2,6,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[1,4,5,6,8,7,2,3]=>[1,8,4,2,5,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[1,7,3,6,5,2,8,4]=>[7,6,5,1,3,8,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[8,6,2,5,4,1,7,3]=>[8,2,6,5,4,7,1,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[3,7,2,6,5,4,1,8]=>[7,6,3,2,5,4,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[7,6,2,5,4,3,1,8]=>[7,6,2,5,4,3,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[3,2,6,4,7,5,1,8]=>[6,7,3,2,4,5,1,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[6,2,3,7,5,4,1,8]=>[6,7,2,5,3,4,1,8]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[1,3,4,7,6,2,8,5]=>[7,6,3,1,4,8,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[2,8,3,6,1,7,5,4]=>[8,6,2,3,7,5,1,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[8,7,2,5,1,6,4,3]=>[5,8,2,7,6,4,1,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[4,5,1,3,7,2,8,6]=>[7,4,1,5,3,8,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[6,1,3,7,5,2,8,4]=>[6,7,5,1,3,8,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[7,1,3,6,2,8,5,4]=>[7,6,3,1,8,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[8,1,3,6,2,7,5,4]=>[6,8,3,1,7,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[3,1,8,6,2,7,5,4]=>[8,6,3,7,5,1,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[4,1,7,8,2,6,5,3]=>[7,4,8,1,6,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[5,6,1,8,2,7,4,3]=>[5,6,8,7,1,4,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[3,2,8,6,1,7,5,4]=>[8,6,3,7,2,5,1,4]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[1,8,7,2,6,5,4,3]=>[8,7,6,1,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[2,8,7,1,6,5,4,3]=>[8,7,6,2,5,1,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[3,8,7,1,6,5,4,2]=>[8,7,3,6,5,1,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[4,8,7,5,1,6,3,2]=>[4,8,7,5,6,3,1,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[6,7,8,5,1,4,3,2]=>[6,7,1,8,5,4,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[5,6,3,8,4,1,7,2]=>[5,6,3,8,4,7,1,2]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[3,4,8,6,5,1,7,2]=>[6,8,3,4,5,7,1,2]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[1,4,8,6,2,7,5,3]=>[8,4,6,7,1,5,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[3,4,6,5,1,2,8,7]=>[8,1,6,3,4,5,2,7]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[1,4,6,2,3,8,7,5]=>[8,6,1,4,2,7,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[1,3,2,7,4,8,6,5]=>[7,8,6,3,1,2,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[7,2,1,6,3,8,5,4]=>[7,6,8,2,5,1,3,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[2,3,1,7,6,4,8,5]=>[7,6,8,2,3,1,4,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[4,5,2,1,7,3,8,6]=>[7,4,5,8,2,1,3,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[5,6,7,1,2,8,4,3]=>[5,6,1,7,8,4,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[4,7,5,1,2,8,6,3]=>[7,8,1,4,5,6,2,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[7,6,1,2,8,5,4,3]=>[7,6,8,1,5,4,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[8,6,1,2,7,5,4,3]=>[6,8,7,1,5,4,2,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[1,7,2,3,8,6,5,4]=>[7,8,6,1,5,2,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[8,7,1,2,6,5,4,3]=>[8,7,6,1,2,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[3,8,1,6,2,7,5,4]=>[8,6,3,1,7,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[5,6,8,1,2,7,4,3]=>[5,6,1,8,7,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[2,1,3,7,4,8,6,5]=>[7,8,6,2,1,3,4,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[5,3,6,4,2,8,1,7]=>[5,6,3,4,2,1,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[5,2,6,4,7,3,1,8]=>[5,6,4,2,7,3,1,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[2,6,3,4,7,5,1,8]=>[6,2,7,3,4,5,1,8]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[2,6,3,5,4,8,1,7]=>[6,2,5,3,4,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[5,4,3,1,8,2,7,6]=>[8,5,4,3,1,7,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[6,5,4,2,7,3,1,8]=>[6,5,4,7,2,3,1,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[6,5,2,8,3,4,7,1]=>[2,6,5,3,8,4,7,1]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[6,1,5,3,8,2,7,4]=>[6,5,8,1,3,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[4,6,3,1,8,2,7,5]=>[6,4,8,3,1,7,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[8,2,6,4,7,3,1,5]=>[2,8,4,6,3,7,1,5]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[8,6,2,5,7,4,1,3]=>[2,6,1,8,5,7,4,3]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[8,3,1,7,2,5,4,6]=>[3,8,1,5,7,2,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[7,5,2,6,4,3,1,8]=>[5,7,6,4,2,3,1,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[7,1,6,2,5,4,3,8]=>[7,6,1,5,2,4,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[7,3,8,4,5,2,6,1]=>[3,4,7,8,5,2,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[6,1,8,4,3,2,5,7]=>[4,6,3,8,1,2,5,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[1,2,7,3,4,6,5,8]=>[7,1,2,6,3,4,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[1,6,2,8,3,5,7,4]=>[6,1,8,2,5,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[3,1,5,8,4,2,6,7]=>[5,3,1,4,8,2,6,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[4,3,1,6,8,2,7,5]=>[6,4,3,8,1,2,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[5,7,4,8,3,2,1,6]=>[5,4,7,3,8,2,1,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[6,4,7,5,3,2,1,8]=>[6,7,4,5,3,2,1,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[1,8,3,7,6,2,4,5]=>[1,3,8,7,2,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[5,8,3,2,6,4,1,7]=>[5,3,8,6,2,4,1,7]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[6,8,2,4,7,5,1,3]=>[2,6,1,8,4,7,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[7,3,8,2,6,4,1,5]=>[3,7,2,8,4,6,1,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[4,6,8,2,7,3,1,5]=>[4,2,6,8,3,7,1,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[6,8,1,7,2,5,4,3]=>[6,8,1,7,5,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[2,8,6,4,3,5,1,7]=>[4,6,8,2,3,5,1,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[2,7,6,3,5,4,1,8]=>[7,2,6,5,3,4,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[1,7,6,5,2,4,3,8]=>[7,1,6,5,4,2,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[1,8,6,5,3,2,4,7]=>[3,6,8,5,1,2,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[7,1,8,6,5,2,3,4]=>[1,2,7,8,6,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[8,4,7,5,3,2,1,6]=>[4,8,5,7,3,2,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[6,8,3,2,5,4,7,1]=>[6,3,5,8,2,4,7,1]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[6,8,4,5,2,3,7,1]=>[2,4,6,5,8,3,7,1]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[6,3,8,1,5,4,7,2]=>[6,3,8,1,5,4,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[6,2,1,8,5,4,7,3]=>[6,5,8,4,2,1,7,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[2,6,3,1,7,5,4,8]=>[6,7,5,2,3,1,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[2,5,6,8,4,3,7,1]=>[5,6,2,4,8,3,7,1]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[5,2,1,8,7,6,4,3]=>[8,7,5,6,4,2,1,3]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[4,8,6,7,5,3,1,2]=>[1,8,4,6,7,5,3,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[4,8,7,5,6,2,3,1]=>[2,4,8,7,5,6,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[5,8,4,7,2,6,3,1]=>[5,4,8,2,7,6,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[1,5,7,4,8,2,6,3]=>[5,7,1,4,8,2,6,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[5,8,3,2,7,6,4,1]=>[8,5,7,3,6,2,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[4,2,1,6,5,3,7,8]=>[6,4,5,2,1,3,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[3,4,7,5,6,1,2,8]=>[1,3,7,4,5,6,2,8]=>[[1,2,4,5,6,8],[3],[7]]=>[3,4,1]
[3,4,5,8,6,7,1,2]=>[1,3,8,4,5,6,7,2]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[3,5,4,6,1,8,7,2]=>[8,5,3,4,6,7,1,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[4,2,1,5,6,8,7,3]=>[8,4,5,2,1,6,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[5,10,4,9,3,8,2,7,1,6]=>[5,4,3,2,1,10,9,8,7,6]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[2,1,7,3,8,4,6,5]=>[7,2,8,6,1,3,4,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[4,1,8,2,7,3,6,5]=>[8,4,1,7,2,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[7,1,3,2,8,4,6,5]=>[7,1,8,6,3,2,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[7,1,8,2,4,3,6,5]=>[7,1,8,4,6,2,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[8,1,7,2,5,3,6,4]=>[8,1,7,2,5,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[7,1,5,2,8,3,6,4]=>[5,7,8,1,2,6,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[5,1,7,2,8,3,6,4]=>[5,7,1,8,6,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[5,1,8,2,7,3,6,4]=>[5,8,1,7,2,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[8,1,6,2,4,3,7,5]=>[8,1,6,7,2,4,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[6,1,8,2,4,3,7,5]=>[6,8,1,4,7,2,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[6,1,8,2,5,3,7,4]=>[6,5,1,8,7,2,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[8,1,6,2,5,3,7,4]=>[8,1,6,5,2,7,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[8,1,6,2,7,3,5,4]=>[8,1,6,2,7,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[6,1,7,2,8,3,5,4]=>[6,1,7,8,5,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[6,1,7,2,5,3,8,4]=>[6,7,1,5,8,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[6,1,7,2,4,3,8,5]=>[6,7,1,8,4,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[5,1,6,2,4,3,8,7]=>[8,5,1,6,4,2,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[7,1,5,2,4,3,8,6]=>[7,8,1,5,2,4,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[7,1,6,2,8,3,5,4]=>[7,1,6,8,2,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,8,2,7,5,4,6,3]=>[8,1,7,5,4,2,6,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[1,8,2,7,4,3,5,6]=>[1,4,8,7,2,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[1,8,6,4,7,2,3,5]=>[1,4,6,8,2,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[1,8,4,2,6,3,5,7]=>[4,1,6,8,2,3,5,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[7,4,8,1,5,2,3,6]=>[1,4,2,7,8,5,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[7,5,8,3,2,4,1,6]=>[3,5,7,2,8,4,1,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[1,8,5,4,7,2,6,3]=>[5,4,8,7,1,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[1,8,5,4,2,6,7,3]=>[5,4,8,6,1,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[7,4,8,2,1,3,5,6]=>[2,4,1,7,3,8,5,6]=>[[1,3,5,6],[2,4,7,8]]=>[2,2,3,1]
[6,4,8,2,1,3,7,5]=>[6,2,8,4,1,7,3,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[7,3,8,1,5,6,2,4]=>[3,1,7,2,5,8,6,4]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[5,4,3,7,1,2,8,6]=>[7,1,5,4,3,8,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[6,5,4,3,7,1,8,2]=>[6,5,4,3,7,8,1,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[6,3,2,8,5,7,1,4]=>[3,6,2,8,1,5,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[6,5,4,3,8,2,7,1]=>[6,5,4,3,2,8,7,1]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[6,5,4,3,8,7,1,2]=>[1,8,6,5,4,3,7,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[6,5,8,3,1,7,4,2]=>[6,5,8,3,7,4,1,2]=>[[1,2],[3,4],[5,7],[6,8]]=>[3,3,2]
[6,4,2,8,5,1,3,7]=>[2,6,4,8,1,5,3,7]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[7,6,4,8,5,1,2,3]=>[1,2,7,6,8,4,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[7,2,8,6,1,5,3,4]=>[2,7,1,8,6,3,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[6,4,1,7,8,2,3,5]=>[1,4,6,2,7,3,8,5]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[4,2,1,6,7,3,5,8]=>[4,2,6,1,3,7,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[4,1,5,3,2,8,6,7]=>[4,8,5,3,1,2,6,7]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[3,1,6,2,8,7,4,5]=>[3,8,6,1,7,2,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[6,3,1,7,8,5,2,4]=>[3,6,7,1,8,2,5,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[6,5,4,1,7,8,3,2]=>[6,5,4,7,8,1,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[5,4,3,1,6,7,8,2]=>[5,4,3,6,1,7,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[3,6,7,1,2,5,8,4]=>[6,1,3,2,7,5,8,4]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[7,8,3,1,2,5,6,4]=>[7,1,3,2,8,5,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[7,8,1,3,2,4,6,5]=>[7,1,3,8,2,6,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[7,8,2,1,3,5,4,6]=>[2,7,1,5,8,3,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[6,2,8,3,1,7,4,5]=>[2,6,8,3,7,1,4,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[3,2,5,7,1,8,4,6]=>[5,3,2,1,7,8,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[5,1,2,7,3,6,4,8]=>[5,7,1,2,6,3,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[5,3,4,7,8,6,1,2]=>[1,7,3,5,4,8,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,5,4,6,8,7,1,2]=>[1,8,5,3,4,6,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[1,5,4,6,8,2,3,7]=>[1,5,4,2,6,3,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[5,1,3,7,2,6,8,4]=>[5,7,1,3,2,6,8,4]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[5,2,4,7,8,1,6,3]=>[5,2,4,7,1,8,6,3]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[4,2,5,7,6,1,8,3]=>[7,4,5,2,6,8,1,3]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[6,1,8,3,2,4,7,5]=>[6,3,8,1,7,2,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[4,5,1,8,6,2,3,7]=>[1,4,8,5,6,2,3,7]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[5,2,1,8,3,6,4,7]=>[5,2,8,6,1,3,4,7]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[3,4,2,1,8,7,5,6]=>[3,8,7,4,2,1,5,6]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[7,6,5,4,2,1,8,3]=>[7,6,5,4,8,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[7,6,5,4,8,1,3,2]=>[7,1,6,5,4,8,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[7,6,5,8,2,1,4,3]=>[7,2,6,5,8,4,1,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[8,5,4,3,2,1,7,6]=>[8,5,7,4,3,2,1,6]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[8,6,5,4,3,2,1,9,7]=>[8,9,6,5,4,3,2,1,7]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>[6,2,1]
[7,6,5,4,3,2,1,9,8]=>[9,7,6,5,4,3,2,1,8]=>[[1,8],[2],[3],[4],[5],[6],[7],[9]]=>[7,2]
[7,6,5,4,1,8,3,2]=>[7,6,5,4,8,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[7,6,5,8,4,1,3,2]=>[7,1,6,5,8,4,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[7,6,8,5,2,1,4,3]=>[7,2,6,8,5,4,1,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[8,7,4,3,2,1,6,5]=>[8,4,7,6,3,2,1,5]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[9,7,6,5,4,3,2,1,10,8]=>[9,10,7,6,5,4,3,2,1,8]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>[7,2,1]
[7,8,1,3,2,4,5,6]=>[1,3,2,7,4,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[7,8,4,1,5,2,3,6]=>[1,4,5,7,8,2,3,6]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[3,6,7,2,1,4,5,8]=>[3,2,1,6,7,4,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[2,5,3,6,1,4,7,8]=>[2,5,3,1,6,4,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[4,6,7,1,5,2,3,8]=>[1,4,6,2,7,5,3,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[3,2,5,6,1,4,7,8]=>[3,2,1,5,6,4,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[3,5,2,6,1,4,7,8]=>[3,2,5,1,6,4,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[3,5,4,6,7,8,1,2]=>[1,5,3,4,6,7,8,2]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[1,5,4,6,7,2,3,8]=>[1,5,4,2,6,7,3,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[5,1,3,6,2,4,7,8]=>[1,5,3,2,6,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[2,5,4,6,7,1,3,8]=>[2,5,1,4,6,7,3,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[2,6,7,4,5,1,3,8]=>[2,1,6,4,7,5,3,8]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[4,2,5,6,7,1,3,8]=>[2,4,1,5,6,7,3,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[5,3,1,6,2,4,7,8]=>[3,5,1,6,2,4,7,8]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[6,1,7,3,2,4,5,8]=>[3,1,6,7,2,4,5,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[6,1,7,4,5,2,3,8]=>[1,6,2,7,4,5,3,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[6,3,7,4,5,8,1,2]=>[1,3,6,7,4,5,8,2]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[5,4,1,6,7,2,3,8]=>[1,5,4,6,2,7,3,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[7,3,2,5,4,1,6,8]=>[3,7,5,2,4,1,6,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[7,3,5,2,4,1,6,8]=>[3,2,5,7,4,1,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[1,3,6,7,5,2,8,4]=>[6,7,3,1,5,8,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[7,3,4,1,5,6,2,8]=>[3,4,7,1,5,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[7,3,2,5,1,6,4,8]=>[7,3,2,5,6,1,4,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[7,6,5,4,1,3,2,8]=>[7,1,6,5,4,3,2,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[7,3,4,1,5,2,6,8]=>[3,4,5,7,1,2,6,8]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[1,7,4,6,2,8,5,3]=>[7,6,4,1,8,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[4,3,1,7,2,6,8,5]=>[7,4,3,1,6,2,8,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[5,6,1,4,7,3,8,2]=>[5,6,1,4,7,3,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[6,3,4,5,8,1,7,2]=>[3,4,6,5,8,1,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[2,4,5,1,6,8,7,3]=>[8,4,2,5,6,1,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[3,1,2,5,6,8,7,4]=>[8,5,1,3,2,6,7,4]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[4,3,2,5,6,8,1,7]=>[4,3,2,5,6,1,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[3,7,5,4,6,8,1,2]=>[1,5,7,3,4,6,8,2]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[3,1,4,6,5,8,2,7]=>[6,3,4,1,5,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[2,3,4,5,8,1,7,6]=>[8,2,3,4,5,1,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[3,7,5,4,6,8,2,1]=>[5,7,3,4,6,8,2,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[1,4,5,2,6,8,7,3]=>[8,4,5,1,6,2,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[3,7,5,2,6,8,1,4]=>[3,2,7,5,1,6,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[5,6,1,2,7,4,8,3]=>[5,6,1,7,4,2,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[7,1,5,2,6,8,4,3]=>[7,5,1,6,8,2,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[2,7,4,6,1,8,3,5]=>[2,7,4,1,6,8,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[2,7,4,6,1,8,5,3]=>[7,6,2,4,8,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[4,3,2,6,7,1,8,5]=>[6,4,3,2,7,8,1,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[7,3,2,5,6,8,1,4]=>[3,2,1,7,5,6,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[7,1,5,4,6,8,2,3]=>[1,7,2,5,4,6,8,3]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,2,1]
[7,3,4,5,8,1,6,2]=>[3,4,5,7,8,1,6,2]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[1,3,4,5,8,6,2,7]=>[3,8,1,4,5,6,2,7]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[6,3,4,5,8,2,1,7]=>[3,4,6,5,2,8,1,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[7,3,4,5,8,6,2,1]=>[7,3,4,8,5,6,2,1]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[2,7,4,6,5,8,3,1]=>[7,6,2,4,5,8,3,1]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[7,3,2,5,6,8,4,1]=>[7,3,2,5,6,8,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[5,7,4,6,1,8,3,2]=>[5,4,7,6,8,3,1,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[7,3,4,5,8,2,6,1]=>[3,4,5,7,2,8,6,1]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[4,8,6,1,7,5,2,3]=>[1,8,4,6,7,5,2,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[4,7,8,2,6,1,5,3]=>[4,7,2,1,8,6,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[8,4,6,1,7,5,3,2]=>[6,4,8,7,5,3,1,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[6,4,7,1,8,3,2,5]=>[4,6,3,7,8,1,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[7,8,4,3,6,2,5,1]=>[4,3,7,8,2,6,5,1]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[2,1,8,6,3,5,4,7]=>[2,8,6,5,1,3,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[2,6,3,1,4,8,5,7]=>[6,2,3,8,1,4,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[2,1,8,6,3,5,7,4]=>[6,2,8,5,1,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[6,2,1,7,3,5,8,4]=>[6,2,7,5,1,3,8,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[3,2,1,5,7,8,4,6]=>[5,3,2,1,4,7,8,6]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[2,1,7,3,6,8,4,5]=>[2,7,1,6,3,4,8,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[4,3,6,8,5,1,7,2]=>[6,4,3,5,8,7,1,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[2,6,1,8,3,5,7,4]=>[6,2,8,1,3,5,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[2,1,8,3,5,7,4,6]=>[2,8,1,5,3,4,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[3,2,1,5,7,4,6,8]=>[5,3,2,1,4,7,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[2,1,6,3,5,8,4,7]=>[6,2,5,1,3,4,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[8,2,4,1,7,5,6,3]=>[8,2,4,7,1,5,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[3,8,4,7,5,1,6,2]=>[3,8,4,7,5,6,1,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[8,2,1,7,3,5,4,6]=>[2,8,1,7,5,3,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[5,8,6,3,1,7,4,2]=>[5,8,6,7,3,4,1,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[2,4,7,1,8,5,3,6]=>[4,7,2,5,8,1,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[2,4,8,5,1,6,3,7]=>[2,8,4,5,6,1,3,7]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[6,2,1,7,3,4,8,5]=>[6,2,7,8,1,3,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[6,2,1,7,8,3,5,4]=>[6,2,7,8,1,3,5,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[2,7,1,8,3,5,6,4]=>[7,2,1,8,3,5,6,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[3,2,1,6,8,4,5,7]=>[3,6,2,1,4,5,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[2,1,8,3,7,4,5,6]=>[2,1,8,3,7,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[2,1,8,3,6,7,4,5]=>[2,8,1,3,6,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[3,2,1,8,4,5,6,7]=>[3,2,1,8,4,5,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[1,6,8,3,7,2,4,5]=>[3,1,6,2,4,8,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[3,8,1,5,7,2,4,6]=>[3,1,5,2,4,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[1,2,6,8,4,7,3,5]=>[4,6,1,2,3,8,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[4,1,2,7,8,3,6,5]=>[7,4,1,2,8,3,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[3,5,7,4,8,6,1,2]=>[1,7,5,3,8,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[5,3,8,4,7,6,1,2]=>[1,8,5,3,7,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[5,8,1,2,3,7,6,4]=>[8,5,1,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[1,2,8,4,3,5,7,6]=>[8,4,1,7,2,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[6,1,2,8,7,4,5,3]=>[8,1,6,7,2,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[7,1,6,2,8,4,5,3]=>[7,1,6,8,2,4,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[1,2,6,3,8,5,4,7]=>[6,5,8,1,2,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[1,2,8,5,3,6,4,7]=>[5,6,8,1,2,3,4,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[1,2,7,3,8,5,4,6]=>[5,7,8,1,2,3,4,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[4,1,2,7,8,6,3,5]=>[4,7,1,2,8,3,6,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[1,6,2,8,4,3,5,7]=>[4,6,1,8,2,3,5,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[1,6,4,2,7,3,5,8]=>[4,6,1,7,2,3,5,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[1,8,6,3,2,4,5,7]=>[3,1,6,8,2,4,5,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[1,7,3,2,8,4,5,6]=>[3,1,7,8,2,4,5,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[3,1,7,8,6,2,4,5]=>[3,1,7,2,8,4,6,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[1,8,7,2,4,5,6,3]=>[4,1,2,8,7,5,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[1,8,7,3,5,6,2,4]=>[3,1,2,8,7,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[1,3,2,8,7,4,5,6]=>[3,1,8,7,2,4,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[1,8,3,2,6,4,5,7]=>[3,1,8,6,2,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[1,7,6,3,2,4,5,8]=>[3,1,7,6,2,4,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[1,2,8,4,3,7,5,6]=>[4,8,1,7,2,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[5,3,8,7,4,6,1,2]=>[1,5,8,3,7,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[3,8,6,4,7,5,1,2]=>[1,6,8,7,3,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[6,1,8,2,7,4,5,3]=>[6,1,8,7,2,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[1,2,5,3,8,6,4,7]=>[5,8,6,1,2,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[1,2,7,5,3,6,4,8]=>[5,7,6,1,2,3,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[1,2,3,7,5,4,8,6]=>[7,8,5,1,2,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[3,7,4,8,6,5,1,2]=>[1,7,8,6,3,4,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[1,8,2,7,6,4,5,3]=>[8,1,7,6,2,4,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[2,8,7,6,5,1,4,3]=>[8,2,7,6,5,1,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[7,1,6,3,2,5,4,8]=>[7,1,6,5,3,2,4,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[7,4,1,3,5,2,6,8]=>[4,1,3,7,5,2,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[1,8,6,7,4,2,5,3]=>[8,1,6,4,7,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[3,6,2,1,4,8,5,7]=>[6,3,2,1,8,4,5,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[3,1,7,2,4,6,8,5]=>[7,3,1,2,6,4,8,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[3,6,7,4,1,5,8,2]=>[3,6,4,7,5,1,8,2]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[5,4,8,6,1,2,3,7]=>[1,2,5,8,4,6,3,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[5,6,8,7,4,3,1,2]=>[1,8,5,6,7,4,3,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[1,8,2,7,4,3,6,5]=>[8,1,7,6,4,2,3,5]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[6,5,8,2,3,7,1,4]=>[2,3,6,5,1,8,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[6,4,8,5,3,1,7,2]=>[6,4,8,5,3,7,1,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[5,7,8,6,1,3,2,4]=>[1,7,3,5,8,6,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[3,1,2,8,6,4,7,5]=>[6,8,7,1,3,2,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[5,3,2,6,4,8,1,7]=>[5,6,3,2,4,1,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[1,8,4,5,2,6,7,3]=>[4,1,8,5,6,2,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[4,1,2,7,6,5,8,3]=>[7,6,4,1,5,2,8,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[1,8,4,3,6,2,7,5]=>[8,4,3,6,1,7,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[5,3,2,1,4,8,6,7]=>[3,8,5,2,1,4,6,7]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[7,6,1,3,8,5,4,2]=>[7,6,8,1,5,3,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[3,6,7,8,1,4,5,2]=>[3,4,1,6,7,8,5,2]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[3,6,2,8,1,5,4,7]=>[6,3,2,1,8,5,4,7]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[1,8,5,2,4,6,3,7]=>[5,1,4,8,2,6,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[1,8,4,2,3,5,7,6]=>[8,1,4,2,7,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[6,3,4,8,2,5,7,1]=>[3,4,6,2,5,8,7,1]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[7,5,4,8,3,6,2,1]=>[5,7,4,3,8,6,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[7,3,2,5,8,4,6,1]=>[3,7,5,2,4,8,6,1]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[8,4,6,2,7,5,3,1]=>[6,4,8,7,5,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[2,5,7,8,4,1,3,6]=>[2,5,1,4,7,8,3,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[7,5,6,8,2,4,1,3]=>[2,1,5,7,6,8,4,3]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[3,5,6,8,4,2,1,7]=>[5,3,6,4,8,2,1,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[3,6,7,8,1,4,2,5]=>[3,1,6,4,7,8,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[3,5,7,8,2,1,4,6]=>[3,2,5,1,7,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[2,6,7,8,1,4,3,5]=>[2,6,1,4,7,8,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[2,4,7,3,8,1,5,6]=>[4,2,3,1,7,5,8,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[6,4,7,3,8,1,5,2]=>[4,6,3,7,8,1,5,2]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[6,4,7,3,8,1,2,5]=>[1,4,6,3,7,2,8,5]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[6,3,2,5,4,8,1,7]=>[6,3,5,2,4,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[6,4,5,2,3,8,1,7]=>[2,4,6,5,3,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[6,4,5,3,2,8,1,7]=>[4,6,5,3,2,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[5,4,7,3,8,1,6,2]=>[5,4,3,7,8,1,6,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[2,5,7,8,3,1,6,4]=>[5,7,2,3,8,6,1,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[4,5,7,8,3,1,2,6]=>[1,4,5,3,7,8,2,6]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[4,5,6,8,2,3,1,7]=>[2,4,5,6,3,8,1,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[5,4,6,2,8,3,1,7]=>[5,4,6,2,8,3,1,7]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[5,4,7,2,8,1,3,6]=>[2,5,4,1,7,3,8,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[4,5,7,8,2,1,3,6]=>[2,4,5,1,7,8,3,6]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[4,6,7,8,1,3,2,5]=>[4,1,3,6,7,8,2,5]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[2,6,7,8,1,5,3,4]=>[2,6,1,3,7,8,5,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[4,6,7,8,1,5,2,3]=>[1,4,6,2,7,8,5,3]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[4,6,7,8,1,2,5,3]=>[4,1,6,2,7,8,5,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[4,5,7,8,2,1,6,3]=>[4,5,7,2,8,6,1,3]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[5,4,7,2,8,1,6,3]=>[5,4,7,2,8,1,6,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[5,3,2,7,8,1,6,4]=>[5,7,3,2,1,8,6,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[4,3,2,7,8,1,6,5]=>[7,4,3,2,1,8,6,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[3,5,7,8,2,1,6,4]=>[5,3,7,2,8,6,1,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[3,6,7,8,1,2,5,4]=>[6,1,3,2,7,8,5,4]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[2,6,7,8,1,5,4,3]=>[6,7,2,1,8,5,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[3,4,5,6,7,8,9,1,2,10]=>[1,3,4,5,6,7,8,9,2,10]=>[[1,2,4,5,6,7,8,9,10],[3]]=>[3,7]
[3,4,5,6,7,1,8,2,9]=>[3,4,5,6,7,8,1,2,9]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[4,2,7,1,5,3,8,6]=>[7,4,8,2,1,5,3,6]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[3,2,6,7,5,1,4,8]=>[3,6,2,1,7,5,4,8]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[2,7,1,3,5,4,8,6]=>[7,8,2,1,3,5,4,6]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[3,1,4,8,2,6,7,5]=>[6,3,4,1,2,8,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[8,3,1,6,2,5,7,4]=>[6,3,1,8,5,2,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[4,8,6,2,1,5,7,3]=>[4,8,2,6,5,1,7,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[4,8,3,6,5,1,7,2]=>[4,8,3,6,5,7,1,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[6,4,7,3,5,1,8,2]=>[4,6,3,7,5,8,1,2]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[3,6,1,7,5,8,2,4]=>[3,6,1,7,5,2,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[7,3,5,1,6,8,2,4]=>[3,1,5,7,6,2,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[4,7,3,5,6,1,8,2]=>[4,3,5,7,6,8,1,2]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[3,4,6,8,5,1,7,2]=>[6,3,4,5,8,7,1,2]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[6,8,2,1,3,5,7,4]=>[6,2,1,8,3,5,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[4,7,5,2,6,1,3,8]=>[2,4,7,5,1,6,3,8]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[8,4,1,2,7,5,3,6]=>[4,8,1,5,7,2,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[4,5,6,2,7,1,3,8]=>[2,4,5,6,1,7,3,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[8,5,1,2,6,3,4,7]=>[1,5,2,6,8,3,4,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[1,6,2,7,4,8,3,5]=>[4,6,7,1,2,3,8,5]=>[[1,2,3,5],[4,6,7,8]]=>[4,2,2]
[6,2,1,7,8,5,3,4]=>[2,6,7,8,1,3,5,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[2,7,1,8,5,6,3,4]=>[2,7,1,8,3,5,6,4]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[8,2,4,5,1,6,7,3]=>[4,2,5,8,1,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[3,8,4,5,6,1,7,2]=>[3,4,5,8,6,7,1,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[4,5,8,3,6,7,1,2]=>[1,4,5,3,6,8,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[4,2,8,3,7,1,6,5]=>[8,4,2,3,7,1,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[7,2,3,4,8,1,6,5]=>[7,2,3,4,8,1,6,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[7,2,3,4,8,1,5,6]=>[2,3,4,1,7,5,8,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[7,6,3,4,8,5,1,2]=>[1,7,3,6,8,4,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[7,2,3,8,5,1,6,4]=>[7,2,8,3,5,6,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[2,6,4,8,1,5,7,3]=>[6,2,4,5,1,8,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[7,8,2,3,6,1,4,5]=>[2,3,1,4,7,8,6,5]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[7,8,2,3,6,1,5,4]=>[7,2,3,1,8,6,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[4,2,6,3,7,1,5,8]=>[4,2,6,3,1,7,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[2,6,4,8,1,3,7,5]=>[6,2,8,1,4,3,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[7,6,5,1,4,2,3,8]=>[1,7,2,6,5,4,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[7,6,5,1,2,4,3,8]=>[7,1,2,6,5,4,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[7,6,5,1,3,2,8,4]=>[7,6,1,5,8,3,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[7,6,5,1,3,2,4,8]=>[1,7,3,6,5,2,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[7,6,5,1,3,4,2,8]=>[3,1,7,6,5,4,2,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[7,2,3,4,5,1,8,6]=>[7,2,3,4,8,5,1,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[2,6,4,3,1,5,8,7]=>[8,4,6,2,3,1,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[3,5,8,4,1,2,7,6]=>[8,1,5,3,4,7,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[4,2,8,3,6,1,7,5]=>[8,4,2,3,6,7,1,5]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[3,5,8,4,1,6,7,2]=>[5,3,4,8,1,6,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[2,5,8,4,1,7,3,6]=>[5,4,2,1,8,7,3,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[3,6,4,2,1,7,5,8]=>[6,7,3,4,2,1,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[7,6,5,1,4,3,8,2]=>[7,6,1,5,4,3,8,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[7,6,5,1,2,8,3,4]=>[1,7,2,6,5,8,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[7,6,5,1,8,2,3,4]=>[1,2,7,6,5,8,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[2,5,6,4,1,7,8,3]=>[5,6,2,4,7,1,8,3]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[7,6,5,1,4,8,3,2]=>[7,6,1,5,4,8,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[7,6,5,1,8,3,4,2]=>[7,1,6,5,8,3,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[7,6,5,1,8,4,2,3]=>[1,7,6,5,8,4,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[4,1,7,6,2,8,5,3]=>[7,6,4,8,5,1,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[3,7,6,1,2,8,4,5]=>[1,7,3,6,2,8,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[4,6,1,5,3,2,8,7]=>[8,4,6,5,1,3,2,7]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[3,6,1,4,2,5,8,7]=>[8,3,1,6,4,2,5,7]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[2,6,4,5,7,8,1,3]=>[2,1,6,4,5,7,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[8,7,1,6,5,2,4,3]=>[8,1,7,6,2,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[6,1,3,4,2,8,7,5]=>[8,6,3,1,7,4,2,5]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[2,4,5,6,1,8,7,3]=>[8,4,2,5,6,7,1,3]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[8,4,1,6,5,7,3,2]=>[4,8,6,5,7,1,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[2,8,3,4,7,5,1,6]=>[2,8,3,4,7,5,1,6]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[4,8,6,1,7,3,2,5]=>[4,3,8,6,7,1,2,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[3,8,5,1,7,2,4,6]=>[3,1,5,8,2,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[6,8,7,1,3,2,4,5]=>[1,3,8,2,6,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[2,5,1,8,7,4,6,3]=>[5,8,7,2,1,4,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[3,7,1,8,4,5,6,2]=>[3,7,1,4,8,5,6,2]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[2,3,5,8,6,7,4,1]=>[8,2,5,3,6,7,4,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[4,6,7,2,5,8,3,1]=>[4,6,2,7,5,8,3,1]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[7,6,2,5,3,8,1,4]=>[2,7,3,6,5,1,8,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[6,2,1,3,4,8,7,5]=>[8,6,2,1,7,3,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[6,5,4,2,8,3,1,7]=>[6,5,4,2,8,3,1,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[5,4,3,1,8,7,2,6]=>[5,8,4,3,1,7,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[4,7,6,2,8,1,5,3]=>[4,7,6,2,8,1,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[6,4,5,1,7,8,3,2]=>[4,6,5,7,8,1,3,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[4,2,3,1,7,8,6,5]=>[7,8,2,4,3,1,6,5]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[6,4,5,8,3,1,2,7]=>[1,4,6,5,3,8,2,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[8,1,3,2,5,6,7,4]=>[8,1,3,2,5,6,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[3,6,8,1,5,2,4,7]=>[3,1,6,2,5,8,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[3,2,8,7,4,5,1,6]=>[3,2,8,7,4,5,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[2,1,4,8,7,5,3,6]=>[4,8,7,2,1,5,3,6]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[6,2,8,1,7,5,4,3]=>[6,8,7,5,2,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[2,6,5,4,8,1,3,7]=>[2,6,5,1,4,3,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[6,5,3,4,8,1,7,2]=>[3,6,5,4,8,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[4,2,8,1,5,3,6,7]=>[4,2,1,8,5,3,6,7]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[5,1,8,2,6,4,3,7]=>[5,6,8,1,4,2,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[7,4,8,6,2,1,3,5]=>[2,4,7,8,1,6,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[2,8,5,3,6,7,1,4]=>[2,5,3,8,1,6,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[7,8,5,6,4,1,3,2]=>[5,1,7,8,6,4,3,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[5,8,4,1,6,3,7,2]=>[5,4,6,8,3,1,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[3,8,1,4,5,6,2,7]=>[3,4,1,5,6,8,2,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[7,6,8,3,5,1,4,2]=>[3,7,1,6,8,5,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[7,8,6,3,5,1,4,2]=>[3,7,1,8,6,5,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[5,3,8,7,6,1,4,2]=>[3,8,7,5,6,1,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[6,7,4,2,5,3,1,8]=>[4,6,7,5,2,3,1,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[7,6,4,8,3,1,5,2]=>[4,7,6,3,8,5,1,2]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[7,4,2,5,6,3,1,8]=>[4,7,2,5,6,3,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[4,2,7,5,6,3,1,8]=>[4,7,5,2,6,3,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[3,7,2,5,6,4,1,8]=>[5,3,2,7,6,4,1,8]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[7,8,3,5,6,1,4,2]=>[3,5,1,7,8,6,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[1,6,8,5,2,7,4,3]=>[6,8,5,1,7,4,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[6,2,8,5,1,7,4,3]=>[6,8,5,2,7,4,1,3]=>[[1,3],[2,4],[5,7],[6,8]]=>[2,4,2]
[6,1,8,5,3,7,4,2]=>[6,5,8,7,3,1,4,2]=>[[1,2],[3,4],[5,7],[6,8]]=>[3,3,2]
[3,8,1,5,2,7,6,4]=>[8,7,3,1,5,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[8,2,1,5,3,7,6,4]=>[8,7,2,5,6,1,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[1,5,2,4,6,7,8,3]=>[5,1,4,2,6,7,8,3]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[4,1,5,3,6,7,8,2]=>[4,5,3,1,6,7,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[8,1,6,5,3,7,2,4]=>[1,6,8,5,3,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[3,2,6,4,1,7,8,5]=>[6,7,3,2,4,1,8,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[7,6,4,3,1,2,8,5]=>[7,1,6,8,4,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[8,6,3,5,1,7,2,4]=>[3,1,6,8,5,7,2,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[5,2,3,1,6,7,8,4]=>[5,2,6,3,1,7,8,4]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[1,5,3,2,6,7,8,4]=>[5,6,3,1,2,7,8,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[8,4,6,5,1,7,2,3]=>[1,4,8,6,5,7,2,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[3,2,5,6,1,7,8,4]=>[5,3,2,6,7,1,8,4]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[3,2,8,7,6,1,4,5]=>[3,2,8,7,1,4,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[8,2,7,5,6,1,3,4]=>[2,1,3,8,5,7,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[1,7,4,6,2,3,8,5]=>[7,1,6,2,4,8,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[7,6,4,2,1,5,8,3]=>[4,7,6,5,2,1,8,3]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[3,5,4,2,7,1,8,6]=>[7,5,3,4,2,8,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[8,6,4,1,3,5,2,7]=>[4,1,6,8,3,5,2,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[6,7,4,1,5,3,8,2]=>[4,6,7,5,3,1,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[1,7,4,2,3,6,8,5]=>[7,1,4,6,2,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[1,8,2,5,3,7,6,4]=>[8,7,1,5,6,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[8,2,1,5,6,4,3,7]=>[5,8,2,1,6,4,3,7]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[3,8,1,5,6,4,2,7]=>[5,3,1,8,6,4,2,7]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[6,8,4,1,2,5,3,7]=>[4,1,6,5,8,2,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[3,5,1,4,6,7,8,2]=>[3,5,1,4,6,7,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[5,2,1,4,6,7,8,3]=>[5,2,4,1,6,7,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[3,2,5,1,4,7,8,6]=>[7,3,2,1,5,4,8,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[7,1,4,3,5,2,8,6]=>[7,8,1,4,3,5,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[8,1,3,5,4,7,2,6]=>[1,8,3,5,4,2,7,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[5,1,3,4,6,7,8,2]=>[3,1,5,4,6,7,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[2,8,1,6,4,3,7,5]=>[6,8,7,2,1,4,3,5]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[2,5,7,1,3,8,6,4]=>[7,5,2,1,8,6,3,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[2,6,8,1,5,7,4,3]=>[6,5,2,1,8,7,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>[2,4,2]
[2,7,1,6,4,8,3,5]=>[2,7,6,1,4,3,8,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[2,8,1,7,6,5,4,3]=>[8,7,6,5,2,1,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[8,3,2,7,1,6,5,4]=>[8,7,3,2,6,1,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[4,1,8,7,3,2,6,5]=>[8,4,7,3,6,1,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[3,7,5,1,4,6,8,2]=>[3,7,1,5,4,6,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[3,6,8,5,1,4,7,2]=>[3,6,5,1,8,4,7,2]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[7,3,5,8,2,1,4,6]=>[3,2,5,7,1,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[7,3,6,2,1,4,5,8]=>[3,2,1,7,6,4,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[7,4,2,8,1,6,5,3]=>[7,4,8,6,2,1,5,3]=>[[1,3],[2,5],[4,6],[7,8]]=>[2,2,3,1]
[8,7,5,3,2,1,6,4]=>[5,8,7,6,3,2,1,4]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[7,5,2,6,3,1,4,8]=>[2,5,7,6,3,1,4,8]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[7,4,6,2,1,8,3,5]=>[4,2,7,6,8,1,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[4,6,8,5,1,7,3,2]=>[6,4,5,8,7,3,1,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[4,7,5,1,3,8,6,2]=>[7,8,1,4,5,3,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[5,1,8,7,6,4,3,2]=>[8,7,5,6,4,3,1,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[8,5,2,1,7,6,4,3]=>[8,5,7,6,4,2,1,3]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[8,5,2,1,6,3,7,4]=>[5,6,8,7,2,1,3,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[5,1,8,6,3,2,7,4]=>[5,8,6,7,3,1,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[3,6,1,7,4,8,2,5]=>[3,6,4,7,1,2,8,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[8,4,2,5,7,3,1,6]=>[4,2,8,5,3,7,1,6]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[3,4,6,8,5,7,1,2]=>[1,6,3,4,5,8,7,2]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[5,4,8,7,3,6,1,2]=>[1,5,8,4,3,7,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[6,4,3,8,7,1,2,5]=>[1,4,8,6,3,2,7,5]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[6,3,7,2,4,8,1,5]=>[3,2,6,4,7,1,8,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[5,7,4,3,8,6,1,2]=>[1,7,5,8,4,3,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[7,5,8,4,6,3,2,1]=>[5,7,4,8,6,3,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[7,6,4,8,3,5,2,1]=>[4,7,6,3,8,5,2,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[6,5,4,3,2,1,8,7,9]=>[8,6,5,4,3,2,1,7,9]=>[[1,7,9],[2],[3],[4],[5],[6],[8]]=>[6,2,1]
[7,6,5,4,3,2,1,9,8,10]=>[9,7,6,5,4,3,2,1,8,10]=>[[1,8,10],[2],[3],[4],[5],[6],[7],[9]]=>[7,2,1]
[5,6,3,7,4,2,1,8]=>[5,6,7,3,4,2,1,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[7,6,3,8,5,1,4,2]=>[3,7,6,8,5,1,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[4,2,7,6,5,3,1,8]=>[7,6,4,5,2,3,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[1,6,8,4,2,5,3,7]=>[6,1,4,8,5,2,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[6,7,4,8,5,1,2,3]=>[1,2,6,7,8,4,5,3]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[3,2,8,1,5,4,6,7]=>[3,2,8,1,5,4,6,7]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[6,1,4,8,5,3,7,2]=>[6,8,1,4,5,3,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[6,1,8,4,3,7,2,5]=>[4,6,3,8,1,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[3,7,1,4,2,5,8,6]=>[7,3,1,8,4,2,5,6]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[6,1,8,5,3,2,7,4]=>[6,5,8,7,3,1,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[7,1,4,6,3,8,5,2]=>[7,4,6,1,8,3,5,2]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[3,2,6,4,1,8,7,5]=>[8,6,7,3,2,4,1,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[7,6,4,3,1,8,2,5]=>[4,7,6,3,1,8,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[1,5,3,2,8,6,4,7]=>[5,8,6,3,1,2,4,7]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[8,2,7,6,5,1,3,4]=>[2,1,8,7,3,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[8,6,2,7,1,4,5,3]=>[6,2,1,8,4,7,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[1,7,3,6,2,8,5,4]=>[7,6,8,1,3,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[7,6,3,2,1,8,5,4]=>[7,6,8,5,3,2,1,4]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[8,6,3,7,4,1,2,5]=>[1,3,6,8,7,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[5,2,3,4,7,1,8,6]=>[7,2,3,5,4,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[8,1,3,2,4,5,6,7]=>[1,3,2,4,8,5,6,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[8,4,1,7,2,3,6,5]=>[8,1,4,2,7,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,2,1,6,5,4,7,3]=>[6,8,5,2,4,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[8,6,1,5,4,7,3,2]=>[8,6,1,5,4,7,3,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[3,5,1,4,6,7,2,8]=>[3,5,1,4,6,7,2,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[4,5,8,2,1,3,7,6]=>[8,2,4,5,1,7,3,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[5,8,2,3,1,4,6,7]=>[2,3,5,1,4,8,6,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[4,2,1,3,5,8,7,6]=>[8,7,2,4,1,3,5,6]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[3,2,5,1,4,6,8,7]=>[8,3,2,1,5,4,6,7]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[8,1,4,3,5,6,7,2]=>[4,1,3,8,5,6,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[7,1,3,5,4,6,2,8]=>[7,1,3,5,4,6,2,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[4,1,3,2,5,7,6,8]=>[7,4,1,3,2,5,6,8]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[6,8,2,4,5,1,3,7]=>[2,1,4,6,5,8,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,1,8,2,3,4,7,5]=>[6,1,2,8,3,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[5,3,8,4,2,6,7,1]=>[5,3,4,8,2,6,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[5,1,8,4,6,3,7,2]=>[5,8,1,4,6,3,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[4,1,8,3,5,7,2,6]=>[4,3,1,5,8,2,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[3,4,7,2,6,1,8,5]=>[7,3,4,2,6,8,1,5]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[2,6,3,4,7,5,8,1]=>[6,2,7,3,4,5,8,1]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[4,5,2,7,1,6,8,3]=>[4,5,7,2,1,6,8,3]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[4,1,2,8,5,7,3,6]=>[1,8,4,5,2,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[5,1,4,8,6,2,7,3]=>[5,8,4,1,6,7,2,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[7,3,4,1,8,5,2,6]=>[3,7,4,8,5,1,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[7,2,4,8,1,5,3,6]=>[4,2,1,7,8,5,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[2,6,3,7,5,1,4,8]=>[2,6,7,3,1,5,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[1,5,3,7,8,2,4,6]=>[3,5,1,2,4,7,8,6]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[4,6,3,1,7,8,5,2]=>[6,4,7,3,8,1,5,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[5,3,1,6,7,8,4,2]=>[5,6,3,7,1,8,4,2]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[4,1,6,2,7,8,5,3]=>[6,4,7,8,1,2,5,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[2,1,3,4,8,7,5,6]=>[2,8,7,1,3,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[4,5,6,7,8,9,2,3,1]=>[2,4,5,6,7,8,9,3,1]=>[[1,3,5,6,7,8,9],[2],[4]]=>[2,2,5]
[5,6,7,8,9,3,4,2,1]=>[3,5,6,7,8,9,4,2,1]=>[[1,4,6,7,8,9],[2],[3],[5]]=>[3,2,4]
[4,5,6,7,8,9,10,1,2,3]=>[1,2,4,5,6,7,8,9,10,3]=>[[1,2,3,5,6,7,8,9,10],[4]]=>[4,6]
[4,5,6,7,8,9,10,2,3,1]=>[2,4,5,6,7,8,9,10,3,1]=>[[1,3,5,6,7,8,9,10],[2],[4]]=>[2,2,6]
[5,6,7,8,9,10,1,2,3,4]=>[1,2,3,5,6,7,8,9,10,4]=>[[1,2,3,4,6,7,8,9,10],[5]]=>[5,5]
[4,8,3,7,6,5,1,2]=>[1,8,7,4,3,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[6,3,8,7,5,4,1,2]=>[1,8,6,7,5,3,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[5,3,8,7,6,4,1,2]=>[1,8,7,5,6,3,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[2,8,7,6,1,5,4,3]=>[8,7,2,6,5,1,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[5,2,8,7,6,1,4,3]=>[8,2,7,5,6,1,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[7,8,2,6,5,1,4,3]=>[7,2,8,1,6,5,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[6,1,8,7,5,4,3,2]=>[8,6,7,5,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[3,1,8,7,6,5,4,2]=>[8,7,6,5,3,4,1,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[7,8,2,6,1,5,4,3]=>[7,8,2,1,6,5,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[6,2,8,7,1,5,4,3]=>[8,6,2,7,5,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[4,2,8,1,7,6,5,3]=>[8,7,4,6,2,1,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[4,8,2,7,6,1,5,3]=>[4,8,7,2,1,6,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[3,8,7,2,1,6,5,4]=>[8,7,3,6,2,5,1,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[4,8,1,7,6,5,3,2]=>[8,7,4,6,5,1,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[5,4,1,8,7,6,3,2]=>[8,7,5,4,6,3,1,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[6,4,8,1,7,5,3,2]=>[6,8,4,7,5,1,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[7,8,4,1,6,5,3,2]=>[7,4,8,6,5,3,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[7,8,3,1,6,5,4,2]=>[7,8,3,6,5,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[6,3,8,1,7,5,4,2]=>[6,8,7,3,5,1,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[5,3,1,8,7,6,4,2]=>[8,7,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[6,5,3,1,8,7,4,2]=>[8,6,5,7,3,4,1,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[7,5,2,1,8,6,4,3]=>[7,8,5,6,4,2,1,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[7,3,2,1,8,6,5,4]=>[7,8,6,5,3,2,1,4]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[6,3,2,1,8,7,5,4]=>[8,6,7,5,3,2,1,4]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[9,7,5,3,1,10,8,6,4,2]=>[9,10,7,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>[3,2,2,2,1]
[8,6,1,4,2,3,5,7]=>[1,2,4,8,6,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[6,8,1,4,2,3,5,7]=>[1,2,6,4,3,8,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[8,1,4,2,3,6,5,7]=>[1,8,2,6,4,3,5,7]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[4,1,8,2,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[4,6,2,3,8,1,5,7]=>[2,4,3,6,1,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[4,8,2,3,6,1,5,7]=>[2,4,3,1,6,8,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[2,6,4,3,8,1,5,7]=>[4,6,2,3,1,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[2,8,4,3,6,1,5,7]=>[4,2,3,8,1,6,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[2,6,3,8,4,1,5,7]=>[2,6,3,8,4,1,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[6,3,8,4,2,1,5,7]=>[3,6,4,8,2,1,5,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[2,6,3,8,1,4,5,7]=>[2,3,6,1,4,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[8,3,6,4,2,1,5,7]=>[3,4,8,6,2,1,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[2,8,3,6,4,1,5,7]=>[2,3,8,6,4,1,5,7]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[8,3,6,2,4,1,5,7]=>[3,2,4,6,8,1,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[8,3,6,2,1,4,5,7]=>[3,2,1,6,8,4,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[6,2,1,3,8,4,5,7]=>[2,6,1,3,8,4,5,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[8,2,1,3,6,4,5,7]=>[2,1,8,3,6,4,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[6,3,8,2,4,1,5,7]=>[3,2,6,4,1,8,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[6,2,4,3,8,1,5,7]=>[2,6,4,3,1,5,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[3,6,4,7,8,5,1,2]=>[1,6,7,3,4,8,5,2]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[1,6,4,2,7,5,8,3]=>[6,7,4,5,1,2,8,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[3,6,4,2,7,1,5,8]=>[3,6,4,2,1,7,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[1,4,7,2,5,6,8,3]=>[4,5,1,2,7,6,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[6,4,8,5,3,7,1,2]=>[1,6,4,8,5,3,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[1,6,5,4,2,7,8,3]=>[6,5,4,7,1,2,8,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[7,8,1,4,2,5,6,3]=>[4,1,7,8,2,5,6,3]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[4,8,5,3,1,6,2,7]=>[4,5,8,3,6,1,2,7]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[1,2,8,5,7,3,6,4]=>[8,1,5,7,2,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[7,1,2,4,5,8,6,3]=>[7,4,1,2,8,5,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[4,6,2,1,7,5,3,8]=>[6,4,7,5,2,1,3,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[4,6,3,7,1,2,8,5]=>[6,1,4,7,3,8,2,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[7,3,2,4,5,1,8,6]=>[7,3,2,8,4,5,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[7,8,4,2,6,3,1,5]=>[4,2,7,8,6,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[4,2,6,3,8,7,1,5]=>[4,8,2,6,3,1,7,5]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[4,3,6,8,1,2,7,5]=>[6,1,4,3,8,2,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[6,4,3,5,2,8,1,7]=>[4,6,3,5,2,1,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[6,1,7,2,8,3,9,4,10,5]=>[6,7,8,9,10,1,2,3,4,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[6,7,1,8,2,9,3,4,10,5]=>[6,1,7,8,9,10,2,3,4,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[6,7,1,8,2,9,3,10,4,5]=>[1,6,7,8,9,10,2,3,4,5]=>[[1,2,3,4,5,10],[6,7,8,9]]=>[6,4]
[7,1,8,2,9,3,10,4,11,5,12,6]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[8,2,5,7,3,6,4,1]=>[5,8,2,3,7,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[1,8,6,7,5,3,4,2]=>[8,1,6,3,7,5,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[1,5,8,7,2,6,4,3]=>[5,8,7,6,1,2,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[5,4,8,6,2,3,7,1]=>[2,5,8,4,6,3,7,1]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[2,7,6,1,3,5,4,8]=>[7,2,1,6,3,5,4,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[6,4,1,8,2,5,7,3]=>[4,6,8,1,2,5,7,3]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[4,1,3,6,5,8,7,2]=>[8,6,4,1,3,5,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[2,1,6,3,5,8,7,4]=>[8,6,2,5,1,3,7,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[2,4,1,3,5,8,7,6]=>[8,7,2,1,4,3,5,6]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[2,6,1,3,5,8,7,4]=>[8,6,2,1,3,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[4,6,1,3,5,8,7,2]=>[8,4,1,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[6,1,4,3,5,8,7,2]=>[8,6,1,4,3,5,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[6,4,1,3,5,8,7,2]=>[8,4,1,6,3,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[4,2,1,3,6,5,7,8]=>[6,2,4,1,3,5,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[4,2,1,6,3,5,7,8]=>[4,2,6,1,3,5,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[6,2,1,8,3,5,7,4]=>[6,2,8,1,5,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[6,2,1,3,8,5,7,4]=>[6,8,2,1,5,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[6,1,4,3,8,5,7,2]=>[6,8,1,4,3,5,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[8,1,4,3,6,5,7,2]=>[8,1,6,4,3,5,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[8,4,1,3,6,5,7,2]=>[8,1,4,6,3,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[8,2,1,3,6,5,7,4]=>[8,2,6,1,5,3,7,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[8,2,1,4,3,5,7,6]=>[8,2,4,7,1,3,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[6,2,1,4,3,5,7,8]=>[2,6,4,1,3,5,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[8,2,4,1,3,5,7,6]=>[8,2,1,4,3,7,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[8,2,6,1,3,5,7,4]=>[6,2,1,3,8,5,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[8,4,6,1,3,5,7,2]=>[4,1,3,6,8,5,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[8,4,1,6,3,5,7,2]=>[4,6,1,8,3,5,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[8,1,4,6,3,5,7,2]=>[4,3,1,6,8,5,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[1,8,4,6,3,5,7,2]=>[4,1,8,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[1,6,4,8,3,5,7,2]=>[4,6,3,1,5,8,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[6,4,1,8,3,5,7,2]=>[4,6,3,1,8,5,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[6,4,8,1,3,5,7,2]=>[4,1,6,3,5,8,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[6,2,8,1,3,5,7,4]=>[6,2,1,5,3,8,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[4,2,8,1,3,5,7,6]=>[8,2,4,1,3,5,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[2,6,8,1,3,5,7,4]=>[6,2,1,3,5,8,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[4,6,8,1,3,5,7,2]=>[4,1,3,6,5,8,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[4,6,1,8,3,5,7,2]=>[4,6,1,3,8,5,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[4,1,6,8,3,5,7,2]=>[4,6,1,3,5,8,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[4,6,1,3,8,5,7,2]=>[6,4,1,3,8,5,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[2,4,1,8,3,5,7,6]=>[8,4,2,1,3,7,5,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[2,1,6,8,3,5,7,4]=>[6,2,5,1,3,8,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[4,1,3,6,8,5,7,2]=>[6,4,1,3,5,8,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[1,4,3,6,8,5,7,2]=>[6,4,3,1,5,8,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[4,1,3,8,6,5,7,2]=>[6,8,4,1,3,5,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[2,1,6,4,3,5,7,8]=>[4,6,2,1,3,5,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[2,6,1,4,3,5,7,8]=>[2,6,1,4,3,5,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[2,8,1,4,3,5,7,6]=>[8,2,1,7,4,3,5,6]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[2,8,1,6,3,5,7,4]=>[8,2,1,6,3,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[4,8,1,3,6,5,7,2]=>[8,1,4,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[1,4,8,3,6,5,7,2]=>[4,8,3,1,6,5,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[1,4,8,6,3,5,7,2]=>[4,8,1,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[4,1,8,6,3,5,7,2]=>[4,8,1,6,3,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[4,8,1,6,3,5,7,2]=>[4,3,1,8,6,5,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[4,8,6,1,3,5,7,2]=>[4,1,3,8,6,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[2,8,6,1,3,5,7,4]=>[8,2,1,3,6,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[2,8,4,1,3,5,7,6]=>[8,2,1,4,7,3,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[2,6,4,1,3,5,7,8]=>[2,1,6,4,3,5,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[4,6,2,1,3,5,7,8]=>[2,4,1,6,3,5,7,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[6,8,1,4,3,5,7,2]=>[6,1,4,3,8,5,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[6,1,8,4,3,5,7,2]=>[4,6,8,1,3,5,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[1,6,8,4,3,5,7,2]=>[6,1,4,8,3,5,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[1,8,6,4,3,5,7,2]=>[4,6,8,3,1,5,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[8,1,6,4,3,5,7,2]=>[6,1,8,4,3,5,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[8,6,1,4,3,5,7,2]=>[4,1,8,6,3,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[8,6,4,1,3,5,7,2]=>[4,1,6,8,3,5,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[8,6,2,1,3,5,7,4]=>[6,2,1,8,5,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[8,4,2,1,3,5,7,6]=>[8,2,4,1,7,3,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[7,8,6,5,2,1,4,3]=>[7,2,8,6,5,4,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[5,7,4,1,8,6,3,2]=>[7,5,8,4,6,3,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[5,6,4,2,8,3,7,1]=>[5,6,4,2,8,3,7,1]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[5,6,4,2,7,3,1,8]=>[5,6,4,7,2,3,1,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,7,1,4,6,3,2,8]=>[5,4,1,7,6,3,2,8]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[3,6,7,4,5,8,2,1]=>[3,6,4,7,5,8,2,1]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[6,8,4,1,7,2,5,3]=>[4,6,8,1,7,5,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[5,4,6,1,7,8,3,2]=>[5,4,6,7,8,1,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[5,6,4,1,8,7,3,2]=>[8,5,6,4,7,3,1,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[3,7,8,4,5,6,2,1]=>[3,4,7,5,8,6,2,1]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[6,8,1,4,5,3,7,2]=>[4,6,1,5,8,3,7,2]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[6,7,1,4,5,3,2,8]=>[4,6,1,7,5,3,2,8]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[3,8,1,5,4,6,7,2]=>[3,8,1,5,4,6,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[5,6,4,2,7,3,8,1]=>[5,6,4,7,2,3,8,1]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,4,7,2,8,3,6,1]=>[5,4,2,7,8,3,6,1]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[5,6,4,2,8,3,1,7]=>[5,6,4,2,8,3,1,7]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[3,6,1,5,4,8,2,7]=>[6,3,5,1,4,2,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[3,4,1,2,7,6,5,8]=>[7,6,1,3,4,2,5,8]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[6,8,3,1,4,7,2,5]=>[3,1,6,8,4,2,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[3,8,1,5,4,7,2,6]=>[3,5,8,1,4,2,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[6,7,3,1,4,2,5,8]=>[3,4,6,7,1,2,5,8]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[6,8,3,1,4,2,7,5]=>[6,3,8,4,7,1,2,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[7,8,3,1,4,6,2,5]=>[3,1,7,4,8,2,6,5]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[7,8,4,2,6,5,1,3]=>[2,7,4,8,6,1,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[7,8,3,1,4,6,5,2]=>[7,3,8,1,6,4,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[3,8,1,5,4,2,7,6]=>[8,3,7,5,1,4,2,6]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[3,7,1,5,4,8,6,2]=>[7,8,3,5,1,4,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[7,3,8,1,4,5,6,2]=>[3,4,1,7,5,8,6,2]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[8,7,6,3,5,2,1,4]=>[3,2,8,7,6,5,1,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[8,7,4,6,3,2,1,5]=>[4,3,8,7,6,2,1,5]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[8,5,7,4,3,2,1,6]=>[5,4,8,7,3,2,1,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[9,8,7,6,5,4,1,3,2]=>[9,1,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[9]
[8,5,4,7,3,2,1,6]=>[5,4,8,3,7,2,1,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[8,7,3,6,5,2,1,4]=>[3,8,2,7,6,5,1,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[6,5,8,4,3,2,1,7]=>[6,5,4,8,3,2,1,7]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[5,8,7,4,3,2,1,6]=>[5,8,4,7,3,2,1,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[5,8,6,2,3,4,7,1]=>[2,3,5,8,6,4,7,1]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[4,3,7,8,6,5,1,2]=>[1,7,8,4,3,6,5,2]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[4,1,7,2,5,8,6,3]=>[7,4,8,1,5,2,6,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[1,6,2,5,8,4,3,7]=>[6,5,1,2,8,4,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[2,1,8,7,4,5,3,6]=>[2,8,4,7,1,5,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[7,3,1,6,8,5,2,4]=>[3,7,1,6,8,2,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[1,5,8,6,2,3,7,4]=>[5,1,8,6,2,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[2,4,8,3,1,6,5,7]=>[4,8,2,3,6,1,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[5,2,7,1,8,6,3,4]=>[2,7,5,8,1,6,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[6,5,2,8,1,7,3,4]=>[2,6,5,8,1,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[2,8,3,5,1,7,4,6]=>[2,8,3,5,1,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[5,4,3,8,7,1,6,2]=>[5,8,4,3,7,1,6,2]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,3]
[8,5,4,3,7,2,6,1]=>[5,4,8,3,2,7,6,1]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[8,3,7,4,2,6,5,1]=>[8,3,7,4,6,2,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[6,3,2,8,4,1,7,5]=>[6,8,3,7,2,4,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[2,8,4,3,1,7,6,5]=>[8,7,4,6,2,3,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[2,8,6,4,1,7,5,3]=>[6,8,7,4,2,5,1,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[8,3,7,5,2,6,4,1]=>[8,3,5,7,6,2,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[8,4,7,6,2,5,3,1]=>[4,8,7,2,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[4,8,7,6,1,5,3,2]=>[4,8,7,6,5,1,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[7,4,8,6,2,1,5,3]=>[4,7,8,6,2,5,1,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[7,3,8,5,2,1,6,4]=>[7,3,8,5,6,2,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[7,5,4,3,8,2,1,6]=>[5,7,4,3,2,8,1,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[3,7,8,4,1,2,6,5]=>[7,1,3,8,4,6,2,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[3,7,8,5,1,2,6,4]=>[7,1,3,5,8,6,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[4,7,8,6,1,2,5,3]=>[4,1,7,8,2,6,5,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[8,7,4,6,3,5,2,1]=>[4,3,8,7,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[7,6,4,8,3,2,1,5]=>[4,7,6,3,8,2,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[6,5,8,7,3,1,4,2]=>[3,8,6,5,7,4,1,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[6,4,8,7,3,1,5,2]=>[4,8,6,3,7,5,1,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[8,6,4,7,3,2,5,1]=>[4,6,8,3,7,2,5,1]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[8,3,4,7,2,5,6,1]=>[3,4,2,5,8,7,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[2,5,8,6,1,4,7,3]=>[8,2,1,5,6,4,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[8,4,6,7,2,3,5,1]=>[2,4,3,6,8,7,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[4,6,8,7,1,3,5,2]=>[4,1,8,3,6,7,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[2,6,8,5,1,3,7,4]=>[6,2,5,1,8,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[2,5,8,3,1,4,7,6]=>[8,2,5,3,1,7,4,6]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[2,3,5,4,1,8,6,7]=>[5,8,2,3,4,1,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[1,8,4,6,3,5,2,7]=>[1,8,4,3,6,5,2,7]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[5,4,8,6,2,1,3,7]=>[2,5,8,4,6,1,3,7]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[2,5,6,1,4,7,8,3]=>[5,2,1,6,4,7,8,3]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[1,8,7,6,3,2,4,5]=>[3,1,8,7,6,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[2,7,6,1,8,5,3,4]=>[2,7,6,8,1,5,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[7,3,5,8,4,1,2,6]=>[1,3,7,5,4,8,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,8,4,5,2,7,3,6]=>[1,8,4,5,2,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[2,7,6,4,8,5,1,3]=>[2,7,6,8,1,4,5,3]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[3,4,1,5,6,8,7,2]=>[8,3,4,5,1,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[3,7,1,6,8,5,2,4]=>[3,7,1,6,2,8,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[2,3,1,8,6,4,7,5]=>[6,8,7,2,3,1,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[1,8,4,3,6,2,5,7]=>[4,3,1,8,2,6,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[3,7,1,6,8,5,4,2]=>[7,6,3,8,1,5,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[6,3,5,4,7,2,1,8]=>[6,3,5,4,7,2,1,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[7,3,5,4,6,8,2,1]=>[3,7,5,4,6,8,2,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[2,7,6,4,8,5,3,1]=>[7,6,8,4,2,5,3,1]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[1,8,4,5,2,6,3,7]=>[1,8,4,5,6,2,3,7]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[7,3,5,8,4,6,2,1]=>[3,7,5,4,8,6,2,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[2,3,4,6,5,8,1,7]=>[6,2,3,4,5,1,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[2,3,4,7,5,1,8,6]=>[7,8,2,3,4,5,1,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[2,3,4,7,1,6,5,8]=>[7,2,3,4,1,6,5,8]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[2,3,4,7,1,6,8,5]=>[7,2,3,4,1,6,8,5]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[2,3,4,6,1,8,7,5]=>[8,6,2,3,4,7,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[6,3,5,8,4,2,7,1]=>[6,3,5,4,8,2,7,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[6,3,5,8,4,2,1,7]=>[6,3,5,4,8,2,1,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[5,2,8,4,6,3,7,1]=>[5,2,8,4,6,3,7,1]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[2,5,7,4,6,3,8,1]=>[5,4,2,7,6,3,8,1]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[5,4,1,7,8,3,2,6]=>[5,4,1,7,8,3,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[5,1,8,4,6,3,2,7]=>[5,4,8,1,6,3,2,7]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[8,1,6,4,5,3,2,7]=>[4,8,1,6,5,3,2,7]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[8,7,1,2,4,3,5,6]=>[1,2,8,4,3,7,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[1,7,6,2,4,3,5,8]=>[1,7,4,6,2,3,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[8,7,3,2,4,6,5,1]=>[8,3,2,7,6,4,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[8,2,6,3,4,5,7,1]=>[2,3,4,8,6,5,7,1]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[5,8,2,4,7,3,6,1]=>[5,2,4,3,8,7,6,1]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[6,8,3,2,4,7,5,1]=>[6,3,8,2,7,4,5,1]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[8,7,1,3,4,5,2,6]=>[3,1,4,5,8,7,2,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[8,1,6,3,4,5,2,7]=>[3,1,4,8,6,5,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[8,1,2,5,4,3,6,7]=>[5,1,8,2,4,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[3,8,7,2,5,4,6,1]=>[3,8,2,7,5,4,6,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[3,5,2,8,6,1,4,7]=>[3,2,8,5,1,6,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[3,7,2,5,1,4,8,6]=>[7,3,2,1,8,5,4,6]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[2,5,4,1,8,6,3,7]=>[5,8,4,2,6,1,3,7]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[8,2,3,6,1,4,7,5]=>[6,2,3,1,8,7,4,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[8,2,1,3,5,7,4,6]=>[2,8,1,3,5,4,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,2,6,3,1,4,7,5]=>[8,2,3,6,7,1,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[7,5,4,1,3,8,2,6]=>[1,7,5,4,3,2,8,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[2,7,5,8,3,4,1,6]=>[2,5,7,3,4,8,1,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[7,2,3,6,1,4,8,5]=>[7,2,3,1,6,8,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[1,3,7,2,5,8,4,6]=>[3,7,1,2,5,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[1,7,2,3,5,8,4,6]=>[1,7,2,5,3,4,8,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[7,4,8,1,3,6,2,5]=>[4,1,3,7,2,8,6,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[8,1,2,3,5,7,4,6]=>[5,1,2,3,4,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[7,1,2,3,5,8,4,6]=>[1,7,2,3,5,4,8,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[8,6,1,4,7,3,2,5]=>[1,6,8,4,3,7,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[2,6,3,8,1,4,7,5]=>[6,2,8,3,1,4,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[7,5,4,8,1,3,2,6]=>[1,7,5,4,3,8,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[8,5,4,7,1,3,2,6]=>[5,1,4,8,3,7,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[8,6,5,1,3,4,2,7]=>[3,1,6,8,5,4,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[3,4,7,6,1,8,5,2]=>[7,6,3,4,8,5,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[3,2,8,4,7,5,1,6]=>[3,8,2,7,4,5,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[3,8,1,6,5,2,7,4]=>[8,3,6,5,1,7,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[6,1,2,8,3,4,7,5]=>[6,1,8,2,3,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[6,8,4,2,5,1,7,3]=>[4,6,8,2,5,7,1,3]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[8,3,1,4,7,2,6,5]=>[8,3,1,7,4,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[2,8,3,6,4,7,1,5]=>[2,3,8,6,4,1,7,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[8,3,6,4,7,1,2,5]=>[1,3,4,8,6,2,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[1,2,8,3,5,7,4,6]=>[1,8,2,5,3,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[1,8,3,2,5,7,4,6]=>[3,8,1,5,2,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[5,6,1,7,3,4,2,8]=>[5,1,6,7,3,4,2,8]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[6,1,7,3,4,2,8,5]=>[6,7,1,8,3,4,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[7,3,8,1,6,5,2,4]=>[3,7,1,8,6,2,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[8,3,7,1,6,5,2,4]=>[3,8,1,7,2,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[5,1,7,4,2,8,6,3]=>[7,5,8,4,6,1,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[4,2,8,6,5,1,7,3]=>[6,8,4,5,2,7,1,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[8,6,4,7,1,5,2,3]=>[1,4,6,8,7,2,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[5,1,6,4,2,3,8,7]=>[8,1,5,6,4,2,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[4,2,3,8,7,5,1,6]=>[2,8,7,4,3,5,1,6]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[3,8,7,1,6,5,2,4]=>[3,8,1,7,6,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[2,4,3,8,1,6,7,5]=>[6,4,2,3,1,8,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[2,4,3,7,1,6,8,5]=>[7,4,2,3,1,6,8,5]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[4,2,3,7,8,5,1,6]=>[2,7,4,3,5,8,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[5,1,6,4,2,3,7,8]=>[1,5,6,4,2,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[3,2,4,7,8,1,5,6]=>[3,2,4,1,5,7,8,6]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[4,8,7,6,1,5,2,3]=>[1,4,8,7,6,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[5,1,6,7,4,2,3,8]=>[1,5,6,7,2,4,3,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[8,4,7,6,1,5,2,3]=>[1,4,8,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[8,3,2,4,7,1,5,6]=>[3,2,4,1,8,5,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[8,4,6,7,1,5,2,3]=>[1,4,6,2,8,7,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[7,4,6,8,1,5,2,3]=>[1,4,7,2,6,8,5,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[5,1,6,8,4,2,3,7]=>[1,5,6,2,8,4,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[2,4,7,1,5,8,6,3]=>[7,4,2,8,1,5,6,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[3,2,4,7,6,1,5,8]=>[3,7,2,4,1,6,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[8,6,7,5,1,4,2,3]=>[1,6,2,8,7,5,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[7,6,8,5,1,4,2,3]=>[1,7,2,6,8,5,4,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[6,8,7,5,1,4,2,3]=>[1,8,2,6,7,5,4,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[5,6,8,7,1,4,2,3]=>[1,8,2,5,6,7,4,3]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[4,6,8,7,1,5,2,3]=>[1,4,8,6,2,7,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[2,4,6,7,1,5,8,3]=>[4,2,6,1,7,5,8,3]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[3,2,4,6,1,5,7,8]=>[3,2,4,1,6,5,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[2,1,8,5,4,6,3,7]=>[5,4,8,2,1,6,3,7]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[8,2,7,1,5,3,4,6]=>[2,1,8,3,5,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[3,2,7,1,5,8,4,6]=>[3,7,2,1,5,4,8,6]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[6,3,7,1,5,4,2,8]=>[6,3,7,5,1,4,2,8]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[7,3,8,1,5,4,2,6]=>[3,7,5,8,1,4,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[4,5,1,3,6,8,2,7]=>[4,1,5,3,6,2,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[6,8,3,1,5,4,2,7]=>[6,3,5,8,4,1,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[3,6,2,1,5,8,4,7]=>[6,3,2,5,1,4,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[4,8,2,1,7,5,3,6]=>[4,8,2,7,5,1,3,6]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[7,1,3,2,8,6,4,5]=>[1,7,8,6,3,2,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[7,1,6,2,8,3,4,5]=>[1,2,7,6,3,8,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[4,7,1,2,6,3,8,5]=>[7,4,1,6,2,8,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[2,7,8,1,5,3,4,6]=>[2,1,7,3,5,8,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[4,7,2,1,8,5,3,6]=>[4,7,5,8,2,1,3,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[8,7,5,6,1,4,3,2]=>[5,8,1,7,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[5,7,8,6,1,4,3,2]=>[7,5,1,8,6,4,3,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[3,7,1,4,5,6,8,2]=>[3,4,1,5,7,6,8,2]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[7,1,6,4,5,8,3,2]=>[7,4,1,6,5,8,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[6,8,5,7,1,4,3,2]=>[6,5,1,8,7,4,3,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[8,5,7,6,1,4,3,2]=>[8,5,1,7,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[7,2,3,1,5,6,4,8]=>[7,2,3,1,5,6,4,8]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[7,5,1,6,3,4,8,2]=>[5,1,7,6,3,4,8,2]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[5,3,1,8,4,6,7,2]=>[5,3,8,1,4,6,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[8,3,1,5,4,6,7,2]=>[3,5,8,4,1,6,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[8,2,6,1,4,5,3,7]=>[4,2,1,6,8,5,3,7]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[7,2,6,1,5,3,4,8]=>[2,7,1,3,6,5,4,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[2,8,6,1,5,3,4,7]=>[2,1,8,6,3,5,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[4,2,1,5,6,3,8,7]=>[8,4,5,2,1,6,3,7]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[7,1,2,5,8,3,4,6]=>[1,2,7,3,5,4,8,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[7,6,8,5,1,4,3,2]=>[7,6,1,8,5,4,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[6,8,7,5,1,4,3,2]=>[8,6,1,7,5,4,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[3,5,1,7,4,6,8,2]=>[5,3,7,1,4,6,8,2]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[7,1,6,5,4,8,3,2]=>[7,6,5,4,1,8,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[7,8,6,5,1,4,3,2]=>[7,8,1,6,5,4,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[5,3,7,2,1,4,6,8]=>[3,5,2,1,7,4,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[5,3,7,2,8,4,1,6]=>[5,3,7,2,8,4,1,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[7,2,4,5,8,3,1,6]=>[4,2,5,7,3,8,1,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[1,6,4,5,2,8,7,3]=>[8,6,4,1,5,7,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[3,7,4,5,8,2,1,6]=>[3,4,7,5,2,8,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[8,7,4,5,2,1,6,3]=>[4,5,8,7,6,2,1,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[6,3,7,1,8,4,2,5]=>[3,6,7,4,8,1,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[5,7,4,1,6,3,2,8]=>[5,4,7,6,3,1,2,8]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[1,7,4,8,6,3,2,5]=>[4,7,8,1,6,3,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[5,7,4,8,6,3,1,2]=>[1,7,5,8,4,6,3,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[4,8,1,5,6,7,2,3]=>[1,4,5,2,6,8,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[4,1,3,5,6,7,2,8]=>[4,1,3,5,6,7,2,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[5,8,4,3,6,1,2,7]=>[1,5,4,3,8,6,2,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[1,4,8,3,6,7,5,2]=>[6,4,3,1,8,7,5,2]=>[[1,2],[3,5],[4,7],[6,8]]=>[4,2,2]
[4,3,8,2,1,7,5,6]=>[4,8,3,2,1,7,5,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[3,8,4,2,6,1,5,7]=>[3,4,2,8,1,6,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[3,8,1,5,6,7,4,2]=>[5,3,6,1,8,7,4,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[3,8,2,5,6,7,1,4]=>[3,2,1,5,6,8,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[7,8,4,3,6,2,1,5]=>[4,3,7,8,2,6,1,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[4,3,1,8,5,7,6,2]=>[8,4,7,3,5,1,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[4,3,1,6,8,7,5,2]=>[8,6,4,3,7,1,5,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[7,5,4,8,6,2,1,3]=>[2,7,8,5,4,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[7,1,4,8,6,2,3,5]=>[1,2,7,8,4,3,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[7,6,4,5,8,1,3,2]=>[4,1,7,6,5,8,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[8,3,5,2,1,7,4,6]=>[5,3,2,8,7,1,4,6]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[8,4,1,5,6,7,3,2]=>[4,5,8,1,6,7,3,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[4,1,8,5,6,7,3,2]=>[4,8,5,1,6,7,3,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[1,2,8,5,6,7,3,4]=>[1,8,2,3,5,6,7,4]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[4,2,1,5,6,7,3,8]=>[4,5,2,1,6,7,3,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[1,5,3,8,6,7,4,2]=>[5,8,6,3,1,7,4,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[1,4,5,8,6,7,3,2]=>[8,4,1,5,6,7,3,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[4,3,5,8,1,7,2,6]=>[4,3,5,1,8,2,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[3,5,4,8,6,1,2,7]=>[1,5,8,3,4,6,2,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[3,4,8,5,6,7,1,2]=>[1,3,4,8,5,6,7,2]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[2,7,1,5,6,3,4,8]=>[2,5,1,3,7,6,4,8]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[4,3,7,2,5,6,8,1]=>[4,3,2,5,7,6,8,1]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[2,6,3,1,4,5,8,7]=>[8,2,3,6,1,4,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[3,7,1,5,6,2,8,4]=>[5,3,7,1,6,8,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[8,4,2,6,3,7,1,5]=>[4,2,6,8,3,1,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[6,4,7,2,3,8,1,5]=>[2,4,6,3,7,1,8,5]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[6,5,7,2,8,3,1,4]=>[2,6,5,7,8,3,1,4]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[5,3,7,2,4,8,6,1]=>[7,3,5,2,8,4,6,1]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[2,6,5,1,8,3,4,7]=>[2,6,5,1,3,8,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[8,7,6,1,4,5,2,3]=>[1,4,2,8,7,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[8,7,6,1,3,2,5,4]=>[8,1,7,3,6,5,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[8,5,6,4,1,7,2,3]=>[1,5,6,8,4,7,2,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[8,5,6,3,1,2,7,4]=>[5,1,6,8,7,3,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[5,7,3,4,2,1,8,6]=>[7,3,5,8,4,2,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[6,7,4,2,3,1,8,5]=>[6,2,7,8,4,3,1,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[6,7,5,4,1,8,2,3]=>[1,6,7,5,4,8,2,3]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[7,3,5,4,1,8,6,2]=>[7,8,3,5,4,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[5,2,7,1,3,4,8,6]=>[7,2,1,5,3,8,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[2,6,5,7,3,1,8,4]=>[6,5,7,2,8,3,1,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[6,3,1,4,7,8,5,2]=>[6,3,7,4,1,8,5,2]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[6,3,2,4,7,5,8,1]=>[6,3,7,2,4,5,8,1]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[4,2,1,6,3,7,8,5]=>[6,4,7,2,1,3,8,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[7,4,3,5,8,6,1,2]=>[1,7,4,8,3,5,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[5,8,1,7,4,3,2,6]=>[5,4,8,7,1,3,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[3,7,8,6,2,1,4,5]=>[3,2,7,1,8,6,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[4,2,1,8,3,5,6,7]=>[4,2,1,3,8,5,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[4,2,1,3,6,7,5,8]=>[6,2,4,1,3,7,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[4,2,1,3,6,8,7,5]=>[8,6,2,4,1,3,7,5]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[7,3,2,4,8,6,5,1]=>[7,8,3,6,2,4,5,1]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[4,2,1,6,3,8,7,5]=>[8,6,4,7,2,1,3,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[3,6,7,5,2,1,4,8]=>[3,6,2,7,5,1,4,8]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[4,8,6,2,7,3,5,1]=>[4,2,8,6,7,3,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[3,6,7,5,2,4,8,1]=>[3,6,2,7,5,4,8,1]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[3,6,7,5,2,4,1,8]=>[3,6,2,7,5,4,1,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[4,2,1,7,3,6,5,8]=>[7,4,2,6,1,3,5,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[5,8,1,7,4,2,6,3]=>[5,8,1,7,4,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[4,2,1,3,8,6,7,5]=>[8,2,6,4,1,3,7,5]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[4,2,1,3,5,8,6,7]=>[2,8,4,1,3,5,6,7]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[4,8,1,7,3,6,5,2]=>[8,4,7,1,3,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[4,7,8,6,3,5,2,1]=>[4,7,3,8,6,5,2,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[4,2,1,8,3,7,6,5]=>[8,7,4,2,6,1,3,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[4,2,1,3,5,6,8,7]=>[8,2,4,1,3,5,6,7]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[2,6,1,5,4,7,8,3]=>[6,5,2,1,4,7,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[4,6,3,5,8,7,1,2]=>[1,8,4,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[7,4,6,5,2,8,1,3]=>[2,7,4,6,5,1,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[5,7,4,6,8,1,3,2]=>[5,1,4,7,6,8,3,2]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[8,1,5,7,4,6,3,2]=>[5,4,8,1,7,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[1,8,4,6,7,5,3,2]=>[8,4,6,1,7,5,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[8,1,4,5,6,7,3,2]=>[4,5,1,6,8,7,3,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[5,6,7,1,4,2,3,8]=>[1,5,2,6,7,4,3,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[4,8,5,2,1,6,7,3]=>[4,5,8,6,2,1,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[1,8,4,6,2,5,3,7]=>[1,8,4,6,2,5,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[6,1,5,2,3,4,7,8]=>[1,2,6,3,5,4,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[8,3,1,4,6,2,5,7]=>[3,1,4,8,2,6,5,7]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[3,5,1,8,2,6,4,7]=>[5,3,1,8,6,2,4,7]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[2,3,5,8,6,1,7,4]=>[8,2,5,3,6,7,1,4]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[7,3,1,5,6,2,4,8]=>[3,1,7,2,5,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,7,2,4,1,6,5,3]=>[8,4,2,7,6,5,1,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[1,8,7,2,3,6,5,4]=>[8,7,1,2,6,5,3,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[1,7,8,2,6,4,3,5]=>[1,7,8,2,6,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[1,2,7,3,6,4,5,8]=>[1,7,2,6,3,4,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[7,1,5,8,3,2,4,6]=>[1,5,7,3,2,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[1,8,3,7,2,5,4,6]=>[1,8,3,7,2,5,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[8,1,4,7,3,2,5,6]=>[4,1,3,8,2,7,5,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[7,1,4,2,3,5,6,8]=>[1,2,4,7,3,5,6,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[1,2,3,4,8,5,7,6]=>[8,1,7,2,3,4,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[2,4,7,5,6,8,3,1]=>[7,2,4,5,6,8,3,1]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[2,4,8,7,5,6,3,1]=>[8,2,7,4,5,6,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[2,5,3,8,4,7,6,1]=>[8,5,2,7,3,4,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[2,8,5,7,3,6,4,1]=>[8,2,5,7,3,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[2,8,6,3,4,5,7,1]=>[2,3,6,8,4,5,7,1]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[2,6,8,3,4,5,7,1]=>[2,3,6,4,5,8,7,1]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[2,5,7,3,4,8,6,1]=>[7,2,5,3,8,4,6,1]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[2,7,8,5,3,6,4,1]=>[7,2,8,5,6,3,4,1]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[2,7,6,3,4,8,5,1]=>[7,2,6,8,3,4,5,1]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[8,3,7,6,1,4,5,2]=>[3,8,1,4,7,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[4,8,1,7,2,3,6,5]=>[8,1,4,2,7,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[4,1,7,2,3,6,5,8]=>[7,1,4,2,6,3,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[3,1,7,8,2,5,6,4]=>[7,3,1,2,5,8,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[3,1,6,5,8,2,7,4]=>[6,5,3,8,1,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[7,3,6,1,4,8,5,2]=>[7,3,6,1,8,4,5,2]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[7,8,3,6,1,4,5,2]=>[3,4,1,7,8,6,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[7,5,1,2,3,4,8,6]=>[7,1,2,3,8,5,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[6,4,1,2,8,5,7,3]=>[6,4,1,8,5,2,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[6,7,3,1,4,8,5,2]=>[6,3,7,8,4,1,5,2]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[5,4,1,6,8,2,7,3]=>[5,4,6,8,1,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[5,4,7,1,2,8,6,3]=>[7,5,1,4,8,6,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[6,7,4,1,2,8,3,5]=>[1,6,4,7,2,8,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[6,5,1,2,3,7,8,4]=>[6,1,2,5,7,3,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[6,5,1,2,3,4,8,7]=>[8,1,2,3,6,5,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[8,6,5,1,2,3,7,4]=>[6,1,2,8,5,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[1,4,6,3,7,2,5,8]=>[4,1,6,3,2,7,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[8,2,3,4,5,1,7,6]=>[8,2,3,4,5,7,1,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[1,8,3,4,2,7,5,6]=>[1,8,3,7,4,2,5,6]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[8,1,3,6,2,4,7,5]=>[6,3,1,2,8,7,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[6,1,5,8,2,7,3,4]=>[1,6,5,2,8,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[4,5,2,8,1,6,7,3]=>[4,5,6,2,1,8,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[6,2,5,8,1,4,7,3]=>[6,2,1,5,4,8,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[8,2,7,1,4,6,5,3]=>[8,4,2,1,7,6,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[1,3,8,2,5,7,4,6]=>[5,3,1,2,4,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[2,8,7,1,6,4,5,3]=>[8,2,7,1,4,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[3,4,8,5,6,1,7,2]=>[3,4,8,5,6,7,1,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[8,3,7,4,1,6,5,2]=>[8,3,7,4,6,5,1,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[7,5,1,3,2,6,4,8]=>[7,1,5,6,3,2,4,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[4,5,7,1,2,6,3,8]=>[4,1,5,7,2,6,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[2,7,1,3,5,6,4,8]=>[5,2,1,3,7,6,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[8,6,1,2,4,3,7,5]=>[8,1,6,2,7,4,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[2,8,1,3,4,6,7,5]=>[6,2,1,3,4,8,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[1,2,6,7,5,3,8,4]=>[6,7,5,1,2,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[1,6,7,5,3,8,4,2]=>[6,7,5,8,1,3,4,2]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[1,6,5,7,2,3,8,4]=>[6,1,5,7,2,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[1,3,8,2,6,5,7,4]=>[8,3,6,1,2,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[1,2,5,7,6,3,4,8]=>[1,7,5,2,3,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[1,3,4,8,2,5,7,6]=>[8,3,1,4,2,5,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[1,5,7,6,2,3,4,8]=>[1,2,7,5,3,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[1,5,3,8,2,6,4,7]=>[5,3,8,1,2,6,4,7]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[1,4,8,3,2,5,7,6]=>[8,4,1,3,7,2,5,6]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[1,4,8,2,3,5,7,6]=>[8,1,4,2,3,5,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[6,5,7,3,8,2,4,1]=>[3,6,5,7,2,8,4,1]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[4,2,6,7,5,8,3,1]=>[6,4,7,2,5,8,3,1]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[6,7,5,2,1,8,4,3]=>[6,7,5,8,4,2,1,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[3,4,8,7,5,2,1,6]=>[3,8,7,4,5,2,1,6]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[1,7,5,2,8,4,6,3]=>[5,7,8,1,4,2,6,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[5,6,8,3,1,7,2,4]=>[3,5,6,1,8,7,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[6,1,4,8,3,2,7,5]=>[6,8,4,1,3,7,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[3,4,7,1,8,6,2,5]=>[3,7,4,1,8,6,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[3,8,2,5,6,1,4,7]=>[3,2,1,5,6,8,4,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[3,5,2,8,6,4,1,7]=>[5,8,3,6,2,4,1,7]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[4,2,5,7,3,8,6,1]=>[7,4,5,2,8,3,6,1]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[7,4,2,5,3,8,1,6]=>[4,5,7,2,3,1,8,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[5,2,1,6,8,3,4,7]=>[2,5,6,1,3,4,8,7]=>[[1,3,4,7],[2,5,6,8]]=>[2,3,3]
[5,2,6,8,4,1,3,7]=>[2,5,6,1,4,8,3,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[4,5,8,1,6,3,2,7]=>[4,5,6,8,1,3,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[4,5,7,3,8,2,6,1]=>[4,5,3,7,2,8,6,1]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[6,4,3,7,8,2,5,1]=>[4,6,3,2,7,8,5,1]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[6,4,3,1,7,8,2,5]=>[4,6,3,1,7,2,8,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[4,5,3,1,7,8,2,6]=>[4,5,3,1,7,2,8,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[7,1,3,5,4,8,2,6]=>[3,7,1,5,4,2,8,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[7,5,2,8,1,4,3,6]=>[2,7,5,1,8,4,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[5,7,3,8,4,6,1,2]=>[1,5,3,7,8,4,6,2]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[4,6,3,7,8,5,2,1]=>[6,4,7,3,8,5,2,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[5,3,6,7,8,4,2,1]=>[5,6,3,7,8,4,2,1]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[4,6,1,7,3,8,5,2]=>[6,4,7,8,3,1,5,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[6,3,7,1,8,4,5,2]=>[3,6,7,8,1,4,5,2]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[6,7,2,4,8,1,5,3]=>[4,2,6,7,8,1,5,3]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[3,2,5,6,7,8,1,4]=>[3,2,1,5,6,7,8,4]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[5,2,3,6,7,8,4,1]=>[5,2,6,3,7,8,4,1]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[6,2,7,1,3,4,8,5]=>[6,2,1,7,3,8,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[6,4,2,7,1,8,3,5]=>[4,6,2,7,1,8,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[4,2,6,3,7,8,1,5]=>[4,2,6,3,1,7,8,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[4,2,6,3,7,8,5,1]=>[6,4,7,2,3,8,5,1]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[3,6,2,7,4,1,8,5]=>[6,7,3,8,2,4,1,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[7,1,8,3,4,2,5,6]=>[1,3,7,4,8,2,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[7,2,4,8,6,1,3,5]=>[2,1,7,4,8,3,6,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[7,3,4,8,6,2,1,5]=>[3,7,4,8,2,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[3,5,7,2,1,8,6,4]=>[7,5,3,8,6,2,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[6,7,8,3,2,5,1,4]=>[3,2,6,7,8,1,5,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[6,3,7,8,2,5,4,1]=>[6,3,7,2,8,5,4,1]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[2,6,7,4,8,5,3,1]=>[6,7,8,2,4,5,3,1]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[6,2,4,7,1,8,5,3]=>[6,7,2,4,8,5,1,3]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[1,7,4,8,5,2,6,3]=>[4,7,8,5,1,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[1,3,7,8,5,2,6,4]=>[7,3,5,1,8,6,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[2,5,7,8,1,6,3,4]=>[2,5,1,7,3,8,6,4]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[6,3,7,1,8,2,5,4]=>[6,3,7,1,8,5,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[1,6,4,7,8,2,5,3]=>[4,6,7,1,2,8,5,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[2,5,6,1,7,8,4,3]=>[5,6,2,7,8,1,4,3]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[5,6,1,2,7,8,4,3]=>[5,6,1,7,8,2,4,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[6,7,2,1,8,5,3,4]=>[2,6,7,8,5,1,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[1,6,7,4,8,5,3,2]=>[6,7,8,4,1,5,3,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[1,8,2,4,6,3,5,7]=>[1,2,8,4,3,6,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[1,3,7,4,6,2,5,8]=>[1,7,3,4,2,6,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[1,5,7,4,3,6,2,8]=>[5,7,1,4,3,6,2,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[1,8,4,5,3,6,2,7]=>[1,8,4,5,3,6,2,7]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[1,8,5,3,4,7,2,6]=>[5,1,3,8,4,2,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[1,8,2,4,6,3,7,5]=>[8,1,6,2,4,7,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[3,6,2,7,1,4,5,8]=>[3,2,1,6,4,7,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[1,3,7,4,6,2,8,5]=>[7,6,1,3,4,8,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[4,5,2,7,1,3,8,6]=>[7,2,4,5,1,8,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[5,2,4,8,1,3,7,6]=>[8,2,1,5,4,3,7,6]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[6,4,3,5,8,2,7,1]=>[4,6,3,5,2,8,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[5,2,3,4,8,1,6,7]=>[2,3,5,4,1,6,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[3,5,2,4,7,1,6,8]=>[3,2,5,4,1,7,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[4,5,3,7,1,6,2,8]=>[4,5,3,7,1,6,2,8]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[7,6,3,8,5,1,2,4]=>[1,3,7,6,8,2,5,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[4,2,6,7,3,8,1,5]=>[4,2,6,3,7,1,8,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[1,5,7,4,2,8,6,3]=>[7,5,8,4,1,6,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[1,5,3,6,8,2,7,4]=>[5,6,3,1,8,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[4,2,3,5,6,8,1,7]=>[2,4,3,5,6,1,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[8,4,6,7,5,2,3,1]=>[2,6,4,8,7,5,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[6,4,2,5,8,7,3,1]=>[8,4,6,5,2,7,3,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[4,6,2,5,3,8,7,1]=>[8,4,6,2,5,3,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[4,6,5,2,3,8,7,1]=>[8,2,6,4,5,3,7,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[8,6,2,4,7,5,3,1]=>[6,8,2,7,4,5,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[2,8,4,6,7,5,3,1]=>[8,4,2,6,7,5,3,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[2,8,6,7,4,5,3,1]=>[8,2,4,6,7,5,3,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[2,6,4,5,8,7,3,1]=>[8,6,2,4,5,7,3,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[4,6,2,8,7,5,3,1]=>[8,6,4,7,5,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[8,2,4,6,7,5,3,1]=>[6,4,2,8,7,5,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[6,2,4,5,8,7,3,1]=>[8,4,2,6,5,7,3,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[6,4,5,2,8,7,3,1]=>[8,4,6,5,7,2,3,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[4,2,3,6,8,7,5,1]=>[8,6,2,4,3,7,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[2,6,8,7,4,5,3,1]=>[8,2,6,4,7,5,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[6,2,8,4,7,5,3,1]=>[6,8,7,2,4,5,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[8,2,6,4,7,5,3,1]=>[8,6,2,7,4,5,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[6,4,8,2,7,5,3,1]=>[6,8,4,7,2,5,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[4,6,8,2,7,5,3,1]=>[6,4,8,7,2,5,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[2,6,8,4,7,5,3,1]=>[6,8,4,2,7,5,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[4,6,5,8,2,7,3,1]=>[6,4,5,8,2,7,3,1]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[2,1,6,8,4,7,5,3]=>[6,8,4,2,1,7,5,3]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[2,8,6,4,7,5,3,1]=>[6,8,7,4,2,5,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[10,6,9,3,5,8,1,2,4,7]=>[1,3,2,6,5,4,10,9,8,7]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[6,2,5,7,4,8,3,1]=>[6,5,2,7,4,8,3,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[8,5,2,1,4,7,6,3]=>[8,5,2,7,4,1,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[6,7,3,2,5,8,4,1]=>[6,3,7,5,2,8,4,1]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[3,2,6,4,8,1,5,7]=>[3,6,2,4,1,5,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[2,3,6,4,7,8,5,1]=>[6,7,2,3,4,8,5,1]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[7,5,1,8,3,4,6,2]=>[5,1,7,3,8,4,6,2]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[5,7,8,2,6,3,4,1]=>[2,5,7,3,8,6,4,1]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[7,1,6,3,5,8,4,2]=>[7,6,1,3,5,8,4,2]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[6,3,1,7,8,4,5,2]=>[3,6,7,4,1,8,5,2]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[5,3,6,7,4,1,8,2]=>[5,6,3,7,4,8,1,2]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[3,4,8,2,7,5,1,6]=>[3,8,4,2,5,7,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[6,3,2,8,5,7,4,1]=>[6,8,3,5,2,7,4,1]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[3,8,4,7,2,5,6,1]=>[3,4,2,8,5,7,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[2,4,8,1,5,3,7,6]=>[8,4,2,1,7,5,3,6]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[3,4,8,1,6,2,7,5]=>[8,3,4,1,6,7,2,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[1,8,4,6,7,3,5,2]=>[4,3,1,8,6,7,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[8,1,6,3,4,5,7,2]=>[3,1,4,8,6,5,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[7,6,5,4,1,2,8,3]=>[7,1,6,5,4,8,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[5,7,6,8,3,4,2,1]=>[3,7,5,6,8,4,2,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[2,8,1,6,5,7,4,3]=>[8,6,2,5,1,7,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[5,2,3,7,6,1,8,4]=>[7,5,2,6,3,8,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[8,1,2,4,6,7,3,5]=>[4,1,2,3,6,8,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[5,2,3,7,4,8,6,1]=>[7,5,2,8,3,4,6,1]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[5,2,6,8,4,3,1,7]=>[5,6,2,8,4,3,1,7]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[7,8,1,5,4,3,6,2]=>[7,1,8,5,4,3,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[7,2,4,8,5,3,6,1]=>[2,7,8,4,5,3,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[3,7,5,1,8,4,6,2]=>[5,7,3,8,1,4,6,2]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[5,7,4,3,8,6,2,1]=>[7,5,8,4,3,6,2,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[8,3,1,7,4,2,5,6]=>[3,4,8,1,7,2,5,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[8,1,3,7,6,2,4,5]=>[3,1,8,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[2,3,6,8,7,1,4,5]=>[2,3,8,1,4,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[4,3,2,8,5,7,1,6]=>[4,3,8,2,5,1,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[3,6,4,2,8,5,7,1]=>[6,3,8,4,2,5,7,1]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[4,7,3,2,5,1,8,6]=>[7,4,3,8,2,5,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[3,2,4,7,5,8,6,1]=>[7,8,3,2,4,5,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[4,2,3,8,6,5,1,7]=>[6,8,2,4,3,5,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,4,3,5,1,8,6,7]=>[4,8,2,3,5,1,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[3,2,8,1,4,6,5,7]=>[3,8,2,1,4,6,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[3,7,8,5,6,1,2,4]=>[1,3,2,7,5,8,6,4]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[3,1,6,8,4,7,2,5]=>[3,6,4,1,2,8,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[4,1,6,8,3,2,7,5]=>[6,4,8,1,7,3,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[4,6,1,8,2,3,7,5]=>[6,1,4,8,2,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[4,1,6,8,2,3,7,5]=>[6,1,4,8,2,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[4,5,1,2,8,3,7,6]=>[8,4,1,5,2,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[3,6,2,8,4,7,1,5]=>[3,6,2,4,8,1,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[2,3,6,8,4,7,5,1]=>[6,8,2,3,4,7,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[4,1,2,5,8,3,7,6]=>[8,4,1,5,2,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[5,1,2,4,3,8,7,6]=>[8,7,5,1,2,4,3,6]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[5,2,4,1,3,8,7,6]=>[8,7,2,1,5,4,3,6]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[4,2,5,3,8,1,7,6]=>[8,4,5,2,3,1,7,6]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[3,5,2,4,8,7,1,6]=>[3,8,2,5,4,1,7,6]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[5,4,2,1,3,8,7,6]=>[8,7,2,5,4,1,3,6]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[5,4,1,3,2,8,7,6]=>[8,7,5,1,4,3,2,6]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[4,5,3,1,8,2,7,6]=>[8,4,5,3,1,7,2,6]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[3,5,4,1,8,7,2,6]=>[5,8,3,4,1,7,2,6]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[4,3,6,8,2,1,7,5]=>[6,4,3,8,2,7,1,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[5,1,3,4,2,8,7,6]=>[8,7,3,1,5,4,2,6]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[5,3,2,1,4,8,7,6]=>[8,7,3,5,2,1,4,6]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[4,3,2,5,8,1,7,6]=>[8,4,3,2,5,1,7,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[3,4,2,5,8,7,1,6]=>[3,8,4,2,5,1,7,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[3,2,4,5,8,7,1,6]=>[3,8,2,4,5,1,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[4,2,3,5,8,1,7,6]=>[8,2,4,3,5,1,7,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[5,2,1,3,4,8,7,6]=>[8,7,2,1,5,3,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[8,6,2,5,4,1,3,7]=>[2,1,8,6,5,4,3,7]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[6,5,7,4,2,8,3,1]=>[6,5,7,4,8,2,3,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[6,7,5,3,8,2,4,1]=>[3,6,7,5,2,8,4,1]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[8,2,1,6,3,4,5,7]=>[2,1,3,8,6,4,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[8,3,5,6,2,4,1,7]=>[3,2,5,6,8,4,1,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[8,1,2,3,4,6,5,7]=>[1,8,2,3,4,6,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[6,7,8,2,1,4,5,3]=>[6,2,1,7,8,4,5,3]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[5,3,1,7,8,6,2,4]=>[3,7,5,1,8,2,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[3,5,8,2,7,1,6,4]=>[5,3,8,2,1,7,6,4]=>[[1,4],[2,6],[3,7],[5,8]]=>[3,2,3]
[6,2,8,5,3,1,7,4]=>[6,5,8,7,2,3,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[8,2,6,4,7,1,3,5]=>[2,1,4,8,6,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[3,8,6,5,2,1,7,4]=>[6,8,5,3,7,2,1,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[3,4,1,8,2,6,7,5]=>[8,3,4,1,2,6,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[6,8,3,4,1,5,7,2]=>[3,4,6,8,1,5,7,2]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[5,1,7,6,2,8,4,3]=>[7,5,6,8,4,1,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[2,8,5,6,7,1,3,4]=>[2,1,3,5,8,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[2,5,7,6,3,1,8,4]=>[7,5,6,2,8,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[4,2,8,3,1,5,6,7]=>[4,2,3,1,8,5,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[8,3,6,7,1,5,4,2]=>[6,3,8,1,7,5,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[1,3,7,5,8,6,4,2]=>[7,8,5,3,1,6,4,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[5,7,8,4,3,1,6,2]=>[5,4,7,8,3,6,1,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[2,7,4,5,8,3,6,1]=>[2,7,4,5,3,8,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[3,5,7,1,4,8,6,2]=>[7,3,5,1,8,4,6,2]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[1,6,5,3,8,4,2,7]=>[6,5,3,8,1,4,2,7]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[1,8,3,2,4,7,5,6]=>[3,8,1,2,7,4,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[2,6,4,3,8,5,1,7]=>[6,4,8,2,3,5,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[3,8,2,1,6,4,5,7]=>[3,2,8,1,6,4,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[8,2,1,3,4,5,7,6]=>[8,2,1,3,4,7,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[4,6,8,3,2,1,5,7]=>[4,3,6,2,8,1,5,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[3,2,6,8,5,4,1,7]=>[6,3,8,2,5,4,1,7]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[4,8,2,6,5,3,1,7]=>[4,8,6,2,5,3,1,7]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[2,6,8,5,4,1,3,7]=>[2,6,1,8,5,4,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[3,1,8,6,5,4,2,7]=>[6,8,5,3,4,1,2,7]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[5,4,8,7,3,2,6,1]=>[5,8,4,3,7,2,6,1]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[4,7,3,6,2,1,8,5]=>[7,4,3,6,8,2,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[5,4,3,7,1,8,2,6]=>[5,4,3,1,7,8,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[5,4,8,7,6,2,1,3]=>[2,8,7,5,4,6,1,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[4,8,5,7,3,1,6,2]=>[4,5,8,3,7,6,1,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[1,5,4,8,3,7,6,2]=>[8,5,4,3,1,7,6,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[4,8,3,6,7,1,5,2]=>[4,3,6,1,8,7,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[8,7,5,3,6,4,2,1]=>[5,8,7,6,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[6,8,2,1,7,4,5,3]=>[6,2,8,7,1,4,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[3,7,1,6,4,2,8,5]=>[7,6,3,8,1,4,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[3,1,2,7,5,6,8,4]=>[7,1,5,3,2,6,8,4]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[3,6,1,2,7,5,8,4]=>[6,7,1,3,5,2,8,4]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[3,7,6,2,5,8,1,4]=>[3,2,7,1,6,5,8,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[3,6,2,5,8,7,4,1]=>[8,6,3,2,5,7,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[4,7,2,6,3,8,1,5]=>[4,2,7,3,6,1,8,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[6,3,2,4,8,7,5,1]=>[8,6,3,7,2,4,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[3,7,2,4,6,1,8,5]=>[7,3,2,4,6,8,1,5]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[6,3,2,8,7,5,1,4]=>[3,8,6,7,2,1,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[6,4,8,7,2,5,1,3]=>[2,4,8,6,1,7,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[6,2,1,3,8,7,5,4]=>[8,6,7,2,5,1,3,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[3,6,1,8,7,5,2,4]=>[3,8,6,1,7,5,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[5,6,1,2,8,7,4,3]=>[8,5,6,1,7,4,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[7,5,2,8,1,6,4,3]=>[5,7,8,6,2,1,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[7,8,5,1,6,2,4,3]=>[5,1,7,8,6,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[7,2,1,8,3,6,5,4]=>[7,8,2,6,5,1,3,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[5,8,7,1,6,4,3,2]=>[5,8,7,6,4,1,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[7,6,5,4,3,2,9,8,1]=>[9,7,6,5,4,3,2,8,1]=>[[1,8],[2],[3],[4],[5],[6],[7],[9]]=>[7,2]
[8,5,4,3,7,2,1,6]=>[5,4,8,3,2,7,1,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[6,5,4,8,3,2,7,1]=>[6,5,4,3,8,2,7,1]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[8,7,6,5,4,3,2,10,9,1]=>[10,8,7,6,5,4,3,2,9,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]]=>[8,2]
[5,7,2,4,6,8,1,3]=>[2,1,5,4,7,6,8,3]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[4,7,5,1,6,2,8,3]=>[4,7,5,6,8,1,2,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[5,7,4,6,3,1,8,2]=>[5,4,7,6,3,8,1,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[6,4,7,1,3,8,5,2]=>[6,7,1,4,8,3,5,2]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[4,5,1,2,7,6,8,3]=>[7,4,1,5,6,2,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[5,4,6,8,3,1,2,7]=>[1,5,4,6,3,8,2,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[6,4,8,1,3,7,2,5]=>[1,6,4,3,2,8,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[2,6,7,4,5,3,1,8]=>[6,2,4,7,5,3,1,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[7,5,8,6,2,1,3,4]=>[2,1,7,8,5,6,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[2,8,1,3,6,5,4,7]=>[6,8,2,1,3,5,4,7]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[2,8,7,3,5,4,1,6]=>[2,8,5,7,3,4,1,6]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[3,4,2,6,8,7,1,5]=>[3,8,4,2,1,6,7,5]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[6,8,3,2,7,1,5,4]=>[6,3,8,2,7,1,5,4]=>[[1,4],[2,5],[3,7],[6,8]]=>[3,3,2]
[2,8,5,6,3,7,1,4]=>[2,3,8,5,6,1,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[7,4,2,5,8,1,6,3]=>[4,7,2,5,8,1,6,3]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[2,7,8,3,4,5,1,6]=>[2,3,4,7,5,8,1,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[7,5,6,8,2,1,4,3]=>[5,2,7,6,8,4,1,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[3,1,6,5,2,7,4,8]=>[6,5,3,7,1,2,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[1,7,2,3,5,6,8,4]=>[7,1,2,3,5,6,8,4]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[4,2,1,7,5,8,3,6]=>[4,7,5,2,1,3,8,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[4,7,2,6,5,1,3,8]=>[2,7,4,1,6,5,3,8]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[4,7,1,6,5,2,8,3]=>[7,4,6,5,1,8,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[4,7,3,6,5,1,8,2]=>[7,4,3,6,5,8,1,2]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[4,2,6,8,7,3,1,5]=>[4,8,2,6,3,7,1,5]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[3,4,6,1,8,5,2,7]=>[6,3,4,5,8,1,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[4,1,6,7,5,8,2,3]=>[1,6,4,7,2,5,8,3]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[4,3,6,7,5,1,2,8]=>[1,6,4,3,7,5,2,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[4,3,7,1,6,8,2,5]=>[4,3,1,7,2,6,8,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[2,8,7,4,5,3,1,6]=>[2,8,4,7,5,3,1,6]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[2,8,7,4,3,5,1,6]=>[4,2,8,7,3,5,1,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[4,1,7,3,6,2,5,8]=>[4,1,7,3,2,6,5,8]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[5,8,7,6,2,1,3,4]=>[2,1,8,7,5,6,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[3,8,2,4,5,6,7,1]=>[3,2,4,5,6,8,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[2,8,6,5,3,7,1,4]=>[2,6,8,5,3,1,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[3,8,6,5,1,4,7,2]=>[3,6,8,5,1,4,7,2]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[3,8,2,5,4,6,7,1]=>[3,2,8,5,4,6,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[4,2,7,5,6,3,8,1]=>[4,7,5,2,6,3,8,1]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[4,2,6,7,5,3,1,8]=>[6,4,7,2,5,3,1,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[3,2,6,1,4,5,8,7]=>[8,3,2,1,4,6,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[2,8,7,3,4,5,1,6]=>[2,3,4,8,7,5,1,6]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[5,8,7,6,1,3,4,2]=>[3,1,8,7,5,6,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[4,1,7,5,6,2,3,8]=>[1,4,7,5,2,6,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[3,8,1,5,2,6,4,7]=>[3,8,1,5,6,2,4,7]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[5,8,7,6,1,3,2,4]=>[1,8,3,7,5,6,2,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[5,8,7,6,4,1,2,3]=>[1,2,8,7,5,6,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[8,4,3,7,5,1,6,2]=>[4,8,3,7,5,6,1,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[7,4,6,2,3,5,8,1]=>[2,4,3,7,6,5,8,1]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[5,1,7,2,4,6,8,3]=>[5,1,7,2,4,6,8,3]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[5,7,6,4,3,1,8,2]=>[7,5,6,4,3,8,1,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[5,7,6,3,1,4,8,2]=>[3,7,5,6,4,1,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[7,6,1,3,4,8,5,2]=>[7,3,1,6,8,4,5,2]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[3,6,5,2,7,8,1,4]=>[3,6,2,5,1,7,8,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[3,2,8,6,7,1,4,5]=>[3,2,1,8,4,6,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[4,8,3,6,5,2,1,7]=>[4,8,3,6,5,2,1,7]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[1,8,7,2,5,3,4,6]=>[1,2,8,5,7,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[3,6,8,5,1,2,4,7]=>[1,3,6,2,5,8,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[7,1,2,8,3,5,6,4]=>[7,1,2,8,3,5,6,4]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[6,7,5,2,8,1,4,3]=>[6,2,7,5,8,1,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[7,1,4,5,8,6,2,3]=>[1,7,4,2,8,5,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[4,1,3,7,8,6,2,5]=>[4,7,1,3,2,8,6,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[5,1,4,3,6,8,7,2]=>[8,5,4,1,3,6,7,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[4,5,7,6,8,2,1,3]=>[2,7,4,5,6,8,1,3]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[5,6,8,4,7,3,2,1]=>[5,6,4,8,7,3,2,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[6,4,7,8,5,2,1,3]=>[2,6,7,4,8,5,1,3]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[7,4,3,8,2,6,5,1]=>[7,4,8,3,2,6,5,1]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[7,6,8,3,2,5,4,1]=>[7,3,6,8,5,2,4,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[8,7,1,3,5,4,6,2]=>[8,1,3,5,7,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[7,6,8,3,1,4,5,2]=>[3,7,1,6,8,4,5,2]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[3,1,4,8,2,5,7,6]=>[8,3,4,1,2,5,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[7,8,2,3,4,6,5,1]=>[7,2,3,4,8,6,5,1]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[7,2,1,6,3,5,4,8]=>[7,2,6,1,5,3,4,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[8,1,3,5,4,2,6,7]=>[3,1,8,5,4,2,6,7]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[8,1,5,3,4,2,6,7]=>[1,3,8,5,4,2,6,7]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[8,1,5,6,2,3,7,4]=>[5,1,6,2,8,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[8,1,4,5,3,2,6,7]=>[4,1,5,8,3,2,6,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[7,2,1,4,5,3,6,8]=>[2,7,1,4,5,3,6,8]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[6,3,2,1,5,4,7,8]=>[6,3,5,2,1,4,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[7,3,1,5,4,2,6,8]=>[3,7,5,4,1,2,6,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[7,3,1,6,2,5,4,8]=>[7,3,1,6,5,2,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[3,7,1,6,2,5,4,8]=>[7,3,1,6,2,5,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[3,7,1,4,5,2,6,8]=>[3,4,1,5,7,2,6,8]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[3,6,2,1,5,4,7,8]=>[6,3,2,5,1,4,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[2,3,6,1,5,4,7,8]=>[6,2,3,1,5,4,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[3,5,2,4,1,6,7,8]=>[3,2,5,4,1,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[6,3,4,1,5,2,7,8]=>[3,4,6,5,1,2,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[2,6,4,1,5,3,7,8]=>[6,2,4,5,1,3,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[2,6,5,1,3,7,4,8]=>[6,2,5,1,7,3,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[6,5,2,1,3,7,4,8]=>[6,2,5,7,1,3,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[6,7,1,2,5,4,3,8]=>[6,7,1,2,5,4,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[5,6,2,1,3,7,4,8]=>[5,2,6,7,1,3,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[5,2,6,1,3,7,4,8]=>[5,2,6,1,7,3,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[2,4,6,1,5,3,7,8]=>[4,2,6,1,5,3,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[5,6,3,1,2,7,4,8]=>[5,1,6,7,3,2,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[4,2,5,3,1,6,7,8]=>[4,5,2,3,1,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[3,4,6,1,5,2,7,8]=>[3,4,6,1,5,2,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[6,5,1,8,7,3,4,2]=>[8,1,6,5,7,3,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[8,2,7,5,4,1,3,6]=>[2,1,8,7,5,4,3,6]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[5,7,6,4,1,3,8,2]=>[7,1,5,6,4,3,8,2]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[6,1,7,5,3,8,4,2]=>[6,7,5,8,3,1,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[8,5,2,7,1,6,4,3]=>[5,8,7,2,6,1,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[7,6,1,5,3,8,4,2]=>[7,6,5,1,8,3,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[5,6,2,4,7,8,1,3]=>[2,1,5,6,4,7,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[5,8,6,4,1,2,7,3]=>[5,1,8,6,4,7,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[5,8,7,3,2,6,4,1]=>[5,8,7,3,6,2,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[5,8,1,7,2,6,4,3]=>[5,8,7,1,6,2,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[8,1,5,7,2,6,4,3]=>[5,8,7,1,2,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[6,8,7,2,5,1,3,4]=>[2,1,3,8,6,7,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[5,8,7,2,1,6,3,4]=>[2,5,8,7,1,6,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[4,8,1,5,2,6,7,3]=>[4,5,1,8,6,2,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[8,7,2,1,5,6,3,4]=>[2,8,1,3,7,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[8,6,7,1,5,2,3,4]=>[1,2,6,3,8,7,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[7,5,6,2,1,8,4,3]=>[5,7,6,8,4,2,1,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[8,7,5,2,1,6,4,3]=>[5,8,7,6,4,2,1,3]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[7,1,3,5,8,6,2,4]=>[3,7,1,2,8,5,6,4]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[5,1,3,4,6,8,7,2]=>[8,3,1,5,4,6,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[4,5,3,6,8,2,7,1]=>[4,5,3,6,2,8,7,1]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[8,4,3,1,2,6,7,5]=>[8,1,4,3,6,2,7,5]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[8,5,1,6,3,4,7,2]=>[5,1,6,8,3,4,7,2]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[5,1,8,6,3,4,7,2]=>[5,1,8,6,3,4,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[6,4,5,8,3,2,7,1]=>[4,6,5,3,8,2,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[3,6,4,8,7,1,5,2]=>[3,8,6,4,7,1,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[5,6,8,3,1,2,7,4]=>[5,1,6,8,3,7,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[6,1,8,3,5,2,7,4]=>[6,8,1,3,5,7,2,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[7,6,8,3,5,2,1,4]=>[3,2,7,6,8,5,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[8,6,1,3,5,2,7,4]=>[6,3,1,8,5,7,2,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[6,7,8,3,5,1,2,4]=>[1,3,2,6,7,8,5,4]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[3,4,8,1,2,6,7,5]=>[6,1,3,4,2,8,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[5,8,2,3,1,6,7,4]=>[5,2,8,3,1,6,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[7,8,2,3,5,6,1,4]=>[2,3,1,5,7,8,6,4]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[2,4,8,6,1,3,7,5]=>[8,2,1,6,4,7,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[6,7,1,8,4,3,5,2]=>[4,6,7,8,3,1,5,2]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[2,7,8,6,1,4,3,5]=>[2,7,1,8,4,6,3,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[7,5,1,8,2,4,6,3]=>[5,1,7,8,2,4,6,3]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[2,6,5,4,1,3,8,7]=>[8,2,6,5,1,4,3,7]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[4,1,7,6,3,8,2,5]=>[4,7,3,6,1,2,8,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[3,4,6,5,1,8,2,7]=>[6,3,4,5,1,8,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[4,6,1,5,2,3,8,7]=>[8,1,4,6,2,5,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[6,2,3,5,1,4,8,7]=>[8,2,3,1,6,5,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[8,6,1,2,5,3,4,7]=>[1,2,8,3,6,5,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[6,2,5,1,8,3,4,7]=>[2,6,1,5,3,8,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[7,6,5,2,8,3,4,1]=>[2,7,6,5,8,3,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[2,4,7,6,5,8,1,3]=>[2,7,6,1,4,5,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[7,4,6,8,5,3,2,1]=>[7,4,6,8,5,3,2,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[3,2,8,7,5,1,6,4]=>[8,3,7,5,2,6,1,4]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[4,8,5,1,6,7,2,3]=>[1,4,5,8,6,2,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[3,8,5,1,6,7,2,4]=>[3,1,5,8,6,2,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[5,6,7,2,8,1,3,4]=>[2,1,5,6,7,3,8,4]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[2,5,1,8,6,7,4,3]=>[8,5,2,6,7,1,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[5,2,3,8,6,7,4,1]=>[8,2,5,6,3,7,4,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[8,1,6,3,5,2,7,4]=>[8,1,6,3,5,7,2,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[2,7,5,8,1,3,4,6]=>[2,1,3,7,5,4,8,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[7,6,2,8,5,1,4,3]=>[7,2,6,8,5,1,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[3,4,8,7,5,1,6,2]=>[3,8,7,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[6,3,8,1,4,2,5,7]=>[3,1,6,4,8,2,5,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[7,4,6,8,5,1,3,2]=>[7,1,4,6,8,5,3,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[2,1,4,8,7,5,6,3]=>[8,2,7,4,1,5,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[7,1,5,8,2,6,4,3]=>[7,5,1,8,6,2,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[5,2,8,1,6,7,3,4]=>[2,5,6,1,3,8,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[2,5,8,4,6,7,3,1]=>[5,4,2,6,8,7,3,1]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[8,4,3,2,6,7,1,5]=>[4,3,2,8,1,6,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,2,8,1,6,7,3,5]=>[4,2,6,1,3,8,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[2,4,8,1,6,7,3,5]=>[4,2,1,6,3,8,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[5,1,8,2,6,7,3,4]=>[1,5,8,2,3,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[7,8,5,3,6,4,2,1]=>[5,7,8,6,3,4,2,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[2,8,5,7,4,1,3,6]=>[2,1,8,5,4,7,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[5,8,4,1,6,7,2,3]=>[1,5,4,8,2,6,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[3,8,1,4,6,7,2,5]=>[3,4,1,2,6,8,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[8,2,3,4,6,7,1,5]=>[2,3,4,1,6,8,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[7,4,3,2,8,5,1,6]=>[4,7,8,3,2,5,1,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[5,3,2,8,4,6,1,7]=>[5,3,2,8,4,6,1,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[8,3,6,2,5,4,1,7]=>[3,8,2,6,5,4,1,7]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[5,4,8,3,2,6,1,7]=>[5,4,3,2,8,6,1,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[6,4,7,8,2,3,1,5]=>[2,4,6,3,7,8,1,5]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[1,5,3,2,8,4,7,6]=>[8,5,3,7,1,2,4,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[2,8,7,3,5,1,4,6]=>[2,3,1,8,7,5,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[7,3,8,6,4,1,2,5]=>[1,3,7,8,6,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[6,1,2,7,3,8,5,4]=>[6,7,8,1,5,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[2,1,7,4,3,8,6,5]=>[7,8,6,4,2,1,3,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[5,1,4,8,3,7,2,6]=>[5,4,1,3,2,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[2,1,6,8,5,4,7,3]=>[6,8,2,5,1,4,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[6,1,5,7,8,2,4,3]=>[6,1,5,2,7,8,4,3]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[8,3,1,6,7,2,5,4]=>[8,3,1,6,2,7,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[7,4,8,6,1,3,2,5]=>[1,7,4,8,3,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[5,4,7,1,3,2,6,8]=>[5,1,4,3,7,2,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[5,7,4,8,2,1,3,6]=>[2,5,4,7,1,8,3,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[4,6,8,2,5,1,3,7]=>[2,4,1,6,5,8,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[5,7,2,3,8,1,4,6]=>[2,3,5,1,7,4,8,6]=>[[1,3,4,6,8],[2,5,7]]=>[2,3,2,1]
[6,4,7,5,8,1,2,3]=>[1,2,6,7,4,5,8,3]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[5,8,3,6,1,7,4,2]=>[5,6,3,8,7,4,1,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[7,4,2,1,5,8,6,3]=>[7,4,8,5,2,1,6,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[7,6,4,1,8,5,2,3]=>[1,7,6,8,4,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[1,6,4,8,7,5,3,2]=>[8,6,7,4,5,1,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[6,3,1,2,8,4,7,5]=>[6,8,1,3,7,2,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[7,5,1,3,2,8,6,4]=>[7,8,5,1,6,3,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[4,7,1,2,5,8,6,3]=>[7,4,1,8,2,5,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[6,8,4,1,2,7,5,3]=>[6,8,1,4,7,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[5,8,2,1,7,3,6,4]=>[5,8,2,7,1,6,3,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[3,6,1,8,2,4,7,5]=>[6,3,1,8,2,7,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[1,3,8,7,6,2,5,4]=>[8,3,7,6,1,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[3,5,1,8,7,2,4,6]=>[3,1,8,5,2,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[4,7,1,2,8,6,3,5]=>[4,7,1,2,8,6,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[7,6,8,1,5,4,2,3]=>[1,7,6,2,8,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[8,6,1,7,5,4,3,2]=>[6,8,7,5,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[7,1,5,8,6,4,3,2]=>[7,8,5,6,1,4,3,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[5,1,8,7,3,6,4,2]=>[5,8,7,6,1,3,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[1,6,4,5,2,3,7,8]=>[1,6,2,4,5,3,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>[4,2,2]
[1,7,3,5,2,4,6,8]=>[1,3,7,2,5,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[1,6,3,5,2,4,7,8]=>[1,6,3,2,5,4,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[1,6,3,4,2,5,7,8]=>[1,6,3,4,2,5,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>[3,3,2]
[1,7,3,4,2,6,5,8]=>[7,1,6,3,4,2,5,8]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[1,5,2,8,4,7,3,6]=>[5,1,8,4,2,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[1,4,2,8,5,7,3,6]=>[4,5,8,1,2,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[1,7,3,6,2,5,4,8]=>[7,1,6,3,2,5,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[1,7,3,6,2,4,5,8]=>[1,3,7,2,4,6,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[1,8,5,6,2,3,4,7]=>[1,2,3,8,5,6,4,7]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[1,4,2,8,5,6,3,7]=>[4,5,8,1,2,6,3,7]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[1,5,2,8,4,6,3,7]=>[5,1,8,4,2,6,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[8,1,2,4,5,3,6,7]=>[4,1,2,5,3,8,6,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[1,8,9,2,3,4,5,6,7,10]=>[1,2,3,4,5,8,6,9,7,10]=>[[1,2,3,4,5,6,7,10],[8,9]]=>[8,2]
[3,4,5,6,7,8,9,10,11,12,1,2]=>[1,3,4,5,6,7,8,9,10,11,12,2]=>[[1,2,4,5,6,7,8,9,10,11,12],[3]]=>[3,9]
[8,6,4,7,2,1,3,5]=>[2,4,6,8,1,7,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[1,6,4,7,2,8,3,5]=>[4,6,1,7,2,8,3,5]=>[[1,2,3,5],[4,6,7,8]]=>[4,2,2]
[1,4,7,3,5,8,2,6]=>[4,3,1,5,7,2,8,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[8,4,6,2,3,5,1,7]=>[2,4,3,6,8,5,1,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[5,4,8,2,3,6,1,7]=>[2,5,4,3,6,8,1,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[7,4,8,5,2,3,1,6]=>[2,4,7,8,5,3,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[4,8,6,2,3,5,1,7]=>[2,4,3,8,6,5,1,7]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[1,7,6,4,8,2,3,5]=>[1,4,7,6,2,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[5,8,7,4,1,2,3,6]=>[1,2,5,8,4,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[6,8,3,7,2,1,4,5]=>[3,2,6,1,8,7,4,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[8,5,1,6,3,7,2,4]=>[3,5,6,8,1,2,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[6,1,3,7,4,8,2,5]=>[1,6,7,3,4,2,8,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[4,1,7,3,5,8,2,6]=>[4,1,7,3,5,2,8,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[1,8,5,7,2,3,4,6]=>[1,2,3,8,5,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[3,8,7,5,1,2,4,6]=>[1,3,2,8,7,5,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[3,7,6,1,2,4,5,8]=>[1,3,2,7,4,6,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[6,5,8,4,1,2,3,7]=>[1,2,6,5,4,8,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[8,5,7,4,1,2,3,6]=>[1,2,5,4,8,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[1,5,7,4,8,2,3,6]=>[1,5,2,7,4,3,8,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[7,6,4,8,2,1,3,5]=>[2,4,7,6,1,8,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[7,6,2,3,8,1,4,5]=>[2,3,1,7,6,4,8,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[7,4,8,5,1,6,2,3]=>[1,4,7,8,5,6,2,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[8,6,4,1,2,7,3,5]=>[1,6,4,8,2,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[1,7,2,8,6,3,4,5]=>[1,2,7,8,6,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[7,6,1,3,8,2,4,5]=>[1,3,7,2,6,4,8,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[5,4,1,8,2,3,6,7]=>[1,5,4,2,3,8,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[1,4,8,7,2,3,5,6]=>[1,4,2,8,3,5,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[1,5,8,7,2,3,4,6]=>[1,2,5,8,3,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[6,5,1,8,2,3,4,7]=>[1,2,6,5,3,8,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[5,7,1,3,8,2,4,6]=>[1,5,3,2,7,4,8,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[7,6,8,1,5,2,3,4]=>[1,2,7,3,6,8,5,4]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[7,1,5,8,6,2,3,4]=>[1,2,7,8,3,5,6,4]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[4,1,8,7,2,3,5,6]=>[1,4,2,8,3,7,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[5,1,8,7,2,3,4,6]=>[1,2,5,8,3,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[1,8,7,6,4,5,3,2]=>[8,7,1,6,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[1,8,7,3,6,5,4,2]=>[8,7,6,1,5,3,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[2,4,1,7,5,8,3,6]=>[4,7,2,5,1,3,8,6]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[7,1,4,6,5,2,3,8]=>[1,7,4,2,6,5,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[7,1,4,6,5,8,2,3]=>[1,7,4,2,6,5,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[7,1,4,6,3,8,2,5]=>[4,1,7,3,6,2,8,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[7,1,4,6,5,3,8,2]=>[7,4,6,1,5,3,8,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[6,4,2,7,5,3,8,1]=>[6,7,4,5,2,3,8,1]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[3,4,7,1,6,8,2,5]=>[3,4,1,7,2,6,8,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[6,4,2,7,5,3,1,8]=>[6,7,4,5,2,3,1,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[3,4,7,2,6,5,1,8]=>[7,3,4,2,6,5,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[4,8,7,3,5,1,2,6]=>[1,4,3,8,5,7,2,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[4,8,3,1,2,6,5,7]=>[1,8,4,3,6,2,5,7]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[3,4,7,2,6,5,8,1]=>[7,3,4,2,6,5,8,1]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[4,8,3,1,2,6,7,5]=>[8,1,4,3,2,6,7,5]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[5,8,1,6,3,4,2,7]=>[5,1,3,8,6,4,2,7]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[5,4,7,3,6,2,8,1]=>[5,4,3,7,6,2,8,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[5,4,7,2,6,1,8,3]=>[5,4,7,2,6,8,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[6,4,3,7,5,1,2,8]=>[1,6,7,4,3,5,2,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[5,8,3,2,1,6,4,7]=>[5,3,8,6,2,1,4,7]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[5,8,7,4,3,1,2,6]=>[1,5,8,4,7,3,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[5,4,7,3,6,2,1,8]=>[5,4,3,7,6,2,1,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[7,3,8,2,1,6,5,4]=>[7,8,3,6,2,5,1,4]=>[[1,4],[2,5],[3,6],[7,8]]=>[3,4,1]
[7,4,3,8,5,2,1,6]=>[4,7,8,3,5,2,1,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[4,3,8,7,5,1,6,2]=>[4,8,7,3,5,6,1,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[3,2,5,8,6,1,4,7]=>[3,2,8,1,5,6,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[4,3,7,8,5,1,2,6]=>[1,4,7,3,5,8,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[5,3,7,8,4,1,2,6]=>[1,5,3,7,4,8,2,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[6,2,4,8,3,1,5,7]=>[2,6,4,3,1,8,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[5,2,3,8,4,1,6,7]=>[5,2,3,4,8,1,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[5,3,8,7,4,1,6,2]=>[5,8,3,7,4,6,1,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[8,7,5,3,6,2,4,1]=>[3,5,8,7,2,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[8,6,5,3,7,2,4,1]=>[3,6,8,5,2,7,4,1]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[7,5,4,3,8,2,6,1]=>[5,7,4,3,2,8,6,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[6,4,5,3,8,2,7,1]=>[4,6,5,3,2,8,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[7,5,6,3,8,2,4,1]=>[3,5,7,6,2,8,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[7,4,6,3,5,2,8,1]=>[4,3,7,6,5,2,8,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[8,4,6,3,5,2,7,1]=>[4,3,6,8,5,2,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[8,4,7,3,5,2,6,1]=>[4,3,5,8,7,2,6,1]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[8,5,7,3,4,2,6,1]=>[3,5,4,8,7,2,6,1]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[6,5,8,4,3,2,7,1]=>[6,5,4,8,3,2,7,1]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[7,5,8,3,4,2,6,1]=>[3,5,7,4,8,2,6,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[7,5,8,4,6,2,3,1]=>[2,5,7,4,8,6,3,1]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[7,4,8,3,6,2,5,1]=>[4,3,7,2,8,6,5,1]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[6,4,8,3,5,2,7,1]=>[4,6,3,5,8,2,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[6,4,7,3,5,2,8,1]=>[4,6,3,7,5,2,8,1]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[5,4,8,3,7,2,6,1]=>[5,4,3,2,8,7,6,1]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[6,5,8,4,7,2,3,1]=>[2,6,5,4,8,7,3,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[6,4,7,3,8,2,5,1]=>[4,6,3,7,2,8,5,1]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[5,4,7,3,8,2,6,1]=>[5,4,3,7,2,8,6,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[5,4,6,3,8,2,7,1]=>[5,4,6,3,2,8,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[5,3,6,2,4,7,8,1]=>[3,5,2,6,4,7,8,1]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[5,3,6,1,4,8,7,2]=>[8,3,5,6,1,4,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[5,3,7,2,4,6,8,1]=>[3,5,2,4,7,6,8,1]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[4,2,1,5,8,6,7,3]=>[4,8,5,2,1,6,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[4,2,1,5,8,7,6,3]=>[8,7,4,5,2,1,6,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[6,7,3,1,4,8,2,5]=>[3,4,6,7,1,2,8,5]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[3,2,1,8,5,4,6,7]=>[5,3,8,2,1,4,6,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[5,2,7,1,8,4,3,6]=>[5,2,7,8,4,1,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[6,7,2,1,8,4,3,5]=>[4,6,7,8,2,1,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[6,7,2,1,8,4,5,3]=>[6,2,7,8,4,1,5,3]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[3,2,1,8,5,6,4,7]=>[3,8,5,2,1,6,4,7]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[3,2,1,8,6,5,4,7]=>[6,8,5,3,2,1,4,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[5,2,6,1,8,4,3,7]=>[5,6,2,8,4,1,3,7]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[5,2,6,1,8,7,3,4]=>[2,8,5,6,1,7,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[5,2,6,1,8,3,4,7]=>[2,5,6,1,3,8,4,7]=>[[1,3,4,7],[2,5,6,8]]=>[2,3,3]
[4,3,1,6,7,8,2,5]=>[4,3,1,6,2,7,8,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[4,2,1,7,8,6,3,5]=>[4,7,2,8,1,3,6,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[3,2,1,8,7,6,4,5]=>[3,8,7,6,2,1,4,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[3,2,1,8,6,4,7,5]=>[6,8,7,3,2,1,4,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[3,2,1,8,6,4,5,7]=>[3,6,8,2,1,4,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[3,2,1,8,4,6,5,7]=>[3,8,6,2,1,4,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[3,2,1,8,4,6,7,5]=>[8,3,2,6,1,4,7,5]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[3,2,1,8,7,4,6,5]=>[8,3,7,6,2,1,4,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[4,2,1,7,8,3,5,6]=>[4,2,1,7,3,5,8,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[3,2,1,8,4,5,7,6]=>[8,3,2,7,1,4,5,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[7,5,2,8,6,3,4,1]=>[2,7,8,5,6,3,4,1]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[7,3,8,6,2,4,5,1]=>[3,2,7,8,4,6,5,1]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[6,3,8,2,4,5,1,7]=>[3,2,6,4,5,8,1,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[6,3,8,2,5,7,4,1]=>[6,3,5,2,8,7,4,1]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[6,3,7,8,2,4,1,5]=>[3,2,6,4,7,8,1,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[5,6,7,3,8,2,4,1]=>[3,5,6,7,2,8,4,1]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[6,4,8,2,7,5,1,3]=>[2,6,8,4,1,7,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[5,6,4,2,3,8,1,7]=>[2,5,6,4,3,1,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[5,6,3,7,8,2,4,1]=>[3,5,6,2,7,8,4,1]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[5,6,3,8,2,4,7,1]=>[3,5,6,2,4,8,7,1]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[6,3,7,2,4,5,1,8]=>[3,2,6,4,7,5,1,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[6,3,7,2,5,8,4,1]=>[6,3,7,2,5,8,4,1]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[5,3,6,8,2,4,7,1]=>[3,5,2,6,4,8,7,1]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[5,3,6,7,8,2,4,1]=>[3,5,2,6,7,8,4,1]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[3,6,4,2,1,5,8,7]=>[8,3,6,4,2,1,5,7]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[3,5,8,6,4,2,1,7]=>[5,8,3,6,4,2,1,7]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[5,8,6,3,4,2,1,7]=>[3,5,8,6,4,2,1,7]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[6,3,4,2,1,5,8,7]=>[8,3,4,6,2,1,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[2,5,4,1,7,8,6,3]=>[7,5,4,2,8,1,6,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[2,7,8,5,4,1,6,3]=>[7,2,8,5,4,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[2,8,5,4,1,6,3,7]=>[5,4,8,2,6,1,3,7]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[2,6,3,8,5,4,1,7]=>[6,5,8,2,3,4,1,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[5,8,6,4,2,1,3,7]=>[2,5,8,6,4,1,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,2,1,5,7,8,6,3]=>[7,4,5,2,1,8,6,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[2,1,8,5,6,4,3,7]=>[5,8,2,6,1,4,3,7]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[8,4,2,1,5,6,3,7]=>[4,2,8,5,1,6,3,7]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[2,5,6,3,8,4,1,7]=>[5,6,2,3,8,4,1,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[3,8,5,6,4,2,1,7]=>[3,8,5,6,4,2,1,7]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[3,6,4,2,1,8,5,7]=>[6,3,8,4,2,1,5,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[3,8,6,4,2,1,5,7]=>[3,6,8,4,2,1,5,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[8,5,3,7,6,2,4,1]=>[3,8,5,7,2,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[7,6,2,4,1,8,5,3]=>[7,6,2,8,4,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[8,5,4,1,7,6,2,3]=>[1,8,5,7,4,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[7,6,2,3,8,5,4,1]=>[7,6,2,8,5,3,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[2,1,6,4,3,7,8,5]=>[6,7,4,2,1,3,8,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[7,8,4,2,1,6,3,5]=>[4,2,7,8,6,1,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[5,7,6,2,3,8,4,1]=>[7,2,5,6,8,3,4,1]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[2,6,1,7,5,8,4,3]=>[6,7,5,2,8,1,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[8,4,2,3,7,5,6,1]=>[2,8,4,3,7,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[4,8,5,7,6,2,1,3]=>[2,8,4,7,5,6,1,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[7,5,6,1,8,4,2,3]=>[1,5,7,6,8,4,2,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[6,4,7,8,3,2,1,5]=>[4,6,3,7,8,2,1,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[7,6,5,8,4,3,2,1,9]=>[7,6,5,8,4,3,2,1,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,2]
[7,6,5,4,3,2,8,1,9]=>[7,6,5,4,3,2,8,1,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,2]
[6,4,3,7,5,2,1,8]=>[6,7,4,3,5,2,1,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[6,5,2,7,8,4,1,3]=>[2,6,5,7,1,8,4,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[6,5,8,7,4,3,2,1,9]=>[8,6,5,7,4,3,2,1,9]=>[[1,7,9],[2],[3],[4],[5],[6],[8]]=>[6,2,1]
[6,4,3,2,5,8,1,7]=>[4,6,3,2,5,1,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[6,3,7,2,5,4,1,8]=>[6,3,7,2,5,4,1,8]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[8,4,2,6,3,1,7,5]=>[6,4,8,7,2,3,1,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[1,5,3,7,4,2,8,6]=>[7,5,8,3,1,4,2,6]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[1,6,7,3,4,2,8,5]=>[6,7,1,3,8,4,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[8,6,5,2,3,1,7,4]=>[6,2,8,5,7,3,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[8,7,5,2,1,4,6,3]=>[5,2,8,7,4,1,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[7,8,5,2,1,4,6,3]=>[5,2,7,8,4,1,6,3]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[6,8,5,2,3,1,7,4]=>[6,2,5,8,7,3,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[4,8,2,6,3,1,7,5]=>[8,4,2,6,7,3,1,5]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[3,2,1,7,5,4,8,6]=>[7,8,5,3,2,1,4,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[5,1,7,3,4,2,8,6]=>[7,5,1,8,3,4,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,2,7,4,3,6,8,5]=>[7,4,6,1,2,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[5,1,8,3,2,6,7,4]=>[5,8,3,1,6,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[3,2,8,7,1,5,6,4]=>[8,3,2,5,1,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[4,8,2,7,1,5,6,3]=>[4,5,2,1,8,7,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[7,6,8,1,3,4,5,2]=>[3,1,4,7,6,8,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[6,5,8,2,3,1,7,4]=>[6,2,5,8,3,7,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[1,6,8,3,2,5,7,4]=>[6,1,8,3,5,2,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[1,5,3,8,2,6,7,4]=>[5,6,3,1,2,8,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[6,4,2,8,3,1,7,5]=>[6,8,4,2,7,3,1,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[4,5,2,3,1,6,8,7]=>[8,2,4,5,3,1,6,7]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[8,4,2,1,3,6,7,5]=>[8,2,4,1,6,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[1,5,3,2,4,7,8,6]=>[7,3,5,1,2,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[8,5,1,3,2,6,7,4]=>[5,1,8,6,3,2,7,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[8,6,1,2,4,5,7,3]=>[4,1,2,6,8,5,7,3]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[1,8,2,3,5,6,7,4]=>[5,1,2,3,8,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[5,8,1,3,2,6,7,4]=>[5,8,1,3,2,6,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[4,8,2,1,3,6,7,5]=>[8,2,4,1,3,6,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[4,1,3,2,5,7,8,6]=>[7,4,1,3,2,5,8,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[5,1,2,4,3,7,8,6]=>[7,5,1,2,4,3,8,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[1,4,7,6,3,2,5,8]=>[4,7,1,6,3,2,5,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[4,3,2,8,1,7,6,5]=>[8,7,4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[4,1,8,7,3,2,5,6]=>[4,3,8,1,7,2,5,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[4,7,8,1,2,5,3,6]=>[4,1,2,7,5,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[3,4,7,6,2,1,8,5]=>[7,6,3,4,8,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[2,3,6,7,4,1,8,5]=>[6,7,2,3,8,4,1,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[3,7,8,2,6,4,1,5]=>[3,7,2,4,8,6,1,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[1,3,6,7,4,2,5,8]=>[3,6,1,4,7,2,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[3,2,7,8,4,1,6,5]=>[7,3,8,2,4,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[4,2,8,6,3,1,7,5]=>[8,4,6,7,2,3,1,5]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[3,7,2,4,8,6,1,5]=>[3,7,2,4,8,1,6,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[3,2,7,4,8,1,6,5]=>[7,3,8,2,4,1,6,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[1,3,6,4,7,2,5,8]=>[3,6,1,4,2,7,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[3,2,4,7,1,8,6,5]=>[7,8,3,2,4,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[3,7,4,2,6,8,1,5]=>[3,4,7,2,1,6,8,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[4,7,1,5,8,2,3,6]=>[1,4,2,7,5,3,8,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[3,7,6,4,8,2,1,5]=>[3,7,6,4,2,8,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[3,1,7,4,8,2,5,6]=>[3,4,7,1,2,5,8,6]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,1]
[2,3,6,4,7,1,8,5]=>[6,7,2,3,4,8,1,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[3,4,6,7,8,5,1,2]=>[1,6,3,4,7,8,5,2]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[1,8,2,5,6,3,7,4]=>[8,1,5,2,6,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[4,8,1,5,2,3,6,7]=>[1,4,2,5,8,3,6,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[7,4,1,5,2,3,6,8]=>[1,4,5,7,2,3,6,8]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[6,1,2,5,8,3,7,4]=>[6,5,1,2,8,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[4,1,6,3,7,8,2,5]=>[4,3,6,1,2,7,8,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[3,1,6,4,8,2,7,5]=>[6,8,3,4,1,2,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[7,8,4,1,6,3,2,5]=>[4,3,7,8,6,1,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[4,1,6,3,8,7,2,5]=>[4,8,3,6,1,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[7,5,1,8,4,3,2,6]=>[5,7,4,8,3,1,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[4,1,8,5,2,3,7,6]=>[8,1,4,7,5,2,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[4,1,6,8,3,7,2,5]=>[4,3,6,1,2,8,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[5,4,6,1,3,8,2,7]=>[5,1,4,6,3,2,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[6,5,8,1,4,3,2,7]=>[6,5,1,4,8,3,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[1,3,5,7,6,2,8,4]=>[7,5,3,1,6,8,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[1,3,5,7,4,6,2,8]=>[5,3,1,4,7,6,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[1,3,5,4,7,8,2,6]=>[5,3,1,4,2,7,8,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[1,3,5,7,4,2,8,6]=>[7,5,3,1,8,4,2,6]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[1,3,5,7,4,8,2,6]=>[5,3,1,4,7,2,8,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[1,3,5,7,4,8,6,2]=>[7,5,3,1,8,4,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[1,3,5,7,8,4,2,6]=>[5,3,1,4,7,8,2,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[1,3,5,2,7,8,6,4]=>[7,5,3,1,8,2,6,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[1,3,5,7,2,8,6,4]=>[7,5,3,1,8,6,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[1,6,3,2,7,4,8,5]=>[6,7,8,3,1,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[3,5,1,6,2,8,7,4]=>[8,5,3,6,7,1,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[2,6,1,7,4,3,8,5]=>[6,7,8,2,4,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[1,4,7,3,5,2,8,6]=>[7,4,3,1,8,5,2,6]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[2,5,3,7,4,8,1,6]=>[5,2,7,3,4,1,8,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[1,4,7,2,3,8,6,5]=>[7,8,1,4,2,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[2,4,7,3,1,8,6,5]=>[7,8,4,2,6,3,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[1,4,6,3,8,2,7,5]=>[6,4,8,1,3,2,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[1,4,7,3,8,2,6,5]=>[7,4,1,8,3,2,6,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[3,2,6,7,8,1,5,4]=>[6,3,2,1,7,8,5,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[4,3,6,7,8,2,1,5]=>[4,3,2,6,7,8,1,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[3,5,2,7,8,4,1,6]=>[5,3,2,7,4,8,1,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[1,5,7,4,8,3,2,6]=>[5,4,7,1,3,8,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[4,6,2,1,7,8,3,5]=>[4,2,6,7,1,3,8,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[3,5,2,6,8,4,7,1]=>[5,3,6,2,4,8,7,1]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[1,4,6,3,8,7,2,5]=>[4,8,1,6,3,2,7,5]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[2,5,7,4,3,8,6,1]=>[7,5,8,2,4,3,6,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[1,3,7,2,8,6,5,4]=>[7,8,6,3,1,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[8,5,3,7,2,4,1,6]=>[3,5,2,8,4,7,1,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[2,4,7,8,3,1,5,6]=>[4,2,3,1,7,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[3,2,4,8,1,5,6,7]=>[3,2,4,1,5,6,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[8,4,6,7,2,3,1,5]=>[2,4,3,6,8,7,1,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[4,6,7,8,2,3,1,5]=>[2,4,3,6,7,8,1,5]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[5,3,8,7,2,4,1,6]=>[3,5,8,2,4,7,1,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[2,4,8,7,3,1,5,6]=>[4,2,8,3,1,7,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[3,1,7,4,2,8,6,5]=>[7,8,6,3,4,1,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[3,2,8,4,1,7,6,5]=>[8,7,3,6,2,4,1,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[7,6,4,8,2,3,1,5]=>[2,4,7,6,3,8,1,5]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[5,7,6,8,2,3,1,4]=>[2,3,7,5,6,8,1,4]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[4,7,6,8,2,3,1,5]=>[2,4,7,3,6,8,1,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[8,6,4,7,2,3,1,5]=>[2,4,6,8,3,7,1,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[8,2,3,7,4,1,6,5]=>[8,2,7,3,4,6,1,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[3,7,4,8,2,5,1,6]=>[3,4,7,2,5,8,1,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[2,3,7,4,1,6,8,5]=>[7,2,6,3,4,1,8,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[6,3,1,7,4,2,8,5]=>[6,7,8,3,4,1,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[7,5,8,6,2,3,1,4]=>[2,3,7,8,5,6,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[6,8,7,5,2,3,1,4]=>[2,3,8,6,7,5,1,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[4,6,3,1,5,8,7,2]=>[8,4,3,6,5,1,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[2,6,5,3,1,8,7,4]=>[8,6,5,7,2,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[2,6,5,1,8,7,3,4]=>[2,8,6,5,1,7,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[2,6,5,8,1,7,3,4]=>[2,6,5,1,8,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[2,6,5,8,1,3,7,4]=>[6,2,5,1,8,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[2,6,5,8,3,1,7,4]=>[6,5,8,2,3,7,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[2,6,5,3,8,1,7,4]=>[6,5,8,2,3,1,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[4,6,1,5,8,3,7,2]=>[4,6,5,1,3,8,7,2]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[4,1,6,5,8,3,7,2]=>[6,4,5,3,1,8,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[1,4,6,5,8,3,7,2]=>[6,4,5,1,3,8,7,2]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[6,4,3,8,7,1,5,2]=>[4,8,6,3,7,1,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[6,4,8,3,7,1,5,2]=>[4,6,3,8,1,7,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[2,6,8,5,3,7,1,4]=>[2,6,3,8,5,1,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[4,6,1,8,5,7,3,2]=>[6,4,8,5,1,7,3,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[1,4,6,8,5,7,3,2]=>[6,4,5,1,8,7,3,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[4,6,1,8,5,3,7,2]=>[6,4,5,8,3,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[2,6,8,5,1,7,3,4]=>[2,6,5,1,8,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[4,6,8,3,5,1,7,2]=>[4,3,6,5,8,7,1,2]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[4,6,8,3,1,5,7,2]=>[4,3,6,8,1,5,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[4,6,3,1,8,5,7,2]=>[6,4,3,8,5,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[4,6,3,8,1,5,7,2]=>[4,3,6,5,1,8,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[4,6,3,8,5,7,1,2]=>[1,6,4,3,8,5,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[4,3,6,8,1,5,7,2]=>[4,3,6,1,5,8,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[4,1,3,6,8,7,5,2]=>[8,6,4,1,3,7,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[4,3,6,1,8,7,5,2]=>[8,6,4,3,7,5,1,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[4,3,6,8,1,7,5,2]=>[6,4,3,8,7,1,5,2]=>[[1,2],[3,5],[4,7],[6,8]]=>[4,2,2]
[6,5,2,8,7,3,1,4]=>[2,8,6,5,7,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[6,2,5,8,7,1,3,4]=>[2,1,8,3,6,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[4,6,3,8,1,7,5,2]=>[6,4,8,3,7,1,5,2]=>[[1,2],[3,5],[4,7],[6,8]]=>[4,2,2]
[4,6,3,1,8,7,5,2]=>[8,6,4,7,3,5,1,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[4,1,6,3,8,7,5,2]=>[8,6,4,7,3,1,5,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[1,4,6,3,8,7,5,2]=>[8,6,4,7,1,3,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[4,1,6,8,3,7,5,2]=>[6,4,8,3,1,7,5,2]=>[[1,2],[3,5],[4,7],[6,8]]=>[4,2,2]
[4,6,8,1,3,7,5,2]=>[6,4,1,8,3,7,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[6,2,8,5,7,1,3,4]=>[2,1,6,3,8,5,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[2,4,8,7,1,5,3,6]=>[2,8,4,1,7,5,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[4,2,8,7,5,3,1,6]=>[4,8,7,5,2,3,1,6]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[6,4,1,8,7,5,3,2]=>[8,6,7,4,5,3,1,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[6,1,4,8,7,5,3,2]=>[8,6,7,4,1,5,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[4,2,8,7,5,1,3,6]=>[2,4,8,7,1,5,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[2,4,8,7,3,5,1,6]=>[4,2,8,3,5,7,1,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[2,3,4,7,1,8,6,5]=>[7,8,2,3,4,6,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[2,4,5,6,7,8,9,3,1]=>[4,2,5,6,7,8,9,3,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>[2,2,5]
[2,3,6,7,4,8,5,1]=>[6,7,2,3,8,4,5,1]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,3,7,1,4,8,6,5]=>[7,8,2,3,1,6,4,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[2,6,1,3,7,8,5,4]=>[6,7,2,1,8,3,5,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[2,5,6,7,4,8,1,3]=>[2,5,1,6,7,4,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[2,6,7,3,4,8,5,1]=>[6,2,7,3,8,4,5,1]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[1,5,3,2,6,7,4,8]=>[5,6,3,1,2,7,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[1,7,3,2,8,5,4,6]=>[5,7,8,3,1,2,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[1,7,3,2,5,8,4,6]=>[3,7,5,1,2,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[1,3,2,7,5,4,8,6]=>[7,8,5,3,1,2,4,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[6,5,2,4,3,7,1,8]=>[6,2,5,4,3,7,1,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[3,6,4,8,2,1,5,7]=>[3,6,4,2,1,8,5,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[1,6,2,8,5,3,4,7]=>[1,6,5,8,2,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[4,6,2,3,7,5,1,8]=>[6,2,4,7,3,5,1,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[4,7,2,3,6,5,1,8]=>[7,2,4,3,6,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[5,3,2,7,4,6,1,8]=>[5,3,7,2,4,6,1,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[4,6,2,3,5,7,1,8]=>[2,4,3,6,5,7,1,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[1,5,7,2,8,4,3,6]=>[5,1,7,8,4,2,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[3,5,2,1,8,6,4,7]=>[5,8,3,6,2,1,4,7]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[4,1,8,2,3,5,7,6]=>[8,1,4,2,3,7,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[2,3,1,8,4,5,7,6]=>[8,2,3,7,1,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[7,3,2,1,4,5,8,6]=>[7,3,2,8,1,4,5,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[7,8,1,4,3,5,2,6]=>[1,7,4,3,8,5,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[7,1,2,3,4,6,8,5]=>[7,1,2,3,4,6,8,5]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[6,1,2,3,4,8,7,5]=>[8,6,1,2,3,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,8,2,3,4,7,6,5]=>[8,7,1,2,3,6,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[8,1,2,3,4,6,7,5]=>[6,1,2,3,4,8,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[8,3,2,1,4,5,7,6]=>[8,3,2,1,7,4,5,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[3,8,2,1,5,6,4,7]=>[3,8,2,1,5,6,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[3,8,2,1,6,5,4,7]=>[6,8,3,2,5,1,4,7]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[1,7,8,3,5,4,2,6]=>[1,7,8,3,5,4,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,8,4,6,2,1,5,7]=>[3,4,2,8,6,1,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[8,4,2,5,3,1,6,7]=>[4,5,2,8,3,1,6,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[8,3,2,5,4,1,6,7]=>[3,5,8,2,4,1,6,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[2,4,7,8,1,5,3,6]=>[4,2,1,7,5,8,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[1,8,7,3,5,4,2,6]=>[1,8,7,5,3,4,2,6]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[5,1,8,2,7,4,3,6]=>[5,1,8,7,4,2,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[5,1,7,2,8,4,3,6]=>[5,4,7,8,1,2,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[6,1,2,8,5,3,4,7]=>[1,6,2,8,5,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[7,1,8,3,5,4,2,6]=>[1,7,8,5,3,4,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[7,8,2,3,4,6,1,5]=>[2,3,4,1,7,8,6,5]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[6,7,1,3,4,8,2,5]=>[3,1,4,6,7,2,8,5]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[6,8,1,3,4,7,2,5]=>[3,1,4,6,2,8,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[1,7,2,3,4,6,8,5]=>[7,1,2,3,6,4,8,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[1,6,2,3,4,8,7,5]=>[8,6,1,2,7,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[7,6,2,3,4,1,8,5]=>[7,2,3,6,8,4,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[8,6,2,3,4,1,7,5]=>[6,2,3,8,7,4,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[8,1,7,3,5,4,2,6]=>[1,8,7,3,5,4,2,6]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[8,3,2,7,4,5,1,6]=>[3,2,8,4,7,5,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[7,6,2,3,4,8,1,5]=>[2,3,4,7,6,1,8,5]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[8,6,2,3,4,7,1,5]=>[2,3,4,6,8,1,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[6,3,4,8,7,5,1,2]=>[1,8,6,3,7,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[4,8,7,3,5,6,1,2]=>[1,4,3,8,5,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[5,8,4,2,1,6,7,3]=>[5,4,8,2,6,1,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[5,3,7,2,6,1,8,4]=>[5,7,3,2,6,8,1,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[4,8,2,5,1,7,6,3]=>[8,4,5,2,7,6,1,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[5,2,8,3,6,7,1,4]=>[2,5,3,1,8,6,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[2,8,7,6,4,1,3,5]=>[2,1,8,7,6,4,3,5]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[2,8,7,6,3,1,4,5]=>[2,3,8,7,6,1,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[1,8,7,6,2,4,3,5]=>[1,8,4,7,6,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[6,1,2,8,5,7,3,4]=>[1,6,8,2,3,5,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[6,2,1,8,5,7,3,4]=>[2,6,8,1,5,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[6,3,1,8,5,7,2,4]=>[3,6,1,8,5,2,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[6,4,2,1,7,5,8,3]=>[6,7,4,5,2,1,8,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[6,1,3,8,5,2,7,4]=>[6,8,1,5,3,7,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[1,3,7,2,6,8,5,4]=>[7,6,3,1,2,8,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[3,2,6,7,5,8,1,4]=>[3,6,2,1,7,5,8,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[2,8,7,6,4,3,1,5]=>[4,8,7,6,2,3,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[3,8,7,6,2,1,5,4]=>[8,3,7,6,2,5,1,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[4,8,7,6,2,1,3,5]=>[2,4,8,7,1,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[4,8,7,6,1,3,2,5]=>[1,8,4,7,3,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[3,8,7,6,4,1,2,5]=>[1,3,8,7,6,4,2,5]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[3,8,7,6,4,2,1,5]=>[3,8,7,6,4,2,1,5]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[4,3,7,2,6,5,1,8]=>[7,4,3,2,6,5,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[3,4,6,1,5,7,2,8]=>[3,4,6,1,5,7,2,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[1,6,8,5,7,3,4,2]=>[6,1,5,3,8,7,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[2,4,1,5,8,6,3,7]=>[4,8,2,5,1,6,3,7]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[4,6,1,2,5,8,3,7]=>[4,1,6,2,5,3,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[5,6,7,2,1,4,8,3]=>[5,2,6,7,4,1,8,3]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[7,8,6,5,1,2,4,3]=>[7,1,2,8,6,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[2,3,1,6,8,5,7,4]=>[6,5,2,3,1,8,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[7,3,2,5,1,4,8,6]=>[7,3,2,8,1,5,4,6]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[7,1,4,2,3,6,8,5]=>[7,1,2,6,4,3,8,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[1,5,8,3,4,6,7,2]=>[5,1,3,4,6,8,7,2]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[8,3,1,2,4,7,6,5]=>[8,7,1,3,2,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[2,3,8,1,6,5,4,7]=>[6,8,2,3,1,5,4,7]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[8,1,4,7,2,5,3,6]=>[4,1,8,2,5,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[3,5,2,4,1,7,8,6]=>[7,3,2,5,4,1,8,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[6,1,2,7,5,3,8,4]=>[6,7,5,1,8,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[8,5,2,3,6,1,7,4]=>[5,2,8,3,6,7,1,4]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[8,1,6,3,5,7,2,4]=>[3,1,2,8,6,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[8,3,2,6,4,7,1,5]=>[3,2,8,6,4,1,7,5]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[2,3,8,7,6,5,1,4]=>[2,8,7,6,3,1,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[4,2,8,7,3,6,1,5]=>[4,2,8,3,7,1,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[4,5,8,7,1,2,6,3]=>[4,1,8,5,7,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[4,5,8,7,3,2,1,6]=>[4,8,5,3,7,2,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[2,5,8,3,7,6,1,4]=>[2,8,5,3,1,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[1,6,8,4,3,2,7,5]=>[6,8,4,7,1,3,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[5,6,8,4,3,2,1,7]=>[5,6,4,8,3,2,1,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[7,1,2,8,6,5,4,3]=>[7,8,6,5,1,4,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[7,3,1,8,6,2,5,4]=>[7,3,8,6,1,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[7,1,4,8,3,2,6,5]=>[7,4,8,1,3,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[3,1,5,8,7,2,6,4]=>[8,3,5,7,1,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[1,4,5,8,2,7,6,3]=>[8,4,5,1,7,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[2,4,5,8,3,7,1,6]=>[4,2,5,3,1,8,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[7,2,1,4,8,6,5,3]=>[7,8,6,2,4,1,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[7,2,1,3,8,6,5,4]=>[7,8,6,2,5,1,3,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[1,6,5,4,8,2,7,3]=>[6,5,4,8,1,2,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[1,6,3,4,8,2,7,5]=>[6,8,1,3,4,2,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[3,6,5,4,8,2,1,7]=>[6,5,3,4,2,8,1,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[7,6,5,2,3,8,1,4]=>[2,3,7,6,5,1,8,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[7,6,1,4,2,8,5,3]=>[7,6,8,1,4,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[7,6,2,4,3,8,1,5]=>[2,7,4,6,3,1,8,5]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[7,1,5,2,3,8,6,4]=>[7,8,1,5,2,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[2,6,5,4,3,8,1,7]=>[6,5,4,2,3,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[7,6,1,4,3,2,8,5]=>[7,6,8,1,4,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[7,1,5,4,3,2,8,6]=>[7,8,5,4,1,3,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[3,4,2,6,7,8,1,5]=>[3,4,2,1,6,7,8,5]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[3,1,4,2,6,8,7,5]=>[8,6,3,4,1,2,7,5]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[8,3,4,2,6,1,7,5]=>[8,3,4,2,6,7,1,5]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[4,7,1,2,8,5,3,6]=>[4,7,1,5,8,2,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[4,8,1,2,7,5,3,6]=>[4,8,1,2,7,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[7,3,4,2,6,1,8,5]=>[7,3,4,6,2,8,1,5]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[7,4,1,2,8,5,3,6]=>[1,7,8,4,5,2,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[4,7,5,1,6,8,3,2]=>[4,7,5,6,8,1,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[4,6,1,2,7,5,3,8]=>[6,4,1,7,5,2,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[8,4,3,1,5,6,7,2]=>[4,3,8,1,5,6,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[4,5,3,1,8,6,7,2]=>[4,8,5,3,6,1,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[5,4,3,8,1,6,7,2]=>[5,4,3,6,1,8,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[8,5,3,4,1,6,7,2]=>[3,5,4,8,6,1,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[6,4,8,2,1,5,3,7]=>[4,6,2,8,5,1,3,7]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[6,7,3,2,5,1,4,8]=>[3,2,6,7,1,5,4,8]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[5,7,1,4,6,8,3,2]=>[5,4,1,7,6,8,3,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[5,4,3,7,1,6,8,2]=>[5,4,3,7,1,6,8,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[8,2,7,6,5,4,1,3]=>[2,8,7,6,1,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[7,2,8,6,5,4,3,1]=>[7,8,6,5,4,2,3,1]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[8,7,2,6,5,4,1,3]=>[2,8,7,1,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[3,2,8,7,6,5,1,4]=>[3,8,7,6,2,1,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[4,8,7,6,5,3,1,2]=>[1,8,7,6,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[7,8,6,1,5,4,3,2]=>[7,8,6,1,5,4,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[7,3,8,6,5,4,2,1]=>[7,8,6,5,3,4,2,1]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[4,8,5,7,6,3,2,1]=>[8,4,7,5,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[2,8,7,6,3,5,4,1]=>[8,2,7,6,5,3,4,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[8,5,6,1,3,2,4,7]=>[1,5,3,6,8,2,4,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[8,6,1,5,3,2,4,7]=>[1,6,8,3,5,2,4,7]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[8,1,7,5,3,2,4,6]=>[1,5,8,7,3,2,4,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[8,6,1,4,5,2,3,7]=>[1,4,2,6,8,5,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[8,6,3,1,5,2,4,7]=>[3,1,6,8,5,2,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[8,5,2,6,1,4,3,7]=>[5,2,6,8,1,4,3,7]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[8,5,2,1,7,4,3,6]=>[5,4,8,7,2,1,3,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[7,8,2,1,5,4,3,6]=>[2,7,8,5,4,1,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[7,8,3,1,5,2,4,6]=>[3,1,5,7,8,2,4,6]=>[[1,2,4,6],[3,5,7,8]]=>[3,2,2,1]
[8,2,7,5,1,3,4,6]=>[2,1,3,8,5,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,4,1,7,5,2,3,6]=>[1,4,8,5,7,2,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[8,2,7,1,5,4,3,6]=>[2,8,7,1,5,4,3,6]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[8,2,6,1,7,4,3,5]=>[2,6,8,4,7,1,3,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[8,1,5,7,3,2,6,4]=>[5,8,1,7,3,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[5,7,8,1,3,2,6,4]=>[5,7,1,3,8,6,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[8,2,6,1,5,7,3,4]=>[2,6,1,3,8,5,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[5,8,1,6,7,2,3,4]=>[1,2,5,6,3,8,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[5,7,6,1,8,2,3,4]=>[1,2,7,5,6,8,3,4]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[6,7,2,5,1,8,3,4]=>[2,6,1,7,5,8,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[6,7,3,8,1,2,4,5]=>[1,3,2,6,7,4,8,5]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[7,5,4,1,8,2,3,6]=>[1,5,7,4,2,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[7,6,1,4,8,2,3,5]=>[1,2,7,4,6,3,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[8,3,7,4,1,2,5,6]=>[1,3,4,8,2,7,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[8,5,1,7,3,2,4,6]=>[3,5,1,8,7,2,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[7,1,8,4,3,6,2,5]=>[4,3,7,8,1,2,6,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[8,4,5,1,7,2,3,6]=>[1,4,5,2,8,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[5,6,8,1,7,2,3,4]=>[1,2,5,6,8,3,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[7,3,1,8,5,6,2,4]=>[3,1,7,8,5,2,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[8,3,4,7,1,2,6,5]=>[8,1,3,4,2,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,2,7,4,1,3,6,5]=>[8,2,1,7,4,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[7,4,3,8,1,2,6,5]=>[7,1,4,8,3,2,6,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[2,6,8,7,1,5,4,3]=>[8,6,2,7,1,5,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[7,8,5,2,3,6,4,1]=>[5,2,7,8,6,3,4,1]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[3,5,2,4,6,8,1,7]=>[3,2,5,4,6,1,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[2,4,5,7,3,6,8,1]=>[4,2,5,3,7,6,8,1]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[2,4,5,3,6,8,1,7]=>[4,2,5,3,6,1,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[5,2,4,6,8,1,3,7]=>[2,1,5,4,6,3,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[4,3,5,2,6,8,1,7]=>[4,3,5,2,6,1,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[4,3,5,7,2,8,1,6]=>[4,3,5,2,7,1,8,6]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[4,6,3,7,2,5,8,1]=>[4,3,6,2,7,5,8,1]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[4,6,3,1,7,8,2,5]=>[4,3,6,1,7,2,8,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[4,3,5,1,7,8,2,6]=>[4,3,5,1,7,2,8,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[5,7,1,3,4,8,2,6]=>[3,1,5,4,7,2,8,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[5,7,1,3,4,6,8,2]=>[3,1,5,4,7,6,8,2]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[4,5,7,1,3,6,8,2]=>[4,1,5,3,7,6,8,2]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[4,6,3,5,1,7,8,2]=>[4,3,6,5,7,1,8,2]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[4,6,3,5,7,2,8,1]=>[4,3,6,5,7,2,8,1]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[3,5,6,4,1,7,8,2]=>[5,3,6,4,7,1,8,2]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[3,1,5,6,7,4,8,2]=>[5,3,6,1,7,4,8,2]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[5,1,6,7,3,4,8,2]=>[5,1,6,3,7,4,8,2]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[6,4,7,1,3,5,8,2]=>[4,1,6,3,7,5,8,2]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[1,6,7,3,4,5,8,2]=>[3,1,6,4,7,5,8,2]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[2,6,7,4,5,8,1,3]=>[2,1,6,4,7,5,8,3]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[2,6,7,4,8,1,3,5]=>[2,1,6,4,7,3,8,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[5,3,6,1,2,7,8,4]=>[5,1,6,3,7,2,8,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[3,5,2,6,1,7,8,4]=>[5,3,6,2,7,1,8,4]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[3,5,2,6,7,4,8,1]=>[5,3,6,2,7,4,8,1]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,2,3,6,7,4,8,1]=>[5,2,6,3,7,4,8,1]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[5,2,3,6,1,7,8,4]=>[5,2,6,3,7,1,8,4]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[5,2,6,1,3,7,8,4]=>[5,2,6,1,7,3,8,4]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[6,3,7,2,4,5,8,1]=>[3,2,6,4,7,5,8,1]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[3,5,7,2,8,1,4,6]=>[3,2,5,1,7,4,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[7,2,4,6,8,1,3,5]=>[2,1,4,3,7,6,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[7,1,3,4,6,8,2,5]=>[3,1,4,2,7,6,8,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[3,7,2,4,6,8,1,5]=>[3,2,4,1,7,6,8,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[6,3,7,2,5,8,1,4]=>[3,2,6,1,7,5,8,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[6,3,5,7,2,8,1,4]=>[3,2,6,5,7,1,8,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[6,3,5,7,2,4,8,1]=>[3,2,6,5,7,4,8,1]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[6,2,4,5,7,3,8,1]=>[4,2,6,5,7,3,8,1]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[6,2,4,5,1,7,8,3]=>[4,2,6,5,7,1,8,3]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[4,7,1,2,5,6,8,3]=>[4,1,5,2,7,6,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[2,6,7,5,8,1,3,4]=>[2,1,6,3,7,5,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[4,6,7,1,2,5,8,3]=>[4,1,6,2,7,5,8,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[5,6,2,4,7,3,8,1]=>[5,2,6,4,7,3,8,1]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,4,2,6,7,3,8,1]=>[5,4,6,2,7,3,8,1]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,4,2,6,1,7,8,3]=>[5,4,6,2,7,1,8,3]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[1,5,4,6,2,7,8,3]=>[5,4,6,1,7,2,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[5,6,4,1,2,7,8,3]=>[5,1,6,4,7,2,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[6,4,5,1,2,7,8,3]=>[4,1,6,5,7,2,8,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[6,3,5,1,7,8,2,4]=>[3,1,6,5,7,2,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[6,5,7,2,8,1,3,4]=>[2,1,6,5,7,3,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[5,6,4,7,1,3,8,2]=>[5,1,6,4,7,3,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[7,5,3,2,4,8,1,6]=>[3,5,7,2,4,1,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[8,5,4,2,1,6,3,7]=>[5,4,8,6,2,1,3,7]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[8,5,3,4,1,6,2,7]=>[3,5,4,8,6,1,2,7]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[8,4,5,3,1,6,2,7]=>[4,5,3,8,6,1,2,7]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[7,5,4,2,1,8,3,6]=>[5,7,4,2,8,1,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[7,5,4,2,1,6,8,3]=>[5,7,4,6,2,1,8,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[5,6,7,3,1,4,8,2]=>[3,5,6,7,4,1,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[6,7,3,4,1,5,8,2]=>[3,4,6,7,5,1,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[5,6,7,3,1,8,2,4]=>[3,5,6,7,1,8,2,4]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[5,6,3,7,2,4,8,1]=>[3,5,6,2,7,4,8,1]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[6,7,3,2,4,8,1,5]=>[3,2,6,7,4,1,8,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[7,6,4,2,1,3,8,5]=>[7,2,6,8,4,1,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[7,6,3,4,1,2,8,5]=>[7,1,3,6,8,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[6,7,3,2,5,1,8,4]=>[6,3,7,5,2,8,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[6,5,3,2,7,4,8,1]=>[6,5,7,3,2,4,8,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[6,4,5,2,7,3,8,1]=>[4,6,5,7,2,3,8,1]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[6,4,5,2,7,8,1,3]=>[2,4,6,5,1,7,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[7,4,5,2,6,1,8,3]=>[4,5,7,6,2,8,1,3]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[7,5,6,2,1,3,8,4]=>[5,2,7,6,8,1,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[6,7,3,5,1,2,8,4]=>[6,1,3,7,5,8,2,4]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[5,6,4,2,7,8,1,3]=>[2,5,6,4,1,7,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[6,5,7,2,1,4,8,3]=>[6,2,5,7,4,1,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[5,7,8,3,6,4,1,2]=>[1,5,7,3,8,6,4,2]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[3,7,8,5,6,4,1,2]=>[1,7,3,5,8,6,4,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,7,8,5,6,1,4,2]=>[3,7,1,5,8,6,4,2]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[1,7,8,5,6,3,4,2]=>[7,1,3,5,8,6,4,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,7,5,8,6,3,4,2]=>[7,1,8,5,3,6,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[3,7,5,8,6,4,1,2]=>[1,7,8,5,3,6,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[5,7,3,8,6,4,1,2]=>[1,7,5,8,6,3,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[7,3,8,5,6,4,1,2]=>[1,7,3,8,5,6,4,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[7,3,5,8,6,4,1,2]=>[1,7,8,3,5,6,4,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,5,7,8,6,4,1,2]=>[1,7,5,3,8,6,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[1,5,7,8,6,3,4,2]=>[7,1,5,3,8,6,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[1,5,7,8,3,6,4,2]=>[5,7,3,1,8,6,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[3,5,7,8,1,6,4,2]=>[5,3,7,8,1,6,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[7,3,5,8,6,1,4,2]=>[3,7,8,1,5,6,4,2]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[7,3,8,5,6,1,4,2]=>[3,7,1,8,5,6,4,2]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[7,8,1,5,6,3,4,2]=>[5,1,3,7,8,6,4,2]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[7,1,8,5,6,3,4,2]=>[7,1,3,8,5,6,4,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[7,1,5,8,6,3,4,2]=>[7,1,8,3,5,6,4,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,3,7,8,5,6,4,2]=>[7,5,1,3,8,6,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[5,1,7,3,8,6,4,2]=>[7,5,8,6,3,1,4,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[7,1,5,3,8,6,4,2]=>[7,8,5,6,1,3,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[7,1,5,8,3,6,4,2]=>[7,5,1,8,3,6,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[7,8,1,5,3,6,4,2]=>[7,5,1,8,6,3,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[7,8,3,5,1,6,4,2]=>[5,3,7,8,6,4,1,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[7,3,5,8,1,6,4,2]=>[5,3,7,8,6,1,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[5,3,7,1,8,6,4,2]=>[7,5,8,3,6,4,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[3,5,7,1,8,6,4,2]=>[7,5,3,8,6,4,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[1,7,5,3,8,6,4,2]=>[7,8,5,6,3,1,4,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[5,7,3,1,8,6,4,2]=>[7,5,8,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[5,7,3,8,6,1,4,2]=>[3,7,5,8,6,1,4,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[1,7,5,8,3,6,4,2]=>[5,7,8,3,1,6,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[1,7,8,5,3,6,4,2]=>[7,8,1,5,6,3,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[5,7,8,3,6,1,4,2]=>[3,5,7,1,8,6,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[7,5,8,6,1,3,4,2]=>[3,1,7,8,5,6,4,2]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[5,7,8,1,6,3,4,2]=>[5,1,7,3,8,6,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[5,7,8,1,3,6,4,2]=>[5,7,1,3,8,6,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[3,7,8,1,5,6,4,2]=>[5,3,7,1,8,6,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[1,7,8,3,5,6,4,2]=>[7,3,1,5,8,6,4,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[3,7,1,8,5,6,4,2]=>[7,3,8,5,1,6,4,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[5,7,1,8,3,6,4,2]=>[5,7,8,1,6,3,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[5,7,1,8,6,3,4,2]=>[7,1,5,8,6,3,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[7,5,1,8,6,3,4,2]=>[7,1,8,5,6,3,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[7,5,8,1,6,3,4,2]=>[5,1,7,8,3,6,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[7,8,5,1,6,3,4,2]=>[5,1,7,8,6,3,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[7,8,5,1,3,6,4,2]=>[5,7,1,8,6,3,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[7,5,8,1,3,6,4,2]=>[5,7,1,8,3,6,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[7,5,1,8,3,6,4,2]=>[5,7,8,6,1,3,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[7,5,1,3,8,6,4,2]=>[7,8,5,1,6,3,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[5,7,1,3,8,6,4,2]=>[7,5,8,1,6,3,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[1,5,3,7,8,6,4,2]=>[7,5,8,3,1,6,4,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[3,5,1,7,8,6,4,2]=>[7,5,3,8,6,1,4,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[5,3,1,7,8,6,4,2]=>[7,5,8,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[7,3,1,5,8,6,4,2]=>[7,8,3,5,6,1,4,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[7,3,8,1,5,6,4,2]=>[7,3,5,1,8,6,4,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[7,8,1,3,5,6,4,2]=>[5,3,1,7,8,6,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[7,1,8,3,5,6,4,2]=>[7,3,1,8,5,6,4,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[7,1,3,5,8,6,4,2]=>[7,8,3,1,5,6,4,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[3,1,5,7,8,6,4,2]=>[7,5,3,8,1,6,4,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[5,7,3,4,6,8,1,2]=>[1,3,5,4,7,6,8,2]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[5,7,3,4,8,6,1,2]=>[1,7,3,5,8,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[5,7,3,4,1,8,6,2]=>[7,3,5,8,4,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[5,7,3,4,1,6,8,2]=>[3,5,4,7,6,1,8,2]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[5,7,3,4,6,1,2,8]=>[1,3,5,4,7,6,2,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[5,7,3,1,4,6,2,8]=>[3,5,7,1,4,6,2,8]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[5,7,3,1,4,6,8,2]=>[3,5,7,1,4,6,8,2]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[5,7,3,1,4,8,6,2]=>[7,3,5,8,4,1,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[5,7,3,1,4,8,2,6]=>[3,5,4,7,1,2,8,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[5,3,7,4,1,2,8,6]=>[7,1,5,8,3,4,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[5,3,7,4,1,2,6,8]=>[1,5,3,7,4,2,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[5,3,7,1,4,2,8,6]=>[7,3,5,8,1,4,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[3,7,5,1,2,8,6,4]=>[7,8,1,5,3,6,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[7,8,3,5,1,2,6,4]=>[5,1,3,7,8,6,2,4]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[3,7,5,1,2,6,8,4]=>[7,1,3,5,6,2,8,4]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[6,1,4,3,5,2,8,7]=>[8,6,1,4,3,5,2,7]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[2,5,7,3,8,4,1,6]=>[5,2,7,3,8,4,1,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[5,4,7,8,6,1,3,2]=>[7,1,5,4,8,6,3,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[5,1,4,6,3,2,8,7]=>[8,5,4,1,6,3,2,7]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[3,8,6,7,5,4,1,2]=>[1,8,6,3,7,5,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[2,5,3,4,8,1,7,6]=>[8,2,5,3,4,1,7,6]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[8,7,1,2,5,3,4,6]=>[1,2,8,3,5,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[5,1,8,2,3,4,7,6]=>[8,1,2,5,3,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[5,4,7,6,2,8,1,3]=>[2,7,5,4,6,1,8,3]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[3,7,8,1,5,4,6,2]=>[3,7,5,1,8,4,6,2]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[7,1,3,4,6,8,5,2]=>[7,3,1,4,6,8,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[4,7,6,1,8,3,5,2]=>[4,7,6,1,8,3,5,2]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[4,7,2,6,3,8,5,1]=>[7,4,6,2,8,3,5,1]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[4,7,8,6,3,1,2,5]=>[1,4,7,3,8,6,2,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[6,7,2,4,8,5,3,1]=>[6,7,2,8,4,5,3,1]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[2,8,3,6,7,5,1,4]=>[2,8,3,1,6,7,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[4,7,3,2,1,8,6,5]=>[7,8,4,6,3,2,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[6,4,8,1,7,3,2,5]=>[4,6,1,8,7,3,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[4,8,7,2,3,1,5,6]=>[2,4,3,8,1,7,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[7,6,8,1,3,5,2,4]=>[3,1,2,7,6,8,5,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[6,7,5,2,3,1,8,4]=>[6,2,7,5,8,3,1,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[6,4,2,1,8,5,7,3]=>[6,4,8,5,2,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[7,2,1,5,6,8,4,3]=>[7,5,2,1,6,8,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[8,7,2,6,4,1,5,3]=>[8,2,4,7,6,5,1,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[2,1,5,7,8,4,6,3]=>[5,4,2,1,7,8,6,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[2,5,7,8,3,6,1,4]=>[2,5,3,1,7,8,6,4]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[6,4,1,5,7,2,8,3]=>[4,6,5,7,1,8,2,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[7,4,8,1,2,5,6,3]=>[4,1,7,2,5,8,6,3]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[4,2,7,8,6,3,5,1]=>[4,7,2,8,3,6,5,1]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[6,1,7,4,3,2,8,5]=>[6,7,8,4,3,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[6,8,3,4,2,1,7,5]=>[6,3,8,4,7,2,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[4,2,6,1,5,7,8,3]=>[4,6,2,1,5,7,8,3]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[6,5,8,3,7,4,1,2]=>[1,6,5,8,3,7,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[7,1,4,8,3,5,6,2]=>[4,1,7,3,5,8,6,2]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[2,5,7,4,8,6,1,3]=>[2,7,5,1,8,4,6,3]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[6,3,7,2,8,5,1,4]=>[3,6,7,2,8,1,5,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[5,2,8,4,7,6,1,3]=>[2,8,5,1,7,4,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[6,2,4,8,7,5,1,3]=>[2,8,6,1,7,4,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[2,4,5,8,7,6,1,3]=>[2,8,7,1,4,5,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[1,3,4,6,2,8,7,5]=>[8,6,3,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[5,2,3,6,1,8,7,4]=>[8,5,2,6,3,7,1,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[6,1,3,8,7,2,5,4]=>[8,1,6,7,3,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[3,1,5,6,2,8,7,4]=>[8,5,3,6,1,7,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[1,2,4,6,3,8,7,5]=>[8,6,4,1,2,7,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[4,1,5,2,8,7,6,3]=>[8,7,4,5,6,1,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[5,1,3,7,2,8,6,4]=>[7,5,8,1,3,6,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[2,6,1,4,3,8,7,5]=>[8,6,7,2,1,4,3,5]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[3,6,2,4,1,8,7,5]=>[8,6,3,2,7,4,1,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[7,2,3,5,1,8,6,4]=>[7,8,2,3,5,6,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[7,3,4,1,8,6,5,2]=>[7,8,3,6,4,5,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[3,4,5,1,8,7,6,2]=>[8,7,3,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[1,4,5,2,8,7,6,3]=>[8,7,4,5,1,6,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[1,6,4,2,8,7,5,3]=>[8,6,7,4,5,1,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[5,6,3,1,8,7,4,2]=>[8,5,6,7,3,4,1,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[7,4,2,5,1,8,6,3]=>[7,4,8,5,2,6,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[4,6,2,7,5,1,8,3]=>[6,4,7,5,2,8,1,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[1,5,8,3,2,7,6,4]=>[8,5,7,1,6,3,2,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[4,5,8,2,1,7,6,3]=>[8,4,5,7,2,6,1,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[3,6,2,5,1,4,8,7]=>[8,3,2,1,6,5,4,7]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[2,4,8,7,1,3,6,5]=>[8,2,1,7,4,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[1,3,8,2,4,7,6,5]=>[8,7,3,1,2,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[6,3,1,7,2,8,5,4]=>[6,7,8,3,5,1,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[7,5,1,2,8,6,4,3]=>[7,8,5,1,6,4,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[1,6,2,3,8,7,5,4]=>[8,6,7,1,5,2,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,5,2,3,8,7,6,4]=>[8,7,5,1,6,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[4,7,5,6,8,3,1,2]=>[1,4,7,5,6,8,3,2]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[8,6,4,7,5,3,1,2]=>[1,6,8,7,4,5,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[1,6,3,7,5,8,4,2]=>[6,7,5,3,1,8,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[1,3,7,4,5,8,6,2]=>[7,8,1,3,4,5,6,2]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[6,8,4,7,5,3,1,2]=>[1,6,8,4,7,5,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[2,1,7,4,8,6,3,5]=>[4,7,8,2,1,3,6,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[1,8,6,3,7,5,4,2]=>[6,8,7,5,3,1,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[1,8,2,7,3,6,5,4]=>[8,7,1,6,2,5,3,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[2,1,3,8,4,7,5,6]=>[2,8,1,7,3,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[8,1,2,7,4,3,6,5]=>[8,1,7,6,2,4,3,5]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[8,7,2,1,5,4,3,6]=>[2,8,7,5,4,1,3,6]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[8,2,3,1,4,6,5,7]=>[2,8,3,1,6,4,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[2,4,8,3,1,5,6,7]=>[4,2,3,1,5,8,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[8,3,7,2,1,5,4,6]=>[3,8,2,5,7,1,4,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[1,3,7,2,8,4,6,5]=>[7,3,8,1,2,6,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[1,4,2,5,8,6,7,3]=>[4,8,5,1,2,6,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[5,4,6,2,7,1,3,8]=>[2,5,4,6,1,7,3,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[7,6,2,1,8,5,3,4]=>[2,7,6,8,5,1,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[1,7,5,8,6,4,3,2]=>[7,8,5,6,4,1,3,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[6,5,1,2,8,3,7,4]=>[6,5,1,8,2,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[6,8,4,1,3,7,5,2]=>[6,8,1,4,7,3,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[1,2,8,7,6,3,5,4]=>[8,1,7,6,5,2,3,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[8,2,1,7,6,4,3,5]=>[2,8,7,6,4,1,3,5]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[2,3,1,8,7,4,5,6]=>[2,3,8,7,1,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[5,8,2,1,7,6,3,4]=>[2,8,5,7,1,6,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[6,2,7,1,8,5,3,4]=>[2,6,7,8,1,5,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[8,7,1,6,5,4,3,2]=>[8,7,6,5,1,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[8]
[7,1,8,3,6,5,4,2]=>[7,8,6,1,5,3,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[4,1,8,7,5,6,3,2]=>[4,8,7,5,6,1,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[8,1,2,3,4,5,9,6,7]=>[1,8,2,3,4,5,9,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[8,1,2,9,3,4,5,6,7]=>[1,2,3,4,8,5,9,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[8,1,9,2,3,4,5,6,7]=>[1,2,3,4,5,8,9,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[9,1,2,10,3,4,5,6,7,8]=>[1,2,3,4,5,9,6,10,7,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,1]
[3,5,8,7,2,6,4,1]=>[8,3,5,7,2,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[5,8,2,7,1,6,4,3]=>[5,8,7,2,1,6,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[2,1,6,4,5,8,3,7]=>[6,2,4,1,5,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[4,6,3,8,5,2,1,7]=>[6,4,3,8,5,2,1,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[3,5,7,8,2,6,1,4]=>[3,2,5,1,7,8,6,4]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[5,6,2,4,1,3,8,7]=>[8,2,1,5,6,4,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[8,2,3,4,6,1,5,7]=>[2,3,4,1,6,8,5,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[7,2,3,4,6,1,8,5]=>[7,2,3,4,6,8,1,5]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[7,2,3,4,6,8,5,1]=>[7,2,3,4,6,8,5,1]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[5,2,3,4,8,7,1,6]=>[2,8,3,5,4,1,7,6]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[8,7,3,6,5,1,2,4]=>[1,3,8,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[8,2,7,5,1,6,3,4]=>[2,8,1,5,7,6,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[5,8,1,7,3,6,4,2]=>[5,8,7,1,3,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[8,2,7,3,1,6,4,5]=>[2,8,3,7,1,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[6,2,3,4,7,5,8,1]=>[6,2,3,7,4,5,8,1]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[6,2,3,4,8,5,1,7]=>[6,2,3,4,8,5,1,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[8,2,3,4,1,7,5,6]=>[2,8,3,4,1,7,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[6,2,3,4,1,8,5,7]=>[6,2,3,4,8,1,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[7,2,3,4,1,5,8,6]=>[7,2,3,4,8,1,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[1,2,3,4,8,7,5,6]=>[1,8,7,2,3,4,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[1,2,8,5,3,4,6,7]=>[1,5,2,8,3,4,6,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[1,8,4,2,3,5,6,7]=>[1,4,2,3,8,5,6,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[8,6,7,4,1,5,3,2]=>[4,6,8,7,5,3,1,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[7,1,8,4,6,5,2,3]=>[1,7,8,2,6,4,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[8,5,7,1,4,6,3,2]=>[5,4,1,8,7,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[6,4,8,5,1,7,3,2]=>[6,4,8,5,7,3,1,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[4,8,5,7,1,6,3,2]=>[4,5,8,7,6,1,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[3,5,8,7,1,2,6,4]=>[8,1,3,5,7,2,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[2,3,8,5,7,1,6,4]=>[8,2,3,5,7,1,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[3,5,8,7,1,6,2,4]=>[3,1,8,5,7,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[2,3,8,6,7,5,1,4]=>[2,8,3,6,1,7,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[4,1,8,6,2,7,5,3]=>[8,4,6,7,5,1,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[1,6,2,8,4,7,5,3]=>[6,8,7,1,4,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[1,3,8,5,7,2,6,4]=>[8,1,5,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[1,8,3,7,2,5,6,4]=>[8,1,3,5,2,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,1,8,2,3,5,6,4]=>[7,1,2,3,8,5,6,4]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[4,2,8,6,7,5,1,3]=>[2,8,4,6,1,7,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[4,8,3,6,1,7,5,2]=>[6,4,3,8,7,5,1,2]=>[[1,2],[3,5],[4,7],[6,8]]=>[4,2,2]
[8,3,7,4,5,1,6,2]=>[3,4,8,5,7,6,1,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[8,7,2,4,1,5,6,3]=>[4,2,8,1,7,5,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[4,7,1,8,2,6,5,3]=>[7,4,8,1,6,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[8,7,4,1,2,5,6,3]=>[4,1,8,2,7,5,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[8,2,7,1,6,3,4,5]=>[2,1,8,3,4,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[1,8,7,2,3,6,4,5]=>[1,8,2,3,7,6,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[1,8,7,2,6,3,4,5]=>[1,2,8,3,7,6,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[8,2,7,3,6,1,4,5]=>[2,3,1,8,4,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[1,8,7,3,6,2,4,5]=>[1,3,8,2,7,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,2,1,7,5,6,3,4]=>[2,8,1,7,3,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[8,7,3,1,5,6,2,4]=>[3,1,8,2,7,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[2,8,7,3,5,6,1,4]=>[2,3,1,8,7,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[8,3,1,6,7,5,2,4]=>[3,8,1,6,2,7,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[1,2,8,6,7,5,3,4]=>[1,8,6,2,7,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[8,3,7,2,5,6,1,4]=>[3,2,1,5,8,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[8,4,1,2,7,5,6,3]=>[8,1,4,7,2,5,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[1,2,8,6,7,3,5,4]=>[8,1,6,2,7,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[8,1,2,7,3,6,4,5]=>[1,8,2,7,3,4,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[8,1,7,3,6,2,4,5]=>[1,3,8,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,1,7,2,6,3,4,5]=>[1,2,8,3,7,4,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[8,7,1,2,3,6,4,5]=>[1,8,2,3,4,7,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[2,8,5,7,4,6,3,1]=>[8,2,5,4,7,6,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[8,3,5,7,4,2,6,1]=>[5,3,4,8,7,2,6,1]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[8,4,2,7,6,1,3,5]=>[2,4,8,1,7,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[4,8,1,7,6,3,2,5]=>[4,8,1,7,6,3,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[4,1,7,6,2,3,5,8]=>[1,4,7,2,6,3,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[3,7,1,8,6,2,5,4]=>[7,3,8,1,6,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[3,1,6,8,7,5,2,4]=>[3,8,6,1,7,2,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[7,3,5,8,4,2,6,1]=>[3,7,5,4,8,2,6,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[7,3,6,4,2,8,5,1]=>[7,6,3,8,4,2,5,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[7,8,3,6,2,5,4,1]=>[7,3,2,8,6,5,4,1]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[7,4,8,2,1,6,3,5]=>[4,2,7,8,1,6,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[8,7,4,6,3,2,5,1]=>[4,3,8,7,6,2,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[7,5,2,3,1,4,8,6]=>[7,2,3,8,5,1,4,6]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[7,4,6,2,3,8,1,5]=>[2,4,3,7,6,1,8,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[6,4,2,5,8,3,7,1]=>[4,6,5,2,3,8,7,1]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[5,8,1,3,2,4,6,7]=>[1,5,3,2,4,8,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[4,8,6,1,3,2,7,5]=>[8,1,6,4,7,3,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[8,4,6,2,1,3,7,5]=>[6,2,4,8,7,1,3,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[5,4,8,7,2,3,6,1]=>[2,5,8,4,3,7,6,1]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[5,7,4,2,8,3,6,1]=>[5,4,7,2,8,3,6,1]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[6,4,7,2,1,8,3,5]=>[4,6,2,7,8,1,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[6,5,3,4,1,2,8,7]=>[8,1,3,6,5,4,2,7]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[6,4,3,7,1,5,2,8]=>[4,6,3,7,1,5,2,8]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[7,4,2,5,6,1,3,8]=>[2,4,1,7,5,6,3,8]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[6,3,7,8,2,5,1,4]=>[3,2,6,1,7,8,5,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[7,3,5,6,4,2,1,8]=>[5,3,7,6,4,2,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[7,4,3,1,5,6,2,8]=>[4,3,7,5,1,6,2,8]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[5,3,7,2,8,6,4,1]=>[7,5,8,3,6,2,4,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[6,4,8,2,1,5,7,3]=>[4,6,8,2,1,5,7,3]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[6,4,3,1,8,2,7,5]=>[6,8,4,3,1,7,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[5,3,7,8,2,6,4,1]=>[5,7,3,2,8,6,4,1]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[5,3,7,6,8,2,4,1]=>[3,7,5,2,6,8,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[5,8,6,4,7,2,1,3]=>[2,5,8,6,4,7,1,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,8,6,7,5,3,2,1]=>[8,4,6,7,5,3,2,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[6,3,8,7,2,4,1,5]=>[3,2,8,6,4,7,1,5]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[5,3,8,7,2,6,4,1]=>[5,8,7,3,2,6,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[5,7,6,4,8,2,1,3]=>[2,7,5,6,4,8,1,3]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[6,4,2,8,1,7,3,5]=>[4,6,2,8,1,3,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[6,5,2,4,3,7,8,1]=>[6,2,5,4,3,7,8,1]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[5,4,6,2,8,7,1,3]=>[2,8,5,4,6,1,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[5,6,3,8,7,2,4,1]=>[3,8,5,6,2,7,4,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[5,7,4,3,6,8,1,2]=>[1,5,4,7,3,6,8,2]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[5,7,3,8,6,2,4,1]=>[3,7,5,8,2,6,4,1]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[5,6,8,3,7,2,4,1]=>[3,5,6,2,8,7,4,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[3,6,7,8,2,5,1,4]=>[3,2,1,6,7,8,5,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[5,7,8,2,6,4,1,3]=>[2,5,7,1,8,6,4,3]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[3,6,8,5,7,1,4,2]=>[3,6,5,1,8,7,4,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[3,6,2,5,7,8,1,4]=>[3,2,1,6,5,7,8,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[7,2,4,5,8,6,1,3]=>[2,7,1,4,8,5,6,3]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[4,2,5,6,7,1,8,3]=>[4,5,2,6,7,8,1,3]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[8,1,3,6,7,2,4,5]=>[3,1,2,4,6,8,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[8,1,4,2,7,5,3,6]=>[1,8,7,4,5,2,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[6,1,3,8,2,7,4,5]=>[1,6,8,3,2,4,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[6,2,7,3,1,5,8,4]=>[6,2,7,5,3,1,8,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[6,3,4,1,8,5,7,2]=>[6,3,4,8,5,1,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[3,7,4,1,8,5,6,2]=>[3,7,8,4,5,1,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[3,6,4,8,1,5,7,2]=>[3,6,4,5,1,8,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[1,5,8,4,2,6,3,7]=>[5,1,8,4,6,2,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[3,5,7,4,1,6,8,2]=>[5,3,4,7,6,1,8,2]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[3,5,7,1,2,6,4,8]=>[5,1,3,7,2,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[4,5,1,8,2,3,7,6]=>[8,1,4,5,2,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[6,3,1,8,5,2,4,7]=>[3,6,1,8,5,2,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[3,5,2,1,8,4,6,7]=>[5,3,2,1,8,4,6,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[7,5,1,2,3,8,6,4]=>[7,8,1,2,5,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[7,8,4,5,1,3,2,6]=>[4,1,5,7,8,3,2,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[1,4,2,6,5,7,3,8]=>[6,4,5,1,2,7,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[5,6,1,4,2,7,3,8]=>[5,6,1,4,7,2,3,8]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[6,7,2,4,3,5,1,8]=>[2,6,4,7,3,5,1,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[6,7,2,3,1,5,4,8]=>[6,2,3,7,5,1,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[2,4,1,6,5,7,3,8]=>[6,4,2,5,1,7,3,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[1,5,2,6,4,7,3,8]=>[5,6,4,1,2,7,3,8]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[2,5,1,6,4,7,3,8]=>[5,6,2,4,1,7,3,8]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[4,5,2,6,1,7,3,8]=>[4,5,6,2,7,1,3,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[6,7,4,5,1,3,2,8]=>[4,1,6,7,5,3,2,8]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[6,7,5,8,1,3,2,4]=>[1,6,3,7,5,8,2,4]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[4,5,1,3,2,7,6,8]=>[7,4,1,5,3,2,6,8]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[1,4,3,6,2,7,5,8]=>[6,4,3,1,7,2,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[4,5,2,3,1,7,6,8]=>[7,2,4,5,3,1,6,8]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[4,5,3,7,6,8,1,2]=>[1,7,4,5,3,6,8,2]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[4,6,5,7,3,8,1,2]=>[1,6,4,5,7,3,8,2]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[4,6,5,7,2,3,1,8]=>[2,6,4,5,7,3,1,8]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[3,5,1,6,4,7,2,8]=>[5,3,6,4,1,7,2,8]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[3,5,2,6,1,7,4,8]=>[5,3,6,2,7,1,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[2,4,3,6,1,7,5,8]=>[6,4,2,3,7,1,5,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[4,6,2,7,3,5,8,1]=>[4,2,6,7,3,5,8,1]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[3,6,2,7,5,4,8,1]=>[6,7,3,5,2,4,8,1]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[3,5,2,7,6,4,8,1]=>[7,5,3,6,2,4,8,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[1,5,7,4,3,8,2,6]=>[5,4,7,1,3,2,8,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[2,5,7,3,1,8,6,4]=>[7,5,8,2,6,3,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[1,5,7,2,8,3,6,4]=>[5,7,1,8,2,6,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[5,2,6,7,1,8,4,3]=>[5,6,7,2,8,4,1,3]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[2,1,5,6,8,4,3,7]=>[5,6,2,1,4,8,3,7]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[2,3,1,5,8,6,4,7]=>[5,8,2,3,1,6,4,7]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[1,3,7,2,8,5,4,6]=>[3,7,8,1,5,2,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[4,6,2,7,1,8,3,5]=>[4,2,6,7,1,8,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[1,5,4,3,6,8,2,7]=>[5,4,3,1,6,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[1,6,4,5,7,8,3,2]=>[6,4,1,5,7,8,3,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[2,5,1,7,8,6,3,4]=>[2,7,5,1,8,3,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[2,1,5,6,8,4,7,3]=>[5,6,2,1,4,8,7,3]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[1,3,6,2,8,4,7,5]=>[6,8,3,1,2,7,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[3,6,5,2,7,8,4,1]=>[6,5,3,7,2,8,4,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[6,2,4,7,5,8,3,1]=>[6,7,2,4,5,8,3,1]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[1,5,7,8,4,2,6,3]=>[5,7,1,4,8,6,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[3,7,4,1,8,6,2,5]=>[3,7,8,4,1,6,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[3,4,6,8,5,7,2,1]=>[6,3,4,5,8,7,2,1]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[4,5,6,2,8,7,3,1]=>[8,4,5,6,7,2,3,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[4,3,6,2,1,7,5,8]=>[6,4,3,7,2,1,5,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[4,6,3,1,7,5,2,8]=>[6,4,7,3,5,1,2,8]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[2,5,7,1,4,3,8,6]=>[7,5,2,1,8,4,3,6]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[4,3,6,1,7,5,2,8]=>[6,4,3,7,5,1,2,8]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[4,3,2,6,1,7,5,8]=>[6,4,3,2,7,1,5,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[5,3,2,1,6,4,7,8]=>[5,6,3,2,1,4,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,3,1,6,2,7,4,8]=>[5,6,3,7,1,2,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[5,3,6,4,2,1,7,8]=>[5,6,3,4,2,1,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,3,2,6,4,1,7,8]=>[5,6,3,2,4,1,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,2,1,6,3,7,4,8]=>[5,6,7,2,1,3,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[5,2,6,3,1,7,4,8]=>[5,6,7,2,3,1,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[4,2,6,3,1,7,8,5]=>[6,4,7,2,3,1,8,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[3,6,2,1,7,4,5,8]=>[3,6,2,7,1,4,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[3,5,7,2,8,6,4,1]=>[7,5,3,8,6,2,4,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[2,4,7,1,3,6,5,8]=>[7,2,1,4,3,6,5,8]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[2,6,1,3,7,5,4,8]=>[6,7,2,1,5,3,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[5,1,6,2,7,4,3,8]=>[5,6,7,4,1,2,3,8]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[5,4,2,6,3,1,7,8]=>[5,4,6,2,3,1,7,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,4,1,6,2,7,3,8]=>[5,4,6,7,1,2,3,8]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[5,4,1,6,3,2,7,8]=>[5,4,6,3,1,2,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[5,4,3,1,6,2,7,8]=>[5,4,3,6,1,2,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[7,2,8,1,5,4,3,6]=>[2,7,8,5,1,4,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[7,3,2,1,5,4,6,8]=>[3,7,5,2,1,4,6,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[5,2,7,6,8,4,1,3]=>[2,7,5,6,1,8,4,3]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[3,8,7,2,5,4,1,6]=>[3,8,2,7,5,4,1,6]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[7,5,1,6,8,4,3,2]=>[5,7,6,8,4,1,3,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[5,3,2,6,7,4,1,8]=>[5,6,3,2,7,4,1,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[4,3,7,2,5,6,1,8]=>[4,3,2,5,7,6,1,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[6,7,1,4,3,2,5,8]=>[1,6,7,4,3,2,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[3,7,1,6,5,2,4,8]=>[3,7,1,6,2,5,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[3,5,8,7,2,4,6,1]=>[3,2,8,5,4,7,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[2,5,6,4,7,1,3,8]=>[2,5,1,6,4,7,3,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[4,5,3,8,7,2,6,1]=>[4,8,5,3,2,7,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[1,4,5,3,7,8,2,6]=>[4,5,1,3,2,7,8,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[8,7,3,6,1,5,4,2]=>[8,3,7,1,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[2,5,8,7,4,6,1,3]=>[2,5,8,1,4,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[8,3,6,2,1,7,5,4]=>[6,8,3,7,5,2,1,4]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[2,3,1,8,4,7,6,5]=>[8,7,2,6,3,1,4,5]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[8,6,5,1,4,7,3,2]=>[6,8,1,5,4,7,3,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[1,7,5,3,8,2,6,4]=>[5,7,8,3,1,2,6,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[8,6,3,2,7,5,1,4]=>[3,6,8,7,2,1,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[2,7,5,1,3,8,6,4]=>[7,8,2,5,1,6,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[5,1,4,3,2,7,8,6]=>[7,5,4,1,3,2,8,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[3,7,8,5,2,4,1,6]=>[3,2,7,5,8,4,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[3,7,6,2,4,1,8,5]=>[7,3,6,2,8,4,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[1,6,8,2,5,7,4,3]=>[6,5,1,8,2,7,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[6,7,2,5,8,4,3,1]=>[6,7,2,5,8,4,3,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[5,2,7,8,4,3,1,6]=>[5,2,7,8,4,3,1,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[2,7,6,4,1,3,8,5]=>[7,2,6,8,1,4,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[4,1,7,6,3,2,8,5]=>[7,6,4,8,3,1,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[6,3,1,7,5,2,8,4]=>[6,7,5,3,8,1,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[6,2,7,5,3,1,8,4]=>[6,7,5,8,2,3,1,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[5,7,2,8,4,6,3,1]=>[5,7,2,8,4,6,3,1]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[8,4,7,3,1,6,5,2]=>[8,4,3,7,6,5,1,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[2,6,8,5,7,4,1,3]=>[2,6,5,1,8,7,4,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[5,7,4,6,2,1,8,3]=>[5,4,7,6,8,2,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[5,6,4,8,3,7,2,1]=>[5,6,4,3,8,7,2,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[6,7,1,8,3,4,2,5]=>[1,6,3,7,8,4,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[5,6,2,7,1,8,3,4]=>[2,5,6,7,1,8,3,4]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[6,7,2,4,3,8,1,5]=>[2,6,4,7,3,1,8,5]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[1,8,2,7,4,5,3,6]=>[1,8,2,7,4,5,3,6]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[2,5,4,8,3,6,1,7]=>[5,4,2,3,6,8,1,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[2,3,1,8,5,6,4,7]=>[2,8,5,3,1,6,4,7]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[5,7,3,6,4,8,1,2]=>[1,5,7,3,6,4,8,2]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[4,6,2,7,1,5,3,8]=>[4,6,2,7,1,5,3,8]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[4,7,1,6,2,5,3,8]=>[4,7,1,6,2,5,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[4,7,1,5,3,6,2,8]=>[4,7,1,5,3,6,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[5,7,1,6,3,4,2,8]=>[5,1,7,3,6,4,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[1,8,5,6,4,7,2,3]=>[1,8,2,5,6,4,7,3]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[5,7,1,6,4,8,2,3]=>[1,5,7,6,2,4,8,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[3,7,1,4,2,8,5,6]=>[3,7,1,8,4,2,5,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[3,5,1,4,2,8,6,7]=>[3,8,5,1,4,2,6,7]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[4,6,5,8,3,7,1,2]=>[1,6,4,5,3,8,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[4,6,5,8,2,3,1,7]=>[2,6,4,5,3,8,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[3,4,2,6,5,8,1,7]=>[6,3,4,2,5,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[3,4,2,7,1,8,5,6]=>[3,7,4,2,1,8,5,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[2,4,3,8,1,7,5,6]=>[4,8,2,3,1,5,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[3,7,4,8,6,1,5,2]=>[3,7,8,4,6,1,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[4,5,1,8,7,6,2,3]=>[1,8,7,4,5,6,2,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[5,1,2,8,7,6,3,4]=>[1,8,7,5,2,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[4,5,7,8,2,6,3,1]=>[4,5,7,2,8,6,3,1]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[3,1,6,8,7,4,5,2]=>[3,8,6,4,1,7,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[6,8,3,5,7,1,4,2]=>[3,6,1,5,8,7,4,2]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[3,1,7,8,6,4,5,2]=>[3,7,8,4,1,6,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[4,6,7,8,2,5,3,1]=>[4,6,2,7,8,5,3,1]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[7,4,5,2,8,6,3,1]=>[7,4,8,5,6,2,3,1]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[3,4,7,5,8,6,2,1]=>[7,8,3,4,5,6,2,1]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[3,6,7,4,8,5,2,1]=>[6,7,3,8,4,5,2,1]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[4,7,5,2,8,6,3,1]=>[7,8,4,5,6,2,3,1]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[2,7,5,3,8,6,4,1]=>[7,8,5,6,2,3,4,1]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[5,7,8,3,2,6,4,1]=>[5,7,3,8,6,2,4,1]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[5,8,4,7,2,3,6,1]=>[2,5,4,3,8,7,6,1]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[6,7,4,8,1,5,3,2]=>[4,6,7,8,5,1,3,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[1,7,4,8,6,2,5,3]=>[4,7,8,6,1,2,5,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[7,4,2,8,6,1,5,3]=>[4,7,8,6,2,1,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[6,8,5,2,3,7,4,1]=>[6,2,5,8,7,3,4,1]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[3,7,4,5,8,6,2,1]=>[7,3,8,4,5,6,2,1]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[6,7,3,4,8,5,2,1]=>[6,3,7,8,4,5,2,1]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[3,6,4,7,8,5,2,1]=>[6,7,3,4,8,5,2,1]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[6,4,2,7,8,5,3,1]=>[6,7,4,8,2,5,3,1]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[7,4,2,5,8,6,3,1]=>[7,4,8,5,2,6,3,1]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[6,1,8,3,4,7,5,2]=>[6,8,1,3,7,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[7,5,8,3,4,6,2,1]=>[3,5,7,4,8,6,2,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[6,3,4,7,8,5,2,1]=>[6,3,7,4,8,5,2,1]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[5,7,2,3,4,1,8,6]=>[7,2,3,5,8,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[2,5,8,3,4,1,6,7]=>[2,5,3,4,1,8,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[5,6,2,7,4,3,8,1]=>[5,6,7,4,2,3,8,1]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[2,6,1,8,4,5,3,7]=>[6,2,1,8,4,5,3,7]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[1,6,8,4,7,2,3,5]=>[1,4,6,2,3,8,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[1,4,5,7,8,2,6,3]=>[4,5,1,7,2,8,6,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[3,4,5,7,6,8,1,2]=>[1,7,3,4,5,6,8,2]=>[[1,2,4,5,6,8],[3],[7]]=>[3,4,1]
[3,4,5,6,8,7,1,2]=>[1,8,3,4,5,6,7,2]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[1,4,5,8,6,2,3,7]=>[1,4,8,2,5,6,3,7]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[7,8,1,4,6,2,3,5]=>[1,4,2,3,7,8,6,5]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[1,4,5,6,8,2,7,3]=>[4,5,1,6,8,2,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[1,4,5,8,6,2,7,3]=>[4,8,5,1,6,7,2,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[1,6,7,2,3,5,8,4]=>[6,1,2,7,3,5,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[7,8,1,2,3,5,4,6]=>[1,7,2,3,5,8,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[1,6,8,4,5,2,3,7]=>[1,6,2,4,5,8,3,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[1,6,8,4,5,2,7,3]=>[6,4,1,5,8,7,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[1,6,8,2,3,4,7,5]=>[6,1,2,8,3,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[7,8,1,2,3,4,6,5]=>[7,1,2,3,4,8,6,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[7,8,1,2,3,6,4,5]=>[1,7,2,3,4,8,6,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[1,6,7,2,3,8,5,4]=>[6,7,1,8,2,5,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[4,2,6,3,5,1,8,7]=>[8,4,2,6,3,5,1,7]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[4,6,2,1,5,8,7,3]=>[8,4,6,2,5,1,7,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[2,1,6,4,3,8,7,5]=>[8,6,7,4,2,1,3,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[6,8,7,2,4,3,1,5]=>[2,8,4,6,7,3,1,5]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[6,2,4,8,5,3,7,1]=>[6,2,8,4,5,3,7,1]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[8,2,4,3,6,5,1,7]=>[2,8,6,4,3,5,1,7]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[8,2,1,4,6,5,3,7]=>[6,8,2,1,4,5,3,7]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[6,2,1,8,4,3,7,5]=>[6,8,4,7,2,1,3,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[4,6,8,7,5,2,1,3]=>[2,8,6,4,7,5,1,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[2,1,4,8,6,7,3,5]=>[2,8,4,1,3,6,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[2,6,8,7,4,5,1,3]=>[2,1,8,6,4,7,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[8,2,6,4,5,1,3,7]=>[2,1,4,8,6,5,3,7]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[8,4,6,2,1,5,3,7]=>[4,2,8,6,5,1,3,7]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[2,1,6,8,4,3,7,5]=>[6,8,2,7,1,4,3,5]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[6,8,7,4,2,1,3,5]=>[2,4,8,6,7,1,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[4,8,6,2,1,7,3,5]=>[4,2,8,6,7,1,3,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[2,7,4,8,3,5,1,6]=>[4,2,7,3,5,8,1,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[2,7,4,8,3,5,6,1]=>[4,2,7,3,5,8,6,1]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[6,7,3,8,4,2,5,1]=>[3,6,7,8,4,2,5,1]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[6,7,3,8,4,2,1,5]=>[3,6,7,8,4,2,1,5]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[7,1,8,4,3,5,2,6]=>[4,3,7,8,1,5,2,6]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[1,7,8,4,3,5,2,6]=>[1,7,4,8,3,5,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[7,4,8,1,5,6,2,3]=>[1,4,7,2,5,8,6,3]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[6,7,3,8,4,5,2,1]=>[3,6,7,8,4,5,2,1]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[6,7,4,1,3,8,2,5]=>[1,6,4,7,3,2,8,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[1,6,7,8,4,3,2,5]=>[1,6,7,8,4,3,2,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[6,2,7,1,8,4,3,5]=>[2,6,7,8,4,1,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[6,2,7,8,4,3,1,5]=>[2,6,7,8,4,3,1,5]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[6,2,7,8,4,3,5,1]=>[2,6,7,8,4,3,5,1]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[2,6,7,4,8,3,5,1]=>[2,6,7,4,3,8,5,1]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[1,2,7,8,6,3,4,5]=>[1,2,7,8,3,4,6,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[2,6,7,1,8,5,3,4]=>[2,6,7,1,8,5,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[2,6,7,8,5,3,4,1]=>[2,6,7,3,8,5,4,1]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[6,2,7,8,4,5,3,1]=>[6,2,7,4,8,5,3,1]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[7,2,1,8,4,5,6,3]=>[7,2,1,8,4,5,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[1,7,2,8,4,5,6,3]=>[7,1,2,8,4,5,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[6,3,7,8,1,5,2,4]=>[3,1,6,7,2,8,5,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[3,1,2,7,6,5,8,4]=>[7,6,5,1,3,2,8,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[1,7,5,3,6,4,8,2]=>[5,7,6,3,1,4,8,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[5,1,2,6,7,4,8,3]=>[5,6,1,7,2,4,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[4,7,1,8,3,5,2,6]=>[4,1,7,3,8,5,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[4,1,8,7,6,2,3,5]=>[1,4,8,7,2,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[6,8,1,5,3,7,2,4]=>[1,6,5,3,8,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[8,7,5,2,4,1,6,3]=>[5,2,8,7,4,6,1,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[7,8,5,2,4,1,6,3]=>[5,2,7,8,4,6,1,3]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[7,1,2,3,5,6,4,8]=>[5,1,2,3,7,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[8,1,2,3,5,6,4,7]=>[5,1,2,3,6,8,4,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[7,1,8,4,6,3,2,5]=>[1,7,8,4,3,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[6,8,2,4,3,1,5,7]=>[2,6,4,3,8,1,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[3,8,1,2,4,5,7,6]=>[8,1,3,2,4,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[3,1,2,6,7,5,8,4]=>[6,7,1,3,2,5,8,4]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[8,1,7,4,6,3,2,5]=>[4,8,1,3,7,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[8,1,7,6,5,3,2,4]=>[1,8,7,6,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[8,7,2,5,3,6,1,4]=>[2,3,8,5,7,1,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[7,1,2,3,5,4,8,6]=>[7,8,1,2,3,5,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[6,1,2,3,5,7,4,8]=>[6,1,2,3,5,7,4,8]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[5,1,2,3,8,6,4,7]=>[5,8,1,2,6,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[8,6,5,2,4,7,1,3]=>[2,1,6,8,5,4,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[7,6,2,5,3,1,8,4]=>[7,6,2,5,8,3,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[7,4,5,2,3,8,6,1]=>[7,2,4,8,5,3,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[4,6,2,3,1,5,8,7]=>[8,2,4,3,6,1,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[7,2,3,4,5,8,6,1]=>[7,2,3,4,8,5,6,1]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[8,2,3,4,5,7,1,6]=>[2,3,4,5,1,8,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[7,3,4,6,8,5,1,2]=>[1,7,3,4,6,8,5,2]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[3,7,4,5,1,8,6,2]=>[7,3,8,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[4,8,1,5,6,7,3,2]=>[4,5,6,1,8,7,3,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[5,8,2,4,6,7,1,3]=>[2,1,5,4,6,8,7,3]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[6,8,1,3,4,2,7,5]=>[6,3,1,8,4,7,2,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[5,8,2,4,3,1,7,6]=>[8,5,2,4,7,3,1,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[2,1,7,6,8,5,3,4]=>[2,7,6,8,1,3,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[3,7,6,1,8,5,2,4]=>[3,7,6,1,8,5,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[4,7,2,3,8,5,1,6]=>[2,7,4,3,8,5,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[7,1,3,6,4,8,5,2]=>[7,6,3,1,8,4,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[7,6,1,4,8,5,2,3]=>[1,7,6,2,8,4,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[6,2,3,7,8,5,4,1]=>[6,7,2,8,3,5,4,1]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[6,4,8,3,5,1,7,2]=>[4,6,3,5,8,7,1,2]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[5,4,8,3,6,7,1,2]=>[1,5,4,3,6,8,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[3,6,1,8,4,5,2,7]=>[3,6,1,8,4,5,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[4,6,8,3,5,2,7,1]=>[4,3,6,5,8,2,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[5,7,8,3,2,4,1,6]=>[3,5,2,7,8,4,1,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[4,8,2,3,5,6,1,7]=>[2,4,3,5,6,8,1,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[6,8,2,3,1,4,5,7]=>[2,3,1,6,4,8,5,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[3,7,5,2,8,4,1,6]=>[5,7,3,2,8,4,1,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[6,3,2,4,1,8,7,5]=>[8,6,3,7,2,4,1,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[5,7,3,1,4,2,6,8]=>[3,5,4,7,1,2,6,8]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[6,3,7,4,8,1,2,5]=>[1,3,6,7,4,2,8,5]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[1,8,3,2,4,5,7,6]=>[8,3,1,2,7,4,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[8,4,1,6,3,7,5,2]=>[6,4,8,7,3,1,5,2]=>[[1,2],[3,5],[4,7],[6,8]]=>[4,2,2]
[1,5,3,8,7,6,4,2]=>[8,7,5,6,3,1,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[1,2,8,7,5,6,3,4]=>[1,8,2,7,5,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[1,4,8,6,5,7,2,3]=>[1,6,8,4,2,5,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[5,1,6,8,3,4,2,7]=>[5,1,6,3,4,8,2,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[5,2,1,8,7,4,3,6]=>[5,8,4,7,2,1,3,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[5,2,6,3,8,1,4,7]=>[2,5,6,3,1,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[6,2,8,4,3,1,7,5]=>[6,8,4,7,2,3,1,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[7,2,8,1,3,6,5,4]=>[7,8,2,1,6,3,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[7,3,8,1,4,6,2,5]=>[3,1,7,4,2,8,6,5]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[1,7,8,5,4,6,3,2]=>[7,8,1,5,4,6,3,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[1,8,3,6,5,2,7,4]=>[6,8,5,1,3,7,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[1,8,2,4,7,6,5,3]=>[8,7,6,1,2,4,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[3,8,2,5,1,7,6,4]=>[8,5,3,2,7,6,1,4]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[4,3,8,2,5,1,6,7]=>[4,3,2,5,1,8,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[8,1,3,4,5,7,6,2]=>[8,3,1,4,5,7,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[6,1,5,2,4,7,8,3]=>[6,1,5,2,4,7,8,3]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[4,8,5,1,3,6,2,7]=>[4,1,5,8,3,6,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[3,6,1,5,7,2,8,4]=>[6,3,5,1,7,8,2,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[6,3,1,2,8,5,7,4]=>[6,8,1,3,5,2,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[4,1,8,2,3,7,5,6]=>[1,8,4,2,3,7,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[5,3,8,7,2,1,4,6]=>[3,5,8,2,1,7,4,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[5,7,4,1,6,8,3,2]=>[5,4,7,6,8,1,3,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[6,8,4,5,7,1,3,2]=>[4,1,6,5,8,7,3,2]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[5,6,1,4,7,8,3,2]=>[5,6,1,4,7,8,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[5,6,7,2,4,8,3,1]=>[5,2,6,7,4,8,3,1]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,4,8,2,6,7,3,1]=>[5,4,6,2,8,7,3,1]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[6,4,8,5,7,2,3,1]=>[2,6,4,8,5,7,3,1]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[7,4,8,5,6,2,1,3]=>[2,4,7,8,5,6,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[4,6,8,5,7,2,3,1]=>[2,6,4,5,8,7,3,1]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[5,6,8,2,4,7,3,1]=>[5,2,6,4,8,7,3,1]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[5,6,3,8,4,7,2,1]=>[5,6,3,8,4,7,2,1]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[4,6,3,2,8,7,5,1]=>[8,6,4,7,3,2,5,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[5,3,6,8,2,7,4,1]=>[5,6,3,8,2,7,4,1]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[6,3,2,7,5,4,8,1]=>[6,7,5,3,2,4,8,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[6,4,7,2,5,3,8,1]=>[4,6,7,2,5,3,8,1]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[6,2,7,5,1,4,8,3]=>[6,2,7,5,1,4,8,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[2,7,8,5,3,6,1,4]=>[2,3,7,8,5,1,6,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[5,3,7,8,4,6,2,1]=>[5,3,7,4,8,6,2,1]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[5,7,8,2,4,6,3,1]=>[5,2,4,7,8,6,3,1]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[3,7,4,8,6,2,1,5]=>[3,7,8,4,2,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[3,6,4,8,7,2,5,1]=>[3,8,6,4,2,7,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[3,5,4,8,2,7,6,1]=>[8,5,3,4,2,7,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[4,5,7,3,8,6,2,1]=>[7,4,5,8,3,6,2,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[3,5,6,8,4,7,2,1]=>[5,3,6,4,8,7,2,1]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[5,8,4,1,7,6,3,2]=>[8,5,4,7,6,3,1,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[1,8,2,5,6,3,4,7]=>[1,2,8,3,5,6,4,7]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[7,2,8,4,5,1,3,6]=>[2,1,4,7,8,5,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[1,3,7,5,6,2,4,8]=>[1,7,3,2,5,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[7,5,8,1,2,6,3,4]=>[1,5,2,7,8,3,6,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[1,6,7,4,3,2,8,5]=>[6,7,8,4,1,3,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[1,5,2,6,4,7,8,3]=>[5,6,4,1,2,7,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[1,5,4,6,2,3,7,8]=>[1,5,4,2,6,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[6,2,5,7,1,4,8,3]=>[6,2,1,5,7,4,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[6,5,4,3,8,1,7,2]=>[6,5,4,3,8,1,7,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[7,3,6,8,5,2,4,1]=>[3,7,2,6,8,5,4,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[2,7,8,3,6,5,1,4]=>[2,7,3,8,1,6,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[2,7,8,5,4,6,3,1]=>[7,2,8,5,4,6,3,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[2,6,5,7,3,4,1,8]=>[2,6,5,3,7,4,1,8]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[6,2,5,8,4,1,3,7]=>[2,6,1,5,4,8,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[6,1,2,8,3,7,4,5]=>[1,6,8,2,3,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[6,1,2,8,5,4,7,3]=>[6,8,1,5,4,2,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[2,6,5,7,3,8,1,4]=>[2,6,5,3,7,1,8,4]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[1,6,2,7,5,8,4,3]=>[6,7,5,8,1,2,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[1,3,2,7,8,5,6,4]=>[7,3,5,1,2,8,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[1,6,2,4,8,7,3,5]=>[1,8,6,4,2,3,7,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[6,5,2,1,8,7,3,4]=>[2,8,6,5,7,1,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[6,2,5,3,8,4,7,1]=>[6,5,2,3,8,4,7,1]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[5,1,4,2,3,7,8,6]=>[7,1,5,2,4,3,8,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[5,1,6,3,8,2,7,4]=>[5,6,8,3,1,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[9,8,7,6,5,4,3,1,2,10]=>[1,9,8,7,6,5,4,3,2,10]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[1,10,9,8,7,6,5,4,2,3]=>[1,10,9,8,7,6,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>[10]
[2,1,9,8,7,6,5,4,3]=>[9,8,7,6,5,4,2,1,3]=>[[1,3],[2],[4],[5],[6],[7],[8],[9]]=>[2,7]
[1,2,9,8,7,6,5,4,3]=>[9,8,7,6,5,4,1,2,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[9]
[1,2,3,9,8,7,6,5,4]=>[9,8,7,6,5,1,2,3,4]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>[9]
[1,2,3,4,9,8,7,6,5]=>[9,8,7,6,1,2,3,4,5]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>[9]
[1,2,3,4,5,9,8,7,6]=>[9,8,7,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7],[8],[9]]=>[9]
[1,2,10,9,8,7,6,5,4,3]=>[10,9,8,7,6,5,4,1,2,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>[10]
[1,2,3,10,9,8,7,6,5,4]=>[10,9,8,7,6,5,1,2,3,4]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[10]
[1,2,3,4,10,9,8,7,6,5]=>[10,9,8,7,6,1,2,3,4,5]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[10]
[1,2,3,4,5,6,10,9,8,7]=>[10,9,8,1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>[10]
[1,2,3,4,5,6,7,10,9,8]=>[10,9,1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10]
[1,7,8,4,5,6,2,3]=>[1,4,2,7,5,8,6,3]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[1,5,8,4,2,6,7,3]=>[5,4,1,8,6,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[1,6,3,8,5,2,7,4]=>[6,8,3,5,1,7,2,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[5,2,3,7,1,6,4,8]=>[5,2,7,3,1,6,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[6,2,3,7,5,1,4,8]=>[2,6,3,7,1,5,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[6,2,3,4,8,1,7,5]=>[6,2,3,8,4,1,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[8,7,3,2,1,6,5,4]=>[8,7,3,6,5,2,1,4]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[8,7,6,3,1,5,2,4]=>[3,1,8,7,6,5,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[2,4,8,6,3,1,7,5]=>[8,4,6,2,7,3,1,5]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[8,1,4,5,3,2,7,6]=>[8,4,1,7,5,3,2,6]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[3,4,1,5,2,8,7,6]=>[8,7,3,4,5,1,2,6]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[3,4,6,2,1,8,7,5]=>[8,6,3,4,7,2,1,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[3,5,6,2,1,7,8,4]=>[5,3,6,7,2,1,8,4]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[8,1,4,6,3,7,2,5]=>[4,1,6,3,8,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[8,1,4,6,3,7,5,2]=>[6,4,8,1,7,3,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[8,1,5,6,7,3,2,4]=>[1,5,6,3,8,7,2,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[3,5,6,1,8,7,2,4]=>[3,8,1,5,6,7,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[2,1,3,8,6,7,4,5]=>[2,8,1,6,3,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[2,4,1,8,6,7,5,3]=>[8,6,2,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[2,5,8,6,1,7,4,3]=>[8,5,2,6,7,4,1,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[3,4,6,8,7,1,5,2]=>[3,8,4,6,1,7,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[8,1,4,6,2,7,5,3]=>[6,4,8,1,7,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[3,5,1,6,7,8,4,2]=>[5,3,6,7,1,8,4,2]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[4,5,6,1,7,8,3,2]=>[4,5,6,7,8,1,3,2]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[4,5,6,1,7,3,8,2]=>[4,5,6,7,3,1,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[3,5,1,6,7,4,2,8]=>[5,3,6,7,1,4,2,8]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[4,5,6,1,7,3,2,8]=>[4,5,6,7,3,1,2,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[1,6,4,8,7,5,2,3]=>[1,8,6,7,4,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[8,1,6,2,4,7,3,5]=>[1,8,2,4,6,3,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[7,6,2,1,4,8,3,5]=>[2,7,4,6,1,3,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[6,4,1,7,8,5,2,3]=>[1,6,7,4,8,2,5,3]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[7,6,1,3,4,8,2,5]=>[3,1,4,7,6,2,8,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[8,1,6,3,4,7,2,5]=>[3,1,4,8,6,2,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[1,8,6,3,4,7,2,5]=>[1,6,3,8,4,2,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[7,1,2,5,4,8,3,6]=>[5,7,1,2,4,3,8,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[2,7,1,5,4,8,3,6]=>[5,7,2,1,4,3,8,6]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[2,8,6,3,4,7,1,5]=>[2,3,6,8,4,1,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[1,2,7,5,4,8,3,6]=>[5,7,4,1,2,3,8,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[3,2,7,5,4,8,1,6]=>[5,7,3,2,4,1,8,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[6,8,3,2,4,7,1,5]=>[3,2,6,4,8,1,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[3,1,7,5,4,8,2,6]=>[5,7,3,4,1,2,8,6]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[5,1,8,4,7,3,2,6]=>[5,4,8,1,3,7,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[8,7,5,6,2,1,4,3]=>[5,2,8,7,6,4,1,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[8,1,5,4,7,3,2,6]=>[5,8,1,4,3,7,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[1,7,3,5,4,8,2,6]=>[5,7,1,3,4,2,8,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[5,3,7,4,6,8,2,1]=>[5,3,7,4,6,8,2,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[4,1,3,2,7,8,5,6]=>[4,7,1,3,2,5,8,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[5,7,3,4,6,8,2,1]=>[3,5,4,7,6,8,2,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[8,2,5,4,7,3,1,6]=>[2,8,5,4,3,7,1,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[3,2,1,4,7,8,5,6]=>[3,7,2,1,4,5,8,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[8,1,7,6,4,3,5,2]=>[8,1,7,6,4,3,5,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[8,6,4,5,2,7,1,3]=>[2,4,6,8,5,1,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[7,3,6,5,2,1,8,4]=>[7,6,3,5,8,2,1,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[5,4,2,8,1,3,7,6]=>[8,2,5,4,1,3,7,6]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[5,8,2,6,4,1,3,7]=>[2,5,1,8,6,4,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[6,4,2,5,1,8,3,7]=>[4,6,5,2,1,8,3,7]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[2,3,5,8,1,4,7,6]=>[8,2,3,1,5,4,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[6,3,8,5,2,7,1,4]=>[3,6,2,8,5,1,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[7,3,5,2,1,4,6,8]=>[3,2,5,7,1,4,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[8,4,2,5,1,3,7,6]=>[8,2,4,1,7,5,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[2,3,6,8,1,4,7,5]=>[6,2,3,1,8,4,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[7,3,8,5,2,1,4,6]=>[3,2,7,8,5,1,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[2,3,6,1,8,4,7,5]=>[6,8,2,3,1,7,4,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[8,3,5,2,1,4,6,7]=>[3,2,5,1,8,4,6,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[2,4,8,1,3,7,5,6]=>[2,8,1,4,3,5,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[2,5,8,1,7,3,6,4]=>[5,8,2,1,7,3,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[2,8,1,5,7,3,6,4]=>[5,8,2,1,3,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[3,8,6,1,4,7,5,2]=>[8,3,6,1,7,4,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[2,6,8,1,5,7,3,4]=>[2,6,1,3,5,8,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[2,7,1,5,8,3,4,6]=>[2,1,7,3,5,4,8,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[3,7,5,8,1,2,6,4]=>[7,1,3,5,8,2,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[7,3,6,1,2,8,4,5]=>[1,7,3,2,6,8,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[7,4,8,1,6,5,2,3]=>[1,7,4,8,6,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[7,4,6,1,8,2,5,3]=>[4,7,1,6,8,5,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[7,4,5,8,6,1,2,3]=>[1,2,7,4,8,5,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[5,1,7,6,2,3,8,4]=>[7,1,5,6,8,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[5,1,8,7,6,2,3,4]=>[1,2,8,7,5,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[4,6,1,8,7,5,2,3]=>[1,8,6,4,7,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[8,4,6,1,7,5,2,3]=>[1,6,4,8,7,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[4,5,1,8,7,2,3,6]=>[1,4,8,5,2,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[3,4,8,7,1,2,5,6]=>[1,3,4,8,2,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[5,8,4,1,7,2,3,6]=>[1,5,4,2,8,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[6,5,1,2,7,3,8,4]=>[6,5,1,7,8,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[8,6,5,1,2,7,3,4]=>[1,6,2,8,5,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[6,5,1,8,7,2,3,4]=>[1,2,8,6,5,7,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[6,5,1,7,2,8,3,4]=>[1,6,5,7,8,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[6,5,1,7,2,3,8,4]=>[6,1,5,7,8,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[5,7,4,1,8,2,3,6]=>[1,5,4,7,2,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[5,6,8,7,4,1,2,3]=>[1,2,8,5,6,7,4,3]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[6,8,5,7,4,1,2,3]=>[1,2,6,5,8,7,4,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[4,1,7,5,3,6,2,8]=>[4,7,5,3,1,6,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[1,8,4,2,3,6,7,5]=>[8,1,4,2,6,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[2,5,8,3,4,6,7,1]=>[2,5,3,4,6,8,7,1]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[4,1,7,2,3,6,8,5]=>[7,1,4,2,6,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[4,6,2,1,5,7,8,3]=>[4,6,2,5,1,7,8,3]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[3,2,6,7,4,1,8,5]=>[6,7,3,2,8,4,1,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[5,6,2,7,1,4,8,3]=>[5,2,6,7,1,4,8,3]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[6,2,3,8,1,7,4,5]=>[2,6,3,8,1,4,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[2,6,3,1,8,4,5,7]=>[2,6,3,8,1,4,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[2,4,3,7,8,1,5,6]=>[4,2,3,1,5,7,8,6]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[5,3,6,4,2,8,7,1]=>[8,5,6,3,4,2,7,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[5,4,2,3,7,8,6,1]=>[7,2,5,4,3,8,6,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[4,1,8,2,5,7,3,6]=>[4,1,8,2,5,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[6,2,3,8,4,1,7,5]=>[6,8,2,3,7,4,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[2,5,4,1,7,6,8,3]=>[7,5,4,2,6,1,8,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[6,2,1,4,7,8,3,5]=>[2,6,4,1,3,7,8,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[6,8,3,1,5,2,4,7]=>[3,1,6,5,8,2,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[6,8,4,2,1,5,3,7]=>[4,6,5,8,2,1,3,7]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[5,8,2,1,4,7,3,6]=>[5,2,1,8,4,3,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[6,8,4,3,1,5,7,2]=>[4,6,3,8,5,1,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[5,1,7,3,2,4,6,8]=>[3,5,1,7,2,4,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[5,4,7,2,1,6,8,3]=>[5,4,7,2,6,1,8,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[6,4,3,1,7,5,8,2]=>[6,7,4,3,5,1,8,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[3,2,1,7,6,4,8,5]=>[7,6,8,3,2,1,4,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[4,2,1,8,5,7,3,6]=>[4,5,8,2,1,3,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[7,4,3,1,8,5,6,2]=>[4,7,8,3,5,1,6,2]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[6,2,1,8,3,7,4,5]=>[2,6,8,1,7,3,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[5,2,1,7,3,6,4,8]=>[5,7,2,6,1,3,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[4,2,8,1,7,3,5,6]=>[4,2,1,8,3,5,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[4,3,8,7,2,1,5,6]=>[4,3,8,2,1,7,5,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[4,3,1,6,2,7,5,8]=>[6,4,3,7,1,2,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[4,3,1,7,2,8,5,6]=>[4,7,3,1,8,2,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[5,4,1,7,2,8,6,3]=>[7,5,4,8,6,1,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[6,5,3,1,7,8,4,2]=>[6,5,7,3,8,1,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[6,4,2,1,7,8,3,5]=>[4,6,2,7,1,3,8,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[6,4,2,1,7,8,5,3]=>[6,7,4,8,2,1,5,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[5,3,2,6,8,1,7,4]=>[5,6,3,2,8,1,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[3,2,1,4,8,7,5,6]=>[3,8,7,2,1,4,5,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[3,2,1,4,6,8,5,7]=>[6,3,2,1,4,5,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[5,3,2,1,6,7,8,4]=>[5,6,3,2,1,7,8,4]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[8,6,1,4,5,7,2,3]=>[1,4,2,6,8,5,7,3]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[5,2,8,3,7,4,6,1]=>[5,2,8,3,7,4,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[6,2,8,5,4,7,3,1]=>[6,5,8,4,2,7,3,1]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[1,8,6,5,7,2,3,4]=>[1,2,6,8,5,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[5,2,8,4,3,6,7,1]=>[5,4,2,8,3,6,7,1]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[6,5,3,8,4,7,2,1]=>[6,5,3,8,4,7,2,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[5,2,8,4,3,7,1,6]=>[5,4,2,8,3,1,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[6,2,8,3,7,4,1,5]=>[2,6,8,3,7,4,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[6,4,3,7,1,2,8,5]=>[6,1,7,4,3,8,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[7,6,3,8,4,2,1,5]=>[3,7,6,8,4,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[7,2,8,5,1,6,3,4]=>[2,7,1,8,5,6,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[7,5,3,8,4,2,6,1]=>[5,7,3,8,4,2,6,1]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[5,3,1,7,8,4,6,2]=>[5,3,7,4,1,8,6,2]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[5,3,2,7,8,4,6,1]=>[5,3,7,2,4,8,6,1]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[6,5,1,7,8,2,3,4]=>[1,2,6,5,7,3,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[6,3,1,7,8,4,2,5]=>[3,6,7,1,8,4,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[6,3,2,7,8,4,1,5]=>[3,6,7,2,4,8,1,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[6,1,5,4,3,2,8,7]=>[8,6,5,4,1,3,2,7]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[8,7,6,1,3,5,2,4]=>[3,1,2,8,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[8,1,6,5,7,3,4,2]=>[8,1,3,6,5,7,4,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[6,1,3,5,2,8,4,7]=>[6,3,1,5,2,8,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[4,3,8,7,5,2,1,6]=>[4,8,7,3,5,2,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[6,7,1,8,5,3,4,2]=>[6,1,7,8,5,3,4,2]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[2,7,6,4,8,3,5,1]=>[4,7,6,2,3,8,5,1]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[6,5,2,7,1,4,8,3]=>[6,2,5,7,1,4,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[7,5,2,1,3,8,4,6]=>[2,7,5,1,8,3,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[8,4,7,6,3,1,5,2]=>[4,8,3,7,6,5,1,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[3,4,7,5,6,1,8,2]=>[3,7,4,5,6,8,1,2]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[5,4,1,7,6,2,8,3]=>[7,5,4,6,8,1,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[3,5,6,7,1,4,8,2]=>[3,5,1,6,7,4,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[8,6,2,5,7,1,4,3]=>[6,2,1,8,5,7,4,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[2,8,6,5,7,1,4,3]=>[6,2,8,5,1,7,4,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[8,1,5,6,2,4,7,3]=>[5,1,6,2,8,4,7,3]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[6,4,8,1,3,2,7,5]=>[6,8,1,4,3,7,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[3,5,7,6,2,8,1,4]=>[3,7,2,5,6,1,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[4,5,6,1,2,8,7,3]=>[8,4,1,5,6,7,2,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[4,6,7,8,3,1,5,2]=>[4,3,6,7,8,5,1,2]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[7,6,2,8,4,3,1,5]=>[4,7,6,8,2,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[5,2,8,6,3,4,7,1]=>[2,5,8,6,3,4,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[5,3,8,1,7,2,4,6]=>[3,5,1,2,8,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[2,5,8,3,1,6,7,4]=>[5,8,2,3,1,6,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[1,5,8,3,2,6,7,4]=>[5,8,1,3,6,2,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[1,3,8,6,2,4,7,5]=>[8,3,1,6,2,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[4,8,7,2,1,6,3,5]=>[4,2,8,7,1,6,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[8,3,4,2,1,6,5,7]=>[3,8,4,6,2,1,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[6,4,7,2,5,8,1,3]=>[2,4,6,1,7,5,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[8,4,5,2,6,3,1,7]=>[4,5,6,8,2,3,1,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[8,6,1,3,5,2,4,7]=>[3,1,2,6,8,5,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[5,8,4,6,1,3,2,7]=>[5,1,4,6,8,3,2,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[5,7,4,3,6,1,8,2]=>[5,4,7,3,6,8,1,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[7,4,1,8,3,2,5,6]=>[4,3,7,1,8,2,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[6,2,1,7,8,4,5,3]=>[6,2,7,4,1,8,5,3]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[2,4,6,5,1,7,8,3]=>[6,4,2,5,7,1,8,3]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[1,4,7,5,6,8,2,3]=>[1,7,2,4,5,6,8,3]=>[[1,2,3,5,6,8],[4],[7]]=>[4,3,1]
[5,6,1,7,4,2,8,3]=>[5,6,7,4,8,1,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[3,7,4,8,1,2,6,5]=>[7,1,3,8,4,2,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[6,3,5,7,8,1,4,2]=>[3,6,1,5,7,8,4,2]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[3,6,5,7,1,8,4,2]=>[6,5,3,7,8,4,1,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[7,5,8,4,1,3,2,6]=>[1,7,5,4,8,3,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[4,7,5,8,3,1,2,6]=>[1,4,7,5,3,8,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[3,6,7,4,8,1,2,5]=>[1,3,6,4,7,2,8,5]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[2,7,3,1,8,6,4,5]=>[2,7,8,6,3,1,4,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[4,8,1,2,3,5,7,6]=>[8,1,2,4,3,5,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[7,6,8,1,2,4,3,5]=>[1,7,2,4,6,8,3,5]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[2,8,5,4,6,1,7,3]=>[5,8,2,4,6,7,1,3]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[8,4,5,2,7,6,1,3]=>[2,8,4,5,7,1,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[6,7,1,3,5,2,8,4]=>[6,3,1,7,5,8,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[5,7,2,3,6,8,1,4]=>[2,3,5,1,7,6,8,4]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[3,4,5,7,6,1,8,2]=>[7,3,4,5,6,8,1,2]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[2,5,1,3,6,8,7,4]=>[8,5,2,1,6,3,7,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[7,3,4,6,8,1,5,2]=>[3,4,7,1,6,8,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[7,5,2,8,4,1,3,6]=>[2,5,7,1,8,4,3,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[8,7,5,4,2,1,6,3]=>[5,8,7,4,6,2,1,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[6,7,2,5,1,8,4,3]=>[6,7,2,5,8,4,1,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[3,6,1,2,5,8,4,7]=>[6,1,3,2,5,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[1,4,5,8,2,3,7,6]=>[8,1,4,2,5,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[1,2,6,4,5,8,3,7]=>[6,1,4,2,5,3,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[1,5,2,4,6,8,3,7]=>[5,1,4,2,6,3,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[3,6,1,5,8,2,4,7]=>[3,1,6,2,5,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[2,6,5,1,4,8,3,7]=>[6,2,5,1,4,3,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[5,2,6,1,4,8,3,7]=>[5,2,6,1,4,3,8,7]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[2,5,1,8,4,7,3,6]=>[5,2,8,1,4,3,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[2,7,1,4,3,6,8,5]=>[7,2,6,1,4,3,8,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[1,3,7,5,8,2,4,6]=>[3,1,7,2,5,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[2,5,4,8,1,3,7,6]=>[8,2,5,1,4,3,7,6]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[2,4,1,3,8,6,7,5]=>[8,2,6,1,4,3,7,5]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[8,4,3,7,1,2,6,5]=>[8,1,4,3,7,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[1,8,4,2,6,7,3,5]=>[4,1,8,2,6,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[7,2,1,6,8,3,4,5]=>[2,1,7,3,6,4,8,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[3,1,7,6,8,2,4,5]=>[3,1,7,2,6,4,8,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[4,1,7,2,6,8,3,5]=>[4,1,7,2,6,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[5,1,7,2,3,6,8,4]=>[5,1,7,2,6,3,8,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[7,2,1,6,3,5,8,4]=>[7,2,6,1,5,3,8,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[2,6,1,7,3,5,8,4]=>[6,2,7,1,5,3,8,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[5,4,1,2,7,8,3,6]=>[5,1,4,2,7,3,8,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[8,1,3,2,4,6,7,5]=>[8,1,3,2,6,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[7,3,1,2,4,6,8,5]=>[7,1,3,2,6,4,8,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[1,8,3,4,7,2,5,6]=>[3,1,4,2,8,5,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[3,5,8,1,2,7,4,6]=>[5,1,3,2,8,4,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[3,6,8,1,2,4,7,5]=>[6,1,3,2,8,4,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[1,3,7,4,8,2,6,5]=>[7,3,8,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[1,4,6,8,2,3,7,5]=>[6,1,4,2,8,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[3,5,8,1,7,2,4,6]=>[3,1,5,2,8,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[2,6,8,1,7,3,4,5]=>[2,1,6,3,8,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[6,1,5,8,2,3,7,4]=>[6,1,5,2,8,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[1,8,3,2,7,5,6,4]=>[8,3,7,1,5,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[3,1,7,2,8,5,6,4]=>[7,3,8,1,5,2,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[2,6,7,3,8,1,5,4]=>[6,2,7,3,8,1,5,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[8,4,1,7,3,6,2,5]=>[4,1,8,3,7,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[3,7,2,8,6,1,5,4]=>[7,3,8,2,6,1,5,4]=>[[1,4],[2,5],[3,6],[7,8]]=>[3,4,1]
[6,2,3,8,7,1,5,4]=>[8,2,6,3,7,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[5,1,7,8,4,2,6,3]=>[5,7,1,8,4,6,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[4,7,2,8,3,6,5,1]=>[7,4,2,8,6,3,5,1]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[5,1,7,4,8,3,6,2]=>[5,4,7,3,1,8,6,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[4,1,8,7,5,3,6,2]=>[4,8,7,5,3,1,6,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[6,8,2,4,3,7,5,1]=>[6,8,2,4,7,3,5,1]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[6,8,2,7,3,5,4,1]=>[6,2,8,7,3,5,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[3,7,8,2,4,1,5,6]=>[3,2,4,1,7,8,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[3,6,8,2,4,5,7,1]=>[3,2,4,6,5,8,7,1]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[8,6,1,7,2,5,4,3]=>[6,8,1,7,5,4,2,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[8,7,6,1,2,3,5,4]=>[8,1,2,3,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[5,4,3,1,6,2,8,7]=>[8,5,4,3,6,1,2,7]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[6,3,4,1,8,5,2,7]=>[6,3,4,8,5,1,2,7]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[3,8,5,2,7,1,6,4]=>[5,3,8,7,2,1,6,4]=>[[1,4],[2,6],[3,7],[5,8]]=>[3,2,3]
[2,1,8,7,3,6,4,5]=>[2,8,1,7,6,3,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[5,2,1,8,7,3,4,6]=>[2,5,8,1,7,3,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[6,5,2,7,4,3,8,1]=>[6,5,7,4,2,3,8,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[6,2,7,1,8,3,5,4]=>[6,2,7,8,1,5,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[2,7,5,4,8,3,6,1]=>[5,7,4,2,3,8,6,1]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[8,7,5,1,2,6,4,3]=>[5,8,1,7,6,4,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[7,1,6,2,3,8,5,4]=>[7,6,1,8,2,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[4,8,1,3,2,7,5,6]=>[4,8,1,3,2,7,5,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[6,3,8,7,4,5,1,2]=>[1,3,8,6,7,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[6,1,4,8,5,2,3,7]=>[1,6,2,8,4,5,3,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[4,6,7,8,2,3,5,1]=>[2,4,3,6,7,8,5,1]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[8,7,4,6,2,1,5,3]=>[4,8,2,7,6,5,1,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[5,8,3,2,4,6,1,7]=>[3,5,2,4,8,6,1,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[8,2,6,5,3,1,7,4]=>[6,8,5,2,7,3,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[4,8,7,6,5,2,3,1]=>[2,8,7,6,4,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[2,1,7,6,5,3,8,4]=>[7,6,5,8,2,1,3,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[2,7,6,1,3,5,8,4]=>[7,2,1,6,3,5,8,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[2,4,1,7,6,8,5,3]=>[7,6,4,2,8,1,5,3]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[3,4,1,7,8,5,6,2]=>[3,7,4,5,1,8,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[7,5,4,3,1,8,6,2]=>[7,8,5,4,3,6,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[6,3,5,4,1,7,8,2]=>[6,3,5,4,7,1,8,2]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[1,7,5,3,8,2,4,6]=>[3,5,7,1,2,4,8,6]=>[[1,2,4,6],[3,5,7,8]]=>[3,2,2,1]
[8,2,5,3,1,6,4,7]=>[2,8,5,6,3,1,4,7]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[2,6,4,7,8,3,1,5]=>[4,6,2,3,7,8,1,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[4,3,6,7,1,8,2,5]=>[4,3,1,6,7,8,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[2,3,6,4,1,7,8,5]=>[6,7,2,3,4,1,8,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[3,7,4,5,2,1,8,6]=>[7,3,8,4,5,2,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[1,3,6,4,7,2,8,5]=>[6,7,3,1,4,8,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[5,1,3,4,2,7,8,6]=>[7,3,1,5,4,2,8,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[5,4,2,1,3,7,8,6]=>[7,2,5,4,1,3,8,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[6,1,7,3,8,2,5,4]=>[6,3,7,8,1,2,5,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[6,1,4,7,8,5,2,3]=>[1,6,7,2,4,8,5,3]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[6,3,2,1,7,8,5,4]=>[6,7,8,3,2,1,5,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[6,2,7,3,1,8,5,4]=>[6,7,8,5,2,3,1,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[2,6,7,3,1,8,5,4]=>[6,7,8,2,5,3,1,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[8,6,5,1,3,2,4,7]=>[1,3,8,6,5,2,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[3,8,4,7,1,2,5,6]=>[1,3,4,2,8,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[4,8,6,1,5,3,2,7]=>[4,6,8,5,1,3,2,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[5,8,6,4,1,3,2,7]=>[1,8,5,6,4,3,2,7]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[8,3,6,4,5,2,1,7]=>[3,4,8,6,5,2,1,7]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[2,3,8,7,1,6,4,5]=>[2,8,3,7,1,4,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[3,5,8,7,4,1,2,6]=>[1,5,8,3,4,7,2,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[7,3,8,4,1,2,5,6]=>[1,3,4,7,8,2,5,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[4,8,1,2,7,3,5,6]=>[4,1,2,3,8,5,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[3,7,4,8,5,6,2,1]=>[3,7,8,4,5,6,2,1]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[2,3,7,8,5,6,1,4]=>[2,3,7,1,5,8,6,4]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[3,7,6,8,5,1,2,4]=>[1,3,7,6,2,8,5,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[2,8,3,4,1,5,7,6]=>[8,2,3,4,7,1,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[5,8,3,2,7,6,1,4]=>[3,8,5,2,7,1,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[2,5,3,1,8,6,7,4]=>[5,8,6,2,3,1,7,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[4,5,3,2,8,6,7,1]=>[4,8,5,3,2,6,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[3,5,8,6,1,4,7,2]=>[3,8,1,5,6,4,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[4,6,8,5,3,2,7,1]=>[6,4,5,8,3,2,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[2,6,4,8,5,1,7,3]=>[6,8,2,4,5,7,1,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[7,5,3,2,8,6,1,4]=>[3,7,8,5,2,1,6,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[4,5,1,2,8,6,7,3]=>[8,1,4,5,6,2,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[5,4,8,1,3,6,7,2]=>[5,1,4,3,6,8,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[6,1,5,7,2,4,8,3]=>[6,1,5,2,7,4,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[7,4,3,1,2,8,5,6]=>[1,7,4,8,3,2,5,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[8,4,7,6,2,1,5,3]=>[4,8,7,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[7,2,1,4,5,8,3,6]=>[2,7,1,4,5,3,8,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[3,5,7,6,4,1,8,2]=>[7,5,3,6,4,8,1,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[4,7,5,2,1,3,8,6]=>[7,2,8,4,5,1,3,6]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[5,7,2,3,6,4,8,1]=>[5,2,7,3,6,4,8,1]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[8,6,2,3,7,1,4,5]=>[2,3,1,6,8,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[5,7,2,4,8,3,6,1]=>[5,2,4,7,3,8,6,1]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[1,7,2,4,8,6,3,5]=>[1,7,8,4,2,3,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[7,6,1,5,4,8,3,2]=>[7,6,5,1,4,8,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[4,7,3,2,1,8,5,6]=>[4,7,3,8,2,1,5,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[4,8,7,6,1,2,5,3]=>[4,1,8,7,6,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[2,8,6,7,4,1,3,5]=>[2,1,8,4,6,7,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[6,8,5,4,2,7,3,1]=>[6,5,8,4,7,2,3,1]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[6,8,3,1,2,4,5,7]=>[1,3,2,6,4,8,5,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[6,5,3,7,8,4,1,2]=>[1,6,5,7,3,8,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[4,1,3,8,7,5,6,2]=>[8,1,7,4,3,5,6,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[6,2,7,4,8,1,3,5]=>[2,1,6,7,4,3,8,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[4,3,2,6,8,1,7,5]=>[6,4,3,2,8,1,7,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[5,1,2,4,7,8,3,6]=>[5,1,2,4,3,7,8,6]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[3,5,4,2,8,1,6,7]=>[5,3,4,2,1,6,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[6,2,8,7,3,5,4,1]=>[8,2,6,7,5,3,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[7,1,8,4,3,6,5,2]=>[7,4,8,6,3,1,5,2]=>[[1,2],[3,5],[4,6],[7,8]]=>[4,3,1]
[3,6,8,7,4,1,2,5]=>[1,3,8,6,4,7,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[5,6,8,1,7,3,2,4]=>[1,5,6,8,7,3,2,4]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[6,5,8,4,3,1,2,7]=>[1,6,5,4,8,3,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[1,5,8,3,7,4,2,6]=>[5,3,8,1,4,7,2,6]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[3,8,2,7,1,5,6,4]=>[5,3,2,1,8,7,6,4]=>[[1,4],[2,6],[3,7],[5,8]]=>[3,2,3]
[6,8,2,3,4,7,5,1]=>[6,2,3,8,4,7,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[3,6,8,5,2,7,4,1]=>[6,5,3,8,7,2,4,1]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[2,1,6,5,4,8,3,7]=>[6,5,4,2,1,3,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[2,1,7,8,4,6,5,3]=>[7,8,2,4,1,6,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[2,1,7,4,3,5,8,6]=>[7,4,8,2,1,3,5,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[3,5,7,8,4,6,1,2]=>[1,5,3,4,7,8,6,2]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[7,8,2,4,3,1,5,6]=>[2,4,7,3,8,1,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[7,6,3,8,1,5,4,2]=>[7,3,6,8,5,1,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[6,2,7,1,3,5,8,4]=>[6,2,1,7,3,5,8,4]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[6,1,8,2,3,5,4,7]=>[6,1,2,5,8,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[8,4,3,1,7,5,2,6]=>[4,8,3,7,5,1,2,6]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[7,3,8,5,2,6,4,1]=>[7,3,8,5,6,2,4,1]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[4,3,8,7,1,6,5,2]=>[8,4,7,3,6,1,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[4,7,5,6,3,8,2,1]=>[4,7,5,6,3,8,2,1]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[4,8,5,7,2,3,1,6]=>[2,4,5,8,3,7,1,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[4,2,7,5,8,3,6,1]=>[4,7,5,2,3,8,6,1]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[5,8,2,7,3,4,6,1]=>[2,5,3,8,4,7,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[6,8,2,5,4,3,1,7]=>[6,2,8,5,4,3,1,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[6,3,2,1,4,8,5,7]=>[6,3,2,8,1,4,5,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[7,1,8,3,5,4,6,2]=>[7,1,5,8,3,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[7,1,2,4,8,5,6,3]=>[7,1,4,2,8,5,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[8,4,6,5,3,2,1,7]=>[4,8,6,5,3,2,1,7]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[6,2,1,7,5,8,3,4]=>[2,6,7,5,1,3,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[6,3,8,7,5,2,1,4]=>[3,8,6,7,2,5,1,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[6,7,2,1,5,8,4,3]=>[6,7,2,5,8,1,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[9,1,8,7,6,5,4,3,2]=>[9,8,7,6,5,4,1,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[9]
[7,6,8,1,5,4,3,2]=>[7,6,8,1,5,4,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[7,1,9,8,6,5,4,3,2]=>[9,7,8,6,5,4,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7],[9]]=>[7,2]
[7,6,1,8,5,4,3,2]=>[7,6,8,5,4,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[6,5,8,1,7,4,3,2]=>[6,5,8,7,4,1,3,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[1,6,4,8,3,2,5,7]=>[4,6,1,3,8,2,5,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[1,4,8,5,6,2,3,7]=>[1,2,8,4,5,6,3,7]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[1,2,8,5,3,7,4,6]=>[5,1,8,7,2,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,7,2,5,6,1,4,3]=>[5,2,1,8,7,6,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[1,8,2,5,4,7,3,6]=>[1,8,5,4,2,3,7,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[6,7,4,2,1,3,8,5]=>[6,2,7,8,4,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[6,4,3,8,5,7,1,2]=>[1,6,4,8,3,5,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[7,4,3,6,2,1,5,8]=>[4,3,7,2,6,1,5,8]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[7,2,5,3,4,1,6,8]=>[2,3,7,5,4,1,6,8]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[2,7,4,3,1,5,6,8]=>[4,2,7,3,1,5,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[6,8,4,2,3,1,5,7]=>[2,4,6,3,8,1,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[3,7,5,2,4,1,6,8]=>[3,2,7,5,4,1,6,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[7,1,3,2,8,4,5,6]=>[1,3,7,8,2,4,5,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[5,2,8,6,1,3,4,7]=>[2,1,5,8,3,6,4,7]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[2,8,3,1,4,5,6,7]=>[2,3,1,4,8,5,6,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[7,4,8,2,3,1,5,6]=>[2,4,3,7,1,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[7,6,4,5,1,8,2,3]=>[1,4,7,6,5,8,2,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[8,6,4,1,3,7,2,5]=>[1,6,4,8,3,2,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[7,4,1,2,8,3,5,6]=>[1,4,7,2,3,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[6,5,8,1,3,7,2,4]=>[1,6,3,5,2,8,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[8,3,1,7,2,4,5,6]=>[3,1,2,4,8,7,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[2,8,1,4,7,3,5,6]=>[4,2,1,3,5,8,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[3,1,8,5,4,7,6,2]=>[8,5,7,3,4,1,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[4,1,5,8,3,7,6,2]=>[8,4,5,3,1,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[4,8,6,3,7,1,5,2]=>[4,3,8,6,7,1,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[4,8,6,3,7,5,1,2]=>[1,8,4,6,7,3,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[4,6,8,2,7,5,1,3]=>[2,6,4,8,1,7,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[4,6,2,8,7,5,1,3]=>[2,8,6,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[5,6,7,2,3,1,8,4]=>[5,2,6,7,8,3,1,4]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[5,6,7,2,8,3,1,4]=>[2,5,6,7,8,3,1,4]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[5,6,7,2,1,8,3,4]=>[2,5,6,7,8,1,3,4]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[5,6,7,2,1,3,8,4]=>[5,2,6,7,8,1,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[5,6,1,7,8,2,4,3]=>[5,1,6,7,8,2,4,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[5,6,1,7,2,4,8,3]=>[5,1,6,7,4,2,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[5,1,6,7,8,3,4,2]=>[5,1,6,3,7,8,4,2]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[4,1,6,8,7,5,3,2]=>[8,6,4,7,5,1,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[5,6,1,7,8,4,2,3]=>[1,5,6,7,8,2,4,3]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[4,6,8,1,7,5,2,3]=>[1,6,4,8,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[4,8,6,1,7,5,3,2]=>[8,4,6,7,5,3,1,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[5,6,7,1,8,3,2,4]=>[3,5,6,7,8,1,2,4]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[5,6,7,3,1,2,8,4]=>[5,1,6,7,8,3,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[5,6,7,3,8,1,2,4]=>[1,3,5,6,7,2,8,4]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[5,6,8,7,4,2,1,3]=>[2,8,5,6,7,4,1,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[7,4,5,6,1,8,3,2]=>[4,5,7,6,8,3,1,2]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[3,2,7,6,1,8,5,4]=>[7,6,8,3,2,5,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[4,7,5,1,6,8,2,3]=>[1,4,7,5,6,2,8,3]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[3,2,5,1,4,8,7,6]=>[8,7,3,2,1,5,4,6]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[8,5,4,1,3,2,7,6]=>[8,1,7,5,4,3,2,6]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[1,4,2,3,6,8,7,5]=>[8,6,1,4,2,3,7,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[5,4,8,3,7,1,6,2]=>[5,4,3,8,1,7,6,2]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,3]
[6,4,1,8,5,3,7,2]=>[6,4,8,5,3,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[3,1,7,6,5,8,2,4]=>[3,7,6,1,5,2,8,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[6,1,4,7,2,8,3,5]=>[4,6,1,2,7,8,3,5]=>[[1,2,3,5],[4,6,7,8]]=>[4,2,2]
[3,2,1,7,6,8,4,5]=>[3,7,6,2,1,4,8,5]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[3,2,8,6,4,7,1,5]=>[3,6,8,2,4,1,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[1,8,6,5,3,7,2,4]=>[3,6,8,5,1,2,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[8,2,5,3,6,7,1,4]=>[2,3,5,8,1,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[4,7,5,3,1,8,6,2]=>[7,8,4,5,3,6,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[4,5,3,6,8,1,7,2]=>[4,5,3,6,8,1,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[3,5,2,6,1,8,7,4]=>[8,5,3,6,2,7,1,4]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[1,6,3,5,7,2,8,4]=>[6,5,1,3,7,8,2,4]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[8,4,6,5,7,2,1,3]=>[2,4,8,6,5,7,1,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[7,4,5,2,6,8,1,3]=>[2,4,5,7,1,6,8,3]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[7,8,4,3,1,2,6,5]=>[7,1,4,8,6,3,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[6,5,1,4,3,2,8,7]=>[8,6,5,1,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[3,6,4,5,2,1,8,7]=>[8,3,6,4,5,2,1,7]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[2,4,3,8,6,1,5,7]=>[4,2,8,3,1,6,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[7,8,1,3,5,6,2,4]=>[3,1,2,5,7,8,6,4]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[7,8,3,1,5,6,2,4]=>[3,1,7,2,8,5,6,4]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[7,1,3,8,5,6,2,4]=>[1,7,3,2,8,5,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[1,3,7,5,8,2,6,4]=>[7,3,5,1,8,2,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[3,1,7,5,8,2,6,4]=>[7,3,5,8,1,2,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[3,5,7,1,8,4,6,2]=>[5,3,7,1,8,4,6,2]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[5,3,7,8,4,6,1,2]=>[1,5,3,7,4,8,6,2]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[5,3,7,8,4,1,6,2]=>[5,3,7,4,8,6,1,2]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[5,3,7,8,1,4,6,2]=>[3,5,4,1,7,8,6,2]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[1,5,3,7,8,4,2,6]=>[5,3,7,1,4,8,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[5,1,3,7,8,4,2,6]=>[5,1,7,3,4,8,2,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[3,6,2,1,4,5,8,7]=>[8,3,2,1,6,4,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[4,6,2,5,1,3,8,7]=>[8,2,4,1,6,5,3,7]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[6,4,2,5,1,3,8,7]=>[8,2,4,6,1,5,3,7]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[8,6,1,7,3,2,4,5]=>[3,1,6,8,7,2,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[2,5,8,1,7,3,4,6]=>[2,5,1,3,8,4,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[3,5,8,2,7,1,4,6]=>[3,2,5,1,4,8,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[4,5,8,2,6,1,3,7]=>[2,4,5,1,6,8,3,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[2,6,8,3,7,1,4,5]=>[2,3,6,1,4,8,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[5,1,8,4,6,2,3,7]=>[1,5,2,8,4,6,3,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[5,8,4,1,6,2,3,7]=>[1,5,4,6,8,2,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[5,4,8,1,6,2,3,7]=>[1,5,4,2,8,6,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[4,8,5,1,6,2,3,7]=>[1,4,5,8,6,2,3,7]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[3,1,8,4,2,5,6,7]=>[3,4,1,8,2,5,6,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[3,8,4,2,1,5,6,7]=>[3,4,2,8,1,5,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[2,3,8,4,1,5,6,7]=>[2,3,4,8,1,5,6,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[4,8,5,2,6,1,3,7]=>[2,4,5,8,1,6,3,7]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[2,1,4,8,5,3,6,7]=>[4,2,8,1,5,3,6,7]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[3,2,8,4,1,5,6,7]=>[3,2,4,8,1,5,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[2,8,4,3,1,5,6,7]=>[4,2,3,8,1,5,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[4,1,7,5,6,2,8,3]=>[4,7,5,6,1,8,2,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[5,7,4,3,8,1,6,2]=>[5,4,7,3,8,1,6,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[5,7,4,3,8,2,6,1]=>[5,4,7,3,2,8,6,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[6,1,7,5,2,8,4,3]=>[6,7,5,8,4,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[6,7,4,8,2,5,3,1]=>[4,6,7,8,2,5,3,1]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[5,7,4,3,8,2,1,6]=>[5,4,7,3,2,8,1,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[6,7,5,8,1,2,4,3]=>[6,1,2,7,5,8,4,3]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[6,1,3,4,8,2,5,7]=>[3,1,4,6,2,5,8,7]=>[[1,2,5,7],[3,4,6,8]]=>[3,3,2]
[6,7,4,8,2,3,5,1]=>[2,4,6,7,3,8,5,1]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[6,3,1,4,8,2,5,7]=>[3,4,6,1,2,5,8,7]=>[[1,2,5,7],[3,4,6,8]]=>[3,3,2]
[6,7,5,8,4,1,3,2]=>[6,1,7,5,8,4,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[1,4,3,6,5,8,2,7]=>[6,4,3,1,5,2,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[6,7,8,2,3,5,4,1]=>[6,2,3,7,8,5,4,1]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[5,8,6,2,3,7,4,1]=>[5,2,8,6,7,3,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[2,8,3,4,7,5,6,1]=>[2,8,3,4,7,5,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[8,7,2,3,6,5,4,1]=>[8,7,2,3,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[3,8,1,7,5,2,6,4]=>[8,3,7,1,5,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[4,8,1,6,7,2,5,3]=>[4,6,1,8,2,7,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[2,1,3,8,4,6,5,7]=>[2,8,6,1,3,4,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[8,2,1,7,4,3,6,5]=>[8,2,7,6,4,1,3,5]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[8,3,1,5,7,2,6,4]=>[8,3,1,5,7,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[8,4,5,1,7,2,6,3]=>[4,5,8,1,7,6,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[1,5,6,8,7,4,2,3]=>[1,8,5,6,2,7,4,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[8,4,5,7,6,3,2,1]=>[8,4,5,7,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[5,2,7,8,6,3,4,1]=>[2,7,5,8,3,6,4,1]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[4,2,8,6,7,3,5,1]=>[4,2,8,6,3,7,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[3,2,8,7,5,4,6,1]=>[5,8,7,3,2,4,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[3,1,8,7,5,6,2,4]=>[3,1,8,7,5,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[5,1,7,8,6,4,2,3]=>[1,7,5,8,6,2,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[7,8,1,2,6,3,4,5]=>[1,2,7,3,4,8,6,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[6,2,4,8,1,5,3,7]=>[4,2,6,1,8,5,3,7]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[3,4,8,5,1,6,7,2]=>[3,4,8,5,6,1,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[1,4,8,2,6,3,7,5]=>[8,4,1,6,2,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[4,2,6,8,1,5,3,7]=>[4,6,2,1,5,8,3,7]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[6,1,7,5,8,4,3,2]=>[6,7,5,8,4,1,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[6,2,1,8,4,5,3,7]=>[6,2,4,8,1,5,3,7]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[1,2,7,8,5,3,4,6]=>[1,2,7,8,3,5,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[6,3,7,8,5,4,1,2]=>[1,6,7,8,3,5,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[6,1,5,7,8,4,3,2]=>[6,5,7,1,8,4,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[3,1,8,4,5,6,7,2]=>[3,4,1,8,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[3,2,7,8,5,1,4,6]=>[3,2,7,1,5,8,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[2,7,3,8,5,1,4,6]=>[2,3,7,8,1,5,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[3,6,2,8,5,1,4,7]=>[3,6,2,1,8,5,4,7]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[4,1,2,8,7,5,3,6]=>[4,8,7,1,5,2,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[1,4,2,8,7,5,3,6]=>[4,8,7,5,1,2,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[7,2,1,8,5,3,4,6]=>[2,5,7,8,1,3,4,6]=>[[1,3,4,6],[2,5,7,8]]=>[2,3,2,1]
[7,1,6,5,8,4,3,2]=>[7,6,5,8,1,4,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[6,5,7,1,8,4,3,2]=>[6,5,7,8,4,3,1,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[5,7,6,1,8,4,3,2]=>[7,5,6,8,4,3,1,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[6,7,1,5,8,4,3,2]=>[6,7,5,1,8,4,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[6,7,3,8,5,4,1,2]=>[1,6,7,8,5,3,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[7,1,2,8,4,5,3,6]=>[1,7,2,8,4,5,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[7,6,1,5,8,4,3,2]=>[7,6,5,1,8,4,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[7,1,6,5,3,2,4,8]=>[1,7,6,5,3,2,4,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[1,8,7,5,3,2,4,6]=>[3,5,8,7,1,2,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[1,8,7,4,2,5,3,6]=>[4,5,8,7,1,2,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[8,7,4,2,5,3,6,1]=>[4,5,8,7,2,3,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[7,1,6,4,2,5,3,8]=>[7,1,6,4,5,2,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[5,3,6,4,2,7,1,8]=>[5,6,3,4,2,7,1,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[1,5,3,8,7,4,2,6]=>[5,8,3,7,1,4,2,6]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[5,3,8,7,4,2,1,6]=>[5,8,3,7,4,2,1,6]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[7,4,2,1,8,6,3,5]=>[4,7,8,2,6,1,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[8,6,3,5,7,4,2,1]=>[6,3,8,5,7,4,2,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[5,1,8,6,3,7,4,2]=>[5,8,6,7,3,1,4,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[6,1,8,7,4,2,5,3]=>[4,8,6,7,5,1,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[8,6,3,2,4,7,5,1]=>[6,3,8,7,2,4,5,1]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[6,1,8,7,5,3,2,4]=>[3,8,6,7,5,1,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[4,3,2,8,7,6,1,5]=>[4,8,7,3,2,1,6,5]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[2,4,5,1,3,8,7,6]=>[8,7,2,1,4,5,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[7,5,8,6,3,2,4,1]=>[3,7,8,5,6,2,4,1]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[8,6,3,1,7,4,2,5]=>[3,6,8,7,4,1,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[8,7,4,2,5,3,1,6]=>[4,5,8,7,2,3,1,6]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[4,1,8,7,5,3,2,6]=>[4,8,7,5,3,1,2,6]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[2,8,6,4,1,3,7,5]=>[6,2,8,7,1,4,3,5]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[8,5,2,6,3,1,7,4]=>[5,6,8,7,2,3,1,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[7,4,8,5,2,6,3,1]=>[4,7,8,5,6,2,3,1]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[1,8,5,2,7,4,6,3]=>[5,8,1,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[8,5,2,7,4,6,3,1]=>[5,8,2,7,4,6,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[8,6,3,1,5,7,4,2]=>[6,3,8,5,7,1,4,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[4,1,7,5,8,6,3,2]=>[7,8,4,5,6,1,3,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[7,4,8,5,2,1,6,3]=>[4,7,8,5,6,2,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[8,5,2,1,7,4,6,3]=>[5,8,2,7,4,1,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[1,7,4,6,3,8,5,2]=>[7,6,4,1,8,3,5,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[3,5,6,2,1,4,8,7]=>[8,3,2,5,6,1,4,7]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[4,1,8,5,7,3,2,6]=>[4,5,8,1,7,3,2,6]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[5,1,7,4,8,3,2,6]=>[5,4,7,1,8,3,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[4,7,2,8,3,6,1,5]=>[4,2,3,7,8,1,6,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[4,6,2,7,3,1,8,5]=>[6,4,7,8,2,3,1,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[3,7,8,2,4,1,6,5]=>[7,3,2,4,8,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[6,2,8,4,1,7,3,5]=>[2,6,8,4,1,7,3,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[6,3,4,8,1,7,2,5]=>[3,4,6,1,8,2,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[4,3,5,8,1,2,7,6]=>[8,1,4,3,5,2,7,6]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[1,8,5,4,2,3,7,6]=>[8,1,5,7,4,2,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[3,5,4,8,1,2,7,6]=>[8,1,5,3,4,2,7,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[6,4,3,8,1,7,2,5]=>[4,6,3,1,8,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[6,5,3,8,7,1,2,4]=>[1,3,8,6,5,2,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[4,6,3,8,1,7,2,5]=>[4,3,6,1,8,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[1,8,7,4,2,6,3,5]=>[4,1,8,7,6,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[5,7,3,8,6,1,2,4]=>[1,3,7,5,8,2,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[2,6,8,5,7,1,3,4]=>[2,1,6,3,5,8,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[5,3,6,8,7,1,2,4]=>[1,3,8,5,2,6,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[6,3,5,8,7,1,2,4]=>[1,3,8,2,6,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[7,2,8,5,6,1,3,4]=>[2,1,3,7,8,5,6,4]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[5,2,8,6,7,1,3,4]=>[2,1,5,8,3,6,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[5,2,8,7,6,1,3,4]=>[2,1,8,7,5,3,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[6,2,8,7,5,1,3,4]=>[2,1,8,6,7,3,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[2,6,8,7,5,1,3,4]=>[2,1,8,6,3,7,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[2,7,8,6,5,1,3,4]=>[2,1,7,8,3,6,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[6,3,8,7,5,1,2,4]=>[1,3,8,6,7,2,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[5,4,8,7,1,3,2,6]=>[1,8,5,4,3,7,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[4,8,6,1,3,2,5,7]=>[1,4,8,3,6,2,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[4,2,1,8,7,3,5,6]=>[4,2,8,1,7,3,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[3,4,2,8,6,1,5,7]=>[3,4,8,2,1,6,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[8,1,4,2,3,6,7,5]=>[8,1,2,4,6,3,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[3,7,5,1,6,8,2,4]=>[3,1,7,5,6,2,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[8,1,5,6,4,7,2,3]=>[1,5,6,2,8,4,7,3]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[7,5,8,2,6,3,1,4]=>[2,5,7,8,3,6,1,4]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[7,3,2,6,1,8,5,4]=>[7,6,3,8,2,5,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[6,4,7,2,3,1,8,5]=>[6,2,7,4,8,3,1,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[5,3,1,8,4,6,2,7]=>[5,3,4,8,1,6,2,7]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[2,7,4,3,6,8,1,5]=>[4,2,7,3,1,6,8,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[4,7,3,8,5,2,1,6]=>[4,7,3,8,5,2,1,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[3,1,7,4,8,5,2,6]=>[3,7,8,4,1,5,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[7,4,1,6,3,2,8,5]=>[7,4,6,8,3,1,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[7,3,1,4,5,2,8,6]=>[7,3,8,1,4,5,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[8,1,2,4,6,7,5,3]=>[6,4,1,2,8,7,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[8,1,3,6,7,5,4,2]=>[6,8,3,1,7,5,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[7,5,2,3,8,6,1,4]=>[2,7,3,8,5,1,6,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[4,7,3,2,8,5,6,1]=>[4,7,3,8,2,5,6,1]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[8,4,5,7,6,1,3,2]=>[8,1,4,5,7,6,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[7,5,8,4,2,3,6,1]=>[2,5,7,4,8,3,6,1]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[3,8,4,6,1,7,5,2]=>[8,3,4,6,7,5,1,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[3,7,4,6,5,2,8,1]=>[7,3,6,4,5,2,8,1]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[8,3,1,4,5,7,6,2]=>[8,3,4,1,7,5,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[3,5,1,6,8,4,7,2]=>[5,3,6,4,1,8,7,2]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[6,1,5,7,3,8,4,2]=>[6,5,7,1,8,3,4,2]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[7,2,6,5,8,4,1,3]=>[2,7,6,1,5,8,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[8,3,2,5,1,6,7,4]=>[5,3,2,8,6,1,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[2,6,8,3,7,4,1,5]=>[2,6,8,3,4,7,1,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[5,2,6,8,3,1,7,4]=>[5,6,8,2,3,7,1,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[3,6,5,8,4,1,7,2]=>[6,5,3,4,8,7,1,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[5,7,3,1,6,4,8,2]=>[5,7,3,6,4,1,8,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[6,1,3,2,4,8,7,5]=>[8,6,1,7,3,2,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[8,7,4,2,3,6,1,5]=>[2,4,3,8,7,1,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[8,7,1,5,4,2,3,6]=>[1,2,8,7,5,4,3,6]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[8,7,2,5,4,1,3,6]=>[2,1,8,5,7,4,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[8,7,2,5,3,1,4,6]=>[2,3,8,5,7,1,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[7,1,8,6,2,4,3,5]=>[1,7,4,8,6,2,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[7,1,6,2,8,5,3,4]=>[1,7,6,8,2,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[6,3,4,1,7,2,8,5]=>[6,3,7,4,8,1,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[7,2,4,3,5,1,8,6]=>[7,2,8,4,3,5,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[5,1,7,2,3,8,6,4]=>[7,5,1,8,6,2,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[7,6,3,1,4,8,2,5]=>[3,4,7,6,1,2,8,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[6,1,8,2,7,5,3,4]=>[1,6,8,7,2,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[6,2,1,5,3,8,4,7]=>[6,5,2,1,8,3,4,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[6,1,5,2,8,4,3,7]=>[6,5,1,8,4,2,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[7,4,3,8,1,5,2,6]=>[4,3,7,1,8,5,2,6]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[7,3,4,2,8,5,1,6]=>[3,7,4,8,2,5,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[7,1,6,3,4,2,8,5]=>[7,6,1,3,8,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[8,5,1,3,7,4,2,6]=>[5,1,8,3,7,4,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[8,6,1,3,7,5,2,4]=>[1,6,8,3,7,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[6,7,1,3,8,5,2,4]=>[1,6,7,3,8,2,5,4]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[7,1,3,8,4,2,6,5]=>[7,1,8,6,3,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[5,6,2,8,1,3,7,4]=>[5,2,6,8,1,3,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[6,4,2,7,3,8,1,5]=>[4,6,2,7,3,1,8,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[5,1,8,3,7,4,2,6]=>[5,1,8,7,3,4,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[7,1,6,4,5,2,8,3]=>[7,4,1,6,5,8,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[4,5,7,2,8,6,1,3]=>[2,7,4,5,8,1,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[3,5,1,7,2,6,8,4]=>[5,3,7,1,6,2,8,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[4,5,7,2,8,1,3,6]=>[2,4,5,1,7,3,8,6]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[4,6,7,2,1,5,8,3]=>[4,6,2,7,5,1,8,3]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[4,6,7,1,5,8,3,2]=>[4,6,7,1,5,8,3,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[6,1,3,7,4,8,5,2]=>[6,7,8,1,3,4,5,2]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[4,1,5,2,7,6,3,8]=>[7,4,5,6,1,2,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[2,5,1,4,3,8,6,7]=>[5,8,2,1,4,3,6,7]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[7,5,1,4,2,8,6,3]=>[7,8,5,1,4,6,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[7,5,4,1,3,8,6,2]=>[7,8,1,5,4,3,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[6,3,2,8,1,5,7,4]=>[6,3,5,2,1,8,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[7,4,3,2,8,1,6,5]=>[7,4,8,3,2,1,6,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[7,6,2,4,8,3,5,1]=>[2,7,4,6,3,8,5,1]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[7,3,6,4,8,1,5,2]=>[3,7,4,6,8,1,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[2,7,5,3,8,1,4,6]=>[2,5,7,3,1,4,8,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[8,6,3,2,7,5,4,1]=>[6,8,7,5,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[2,8,5,6,1,4,3,7]=>[2,8,1,5,6,4,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[7,6,4,8,3,2,5,1]=>[4,7,6,3,8,2,5,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[5,4,8,3,2,1,7,6]=>[8,5,4,3,7,2,1,6]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[3,6,8,2,1,5,7,4]=>[6,3,2,8,1,5,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[4,1,5,7,3,6,2,8]=>[4,5,3,1,7,6,2,8]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[4,2,5,8,3,1,7,6]=>[8,4,5,2,3,7,1,6]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[6,1,2,7,8,3,5,4]=>[6,1,7,2,8,3,5,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[5,3,1,8,6,4,2,7]=>[5,8,6,3,4,1,2,7]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[3,1,8,4,7,5,2,6]=>[3,8,4,7,1,5,2,6]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[4,2,8,7,3,5,1,6]=>[4,2,8,3,7,5,1,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[7,3,8,1,6,4,2,5]=>[3,7,1,8,6,4,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[4,7,8,1,5,3,2,6]=>[4,1,7,8,5,3,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[7,1,8,6,2,5,3,4]=>[1,7,2,8,6,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[5,8,7,1,3,6,4,2]=>[5,8,1,7,3,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[3,8,7,2,1,6,4,5]=>[3,8,2,7,1,6,4,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[2,8,7,1,6,3,5,4]=>[8,2,7,1,6,3,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[5,8,7,2,6,1,4,3]=>[5,2,8,7,1,6,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[5,8,6,4,3,2,1,7]=>[5,8,6,4,3,2,1,7]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[5,3]
[1,3,7,5,4,2,8,6]=>[7,8,5,3,1,4,2,6]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[6,1,3,5,4,2,7,8]=>[6,3,1,5,4,2,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[5,2,6,3,4,7,1,8]=>[2,5,6,3,4,7,1,8]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[3,4,7,5,8,6,1,2]=>[1,7,8,3,4,5,6,2]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[2,4,7,1,5,3,8,6]=>[7,4,2,8,1,5,3,6]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[1,3,6,7,4,8,5,2]=>[6,7,3,1,8,4,5,2]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[2,7,6,5,3,1,8,4]=>[7,6,5,8,2,3,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[4,7,6,5,2,1,8,3]=>[7,6,4,5,8,2,1,3]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[6,3,1,5,4,7,8,2]=>[6,3,5,4,1,7,8,2]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[5,3,6,1,4,2,7,8]=>[3,5,6,1,4,2,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[1,7,4,2,6,3,8,5]=>[7,4,6,8,1,2,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[6,4,1,2,5,3,7,8]=>[4,1,6,5,2,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[9,1,2,3,4,5,6,8,7]=>[9,1,2,3,4,5,6,8,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9]
[10,1,2,3,4,5,6,7,9,8]=>[10,1,2,3,4,5,6,7,9,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10]
[2,3,4,5,6,9,7,8,1]=>[2,9,3,4,5,6,7,8,1]=>[[1,3,4,5,6,7,8],[2],[9]]=>[2,7]
[2,3,4,5,6,7,8,10,9,1]=>[10,2,3,4,5,6,7,8,9,1]=>[[1,3,4,5,6,7,8,9],[2],[10]]=>[2,8]
[5,2,8,7,6,4,3,1]=>[8,7,5,6,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[8,2,7,6,1,5,4,3]=>[8,7,2,6,1,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[8,4,1,7,6,5,3,2]=>[8,7,4,6,5,3,1,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[6,5,7,3,8,4,2,1]=>[6,5,7,8,3,4,2,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[6,8,7,2,4,3,5,1]=>[2,8,4,6,7,3,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[6,3,4,7,8,2,5,1]=>[3,4,6,2,7,8,5,1]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[5,3,7,4,8,6,1,2]=>[1,7,5,8,3,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,3,7,4,8,6,2,5]=>[3,7,8,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[6,1,7,5,8,3,4,2]=>[6,1,7,5,3,8,4,2]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[1,5,6,8,4,7,3,2]=>[5,6,4,1,8,7,3,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[4,1,3,7,6,5,8,2]=>[7,6,4,1,3,5,8,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[3,4,1,7,5,8,6,2]=>[7,8,3,4,5,1,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[8,5,7,4,3,1,6,2]=>[5,4,8,7,3,6,1,2]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,3]
[6,8,5,1,7,2,4,3]=>[6,1,5,8,7,4,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[7,8,3,6,2,1,4,5]=>[3,2,1,7,8,6,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[1,8,7,2,3,5,6,4]=>[8,1,2,3,7,5,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[8,2,3,1,5,7,6,4]=>[8,7,2,3,1,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[6,3,2,1,8,4,7,5]=>[6,8,3,7,2,1,4,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[2,3,7,4,1,8,5,6]=>[2,7,8,3,4,1,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[6,4,1,3,2,7,8,5]=>[6,7,1,4,3,2,8,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[2,7,8,5,1,3,6,4]=>[7,2,1,5,8,6,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[4,8,7,6,2,3,5,1]=>[2,4,8,7,3,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[8,1,4,7,2,5,6,3]=>[4,5,1,2,8,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[4,2,6,8,3,1,5,7]=>[4,2,6,3,1,8,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[3,7,6,2,4,5,1,8]=>[3,2,7,4,6,5,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[2,3,6,5,8,1,4,7]=>[2,6,3,1,5,4,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[2,3,5,8,6,1,4,7]=>[2,3,8,1,5,6,4,7]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[6,4,1,2,8,3,5,7]=>[1,6,4,2,3,8,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[2,1,5,3,8,7,4,6]=>[5,8,2,7,1,3,4,6]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[4,2,7,1,8,3,5,6]=>[4,2,1,7,3,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[4,1,8,2,7,3,5,6]=>[4,1,2,8,3,7,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[1,2,7,5,3,8,4,6]=>[5,7,1,8,2,3,4,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[3,2,7,1,4,8,5,6]=>[3,7,2,1,4,8,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[1,2,3,6,8,4,7,5]=>[6,8,1,2,3,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[6,2,8,3,7,5,1,4]=>[2,6,8,3,7,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[4,2,8,3,7,5,6,1]=>[4,8,2,3,7,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[7,3,4,8,6,5,1,2]=>[1,7,8,3,6,4,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[4,6,3,8,5,7,2,1]=>[6,4,3,8,5,7,2,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[7,5,3,8,6,2,4,1]=>[3,7,8,5,2,6,4,1]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[1,8,4,3,7,5,6,2]=>[4,8,7,1,3,5,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[2,5,8,3,7,4,6,1]=>[5,2,8,3,4,7,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[3,6,7,8,4,5,2,1]=>[3,6,4,7,8,5,2,1]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[2,6,8,5,4,7,3,1]=>[6,8,2,5,4,7,3,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[7,4,6,5,8,3,2,1]=>[7,4,6,5,8,3,2,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[4,3,7,8,5,6,2,1]=>[4,7,3,5,8,6,2,1]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[1,8,2,7,4,5,6,3]=>[8,1,2,4,7,5,6,3]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[5,2,8,4,6,7,3,1]=>[5,4,2,8,6,7,3,1]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[4,3,6,8,5,7,2,1]=>[6,4,3,5,8,7,2,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[3,4,6,8,7,2,5,1]=>[3,8,4,2,6,7,5,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[7,3,5,8,6,2,4,1]=>[3,7,2,8,5,6,4,1]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[1,8,3,5,7,4,6,2]=>[8,1,3,5,4,7,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[2,7,8,4,5,6,3,1]=>[4,2,7,5,8,6,3,1]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[5,7,4,6,8,3,2,1]=>[5,4,7,6,8,3,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[3,6,5,8,4,7,2,1]=>[6,5,3,4,8,7,2,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[4,2,5,1,3,8,6,7]=>[2,8,4,1,5,3,6,7]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[5,3,6,1,7,2,4,8]=>[3,5,1,6,7,2,4,8]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[3,7,4,1,2,8,5,6]=>[1,7,3,8,4,2,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[7,5,1,2,4,8,6,3]=>[7,8,1,2,5,4,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[7,6,3,8,1,2,5,4]=>[7,1,3,6,8,2,5,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[4,7,5,2,8,1,3,6]=>[2,4,7,5,1,3,8,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[8,2,6,3,7,1,4,5]=>[2,3,1,8,6,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[8,6,1,2,7,4,5,3]=>[6,1,8,2,7,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[8,4,7,1,2,3,6,5]=>[8,1,2,4,3,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,5,7,1,2,4,6,3]=>[5,1,2,4,8,7,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[3,8,5,6,1,2,4,7]=>[1,3,2,5,8,6,4,7]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[3,7,5,8,1,2,4,6]=>[1,3,2,7,5,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[7,6,4,8,1,3,5,2]=>[4,1,7,6,3,8,5,2]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[6,5,8,1,2,4,7,3]=>[6,1,2,5,4,8,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[3,6,8,1,2,5,7,4]=>[6,1,3,2,5,8,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[3,7,2,4,8,1,6,5]=>[7,3,2,4,8,1,6,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[4,6,3,8,1,2,5,7]=>[1,4,3,6,2,5,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[4,1,7,8,2,3,6,5]=>[7,1,4,2,8,3,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[5,1,2,8,6,3,4,7]=>[1,5,8,2,6,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[6,1,8,5,2,3,4,7]=>[1,2,6,5,8,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[6,1,7,5,2,3,4,8]=>[1,2,6,7,5,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[7,2,8,1,6,3,4,5]=>[2,1,7,3,8,4,6,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[4,8,7,1,3,5,6,2]=>[4,1,3,8,5,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[3,8,7,1,2,4,6,5]=>[8,1,3,2,7,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[7,8,1,2,6,5,3,4]=>[1,7,8,2,3,6,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,4,8,2,7,5,3,6]=>[4,8,1,7,2,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[7,8,2,1,6,3,5,4]=>[7,2,8,1,6,5,3,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[1,2,8,7,5,4,3,6]=>[5,8,7,4,1,2,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[3,4,8,7,5,6,1,2]=>[1,3,8,7,4,5,6,2]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[1,8,3,7,6,4,5,2]=>[8,1,7,3,6,4,5,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[5,2,7,1,4,6,8,3]=>[5,2,4,1,7,6,8,3]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[4,6,7,5,2,1,8,3]=>[6,4,7,5,8,2,1,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[5,3,1,4,6,2,7,8]=>[3,5,4,1,6,2,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[5,1,2,4,7,6,8,3]=>[7,5,1,2,4,6,8,3]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,2,1]
[4,8,1,2,6,7,3,5]=>[4,1,2,6,3,8,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[4,1,7,8,2,6,3,5]=>[4,1,7,2,8,3,6,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[1,2,8,7,6,5,3,4]=>[1,8,7,6,5,2,3,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[3,1,2,4,6,8,7,5]=>[8,6,1,3,2,4,7,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[3,1,8,4,5,7,6,2]=>[8,3,7,1,4,5,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[3,8,6,5,2,7,1,4]=>[3,6,8,2,5,1,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[3,8,5,6,1,7,4,2]=>[5,3,8,6,7,4,1,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[3,7,8,5,2,1,6,4]=>[7,3,5,8,6,2,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[3,7,2,8,4,1,6,5]=>[7,3,8,2,6,4,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[2,8,1,7,4,6,5,3]=>[8,7,2,4,1,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[1,3,4,8,7,5,2,6]=>[3,8,7,1,4,5,2,6]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[8,2,4,1,7,3,5,6]=>[4,2,1,3,8,7,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[3,6,1,4,2,8,7,5]=>[8,6,3,7,1,4,2,5]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[3,1,4,7,8,5,2,6]=>[3,7,4,1,5,8,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[1,8,7,4,3,6,2,5]=>[4,3,8,7,1,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[7,4,1,3,8,2,6,5]=>[7,1,8,4,3,2,6,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[4,8,2,3,1,5,7,6]=>[8,2,4,3,1,7,5,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[4,8,6,2,1,3,7,5]=>[8,2,4,6,7,1,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[2,7,4,1,8,3,5,6]=>[4,2,7,1,3,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[1,7,8,4,2,3,6,5]=>[7,1,2,8,6,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[4,7,1,3,8,2,6,5]=>[7,4,1,3,8,2,6,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[8,7,1,3,4,2,6,5]=>[8,3,1,4,7,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[6,4,1,3,7,2,8,5]=>[6,7,1,4,3,8,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[8,1,4,3,6,2,7,5]=>[8,1,6,4,3,7,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[4,2,3,5,8,7,1,6]=>[2,8,4,3,5,1,7,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[1,8,6,4,2,3,7,5]=>[6,1,8,7,4,2,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[6,3,1,4,2,8,7,5]=>[8,6,3,7,4,1,2,5]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[7,3,8,1,2,6,4,5]=>[1,7,3,2,8,4,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[7,1,4,5,3,2,6,8]=>[4,1,7,5,3,2,6,8]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[1,8,4,2,6,5,3,7]=>[4,8,6,5,1,2,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[5,1,4,8,6,3,2,7]=>[5,8,4,1,6,3,2,7]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[4,3,8,1,5,7,2,6]=>[4,3,5,1,2,8,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[7,1,5,4,8,6,3,2]=>[7,8,5,4,1,6,3,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[2,1,8,7,5,3,6,4]=>[5,8,7,6,2,1,3,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[5,8,3,7,4,1,6,2]=>[5,3,8,4,7,6,1,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[8,1,7,4,2,6,5,3]=>[8,7,1,6,4,5,2,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[5,6,3,1,8,4,7,2]=>[5,6,3,8,4,1,7,2]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[5,7,1,4,8,6,3,2]=>[7,5,8,1,4,6,3,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[3,5,7,4,8,6,2,1]=>[7,5,3,8,4,6,2,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[2,6,7,4,5,8,3,1]=>[6,2,4,7,5,8,3,1]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[5,4,3,6,8,2,7,1]=>[5,4,3,6,2,8,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[7,5,8,4,1,6,3,2]=>[5,7,4,8,6,3,1,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[2,7,8,4,5,1,6,3]=>[4,2,7,5,8,6,1,3]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[5,7,3,8,4,1,6,2]=>[5,3,7,8,4,6,1,2]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[5,6,3,8,1,4,7,2]=>[3,5,6,4,1,8,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[8,4,1,2,5,6,7,3]=>[4,1,5,2,8,6,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[3,7,8,4,1,6,5,2]=>[7,3,8,4,6,5,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[8,5,1,7,2,6,4,3]=>[5,8,7,1,6,4,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[7,5,1,8,2,6,3,4]=>[1,5,7,8,2,6,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[5,4,2,6,1,3,8,7]=>[8,2,5,4,1,6,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[2,5,8,1,7,4,3,6]=>[5,2,8,1,7,4,3,6]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[6,8,2,3,7,5,1,4]=>[2,6,3,8,1,7,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[7,6,2,5,4,8,1,3]=>[2,7,1,6,5,4,8,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[2,6,5,1,8,4,3,7]=>[6,5,2,8,4,1,3,7]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[2,1,5,8,4,3,7,6]=>[8,5,2,7,1,4,3,6]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[5,8,4,2,6,7,1,3]=>[2,5,4,1,8,6,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[4,8,3,2,1,7,6,5]=>[8,7,4,3,6,2,1,5]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[4,1,3,7,2,6,8,5]=>[7,4,1,3,2,6,8,5]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[3,4,8,2,1,6,5,7]=>[3,8,4,2,6,1,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[6,8,3,7,2,1,5,4]=>[6,3,8,2,7,5,1,4]=>[[1,4],[2,5],[3,7],[6,8]]=>[3,3,2]
[5,1,7,4,6,8,3,2]=>[5,7,4,1,6,8,3,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[7,6,4,8,1,5,3,2]=>[4,7,6,8,5,1,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[5,3,7,1,8,2,6,4]=>[5,7,3,1,8,6,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[2,7,6,3,8,1,4,5]=>[2,3,7,6,1,4,8,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[2,1,7,6,4,8,3,5]=>[4,7,6,2,1,3,8,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[5,4,8,7,2,6,1,3]=>[2,5,8,4,1,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[3,4,1,8,6,2,7,5]=>[8,3,6,4,7,1,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[4,8,6,5,2,7,1,3]=>[2,6,8,4,5,1,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[3,2,8,7,5,4,1,6]=>[5,8,7,3,2,4,1,6]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[6,5,2,1,3,4,8,7]=>[8,2,1,6,5,3,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[7,3,6,5,2,8,4,1]=>[7,6,3,5,8,2,4,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[7,6,2,3,4,8,5,1]=>[7,2,3,6,8,4,5,1]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[8,7,5,3,1,4,2,6]=>[3,5,8,7,4,1,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[7,1,5,3,8,4,6,2]=>[5,7,3,1,8,4,6,2]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[3,7,6,4,2,8,5,1]=>[7,6,8,3,4,2,5,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[3,8,7,4,2,1,5,6]=>[3,4,8,7,2,1,5,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[7,8,2,3,5,1,4,6]=>[2,3,1,5,7,8,4,6]=>[[1,3,4,6,8],[2,5,7]]=>[2,3,2,1]
[6,1,7,5,4,8,3,2]=>[6,7,5,4,8,1,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[7,6,1,5,8,3,4,2]=>[7,1,3,6,5,8,4,2]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[8,6,7,5,1,3,2,4]=>[1,6,3,8,7,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[8,5,2,6,1,7,3,4]=>[2,5,8,1,6,7,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[6,5,2,8,1,4,3,7]=>[6,2,5,1,8,4,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[7,4,2,8,1,3,6,5]=>[7,2,4,8,1,3,6,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[3,6,8,4,1,2,7,5]=>[6,1,8,3,4,7,2,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[4,8,1,2,5,3,6,7]=>[4,1,2,5,8,3,6,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[8,1,2,4,3,5,6,7]=>[1,2,4,8,3,5,6,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[5,8,7,4,6,3,2,1]=>[5,8,4,7,6,3,2,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[4,8,7,6,3,5,2,1]=>[4,8,7,3,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[5,8,4,7,6,3,2,1]=>[8,5,4,7,6,3,2,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[3,8,7,6,2,5,4,1]=>[8,3,7,6,2,5,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[4,8,7,6,3,2,5,1]=>[4,8,7,3,6,2,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[3,8,7,6,5,2,1,4]=>[3,8,7,6,2,5,1,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[7,5,8,4,6,3,1,2]=>[1,5,7,4,8,6,3,2]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[7,6,8,2,5,1,4,3]=>[7,2,1,6,8,5,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[3,5,2,4,7,6,1,8]=>[7,3,2,5,4,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[3,5,4,7,2,6,1,8]=>[5,3,4,2,7,6,1,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[3,5,4,7,6,1,8,2]=>[7,5,3,4,6,8,1,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[3,5,7,4,6,2,1,8]=>[5,3,4,7,6,2,1,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[3,2,5,7,4,6,1,8]=>[5,3,2,4,7,6,1,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[3,5,2,7,6,4,1,8]=>[7,5,3,6,2,4,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[3,5,7,2,6,4,1,8]=>[5,3,7,2,6,4,1,8]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[5,3,7,6,1,2,8,4]=>[7,1,5,6,3,8,2,4]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[5,3,7,6,4,1,2,8]=>[1,7,5,6,3,4,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[3,5,7,2,6,1,4,8]=>[3,2,5,1,7,6,4,8]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[3,7,5,4,1,8,6,2]=>[7,8,5,3,4,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[3,7,5,1,4,8,2,6]=>[3,5,7,1,4,2,8,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[3,5,7,1,2,6,8,4]=>[5,1,3,7,2,6,8,4]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[3,5,7,2,1,6,8,4]=>[5,3,7,2,6,1,8,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[3,5,7,1,4,6,8,2]=>[3,5,1,4,7,6,8,2]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[3,5,7,1,4,2,6,8]=>[3,5,1,4,7,2,6,8]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[3,5,7,2,1,4,6,8]=>[3,2,5,1,7,4,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[3,5,2,7,1,4,6,8]=>[3,2,5,1,4,7,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[3,2,5,7,4,1,6,8]=>[5,3,2,4,7,1,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[3,5,2,7,4,1,6,8]=>[5,3,2,7,4,1,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[3,5,7,4,1,2,6,8]=>[1,5,3,4,7,2,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[3,5,4,7,2,1,6,8]=>[5,3,4,2,7,1,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[3,2,5,4,7,1,6,8]=>[5,3,2,4,1,7,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[3,5,4,7,1,2,8,6]=>[7,1,5,3,4,8,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[5,7,6,3,1,8,4,2]=>[7,5,6,8,3,4,1,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[3,5,7,4,1,2,8,6]=>[7,1,5,3,8,4,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,2,5,7,4,1,8,6]=>[7,5,3,2,8,4,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[3,5,7,1,4,2,8,6]=>[7,3,5,1,8,4,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[3,7,5,2,1,8,6,4]=>[7,8,5,3,6,2,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,7,2,5,1,8,6,4]=>[7,8,3,2,5,6,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[3,2,7,5,1,8,6,4]=>[7,8,5,3,2,6,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,7,2,5,1,8,4,6]=>[3,7,2,5,1,8,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[3,7,5,2,1,8,4,6]=>[5,7,3,2,8,1,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[6,1,2,5,7,4,8,3]=>[6,5,1,2,7,4,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[6,3,2,7,4,1,8,5]=>[6,7,8,3,2,4,1,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[2,1,7,5,8,4,6,3]=>[5,7,4,2,1,8,6,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[2,7,3,6,8,4,1,5]=>[2,7,3,6,4,8,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[2,1,8,3,4,7,5,6]=>[2,8,1,3,7,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[3,4,2,6,7,1,8,5]=>[6,3,4,2,7,8,1,5]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[2,3,4,5,6,7,1,9,8]=>[9,2,3,4,5,6,7,1,8]=>[[1,3,4,5,6,7,8],[2],[9]]=>[2,7]
[5,8,7,2,4,1,6,3]=>[5,2,8,4,7,6,1,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[3,8,6,4,1,7,5,2]=>[6,8,7,3,4,5,1,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[4,3,5,6,8,1,7,2]=>[4,3,5,6,8,1,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[3,2,8,7,6,1,5,4]=>[8,3,7,6,2,1,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[5,7,8,2,4,1,6,3]=>[5,2,4,7,8,6,1,3]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[5,8,2,4,1,6,3,7]=>[5,2,4,6,8,1,3,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[3,2,6,8,1,5,4,7]=>[6,3,2,1,5,8,4,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[8,3,2,5,6,1,4,7]=>[3,2,1,5,8,6,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[3,2,6,8,7,1,5,4]=>[8,3,6,2,1,7,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[8,7,3,2,5,6,1,4]=>[3,2,1,8,7,5,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[7,4,2,8,5,1,3,6]=>[2,4,7,8,1,5,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[3,2,8,5,7,1,4,6]=>[3,2,1,8,5,4,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[4,1,8,2,3,7,6,5]=>[8,7,1,4,2,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[2,1,8,5,3,4,7,6]=>[8,2,5,7,1,3,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[5,2,4,6,8,7,3,1]=>[8,5,2,4,6,7,3,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[5,7,4,8,6,1,3,2]=>[7,1,5,8,4,6,3,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[5,4,2,6,7,8,1,3]=>[2,5,4,1,6,7,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[7,4,1,8,3,5,6,2]=>[4,7,1,3,8,5,6,2]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[6,5,4,8,7,3,1,2]=>[1,8,6,5,4,7,3,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[8,7,1,3,2,5,6,4]=>[8,1,3,7,2,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[6,8,2,3,1,7,5,4]=>[6,8,2,7,3,5,1,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[8,4,7,3,2,6,1,5]=>[4,3,2,8,7,1,6,5]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[3,2,5,7,4,8,1,6]=>[5,3,2,4,7,1,8,6]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[8,2,7,3,4,1,5,6]=>[2,3,4,8,1,7,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[2,8,5,6,7,1,4,3]=>[5,2,1,8,6,7,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[1,5,2,7,8,6,4,3]=>[7,5,8,6,1,2,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[2,6,8,5,1,4,7,3]=>[6,2,5,1,8,4,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[3,5,1,6,8,7,2,4]=>[3,8,1,5,6,2,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[5,7,6,2,1,3,8,4]=>[7,2,5,6,8,1,3,4]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[4,1,7,5,2,6,8,3]=>[4,7,5,6,1,2,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[8,7,4,2,5,1,6,3]=>[4,8,2,7,5,6,1,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[5,2,4,8,6,7,1,3]=>[2,1,8,5,4,6,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[8,5,6,2,1,3,7,4]=>[5,2,6,8,7,1,3,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[4,2,1,5,6,7,8,3]=>[4,5,2,1,6,7,8,3]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[3,4,6,5,1,7,8,2]=>[6,3,4,5,7,1,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[7,3,5,2,4,6,1,8]=>[3,2,5,7,4,6,1,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[5,3,7,2,4,6,1,8]=>[3,5,2,4,7,6,1,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[3,7,5,2,4,6,1,8]=>[3,2,7,5,4,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[5,7,3,2,4,6,1,8]=>[3,5,2,7,4,6,1,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[1,5,3,2,4,7,6,8]=>[7,3,5,1,2,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[1,5,3,2,7,4,6,8]=>[5,3,7,1,2,4,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[5,7,3,2,1,4,6,8]=>[3,5,2,7,1,4,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[5,7,3,2,4,1,6,8]=>[3,5,2,7,4,1,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[3,7,2,5,4,1,6,8]=>[3,7,2,5,4,1,6,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[5,1,3,2,4,7,6,8]=>[7,1,5,3,2,4,6,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[5,1,3,2,7,4,6,8]=>[5,1,7,3,2,4,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[7,1,3,2,5,4,6,8]=>[1,7,5,3,2,4,6,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[1,7,3,2,5,4,6,8]=>[3,7,5,1,2,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[7,1,3,5,2,4,6,8]=>[3,1,2,5,7,4,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[5,1,3,7,2,4,6,8]=>[1,5,3,2,4,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[3,2,7,5,1,4,6,8]=>[3,2,7,1,5,4,6,8]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[3,7,5,1,2,4,6,8]=>[1,3,2,7,5,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[5,7,3,1,2,4,6,8]=>[1,3,5,2,7,4,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[1,5,3,7,2,4,6,8]=>[3,5,1,2,4,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[5,3,2,7,4,1,6,8]=>[5,3,7,2,4,1,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[5,3,2,4,7,1,6,8]=>[3,5,2,4,1,7,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[5,3,2,1,4,7,6,8]=>[7,3,5,2,1,4,6,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[5,3,2,1,7,4,6,8]=>[5,3,7,2,1,4,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[1,3,2,7,5,4,6,8]=>[5,7,3,1,2,4,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[1,3,7,2,5,4,6,8]=>[3,7,1,2,5,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[7,3,1,2,5,4,6,8]=>[1,7,3,5,2,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[5,3,1,2,7,4,6,8]=>[5,1,3,7,2,4,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[5,3,1,2,4,7,6,8]=>[7,1,3,5,2,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[3,2,5,1,4,7,6,8]=>[7,3,2,1,5,4,6,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[7,3,1,5,2,4,6,8]=>[3,1,5,7,2,4,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[1,3,7,5,2,4,6,8]=>[3,1,7,2,5,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[7,5,1,3,2,4,6,8]=>[1,3,7,5,2,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[5,7,1,3,2,4,6,8]=>[1,5,3,2,7,4,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[3,7,1,5,2,4,6,8]=>[3,1,2,7,5,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[3,7,1,2,5,4,6,8]=>[1,7,3,2,5,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[3,7,2,1,5,4,6,8]=>[3,7,2,5,1,4,6,8]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[3,2,1,7,5,4,6,8]=>[5,7,3,2,1,4,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[3,1,2,7,5,4,6,8]=>[5,7,1,3,2,4,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[3,1,7,2,5,4,6,8]=>[3,7,1,5,2,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[3,1,7,5,2,4,6,8]=>[3,1,7,5,2,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[7,1,5,3,2,4,6,8]=>[1,5,7,3,2,4,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[1,7,5,3,2,4,6,8]=>[3,5,7,1,2,4,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[1,8,7,4,2,6,5,3]=>[8,4,7,6,5,1,2,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[2,8,1,4,7,6,5,3]=>[8,7,4,2,1,6,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[1,8,7,4,3,2,6,5]=>[8,4,7,6,3,1,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[7,5,3,4,2,8,1,6]=>[3,5,7,4,2,1,8,6]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[8,5,3,6,2,4,7,1]=>[3,5,2,8,6,4,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[8,7,6,3,4,1,5,2]=>[3,4,8,7,6,5,1,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[1,7,2,3,6,8,5,4]=>[7,6,1,2,8,3,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[3,5,6,4,8,2,7,1]=>[5,3,6,4,2,8,7,1]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[3,5,1,4,8,2,7,6]=>[8,3,5,1,4,2,7,6]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[1,7,5,4,8,2,6,3]=>[5,7,4,8,1,2,6,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[3,7,5,1,6,4,8,2]=>[7,3,5,6,4,1,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[2,7,5,4,8,6,1,3]=>[2,7,8,5,1,4,6,3]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[3,5,2,4,8,1,6,7]=>[3,2,5,4,1,6,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[1,5,6,4,8,7,2,3]=>[1,8,5,6,2,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[3,6,4,1,8,7,2,5]=>[3,8,6,4,1,7,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[7,1,3,4,5,8,2,6]=>[3,1,4,5,7,2,8,6]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[7,6,1,4,5,3,8,2]=>[4,7,1,6,5,3,8,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[7,1,3,2,5,8,4,6]=>[1,7,5,3,2,4,8,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,6,4,2,8,5,3,7]=>[6,4,8,5,1,2,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[7,6,5,8,2,4,3,1]=>[7,2,6,5,8,4,3,1]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[7,1,5,6,3,8,4,2]=>[5,7,6,1,8,3,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[7,2,3,1,4,8,6,5]=>[7,8,2,3,6,1,4,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[7,2,3,5,4,8,6,1]=>[7,8,2,3,5,4,6,1]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[2,5,6,4,8,3,1,7]=>[5,6,2,4,3,8,1,7]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[3,5,6,1,4,7,8,2]=>[3,5,1,6,4,7,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[7,6,1,5,4,3,8,2]=>[7,6,5,1,4,3,8,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[1,6,4,5,8,3,2,7]=>[6,4,1,5,3,8,2,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[7,6,5,8,1,3,2,4]=>[1,7,3,6,5,8,2,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[3,4,6,8,7,2,1,5]=>[3,8,4,2,6,7,1,5]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[3,5,6,8,2,1,7,4]=>[5,3,6,8,2,7,1,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[4,2,5,6,3,1,8,7]=>[8,4,5,2,6,3,1,7]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[3,5,6,8,1,7,2,4]=>[3,1,5,6,8,2,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[4,1,3,5,2,7,8,6]=>[7,4,1,3,5,2,8,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[5,1,3,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[4,5,2,3,7,1,8,6]=>[7,2,4,5,3,8,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[4,2,6,1,3,7,5,8]=>[6,2,4,1,7,3,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[3,6,2,1,7,4,8,5]=>[6,7,3,8,2,1,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[3,6,2,7,1,5,8,4]=>[6,3,2,7,1,5,8,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[4,6,2,7,1,3,5,8]=>[2,4,1,6,3,7,5,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[5,1,4,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[3,6,1,7,2,5,8,4]=>[6,3,1,7,5,2,8,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[3,6,1,7,5,4,2,8]=>[6,7,3,5,4,1,2,8]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[5,4,1,3,2,6,7,8]=>[5,1,4,3,2,6,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[4,6,2,3,5,1,8,7]=>[8,2,4,3,6,5,1,7]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[8,2,6,7,1,4,5,3]=>[4,2,1,6,8,7,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[8,2,6,7,4,1,5,3]=>[6,2,4,8,7,5,1,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[4,6,2,3,5,8,1,7]=>[2,4,3,6,5,1,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[2,6,4,1,5,8,3,7]=>[6,2,4,5,1,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,8,4,5,7,2,3,1]=>[2,4,6,5,8,7,3,1]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,8,1,6,4,7,5,3]=>[8,6,2,7,1,4,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[2,6,1,4,8,5,3,7]=>[6,2,8,1,4,5,3,7]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[6,4,5,2,8,3,1,7]=>[4,6,5,2,8,3,1,7]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[4,2,3,1,6,8,5,7]=>[6,2,4,3,1,5,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[6,4,5,8,2,3,7,1]=>[2,4,6,5,3,8,7,1]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[8,6,7,2,4,5,1,3]=>[2,1,4,6,8,7,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[6,4,8,5,2,3,7,1]=>[2,6,4,8,5,3,7,1]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,4,1,8,3,6,7,5]=>[8,4,2,1,3,6,7,5]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[6,4,8,2,5,3,7,1]=>[4,6,2,8,5,3,7,1]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[4,6,8,2,3,5,7,1]=>[2,4,3,6,5,8,7,1]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[2,6,8,1,4,5,7,3]=>[4,2,1,6,5,8,7,3]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[2,1,6,8,4,5,7,3]=>[6,2,4,1,5,8,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[8,4,2,6,7,3,1,5]=>[4,2,8,3,6,7,1,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[1,6,7,5,3,4,8,2]=>[6,1,7,3,5,4,8,2]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[6,2,5,8,3,4,7,1]=>[2,6,3,5,4,8,7,1]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[2,5,3,7,1,8,4,6]=>[5,2,7,3,1,8,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[4,8,2,3,6,5,7,1]=>[2,8,4,3,6,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[5,8,1,3,6,4,7,2]=>[5,3,1,8,6,4,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[5,8,1,4,3,6,2,7]=>[5,4,1,3,8,6,2,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[4,2,6,5,1,7,3,8]=>[6,4,5,2,7,1,3,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[4,3,5,7,2,1,6,8]=>[4,3,5,2,7,1,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[3,4,7,6,8,1,2,5]=>[1,3,7,4,2,6,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[3,4,6,2,5,8,7,1]=>[8,3,4,2,6,5,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[4,2,5,1,6,8,3,7]=>[4,5,2,6,1,3,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[1,8,2,3,6,5,7,4]=>[8,1,6,2,5,3,7,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[4,3,8,6,5,7,1,2]=>[1,6,8,4,3,5,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[5,2,3,8,4,1,7,6]=>[8,5,2,3,7,4,1,6]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[7,5,3,4,8,2,1,6]=>[3,5,7,4,2,8,1,6]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[7,2,8,3,4,1,5,6]=>[2,3,4,7,8,1,5,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[4,6,2,7,3,1,5,8]=>[4,2,6,7,3,1,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[1,5,3,7,6,8,4,2]=>[7,5,6,3,1,8,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[1,6,3,7,8,2,4,5]=>[3,1,6,2,4,7,8,5]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[4,2,6,7,5,8,1,3]=>[2,6,4,1,7,5,8,3]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[3,2,4,7,8,5,1,6]=>[3,7,2,4,5,8,1,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[3,2,6,7,8,1,4,5]=>[3,2,1,4,6,7,8,5]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[5,1,8,3,6,4,7,2]=>[5,8,1,6,3,4,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[3,6,8,5,7,2,1,4]=>[3,6,2,5,8,7,1,4]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[5,1,3,8,7,6,4,2]=>[8,7,5,6,1,3,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[3,4,8,1,7,6,2,5]=>[3,8,4,1,7,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[6,7,4,8,5,1,3,2]=>[6,1,7,8,4,5,3,2]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[1,8,4,6,7,2,5,3]=>[4,8,1,2,6,7,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[4,3,6,8,7,1,5,2]=>[4,8,3,6,1,7,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[6,4,8,3,1,7,5,2]=>[6,8,4,3,7,5,1,2]=>[[1,2],[3,5],[4,7],[6,8]]=>[4,2,2]
[3,6,5,8,7,1,4,2]=>[3,8,6,5,1,7,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[5,7,4,8,2,6,3,1]=>[5,4,7,8,2,6,3,1]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[5,6,4,8,2,7,3,1]=>[5,6,4,8,2,7,3,1]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[6,4,8,1,3,7,5,2]=>[6,8,1,4,3,7,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[6,2,8,3,4,7,5,1]=>[6,2,8,3,7,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[4,2,5,3,1,7,8,6]=>[7,4,5,2,3,1,8,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[4,2,8,7,6,3,1,5]=>[4,8,7,2,6,3,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[6,3,1,8,7,5,2,4]=>[3,8,6,7,1,5,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[4,2,7,6,3,1,8,5]=>[7,6,4,8,2,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[7,6,4,2,1,8,3,5]=>[4,7,6,2,8,1,3,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[1,8,2,7,6,4,3,5]=>[1,8,7,6,4,2,3,5]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[8,4,2,5,7,6,3,1]=>[8,4,7,2,5,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[1,8,2,7,5,3,6,4]=>[8,1,7,5,6,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[7,5,2,6,3,1,8,4]=>[5,7,6,8,2,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[5,2,7,4,1,8,6,3]=>[7,5,8,4,2,6,1,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[8,7,4,1,5,2,6,3]=>[4,5,8,7,6,1,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[7,4,1,5,2,8,6,3]=>[7,4,8,5,6,1,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[7,6,3,1,4,2,8,5]=>[7,3,6,8,4,1,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[8,7,5,2,6,3,1,4]=>[2,5,8,7,6,3,1,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[7,5,2,1,3,8,6,4]=>[7,8,2,5,6,1,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[8,6,4,7,5,2,1,3]=>[2,6,8,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[6,4,8,7,5,2,1,3]=>[2,8,6,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[6,4,7,5,2,1,3,8]=>[2,6,7,4,5,1,3,8]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[6,3,1,4,7,5,2,8]=>[6,3,7,4,1,5,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[6,3,1,4,8,7,5,2]=>[8,6,3,7,4,1,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[8,6,3,1,4,7,5,2]=>[6,3,8,7,4,1,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[1,8,2,5,7,6,4,3]=>[8,7,5,1,2,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[1,8,2,6,4,7,5,3]=>[8,6,1,7,4,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[6,3,8,7,4,1,5,2]=>[3,8,6,7,4,5,1,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[7,4,1,6,3,5,2,8]=>[4,7,1,6,3,5,2,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[8,4,6,3,1,7,5,2]=>[6,4,8,7,3,5,1,2]=>[[1,2],[3,5],[4,7],[6,8]]=>[4,2,2]
[1,6,4,7,5,3,8,2]=>[6,7,4,5,1,3,8,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[8,6,3,5,2,7,4,1]=>[6,3,8,5,7,2,4,1]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[5,7,4,2,6,3,1,8]=>[5,4,7,6,2,3,1,8]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[4,2,6,3,5,7,1,8]=>[4,2,6,3,5,7,1,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[1,4,5,8,2,7,3,6]=>[4,5,1,2,8,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[2,4,5,8,1,6,7,3]=>[4,2,5,6,1,8,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[8,3,4,6,5,1,7,2]=>[3,8,4,6,5,7,1,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[6,1,3,7,4,2,5,8]=>[1,6,7,3,4,2,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[3,1,6,8,2,7,4,5]=>[3,6,1,8,2,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[8,2,6,1,5,4,7,3]=>[8,2,6,1,5,4,7,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[8,6,2,7,1,5,4,3]=>[6,8,2,7,5,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[5,7,4,2,8,1,6,3]=>[5,4,7,8,2,1,6,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[6,3,7,2,8,1,5,4]=>[6,3,7,2,8,1,5,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[7,5,2,8,6,1,4,3]=>[7,2,8,5,6,1,4,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[4,5,7,2,8,1,6,3]=>[4,5,7,2,8,1,6,3]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[4,5,6,8,3,1,7,2]=>[4,5,6,3,8,7,1,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[5,6,4,8,3,1,7,2]=>[5,6,4,3,8,7,1,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[4,8,1,6,2,3,7,5]=>[8,1,4,2,6,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[4,5,3,1,7,2,6,8]=>[4,5,3,1,7,2,6,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[4,7,3,1,2,6,5,8]=>[7,1,4,3,6,2,5,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[7,8,1,2,4,3,6,5]=>[7,1,8,2,4,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[8,4,1,6,2,3,7,5]=>[6,1,4,8,7,2,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[4,8,3,1,2,5,7,6]=>[8,1,4,3,2,7,5,6]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[6,1,3,4,2,8,5,7]=>[6,3,1,4,8,2,5,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[8,1,4,2,5,7,6,3]=>[8,4,1,7,5,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[8,1,4,3,5,7,6,2]=>[8,4,1,7,3,5,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[1,7,4,3,6,8,2,5]=>[4,3,7,1,2,6,8,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[2,8,4,6,3,7,5,1]=>[8,2,6,4,7,3,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[8,7,1,3,6,5,4,2]=>[8,7,3,1,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[1,8,5,7,4,2,6,3]=>[5,8,4,1,7,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[3,8,6,5,7,1,4,2]=>[3,6,8,5,1,7,4,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[4,8,6,2,7,1,5,3]=>[4,8,2,6,7,1,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[4,7,5,3,8,2,1,6]=>[4,7,5,3,2,8,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[1,6,5,8,3,4,2,7]=>[6,1,5,3,4,8,2,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[8,1,5,4,7,2,6,3]=>[8,1,5,4,7,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[2,1,4,7,5,8,3,6]=>[4,7,2,1,5,3,8,6]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[6,3,5,8,7,4,1,2]=>[1,8,6,3,5,7,4,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[1,4,8,7,3,5,6,2]=>[4,8,1,3,5,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[8,1,7,6,3,5,4,2]=>[8,7,1,6,3,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[4,7,6,8,5,3,1,2]=>[1,7,6,4,8,5,3,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[3,8,7,5,6,4,2,1]=>[8,3,7,5,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[2,8,7,6,4,5,3,1]=>[8,2,7,6,4,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[1,8,7,6,5,3,4,2]=>[8,1,7,6,5,3,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[4,6,7,2,5,3,1,8]=>[4,6,2,7,5,3,1,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[3,6,7,4,8,1,5,2]=>[3,6,4,7,8,1,5,2]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[3,8,5,7,6,1,4,2]=>[3,8,7,1,5,6,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[2,4,7,8,1,6,5,3]=>[7,4,2,8,1,6,5,3]=>[[1,3],[2,5],[4,6],[7,8]]=>[2,2,3,1]
[3,1,7,8,2,6,5,4]=>[7,8,3,1,6,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[6,1,3,8,2,7,5,4]=>[6,8,7,1,3,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[8,2,6,1,7,5,4,3]=>[6,8,7,2,5,4,1,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[6,8,3,7,1,5,4,2]=>[6,3,8,7,1,5,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[2,7,3,8,1,6,5,4]=>[7,8,2,6,3,1,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[2,6,8,4,1,7,5,3]=>[6,8,4,2,7,5,1,3]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[4,6,7,1,2,8,5,3]=>[6,4,1,7,8,5,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[3,6,1,8,2,7,5,4]=>[6,8,3,7,1,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[6,3,7,1,2,8,5,4]=>[6,7,1,8,3,5,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[6,2,1,8,3,7,5,4]=>[6,8,7,2,5,1,3,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[1,7,8,3,5,2,4,6]=>[1,3,7,2,5,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[8,5,3,7,2,4,6,1]=>[3,5,2,8,4,7,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[1,7,8,5,4,3,2,6]=>[5,7,8,4,1,3,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[2,6,8,7,4,3,5,1]=>[2,8,6,7,4,3,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,2,6,7,8,4,3,5]=>[1,6,7,2,4,8,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[2,1,7,8,4,5,3,6]=>[2,7,4,1,5,8,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[8,1,4,6,7,3,5,2]=>[4,3,1,6,8,7,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[3,5,8,6,7,4,1,2]=>[1,8,3,5,6,7,4,2]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[3,6,8,4,7,1,5,2]=>[3,6,4,8,1,7,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[4,7,1,3,6,8,2,5]=>[4,1,3,2,7,6,8,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[3,7,6,4,8,1,2,5]=>[1,3,7,6,4,2,8,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[3,1,7,5,6,8,2,4]=>[3,1,7,5,2,6,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[2,3,6,5,7,1,8,4]=>[6,5,2,3,7,8,1,4]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[1,3,6,7,4,2,8,5]=>[6,7,3,1,8,4,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[1,4,6,3,2,7,8,5]=>[6,4,7,1,3,2,8,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[1,7,8,2,6,4,5,3]=>[7,1,8,2,4,6,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[8,7,2,5,4,6,1,3]=>[2,1,8,5,7,4,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[8,7,2,5,3,1,6,4]=>[8,2,5,7,6,3,1,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[8,2,6,7,3,1,5,4]=>[6,2,8,3,7,5,1,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[8,7,6,1,4,5,3,2]=>[4,8,1,7,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[1,8,5,4,6,2,3,7]=>[1,5,4,8,2,6,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[3,8,5,4,6,1,2,7]=>[1,5,3,8,4,6,2,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[4,5,8,1,7,6,2,3]=>[1,8,4,5,7,2,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[1,6,4,3,7,8,5,2]=>[6,7,4,3,1,8,5,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[7,1,3,4,8,6,5,2]=>[7,8,3,1,6,4,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[7,2,3,4,8,6,5,1]=>[7,8,2,3,6,4,5,1]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[7,2,3,1,8,6,4,5]=>[2,7,8,3,6,1,4,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[7,3,8,6,1,4,2,5]=>[3,1,7,8,6,4,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[7,2,3,1,5,6,8,4]=>[7,2,3,1,5,6,8,4]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[7,2,3,8,1,6,5,4]=>[7,8,2,3,6,1,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[1,5,8,4,7,6,2,3]=>[1,8,5,4,2,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[7,6,1,3,5,8,2,4]=>[3,1,2,7,6,5,8,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[7,1,3,8,2,6,5,4]=>[7,8,1,6,3,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[7,6,1,8,5,4,2,3]=>[1,7,6,8,5,4,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[5,1,6,4,8,2,7,3]=>[5,6,4,8,1,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[5,3,7,4,8,2,6,1]=>[5,3,7,4,2,8,6,1]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[5,3,7,4,8,1,6,2]=>[5,3,7,4,8,1,6,2]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[4,3,7,1,5,2,8,6]=>[7,4,3,8,1,5,2,6]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[5,4,8,2,6,3,7,1]=>[5,4,2,8,6,3,7,1]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[5,4,8,1,6,3,7,2]=>[5,4,8,1,6,3,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[4,1,7,5,2,3,6,8]=>[1,4,7,5,2,3,6,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[4,8,2,7,3,5,1,6]=>[4,2,3,8,5,7,1,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[4,1,8,7,6,3,2,5]=>[4,8,7,3,6,1,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[4,7,2,8,3,5,1,6]=>[4,2,3,7,8,5,1,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[1,2,6,8,3,7,4,5]=>[1,6,8,2,3,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[6,8,3,2,1,4,7,5]=>[6,3,8,2,7,1,4,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[6,7,5,2,1,8,3,4]=>[2,6,7,5,8,1,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[7,5,8,4,3,1,6,2]=>[5,7,4,8,3,6,1,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[7,1,2,6,5,8,4,3]=>[7,6,5,1,2,8,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[4,2,7,3,8,5,6,1]=>[4,7,2,8,3,5,6,1]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[4,8,3,2,5,7,6,1]=>[8,4,3,2,7,5,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[2,6,8,5,3,4,7,1]=>[2,6,3,8,5,4,7,1]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[6,8,5,3,4,7,2,1]=>[3,6,5,8,4,7,2,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[8,2,6,7,5,1,4,3]=>[6,2,8,1,7,5,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[6,1,7,5,8,4,2,3]=>[1,6,7,5,8,2,4,3]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[8,4,7,6,2,3,5,1]=>[2,4,8,3,7,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[6,8,4,1,5,3,7,2]=>[4,6,5,8,3,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[6,8,3,4,7,2,5,1]=>[3,4,6,2,8,7,5,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[8,3,4,7,6,2,5,1]=>[3,8,4,2,7,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[1,8,3,5,2,6,7,4]=>[8,1,3,5,6,2,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[8,3,5,1,4,7,6,2]=>[8,3,5,1,7,4,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[6,8,3,5,1,4,7,2]=>[3,6,1,5,8,4,7,2]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[6,8,4,7,2,3,5,1]=>[2,4,6,3,8,7,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[1,7,2,6,5,8,4,3]=>[7,6,5,1,8,2,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[7,1,6,5,8,4,2,3]=>[1,7,6,5,2,8,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[7,5,3,4,8,2,6,1]=>[3,5,7,4,2,8,6,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[7,4,2,3,8,5,6,1]=>[2,7,4,8,3,5,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[6,8,4,7,1,3,5,2]=>[4,1,6,3,8,7,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[3,4,5,8,2,7,6,1]=>[8,3,4,5,2,7,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[6,8,3,4,5,2,7,1]=>[3,4,6,5,8,2,7,1]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[7,4,6,3,2,8,5,1]=>[7,4,6,8,3,2,5,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[8,2,1,3,5,6,4,7]=>[2,8,1,3,5,6,4,7]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[8,2,1,3,5,4,7,6]=>[8,2,7,1,5,3,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[8,1,3,4,2,6,5,7]=>[3,8,1,4,6,2,5,7]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[8,1,3,2,5,6,4,7]=>[1,8,3,5,2,6,4,7]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[8,1,2,4,3,6,7,5]=>[8,1,2,6,4,3,7,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[6,5,3,8,4,2,7,1]=>[6,5,3,8,4,2,7,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[6,7,8,4,1,3,5,2]=>[4,1,6,7,8,3,5,2]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[3,1,6,8,4,7,5,2]=>[6,8,3,4,1,7,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[2,4,7,5,8,6,1,3]=>[2,7,8,1,4,5,6,3]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[2,4,6,7,8,1,5,3]=>[4,2,6,1,7,8,5,3]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[2,4,7,6,1,8,5,3]=>[7,6,4,2,8,5,1,3]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[2,4,6,8,1,7,5,3]=>[6,4,2,8,7,1,5,3]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[7,3,6,8,2,5,1,4]=>[3,2,1,7,6,8,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[5,7,3,8,6,2,1,4]=>[3,7,5,8,2,6,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[3,4,7,2,8,5,1,6]=>[3,7,4,2,8,5,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[3,5,2,7,8,1,4,6]=>[3,2,5,1,4,7,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[3,2,6,8,1,7,4,5]=>[3,6,2,1,8,4,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[3,5,2,8,1,4,7,6]=>[8,3,2,5,1,4,7,6]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[3,6,4,2,5,8,1,7]=>[3,6,4,2,5,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[4,6,2,3,5,8,7,1]=>[8,2,4,3,6,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[3,6,4,2,7,5,1,8]=>[6,7,3,4,2,5,1,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[4,3,6,2,7,1,5,8]=>[4,3,2,6,1,7,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[3,6,5,2,1,7,4,8]=>[6,5,3,7,2,1,4,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[5,8,4,2,3,6,7,1]=>[2,5,4,3,8,6,7,1]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[6,8,4,2,3,7,5,1]=>[6,2,8,4,7,3,5,1]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[5,8,3,7,2,1,6,4]=>[5,8,3,2,7,6,1,4]=>[[1,4],[2,6],[3,7],[5,8]]=>[3,2,3]
[2,8,5,7,4,1,6,3]=>[8,2,5,4,7,6,1,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[2,8,6,5,4,1,7,3]=>[6,8,5,4,2,7,1,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[2,5,6,4,1,8,7,3]=>[8,5,6,2,4,7,1,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[3,8,6,2,5,7,1,4]=>[3,2,1,8,6,5,7,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[2,5,6,4,7,1,8,3]=>[5,6,2,4,7,8,1,3]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[5,7,6,3,2,8,1,4]=>[3,7,5,6,2,1,8,4]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[6,4,7,3,8,2,1,5]=>[4,6,3,7,2,8,1,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[3,6,4,2,7,1,8,5]=>[6,7,3,4,2,8,1,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[6,7,4,3,2,1,8,5]=>[6,7,8,4,3,2,1,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[8,4,3,6,2,1,7,5]=>[8,4,3,6,7,2,1,5]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[8,4,3,7,2,1,5,6]=>[4,3,2,8,1,7,5,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[5,1,2,7,3,6,8,4]=>[5,7,1,2,6,3,8,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[5,6,3,4,8,7,2,1]=>[8,3,5,6,4,7,2,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[6,5,3,4,8,7,2,1]=>[8,3,6,5,4,7,2,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[3,3,2]
[4,1,2,7,3,6,8,5]=>[7,4,1,2,6,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[5,1,2,8,3,6,4,7]=>[5,1,8,2,6,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[7,5,3,8,4,6,2,1]=>[5,7,3,8,4,6,2,1]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[8,5,3,7,4,6,2,1]=>[5,3,8,7,4,6,2,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[1,6,7,2,4,5,3,8]=>[6,1,2,4,7,5,3,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[5,8,1,2,3,4,7,6]=>[8,1,2,3,5,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[7,1,8,2,3,5,4,6]=>[1,7,2,5,8,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[7,1,2,8,3,6,4,5]=>[1,7,2,8,3,6,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[6,1,7,2,3,5,8,4]=>[6,1,2,7,5,3,8,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[4,3,8,7,5,6,2,1]=>[4,8,7,3,5,6,2,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[1,8,2,7,4,6,5,3]=>[8,7,1,6,2,4,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[1,8,6,2,4,5,7,3]=>[6,1,2,8,4,5,7,3]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[1,7,6,2,4,5,8,3]=>[7,1,2,6,4,5,8,3]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[8,1,6,2,3,5,7,4]=>[8,1,2,3,6,5,7,4]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[8,1,7,2,3,5,6,4]=>[8,1,2,3,5,7,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[8,1,7,2,3,5,4,6]=>[1,8,2,3,7,5,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[8,7,1,2,3,4,6,5]=>[8,1,2,3,4,7,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[8,6,1,2,3,4,7,5]=>[6,1,2,3,8,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[8,5,1,2,3,4,7,6]=>[8,1,2,3,5,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,1,6,2,3,5,4,7]=>[1,8,2,6,3,5,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[1,7,6,2,4,5,3,8]=>[7,1,2,6,4,5,3,8]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[7,1,6,2,3,5,4,8]=>[7,1,2,6,3,5,4,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[1,8,7,4,6,3,5,2]=>[8,1,4,7,3,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[4,7,2,6,1,8,5,3]=>[7,4,6,2,8,5,1,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[6,7,2,5,1,4,8,3]=>[6,2,1,7,5,4,8,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[6,3,7,5,1,4,8,2]=>[3,6,7,5,1,4,8,2]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[1,3,4,8,7,5,6,2]=>[8,1,7,3,4,5,6,2]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[2,3,4,6,8,5,7,1]=>[6,2,3,4,5,8,7,1]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[2,3,5,7,4,8,6,1]=>[7,5,2,3,8,4,6,1]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[2,4,6,3,7,8,5,1]=>[6,4,2,7,3,8,5,1]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[2,5,7,1,8,6,3,4]=>[2,7,5,1,8,6,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[8,1,3,5,2,7,4,6]=>[5,3,1,2,8,7,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[1,4,7,8,3,5,6,2]=>[4,3,1,5,7,8,6,2]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[2,6,7,1,8,4,5,3]=>[6,2,7,1,8,4,5,3]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[2,4,8,1,5,3,6,7]=>[4,2,1,5,8,3,6,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[3,8,4,2,6,7,1,5]=>[3,4,2,8,1,6,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[2,4,1,8,5,6,3,7]=>[2,8,4,5,1,6,3,7]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[1,6,2,7,8,5,3,4]=>[1,6,7,8,2,3,5,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[4,5,1,6,7,3,8,2]=>[4,5,6,7,1,3,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[2,8,4,1,7,5,3,6]=>[2,8,7,4,5,1,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[8,5,3,1,7,4,2,6]=>[5,3,8,7,4,1,2,6]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[4,2,8,7,1,5,3,6]=>[4,2,8,7,1,5,3,6]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[5,7,3,2,6,8,1,4]=>[3,5,2,7,1,6,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[6,7,1,2,3,5,8,4]=>[6,1,2,3,7,5,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[6,1,7,2,3,8,5,4]=>[6,7,1,8,5,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[3,2,8,6,1,4,5,7]=>[3,2,1,8,4,6,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[5,1,8,2,3,6,4,7]=>[5,1,2,8,6,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[8,3,1,4,5,7,2,6]=>[3,4,1,5,8,2,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[1,7,8,9,2,3,4,5,6]=>[1,2,3,4,7,5,8,9,6]=>[[1,2,3,4,5,6,9],[7,8]]=>[7,2]
[8,2,4,5,7,3,1,6]=>[4,2,5,3,8,7,1,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[2,6,3,8,7,5,4,1]=>[8,6,7,5,2,3,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[8,2,3,7,5,4,1,6]=>[2,8,7,3,5,4,1,6]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[8,2,6,3,5,4,1,7]=>[2,8,6,3,5,4,1,7]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[8,3,2,6,5,4,1,7]=>[6,8,3,5,2,4,1,7]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[8,3,2,5,7,4,1,6]=>[3,8,2,5,4,7,1,6]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[8,3,1,7,5,4,2,6]=>[3,8,7,5,4,1,2,6]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[8,2,7,4,1,5,3,6]=>[2,8,4,5,7,1,3,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[3,8,1,5,7,6,4,2]=>[8,5,3,7,1,6,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[3,4,8,2,7,6,5,1]=>[8,7,3,4,2,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[3,4,8,7,1,6,5,2]=>[8,3,7,4,6,1,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[4,1,8,5,7,6,3,2]=>[8,4,7,5,6,1,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[8,2,7,1,4,5,6,3]=>[4,2,1,5,8,7,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[8,3,1,7,2,6,5,4]=>[8,7,3,1,6,5,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[3,8,2,4,7,6,5,1]=>[8,7,3,2,4,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[2,8,3,7,4,6,5,1]=>[8,2,7,3,6,4,5,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[8,2,3,7,1,6,5,4]=>[8,7,2,3,1,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[8,2,7,1,3,6,5,4]=>[8,7,2,1,3,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[8,1,7,5,2,4,3,6]=>[1,8,5,7,2,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[2,4,8,5,7,6,3,1]=>[8,7,2,4,5,6,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[8,2,7,4,3,1,5,6]=>[2,4,8,7,3,1,5,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[8,2,7,3,1,5,6,4]=>[8,2,3,7,1,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[8,2,1,5,7,6,4,3]=>[8,7,5,2,1,6,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[6,2,1,8,7,5,4,3]=>[8,6,7,5,4,2,1,3]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[8,1,5,2,7,6,4,3]=>[8,7,5,1,6,4,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[8,1,7,2,4,6,5,3]=>[8,7,1,2,4,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[8,2,4,1,7,6,5,3]=>[8,7,4,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[4,2,8,3,7,6,5,1]=>[8,7,4,2,6,3,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[4,8,2,1,7,6,5,3]=>[8,7,4,6,2,5,1,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[5,1,8,7,2,6,4,3]=>[5,8,7,6,1,4,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[5,8,1,3,7,6,2,4]=>[1,8,5,3,2,7,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[8,2,5,4,1,7,6,3]=>[8,7,2,5,4,6,1,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[5,1,4,8,7,6,3,2]=>[8,7,5,4,1,6,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[8,1,4,3,7,6,5,2]=>[8,7,6,1,4,3,5,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[4,3,8,1,7,6,5,2]=>[8,7,4,3,6,1,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[5,8,6,3,2,1,7,4]=>[5,8,6,7,3,2,1,4]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[5,1,7,4,3,2,6,8]=>[5,4,7,3,1,2,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[5,7,6,3,2,4,1,8]=>[3,7,5,6,2,4,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[5,7,1,3,2,8,6,4]=>[7,5,8,1,6,3,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[5,8,1,3,2,7,4,6]=>[5,1,8,3,2,7,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[8,5,1,3,2,4,6,7]=>[1,3,5,8,2,4,6,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[6,5,1,3,7,2,4,8]=>[1,6,3,5,2,7,4,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[7,5,1,3,2,4,8,6]=>[7,1,8,3,5,2,4,6]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[6,7,1,2,5,4,8,3]=>[6,7,1,2,5,4,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[3,2,8,1,4,7,5,6]=>[3,8,2,1,4,5,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[8,4,3,1,2,7,5,6]=>[1,8,4,3,7,2,5,6]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[6,8,1,2,5,7,4,3]=>[6,5,1,2,8,7,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[7,1,2,3,8,6,4,5]=>[1,7,8,2,3,6,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[8,1,6,4,2,3,5,7]=>[1,2,6,8,4,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[4,1,3,8,2,5,7,6]=>[8,4,1,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[6,8,5,3,4,1,7,2]=>[3,6,5,8,4,7,1,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[1,8,6,5,2,3,7,4]=>[6,1,8,5,7,2,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[8,5,7,4,1,3,6,2]=>[5,1,4,8,7,3,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[1,7,8,2,3,5,6,4]=>[7,1,2,3,5,8,6,4]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[7,6,8,1,3,4,2,5]=>[3,1,4,7,6,8,2,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[7,4,1,2,6,8,3,5]=>[4,1,2,7,6,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[7,3,5,4,2,1,8,6]=>[7,8,3,5,4,2,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[7,4,3,2,6,1,8,5]=>[7,4,6,3,2,8,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[7,3,2,8,5,6,1,4]=>[3,2,7,8,1,5,6,4]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[7,2,5,4,1,6,3,8]=>[7,2,5,4,6,1,3,8]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[1,5,2,4,7,8,3,6]=>[5,1,4,2,3,7,8,6]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[3,5,1,2,8,6,7,4]=>[8,1,5,3,6,2,7,4]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[2,7,4,3,6,8,5,1]=>[7,4,6,2,3,8,5,1]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[1,7,4,3,6,8,5,2]=>[7,4,6,3,1,8,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[3,7,1,8,2,5,6,4]=>[7,3,1,2,8,5,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[4,7,6,5,2,3,8,1]=>[2,7,6,4,5,3,8,1]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[6,3,4,2,8,1,5,7]=>[3,4,6,2,1,5,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[6,7,3,2,1,8,5,4]=>[6,7,8,5,3,2,1,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[6,5,8,1,7,3,4,2]=>[6,1,5,8,3,7,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[6,5,8,2,3,7,4,1]=>[6,2,5,8,3,7,4,1]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[5,7,3,6,8,1,4,2]=>[3,5,7,1,6,8,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[4,1,2,8,5,6,3,7]=>[1,8,4,5,2,6,3,7]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[4,1,2,8,5,3,6,7]=>[4,1,8,5,2,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[4,7,1,6,8,2,5,3]=>[4,7,1,6,2,8,5,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[3,5,8,2,6,1,7,4]=>[5,3,6,2,8,7,1,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[4,5,1,7,3,6,8,2]=>[4,5,7,1,3,6,8,2]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[4,3,2,8,5,1,6,7]=>[4,3,8,2,5,1,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[3,7,6,5,8,4,1,2]=>[1,7,6,5,3,8,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[3,7,6,2,8,4,5,1]=>[3,7,6,2,8,4,5,1]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[4,3,6,8,5,1,2,7]=>[1,6,4,3,5,8,2,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[4,7,2,6,8,5,1,3]=>[2,7,4,1,6,8,5,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[6,2,7,5,8,4,3,1]=>[6,7,5,8,2,4,3,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[7,1,5,4,3,6,2,8]=>[5,7,4,1,3,6,2,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[6,7,8,4,2,5,3,1]=>[4,6,7,8,5,2,3,1]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[6,1,2,5,7,8,4,3]=>[6,5,1,2,7,8,4,3]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[3,7,8,6,2,5,1,4]=>[3,2,7,1,8,6,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[4,1,2,7,8,5,3,6]=>[4,7,1,2,8,5,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[2,7,6,5,4,1,8,3]=>[7,6,5,4,2,8,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[3,8,5,6,4,2,7,1]=>[3,8,5,6,4,2,7,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[3,2,6,4,7,8,5,1]=>[6,7,3,2,4,8,5,1]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[4,2,7,5,8,3,1,6]=>[4,7,5,2,3,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[6,1,8,4,2,7,5,3]=>[6,8,4,7,5,1,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[5,2,1,4,7,8,3,6]=>[5,2,4,1,3,7,8,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[3,7,8,6,1,2,4,5]=>[1,3,2,7,4,8,6,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[2,7,6,8,5,1,3,4]=>[2,1,7,6,3,8,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[2,7,8,6,1,5,4,3]=>[7,8,2,6,1,5,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[4,7,6,8,2,1,3,5]=>[2,4,7,1,6,8,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[4,7,8,6,1,3,2,5]=>[1,7,4,3,8,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[5,6,1,8,3,7,4,2]=>[5,6,8,7,1,3,4,2]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[2,8,4,1,5,7,3,6]=>[4,2,5,8,1,3,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[1,5,8,6,4,2,3,7]=>[1,5,8,6,2,4,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[2,8,5,7,4,3,6,1]=>[5,8,2,4,7,3,6,1]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[2,8,4,6,3,1,7,5]=>[8,2,6,4,7,3,1,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[2,8,6,5,1,4,7,3]=>[6,2,8,5,1,4,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[2,8,4,3,1,6,7,5]=>[8,4,2,6,3,1,7,5]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[1,2,8,7,4,3,5,6]=>[4,1,8,7,2,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[1,4,6,2,5,7,8,3]=>[4,6,1,2,5,7,8,3]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[2,5,8,6,4,1,7,3]=>[5,8,6,2,4,7,1,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[3,2,7,4,1,8,5,6]=>[3,7,8,2,4,1,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[1,6,2,3,5,8,7,4]=>[8,6,1,2,5,3,7,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,7,2,3,6,5,8,4]=>[7,6,1,2,5,3,8,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[4,7,2,3,1,6,8,5]=>[7,2,4,3,6,1,8,5]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[7,3,5,1,4,8,2,6]=>[3,1,7,5,4,2,8,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[7,2,5,1,4,8,6,3]=>[7,8,2,1,5,4,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[3,4,6,5,1,2,7,8]=>[1,6,3,4,5,2,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>[3,3,2]
[1,2,7,4,5,8,6,3]=>[7,8,1,4,2,5,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[1,5,3,6,8,4,2,7]=>[5,6,3,1,4,8,2,7]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[7,5,4,3,8,6,2,1]=>[7,8,5,4,3,6,2,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[4,3,8,2,6,7,5,1]=>[6,4,3,2,8,7,5,1]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[4,3,8,2,5,7,1,6]=>[4,3,2,5,1,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[5,7,4,3,6,1,2,8]=>[1,5,4,7,3,6,2,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[1,4,3,8,7,6,2,5]=>[4,8,7,3,1,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[4,1,8,5,6,3,7,2]=>[4,5,8,6,1,3,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[1,5,2,3,8,6,4,7]=>[5,8,1,6,2,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[6,7,2,3,5,1,4,8]=>[2,3,1,6,7,5,4,8]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[5,2,7,8,6,1,3,4]=>[2,1,7,5,3,8,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[7,5,2,3,8,4,1,6]=>[2,7,5,3,8,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[4,5,1,7,6,3,8,2]=>[7,4,5,6,3,1,8,2]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[7,8,2,4,1,6,3,5]=>[4,2,1,7,8,6,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[1,8,7,5,2,3,6,4]=>[5,1,8,7,6,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[8,1,7,5,2,3,4,6]=>[1,2,3,8,7,5,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[8,6,3,1,4,2,5,7]=>[3,4,6,8,1,2,5,7]=>[[1,2,5,7],[3,4,6,8]]=>[3,3,2]
[4,5,1,6,2,8,7,3]=>[8,4,5,6,7,1,2,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[4,8,3,6,1,7,2,5]=>[4,3,1,6,8,7,2,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[8,5,6,1,7,4,3,2]=>[5,6,8,7,4,3,1,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[9,2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,9,8,1]=>[[1,3,4,5,6,7,8],[2],[9]]=>[2,7]
[4,2,3,1,5,6,7,8,9]=>[2,4,3,1,5,6,7,8,9]=>[[1,3,5,6,7,8,9],[2],[4]]=>[2,2,5]
[1,2,4,5,3,6,7,8,9]=>[4,1,2,5,3,6,7,8,9]=>[[1,2,3,6,7,8,9],[4,5]]=>[4,5]
[1,2,4,3,5,6,7,8,9,10]=>[4,1,2,3,5,6,7,8,9,10]=>[[1,2,3,5,6,7,8,9,10],[4]]=>[4,6]
[1,2,4,6,8,10,9,7,5,3]=>[10,8,6,4,1,2,9,7,5,3]=>[[1,2,3],[4,5],[6,7],[8,9],[10]]=>[4,2,2,2]
[2,1,7,5,8,6,3,4]=>[2,7,8,5,1,3,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[3,8,7,4,6,5,1,2]=>[1,8,3,7,6,4,5,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[4,6,7,8,5,2,3,1]=>[2,6,4,7,8,5,3,1]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[4,5,3,8,2,7,6,1]=>[8,4,5,3,2,7,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[6,4,7,2,5,8,3,1]=>[4,6,7,2,5,8,3,1]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[6,3,8,7,5,1,4,2]=>[3,8,6,7,5,1,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[6,8,4,3,5,7,1,2]=>[1,4,6,3,8,5,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[1,8,2,5,4,3,6,7]=>[5,1,8,4,2,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[5,2,4,1,7,8,3,6]=>[5,2,4,1,7,3,8,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[4,2,5,1,7,8,3,6]=>[4,5,2,1,7,3,8,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[2,5,4,1,3,8,6,7]=>[2,8,5,1,4,3,6,7]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[5,1,8,2,4,3,6,7]=>[5,1,4,2,8,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[4,8,2,1,5,3,6,7]=>[4,2,5,8,1,3,6,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[1,5,4,8,2,3,6,7]=>[1,5,4,2,3,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[4,8,3,1,6,7,2,5]=>[4,3,1,8,2,6,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[1,4,8,2,7,3,6,5]=>[8,4,1,7,2,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[1,8,7,2,5,3,6,4]=>[8,1,5,7,6,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[3,6,2,4,8,7,1,5]=>[3,8,2,4,6,1,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[4,7,3,2,6,8,1,5]=>[4,3,2,7,1,6,8,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[7,3,4,6,8,1,2,5]=>[1,3,4,2,7,6,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[3,6,7,2,5,8,1,4]=>[3,2,1,6,7,5,8,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[1,5,6,8,3,7,2,4]=>[1,5,6,3,2,8,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[8,6,2,7,1,4,3,5]=>[2,6,1,8,7,4,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[6,1,5,8,3,4,7,2]=>[6,1,3,5,4,8,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[5,6,8,1,3,4,7,2]=>[3,1,5,6,4,8,7,2]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[2,8,5,6,3,4,7,1]=>[2,3,8,5,6,4,7,1]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[8,1,6,3,5,4,7,2]=>[8,1,6,3,5,4,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[1,8,7,3,6,4,5,2]=>[8,1,3,7,6,4,5,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[7,4,2,8,3,6,5,1]=>[7,4,8,2,6,3,5,1]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[2,8,1,4,7,3,6,5]=>[8,4,2,1,3,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[4,2,8,6,1,5,7,3]=>[4,8,2,6,1,5,7,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[8,2,6,1,4,5,7,3]=>[4,2,1,6,8,5,7,3]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[3,1,7,8,5,4,6,2]=>[3,7,8,5,1,4,6,2]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[6,2,4,7,3,8,1,5]=>[2,6,4,3,7,1,8,5]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[8,3,6,7,4,1,5,2]=>[3,6,4,8,7,5,1,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[6,1,8,3,7,4,2,5]=>[1,6,8,7,3,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[1,5,8,3,6,7,2,4]=>[3,5,1,2,6,8,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[7,6,2,8,1,5,3,4]=>[2,7,1,6,8,3,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[6,7,2,8,1,3,4,5]=>[2,1,3,6,7,4,8,5]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[5,1,6,8,7,2,3,4]=>[1,2,8,5,6,3,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[7,4,6,8,5,3,1,2]=>[1,7,4,6,8,5,3,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[5,1,6,7,3,8,2,4]=>[1,5,6,7,3,2,8,4]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[1,6,8,3,2,5,4,7]=>[6,1,5,8,3,2,4,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[6,1,5,2,3,7,4,8]=>[6,1,5,2,7,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[7,8,5,1,3,2,6,4]=>[7,1,5,8,6,3,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[6,1,7,5,4,3,2,8]=>[6,7,5,4,3,1,2,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[2,6,8,1,5,4,7,3]=>[6,5,2,1,8,4,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[2,3,7,6,5,1,8,4]=>[7,6,5,2,3,8,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[7,5,2,1,6,4,3,8]=>[5,7,6,4,2,1,3,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[5,7,2,4,3,1,8,6]=>[7,5,2,8,4,3,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[6,7,1,3,4,2,8,5]=>[6,3,1,7,8,4,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[6,1,5,8,3,2,7,4]=>[6,5,8,1,3,7,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[3,1,2,4,8,5,7,6]=>[8,1,7,3,2,4,5,6]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[1,4,5,8,7,3,2,6]=>[4,8,5,1,3,7,2,6]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[2,7,1,5,3,8,4,6]=>[5,7,2,1,3,8,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[7,2,5,4,8,1,6,3]=>[7,2,5,4,8,1,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[1,7,2,5,3,8,6,4]=>[7,8,5,1,6,2,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[7,2,1,4,3,8,5,6]=>[2,7,8,4,1,3,5,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[5,4,2,1,3,8,6,7]=>[2,8,5,4,1,3,6,7]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[6,1,4,2,3,8,7,5]=>[8,6,1,7,2,4,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[7,1,6,5,3,2,8,4]=>[7,6,5,8,1,3,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[7,2,3,8,6,1,5,4]=>[7,2,8,3,6,1,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[6,2,4,8,1,3,7,5]=>[6,2,1,8,4,3,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[7,8,3,2,6,1,5,4]=>[7,3,2,8,6,1,5,4]=>[[1,4],[2,5],[3,6],[7,8]]=>[3,4,1]
[6,3,4,8,1,5,2,7]=>[3,4,6,1,8,5,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[5,3,8,4,1,2,6,7]=>[1,5,3,4,8,2,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[5,2,8,4,1,6,3,7]=>[5,2,8,4,6,1,3,7]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[7,6,5,2,1,8,4,3]=>[7,6,5,8,4,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[2,7,5,1,8,3,6,4]=>[5,7,8,2,1,6,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[5,1,8,7,4,3,6,2]=>[5,8,4,7,3,1,6,2]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,3]
[4,2,7,6,3,5,8,1]=>[4,7,2,6,3,5,8,1]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[8,4,7,6,3,5,1,2]=>[1,4,8,3,7,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[6,1,8,5,3,7,2,4]=>[3,6,5,8,1,2,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[5,6,2,7,4,3,1,8]=>[5,6,7,4,2,3,1,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[8,6,2,7,4,1,3,5]=>[2,1,6,8,7,4,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[3,4,7,2,5,6,1,8]=>[3,4,2,5,7,6,1,8]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[3,7,8,2,6,1,4,5]=>[3,2,1,4,7,8,6,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[6,8,4,7,3,1,5,2]=>[4,6,3,8,7,5,1,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[3,7,8,2,6,1,5,4]=>[7,3,2,1,8,6,5,4]=>[[1,4],[2,5],[3,6],[7,8]]=>[3,4,1]
[4,8,6,2,1,7,5,3]=>[8,4,6,7,5,2,1,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[4,8,6,5,1,2,7,3]=>[6,1,8,4,5,7,2,3]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[3,4,5,1,8,6,2,7]=>[3,8,4,5,6,1,2,7]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[3,4,5,1,7,8,6,2]=>[7,3,4,5,8,1,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[3,4,5,1,7,6,8,2]=>[7,3,4,5,6,1,8,2]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[3,8,7,6,5,1,2,4]=>[1,3,8,7,6,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[8,4,6,7,1,2,5,3]=>[4,1,6,2,8,7,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[5,7,2,6,1,8,4,3]=>[5,7,6,2,8,4,1,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[5,8,2,6,1,4,7,3]=>[5,2,6,1,8,4,7,3]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[7,4,6,8,1,3,2,5]=>[4,1,3,7,6,8,2,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[7,4,6,8,1,3,5,2]=>[4,1,3,7,6,8,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[3,8,7,5,6,1,4,2]=>[3,8,1,7,5,6,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[6,8,4,7,2,1,5,3]=>[4,6,8,2,7,5,1,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[7,4,6,5,1,3,8,2]=>[7,1,4,6,5,3,8,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[8,5,4,6,1,3,2,7]=>[5,1,4,8,6,3,2,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[3,2,5,6,1,4,8,7]=>[8,3,2,1,5,6,4,7]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[8,5,4,6,1,3,7,2]=>[5,1,4,8,6,3,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[2,1,5,7,4,3,8,6]=>[7,5,8,2,1,4,3,6]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[4,1,8,7,5,6,2,3]=>[1,4,8,7,5,2,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[6,4,1,3,8,7,5,2]=>[8,6,7,1,4,3,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[2,1,7,4,6,8,3,5]=>[2,7,4,1,3,6,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[8,6,4,2,7,3,5,1]=>[4,6,8,2,7,3,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[3,5,8,1,7,6,2,4]=>[3,8,1,5,7,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[7,2,4,8,6,1,5,3]=>[7,2,4,8,6,1,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[2,3,4,5,6,7,9,1,10,8]=>[9,2,3,4,5,6,7,10,1,8]=>[[1,3,4,5,6,7,8],[2,10],[9]]=>[2,7,1]
[3,2,4,5,6,7,8,1,9]=>[3,2,4,5,6,7,8,1,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,6]
[6,3,7,2,5,4,8,1]=>[6,3,7,2,5,4,8,1]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[5,7,2,6,3,4,8,1]=>[2,5,7,3,6,4,8,1]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[3,7,5,4,6,2,8,1]=>[5,7,3,4,6,2,8,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[8,2,5,4,6,3,1,7]=>[2,8,5,4,6,3,1,7]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[3,7,5,4,2,8,6,1]=>[7,8,5,3,4,2,6,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[6,8,3,2,1,7,4,5]=>[3,6,8,2,7,1,4,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[4,8,5,1,7,3,2,6]=>[4,5,8,3,7,1,2,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[4,8,1,7,5,3,2,6]=>[4,8,5,7,1,3,2,6]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[3,7,6,2,8,1,5,4]=>[7,3,6,2,8,1,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[5,4,3,7,2,8,6,1]=>[7,5,4,3,8,2,6,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[6,3,2,5,8,7,4,1]=>[8,6,3,5,2,7,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[7,3,5,2,8,1,6,4]=>[5,3,7,8,2,1,6,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[8,3,5,2,6,4,1,7]=>[5,3,6,8,2,4,1,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[3,6,5,2,8,7,4,1]=>[8,6,5,3,7,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[3,6,5,7,2,8,4,1]=>[6,5,3,7,8,2,4,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[4,6,5,3,8,2,1,7]=>[6,4,5,3,2,8,1,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[6,3,8,4,1,7,2,5]=>[3,6,4,8,1,7,2,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[3,2,8,7,6,4,1,5]=>[3,8,7,6,2,4,1,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[5,4,2,8,7,3,1,6]=>[5,8,4,2,7,3,1,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[2,8,7,5,3,1,4,6]=>[2,5,8,7,3,1,4,6]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[2,5,6,3,1,4,8,7]=>[8,2,5,3,6,1,4,7]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[2,4,7,8,5,3,1,6]=>[4,7,2,5,8,3,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[6,3,4,5,1,2,8,7]=>[8,1,3,4,6,5,2,7]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[6,5,8,7,3,2,4,1]=>[3,8,6,5,7,2,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[8,3,6,4,7,5,1,2]=>[1,8,3,6,7,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[8,3,1,6,5,7,4,2]=>[8,3,6,5,7,1,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[8,5,6,7,3,1,4,2]=>[3,5,6,8,7,4,1,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[8,7,5,3,2,6,4,1]=>[5,8,7,6,3,2,4,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[4,7,8,5,3,1,6,2]=>[4,7,5,8,3,6,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[8,3,4,6,5,7,1,2]=>[1,3,8,4,6,5,7,2]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[8,5,1,6,4,3,7,2]=>[5,6,8,4,3,1,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[6,1,4,3,7,8,2,5]=>[4,6,1,3,2,7,8,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[7,3,6,5,8,1,2,4]=>[1,3,7,2,6,5,8,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[7,1,2,4,6,8,3,5]=>[4,1,2,3,7,6,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[3,7,1,2,4,6,8,5]=>[7,1,3,2,4,6,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[2,7,3,1,4,6,8,5]=>[7,2,3,6,1,4,8,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[2,8,3,1,6,5,7,4]=>[8,2,6,5,3,1,7,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[2,7,8,5,3,1,6,4]=>[7,2,8,5,6,3,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[8,2,4,6,1,5,7,3]=>[4,2,6,1,8,5,7,3]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[7,1,4,2,6,8,5,3]=>[7,6,1,4,8,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[7,1,8,5,2,4,6,3]=>[5,1,7,8,4,2,6,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[8,1,4,3,6,7,5,2]=>[8,4,1,6,3,7,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[7,8,3,4,1,6,5,2]=>[7,3,4,8,6,5,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[8,7,3,4,2,6,5,1]=>[8,3,4,7,6,2,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[8,4,5,2,3,7,1,6]=>[2,4,5,3,8,1,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[4,7,2,8,6,3,1,5]=>[4,7,2,8,6,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[6,4,7,5,2,8,3,1]=>[6,7,4,5,8,2,3,1]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[2,8,4,1,5,7,6,3]=>[8,4,2,7,5,1,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[1,8,4,2,5,7,6,3]=>[8,4,7,1,5,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[2,8,5,4,1,7,6,3]=>[8,5,7,4,2,6,1,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[1,8,5,2,4,7,6,3]=>[8,5,1,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[1,4,6,2,8,7,5,3]=>[8,6,4,7,1,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[7,8,2,4,1,6,5,3]=>[7,4,2,8,6,5,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>[2,2,3,1]
[2,4,6,1,8,7,5,3]=>[8,6,4,2,7,5,1,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[3,5,8,2,7,6,1,4]=>[3,8,2,5,1,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[2,1,6,8,7,5,3,4]=>[2,8,6,7,1,3,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[1,8,2,4,5,7,6,3]=>[8,4,1,2,7,5,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[2,6,1,8,7,5,3,4]=>[2,8,6,7,1,5,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[1,6,2,8,7,5,3,4]=>[1,8,6,7,5,2,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[3,1,8,2,5,7,6,4]=>[8,7,3,1,2,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[8,1,4,7,6,3,2,5]=>[4,8,1,7,3,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[5,3,8,6,2,7,1,4]=>[3,5,8,2,6,1,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[8,3,6,1,5,7,2,4]=>[3,1,6,2,8,5,7,4]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[8,4,6,3,1,2,5,7]=>[1,4,3,6,8,2,5,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[1,8,5,3,7,2,4,6]=>[3,5,1,8,2,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[6,8,1,4,5,2,3,7]=>[1,4,2,6,5,8,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[1,5,8,4,6,2,3,7]=>[1,5,4,2,6,8,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[2,1,6,5,3,8,4,7]=>[6,5,2,8,1,3,4,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[1,4,6,8,5,2,3,7]=>[1,6,4,2,5,8,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[5,6,8,1,4,2,3,7]=>[1,5,2,6,4,8,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[5,7,4,8,1,2,3,6]=>[1,2,5,4,7,3,8,6]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[1,5,4,7,2,3,8,6]=>[7,1,5,4,2,8,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[4,7,5,1,8,2,3,6]=>[1,4,7,5,2,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[5,3,7,1,2,4,8,6]=>[7,1,3,5,2,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[4,7,8,1,2,6,3,5]=>[4,1,2,7,3,8,6,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[8,7,1,5,6,2,3,4]=>[1,2,5,3,8,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[1,6,5,8,7,2,3,4]=>[1,2,8,6,5,3,7,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[8,6,2,1,3,4,7,5]=>[6,2,1,8,7,3,4,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[7,2,1,3,6,4,8,5]=>[7,6,2,1,8,3,4,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[5,1,2,7,6,8,3,4]=>[1,7,5,2,6,3,8,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[6,1,7,2,5,8,3,4]=>[1,6,2,7,5,3,8,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[1,7,6,5,8,2,3,4]=>[1,2,7,6,5,3,8,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,6,8,5,7,2,3,4]=>[1,2,6,5,3,8,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[7,5,1,2,6,8,3,4]=>[1,5,2,7,6,3,8,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[6,1,5,2,7,8,3,4]=>[1,6,5,2,7,3,8,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[1,6,3,8,7,2,4,5]=>[3,1,8,6,2,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[1,7,3,2,4,6,8,5]=>[7,3,1,6,2,4,8,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[4,1,8,3,2,7,5,6]=>[4,8,3,1,7,2,5,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[3,1,2,7,8,4,6,5]=>[7,1,8,3,2,4,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[3,8,1,2,7,6,4,5]=>[1,8,7,3,2,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[7,1,4,8,2,6,3,5]=>[1,7,4,2,8,3,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[1,8,6,2,5,7,3,4]=>[1,6,2,8,5,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[5,7,8,1,2,6,3,4]=>[1,5,2,7,3,8,6,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[8,1,5,7,6,2,3,4]=>[1,2,8,5,3,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[7,1,6,8,5,2,3,4]=>[1,2,7,6,3,8,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[3,7,1,2,8,4,6,5]=>[7,1,8,3,2,6,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[7,2,1,8,3,4,6,5]=>[7,2,1,8,6,3,4,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[8,3,1,2,7,6,4,5]=>[1,8,7,3,2,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[1,5,8,7,6,2,3,4]=>[1,2,8,7,5,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[7,8,6,1,5,2,3,4]=>[1,2,7,3,8,6,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[7,8,1,3,4,5,2,6]=>[3,1,4,5,7,8,2,6]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[7,6,8,4,1,5,3,2]=>[4,7,6,8,5,3,1,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[7,3,2,8,1,5,4,6]=>[3,7,2,8,1,5,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[6,4,7,3,2,5,1,8]=>[4,6,3,7,2,5,1,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[7,6,5,3,8,4,1,2]=>[1,7,6,5,8,3,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[3,7,4,1,6,8,5,2]=>[7,3,6,4,8,1,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[3,1,2,7,6,8,5,4]=>[7,6,8,1,3,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[6,3,2,8,4,5,1,7]=>[3,6,2,8,4,5,1,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[1,5,4,8,6,3,7,2]=>[5,8,4,6,1,3,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[4,8,2,5,3,7,1,6]=>[4,2,5,8,3,1,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[3,8,4,5,2,6,7,1]=>[3,4,5,8,2,6,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[5,7,8,4,6,3,2,1]=>[5,4,7,8,6,3,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[5,8,7,3,6,2,4,1]=>[3,5,8,2,7,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[7,5,2,3,4,8,6,1]=>[7,2,3,8,5,4,6,1]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[5,6,1,3,2,4,7,8]=>[1,5,3,6,2,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[2,5,1,3,7,8,6,4]=>[7,5,2,1,8,3,6,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[4,3,7,2,1,8,6,5]=>[7,8,4,3,6,2,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[3,6,4,2,5,1,7,8]=>[3,6,4,2,5,1,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[3,1,6,4,7,5,2,8]=>[6,7,3,4,1,5,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[3,6,2,7,5,4,1,8]=>[6,7,3,5,2,4,1,8]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[2,4,7,5,3,6,1,8]=>[4,7,2,5,3,6,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[2,4,7,3,8,6,5,1]=>[7,8,4,2,6,3,5,1]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[3,4,2,7,5,8,6,1]=>[7,8,3,4,2,5,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[4,5,7,2,3,1,8,6]=>[7,2,4,5,8,3,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[6,2,4,7,1,3,8,5]=>[6,2,1,7,4,8,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[7,3,5,1,4,2,8,6]=>[7,3,8,1,5,4,2,6]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[5,4,7,1,3,2,8,6]=>[7,5,1,4,8,3,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[6,1,4,7,5,3,8,2]=>[6,7,4,1,5,3,8,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[8,7,1,4,3,5,6,2]=>[4,1,8,3,7,5,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[4,7,3,6,1,2,8,5]=>[7,1,4,3,6,8,2,5]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[4,7,6,2,3,1,8,5]=>[7,2,6,4,8,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[7,6,8,2,5,3,4,1]=>[2,7,3,6,8,5,4,1]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[2,6,8,7,5,3,1,4]=>[2,8,6,7,3,5,1,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[6,4,1,7,5,2,8,3]=>[6,7,4,5,8,1,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[8,6,2,1,5,7,4,3]=>[6,8,2,5,7,1,4,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[3,8,6,7,5,2,1,4]=>[3,8,2,6,7,5,1,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[6,1,3,7,5,8,2,4]=>[1,6,7,3,2,5,8,4]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[4,7,3,1,8,5,6,2]=>[4,7,3,8,5,1,6,2]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[2,6,4,5,7,3,8,1]=>[6,2,4,5,7,3,8,1]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[6,1,4,5,8,3,7,2]=>[4,6,1,5,3,8,7,2]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[6,1,8,5,3,4,7,2]=>[6,1,5,8,3,4,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[5,4,7,1,8,6,2,3]=>[1,7,5,4,8,6,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[6,4,1,8,7,2,5,3]=>[4,8,6,7,1,5,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[2,8,5,4,1,7,3,6]=>[5,4,8,2,1,7,3,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[1,3,8,6,7,2,4,5]=>[1,3,8,2,4,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[2,8,7,4,6,1,3,5]=>[2,1,4,8,7,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[1,3,8,7,6,2,4,5]=>[3,1,8,7,2,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[7,4,6,8,5,2,3,1]=>[2,7,4,6,8,5,3,1]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[7,4,5,8,2,6,3,1]=>[4,5,7,8,2,6,3,1]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[4,6,5,8,1,3,7,2]=>[6,1,4,5,3,8,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[5,7,6,4,8,1,3,2]=>[7,1,5,6,4,8,3,2]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[7,5,3,6,8,2,1,4]=>[3,5,7,2,6,8,1,4]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[5,2,6,7,8,1,3,4]=>[2,1,5,3,6,7,8,4]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[4,5,6,8,1,2,7,3]=>[4,1,5,6,8,2,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[3,5,8,6,1,2,7,4]=>[8,1,3,5,6,7,2,4]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[3,6,8,7,5,1,2,4]=>[1,3,8,6,2,7,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[1,4,6,8,7,2,3,5]=>[1,4,8,2,3,6,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[3,5,8,4,1,7,2,6]=>[5,3,4,1,8,7,2,6]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[3,4,8,1,5,7,2,6]=>[3,4,5,1,2,8,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[1,6,5,7,8,2,3,4]=>[1,2,6,5,3,7,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[6,7,3,5,8,2,1,4]=>[3,2,6,7,5,8,1,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[6,5,4,8,1,3,7,2]=>[6,1,5,4,3,8,7,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[7,6,4,8,5,1,3,2]=>[7,1,6,8,4,5,3,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[7,2,6,5,8,1,3,4]=>[2,1,7,3,6,5,8,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[7,3,6,5,2,4,1,8]=>[3,7,2,6,5,4,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[8,1,2,7,4,5,3,6]=>[1,8,4,2,5,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[8,5,7,4,3,1,2,6]=>[1,5,4,8,7,3,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[6,1,7,4,5,3,8,2]=>[6,7,1,4,5,3,8,2]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[8,2,1,7,4,5,3,6]=>[2,8,1,7,4,5,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[8,1,3,7,5,6,4,2]=>[8,5,1,3,7,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[3,8,2,6,1,4,7,5]=>[6,3,2,1,8,7,4,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[1,6,4,7,5,8,3,2]=>[6,7,4,5,1,8,3,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[6,3,5,7,8,1,2,4]=>[1,3,2,6,5,7,8,4]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[3,8,1,2,6,4,7,5]=>[8,1,6,3,2,7,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[6,1,3,7,4,2,8,5]=>[6,7,8,1,3,4,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[6,7,2,4,1,3,8,5]=>[6,2,1,7,8,4,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[7,8,4,6,3,2,5,1]=>[4,3,7,8,6,2,5,1]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[8,7,1,4,6,2,5,3]=>[4,8,1,2,7,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[8,1,3,4,5,2,7,6]=>[8,3,1,4,5,7,2,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[8,4,3,5,1,7,2,6]=>[4,3,5,8,1,7,2,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[3,4,1,6,8,2,7,5]=>[6,3,4,8,1,2,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[3,7,8,2,5,6,4,1]=>[5,3,2,7,8,6,4,1]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[1,8,6,7,2,5,4,3]=>[8,6,1,7,2,5,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[8,7,2,4,6,1,5,3]=>[4,2,8,1,7,6,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[7,8,6,5,2,4,3,1]=>[7,2,8,6,5,4,3,1]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[5,3,6,7,8,1,4,2]=>[3,5,6,1,7,8,4,2]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[5,4,8,6,7,2,3,1]=>[2,5,8,4,6,7,3,1]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[5,4,8,7,2,1,3,6]=>[2,5,8,4,1,7,3,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[7,1,6,3,5,2,8,4]=>[7,6,1,3,5,8,2,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[7,1,4,3,6,2,8,5]=>[7,6,1,4,3,8,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[5,3,6,4,8,2,7,1]=>[5,6,3,4,2,8,7,1]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[5,3,7,4,6,2,8,1]=>[5,3,7,4,6,2,8,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[8,2,4,7,3,5,6,1]=>[4,2,3,5,8,7,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[4,5,6,2,7,3,8,1]=>[4,5,6,7,2,3,8,1]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[5,4,6,2,8,3,7,1]=>[5,4,6,2,8,3,7,1]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[8,4,6,1,7,2,5,3]=>[4,6,1,8,7,5,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[8,5,1,6,2,7,4,3]=>[5,6,8,7,4,1,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[5,2,1,6,3,8,7,4]=>[8,5,6,7,2,1,3,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[4,5,6,3,7,1,8,2]=>[4,5,6,3,7,8,1,2]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[3,8,4,2,5,1,6,7]=>[3,4,2,8,5,1,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[8,5,4,1,3,2,6,7]=>[1,5,8,4,3,2,6,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[3,8,4,1,5,2,6,7]=>[3,4,5,8,1,2,6,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[2,5,4,3,8,1,6,7]=>[5,4,2,3,1,6,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[5,3,4,2,7,1,6,8]=>[3,5,4,2,1,7,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[7,5,1,4,3,2,6,8]=>[5,7,1,4,3,2,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[4,5,3,1,2,7,6,8]=>[7,1,4,5,3,2,6,8]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[4,2,5,1,3,8,7,6]=>[8,7,2,4,1,5,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[5,3,4,1,7,2,6,8]=>[3,5,4,1,7,2,6,8]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[4,1,6,3,5,2,7,8]=>[4,6,1,3,5,2,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[3,1,7,2,5,6,4,8]=>[7,3,1,2,5,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[3,7,2,4,1,6,5,8]=>[7,3,2,4,6,1,5,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[7,3,2,1,6,4,5,8]=>[3,7,2,6,1,4,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[2,7,3,1,6,4,5,8]=>[2,7,3,6,1,4,5,8]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[2,3,7,6,1,5,4,8]=>[7,2,6,3,1,5,4,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[2,5,6,4,1,3,7,8]=>[2,5,1,6,4,3,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[6,4,1,7,2,5,3,8]=>[4,6,7,1,5,2,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[2,8,5,7,1,3,6,4]=>[5,2,1,8,7,3,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[8,5,2,6,1,3,7,4]=>[5,2,8,1,6,7,3,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[7,1,2,5,4,6,3,8]=>[7,1,5,2,4,6,3,8]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,2,1]
[7,1,2,6,5,4,3,8]=>[7,6,5,1,2,4,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[7,5,1,4,6,2,3,8]=>[1,5,2,7,4,6,3,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[7,1,3,5,6,2,4,8]=>[3,1,2,5,7,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,2,1,5,6,3,7,4]=>[8,2,5,1,6,7,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[3,1,4,6,5,2,7,8]=>[6,3,4,1,5,2,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[5,7,3,1,8,4,2,6]=>[5,3,7,8,4,1,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[2,1,8,6,3,7,5,4]=>[6,8,7,5,2,1,3,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[4,8,2,3,7,6,5,1]=>[8,7,2,4,3,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[5,8,3,1,7,6,4,2]=>[8,5,7,3,6,4,1,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[7,8,5,1,2,6,4,3]=>[5,7,1,8,6,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[7,4,1,6,8,3,2,5]=>[4,1,7,6,8,3,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[7,6,3,2,8,5,1,4]=>[3,7,6,8,2,1,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[7,5,1,8,4,6,2,3]=>[1,5,7,8,2,4,6,3]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[7,3,8,5,2,6,1,4]=>[3,2,7,8,5,1,6,4]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[6,3,8,4,1,5,2,7]=>[3,6,4,8,5,1,2,7]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[6,3,8,1,4,5,2,7]=>[3,6,1,4,5,8,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[6,3,8,5,1,4,2,7]=>[3,6,5,8,1,4,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[6,3,8,4,5,1,2,7]=>[1,3,6,4,8,5,2,7]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[2,6,3,4,8,1,5,7]=>[2,3,6,4,1,5,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[5,4,1,3,2,8,6,7]=>[5,8,1,4,3,2,6,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[3,7,4,2,8,5,6,1]=>[3,7,8,4,2,5,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[5,1,3,4,2,8,6,7]=>[3,8,1,5,4,2,6,7]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[5,2,1,4,3,8,6,7]=>[5,8,2,4,1,3,6,7]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[5,2,1,3,4,8,6,7]=>[2,8,1,5,3,4,6,7]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[5,1,2,4,3,8,6,7]=>[5,8,1,2,4,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[6,7,1,8,3,5,4,2]=>[6,7,1,8,5,3,4,2]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[3,2,6,1,8,4,5,7]=>[3,6,2,1,4,8,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[4,7,3,2,8,5,1,6]=>[4,7,3,8,2,5,1,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[4,3,7,2,8,5,6,1]=>[4,7,3,2,8,5,6,1]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[5,4,3,1,2,8,6,7]=>[1,8,5,4,3,2,6,7]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[5,2,4,3,1,8,6,7]=>[5,8,2,4,3,1,6,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[3,4,2,7,8,5,6,1]=>[3,7,4,2,5,8,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[4,3,1,6,8,2,5,7]=>[4,3,1,6,2,5,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[5,2,3,4,1,8,6,7]=>[2,8,3,5,4,1,6,7]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[5,8,7,4,3,1,6,2]=>[5,8,4,7,3,6,1,2]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,3]
[6,8,7,1,4,3,5,2]=>[8,1,4,6,7,3,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[7,3,1,4,5,8,6,2]=>[7,3,8,1,4,5,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[6,8,1,3,4,5,7,2]=>[3,1,4,6,5,8,7,2]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[5,2,6,3,7,8,1,4]=>[2,5,6,3,1,7,8,4]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[3,5,2,8,1,6,7,4]=>[5,3,6,2,1,8,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[4,5,6,2,8,1,7,3]=>[4,5,6,8,2,1,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[2,6,1,4,8,5,7,3]=>[6,4,2,1,8,5,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[8,4,5,1,6,2,3,7]=>[1,4,5,6,8,2,3,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[6,2,8,3,5,7,1,4]=>[2,3,6,1,8,5,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[6,2,3,7,4,1,8,5]=>[6,7,2,8,3,4,1,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[7,2,6,8,4,3,1,5]=>[2,7,6,4,8,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[2,7,5,8,1,6,4,3]=>[7,5,2,8,6,1,4,3]=>[[1,3],[2,4],[5,6],[7,8]]=>[2,3,2,1]
[4,7,1,8,2,3,6,5]=>[7,1,4,2,8,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[2,1,4,8,3,7,5,6]=>[4,8,2,1,3,5,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[6,2,8,1,7,3,4,5]=>[2,1,6,8,3,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[4,8,1,6,7,3,2,5]=>[4,1,6,8,3,7,2,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[1,2,7,8,4,3,6,5]=>[7,1,8,6,2,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[6,8,1,3,2,4,5,7]=>[1,3,6,2,4,8,5,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[6,3,7,8,2,4,5,1]=>[3,2,6,4,7,8,5,1]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[7,3,5,2,4,8,6,1]=>[7,3,2,8,5,4,6,1]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[5,7,4,1,3,2,8,6]=>[7,5,1,8,4,3,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[8,6,2,5,1,7,3,4]=>[2,6,1,8,5,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[7,5,6,2,8,1,3,4]=>[2,1,5,7,6,3,8,4]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[3,5,4,6,7,1,8,2]=>[5,3,4,6,7,8,1,2]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[1,3,2,6,4,8,7,5]=>[8,6,7,3,1,2,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[1,8,2,6,3,7,5,4]=>[8,6,1,7,5,2,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,8,3,6,4,7,5,2]=>[8,6,1,7,3,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[1,7,3,6,4,8,5,2]=>[7,6,8,1,3,4,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[1,7,2,6,3,8,5,4]=>[7,6,8,1,5,2,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,5,2,7,4,8,6,3]=>[7,5,8,4,1,2,6,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[1,3,2,8,4,7,6,5]=>[8,7,3,6,1,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[1,5,2,8,4,7,6,3]=>[8,5,7,1,4,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[1,5,3,8,4,7,6,2]=>[8,5,7,1,3,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[1,6,3,8,4,7,5,2]=>[6,8,7,1,3,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[1,6,2,8,3,7,5,4]=>[6,8,7,1,5,2,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[2,8,3,7,1,5,4,6]=>[2,8,3,1,7,5,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[1,8,4,7,3,6,5,2]=>[8,7,1,4,3,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[1,7,4,8,3,6,5,2]=>[7,4,8,3,1,6,5,2]=>[[1,2],[3,5],[4,6],[7,8]]=>[4,3,1]
[3,8,2,6,1,5,4,7]=>[3,8,2,1,6,5,4,7]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[8,6,5,4,1,3,2,7]=>[1,8,6,5,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[5,3,8,7,4,6,2,1]=>[5,8,3,7,4,6,2,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[2,3,8,7,4,6,1,5]=>[2,3,8,7,4,1,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[4,8,7,6,5,1,3,2]=>[8,1,7,6,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[3,8,7,5,1,6,2,4]=>[3,1,8,7,5,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[8,5,4,7,2,1,3,6]=>[2,5,4,8,1,7,3,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[6,8,7,3,5,2,1,4]=>[3,2,8,6,7,5,1,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[6,8,4,1,5,2,7,3]=>[4,6,5,8,7,1,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[4,8,7,6,5,2,1,3]=>[2,8,7,6,4,5,1,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[8,7,2,6,5,1,3,4]=>[2,1,8,3,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[6,2,7,4,8,5,3,1]=>[6,7,8,4,2,5,3,1]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[8,6,5,1,7,2,4,3]=>[6,1,8,5,7,4,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[3,5,2,6,4,8,1,7]=>[5,3,6,2,4,1,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[6,3,8,2,4,1,7,5]=>[6,3,8,2,4,7,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[6,5,3,1,4,8,2,7]=>[3,6,5,4,1,2,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[3,1,7,8,6,4,2,5]=>[3,7,8,1,6,4,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[3,8,1,7,6,2,5,4]=>[8,3,7,1,6,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[8,1,7,6,4,2,5,3]=>[8,1,7,6,4,5,2,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[7,2,6,3,8,5,4,1]=>[7,6,8,2,5,3,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[1,7,5,8,2,4,3,6]=>[1,7,5,2,8,4,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[6,1,5,2,4,8,3,7]=>[6,1,5,2,4,3,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[8,7,1,3,6,5,2,4]=>[3,8,1,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[2,6,7,4,3,8,5,1]=>[6,7,8,2,4,3,5,1]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[5,2,4,7,3,8,6,1]=>[7,5,2,4,8,3,6,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[1,4,8,7,3,6,5,2]=>[8,4,7,3,1,6,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[3,7,2,8,1,5,4,6]=>[3,7,2,1,8,5,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[7,2,1,5,8,4,3,6]=>[5,7,2,1,8,4,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[7,2,8,1,4,3,6,5]=>[7,2,8,1,6,4,3,5]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[1,7,4,8,3,2,6,5]=>[7,4,8,1,6,3,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[1,7,5,4,8,3,2,6]=>[5,7,4,1,8,3,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[1,6,4,2,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[1,8,5,2,3,4,6,7]=>[1,2,5,3,8,4,6,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[1,8,7,2,3,4,5,6]=>[1,2,3,4,8,7,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[1,5,8,6,2,3,4,7]=>[1,2,5,8,3,6,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[1,6,8,5,2,3,4,7]=>[1,2,6,3,8,5,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[1,6,5,7,2,3,4,8]=>[1,2,6,5,3,7,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[1,3,2,7,6,4,5,8]=>[3,7,6,1,2,4,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[1,2,3,7,6,4,5,8]=>[1,7,6,2,3,4,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[1,5,4,2,3,7,6,8]=>[7,1,5,4,2,3,6,8]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,2,1]
[1,5,4,2,3,8,6,7]=>[1,8,5,4,2,3,6,7]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[1,3,2,8,6,4,5,7]=>[3,6,8,1,2,4,5,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[1,8,6,5,2,3,4,7]=>[1,2,6,8,5,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[1,7,5,8,2,3,4,6]=>[1,2,5,7,3,4,8,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[1,8,7,5,2,3,4,6]=>[1,2,5,8,7,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[1,7,4,2,8,3,5,6]=>[4,1,7,2,8,3,5,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[1,7,8,5,2,3,4,6]=>[1,2,3,7,8,5,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[2,5,8,4,6,1,7,3]=>[5,4,2,6,8,7,1,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[5,8,4,6,1,3,7,2]=>[5,1,4,6,8,3,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[5,3,8,6,1,4,7,2]=>[3,5,8,6,1,4,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[8,3,5,7,2,6,4,1]=>[5,3,8,2,7,6,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[2,4,8,1,7,6,5,3]=>[8,7,4,2,6,1,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[3,8,4,1,5,7,6,2]=>[8,3,4,7,5,1,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[4,3,6,8,5,2,7,1]=>[6,4,3,5,8,2,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[8,5,4,7,2,6,3,1]=>[5,4,8,7,2,6,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[3,6,4,8,5,2,7,1]=>[6,3,8,4,5,2,7,1]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[4,8,6,5,1,3,7,2]=>[6,1,8,4,5,3,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[2,6,7,4,1,3,8,5]=>[6,2,7,1,8,4,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[3,6,4,2,5,7,8,1]=>[3,6,4,2,5,7,8,1]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[2,3,6,1,5,7,8,4]=>[6,2,3,1,5,7,8,4]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[4,3,6,2,5,7,8,1]=>[4,3,2,6,5,7,8,1]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[2,6,4,1,5,7,8,3]=>[6,2,4,5,1,7,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[8,6,5,3,1,7,4,2]=>[6,8,5,7,3,4,1,2]=>[[1,2],[3,4],[5,7],[6,8]]=>[3,3,2]
[6,4,2,7,5,1,8,3]=>[6,7,4,5,2,8,1,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[7,5,4,2,6,1,8,3]=>[5,7,4,6,2,8,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[7,5,4,6,3,1,8,2]=>[5,7,4,6,3,8,1,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[4,7,3,1,8,6,5,2]=>[7,8,4,6,3,5,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>[4,3,1]
[4,8,6,5,3,1,7,2]=>[6,8,4,5,3,7,1,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[5,6,4,7,3,1,8,2]=>[5,6,4,7,3,8,1,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[5,6,4,2,7,1,8,3]=>[5,6,4,7,2,8,1,3]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,3,6,8,2,1,7,4]=>[5,6,3,8,2,7,1,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[4,2,7,5,3,1,8,6]=>[7,8,4,5,2,3,1,6]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[4,2,8,6,5,3,1,7]=>[6,8,4,5,2,3,1,7]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[5,6,3,2,8,4,1,7]=>[5,6,3,8,2,4,1,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[5,3,6,4,8,2,1,7]=>[5,6,3,4,2,8,1,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[4,8,3,2,6,5,1,7]=>[4,8,3,6,2,5,1,7]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[7,3,2,5,4,1,8,6]=>[7,8,3,5,2,4,1,6]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[7,3,2,5,1,8,6,4]=>[7,8,3,5,2,6,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[4,6,3,8,7,2,1,5]=>[4,8,3,6,2,7,1,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,7,6,3,2,5,1,8]=>[4,7,3,6,2,5,1,8]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[4,7,6,3,8,2,1,5]=>[4,7,3,6,2,8,1,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[4,7,3,8,6,2,1,5]=>[4,7,3,8,2,6,1,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[7,5,4,8,2,1,6,3]=>[5,7,4,8,2,6,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[5,7,3,2,6,1,8,4]=>[5,7,3,6,2,8,1,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[5,7,3,2,6,4,1,8]=>[5,7,3,6,2,4,1,8]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[6,4,2,7,1,8,5,3]=>[6,7,4,8,2,5,1,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[6,2,7,5,1,8,4,3]=>[6,7,5,8,2,4,1,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[2,7,5,3,1,8,6,4]=>[7,8,5,6,2,3,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[2,8,6,5,3,1,7,4]=>[6,8,5,7,2,3,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[7,3,2,4,1,8,6,5]=>[7,8,3,6,2,4,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[5,3,2,8,7,4,1,6]=>[5,8,3,7,2,4,1,6]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[8,4,3,2,7,5,1,6]=>[4,8,3,7,2,5,1,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[4,3,7,5,8,2,1,6]=>[4,7,3,5,2,8,1,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[4,3,7,5,2,6,1,8]=>[4,7,3,5,2,6,1,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[8,4,5,3,7,2,1,6]=>[4,5,3,8,2,7,1,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[4,3,5,8,7,2,1,6]=>[4,8,3,5,2,7,1,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[3,6,4,8,2,1,7,5]=>[6,8,3,4,2,7,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[3,4,2,7,5,1,8,6]=>[7,8,3,4,2,5,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[3,4,2,8,6,5,1,7]=>[6,8,3,4,2,5,1,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[4,3,5,2,8,6,1,7]=>[4,8,3,5,2,6,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[4,5,3,6,8,2,1,7]=>[4,5,3,6,2,8,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[1,2,3,4,5,9,7,8,6]=>[9,1,7,2,3,4,5,8,6]=>[[1,2,3,4,5,6],[7,8],[9]]=>[7,2]
[1,8,5,3,4,6,7,2]=>[5,1,3,8,4,6,7,2]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[10,2,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,8,10,9,1]=>[[1,3,4,5,6,7,8,9],[2],[10]]=>[2,8]
[6,8,9,7,5,4,3,2,1]=>[8,6,9,7,5,4,3,2,1]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>[6,2,1]
[7,8,4,1,6,3,5,2]=>[4,7,1,8,6,3,5,2]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[1,2,3,4,7,5,8,6,9]=>[7,8,1,2,3,4,5,6,9]=>[[1,2,3,4,5,6,9],[7,8]]=>[7,2]
[3,2,6,4,1,8,5,7]=>[6,3,8,2,4,1,5,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[5,4,8,6,2,3,1,7]=>[2,5,8,4,6,3,1,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[4,8,7,5,2,3,1,6]=>[2,4,8,7,5,3,1,6]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[2,5,3,7,6,8,4,1]=>[7,5,6,2,3,8,4,1]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[8,6,5,1,4,2,3,7]=>[1,2,8,6,5,4,3,7]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[4,1,2,8,6,5,3,7]=>[6,8,4,1,5,2,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[4,6,1,8,5,2,3,7]=>[1,6,4,5,8,2,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[8,5,7,6,3,2,4,1]=>[3,8,5,7,6,2,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[7,4,6,8,3,1,5,2]=>[4,3,7,6,8,5,1,2]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[3,6,5,8,2,7,4,1]=>[6,5,3,8,2,7,4,1]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[8,3,2,7,4,6,5,1]=>[8,3,7,2,6,4,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[7,5,8,4,1,3,6,2]=>[5,1,7,4,8,3,6,2]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[7,1,6,2,3,8,4,5]=>[1,7,2,6,3,8,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[6,4,7,1,3,2,8,5]=>[6,7,1,4,8,3,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[8,7,1,6,2,5,3,4]=>[1,8,2,7,3,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[2,8,7,3,5,1,6,4]=>[8,2,3,7,5,6,1,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[3,1,7,4,8,6,2,5]=>[3,7,8,4,1,2,6,5]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[7,1,5,2,4,8,3,6]=>[1,7,5,2,4,3,8,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[6,4,1,8,7,2,3,5]=>[1,4,8,6,2,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[7,3,2,5,8,4,1,6]=>[3,7,5,2,4,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[7,5,8,1,6,3,2,4]=>[1,5,7,8,6,3,2,4]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[3,7,2,5,6,4,8,1]=>[5,3,2,7,6,4,8,1]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[6,7,2,4,1,5,8,3]=>[4,2,6,7,5,1,8,3]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[5,8,1,6,2,3,7,4]=>[5,1,8,2,6,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[5,1,2,8,4,7,6,3]=>[8,5,7,1,2,4,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[8,2,3,7,4,6,5,1]=>[8,2,7,3,4,6,5,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[7,1,4,8,5,6,2,3]=>[1,7,2,4,8,5,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[8,1,5,6,4,3,7,2]=>[5,8,1,6,4,3,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[7,4,6,1,3,2,5,8]=>[4,1,3,7,6,2,5,8]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[3,7,4,5,6,2,1,8]=>[3,4,7,5,6,2,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[4,5,2,6,7,3,1,8]=>[4,5,6,2,7,3,1,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[8,1,7,5,3,6,2,4]=>[1,8,3,7,5,2,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[5,8,6,3,1,7,2,4]=>[3,5,8,6,1,7,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[4,8,6,3,5,7,2,1]=>[4,3,8,6,5,7,2,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[4,7,8,3,2,6,1,5]=>[4,3,2,7,8,1,6,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[5,2,8,3,6,1,4,7]=>[2,5,3,1,8,6,4,7]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[2,1,6,5,8,3,4,7]=>[2,6,5,1,3,4,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[5,2,6,3,1,7,8,4]=>[5,6,7,2,3,1,8,4]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[7,4,3,1,5,2,8,6]=>[7,4,8,3,5,1,2,6]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[4,3,5,1,6,7,8,2]=>[4,3,5,6,1,7,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[5,1,4,3,6,7,8,2]=>[5,4,1,3,6,7,8,2]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[3,6,7,5,1,2,8,4]=>[6,1,7,3,5,8,2,4]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[1,7,6,8,5,2,4,3]=>[7,1,6,8,5,2,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[6,1,2,7,5,4,8,3]=>[6,7,5,1,4,2,8,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[3,4,6,1,5,2,8,7]=>[8,3,4,6,1,5,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[5,6,3,7,1,4,8,2]=>[3,5,6,7,1,4,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[3,1,2,5,8,6,4,7]=>[5,8,1,3,2,6,4,7]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[5,3,2,1,8,6,4,7]=>[5,8,6,3,2,1,4,7]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[3,8,7,4,5,1,2,6]=>[1,3,4,8,7,5,2,6]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[7,5,1,4,2,3,8,6]=>[7,1,8,2,5,4,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[2,6,3,4,1,7,8,5]=>[6,2,7,3,4,1,8,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[3,8,6,4,5,7,2,1]=>[3,6,8,4,5,7,2,1]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[1,8,7,6,5,4,3,2,9]=>[8,7,6,5,4,3,1,2,9]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,1]
[1,9,8,7,6,5,4,3,2,10]=>[9,8,7,6,5,4,3,1,2,10]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[7,8,6,1,4,5,2,3]=>[1,4,2,7,8,6,5,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[7,5,8,1,4,6,2,3]=>[1,5,2,7,4,8,6,3]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[1,8,5,4,7,6,2,3]=>[1,8,5,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[1,8,5,4,6,7,2,3]=>[1,5,8,2,4,6,7,3]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[6,5,3,7,2,1,8,4]=>[6,5,7,3,8,2,1,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[7,8,5,3,6,2,1,4]=>[3,5,7,8,2,6,1,4]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[7,8,5,3,6,2,4,1]=>[3,5,7,8,2,6,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[7,8,4,3,2,6,5,1]=>[7,4,8,6,3,2,5,1]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[7,8,4,3,2,6,1,5]=>[4,3,7,8,2,1,6,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[5,4,3,8,2,1,7,6]=>[8,5,4,3,2,7,1,6]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[6,4,8,3,2,1,7,5]=>[6,8,4,3,7,2,1,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[6,5,3,1,2,8,7,4]=>[8,6,1,5,7,3,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[6,5,8,3,1,2,7,4]=>[6,1,5,8,3,7,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[7,5,8,1,3,2,6,4]=>[7,1,5,8,3,6,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[1,8,6,7,3,2,4,5]=>[1,3,8,6,2,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[7,8,6,1,3,2,4,5]=>[1,3,7,2,8,6,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[5,4,3,8,2,1,6,7]=>[5,4,3,2,1,8,6,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[1,8,4,3,2,5,7,6]=>[8,4,3,7,1,2,5,6]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[6,4,8,3,2,5,7,1]=>[4,6,3,2,8,5,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[5,4,3,8,2,6,7,1]=>[5,4,3,2,6,8,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[4,5,6,7,8,1,2,9,3]=>[4,1,5,6,7,8,9,2,3]=>[[1,2,3,7,8,9],[4,5,6]]=>[4,5]
[5,2,3,7,4,8,1,6]=>[5,2,3,7,4,1,8,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[7,2,3,4,5,8,1,6]=>[2,3,4,5,7,1,8,6]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[7,2,8,1,5,3,4,6]=>[2,1,7,3,8,5,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[2,1,8,6,4,5,7,3]=>[6,2,8,4,1,5,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[4,8,2,5,7,3,1,6]=>[4,5,2,3,8,7,1,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[5,8,2,3,4,7,1,6]=>[2,3,5,4,1,8,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[6,3,4,7,8,2,1,5]=>[3,4,6,2,7,8,1,5]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[3,8,5,1,4,7,6,2]=>[8,3,7,1,5,4,6,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[4,8,5,1,3,6,7,2]=>[4,1,5,8,3,6,7,2]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[3,7,8,5,2,6,4,1]=>[7,3,5,8,6,2,4,1]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[3,8,6,2,7,4,5,1]=>[3,8,2,6,7,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[8,5,4,7,1,3,6,2]=>[5,1,4,8,3,7,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[7,3,6,2,8,1,5,4]=>[7,3,2,6,8,1,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[4,5,8,3,7,2,1,6]=>[4,5,3,2,8,7,1,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[3,7,2,8,4,5,1,6]=>[3,2,7,4,8,5,1,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[3,5,1,8,4,6,2,7]=>[5,3,1,8,4,6,2,7]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[4,2,1,5,6,8,3,7]=>[4,5,2,1,6,3,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[4,1,2,6,5,8,3,7]=>[6,4,1,5,2,3,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[4,2,7,5,8,1,3,6]=>[2,4,7,1,5,3,8,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[4,6,2,7,8,3,1,5]=>[4,2,6,7,3,8,1,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[4,6,1,3,8,2,5,7]=>[4,1,3,6,2,5,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[1,5,4,8,6,3,2,7]=>[5,8,4,6,1,3,2,7]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[7,5,4,8,6,3,1,2]=>[1,7,8,5,4,6,3,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[1,8,7,5,3,6,4,2]=>[5,8,7,6,3,1,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[8,3,7,4,1,6,2,5]=>[3,4,8,1,7,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[8,5,4,1,6,3,2,7]=>[5,4,8,6,3,1,2,7]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[8,2,1,5,6,7,3,4]=>[2,5,1,3,8,6,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[7,1,4,8,6,3,2,5]=>[4,7,8,1,3,6,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[4,1,8,5,6,7,2,3]=>[1,4,8,2,5,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[5,3,6,8,2,7,1,4]=>[3,5,2,6,1,8,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[5,8,4,1,6,3,2,7]=>[5,4,6,8,3,1,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[6,3,8,1,5,7,2,4]=>[3,1,6,5,2,8,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[8,3,1,2,5,7,4,6]=>[1,8,3,2,5,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,1,4,2,6,5,3,7]=>[6,8,1,4,5,2,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[6,1,7,2,8,3,9,4,5]=>[1,6,7,8,9,2,3,4,5]=>[[1,2,3,4,5],[6,7,8,9]]=>[6,3]
[5,1,6,2,7,3,8,4,9]=>[5,6,7,8,1,2,3,4,9]=>[[1,2,3,4,9],[5,6,7,8]]=>[5,4]
[6,1,7,2,8,3,4,9,5]=>[6,1,7,8,9,2,3,4,5]=>[[1,2,3,4,5],[6,7,8,9]]=>[6,3]
[5,1,3,7,4,8,2,6]=>[5,1,7,3,4,2,8,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[2,5,8,7,4,3,6,1]=>[5,8,2,7,4,3,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[5,1,4,3,8,7,2,6]=>[5,8,4,1,3,2,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[5,1,7,8,3,4,2,6]=>[5,1,3,7,4,8,2,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[2,5,4,8,3,7,6,1]=>[8,5,4,2,3,7,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[5,8,1,2,3,6,4,7]=>[5,1,2,3,8,6,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[4,5,2,3,8,6,1,7]=>[2,8,4,5,3,6,1,7]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[3,7,8,1,4,5,2,6]=>[3,4,1,5,7,8,2,6]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[3,7,1,8,5,4,2,6]=>[3,7,8,5,4,1,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[4,8,1,3,7,5,2,6]=>[4,8,1,3,5,7,2,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[2,5,3,8,4,6,7,1]=>[5,2,3,8,4,6,7,1]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[4,8,3,1,5,7,2,6]=>[4,3,1,8,5,2,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[4,3,8,5,1,2,7,6]=>[8,1,4,7,3,5,2,6]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[4,8,5,3,7,1,2,6]=>[1,4,5,8,3,2,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[4,8,7,5,1,3,2,6]=>[1,8,4,7,5,3,2,6]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[3,7,8,4,1,5,2,6]=>[3,4,7,5,8,1,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[1,8,5,4,2,3,6,7]=>[1,5,4,8,2,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[1,6,3,8,4,5,2,7]=>[6,1,3,8,4,5,2,7]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[1,6,3,8,2,7,4,5]=>[3,6,8,1,2,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[1,3,6,8,2,7,5,4]=>[6,8,3,1,7,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[1,6,5,4,3,8,2,7]=>[6,5,4,3,1,2,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[1,8,3,6,2,4,5,7]=>[1,3,2,8,4,6,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[1,8,3,6,2,5,4,7]=>[1,8,6,3,2,5,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[1,5,4,8,3,6,2,7]=>[5,4,3,1,6,8,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[1,4,5,8,3,6,2,7]=>[4,5,1,3,6,8,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[1,3,6,8,4,5,2,7]=>[6,1,3,4,5,8,2,7]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[1,2,7,8,4,5,3,6]=>[1,7,4,2,5,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[7,2,8,5,6,3,4,1]=>[2,7,3,8,5,6,4,1]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[7,6,3,8,5,4,2,1]=>[7,6,8,5,3,4,2,1]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[6,2,8,7,5,4,1,3]=>[2,8,6,7,5,1,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[1,4,7,3,2,6,8,5]=>[7,4,1,6,3,2,8,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[1,5,7,3,6,2,8,4]=>[5,7,3,1,6,8,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[3,6,2,7,1,5,4,8]=>[6,3,2,7,1,5,4,8]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[1,2,5,4,8,3,7,6]=>[8,5,4,1,2,3,7,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[1,4,3,6,8,7,2,5]=>[4,8,3,1,2,6,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[1,5,3,7,6,8,2,4]=>[3,7,5,1,2,6,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[4,2,6,5,7,8,1,3]=>[2,6,4,1,5,7,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[3,2,5,7,6,8,1,4]=>[3,7,2,1,5,6,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[6,3,2,7,4,8,5,1]=>[6,7,8,3,2,4,5,1]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[4,1,8,7,5,2,6,3]=>[4,8,7,5,6,1,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[5,3,2,8,7,6,4,1]=>[8,7,5,6,3,2,4,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[3,8,1,7,6,5,2,4]=>[3,8,7,1,6,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[4,8,1,5,3,6,2,7]=>[4,1,8,5,3,6,2,7]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[5,8,1,6,4,2,7,3]=>[5,6,8,4,1,7,2,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[5,4,2,6,7,3,1,8]=>[5,4,6,2,7,3,1,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,4,2,7,6,3,1,8]=>[7,5,4,6,2,3,1,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[6,5,4,8,3,7,2,1]=>[6,5,4,3,8,7,2,1]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[6,3,5,7,2,4,1,8]=>[3,2,6,5,7,4,1,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[4,3,6,8,2,5,7,1]=>[4,3,2,6,5,8,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[2,7,5,1,8,4,6,3]=>[5,7,8,2,1,4,6,3]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[8,4,6,2,1,7,5,3]=>[6,4,8,7,5,2,1,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[7,8,5,2,1,6,4,3]=>[5,7,8,6,4,2,1,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[7,6,4,8,1,2,5,3]=>[4,1,7,6,8,2,5,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[7,5,4,8,3,2,6,1]=>[5,7,4,3,8,2,6,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[3,8,5,6,2,7,1,4]=>[3,2,5,8,6,1,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[2,4,5,8,7,3,1,6]=>[4,8,2,5,3,7,1,6]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[2,4,5,8,6,7,1,3]=>[2,1,8,4,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[4,1,5,8,6,7,2,3]=>[1,4,8,5,2,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[4,7,5,6,1,2,8,3]=>[4,1,7,5,6,8,2,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[4,3,7,5,6,2,8,1]=>[4,7,3,5,6,2,8,1]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[3,4,5,8,6,7,2,1]=>[3,8,4,5,6,7,2,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[4,7,1,5,6,2,8,3]=>[4,5,7,1,6,8,2,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[3,8,4,6,1,7,2,5]=>[3,4,1,8,6,7,2,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[3,8,5,6,4,7,2,1]=>[3,8,5,6,4,7,2,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[3,8,4,5,6,7,2,1]=>[3,4,5,8,6,7,2,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[3,8,6,5,2,7,4,1]=>[6,8,5,3,7,2,4,1]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[3,8,7,5,2,1,4,6]=>[3,2,8,7,5,1,4,6]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[3,8,6,5,1,7,2,4]=>[3,6,8,1,5,7,2,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[6,4,1,7,3,2,8,5]=>[6,7,4,8,3,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[5,1,4,6,7,2,8,3]=>[5,4,1,6,7,8,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[6,5,4,7,1,3,8,2]=>[6,1,5,4,7,3,8,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[2,1,3,4,5,6,8,9,7]=>[8,2,1,3,4,5,6,9,7]=>[[1,3,4,5,6,7],[2,9],[8]]=>[2,6,1]
[2,1,3,4,5,6,7,9,8]=>[9,2,1,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2],[9]]=>[2,7]
[2,3,1,4,5,6,8,9,7]=>[8,2,3,1,4,5,6,9,7]=>[[1,3,4,5,6,7],[2,9],[8]]=>[2,6,1]
[1,3,2,4,5,6,8,9,7]=>[8,3,1,2,4,5,6,9,7]=>[[1,2,4,5,6,7],[3,9],[8]]=>[3,5,1]
[2,3,1,4,5,6,7,9,8]=>[9,2,3,1,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2],[9]]=>[2,7]
[2,1,3,4,5,6,7,8,10,9]=>[10,2,1,3,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2],[10]]=>[2,8]
[1,6,2,5,4,8,3,7]=>[6,5,1,4,2,3,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[6,7,2,3,8,4,5,1]=>[2,6,3,7,8,4,5,1]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[6,7,2,1,3,8,4,5]=>[2,6,1,7,8,3,4,5]=>[[1,3,4,5],[2,6,7,8]]=>[2,4,2]
[5,7,4,1,8,3,2,6]=>[5,4,7,3,8,1,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[4,1,7,5,8,3,6,2]=>[4,7,5,3,1,8,6,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[1,6,7,4,3,8,5,2]=>[6,7,8,4,1,3,5,2]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[6,1,7,4,2,8,5,3]=>[6,7,8,4,5,1,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[2,1,6,7,4,3,8,5]=>[6,7,8,2,1,4,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[6,7,3,2,1,8,4,5]=>[3,6,7,8,2,1,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[1,2,6,7,4,3,8,5]=>[6,7,8,1,2,4,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[2,7,5,8,1,6,3,4]=>[2,7,1,5,8,3,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[6,7,1,8,4,5,3,2]=>[6,7,1,8,4,5,3,2]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[8,3,7,6,1,2,5,4]=>[8,1,3,7,2,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[8,2,3,4,7,1,5,6]=>[2,3,4,1,5,8,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[8,7,4,6,5,2,3,1]=>[2,8,4,7,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[8,4,6,7,5,1,2,3]=>[1,2,6,4,8,7,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[8,4,6,7,5,1,3,2]=>[6,1,4,8,7,5,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[8,3,5,7,6,1,4,2]=>[3,8,5,1,7,6,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[8,7,3,6,2,1,5,4]=>[8,3,2,7,6,5,1,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[8,7,3,4,6,2,1,5]=>[3,4,2,8,7,6,1,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[8,6,5,2,7,4,3,1]=>[6,8,5,7,4,2,3,1]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[8,4,3,7,6,5,1,2]=>[1,8,7,4,6,3,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[8,4,2,7,5,1,6,3]=>[4,8,7,2,5,6,1,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[8,4,7,6,5,1,2,3]=>[1,2,8,7,4,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[8,6,2,4,7,3,1,5]=>[2,6,4,8,3,7,1,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[8,5,2,3,7,4,1,6]=>[5,2,3,8,7,4,1,6]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[8,5,3,2,7,6,4,1]=>[8,5,7,6,3,2,4,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[8,5,1,7,3,6,2,4]=>[1,5,8,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[8,6,1,5,4,3,2,7]=>[6,8,5,1,4,3,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[2,4,5,8,3,1,6,7]=>[4,2,5,3,1,8,6,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[2,7,4,6,1,5,8,3]=>[4,2,7,6,1,5,8,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[2,3,8,4,5,1,6,7]=>[2,3,4,8,5,1,6,7]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[6,8,2,4,5,3,1,7]=>[4,2,6,5,8,3,1,7]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[7,8,3,2,5,4,6,1]=>[3,7,5,8,2,4,6,1]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[8,2,4,3,1,5,6,7]=>[2,4,3,8,1,5,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[1,7,3,5,8,4,6,2]=>[7,1,5,3,4,8,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[6,3,1,7,4,5,8,2]=>[3,6,7,4,1,5,8,2]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[7,2,1,6,4,8,5,3]=>[7,6,8,2,4,1,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[4,8,3,1,2,5,6,7]=>[1,4,3,2,5,8,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[6,5,4,8,2,3,1,7]=>[2,6,5,4,3,8,1,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[7,5,8,3,2,4,6,1]=>[3,5,7,2,8,4,6,1]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[8,7,2,1,4,6,5,3]=>[8,7,2,1,6,4,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[7,1,8,3,4,6,5,2]=>[7,3,1,8,6,4,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[4,1,5,3,8,6,2,7]=>[4,8,5,3,1,6,2,7]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[3,8,7,2,4,6,5,1]=>[8,3,2,7,4,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[4,6,5,1,8,3,2,7]=>[6,4,5,3,8,1,2,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[3,7,1,5,8,4,6,2]=>[3,7,5,1,4,8,6,2]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[3,8,4,1,2,5,6,7]=>[1,3,4,2,8,5,6,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[3,8,1,4,2,5,6,7]=>[3,1,4,2,8,5,6,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[2,1,8,4,3,5,6,7]=>[4,2,1,8,3,5,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[1,3,7,6,4,8,5,2]=>[7,6,8,3,1,4,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[1,2,7,5,8,4,6,3]=>[5,7,4,1,2,8,6,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[3,1,8,7,6,4,2,5]=>[3,8,7,6,4,1,2,5]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[3,1,8,7,5,4,2,6]=>[5,8,7,3,4,1,2,6]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[3,1,7,6,5,4,2,8]=>[7,6,5,3,4,1,2,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[4,7,1,6,5,3,2,8]=>[7,4,6,5,1,3,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[8,4,1,7,6,3,2,5]=>[4,8,3,7,6,1,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[6,4,1,8,5,3,2,7]=>[6,4,8,5,3,1,2,7]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[8,4,1,7,5,3,2,6]=>[4,8,5,7,3,1,2,6]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[8,5,6,1,4,3,2,7]=>[5,1,8,6,4,3,2,7]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[8,5,7,1,4,3,2,6]=>[5,1,8,4,7,3,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[5,7,6,1,4,3,2,8]=>[7,5,1,6,4,3,2,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[5,8,6,1,4,3,2,7]=>[5,8,1,6,4,3,2,7]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[8,7,5,1,4,3,2,6]=>[1,8,7,5,4,3,2,6]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[3,1,5,2,7,6,4,8]=>[7,5,3,6,1,2,4,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[8,6,1,7,2,5,3,4]=>[1,6,2,8,7,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,8,6,3,4,2,5,7]=>[1,3,8,6,4,2,5,7]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[3,1,6,4,5,2,7,8]=>[3,6,4,1,5,2,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[3,1,6,4,5,8,2,7]=>[3,6,4,1,5,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[3,1,6,4,5,7,8,2]=>[3,6,4,1,5,7,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[1,8,6,3,4,2,7,5]=>[8,1,6,7,3,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[4,6,7,3,2,1,8,5]=>[6,4,7,8,3,2,1,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[4,6,8,3,5,2,1,7]=>[4,3,6,5,8,2,1,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[6,2,3,7,5,1,8,4]=>[6,7,2,5,3,8,1,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[6,1,7,3,5,2,8,4]=>[6,7,1,5,3,8,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[7,6,3,8,4,5,2,1]=>[3,7,6,8,4,5,2,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[8,2,7,6,1,4,3,5]=>[2,8,1,7,4,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[5,2,7,8,1,4,3,6]=>[5,2,1,7,4,8,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[5,6,3,8,4,1,2,7]=>[1,5,6,3,8,4,2,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[4,6,7,3,5,1,8,2]=>[4,3,6,7,5,8,1,2]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[5,2,3,7,1,6,8,4]=>[5,2,7,3,1,6,8,4]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[8,7,5,3,1,6,4,2]=>[5,8,7,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[3,7,4,2,5,1,6,8]=>[3,4,7,2,5,1,6,8]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[1,4,7,8,5,2,3,6]=>[1,4,7,2,5,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[3,2,6,7,4,1,5,8]=>[3,6,2,4,7,1,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[6,7,3,5,1,8,4,2]=>[6,3,7,5,8,4,1,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[4,6,3,2,5,8,1,7]=>[4,3,6,2,5,1,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[2,6,8,7,4,1,3,5]=>[2,1,8,6,4,7,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[5,8,3,7,6,4,1,2]=>[1,8,5,7,3,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[6,5,1,7,2,4,8,3]=>[6,1,5,7,4,2,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[3,6,7,1,4,2,5,8]=>[3,1,6,4,7,2,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[8,1,2,7,5,4,3,6]=>[5,8,7,1,2,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[6,5,1,8,3,7,2,4]=>[1,6,5,8,3,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[8,1,5,3,2,6,4,7]=>[5,6,8,1,3,2,4,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[1,8,3,6,5,4,2,7]=>[6,8,5,1,3,4,2,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[7,6,1,5,4,3,2,8]=>[7,6,5,1,4,3,2,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[5,3,1,7,4,6,2,8]=>[5,3,7,4,1,6,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[1,8,7,5,3,2,6,4]=>[5,8,7,6,3,1,2,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[5,1,7,6,3,2,8,4]=>[7,5,6,8,3,1,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[4,7,6,2,5,1,3,8]=>[2,4,7,1,6,5,3,8]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[4,7,3,1,5,6,8,2]=>[4,3,7,1,5,6,8,2]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[7,8,1,5,4,2,3,6]=>[1,2,7,8,5,4,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[2,1,8,4,5,6,3,7]=>[2,8,1,4,5,6,3,7]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[2,7,5,1,4,6,3,8]=>[7,2,1,5,4,6,3,8]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[7,2,1,4,5,3,8,6]=>[7,8,2,1,4,5,3,6]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[4,2,5,6,1,3,7,8]=>[2,4,1,5,6,3,7,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[6,8,1,7,5,4,2,3]=>[1,6,8,7,5,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[7,6,3,1,2,8,5,4]=>[7,6,1,8,5,3,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[5,6,7,1,4,2,8,3]=>[5,6,1,7,4,8,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[6,3,5,7,1,4,2,8]=>[3,6,1,5,7,4,2,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[5,2,6,7,4,8,1,3]=>[2,5,6,1,7,4,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[5,7,6,1,3,4,8,2]=>[3,1,7,5,6,4,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[1,7,5,2,6,4,8,3]=>[5,7,6,4,1,2,8,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[7,1,3,6,8,2,4,5]=>[3,1,2,4,7,6,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[3,1,2,7,5,4,8,6]=>[7,8,5,1,3,2,4,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,7,2,8,4,3,5,6]=>[4,1,7,8,2,3,5,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[1,6,3,5,7,8,2,4]=>[1,6,3,2,5,7,8,4]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[7,6,4,1,8,3,2,5]=>[4,7,6,3,8,1,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[8,4,1,6,5,2,7,3]=>[4,8,6,5,7,1,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[1,5,3,4,7,8,2,6]=>[5,1,3,4,2,7,8,6]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[5,4,1,6,7,8,2,3]=>[1,5,4,6,2,7,8,3]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[5,1,4,6,7,8,2,3]=>[1,5,2,4,6,7,8,3]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[5,2,4,3,7,1,6,8]=>[5,2,4,3,1,7,6,8]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[6,1,5,4,8,3,2,7]=>[6,5,4,1,3,8,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[1,2,8,7,4,3,6,5]=>[8,4,7,6,1,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[1,6,4,3,7,8,2,5]=>[4,6,3,1,2,7,8,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[1,5,6,3,7,8,2,4]=>[1,5,6,3,2,7,8,4]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[1,5,2,4,3,8,7,6]=>[8,7,5,1,4,2,3,6]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[7,1,4,3,2,8,6,5]=>[7,8,6,4,1,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[7,8,6,5,4,3,2,9,1]=>[7,8,6,5,4,3,2,9,1]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,2]
[2,4,3,5,6,7,8,9,1]=>[4,2,3,5,6,7,8,9,1]=>[[1,3,5,6,7,8,9],[2],[4]]=>[2,2,5]
[2,3,8,4,7,5,6,1]=>[2,8,3,7,4,5,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[3,7,2,8,6,4,5,1]=>[3,7,8,2,6,4,5,1]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[3,7,4,6,2,5,8,1]=>[3,4,7,2,6,5,8,1]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[6,2,7,3,1,8,4,5]=>[2,6,7,8,3,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[6,3,7,5,8,2,4,1]=>[3,6,7,2,5,8,4,1]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[4,3,7,8,6,2,5,1]=>[4,7,3,2,8,6,5,1]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[3,8,1,7,5,2,4,6]=>[3,1,8,2,7,5,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[8,2,3,4,7,5,6,1]=>[2,8,3,4,5,7,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[2,6,7,3,8,5,1,4]=>[2,6,7,3,8,1,5,4]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[2,4,8,5,1,7,3,6]=>[2,8,4,5,1,7,3,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[2,8,3,5,1,6,4,7]=>[2,8,3,5,6,1,4,7]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[8,2,4,6,3,5,7,1]=>[4,2,3,6,8,5,7,1]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[3,4,6,2,5,7,8,1]=>[3,4,2,6,5,7,8,1]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[4,5,2,6,1,7,8,3]=>[4,5,6,2,7,1,8,3]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[2,5,4,8,3,7,1,6]=>[5,4,2,3,1,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[5,4,8,6,1,3,2,7]=>[1,8,5,4,6,3,2,7]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[5,7,4,2,8,6,3,1]=>[7,5,8,4,6,2,3,1]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[4,6,2,3,8,5,7,1]=>[6,2,4,3,8,5,7,1]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[3,7,2,4,5,6,8,1]=>[3,2,4,5,7,6,8,1]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[6,2,7,1,4,5,8,3]=>[6,2,1,4,7,5,8,3]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[5,2,7,1,3,8,6,4]=>[7,5,2,8,1,6,3,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[4,3,7,8,2,5,6,1]=>[4,3,2,5,7,8,6,1]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[4,3,5,8,2,7,1,6]=>[4,3,5,2,1,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[4,3,8,2,5,6,1,7]=>[4,3,2,5,6,8,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[3,8,1,2,4,7,5,6]=>[1,8,3,2,4,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[8,2,1,4,5,6,7,3]=>[4,2,1,5,8,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[7,3,1,2,5,6,4,8]=>[7,1,3,2,5,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[1,4,8,5,2,6,3,7]=>[4,5,8,1,6,2,3,7]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[1,5,2,4,6,3,8,7]=>[8,5,1,4,2,6,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[5,2,8,6,3,1,7,4]=>[5,8,6,7,2,3,1,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[8,6,3,2,5,7,1,4]=>[3,2,6,8,1,5,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[1,2,8,4,3,6,7,5]=>[8,4,1,6,2,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[1,8,3,2,4,6,7,5]=>[8,3,1,2,6,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[1,2,7,4,5,3,8,6]=>[7,8,1,4,2,5,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[1,7,3,2,6,8,4,5]=>[3,7,1,6,2,4,8,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[8,2,7,1,4,3,5,6]=>[2,1,8,4,3,7,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[7,2,1,3,6,8,4,5]=>[2,7,1,3,6,4,8,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[6,2,1,7,8,3,4,5]=>[2,1,6,7,3,4,8,5]=>[[1,3,4,5],[2,6,7,8]]=>[2,4,2]
[4,6,5,2,7,1,8,3]=>[6,4,5,7,2,8,1,3]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[7,4,2,6,3,1,8,5]=>[7,4,6,8,2,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[3,4,7,6,5,1,8,2]=>[7,6,3,4,5,8,1,2]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[4,7,8,2,6,5,3,1]=>[7,4,8,2,6,5,3,1]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[4,7,8,1,6,5,3,2]=>[7,4,8,6,1,5,3,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[3,6,7,1,5,4,2,8]=>[6,3,7,1,5,4,2,8]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[1,6,4,7,2,8,5,3]=>[6,7,4,8,1,5,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[1,4,7,6,3,8,5,2]=>[7,6,4,8,1,3,5,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[1,8,2,6,5,4,3,7]=>[6,8,5,1,4,2,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[1,8,4,2,7,6,3,5]=>[4,8,1,7,6,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[2,7,1,6,5,4,3,8]=>[7,6,5,2,1,4,3,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[8,7,2,6,5,4,3,1]=>[8,7,6,2,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>[2,6]
[7,4,2,8,1,6,3,5]=>[4,2,7,8,1,3,6,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[5,2,8,6,1,4,3,7]=>[2,8,5,6,1,4,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[8,3,7,1,5,4,2,6]=>[3,8,1,7,5,4,2,6]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[5,3,6,1,2,8,7,4]=>[8,5,1,6,3,7,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[4,6,5,1,2,8,7,3]=>[8,6,1,4,5,7,2,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[4,6,2,3,8,7,5,1]=>[8,6,2,4,7,3,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[3,2,7,4,8,6,5,1]=>[7,8,6,3,2,4,5,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[5,2,1,7,3,8,6,4]=>[7,5,8,6,2,1,3,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[6,1,2,8,5,4,3,7]=>[6,5,8,1,4,2,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[1,3,7,4,8,6,5,2]=>[7,8,6,3,1,4,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[2,4,1,8,7,3,6,5]=>[8,4,7,2,1,6,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[2,8,5,1,7,3,6,4]=>[8,2,5,7,1,6,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[3,5,1,7,2,6,4,8]=>[5,3,7,1,6,2,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[2,8,1,5,4,3,7,6]=>[8,5,7,2,1,4,3,6]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[2,8,6,1,5,4,3,7]=>[6,8,2,5,1,4,3,7]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[8,4,6,1,5,3,2,7]=>[4,6,8,1,5,3,2,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[7,3,8,6,1,5,4,2]=>[7,3,8,6,5,1,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[3,5,1,7,8,2,6,4]=>[5,3,7,1,8,2,6,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[3,7,8,6,1,5,4,2]=>[7,3,8,6,1,5,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[7,8,4,6,1,5,3,2]=>[4,7,8,1,6,5,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[5,4,7,8,2,1,6,3]=>[5,4,7,2,8,6,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[5,4,6,8,3,2,1,7]=>[5,4,6,3,8,2,1,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[6,4,5,8,3,2,1,7]=>[4,6,5,3,8,2,1,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[7,4,5,8,2,1,6,3]=>[4,5,7,8,2,6,1,3]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[5,4,7,2,1,6,3,8]=>[5,4,7,2,6,1,3,8]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[8,5,4,7,2,1,6,3]=>[5,4,8,7,2,6,1,3]=>[[1,3],[2,6],[4,7],[5,8]]=>[2,3,3]
[5,7,4,8,2,1,6,3]=>[5,4,7,8,2,6,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[4,7,5,8,2,1,6,3]=>[4,7,5,8,2,6,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[3,6,1,7,2,8,5,4]=>[6,7,3,8,5,1,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[5,7,4,2,6,3,8,1]=>[5,4,7,6,2,3,8,1]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[5,7,4,1,6,2,8,3]=>[5,4,7,6,8,1,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[7,8,3,1,5,2,6,4]=>[5,3,7,8,6,1,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[8,3,4,1,7,5,2,6]=>[3,8,4,5,7,1,2,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[6,8,7,3,1,4,2,5]=>[3,4,8,6,7,1,2,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[8,5,6,1,7,3,2,4]=>[3,5,6,8,7,1,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[4,5,1,6,7,8,3,2]=>[4,5,6,7,1,8,3,2]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[5,6,8,2,1,7,3,4]=>[2,5,6,8,1,7,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[4,5,2,6,1,3,8,7]=>[8,2,4,5,1,6,3,7]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[4,6,2,3,5,7,8,1]=>[2,4,3,6,5,7,8,1]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[8,2,3,7,1,5,4,6]=>[2,8,3,1,5,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,4,6,7,2,5,1,3]=>[2,4,1,6,8,7,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[3,4,6,7,2,5,8,1]=>[3,4,2,6,7,5,8,1]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[7,1,4,6,8,3,5,2]=>[4,3,1,7,6,8,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[7,8,2,6,1,4,5,3]=>[4,2,1,7,8,6,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[7,5,8,2,1,3,6,4]=>[5,2,7,8,1,6,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[6,7,1,2,4,8,5,3]=>[6,7,1,2,8,4,5,3]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[1,6,3,4,7,8,5,2]=>[6,7,1,3,4,8,5,2]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[2,3,6,4,7,5,8,1]=>[6,7,2,3,4,5,8,1]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[2,5,3,7,4,6,8,1]=>[5,2,7,3,4,6,8,1]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[7,4,8,1,3,5,6,2]=>[4,1,3,7,5,8,6,2]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[4,2,7,3,5,6,8,1]=>[4,2,3,7,5,6,8,1]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[7,8,1,3,4,5,6,2]=>[3,1,4,5,7,8,6,2]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[8,7,2,4,5,6,1,3]=>[2,1,4,5,8,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[1,8,2,6,7,3,4,5]=>[1,2,8,3,4,6,7,5]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[4,7,3,2,8,1,5,6]=>[4,3,2,7,1,5,8,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[5,1,4,6,2,3,8,7]=>[8,1,5,2,4,6,3,7]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[6,1,4,5,2,3,8,7]=>[8,1,4,2,6,5,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[7,1,2,5,6,8,3,4]=>[1,5,2,3,7,6,8,4]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[7,8,4,1,2,6,3,5]=>[4,1,2,7,8,6,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[4,8,6,3,1,2,7,5]=>[8,1,4,6,7,3,2,5]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[7,4,3,1,6,2,8,5]=>[7,4,6,3,8,1,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[7,4,3,1,8,6,2,5]=>[4,7,8,3,1,6,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[3,7,6,2,4,8,1,5]=>[3,2,7,4,6,1,8,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[4,3,7,2,8,6,1,5]=>[4,7,3,2,8,1,6,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[7,1,2,8,6,3,5,4]=>[7,1,8,6,2,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[6,1,2,7,4,3,8,5]=>[6,7,8,1,4,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[5,1,2,7,3,8,6,4]=>[7,5,8,1,6,2,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[6,1,2,7,3,5,8,4]=>[6,1,7,2,5,3,8,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[6,1,2,8,3,5,7,4]=>[6,1,8,2,3,5,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[7,5,3,2,1,8,6,4]=>[7,8,5,6,3,2,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[4,2,1,5,3,6,7,8]=>[4,5,2,1,3,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[6,4,3,2,1,7,5,8,9]=>[6,7,4,3,2,1,5,8,9]=>[[1,5,8,9],[2,7],[3],[4],[6]]=>[4,2,3]
[6,2,1,7,3,8,4,9,5]=>[6,7,8,9,2,1,3,4,5]=>[[1,3,4,5],[2,7,8,9],[6]]=>[2,4,3]
[4,2,1,5,3,6,7,8,9]=>[4,5,2,1,3,6,7,8,9]=>[[1,3,6,7,8,9],[2,5],[4]]=>[2,2,5]
[3,1,4,2,5,6,7,8,9]=>[3,4,1,2,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[8,5,3,1,9,6,4,2,10,7]=>[8,9,10,5,6,3,4,1,2,7]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>[3,2,3,2]
[6,2,5,4,1,8,7,3]=>[8,6,5,2,4,7,1,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[6,5,3,2,1,8,7,4]=>[8,6,5,7,3,2,1,4]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[8,4,3,2,7,6,1,5]=>[4,8,3,7,2,1,6,5]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[1,5,8,4,7,6,3,2]=>[8,5,4,7,1,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[7,4,3,2,8,6,1,5]=>[4,7,8,3,2,1,6,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[6,8,3,7,5,2,1,4]=>[3,6,8,2,7,5,1,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[5,7,8,4,3,2,1,6]=>[5,4,7,8,3,2,1,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[8,2,5,4,7,6,1,3]=>[2,8,1,7,5,4,6,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[7,2,5,4,8,6,1,3]=>[2,7,8,1,5,4,6,3]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[4,5,3,2,8,6,1,7]=>[4,8,5,3,2,6,1,7]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[3,2,5,4,8,6,1,7]=>[5,8,3,2,4,6,1,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[3,2,8,6,5,4,1,7]=>[6,8,5,3,2,4,1,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[8,4,3,6,5,2,1,7]=>[4,8,6,3,5,2,1,7]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[8,4,3,7,5,2,1,6]=>[4,8,3,7,5,2,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[3,2,7,8,5,4,1,6]=>[3,7,8,2,5,4,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[2,3,1,8,5,7,4,6]=>[2,8,5,3,1,4,7,6]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[3,6,1,4,8,7,2,5]=>[3,8,1,6,4,2,7,5]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[6,3,2,1,8,7,4,5]=>[3,8,6,7,2,1,4,5]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[6,2,3,1,8,7,4,5]=>[2,8,6,3,7,1,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[5,6,7,1,3,8,4,2]=>[5,6,1,7,8,3,4,2]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[7,2,5,1,8,3,6,4]=>[7,2,5,8,1,6,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[8,2,5,1,7,3,6,4]=>[5,8,2,1,7,6,3,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[4,2,8,1,7,5,6,3]=>[4,8,5,2,1,7,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[7,3,1,5,2,8,6,4]=>[7,8,3,5,6,1,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[7,1,6,4,2,8,5,3]=>[7,6,8,4,1,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[3,7,4,1,5,8,6,2]=>[7,3,8,4,5,1,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[5,8,6,1,2,7,4,3]=>[5,8,1,6,7,4,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[6,7,1,4,3,8,5,2]=>[6,7,8,1,4,3,5,2]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[6,8,1,2,4,7,5,3]=>[6,8,1,2,4,7,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[8,6,4,1,3,7,5,2]=>[6,8,1,7,4,3,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[8,6,3,4,1,7,5,2]=>[6,3,8,7,4,5,1,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[8,5,3,6,1,7,4,2]=>[5,8,3,6,7,4,1,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[8,6,2,1,4,7,5,3]=>[6,8,2,7,4,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[7,2,1,4,5,8,6,3]=>[7,8,2,1,4,5,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[8,6,1,4,5,7,3,2]=>[4,6,1,8,5,7,3,2]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[8,6,2,5,4,7,3,1]=>[8,2,6,5,4,7,3,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[8,2,6,3,5,4,7,1]=>[2,8,6,3,5,4,7,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[8,7,2,3,4,6,5,1]=>[8,2,3,4,7,6,5,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[4,6,1,3,8,7,2,5]=>[4,8,1,3,6,2,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[5,6,8,2,1,7,4,3]=>[5,6,8,7,2,4,1,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[1,4,7,2,8,6,5,3]=>[7,8,4,6,1,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[6,4,8,5,1,3,2,7]=>[6,1,4,8,5,3,2,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[1,6,7,8,5,2,4,3]=>[6,1,7,8,2,5,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[8,1,2,5,4,7,6,3]=>[8,7,1,5,2,4,6,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[8,1,2,4,5,6,7,3]=>[4,1,2,5,6,8,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[6,1,4,3,2,7,8,5]=>[6,7,4,1,3,2,8,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[8,7,5,3,1,6,2,4]=>[3,5,8,7,1,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[8,5,6,3,2,1,7,4]=>[5,6,8,7,3,2,1,4]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[1,8,3,6,7,2,4,5]=>[3,1,2,4,8,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[3,1,8,6,4,2,5,7]=>[3,6,8,4,1,2,5,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[1,2,8,3,7,4,6,5]=>[8,1,7,2,6,3,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[8,1,3,7,4,5,2,6]=>[1,8,3,4,5,7,2,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[8,2,7,4,3,5,6,1]=>[2,4,8,7,3,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[8,2,6,5,4,3,1,7]=>[6,8,5,2,4,3,1,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[8,2,7,6,4,5,3,1]=>[8,2,7,4,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[8,6,3,5,4,2,1,7]=>[3,8,6,5,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[3,3,2]
[4,6,7,2,1,8,3,5]=>[4,2,6,7,8,1,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[4,5,8,1,3,6,7,2]=>[4,1,5,3,6,8,7,2]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[3,7,1,8,2,5,4,6]=>[3,7,1,5,8,2,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[4,5,8,6,2,7,3,1]=>[4,8,5,6,7,2,3,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[4,6,7,1,5,3,8,2]=>[4,6,7,1,5,3,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[4,6,7,2,1,8,5,3]=>[6,4,7,8,5,2,1,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[4,1,3,5,6,7,8,2]=>[4,1,3,5,6,7,8,2]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[3,7,8,4,5,1,6,2]=>[3,4,7,5,8,6,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[4,6,8,3,2,7,1,5]=>[4,3,6,2,8,1,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,6,8,2,3,7,1,5]=>[2,4,3,6,1,8,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[4,5,8,3,7,1,2,6]=>[1,4,5,3,2,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[4,6,7,1,5,8,2,3]=>[1,4,6,2,7,5,8,3]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[3,6,1,5,7,8,2,4]=>[3,1,6,2,5,7,8,4]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[3,8,6,2,5,1,7,4]=>[8,3,2,6,5,7,1,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[4,5,8,6,1,2,7,3]=>[4,1,8,5,6,7,2,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[4,6,8,5,3,1,7,2]=>[6,4,5,8,3,7,1,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[6,3,2,4,7,8,1,5]=>[3,2,6,4,1,7,8,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[2,8,1,5,7,4,6,3]=>[5,4,2,1,8,7,6,3]=>[[1,3],[2,6],[4,7],[5,8]]=>[2,3,3]
[6,3,4,5,2,8,1,7]=>[3,4,6,5,2,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[4,5,6,8,3,7,1,2]=>[1,4,5,6,3,8,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[2,5,3,7,8,4,1,6]=>[5,2,7,3,4,8,1,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[5,1,3,7,6,4,8,2]=>[7,5,6,1,3,4,8,2]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[4,6,5,2,7,8,1,3]=>[2,6,4,5,1,7,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[1,6,5,2,3,4,8,7]=>[8,1,2,6,5,3,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[5,7,3,1,2,4,8,6]=>[7,1,3,5,8,2,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[6,3,2,5,1,7,4,8]=>[6,3,5,2,7,1,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[6,1,2,4,8,5,3,7]=>[6,1,8,2,4,5,3,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[6,7,1,4,8,5,2,3]=>[1,6,7,2,8,4,5,3]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[6,3,1,7,2,5,8,4]=>[6,3,7,1,5,2,8,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[3,8,1,6,7,2,5,4]=>[6,3,1,8,2,7,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[4,5,7,6,3,8,1,2]=>[1,7,4,5,6,3,8,2]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[3,7,2,8,5,1,4,6]=>[3,2,7,1,8,5,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[1,6,5,3,7,8,4,2]=>[6,5,7,3,1,8,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[1,2,3,4,5,6,8,7,9]=>[8,1,2,3,4,5,6,7,9]=>[[1,2,3,4,5,6,7,9],[8]]=>[8,1]
[1,2,3,4,5,6,7,9,8,10]=>[9,1,2,3,4,5,6,7,8,10]=>[[1,2,3,4,5,6,7,8,10],[9]]=>[9,1]
[9,2,3,4,5,6,7,1,8]=>[2,3,4,5,6,7,9,1,8]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,7]
[1,4,5,2,8,6,3,7]=>[4,8,5,1,6,2,3,7]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[1,3,5,8,6,4,7,2]=>[5,8,3,1,6,4,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[1,3,5,8,6,7,2,4]=>[1,8,3,2,5,6,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[8,4,5,1,3,7,2,6]=>[4,1,5,3,8,2,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[7,8,1,4,6,5,3,2]=>[7,4,8,1,6,5,3,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[7,8,6,1,4,5,3,2]=>[4,7,1,8,6,5,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[7,8,6,4,1,3,5,2]=>[4,1,7,8,6,3,5,2]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[6,2,7,3,8,5,4,1]=>[6,7,8,5,2,3,4,1]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[6,7,3,4,8,1,5,2]=>[3,4,6,7,8,1,5,2]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[1,2,7,5,3,4,8,6]=>[7,1,8,5,2,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[6,2,7,8,3,1,4,5]=>[2,3,6,7,1,8,4,5]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[1,7,8,2,5,3,4,6]=>[1,2,7,3,8,5,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[1,2,8,7,3,4,6,5]=>[8,1,2,7,6,3,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[8,7,6,2,4,3,5,1]=>[2,8,4,7,6,3,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[8,2,7,4,5,1,6,3]=>[4,2,8,5,7,6,1,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[8,5,2,6,1,7,4,3]=>[5,8,6,2,7,4,1,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[7,5,4,8,6,1,2,3]=>[1,2,7,8,5,4,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[1,5,7,8,3,4,2,6]=>[5,1,3,4,7,8,2,6]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,4,1,3,7,5,6,2]=>[8,1,4,3,7,5,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[4,8,1,3,7,5,6,2]=>[8,1,4,3,5,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[7,5,4,3,1,2,8,6]=>[7,1,8,5,4,3,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[6,2,5,4,8,1,7,3]=>[6,5,2,4,8,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[1,8,5,7,4,2,3,6]=>[1,5,8,2,4,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[5,4,1,3,8,6,7,2]=>[8,1,5,4,3,6,7,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[4,5,1,3,8,6,7,2]=>[8,1,4,5,3,6,7,2]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[1,2,6,8,5,3,4,7]=>[1,6,2,8,3,5,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[6,7,5,3,8,1,2,4]=>[1,3,6,7,5,2,8,4]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[5,7,8,6,3,1,2,4]=>[1,3,7,5,8,6,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[5,1,4,2,6,8,7,3]=>[8,5,4,1,6,2,7,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[6,3,2,4,7,1,8,5]=>[6,3,7,2,4,8,1,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[1,5,6,8,4,2,3,7]=>[1,5,6,2,4,8,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[4,8,1,2,5,7,6,3]=>[8,4,1,5,2,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[1,5,8,6,2,4,3,7]=>[1,8,5,6,2,4,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[5,1,8,6,2,4,3,7]=>[1,8,5,6,4,2,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[5,8,6,3,7,1,2,4]=>[1,3,5,8,6,2,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[5,7,6,8,3,1,2,4]=>[1,3,7,5,6,8,2,4]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[6,8,7,5,3,1,2,4]=>[1,3,8,6,7,5,2,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[2,5,6,3,7,1,8,4]=>[5,6,2,7,3,8,1,4]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[7,1,4,6,2,8,3,5]=>[4,1,7,2,6,8,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[6,8,7,2,1,5,3,4]=>[2,8,1,6,7,5,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[7,3,6,1,4,8,2,5]=>[3,1,7,4,6,2,8,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[7,8,1,6,5,3,4,2]=>[7,1,8,3,6,5,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[8,7,3,2,1,4,6,5]=>[8,3,2,7,6,1,4,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[8,3,5,1,7,4,2,6]=>[5,3,4,8,7,1,2,6]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[6,7,5,1,8,4,2,3]=>[1,6,7,5,8,4,2,3]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[8,2,6,1,7,5,3,4]=>[2,6,8,1,7,5,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[3,5,6,8,4,2,7,1]=>[5,3,6,4,8,2,7,1]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[2,5,4,1,6,8,7,3]=>[8,5,4,2,6,1,7,3]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[4,6,8,2,1,3,7,5]=>[6,2,4,8,1,7,3,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[6,8,1,5,3,2,7,4]=>[6,8,1,5,7,3,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[1,7,2,3,5,8,6,4]=>[7,8,1,2,5,3,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[4,6,2,3,5,1,7,8]=>[2,4,3,6,5,1,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[6,4,8,7,2,1,5,3]=>[4,8,6,7,2,5,1,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[1,8,2,3,7,5,6,4]=>[8,1,7,2,3,5,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[7,2,4,6,3,8,1,5]=>[4,2,3,7,6,1,8,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[2,8,3,1,4,7,6,5]=>[8,7,2,3,6,1,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[6,4,7,2,8,3,5,1]=>[4,6,2,7,8,3,5,1]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[3,8,1,6,4,7,2,5]=>[3,1,8,6,4,2,7,5]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[7,3,2,5,6,1,8,4]=>[7,3,2,5,6,8,1,4]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[1,6,7,8,2,4,3,5]=>[1,6,2,7,4,8,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[4,1,2,8,5,3,7,6]=>[8,4,7,1,5,2,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[3,8,4,2,7,5,6,1]=>[3,8,4,7,2,5,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[2,6,3,1,4,5,7,8]=>[2,3,6,1,4,5,7,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[1,8,5,6,4,3,2,7]=>[5,8,6,1,4,3,2,7]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[2,8,3,5,6,4,1,7]=>[2,8,3,5,6,4,1,7]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[4,1,5,7,6,8,2,3]=>[1,7,4,5,2,6,8,3]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[7,6,8,3,2,5,1,4]=>[3,2,7,6,8,1,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[4,6,1,7,5,2,3,8]=>[1,6,4,7,5,2,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[2,7,1,4,5,3,8,6]=>[7,4,2,1,8,5,3,6]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[1,5,2,7,4,3,6,8]=>[5,4,7,1,2,3,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[5,1,3,8,4,6,2,7]=>[5,3,1,4,8,6,2,7]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[6,5,8,7,1,3,2,4]=>[1,8,3,6,5,7,2,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[1,3,6,5,2,7,4,8]=>[6,5,3,1,7,2,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[1,7,2,5,6,8,3,4]=>[1,7,2,3,5,6,8,4]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[1,7,2,4,8,3,5,6]=>[1,4,7,2,3,5,8,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[1,4,8,2,3,7,5,6]=>[1,8,4,2,3,5,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[1,3,2,8,4,5,7,6]=>[8,3,1,7,2,4,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[1,6,8,2,4,3,5,7]=>[1,6,2,4,8,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[1,6,7,2,5,3,4,8]=>[1,6,2,7,3,5,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[1,8,2,3,6,7,4,5]=>[1,8,2,3,4,6,7,5]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[1,2,8,3,6,7,4,5]=>[1,8,2,3,6,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,3,4,8,2,6,7,5]=>[6,3,1,4,2,8,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[1,7,2,5,3,4,8,6]=>[7,1,8,2,5,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[1,6,2,3,5,4,7,8]=>[6,1,2,5,3,4,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[10,3,4,5,6,7,8,9,1,2]=>[1,3,4,5,6,7,8,10,9,2]=>[[1,2,4,5,6,7,8,9],[3],[10]]=>[3,7]
[7,2,6,1,3,4,8,5]=>[7,2,1,3,6,8,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[4,1,3,7,2,5,8,6]=>[7,4,1,3,2,8,5,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[6,2,7,5,1,3,8,4]=>[6,2,7,5,1,8,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[1,7,5,6,2,3,8,4]=>[7,1,5,2,6,8,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[3,7,6,1,2,4,8,5]=>[7,1,3,6,2,8,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[8,6,1,3,5,7,2,4]=>[3,1,2,6,8,5,7,4]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[1,7,4,3,8,2,5,6]=>[4,3,7,1,2,5,8,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[3,6,7,5,2,8,1,4]=>[3,6,2,7,5,1,8,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[7,8,4,1,5,6,2,3]=>[1,4,7,2,8,5,6,3]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[5,8,1,3,6,7,2,4]=>[1,5,3,2,6,8,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[3,8,4,6,7,1,2,5]=>[1,3,4,2,8,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[6,3,8,4,7,1,2,5]=>[1,3,6,4,8,2,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[3,5,4,7,8,1,2,6]=>[1,5,3,4,2,7,8,6]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,3,1,4,7,2,5,6]=>[3,1,4,8,2,5,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[1,6,4,7,8,2,3,5]=>[1,4,6,2,3,7,8,5]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[5,2,3,6,7,8,1,4]=>[2,3,5,1,6,7,8,4]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[8,1,7,4,6,2,3,5]=>[1,2,8,4,3,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[2,5,8,4,7,1,3,6]=>[2,5,1,4,3,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[4,5,8,7,1,2,3,6]=>[1,2,4,8,5,3,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[4,1,8,5,7,2,3,6]=>[1,4,5,8,2,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[6,2,5,1,4,8,3,7]=>[6,2,1,5,4,3,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[6,5,4,1,3,8,2,7]=>[6,1,5,4,3,2,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[6,3,5,4,2,8,1,7]=>[6,3,5,4,2,1,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[8,2,5,1,4,6,7,3]=>[5,2,1,4,8,6,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[8,3,1,7,5,6,4,2]=>[8,3,7,5,1,6,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[8,4,7,6,5,3,1,2]=>[1,8,7,4,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[2,4,1,8,5,7,6,3]=>[8,7,2,4,5,1,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[8,2,1,4,7,6,3,5]=>[2,8,7,1,4,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[8,3,1,7,4,2,6,5]=>[8,3,7,4,6,1,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[8,2,7,3,1,6,5,4]=>[8,7,2,6,3,5,1,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[1,8,4,2,3,7,6,5]=>[8,7,1,4,6,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[3,1,2,8,7,4,6,5]=>[8,1,7,6,3,2,4,5]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[8,5,1,2,4,3,7,6]=>[8,1,7,2,5,4,3,6]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[2,3,1,8,7,6,4,5]=>[2,8,7,6,3,1,4,5]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[4,2,8,7,3,1,5,6]=>[4,2,8,3,7,1,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[3,4,8,2,6,7,1,5]=>[3,4,2,1,6,8,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[8,4,2,1,7,5,6,3]=>[4,8,7,2,5,1,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[2,8,1,5,7,6,3,4]=>[2,8,5,1,3,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[3,1,8,2,7,5,6,4]=>[8,3,7,1,2,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[8,5,7,1,6,4,2,3]=>[1,5,8,7,2,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[8,4,7,2,1,6,5,3]=>[8,4,7,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[1,8,4,7,6,5,2,3]=>[1,8,7,6,2,4,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[3,5,8,1,7,4,6,2]=>[5,3,8,1,4,7,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[8,4,7,1,3,6,5,2]=>[8,4,1,3,7,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[3,8,1,2,5,6,4,7]=>[5,1,3,2,6,8,4,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[8,5,2,1,4,6,7,3]=>[5,2,8,1,4,6,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[2,7,3,1,6,5,8,4]=>[7,6,2,5,3,1,8,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[7,1,2,4,6,5,8,3]=>[7,4,1,2,6,5,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[5,7,1,2,6,8,4,3]=>[5,7,1,6,2,8,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[5,8,2,6,4,1,7,3]=>[5,8,2,6,4,7,1,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[8,7,3,4,1,6,2,5]=>[3,4,1,8,7,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[2,7,4,3,8,6,1,5]=>[4,7,8,2,3,1,6,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[2,7,6,3,1,5,4,8]=>[7,2,6,5,3,1,4,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[3,7,4,2,8,1,6,5]=>[7,3,8,4,2,1,6,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[2,8,6,4,7,3,1,5]=>[4,6,8,2,3,7,1,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[5,2,7,8,6,1,4,3]=>[7,2,5,8,1,6,4,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[3,8,2,4,1,5,7,6]=>[8,3,2,4,1,7,5,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[5,8,3,2,4,1,7,6]=>[8,3,5,2,7,4,1,6]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[7,2,6,8,4,3,5,1]=>[2,7,6,4,8,3,5,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[6,5,3,2,4,8,1,7]=>[3,6,5,2,4,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[3,6,2,1,4,5,7,8]=>[3,2,1,6,4,5,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[7,2,3,4,6,8,1,5]=>[2,3,4,1,7,6,8,5]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[8,3,4,6,7,5,1,2]=>[1,6,3,4,8,7,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[5,8,6,1,3,4,7,2]=>[3,1,5,8,6,4,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[4,8,1,5,7,6,3,2]=>[8,4,5,7,1,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[3,7,4,6,8,2,5,1]=>[3,4,7,2,6,8,5,1]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[4,7,1,6,8,3,2,5]=>[4,1,7,6,3,8,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[3,7,5,2,8,6,1,4]=>[3,7,8,2,5,1,6,4]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[4,8,5,2,6,7,1,3]=>[2,4,5,8,1,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[5,4,8,6,1,2,7,3]=>[5,1,8,4,6,7,2,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[8,4,6,5,2,7,3,1]=>[4,8,6,5,7,2,3,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[8,2,5,7,4,1,3,6]=>[2,5,1,4,8,7,3,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[7,1,3,5,6,2,8,4]=>[5,3,1,7,6,8,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[7,1,5,8,4,6,3,2]=>[7,5,1,4,8,6,3,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[6,3,8,4,7,1,5,2]=>[3,6,4,8,7,1,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[7,1,4,3,2,8,5,6]=>[4,7,8,1,3,2,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[7,1,8,3,5,2,4,6]=>[1,3,7,2,8,5,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[6,4,2,5,8,1,7,3]=>[4,6,5,2,8,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[2,1,7,5,8,3,6,4]=>[5,7,8,2,1,3,6,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[7,3,8,5,6,2,1,4]=>[3,2,7,8,5,6,1,4]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[2,7,4,8,1,5,6,3]=>[4,2,7,5,1,8,6,3]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[4,8,5,3,7,2,1,6]=>[4,5,8,3,2,7,1,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[7,4,8,6,5,3,2,1]=>[7,8,6,4,5,3,2,1]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[4,3,1]
[7,3,1,8,2,5,6,4]=>[7,3,1,8,2,5,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[7,2,3,8,1,5,6,4]=>[7,2,3,1,5,8,6,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[6,4,8,7,3,2,1,5]=>[4,8,6,3,7,2,1,5]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[6,4,8,2,3,1,7,5]=>[6,2,8,4,3,7,1,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[5,1,6,2,3,8,7,4]=>[8,5,1,6,7,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[5,1,6,3,8,2,4,7]=>[3,5,6,1,2,4,8,7]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[6,7,1,5,8,3,4,2]=>[6,1,3,7,5,8,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[6,7,4,1,8,3,5,2]=>[4,6,7,8,1,3,5,2]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[7,3,6,2,8,4,1,5]=>[3,7,2,6,8,4,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[7,5,1,8,6,4,2,3]=>[1,7,8,5,6,4,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[6,5,1,8,4,7,2,3]=>[1,6,5,8,2,4,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[6,5,1,8,4,2,7,3]=>[6,5,4,8,7,1,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[7,5,4,8,1,2,6,3]=>[5,1,7,4,8,2,6,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[3,4,8,6,7,5,1,2]=>[1,8,3,6,4,7,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[3,5,6,8,1,4,2,7]=>[3,5,1,6,4,8,2,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[6,1,5,8,7,2,3,4]=>[1,2,8,6,3,5,7,4]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[3,4,8,5,1,7,6,2]=>[8,3,7,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[3,5,4,8,2,7,1,6]=>[5,3,4,2,1,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[4,3,5,8,2,1,6,7]=>[4,3,5,2,1,8,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[4,3,5,8,2,6,1,7]=>[4,3,5,2,6,8,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[6,2,7,1,5,3,4,8]=>[2,6,1,7,3,5,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[6,8,1,5,4,2,7,3]=>[6,8,1,5,4,7,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[7,8,6,3,1,4,2,5]=>[3,4,7,8,6,1,2,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[7,2,8,5,4,6,3,1]=>[5,7,8,4,2,6,3,1]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[6,1,8,4,7,2,3,5]=>[1,2,6,8,4,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[5,6,4,3,7,1,8,2]=>[5,6,4,3,7,8,1,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[6,5,3,8,1,7,4,2]=>[6,5,8,3,7,1,4,2]=>[[1,2],[3,4],[5,7],[6,8]]=>[3,3,2]
[5,4,2,3,8,6,7,1]=>[2,8,5,4,3,6,7,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[6,2,8,7,5,3,4,1]=>[2,8,6,7,5,3,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[6,1,8,3,2,5,7,4]=>[6,3,8,1,5,2,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[6,1,7,8,3,2,4,5]=>[1,3,6,7,8,2,4,5]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[4,1,2,6,8,3,7,5]=>[6,4,1,8,2,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[6,1,7,4,8,2,5,3]=>[4,6,7,8,1,2,5,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[7,1,3,6,5,8,4,2]=>[7,6,3,1,5,8,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[5,1,7,4,6,8,2,3]=>[1,5,7,2,4,6,8,3]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[5,7,4,3,6,8,2,1]=>[5,4,7,3,6,8,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[5,1,4,3,6,7,2,8]=>[5,4,1,3,6,7,2,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[5,4,2,3,6,8,7,1]=>[8,2,5,4,3,6,7,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[4,6,2,7,8,3,5,1]=>[4,2,6,7,3,8,5,1]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[5,1,2,4,6,7,8,3]=>[5,1,2,4,6,7,8,3]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[5,6,3,4,8,2,7,1]=>[3,5,6,4,2,8,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[5,2,6,4,1,7,8,3]=>[5,6,4,2,7,1,8,3]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,4,3,8,6,2,7,1]=>[5,8,4,3,6,2,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[6,4,7,8,2,3,5,1]=>[2,4,6,3,7,8,5,1]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[3,7,5,2,4,8,1,6]=>[3,2,7,5,4,1,8,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[4,7,5,2,3,8,6,1]=>[7,2,8,4,5,3,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[6,4,7,3,2,5,8,1]=>[4,6,3,7,2,5,8,1]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[5,7,3,2,8,4,6,1]=>[5,3,7,8,2,4,6,1]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[5,3,7,2,8,4,6,1]=>[5,3,7,2,8,4,6,1]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[4,3,7,2,5,8,6,1]=>[7,4,3,2,8,5,6,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[4,7,3,2,5,8,6,1]=>[7,4,3,8,2,5,6,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[8,5,2,6,7,3,4,1]=>[2,5,8,3,6,7,4,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[8,4,2,6,3,7,5,1]=>[6,4,8,7,2,3,5,1]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[7,5,6,2,8,3,4,1]=>[2,5,7,6,8,3,4,1]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[7,6,4,2,5,8,3,1]=>[4,7,6,5,2,8,3,1]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[7,8,2,5,1,3,6,4]=>[5,2,1,7,8,6,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[8,7,2,5,4,1,6,3]=>[8,2,5,7,4,6,1,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[1,3,2,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3]]=>[3,6]
[1,9,2,8,3,7,4,6,5]=>[9,1,8,2,7,3,6,4,5]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>[9]
[1,3,2,4,5,6,7,8,9,10]=>[3,1,2,4,5,6,7,8,9,10]=>[[1,2,4,5,6,7,8,9,10],[3]]=>[3,7]
[1,6,2,7,3,8,4,9,5,10]=>[6,7,8,9,1,2,3,4,5,10]=>[[1,2,3,4,5,10],[6,7,8,9]]=>[6,4]
[2,4,6,3,8,7,5,1]=>[8,6,4,2,7,3,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[2,4,6,5,8,7,1,3]=>[2,8,6,1,4,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[2,4,6,8,5,7,1,3]=>[2,6,1,4,5,8,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[2,4,6,8,1,7,3,5]=>[4,2,1,6,8,3,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[2,4,6,5,8,3,7,1]=>[6,4,2,5,3,8,7,1]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[2,4,6,5,8,1,7,3]=>[6,4,2,5,8,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[2,4,6,8,7,1,5,3]=>[8,2,4,6,1,7,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[2,4,6,8,5,1,3,7]=>[2,6,1,4,5,8,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[2,4,6,5,1,8,3,7]=>[6,4,2,5,1,8,3,7]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[2,4,6,5,1,3,8,7]=>[8,2,6,1,4,5,3,7]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[2,4,6,8,7,3,1,5]=>[4,8,2,3,6,7,1,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[4,8,7,5,2,1,3,6]=>[2,4,8,7,5,1,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[1,8,6,5,3,2,7,4]=>[6,8,5,7,3,1,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[4,6,1,7,8,5,3,2]=>[6,4,7,8,5,1,3,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[6,1,3,2,7,8,5,4]=>[6,7,8,1,3,2,5,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[4,8,3,7,1,6,5,2]=>[8,4,3,7,1,6,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[8,7,2,6,5,1,4,3]=>[8,2,7,1,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[7,8,2,6,5,4,1,3]=>[2,7,8,1,6,5,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[3,8,7,6,2,5,1,4]=>[3,2,8,7,1,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[4,8,3,7,2,1,6,5]=>[8,4,3,2,7,6,1,5]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[8,6,3,1,7,5,4,2]=>[6,8,7,5,3,4,1,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[8,6,3,7,1,5,4,2]=>[6,3,8,7,5,1,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[4,8,3,7,6,2,5,1]=>[4,8,3,2,7,6,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[8,4,2,1,7,6,5,3]=>[8,7,4,6,5,2,1,3]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[1,8,6,2,3,7,4,5]=>[1,6,2,8,7,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,5,2,8,6,3,4,7]=>[1,5,8,6,2,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[1,3,8,4,2,5,6,7]=>[3,1,4,8,2,5,6,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[1,6,2,8,5,4,3,7]=>[6,5,8,4,1,2,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[1,5,3,8,2,7,4,6]=>[5,3,8,1,2,4,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[1,4,6,5,2,8,3,7]=>[6,4,5,1,2,8,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[1,4,8,2,5,6,3,7]=>[4,5,1,2,6,8,3,7]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[1,5,7,3,2,8,4,6]=>[5,1,7,8,3,2,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[1,2,7,3,6,8,4,5]=>[1,7,2,6,3,4,8,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[1,7,2,3,6,8,4,5]=>[1,7,2,3,6,4,8,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[1,4,8,3,2,5,6,7]=>[4,1,3,2,8,5,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[1,7,2,5,8,3,4,6]=>[1,2,7,5,3,4,8,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[2,9,3,4,5,6,7,8,1]=>[2,3,4,5,6,9,7,8,1]=>[[1,3,4,5,6,7,8],[2],[9]]=>[2,7]
[6,2,3,5,8,1,7,4]=>[6,2,3,5,8,1,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[2,10,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,10,8,9,1]=>[[1,3,4,5,6,7,8,9],[2],[10]]=>[2,8]
[2,6,4,5,7,3,1,8]=>[6,2,4,5,7,3,1,8]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[1,5,6,3,4,2,7,8]=>[5,1,3,6,4,2,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[1,5,3,6,4,2,7,8]=>[5,6,3,1,4,2,7,8]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[1,7,5,6,3,8,4,2]=>[7,5,6,1,8,3,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[1,3,7,5,2,8,6,4]=>[7,8,5,3,1,6,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[1,3,7,2,5,8,6,4]=>[7,8,3,1,2,5,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[1,5,3,7,4,6,2,8]=>[5,7,1,3,4,6,2,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[1,5,3,7,6,4,2,8]=>[7,5,6,3,1,4,2,8]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[1,5,7,6,3,4,8,2]=>[7,1,5,3,6,4,8,2]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[1,5,7,3,6,4,8,2]=>[5,7,3,1,6,4,8,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[1,3,7,2,5,6,8,4]=>[5,3,1,2,7,6,8,4]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[2,5,7,4,1,3,8,6]=>[7,2,5,1,8,4,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[6,7,3,1,8,5,2,4]=>[3,6,7,8,1,5,2,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[4,7,3,6,1,8,2,5]=>[4,3,1,7,6,8,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[6,3,1,5,8,7,2,4]=>[3,8,1,6,5,2,7,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[6,3,4,7,2,1,8,5]=>[6,3,7,4,8,2,1,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[5,3,6,8,7,2,1,4]=>[3,8,5,2,6,7,1,4]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[3,6,2,5,8,4,1,7]=>[6,3,2,5,4,8,1,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[2,3,5,7,4,1,8,6]=>[7,5,2,3,8,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[2,3,6,4,1,8,7,5]=>[8,6,7,2,3,4,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[8,2,5,3,1,7,6,4]=>[8,7,2,5,6,3,1,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[6,2,4,8,3,1,7,5]=>[6,8,2,4,3,7,1,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[5,2,6,4,3,1,8,7]=>[8,5,6,4,2,3,1,7]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[4,7,3,5,2,1,8,6]=>[7,4,3,8,5,2,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[7,4,5,2,1,8,6,3]=>[7,4,8,5,6,2,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[2,5,6,3,1,8,7,4]=>[8,5,6,2,7,3,1,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[5,6,4,3,8,2,1,7]=>[5,6,4,3,2,8,1,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[5,7,4,6,3,2,1,8]=>[5,4,7,6,3,2,1,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[3,6,1,2,4,8,7,5]=>[8,6,1,3,2,7,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[4,6,3,2,8,5,1,7]=>[6,4,3,8,2,5,1,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[7,4,2,8,3,1,6,5]=>[7,4,8,2,6,3,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[8,6,2,3,1,7,5,4]=>[6,8,2,7,5,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[6,7,2,3,1,8,5,4]=>[6,7,2,8,5,3,1,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[5,7,2,3,1,8,6,4]=>[7,5,2,8,6,3,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[2,7,3,4,1,8,6,5]=>[7,8,2,6,3,4,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[2,6,3,4,1,8,7,5]=>[8,6,2,7,3,4,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[6,3,1,2,4,8,7,5]=>[8,6,1,3,7,2,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[8,2,3,4,1,7,6,5]=>[8,7,2,3,4,6,1,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[4,7,5,2,3,6,1,8]=>[2,4,7,5,3,6,1,8]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[3,6,8,4,5,1,2,7]=>[1,3,6,4,5,8,2,7]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[7,2,6,5,3,4,1,8]=>[2,7,6,3,5,4,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[8,2,6,5,4,1,3,7]=>[2,6,8,1,5,4,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[6,2,8,4,5,1,3,7]=>[2,1,6,4,8,5,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[2,3,1,7,8,5,6,4]=>[7,2,5,3,1,8,6,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[7,2,8,5,1,4,3,6]=>[2,7,5,8,1,4,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[8,6,7,1,4,2,3,5]=>[1,2,6,4,8,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[6,8,7,1,4,3,2,5]=>[1,8,6,4,7,3,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[3,7,8,5,1,4,2,6]=>[3,1,7,8,5,4,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[3,7,4,1,8,2,6,5]=>[7,3,8,4,1,6,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[3,8,4,1,7,6,2,5]=>[3,8,4,7,1,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[8,7,1,6,5,2,3,4]=>[1,2,8,7,3,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[3,8,2,1,7,6,4,5]=>[3,8,7,2,1,6,4,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[3,5,7,8,2,4,6,1]=>[3,2,5,4,7,8,6,1]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[1,7,3,6,8,4,5,2]=>[7,1,3,6,4,8,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[4,7,6,3,5,1,8,2]=>[4,7,3,6,5,8,1,2]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[7,8,3,6,1,5,4,2]=>[7,3,8,1,6,5,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[2,5,7,8,4,6,1,3]=>[2,5,1,4,7,8,6,3]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[3,7,5,6,2,1,4,8]=>[3,2,7,5,6,1,4,8]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[6,2,1,7,4,5,3,8]=>[6,2,7,4,1,5,3,8]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[1,2,6,4,7,5,3,8]=>[6,7,4,1,2,5,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[7,5,6,3,8,4,2,1]=>[5,7,6,8,3,4,2,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[2,6,8,4,7,5,1,3]=>[2,6,8,1,4,7,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[5,8,2,7,3,6,4,1]=>[5,8,2,7,3,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[1,6,5,7,3,8,4,2]=>[6,5,7,8,1,3,4,2]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[1,5,6,8,4,2,7,3]=>[5,6,4,1,8,7,2,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[7,5,4,1,8,2,6,3]=>[5,7,4,8,1,6,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[6,4,1,8,2,7,5,3]=>[6,8,4,7,1,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[7,8,5,3,2,6,1,4]=>[3,5,7,8,2,1,6,4]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[6,7,4,3,8,2,5,1]=>[4,6,7,3,2,8,5,1]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[3,4,2,7,8,6,1,5]=>[3,7,4,2,1,8,6,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[7,8,6,1,4,3,2,5]=>[1,7,8,4,6,3,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[2,4,7,8,6,1,3,5]=>[2,1,7,4,3,8,6,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[4,6,2,5,3,1,7,8]=>[4,6,2,5,3,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[4,1,5,6,3,2,7,8]=>[4,5,6,1,3,2,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[1,7,5,6,4,3,2,8]=>[7,5,6,1,4,3,2,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[7,6,5,3,1,8,4,2]=>[7,6,5,8,3,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[4,5,7,3,8,6,1,2]=>[1,7,4,5,8,3,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[4,6,7,8,5,3,1,2]=>[1,6,4,7,8,5,3,2]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[3,4,7,5,6,8,1,2]=>[1,3,7,4,5,6,8,2]=>[[1,2,4,5,6,8],[3],[7]]=>[3,4,1]
[4,7,1,5,8,2,6,3]=>[4,7,1,5,8,2,6,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[3,7,6,1,2,8,5,4]=>[7,6,1,8,3,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[2,7,5,8,3,6,4,1]=>[5,7,8,2,3,6,4,1]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[7,4,8,2,6,5,3,1]=>[7,4,8,6,2,5,3,1]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[7,5,4,8,2,6,3,1]=>[5,7,4,8,2,6,3,1]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[4,3,8,1,6,5,2,7]=>[4,8,3,6,1,5,2,7]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[8,3,4,1,2,6,7,5]=>[8,1,3,4,2,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[7,3,4,8,5,2,1,6]=>[3,7,4,8,5,2,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[7,3,8,4,1,5,6,2]=>[3,4,7,8,5,1,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[3,8,7,5,1,4,2,6]=>[3,5,8,7,1,4,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[4,5,2,3,8,6,7,1]=>[2,8,4,5,3,6,7,1]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[4,3,5,6,1,7,8,2]=>[4,3,5,6,7,1,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[3,5,2,6,4,7,8,1]=>[5,3,6,2,4,7,8,1]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,6,1,8,7,3,4,2]=>[8,1,5,6,7,3,4,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[5,2,1,4,6,8,3,7]=>[5,2,4,1,6,3,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[2,6,4,5,8,1,3,7]=>[2,1,6,4,5,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,4,1,3,5,8,2,7]=>[4,1,6,3,5,2,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[5,2,3,6,4,8,1,7]=>[5,2,6,3,4,1,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[3,4,1,7,2,6,8,5]=>[7,3,4,1,6,2,8,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[2,4,7,5,8,1,3,6]=>[2,1,7,4,5,3,8,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[6,1,8,7,3,4,5,2]=>[3,1,8,6,7,4,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[3,1,6,4,8,7,5,2]=>[8,6,7,3,4,1,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[3,7,1,4,5,8,6,2]=>[7,3,4,1,8,5,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[2,5,6,3,8,7,4,1]=>[8,5,6,2,7,3,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[7,2,6,4,8,1,3,5]=>[2,1,7,4,6,3,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[5,7,3,1,2,6,8,4]=>[5,1,7,3,6,2,8,4]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[3,7,6,2,1,5,8,4]=>[7,3,6,2,5,1,8,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[4,2,6,1,3,7,8,5]=>[6,2,4,1,7,3,8,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[8,5,4,2,7,6,3,1]=>[8,5,7,4,6,2,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[2,8,4,6,7,1,3,5]=>[2,1,4,3,8,6,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[1,8,3,4,6,7,2,5]=>[3,1,4,2,8,6,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[8,2,3,6,1,5,7,4]=>[6,2,3,1,8,5,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[2,5,3,1,6,8,7,4]=>[8,5,6,2,3,1,7,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[2,5,1,6,4,8,7,3]=>[8,5,6,2,4,1,7,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[5,8,2,1,4,6,7,3]=>[5,2,4,1,8,6,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[8,4,6,1,2,5,7,3]=>[4,1,6,2,8,5,7,3]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[3,7,8,4,2,6,5,1]=>[7,3,8,4,6,2,5,1]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[3,5,1,8,6,7,2,4]=>[3,1,8,5,6,2,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[5,6,2,8,7,1,3,4]=>[2,1,8,5,6,3,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[7,2,4,8,5,6,1,3]=>[2,1,7,4,8,5,6,3]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[7,1,3,8,4,5,6,2]=>[3,1,7,4,8,5,6,2]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[7,8,1,4,3,5,6,2]=>[4,1,7,3,8,5,6,2]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[3,6,7,8,2,1,5,4]=>[6,3,2,7,8,5,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[3,6,7,2,8,1,5,4]=>[6,3,2,7,8,1,5,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[2,6,7,1,3,5,8,4]=>[6,2,1,3,7,5,8,4]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[3,6,7,1,2,8,5,4]=>[6,7,1,3,8,5,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[3,6,7,1,8,2,5,4]=>[6,3,1,7,8,5,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[3,4,1,8,7,2,6,5]=>[8,3,7,4,1,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[2,5,1,7,3,6,8,4]=>[5,7,2,1,6,3,8,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[4,1,8,3,2,7,6,5]=>[8,7,4,3,6,1,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[4,1,3,8,2,7,6,5]=>[8,7,4,1,3,2,6,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[1,4,2,3,7,6,5,8]=>[7,6,1,4,2,3,5,8]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[4,3,1,8,2,7,6,5]=>[8,7,4,3,1,6,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[4,3,8,1,2,7,6,5]=>[8,7,1,4,3,2,6,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[4,3,8,2,1,7,6,5]=>[8,7,4,3,2,6,1,5]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[3,4,2,8,7,1,6,5]=>[8,3,7,4,2,1,6,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[2,3,8,4,7,6,1,5]=>[2,8,3,7,4,1,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[3,2,4,8,7,1,6,5]=>[8,3,7,2,4,1,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[3,2,5,7,1,8,6,4]=>[7,5,3,2,8,6,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[2,3,5,7,1,6,8,4]=>[5,2,3,7,1,6,8,4]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[4,2,8,3,1,7,6,5]=>[8,7,4,2,6,3,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[4,8,2,3,1,7,6,5]=>[8,7,2,4,3,6,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[4,8,2,1,3,7,6,5]=>[8,7,2,4,1,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[3,1,2,4,7,8,6,5]=>[7,8,1,3,2,4,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[3,5,4,7,2,8,1,6]=>[5,3,4,2,7,1,8,6]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[3,6,4,7,8,2,1,5]=>[3,6,4,2,7,8,1,5]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[2,3,4,6,8,7,1,5]=>[2,8,3,4,1,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[5,3,4,6,1,7,8,2]=>[3,5,4,6,7,1,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[2,5,7,8,6,1,3,4]=>[2,1,7,3,5,8,6,4]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[2,4,7,6,8,1,3,5]=>[2,1,7,4,3,6,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[5,6,4,7,1,2,8,3]=>[5,1,6,4,7,8,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[4,5,7,1,6,8,3,2]=>[4,5,7,6,1,8,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[3,2,7,6,8,1,4,5]=>[3,2,7,1,4,6,8,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[7,6,1,5,2,8,4,3]=>[7,6,5,1,8,4,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[4,1,7,8,3,5,2,6]=>[4,1,7,3,5,8,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[7,2,8,3,1,6,5,4]=>[7,8,2,6,5,3,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[6,7,2,8,3,1,4,5]=>[2,3,6,7,8,1,4,5]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[3,1,7,6,2,8,4,5]=>[3,7,6,1,8,2,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[6,2,7,8,4,1,3,5]=>[2,1,6,7,4,8,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[4,1,8,3,6,7,2,5]=>[4,3,1,2,8,6,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[6,2,3,7,8,4,1,5]=>[2,6,3,7,4,8,1,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,6,3,7,8,4,1,5]=>[2,6,7,3,4,8,1,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[4,8,5,2,3,1,7,6]=>[8,2,4,7,5,3,1,6]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[4,2,5,1,3,7,8,6]=>[7,2,4,1,5,3,8,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[4,3,5,1,2,7,8,6]=>[7,1,4,3,5,2,8,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[3,5,1,4,2,7,8,6]=>[7,3,5,1,4,2,8,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[3,4,1,7,8,5,2,6]=>[3,7,4,1,8,5,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[3,1,4,8,5,2,7,6]=>[8,3,7,4,1,5,2,6]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[4,3,1,8,5,2,7,6]=>[8,4,7,3,5,1,2,6]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[8,5,3,1,4,2,7,6]=>[8,3,5,7,4,1,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[4,5,1,3,2,7,8,6]=>[7,4,1,5,3,2,8,6]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[5,1,3,2,4,7,8,6]=>[7,1,5,3,2,4,8,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[2,3,7,8,5,4,1,6]=>[2,7,8,3,5,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[1,3,4,8,6,2,7,5]=>[8,3,6,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[4,8,3,5,7,2,1,6]=>[4,3,5,2,8,7,1,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[1,2,4,8,7,3,5,6]=>[4,1,8,2,3,5,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[7,2,4,1,3,8,5,6]=>[2,7,1,4,8,3,5,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[3,8,2,5,4,1,6,7]=>[3,2,8,5,4,1,6,7]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[8,4,5,2,6,1,7,3]=>[4,5,8,2,6,7,1,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[4,5,6,2,7,8,1,3]=>[2,4,5,6,1,7,8,3]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[2,8,6,3,1,7,4,5]=>[2,6,8,7,3,1,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[4,7,5,1,2,6,8,3]=>[4,1,7,5,6,2,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[5,6,1,4,2,8,7,3]=>[8,5,6,1,4,7,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[4,5,8,1,3,2,7,6]=>[8,4,1,5,3,7,2,6]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[4,6,8,2,3,7,5,1]=>[6,2,4,8,3,7,5,1]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[2,5,7,3,4,6,8,1]=>[2,5,3,4,7,6,8,1]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[8,5,2,3,1,7,4,6]=>[5,2,3,8,7,1,4,6]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[6,8,2,3,1,4,7,5]=>[6,2,3,8,1,7,4,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[2,7,3,4,1,5,6,8]=>[2,3,4,7,1,5,6,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[7,4,2,1,3,5,8,6]=>[7,2,4,8,1,3,5,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[3,5,2,4,6,7,8,1]=>[3,2,5,4,6,7,8,1]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[4,2,6,3,5,7,8,1]=>[4,2,6,3,5,7,8,1]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[2,7,5,8,4,1,6,3]=>[5,7,4,2,8,6,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[1,7,5,8,4,2,6,3]=>[5,7,8,1,4,6,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[1,4,8,5,6,2,7,3]=>[8,1,4,5,6,7,2,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[2,4,8,5,6,1,7,3]=>[4,2,8,5,6,7,1,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[6,3,5,8,4,7,1,2]=>[1,6,3,5,4,8,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[1,3,8,5,2,6,7,4]=>[8,3,1,5,6,2,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[7,2,8,4,5,1,6,3]=>[4,2,7,8,5,6,1,3]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[6,2,5,8,4,1,7,3]=>[6,5,2,4,8,7,1,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[3,1,8,5,2,6,7,4]=>[5,3,8,6,1,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[7,8,2,4,1,5,6,3]=>[4,2,7,1,8,5,6,3]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[1,7,3,5,2,6,8,4]=>[7,1,5,3,6,2,8,4]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[8,5,3,2,1,6,7,4]=>[5,8,3,6,2,1,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[2,7,5,1,3,6,8,4]=>[7,2,1,5,6,3,8,4]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[2,8,1,5,3,6,7,4]=>[8,2,1,5,6,3,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[4,8,1,5,6,2,7,3]=>[4,5,6,1,8,7,2,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[5,4,3,1,2,7,8,6]=>[7,1,5,4,3,2,8,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[7,3,1,5,2,6,8,4]=>[5,3,7,6,1,2,8,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[7,1,5,2,3,6,8,4]=>[7,1,2,5,6,3,8,4]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[8,1,2,5,3,6,7,4]=>[8,1,2,5,6,3,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[8,4,1,6,3,7,2,5]=>[4,3,6,8,1,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[6,7,5,3,8,2,1,4]=>[3,6,7,5,2,8,1,4]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[6,5,2,1,4,8,7,3]=>[8,6,2,5,4,1,7,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[4,2,5,8,6,7,1,3]=>[2,4,8,1,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[7,5,4,1,8,6,2,3]=>[1,7,8,5,4,6,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[8,2,7,5,3,4,6,1]=>[2,3,8,7,5,4,6,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[2,4,7,8,5,1,3,6]=>[2,1,7,4,5,8,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[2,5,3,8,4,1,6,7]=>[5,2,3,8,4,1,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[8,2,1,7,4,6,5,3]=>[8,7,2,6,1,4,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[2,7,6,5,3,8,4,1]=>[7,6,5,8,2,3,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[5,3,7,6,8,4,2,1]=>[7,5,6,3,8,4,2,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[3,1,7,4,5,6,2,8]=>[3,7,1,4,5,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[1,7,3,4,8,2,6,5]=>[7,1,8,3,4,2,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[2,4,8,3,5,7,1,6]=>[4,2,3,5,1,8,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[1,3,8,2,4,7,5,6]=>[3,8,1,2,4,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[1,3,7,2,4,6,5,8]=>[7,3,1,2,4,6,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[3,2,8,7,4,1,5,6]=>[3,2,8,7,4,1,5,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[3,2,1,7,4,6,5,8]=>[7,3,6,2,1,4,5,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[3,2,6,5,1,7,8,4]=>[6,5,3,2,7,1,8,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[5,3,2,6,7,1,8,4]=>[5,6,3,2,7,8,1,4]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[3,2,8,6,7,4,1,5]=>[3,8,2,6,4,7,1,5]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[8,4,6,2,7,3,1,5]=>[4,2,6,8,7,3,1,5]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[4,3,8,6,7,2,1,5]=>[4,3,8,2,6,7,1,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,3,6,2,8,7,1,5]=>[4,8,3,2,6,1,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[7,8,4,2,6,3,5,1]=>[4,2,7,8,6,3,5,1]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[6,5,4,2,1,7,8,3]=>[6,5,4,7,2,1,8,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[5,4,2,1,7,6,3,8]=>[7,5,4,6,2,1,3,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[4,1,6,5,2,7,8,3]=>[6,4,5,7,1,2,8,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[5,4,1,6,7,2,8,3]=>[5,4,6,7,1,8,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[6,8,5,3,1,7,2,4]=>[3,6,5,8,1,7,2,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[8,6,1,7,3,4,2,5]=>[1,6,3,8,7,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[1,8,3,6,7,4,2,5]=>[3,8,1,4,6,7,2,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[1,6,3,5,2,7,8,4]=>[6,5,1,3,7,2,8,4]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[5,1,3,7,2,6,4,8]=>[5,7,1,3,2,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[8,1,6,7,2,4,3,5]=>[1,6,2,8,4,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[6,1,4,8,2,7,3,5]=>[4,6,1,2,8,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[6,2,4,8,3,7,1,5]=>[2,6,4,3,1,8,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[8,7,2,6,3,5,1,4]=>[2,3,8,1,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[8,1,7,6,5,2,3,4]=>[1,2,8,7,6,3,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[7,6,1,5,2,4,3,8]=>[7,1,6,2,5,4,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[1,7,3,5,6,8,4,2]=>[7,3,1,5,6,8,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[1,7,8,3,6,4,5,2]=>[7,1,3,8,4,6,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[1,8,7,6,4,5,2,3]=>[1,8,2,7,6,4,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[2,8,5,7,6,4,1,3]=>[2,8,7,1,5,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[7,4,5,1,6,8,3,2]=>[4,5,7,6,8,1,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[4,1,7,5,6,8,3,2]=>[4,7,5,6,1,8,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[5,6,7,4,3,1,8,2]=>[5,6,7,4,3,8,1,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[6,7,8,5,3,1,4,2]=>[3,6,7,8,5,4,1,2]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[1,4,6,2,5,3,7,8]=>[4,6,1,2,5,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[1,6,3,2,5,4,7,8]=>[6,3,5,1,2,4,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[1,6,8,2,5,4,7,3]=>[6,8,1,2,5,4,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[1,2,6,4,3,5,7,8]=>[4,6,1,2,3,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[1,6,8,2,7,5,4,3]=>[6,8,7,5,1,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[1,2,8,5,6,3,4,7]=>[1,2,8,5,3,6,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[1,6,7,2,5,8,4,3]=>[6,7,1,5,2,8,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[1,5,8,3,2,7,4,6]=>[5,1,8,3,7,2,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[1,3,8,2,6,5,4,7]=>[6,8,3,1,2,5,4,7]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[1,7,6,3,8,2,4,5]=>[3,1,7,6,2,4,8,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[1,4,3,8,7,2,5,6]=>[4,3,8,1,2,5,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[1,3,8,5,4,2,6,7]=>[5,3,8,1,4,2,6,7]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[1,7,2,4,8,6,5,3]=>[7,8,6,1,4,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[1,3,2,8,7,5,4,6]=>[5,8,7,3,1,2,4,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[8,1,3,4,6,5,2,7]=>[3,8,1,4,6,5,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[4,8,1,7,5,2,3,6]=>[1,4,8,2,7,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[8,5,1,4,2,6,3,7]=>[1,8,5,4,6,2,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[8,4,1,3,5,6,2,7]=>[4,1,3,5,8,6,2,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[8,5,3,2,1,6,4,7]=>[5,6,8,3,2,1,4,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[8,1,5,4,2,6,3,7]=>[5,4,8,1,6,2,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[8,5,2,4,1,6,3,7]=>[5,2,4,8,6,1,3,7]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[4,8,7,1,5,2,6,3]=>[4,8,1,7,5,6,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[4,8,7,1,5,2,3,6]=>[1,4,2,8,7,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[7,6,8,4,1,3,2,5]=>[1,7,4,6,8,3,2,5]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[4,8,2,7,5,1,3,6]=>[2,4,8,1,5,7,3,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[8,7,6,1,5,2,3,4]=>[1,2,8,3,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[7,1,4,8,6,3,5,2]=>[7,1,8,4,3,6,5,2]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[8,1,6,5,3,4,7,2]=>[6,1,8,3,5,4,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[8,6,2,5,3,4,7,1]=>[2,3,8,6,5,4,7,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[8,6,5,1,3,4,7,2]=>[3,1,6,8,5,4,7,2]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[8,7,1,5,3,6,2,4]=>[1,8,3,5,7,2,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,8,5,2,4,3,6,1]=>[2,7,5,8,4,3,6,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[4,8,1,5,3,7,6,2]=>[8,4,7,1,5,3,6,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[7,4,8,2,6,3,5,1]=>[4,2,7,8,3,6,5,1]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[8,7,3,1,4,6,5,2]=>[8,3,7,1,6,4,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[6,4,1,7,8,5,3,2]=>[6,7,4,8,5,1,3,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[7,6,3,4,1,8,5,2]=>[7,3,6,8,4,5,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[8,7,3,1,6,2,5,4]=>[8,3,1,7,6,5,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[7,8,6,4,2,5,1,3]=>[2,4,7,8,6,1,5,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[8,7,5,2,4,6,1,3]=>[2,1,5,8,7,4,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[8,1,7,5,4,6,2,3]=>[1,8,2,7,5,4,6,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[8,7,3,2,6,1,5,4]=>[8,3,2,7,6,1,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[1,8,7,6,4,2,5,3]=>[4,8,7,6,5,1,2,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[8,4,6,7,5,3,2,1]=>[6,4,8,7,5,3,2,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[1,4,8,6,7,5,3,2]=>[8,6,4,1,7,5,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[7,8,2,5,6,4,3,1]=>[5,7,2,8,6,4,3,1]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[7,6,2,5,8,4,3,1]=>[7,6,2,5,8,4,3,1]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[1,7,3,6,8,5,4,2]=>[7,6,8,1,3,5,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[1,8,3,6,7,5,4,2]=>[8,6,3,1,7,5,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[7,8,1,6,4,5,3,2]=>[7,4,1,8,6,5,3,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[8,1,7,6,4,5,3,2]=>[8,7,1,4,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[1,6,2,7,4,5,3,8]=>[6,1,7,4,2,5,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[1,7,2,6,4,5,3,8]=>[7,1,6,2,4,5,3,8]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[1,7,2,8,4,3,6,5]=>[7,4,8,6,1,2,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[1,7,2,6,4,3,5,8]=>[1,7,6,4,2,3,5,8]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[1,6,2,7,4,3,5,8]=>[4,6,7,1,2,3,5,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[1,7,2,5,4,6,3,8]=>[7,1,5,4,2,6,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[1,8,2,5,4,6,3,7]=>[1,8,5,4,2,6,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[8,1,2,3,7,6,4,5]=>[1,8,7,2,3,4,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[6,7,2,5,8,1,4,3]=>[6,2,1,7,5,8,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[6,3,7,2,4,1,8,5]=>[6,3,7,2,8,4,1,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[6,3,7,5,8,1,4,2]=>[3,6,7,5,1,8,4,2]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[6,3,7,4,8,2,5,1]=>[3,6,7,4,2,8,5,1]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[6,2,7,4,8,3,5,1]=>[4,6,7,2,3,8,5,1]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[8,7,6,4,2,5,3,1]=>[4,8,7,6,5,2,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[8,7,4,6,2,3,5,1]=>[2,4,3,8,7,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[6,8,4,5,7,3,2,1]=>[4,6,5,8,7,3,2,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[6,8,5,1,4,3,7,2]=>[6,5,1,8,4,3,7,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[7,8,5,1,4,3,6,2]=>[7,1,5,8,4,3,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[2,7,6,8,3,5,1,4]=>[2,3,7,6,1,8,5,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[4,8,5,6,2,3,1,7]=>[2,4,5,8,6,3,1,7]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[5,2,1,3,6,8,4,7]=>[5,2,6,1,3,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[3,2,7,1,6,8,5,4]=>[7,6,3,2,1,8,5,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[5,8,2,7,6,1,3,4]=>[2,1,8,5,3,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[8,6,7,1,3,5,2,4]=>[3,1,2,6,8,7,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[5,2,1,3,6,7,4,8]=>[5,2,6,1,3,7,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[7,2,1,8,6,3,5,4]=>[7,2,8,6,5,1,3,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[3,2,4,8,1,7,6,5]=>[8,7,3,2,4,1,6,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[4,3,6,8,7,2,1,5]=>[4,8,3,2,6,7,1,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,2,3,1,7,5,6,8]=>[2,7,4,3,1,5,6,8]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[5,1,8,7,3,4,2,6]=>[1,8,5,3,7,4,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[6,2,8,1,4,7,3,5]=>[2,6,4,1,3,8,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[8,2,3,1,4,7,5,6]=>[2,8,3,1,4,7,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[4,2,3,1,5,8,6,7]=>[2,8,4,3,1,5,6,7]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[3,1,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[[1,2,4,5,6,7,8,9,10],[3]]=>[3,7]
[2,4,8,7,5,3,1,6]=>[4,8,7,2,5,3,1,6]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[6,5,1,2,4,3,8,7]=>[8,6,1,2,5,4,3,7]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[4,6,5,3,1,2,8,7]=>[8,1,6,4,5,3,2,7]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[4,8,7,5,3,1,2,6]=>[1,4,8,7,5,3,2,6]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[4,6,8,7,5,3,1,2]=>[1,8,6,4,7,5,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[6,8,7,5,3,1,4,2]=>[3,8,6,7,5,4,1,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[8,7,5,6,3,1,4,2]=>[3,5,8,7,6,4,1,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[2,1,4,8,7,3,6,5]=>[8,4,7,2,1,3,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[4,8,7,3,1,2,6,5]=>[8,1,4,7,3,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[8,7,3,2,6,5,1,4]=>[3,8,2,7,6,1,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[2,8,7,3,4,6,5,1]=>[8,2,3,7,6,4,5,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[2,8,7,3,6,5,1,4]=>[2,8,3,7,6,1,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[2,8,7,1,6,5,3,4]=>[2,8,7,1,6,3,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[8,7,1,2,6,5,3,4]=>[1,8,7,2,3,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[8,7,1,2,4,3,6,5]=>[8,1,7,2,4,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[2,1,8,7,3,4,6,5]=>[8,2,1,7,6,3,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[2,8,7,1,4,3,6,5]=>[8,2,7,1,6,4,3,5]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[2,8,7,5,6,3,4,1]=>[2,8,3,7,5,6,4,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[2,4,8,7,3,1,6,5]=>[8,4,7,2,3,6,1,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[2,4,3,1,8,7,5,6]=>[4,8,7,2,3,1,5,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[4,3,1,2,6,8,7,5]=>[8,6,1,4,3,2,7,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[2,8,7,5,6,3,1,4]=>[2,8,3,7,5,6,1,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[2,8,7,5,3,1,6,4]=>[5,8,7,6,2,3,1,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[2,8,7,5,3,6,4,1]=>[5,8,7,6,2,3,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[2,8,7,5,6,1,4,3]=>[8,2,1,7,5,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[6,8,7,5,1,2,4,3]=>[8,1,2,6,7,5,4,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[8,7,1,2,4,6,5,3]=>[8,4,1,2,7,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[2,4,8,7,3,6,5,1]=>[8,4,7,2,3,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[8,7,2,4,3,6,5,1]=>[8,2,7,4,6,3,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[8,7,5,3,6,4,1,2]=>[1,5,8,7,6,3,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[8,1,2,3,4,5,7,6,9]=>[8,1,2,3,4,5,7,6,9]=>[[1,2,3,4,5,6,9],[7],[8]]=>[8,1]
[7,1,2,3,5,4,6,8]=>[1,7,2,3,5,4,6,8]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[1,9,2,3,4,5,6,8,7]=>[9,1,2,3,4,5,8,6,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9]
[9,1,2,3,4,5,6,8,7,10]=>[9,1,2,3,4,5,6,8,7,10]=>[[1,2,3,4,5,6,7,10],[8],[9]]=>[9,1]
[7,1,2,6,4,5,3,8]=>[7,1,4,2,6,5,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[7,1,2,4,3,5,6,8]=>[1,2,7,4,3,5,6,8]=>[[1,2,3,5,6,8],[4],[7]]=>[4,3,1]
[1,10,2,3,4,5,6,7,9,8]=>[10,1,2,3,4,5,6,9,7,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10]
[2,5,8,6,1,4,3,7]=>[2,8,5,1,6,4,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[8,3,6,1,5,2,4,7]=>[3,1,2,8,6,5,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[2,5,6,1,8,4,7,3]=>[5,6,2,8,1,4,7,3]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[7,5,4,1,2,8,6,3]=>[7,8,1,5,4,6,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[5,7,2,1,8,4,6,3]=>[5,7,2,8,4,1,6,3]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[8,4,2,7,1,5,3,6]=>[4,2,8,1,7,5,3,6]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[7,2,8,6,4,3,1,5]=>[4,7,8,6,2,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[6,3,8,7,4,2,1,5]=>[3,8,6,7,4,2,1,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[7,2,8,5,3,1,4,6]=>[2,5,7,8,3,1,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[8,6,1,3,2,4,5,7]=>[1,3,2,8,6,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[8,1,4,7,3,2,6,5]=>[8,4,1,7,3,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[6,5,1,3,8,2,7,4]=>[6,5,1,8,3,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[8,1,4,2,7,6,3,5]=>[1,8,7,4,2,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[1,8,7,4,6,2,5,3]=>[8,1,4,7,6,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[1,3,4,5,6,7,8,2,9]=>[3,1,4,5,6,7,8,2,9]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[1,5,7,3,6,8,2,4]=>[3,5,1,2,7,6,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[8,4,6,2,5,7,1,3]=>[2,4,1,6,8,5,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[5,1,7,3,6,8,2,4]=>[1,5,7,3,2,6,8,4]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[6,7,8,2,4,5,1,3]=>[2,1,4,6,7,8,5,3]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[3,8,2,6,5,7,1,4]=>[3,2,8,1,6,5,7,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[6,7,1,2,8,4,3,5]=>[1,6,7,4,8,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[2,1,3,8,6,5,4,7]=>[6,8,5,2,1,3,4,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[3,5,7,1,6,8,2,4]=>[3,1,5,7,2,6,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[4,5,7,6,1,8,2,3]=>[1,7,4,5,6,8,2,3]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[8,4,6,7,5,2,1,3]=>[2,6,4,8,7,5,1,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[8,3,7,5,6,2,1,4]=>[3,2,8,5,7,6,1,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[1,4,8,6,7,3,2,5]=>[4,8,1,3,6,7,2,5]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[2,4,8,6,7,3,1,5]=>[2,8,4,3,6,7,1,5]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[8,2,7,6,4,3,1,5]=>[2,8,7,6,4,3,1,5]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[8,1,7,6,4,3,2,5]=>[4,8,7,6,1,3,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[1,5,8,4,3,7,6,2]=>[8,5,7,1,4,3,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[8,1,4,5,6,3,7,2]=>[4,5,1,6,8,3,7,2]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[8,1,4,7,6,2,5,3]=>[4,8,7,1,2,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[2,5,1,7,8,6,4,3]=>[7,5,8,2,6,1,4,3]=>[[1,3],[2,4],[5,6],[7,8]]=>[2,3,2,1]
[8,3,2,5,6,7,1,4]=>[3,2,1,5,8,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[7,2,1,6,3,4,8,5]=>[7,2,6,1,8,3,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[2,7,1,3,8,4,6,5]=>[7,2,8,1,3,6,4,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[3,8,7,1,6,2,5,4]=>[8,3,1,7,6,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[4,8,5,7,2,6,3,1]=>[4,5,8,7,2,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[8,4,5,7,3,2,6,1]=>[4,5,3,8,7,2,6,1]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[8,3,7,2,4,1,5,6]=>[3,2,4,1,8,7,5,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[8,6,7,2,1,4,3,5]=>[2,6,4,8,7,1,3,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[8,3,7,5,1,2,6,4]=>[8,1,3,5,7,6,2,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[3,4,7,6,1,2,8,5]=>[7,1,6,3,4,8,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[8,3,6,7,2,5,1,4]=>[3,2,1,6,8,7,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[8,5,2,7,6,1,3,4]=>[2,1,8,5,7,3,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[8,7,3,1,4,5,2,6]=>[3,1,8,4,7,5,2,6]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[6,4,7,2,1,5,8,3]=>[4,6,7,2,5,1,8,3]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[8,4,2,5,1,6,7,3]=>[4,5,2,8,6,1,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[8,5,3,1,6,4,7,2]=>[5,6,8,3,4,1,7,2]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[7,4,8,2,6,1,5,3]=>[4,7,2,8,1,6,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[8,5,3,6,1,2,7,4]=>[5,1,8,3,6,7,2,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[8,5,3,1,6,4,2,7]=>[5,6,8,3,4,1,2,7]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[8,7,4,1,5,2,3,6]=>[1,4,5,8,7,2,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[8,6,4,1,2,7,5,3]=>[6,8,1,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[8,7,4,1,2,5,3,6]=>[4,1,5,8,7,2,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[6,5,3,7,4,2,1,8]=>[6,5,7,3,4,2,1,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[1,8,3,4,5,2,6,7]=>[3,1,4,5,8,2,6,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[1,8,6,4,2,5,3,7]=>[4,6,8,5,1,2,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[8,2,6,4,1,5,7,3]=>[4,2,8,6,5,1,7,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[7,8,3,4,6,1,5,2]=>[3,4,7,1,8,6,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[4,8,7,5,3,1,6,2]=>[4,8,7,5,3,6,1,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[6,1,4,8,3,2,5,7]=>[4,6,1,3,2,8,5,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[3,1,7,4,2,5,8,6]=>[7,3,8,4,1,2,5,6]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[1,2,7,4,3,5,6,8]=>[4,1,7,2,3,5,6,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[7,2,8,6,5,1,4,3]=>[7,2,8,6,5,1,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[7,4,8,6,1,5,3,2]=>[4,7,8,6,5,1,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[8,7,2,6,1,4,5,3]=>[4,2,1,8,7,6,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[8,5,3,1,2,4,7,6]=>[8,1,3,5,7,2,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,2,1,6,5,3,4,7]=>[2,6,8,1,5,3,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[3,8,1,5,6,2,4,7]=>[3,1,5,2,6,8,4,7]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[3,2,8,1,6,4,5,7]=>[3,2,8,1,4,6,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[5,2,1,3,7,6,4,8]=>[7,5,2,6,1,3,4,8]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[7,1,2,5,3,4,6,8]=>[1,2,7,3,5,4,6,8]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[1,6,7,3,2,8,4,5]=>[1,6,7,8,3,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[1,5,3,7,2,8,4,6]=>[5,3,7,1,2,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[1,4,6,2,8,5,3,7]=>[6,4,1,8,5,2,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[1,8,5,2,6,4,3,7]=>[5,6,8,4,1,2,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[1,8,6,2,7,4,5,3]=>[6,1,8,7,4,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[3,6,1,7,4,8,5,2]=>[6,7,3,8,4,1,5,2]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[2,4,6,3,1,7,5,8]=>[6,4,2,7,3,1,5,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[3,4,8,6,5,7,2,1]=>[6,8,3,4,5,7,2,1]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[3,4,5,8,1,7,6,2]=>[8,3,4,5,7,1,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[3,5,8,6,1,7,2,4]=>[3,1,8,5,6,7,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[1,4,3,6,7,8,2,5]=>[4,3,1,2,6,7,8,5]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[2,4,8,5,6,7,1,3]=>[2,1,4,8,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[1,4,8,5,6,7,3,2]=>[4,8,1,5,6,7,3,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[1,7,4,8,5,6,3,2]=>[7,8,1,4,5,6,3,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[7,8,1,4,6,3,5,2]=>[4,3,1,7,8,6,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[1,2,4,7,3,6,8,5]=>[7,4,1,2,3,6,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[1,2,5,7,4,6,3,8]=>[5,4,1,2,7,6,3,8]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[3,2,1,6,8,4,7,5]=>[6,8,3,2,1,4,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[4,8,3,1,6,5,7,2]=>[4,8,3,6,5,1,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[6,2,5,8,3,1,7,4]=>[6,5,2,8,3,7,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[6,5,8,4,2,1,7,3]=>[6,5,4,8,7,2,1,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[1,7,8,6,5,4,2,3]=>[1,7,8,6,5,2,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[6,8,7,4,5,1,3,2]=>[4,1,8,6,7,5,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[6,1,3,5,4,2,8,7]=>[8,6,3,1,5,4,2,7]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[5,3,7,2,6,8,4,1]=>[5,7,3,2,6,8,4,1]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[8,7,4,6,1,3,5,2]=>[4,1,3,8,7,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[5,7,2,3,4,6,8,1]=>[2,3,5,4,7,6,8,1]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[1,3,8,2,7,5,6,4]=>[8,3,5,1,2,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[5,7,1,2,3,8,6,4]=>[7,5,1,2,8,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[4,7,6,2,1,8,5,3]=>[7,6,4,8,5,2,1,3]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[4,2,1,7,6,8,5,3]=>[7,6,4,8,2,1,5,3]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[6,3,4,7,8,1,5,2]=>[3,4,6,7,1,8,5,2]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[6,7,8,3,4,1,5,2]=>[3,4,6,7,8,5,1,2]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[1,3,2,8,7,5,6,4]=>[8,3,7,5,1,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[7,1,8,5,2,3,6,4]=>[5,1,7,8,6,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[6,8,7,4,3,1,5,2]=>[4,8,6,7,3,5,1,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[7,8,6,2,4,1,5,3]=>[4,2,7,8,6,5,1,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[7,2,8,4,6,1,5,3]=>[4,2,7,8,6,1,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[2,8,6,3,1,7,5,4]=>[6,8,7,5,2,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[2,4,7,1,8,6,5,3]=>[7,8,4,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>[2,2,3,1]
[7,4,6,2,8,1,5,3]=>[4,7,2,6,8,1,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[7,1,5,8,2,3,6,4]=>[7,1,2,5,8,3,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[7,6,4,8,2,1,5,3]=>[4,7,6,8,2,5,1,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[6,1,8,4,2,3,5,7]=>[1,4,6,2,8,3,5,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[7,3,6,2,1,8,5,4]=>[7,6,3,8,5,2,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[7,2,3,1,6,4,8,5]=>[7,6,2,3,8,1,4,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[6,5,2,3,8,1,4,7]=>[2,3,6,5,1,4,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[2,1,8,6,3,4,5,7]=>[2,1,6,8,3,4,5,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[5,6,2,1,8,4,7,3]=>[5,6,8,2,4,1,7,3]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[2,4,1,8,7,5,3,6]=>[4,8,7,2,5,1,3,6]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[2,8,1,6,5,7,3,4]=>[2,8,1,6,3,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[5,2,1,4,8,3,7,6]=>[8,5,2,4,1,3,7,6]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[5,1,6,4,3,8,7,2]=>[8,5,6,4,3,1,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[5,2,1,8,4,7,6,3]=>[8,5,7,2,4,1,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[6,7,5,3,2,1,8,4]=>[6,7,5,8,3,2,1,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[4,8,2,5,3,1,7,6]=>[8,4,2,7,5,3,1,6]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[2,1,3,7,6,4,5,8]=>[2,7,6,1,3,4,5,8]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[2,8,1,6,7,5,4,3]=>[6,8,7,2,1,5,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[1,3,8,7,5,4,6,2]=>[5,8,7,3,1,4,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[4,7,2,6,1,5,8,3]=>[4,7,2,1,6,5,8,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[4,7,8,6,3,1,5,2]=>[4,7,3,8,6,5,1,2]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[2,8,7,3,1,6,4,5]=>[2,8,3,7,6,1,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[1,3,5,7,9,8,6,4,2]=>[9,7,5,3,1,8,6,4,2]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>[3,2,2,2]
[1,3,5,7,9,10,8,6,4,2]=>[9,7,5,3,1,10,8,6,4,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>[3,2,2,2,1]
[7,8,3,1,6,2,4,5]=>[3,1,2,7,8,6,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[2,3,7,4,5,1,8,6]=>[7,2,8,3,4,5,1,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[2,3,7,1,5,6,8,4]=>[5,2,3,1,7,6,8,4]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[7,3,4,8,1,5,6,2]=>[3,4,7,1,5,8,6,2]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[5,8,6,2,7,3,1,4]=>[2,5,8,6,7,3,1,4]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[6,5,1,7,8,3,4,2]=>[6,1,5,7,3,8,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[6,4,1,7,2,8,5,3]=>[6,7,4,8,5,1,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[7,3,1,6,2,8,5,4]=>[7,6,3,8,5,1,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[4,8,2,5,3,1,6,7]=>[4,2,5,8,3,1,6,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[4,6,2,8,1,7,3,5]=>[4,2,6,8,1,3,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[7,2,3,6,1,8,5,4]=>[7,6,2,3,8,5,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[7,8,4,5,1,2,6,3]=>[4,1,5,7,8,6,2,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[6,3,4,7,1,8,5,2]=>[6,3,7,4,8,5,1,2]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[5,1,3,4,7,2,8,6]=>[7,3,1,5,4,8,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[7,1,2,6,8,3,5,4]=>[7,1,6,2,3,8,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[5,4,2,7,8,6,1,3]=>[2,7,5,4,1,8,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[7,6,2,3,8,1,5,4]=>[7,2,3,6,8,1,5,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[4,7,6,8,1,2,5,3]=>[4,1,7,6,2,8,5,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[6,8,7,2,1,3,4,5]=>[2,1,3,8,6,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[7,1,6,2,3,4,8,5]=>[7,1,2,6,3,8,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[7,6,2,1,3,4,8,5]=>[7,2,1,6,8,3,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[1,7,8,5,2,6,3,4]=>[1,7,2,8,5,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[7,1,8,6,3,2,5,4]=>[7,3,8,6,5,1,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[7,6,1,2,5,3,8,4]=>[7,6,1,2,5,8,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[5,8,7,2,6,3,4,1]=>[2,5,8,7,3,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[5,7,8,2,6,1,3,4]=>[2,1,5,3,7,8,6,4]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[6,7,5,1,8,2,3,4]=>[1,2,6,7,5,8,3,4]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[6,1,7,3,2,4,8,5]=>[6,3,7,8,1,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[6,7,3,1,8,2,5,4]=>[6,3,7,8,1,5,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[6,7,2,3,1,4,8,5]=>[6,2,3,7,8,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[4,8,3,2,7,1,6,5]=>[8,4,3,2,7,1,6,5]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[5,3,8,7,1,6,4,2]=>[5,8,7,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[5,3,8,2,1,7,6,4]=>[8,5,7,3,2,6,1,4]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[3,8,7,2,6,5,1,4]=>[3,8,2,7,1,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[7,4,1,8,6,5,3,2]=>[7,8,6,4,5,3,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[5,8,4,2,1,7,6,3]=>[8,5,4,7,6,2,1,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[5,8,4,7,1,6,3,2]=>[5,4,8,7,1,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[5,4,8,3,1,7,6,2]=>[8,5,4,3,7,6,1,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[6,1,8,5,4,3,7,2]=>[6,5,8,4,3,1,7,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[5,6,1,8,3,4,7,2]=>[5,1,6,3,8,4,7,2]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[6,8,1,5,2,4,7,3]=>[6,1,5,2,8,4,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[5,1,6,8,2,4,7,3]=>[5,1,6,4,2,8,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[6,1,5,8,4,7,2,3]=>[1,6,5,2,4,8,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[8,5,6,1,4,7,2,3]=>[1,5,2,6,8,4,7,3]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[5,2,6,8,1,4,7,3]=>[5,2,6,1,4,8,7,3]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[6,7,4,2,5,8,1,3]=>[2,4,6,7,1,5,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[1,6,7,5,8,3,2,4]=>[1,6,7,5,3,8,2,4]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[1,6,8,5,7,4,2,3]=>[1,6,5,8,2,7,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[3,8,6,5,7,4,1,2]=>[1,6,8,5,3,7,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[6,8,1,5,7,4,2,3]=>[1,6,5,2,8,7,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[8,1,6,5,7,4,3,2]=>[8,6,5,1,7,4,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[6,8,2,1,5,7,4,3]=>[6,8,2,5,1,7,4,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[7,3,1,4,8,6,5,2]=>[7,8,3,6,4,1,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[6,5,2,4,8,7,3,1]=>[8,6,2,5,4,7,3,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[2,7,8,5,6,3,1,4]=>[2,7,3,5,8,6,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[4,7,8,5,6,3,1,2]=>[1,4,7,5,8,6,3,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[4,7,8,5,3,6,1,2]=>[1,4,7,5,8,3,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[2,7,8,5,3,1,4,6]=>[2,3,7,8,5,1,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[4,7,5,3,8,1,2,6]=>[1,4,7,5,3,2,8,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[2,7,5,8,3,1,4,6]=>[2,5,7,3,1,8,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[2,7,5,8,3,4,6,1]=>[2,5,7,3,4,8,6,1]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[2,7,5,6,3,4,8,1]=>[2,7,3,5,6,4,8,1]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[4,7,5,3,1,6,2,8]=>[4,7,5,3,6,1,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[2,7,5,3,1,6,4,8]=>[5,7,6,2,3,1,4,8]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[2,7,5,3,8,4,6,1]=>[5,7,2,8,3,4,6,1]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[2,7,5,3,8,1,6,4]=>[5,7,8,2,3,1,6,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[2,7,5,8,3,1,6,4]=>[5,7,8,2,3,6,1,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[6,7,5,3,8,1,4,2]=>[3,6,7,5,8,1,4,2]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[4,7,5,3,8,6,1,2]=>[1,7,8,4,5,3,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[6,7,5,3,4,1,8,2]=>[3,6,7,5,4,8,1,2]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[2,7,5,3,6,8,4,1]=>[5,7,6,2,3,8,4,1]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[2,7,5,3,6,1,8,4]=>[5,7,6,2,3,8,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[2,7,5,3,4,1,8,6]=>[7,2,8,5,3,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[2,7,5,3,4,8,6,1]=>[7,2,8,5,3,4,6,1]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[2,7,5,3,4,1,6,8]=>[2,5,7,3,4,1,6,8]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[2,7,5,3,1,4,6,8]=>[2,5,7,3,1,4,6,8]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[4,7,5,3,1,2,6,8]=>[1,4,7,5,3,2,6,8]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[5,1,6,3,2,4,8,7]=>[8,3,5,6,1,2,4,7]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[3,8,7,1,2,5,4,6]=>[1,8,3,2,7,5,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[3,7,5,2,1,4,8,6]=>[7,3,8,2,5,1,4,6]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[5,8,6,1,7,4,2,3]=>[1,5,8,6,7,4,2,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[6,1,7,2,8,4,3,5]=>[4,6,7,8,1,2,3,5]=>[[1,2,3,5],[4,6,7,8]]=>[4,2,2]
[4,8,5,6,7,3,1,2]=>[1,4,5,8,6,7,3,2]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[6,1,7,2,8,5,3,4]=>[1,6,7,8,5,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[3,7,6,1,8,4,2,5]=>[3,7,6,4,8,1,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[2,6,7,1,8,4,3,5]=>[2,6,7,4,8,1,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[6,1,7,3,8,5,2,4]=>[3,6,7,8,1,2,5,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[7,1,8,3,2,5,4,6]=>[3,7,5,8,1,2,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[5,1,7,3,2,4,8,6]=>[7,3,5,8,1,2,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[2,5,6,8,7,3,1,4]=>[2,8,5,3,6,7,1,4]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[4,8,5,6,7,2,1,3]=>[2,4,5,8,6,7,1,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[2,4,6,7,8,5,1,3]=>[2,6,1,4,7,8,5,3]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[2,4,6,7,8,3,1,5]=>[4,2,3,6,7,8,1,5]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[4,7,6,2,8,5,1,3]=>[2,7,6,4,8,1,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[5,8,6,3,7,4,1,2]=>[1,5,8,6,7,3,4,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[4,6,5,8,7,3,1,2]=>[1,8,6,4,5,7,3,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[5,8,6,3,7,2,1,4]=>[3,5,8,6,2,7,1,4]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[4,5,1,2,8,7,3,6]=>[4,8,1,5,2,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[5,6,1,2,8,3,7,4]=>[5,6,1,8,2,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[5,8,7,1,6,2,4,3]=>[5,1,8,7,6,2,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[4,8,5,1,7,6,2,3]=>[1,8,4,7,5,6,2,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[7,3,1,5,4,8,6,2]=>[7,8,3,5,4,1,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[6,7,1,4,2,8,5,3]=>[6,7,8,1,4,5,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[3,4,1,8,6,5,7,2]=>[6,8,3,4,5,1,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[5,7,1,2,4,8,6,3]=>[7,5,1,2,8,4,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[2,1,6,4,8,3,7,5]=>[6,8,4,2,1,3,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[7,4,5,1,3,8,6,2]=>[7,4,1,8,5,3,6,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[1,5,7,8,3,6,2,4]=>[3,5,1,2,7,8,6,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[1,5,7,8,2,4,3,6]=>[5,1,2,7,4,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[3,8,4,2,7,5,1,6]=>[3,8,4,7,2,5,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[6,8,3,2,1,5,4,7]=>[6,3,5,8,2,1,4,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[6,5,8,2,1,3,4,7]=>[2,1,6,5,3,8,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[2,8,5,3,6,1,4,7]=>[2,5,3,8,1,6,4,7]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[2,8,1,4,6,7,5,3]=>[6,4,2,1,8,7,5,3]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[1,8,4,6,3,2,7,5]=>[8,4,6,1,7,3,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[6,4,8,5,3,2,1,7]=>[6,4,8,5,3,2,1,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[3,5,6,1,4,2,7,8]=>[3,5,1,6,4,2,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[1,6,3,8,4,2,7,5]=>[6,8,3,7,1,4,2,5]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[5,3,6,8,4,2,7,1]=>[5,6,3,4,8,2,7,1]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[6,5,8,1,2,3,7,4]=>[6,1,2,5,8,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[5,3,1,4,7,6,8,2]=>[7,3,5,4,1,6,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[6,4,3,2,7,5,8,1]=>[6,7,4,3,2,5,8,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[7,5,4,2,1,3,8,6]=>[7,2,8,5,4,1,3,6]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[2,1,4,8,7,3,5,6]=>[4,2,8,1,3,5,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[5,4,6,8,7,1,3,2]=>[8,1,5,4,6,7,3,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[3,6,7,8,2,1,4,5]=>[3,2,1,6,7,8,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[4,2,8,3,6,5,1,7]=>[4,8,2,6,3,5,1,7]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[5,2,4,7,8,6,1,3]=>[2,7,1,5,4,8,6,3]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[7,2,1,3,4,8,5,6]=>[2,7,1,3,8,4,5,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[7,6,3,1,2,5,8,4]=>[7,1,3,6,5,2,8,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[1,5,7,4,3,2,8,6]=>[7,5,8,4,1,3,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[8,1,6,2,3,4,7,5]=>[8,1,2,3,6,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[6,1,4,2,5,7,8,3]=>[6,1,4,5,2,7,8,3]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[1,8,7,3,2,6,5,4]=>[8,7,3,6,5,1,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[1,8,3,6,4,7,2,5]=>[1,8,3,6,4,2,7,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[1,8,5,3,6,7,2,4]=>[1,5,8,3,2,6,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[1,4,7,2,5,6,3,8]=>[4,5,1,2,7,6,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[7,3,5,8,2,6,1,4]=>[3,2,5,7,1,8,6,4]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[3,5,8,6,4,7,1,2]=>[1,5,8,3,6,4,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[3,4,8,6,7,2,1,5]=>[3,4,8,2,6,7,1,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[1,4,6,2,5,8,7,3]=>[8,4,6,1,2,5,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[1,5,6,4,2,3,8,7]=>[8,1,5,6,2,4,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[6,3,4,1,8,2,7,5]=>[6,3,8,4,1,7,2,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[4,1,6,8,2,5,7,3]=>[4,6,1,5,2,8,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[1,4,6,7,8,3,5,2]=>[4,3,1,6,7,8,5,2]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[4,1,5,3,6,8,7,2]=>[8,4,5,3,1,6,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[3,7,5,1,6,8,4,2]=>[7,3,5,6,8,1,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[6,1,4,7,8,2,5,3]=>[6,1,4,7,2,8,5,3]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[5,8,7,4,6,2,3,1]=>[2,5,8,4,7,6,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[6,8,7,1,5,3,4,2]=>[8,1,3,6,7,5,4,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[2,8,7,4,6,1,5,3]=>[4,2,8,7,6,1,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[4,8,7,2,5,6,3,1]=>[4,8,2,5,7,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[4,7,8,5,3,6,2,1]=>[4,7,5,8,3,6,2,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[6,4,8,1,5,7,3,2]=>[4,6,5,8,1,7,3,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[2,6,7,8,4,5,1,3]=>[2,1,6,4,7,8,5,3]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[4,7,1,8,5,6,3,2]=>[4,7,8,5,1,6,3,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[5,3,8,4,7,6,2,1]=>[8,5,3,7,4,6,2,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[2,5,8,1,7,4,6,3]=>[5,8,2,1,4,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[4,5,8,3,7,6,2,1]=>[8,4,5,3,7,6,2,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[3,5,7,8,1,6,2,4]=>[3,1,5,7,2,8,6,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[2,4,7,8,5,6,1,3]=>[2,1,7,4,5,8,6,3]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[4,1,7,8,5,6,3,2]=>[4,7,5,8,1,6,3,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[2,6,3,8,5,1,7,4]=>[6,8,2,5,3,7,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[4,1,5,8,6,7,3,2]=>[4,8,5,6,1,7,3,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[6,3,5,2,4,7,1,8]=>[3,2,6,5,4,7,1,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[5,2,6,3,4,8,1,7]=>[2,5,6,3,4,1,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[3,8,2,4,6,1,5,7]=>[3,2,4,1,6,8,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[2,3,8,4,6,1,5,7]=>[2,3,4,8,1,6,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[5,3,4,7,6,1,2,8]=>[1,7,3,5,4,6,2,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[6,5,1,3,2,8,4,7]=>[6,5,1,3,8,2,4,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[6,2,1,4,8,3,7,5]=>[6,8,2,4,1,3,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[3,4,7,2,1,8,5,6]=>[3,7,4,2,8,1,5,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[3,8,2,1,4,7,6,5]=>[8,7,3,2,1,6,4,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[4,2,8,7,1,3,5,6]=>[2,4,1,8,3,5,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[4,8,6,5,3,1,2,7]=>[1,6,8,4,5,3,2,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[1,5,6,8,7,3,2,4]=>[1,8,5,6,3,7,2,4]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[1,3,8,6,4,7,2,5]=>[3,6,8,1,4,2,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[3,2,1,6,4,8,7,5]=>[8,6,7,3,2,1,4,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[6,5,1,8,7,3,2,4]=>[3,8,6,5,7,1,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[4,1,7,6,8,3,2,5]=>[4,7,1,6,8,3,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[6,3,5,1,2,8,7,4]=>[8,6,1,3,5,7,2,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[8,1,4,5,7,3,2,6]=>[4,5,1,3,8,7,2,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[1,8,4,7,6,2,3,5]=>[1,2,8,7,4,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[5,8,4,7,6,1,3,2]=>[8,1,5,4,7,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[8,2,4,7,6,1,3,5]=>[2,1,8,4,3,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[2,6,3,7,4,8,5,1]=>[6,7,8,2,3,4,5,1]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[5,2,6,7,8,3,4,1]=>[2,5,6,3,7,8,4,1]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[5,8,4,3,7,2,1,6]=>[5,4,3,8,2,7,1,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[6,1,2,8,7,3,4,5]=>[1,2,8,6,3,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,5,2,7,6,3,4,8]=>[1,7,5,6,2,3,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[7,2,6,8,3,5,4,1]=>[7,2,6,3,8,5,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[4,1,8,7,6,5,2,3]=>[1,8,7,6,4,5,2,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[7,6,5,2,8,4,3,1]=>[7,6,5,8,4,2,3,1]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[7,8,5,2,6,4,1,3]=>[2,5,7,8,6,1,4,3]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[8,7,5,2,6,1,4,3]=>[5,2,8,7,6,1,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[6,5,1,8,7,4,3,2]=>[8,6,5,7,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[7,5,1,8,6,4,3,2]=>[7,8,5,6,4,3,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[8,5,1,7,6,4,3,2]=>[8,5,7,6,4,3,1,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[7,6,8,2,5,4,1,3]=>[2,7,1,6,8,5,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[7,2,8,6,1,5,4,3]=>[7,8,2,6,5,1,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[7,8,6,2,5,1,4,3]=>[7,2,1,8,6,5,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[3,8,7,6,1,5,4,2]=>[8,3,7,6,5,1,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[1,6,7,8,4,5,2,3]=>[1,6,2,4,7,8,5,3]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[3,6,2,8,4,1,5,7]=>[3,6,2,4,8,1,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[8,3,7,5,4,1,6,2]=>[3,8,7,5,4,6,1,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[1,6,5,8,4,7,2,3]=>[1,6,5,4,2,8,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[8,2,6,7,4,5,1,3]=>[2,1,6,4,8,7,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[1,2,7,8,4,6,5,3]=>[7,8,1,4,2,6,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[6,3,8,4,1,2,5,7]=>[1,3,6,4,8,2,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[4,5,3,1,8,7,2,6]=>[4,8,5,3,1,7,2,6]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[3,1,5,8,6,4,2,7]=>[5,8,3,6,1,4,2,7]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[3,4,8,1,5,2,6,7]=>[3,4,1,5,8,2,6,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[4,6,8,1,5,2,3,7]=>[1,4,6,2,5,8,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[3,6,8,5,2,7,1,4]=>[3,6,2,5,8,1,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[6,1,8,2,7,4,3,5]=>[1,6,8,7,4,2,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[7,5,2,6,1,4,3,8]=>[5,2,7,6,1,4,3,8]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[8,1,6,5,7,2,3,4]=>[1,2,8,3,6,5,7,4]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[8,6,5,7,1,3,2,4]=>[1,6,3,8,5,7,2,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[7,1,6,5,2,8,4,3]=>[7,6,5,8,1,4,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[1,5,8,6,2,7,4,3]=>[5,8,6,7,1,4,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[6,4,7,1,3,8,2,5]=>[1,6,4,3,7,2,8,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[8,2,3,6,7,4,1,5]=>[2,6,3,4,8,7,1,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[8,7,5,2,4,3,1,6]=>[2,8,5,7,4,3,1,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[3,1,8,5,7,2,6,4]=>[5,3,8,7,1,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[6,8,5,3,4,2,1,7]=>[3,6,5,8,4,2,1,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[8,5,2,6,4,3,1,7]=>[5,6,8,4,2,3,1,7]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[5,7,2,4,8,1,6,3]=>[5,2,4,7,8,1,6,3]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[2,7,5,8,1,4,6,3]=>[7,2,1,5,4,8,6,3]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[2,7,3,5,8,1,6,4]=>[7,2,3,5,8,1,6,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[3,7,5,8,2,1,6,4]=>[7,3,5,8,2,6,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[3,2,6,7,1,8,5,4]=>[6,7,3,2,8,5,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[6,1,3,7,8,2,5,4]=>[6,1,7,3,2,8,5,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[5,4,7,8,1,2,6,3]=>[5,1,4,7,2,8,6,3]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[3,1,6,7,8,2,5,4]=>[6,3,1,7,2,8,5,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[1,3,6,7,8,2,5,4]=>[6,3,1,2,7,8,5,4]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[1,6,3,7,8,2,5,4]=>[6,3,7,1,2,8,5,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[3,2,6,7,8,4,1,5]=>[3,6,2,4,7,8,1,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[6,2,7,4,8,5,1,3]=>[2,6,7,8,1,4,5,3]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[6,2,1,4,7,8,5,3]=>[6,7,2,4,1,8,5,3]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[7,8,4,3,1,6,5,2]=>[7,4,8,6,3,5,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>[4,3,1]
[2,6,1,7,8,3,5,4]=>[6,2,7,1,8,3,5,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[6,7,1,3,8,5,4,2]=>[6,7,8,1,5,3,4,2]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[6,7,1,8,5,2,4,3]=>[6,1,7,8,5,4,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[2,6,4,7,8,1,3,5]=>[2,1,6,4,3,7,8,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[1,2,6,7,8,5,3,4]=>[1,6,7,2,3,8,5,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[1,6,7,4,8,3,2,5]=>[4,6,7,1,3,8,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[1,6,4,7,8,3,2,5]=>[4,6,1,7,3,8,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[1,4,6,7,8,3,2,5]=>[4,1,6,3,7,8,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[6,1,2,4,5,3,7,8]=>[4,1,2,6,5,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[8,1,7,3,2,6,4,5]=>[1,8,3,7,6,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[2,7,4,8,6,5,3,1]=>[7,8,6,4,2,5,3,1]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[7,6,4,3,1,5,8,2]=>[4,7,6,3,5,1,8,2]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[6,1,8,7,2,3,5,4]=>[8,1,2,6,7,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[8,6,1,2,7,3,4,5]=>[1,2,6,3,8,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[3,6,8,2,7,1,5,4]=>[6,3,2,8,1,7,5,4]=>[[1,4],[2,5],[3,7],[6,8]]=>[3,3,2]
[3,5,7,9,1,2,4,6,8,10]=>[1,3,2,5,4,7,6,9,8,10]=>[[1,2,4,6,8,10],[3,5,7,9]]=>[3,2,2,2,1]
[5,7,9,1,2,3,4,6,8,10]=>[1,2,3,5,4,7,6,9,8,10]=>[[1,2,3,4,6,8,10],[5,7,9]]=>[5,2,2,1]
[4,1,2,3,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10]=>[[1,2,3,5,6,7,8,9,10],[4]]=>[4,6]
[7,8,1,2,3,4,5,6,9,10]=>[1,2,3,4,5,7,8,6,9,10]=>[[1,2,3,4,5,6,8,9,10],[7]]=>[7,3]
[5,1,2,3,4,6,7,8,9,10]=>[1,2,3,5,4,6,7,8,9,10]=>[[1,2,3,4,6,7,8,9,10],[5]]=>[5,5]
[8,1,2,3,4,5,6,7,9,10]=>[1,2,3,4,5,6,8,7,9,10]=>[[1,2,3,4,5,6,7,9,10],[8]]=>[8,2]
[7,1,2,3,4,5,6,8,9,10]=>[1,2,3,4,5,7,6,8,9,10]=>[[1,2,3,4,5,6,8,9,10],[7]]=>[7,3]
[6,1,2,3,4,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]=>[[1,2,3,4,5,7,8,9,10],[6]]=>[6,4]
[7,8,1,3,4,6,2,5]=>[3,1,4,2,7,8,6,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[3,2,6,4,8,7,5,1]=>[8,6,7,3,2,4,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[4,7,1,8,6,5,3,2]=>[7,8,4,6,5,3,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[4,3,8,2,5,7,6,1]=>[8,4,3,2,5,7,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[4,1,2,6,8,7,5,3]=>[8,6,4,1,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[3,8,1,4,5,7,2,6]=>[3,4,1,5,2,8,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[3,8,1,4,2,5,7,6]=>[8,3,1,4,7,2,5,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[4,1,8,3,5,2,7,6]=>[8,4,1,7,3,5,2,6]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[3,8,1,2,5,4,7,6]=>[8,1,7,3,2,5,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[4,2,8,3,5,1,7,6]=>[8,4,2,3,7,5,1,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[4,2,8,3,5,7,6,1]=>[8,4,2,3,7,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[3,8,2,5,1,4,7,6]=>[8,3,2,1,5,7,4,6]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[4,2,8,5,7,1,3,6]=>[2,4,1,8,5,3,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[7,5,6,4,1,3,2,8]=>[5,1,7,6,4,3,2,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[7,8,6,4,1,3,2,5]=>[1,7,4,8,6,3,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[7,1,4,2,5,6,3,8]=>[4,1,7,5,2,6,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[7,3,2,1,4,6,5,8]=>[7,3,2,6,1,4,5,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[2,7,1,3,5,6,8,4]=>[5,2,1,3,7,6,8,4]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[2,3,6,1,5,8,7,4]=>[8,6,2,3,1,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[3,4,7,1,5,6,8,2]=>[3,4,5,1,7,6,8,2]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[3,6,7,4,1,2,8,5]=>[6,1,7,3,8,4,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[7,4,8,1,5,6,3,2]=>[4,7,5,1,8,6,3,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[2,6,8,1,5,3,7,4]=>[6,5,2,1,8,7,3,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[6,8,2,1,5,3,7,4]=>[6,5,2,8,7,1,3,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[4,8,2,5,3,6,7,1]=>[4,2,5,8,3,6,7,1]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[4,5,8,2,3,6,7,1]=>[2,4,5,3,6,8,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[2,4,8,5,3,6,7,1]=>[4,2,8,5,3,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[2,4,5,3,8,6,7,1]=>[4,8,2,5,3,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[3,5,4,2,8,6,7,1]=>[5,8,3,4,2,6,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[4,1,2,7,5,6,8,3]=>[7,1,4,5,2,6,8,3]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[7,5,2,4,3,8,6,1]=>[7,8,2,5,4,3,6,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[6,4,1,8,5,2,7,3]=>[6,4,8,5,7,1,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[4,3,2,6,8,5,7,1]=>[6,4,3,2,5,8,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[3,7,6,4,8,5,2,1]=>[7,6,8,3,4,5,2,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[6,1,8,3,5,4,7,2]=>[6,5,1,8,3,4,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[5,4,8,3,2,6,7,1]=>[5,4,3,2,8,6,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[7,2,5,6,4,1,8,3]=>[5,7,2,6,4,8,1,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[6,2,1,7,8,5,4,3]=>[6,7,8,5,2,1,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[7,4,6,8,3,2,5,1]=>[4,3,7,6,8,2,5,1]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[7,4,6,8,3,2,1,5]=>[4,3,7,6,8,2,1,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[1,5,8,6,3,7,2,4]=>[1,5,8,6,3,2,7,4]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[6,1,8,7,3,5,2,4]=>[1,8,3,6,7,2,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[6,1,2,7,3,5,4,8]=>[6,1,7,2,5,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[3,4,5,2,7,1,6,8]=>[3,4,5,2,1,7,6,8]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[1,4,6,7,3,2,5,8]=>[4,1,6,3,7,2,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[3,1,7,8,2,4,6,5]=>[7,3,1,2,8,4,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[3,4,5,2,7,1,8,6]=>[7,3,4,5,2,8,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[7,5,6,1,2,3,8,4]=>[5,1,2,7,6,8,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[8,4,6,7,3,1,2,5]=>[1,4,3,6,8,7,2,5]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[8,4,6,7,3,2,5,1]=>[4,3,6,8,7,2,5,1]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[3,8,7,6,2,4,5,1]=>[3,2,8,7,4,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[8,4,6,2,3,5,7,1]=>[2,4,3,6,8,5,7,1]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[8,4,6,2,3,1,5,7]=>[2,4,3,6,8,1,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[8,5,2,6,3,4,1,7]=>[2,5,6,8,3,4,1,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[3,4,1,7,5,2,8,6]=>[7,8,3,4,5,1,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[3,1,7,8,5,4,2,6]=>[3,7,8,5,1,4,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[3,4,5,2,8,1,6,7]=>[3,4,5,2,1,6,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[3,4,5,2,8,6,7,1]=>[3,8,4,5,2,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[3,4,5,2,6,8,1,7]=>[3,4,5,2,6,1,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[7,4,8,5,6,1,2,3]=>[1,2,4,7,8,5,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[6,2,8,5,1,3,4,7]=>[2,1,6,3,8,5,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[3,2,7,8,6,1,4,5]=>[3,2,7,1,4,8,6,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[6,8,2,5,1,3,7,4]=>[6,2,1,5,8,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[5,7,4,1,3,6,2,8]=>[5,1,4,7,3,6,2,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[4,2,7,5,1,8,3,6]=>[4,7,5,2,1,8,3,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[1,8,6,4,7,3,2,5]=>[4,6,8,1,7,3,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[4,7,1,8,6,3,5,2]=>[4,7,8,1,6,3,5,2]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[5,4,8,1,7,3,6,2]=>[5,4,8,1,3,7,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[4,3,8,6,2,1,7,5]=>[8,4,6,3,7,2,1,5]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[8,3,6,2,4,1,7,5]=>[6,3,2,8,7,4,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[7,2,8,5,3,1,6,4]=>[5,7,8,6,2,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[3,6,8,1,7,4,2,5]=>[3,6,1,8,7,4,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[7,8,6,3,1,4,5,2]=>[3,7,1,8,6,4,5,2]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[3,8,6,1,7,5,2,4]=>[3,8,1,6,7,5,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[2,7,5,4,8,3,1,6]=>[5,7,4,2,3,8,1,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[6,8,7,5,2,1,3,4]=>[2,1,8,6,7,5,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[7,6,2,8,5,1,3,4]=>[2,1,7,6,8,3,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[1,5,7,6,2,8,4,3]=>[7,5,6,8,1,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[1,6,5,2,7,8,4,3]=>[6,5,7,8,1,2,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[6,7,8,4,2,1,5,3]=>[4,6,7,8,5,2,1,3]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[6,1,4,7,2,5,8,3]=>[6,1,4,7,2,5,8,3]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[6,7,8,3,5,4,2,1]=>[6,3,7,8,5,4,2,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[2,7,8,3,6,5,4,1]=>[7,8,2,6,3,5,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[6,7,8,2,1,5,3,4]=>[2,6,1,7,8,5,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[8,6,2,1,7,5,4,3]=>[6,8,7,5,4,2,1,3]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[5,6,3,2,7,4,1,8]=>[5,6,7,3,2,4,1,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[8,2,4,7,1,5,3,6]=>[4,2,1,8,5,7,3,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[5,2,3,7,8,4,1,6]=>[5,2,3,7,4,8,1,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[2,5,6,7,3,8,4,1]=>[5,6,2,7,8,3,4,1]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[7,5,6,1,2,8,3,4]=>[1,5,2,7,6,8,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[8,5,7,2,4,1,6,3]=>[5,2,4,8,7,6,1,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[2,6,7,5,8,1,4,3]=>[6,2,7,1,5,8,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[2,5,8,7,6,3,4,1]=>[2,8,7,5,3,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[4,5,8,7,6,2,3,1]=>[2,8,7,4,5,6,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[7,4,8,2,1,5,6,3]=>[4,7,2,8,1,5,6,3]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[2,3,6,7,8,5,1,4]=>[2,6,3,1,7,8,5,4]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[8,3,7,1,6,4,2,5]=>[3,8,1,7,4,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[5,7,4,1,6,8,2,3]=>[1,5,4,7,6,2,8,3]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[1,4,6,8,7,3,2,5]=>[4,8,1,6,3,7,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[1,5,8,3,6,2,4,7]=>[3,5,1,2,6,8,4,7]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[6,5,1,2,8,3,4,7]=>[1,6,2,5,3,8,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[5,6,8,1,3,7,2,4]=>[1,5,3,6,2,8,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[3,7,4,8,6,1,2,5]=>[1,3,7,8,4,2,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[7,8,2,5,6,3,1,4]=>[2,5,3,7,8,6,1,4]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[8,5,2,1,3,7,4,6]=>[5,2,1,8,7,3,4,6]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[5,8,1,6,7,4,2,3]=>[1,5,6,8,2,7,4,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[3,6,4,2,8,1,5,7]=>[3,6,4,2,1,5,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[7,2,6,5,1,3,8,4]=>[7,2,6,1,5,8,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[5,2,8,3,1,7,4,6]=>[5,2,8,3,7,1,4,6]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[5,2,1,8,3,7,4,6]=>[5,2,8,1,7,3,4,6]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[7,5,2,8,3,1,4,6]=>[2,5,7,3,8,1,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[1,7,8,4,6,2,3,5]=>[1,2,7,4,3,8,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[7,1,8,4,6,2,3,5]=>[1,2,7,4,8,3,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[1,8,6,5,4,7,2,3]=>[1,6,8,5,4,2,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[5,8,6,1,4,7,2,3]=>[1,5,2,8,6,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[4,1,6,8,7,3,2,5]=>[4,8,1,6,7,3,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[4,1,6,2,5,7,8,3]=>[4,6,1,5,2,7,8,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[1,5,3,7,2,4,8,6]=>[7,3,5,1,2,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[3,4,8,2,5,7,1,6]=>[3,4,2,5,1,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[7,1,3,4,6,2,8,5]=>[7,3,1,4,6,8,2,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[4,7,2,8,5,3,1,6]=>[4,7,5,8,2,3,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[5,7,1,3,6,8,2,4]=>[1,5,3,2,7,6,8,4]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[1,4,7,5,8,6,3,2]=>[7,8,4,5,1,6,3,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[6,1,8,3,4,7,2,5]=>[1,6,3,4,8,2,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[1,8,6,3,5,2,7,4]=>[8,1,6,5,3,7,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[7,2,8,3,5,4,1,6]=>[2,7,5,8,3,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[1,8,2,4,3,5,7,6]=>[8,1,4,7,2,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[7,1,8,4,2,5,3,6]=>[4,5,7,8,1,2,3,6]=>[[1,2,3,6],[4,5,7,8]]=>[4,3,1]
[1,4,8,7,5,2,6,3]=>[4,8,7,5,1,6,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[5,8,7,4,2,1,3,6]=>[2,5,8,4,7,1,3,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[6,3,2,5,1,8,7,4]=>[8,6,3,5,2,7,1,4]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[6,2,1,3,8,7,4,5]=>[2,8,6,1,7,3,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[1,5,8,7,3,4,2,6]=>[1,8,5,3,4,7,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[1,2,5,4,8,7,3,6]=>[5,8,4,1,2,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[1,2,4,8,6,3,5,7]=>[4,1,8,2,3,6,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[8,5,3,2,1,4,7,6]=>[8,3,5,7,2,1,4,6]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[1,2,7,6,8,4,3,5]=>[1,7,6,8,2,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[1,6,3,2,5,7,8,4]=>[6,3,5,1,2,7,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[1,7,3,4,2,6,8,5]=>[7,1,6,3,4,2,8,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[1,6,3,5,8,4,2,7]=>[6,5,1,3,4,8,2,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[1,2,5,8,4,6,3,7]=>[5,4,1,2,6,8,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[3,1,8,5,2,6,4,7]=>[3,8,5,6,1,2,4,7]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[4,8,6,3,2,7,5,1]=>[8,4,6,7,3,2,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[1,7,6,4,3,8,5,2]=>[7,6,8,4,3,1,5,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[1,6,3,5,7,8,4,2]=>[6,5,1,3,7,8,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[1,5,6,3,2,7,8,4]=>[5,6,7,1,3,2,8,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[1,2,7,6,8,4,5,3]=>[7,1,6,4,2,8,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[6,8,5,2,1,7,4,3]=>[6,5,8,7,4,2,1,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[5,3,7,2,6,4,1,8]=>[5,7,3,2,6,4,1,8]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[5,3,8,2,6,1,7,4]=>[5,6,3,2,8,7,1,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[7,6,2,5,3,4,1,8]=>[2,7,3,6,5,4,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[7,6,2,4,5,3,1,8]=>[4,2,7,6,5,3,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[7,6,2,3,5,4,1,8]=>[7,2,3,6,5,4,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[8,4,2,7,1,6,3,5]=>[4,2,8,1,7,3,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[7,8,4,3,1,5,6,2]=>[4,3,7,8,5,1,6,2]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[8,7,6,1,3,5,4,2]=>[8,3,1,7,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[8,7,6,1,5,4,2,3]=>[1,8,7,2,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[5,3,7,2,8,1,6,4]=>[5,7,3,2,8,1,6,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[8,3,5,4,2,1,6,7]=>[3,5,8,4,2,1,6,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[7,8,4,3,1,5,2,6]=>[4,3,7,8,5,1,2,6]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[8,6,3,7,1,5,2,4]=>[3,1,6,8,7,2,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[8,7,6,1,2,5,3,4]=>[1,8,2,3,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[8,7,6,1,2,5,4,3]=>[8,7,1,2,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[8,7,6,1,4,2,5,3]=>[8,1,4,7,6,5,2,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[4,7,5,8,6,1,3,2]=>[7,1,8,4,5,6,3,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[6,5,7,3,8,4,1,2]=>[1,6,5,7,8,3,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[8,6,7,1,5,3,2,4]=>[1,6,8,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[5,7,8,1,3,4,2,6]=>[3,1,5,4,7,8,2,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[7,8,5,1,3,4,2,6]=>[3,1,5,7,8,4,2,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[7,3,5,6,4,8,1,2]=>[1,5,3,7,6,4,8,2]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[1,7,3,8,2,5,6,4]=>[7,3,1,5,2,8,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[1,5,7,3,8,2,6,4]=>[5,7,1,8,3,2,6,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[7,1,5,3,6,2,4,8]=>[1,7,3,5,2,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[1,7,3,5,8,4,2,6]=>[5,7,1,3,4,8,2,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[1,7,8,5,3,6,2,4]=>[1,7,3,8,5,2,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[1,7,5,8,3,4,2,6]=>[1,7,5,3,4,8,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[7,5,6,8,1,3,4,2]=>[3,1,5,7,6,8,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[5,3,4,7,8,1,2,6]=>[1,3,5,4,2,7,8,6]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[5,3,7,6,8,1,2,4]=>[1,3,7,5,2,6,8,4]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[3,7,1,2,5,8,4,6]=>[1,7,3,2,5,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[3,1,2,7,5,8,4,6]=>[5,7,1,3,2,4,8,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[3,1,2,5,7,8,6,4]=>[7,5,1,3,2,8,6,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[7,3,5,1,2,6,4,8]=>[5,1,3,7,6,2,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[5,3,7,1,2,6,8,4]=>[5,1,7,3,2,6,8,4]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[7,4,8,2,5,6,1,3]=>[2,4,1,7,5,8,6,3]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[7,5,8,4,6,2,1,3]=>[2,5,7,4,8,6,1,3]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[6,1,4,8,5,2,7,3]=>[6,8,1,4,5,7,2,3]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[5,8,1,2,3,6,7,4]=>[5,1,2,6,3,8,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[3,4,5,8,1,6,7,2]=>[3,4,5,6,1,8,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[4,5,1,8,2,6,7,3]=>[4,5,8,1,2,6,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[4,3,2,7,8,6,1,5]=>[4,7,3,2,1,8,6,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[6,8,7,4,3,1,2,5]=>[1,4,8,6,7,3,2,5]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[8,1,7,4,3,2,5,6]=>[4,1,8,7,3,2,5,6]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[3,1,6,8,5,2,7,4]=>[6,8,3,1,5,7,2,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[4,8,1,3,2,6,7,5]=>[8,4,1,3,2,6,7,5]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[5,4,8,1,2,6,7,3]=>[5,1,4,6,2,8,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[4,8,1,2,3,6,7,5]=>[6,1,2,4,3,8,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[4,1,5,8,2,6,7,3]=>[4,5,6,1,2,8,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[5,1,8,2,4,6,7,3]=>[5,1,4,2,8,6,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[2,6,1,8,5,3,7,4]=>[6,8,2,5,7,1,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[3,8,1,2,4,6,7,5]=>[6,1,3,2,4,8,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[4,1,8,2,3,6,7,5]=>[8,1,4,2,3,6,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[1,5,3,8,2,4,6,7]=>[3,5,1,2,4,6,8,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[8,6,2,7,5,1,4,3]=>[6,2,8,7,5,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[8,6,2,5,3,7,4,1]=>[8,2,6,5,7,3,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[2,7,1,8,6,3,5,4]=>[7,2,8,6,1,5,3,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[5,7,6,1,3,2,8,4]=>[7,5,1,6,8,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[5,7,3,2,6,1,4,8]=>[3,5,2,7,1,6,4,8]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[8,1,5,4,6,3,7,2]=>[8,1,5,4,6,3,7,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[4,7,5,1,8,6,2,3]=>[1,7,8,4,5,6,2,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[8,4,6,3,1,7,2,5]=>[4,3,6,8,1,7,2,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[8,4,2,5,6,3,7,1]=>[4,2,8,5,6,3,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[10,8,6,4,2,1,3,5,7,9]=>[2,4,6,8,10,1,3,5,7,9]=>[[1,3,5,7,9],[2,4,6,8,10]]=>[2,2,2,2,2]
[6,2,8,3,1,4,5,7]=>[2,3,6,1,8,4,5,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[2,7,8,3,1,4,5,6]=>[2,3,1,7,4,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[1,7,8,5,3,2,6,4]=>[5,7,8,6,1,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[1,8,5,3,2,6,7,4]=>[5,8,3,6,1,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[1,7,8,5,6,3,2,4]=>[1,7,5,3,8,6,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[1,8,5,6,3,2,7,4]=>[5,8,6,1,7,3,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[1,5,6,7,3,2,8,4]=>[5,6,7,1,8,3,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[1,7,5,2,3,4,8,6]=>[7,1,2,8,5,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[1,4,8,6,2,3,5,7]=>[1,4,2,8,3,6,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[1,4,5,8,6,7,2,3]=>[1,8,2,4,5,6,7,3]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[1,8,4,5,6,7,2,3]=>[1,4,2,5,8,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[1,2,8,6,7,4,3,5]=>[1,8,6,2,7,4,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[1,2,8,6,3,4,5,7]=>[1,2,6,8,3,4,5,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[1,2,7,4,3,8,5,6]=>[4,7,8,1,2,3,5,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[1,2,7,8,4,3,5,6]=>[1,2,7,8,4,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[1,6,7,3,5,2,8,4]=>[6,7,1,3,5,8,2,4]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[1,6,7,8,3,4,2,5]=>[1,6,3,4,7,8,2,5]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[1,7,8,5,6,2,3,4]=>[1,2,7,3,5,8,6,4]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[1,8,6,2,3,5,7,4]=>[6,1,2,8,5,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[1,7,8,4,2,3,5,6]=>[1,2,4,7,8,3,5,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[1,7,8,3,4,2,5,6]=>[1,3,7,4,2,8,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[1,5,8,6,7,2,3,4]=>[1,2,8,3,5,6,7,4]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[1,2,7,4,6,3,8,5]=>[7,6,1,4,2,8,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[1,2,8,6,7,3,4,5]=>[1,2,8,3,6,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,7,4,5,2,3,8,6]=>[7,1,8,2,4,5,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[1,7,8,4,5,2,3,6]=>[1,2,7,4,5,8,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[8,2,5,6,3,4,1,7]=>[2,5,3,6,8,4,1,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[6,8,7,2,3,4,1,5]=>[2,3,4,8,6,7,1,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[3,8,7,5,2,6,1,4]=>[3,2,8,7,5,1,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[8,2,4,6,3,5,1,7]=>[4,2,3,6,8,5,1,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[5,1,8,3,6,7,4,2]=>[5,8,3,1,6,7,4,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[5,2,8,3,6,7,4,1]=>[5,8,2,3,6,7,4,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[3,1,8,4,6,2,7,5]=>[8,3,4,6,1,7,2,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[1,8,7,6,4,3,5,2]=>[4,8,7,6,3,1,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[6,1,8,7,5,3,4,2]=>[8,1,6,7,5,3,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[6,8,7,3,2,4,1,5]=>[3,2,8,6,7,4,1,5]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[2,8,7,6,4,5,1,3]=>[2,1,8,7,6,4,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[4,8,7,6,2,5,1,3]=>[2,4,8,7,1,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[4,8,7,6,3,1,5,2]=>[4,8,7,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[3,5,2,7,4,6,8,1]=>[5,3,2,7,4,6,8,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[3,7,5,2,4,8,6,1]=>[7,3,8,2,5,4,6,1]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[8,4,5,6,1,3,7,2]=>[4,1,5,6,8,3,7,2]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[3,8,5,2,1,4,6,7]=>[3,2,5,8,1,4,6,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[7,6,4,1,8,2,5,3]=>[4,7,6,8,1,5,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[8,2,1,6,7,4,3,5]=>[2,8,6,1,4,7,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[7,6,8,1,2,5,4,3]=>[7,6,1,2,8,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[1,2,9,3,4,5,6,8,7]=>[9,1,2,3,4,8,5,6,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9]
[1,2,3,8,4,5,9,6,7]=>[1,8,2,9,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[1,2,3,4,9,5,6,8,7]=>[9,1,2,8,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9]
[1,2,3,4,5,9,6,8,7]=>[9,1,8,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9]
[1,2,10,3,4,5,6,7,9,8]=>[10,1,2,3,4,5,9,6,7,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10]
[1,2,3,4,10,5,6,7,9,8]=>[10,1,2,3,9,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10]
[1,2,3,4,5,10,6,7,9,8]=>[10,1,2,9,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10]
[2,7,4,3,1,8,5,6]=>[4,7,8,2,3,1,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[7,4,6,5,8,2,1,3]=>[2,7,4,6,5,8,1,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[1,6,2,5,8,7,4,3]=>[8,6,5,1,7,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[8,4,3,1,6,5,2,7]=>[4,8,6,3,5,1,2,7]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[6,4,8,2,3,1,5,7]=>[2,4,6,3,1,8,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[3,8,4,6,1,5,2,7]=>[3,4,6,8,1,5,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[4,5,1,8,2,6,3,7]=>[4,5,1,8,6,2,3,7]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[8,6,2,5,4,7,1,3]=>[2,1,8,6,5,4,7,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[2,8,5,7,6,3,1,4]=>[2,8,7,3,5,6,1,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[8,5,3,1,7,6,4,2]=>[8,5,7,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[8,3,5,6,1,4,7,2]=>[3,5,1,6,8,4,7,2]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[4,5,8,3,6,2,7,1]=>[4,5,3,6,8,2,7,1]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[7,2,1,6,5,3,8,4]=>[7,6,5,2,8,1,3,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[2,4,6,7,5,1,8,3]=>[6,4,2,7,5,8,1,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[7,6,4,1,5,3,2,8]=>[4,7,6,5,3,1,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[6,8,7,4,1,5,3,2]=>[4,8,6,7,5,3,1,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[3,1,2,8,5,7,4,6]=>[1,8,5,3,2,4,7,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[7,3,1,2,5,8,4,6]=>[1,7,3,5,2,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[8,3,5,7,2,1,4,6]=>[3,2,5,1,8,7,4,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[7,3,1,2,8,4,5,6]=>[1,3,7,2,8,4,5,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[7,2,4,5,3,8,1,6]=>[4,2,5,7,3,1,8,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[8,4,2,5,6,7,3,1]=>[4,5,2,8,6,7,3,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[5,4,1,6,3,7,8,2]=>[5,4,6,3,1,7,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[4,5,1,3,6,7,8,2]=>[4,1,5,3,6,7,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[5,1,7,6,3,4,8,2]=>[7,1,5,6,3,4,8,2]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[6,1,7,5,4,8,2,3]=>[1,6,7,5,4,2,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[3,8,6,5,7,2,4,1]=>[3,6,8,2,5,7,4,1]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[6,8,1,4,7,3,5,2]=>[6,1,4,3,8,7,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[5,7,2,1,8,4,3,6]=>[5,4,7,8,2,1,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[5,7,1,6,8,3,2,4]=>[1,5,7,6,3,8,2,4]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[6,4,1,7,3,8,2,5]=>[4,6,3,7,1,2,8,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[8,2,5,6,7,1,4,3]=>[5,2,1,6,8,7,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[6,2,4,7,8,1,3,5]=>[2,1,4,6,3,7,8,5]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[6,1,4,3,2,8,5,7]=>[6,4,8,1,3,2,5,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[2,7,4,8,6,1,5,3]=>[7,2,8,4,6,1,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[3,7,8,6,4,2,5,1]=>[3,7,8,4,6,2,5,1]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[7,8,1,2,5,6,4,3]=>[5,7,1,2,8,6,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[4,2,8,5,1,6,3,7]=>[4,5,8,2,6,1,3,7]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[6,5,8,1,4,2,3,7]=>[1,6,2,5,4,8,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[2,3,1,4,8,5,7,6]=>[8,2,7,3,1,4,5,6]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[4,2,6,1,5,8,7,3]=>[8,4,6,2,1,5,7,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[3,1,8,5,7,6,4,2]=>[8,7,3,5,6,1,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[5,1,8,7,4,6,3,2]=>[5,8,7,4,1,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[3,8,6,2,5,1,4,7]=>[3,2,1,8,6,5,4,7]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[6,8,7,2,5,1,4,3]=>[8,2,1,6,7,5,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[5,7,2,8,6,1,4,3]=>[7,2,5,8,6,1,4,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[6,4,8,7,5,1,3,2]=>[8,1,6,7,4,5,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[2,5,7,6,1,8,3,4]=>[2,7,5,1,6,8,3,4]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[1,5,6,2,8,7,4,3]=>[8,5,6,7,1,4,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[2,5,3,8,7,6,4,1]=>[8,7,5,6,2,3,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[1,5,3,2,8,7,6,4]=>[8,7,5,6,3,1,2,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[6,1,4,3,8,7,5,2]=>[8,6,7,4,1,3,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[4,5,2,8,7,6,3,1]=>[8,7,4,5,6,2,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[6,4,1,8,7,5,2,3]=>[1,8,6,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[4,2,5,1,8,6,3,7]=>[4,8,5,2,6,1,3,7]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[4,2,8,5,1,7,3,6]=>[4,5,8,2,1,7,3,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[4,8,7,1,3,6,5,2]=>[8,4,1,7,3,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[3,8,1,4,7,6,5,2]=>[8,7,3,4,1,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[3,1,8,6,2,5,4,7]=>[3,8,6,1,5,2,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[2,7,1,8,3,6,5,4]=>[7,8,2,6,1,5,3,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[6,2,3,8,7,5,4,1]=>[8,6,7,2,5,3,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[2,7,8,3,4,1,5,6]=>[2,3,4,7,1,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[2,8,6,7,5,4,3,1]=>[8,6,7,2,5,4,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[5,3,6,2,8,4,7,1]=>[5,6,3,2,8,4,7,1]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[8,1,6,3,7,4,5,2]=>[8,1,3,6,7,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[2,6,5,7,3,8,4,1]=>[6,5,7,2,8,3,4,1]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[6,8,2,7,4,1,5,3]=>[6,2,8,4,7,5,1,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[5,8,3,4,6,1,7,2]=>[3,5,4,6,8,7,1,2]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[6,1,7,4,2,5,8,3]=>[4,6,7,5,1,2,8,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[4,8,3,1,5,7,6,2]=>[8,4,3,7,1,5,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[5,3,8,2,7,1,6,4]=>[5,8,3,2,1,7,6,4]=>[[1,4],[2,6],[3,7],[5,8]]=>[3,2,3]
[5,3,4,8,2,7,1,6]=>[3,5,4,2,1,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[8,3,4,5,2,7,1,6]=>[3,4,5,2,8,1,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[5,3,4,7,1,6,8,2]=>[3,5,4,7,1,6,8,2]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[8,2,6,7,1,5,3,4]=>[2,6,1,3,8,7,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[7,1,5,2,6,3,4,8]=>[1,7,2,5,6,3,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[3,7,1,5,2,6,8,4]=>[7,3,1,5,6,2,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[6,7,1,8,3,4,5,2]=>[3,1,6,7,8,4,5,2]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[3,8,7,1,5,2,6,4]=>[8,3,1,7,5,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[3,6,5,2,8,7,1,4]=>[3,8,6,2,5,1,7,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[3,7,1,6,8,4,5,2]=>[3,7,4,1,6,8,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[3,8,5,2,6,7,1,4]=>[3,2,5,8,1,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[3,7,1,4,6,5,2,8]=>[7,3,4,1,6,5,2,8]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[6,8,3,4,7,1,5,2]=>[3,4,6,8,1,7,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[3,8,4,5,2,7,1,6]=>[3,4,5,8,2,1,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[8,3,5,2,7,1,6,4]=>[5,3,8,2,7,1,6,4]=>[[1,4],[2,6],[3,7],[5,8]]=>[3,2,3]
[7,1,8,4,6,3,5,2]=>[7,1,4,8,3,6,5,2]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[3,4,8,5,2,7,1,6]=>[3,4,8,5,2,1,7,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[7,1,5,2,8,6,3,4]=>[1,7,8,5,2,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[8,6,3,4,7,1,5,2]=>[3,4,6,8,7,1,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[3,5,2,6,7,1,4,8]=>[3,2,5,1,6,7,4,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[3,5,2,8,6,7,1,4]=>[3,2,8,5,1,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[3,6,8,7,1,4,5,2]=>[3,8,1,4,6,7,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[3,5,2,6,8,7,1,4]=>[3,8,2,5,1,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[2,3,7,6,5,8,1,4]=>[2,7,6,3,1,5,8,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[4,3,5,6,7,8,9,1,2]=>[1,4,3,5,6,7,8,9,2]=>[[1,2,5,6,7,8,9],[3],[4]]=>[4,5]
[6,7,8,5,4,3,2,1,9]=>[6,7,8,5,4,3,2,1,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>[6,3]
[6,5,7,8,4,3,2,1,9]=>[6,5,7,8,4,3,2,1,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>[6,3]
[6,5,4,7,8,3,2,1,9]=>[6,5,4,7,8,3,2,1,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>[6,3]
[6,5,4,3,7,8,2,1,9]=>[6,5,4,3,7,8,2,1,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>[6,3]
[6,5,4,3,2,7,8,1,9]=>[6,5,4,3,2,7,8,1,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>[6,3]
[7,8,9,6,5,4,3,2,1,10]=>[7,8,9,6,5,4,3,2,1,10]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>[7,3]
[7,6,8,9,5,4,3,2,1,10]=>[7,6,8,9,5,4,3,2,1,10]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>[7,3]
[7,6,5,8,9,4,3,2,1,10]=>[7,6,5,8,9,4,3,2,1,10]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>[7,3]
[7,6,5,4,8,9,3,2,1,10]=>[7,6,5,4,8,9,3,2,1,10]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>[7,3]
[7,6,5,4,3,8,9,2,1,10]=>[7,6,5,4,3,8,9,2,1,10]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>[7,3]
[6,5,4,3,2,7,8,9,1]=>[6,5,4,3,2,7,8,9,1]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>[6,3]
[7,6,5,4,3,2,8,9,1,10]=>[7,6,5,4,3,2,8,9,1,10]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>[7,3]
[6,2,4,3,7,5,1,8]=>[6,7,2,4,3,5,1,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[1,3,6,4,7,5,2,8]=>[6,7,3,1,4,5,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[6,2,5,3,7,4,1,8]=>[6,5,2,7,3,4,1,8]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[6,3,8,2,5,4,1,7]=>[6,3,2,8,5,4,1,7]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[3,2,8,4,6,5,1,7]=>[3,8,6,2,4,5,1,7]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[1,4,7,3,6,5,2,8]=>[7,4,3,1,6,5,2,8]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[8,2,5,4,1,6,3,7]=>[2,8,5,4,6,1,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[8,2,6,4,1,5,3,7]=>[2,8,4,6,5,1,3,7]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[6,2,1,4,8,5,3,7]=>[6,2,8,4,1,5,3,7]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[5,2,1,4,8,6,3,7]=>[5,8,2,4,1,6,3,7]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[3,2,1,5,8,6,4,7]=>[5,8,3,2,1,6,4,7]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[4,2,8,3,7,5,1,6]=>[4,8,2,3,7,5,1,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[5,2,8,3,7,4,1,6]=>[5,2,8,3,7,4,1,6]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[7,3,1,4,8,5,2,6]=>[3,7,4,8,1,5,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[1,3,7,4,8,5,2,6]=>[3,7,8,1,4,5,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[8,2,6,3,7,4,1,5]=>[2,8,3,6,7,4,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[3,2,7,4,8,5,1,6]=>[3,7,8,2,4,5,1,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[7,2,4,3,8,5,1,6]=>[2,7,8,4,3,5,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[6,2,4,3,8,5,1,7]=>[6,2,8,4,3,5,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[5,2,4,3,8,6,1,7]=>[5,8,2,4,3,6,1,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[6,2,4,3,1,7,5,8]=>[6,7,2,4,3,1,5,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[8,5,1,3,6,4,2,7]=>[5,1,8,6,3,4,2,7]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[8,4,1,3,6,5,2,7]=>[4,8,1,6,3,5,2,7]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[1,5,2,4,7,6,3,8]=>[7,5,1,4,2,6,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[6,2,5,3,1,7,4,8]=>[6,5,2,7,3,1,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[4,2,6,3,1,7,5,8]=>[6,4,7,2,3,1,5,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[7,2,6,3,1,5,4,8]=>[7,2,6,3,5,1,4,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[1,5,2,4,8,6,3,7]=>[5,8,1,4,2,6,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[8,4,1,3,7,5,2,6]=>[4,8,1,3,7,5,2,6]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[6,2,1,5,3,7,4,8]=>[6,5,2,7,1,3,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[3,2,1,6,4,7,5,8]=>[6,7,3,2,1,4,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[2,8,1,7,4,5,6,3]=>[8,2,1,4,5,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[6,3,5,2,4,8,1,7]=>[3,2,6,5,4,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[5,7,1,2,6,4,3,8]=>[5,7,1,6,2,4,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[7,5,1,2,6,4,3,8]=>[5,7,1,6,4,2,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[5,2,1,6,8,4,3,7]=>[5,6,2,8,1,4,3,7]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[3,8,5,1,2,6,4,7]=>[1,8,3,5,6,2,4,7]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[5,2,1,8,6,4,3,7]=>[5,8,6,4,2,1,3,7]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[7,1,5,3,2,6,8,4]=>[5,7,6,1,3,2,8,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[3,1,5,7,8,6,2,4]=>[3,7,1,5,2,8,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[6,7,5,4,3,2,1,8,9]=>[6,7,5,4,3,2,1,8,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>[6,3]
[6,2,3,5,8,7,4,1]=>[8,6,2,3,5,7,4,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[8,6,2,3,1,5,7,4]=>[6,2,3,8,5,1,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[7,3,5,2,1,4,8,6]=>[7,3,2,8,5,1,4,6]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[1,8,5,2,4,7,3,6]=>[5,1,4,8,2,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[2,5,1,7,4,8,6,3]=>[7,5,8,2,4,1,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[1,4,2,7,3,6,8,5]=>[7,4,1,6,2,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[7,3,4,2,1,5,8,6]=>[7,3,4,8,2,1,5,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[1,4,3,8,6,5,2,7]=>[6,8,4,3,1,5,2,7]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[1,4,7,5,3,8,6,2]=>[7,8,4,5,1,3,6,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[6,8,5,2,1,3,7,4]=>[6,2,5,8,7,1,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[2,7,8,6,4,1,5,3]=>[7,2,8,4,6,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[2,1,6,4,7,8,5,3]=>[6,7,4,2,1,8,5,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[1,6,3,2,4,7,8,5]=>[6,3,7,1,2,4,8,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[1,2,3,7,5,8,4,6]=>[5,7,1,2,3,4,8,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[1,8,5,3,2,4,7,6]=>[8,3,5,7,1,2,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[6,7,8,2,5,1,4,3]=>[6,2,1,7,8,5,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[7,4,8,6,2,3,5,1]=>[2,4,7,8,3,6,5,1]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[3,6,7,1,8,4,2,5]=>[3,6,4,7,8,1,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[7,2,4,6,1,8,5,3]=>[7,4,2,6,8,5,1,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[1,6,7,2,8,3,5,4]=>[6,1,7,8,2,5,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[1,3,8,2,7,4,5,6]=>[3,1,8,2,4,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[7,1,4,3,8,5,6,2]=>[7,1,8,4,3,5,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[3,4,1,5,8,6,2,7]=>[3,8,4,5,1,6,2,7]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[6,4,8,1,5,7,2,3]=>[1,4,6,5,2,8,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[5,8,4,2,6,3,7,1]=>[5,4,6,8,2,3,7,1]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[2,7,4,1,3,6,8,5]=>[7,2,1,6,4,3,8,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[5,2,1,8,4,6,7,3]=>[5,8,2,1,4,6,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[2,8,1,3,7,4,6,5]=>[8,2,7,1,3,4,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[2,6,1,3,4,8,7,5]=>[8,6,2,1,3,7,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[1,2,6,3,5,7,8,4]=>[6,1,5,2,3,7,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[6,8,7,9,5,4,3,2,1]=>[8,6,7,9,5,4,3,2,1]=>[[1,7,9],[2],[3],[4],[5],[6],[8]]=>[6,2,1]
[1,2,8,4,6,3,5,7]=>[1,4,8,2,3,6,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[1,2,8,4,6,3,7,5]=>[8,1,6,4,2,7,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[4,6,3,5,7,8,1,2]=>[1,4,3,6,5,7,8,2]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[2,3,6,8,4,1,7,5]=>[6,8,2,3,4,7,1,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[1,2,6,8,4,7,5,3]=>[6,8,4,1,2,7,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[1,7,2,8,6,3,5,4]=>[7,1,8,6,5,2,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[2,3,8,5,4,7,1,6]=>[5,2,8,3,4,1,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[1,2,8,4,7,3,5,6]=>[1,4,8,2,3,5,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[2,6,1,4,8,3,7,5]=>[6,8,2,1,4,3,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[2,5,6,1,4,8,7,3]=>[8,5,2,1,6,4,7,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[8,4,2,3,7,1,6,5]=>[8,2,4,3,7,1,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[5,2,4,8,7,3,1,6]=>[5,8,2,4,3,7,1,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[8,3,2,6,7,4,1,5]=>[3,8,2,4,6,7,1,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[6,5,7,3,1,2,8,4]=>[6,1,5,7,8,3,2,4]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[3,8,2,4,1,7,6,5]=>[8,7,3,2,4,6,1,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[3,5,8,2,6,7,1,4]=>[3,2,5,1,6,8,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[3,2,4,6,7,8,1,5]=>[3,2,4,1,6,7,8,5]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[3,7,2,4,1,5,6,8]=>[3,2,4,1,7,5,6,8]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[3,2,4,6,7,1,5,8]=>[3,2,4,1,6,7,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[5,2,6,8,1,3,7,4]=>[5,2,6,1,8,3,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[4,8,1,6,3,7,5,2]=>[8,4,6,1,7,3,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[7,1,5,2,6,4,3,8]=>[7,5,1,6,4,2,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[8,3,5,2,6,1,4,7]=>[3,2,5,1,8,6,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[1,8,5,6,2,7,4,3]=>[8,5,1,6,7,4,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[8,3,2,4,6,7,1,5]=>[3,2,4,1,8,6,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[3,7,2,4,6,1,5,8]=>[3,2,4,1,7,6,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[3,2,4,7,1,5,6,8]=>[3,2,4,1,5,7,6,8]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[3,8,2,4,1,5,6,7]=>[3,2,4,1,5,8,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[8,3,5,7,2,6,1,4]=>[3,2,5,1,8,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[4,2,7,6,1,8,5,3]=>[7,6,4,8,2,5,1,3]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[7,2,4,8,6,3,5,1]=>[2,7,8,4,3,6,5,1]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[7,3,2,1,8,5,4,6]=>[5,7,8,3,2,1,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[3,6,5,2,1,8,4,7]=>[6,5,3,2,8,1,4,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[3,2,6,5,1,7,4,8]=>[6,5,3,2,7,1,4,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[4,3,2,7,1,6,5,8]=>[7,4,3,2,1,6,5,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[4,3,2,8,1,6,7,5]=>[6,4,3,2,1,8,7,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[6,8,5,2,7,3,4,1]=>[2,6,5,8,7,3,4,1]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[2,5,4,6,1,8,7,3]=>[8,5,4,2,6,7,1,3]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[6,7,2,4,8,3,5,1]=>[2,6,4,7,3,8,5,1]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[5,4,7,8,2,3,6,1]=>[2,5,4,3,7,8,6,1]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[3,6,7,4,5,2,8,1]=>[3,6,4,7,5,2,8,1]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[4,5,2,3,7,6,8,1]=>[7,2,4,5,3,6,8,1]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[6,3,5,1,7,8,4,2]=>[6,3,5,7,8,1,4,2]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[5,3,7,6,4,2,8,1]=>[7,5,6,3,4,2,8,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[8,4,7,3,1,5,6,2]=>[4,3,8,1,7,5,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[7,4,8,6,2,5,1,3]=>[2,4,7,8,1,6,5,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[5,8,1,7,6,4,2,3]=>[1,8,5,7,6,2,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[5,6,7,1,8,3,4,2]=>[5,1,6,7,8,3,4,2]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[6,1,5,3,7,8,4,2]=>[6,5,7,1,3,8,4,2]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[1,4,7,5,6,8,3,2]=>[7,4,1,5,6,8,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[5,6,7,4,8,1,3,2]=>[5,1,6,7,4,8,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[8,1,2,6,4,5,7,3]=>[8,1,2,4,6,5,7,3]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[8,2,7,6,5,3,1,4]=>[2,8,7,6,3,5,1,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[3,2,7,6,5,8,1,4]=>[3,7,6,2,1,5,8,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[1,3,7,6,5,2,8,4]=>[7,6,5,3,1,8,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[8,3,7,6,5,2,1,4]=>[3,8,7,2,6,5,1,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[1,2,7,4,5,8,3,6]=>[1,7,4,2,5,3,8,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[6,1,8,4,5,3,7,2]=>[6,4,1,8,5,3,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[4,6,2,5,1,8,7,3]=>[8,4,6,2,5,7,1,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[5,1,4,6,2,8,7,3]=>[8,5,4,1,6,7,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[7,5,2,4,6,8,1,3]=>[2,1,5,7,4,6,8,3]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[7,3,5,2,1,6,8,4]=>[5,3,7,6,2,1,8,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[8,5,1,2,6,3,7,4]=>[5,6,1,8,7,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[2,5,6,3,8,1,7,4]=>[5,6,2,8,3,1,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[7,6,5,2,1,4,8,3]=>[7,2,6,5,4,1,8,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[1,5,8,7,4,6,3,2]=>[5,8,4,7,1,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[7,4,8,6,5,1,3,2]=>[7,1,8,6,4,5,3,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[2,7,6,8,5,1,4,3]=>[7,2,6,8,1,5,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[1,6,4,5,7,3,8,2]=>[6,4,1,5,7,3,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[7,3,1,6,8,2,5,4]=>[7,3,1,6,8,2,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[7,1,6,8,5,2,4,3]=>[7,1,6,8,2,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[3,5,8,7,6,4,1,2]=>[1,8,7,5,3,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[1,5,7,8,6,2,4,3]=>[7,1,5,8,2,6,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[2,7,5,8,6,1,4,3]=>[7,2,8,5,1,6,4,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[4,3,6,2,1,7,8,5]=>[6,4,3,7,2,1,8,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[3,6,2,1,4,7,8,5]=>[6,3,2,7,1,4,8,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[5,8,1,7,6,4,3,2]=>[8,5,7,6,4,1,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[8,5,3,2,4,1,7,6]=>[8,3,5,7,2,4,1,6]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[7,5,2,4,3,6,8,1]=>[2,7,5,4,3,6,8,1]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[8,5,1,4,6,3,2,7]=>[5,1,8,4,6,3,2,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[8,5,1,6,3,4,2,7]=>[5,1,6,8,3,4,2,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[8,4,3,6,1,5,2,7]=>[4,3,6,8,1,5,2,7]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[8,4,3,5,2,1,7,6]=>[8,4,3,7,5,2,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[6,4,3,2,8,7,1,5]=>[4,8,6,3,2,1,7,5]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[8,5,1,4,3,7,2,6]=>[1,8,5,4,3,2,7,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[8,5,4,2,1,3,7,6]=>[8,2,5,7,4,1,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[8,1,6,3,7,4,2,5]=>[1,8,6,3,7,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[5,3,8,2,6,7,1,4]=>[3,5,2,1,6,8,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[7,3,6,2,4,5,8,1]=>[3,2,4,7,6,5,8,1]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[7,6,4,1,3,2,8,5]=>[7,6,1,8,4,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[6,2,5,7,4,3,8,1]=>[6,5,2,7,4,3,8,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[6,2,5,4,8,7,1,3]=>[2,8,6,1,5,4,7,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[4,2,7,6,8,5,1,3]=>[2,7,6,4,1,8,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[7,1,6,3,8,5,2,4]=>[1,7,6,8,3,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[7,2,6,8,1,3,5,4]=>[7,2,1,3,6,8,5,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[6,1,5,8,7,2,4,3]=>[8,1,6,5,2,7,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[4,6,7,3,1,8,5,2]=>[6,4,7,8,3,5,1,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[4,2,6,3,1,8,7,5]=>[8,6,4,7,2,3,1,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,5,3,8,4,6,2,7]=>[5,1,8,3,4,6,2,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[7,2,3,5,8,4,1,6]=>[2,7,3,5,4,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[8,7,4,2,1,5,6,3]=>[4,8,2,7,5,1,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[8,7,4,1,3,2,6,5]=>[8,1,7,4,6,3,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[7,1,4,8,3,6,2,5]=>[1,7,4,3,2,8,6,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[4,1,8,5,7,6,2,3]=>[1,8,4,7,5,2,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[6,1,5,8,3,4,2,7]=>[6,1,3,5,4,8,2,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[6,7,5,1,3,2,4,8]=>[1,6,3,7,5,2,4,8]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[4,2,6,8,3,7,1,5]=>[4,2,6,3,1,8,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[6,8,5,1,4,2,3,7]=>[1,6,2,5,8,4,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[1,7,8,5,3,4,6,2]=>[3,1,7,8,5,4,6,2]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[1,8,2,6,5,3,7,4]=>[6,8,5,1,7,2,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[3,8,1,7,2,6,5,4]=>[8,7,3,1,6,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[8,1,4,2,3,5,7,6]=>[8,1,2,4,7,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[8,1,2,4,6,5,7,3]=>[8,1,4,2,6,5,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,3,7,2,5,4,6,1]=>[3,8,2,5,7,4,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[8,4,7,1,5,3,6,2]=>[4,8,1,5,7,3,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[7,2,5,3,4,6,1,8]=>[2,3,7,5,4,6,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[5,8,4,3,6,2,7,1]=>[5,4,3,8,6,2,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[1,7,2,6,3,4,8,5]=>[7,1,6,2,8,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[7,1,2,6,3,4,5,8]=>[1,2,7,3,4,6,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[7,1,6,5,4,2,3,8]=>[1,7,6,5,2,4,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[5,8,4,3,1,7,2,6]=>[5,4,3,8,1,7,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[5,7,8,4,3,2,6,1]=>[5,4,7,8,3,2,6,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[1,3,8,4,7,2,6,5]=>[8,1,7,3,4,2,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[2,5,8,3,4,7,1,6]=>[2,5,3,4,1,8,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[5,4,2,8,3,7,1,6]=>[5,4,2,3,8,1,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[5,3,1,7,6,8,4,2]=>[7,5,6,3,8,1,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[4,2,7,1,5,8,6,3]=>[7,4,8,2,1,5,6,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[6,1,7,4,3,8,5,2]=>[6,7,8,4,3,1,5,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[1,3,7,4,8,5,6,2]=>[7,1,8,3,4,5,6,2]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[3,2,1,4,5,8,6,7]=>[3,8,2,1,4,5,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[6,7,1,3,2,8,5,4]=>[6,7,8,1,5,3,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[3,7,2,1,6,8,5,4]=>[7,6,3,2,8,1,5,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[1,5,3,2,6,8,4,7]=>[5,6,3,1,2,4,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[5,4,3,7,8,2,6,1]=>[5,4,3,2,7,8,6,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[2,3,7,8,6,1,4,5]=>[2,3,7,1,4,8,6,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[7,5,2,4,1,8,6,3]=>[7,8,2,5,4,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[6,5,1,2,4,7,8,3]=>[6,1,2,5,4,7,8,3]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[1,6,3,8,2,4,5,7]=>[3,1,6,2,4,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[7,6,8,4,3,1,5,2]=>[4,7,6,8,3,5,1,2]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[2,7,6,5,4,1,3,8]=>[2,7,6,5,1,4,3,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[3,8,2,5,4,6,1,7]=>[3,2,8,5,4,6,1,7]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[4,7,6,1,5,8,3,2]=>[4,7,6,5,1,8,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[1,7,6,4,2,5,8,3]=>[4,7,6,5,1,2,8,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[9,8,7,6,5,4,2,3,1]=>[2,9,8,7,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8],[9]]=>[2,7]
[2,3,9,8,7,6,5,4,1]=>[9,8,7,6,5,2,3,4,1]=>[[1,3,4],[2],[5],[6],[7],[8],[9]]=>[2,7]
[6,8,7,1,5,4,3,2]=>[8,6,7,1,5,4,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[8,7,4,6,5,1,3,2]=>[8,1,4,7,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[10,9,8,7,6,5,4,1,3,2]=>[10,1,9,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10]
[4,6,3,5,7,2,1,8]=>[4,3,6,5,7,2,1,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[4,3,7,2,1,8,5,6]=>[4,7,3,2,8,1,5,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[7,2,6,1,5,8,3,4]=>[2,7,1,3,6,5,8,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[4,7,3,8,6,2,5,1]=>[4,7,3,8,2,6,5,1]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[5,4,7,3,8,2,1,6]=>[5,4,3,7,2,8,1,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[8,3,7,2,4,6,5,1]=>[8,3,2,4,7,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[8,7,2,4,6,3,5,1]=>[4,2,3,8,7,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[1,3,6,8,5,7,4,2]=>[6,5,3,1,8,7,4,2]=>[[1,2],[3,4],[5,7],[6,8]]=>[3,3,2]
[1,6,4,8,3,7,2,5]=>[4,6,3,1,2,8,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[4,3,5,7,2,6,1,8]=>[4,3,5,2,7,6,1,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[1,7,2,8,5,4,3,6]=>[5,7,8,4,1,2,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[5,8,4,2,7,3,6,1]=>[5,4,2,8,7,3,6,1]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[8,4,2,7,3,1,6,5]=>[8,4,2,7,6,3,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[7,4,2,6,3,1,5,8]=>[4,2,7,6,3,1,5,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[8,2,7,3,4,5,1,6]=>[2,3,4,8,5,7,1,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[6,1,5,7,2,3,8,4]=>[6,1,5,2,7,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[8,6,1,3,4,5,7,2]=>[3,1,4,6,8,5,7,2]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[8,5,7,2,4,6,1,3]=>[2,1,5,4,8,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[8,1,3,6,4,2,5,7]=>[3,1,8,4,6,2,5,7]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[8,3,6,7,4,1,2,5]=>[1,3,6,4,8,7,2,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[8,5,1,2,4,6,7,3]=>[5,1,2,4,8,6,7,3]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[1,7,8,3,2,4,6,5]=>[7,1,3,8,6,2,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[1,7,8,5,6,4,2,3]=>[1,7,5,2,8,6,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[8,3,1,2,4,6,7,5]=>[8,1,3,2,4,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[3,1,7,5,8,2,4,6]=>[3,1,7,5,2,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[8,1,3,2,4,6,5,7]=>[1,8,3,6,2,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[3,2,6,5,8,1,4,7]=>[3,6,2,1,5,4,8,7]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[8,2,3,7,4,1,5,6]=>[2,3,8,4,1,7,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[8,1,5,6,4,2,3,7]=>[1,5,2,8,6,4,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[3,5,8,1,6,4,2,7]=>[5,3,6,8,1,4,2,7]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[8,3,2,7,4,1,6,5]=>[8,3,7,2,6,4,1,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[6,5,1,7,3,2,8,4]=>[6,5,7,8,3,1,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[8,2,7,5,4,3,1,6]=>[5,8,7,2,4,3,1,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[8,1,6,5,4,3,2,7]=>[6,8,5,4,1,3,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[5,2,1,7,6,3,8,4]=>[7,5,6,8,2,1,3,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[3,5,8,2,1,4,7,6]=>[8,3,2,5,1,7,4,6]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[4,2,8,5,3,7,6,1]=>[8,4,7,5,2,3,6,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[5,4,7,8,3,1,2,6]=>[1,5,4,3,7,8,2,6]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[4,5,8,1,3,7,2,6]=>[4,1,5,3,2,8,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[1,5,3,6,8,7,2,4]=>[3,8,5,1,2,6,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[7,4,3,8,5,6,2,1]=>[4,7,8,3,5,6,2,1]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[8,2,1,6,5,7,3,4]=>[2,8,1,6,5,3,7,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[7,2,6,5,1,8,3,4]=>[2,7,6,1,5,8,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[6,4,2,1,8,7,3,5]=>[4,8,6,2,7,1,3,5]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[6,2,5,1,7,8,4,3]=>[6,5,2,7,8,1,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[7,2,5,3,8,1,4,6]=>[2,3,7,5,1,4,8,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[6,3,4,1,8,7,2,5]=>[3,8,4,6,1,7,2,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[4,7,3,2,5,8,1,6]=>[4,3,2,7,5,1,8,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[5,4,7,3,1,6,8,2]=>[5,4,3,7,6,1,8,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[3,4,8,1,6,5,2,7]=>[3,8,4,6,1,5,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[4,5,6,2,7,3,1,8]=>[4,5,6,7,2,3,1,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[5,3,4,7,1,6,2,8]=>[3,5,4,7,1,6,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[5,3,7,2,1,6,8,4]=>[5,7,3,2,6,1,8,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[3,5,1,4,6,8,2,7]=>[3,5,1,4,6,2,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[8,6,3,2,5,4,1,7]=>[3,8,6,5,2,4,1,7]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[8,5,3,6,7,4,1,2]=>[1,5,8,3,6,7,4,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[6,5,8,4,2,7,1,3]=>[2,6,5,4,8,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[2,4,5,1,8,6,3,7]=>[4,8,2,5,6,1,3,7]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[2,4,1,6,7,5,3,8]=>[6,4,2,7,1,5,3,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[4,1,3,7,8,2,6,5]=>[7,4,1,3,2,8,6,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[8,3,4,2,1,7,5,6]=>[3,8,4,2,7,1,5,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[1,4,5,3,8,6,7,2]=>[4,8,5,1,3,6,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[7,3,2,5,1,8,4,6]=>[3,7,5,2,1,8,4,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[7,8,1,4,2,3,5,6]=>[1,2,4,7,3,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[5,1,2,4,3,6,8,7]=>[8,5,1,2,4,3,6,7]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[8,6,2,7,5,3,1,4]=>[2,6,8,7,5,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[6,2,1,5,8,3,4,7]=>[2,6,1,5,3,4,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[4,3,8,1,5,2,6,7]=>[4,3,1,5,8,2,6,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[4,1,3,6,7,2,8,5]=>[6,4,1,3,7,8,2,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[6,1,3,2,4,5,8,7]=>[8,1,3,6,2,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[7,8,1,6,5,2,4,3]=>[7,1,8,6,2,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[7,4,8,5,1,3,2,6]=>[1,7,4,8,5,3,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[7,4,8,6,5,1,2,3]=>[1,2,7,8,6,4,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[3,7,8,6,5,1,2,4]=>[1,3,7,8,2,6,5,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[4,7,8,2,5,3,1,6]=>[4,2,7,5,8,3,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[4,5,8,6,1,3,2,7]=>[1,8,4,5,6,3,2,7]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[3,6,8,7,1,5,2,4]=>[3,1,8,6,2,7,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[4,7,8,2,6,3,1,5]=>[4,2,7,3,8,6,1,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[4,5,8,2,7,3,1,6]=>[4,5,2,8,3,7,1,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[4,8,3,1,7,5,2,6]=>[4,8,3,5,7,1,2,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[7,5,4,8,3,2,1,6]=>[5,7,4,3,8,2,1,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[6,5,8,2,7,3,1,4]=>[2,6,5,8,3,7,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[6,4,8,2,7,3,1,5]=>[4,6,2,8,3,7,1,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[2,8,6,3,4,5,1,7]=>[2,3,6,8,4,5,1,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[5,3,8,6,1,4,2,7]=>[3,5,8,6,1,4,2,7]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[5,7,3,4,2,6,8,1]=>[3,5,4,7,2,6,8,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[6,8,3,2,4,5,1,7]=>[3,2,6,4,8,5,1,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[5,8,3,4,6,1,2,7]=>[1,3,5,4,6,8,2,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[6,4,3,8,5,1,2,7]=>[1,6,4,8,3,5,2,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[6,4,8,2,3,5,1,7]=>[2,4,6,3,5,8,1,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[5,6,1,3,2,4,8,7]=>[8,1,5,3,6,2,4,7]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[3,5,1,2,7,6,4,8]=>[7,5,1,3,6,2,4,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[4,1,3,7,2,6,5,8]=>[7,4,1,3,2,6,5,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[8,1,5,4,6,2,7,3]=>[8,1,5,4,6,7,2,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[4,3,8,1,2,5,7,6]=>[8,1,4,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[7,4,3,2,5,8,6,1]=>[7,4,8,3,2,5,6,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[4,6,3,2,8,5,7,1]=>[6,4,3,8,2,5,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[1,4,3,2,6,8,5,7]=>[6,4,3,1,2,5,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[5,3,7,2,1,8,6,4]=>[7,5,8,3,6,2,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[7,4,3,2,5,1,8,6]=>[7,4,8,3,2,5,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[5,4,8,3,7,2,1,6]=>[5,4,3,2,8,7,1,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[3,6,8,5,2,1,7,4]=>[6,5,3,8,7,2,1,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[6,1,5,4,7,2,8,3]=>[6,5,4,1,7,8,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[1,3,6,5,8,2,7,4]=>[6,5,3,1,8,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[1,4,3,6,2,8,5,7]=>[6,4,3,1,2,8,5,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[1,6,5,3,2,8,4,7]=>[6,5,3,8,1,2,4,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[5,4,8,3,2,7,1,6]=>[5,4,3,2,8,1,7,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[5,4,3,7,2,1,6,8]=>[5,4,3,2,7,1,6,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[1,6,5,4,7,2,8,3]=>[6,5,4,7,1,8,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[5,4,3,7,8,2,1,6]=>[5,4,3,2,7,8,1,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[3,4,5,6,7,8,2,9,1]=>[3,4,5,6,7,8,2,9,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,6]
[3,4,5,6,7,8,9,2,10,1]=>[3,4,5,6,7,8,9,2,10,1]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>[3,7]
[3,4,5,6,7,2,1,9,8]=>[9,3,4,5,6,7,2,1,8]=>[[1,4,5,6,7,8],[2],[3],[9]]=>[3,6]
[1,4,8,6,3,2,7,5]=>[8,4,6,7,1,3,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[2,8,3,6,5,4,1,7]=>[6,8,2,5,3,4,1,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[4,1,8,6,2,5,7,3]=>[4,8,1,6,5,2,7,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[1,5,3,6,7,4,8,2]=>[5,6,3,1,7,4,8,2]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[4,7,6,2,5,1,8,3]=>[4,7,6,2,5,8,1,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[4,6,3,1,5,7,8,2]=>[4,3,6,5,1,7,8,2]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[6,3,4,8,1,2,7,5]=>[6,1,3,8,4,2,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[6,2,8,1,7,4,5,3]=>[6,2,8,4,1,7,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[1,7,6,3,8,4,2,5]=>[3,7,6,8,1,4,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[6,1,2,3,5,4,8,7]=>[8,6,1,2,3,5,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[2,5,4,3,7,8,1,6]=>[5,4,2,3,1,7,8,6]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[5,4,1,6,8,3,7,2]=>[5,4,6,3,1,8,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[7,1,6,8,3,5,4,2]=>[7,6,1,3,8,5,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[2,6,3,1,5,8,7,4]=>[8,6,2,5,3,1,7,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[7,2,1,4,8,6,3,5]=>[2,7,8,4,1,3,6,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[1,6,2,3,5,4,8,7]=>[8,6,1,2,5,3,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[7,3,1,2,5,6,8,4]=>[7,1,3,2,5,6,8,4]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[6,1,3,5,8,7,4,2]=>[8,6,3,1,5,7,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[5,3,6,8,4,2,1,7]=>[5,6,3,4,8,2,1,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[6,2,8,3,4,1,5,7]=>[2,3,6,4,8,1,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[2,4,1,8,7,6,3,5]=>[4,8,7,2,1,6,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[1,3,5,8,4,7,2,6]=>[5,3,1,4,2,8,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[8,5,4,7,6,1,3,2]=>[8,1,5,7,4,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[5,8,7,2,4,1,3,6]=>[2,1,5,8,4,7,3,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[4,1,3,5,6,2,8,7]=>[8,4,1,3,5,6,2,7]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[8,2,4,6,1,3,7,5]=>[6,2,1,4,8,7,3,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[6,4,8,7,3,5,2,1]=>[4,8,6,3,7,5,2,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[8,2,3,5,6,1,4,7]=>[2,3,1,5,6,8,4,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[1,7,4,3,5,2,8,6]=>[7,4,8,3,1,5,2,6]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[3,8,2,7,6,4,1,5]=>[3,8,7,2,4,6,1,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[5,3,6,2,1,8,4,7]=>[5,6,3,2,8,1,4,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[4,3,8,6,2,7,1,5]=>[4,3,8,2,6,1,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[8,2,1,4,6,3,7,5]=>[8,2,6,1,4,7,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[5,8,7,2,4,6,1,3]=>[2,1,5,8,4,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[2,7,1,4,6,5,3,8]=>[7,4,2,1,6,5,3,8]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[4,7,1,2,6,5,8,3]=>[7,4,1,6,2,5,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[8,2,5,1,6,3,7,4]=>[5,6,2,8,7,1,3,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[8,3,4,5,1,6,7,2]=>[3,4,5,8,1,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[7,8,1,5,6,3,2,4]=>[1,5,7,3,8,6,2,4]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[1,3,7,8,5,2,4,6]=>[3,1,7,2,5,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[1,7,8,3,2,5,6,4]=>[7,1,3,8,5,2,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[3,7,8,5,4,6,1,2]=>[1,3,7,8,5,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,5,7,6,4,8,1,2]=>[1,7,5,3,6,4,8,2]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[1,3,7,8,5,4,6,2]=>[7,1,8,3,5,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,3,7,8,5,4,2,6]=>[3,7,8,1,5,4,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[1,5,7,6,8,3,2,4]=>[1,7,5,6,3,8,2,4]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[3,5,7,6,8,4,1,2]=>[1,7,5,3,6,8,4,2]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[6,1,4,3,2,5,8,7]=>[8,4,6,1,3,2,5,7]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[5,3,6,7,8,4,1,2]=>[1,5,6,3,7,8,4,2]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[1,8,3,2,4,6,5,7]=>[3,8,1,6,2,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[1,4,8,3,6,7,2,5]=>[4,3,1,2,6,8,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[6,7,3,1,5,2,4,8]=>[3,1,6,7,5,2,4,8]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[3,5,6,7,2,1,8,4]=>[5,3,6,7,8,2,1,4]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[1,4,2,8,3,6,7,5]=>[8,4,1,2,6,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[7,8,3,1,4,5,6,2]=>[3,4,1,7,8,5,6,2]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[5,8,1,4,3,7,6,2]=>[8,5,4,1,7,3,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[6,1,8,7,3,2,5,4]=>[8,3,6,7,5,1,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[4,1,5,2,7,8,6,3]=>[7,4,5,8,1,2,6,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[7,8,1,5,6,2,4,3]=>[5,1,7,2,8,6,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[1,4,8,2,3,6,5,7]=>[1,8,4,2,3,6,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[1,4,8,2,6,7,5,3]=>[6,4,8,1,2,7,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[1,4,7,8,2,3,6,5]=>[7,1,4,2,3,8,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[1,7,3,2,4,5,6,8]=>[3,1,2,7,4,5,6,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[1,7,3,2,4,5,8,6]=>[7,3,1,8,2,4,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[1,6,4,3,2,5,7,8]=>[4,6,3,1,2,5,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[5,2,1,6,8,7,4,3]=>[8,5,6,7,2,1,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[1,3,5,8,6,2,7,4]=>[8,3,5,1,6,7,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[2,3,8,4,1,7,6,5]=>[8,7,2,6,3,4,1,5]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[2,5,1,7,8,4,3,6]=>[5,2,7,1,8,4,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[3,7,8,5,4,2,6,1]=>[3,7,8,5,4,2,6,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[8,3,2,7,5,6,1,4]=>[3,2,8,1,7,5,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[1,3,8,5,7,4,2,6]=>[5,8,1,3,4,7,2,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[1,2,3,7,5,4,6,8]=>[5,7,1,2,3,4,6,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[1,4,2,8,6,3,5,7]=>[4,1,8,6,2,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[2,3,8,6,5,4,1,7]=>[6,8,5,2,3,4,1,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[2,6,7,4,3,1,8,5]=>[6,7,8,2,4,3,1,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[6,1,8,2,5,3,4,7]=>[1,6,2,5,8,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[3,6,1,5,2,7,4,8]=>[6,3,5,1,7,2,4,8]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[3,8,6,2,1,7,5,4]=>[8,6,3,7,5,2,1,4]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[5,2,4,8,3,1,7,6]=>[8,5,2,4,3,7,1,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[2,5,8,4,3,1,6,7]=>[5,2,4,8,3,1,6,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[4,1,8,7,2,5,6,3]=>[4,8,1,7,2,5,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[1,5,4,2,3,6,8,7]=>[8,1,5,4,2,3,6,7]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[4,6,2,8,1,5,7,3]=>[4,6,2,5,1,8,7,3]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[3,4,1,8,2,5,7,6]=>[8,3,4,1,2,7,5,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[4,2,1,8,5,3,7,6]=>[8,4,7,5,2,1,3,6]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[2,5,8,7,6,4,1,3]=>[2,8,7,5,1,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[3,1,8,2,4,6,7,5]=>[8,3,1,2,4,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[6,5,2,1,7,3,4,8]=>[2,6,5,7,1,3,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[3,1,2,4,8,6,7,5]=>[8,1,6,3,2,4,7,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[3,1,2,5,8,7,4,6]=>[5,8,1,3,2,4,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[6,5,2,1,8,4,7,3]=>[6,5,8,2,4,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[7,4,1,3,6,2,8,5]=>[7,4,1,6,3,8,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[2,3,5,4,8,6,1,7]=>[5,8,2,3,4,6,1,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[2,3,5,7,4,8,1,6]=>[5,2,3,4,7,1,8,6]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[4,1,5,8,6,2,3,7]=>[1,4,8,5,2,6,3,7]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[5,4,8,6,3,7,1,2]=>[1,5,8,4,6,3,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[5,7,3,4,8,2,6,1]=>[3,5,4,7,2,8,6,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[6,5,2,3,1,8,7,4]=>[8,6,2,5,7,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[6,4,7,5,3,8,1,2]=>[1,6,7,4,5,3,8,2]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[5,7,6,4,8,3,1,2]=>[1,7,5,6,4,8,3,2]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[5,7,4,8,3,1,6,2]=>[5,4,7,3,8,6,1,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[3,1,7,5,4,6,2,8]=>[5,7,3,4,1,6,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[4,3,1,5,8,6,2,7]=>[4,8,3,5,1,6,2,7]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[2,5,3,6,1,8,4,7]=>[5,6,2,3,1,8,4,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[2,5,6,7,4,1,8,3]=>[5,6,2,7,4,8,1,3]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[1,7,2,4,5,3,6,8]=>[1,7,2,4,5,3,6,8]=>[[1,2,3,5,6,8],[4],[7]]=>[4,3,1]
[1,7,4,5,3,2,6,8]=>[4,7,1,5,3,2,6,8]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[3,5,6,4,8,2,1,7]=>[5,3,6,4,2,8,1,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[8,5,6,1,4,3,7,2]=>[5,6,1,8,4,3,7,2]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[6,4,5,8,2,3,1,7]=>[2,4,6,5,3,8,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[8,6,1,3,2,5,7,4]=>[8,1,3,6,5,2,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[7,5,8,1,4,6,3,2]=>[5,7,1,4,8,6,3,2]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[4,2,6,7,8,1,5,3]=>[4,6,2,1,7,8,5,3]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[4,7,8,2,5,1,6,3]=>[4,5,2,7,8,6,1,3]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[3,7,8,2,5,1,4,6]=>[3,2,1,5,7,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[3,4,6,7,8,1,5,2]=>[3,4,6,1,7,8,5,2]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[2,5,3,7,8,1,4,6]=>[2,5,3,1,4,7,8,6]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[5,6,3,8,1,2,4,7]=>[1,3,5,6,2,4,8,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[4,7,3,8,5,1,6,2]=>[4,7,3,8,5,6,1,2]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[4,3,2,7,5,8,1,6]=>[4,7,3,2,5,1,8,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[4,8,5,3,2,6,1,7]=>[4,5,8,3,2,6,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[8,1,5,3,2,4,7,6]=>[8,1,5,7,3,2,4,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[4,7,3,8,2,1,6,5]=>[7,4,3,8,2,6,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[7,8,4,1,3,6,5,2]=>[7,4,1,8,6,3,5,2]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[8,6,1,3,2,7,4,5]=>[1,8,3,6,7,2,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[6,3,7,8,1,5,4,2]=>[6,3,7,8,1,5,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[7,5,8,1,6,4,2,3]=>[1,5,7,8,6,2,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[1,4,7,3,8,5,2,6]=>[4,7,1,8,3,5,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[8,1,4,3,7,5,6,2]=>[8,1,4,7,3,5,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[1,4,8,5,3,2,6,7]=>[4,5,8,1,3,2,6,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[8,2,7,6,4,1,5,3]=>[8,2,7,4,6,5,1,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[5,2,1,7,8,4,3,6]=>[5,2,7,8,1,4,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[2,4,7,6,3,8,5,1]=>[7,6,4,2,8,3,5,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[6,8,1,4,7,5,3,2]=>[6,8,4,1,7,5,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[7,6,1,2,8,5,3,4]=>[1,7,6,2,8,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[7,3,1,8,4,6,5,2]=>[7,3,8,6,4,1,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[6,1,2,8,5,3,7,4]=>[6,8,1,5,7,2,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[4,1,8,7,3,5,6,2]=>[4,8,1,3,7,5,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[4,1,5,8,3,6,7,2]=>[4,5,3,1,6,8,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[4,7,2,6,8,3,1,5]=>[4,2,7,3,6,8,1,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[4,8,2,7,1,3,6,5]=>[8,2,4,1,3,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[5,2,1,8,7,4,6,3]=>[5,8,7,2,4,1,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[8,2,1,7,4,6,3,5]=>[2,8,1,7,4,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[5,1,6,8,3,2,7,4]=>[5,6,8,1,7,3,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[4,7,8,3,1,2,5,6]=>[1,4,3,2,7,8,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[4,5,2,8,7,3,1,6]=>[4,8,5,2,7,3,1,6]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[5,8,2,3,6,4,7,1]=>[5,2,3,8,6,4,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[4,5,7,6,8,2,3,1]=>[2,7,4,5,6,8,3,1]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[4,8,5,3,1,6,7,2]=>[4,5,8,3,6,1,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[6,2,3,1,7,8,5,4]=>[6,7,2,8,3,1,5,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[5,2,3,8,7,4,6,1]=>[5,8,2,3,7,4,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[6,2,1,7,8,4,3,5]=>[2,6,7,8,1,4,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[5,2,1,3,8,4,7,6]=>[8,5,2,1,7,3,4,6]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[5,2,7,8,4,1,6,3]=>[5,7,2,4,8,6,1,3]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[6,2,7,8,3,5,4,1]=>[6,2,7,8,3,5,4,1]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[8,1,7,3,2,4,6,5]=>[8,1,3,7,6,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[7,4,3,2,5,8,1,6]=>[4,3,7,2,5,1,8,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[1,3,8,4,5,2,7,6]=>[8,1,7,3,4,5,2,6]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[1,7,6,2,3,5,4,8]=>[7,1,2,6,5,3,4,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[1,7,6,4,2,3,5,8]=>[1,4,7,6,2,3,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[1,3,2,5,8,6,4,7]=>[5,8,3,1,2,6,4,7]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[6,1,4,7,2,8,5,3]=>[6,7,4,1,8,5,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[1,7,5,8,4,2,3,6]=>[1,5,7,2,8,4,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[5,7,2,4,3,6,8,1]=>[5,2,4,7,3,6,8,1]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[5,7,3,4,6,2,8,1]=>[3,5,4,7,6,2,8,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[2,8,3,6,1,7,4,5]=>[2,8,3,1,6,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[1,8,4,5,6,2,7,3]=>[4,5,1,8,6,7,2,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[7,3,8,2,1,4,5,6]=>[3,2,1,7,4,8,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[5,7,6,1,2,8,3,4]=>[1,7,2,5,6,8,3,4]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[7,4,6,5,1,8,2,3]=>[1,7,4,6,5,8,2,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[4,3,5,2,8,1,6,7]=>[4,3,5,2,1,6,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[6,1,3,8,4,2,7,5]=>[6,8,1,7,3,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[3,5,8,2,4,1,7,6]=>[8,3,2,5,4,7,1,6]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[8,4,6,3,5,7,2,1]=>[4,3,6,8,5,7,2,1]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[8,3,6,2,7,5,1,4]=>[3,6,2,8,7,1,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[4,1,5,8,3,7,2,6]=>[4,5,3,1,2,8,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[8,6,3,5,7,2,4,1]=>[3,2,6,8,5,7,4,1]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[1,5,4,6,8,3,7,2]=>[5,4,6,1,3,8,7,2]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[1,7,6,8,3,5,2,4]=>[1,7,3,6,2,8,5,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[7,4,6,3,5,8,2,1]=>[4,3,7,6,5,8,2,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[3,7,2,6,1,8,5,4]=>[7,6,3,2,8,5,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[7,3,6,2,8,5,1,4]=>[3,7,2,6,8,1,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[6,3,5,8,2,4,7,1]=>[3,2,6,5,4,8,7,1]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[1,6,8,3,5,7,2,4]=>[1,6,3,2,5,8,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[2,8,7,1,4,6,3,5]=>[2,8,1,4,3,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[6,5,8,2,4,7,1,3]=>[2,1,6,5,4,8,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[4,3,8,6,2,7,5,1]=>[8,4,6,3,7,2,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[1,8,5,3,7,4,2,6]=>[5,3,8,7,1,4,2,6]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[7,5,6,2,8,4,3,1]=>[5,7,6,8,4,2,3,1]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[6,3,8,1,2,5,4,7]=>[6,1,3,2,8,5,4,7]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[8,2,5,1,6,7,4,3]=>[5,8,2,6,1,7,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[8,1,5,2,6,7,4,3]=>[5,8,1,6,7,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[7,6,5,3,8,4,2,1]=>[7,6,5,8,3,4,2,1]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[8,6,9,7,5,4,3,2,1]=>[8,9,6,7,5,4,3,2,1]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>[6,2,1]
[7,6,5,3,2,8,4,1]=>[7,6,5,8,3,2,4,1]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[1,7,2,4,6,5,3,8]=>[7,6,1,2,4,5,3,8]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[1,2,6,8,7,4,3,5]=>[1,8,6,7,2,4,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[1,2,7,4,3,5,8,6]=>[7,4,8,1,2,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[1,6,2,8,7,4,3,5]=>[4,8,6,7,1,2,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[1,7,4,2,3,5,8,6]=>[7,1,4,8,2,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[1,4,7,5,2,8,6,3]=>[7,8,4,5,1,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[1,6,3,7,4,2,8,5]=>[6,7,8,3,1,4,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[1,4,8,7,5,3,2,6]=>[4,8,7,5,1,3,2,6]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[1,5,8,7,6,2,4,3]=>[8,1,7,5,6,2,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[1,3,5,8,7,6,2,4]=>[3,8,7,1,2,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[1,5,2,4,3,6,8,7]=>[8,5,1,4,2,3,6,7]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[1,6,8,7,5,3,2,4]=>[1,8,6,7,5,3,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[1,5,8,6,3,2,7,4]=>[5,8,6,7,1,3,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[1,8,5,2,6,3,4,7]=>[1,5,6,8,2,3,4,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[1,7,4,6,3,2,8,5]=>[7,6,4,1,8,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[3,8,2,7,5,4,1,6]=>[3,8,7,2,5,4,1,6]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[8,6,2,4,1,7,5,3]=>[6,8,2,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[2,7,3,6,8,5,4,1]=>[7,6,2,8,3,5,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[3,7,2,8,1,6,4,5]=>[3,7,2,1,8,4,6,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[6,3,1,2,5,8,7,4]=>[8,6,1,3,5,2,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[8,5,2,4,6,7,3,1]=>[5,2,4,8,6,7,3,1]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[2,5,8,7,1,4,3,6]=>[2,8,5,1,4,7,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[6,1,5,8,2,4,3,7]=>[6,1,5,2,4,8,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[3,4,6,5,8,2,7,1]=>[6,3,4,5,2,8,7,1]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[5,2,8,6,4,7,1,3]=>[2,5,8,6,1,4,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,7,5,1,6,3,8,2]=>[4,7,5,6,3,1,8,2]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[8,5,1,3,6,2,7,4]=>[5,8,1,3,6,7,2,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[8,2,1,3,6,7,4,5]=>[2,8,1,3,4,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[8,5,7,2,3,1,4,6]=>[2,3,5,1,8,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,4,7,1,5,3,2,6]=>[4,1,8,7,5,3,2,6]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[8,3,4,5,2,1,7,6]=>[8,3,4,5,7,2,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[6,3,4,7,2,1,5,8]=>[3,4,6,2,7,1,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[5,3,6,7,2,8,1,4]=>[3,5,2,6,7,1,8,4]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[5,3,6,7,2,8,4,1]=>[5,6,3,7,8,2,4,1]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,3,6,7,2,4,8,1]=>[3,5,2,6,7,4,8,1]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[3,8,2,5,6,7,4,1]=>[5,3,2,6,8,7,4,1]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[3,8,4,1,6,7,2,5]=>[3,4,1,8,6,2,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[2,8,3,6,1,4,7,5]=>[8,2,3,1,6,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[8,6,1,4,7,5,2,3]=>[1,6,8,2,7,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[5,1,8,2,6,7,4,3]=>[5,8,6,1,2,7,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[4,1,5,6,7,3,8,2]=>[4,5,6,1,7,3,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[4,1,5,6,7,3,2,8]=>[4,5,6,1,7,3,2,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[1,5,8,2,6,7,4,3]=>[5,6,8,1,2,7,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[5,8,6,1,7,4,3,2]=>[5,8,6,7,4,3,1,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[8,2,1,4,5,7,6,3]=>[8,4,2,1,7,5,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[1,4,7,5,2,3,8,6]=>[7,1,8,4,2,5,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[6,1,7,5,4,2,8,3]=>[6,7,5,4,8,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[2,7,3,6,5,1,8,4]=>[7,6,2,5,3,8,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[5,7,6,2,4,8,1,3]=>[2,1,7,5,6,4,8,3]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[7,6,8,1,3,5,4,2]=>[7,3,1,6,8,5,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[2,8,4,6,1,7,5,3]=>[8,4,2,6,7,5,1,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[2,8,6,4,7,3,5,1]=>[4,6,8,2,3,7,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[8,7,1,4,6,5,3,2]=>[8,4,7,1,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[3,5,8,6,7,1,4,2]=>[3,8,1,5,6,7,4,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[2,5,4,6,8,1,3,7]=>[2,5,1,4,6,3,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[2,4,3,8,7,1,6,5]=>[8,4,7,2,3,1,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[1,5,8,7,4,2,6,3]=>[5,8,7,1,4,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[6,8,7,5,4,3,1,2]=>[1,8,6,7,5,4,3,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[5,6,4,7,3,8,2,9,1]=>[5,6,4,7,3,8,2,9,1]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>[5,4]
[5,4,6,3,7,2,8,1,9]=>[5,4,6,3,7,2,8,1,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>[5,4]
[6,5,7,4,8,3,9,2,10,1]=>[6,5,7,4,8,3,9,2,10,1]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>[6,4]
[5,6,4,7,3,8,2,9,1,10]=>[5,6,4,7,3,8,2,9,1,10]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>[5,5]
[4,3,7,6,8,2,1,5]=>[4,7,3,2,6,8,1,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[8,1,4,7,2,3,5,6]=>[1,4,2,3,5,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[3,2,7,1,5,6,8,4]=>[5,3,2,1,7,6,8,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[6,1,8,5,2,7,3,4]=>[1,6,5,8,7,2,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[8,7,2,6,3,1,4,5]=>[2,3,8,1,7,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[5,4,2,3,7,1,8,6]=>[7,2,5,4,3,8,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[8,7,1,6,4,5,2,3]=>[1,8,2,4,7,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[7,6,1,5,8,4,2,3]=>[1,7,6,2,5,8,4,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[8,6,3,7,2,5,4,1]=>[6,3,8,7,2,5,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[4,7,8,3,2,6,5,1]=>[7,4,3,8,6,2,5,1]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[3,1,8,7,5,2,4,6]=>[3,1,8,7,5,2,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[6,5,8,7,2,4,3,1]=>[8,2,6,5,7,4,3,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[4,3,6,5,8,2,1,7]=>[6,4,3,5,2,8,1,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[7,6,3,2,8,5,4,1]=>[7,6,8,5,3,2,4,1]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[3,2,6,8,7,1,4,5]=>[3,2,8,1,4,6,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[3,8,2,7,6,1,4,5]=>[3,2,8,1,4,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[2,4,5,1,8,7,3,6]=>[4,8,2,5,1,7,3,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[4,3,7,1,8,5,2,6]=>[4,7,3,5,8,1,2,6]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[3,7,6,8,2,1,4,5]=>[3,2,7,1,6,8,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[7,4,2,6,1,8,3,5]=>[4,2,7,6,1,8,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[7,4,6,1,8,3,2,5]=>[4,3,7,6,8,1,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[3,6,8,7,2,1,4,5]=>[3,2,8,1,6,7,4,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[3,2,8,5,6,7,1,4]=>[3,2,1,8,5,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[8,3,2,1,4,7,5,6]=>[3,8,2,1,7,4,5,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[7,4,2,1,6,8,3,5]=>[4,2,7,6,1,3,8,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[7,3,1,8,5,4,2,6]=>[5,7,8,3,4,1,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[4,7,3,1,8,5,2,6]=>[4,7,3,8,5,1,2,6]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[4,6,8,2,1,7,3,5]=>[4,2,6,8,1,7,3,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[3,7,8,2,5,6,1,4]=>[3,2,1,5,7,8,6,4]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[7,8,6,1,2,4,5,3]=>[4,1,2,7,8,6,5,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[1,5,3,4,7,8,6,2]=>[7,5,1,3,4,8,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[5,1,2,4,7,8,6,3]=>[7,5,1,2,4,8,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[5,1,7,8,6,2,3,4]=>[1,2,7,5,8,3,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[8,5,1,6,7,2,3,4]=>[1,2,5,8,3,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[7,1,2,6,4,5,8,3]=>[7,1,4,2,6,5,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[1,7,3,6,4,5,8,2]=>[7,1,3,6,4,5,8,2]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[8,1,6,2,7,3,4,5]=>[1,2,8,3,6,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[7,1,6,2,5,3,4,8]=>[1,7,2,6,3,5,4,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[8,1,7,2,5,3,4,6]=>[1,2,8,3,7,5,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[6,3,1,2,7,4,5,8]=>[1,6,3,7,2,4,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[6,1,7,4,2,3,5,8]=>[1,4,6,7,2,3,5,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[7,1,8,2,5,3,4,6]=>[1,2,7,5,8,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[6,1,7,2,5,3,4,8]=>[1,6,2,7,5,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[5,1,8,2,6,3,4,7]=>[1,5,2,8,6,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[2,5,7,3,4,1,8,6]=>[7,2,5,3,8,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[3,7,2,8,5,4,1,6]=>[3,7,8,5,2,4,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[2,4,8,6,3,5,1,7]=>[4,2,8,3,6,5,1,7]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[2,3,7,5,4,1,6,8]=>[5,7,2,3,4,1,6,8]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[3,6,8,5,4,1,2,7]=>[1,6,3,8,5,4,2,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[2,6,8,3,5,1,4,7]=>[2,3,6,1,5,8,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[2,3,6,1,5,8,4,7]=>[6,2,3,1,5,4,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[2,5,7,1,4,6,3,8]=>[5,2,1,4,7,6,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[2,4,7,1,6,3,5,8]=>[4,2,1,7,3,6,5,8]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[3,4,7,2,1,6,8,5]=>[7,3,4,2,6,1,8,5]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[5,7,3,2,8,1,4,6]=>[3,5,2,7,1,4,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[4,6,3,7,1,5,8,2]=>[4,3,6,7,1,5,8,2]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[3,6,5,7,1,8,2,4]=>[3,6,1,5,7,8,2,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[2,6,5,7,1,8,4,3]=>[6,5,7,2,8,4,1,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[3,6,8,5,4,1,7,2]=>[6,3,8,5,4,7,1,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[2,6,8,3,5,1,7,4]=>[6,2,5,3,8,7,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[5,4,7,8,1,3,6,2]=>[5,1,4,3,7,8,6,2]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[2,6,5,8,1,7,4,3]=>[6,5,8,2,7,1,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>[2,4,2]
[2,4,8,3,1,7,6,5]=>[8,7,4,2,3,6,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[6,5,1,4,7,2,3,8]=>[1,6,2,5,4,7,3,8]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[6,5,4,8,1,3,2,7]=>[6,1,5,4,3,8,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[6,5,1,4,8,3,2,7]=>[6,5,1,4,3,8,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[7,6,1,4,2,5,8,3]=>[7,1,4,6,5,2,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[8,7,5,1,4,2,3,6]=>[1,2,8,5,7,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[7,4,1,2,5,3,8,6]=>[7,4,1,8,5,2,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[8,4,1,2,5,3,6,7]=>[4,1,5,2,8,3,6,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[7,3,8,4,2,5,6,1]=>[3,4,7,8,2,5,6,1]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[8,7,1,4,3,2,6,5]=>[8,1,7,6,4,3,2,5]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[8,7,6,3,1,4,5,2]=>[3,8,1,7,6,4,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[2,8,3,7,4,5,6,1]=>[2,3,8,4,7,5,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[3,5,1,6,4,2,7,8]=>[5,3,6,4,1,2,7,8]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[6,4,3,1,7,2,5,8]=>[4,6,3,1,7,2,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[6,3,2,5,7,1,4,8]=>[3,2,6,1,5,7,4,8]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[1,6,3,2,5,7,4,8]=>[6,3,5,1,2,7,4,8]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[5,6,2,1,4,3,7,8]=>[5,2,6,4,1,3,7,8]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[1,6,5,3,7,2,4,8]=>[3,6,5,1,2,7,4,8]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[1,2,4,7,5,3,6,8]=>[4,7,1,2,5,3,6,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[1,2,5,3,4,8,7,6]=>[8,7,1,5,2,3,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[5,4,7,6,1,2,3,8]=>[1,2,7,5,4,6,3,8]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,2,1]
[4,8,3,6,5,1,2,7]=>[1,4,8,3,6,5,2,7]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[5,3,7,6,1,8,2,4]=>[3,7,5,1,6,8,2,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[4,2,7,6,5,1,8,3]=>[7,6,4,5,2,8,1,3]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[5,2,7,6,1,8,4,3]=>[7,5,6,8,2,4,1,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[7,8,1,3,6,5,4,2]=>[7,8,3,1,6,5,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[1,5,3,7,6,2,8,4]=>[7,5,6,3,1,8,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[1,7,8,2,4,6,5,3]=>[7,8,1,2,4,6,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[1,5,8,3,6,2,7,4]=>[5,6,3,1,8,7,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[7,8,1,4,6,5,2,3]=>[1,7,4,2,8,6,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[5,8,7,3,1,6,2,4]=>[3,5,8,1,7,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[1,2,6,4,7,3,8,5]=>[6,7,4,1,2,8,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[1,6,8,7,2,4,5,3]=>[8,1,2,6,4,7,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[5,4,2,3,8,6,1,7]=>[2,8,5,4,3,6,1,7]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[2,6,3,4,1,5,8,7]=>[8,2,3,6,4,1,5,7]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[2,6,1,8,5,4,3,7]=>[6,5,8,2,4,1,3,7]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[4,5,8,6,2,1,3,7]=>[2,4,8,5,6,1,3,7]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[6,4,7,5,8,2,1,3]=>[2,6,7,4,5,8,1,3]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[4,8,2,1,5,7,6,3]=>[8,4,7,2,1,5,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[2,1,4,8,5,6,3,7]=>[2,8,4,1,5,6,3,7]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[2,6,3,4,1,8,5,7]=>[6,2,3,8,4,1,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[4,6,2,5,7,3,8,1]=>[4,6,2,5,7,3,8,1]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[2,3,6,7,8,4,1,5]=>[2,6,3,4,7,8,1,5]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[6,2,4,5,8,1,7,3]=>[4,2,6,5,8,1,7,3]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[8,1,7,4,5,6,2,3]=>[1,4,2,8,5,7,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[2,7,8,3,4,1,6,5]=>[7,2,3,8,4,6,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[7,8,3,5,6,2,4,1]=>[3,2,5,7,8,6,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[2,1,7,8,4,5,6,3]=>[7,2,1,4,5,8,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[8,2,1,4,3,7,6,5]=>[8,7,2,6,4,1,3,5]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[6,4,2,3,8,1,7,5]=>[6,2,8,4,3,1,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[5,4,3,1,8,6,2,7]=>[5,8,4,3,6,1,2,7]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[7,6,5,3,1,2,8,4]=>[7,1,6,5,8,3,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[6,5,4,1,2,8,7,3]=>[8,6,1,5,4,7,2,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[6,5,3,2,1,8,4,7]=>[6,5,3,8,2,1,4,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[6,2,3,1,7,8,4,5]=>[2,6,3,7,1,4,8,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[3,1,8,6,7,2,4,5]=>[3,1,2,8,6,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[5,1,3,2,6,4,7,8]=>[5,6,1,3,2,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[4,7,8,2,3,6,1,5]=>[2,4,3,1,7,8,6,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[4,2,5,1,8,6,7,3]=>[4,8,5,2,6,1,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[4,5,3,7,1,6,8,2]=>[4,5,3,7,1,6,8,2]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[4,2,8,5,3,6,7,1]=>[4,5,8,2,3,6,7,1]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[2,7,4,1,8,5,6,3]=>[7,2,8,4,5,1,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[3,5,2,8,6,4,7,1]=>[5,8,3,6,2,4,7,1]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[4,1,3,6,2,8,5,7]=>[6,4,1,3,2,8,5,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[7,3,5,1,6,4,8,2]=>[5,3,7,6,4,1,8,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[7,5,1,2,4,8,3,6]=>[1,7,2,5,4,3,8,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[6,2,5,8,4,7,1,3]=>[2,6,1,5,4,8,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[5,8,2,3,6,1,4,7]=>[2,3,5,1,6,8,4,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[7,1,6,3,2,4,5,8]=>[1,3,7,6,2,4,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[1,6,5,8,2,3,7,4]=>[6,1,5,8,2,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[1,6,3,2,4,8,5,7]=>[6,3,1,8,2,4,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[2,5,7,1,6,4,8,3]=>[5,7,2,6,1,4,8,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[1,8,2,5,6,4,7,3]=>[8,1,5,2,6,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[4,7,1,3,8,6,2,5]=>[4,7,1,3,8,2,6,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[2,7,1,4,8,5,6,3]=>[7,2,4,1,8,5,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[1,6,3,4,7,2,8,5]=>[6,7,1,3,4,8,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[2,8,4,6,1,3,7,5]=>[8,2,1,4,6,7,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[8,3,7,6,2,1,5,4]=>[8,3,7,2,6,5,1,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[8,3,7,6,2,5,1,4]=>[3,2,8,1,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[7,8,9,1,2,3,4,5,6,10]=>[1,2,3,4,5,7,8,9,6,10]=>[[1,2,3,4,5,6,8,9,10],[7]]=>[7,3]
[7,1,3,2,5,8,6,4]=>[7,8,1,5,3,2,6,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[7,1,3,4,5,8,6,2]=>[7,3,1,4,8,5,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[5,4,7,1,3,8,6,2]=>[7,5,1,4,8,3,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[7,8,4,6,2,1,3,5]=>[2,4,1,7,8,6,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[1,6,7,5,2,8,4,3]=>[6,7,5,8,1,4,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[8,1,7,6,3,4,2,5]=>[1,8,3,7,4,6,2,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,5,2,3,7,1,4,6]=>[2,3,5,1,8,4,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[3,2,8,6,4,5,7,1]=>[3,6,8,2,4,5,7,1]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[1,5,6,3,2,4,7,8]=>[1,5,6,3,2,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[7,8,3,5,2,4,6,1]=>[3,2,5,7,8,4,6,1]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[2,4,5,7,3,6,1,8]=>[4,2,5,3,7,6,1,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[6,5,1,3,4,2,7,8]=>[3,1,6,5,4,2,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[6,8,7,4,3,5,1,2]=>[1,4,8,6,7,3,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[2,6,7,8,4,3,5,1]=>[2,6,7,4,8,3,5,1]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[7,4,8,6,3,5,2,1]=>[4,7,8,3,6,5,2,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[4,7,6,3,5,2,1,8]=>[4,7,3,6,5,2,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[7,6,2,1,8,3,5,4]=>[7,2,6,8,5,1,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[1,7,5,6,8,2,4,3]=>[7,1,5,2,6,8,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[1,7,4,5,2,8,6,3]=>[7,8,4,1,5,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[3,6,7,4,2,8,5,1]=>[6,7,3,8,4,2,5,1]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[4,6,3,2,7,8,5,1]=>[6,4,7,3,2,8,5,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[7,6,1,3,4,2,5,8]=>[3,1,4,7,6,2,5,8]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[7,1,2,4,5,6,3,8]=>[4,1,2,5,7,6,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[7,3,2,1,5,6,4,8]=>[7,3,2,5,1,6,4,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[2,6,7,3,1,5,4,8]=>[6,2,7,3,5,1,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[2,1,6,4,7,5,3,8]=>[6,7,4,2,1,5,3,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[7,6,8,5,4,1,3,2]=>[7,1,6,8,5,4,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[7,8,6,3,1,5,4,2]=>[7,3,8,6,5,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[7,6,1,4,5,3,2,8]=>[4,7,1,6,5,3,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[7,1,5,6,4,3,2,8]=>[5,7,6,1,4,3,2,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[4,1,3,8,6,2,7,5]=>[8,4,6,1,3,7,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[5,1,2,8,4,6,7,3]=>[5,4,1,2,8,6,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[5,6,3,2,8,1,7,4]=>[5,6,8,3,2,1,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[8,2,6,3,1,5,7,4]=>[8,2,3,6,5,1,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[8,2,5,3,6,1,7,4]=>[5,2,8,6,3,7,1,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[5,1,2,4,6,8,7,3]=>[8,5,1,2,4,6,7,3]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[8,2,5,6,7,4,3,1]=>[5,6,2,8,7,4,3,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[7,1,2,3,6,8,4,5]=>[1,7,2,3,4,6,8,5]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[5,7,3,6,8,4,1,2]=>[1,5,7,3,6,8,4,2]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[3,7,8,6,5,4,1,2]=>[1,7,8,6,3,5,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[3,1,8,4,6,5,2,7]=>[3,8,6,4,1,5,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[7,6,2,8,3,1,5,4]=>[7,2,6,8,5,3,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[6,1,2,3,8,4,7,5]=>[6,8,1,2,3,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[8,2,5,3,4,6,7,1]=>[2,3,5,8,4,6,7,1]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[8,1,6,7,4,2,3,5]=>[1,2,6,8,4,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[8,1,6,4,5,2,7,3]=>[8,1,4,6,5,7,2,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,6,4,7,2,3,5,1]=>[2,4,6,8,3,7,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[8,6,4,1,2,3,7,5]=>[6,1,2,8,7,4,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[8,6,1,4,5,2,7,3]=>[4,6,1,8,5,7,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[8,6,7,4,2,5,1,3]=>[2,4,6,8,7,1,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[8,6,4,2,7,3,1,5]=>[4,6,8,2,7,3,1,5]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[8,6,4,2,1,5,7,3]=>[4,6,8,5,2,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[8,6,1,4,7,2,5,3]=>[6,1,4,8,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[8,6,1,4,7,2,3,5]=>[1,2,6,4,8,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[8,6,7,1,4,5,2,3]=>[1,4,2,6,8,7,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,6,7,4,2,1,5,3]=>[4,6,8,7,5,2,1,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[8,6,4,2,5,7,3,1]=>[4,6,8,5,2,7,3,1]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[8,6,4,2,5,1,7,3]=>[4,6,8,5,2,7,1,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[8,6,4,2,5,7,1,3]=>[2,4,6,8,1,5,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[3,4,7,5,8,2,6,1]=>[3,7,4,5,2,8,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[8,7,1,4,6,5,2,3]=>[1,8,4,2,7,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[8,3,7,6,4,5,1,2]=>[1,3,8,7,4,6,5,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[3,1,4,6,8,10,2,5,7,9]=>[3,4,1,2,6,5,8,7,10,9]=>[[1,2,5,7,9],[3,4,6,8,10]]=>[3,3,2,2]
[4,1,5,2,6,8,10,3,7,9]=>[4,5,6,1,2,3,8,7,10,9]=>[[1,2,3,7,9],[4,5,6,8,10]]=>[4,4,2]
[5,1,6,2,7,3,8,10,4,9]=>[5,6,7,8,1,2,3,4,10,9]=>[[1,2,3,4,9],[5,6,7,8,10]]=>[5,5]
[3,1,4,6,8,10,12,2,5,7,9,11]=>[3,4,1,2,6,5,8,7,10,9,12,11]=>[[1,2,5,7,9,11],[3,4,6,8,10,12]]=>[3,3,2,2,2]
[4,1,5,2,6,8,10,12,3,7,9,11]=>[4,5,6,1,2,3,8,7,10,9,12,11]=>[[1,2,3,7,9,11],[4,5,6,8,10,12]]=>[4,4,2,2]
[5,1,6,2,7,3,8,10,12,4,9,11]=>[5,6,7,8,1,2,3,4,10,9,12,11]=>[[1,2,3,4,9,11],[5,6,7,8,10,12]]=>[5,5,2]
[6,1,7,2,8,3,9,4,10,12,5,11]=>[6,7,8,9,10,1,2,3,4,5,12,11]=>[[1,2,3,4,5,11],[6,7,8,9,10,12]]=>[6,6]
[7,4,5,1,2,8,6,3]=>[7,4,1,8,5,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[6,8,7,5,2,4,1,3]=>[2,1,8,6,7,5,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[7,3,1,6,8,5,4,2]=>[7,6,3,8,5,1,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[5,3,1,7,4,8,6,2]=>[7,5,8,3,4,1,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[7,3,1,8,6,4,5,2]=>[3,7,8,6,4,1,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[8,6,4,1,7,3,2,5]=>[4,6,8,3,7,1,2,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[3,5,2,8,4,7,1,6]=>[5,3,2,4,8,1,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[6,4,8,3,7,2,1,5]=>[4,6,3,2,8,7,1,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[3,6,2,8,7,4,1,5]=>[3,8,6,2,7,4,1,5]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[9,8,2,3,4,5,6,7,1]=>[2,3,4,5,6,9,8,7,1]=>[[1,3,4,5,6,7],[2],[8],[9]]=>[2,7]
[10,9,2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,10,9,8,1]=>[[1,3,4,5,6,7,8],[2],[9],[10]]=>[2,8]
[4,7,3,2,5,6,8,1]=>[4,3,2,7,5,6,8,1]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[3,2,7,6,4,5,8,1]=>[3,7,6,2,4,5,8,1]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[1,7,3,6,8,4,2,5]=>[1,7,6,3,4,8,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[2,3,6,5,1,8,7,4]=>[8,6,5,2,3,7,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[8,3,1,2,6,4,7,5]=>[8,1,6,3,7,2,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[1,7,8,2,4,3,5,6]=>[1,2,7,4,8,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[3,6,4,7,1,2,8,5]=>[6,1,7,3,4,8,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[5,7,4,8,1,3,2,6]=>[5,1,4,7,3,8,2,6]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[4,3,7,8,1,5,2,6]=>[4,3,1,7,5,8,2,6]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[3,2,6,8,7,4,1,5]=>[3,8,6,2,4,7,1,5]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[2,3,7,5,1,8,6,4]=>[7,8,5,2,3,6,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[5,2,1,3,8,7,6,4]=>[8,7,5,2,6,1,3,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[7,2,1,5,3,8,4,6]=>[5,7,2,1,8,3,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[1,5,8,2,4,3,6,7]=>[5,1,2,4,8,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[4,3,6,8,1,5,2,7]=>[4,3,6,1,5,8,2,7]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[3,6,8,4,5,1,7,2]=>[3,6,4,5,8,7,1,2]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[8,6,1,7,2,4,3,5]=>[1,6,4,8,7,2,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[7,3,1,2,8,6,4,5]=>[1,7,8,3,6,2,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[2,3,7,6,1,8,5,4]=>[7,6,8,2,3,5,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[6,2,8,3,1,4,7,5]=>[6,2,8,3,7,1,4,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[3,1,2,8,7,4,5,6]=>[1,3,8,7,2,4,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[2,1,3,8,7,4,6,5]=>[8,2,7,6,1,3,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[2,1,3,8,7,4,5,6]=>[2,1,8,7,3,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[1,6,8,3,2,4,7,5]=>[6,1,8,3,7,2,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[8,5,1,7,2,4,3,6]=>[5,1,4,8,7,2,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[8,4,1,7,3,2,5,6]=>[4,3,1,8,7,2,5,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[8,3,1,6,2,7,5,4]=>[6,8,3,7,5,1,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[1,3,2,8,7,6,4,5]=>[3,8,7,6,1,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[2,1,3,8,7,6,4,5]=>[2,8,7,6,1,3,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[1,7,2,6,3,5,8,4]=>[7,1,6,2,5,3,8,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,7,8,2,6,3,5,4]=>[7,1,8,2,6,3,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,7,2,6,8,3,4,5]=>[1,2,7,3,6,4,8,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[1,7,2,4,6,3,5,8]=>[1,7,2,4,3,6,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[4,7,6,5,8,3,1,2]=>[1,7,6,4,5,8,3,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[2,6,8,3,1,4,5,7]=>[2,3,6,1,4,8,5,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[2,6,8,4,5,1,3,7]=>[2,1,6,4,5,8,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[5,6,2,8,4,1,3,7]=>[2,5,6,1,8,4,3,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[6,3,7,8,2,1,5,4]=>[6,3,7,2,8,5,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[2,4,8,3,1,6,7,5]=>[8,4,2,3,1,6,7,5]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[3,4,2,6,1,5,8,7]=>[8,3,4,2,1,6,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[2,5,8,3,1,6,4,7]=>[5,2,8,3,6,1,4,7]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[2,7,5,6,8,1,4,3]=>[7,2,1,5,6,8,4,3]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[2,8,1,3,5,7,4,6]=>[5,2,1,3,4,8,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[1,3,7,6,2,5,4,8]=>[7,3,6,1,2,5,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[5,4,7,8,3,2,6,1]=>[5,4,3,7,8,2,6,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[7,4,5,8,3,1,6,2]=>[4,5,7,3,8,6,1,2]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[3,6,8,2,5,1,4,7]=>[3,2,1,6,5,8,4,7]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[3,5,7,2,8,1,6,4]=>[5,3,7,2,8,1,6,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[3,4,7,5,8,1,6,2]=>[3,7,4,5,8,1,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[1,6,8,3,5,4,2,7]=>[6,1,8,3,5,4,2,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[1,5,3,2,4,6,8,7]=>[8,3,5,1,2,4,6,7]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[1,5,7,6,3,2,4,8]=>[1,7,5,6,3,2,4,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[1,6,3,2,4,7,5,8]=>[6,3,7,1,2,4,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[1,6,3,2,4,8,7,5]=>[8,6,3,7,1,2,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[1,2,7,6,4,3,5,8]=>[4,7,6,1,2,3,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[1,8,7,5,2,4,6,3]=>[5,1,8,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[1,7,5,2,4,6,3,8]=>[5,1,7,4,2,6,3,8]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[1,8,4,7,5,2,6,3]=>[8,1,7,4,5,6,2,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[1,7,5,2,6,3,4,8]=>[1,5,7,6,2,3,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[1,6,3,7,4,2,5,8]=>[3,6,7,1,4,2,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[1,3,2,4,8,5,7,6]=>[8,3,7,1,2,4,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[1,4,6,3,2,8,7,5]=>[8,6,4,7,1,3,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[1,6,3,2,8,4,7,5]=>[6,8,3,7,1,2,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[6,4,7,1,5,3,8,2]=>[4,6,7,5,1,3,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[4,3,8,2,6,5,7,1]=>[4,8,3,2,6,5,7,1]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[1,6,2,8,3,4,7,5]=>[6,1,8,2,7,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[5,7,1,4,8,2,3,6]=>[1,5,2,4,7,3,8,6]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[6,5,7,1,4,3,8,2]=>[6,5,1,7,4,3,8,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[4,8,3,5,7,6,1,2]=>[1,8,4,3,5,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[4,8,3,5,7,6,2,1]=>[8,4,3,5,7,6,2,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[5,7,6,2,4,8,3,1]=>[7,2,5,6,4,8,3,1]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[6,7,5,3,8,4,2,1]=>[6,7,5,8,3,4,2,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[3,2,1,4,8,5,7,6]=>[8,3,7,2,1,4,5,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[7,6,1,4,2,5,3,8]=>[7,1,4,6,5,2,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[7,6,2,5,1,4,3,8]=>[7,2,1,6,5,4,3,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[5,7,2,6,1,4,3,8]=>[5,2,7,1,6,4,3,8]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[6,2,1,8,3,5,4,7]=>[6,2,5,8,1,3,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[5,3,1,8,2,6,4,7]=>[5,3,8,1,6,2,4,7]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[6,4,1,3,2,7,5,8]=>[6,7,1,4,3,2,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[1,8,7,4,5,2,3,6]=>[1,2,8,4,7,5,3,6]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[1,2,6,8,7,3,4,5]=>[1,2,8,6,3,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[8,4,2,3,1,6,5,7]=>[2,8,4,6,3,1,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[8,4,2,3,6,5,1,7]=>[2,8,4,6,3,5,1,7]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[4,6,2,3,1,8,7,5]=>[8,6,2,4,7,3,1,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[4,2,6,1,5,8,3,7]=>[4,6,2,1,5,3,8,7]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[6,4,5,2,8,7,1,3]=>[2,8,4,6,5,1,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[4,2,3,6,5,8,1,7]=>[6,2,4,3,5,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,8,6,4,5,1,7,3]=>[6,2,8,4,5,7,1,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[8,6,2,1,4,7,3,5]=>[2,6,4,8,1,3,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[6,4,2,1,8,3,7,5]=>[6,8,4,2,7,1,3,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[2,8,6,4,3,7,5,1]=>[6,8,7,4,2,3,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[2,6,3,1,7,4,8,5]=>[6,7,8,2,3,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[1,3,7,4,5,2,8,6]=>[7,8,1,3,4,5,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[3,6,1,2,5,8,7,4]=>[8,6,1,3,2,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[1,8,7,4,5,3,2,6]=>[1,8,7,4,5,3,2,6]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[6,1,7,2,8,4,5,3]=>[6,1,7,8,4,2,5,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[6,5,1,3,8,7,2,4]=>[1,8,6,3,5,2,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[8,3,2,1,5,6,7,4]=>[8,3,2,1,5,6,7,4]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[3,2,6,7,8,4,5,1]=>[3,6,2,4,7,8,5,1]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[5,6,4,1,3,8,2,7]=>[5,1,6,4,3,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[7,2,6,3,5,8,1,4]=>[2,3,7,1,6,5,8,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[4,5,3,1,8,7,6,2]=>[8,7,4,5,3,6,1,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[6,3,4,2,7,8,5,1]=>[6,3,7,4,2,8,5,1]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[8,7,4,5,1,6,3,2]=>[4,5,8,7,6,3,1,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[6,2,7,8,1,3,5,4]=>[6,2,1,7,3,8,5,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[1,4,8,3,5,6,7,2]=>[4,3,1,5,6,8,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[5,8,2,3,1,7,4,6]=>[5,2,3,8,1,7,4,6]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[1,4,8,2,5,6,7,3]=>[4,5,1,2,6,8,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[2,3,4,5,10,6,7,8,9,1]=>[2,3,4,10,5,6,7,8,9,1]=>[[1,3,4,5,6,7,8,9],[2],[10]]=>[2,8]
[8,1,6,7,2,5,4,3]=>[6,8,1,7,2,5,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[8,1,4,6,5,3,2,7]=>[4,8,6,1,5,3,2,7]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[8,1,5,2,3,4,7,6]=>[8,1,2,3,7,5,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[8,1,4,7,6,5,2,3]=>[1,8,7,4,2,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[8,1,3,2,6,4,5,7]=>[1,3,8,6,2,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[8,1,2,7,6,5,4,3]=>[8,7,6,5,1,2,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[7,5,3,2,6,4,1,8]=>[5,7,6,3,2,4,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[3,5,8,2,6,4,7,1]=>[5,3,2,8,6,4,7,1]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[3,2,8,6,1,5,7,4]=>[8,3,2,6,1,5,7,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[3,7,2,5,8,4,6,1]=>[3,7,2,5,4,8,6,1]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[6,2,8,3,5,1,4,7]=>[2,3,6,1,8,5,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[6,2,7,4,5,3,1,8]=>[6,2,7,4,5,3,1,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[6,8,7,5,4,1,2,3]=>[1,2,8,6,7,5,4,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[7,4,5,6,1,8,2,3]=>[1,4,5,7,6,8,2,3]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[6,3,5,2,8,1,7,4]=>[6,3,5,8,2,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[7,8,6,1,2,5,4,3]=>[7,8,1,2,6,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[6,1,8,7,4,5,2,3]=>[1,8,2,6,7,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[6,1,8,7,3,4,2,5]=>[1,8,3,6,7,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[4,5,3,7,8,2,1,6]=>[4,5,3,2,7,8,1,6]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[4,7,8,1,6,2,5,3]=>[4,7,1,8,2,6,5,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[4,8,2,7,5,3,6,1]=>[4,8,2,7,5,3,6,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[1,3,8,2,5,4,6,7]=>[3,1,8,2,5,4,6,7]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[1,6,8,7,2,3,5,4]=>[8,1,2,6,7,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,2,4,5,8,6,3,7]=>[4,8,1,2,5,6,3,7]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[1,2,8,3,5,4,7,6]=>[8,1,7,5,2,3,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[1,6,7,5,2,4,8,3]=>[6,1,7,5,2,4,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[1,5,6,4,7,2,3,8]=>[1,5,6,2,4,7,3,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[1,6,4,3,7,5,2,8]=>[6,7,4,3,1,5,2,8]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[1,3,2,6,8,5,4,7]=>[6,3,8,1,2,5,4,7]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[1,7,8,5,4,2,3,6]=>[1,5,7,8,2,4,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[1,4,2,7,5,3,8,6]=>[7,8,4,5,1,2,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[1,8,4,7,3,2,6,5]=>[8,4,7,1,3,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[1,8,3,6,4,5,2,7]=>[1,8,3,6,4,5,2,7]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[1,6,4,7,3,2,8,5]=>[6,7,4,8,1,3,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[8,5,7,2,3,6,4,1]=>[5,2,8,3,7,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[3,1,5,6,8,4,2,7]=>[5,3,6,1,4,8,2,7]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[7,6,1,5,4,8,2,3]=>[1,7,6,2,5,4,8,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[2,8,7,3,4,6,1,5]=>[2,3,4,8,7,1,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[6,5,1,3,7,2,8,4]=>[6,5,1,7,3,8,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[7,1,8,3,4,5,2,6]=>[3,1,4,7,8,5,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[7,4,8,2,5,3,1,6]=>[4,2,7,8,5,3,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[3,8,7,1,2,4,5,6]=>[1,3,2,4,8,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[7,1,5,3,6,4,8,2]=>[7,5,1,6,3,4,8,2]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[6,8,2,3,4,7,1,5]=>[2,3,4,6,1,8,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[5,1,7,3,8,6,2,4]=>[3,7,5,8,1,2,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[6,2,1,3,4,7,8,5]=>[6,2,1,7,3,4,8,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[5,6,1,7,8,9,2,3,4]=>[1,2,5,6,7,3,8,9,4]=>[[1,2,3,4,7,8,9],[5,6]]=>[5,4]
[3,6,4,8,5,7,2,1]=>[6,3,8,4,5,7,2,1]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[5,8,4,7,3,6,2,1]=>[5,4,3,8,7,6,2,1]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[4,2,8,7,3,1,6,5]=>[8,4,7,2,6,3,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[6,5,8,2,1,7,4,3]=>[6,5,8,7,2,4,1,3]=>[[1,3],[2,4],[5,7],[6,8]]=>[2,4,2]
[5,1,3,2,6,8,7,4]=>[8,5,6,1,3,2,7,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[6,1,3,8,7,2,4,5]=>[1,3,8,6,2,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[4,2,1,8,7,6,3,5]=>[4,8,7,2,6,1,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[3,2,5,8,7,1,4,6]=>[3,2,8,1,5,4,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[5,6,3,8,7,2,1,4]=>[3,8,5,6,2,7,1,4]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[2,5,8,4,7,1,6,3]=>[5,4,2,8,1,7,6,3]=>[[1,3],[2,6],[4,7],[5,8]]=>[2,3,3]
[1,6,2,4,8,5,7,3]=>[6,8,1,2,4,5,7,3]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[3,1,6,5,8,7,2,4]=>[3,8,6,1,5,2,7,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[4,8,5,3,6,7,1,2]=>[1,4,5,8,3,6,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[1,8,5,3,4,7,6,2]=>[8,5,1,7,3,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[7,5,2,1,4,3,6,8]=>[2,7,5,4,1,3,6,8]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[2,3,7,5,6,1,4,8]=>[2,3,7,1,5,6,4,8]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[5,1,4,7,6,3,2,8]=>[7,5,4,1,6,3,2,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[2,8,7,3,5,6,4,1]=>[8,2,3,7,5,6,4,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[7,2,5,4,8,1,3,6]=>[2,1,7,5,4,3,8,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[1,3,4,8,6,7,2,5]=>[1,8,3,4,2,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[8,3,1,4,6,7,5,2]=>[8,3,4,1,6,7,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[6,4,5,8,3,1,7,2]=>[4,6,5,3,8,7,1,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[2,7,8,5,6,4,1,3]=>[2,7,1,5,8,6,4,3]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[5,6,2,4,8,3,1,7]=>[5,2,6,4,3,8,1,7]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[8,7,2,4,1,5,3,6]=>[4,2,5,8,7,1,3,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[1,6,8,7,3,5,2,4]=>[1,8,3,6,2,7,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[2,7,3,4,5,8,6,1]=>[7,2,3,8,4,5,6,1]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[7,5,3,4,8,6,2,1]=>[7,3,8,5,4,6,2,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[8,4,3,1,7,2,5,6]=>[4,3,1,8,2,7,5,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[6,8,3,4,2,5,7,1]=>[3,4,6,2,8,5,7,1]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[4,2,8,3,5,1,6,7]=>[4,2,3,5,8,1,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[4,3,6,5,1,2,7,8]=>[1,6,4,3,5,2,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[8,1,3,7,5,4,6,2]=>[8,1,7,3,5,4,6,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[8,1,3,7,5,4,2,6]=>[3,8,7,1,5,4,2,6]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[1,8,3,7,6,4,2,5]=>[1,8,7,6,3,4,2,5]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[5,8,3,7,6,4,2,1]=>[8,5,7,3,6,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[1,3,8,7,6,5,2,4]=>[3,8,7,6,1,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[2,8,1,7,6,4,5,3]=>[8,2,7,4,1,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[8,2,1,7,5,4,6,3]=>[8,2,7,5,4,1,6,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[3,8,2,7,6,4,5,1]=>[3,8,7,2,4,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[4,8,7,2,6,3,1,5]=>[4,2,8,7,3,6,1,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[8,7,2,1,4,3,5,6]=>[2,4,8,1,7,3,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[5,8,7,2,6,3,1,4]=>[2,5,8,7,3,6,1,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[2,8,7,1,6,3,4,5]=>[2,1,8,3,7,4,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[5,8,7,1,6,3,4,2]=>[5,1,8,7,3,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[5,8,7,1,6,3,2,4]=>[1,5,8,7,6,3,2,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[1,4,8,7,6,5,2,3]=>[1,8,7,6,4,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[8,4,2,7,6,5,3,1]=>[8,7,4,6,5,2,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[6,8,7,5,2,4,3,1]=>[8,2,6,7,5,4,3,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[6,8,7,2,4,5,1,3]=>[2,1,4,8,6,7,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[1,2,5,7,4,8,6,3]=>[7,5,8,1,2,4,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[6,2,1,8,7,5,3,4]=>[2,8,6,7,5,1,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[4,2,1,5,3,8,6,7]=>[4,8,5,2,1,3,6,7]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[4,6,5,3,2,8,1,7]=>[6,4,5,3,2,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[2,8,3,4,1,5,6,7]=>[2,3,4,1,8,5,6,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[4,2,1,7,6,5,8,3]=>[7,6,4,5,2,1,8,3]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[3,8,7,5,4,1,6,2]=>[5,8,7,3,4,6,1,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[4,5,6,3,1,8,2,7]=>[4,5,6,3,1,8,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[6,2,4,3,1,8,5,7]=>[6,2,8,4,3,1,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[5,4,6,3,8,1,2,7]=>[1,5,4,6,3,2,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[5,8,7,1,4,3,6,2]=>[8,1,5,4,7,3,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[5,7,3,8,4,2,6,1]=>[5,3,7,8,4,2,6,1]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[5,6,8,3,2,4,1,7]=>[3,5,6,2,8,4,1,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[3,2,6,5,4,8,1,7]=>[6,5,3,2,4,1,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[1,2,7,6,4,8,3,5]=>[4,7,6,1,2,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[2,8,7,6,1,3,5,4]=>[8,2,1,7,6,3,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[7,6,4,8,2,5,3,1]=>[4,7,6,8,2,5,3,1]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[7,6,4,8,1,3,2,5]=>[1,7,4,6,3,8,2,5]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[4,8,1,6,7,5,2,3]=>[1,6,4,8,2,7,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[6,8,4,1,7,5,2,3]=>[1,6,8,4,7,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[8,1,4,6,7,5,2,3]=>[1,6,4,2,8,7,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[6,4,8,1,2,7,5,3]=>[6,8,1,4,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[4,2,8,6,1,7,5,3]=>[8,4,6,7,2,5,1,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[8,2,6,4,1,7,5,3]=>[8,6,2,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[8,1,2,6,4,7,5,3]=>[8,6,1,7,2,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[8,4,1,6,2,7,5,3]=>[6,4,8,7,5,1,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[4,8,6,1,2,7,5,3]=>[8,4,1,6,7,5,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[4,8,1,2,6,7,5,3]=>[6,4,1,8,2,7,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[6,8,2,1,4,7,5,3]=>[6,8,2,7,1,4,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[8,1,6,2,4,7,5,3]=>[8,6,1,2,7,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[8,6,1,2,4,7,5,3]=>[6,8,1,2,7,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[6,8,2,4,1,7,5,3]=>[6,8,2,4,7,5,1,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[4,8,2,6,1,7,5,3]=>[6,4,8,2,7,5,1,3]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[6,4,2,8,1,7,5,3]=>[6,8,4,7,2,1,5,3]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[8,2,1,4,6,7,5,3]=>[8,4,2,1,6,7,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[8,2,4,6,1,7,5,3]=>[6,4,2,8,7,5,1,3]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[2,3,4,5,6,7,8,1,10,9]=>[10,2,3,4,5,6,7,8,1,9]=>[[1,3,4,5,6,7,8,9],[2],[10]]=>[2,8]
[8,2,6,5,7,1,3,4]=>[2,1,3,8,6,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[4,6,1,3,2,8,7,5]=>[8,6,4,1,7,3,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[5,4,6,7,1,3,8,2]=>[5,1,4,6,7,3,8,2]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[7,1,4,8,2,3,6,5]=>[7,1,2,8,4,3,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[4,5,3,6,7,1,8,2]=>[4,5,3,6,7,8,1,2]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[1,4,7,8,3,5,2,6]=>[4,3,1,5,7,8,2,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[4,6,1,3,5,2,8,7]=>[8,4,1,3,6,5,2,7]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[1,7,6,3,5,8,4,2]=>[7,6,1,5,3,8,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[2,5,1,4,8,3,7,6]=>[8,5,2,1,4,3,7,6]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[5,1,4,3,8,6,7,2]=>[5,8,4,1,3,6,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[6,1,2,5,4,8,7,3]=>[8,6,5,1,2,4,7,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[8,4,1,7,3,5,6,2]=>[4,3,1,8,7,5,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[8,4,1,2,5,7,3,6]=>[4,1,2,8,5,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[2,4,5,6,8,3,1,7]=>[4,2,5,6,3,8,1,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[3,8,4,2,1,6,5,7]=>[3,8,6,4,2,1,5,7]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[3,4,7,1,2,6,8,5]=>[7,1,3,4,2,6,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[4,1,8,6,5,2,3,7]=>[1,6,8,4,5,2,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[3,4,5,8,6,2,1,7]=>[3,8,4,5,6,2,1,7]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[4,8,6,2,5,1,7,3]=>[4,8,2,6,5,7,1,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[8,5,3,4,6,1,7,2]=>[3,5,4,8,6,7,1,2]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[6,2,8,7,1,3,5,4]=>[8,2,1,6,7,3,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[8,3,7,2,1,6,5,4]=>[8,7,3,2,6,5,1,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[8,4,7,6,2,5,1,3]=>[2,4,8,1,7,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[8,4,7,3,6,2,1,5]=>[4,3,2,8,7,6,1,5]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[3,8,7,5,6,4,1,2]=>[1,8,3,7,5,6,4,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[3,8,7,5,6,2,4,1]=>[3,2,8,7,5,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[4,3,2,5,6,7,8,9,1]=>[4,3,2,5,6,7,8,9,1]=>[[1,5,6,7,8,9],[2],[3],[4]]=>[4,5]
[5,4,3,2,6,7,8,9,1]=>[5,4,3,2,6,7,8,9,1]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>[5,4]
[7,6,5,4,3,2,8,9,1]=>[7,6,5,4,3,2,8,9,1]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,2]
[4,3,2,5,6,7,8,9,10,1]=>[4,3,2,5,6,7,8,9,10,1]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>[4,6]
[5,4,3,2,6,7,8,9,10,1]=>[5,4,3,2,6,7,8,9,10,1]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>[5,5]
[6,5,4,3,2,7,8,9,10,1]=>[6,5,4,3,2,7,8,9,10,1]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>[6,4]
[7,6,5,4,3,2,8,9,10,1]=>[7,6,5,4,3,2,8,9,10,1]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>[7,3]
[8,7,6,5,4,3,2,9,10,1]=>[8,7,6,5,4,3,2,9,10,1]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[8,2]
[10,1,9,2,8,3,7,4,6,5]=>[10,1,9,2,8,3,7,4,6,5]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[10]
[1,5,6,3,8,2,7,4]=>[5,6,8,1,3,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[2,6,3,5,7,8,1,4]=>[2,3,6,1,5,7,8,4]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[1,5,6,3,7,2,8,4]=>[5,6,7,1,3,8,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[1,7,5,3,6,2,8,4]=>[5,7,6,3,1,8,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[1,5,7,3,4,2,8,6]=>[7,5,1,3,8,4,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,4,5,3,8,2,7,6]=>[8,4,5,1,3,2,7,6]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[1,7,5,4,2,8,6,3]=>[7,8,5,4,6,1,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[4,1,5,6,8,3,2,7]=>[4,5,6,1,3,8,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[5,4,7,1,8,6,3,2]=>[7,5,4,8,6,3,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[3,1,5,6,8,4,7,2]=>[5,3,6,1,4,8,7,2]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[3,6,1,8,2,5,4,7]=>[6,3,1,5,8,2,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[5,8,3,2,1,7,4,6]=>[5,3,8,2,7,1,4,6]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[8,5,1,3,6,2,4,7]=>[1,5,3,2,8,6,4,7]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[3,8,1,2,6,5,4,7]=>[6,8,1,3,2,5,4,7]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[1,2,8,5,6,4,3,7]=>[5,8,1,6,2,4,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[7,5,1,8,3,4,2,6]=>[1,7,5,3,8,4,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[5,2,8,1,7,4,3,6]=>[5,2,8,7,1,4,3,6]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[5,4,7,1,2,3,8,6]=>[7,1,2,5,4,8,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[1,4,8,2,6,7,3,5]=>[4,1,6,2,3,8,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[1,2,5,6,8,7,3,4]=>[1,8,5,2,3,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[2,6,7,3,4,1,8,5]=>[6,2,7,3,8,4,1,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[1,5,6,7,2,8,4,3]=>[5,6,7,1,8,4,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[1,3,7,2,6,4,8,5]=>[7,6,3,1,2,8,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[1,5,8,6,7,3,4,2]=>[8,1,3,5,6,7,4,2]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[1,6,5,8,7,2,4,3]=>[8,1,6,5,7,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[1,5,7,6,2,8,3,4]=>[1,7,5,6,2,8,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[1,2,6,5,7,3,8,4]=>[6,5,7,1,2,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[7,3,8,6,4,2,1,5]=>[3,7,8,6,4,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[3,6,5,8,1,2,7,4]=>[6,1,5,3,8,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[5,4,7,8,1,6,3,2]=>[5,4,7,8,1,6,3,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[5,3,6,8,1,2,7,4]=>[5,1,6,3,8,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[4,6,5,8,3,2,7,1]=>[6,4,5,3,8,2,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[4,5,6,8,2,3,7,1]=>[2,4,5,6,3,8,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[2,5,8,7,1,6,4,3]=>[8,5,2,7,6,1,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[7,3,6,8,5,2,1,4]=>[3,7,2,6,8,5,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[8,3,6,7,5,2,4,1]=>[3,6,2,8,7,5,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[2,4,7,8,5,6,3,1]=>[7,2,4,5,8,6,3,1]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[3,6,8,7,5,2,4,1]=>[3,8,6,2,7,5,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[6,4,7,8,5,1,3,2]=>[6,1,7,4,8,5,3,2]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[7,8,4,6,5,3,1,2]=>[1,7,4,8,6,5,3,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[6,8,4,7,5,1,3,2]=>[6,1,8,4,7,5,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[4,5,6,7,8,3,9,1,2]=>[1,4,5,6,7,8,3,9,2]=>[[1,2,5,6,7,8,9],[3],[4]]=>[4,5]
[8,9,2,3,4,5,1,6,7]=>[2,3,4,5,1,8,9,6,7]=>[[1,3,4,5,6,7],[2,8,9]]=>[2,6,1]
[7,6,3,5,4,1,2,8]=>[1,7,3,6,5,4,2,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[2,7,3,1,6,5,4,8]=>[7,6,2,5,3,1,4,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[7,6,1,2,3,5,4,8]=>[7,1,2,3,6,5,4,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[1,8,5,7,2,3,6,4]=>[8,1,2,5,7,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[6,1,3,8,4,2,5,7]=>[1,6,3,8,4,2,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[2,8,7,5,1,6,3,4]=>[2,8,1,7,5,6,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[8,7,6,4,2,1,5,3]=>[4,8,7,6,5,2,1,3]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[5,8,7,2,3,1,6,4]=>[5,2,8,7,3,6,1,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[3,5,8,1,4,7,2,6]=>[3,5,1,4,2,8,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[3,8,7,5,2,6,4,1]=>[8,3,7,5,6,2,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[4,6,3,1,8,7,2,5]=>[4,8,3,6,1,7,2,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[8,3,6,7,1,5,2,4]=>[3,1,6,2,8,7,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[3,8,7,5,1,2,6,4]=>[8,1,3,7,5,6,2,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[8,1,3,5,6,2,4,7]=>[3,1,2,5,6,8,4,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[5,8,3,2,4,7,6,1]=>[8,3,5,2,7,4,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[5,8,2,1,3,4,7,6]=>[8,2,1,5,3,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[2,5,1,4,3,6,7,8]=>[5,2,1,4,3,6,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[5,3,8,2,4,6,1,7]=>[3,5,2,4,6,8,1,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[4,5,8,3,2,6,1,7]=>[4,5,3,2,8,6,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[4,1,5,8,3,6,2,7]=>[4,5,3,1,6,8,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[2,6,7,8,3,1,5,4]=>[6,2,7,3,8,5,1,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[4,7,8,5,2,3,1,6]=>[2,4,7,5,8,3,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[2,7,1,3,8,5,4,6]=>[2,7,8,1,5,3,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[2,6,7,8,4,1,3,5]=>[2,1,6,4,7,8,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[2,6,7,8,4,3,1,5]=>[2,6,7,4,8,3,1,5]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[7,1,2,6,3,8,4,5]=>[1,7,6,2,3,8,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[8,1,2,6,5,3,7,4]=>[6,8,5,1,2,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[8,1,4,6,7,2,3,5]=>[1,4,2,3,6,8,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[8,5,1,7,2,6,3,4]=>[1,5,8,2,7,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[7,3,8,1,2,5,4,6]=>[1,7,3,2,8,5,4,6]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[7,4,1,8,2,5,3,6]=>[4,1,7,8,5,2,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[6,4,1,7,2,8,3,5]=>[4,6,1,7,8,2,3,5]=>[[1,2,3,5],[4,6,7,8]]=>[4,2,2]
[6,8,1,2,3,5,7,4]=>[6,1,2,3,5,8,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[7,3,4,1,2,8,6,5]=>[7,8,1,3,6,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[7,1,8,3,2,4,5,6]=>[3,1,2,7,8,4,5,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[8,1,2,5,7,6,3,4]=>[1,8,5,2,3,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[6,8,7,3,1,2,4,5]=>[1,3,2,8,6,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[7,4,8,3,1,2,6,5]=>[7,1,4,8,3,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[8,4,5,3,1,6,7,2]=>[4,5,3,8,6,1,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[8,2,3,1,6,7,4,5]=>[2,8,3,1,4,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[8,2,1,7,4,3,5,6]=>[2,4,8,7,1,3,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[7,2,6,8,4,1,3,5]=>[2,1,7,4,6,8,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[8,1,7,3,4,2,5,6]=>[1,3,8,4,2,7,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[6,1,8,3,2,7,4,5]=>[3,6,8,1,7,2,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[1,3,4,6,8,5,2,7]=>[6,3,1,4,5,8,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[1,4,6,8,5,2,7,3]=>[6,4,5,1,8,7,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[1,4,5,7,2,8,6,3]=>[7,4,5,1,8,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[3,7,5,8,2,4,6,1]=>[3,2,7,5,4,8,6,1]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[3,8,4,7,5,6,2,1]=>[3,8,4,7,5,6,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[4,2,8,6,3,7,5,1]=>[8,4,6,7,2,3,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[4,1,7,6,3,8,5,2]=>[7,6,4,8,3,1,5,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[4,5,2,1,8,7,3,6]=>[4,8,5,2,7,1,3,6]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[4,7,3,8,2,6,5,1]=>[7,4,3,8,2,6,5,1]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[4,7,3,1,8,6,2,5]=>[4,7,3,8,1,6,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[6,2,1,3,7,4,8,5]=>[6,7,2,8,1,3,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[5,1,4,7,8,2,6,3]=>[5,4,1,7,2,8,6,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[3,8,7,5,2,1,6,4]=>[8,3,7,5,6,2,1,4]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[3,6,5,8,4,2,7,1]=>[6,5,3,4,8,2,7,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[8,4,2,3,6,7,5,1]=>[8,2,4,3,6,7,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[6,1,2,4,5,7,8,3]=>[4,1,2,6,5,7,8,3]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[4,5,1,3,7,6,8,2]=>[7,4,1,5,3,6,8,2]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[3,6,2,4,5,8,7,1]=>[8,3,2,4,6,5,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[5,1,2,8,7,4,6,3]=>[5,8,7,1,2,4,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[4,1,7,5,3,8,6,2]=>[7,8,4,5,3,1,6,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[5,1,2,8,6,7,4,3]=>[8,5,1,6,7,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[2,6,4,1,5,8,7,3]=>[8,6,2,4,5,1,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[7,6,5,2,4,3,8,1]=>[7,2,6,5,4,3,8,1]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[7,6,5,2,4,3,1,8]=>[7,2,6,5,4,3,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[3,6,4,5,2,8,1,7]=>[3,6,4,5,2,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[8,1,5,6,3,7,2,4]=>[1,5,6,3,8,2,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[8,1,5,4,7,3,6,2]=>[8,1,5,4,3,7,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[3,5,1,4,6,8,7,2]=>[8,3,5,1,4,6,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[7,6,5,4,1,3,8,2]=>[7,1,6,5,4,3,8,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[7,6,5,2,8,3,1,4]=>[2,7,6,5,8,3,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[7,6,5,4,1,8,2,3]=>[1,7,6,5,4,8,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[3,6,4,1,5,7,2,8]=>[3,6,4,5,1,7,2,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[2,5,1,4,6,7,8,3]=>[5,2,1,4,6,7,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[3,6,4,1,5,7,8,2]=>[3,6,4,5,1,7,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[1,4,3,7,5,2,8,6]=>[7,8,4,3,1,5,2,6]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[6,2,7,4,3,1,8,5]=>[6,7,8,4,2,3,1,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[1,7,2,4,3,5,8,6]=>[7,1,8,4,2,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[3,8,1,7,4,2,6,5]=>[8,3,7,1,6,4,2,5]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[4,8,5,3,6,1,7,2]=>[4,5,8,3,6,7,1,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[2,8,3,1,4,7,5,6]=>[2,8,3,1,7,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[5,7,3,8,6,4,2,1]=>[7,5,8,6,3,4,2,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[7,3,6,5,4,8,1,2]=>[1,7,6,3,5,4,8,2]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[1,4,2,3,8,6,7,5]=>[8,1,6,4,2,3,7,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[6,1,3,4,7,8,5,2]=>[6,3,1,7,4,8,5,2]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[2,7,3,1,8,4,5,6]=>[2,3,7,8,1,4,5,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[6,3,1,8,2,5,7,4]=>[6,3,8,1,2,5,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[5,2,8,7,3,4,6,1]=>[2,5,8,3,7,4,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[2,4,8,7,3,6,1,5]=>[4,2,8,3,1,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[1,6,8,4,5,3,7,2]=>[6,4,1,5,8,3,7,2]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[1,2,8,3,5,6,4,7]=>[1,8,2,5,3,6,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[3,5,7,4,8,1,6,2]=>[5,3,4,7,8,1,6,2]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[4,2,8,3,1,5,7,6]=>[8,4,2,3,7,1,5,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[1,8,4,2,5,6,3,7]=>[4,1,8,5,2,6,3,7]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[1,5,2,8,6,4,3,7]=>[5,8,6,4,1,2,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[4,7,8,5,2,1,3,6]=>[2,4,7,5,8,1,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[6,1,5,2,8,7,3,4]=>[1,8,6,5,2,7,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[8,1,3,5,7,4,2,6]=>[5,3,1,4,8,7,2,6]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[3,1,8,5,4,7,2,6]=>[5,3,8,4,1,2,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[5,4,2,1,8,3,6,7]=>[5,4,2,1,8,3,6,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[4,2,5,1,8,7,3,6]=>[4,8,5,2,1,7,3,6]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[6,8,2,7,1,4,3,5]=>[2,6,1,8,4,7,3,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[8,6,3,1,5,7,2,4]=>[3,1,6,8,5,2,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[1,2,5,4,7,8,3,6]=>[5,4,1,2,3,7,8,6]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[6,8,4,1,3,7,2,5]=>[1,6,4,3,8,2,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[5,2,8,3,6,4,7,1]=>[5,2,8,6,3,4,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[1,6,2,3,5,7,8,4]=>[6,1,2,5,3,7,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[7,2,5,1,3,4,8,6]=>[7,2,1,3,8,5,4,6]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[8,2,4,6,1,7,3,5]=>[4,2,1,6,8,7,3,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[1,5,7,2,3,6,8,4]=>[5,1,7,2,3,6,8,4]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[7,3,1,4,2,5,8,6]=>[7,3,4,8,1,2,5,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[4,2,5,3,7,8,1,6]=>[4,5,2,3,1,7,8,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[4,3,5,1,6,2,7,8]=>[4,3,5,6,1,2,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[8,5,1,7,4,6,2,3]=>[1,5,8,2,7,4,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[5,4,8,3,1,7,2,6]=>[5,4,3,1,8,7,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[5,1,4,8,3,2,7,6]=>[8,5,4,1,3,7,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[3,8,7,2,6,4,1,5]=>[3,8,2,7,4,6,1,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[3,8,7,4,6,1,2,5]=>[1,3,4,8,7,2,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,7,6,3,5,4,1,2]=>[1,8,3,7,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[2,5,4,8,3,1,7,6]=>[8,5,4,2,3,7,1,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[5,4,8,2,1,3,7,6]=>[8,2,5,4,1,7,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[3,8,7,2,6,1,5,4]=>[8,3,2,7,1,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[1,8,4,7,6,3,5,2]=>[8,1,7,4,3,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[1,8,3,7,6,5,2,4]=>[1,8,7,6,3,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[7,1,5,4,6,2,3,8]=>[1,7,2,5,4,6,3,8]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,2,1]
[7,8,1,5,2,3,6,4]=>[7,1,2,5,8,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[3,1,6,5,7,4,2,8]=>[6,5,3,7,1,4,2,8]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[5,6,1,7,4,2,3,8]=>[1,5,6,7,4,2,3,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[4,2,7,8,5,1,6,3]=>[4,7,5,2,8,6,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[3,8,6,1,7,4,2,5]=>[3,8,4,6,7,1,2,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[2,6,8,3,1,7,4,5]=>[2,6,8,3,1,7,4,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[2,5,4,8,1,7,3,6]=>[5,4,2,1,8,3,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[7,6,2,8,4,3,5,1]=>[4,7,6,8,2,3,5,1]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[6,8,1,2,5,7,3,4]=>[1,6,2,3,5,8,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[3,8,6,4,7,5,2,1]=>[6,8,7,3,4,5,2,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[5,6,3,1,4,2,7,8]=>[3,5,6,4,1,2,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[2,6,1,5,3,4,7,8]=>[2,6,1,3,5,4,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[5,2,3,6,7,4,1,8]=>[5,2,6,3,7,4,1,8]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[5,2,3,6,4,8,7,1]=>[8,5,2,6,3,4,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[8,7,5,4,2,6,3,1]=>[5,8,7,4,6,2,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[3,7,6,2,5,4,8,1]=>[7,3,6,2,5,4,8,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[1,5,4,8,6,2,7,3]=>[5,8,4,6,1,7,2,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[4,5,2,7,6,3,8,1]=>[7,4,5,6,2,3,8,1]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[2,1,8,6,5,3,7,4]=>[6,8,5,7,2,1,3,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[6,1,5,7,4,8,2,3]=>[1,6,5,2,7,4,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[8,1,4,3,7,5,2,6]=>[1,8,7,4,3,5,2,6]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[8,4,6,1,3,7,2,5]=>[4,1,3,6,8,2,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[7,4,6,1,5,8,2,3]=>[1,4,7,2,6,5,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[4,8,5,1,2,3,6,7]=>[1,2,4,5,8,3,6,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[8,6,2,4,5,1,3,7]=>[2,1,4,6,8,5,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[4,2,7,1,3,6,8,5]=>[7,2,4,1,3,6,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[5,8,3,6,4,7,2,1]=>[5,3,8,6,4,7,2,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[1,5,8,4,6,2,7,3]=>[5,4,6,1,8,7,2,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[1,7,5,6,2,8,4,3]=>[7,5,6,1,8,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[7,3,6,5,8,4,2,1]=>[7,6,3,5,8,4,2,1]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[5,4,6,8,3,2,7,1]=>[5,4,6,3,8,2,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[7,4,2,3,6,8,5,1]=>[7,2,4,6,3,8,5,1]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[7,8,1,3,6,4,5,2]=>[7,1,3,4,8,6,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[7,3,6,8,5,1,4,2]=>[3,7,6,1,8,5,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[7,5,8,1,6,2,4,3]=>[5,1,7,8,6,2,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[7,5,2,4,8,3,1,6]=>[2,7,5,4,3,8,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[7,8,3,1,6,2,5,4]=>[7,3,1,8,6,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[7,3,8,1,6,4,5,2]=>[3,7,8,1,4,6,5,2]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[1,7,5,8,2,4,6,3]=>[5,1,7,4,2,8,6,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[7,5,2,8,1,4,6,3]=>[5,2,7,4,1,8,6,3]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[3,7,8,2,1,6,4,5]=>[3,7,2,1,8,6,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[7,8,1,6,2,5,4,3]=>[7,8,1,6,2,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[7,1,6,8,5,4,3,2]=>[7,6,8,5,1,4,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[8,7,1,6,5,4,2,3]=>[1,8,7,6,2,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[7,8,1,6,5,4,2,3]=>[1,7,8,6,2,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[4,5,8,2,3,6,1,7]=>[2,4,5,3,6,8,1,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[5,6,8,1,2,3,7,4]=>[5,1,2,6,8,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[8,5,7,1,3,6,2,4]=>[1,5,3,2,8,7,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[4,8,1,2,7,6,5,3]=>[8,7,4,1,6,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[4,6,1,2,8,5,7,3]=>[6,4,1,8,2,5,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[3,6,2,1,8,5,7,4]=>[6,8,3,2,5,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[5,4,7,3,2,6,1,8]=>[5,4,3,7,2,6,1,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[6,4,7,3,5,2,1,8]=>[4,6,3,7,5,2,1,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[3,6,2,8,1,4,7,5]=>[6,3,2,8,1,4,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[4,7,8,2,1,6,3,5]=>[4,2,7,1,8,6,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[5,7,8,4,2,1,3,6]=>[2,5,4,7,8,1,3,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[7,5,8,4,3,1,2,6]=>[1,5,7,4,8,3,2,6]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[6,4,8,3,1,2,7,5]=>[6,1,8,4,3,7,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[6,4,8,3,5,2,1,7]=>[4,6,3,5,8,2,1,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[3,1,6,2,5,7,8,4]=>[6,3,1,5,2,7,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[3,1,6,5,7,8,2,4]=>[3,6,1,5,2,7,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[2,1,6,3,5,7,4,8]=>[6,2,5,1,3,7,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[1,6,4,5,2,7,3,8]=>[6,4,1,5,7,2,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[1,6,5,2,7,3,4,8]=>[1,6,5,7,2,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[2,1,6,5,7,3,4,8]=>[2,6,5,1,3,7,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[2,7,4,3,5,1,6,8]=>[4,2,7,3,5,1,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[1,5,7,2,6,3,4,8]=>[1,5,7,2,3,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[6,2,1,4,5,3,7,8]=>[6,2,1,4,5,3,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[6,2,1,5,7,3,4,8]=>[2,6,1,5,3,7,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[1,2,3,4,5,8,9,6,7]=>[1,8,2,3,4,5,6,9,7]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[1,2,4,6,8,3,7,5]=>[6,4,1,2,8,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[1,3,5,8,2,6,7,4]=>[5,3,1,6,2,8,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[6,1,3,7,2,8,5,4]=>[6,7,8,1,3,5,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[6,4,5,8,3,7,1,2]=>[1,4,6,5,3,8,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[8,1,4,3,6,7,2,5]=>[4,1,3,8,2,6,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[2,6,8,4,3,1,7,5]=>[6,8,2,7,4,3,1,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[3,8,5,1,6,2,4,7]=>[3,1,5,8,6,2,4,7]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[1,4,5,7,8,3,2,6]=>[4,5,1,3,7,8,2,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[1,6,7,4,2,8,3,5]=>[4,6,7,1,2,8,3,5]=>[[1,2,3,5],[4,6,7,8]]=>[4,2,2]
[1,7,8,4,3,6,2,5]=>[1,7,4,8,3,2,6,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[5,7,8,1,4,3,2,6]=>[5,1,7,4,8,3,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[1,5,8,7,4,3,2,6]=>[5,8,4,7,1,3,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[5,1,3,7,8,2,4,6]=>[1,5,3,2,4,7,8,6]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[1,7,8,4,3,2,6,5]=>[7,4,8,6,1,3,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[1,4,7,2,3,6,8,5]=>[7,1,4,2,3,6,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[3,1,2,6,7,8,5,4]=>[6,7,1,3,2,8,5,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[6,3,1,4,2,7,8,5]=>[6,3,7,4,1,2,8,5]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[2,4,3,7,6,1,8,5]=>[7,6,4,2,3,8,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[7,2,1,5,6,3,8,4]=>[7,5,2,1,6,8,3,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[4,3,1,8,6,2,7,5]=>[8,4,6,3,7,1,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[1,2,8,4,3,7,6,5]=>[8,7,4,6,1,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[2,6,1,8,7,4,3,5]=>[2,8,6,7,4,1,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[5,1,8,6,3,2,4,7]=>[3,5,8,6,1,2,4,7]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[1,5,4,2,8,6,3,7]=>[5,8,4,6,1,2,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[1,4,2,8,5,3,7,6]=>[8,4,7,5,1,2,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[8,3,1,6,4,2,5,7]=>[3,4,8,6,1,2,5,7]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[1,7,4,8,3,5,2,6]=>[4,3,7,1,5,8,2,6]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[7,3,2,4,8,5,1,6]=>[3,7,2,8,4,5,1,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[5,7,8,1,4,2,6,3]=>[5,4,1,7,8,6,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[1,8,4,2,7,5,3,6]=>[4,8,5,7,1,2,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[6,5,1,7,2,8,4,3]=>[6,5,7,8,4,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[1,2,8,7,6,4,3,5]=>[4,8,7,6,1,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[4,1,8,7,6,3,5,2]=>[4,8,7,6,1,3,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[4,8,2,6,3,5,1,7]=>[4,2,3,8,6,5,1,7]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[3,1,5,8,2,7,4,6]=>[5,3,1,8,2,4,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[6,1,8,4,5,3,2,7]=>[6,1,8,4,5,3,2,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[4,5,2,7,1,6,3,8]=>[4,5,7,2,1,6,3,8]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[4,1,8,5,3,6,7,2]=>[4,5,8,3,1,6,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[6,3,8,4,5,1,7,2]=>[3,6,4,8,5,7,1,2]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[2,6,1,8,5,7,4,3]=>[6,8,5,2,1,7,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>[2,4,2]
[6,3,8,4,5,2,7,1]=>[3,6,4,8,5,2,7,1]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[2,1,6,8,5,3,7,4]=>[6,8,2,5,1,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[6,5,8,7,4,1,2,3]=>[1,2,8,6,5,7,4,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[6,5,8,7,2,4,1,3]=>[2,1,8,6,5,7,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[6,1,8,4,5,7,3,2]=>[6,4,1,8,5,7,3,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[2,4,8,3,7,6,5,1]=>[8,7,4,2,3,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[5,1,7,8,4,6,3,2]=>[5,7,4,1,8,6,3,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[2,6,8,5,4,3,7,1]=>[6,5,8,2,4,3,7,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[3,6,8,2,5,4,7,1]=>[6,3,2,5,8,4,7,1]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[4,6,2,8,3,5,7,1]=>[4,2,6,3,8,5,7,1]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[3,6,1,8,5,7,4,2]=>[6,8,3,5,1,7,4,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[5,2,6,8,4,1,7,3]=>[5,6,4,2,8,7,1,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[5,7,2,4,8,6,3,1]=>[7,5,2,8,4,6,3,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[3,5,8,2,7,4,6,1]=>[5,3,2,8,4,7,6,1]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[2,6,7,8,5,1,4,3]=>[6,2,7,1,8,5,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[7,1,5,2,3,8,4,6]=>[1,7,5,2,3,8,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[8,6,4,3,1,7,5,2]=>[6,8,7,4,3,5,1,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[4,8,2,1,7,5,6,3]=>[4,8,7,2,1,5,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[1,5,4,8,6,2,3,7]=>[1,5,8,4,2,6,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[8,2,1,7,5,3,6,4]=>[8,2,7,5,6,1,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[8,3,4,7,1,5,6,2]=>[3,4,5,1,8,7,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[5,3,2,8,7,6,1,4]=>[3,8,7,5,2,1,6,4]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[6,2,8,1,7,5,3,4]=>[2,6,8,7,1,3,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[3,2,6,8,1,7,5,4]=>[6,8,3,2,7,1,5,4]=>[[1,4],[2,5],[3,7],[6,8]]=>[3,3,2]
[5,2,8,7,6,3,1,4]=>[2,8,7,5,6,3,1,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[3,5,1,8,7,6,2,4]=>[3,8,7,1,5,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[5,6,2,7,8,1,3,4]=>[2,1,5,6,3,7,8,4]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[4,7,3,5,6,1,2,8]=>[1,4,3,5,7,6,2,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[4,7,8,3,5,6,1,2]=>[1,4,3,5,7,8,6,2]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[4,7,8,3,5,1,2,6]=>[1,4,3,5,7,8,2,6]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[1,2,3,4,5,8,6,7,9]=>[1,8,2,3,4,5,6,7,9]=>[[1,2,3,4,5,6,7,9],[8]]=>[8,1]
[2,1,3,4,5,6,9,7,8]=>[2,9,1,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,7]
[1,2,3,4,5,6,9,7,8,10]=>[1,9,2,3,4,5,6,7,8,10]=>[[1,2,3,4,5,6,7,8,10],[9]]=>[9,1]
[1,2,3,4,5,7,8,6,9]=>[7,1,2,3,4,5,8,6,9]=>[[1,2,3,4,5,6,9],[7,8]]=>[7,2]
[3,2,5,1,4,8,6,7]=>[3,8,2,1,5,4,6,7]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[2,1,3,4,5,6,7,10,8,9]=>[2,10,1,3,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2,10]]=>[2,8]
[3,2,5,6,8,4,7,1]=>[5,3,2,6,4,8,7,1]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[8,4,5,2,6,3,7,1]=>[4,5,6,8,2,3,7,1]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[5,3,2,4,7,8,1,6]=>[3,5,2,4,1,7,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[4,7,3,1,6,8,2,5]=>[4,3,1,7,6,2,8,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[4,2,7,6,8,1,3,5]=>[2,4,7,1,3,6,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[1,7,4,6,8,3,2,5]=>[4,7,1,3,6,8,2,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[1,3,7,8,6,5,2,4]=>[3,7,8,1,2,6,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[5,2,6,8,1,7,3,4]=>[2,5,6,1,8,3,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[4,7,2,5,6,3,1,8]=>[4,5,2,7,6,3,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[1,3,2,7,6,4,8,5]=>[7,6,8,3,1,2,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[5,4,1,3,7,8,2,6]=>[5,1,4,3,2,7,8,6]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[5,1,3,6,7,8,2,4]=>[1,5,3,2,6,7,8,4]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[6,1,5,8,3,7,2,4]=>[1,6,5,3,2,8,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[4,1,2,7,5,3,8,6]=>[7,8,4,1,5,2,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[1,2,4,7,5,3,8,6]=>[7,8,4,1,2,5,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[6,1,5,8,4,3,2,7]=>[6,5,1,8,4,3,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[6,1,3,7,2,4,8,5]=>[6,1,7,3,2,8,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[7,2,5,6,3,4,1,8]=>[2,5,3,7,6,4,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[2,3,7,8,5,1,6,4]=>[7,2,5,3,8,6,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[6,2,8,5,7,4,3,1]=>[6,8,5,2,7,4,3,1]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[4,1,7,6,2,3,8,5]=>[7,1,6,4,8,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[3,6,7,4,5,1,8,2]=>[3,6,4,7,5,8,1,2]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[10,2,3,4,5,6,7,8,1,9]=>[2,3,4,5,6,7,8,10,1,9]=>[[1,3,4,5,6,7,8,9],[2,10]]=>[2,8]
[5,8,6,3,4,1,2,7]=>[1,3,5,8,6,4,2,7]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[8,6,2,3,7,5,1,4]=>[2,6,3,8,7,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[8,7,9,1,2,3,4,5,6]=>[1,2,3,4,5,8,7,9,6]=>[[1,2,3,4,5,6,9],[7],[8]]=>[8,1]
[4,5,2,8,6,1,3,7]=>[2,4,8,5,1,6,3,7]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[3,4,8,2,5,6,1,7]=>[3,4,2,5,6,8,1,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[8,5,6,3,7,1,4,2]=>[3,5,6,8,7,1,4,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[6,8,2,7,5,3,1,4]=>[2,6,8,7,3,5,1,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[6,3,2,5,8,4,1,7]=>[6,3,5,2,4,8,1,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[3,5,7,1,6,4,8,2]=>[5,3,7,6,1,4,8,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[3,2,5,8,4,7,1,6]=>[5,3,2,4,1,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[8,5,1,2,4,6,3,7]=>[5,1,2,4,8,6,3,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[7,8,6,1,2,5,3,4]=>[1,7,2,3,8,6,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[4,6,1,3,8,2,7,5]=>[6,4,1,8,3,2,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[6,8,1,2,3,7,5,4]=>[6,8,1,2,7,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[7,3,1,8,4,6,2,5]=>[3,4,7,8,1,2,6,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[7,6,1,2,3,5,8,4]=>[7,1,2,3,6,5,8,4]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[8,6,1,2,3,5,7,4]=>[6,1,2,3,8,5,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[8,2,6,7,4,3,1,5]=>[2,6,8,4,7,3,1,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[7,5,1,2,6,3,8,4]=>[5,7,1,6,8,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[6,2,1,7,4,8,5,3]=>[6,7,8,4,2,1,5,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[3,1,7,6,2,8,5,4]=>[7,6,8,3,5,1,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[2,4,5,1,8,7,6,3]=>[8,7,4,2,5,6,1,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[6,8,7,3,1,5,2,4]=>[3,1,8,6,7,5,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[3,6,8,2,1,4,7,5]=>[6,3,2,8,1,7,4,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[3,5,4,8,6,7,2,1]=>[5,8,3,4,6,7,2,1]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[7,2,1,3,8,5,6,4]=>[7,2,8,1,5,3,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[5,4,6,2,7,8,3,1]=>[5,4,6,7,2,8,3,1]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,1,8,6,4,2,7,3]=>[5,8,6,4,7,1,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[3,7,1,8,2,4,6,5]=>[7,3,1,2,8,6,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[7,2,8,3,1,5,6,4]=>[7,2,3,8,5,1,6,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[6,2,1,8,5,7,4,3]=>[6,8,5,2,7,1,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>[2,4,2]
[2,6,3,8,5,7,4,1]=>[6,8,2,5,3,7,4,1]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[5,4,7,2,3,8,6,1]=>[7,2,5,4,8,3,6,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[6,5,7,8,1,3,4,2]=>[3,1,6,5,7,8,4,2]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[6,5,7,8,1,3,2,4]=>[1,6,3,5,7,8,2,4]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[6,4,7,2,8,3,1,5]=>[4,6,2,7,8,3,1,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[4,6,3,1,7,5,8,2]=>[6,4,7,3,5,1,8,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[5,7,4,3,1,2,8,6]=>[7,1,5,8,4,3,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[2,1,4,7,5,3,8,6]=>[7,8,4,2,1,5,3,6]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[4,7,3,6,5,2,8,1]=>[7,4,3,6,5,2,8,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[4,7,6,3,1,5,8,2]=>[4,7,3,6,5,1,8,2]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[2,4,7,3,8,5,1,6]=>[4,7,2,3,8,5,1,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[2,7,3,1,8,5,4,6]=>[5,7,8,2,3,1,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[2,5,3,1,7,4,8,6]=>[7,5,8,2,3,1,4,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[2,4,3,1,7,5,8,6]=>[7,8,4,2,3,1,5,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[2,7,3,8,6,5,1,4]=>[2,7,8,6,3,1,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[2,8,3,1,7,4,5,6]=>[2,3,8,1,7,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[6,7,5,2,1,4,8,3]=>[6,2,7,5,4,1,8,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[7,8,6,2,1,5,3,4]=>[2,7,1,8,6,5,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[7,8,6,3,2,5,1,4]=>[3,2,7,8,6,1,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[7,1,6,3,8,4,2,5]=>[1,7,6,8,3,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[6,7,4,8,5,3,1,2]=>[1,6,7,8,4,5,3,2]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[1,7,8,2,5,4,6,3]=>[7,1,8,2,5,4,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[1,6,2,5,3,7,8,4]=>[6,5,1,7,2,3,8,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[1,8,2,6,7,3,5,4]=>[8,1,6,2,3,7,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,3,6,8,4,7,2,5]=>[3,6,1,4,2,8,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[1,5,6,8,3,2,4,7]=>[1,5,6,3,2,8,4,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[1,8,2,7,3,5,6,4]=>[8,1,2,7,3,5,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[1,8,3,2,7,4,6,5]=>[8,3,7,1,6,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[1,6,8,7,2,4,3,5]=>[1,8,2,6,7,4,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[1,6,3,7,2,5,8,4]=>[6,3,7,1,2,5,8,4]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[1,3,6,5,4,8,2,7]=>[6,5,3,1,4,2,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[1,8,2,3,7,4,6,5]=>[8,1,7,2,3,6,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[1,7,2,3,8,4,6,5]=>[7,1,8,2,6,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[8,4,5,6,2,7,1,3]=>[2,4,5,6,8,1,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[3,7,5,2,6,1,8,4]=>[7,3,5,6,2,8,1,4]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[3,8,5,2,6,1,7,4]=>[5,3,8,6,2,7,1,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[3,7,4,8,5,2,6,1]=>[3,7,8,4,5,2,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[3,6,1,5,2,8,7,4]=>[8,6,3,5,1,7,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[8,1,2,6,5,3,4,7]=>[1,6,8,2,3,5,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[6,8,7,1,3,4,2,5]=>[3,1,4,8,6,7,2,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[3,6,1,5,2,7,8,4]=>[6,3,5,1,7,2,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[3,8,4,2,5,7,6,1]=>[8,3,4,7,2,5,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[8,1,2,6,3,5,7,4]=>[8,1,2,6,3,5,7,4]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[7,4,8,1,2,6,3,5]=>[4,1,2,7,8,3,6,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[6,2,8,4,7,1,3,5]=>[2,1,6,4,8,3,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[3,7,8,4,2,5,6,1]=>[3,4,7,2,8,5,6,1]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[3,6,1,5,2,8,4,7]=>[6,3,5,1,2,8,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[7,1,3,4,2,5,8,6]=>[7,3,1,4,8,2,5,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[7,1,3,4,2,5,6,8]=>[3,1,4,2,7,5,6,8]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[1,4,3,2,5,6,7,8,9]=>[4,3,1,2,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3],[4]]=>[4,5]
[1,8,4,3,7,6,2,5]=>[4,8,3,7,1,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[5,2,8,7,1,4,6,3]=>[5,2,8,4,1,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[2,7,8,5,1,4,6,3]=>[7,2,1,5,8,4,6,3]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[7,4,6,8,3,5,1,2]=>[1,4,3,7,6,8,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[2,7,8,1,3,6,4,5]=>[2,7,1,3,4,8,6,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[2,7,8,1,4,5,6,3]=>[4,2,1,5,7,8,6,3]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[3,6,7,8,2,4,1,5]=>[3,2,4,6,7,8,1,5]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[5,4,6,8,7,3,1,2]=>[1,8,5,4,6,7,3,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[4,5,8,6,7,1,3,2]=>[4,1,8,5,6,7,3,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[5,7,6,8,2,1,3,4]=>[2,1,7,5,6,8,3,4]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[3,7,6,8,2,4,1,5]=>[3,2,7,4,6,8,1,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[5,4,7,8,6,3,1,2]=>[1,7,5,4,8,6,3,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[4,5,6,8,7,3,1,2]=>[1,8,4,5,6,7,3,2]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[5,7,3,4,2,1,6,8]=>[3,5,4,7,2,1,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[7,1,6,4,5,3,8,2]=>[7,4,1,6,5,3,8,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[6,1,5,3,8,4,7,2]=>[6,5,3,1,8,4,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[4,1,8,6,7,2,5,3]=>[4,8,1,6,7,2,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[6,4,1,7,3,2,5,8]=>[4,6,3,7,1,2,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[4,6,7,1,2,5,3,8]=>[4,1,6,2,7,5,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[6,1,7,3,2,5,8,4]=>[6,3,7,5,1,2,8,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[1,4,6,7,8,2,5,3]=>[4,6,1,2,7,8,5,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[5,2,7,4,8,1,3,6]=>[2,5,1,7,4,3,8,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[8,3,1,2,5,6,4,7]=>[1,8,3,2,5,6,4,7]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[5,2,1,6,4,3,8,7]=>[8,5,6,4,2,1,3,7]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[5,2,8,3,4,7,1,6]=>[2,5,3,4,8,1,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[3,8,4,1,7,5,2,6]=>[3,8,4,7,5,1,2,6]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[6,2,7,4,8,3,1,5]=>[4,6,7,2,3,8,1,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[4,8,6,5,2,1,7,3]=>[6,8,4,5,7,2,1,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[1,6,8,2,5,7,3,4]=>[1,6,2,5,3,8,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[1,5,4,2,7,6,8,3]=>[7,5,4,6,1,2,8,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[6,8,2,7,5,1,4,3]=>[6,2,8,7,1,5,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[8,3,4,5,6,1,7,2]=>[3,4,5,6,8,7,1,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[5,4,6,2,7,3,1,8]=>[5,4,6,7,2,3,1,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[3,2,6,5,8,4,1,7]=>[6,5,3,2,4,8,1,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[4,2,6,5,8,7,1,3]=>[2,8,6,4,1,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[5,2,6,4,8,7,1,3]=>[2,8,5,6,1,4,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,2,7,5,8,6,1,3]=>[2,7,8,4,1,5,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[4,3,7,2,8,5,1,6]=>[4,7,3,2,8,5,1,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[5,3,7,6,8,2,1,4]=>[3,7,5,2,6,8,1,4]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[4,2,7,3,8,6,1,5]=>[4,7,2,8,3,1,6,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[3,2,7,6,8,4,1,5]=>[3,7,6,2,4,8,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[3,2,7,6,8,5,1,4]=>[3,7,6,2,1,8,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[6,2,7,5,8,4,1,3]=>[2,6,7,5,1,8,4,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[3,7,8,2,5,4,6,1]=>[3,7,2,5,8,4,6,1]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[4,7,5,8,3,2,6,1]=>[4,7,5,3,8,2,6,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[8,7,6,4,1,5,3,2]=>[4,8,7,6,5,3,1,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[4,2,5,3,7,8,6,1]=>[7,4,5,2,3,8,6,1]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[4,8,2,3,7,5,6,1]=>[2,8,4,3,5,7,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[7,5,6,2,3,8,4,1]=>[5,2,7,6,8,3,4,1]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[2,8,4,3,7,5,6,1]=>[4,8,2,7,3,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[3,8,5,7,6,4,2,1]=>[8,7,3,5,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[7,8,6,3,5,4,2,1]=>[7,3,8,6,5,4,2,1]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[2,7,6,3,8,5,4,1]=>[7,6,8,5,2,3,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[7,4,2,5,6,3,8,1]=>[4,7,2,5,6,3,8,1]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[6,2,7,5,3,8,4,1]=>[6,7,5,8,2,3,4,1]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[2,4,8,3,7,5,6,1]=>[4,8,2,3,5,7,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[6,2,5,8,3,7,4,1]=>[6,5,2,8,3,7,4,1]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[4,5,3,7,1,2,6,8]=>[1,4,5,3,2,7,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[6,4,7,3,1,2,5,8]=>[1,4,6,3,7,2,5,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[6,8,4,1,3,5,2,7]=>[4,1,6,3,8,5,2,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[8,5,3,6,1,4,2,7]=>[3,5,6,8,1,4,2,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[5,6,3,7,4,1,2,8]=>[1,5,6,7,3,4,2,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[5,2,6,7,4,1,3,8]=>[2,5,6,1,7,4,3,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[8,5,6,4,1,3,2,7]=>[5,1,6,8,4,3,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[7,8,5,1,4,3,2,6]=>[1,7,8,5,4,3,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[6,7,2,8,4,3,1,5]=>[4,6,7,8,2,3,1,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[8,5,3,6,2,1,4,7]=>[3,5,2,8,6,1,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[4,5,8,1,3,2,6,7]=>[4,1,5,3,2,8,6,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[6,5,4,7,2,8,1,3]=>[2,6,5,4,7,1,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[6,2,7,3,5,8,1,4]=>[2,3,6,7,1,5,8,4]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[4,7,1,3,8,6,5,2]=>[7,8,4,1,6,3,5,2]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[3,7,2,8,5,6,4,1]=>[7,3,8,2,5,6,4,1]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[3,1,5,8,6,4,7,2]=>[5,8,3,6,1,4,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[2,3,8,6,4,7,5,1]=>[6,8,7,2,3,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[4,6,1,7,8,3,2,5]=>[4,1,6,7,8,3,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[3,6,2,8,7,4,5,1]=>[3,8,6,2,7,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[2,5,6,1,8,7,3,4]=>[2,8,5,1,6,7,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[2,3,8,6,7,4,5,1]=>[2,8,3,6,4,7,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[2,3,8,7,4,6,5,1]=>[8,2,7,6,3,4,5,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[2,3,8,5,7,4,6,1]=>[2,8,5,3,4,7,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[2,3,8,7,6,4,5,1]=>[2,8,7,6,3,4,5,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[8,5,6,3,1,4,2,7]=>[3,5,6,8,4,1,2,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[8,1,5,3,6,4,2,7]=>[5,8,1,6,3,4,2,7]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[1,3,8,5,6,2,4,7]=>[1,3,8,2,5,6,4,7]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[3,8,5,6,4,1,2,7]=>[1,3,8,5,6,4,2,7]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[5,7,8,3,4,6,2,1]=>[3,5,4,7,8,6,2,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[3,5,8,6,4,1,2,7]=>[1,5,8,3,6,4,2,7]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[1,3,5,8,6,2,4,7]=>[3,1,8,2,5,6,4,7]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[7,5,3,8,6,4,2,1]=>[7,8,5,6,3,4,2,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[5,1,3,8,6,4,2,7]=>[5,8,6,1,3,4,2,7]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[5,3,8,6,4,1,2,7]=>[1,5,8,6,3,4,2,7]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[1,5,8,6,3,4,2,7]=>[1,8,5,3,6,4,2,7]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[1,7,8,2,5,6,4,3]=>[7,5,1,2,8,6,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[7,8,3,6,4,1,2,5]=>[1,3,7,4,8,6,2,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[7,1,3,8,6,4,2,5]=>[1,7,8,6,3,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[3,1,7,8,4,2,6,5]=>[7,3,8,1,6,4,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[5,7,8,1,4,6,2,3]=>[1,5,2,4,7,8,6,3]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[1,3,7,8,4,2,6,5]=>[7,3,8,1,4,6,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[5,1,4,6,7,3,2,8]=>[5,4,1,6,7,3,2,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[7,2,4,1,6,5,3,8]=>[7,4,2,6,5,1,3,8]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[8,2,5,4,1,6,7,3]=>[5,2,8,4,6,1,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[8,1,7,5,4,2,6,3]=>[5,8,7,4,1,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[5,7,8,3,2,6,1,4]=>[3,5,2,7,8,1,6,4]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[2,3,4,5,6,9,8,7,1]=>[9,8,2,3,4,5,6,7,1]=>[[1,3,4,5,6,7],[2],[8],[9]]=>[2,7]
[2,3,4,5,6,7,10,9,8,1]=>[10,9,2,3,4,5,6,7,8,1]=>[[1,3,4,5,6,7,8],[2],[9],[10]]=>[2,8]
[6,7,4,3,8,2,1,5]=>[4,6,7,3,2,8,1,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[7,4,5,1,3,8,2,6]=>[4,1,5,7,3,2,8,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[8,4,5,1,3,7,6,2]=>[8,4,1,5,7,3,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[8,6,4,3,7,1,5,2]=>[4,6,8,3,7,1,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[8,6,5,7,3,1,4,2]=>[3,6,8,5,7,4,1,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[8,3,1,6,7,4,5,2]=>[3,8,4,1,6,7,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[6,8,7,5,4,2,3,1]=>[2,8,6,7,5,4,3,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[3,4,5,6,7,1,2,8,9]=>[1,3,4,5,6,7,2,8,9]=>[[1,2,4,5,6,7,8,9],[3]]=>[3,6]
[7,2,3,5,1,6,8,4]=>[5,2,3,7,6,1,8,4]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[1,4,6,3,7,8,5,2]=>[6,4,7,1,3,8,5,2]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[3,1,6,5,7,8,4,2]=>[6,5,3,7,1,8,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[4,7,6,8,1,3,5,2]=>[4,1,7,3,6,8,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[3,7,2,5,1,6,8,4]=>[5,3,2,7,6,1,8,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[1,7,2,5,6,8,4,3]=>[7,5,1,2,6,8,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[3,2,1,5,8,4,7,6]=>[8,5,3,2,1,4,7,6]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[2,1,6,5,8,4,3,7]=>[6,5,2,8,1,4,3,7]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[7,4,1,8,5,6,3,2]=>[4,7,8,5,6,1,3,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[3,8,2,4,5,7,1,6]=>[3,2,4,5,1,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[6,3,2,4,1,8,5,7]=>[6,3,2,8,4,1,5,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[7,1,5,4,2,3,6,8]=>[1,5,7,2,4,3,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[7,4,5,1,3,6,2,8]=>[4,1,5,7,3,6,2,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[2,1,8,7,3,6,5,4]=>[8,7,2,6,5,1,3,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[5,8,2,7,1,3,6,4]=>[5,2,8,1,3,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[6,3,4,2,1,8,7,5]=>[8,6,3,7,4,2,1,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[6,2,1,5,4,3,8,7]=>[8,6,5,2,4,1,3,7]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[6,1,4,5,3,8,2,7]=>[4,6,1,5,3,2,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[1,4,2,5,6,8,7,3]=>[8,4,5,1,2,6,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[1,4,6,5,7,2,8,3]=>[6,4,5,1,7,8,2,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[5,3,1,6,8,7,2,4]=>[3,8,5,1,6,2,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[6,2,1,7,4,3,5,8]=>[4,6,7,2,1,3,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[1,8,6,2,4,3,5,7]=>[1,4,8,6,2,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[2,3,4,7,5,8,6,1]=>[7,8,2,3,4,5,6,1]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[1,8,2,4,7,3,5,6]=>[1,2,8,4,3,5,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[6,5,2,8,7,4,3,1]=>[8,6,5,7,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[6,5,2,8,1,4,7,3]=>[6,2,5,4,1,8,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[5,1,8,6,4,3,7,2]=>[5,8,6,4,3,1,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[5,8,6,1,3,2,7,4]=>[8,1,5,6,7,3,2,4]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[1,7,6,3,8,2,5,4]=>[7,3,6,8,1,2,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[8,2,6,3,7,5,1,4]=>[2,8,3,6,7,1,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[6,1,3,7,8,4,5,2]=>[6,1,3,7,4,8,5,2]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[8,6,7,2,5,3,1,4]=>[2,6,3,8,7,5,1,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[1,6,2,7,8,4,5,3]=>[6,1,7,4,2,8,5,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[8,6,2,7,5,4,1,3]=>[2,6,8,7,5,1,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[1,6,8,2,7,5,3,4]=>[1,6,8,7,2,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[5,7,3,1,2,8,6,4]=>[7,5,1,8,6,3,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[5,1,7,4,3,8,6,2]=>[7,5,8,4,3,1,6,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[1,7,8,6,4,2,3,5]=>[1,2,7,8,6,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[7,2,8,6,4,1,3,5]=>[2,1,7,8,6,4,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[1,5,3,7,4,2,6,8]=>[5,3,7,1,4,2,6,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[7,4,3,6,2,5,1,8]=>[4,3,7,2,6,5,1,8]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[1,2,7,4,3,8,6,5]=>[7,8,6,4,1,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[1,7,6,3,5,2,4,8]=>[1,7,3,6,2,5,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[1,5,4,7,3,2,8,6]=>[7,5,4,8,1,3,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[1,2,7,4,3,6,5,8]=>[7,4,6,1,2,3,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[1,5,4,2,3,8,7,6]=>[8,7,1,5,4,2,3,6]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[1,5,3,2,4,6,7,8]=>[3,5,1,2,4,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[1,2,7,5,3,6,8,4]=>[5,7,6,1,2,3,8,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[1,2,7,6,3,5,8,4]=>[7,1,6,5,2,3,8,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[4,3,7,2,8,1,6,5]=>[7,4,3,2,8,1,6,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[3,2,7,5,6,1,8,4]=>[7,3,5,2,6,8,1,4]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[7,5,6,1,3,2,8,4]=>[5,7,1,6,8,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[7,4,5,1,6,3,8,2]=>[4,5,7,6,3,1,8,2]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[4,2,7,6,8,3,5,1]=>[4,7,2,6,3,8,5,1]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[3,2,6,4,8,5,7,1]=>[6,3,8,2,4,5,7,1]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[4,2,8,3,6,5,7,1]=>[4,8,2,6,3,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[6,2,8,5,7,1,4,3]=>[6,2,8,1,5,7,4,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[5,3,4,1,6,2,8,7]=>[8,3,5,4,6,1,2,7]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[7,3,6,1,8,2,5,4]=>[7,3,1,6,8,5,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[5,8,4,1,2,6,3,7]=>[5,1,4,6,8,2,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[6,4,7,1,2,8,3,5]=>[1,6,4,2,7,8,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[8,3,4,5,1,6,2,7]=>[3,4,5,6,8,1,2,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[8,3,6,5,4,1,2,7]=>[1,6,8,3,5,4,2,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[8,2,1,5,3,4,6,7]=>[2,1,5,8,3,4,6,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[2,7,8,5,4,3,6,1]=>[5,7,8,2,4,3,6,1]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[3,8,2,6,4,7,5,1]=>[8,3,6,2,7,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[1,2,5,7,4,8,3,6]=>[5,1,7,2,4,3,8,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[8,3,6,7,4,5,2,1]=>[3,6,4,8,7,5,2,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[6,8,5,3,1,4,7,2]=>[3,6,5,8,4,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[6,1,4,7,3,5,8,2]=>[6,1,4,3,7,5,8,2]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[5,8,6,2,7,3,4,1]=>[2,5,8,6,7,3,4,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[7,1,4,2,3,8,6,5]=>[7,8,1,6,2,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[6,2,4,7,8,3,5,1]=>[2,6,4,3,7,8,5,1]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[1,7,2,6,5,3,8,4]=>[7,6,5,1,8,2,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[4,2,6,7,1,8,5,3]=>[6,4,7,2,8,5,1,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[2,7,1,6,3,8,5,4]=>[7,6,8,2,1,5,3,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[3,7,5,6,8,1,2,4]=>[1,3,2,7,5,6,8,4]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[1,6,2,4,5,7,8,3]=>[6,1,2,4,5,7,8,3]=>[[1,2,3,5,7,8],[4],[6]]=>[4,2,2]
[7,1,6,4,2,5,8,3]=>[7,1,6,4,5,2,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[8,1,6,4,5,3,7,2]=>[8,1,4,6,5,3,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[8,6,7,5,1,3,4,2]=>[3,1,6,8,7,5,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[6,2,5,8,1,7,4,3]=>[6,5,2,8,7,1,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>[2,4,2]
[6,7,5,2,4,3,1,8]=>[6,2,7,5,4,3,1,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[4,3,8,6,7,5,2,1]=>[8,4,6,3,7,5,2,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[3,6,5,2,4,1,7,8]=>[3,6,2,5,4,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[8,6,5,2,4,3,1,7]=>[2,8,6,5,4,3,1,7]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[7,5,2,4,3,1,8,6]=>[7,8,2,5,4,3,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[3,8,7,5,2,4,1,6]=>[3,2,8,7,5,4,1,6]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[3,7,4,1,6,2,5,8]=>[3,4,7,1,6,2,5,8]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[3,6,2,5,1,7,4,8]=>[6,3,2,5,7,1,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[7,6,1,8,5,2,4,3]=>[7,1,6,8,5,4,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[4,6,7,2,5,1,8,3]=>[4,6,2,7,5,8,1,3]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[3,8,5,2,4,7,1,6]=>[3,2,5,8,4,1,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[3,4,2,8,7,1,5,6]=>[3,4,8,2,1,5,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[7,3,6,8,1,4,5,2]=>[3,4,1,7,6,8,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[3,4,6,7,2,1,8,5]=>[6,3,4,7,8,2,1,5]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[7,1,4,2,5,8,6,3]=>[7,8,1,4,5,2,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[7,8,5,1,2,4,3,6]=>[1,7,2,5,8,4,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[5,2,3,8,7,4,1,6]=>[5,8,2,3,7,4,1,6]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[6,5,8,2,1,4,3,7]=>[6,2,5,4,8,1,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[5,7,6,3,1,2,4,8]=>[1,3,7,5,6,2,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[4,6,7,8,2,1,3,5]=>[2,4,1,6,7,8,3,5]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[8,6,3,2,1,7,5,4]=>[6,8,7,5,3,2,1,4]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[8,6,4,2,9,7,5,3,1]=>[8,9,6,7,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>[2,2,2,2,1]
[6,2,7,3,8,4,9,5,1]=>[6,7,8,9,2,3,4,5,1]=>[[1,3,4,5],[2,7,8,9],[6]]=>[2,4,3]
[4,5,6,7,8,2,9,3,1]=>[4,5,6,7,8,9,2,3,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>[2,2,5]
[5,6,1,7,2,8,3,9,4]=>[5,6,7,8,9,1,2,3,4]=>[[1,2,3,4,9],[5,6,7,8]]=>[5,4]
[4,5,6,7,1,8,2,9,3]=>[4,5,6,7,8,9,1,2,3]=>[[1,2,3,7,8,9],[4,5,6]]=>[4,5]
[8,5,2,9,6,3,10,7,4,1]=>[8,9,10,5,6,7,2,3,4,1]=>[[1,3,4],[2,6,7],[5,9,10],[8]]=>[2,3,3,2]
[4,5,6,7,8,9,2,10,3,1]=>[4,5,6,7,8,9,10,2,3,1]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>[2,2,6]
[5,6,7,1,8,2,9,3,10,4]=>[5,6,7,8,9,10,1,2,3,4]=>[[1,2,3,4,9,10],[5,6,7,8]]=>[5,5]
[4,5,6,7,8,1,9,2,10,3]=>[4,5,6,7,8,9,10,1,2,3]=>[[1,2,3,7,8,9,10],[4,5,6]]=>[4,6]
[6,7,3,5,8,4,1,2]=>[1,6,3,7,5,8,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[7,5,8,2,3,1,6,4]=>[5,2,7,8,3,6,1,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[6,8,1,4,3,2,5,7]=>[1,6,4,8,3,2,5,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[6,1,3,4,2,5,8,7]=>[8,3,1,4,6,2,5,7]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[8,6,3,4,2,1,7,5]=>[6,3,8,7,4,2,1,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[3,7,1,8,5,2,6,4]=>[7,3,5,8,6,1,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[5,7,1,3,8,4,2,6]=>[5,1,7,3,8,4,2,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[2,6,1,4,3,7,8,5]=>[6,7,2,1,4,3,8,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[1,6,2,4,3,5,8,7]=>[8,1,6,4,2,3,5,7]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[1,8,5,7,6,3,4,2]=>[8,1,7,3,5,6,4,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[5,3,7,6,1,8,4,2]=>[7,5,6,3,8,4,1,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[5,1,7,6,3,8,4,2]=>[7,5,6,8,3,1,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[7,3,5,6,1,8,4,2]=>[5,3,7,6,8,4,1,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[1,6,3,7,8,5,4,2]=>[6,7,8,3,1,5,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[1,7,8,6,3,5,4,2]=>[7,8,1,6,3,5,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[3,7,5,6,1,8,4,2]=>[7,3,5,6,8,4,1,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[7,2,1,8,5,4,3,6]=>[5,7,8,4,2,1,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[2,7,3,4,6,8,1,5]=>[2,3,4,7,1,6,8,5]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[5,6,8,2,3,7,4,1]=>[5,2,6,8,3,7,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[3,1,7,6,8,5,2,4]=>[3,7,6,1,8,2,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[2,7,1,8,6,4,3,5]=>[2,7,8,6,4,1,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[5,6,8,1,7,3,4,2]=>[5,1,6,8,3,7,4,2]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[8,3,1,5,7,4,6,2]=>[3,8,5,1,4,7,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[8,1,3,4,7,5,6,2]=>[8,1,3,4,5,7,6,2]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[1,4,5,7,8,6,2,3]=>[1,7,4,2,5,8,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[2,4,5,8,6,7,3,1]=>[8,2,4,5,6,7,3,1]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[5,3,7,4,6,1,2,8]=>[1,5,3,7,4,6,2,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[7,3,5,4,1,2,6,8]=>[1,3,7,5,4,2,6,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[5,7,6,1,3,2,4,8]=>[1,7,3,5,6,2,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[7,8,5,1,3,2,4,6]=>[1,3,7,5,8,2,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[7,8,3,1,5,4,2,6]=>[3,7,5,8,4,1,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[7,3,8,5,1,4,6,2]=>[3,7,1,8,5,4,6,2]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[7,1,3,8,2,5,4,6]=>[1,7,3,8,2,5,4,6]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[5,7,6,8,3,1,4,2]=>[3,7,5,6,8,4,1,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[5,7,6,1,3,8,2,4]=>[1,7,3,5,6,2,8,4]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[3,7,5,4,8,6,1,2]=>[1,7,8,5,3,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[5,1,3,7,6,2,4,8]=>[1,7,5,3,2,6,4,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[7,1,6,8,2,3,5,4]=>[7,1,2,6,3,8,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[3,8,1,4,7,6,2,5]=>[3,8,4,1,2,7,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[4,7,8,5,1,3,2,6]=>[1,7,4,5,8,3,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[4,2,1,8,7,5,3,6]=>[4,8,7,5,2,1,3,6]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[5,1,4,8,2,3,6,7]=>[1,5,2,4,3,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[5,3,2,4,8,1,7,6]=>[8,3,5,2,4,1,7,6]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[8,2,5,7,4,1,6,3]=>[5,4,2,8,7,6,1,3]=>[[1,3],[2,6],[4,7],[5,8]]=>[2,3,3]
[8,7,5,1,6,3,4,2]=>[5,1,8,7,6,3,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[7,4,1,3,6,5,8,2]=>[7,4,1,6,3,5,8,2]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[4,2,8,5,3,1,6,7]=>[4,5,8,2,3,1,6,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[6,8,5,3,2,7,1,4]=>[3,6,5,8,2,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[8,3,7,2,6,5,1,4]=>[3,8,2,1,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[8,2,4,5,6,7,1,3]=>[2,1,4,5,6,8,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[3,4,6,5,1,7,2,8]=>[6,3,4,5,7,1,2,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[3,5,1,4,7,2,8,6]=>[7,3,5,1,4,8,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[5,1,4,8,7,3,2,6]=>[5,8,4,1,3,7,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[7,1,4,8,5,3,2,6]=>[4,7,8,1,5,3,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[3,8,2,6,7,1,5,4]=>[6,3,2,1,8,7,5,4]=>[[1,4],[2,5],[3,7],[6,8]]=>[3,3,2]
[6,1,3,4,5,2,8,7]=>[8,3,1,4,6,5,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[6,1,3,4,2,7,8,5]=>[6,3,1,7,4,2,8,5]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[6,1,3,4,8,2,7,5]=>[6,3,1,8,4,2,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[6,5,2,3,7,8,1,4]=>[2,3,6,5,1,7,8,4]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[1,5,3,8,4,2,7,6]=>[8,5,3,7,1,4,2,6]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[7,4,2,6,3,8,1,5]=>[4,2,7,6,3,1,8,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[7,4,8,2,3,5,1,6]=>[2,4,3,7,5,8,1,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[8,4,5,2,7,3,1,6]=>[4,5,2,8,7,3,1,6]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[8,1,7,3,2,5,6,4]=>[8,1,3,7,5,2,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[8,6,5,2,7,3,1,4]=>[2,6,8,5,7,3,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[3,8,5,1,4,6,7,2]=>[3,5,1,8,4,6,7,2]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[3,7,5,6,2,8,1,4]=>[3,2,7,5,6,1,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[8,4,5,7,2,3,1,6]=>[2,4,5,3,8,7,1,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[1,5,6,8,3,2,7,4]=>[5,6,8,1,3,7,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[3,1,6,7,2,5,8,4]=>[6,3,1,7,2,5,8,4]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[1,5,2,8,3,6,7,4]=>[5,8,1,2,6,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[2,3,4,5,9,6,7,8,1]=>[2,3,9,4,5,6,7,8,1]=>[[1,3,4,5,6,7,8],[2],[9]]=>[2,7]
[2,3,4,9,5,6,7,8,1]=>[2,3,4,9,5,6,7,8,1]=>[[1,3,4,5,6,7,8],[2],[9]]=>[2,7]
[2,3,9,4,5,6,7,8,1]=>[2,3,4,5,9,6,7,8,1]=>[[1,3,4,5,6,7,8],[2],[9]]=>[2,7]
[2,3,4,5,6,7,10,8,9,1]=>[2,10,3,4,5,6,7,8,9,1]=>[[1,3,4,5,6,7,8,9],[2],[10]]=>[2,8]
[2,3,4,5,6,10,7,8,9,1]=>[2,3,10,4,5,6,7,8,9,1]=>[[1,3,4,5,6,7,8,9],[2],[10]]=>[2,8]
[2,3,4,10,5,6,7,8,9,1]=>[2,3,4,5,10,6,7,8,9,1]=>[[1,3,4,5,6,7,8,9],[2],[10]]=>[2,8]
[2,3,10,4,5,6,7,8,9,1]=>[2,3,4,5,6,10,7,8,9,1]=>[[1,3,4,5,6,7,8,9],[2],[10]]=>[2,8]
[1,4,8,5,3,6,7,2]=>[4,8,1,5,3,6,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[4,5,1,2,7,8,6,3]=>[7,4,1,5,8,2,6,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[4,6,7,5,1,2,8,3]=>[6,1,4,7,5,8,2,3]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[7,2,8,1,4,5,3,6]=>[2,7,1,4,5,8,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[2,8,4,6,3,1,5,7]=>[2,4,8,3,6,1,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[8,2,6,3,5,1,4,7]=>[2,3,1,8,6,5,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[3,8,4,1,7,2,5,6]=>[3,4,1,8,2,7,5,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[8,5,1,3,6,7,2,4]=>[1,5,3,2,8,6,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[7,8,6,2,4,1,3,5]=>[2,1,4,7,8,6,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[5,6,1,3,7,2,8,4]=>[5,6,1,7,3,8,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[3,7,8,6,4,1,2,5]=>[1,3,7,8,4,6,2,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[5,7,8,1,6,4,2,3]=>[1,5,7,8,2,6,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[3,7,8,1,6,4,2,5]=>[3,7,1,8,4,6,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[1,7,8,6,3,4,2,5]=>[1,7,3,8,4,6,2,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[3,7,5,8,6,4,2,1]=>[7,8,5,3,6,4,2,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,7,3,8,6,4,2,5]=>[3,7,8,6,1,4,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[5,7,1,8,6,4,2,3]=>[1,7,5,8,6,4,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[7,8,1,5,6,4,2,3]=>[1,5,7,2,8,6,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[7,1,5,8,6,4,2,3]=>[1,7,8,5,2,6,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[5,3,7,8,6,4,2,1]=>[7,5,8,3,6,4,2,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,3,1,5,6,4,2,7]=>[3,8,5,1,6,4,2,7]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[1,8,3,5,6,4,2,7]=>[3,8,1,5,6,4,2,7]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[1,5,7,8,6,4,2,3]=>[1,7,5,8,2,6,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[1,8,2,6,5,3,4,7]=>[1,6,8,2,5,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[8,6,1,5,2,3,4,7]=>[1,2,3,8,6,5,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[7,6,1,2,3,8,4,5]=>[1,7,2,3,6,8,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[7,5,2,3,1,8,4,6]=>[2,7,5,3,8,1,4,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[8,1,3,5,6,7,2,4]=>[3,1,2,5,6,8,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[8,1,2,5,3,4,7,6]=>[8,1,2,7,3,5,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[8,1,5,6,4,2,7,3]=>[5,8,1,6,4,7,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[5,2,7,3,4,8,1,6]=>[2,5,3,7,4,1,8,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[8,6,4,7,3,5,2,1]=>[4,6,8,3,7,5,2,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[2,5,8,3,6,4,1,7]=>[5,2,8,3,6,4,1,7]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[7,4,2,1,5,3,8,6]=>[7,4,8,5,2,1,3,6]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[3,6,8,7,1,2,4,5]=>[1,3,2,8,4,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[3,2,7,1,5,6,4,8]=>[5,3,2,1,7,6,4,8]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[4,8,7,1,6,5,2,3]=>[1,8,4,7,6,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[2,7,5,4,1,3,6,8]=>[2,5,7,1,4,3,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[2,7,4,6,5,1,8,3]=>[7,6,2,4,5,8,1,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[6,7,3,1,2,8,5,4]=>[6,7,1,8,5,3,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[6,8,7,5,2,1,4,3]=>[8,2,6,7,5,4,1,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[7,8,2,6,3,1,4,5]=>[2,3,7,1,8,6,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[2,8,6,3,5,1,4,7]=>[2,3,6,8,1,5,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[8,7,2,6,4,3,1,5]=>[2,8,7,4,6,3,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[1,2,8,6,4,5,3,7]=>[1,8,6,4,2,5,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[1,4,6,8,5,3,2,7]=>[6,4,1,8,5,3,2,7]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[1,4,7,8,5,6,3,2]=>[7,4,1,5,8,6,3,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[1,2,5,8,6,4,7,3]=>[5,8,6,1,2,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[1,8,6,7,2,3,5,4]=>[8,1,2,6,3,7,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,6,4,8,5,7,3,2]=>[6,8,4,1,5,7,3,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[1,7,3,2,6,8,5,4]=>[7,6,3,8,1,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[1,7,3,6,4,2,5,8]=>[1,7,6,3,4,2,5,8]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[1,6,8,5,4,2,3,7]=>[1,6,5,8,2,4,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[1,6,3,2,4,5,8,7]=>[8,3,1,6,2,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[1,7,4,5,8,6,2,3]=>[1,7,8,2,4,5,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[1,3,6,7,2,8,5,4]=>[6,7,3,1,8,5,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[1,3,8,5,2,4,7,6]=>[8,3,1,7,2,5,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[3,6,1,4,5,7,8,2]=>[3,4,1,6,5,7,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[1,8,4,7,2,3,6,5]=>[8,1,2,7,4,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[5,7,8,2,4,6,1,3]=>[2,1,5,4,7,8,6,3]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[5,4,2,3,6,8,1,7]=>[2,5,4,3,6,1,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[8,7,2,4,1,3,6,5]=>[8,2,1,4,7,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[8,2,3,1,7,4,5,6]=>[2,3,8,1,4,7,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[4,8,1,2,6,5,7,3]=>[8,1,4,6,2,5,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[4,1,2,5,7,6,8,3]=>[7,4,1,5,2,6,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[1,8,5,2,3,4,7,6]=>[8,1,2,5,7,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[1,2,3,8,4,5,6,9,7]=>[8,1,2,9,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[1,5,8,2,3,4,7,6]=>[8,1,2,5,3,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[1,2,7,8,4,5,6,3]=>[7,1,2,4,5,8,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[1,2,3,4,5,6,9,7,10,8]=>[9,10,1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,1]
[7,9,1,2,3,4,5,8,6]=>[7,1,2,3,4,9,5,8,6]=>[[1,2,3,4,5,6],[7,8],[9]]=>[7,2]
[4,3,8,7,6,2,5,1]=>[4,8,7,3,2,6,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[5,4,8,2,7,6,3,1]=>[8,5,4,7,2,6,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[2,3,6,4,1,7,5,8]=>[6,7,2,3,4,1,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[4,6,5,2,1,7,8,3]=>[6,4,5,7,2,1,8,3]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[4,1,5,7,6,8,3,2]=>[7,4,5,6,1,8,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[3,5,6,2,1,4,7,8]=>[3,2,5,6,1,4,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[4,3,6,5,2,8,1,7]=>[6,4,3,5,2,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[1,2,3,4,5,7,6,8,9,10]=>[7,1,2,3,4,5,6,8,9,10]=>[[1,2,3,4,5,6,8,9,10],[7]]=>[7,3]
[1,2,3,5,4,6,7,8,9,10]=>[5,1,2,3,4,6,7,8,9,10]=>[[1,2,3,4,6,7,8,9,10],[5]]=>[5,5]
[1,3,2,4,5,6,7,8,9,10,11,12]=>[3,1,2,4,5,6,7,8,9,10,11,12]=>[[1,2,4,5,6,7,8,9,10,11,12],[3]]=>[3,9]
[5,8,1,4,2,3,6,7]=>[1,5,2,4,3,8,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[4,5,8,2,3,1,6,7]=>[2,4,5,3,1,8,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[3,5,4,8,1,7,2,6]=>[5,3,4,1,8,2,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[3,5,1,8,6,4,7,2]=>[5,8,3,6,4,1,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[4,7,2,8,3,1,6,5]=>[7,4,2,8,6,3,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[1,2,5,6,8,3,7,4]=>[5,6,1,2,8,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[5,3,8,4,6,2,7,1]=>[5,3,4,8,6,2,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[7,4,8,1,5,2,6,3]=>[4,7,1,8,5,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[8,3,2,1,6,5,7,4]=>[8,3,6,5,2,1,7,4]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[4,1,5,6,8,7,2,3]=>[1,8,4,5,2,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[1,5,6,8,4,7,2,3]=>[1,5,6,2,4,8,7,3]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[5,6,8,1,2,4,7,3]=>[5,1,2,6,4,8,7,3]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[6,8,1,4,5,7,2,3]=>[1,4,2,6,5,8,7,3]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[4,3,5,1,8,6,7,2]=>[4,8,3,5,6,1,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[1,3,5,6,8,4,7,2]=>[5,3,1,6,4,8,7,2]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[5,6,8,2,3,4,7,1]=>[2,3,5,6,4,8,7,1]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[5,8,7,2,1,3,6,4]=>[5,2,8,7,1,6,3,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[6,1,5,3,4,8,7,2]=>[8,6,1,3,5,4,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[5,8,6,3,2,1,4,7]=>[3,5,8,6,2,1,4,7]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[8,7,1,6,3,5,4,2]=>[8,7,1,3,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[3,2,1,7,8,6,4,5]=>[3,7,8,2,1,4,6,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[1,5,6,4,2,8,7,3]=>[8,5,6,4,1,7,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[7,5,1,4,8,2,3,6]=>[1,2,7,5,4,3,8,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[8,4,3,1,7,5,6,2]=>[4,8,3,7,5,1,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[6,1,7,8,4,2,3,5]=>[1,2,6,7,8,4,3,5]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[7,8,1,6,3,4,5,2]=>[3,1,7,4,8,6,5,2]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[6,8,1,7,3,4,2,5]=>[1,6,3,8,4,7,2,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[1,5,6,7,8,9,2,3,4]=>[1,2,5,3,6,7,8,9,4]=>[[1,2,3,4,7,8,9],[5,6]]=>[5,4]
[3,4,2,1,5,6,7,8,9]=>[3,4,2,1,5,6,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,6]
[4,3,1,2,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3],[4]]=>[4,5]
[3,4,2,1,5,6,7,8,9,10]=>[3,4,2,1,5,6,7,8,9,10]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>[3,7]
[3,4,2,5,1,6,7,8,9]=>[3,4,2,5,1,6,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,6]
[4,6,5,3,8,2,7,1]=>[6,4,5,3,2,8,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[4,5,6,3,8,1,7,2]=>[4,5,6,3,8,1,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[7,8,6,3,5,2,4,1]=>[3,2,7,8,6,5,4,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[1,8,2,4,5,7,3,6]=>[4,1,2,5,8,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[6,2,4,5,7,3,1,8]=>[4,2,6,5,7,3,1,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[7,8,2,4,6,5,3,1]=>[7,4,2,8,6,5,3,1]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[6,1,7,4,5,3,2,8]=>[6,7,1,4,5,3,2,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[3,8,5,7,4,2,1,6]=>[3,8,5,4,7,2,1,6]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[5,3,1,2,6,7,4,8]=>[5,1,6,3,2,7,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[1,3,8,2,4,6,7,5]=>[6,3,1,2,4,8,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[6,1,7,3,4,2,5,8]=>[1,6,3,7,4,2,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[4,3,7,8,6,2,1,5]=>[4,7,3,2,8,6,1,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[3,8,5,4,7,2,6,1]=>[5,3,8,4,2,7,6,1]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[4,3,7,8,1,6,5,2]=>[7,4,3,8,1,6,5,2]=>[[1,2],[3,5],[4,6],[7,8]]=>[4,3,1]
[2,8,4,7,6,5,1,3]=>[2,8,7,1,6,4,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[2,8,7,1,5,6,4,3]=>[8,5,2,1,7,6,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[5,3,1,8,6,2,7,4]=>[5,8,6,3,7,1,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[7,1,6,8,2,5,3,4]=>[1,7,2,6,3,8,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[2,6,5,7,8,4,1,3]=>[2,6,5,1,7,8,4,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[1,6,5,7,4,2,3,8]=>[1,6,5,7,2,4,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[3,4,7,5,2,1,8,6]=>[7,8,3,4,5,2,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[3,4,7,2,5,6,8,1]=>[3,4,2,5,7,6,8,1]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[5,7,8,6,4,1,3,2]=>[7,1,5,8,6,4,3,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[6,8,7,3,2,4,5,1]=>[3,2,8,6,7,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[5,1,4,8,6,7,3,2]=>[8,5,1,4,6,7,3,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[2,7,4,1,3,8,5,6]=>[2,7,1,8,4,3,5,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[2,8,5,6,4,1,3,7]=>[2,1,8,5,6,4,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[2,7,6,3,8,5,1,4]=>[2,7,6,8,3,1,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[2,3,1,8,4,6,5,7]=>[2,8,6,3,1,4,5,7]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[2,3,1,8,4,6,7,5]=>[8,2,3,6,1,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[4,2,3,5,1,8,6,7]=>[2,8,4,3,5,1,6,7]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[5,8,7,2,6,4,1,3]=>[2,5,8,7,1,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[5,8,7,3,6,2,1,4]=>[3,5,8,2,7,6,1,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[6,8,5,1,7,4,3,2]=>[6,5,8,7,4,3,1,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[6,8,5,3,7,1,4,2]=>[3,6,5,8,7,1,4,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[7,5,8,2,6,4,1,3]=>[2,5,7,8,1,6,4,3]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[7,6,2,8,5,4,1,3]=>[2,7,6,8,5,1,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[6,5,4,2,8,1,7,3]=>[6,5,4,8,2,1,7,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[2,6,8,7,1,3,5,4]=>[8,2,1,6,3,7,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[5,3,8,7,6,2,1,4]=>[3,8,7,5,2,6,1,4]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[4,5,3,1,2,8,6,7]=>[1,8,4,5,3,2,6,7]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[2,4,5,3,1,8,6,7]=>[4,8,2,5,3,1,6,7]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[4,1,3,7,5,2,6,8]=>[4,7,1,3,5,2,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[7,5,4,1,3,2,6,8]=>[1,7,5,4,3,2,6,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[2,6,8,4,5,3,1,7]=>[6,2,4,5,8,3,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[5,2,3,7,4,1,6,8]=>[5,2,3,7,4,1,6,8]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[5,1,6,3,2,4,7,8]=>[3,5,6,1,2,4,7,8]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[5,1,6,2,4,3,7,8]=>[5,1,6,4,2,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[5,3,4,8,7,6,2,1]=>[8,7,3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[8,3,1,6,7,5,4,2]=>[8,6,3,7,1,5,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[8,4,6,5,7,2,3,1]=>[2,4,8,6,5,7,3,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[1,8,2,6,7,4,5,3]=>[8,1,4,2,6,7,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,2,5,3,6,7,4,1]=>[5,2,8,6,3,7,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[1,2,8,3,4,7,6,5]=>[8,7,1,2,6,3,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[6,8,5,2,7,1,3,4]=>[2,1,6,5,8,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[7,6,4,5,2,1,8,3]=>[4,7,6,5,8,2,1,3]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[7,3,8,5,4,2,1,6]=>[5,7,8,3,4,2,1,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[6,3,4,7,2,8,5,1]=>[6,3,7,4,8,2,5,1]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[6,8,4,3,1,5,2,7]=>[4,6,3,8,5,1,2,7]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[1,5,2,4,7,8,6,3]=>[7,5,1,4,2,8,6,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[5,2,7,4,3,8,6,1]=>[7,5,8,4,2,3,6,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[2,7,3,4,8,5,6,1]=>[2,7,3,8,4,5,6,1]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[7,3,5,2,6,8,1,4]=>[3,2,5,7,1,6,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[6,4,2,7,1,5,8,3]=>[4,6,7,2,1,5,8,3]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[4,2,5,3,6,7,8,1]=>[4,5,2,3,6,7,8,1]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[1,6,5,2,4,7,3,8]=>[6,1,5,4,2,7,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[1,8,7,2,4,6,3,5]=>[1,8,2,4,7,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[1,6,8,3,5,2,4,7]=>[1,6,3,2,5,8,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[1,7,6,2,3,5,8,4]=>[7,1,2,6,5,3,8,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,2,8,3,6,5,4,7]=>[6,8,1,5,2,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[1,3,8,6,5,2,4,7]=>[3,6,8,1,2,5,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[1,4,7,3,2,8,6,5]=>[7,8,4,6,1,3,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[1,6,8,4,3,2,5,7]=>[4,6,1,8,3,2,5,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[1,2,6,5,3,8,4,7]=>[6,5,1,8,2,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[1,7,3,2,8,4,6,5]=>[7,3,8,6,1,2,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[1,6,5,2,8,4,7,3]=>[6,5,8,1,4,2,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[5,4,2,8,7,6,1,3]=>[2,8,7,5,4,1,6,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[8,6,3,2,5,7,4,1]=>[6,3,8,5,2,7,4,1]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[7,3,2,6,1,5,8,4]=>[7,3,2,6,1,5,8,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[6,7,5,2,8,1,3,4]=>[2,1,6,7,5,3,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[6,2,1,7,5,8,4,3]=>[6,7,5,8,2,1,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[8,6,3,1,5,2,7,4]=>[6,3,8,5,7,1,2,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[1,6,4,8,5,3,7,2]=>[6,4,8,5,1,3,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[3,5,6,2,8,7,1,4]=>[3,8,2,5,6,1,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[5,2,8,6,1,3,7,4]=>[5,2,8,6,1,7,3,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[1,6,5,3,4,7,8,2]=>[6,1,5,3,4,7,8,2]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[4,2,6,7,8,1,3,5]=>[2,4,1,3,6,7,8,5]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[4,6,5,1,3,7,8,2]=>[6,1,4,5,3,7,8,2]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[5,1,8,3,6,2,7,4]=>[5,8,1,6,3,7,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[5,1,7,2,6,4,8,3]=>[5,7,6,1,4,2,8,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[7,4,5,2,6,3,8,1]=>[4,5,7,6,2,3,8,1]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[4,2,5,7,6,8,1,3]=>[2,7,4,1,5,6,8,3]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[4,1,7,6,2,5,8,3]=>[4,7,6,1,5,2,8,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[4,1,7,6,5,8,2,3]=>[1,7,6,4,5,2,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[6,5,4,1,3,7,8,2]=>[6,1,5,4,3,7,8,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[5,2,1,7,6,4,8,3]=>[7,5,6,4,2,1,8,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[4,2,3,6,7,8,1,5]=>[2,4,3,1,6,7,8,5]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[4,7,2,1,6,5,8,3]=>[7,4,6,2,5,1,8,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[2,7,6,4,1,5,8,3]=>[7,2,6,4,5,1,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[2,4,3,6,7,8,1,5]=>[4,2,3,1,6,7,8,5]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[6,8,5,2,7,3,1,4]=>[2,6,5,8,7,3,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[7,5,2,4,1,8,3,6]=>[2,7,5,4,1,8,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[8,4,2,6,1,7,3,5]=>[4,2,8,1,6,7,3,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[7,2,1,3,8,4,5,6]=>[2,1,7,3,8,4,5,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[4,8,1,7,3,2,6,5]=>[8,4,1,7,6,3,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[7,8,5,2,6,3,1,4]=>[2,5,7,8,6,3,1,4]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[4,7,1,6,3,8,2,5]=>[4,1,7,6,3,2,8,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[6,5,1,3,7,8,2,4]=>[1,6,3,5,2,7,8,4]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[7,2,1,4,3,5,8,6]=>[7,2,8,4,1,3,5,6]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[6,1,2,7,4,8,3,5]=>[1,6,7,4,2,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[7,1,2,5,4,3,8,6]=>[7,8,5,1,2,4,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[4,1,2,8,6,5,7,3]=>[6,8,4,1,5,2,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[4,1,2,6,8,7,3,5]=>[4,8,1,2,6,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[8,1,5,4,2,3,6,7]=>[1,5,2,8,4,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[7,1,2,4,6,3,8,5]=>[7,4,1,2,6,8,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[7,1,2,6,5,3,8,4]=>[7,6,5,1,2,8,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[6,1,7,5,8,2,3,4]=>[1,2,6,7,5,3,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[6,1,4,7,8,2,3,5]=>[1,2,6,4,3,7,8,5]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[8,1,2,3,7,5,4,6]=>[1,8,7,2,3,5,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[5,8,6,1,2,4,7,3]=>[5,1,2,8,6,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[1,6,8,7,5,3,4,2]=>[8,1,6,7,3,5,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[6,1,8,7,5,2,3,4]=>[1,2,8,6,7,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[8,3,1,2,4,6,5,7]=>[1,8,3,2,6,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[6,7,1,4,2,3,5,8]=>[1,2,6,4,7,3,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[6,7,8,5,1,2,4,3]=>[6,1,2,7,8,5,4,3]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[8,7,6,5,4,3,2,9,1,10]=>[8,7,6,5,4,3,2,9,1,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[8,2]
[9,2,3,4,5,6,1,7,8]=>[2,3,4,5,6,1,9,7,8]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,7]
[4,3,8,5,6,2,7,1]=>[4,3,8,5,6,2,7,1]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[4,3,8,6,7,2,5,1]=>[4,3,8,2,6,7,5,1]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[7,6,8,1,5,3,4,2]=>[7,1,3,6,8,5,4,2]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[7,4,6,1,5,3,8,2]=>[4,7,6,1,5,3,8,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[6,3,8,1,7,2,5,4]=>[6,3,8,1,7,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[6,1,5,4,8,2,7,3]=>[6,5,4,1,8,2,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[6,2,5,4,7,1,8,3]=>[6,5,2,4,7,8,1,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[2,6,3,4,8,7,5,1]=>[8,6,2,7,3,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[8,4,5,7,1,3,6,2]=>[4,1,5,3,8,7,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[8,1,3,4,6,7,5,2]=>[6,3,1,4,8,7,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[8,7,6,2,3,5,4,1]=>[8,2,3,7,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[8,2,1,6,5,7,4,3]=>[8,6,2,5,7,1,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[4,6,8,2,3,5,1,7]=>[2,4,3,6,5,8,1,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[3,5,1,6,4,8,2,7]=>[5,3,6,4,1,2,8,7]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[3,5,8,6,2,1,4,7]=>[3,2,8,5,6,1,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[4,8,2,5,6,1,3,7]=>[2,4,1,5,6,8,3,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[5,3,8,4,2,7,6,1]=>[8,5,3,7,4,2,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[2,8,5,3,1,4,7,6]=>[8,2,5,7,3,1,4,6]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[8,7,3,6,5,2,4,1]=>[3,8,2,7,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[3,1,2,8,6,5,7,4]=>[6,8,5,1,3,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[3,8,2,7,5,4,6,1]=>[3,8,7,2,5,4,6,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[8,7,1,4,5,3,6,2]=>[4,5,1,8,7,3,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[2,8,7,4,6,3,5,1]=>[2,8,4,7,3,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[2,8,7,4,6,3,1,5]=>[2,8,4,7,3,6,1,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[8,4,1,3,2,5,7,6]=>[8,1,4,7,3,2,5,6]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[7,3,8,6,2,1,4,5]=>[3,2,7,8,1,6,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[5,8,6,4,7,2,3,1]=>[2,5,8,6,4,7,3,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[6,7,5,2,4,8,3,1]=>[6,2,7,5,4,8,3,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[8,1,2,7,5,6,3,4]=>[1,8,2,5,3,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[8,2,7,3,4,6,1,5]=>[2,3,4,8,1,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,3,5,6,4,7,2,1]=>[5,3,6,8,4,7,2,1]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[6,5,8,1,3,4,2,7]=>[3,1,6,5,4,8,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[6,4,8,7,5,3,2,1]=>[8,6,7,4,5,3,2,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[6,7,1,4,3,2,8,5]=>[6,7,8,1,4,3,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[7,2,5,1,4,8,3,6]=>[2,7,1,5,4,3,8,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[5,8,1,3,4,2,7,6]=>[8,3,1,5,4,7,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[1,6,7,3,2,8,5,4]=>[6,7,8,5,1,3,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[3,2,7,6,8,4,5,1]=>[3,7,6,2,4,8,5,1]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[1,3,8,5,2,7,6,4]=>[8,7,3,5,1,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[6,4,1,5,2,8,7,3]=>[8,4,6,5,7,1,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[7,6,5,3,1,8,2,4]=>[3,7,6,5,1,8,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[2,6,1,5,7,4,8,3]=>[6,5,2,1,7,4,8,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[4,6,5,3,1,2,7,8]=>[1,6,4,5,3,2,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[4,2,6,5,1,3,7,8]=>[2,6,4,1,5,3,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[4,1,6,5,3,7,8,2]=>[6,4,5,3,1,7,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[3,6,5,7,2,1,4,8]=>[3,6,2,5,7,1,4,8]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[3,5,7,6,2,4,1,8]=>[3,7,2,5,6,4,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[5,4,2,6,3,7,1,8]=>[5,4,6,2,3,7,1,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[3,5,8,2,4,6,7,1]=>[3,2,5,4,6,8,7,1]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[5,3,1,8,2,4,6,7]=>[3,5,1,2,4,8,6,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[5,1,3,8,2,4,6,7]=>[1,5,3,2,4,6,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[1,5,8,4,2,3,6,7]=>[1,5,2,4,8,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[5,8,2,1,4,3,6,7]=>[5,2,4,1,8,3,6,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[5,8,2,4,1,6,7,3]=>[5,2,4,8,1,6,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[5,8,2,4,3,6,1,7]=>[5,2,4,3,8,6,1,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[5,8,1,4,6,2,3,7]=>[1,5,2,4,6,8,3,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[5,1,8,4,6,7,2,3]=>[1,5,4,2,8,6,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[5,8,2,4,6,3,7,1]=>[5,2,4,6,8,3,7,1]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[3,8,4,6,7,2,1,5]=>[3,4,2,8,6,7,1,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[3,8,4,6,7,2,5,1]=>[3,4,2,8,6,7,5,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[8,4,3,6,7,2,5,1]=>[4,3,2,8,6,7,5,1]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[1,8,6,4,5,7,2,3]=>[1,6,2,8,4,5,7,3]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[1,8,6,4,2,3,5,7]=>[1,4,6,8,2,3,5,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[3,8,1,6,2,4,5,7]=>[3,1,2,4,8,6,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[3,8,6,2,1,4,5,7]=>[3,2,1,8,6,4,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[3,8,6,2,4,1,5,7]=>[3,2,4,8,6,1,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[3,8,6,7,2,1,4,5]=>[3,2,1,8,6,7,4,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[8,2,6,4,5,1,7,3]=>[4,2,8,6,5,7,1,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[1,8,4,6,7,5,2,3]=>[1,8,4,2,6,7,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,4,7,2,1,3,6,5]=>[8,2,4,1,7,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[8,3,1,7,2,4,6,5]=>[8,3,1,2,7,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,2,1,4,7,3,6,5]=>[8,2,7,1,4,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[8,4,2,1,5,7,3,6]=>[4,2,8,5,1,3,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[3,2,1,7,4,5,8,6]=>[7,3,8,2,1,4,5,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[3,8,7,2,1,5,6,4]=>[8,3,2,7,1,5,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[2,6,8,5,1,7,4,3]=>[6,5,8,2,7,4,1,3]=>[[1,3],[2,4],[5,7],[6,8]]=>[2,4,2]
[3,2,6,8,1,4,7,5]=>[6,3,2,1,8,4,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[2,1,5,8,7,3,6,4]=>[5,8,7,2,1,3,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[4,2,1,6,7,3,8,5]=>[6,4,7,2,1,8,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[3,2,1,6,7,4,8,5]=>[6,7,3,2,1,8,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[4,3,1,7,8,5,2,6]=>[4,7,3,1,8,5,2,6]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[7,2,3,1,4,8,5,6]=>[2,7,3,1,8,4,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[3,5,8,6,4,1,7,2]=>[5,8,3,6,4,7,1,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[5,1,8,6,4,2,3,7]=>[1,5,8,6,4,2,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[2,8,5,3,6,4,7,1]=>[5,6,8,2,3,4,7,1]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[1,4,8,7,2,5,6,3]=>[4,8,1,5,2,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[2,8,3,7,1,4,6,5]=>[8,2,3,1,7,4,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[5,4,7,6,1,2,8,3]=>[7,1,5,4,6,8,2,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[2,8,7,3,5,4,6,1]=>[2,8,5,7,3,4,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[3,8,4,2,7,6,5,1]=>[8,7,3,6,4,2,5,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[1,2,8,7,3,6,4,5]=>[1,8,2,7,6,3,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[7,3,2,6,4,1,8,5]=>[7,6,3,8,2,4,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[2,4,3,7,1,5,6,8]=>[4,2,3,1,5,7,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[3,2,4,8,7,5,6,1]=>[3,8,7,2,4,5,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[2,6,8,1,5,3,4,7]=>[2,6,1,3,5,8,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[8,1,3,6,5,4,2,7]=>[6,8,3,1,5,4,2,7]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[7,4,3,6,2,1,8,5]=>[7,4,6,3,8,2,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[7,2,1,5,3,4,8,6]=>[7,2,8,1,5,3,4,6]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[5,7,2,3,1,4,8,6]=>[7,2,3,5,8,1,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[1,8,6,4,7,5,3,2]=>[6,8,7,4,5,1,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[7,4,1,5,8,6,3,2]=>[7,4,8,5,6,1,3,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[1,3,8,7,6,4,2,5]=>[3,8,7,6,1,4,2,5]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[2,8,5,1,7,4,6,3]=>[8,2,5,7,1,4,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[1,8,6,4,7,5,2,3]=>[1,6,8,7,4,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[2,7,4,6,3,8,5,1]=>[7,6,2,4,8,3,5,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[3,4,5,6,1,9,2,7,8]=>[3,4,5,6,1,2,9,7,8]=>[[1,2,5,6,7,8],[3,4,9]]=>[3,6]
[4,1,8,6,3,7,5,2]=>[8,4,6,7,3,1,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[1,7,5,4,8,2,3,6]=>[1,5,7,4,2,3,8,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[8,4,3,1,6,2,5,7]=>[4,3,1,8,6,2,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[7,5,4,3,8,1,6,2]=>[5,7,4,3,8,1,6,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[8,5,4,3,7,1,6,2]=>[5,4,8,3,7,1,6,2]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,3]
[5,2,1,7,8,3,6,4]=>[5,7,2,8,1,3,6,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[8,4,3,1,5,2,7,6]=>[8,4,3,7,5,1,2,6]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[6,5,4,2,7,3,8,1]=>[6,5,4,7,2,3,8,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[3,5,4,1,7,8,2,6]=>[5,3,4,1,7,2,8,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[7,5,4,3,1,6,8,2]=>[5,7,4,3,6,1,8,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[5,2,8,4,3,1,6,7]=>[5,4,2,8,3,1,6,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[5,2,7,4,3,6,8,1]=>[5,4,7,2,3,6,8,1]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[5,3,7,4,1,6,8,2]=>[5,3,7,4,6,1,8,2]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[3,1,5,7,8,4,6,2]=>[5,3,4,1,7,8,6,2]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[3,1,5,7,8,4,2,6]=>[5,3,1,7,4,8,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[6,2,3,7,4,8,5,1]=>[6,7,2,8,3,4,5,1]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[1,2,8,6,4,3,5,7]=>[4,6,8,1,2,3,5,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[6,1,3,7,4,5,2,8]=>[6,1,3,7,4,5,2,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[6,5,8,1,2,4,3,7]=>[6,1,2,5,4,8,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[2,6,1,8,5,3,4,7]=>[2,6,1,8,5,3,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[4,7,2,8,5,1,3,6]=>[2,4,7,1,8,5,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[4,5,7,8,1,6,3,2]=>[4,5,7,8,1,6,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[1,8,6,7,5,2,4,3]=>[8,1,6,7,2,5,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[2,4,1,5,8,6,7,3]=>[8,2,4,5,1,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[5,4,2,1,8,6,7,3]=>[5,8,4,6,2,1,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[4,7,5,8,1,6,2,3]=>[1,4,7,5,8,2,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[4,1,5,3,8,6,7,2]=>[4,8,5,3,1,6,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[7,4,2,8,3,6,1,5]=>[4,2,7,3,8,1,6,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[7,3,5,1,4,8,6,2]=>[7,3,8,1,5,4,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[7,1,3,2,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[8,5,4,6,1,7,2,3]=>[1,5,4,8,6,7,2,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[3,8,7,1,4,2,5,6]=>[3,1,4,8,7,2,5,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[5,1,7,8,2,4,3,6]=>[5,1,2,7,8,4,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[8,5,4,6,1,7,3,2]=>[5,4,8,6,7,3,1,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[5,3,2,8,4,1,7,6]=>[8,5,3,7,2,4,1,6]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[5,3,2,1,4,6,8,7]=>[8,3,5,2,1,4,6,7]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[5,3,2,4,8,6,1,7]=>[3,8,5,2,4,6,1,7]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[5,3,2,4,7,1,8,6]=>[7,3,5,2,4,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[4,7,8,6,3,2,5,1]=>[4,7,3,8,6,2,5,1]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[5,3,1,7,2,4,8,6]=>[7,3,5,1,8,2,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[8,4,5,3,7,1,2,6]=>[1,4,5,3,8,2,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[4,8,1,7,3,5,6,2]=>[4,3,1,8,5,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[5,1,2,8,4,7,3,6]=>[5,1,8,2,4,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[3,7,4,5,6,8,2,1]=>[3,4,7,5,6,8,2,1]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[4,6,8,3,7,1,5,2]=>[4,3,6,8,1,7,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[8,7,1,2,5,6,3,4]=>[1,5,2,3,8,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[8,6,1,5,2,7,3,4]=>[1,8,2,6,5,7,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,2,6,5,7,8,3,4]=>[1,6,5,2,3,7,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[8,5,2,4,3,7,6,1]=>[8,2,7,5,4,3,6,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[2,3,3]
[8,5,2,4,3,7,1,6]=>[2,5,8,4,3,1,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[8,5,1,4,3,2,7,6]=>[8,5,7,1,4,3,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[8,5,1,4,3,6,2,7]=>[1,8,5,4,3,6,2,7]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[1,2,6,4,8,3,5,7]=>[4,6,1,2,3,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[6,5,4,3,1,7,2,8]=>[6,5,4,3,7,1,2,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[3,6,7,2,5,1,8,4]=>[6,3,2,7,5,8,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[2,6,5,7,1,4,8,3]=>[6,2,5,1,7,4,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[3,5,1,7,8,4,6,2]=>[5,3,7,1,4,8,6,2]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[8,1,2,4,7,6,5,3]=>[8,7,4,1,2,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[6,7,4,2,5,8,3,1]=>[4,6,7,5,2,8,3,1]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[8,5,4,2,6,3,1,7]=>[5,4,8,6,2,3,1,7]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[8,5,2,1,6,4,3,7]=>[5,6,8,4,2,1,3,7]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[8,4,6,5,1,3,2,7]=>[1,8,4,6,5,3,2,7]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[1,3,8,4,7,5,2,6]=>[1,8,7,3,4,5,2,6]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[8,4,7,5,2,1,3,6]=>[2,4,8,5,7,1,3,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[3,8,6,4,7,2,1,5]=>[3,6,8,4,2,7,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[4,8,6,3,7,2,1,5]=>[4,3,8,6,2,7,1,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[2,8,3,1,7,6,4,5]=>[2,8,7,3,6,1,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[4,7,8,5,1,6,2,3]=>[1,4,7,5,8,6,2,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[4,5,2,1,6,7,8,3]=>[4,5,6,2,1,7,8,3]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[4,5,6,3,1,7,8,2]=>[4,5,6,3,7,1,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[3,5,6,7,4,1,8,2]=>[5,3,6,7,4,8,1,2]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[3,5,1,4,2,8,7,6]=>[8,7,3,5,1,4,2,6]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[3,5,1,4,2,6,7,8]=>[3,5,1,4,2,6,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[1,3,8,4,6,2,5,7]=>[1,3,8,4,2,6,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[1,4,7,5,6,2,3,8]=>[1,7,2,4,5,6,3,8]=>[[1,2,3,5,6,8],[4],[7]]=>[4,3,1]
[1,7,3,6,4,5,2,8]=>[7,1,3,6,4,5,2,8]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[1,8,4,2,3,7,5,6]=>[1,8,4,2,7,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[1,5,2,3,8,6,7,4]=>[8,1,5,6,2,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[1,4,8,3,2,7,6,5]=>[8,7,4,1,6,3,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[1,5,3,8,4,2,6,7]=>[5,3,1,8,4,2,6,7]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[1,8,2,4,7,5,3,6]=>[1,8,7,2,4,5,3,6]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[1,8,6,5,2,4,3,7]=>[1,8,6,5,4,2,3,7]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[1,2,8,6,7,5,4,3]=>[8,6,7,1,5,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[1,3,8,6,5,4,2,7]=>[6,8,5,3,1,4,2,7]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[1,7,5,4,3,2,6,8]=>[5,7,4,3,1,2,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[8,6,2,4,5,7,1,3]=>[2,1,4,6,8,5,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[3,8,7,4,5,2,6,1]=>[3,4,8,7,5,2,6,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[4,2,7,8,3,6,1,5]=>[4,2,3,7,1,8,6,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[4,2,5,7,8,6,3,1]=>[7,4,5,2,8,6,3,1]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[2,4,7,8,1,3,6,5]=>[7,2,1,4,3,8,6,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[2,7,3,8,6,1,5,4]=>[7,2,8,6,3,1,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[8,5,1,2,3,7,4,6]=>[5,1,2,3,8,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[6,2,1,3,8,5,4,7]=>[6,2,8,5,1,3,4,7]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[8,4,2,3,1,7,6,5]=>[8,7,2,4,6,3,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[8,5,3,4,1,2,7,6]=>[8,1,3,5,7,4,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[8,4,1,3,2,7,6,5]=>[8,7,1,6,4,3,2,5]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[6,3,5,2,8,7,1,4]=>[3,8,2,6,5,1,7,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[8,1,3,5,2,4,7,6]=>[8,3,1,2,5,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[5,8,3,1,2,7,4,6]=>[5,1,3,8,2,7,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[3,2,8,5,1,4,7,6]=>[8,3,2,7,1,5,4,6]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[8,3,4,2,1,7,6,5]=>[8,7,3,4,6,2,1,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[3,8,4,2,1,7,6,5]=>[8,7,3,6,4,2,1,5]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[8,4,3,7,5,1,2,6]=>[1,4,8,3,7,5,2,6]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[8,3,1,4,7,6,2,5]=>[3,8,1,7,4,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[1,4,6,8,2,5,7,3]=>[4,6,1,2,5,8,7,3]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[3,6,2,4,8,1,7,5]=>[6,3,2,8,4,1,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[1,5,2,6,8,3,7,4]=>[5,6,8,1,2,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[4,5,3,1,8,2,6,7]=>[4,5,3,1,2,8,6,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[3,5,8,1,4,6,2,7]=>[3,5,1,4,6,8,2,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[7,4,8,3,5,2,1,6]=>[4,3,7,5,8,2,1,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[1,6,7,3,8,4,2,5]=>[1,6,7,8,3,4,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[7,8,3,1,4,5,2,6]=>[3,1,7,4,8,5,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[7,2,8,4,1,3,5,6]=>[2,1,4,7,8,3,5,6]=>[[1,3,5,6],[2,4,7,8]]=>[2,2,3,1]
[6,1,7,3,2,8,4,5]=>[3,6,7,8,1,2,4,5]=>[[1,2,4,5],[3,6,7,8]]=>[3,3,2]
[6,2,1,7,3,8,4,5]=>[2,6,7,8,1,3,4,5]=>[[1,3,4,5],[2,6,7,8]]=>[2,4,2]
[7,4,2,8,3,5,1,6]=>[4,2,7,3,8,5,1,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[7,3,8,2,1,4,6,5]=>[7,3,2,8,1,6,4,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[4,7,8,2,1,5,6,3]=>[4,7,2,1,8,5,6,3]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[6,7,2,8,5,1,4,3]=>[6,2,7,8,5,1,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[6,7,8,5,2,1,4,3]=>[6,2,7,8,5,4,1,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[4,7,8,2,1,5,3,6]=>[4,2,7,5,8,1,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[4,1,7,8,2,5,3,6]=>[4,1,7,2,8,5,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[1,6,2,7,8,4,3,5]=>[1,6,7,8,2,4,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[10,1,8,9,2,3,4,5,6,7]=>[1,2,3,4,5,8,6,10,9,7]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>[8,2]
[7,3,4,1,8,6,2,5]=>[3,7,4,8,1,6,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[1,4,7,8,6,2,5,3]=>[4,7,8,1,2,6,5,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[1,3,2,7,8,4,6,5]=>[7,3,8,1,2,4,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[2,1,5,3,4,8,7,6]=>[8,7,2,5,1,3,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[3,5,4,1,2,6,8,7]=>[8,1,5,3,4,2,6,7]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[6,2,4,3,8,7,1,5]=>[2,8,6,4,3,1,7,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[5,6,1,3,8,7,2,4]=>[1,8,5,3,6,2,7,4]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[5,7,1,4,6,2,8,3]=>[5,4,1,7,6,8,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[8,5,1,4,7,6,2,3]=>[1,8,5,2,7,4,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[5,6,4,2,7,1,3,8]=>[2,5,6,4,1,7,3,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[4,5,7,1,6,2,3,8]=>[1,4,5,7,2,6,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[6,3,1,4,7,8,2,5]=>[3,4,6,1,2,7,8,5]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[8,2,4,1,5,6,3,7]=>[4,2,1,8,5,6,3,7]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[9,8,7,6,5,1,3,4,2]=>[3,1,9,8,7,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8],[9]]=>[3,6]
[2,5,7,3,8,1,6,4]=>[5,7,2,3,8,1,6,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[4,3,8,6,5,2,7,1]=>[6,8,4,3,5,2,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[8,4,1,6,5,7,2,3]=>[1,4,8,6,5,2,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[4,1,8,6,5,7,2,3]=>[1,6,8,4,5,2,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[8,1,4,7,5,6,2,3]=>[1,8,2,4,5,7,6,3]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[8,7,4,6,5,1,2,3]=>[1,2,8,4,7,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[5,2,7,3,1,8,6,4]=>[7,5,8,6,2,3,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[3,5,2,6,7,4,1,8]=>[5,3,6,2,7,4,1,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[4,5,7,2,6,1,3,8]=>[2,4,5,1,7,6,3,8]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[8,1,2,7,6,4,3,5]=>[1,8,7,6,2,4,3,5]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[7,3,5,6,2,4,8,1]=>[3,2,5,7,6,4,8,1]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[8,3,4,6,5,2,1,7]=>[3,8,4,6,5,2,1,7]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[3,2,5,6,8,4,1,7]=>[5,3,2,6,4,8,1,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[8,2,6,1,5,4,3,7]=>[6,8,2,1,5,4,3,7]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[3,7,5,6,2,4,1,8]=>[3,2,7,5,6,4,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[3,4,5,6,7,1,9,2,8]=>[3,4,5,6,7,1,9,2,8]=>[[1,2,5,6,7,8],[3,4,9]]=>[3,6]
[2,3,6,7,8,4,5,1]=>[2,6,3,4,7,8,5,1]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[2,4,5,3,7,8,1,6]=>[4,2,5,3,1,7,8,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[6,5,2,1,3,8,4,7]=>[6,2,5,1,8,3,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[2,4,3,5,6,8,1,7]=>[4,2,3,5,6,1,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[6,3,2,4,8,5,1,7]=>[6,3,2,8,4,5,1,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[6,3,1,2,7,8,4,5]=>[1,6,3,7,2,4,8,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[6,3,1,7,4,8,2,5]=>[3,6,7,4,1,2,8,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[7,4,6,2,8,1,3,5]=>[2,4,1,7,6,3,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[7,4,6,1,3,8,2,5]=>[4,1,3,7,6,2,8,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[7,4,6,1,2,8,5,3]=>[7,4,1,6,8,5,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[8,5,6,7,2,1,4,3]=>[5,2,6,8,7,4,1,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[8,5,6,7,2,4,1,3]=>[2,1,5,6,8,7,4,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[7,1,3,6,5,4,8,2]=>[7,6,3,1,5,4,8,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[2,5,6,3,8,4,7,1]=>[5,6,2,3,8,4,7,1]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[6,5,4,1,2,7,3,8]=>[6,1,5,4,7,2,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[1,7,6,2,8,3,5,4]=>[7,1,6,8,5,2,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[7,1,5,6,3,2,8,4]=>[5,7,6,1,8,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[1,8,5,4,7,2,3,6]=>[1,5,4,8,2,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[5,1,7,3,2,8,4,6]=>[5,3,7,8,1,2,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[5,7,8,1,3,2,4,6]=>[1,5,3,2,7,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[8,2,4,1,6,7,3,5]=>[4,2,1,8,3,6,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[8,7,3,6,2,4,1,5]=>[3,2,4,8,7,6,1,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[7,8,6,1,3,5,4,2]=>[7,3,1,8,6,5,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[1,7,5,8,4,3,2,6]=>[5,7,4,8,1,3,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[6,3,1,2,7,8,5,4]=>[6,7,1,8,3,2,5,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[8,2,7,5,3,4,1,6]=>[2,3,8,7,5,4,1,6]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[6,3,1,2,8,7,5,4]=>[8,6,7,1,5,3,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[8,4,7,2,6,3,1,5]=>[4,2,8,3,7,6,1,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[1,2,5,7,8,3,6,4]=>[5,7,1,2,3,8,6,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[8,4,6,2,3,7,1,5]=>[2,4,3,6,8,1,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[3,4,5,8,1,7,2,6]=>[3,4,5,1,8,2,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[6,3,4,2,7,8,1,5]=>[3,4,6,2,1,7,8,5]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[6,3,4,2,7,1,5,8]=>[3,4,6,2,1,7,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[5,6,3,7,8,2,1,4]=>[3,5,6,2,7,8,1,4]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[4,5,6,2,7,8,3,1]=>[4,5,6,7,2,8,3,1]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[4,5,6,2,7,1,8,3]=>[4,5,6,7,2,8,1,3]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[4,5,6,2,1,7,8,3]=>[4,5,6,7,2,1,8,3]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[4,5,6,2,1,7,3,8]=>[4,5,6,7,2,1,3,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[5,8,6,2,1,7,3,4]=>[2,5,8,6,7,1,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[5,6,3,1,7,2,4,8]=>[3,5,6,1,7,2,4,8]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[6,8,7,2,3,1,4,5]=>[2,3,1,8,6,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[2,5,6,7,4,1,3,8]=>[2,5,1,6,7,4,3,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[5,3,6,7,1,4,8,2]=>[3,5,6,1,7,4,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[4,5,1,6,7,3,2,8]=>[4,5,6,7,1,3,2,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[3,7,4,8,1,5,6,2]=>[3,4,7,5,1,8,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[2,5,1,8,3,7,4,6]=>[5,2,8,1,3,7,4,6]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[2,3,8,6,5,7,1,4]=>[2,6,8,3,1,5,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[6,3,4,1,7,5,8,2]=>[6,3,7,4,5,1,8,2]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[5,7,2,1,3,8,4,6]=>[5,2,1,7,8,3,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[3,7,5,4,1,6,8,2]=>[5,7,3,4,6,1,8,2]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[3,8,5,4,1,6,7,2]=>[5,3,8,4,6,1,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[4,1,7,6,3,2,5,8]=>[4,7,3,6,1,2,5,8]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[1,8,6,4,7,3,5,2]=>[4,6,8,3,1,7,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[7,1,5,4,2,6,3,8]=>[5,7,4,1,6,2,3,8]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[5,6,1,8,3,2,4,7]=>[3,5,6,1,8,2,4,7]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[8,5,6,3,7,2,1,4]=>[3,5,6,8,2,7,1,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[2,5,3,6,7,1,8,4]=>[5,6,2,3,7,8,1,4]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[9,8,7,6,5,2,4,3,1]=>[9,2,8,7,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8],[9]]=>[2,7]
[10,9,8,7,6,5,4,2,3,1]=>[2,10,9,8,7,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]]=>[2,8]
[3,2,4,5,6,7,8,10,9,1]=>[10,3,2,4,5,6,7,8,9,1]=>[[1,4,5,6,7,8,9],[2],[3],[10]]=>[3,7]
[8,5,2,1,7,6,3,4]=>[2,8,5,7,6,1,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[6,5,4,8,2,1,3,7]=>[2,6,5,4,1,8,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[8,7,3,6,5,4,1,2]=>[1,8,7,3,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[5,8,4,1,7,3,6,2]=>[5,4,8,1,7,3,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[5,1,4,6,8,7,3,2]=>[8,5,4,1,6,7,3,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[7,2,1,8,5,6,4,3]=>[7,8,2,5,6,1,4,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[1,5,4,6,2,3,8,7]=>[8,1,5,4,2,6,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[8,5,7,6,3,4,2,1]=>[3,8,5,7,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[8,5,6,4,3,1,7,2]=>[5,6,8,4,3,7,1,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[8,3,5,6,7,1,2,4]=>[1,3,2,5,6,8,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[2,1,4,7,3,6,8,5]=>[7,4,2,1,3,6,8,5]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[8,6,1,4,3,7,2,5]=>[1,8,4,6,3,2,7,5]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[8,4,7,5,1,6,3,2]=>[4,8,5,7,6,3,1,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[8,4,1,3,7,6,5,2]=>[8,7,4,1,6,3,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[3,7,6,8,1,4,5,2]=>[3,7,1,4,6,8,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[3,7,5,8,4,1,6,2]=>[5,7,3,4,8,6,1,2]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[4,7,5,1,3,6,2,8]=>[4,1,7,5,3,6,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[8,6,4,3,7,2,1,5]=>[4,6,8,3,2,7,1,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[8,6,4,3,1,2,7,5]=>[6,1,8,7,4,3,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[7,8,1,4,3,2,6,5]=>[7,1,8,6,4,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[5,8,1,4,3,2,6,7]=>[5,1,4,8,3,2,6,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[4,6,5,3,8,1,2,7]=>[1,6,4,5,3,2,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[5,8,1,6,7,3,2,4]=>[1,5,6,8,3,7,2,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[7,8,1,4,3,2,5,6]=>[1,4,7,8,3,2,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[4,3,1,8,6,5,7,2]=>[6,8,4,3,5,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[4,3,2,7,5,1,8,6]=>[7,8,4,3,2,5,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[5,2,3,7,4,1,8,6]=>[7,5,2,8,3,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[2,1,7,4,3,6,8,5]=>[7,4,6,2,1,3,8,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[2,5,3,8,1,6,7,4]=>[5,6,2,3,1,8,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[5,6,3,4,1,7,8,2]=>[3,5,6,4,7,1,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[6,8,2,3,1,5,7,4]=>[6,2,3,8,1,5,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[7,2,1,3,5,6,8,4]=>[7,2,1,3,5,6,8,4]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[5,2,4,7,8,6,3,1]=>[7,5,2,4,8,6,3,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[5,4,8,7,2,3,1,6]=>[2,5,8,4,3,7,1,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[8,1,4,5,3,6,2,7]=>[4,5,1,3,8,6,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[8,3,5,1,4,6,2,7]=>[3,5,1,4,8,6,2,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[6,5,7,2,1,8,4,3]=>[6,5,7,8,4,2,1,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[7,4,1,3,8,5,6,2]=>[7,1,4,8,3,5,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[3,6,8,4,1,7,2,5]=>[3,6,4,1,8,7,2,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[2,1,8,4,7,6,3,5]=>[2,8,7,4,1,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[3,5,2,4,7,8,6,1]=>[7,3,2,5,4,8,6,1]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[7,5,6,3,8,2,1,4]=>[3,5,7,6,2,8,1,4]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[1,6,2,7,4,5,8,3]=>[6,1,7,4,2,5,8,3]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[7,3,4,5,1,6,8,2]=>[3,4,5,7,6,1,8,2]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[3,5,8,7,1,6,4,2]=>[8,3,5,7,6,1,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[8,4,2,7,6,1,5,3]=>[4,8,7,2,6,1,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[8,4,7,1,2,6,5,3]=>[8,4,1,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[8,4,7,1,6,5,2,3]=>[1,8,4,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[8,4,7,6,1,2,5,3]=>[4,1,8,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[5,7,8,1,6,2,4,3]=>[5,1,7,8,2,6,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[6,8,4,7,5,2,1,3]=>[2,6,8,4,7,5,1,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[6,8,4,5,2,1,3,7]=>[2,4,6,5,8,1,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,8,4,5,7,2,1,3]=>[2,4,6,5,8,7,1,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[6,8,4,2,5,7,1,3]=>[2,4,6,1,8,5,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,8,4,2,5,1,3,7]=>[2,4,6,1,8,5,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[8,1,4,6,2,3,7,5]=>[6,1,4,2,8,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[4,8,6,2,3,7,1,5]=>[2,4,3,8,6,1,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[6,5,4,3,2,7,1,8,9]=>[6,5,4,3,2,7,1,8,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>[6,3]
[5,4,3,2,6,1,7,8,9]=>[5,4,3,2,6,1,7,8,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>[5,4]
[4,3,2,5,1,6,7,8,9]=>[4,3,2,5,1,6,7,8,9]=>[[1,5,6,7,8,9],[2],[3],[4]]=>[4,5]
[3,2,4,1,5,6,7,8,9]=>[3,2,4,1,5,6,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,6]
[2,5,3,7,6,4,8,1]=>[7,5,6,2,3,4,8,1]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[3,1,5,7,6,4,2,8]=>[7,5,3,6,1,4,2,8]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[4,1,3,6,5,2,7,8]=>[6,4,1,3,5,2,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[3,6,2,5,4,7,1,8]=>[6,3,2,5,4,7,1,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[4,1,2,6,5,3,7,8]=>[6,4,1,5,2,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[4,2,6,3,5,1,7,8]=>[4,2,6,3,5,1,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[3,4,7,6,5,1,2,8]=>[1,7,6,3,4,5,2,8]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[4,5,2,7,1,3,6,8]=>[2,4,5,1,3,7,6,8]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[2,5,4,7,3,6,8,1]=>[5,4,2,3,7,6,8,1]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[2,5,4,8,6,1,7,3]=>[5,8,4,2,6,7,1,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[2,4,3,7,5,8,6,1]=>[7,8,4,2,3,5,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[2,6,5,1,7,3,8,4]=>[6,5,7,2,8,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[6,4,7,1,3,5,2,8]=>[4,1,6,3,7,5,2,8]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[6,8,1,2,5,3,7,4]=>[6,5,1,2,8,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[5,2,8,3,4,6,7,1]=>[2,5,3,4,8,6,7,1]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[4,5,2,6,1,3,7,8]=>[2,4,5,1,6,3,7,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[4,3,5,8,6,1,7,2]=>[4,8,3,5,6,7,1,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[4,2,8,3,6,7,5,1]=>[8,4,2,3,6,7,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[3,7,1,8,5,2,4,6]=>[3,1,7,5,8,2,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[6,1,2,4,7,3,5,8]=>[1,6,2,4,3,7,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[1,5,2,3,7,8,6,4]=>[7,5,1,8,2,3,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[4,2,8,1,6,5,7,3]=>[4,8,6,2,1,5,7,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[1,2,6,3,7,4,8,5,9]=>[6,7,8,1,2,3,4,5,9]=>[[1,2,3,4,5,9],[6,7,8]]=>[6,3]
[5,6,1,4,8,3,2,7]=>[5,6,1,4,3,8,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[3,6,4,1,7,2,8,5]=>[6,7,3,4,8,1,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[6,4,2,8,1,9,7,5,3]=>[8,6,9,4,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>[2,2,2,2,1]
[4,3,2,6,1,7,5,8,9,10]=>[6,4,3,2,7,1,5,8,9,10]=>[[1,5,8,9,10],[2,7],[3],[4],[6]]=>[4,2,4]
[3,5,2,7,1,8,6,4,9,10]=>[7,5,3,8,2,6,1,4,9,10]=>[[1,4,9,10],[2,6],[3,8],[5],[7]]=>[3,2,2,3]
[6,4,2,8,1,9,7,5,3,10]=>[8,6,9,4,7,2,5,1,3,10]=>[[1,3,10],[2,5],[4,7],[6,9],[8]]=>[2,2,2,2,2]
[5,2,6,3,7,8,4,1]=>[5,6,7,2,3,8,4,1]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[2,4,1,3,7,8,6,5]=>[7,8,2,1,4,3,6,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[2,6,1,5,7,8,4,3]=>[6,5,2,1,7,8,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[8,4,6,3,7,5,1,2]=>[1,6,4,8,7,3,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[5,7,4,8,1,2,6,3]=>[5,1,4,7,8,2,6,3]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[3,7,5,6,8,2,4,1]=>[3,2,7,5,6,8,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[2,7,1,6,8,4,5,3]=>[7,2,4,1,6,8,5,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[1,4,7,5,8,3,6,2]=>[4,7,5,1,3,8,6,2]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[4,8,7,3,5,6,2,1]=>[4,3,8,5,7,6,2,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[4,3,8,1,6,5,7,2]=>[4,8,3,6,1,5,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[5,8,7,1,4,6,3,2]=>[5,8,1,4,7,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[4,6,5,1,2,7,3,8]=>[6,1,4,5,7,2,3,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[2,6,4,1,3,7,5,8]=>[6,2,7,1,4,3,5,8]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[7,5,4,3,8,6,1,2]=>[1,7,8,5,4,3,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[7,8,5,3,2,1,6,4]=>[5,7,8,6,3,2,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[5,1,3,8,2,6,7,4]=>[5,6,1,3,2,8,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[1,2,6,7,8,4,5,3]=>[6,1,4,2,7,8,5,3]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[6,1,4,8,2,7,5,3]=>[6,8,4,1,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[7,4,8,1,2,5,3,6]=>[4,1,2,7,8,5,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[5,2,3,7,1,8,4,6]=>[5,2,3,7,1,8,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[3,5,4,8,2,1,6,7]=>[5,3,4,2,1,8,6,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[7,2,3,1,8,4,6,5]=>[7,2,8,3,6,1,4,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[7,3,4,5,1,8,6,2]=>[7,3,4,8,5,6,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[3,1,4,7,2,6,5,8]=>[7,3,4,1,2,6,5,8]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[5,7,3,8,1,2,4,6]=>[1,3,5,2,7,4,8,6]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[2,7,5,1,3,6,4,8]=>[7,2,1,5,6,3,4,8]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[3,6,1,5,7,4,8,2]=>[6,3,5,1,7,4,8,2]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[5,6,7,2,8,3,4,1]=>[2,5,6,7,8,3,4,1]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[2,6,7,8,3,1,4,5]=>[2,3,6,1,7,8,4,5]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[4,6,3,7,8,2,5,1]=>[4,3,6,2,7,8,5,1]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[5,6,7,1,8,4,2,3]=>[1,5,6,7,8,4,2,3]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[1,7,3,2,8,6,5,4]=>[7,8,6,5,3,1,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[3,7,1,2,8,6,5,4]=>[7,8,6,1,3,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[2,7,3,1,8,6,5,4]=>[7,8,6,5,2,3,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[2,7,8,1,6,5,3,4]=>[2,7,8,1,3,6,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[6,8,1,3,4,7,5,2]=>[6,3,1,8,4,7,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[6,2,8,7,1,5,3,4]=>[2,8,1,6,7,3,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[5,1,8,7,3,4,6,2]=>[5,1,8,3,7,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[5,8,2,7,6,3,1,4]=>[2,8,5,7,3,6,1,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[2,8,4,7,6,3,1,5]=>[2,8,7,4,3,6,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[1,4,8,7,6,3,2,5]=>[4,8,7,1,6,3,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[8,3,1,5,6,7,4,2]=>[5,3,8,1,6,7,4,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[2,5,1,6,8,7,4,3]=>[8,5,6,2,7,1,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[1,8,2,4,6,7,5,3]=>[8,4,1,2,6,7,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[1,4,7,3,8,5,6,2]=>[4,7,3,1,8,5,6,2]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[2,5,1,8,4,7,6,3]=>[8,5,7,2,1,4,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[2,3,7,1,8,6,5,4]=>[7,8,6,2,3,5,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[2,4,5,8,1,7,6,3]=>[8,4,2,5,7,1,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[2,3,8,5,1,7,6,4]=>[8,7,2,5,3,6,1,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[1,8,3,5,2,7,6,4]=>[8,7,1,5,3,6,2,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[3,1,7,2,8,6,5,4]=>[7,8,6,3,5,1,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[4,1,8,2,6,7,3,5]=>[4,1,8,2,3,6,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[2,6,1,5,8,7,3,4]=>[2,8,6,1,3,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[8,1,7,3,5,2,4,6]=>[1,3,8,2,5,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,1,3,2,7,6,4,5]=>[1,8,7,3,6,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,1,6,5,3,2,7,4]=>[6,8,5,7,1,3,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[8,1,7,6,3,2,5,4]=>[8,1,7,6,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[5,7,1,4,3,2,8,6]=>[7,5,8,1,4,3,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[6,7,4,5,3,1,8,2]=>[4,6,7,5,3,8,1,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[7,4,6,5,1,2,8,3]=>[7,1,4,6,5,8,2,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[6,5,4,8,3,1,7,2]=>[6,5,4,3,8,7,1,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[6,7,5,3,2,8,4,1]=>[6,7,5,8,3,2,4,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[6,3,5,1,8,7,4,2]=>[8,6,3,5,7,4,1,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[6,8,5,3,2,7,4,1]=>[6,5,8,7,3,2,4,1]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[6,3,4,8,2,7,1,5]=>[3,4,6,2,1,8,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[6,2,4,5,3,8,1,7]=>[4,2,6,5,3,1,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[6,1,5,4,7,2,3,8]=>[1,6,5,2,4,7,3,8]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[6,8,5,4,7,1,3,2]=>[6,1,5,8,4,7,3,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[5,8,7,4,3,2,6,1]=>[5,8,4,7,3,2,6,1]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[8,2,5,4,1,3,6,7]=>[2,1,5,8,4,3,6,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[8,1,5,4,6,3,2,7]=>[5,8,1,4,6,3,2,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[3,8,5,4,2,7,6,1]=>[8,5,7,3,4,2,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[3,6,8,4,7,5,2,1]=>[6,8,3,4,7,5,2,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[7,6,5,3,1,4,8,2]=>[3,7,6,5,4,1,8,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[1,6,2,4,5,8,7,3]=>[8,6,1,2,4,5,7,3]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[7,1,2,5,3,8,6,4]=>[7,8,5,1,2,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[1,6,8,4,2,5,7,3]=>[6,1,4,8,5,2,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[2,8,1,6,3,7,5,4]=>[8,6,2,7,1,5,3,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[3,6,8,4,1,5,7,2]=>[3,6,4,8,1,5,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[1,8,2,6,3,5,7,4]=>[8,1,2,6,5,3,7,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,4,2,8,3,5,7,6]=>[8,4,1,2,7,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[5,6,1,4,8,3,7,2]=>[5,6,1,4,3,8,7,2]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[1,6,3,4,8,5,7,2]=>[6,3,1,8,4,5,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[1,6,2,4,8,3,7,5]=>[6,8,1,4,2,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[7,1,2,8,3,4,6,5]=>[7,1,2,8,3,6,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[7,6,3,8,4,1,2,5]=>[1,3,7,6,8,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[1,3,6,2,7,5,8,4]=>[6,7,3,1,5,2,8,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[1,6,2,7,5,4,8,3]=>[6,7,5,4,1,2,8,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[1,7,8,5,4,2,6,3]=>[5,7,8,4,1,6,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[1,5,2,8,6,4,7,3]=>[5,8,6,4,1,2,7,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[1,8,4,2,6,5,7,3]=>[4,8,6,5,1,2,7,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[4,1,7,8,5,2,6,3]=>[4,7,8,1,5,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[7,1,8,6,4,2,5,3]=>[4,7,8,6,5,1,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[4,1,6,8,5,2,7,3]=>[6,4,8,1,5,7,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[6,8,1,5,2,3,7,4]=>[6,1,5,2,8,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[1,5,4,2,8,6,7,3]=>[5,8,4,6,1,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[1,5,3,6,7,2,8,4]=>[5,6,3,1,7,8,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[1,8,5,4,6,2,7,3]=>[5,4,8,6,1,7,2,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[1,7,5,4,6,2,8,3]=>[5,7,4,6,1,8,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[6,4,5,1,7,2,8,3]=>[4,6,5,7,8,1,2,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[4,8,1,3,7,6,2,5]=>[4,8,1,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[4,5,3,1,2,8,7,6]=>[8,7,1,4,5,3,2,6]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[5,7,8,1,2,4,3,6]=>[5,1,2,4,7,8,3,6]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[6,5,7,4,1,3,2,8]=>[6,1,5,7,4,3,2,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[7,1,6,8,2,5,4,3]=>[7,6,1,8,2,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[1,7,8,6,4,5,3,2]=>[7,8,1,4,6,5,3,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[3,2,8,6,4,5,1,7]=>[3,6,8,2,4,5,1,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[8,4,6,7,3,5,1,2]=>[1,4,3,6,8,7,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[3,1,2,6,8,7,5,4]=>[8,6,7,1,3,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[7,4,6,1,8,5,3,2]=>[7,4,6,8,5,3,1,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[7,4,6,3,8,1,5,2]=>[4,3,7,6,8,1,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[7,4,8,1,6,3,2,5]=>[4,1,7,8,6,3,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[7,4,8,3,6,2,1,5]=>[4,3,7,2,8,6,1,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[6,4,8,2,3,5,7,1]=>[2,4,6,3,5,8,7,1]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[4,6,8,2,5,7,1,3]=>[2,4,1,6,5,8,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,4,8,2,5,7,1,3]=>[2,4,6,1,5,8,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,8,2,4,7,3,5,1]=>[2,6,4,3,8,7,5,1]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[8,4,6,2,7,1,3,5]=>[2,4,1,6,8,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[6,8,4,2,7,1,3,5]=>[2,4,6,1,8,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[4,8,2,6,7,5,1,3]=>[2,6,4,1,8,7,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[8,2,4,6,7,5,1,3]=>[2,6,1,4,8,7,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[3,7,2,6,1,5,8,4]=>[7,3,2,1,6,5,8,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[7,5,1,6,2,4,8,3]=>[5,1,7,6,4,2,8,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[4,2,5,7,1,6,8,3]=>[4,5,2,7,1,6,8,3]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[7,6,2,1,8,4,5,3]=>[7,2,6,8,4,1,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[3,1,5,6,4,8,2,7]=>[5,3,6,1,4,2,8,7]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[2,4,8,6,5,3,7,1]=>[6,8,4,2,5,3,7,1]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[2,4,8,5,6,7,3,1]=>[4,2,8,5,6,7,3,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[6,2,7,3,5,1,4,8]=>[2,3,6,7,1,5,4,8]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[7,2,6,3,5,1,4,8]=>[2,3,7,1,6,5,4,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[6,5,2,3,8,4,7,1]=>[6,2,5,3,8,4,7,1]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[7,5,2,1,4,6,8,3]=>[5,2,7,4,1,6,8,3]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[8,5,2,7,3,4,6,1]=>[2,5,3,8,7,4,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[1,7,2,4,5,6,8,3]=>[4,1,2,7,5,6,8,3]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[7,2,8,1,4,6,3,5]=>[2,7,1,4,3,8,6,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[2,7,8,1,5,6,3,4]=>[2,5,1,3,7,8,6,4]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[6,8,2,3,1,5,4,7]=>[6,2,3,5,8,1,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[5,8,2,3,1,6,4,7]=>[5,2,3,8,6,1,4,7]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[4,2,3,8,1,7,5,6]=>[2,8,4,3,1,5,7,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[5,1,3,8,4,6,7,2]=>[5,3,1,4,8,6,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[5,1,3,2,6,7,8,4]=>[5,6,1,3,2,7,8,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[5,1,3,4,2,7,6,8]=>[7,3,1,5,4,2,6,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[7,2,1,3,5,8,4,6]=>[2,7,1,5,3,4,8,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[6,8,7,2,3,4,5,1]=>[2,3,4,8,6,7,5,1]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[3,7,2,8,1,4,5,6]=>[3,2,1,4,7,5,8,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[2,5,3,7,4,6,1,8]=>[5,2,7,3,4,6,1,8]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[2,8,7,5,1,3,4,6]=>[2,1,3,8,7,5,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[7,5,3,4,2,1,8,6]=>[7,3,8,5,4,2,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[5,2,1,3,6,7,8,4]=>[5,2,6,1,3,7,8,4]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[7,5,2,6,1,8,4,3]=>[5,7,6,8,2,4,1,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[7,5,6,8,1,2,4,3]=>[5,1,2,7,6,8,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[5,2,1,4,8,7,6,3]=>[8,7,5,2,4,1,6,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[6,2,3,5,8,7,1,4]=>[2,8,3,1,6,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[7,5,1,3,6,8,4,2]=>[5,7,1,6,3,8,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[8,3,7,5,1,4,2,6]=>[3,1,8,7,5,4,2,6]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[5,4,1,8,6,2,3,7]=>[1,5,8,4,6,2,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[8,3,2,6,4,5,1,7]=>[3,2,8,6,4,5,1,7]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[8,5,3,7,4,1,2,6]=>[1,5,3,8,7,4,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[8,5,6,2,7,1,3,4]=>[2,1,5,6,8,3,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[8,5,7,3,2,6,1,4]=>[3,5,2,8,7,1,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[8,1,2,3,6,4,7,5]=>[8,1,6,2,3,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[7,6,2,3,5,8,1,4]=>[2,3,1,7,6,5,8,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[5,2,6,1,4,3,7,8]=>[5,2,6,1,4,3,7,8]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[5,3,7,4,2,8,6,1]=>[7,5,8,3,4,2,6,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[5,6,2,8,7,1,4,3]=>[8,2,5,6,7,1,4,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,1,6,3,5,7,2,8]=>[4,6,1,3,5,7,2,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[3,1,5,7,4,6,8,2]=>[5,3,4,1,7,6,8,2]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[7,2,5,8,6,1,4,3]=>[7,2,8,1,5,6,4,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[3,5,4,1,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[5,3,1,4,6,7,8,2]=>[3,5,4,1,6,7,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[4,6,7,1,3,5,8,2]=>[4,1,3,6,7,5,8,2]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[4,6,2,1,3,7,8,5]=>[6,2,4,7,1,3,8,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[3,2,6,7,4,8,5,1]=>[6,7,3,2,8,4,5,1]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[7,1,3,8,4,5,2,6]=>[1,7,3,4,8,5,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[3,1,6,7,8,4,5,2]=>[3,6,4,1,7,8,5,2]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[7,4,5,6,2,1,8,3]=>[4,5,7,6,8,2,1,3]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[6,4,5,2,7,1,8,3]=>[4,6,5,7,2,8,1,3]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[5,7,8,4,2,3,1,6]=>[2,5,4,7,8,3,1,6]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[6,3,1,4,5,2,7,8]=>[3,6,1,4,5,2,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[6,4,1,2,7,8,3,5]=>[1,6,4,2,7,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[6,4,1,3,5,2,7,8]=>[4,1,6,3,5,2,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[6,3,4,1,7,8,2,5]=>[3,4,6,1,7,2,8,5]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[4,5,8,2,3,7,1,6]=>[2,4,5,3,1,8,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[6,8,1,5,4,2,3,7]=>[1,6,2,8,5,4,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[4,7,2,5,1,6,8,3]=>[4,5,2,7,6,1,8,3]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[3,1,4,5,8,2,7,6]=>[8,3,4,1,5,2,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[6,2,3,8,5,1,4,7]=>[2,6,3,1,8,5,4,7]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[6,2,5,1,3,8,4,7]=>[6,2,1,5,3,8,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[5,1,4,6,2,8,3,7]=>[5,4,1,6,2,8,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[6,3,1,7,4,2,5,8]=>[3,6,7,4,1,2,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[6,8,5,3,7,4,2,1]=>[6,5,8,7,3,4,2,1]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[7,2,8,1,5,6,4,3]=>[7,5,2,1,8,6,4,3]=>[[1,3],[2,4],[5,6],[7,8]]=>[2,3,2,1]
[8,3,6,4,1,5,7,2]=>[3,4,8,6,5,1,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[7,5,6,1,4,8,2,3]=>[1,5,2,7,6,4,8,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[5,7,2,6,3,8,4,1]=>[5,7,6,2,8,3,4,1]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[5,7,3,6,4,1,2,8]=>[1,5,7,3,6,4,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[7,2,4,3,8,1,5,6]=>[2,4,7,3,1,5,8,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[2,6,5,3,8,1,4,7]=>[2,6,5,3,1,4,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[6,1,2,4,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>[4,2,2]
[5,6,7,4,1,3,8,2]=>[5,1,6,7,4,3,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[8,5,6,1,4,2,7,3]=>[5,6,1,8,4,7,2,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[5,8,6,1,4,2,7,3]=>[8,1,5,6,4,7,2,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[7,6,1,2,4,3,5,8]=>[1,7,2,4,6,3,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[5,6,7,4,1,3,2,8]=>[5,1,6,7,4,3,2,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[1,7,6,8,4,3,2,5]=>[4,7,6,8,1,3,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[6,4,5,7,1,3,2,8]=>[4,1,6,5,7,3,2,8]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[6,1,2,4,3,5,8,7]=>[8,1,6,2,4,3,5,7]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[7,4,5,8,2,3,6,1]=>[2,4,5,7,3,8,6,1]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[4,6,1,3,7,8,5,2]=>[6,4,1,7,3,8,5,2]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[8,4,1,5,2,6,7,3]=>[4,5,8,1,6,2,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[5,3,2,6,8,7,1,4]=>[3,8,5,2,1,6,7,4]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[6,8,7,2,4,1,5,3]=>[4,2,8,6,7,5,1,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[5,3,8,7,1,4,2,6]=>[3,5,8,1,7,4,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[8,5,1,2,3,6,7,4]=>[5,1,2,8,3,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[8,3,2,6,1,5,7,4]=>[8,3,2,1,6,5,7,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[1,8,7,5,4,3,2,6]=>[5,8,7,4,3,1,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[3,1,4,7,6,2,5,8]=>[3,7,4,1,2,6,5,8]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[7,3,1,6,5,2,4,8]=>[3,7,1,6,5,2,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[7,1,5,2,4,6,3,8]=>[7,1,2,5,4,6,3,8]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,2,1]
[6,1,4,5,2,7,3,8]=>[4,6,1,5,7,2,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[6,1,5,8,2,7,4,3]=>[6,5,8,1,7,2,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[7,1,2,3,6,4,5,8]=>[1,7,2,3,4,6,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[3,1,8,7,5,4,6,2]=>[5,8,7,3,4,1,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[6,1,3,8,7,4,5,2]=>[8,1,6,3,7,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[7,4,1,3,6,5,2,8]=>[7,4,1,6,3,5,2,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[5,7,2,8,1,3,6,4]=>[5,2,7,1,8,3,6,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[6,5,1,4,7,3,2,8]=>[6,5,1,4,7,3,2,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[2,4,6,7,5,8,1,3]=>[2,6,1,4,7,5,8,3]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[2,4,5,6,8,7,1,3]=>[2,8,1,4,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[2,3,4,6,8,5,1,7]=>[6,2,3,4,5,8,1,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[8,6,5,1,4,2,7,3]=>[8,1,6,5,4,7,2,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[3,6,4,1,2,7,8,5]=>[6,1,7,3,4,2,8,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[5,3,6,4,1,8,2,7]=>[5,6,3,4,1,8,2,7]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[8,4,1,2,5,3,7,6]=>[8,4,1,5,7,2,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[7,2,5,4,1,6,8,3]=>[7,2,5,4,6,1,8,3]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[4,7,6,8,3,1,2,5]=>[1,4,7,3,6,8,2,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[4,8,2,7,6,5,1,3]=>[2,8,7,4,1,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[7,5,8,2,1,6,4,3]=>[5,7,8,6,2,4,1,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[3,2,1,6,5,8,4,7]=>[6,5,3,2,1,4,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[2,6,4,8,5,7,3,1]=>[6,8,2,4,5,7,3,1]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[5,8,7,4,6,1,3,2]=>[5,1,8,4,7,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[3,4,1,8,7,6,2,5]=>[3,8,7,4,1,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[1,3,5,6,8,7,2,4]=>[3,8,1,2,5,6,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[2,8,7,5,4,1,6,3]=>[5,8,7,4,2,6,1,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[8,1,5,7,4,2,6,3]=>[5,8,1,4,7,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[6,1,8,2,4,5,3,7]=>[6,1,2,4,8,5,3,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[8,3,7,5,4,1,2,6]=>[1,3,8,7,5,4,2,6]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[5,4,3,7,6,1,8,2]=>[7,5,4,3,6,8,1,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[8,6,3,7,1,4,2,5]=>[3,1,6,8,7,4,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[3,1,2,8,7,6,4,5]=>[1,8,7,6,3,2,4,5]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[8,3,2,1,6,4,7,5]=>[8,3,6,7,2,1,4,5]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[4,6,1,3,2,7,8,5]=>[6,4,1,7,3,2,8,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[6,7,2,5,8,4,1,3]=>[2,6,1,7,5,8,4,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[4,1,7,8,2,5,6,3]=>[4,7,1,2,5,8,6,3]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[2,6,7,5,1,4,3,8]=>[6,2,7,1,5,4,3,8]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[1,4,3,5,8,7,2,6]=>[4,8,3,1,5,2,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[6,2,3,1,7,4,5,8]=>[2,6,3,7,1,4,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[6,1,3,4,7,8,2,5]=>[3,1,4,6,2,7,8,5]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[5,2,4,1,6,7,3,8]=>[5,2,4,6,1,7,3,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[1,7,8,2,6,3,4,5]=>[1,2,7,3,8,4,6,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[7,2,8,1,3,5,4,6]=>[2,7,1,3,8,5,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[5,2,4,6,7,8,1,3]=>[2,1,5,4,6,7,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[8,1,4,6,5,7,3,2]=>[8,4,1,6,5,7,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[6,3,1,5,8,4,2,7]=>[6,3,5,1,8,4,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[1,3,6,4,2,7,5,8]=>[6,7,3,1,4,2,5,8]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[3,2,8,5,6,1,4,7]=>[3,2,1,8,5,6,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[4,3,2,5,7,8,1,6]=>[4,3,2,5,1,7,8,6]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[2,4,7,5,8,3,1,6]=>[4,7,2,5,3,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[3,7,8,4,2,1,6,5]=>[7,3,8,4,6,2,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[6,3,5,8,7,4,2,1]=>[8,6,3,5,7,4,2,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[3,3,2]
[4,8,2,7,6,3,1,5]=>[4,8,2,7,3,6,1,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[4,1,3,5,6,8,2,7]=>[4,1,3,5,6,2,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[8,5,4,7,6,3,1,2]=>[1,8,5,7,4,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[1,4,8,2,7,5,6,3]=>[4,8,5,1,2,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[2,4,8,1,7,5,3,6]=>[4,8,2,1,7,5,3,6]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[2,4,1,8,3,7,6,5]=>[8,7,4,2,1,6,3,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[3,8,4,2,7,6,1,5]=>[3,8,4,7,2,1,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[3,6,8,4,2,7,1,5]=>[3,6,4,2,8,1,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[3,7,5,1,6,2,8,4]=>[7,3,5,6,8,1,2,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[4,8,3,7,6,2,1,5]=>[4,8,3,2,7,6,1,5]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[1,4,7,6,3,8,2,5]=>[4,7,1,6,3,2,8,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[4,6,8,3,7,2,1,5]=>[4,3,6,2,8,7,1,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[7,4,1,6,2,8,5,3]=>[7,4,6,8,5,1,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[1,3,6,8,2,4,7,5]=>[6,3,1,2,8,4,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[6,8,3,7,4,2,1,5]=>[3,6,8,4,7,2,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[1,6,7,4,3,8,2,5]=>[4,6,7,1,3,2,8,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[4,6,1,8,5,2,7,3]=>[6,4,5,8,7,1,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[4,8,5,1,6,2,7,3]=>[4,5,8,6,7,1,2,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[8,5,4,1,6,2,7,3]=>[5,4,8,6,7,1,2,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[1,5,8,2,6,3,7,4]=>[5,8,1,6,2,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[5,6,3,1,7,2,8,4]=>[5,6,7,3,8,1,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[3,5,4,1,8,6,2,7]=>[5,8,3,4,6,1,2,7]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[4,3,5,8,6,1,2,7]=>[1,4,8,3,5,6,2,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[7,8,6,2,1,5,4,3]=>[7,8,2,6,5,4,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[7,8,6,2,1,4,5,3]=>[7,2,1,8,6,4,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[3,2,4,8,6,5,1,7]=>[6,8,3,2,4,5,1,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[6,7,5,2,4,8,1,3]=>[2,1,6,7,5,4,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[8,6,7,2,3,5,1,4]=>[2,3,1,6,8,7,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[7,8,6,2,4,5,1,3]=>[2,1,4,7,8,6,5,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[1,6,4,7,3,8,5,2]=>[6,7,4,8,1,3,5,2]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[1,3,5,7,9,2,4,6,8,10]=>[3,1,2,5,4,7,6,9,8,10]=>[[1,2,4,6,8,10],[3,5,7,9]]=>[3,2,2,2,1]
[3,4,5,6,7,8,2,1,9]=>[3,4,5,6,7,8,2,1,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,6]
[3,4,5,6,7,2,1,8,9]=>[3,4,5,6,7,2,1,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,6]
[4,8,1,6,3,7,2,5]=>[4,1,8,3,6,2,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[4,8,5,6,3,2,7,1]=>[4,5,8,6,3,2,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[1,7,8,6,4,5,2,3]=>[1,7,2,8,4,6,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[6,7,2,1,4,8,5,3]=>[6,7,2,8,4,1,5,3]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[6,4,2,5,8,7,1,3]=>[2,8,4,6,1,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[8,5,4,1,6,3,7,2]=>[5,4,8,6,3,1,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[1,8,6,3,4,5,7,2]=>[3,1,6,8,4,5,7,2]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[3,7,8,6,4,5,1,2]=>[1,3,7,8,4,6,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[1,7,6,2,4,8,5,3]=>[7,6,1,8,4,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[5,2,7,3,4,8,6,1]=>[7,2,5,8,3,4,6,1]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[5,7,3,2,4,8,6,1]=>[7,3,5,8,2,4,6,1]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[2,6,8,5,4,3,1,7]=>[6,5,8,2,4,3,1,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[2,8,4,6,3,5,1,7]=>[2,4,8,3,6,5,1,7]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[2,6,4,8,5,3,1,7]=>[6,4,8,2,5,3,1,7]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[3,8,1,4,6,5,2,7]=>[3,8,4,1,6,5,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[4,6,1,8,5,3,2,7]=>[6,4,5,8,3,1,2,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[8,6,7,1,4,3,2,5]=>[1,6,8,4,7,3,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[1,4,7,8,6,3,5,2]=>[4,7,3,1,8,6,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[8,3,6,1,2,7,4,5]=>[1,6,3,2,8,7,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[3,8,6,1,2,5,7,4]=>[8,1,3,2,6,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[3,7,6,2,1,8,5,4]=>[7,6,8,3,5,2,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[4,3,7,6,1,8,5,2]=>[7,6,4,3,8,5,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[8,6,3,2,7,1,5,4]=>[6,3,8,7,2,1,5,4]=>[[1,4],[2,5],[3,7],[6,8]]=>[3,3,2]
[6,8,1,5,4,7,2,3]=>[1,6,5,2,8,4,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[7,6,2,4,8,5,1,3]=>[2,7,1,6,8,4,5,3]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[8,7,5,2,1,4,3,6]=>[2,8,5,7,4,1,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[5,7,2,6,8,3,4,1]=>[2,5,7,3,6,8,4,1]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[7,3,4,5,2,1,8,6]=>[7,3,4,8,5,2,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[4,7,5,2,6,3,8,1]=>[4,7,5,6,2,3,8,1]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[4,8,5,2,6,3,7,1]=>[4,5,8,6,2,3,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[3,1,8,6,7,2,5,4]=>[8,3,1,6,7,2,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[2,7,4,6,8,3,1,5]=>[2,7,4,3,6,8,1,5]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[8,1,2,5,6,4,7,3]=>[5,6,1,2,8,4,7,3]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[2,8,5,1,6,3,7,4]=>[8,2,5,6,7,1,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[6,1,8,2,4,3,5,7]=>[1,6,4,2,8,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[7,6,1,5,3,4,2,8]=>[7,1,3,6,5,4,2,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[7,6,1,3,5,4,2,8]=>[7,3,1,6,5,4,2,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[8,5,2,7,3,6,4,1]=>[5,8,2,7,6,3,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[8,7,6,2,4,5,1,3]=>[2,1,4,8,7,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[5,3,8,1,7,4,6,2]=>[5,3,8,4,1,7,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[8,7,6,2,4,5,3,1]=>[4,2,8,7,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[4,1,8,5,2,7,3,6]=>[4,5,8,1,7,2,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[8,7,3,5,1,4,6,2]=>[3,5,1,8,7,4,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[3,2,1,7,4,8,6,5]=>[7,8,6,3,2,1,4,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[8,7,1,4,5,6,2,3]=>[1,4,2,5,8,7,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[3,2,1,5,8,7,4,6]=>[5,8,3,2,1,4,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[6,8,3,4,2,1,5,7]=>[3,4,6,2,8,1,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[7,8,3,4,2,6,5,1]=>[7,3,4,8,6,2,5,1]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[1,7,8,6,3,2,5,4]=>[7,1,8,6,5,3,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[2,7,1,4,5,6,3,8]=>[4,2,1,5,7,6,3,8]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[3,2,8,1,5,7,4,6]=>[5,3,2,1,4,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[8,1,7,4,5,6,3,2]=>[4,8,1,5,7,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[3,4,6,7,2,1,5,8]=>[3,4,2,6,7,1,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[1,2,6,5,7,3,4,8]=>[1,6,5,2,3,7,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[6,4,1,7,8,3,5,2]=>[4,6,7,1,3,8,5,2]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[2,6,7,1,4,3,8,5]=>[6,7,2,1,8,4,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[5,7,6,2,1,8,3,4]=>[2,7,5,6,8,1,3,4]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[7,2,5,1,6,3,8,4]=>[5,7,2,6,8,1,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[6,3,8,5,4,2,7,1]=>[6,5,8,3,4,2,7,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[7,4,6,1,3,5,2,8]=>[4,1,3,7,6,5,2,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[1,5,3,8,7,4,6,2]=>[5,8,7,1,3,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[5,1,3,8,7,4,6,2]=>[5,8,3,1,7,4,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[2,5,3,8,7,4,1,6]=>[5,8,2,7,3,4,1,6]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[5,8,2,7,4,6,3,1]=>[5,8,2,4,7,6,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[4,5,2,8,3,7,1,6]=>[4,5,2,3,8,1,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[8,7,5,1,6,4,3,2]=>[5,8,7,6,4,3,1,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[4,5,8,3,1,2,7,6]=>[8,1,4,5,3,7,2,6]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[4,6,8,3,2,1,7,5]=>[6,4,8,3,7,2,1,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[4,6,8,3,5,1,2,7]=>[1,4,3,6,5,8,2,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[4,5,8,3,1,6,2,7]=>[4,5,3,6,8,1,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[5,4,2,6,1,7,3,8]=>[5,4,6,2,7,1,3,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[7,2,6,3,4,8,1,5]=>[2,3,7,4,6,1,8,5]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[1,8,5,2,4,3,7,6]=>[8,1,7,5,4,2,3,6]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[2,5,1,3,4,8,7,6]=>[8,7,2,1,3,5,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[6,5,8,3,4,7,2,1]=>[3,6,5,4,8,7,2,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[4,7,6,3,1,5,2,8]=>[4,7,3,6,5,1,2,8]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[1,7,6,3,8,5,2,4]=>[3,7,6,8,1,2,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[1,8,7,4,2,5,6,3]=>[4,8,1,7,5,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[1,8,4,2,7,5,6,3]=>[4,8,7,1,5,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[7,3,1,8,4,5,6,2]=>[3,7,1,8,4,5,6,2]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[3,2,8,7,4,5,6,1]=>[3,2,8,7,4,5,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[6,2,4,3,7,5,8,1]=>[6,7,2,4,3,5,8,1]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[2,6,4,3,7,5,1,8]=>[6,7,4,2,3,5,1,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[3,8,2,1,5,7,6,4]=>[8,7,3,2,1,5,6,4]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[1,3,2,8,7,4,6,5]=>[8,3,7,6,1,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[5,4,2,7,3,8,6,1]=>[7,5,4,8,2,3,6,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[4,6,3,7,8,1,2,5]=>[1,4,3,6,2,7,8,5]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[2,7,5,4,1,6,8,3]=>[5,7,4,2,6,1,8,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[8,2,5,1,3,6,7,4]=>[5,2,1,8,3,6,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[5,1,8,4,3,2,7,6]=>[8,5,4,7,3,1,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[8,5,1,6,3,2,4,7]=>[3,5,6,8,1,2,4,7]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[8,1,6,5,3,2,4,7]=>[1,6,8,5,3,2,4,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[8,2,1,4,5,6,3,7]=>[4,2,1,5,8,6,3,7]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[5,6,8,3,1,2,4,7]=>[1,3,5,6,2,8,4,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[2,8,5,1,3,7,6,4]=>[8,7,2,1,5,6,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[2,4,5,8,3,7,6,1]=>[8,4,2,5,3,7,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[8,1,4,6,3,2,5,7]=>[4,1,3,8,6,2,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[5,6,4,1,8,2,7,3]=>[5,6,4,8,1,7,2,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[1,3,8,7,2,5,6,4]=>[8,3,1,5,2,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[2,5,4,1,8,3,7,6]=>[8,5,4,2,1,7,3,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[5,3,1,2,4,6,8,7]=>[8,1,3,5,2,4,6,7]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[2,5,8,4,1,3,6,7]=>[2,5,1,4,3,8,6,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[5,1,3,2,8,4,6,7]=>[5,1,3,8,2,4,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[1,4,8,3,5,2,6,7]=>[4,3,1,5,2,8,6,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[1,4,3,8,5,7,2,6]=>[4,3,8,1,5,2,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[1,8,3,4,7,5,2,6]=>[3,8,1,4,7,5,2,6]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[1,8,2,4,7,3,6,5]=>[8,1,7,2,4,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,7,3,6,2,1,4,5]=>[3,2,1,8,7,6,4,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[3,8,5,1,2,7,4,6]=>[1,8,3,5,2,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[2,7,1,6,5,8,3,4]=>[2,7,6,1,3,5,8,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[6,4,7,5,3,8,2,1]=>[6,7,4,5,3,8,2,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[2,5,7,4,8,3,6,1]=>[5,2,7,4,3,8,6,1]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[8,5,6,2,4,7,1,3]=>[2,1,5,6,8,4,7,3]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[5,6,1,7,3,4,8,2]=>[5,1,6,7,3,4,8,2]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[5,1,2,6,8,7,4,3]=>[8,5,6,1,7,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[1,3,4,6,8,2,7,5]=>[6,3,1,4,8,2,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[5,1,7,2,6,8,4,3]=>[5,7,6,1,8,2,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[8,1,5,7,3,6,4,2]=>[5,8,3,1,7,6,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[6,5,1,8,2,4,7,3]=>[6,1,5,8,2,4,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[4,2,7,5,3,6,1,8]=>[4,7,5,2,3,6,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[3,8,6,2,7,5,4,1]=>[8,6,3,7,5,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[3,1,7,6,5,2,4,8]=>[3,7,6,1,5,2,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[6,8,2,7,5,1,3,4]=>[2,1,6,8,3,7,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[1,8,4,2,5,7,3,6]=>[4,1,8,5,2,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[5,8,3,1,2,4,6,7]=>[1,3,5,2,4,8,6,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[1,4,8,5,2,3,6,7]=>[1,4,2,8,5,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[1,4,8,5,2,3,7,6]=>[8,1,4,7,2,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[7,2,5,8,1,4,3,6]=>[2,7,1,5,4,8,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[7,1,4,2,6,8,3,5]=>[1,7,4,2,6,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[1,5,8,7,2,4,3,6]=>[1,8,5,2,7,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[1,5,4,2,8,3,7,6]=>[8,5,4,1,7,2,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[1,2,8,7,3,5,4,6]=>[1,8,5,7,2,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,7,1,3,2,5,4,6]=>[1,8,3,7,5,2,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[3,7,1,2,6,8,4,5]=>[1,7,3,2,4,6,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[6,7,4,2,8,1,3,5]=>[2,4,6,7,1,3,8,5]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[4,1,6,8,7,2,3,5]=>[1,4,8,2,6,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[4,1,6,8,2,7,3,5]=>[4,1,6,8,2,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[1,2,5,7,6,8,3,4]=>[1,7,5,2,3,6,8,4]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[6,7,5,2,8,4,3,1]=>[6,7,5,8,4,2,3,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[6,8,4,3,2,7,5,1]=>[6,8,4,7,3,2,5,1]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[2,1,7,3,8,4,9,5,10,6]=>[7,8,9,10,2,1,3,4,5,6]=>[[1,3,4,5,6],[2,8,9,10],[7]]=>[2,5,3]
[6,5,1,4,7,8,2,3]=>[1,6,2,5,4,7,8,3]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[3,8,1,5,7,6,2,4]=>[3,8,1,5,2,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[7,5,4,1,8,3,6,2]=>[5,7,4,8,1,3,6,2]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[8,6,1,7,5,3,4,2]=>[6,1,8,7,5,3,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[2,8,7,6,4,1,5,3]=>[8,2,7,6,4,5,1,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[6,2,5,8,7,4,3,1]=>[8,6,5,2,7,4,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[6,1,5,8,7,4,3,2]=>[8,6,5,7,1,4,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[6,1,8,5,7,4,3,2]=>[6,8,5,7,1,4,3,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[8,5,1,4,7,6,3,2]=>[8,5,7,1,4,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[8,1,4,2,7,6,5,3]=>[8,7,6,1,4,5,2,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[8,5,2,4,7,6,3,1]=>[8,5,2,7,4,6,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[8,6,1,2,5,7,4,3]=>[6,8,1,2,5,7,4,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[8,1,3,7,2,4,6,5]=>[8,3,1,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[2,6,7,3,5,8,1,4]=>[2,3,6,1,7,5,8,4]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[5,3,1,6,4,8,2,7]=>[5,6,3,4,1,2,8,7]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[4,7,5,2,8,6,1,3]=>[2,7,8,4,5,1,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[3,8,6,7,2,5,4,1]=>[8,3,2,6,7,5,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[5,8,1,2,7,4,3,6]=>[5,1,8,2,7,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[6,3,1,8,2,4,5,7]=>[3,1,6,2,4,8,5,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[6,3,1,8,4,5,2,7]=>[3,6,4,8,1,5,2,7]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[4,2,3,6,8,1,7,5]=>[6,2,4,3,8,1,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[3,6,2,4,8,7,5,1]=>[8,6,3,2,7,4,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[4,3,2,7,5,8,6,1]=>[7,8,4,3,2,5,6,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[2,1,4,7,5,8,6,3]=>[7,8,4,2,1,5,6,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[7,6,2,4,8,3,1,5]=>[2,7,4,6,3,8,1,5]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[8,1,4,2,7,5,6,3]=>[8,1,4,7,5,2,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[6,3,4,2,7,5,8,1]=>[6,3,7,4,2,5,8,1]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[6,2,7,5,8,3,4,1]=>[2,6,7,5,3,8,4,1]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[4,2,7,5,8,1,6,3]=>[4,7,5,2,8,1,6,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[8,3,4,1,6,2,7,5]=>[6,3,4,8,7,1,2,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[1,7,2,8,3,9,4,10,5,6]=>[1,7,8,9,10,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>[7,3]
[1,7,2,8,9,3,4,10,5,6]=>[1,7,2,8,9,3,4,10,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>[7,3]
[1,7,8,2,3,9,4,10,5,6]=>[1,7,8,2,9,3,10,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>[7,3]
[1,7,8,2,3,9,10,4,5,6]=>[1,2,7,3,8,4,9,5,10,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>[7,3]
[1,7,8,2,9,3,4,10,5,6]=>[1,7,2,8,9,3,10,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>[7,3]
[7,1,2,8,3,9,4,10,5,6]=>[1,7,8,9,2,10,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>[7,3]
[7,1,2,8,9,3,4,10,5,6]=>[1,7,2,8,3,9,4,10,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>[7,3]
[7,1,8,2,3,9,4,10,5,6]=>[1,7,8,2,9,10,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>[7,3]
[7,1,8,2,9,3,4,10,5,6]=>[1,7,2,8,9,10,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>[7,3]
[7,8,1,2,3,9,4,10,5,6]=>[1,7,8,2,3,9,10,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>[7,3]
[7,8,1,2,9,3,4,10,5,6]=>[1,7,2,8,3,9,10,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>[7,3]
[6,8,3,1,2,5,4,7]=>[6,1,3,5,8,2,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[6,8,4,3,5,1,7,2]=>[4,6,3,8,5,7,1,2]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[2,5,7,6,8,4,1,3]=>[2,7,5,1,6,8,4,3]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[7,6,1,4,5,2,8,3]=>[4,7,1,6,5,8,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[1,4,7,3,6,8,2,5]=>[4,3,1,2,7,6,8,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[3,7,1,4,6,8,2,5]=>[3,4,1,2,7,6,8,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[2,4,7,3,6,8,1,5]=>[4,2,3,1,7,6,8,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[7,6,1,5,2,8,3,4]=>[1,7,6,2,5,8,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[8,5,7,6,1,3,2,4]=>[1,8,3,5,7,6,2,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[2,7,5,6,1,8,4,3]=>[7,5,2,6,8,4,1,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[1,2,6,7,4,5,8,3]=>[6,1,4,2,7,5,8,3]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[6,5,2,8,7,1,4,3]=>[8,2,6,5,7,1,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[3,8,7,2,5,1,6,4]=>[8,3,2,5,7,6,1,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[3,7,1,2,5,6,8,4]=>[5,1,3,2,7,6,8,4]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[2,7,1,4,6,8,3,5]=>[4,2,1,3,7,6,8,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[7,2,3,6,8,1,4,5]=>[2,3,1,4,7,6,8,5]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[5,8,1,4,2,7,3,6]=>[5,4,1,2,8,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[6,1,4,8,3,5,2,7]=>[6,1,4,3,5,8,2,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[2,3,8,6,1,5,4,7]=>[2,8,6,3,1,5,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[7,3,2,1,8,4,6,5]=>[7,3,8,6,2,1,4,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[5,8,7,4,2,3,1,6]=>[2,5,8,4,7,3,1,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[2,7,3,8,1,4,5,6]=>[2,3,1,7,4,5,8,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[2,3,1,8,7,5,6,4]=>[8,2,7,5,3,1,6,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[7,1,4,3,2,6,8,5]=>[7,4,6,1,3,2,8,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[7,4,8,2,3,6,1,5]=>[2,4,3,7,1,8,6,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[1,5,6,7,2,4,3,8]=>[5,1,6,2,7,4,3,8]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[6,8,2,1,4,7,3,5]=>[2,6,1,8,4,3,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[2,7,3,5,1,8,6,4]=>[7,8,2,5,3,6,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[3,7,8,1,6,5,4,2]=>[7,8,3,6,1,5,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[8,3,4,7,2,1,6,5]=>[8,3,4,2,7,6,1,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[5,7,2,4,1,8,3,6]=>[5,2,4,7,1,8,3,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[6,7,4,5,1,3,8,2]=>[4,1,6,7,5,3,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[1,6,5,3,8,2,4,7]=>[3,6,5,1,2,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[8,7,3,2,5,4,1,6]=>[3,8,5,7,2,4,1,6]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[5,6,1,2,4,8,3,7]=>[5,1,2,6,4,3,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[5,1,2,4,6,8,3,7]=>[5,1,2,4,6,3,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[8,7,4,5,1,3,2,6]=>[4,1,5,8,7,3,2,6]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[1,4,7,8,6,3,2,5]=>[4,7,1,8,3,6,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[3,1,5,7,4,2,8,6]=>[7,5,3,8,1,4,2,6]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[8,5,1,2,7,4,3,6]=>[5,1,8,4,7,2,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[4,1,8,7,2,5,3,6]=>[4,1,8,7,5,2,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[7,8,6,1,2,3,5,4]=>[7,1,2,3,8,6,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[2,6,3,8,4,1,7,5]=>[6,8,2,7,3,4,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[1,6,3,7,4,8,2,5]=>[3,6,7,1,4,2,8,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[4,8,5,1,3,2,7,6]=>[8,1,7,4,5,3,2,6]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[3,2,4,7,6,1,8,5]=>[7,6,3,2,4,8,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[3,2,4,6,1,8,7,5]=>[8,6,3,2,4,7,1,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[3,6,7,4,1,2,5,8]=>[1,3,6,4,7,2,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[7,4,3,8,5,1,6,2]=>[4,7,8,3,5,6,1,2]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[1,4,3,6,2,8,7,5]=>[8,6,4,3,1,7,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[2,4,8,5,3,6,1,7]=>[4,2,8,5,3,6,1,7]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[2,5,4,8,7,1,3,6]=>[2,5,8,1,4,3,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[2,8,1,4,7,6,3,5]=>[4,8,2,1,3,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[4,6,8,5,2,1,3,7]=>[2,6,4,5,8,1,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[5,3,7,6,8,1,4,2]=>[3,7,5,6,1,8,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[1,4,7,5,8,2,3,6]=>[1,4,7,2,5,3,8,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[1,6,8,4,7,3,2,5]=>[4,6,1,8,3,7,2,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[3,6,7,5,4,8,1,2]=>[1,6,7,3,5,4,8,2]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[4,5,7,2,6,3,8,1]=>[4,5,7,2,6,3,8,1]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[7,1,5,6,8,3,2,4]=>[1,5,7,3,6,8,2,4]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[5,7,4,6,8,2,1,3]=>[2,5,4,7,6,8,1,3]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[2,3,5,7,8,1,6,4]=>[5,2,3,7,1,8,6,4]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[1,5,7,4,2,3,6,8]=>[1,5,2,7,4,3,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[8,1,7,2,4,6,3,5]=>[1,8,2,4,3,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[2,3,6,8,5,7,1,4]=>[2,6,3,1,5,8,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[1,2,4,7,8,6,3,5]=>[4,7,1,2,3,8,6,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[1,3,6,2,5,8,4,7]=>[6,3,1,2,5,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[3,6,2,5,8,4,7,1]=>[6,3,2,5,4,8,7,1]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[1,5,3,6,8,2,4,7]=>[3,5,1,2,6,4,8,7]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[3,5,2,4,7,8,1,6]=>[3,2,5,4,1,7,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[8,3,5,2,4,6,1,7]=>[3,2,5,4,8,6,1,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[3,6,4,7,1,2,5,8]=>[1,3,6,4,2,7,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[5,8,1,2,6,3,7,4]=>[5,8,1,2,6,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[1,6,2,3,7,5,8,4]=>[6,7,1,5,2,3,8,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[4,1,2,6,5,7,8,3]=>[6,4,1,5,2,7,8,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[1,8,4,2,7,3,6,5]=>[8,4,1,7,6,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[2,6,1,8,3,7,4,5]=>[2,6,8,1,3,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[8,4,2,1,3,7,5,6]=>[2,8,4,1,7,3,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[2,5,1,7,6,8,3,4]=>[2,7,5,1,6,3,8,4]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[5,3,1,8,2,4,7,6]=>[8,3,5,1,2,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[1,2,6,3,7,5,8,4]=>[6,7,5,1,2,3,8,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[5,1,8,3,2,4,7,6]=>[8,3,5,1,7,2,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[2,8,5,7,3,1,4,6]=>[2,3,8,5,1,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[2,6,8,7,3,1,4,5]=>[2,3,8,6,1,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[7,4,2,1,3,8,5,6]=>[2,7,4,8,1,3,5,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[7,2,1,3,8,5,4,6]=>[2,7,8,5,1,3,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[2,1,7,3,8,6,4,5]=>[2,7,8,6,1,3,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[1,7,5,3,2,4,8,6]=>[7,3,8,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[3,4,1,6,5,7,8,2]=>[6,3,4,5,1,7,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[2,8,7,3,4,1,5,6]=>[2,3,4,8,7,1,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[5,7,6,2,3,8,1,4]=>[2,3,7,5,6,1,8,4]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[4,5,7,6,2,8,1,3]=>[2,7,4,5,6,1,8,3]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[3,1,8,7,5,2,6,4]=>[8,3,7,5,6,1,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[4,5,6,8,7,2,1,3]=>[2,8,4,5,6,7,1,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[4,8,2,1,5,3,7,6]=>[8,4,2,7,5,1,3,6]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[5,8,2,1,4,3,7,6]=>[8,5,2,4,7,1,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[3,8,4,1,5,2,7,6]=>[8,3,4,7,5,1,2,6]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[5,1,7,8,3,2,6,4]=>[5,7,1,8,6,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[1,8,6,2,4,3,7,5]=>[8,1,6,7,4,2,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[1,8,7,2,4,3,6,5]=>[8,1,7,4,6,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[5,8,2,1,6,3,7,4]=>[5,8,2,6,7,1,3,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[2,8,3,1,7,4,6,5]=>[8,2,7,3,6,1,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[4,8,2,1,7,3,6,5]=>[8,4,2,7,1,6,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[7,3,6,8,2,1,5,4]=>[7,3,2,6,8,5,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[5,8,3,1,7,2,6,4]=>[5,8,3,1,7,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[3,8,5,1,7,2,6,4]=>[5,3,8,7,1,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[7,2,6,1,5,8,4,3]=>[7,6,2,1,5,8,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[6,2,7,1,5,8,4,3]=>[6,7,2,5,1,8,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[4,8,5,1,3,2,6,7]=>[1,4,8,5,3,2,6,7]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[4,1,6,5,2,3,7,8]=>[1,6,4,5,2,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[2,6,7,4,3,1,5,8]=>[2,6,7,4,3,1,5,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[2,7,5,8,1,3,6,4]=>[7,2,1,5,8,3,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[5,1,6,7,3,2,4,8]=>[1,5,6,7,3,2,4,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[1,2,5,7,8,6,3,4]=>[1,7,5,2,3,8,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[1,2,5,8,6,4,3,7]=>[5,8,6,1,2,4,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[1,2,6,7,4,5,3,8]=>[6,1,4,2,7,5,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[1,7,2,6,8,5,3,4]=>[1,7,6,2,8,3,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,8,3,6,4,2,5,7]=>[1,6,8,3,4,2,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[7,4,2,6,5,8,1,3]=>[2,7,4,6,1,5,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[3,2,6,7,1,4,8,5]=>[6,3,2,1,7,8,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[8,6,5,2,1,7,4,3]=>[6,8,5,7,4,2,1,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[3,4,1,8,6,2,5,7]=>[3,4,8,1,6,2,5,7]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[7,4,1,8,5,3,2,6]=>[4,7,8,5,3,1,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[4,2,5,6,8,1,3,7]=>[2,4,1,5,6,3,8,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[8,3,2,4,7,1,6,5]=>[8,3,2,4,7,1,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[7,5,8,2,6,1,4,3]=>[5,2,7,8,1,6,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[5,1,8,7,6,3,2,4]=>[3,8,7,5,6,1,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[4,6,8,7,3,5,1,2]=>[1,4,8,3,6,7,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[5,2,1,4,6,3,8,7]=>[8,5,2,4,1,6,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[6,4,1,2,3,5,8,7]=>[8,1,2,4,6,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[7,4,1,2,6,5,8,3]=>[7,4,1,6,5,2,8,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[5,2,7,4,6,1,8,3]=>[5,7,2,4,6,8,1,3]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[8,2,6,3,1,4,5,7]=>[2,3,1,8,6,4,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[5,2,8,4,7,6,3,1]=>[8,5,7,2,4,6,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[7,4,1,2,3,6,8,5]=>[7,1,2,4,6,3,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[8,5,1,4,6,2,3,7]=>[1,5,2,4,8,6,3,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[8,4,6,7,3,1,5,2]=>[4,3,6,8,7,5,1,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[7,2,4,6,3,5,8,1]=>[4,2,3,7,6,5,8,1]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[5,2,3,1,7,6,4,8]=>[7,5,2,6,3,1,4,8]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[3,7,2,4,1,8,5,6]=>[3,7,2,4,8,1,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[8,5,6,1,2,7,3,4]=>[1,5,2,6,8,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[2,6,3,1,8,4,7,5]=>[6,8,2,7,3,1,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[4,5,3,8,7,2,1,6]=>[4,8,5,3,2,7,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[4,1,3,6,8,5,2,7]=>[6,4,1,3,5,8,2,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[6,2,5,7,4,8,1,3]=>[2,6,1,5,7,4,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[5,4,6,1,2,7,8,3]=>[5,1,4,6,7,2,8,3]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[4,5,3,6,1,7,8,2]=>[4,5,3,6,7,1,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[2,5,3,1,6,7,8,4]=>[5,6,2,3,1,7,8,4]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[3,1,8,4,2,7,5,6]=>[3,8,4,7,1,2,5,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[1,8,5,3,2,4,6,7]=>[3,5,1,8,2,4,6,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[1,8,7,5,3,4,2,6]=>[1,8,5,7,3,4,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[1,7,8,5,3,4,2,6]=>[1,7,3,8,5,4,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,7,6,8,4,2,3,5]=>[1,2,7,6,8,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[9,7,8,6,5,4,3,2,1]=>[7,9,8,6,5,4,3,2,1]=>[[1,8],[2],[3],[4],[5],[6],[7],[9]]=>[7,2]
[2,3,8,7,1,5,6,4]=>[8,2,3,5,1,7,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[7,2,8,6,4,1,5,3]=>[7,2,8,6,4,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[5,1,7,8,4,2,3,6]=>[1,5,2,7,8,4,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[3,8,2,1,6,7,5,4]=>[8,6,3,2,1,7,5,4]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[7,6,2,5,4,1,8,3]=>[7,6,2,5,4,8,1,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[2,8,7,1,3,4,6,5]=>[8,2,1,3,7,4,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,5,6,2,1,4,7,3]=>[5,2,6,8,4,1,7,3]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[12,10,8,6,4,2,1,3,5,7,9,11]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>[[1,3,5,7,9,11],[2,4,6,8,10,12]]=>[2,2,2,2,2,2]
[7,8,3,2,5,1,6,4]=>[7,3,2,8,5,6,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[7,8,2,4,5,6,3,1]=>[4,2,5,7,8,6,3,1]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[2,7,4,1,5,8,3,6]=>[2,7,4,5,1,3,8,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[2,1,6,4,7,8,3,5]=>[4,6,2,1,3,7,8,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[5,4,2,6,7,8,3,1]=>[5,4,6,2,7,8,3,1]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[4,7,5,3,8,2,6,1]=>[4,7,5,3,2,8,6,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[7,8,3,5,2,6,4,1]=>[5,3,7,8,6,2,4,1]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[7,8,4,5,6,1,3,2]=>[4,1,5,7,8,6,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[1,6,8,4,5,7,3,2]=>[6,4,1,5,8,7,3,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[1,5,3,8,4,6,7,2]=>[5,3,1,8,4,6,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[5,2,8,1,4,6,3,7]=>[5,2,4,1,6,8,3,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[6,5,8,3,4,2,1,7]=>[3,6,5,4,8,2,1,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[3,4,5,8,2,1,6,7]=>[3,4,5,2,1,8,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[6,8,7,3,2,1,4,5]=>[3,2,8,6,7,1,4,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[7,2,6,1,4,8,3,5]=>[2,7,1,4,6,3,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[7,8,1,2,4,6,3,5]=>[4,1,2,3,7,8,6,5]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[7,5,1,2,4,3,8,6]=>[7,8,1,2,5,4,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[7,1,5,2,4,8,6,3]=>[7,8,1,5,2,4,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[5,4,1,7,2,3,6,8]=>[1,5,4,2,7,3,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[2,8,6,7,3,4,5,1]=>[2,3,8,4,6,7,5,1]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[2,6,7,8,3,4,5,1]=>[2,3,6,4,7,8,5,1]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[4,8,7,1,2,3,5,6]=>[1,2,4,3,8,5,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[2,1,7,6,3,4,5,8]=>[2,1,7,6,3,4,5,8]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[6,1,5,3,8,2,4,7]=>[1,6,5,3,2,4,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[2,3,6,8,5,1,7,4]=>[6,5,2,3,8,7,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[2,1,3,8,4,5,7,6]=>[8,2,1,7,3,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[3,1,2,8,6,7,4,5]=>[1,8,3,6,2,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[2,1,3,8,4,7,6,5]=>[8,7,2,6,1,3,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[3,1,2,8,4,5,7,6]=>[8,1,3,7,2,4,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[1,2,8,7,5,4,6,3]=>[5,8,7,4,1,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[3,6,1,4,8,2,7,5]=>[6,3,8,1,4,2,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[2,7,1,8,4,3,6,5]=>[7,2,8,6,4,1,3,5]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[2,6,1,8,7,3,4,5]=>[2,1,8,6,3,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[2,7,1,8,6,3,4,5]=>[2,1,7,8,3,6,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[2,1,8,7,4,6,5,3]=>[8,7,2,6,4,1,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[7,2,1,8,3,5,4,6]=>[2,7,5,8,1,3,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[2,1,7,8,3,5,6,4]=>[7,2,1,5,3,8,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[2,8,5,1,6,4,3,7]=>[5,8,2,6,4,1,3,7]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[2,4,7,1,8,3,6,5]=>[7,4,2,1,8,6,3,5]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[3,7,5,4,2,6,8,1]=>[5,7,3,4,2,6,8,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[4,1,2,7,6,8,5,3]=>[7,6,4,1,8,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[8,4,1,5,7,6,3,2]=>[8,4,7,5,1,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[8,1,6,3,5,2,4,7]=>[1,3,8,2,6,5,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[5,8,4,3,6,7,2,1]=>[5,4,3,8,6,7,2,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[6,8,2,1,5,3,4,7]=>[2,6,1,5,8,3,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[2,5,3,8,6,7,4,1]=>[5,8,6,2,3,7,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[7,4,5,8,1,6,2,3]=>[1,4,5,7,8,2,6,3]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[5,4,1,7,2,3,8,6]=>[7,1,5,4,8,2,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[5,6,4,2,8,1,3,7]=>[2,5,6,4,1,3,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[4,5,3,8,1,2,6,7]=>[1,4,5,3,2,6,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[6,5,3,8,1,7,2,4]=>[3,6,5,1,8,2,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[2,6,8,7,1,3,4,5]=>[2,1,3,8,4,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[4,7,2,8,6,1,3,5]=>[2,4,7,1,8,3,6,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[4,2,8,7,6,1,3,5]=>[2,4,8,7,1,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[8,1,7,5,6,4,2,3]=>[1,8,5,2,7,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[8,6,1,5,3,7,2,4]=>[1,8,3,6,5,2,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[8,3,6,7,4,2,1,5]=>[3,6,4,8,7,2,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[2,6,3,7,8,1,4,5]=>[2,3,6,1,4,7,8,5]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[7,2,4,5,8,6,3,1]=>[7,4,2,8,5,6,3,1]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[6,3,8,4,7,2,5,1]=>[3,6,4,8,2,7,5,1]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[7,2,3,6,8,5,4,1]=>[7,6,2,3,8,5,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[7,4,5,2,8,1,6,3]=>[4,5,7,8,2,1,6,3]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[7,5,4,2,8,1,6,3]=>[5,7,4,8,2,1,6,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[7,4,5,2,8,3,6,1]=>[4,5,7,2,8,3,6,1]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[5,1,3,2,4,6,8,7]=>[8,1,5,3,2,4,6,7]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[6,4,2,5,7,3,8,1]=>[4,6,5,2,7,3,8,1]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[6,4,5,2,8,3,7,1]=>[4,6,5,2,8,3,7,1]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[6,5,2,4,3,8,7,1]=>[8,6,2,5,4,3,7,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[6,3,4,7,5,2,8,1]=>[6,3,7,4,5,2,8,1]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[2,8,3,7,6,1,5,4]=>[8,2,7,3,6,1,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[4,6,5,3,8,1,7,2]=>[6,4,5,3,8,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[6,3,4,8,1,7,5,2]=>[6,3,8,4,7,1,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[7,2,3,8,4,6,5,1]=>[7,2,8,3,6,4,5,1]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[2,4,8,7,6,1,5,3]=>[8,2,7,4,6,1,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[3,2,8,7,4,6,5,1]=>[8,3,7,6,2,4,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[5,4,2,8,3,7,6,1]=>[8,5,4,2,7,3,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[3,8,1,7,4,6,5,2]=>[8,3,7,4,1,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[8,6,2,5,1,4,3,7]=>[2,8,1,6,5,4,3,7]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[4,8,5,2,7,6,3,1]=>[8,4,7,5,6,2,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[5,8,6,2,7,1,3,4]=>[2,1,5,8,6,3,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[3,8,2,7,4,1,6,5]=>[8,3,7,2,4,6,1,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[2,8,6,5,7,1,3,4]=>[2,1,6,8,3,5,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[3,7,8,6,2,5,4,1]=>[7,3,8,2,6,5,4,1]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[3,8,4,7,2,1,6,5]=>[8,3,4,7,2,6,1,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[5,3,8,1,6,4,7,2]=>[5,3,8,6,1,4,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[5,8,1,7,6,2,3,4]=>[1,2,8,5,7,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[1,4,8,6,5,2,3,7]=>[1,6,8,4,2,5,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[7,6,2,8,5,4,3,1]=>[7,6,8,5,4,2,3,1]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[1,7,5,2,6,8,3,4]=>[1,5,7,6,2,3,8,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[4,6,8,7,1,2,3,5]=>[1,2,4,8,3,6,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[7,8,6,1,2,4,3,5]=>[1,7,2,4,8,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[1,7,4,8,2,6,3,5]=>[4,1,7,8,2,3,6,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[6,4,8,5,1,7,2,3]=>[1,6,4,8,5,7,2,3]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[6,3,2,7,4,5,8,1]=>[3,6,7,2,4,5,8,1]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[6,2,1,8,7,3,5,4]=>[8,2,6,7,5,1,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[5,2,1,7,6,3,4,8]=>[2,7,5,6,1,3,4,8]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[4,2,6,8,5,7,1,3]=>[2,6,4,1,5,8,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[5,1,8,6,2,4,7,3]=>[5,1,8,6,4,2,7,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[1,3,4,7,8,2,6,5]=>[7,3,1,4,2,8,6,5]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[3,5,6,2,4,7,8,1]=>[3,2,5,6,4,7,8,1]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[3,5,6,7,2,4,8,1]=>[3,2,5,6,7,4,8,1]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[3,5,4,7,2,6,8,1]=>[5,3,4,2,7,6,8,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[3,4,5,7,2,6,8,1]=>[3,4,5,2,7,6,8,1]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[3,4,5,7,2,8,6,1]=>[7,3,4,5,8,2,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[3,2,5,7,4,8,6,1]=>[7,5,3,2,8,4,6,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[3,5,7,4,2,8,6,1]=>[7,5,3,8,4,2,6,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[3,5,2,7,8,6,4,1]=>[7,5,3,8,2,6,4,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,5,7,8,6,2,4,1]=>[3,7,2,5,8,6,4,1]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[4,2,5,6,7,3,8,1]=>[4,5,2,6,7,3,8,1]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[8,6,1,4,3,5,2,7]=>[1,8,4,6,3,5,2,7]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[8,1,4,2,5,3,6,7]=>[1,4,8,5,2,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[8,4,1,3,5,2,6,7]=>[4,1,3,5,8,2,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[3,1,8,2,5,4,6,7]=>[3,1,8,5,2,4,6,7]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[4,2,5,1,8,7,6,3]=>[8,7,4,5,2,6,1,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[5,2,4,8,1,7,6,3]=>[8,5,2,4,7,1,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[1,4,8,6,7,2,5,3]=>[8,1,4,6,2,7,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[1,4,5,7,3,8,2,6]=>[4,5,1,3,7,2,8,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[3,5,6,8,2,1,4,7]=>[3,2,5,6,1,8,4,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[8,2,5,4,1,3,7,6]=>[8,2,1,7,5,4,3,6]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[5,4,8,2,3,1,7,6]=>[8,2,5,4,3,7,1,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[4,6,7,5,1,8,3,2]=>[6,4,7,5,8,3,1,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[1,7,3,6,5,8,2,4]=>[1,7,6,3,2,5,8,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[8,3,4,2,6,7,1,5]=>[3,4,2,1,8,6,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[7,5,3,8,6,2,1,4]=>[3,7,8,5,2,6,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[7,3,1,8,2,6,5,4]=>[7,8,3,6,1,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[4,6,7,5,2,8,3,1]=>[6,4,7,5,8,2,3,1]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[5,8,7,2,4,3,1,6]=>[2,8,5,4,7,3,1,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[5,1,2,8,6,7,3,4]=>[1,8,2,5,6,3,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[2,5,7,8,6,1,4,3]=>[7,2,5,1,8,6,4,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[5,1,7,6,8,2,3,4]=>[1,2,7,5,6,3,8,4]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[5,4,7,1,6,8,2,3]=>[1,5,4,7,2,6,8,3]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[4,6,7,2,1,5,3,8]=>[4,6,2,7,5,1,3,8]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[8,7,1,5,4,3,2,6]=>[5,8,7,1,4,3,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[1,7,6,2,4,3,8,5]=>[7,6,1,8,4,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[5,7,1,6,2,3,4,8]=>[1,2,5,7,3,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[2,3,6,7,4,5,1,8]=>[2,6,3,4,7,5,1,8]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[8,2,1,4,3,5,6,7]=>[2,4,1,8,3,5,6,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[6,2,5,8,3,4,1,7]=>[2,6,3,5,4,8,1,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[5,6,8,7,1,3,2,4]=>[1,8,3,5,6,7,2,4]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[6,4,1,3,5,2,8,7]=>[8,4,1,6,3,5,2,7]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[7,6,1,4,5,8,2,3]=>[1,4,2,7,6,5,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[1,5,3,4,8,2,6,7]=>[5,1,3,4,2,6,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[8,1,3,4,2,5,6,7]=>[3,1,4,2,5,8,6,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[7,6,8,5,2,4,1,3]=>[2,1,7,6,8,5,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[5,1,2,8,6,3,7,4]=>[5,8,6,1,7,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[4,1,8,2,6,5,7,3]=>[4,8,6,1,5,2,7,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[6,1,4,7,8,5,3,2]=>[6,7,4,1,8,5,3,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[6,1,5,7,8,4,2,3]=>[1,6,5,2,7,8,4,3]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[2,5,8,4,6,3,7,1]=>[5,4,2,6,8,3,7,1]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[8,1,6,5,2,7,4,3]=>[6,8,5,7,1,4,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[4,5,8,2,3,7,6,1]=>[8,2,4,5,3,7,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[5,6,2,1,3,8,4,7]=>[5,2,6,1,8,3,4,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[7,1,4,8,2,5,3,6]=>[1,7,4,2,8,5,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[2,5,6,8,3,7,4,1]=>[5,6,2,8,3,7,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[6,7,8,2,3,1,5,4]=>[6,2,3,7,8,5,1,4]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[5,6,2,7,4,8,3,1]=>[5,6,7,4,2,8,3,1]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[4,3,1,8,2,6,7,5]=>[8,4,3,1,2,6,7,5]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[1,7,5,3,8,6,2,4]=>[3,7,8,5,1,2,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[4,2,5,8,1,3,7,6]=>[8,2,4,1,5,3,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[2,4,3,8,1,5,7,6]=>[8,4,2,3,1,5,7,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[8,7,3,2,5,6,4,1]=>[8,3,2,7,5,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[7,6,2,8,1,4,5,3]=>[7,2,1,6,4,8,5,3]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[2,7,8,1,4,3,6,5]=>[7,2,8,1,4,6,3,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[2,1,8,5,3,4,6,7]=>[2,5,1,8,3,4,6,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[8,4,1,3,2,5,6,7]=>[1,4,3,8,2,5,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[8,6,1,2,3,5,4,7]=>[1,8,2,3,6,5,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[7,8,1,5,2,4,6,3]=>[7,1,2,5,8,4,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[2,8,6,3,1,5,4,7]=>[2,8,6,5,3,1,4,7]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[5,7,2,8,4,1,6,3]=>[5,7,2,8,4,6,1,3]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[7,4,5,6,8,1,3,2]=>[4,1,5,7,6,8,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[7,5,1,8,4,6,3,2]=>[5,7,8,4,1,6,3,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[7,2,5,3,6,4,8,1]=>[7,2,5,6,3,4,8,1]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[7,3,1,2,6,8,4,5]=>[1,7,3,2,6,4,8,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[7,4,5,1,8,6,3,2]=>[7,4,8,5,6,3,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[2,4,8,6,1,5,3,7]=>[2,8,4,6,1,5,3,7]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[3,5,4,1,8,6,7,2]=>[5,8,3,4,6,1,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[4,3,5,8,1,6,7,2]=>[4,3,5,6,1,8,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[8,5,1,6,7,4,3,2]=>[5,8,6,7,1,4,3,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[1,7,8,5,6,4,3,2]=>[7,5,8,1,6,4,3,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[2,7,1,3,5,8,4,6]=>[2,7,1,3,5,4,8,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[2,1,8,6,4,5,3,7]=>[2,8,6,4,1,5,3,7]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[4,2,5,8,6,1,7,3]=>[4,8,5,2,6,7,1,3]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[7,5,4,6,8,1,3,2]=>[5,1,7,4,6,8,3,2]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[7,1,8,5,6,4,3,2]=>[7,8,5,1,6,4,3,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[6,8,1,5,7,4,3,2]=>[6,5,8,1,7,4,3,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[8,6,1,5,7,4,3,2]=>[6,8,5,1,7,4,3,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[5,7,8,1,6,4,3,2]=>[5,7,8,6,1,4,3,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[7,1,2,4,8,5,3,6]=>[1,7,8,2,4,5,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[5,8,1,7,2,3,6,4]=>[5,1,8,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[5,3,6,4,2,1,8,7]=>[8,5,6,3,4,2,1,7]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[6,5,7,4,1,8,3,2]=>[6,5,7,4,8,3,1,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[8,3,6,7,1,4,5,2]=>[3,4,1,6,8,7,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[8,6,5,7,1,3,4,2]=>[3,1,6,8,5,7,4,2]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[8,4,1,3,6,7,2,5]=>[4,1,3,2,8,6,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[6,4,3,8,5,2,7,1]=>[6,4,8,3,5,2,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[1,6,5,3,8,4,7,2]=>[6,5,8,1,3,4,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[6,2,5,3,4,8,1,7]=>[2,6,3,5,4,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[2,6,5,3,4,8,1,7]=>[2,6,5,3,4,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[5,1,3,4,8,7,2,6]=>[3,8,1,5,4,2,7,6]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[1,5,3,4,8,7,2,6]=>[5,8,1,3,4,2,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[2,4,6,1,5,7,8,3]=>[4,2,6,1,5,7,8,3]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[2,5,3,6,4,1,8,7]=>[8,5,6,2,3,4,1,7]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[6,2,5,3,1,7,8,4]=>[6,5,2,7,3,1,8,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[2,6,3,1,7,5,8,4]=>[6,7,5,2,3,1,8,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[2,3,6,5,8,4,1,7]=>[6,5,2,3,4,8,1,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[2,3,1,7,4,8,6,5]=>[7,8,6,2,3,1,4,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[5,2,3,1,8,6,4,7]=>[5,8,2,6,3,1,4,7]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[4,7,5,1,3,2,8,6]=>[7,8,1,4,5,3,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[2,8,6,3,7,4,1,5]=>[2,6,8,7,3,4,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[2,3,8,7,6,4,1,5]=>[2,8,7,6,3,4,1,5]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[2,7,8,3,1,6,5,4]=>[7,8,2,6,3,5,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[1,8,3,5,4,6,2,7]=>[1,8,5,3,4,6,2,7]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[2,3,1,6,4,8,7,5]=>[8,6,7,2,3,1,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[1,8,3,6,4,2,7,5]=>[6,8,7,1,3,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[8,2,3,1,4,7,6,5]=>[8,7,2,3,1,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,5,2,3,1,4,7,6]=>[8,2,3,5,7,1,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,2,1,6,3,5,4,7]=>[2,8,6,1,5,3,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[8,2,1,7,3,6,4,5]=>[2,8,1,7,3,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,1,7,3,2,5,4,6]=>[1,8,5,7,3,2,4,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[8,1,6,2,5,4,3,7]=>[6,8,1,5,2,4,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[7,8,5,2,6,4,3,1]=>[5,7,8,6,4,2,3,1]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[4,2,7,5,1,3,6,8]=>[2,4,7,1,5,3,6,8]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[4,2,8,1,3,6,7,5]=>[6,2,4,1,3,8,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[8,1,2,5,7,4,6,3]=>[5,4,1,2,8,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[1,7,4,6,3,5,8,2]=>[7,1,4,3,6,5,8,2]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[5,2,7,1,4,8,3,6]=>[5,2,1,7,4,3,8,6]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[5,2,7,3,6,1,4,8]=>[2,5,3,7,1,6,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[7,4,6,3,1,2,5,8]=>[1,4,3,7,6,2,5,8]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[6,4,8,3,1,2,5,7]=>[1,4,6,3,2,8,5,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[7,4,6,1,2,5,8,3]=>[4,1,7,2,6,5,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[8,2,5,3,6,1,4,7]=>[2,3,5,8,1,6,4,7]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[5,8,3,4,1,2,7,6]=>[8,1,3,5,4,7,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[5,2,4,8,3,7,1,6]=>[5,2,4,3,1,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[3,5,8,4,7,1,2,6]=>[1,5,3,4,2,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[4,2,1,7,6,5,3,8]=>[7,6,4,5,2,1,3,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[3,7,5,1,4,6,2,8]=>[3,7,1,5,4,6,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[8,7,5,6,2,4,3,1]=>[5,2,8,7,6,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[7,8,5,2,3,1,6,4]=>[5,2,7,8,6,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[6,8,7,4,1,5,2,3]=>[1,4,8,6,7,5,2,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[5,2,7,3,1,4,8,6]=>[7,2,5,8,3,1,4,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[8,7,4,1,3,6,2,5]=>[4,1,3,8,7,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[8,2,5,3,7,6,1,4]=>[2,8,3,7,5,1,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[8,6,4,7,5,1,3,2]=>[6,1,8,7,4,5,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[6,1,2,4,7,8,3,5]=>[1,6,2,4,3,7,8,5]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[4,6,7,5,2,3,8,1]=>[2,6,4,7,5,3,8,1]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[4,6,2,7,5,3,8,1]=>[6,4,7,5,2,3,8,1]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[4,2,6,7,8,5,3,1]=>[6,4,7,2,8,5,3,1]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[6,2,4,7,8,5,3,1]=>[6,7,2,4,8,5,3,1]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[6,7,4,5,2,8,3,1]=>[4,6,7,5,8,2,3,1]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[3,5,2,1,7,8,6,4]=>[7,5,3,8,2,1,6,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,4,1,8,7,5,6,2]=>[3,8,7,4,5,1,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[4,2,7,8,6,5,1,3]=>[2,7,8,4,1,6,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[1,2,7,8,6,4,5,3]=>[7,1,8,4,2,6,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[3,1,8,6,5,2,4,7]=>[3,6,8,1,5,2,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[4,8,1,2,6,5,3,7]=>[4,8,1,6,2,5,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[4,7,1,6,2,8,3,5]=>[4,1,7,6,2,8,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[8,1,5,2,3,6,7,4]=>[5,1,2,8,6,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[8,2,1,5,3,4,7,6]=>[8,2,1,7,5,3,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[6,4,8,1,2,3,7,5]=>[6,1,2,8,4,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[8,6,7,1,2,3,5,4]=>[6,1,2,3,8,7,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[6,7,1,2,3,8,5,4]=>[6,7,1,2,8,5,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[8,1,7,5,2,3,6,4]=>[8,1,2,7,5,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[7,4,1,3,6,8,5,2]=>[7,4,1,6,3,8,5,2]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[7,1,8,3,2,6,5,4]=>[7,8,3,6,5,1,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[1,2,4,8,3,7,5,6]=>[4,8,1,2,3,5,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[7,3,4,2,5,1,8,6]=>[7,3,4,8,2,5,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[7,2,5,1,6,4,3,8]=>[5,7,2,6,4,1,3,8]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[6,3,8,5,7,1,4,2]=>[3,6,8,1,5,7,4,2]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[2,8,3,1,4,6,5,7]=>[2,8,3,6,1,4,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[2,3,7,4,8,6,5,1]=>[7,8,6,2,3,4,5,1]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[3,6,5,2,7,4,1,8]=>[6,5,3,7,2,4,1,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[7,4,3,6,8,2,1,5]=>[4,3,7,2,6,8,1,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[3,8,5,4,7,6,1,2]=>[1,8,5,7,3,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[3,2,8,5,1,4,6,7]=>[3,2,1,8,5,4,6,7]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[5,3,8,1,4,2,6,7]=>[3,5,1,4,8,2,6,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[5,3,8,1,4,2,7,6]=>[8,3,5,1,7,4,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[8,5,7,6,3,4,1,2]=>[1,3,8,5,7,6,4,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[6,4,5,3,1,7,8,2]=>[4,6,5,3,7,1,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[4,1,3,5,2,6,8,7]=>[8,4,1,3,5,2,6,7]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[4,3,7,6,1,8,2,5]=>[4,7,3,1,6,8,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[5,1,7,6,2,3,4,8]=>[1,2,7,5,6,3,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[6,1,2,5,7,8,3,4]=>[1,6,2,3,5,7,8,4]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[6,4,3,1,8,5,7,2]=>[6,4,8,3,5,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[4,2,5,3,1,6,8,7]=>[8,4,5,2,3,1,6,7]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[1,2,7,6,4,3,8,5]=>[7,6,8,4,1,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[2,1,7,6,4,5,3,8]=>[7,2,6,4,1,5,3,8]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[1,4,7,6,8,5,2,3]=>[1,7,6,4,2,8,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[2,5,6,7,8,9,1,3,4]=>[2,1,3,5,6,7,8,9,4]=>[[1,3,4,6,7,8,9],[2,5]]=>[2,3,4]
[2,5,6,3,4,1,8,7]=>[8,2,5,3,6,4,1,7]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[4,6,2,1,5,8,3,7]=>[4,6,2,5,1,3,8,7]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[2,3,5,8,7,4,1,6]=>[5,8,2,3,4,7,1,6]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[2,3,7,8,6,4,1,5]=>[2,7,8,3,4,6,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[5,7,4,1,8,6,2,3]=>[1,7,5,8,4,6,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[4,5,3,7,8,1,2,6]=>[1,4,5,3,2,7,8,6]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[1,5,8,7,3,6,4,2]=>[5,8,7,3,1,6,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[8,6,1,5,7,4,2,3]=>[1,6,8,2,5,7,4,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[1,7,4,5,8,3,6,2]=>[7,1,4,5,3,8,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[7,3,6,1,8,5,2,4]=>[3,7,1,6,8,5,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[2,8,5,6,3,1,4,7]=>[2,3,8,5,6,1,4,7]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[2,3,6,8,7,4,1,5]=>[2,8,6,3,4,7,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[2,5,8,1,3,6,7,4]=>[5,2,1,6,3,8,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[4,8,2,6,1,5,7,3]=>[4,6,2,1,8,5,7,3]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[2,3,7,8,1,5,4,6]=>[2,7,3,1,5,8,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[2,5,8,1,3,7,4,6]=>[5,2,1,3,8,4,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[5,6,2,7,8,3,1,4]=>[2,5,6,7,3,8,1,4]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[7,4,2,8,3,5,6,1]=>[4,2,7,3,8,5,6,1]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[7,8,4,1,2,5,6,3]=>[4,1,7,2,8,5,6,3]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[2,6,8,4,3,1,5,7]=>[2,6,4,8,3,1,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,3,7,5,8,4,6,1]=>[5,7,2,3,4,8,6,1]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[5,6,7,2,8,1,4,3]=>[5,2,6,7,8,1,4,3]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[2,5,6,7,1,8,4,3]=>[5,6,2,7,8,4,1,3]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[8,5,3,6,4,2,1,7]=>[5,6,8,3,4,2,1,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[2,3,7,4,8,5,6,1]=>[2,7,8,3,4,5,6,1]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[7,3,8,5,4,2,6,1]=>[5,7,8,3,4,2,6,1]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[7,5,8,1,2,3,6,4]=>[5,1,2,7,8,3,6,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[5,1,4,8,7,3,6,2]=>[5,8,4,1,3,7,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[4,3,1,8,7,5,6,2]=>[4,8,7,3,5,1,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[4,3,2,7,6,1,5,8]=>[4,7,3,2,1,6,5,8]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[1,3,7,6,2,4,8,5]=>[7,3,6,1,2,8,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[1,3,8,2,7,4,6,5]=>[8,3,7,1,2,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,2,7,1,6,4,3,5]=>[2,8,7,1,4,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[1,6,5,3,2,4,8,7]=>[8,3,6,5,1,2,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[1,7,3,5,2,4,8,6]=>[7,1,8,3,2,5,4,6]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[5,1,4,3,2,6,8,7]=>[8,5,4,1,3,2,6,7]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[8,3,7,5,4,2,6,1]=>[3,8,7,5,4,2,6,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[8,5,4,6,2,7,3,1]=>[5,4,8,6,7,2,3,1]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[5,3,1,7,6,4,8,2]=>[7,5,6,3,4,1,8,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[1,6,8,7,5,2,3,4]=>[1,2,8,6,7,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[2,5,3,4,8,7,1,6]=>[2,8,5,3,4,1,7,6]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[6,5,4,8,2,3,7,1]=>[2,6,5,4,3,8,7,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[4,3,6,1,8,5,2,7]=>[6,4,3,5,8,1,2,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[2,7,3,5,6,8,4,1]=>[7,2,3,5,6,8,4,1]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[1,3,6,2,5,4,8,7]=>[8,6,3,1,2,5,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[1,4,8,6,2,5,3,7]=>[4,6,8,1,2,5,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[1,2,7,3,8,4,9,5,10,6]=>[7,8,9,10,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>[7,3]
[4,6,7,5,1,3,8,2]=>[6,1,4,7,5,3,8,2]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[3,6,5,1,4,7,8,2]=>[3,6,5,1,4,7,8,2]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[2,5,8,1,6,7,4,3]=>[5,6,2,8,1,7,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[6,2,4,7,5,3,1,8]=>[6,7,2,4,5,3,1,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[6,2,5,1,8,7,3,4]=>[2,8,6,1,5,7,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[5,1,8,7,6,4,2,3]=>[1,8,7,5,6,4,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[4,2,3,6,7,5,1,8]=>[6,2,4,3,7,5,1,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[6,2,3,5,7,4,1,8]=>[6,2,3,5,7,4,1,8]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[1,5,3,8,6,2,4,7]=>[3,5,8,1,2,6,4,7]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[8,1,2,4,7,5,3,6]=>[4,8,1,2,5,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[8,5,1,2,4,7,3,6]=>[5,1,2,4,8,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[5,1,8,2,4,7,3,6]=>[5,1,2,8,4,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[1,6,3,8,4,7,2,5]=>[1,6,8,3,4,2,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[6,1,8,3,5,2,4,7]=>[1,6,3,2,8,5,4,7]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[8,5,7,1,4,2,3,6]=>[1,5,2,4,8,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[7,5,8,1,4,2,3,6]=>[1,2,7,5,4,8,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[7,2,4,8,5,1,3,6]=>[2,1,7,4,8,5,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[8,2,4,7,5,1,3,6]=>[2,1,8,4,5,7,3,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[1,3,4,8,5,6,2,7]=>[1,8,3,4,5,6,2,7]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[8,1,3,4,5,7,2,6]=>[3,1,4,5,2,8,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[5,2,1,4,8,7,3,6]=>[5,8,2,4,1,3,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[7,2,4,8,1,6,3,5]=>[4,2,1,7,8,3,6,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[1,5,4,6,7,2,8,3]=>[5,4,6,1,7,8,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[4,3,5,6,1,7,2,8]=>[4,3,5,6,7,1,2,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[1,7,2,3,8,5,6,4]=>[7,1,8,2,5,3,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[1,3,8,5,6,7,2,4]=>[3,1,2,8,5,6,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[8,1,4,7,5,6,3,2]=>[8,4,1,5,7,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[1,4,2,5,7,8,6,3]=>[7,4,5,1,2,8,6,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[2,8,7,1,5,4,6,3]=>[8,2,7,1,5,4,6,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[7,2,8,1,3,5,6,4]=>[7,2,1,3,5,8,6,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[5,2,3,1,8,7,6,4]=>[8,7,5,2,6,3,1,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[6,1,7,3,5,2,4,8]=>[1,6,3,7,2,5,4,8]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[6,7,2,5,3,4,8,1]=>[2,6,3,7,5,4,8,1]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[1,8,5,3,7,6,4,2]=>[8,5,7,6,3,1,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[2,5,4,7,3,1,8,6]=>[7,5,4,2,8,3,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[4,6,3,1,2,5,7,8]=>[1,4,3,6,2,5,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[7,4,6,8,3,1,2,5]=>[1,4,3,7,6,8,2,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[1,5,6,3,4,2,8,7]=>[8,5,1,3,6,4,2,7]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[2,5,6,4,8,1,3,7]=>[2,5,1,6,4,3,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[5,1,6,3,7,2,4,8]=>[3,5,6,1,2,7,4,8]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[5,4,1,6,2,3,7,8]=>[1,5,4,6,2,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[5,1,4,6,2,3,7,8]=>[1,5,2,4,6,3,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[7,1,3,2,6,4,5,8]=>[1,7,3,6,2,4,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[5,2,4,7,3,1,6,8]=>[5,2,4,3,7,1,6,8]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[5,4,6,2,1,7,3,8]=>[5,4,6,7,2,1,3,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,1,7,2,4,3,6,8]=>[5,1,4,7,2,3,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[2,5,6,8,3,1,4,7]=>[2,5,3,6,1,8,4,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[8,5,6,2,7,4,1,3]=>[2,5,6,8,7,1,4,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[6,3,4,7,8,5,1,2]=>[1,6,3,7,4,8,5,2]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[6,3,8,5,1,4,7,2]=>[3,6,8,1,5,4,7,2]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[8,2,7,4,1,6,3,5]=>[2,8,4,1,7,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[5,7,3,4,8,6,2,1]=>[7,3,5,8,4,6,2,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[5,3,1,4,6,8,7,2]=>[8,3,5,4,1,6,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[8,2,4,5,6,1,7,3]=>[4,2,5,6,8,7,1,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[8,2,6,5,7,3,1,4]=>[2,8,3,6,5,7,1,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[2,3,7,1,6,8,4,5]=>[2,7,3,1,4,6,8,5]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[8,2,4,5,3,7,1,6]=>[4,2,5,3,8,1,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[4,3,1,5,6,2,7,8]=>[4,3,5,1,6,2,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[5,8,7,3,1,2,4,6]=>[1,3,5,8,2,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[2,7,8,1,4,5,3,6]=>[4,2,1,5,7,8,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[2,5,6,3,8,7,1,4]=>[2,8,5,3,6,1,7,4]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[7,3,4,1,2,6,8,5]=>[7,1,3,4,6,2,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[3,8,2,7,4,5,1,6]=>[3,2,8,4,5,7,1,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[8,2,6,1,3,5,4,7]=>[2,8,1,3,6,5,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[8,4,3,7,2,5,6,1]=>[4,3,2,8,5,7,6,1]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[8,2,4,5,1,7,3,6]=>[4,2,5,1,8,7,3,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[6,8,2,4,5,1,7,3]=>[4,2,6,5,8,7,1,3]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[8,4,3,7,1,5,6,2]=>[4,3,8,1,5,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[8,7,3,6,1,2,5,4]=>[8,1,3,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[8,7,2,3,6,1,5,4]=>[8,2,3,1,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[5,1,8,4,2,3,7,6]=>[8,1,5,4,7,2,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[8,2,4,7,3,1,6,5]=>[8,4,2,3,7,6,1,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[8,2,7,6,3,1,4,5]=>[2,3,8,7,1,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,5,7,2,6,3,1,4]=>[2,5,8,3,7,6,1,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[5,8,2,7,3,1,6,4]=>[5,8,2,7,3,6,1,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[8,2,4,7,6,5,1,3]=>[2,8,7,1,4,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[8,4,7,2,3,6,5,1]=>[8,2,4,3,7,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[8,2,4,7,3,6,5,1]=>[8,4,2,3,7,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[8,1,7,6,4,5,2,3]=>[1,8,2,7,4,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[8,1,4,7,3,6,5,2]=>[8,4,3,1,7,6,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[2,3,1,9,8,7,6,5,4]=>[9,8,7,6,5,2,3,1,4]=>[[1,3,4],[2],[5],[6],[7],[8],[9]]=>[2,7]
[6,7,5,4,3,2,1,9,8]=>[9,6,7,5,4,3,2,1,8]=>[[1,7,8],[2],[3],[4],[5],[6],[9]]=>[6,3]
[2,5,1,8,7,3,6,4]=>[5,8,7,2,1,6,3,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[4,2,1,8,7,3,6,5]=>[8,4,7,2,6,1,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[1,4,8,5,2,7,6,3]=>[8,4,7,5,1,6,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[1,8,2,4,7,5,6,3]=>[8,1,4,2,7,5,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[1,3,8,4,7,5,6,2]=>[8,1,3,7,4,5,6,2]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[2,3,8,4,7,1,6,5]=>[8,2,3,7,4,1,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[1,8,2,3,5,6,4,7]=>[1,8,2,3,5,6,4,7]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[1,6,7,4,2,3,5,8]=>[1,2,6,7,4,3,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[1,7,2,3,5,6,4,8]=>[7,1,2,3,5,6,4,8]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[1,4,7,6,2,3,5,8]=>[1,4,7,2,3,6,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[1,8,6,2,3,5,4,7]=>[1,8,2,6,5,3,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[1,8,2,3,7,6,4,5]=>[1,8,7,2,3,6,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[1,8,2,3,5,4,7,6]=>[8,1,7,2,5,3,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[7,3,8,6,2,1,5,4]=>[7,3,8,6,2,5,1,4]=>[[1,4],[2,5],[3,6],[7,8]]=>[3,4,1]
[2,1,3,6,8,5,4,7]=>[6,2,8,1,3,5,4,7]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[5,8,2,3,7,4,1,6]=>[5,2,3,8,4,7,1,6]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[1,3,6,2,8,5,4,7]=>[6,3,8,1,5,2,4,7]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[1,3,5,6,4,8,2,7]=>[5,3,1,6,4,2,8,7]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[5,8,3,1,4,6,2,7]=>[3,5,1,8,4,6,2,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[4,3,7,1,2,8,6,5]=>[7,8,1,4,3,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[5,4,3,7,2,1,8,6]=>[7,5,4,3,8,2,1,6]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[5,4,3,8,7,1,2,6]=>[1,5,8,4,3,2,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[3,1,7,8,5,2,4,6]=>[3,1,7,2,8,5,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[4,3,1,6,7,2,8,5]=>[6,4,3,7,1,8,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[5,7,4,1,3,8,2,6]=>[5,1,4,7,3,2,8,6]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[8,1,3,6,7,2,5,4]=>[6,3,1,2,8,7,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[6,5,2,4,3,8,1,7]=>[6,2,5,4,3,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[1,8,4,3,7,5,2,6]=>[4,8,3,7,1,5,2,6]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[4,6,1,8,2,7,5,3]=>[6,4,8,7,1,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[6,4,5,8,1,3,7,2]=>[4,1,6,5,3,8,7,2]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[5,3,4,1,2,6,8,7]=>[8,1,3,5,4,2,6,7]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[3,6,4,5,1,2,8,7]=>[8,1,3,6,4,5,2,7]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[3,4,8,5,6,1,2,7]=>[1,3,4,8,5,6,2,7]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[2,4,3,1,5,8,6,7]=>[4,8,2,3,1,5,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[1,7,6,2,5,4,8,3]=>[7,6,1,5,4,2,8,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[5,6,1,7,4,3,8,2]=>[5,6,7,4,3,1,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[7,4,2,1,5,6,8,3]=>[4,7,2,5,1,6,8,3]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[3,8,1,7,2,5,4,6]=>[3,8,1,2,7,5,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[3,8,4,1,2,7,5,6]=>[1,8,3,4,7,2,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[3,1,5,6,4,2,7,8]=>[5,3,6,1,4,2,7,8]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[8,2,4,1,5,7,6,3]=>[8,4,2,7,1,5,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[3,1,5,4,6,2,7,8]=>[5,3,4,1,6,2,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[8,2,1,5,4,6,3,7]=>[2,8,5,4,1,6,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,1,3,7,8,2,5,6]=>[4,1,3,2,5,7,8,6]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[1,3,7,8,2,6,4,5]=>[3,7,1,2,4,8,6,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[2,1,6,5,3,8,7,4]=>[8,6,5,7,2,1,3,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[1,3,8,5,4,7,2,6]=>[5,3,8,1,4,2,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[1,4,2,7,6,8,5,3]=>[7,6,4,8,1,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[4,2,3,5,7,8,1,6]=>[2,4,3,5,1,7,8,6]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[3,7,5,6,4,2,1,8]=>[7,3,5,6,4,2,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[1,4,6,7,5,8,2,3]=>[1,6,4,2,7,5,8,3]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[5,1,2,8,7,6,4,3]=>[8,7,5,6,1,4,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[4,6,8,5,3,7,2,1]=>[6,4,5,8,3,7,2,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[4,5,7,2,8,6,3,1]=>[7,4,5,8,6,2,3,1]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[3,7,4,5,1,6,8,2]=>[3,4,7,5,6,1,8,2]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[4,6,8,5,1,3,7,2]=>[6,1,4,5,8,3,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[3,7,4,5,2,8,6,1]=>[7,3,8,4,5,2,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[3,7,8,4,6,1,5,2]=>[3,4,7,8,1,6,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[3,4,5,6,1,7,2,9,8]=>[9,3,4,5,6,7,1,2,8]=>[[1,2,5,6,7,8],[3,4],[9]]=>[3,6]
[8,2,6,3,4,1,5,7]=>[2,3,4,8,6,1,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[7,4,6,2,1,3,8,5]=>[7,2,4,6,8,1,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[4,3,2,8,6,1,5,7]=>[4,3,8,2,1,6,5,7]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[5,7,1,8,4,3,6,2]=>[5,4,7,8,3,1,6,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[5,4,8,7,6,2,3,1]=>[2,8,7,5,4,6,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[2,3,3]
[3,6,1,5,2,4,7,8]=>[3,1,6,2,5,4,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[3,7,6,2,5,4,1,8]=>[7,3,6,2,5,4,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[8,4,5,1,2,7,6,3]=>[8,4,1,5,7,6,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[7,2,6,8,5,1,3,4]=>[2,1,7,3,6,8,5,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[8,2,3,4,1,6,7,5]=>[8,2,3,4,1,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[3,6,4,8,5,2,1,7]=>[6,3,8,4,5,2,1,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[5,3,6,2,1,4,8,7]=>[8,3,5,2,6,1,4,7]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[7,4,3,8,1,6,5,2]=>[7,4,8,3,6,1,5,2]=>[[1,2],[3,5],[4,6],[7,8]]=>[4,3,1]
[5,1,4,2,7,8,6,3]=>[7,5,4,1,8,2,6,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[2,1,7,5,8,4,3,6]=>[5,7,2,8,1,4,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[3,6,1,2,8,5,7,4]=>[6,8,1,3,2,5,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[6,5,1,4,3,8,7,2]=>[8,6,5,1,4,3,7,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[7,5,8,1,4,3,6,2]=>[7,1,5,4,8,3,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[7,2,1,6,5,8,4,3]=>[7,6,5,2,8,1,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[6,2,4,3,5,8,1,7]=>[2,6,4,3,5,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[5,2,3,8,4,7,6,1]=>[8,5,2,3,7,4,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[4,7,3,5,8,2,1,6]=>[4,3,5,7,2,8,1,6]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[2,4,7,6,3,1,8,5]=>[7,6,4,2,8,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[4,7,6,2,5,8,1,3]=>[2,4,7,1,6,5,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[7,6,3,1,5,8,2,4]=>[3,1,7,6,5,2,8,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[6,3,2,4,5,8,1,7]=>[3,2,6,4,5,1,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[2,6,4,5,8,3,1,7]=>[6,2,4,5,3,8,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[7,3,5,2,8,1,4,6]=>[3,2,5,7,1,4,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[1,5,8,7,4,2,3,6]=>[1,5,8,2,7,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[1,7,2,4,5,8,6,3]=>[7,8,1,2,4,5,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[1,3,7,2,6,4,5,8]=>[3,7,1,2,4,6,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[1,6,5,2,4,8,3,7]=>[6,1,5,4,2,3,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[1,7,3,8,4,2,5,6]=>[3,1,7,8,4,2,5,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[1,6,2,7,4,3,8,5]=>[6,7,8,4,1,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[6,4,1,5,7,2,3,8]=>[1,4,6,5,2,7,3,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[6,4,1,5,7,3,8,2]=>[4,6,5,7,1,3,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[8,1,6,3,2,7,5,4]=>[6,8,7,5,1,3,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[7,4,1,6,3,8,2,5]=>[4,3,7,6,1,2,8,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[7,5,6,2,4,8,1,3]=>[2,1,5,7,6,4,8,3]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[7,8,5,1,4,2,3,6]=>[1,2,7,5,8,4,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[1,5,7,4,3,8,6,2]=>[7,5,8,4,1,3,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[3,7,8,4,2,1,5,6]=>[3,4,7,2,8,1,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[5,6,2,3,7,4,8,1]=>[5,2,6,7,3,4,8,1]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[2,3,4,5,1,8,6,9,7]=>[8,9,2,3,4,5,1,6,7]=>[[1,3,4,5,6,7],[2,9],[8]]=>[2,6,1]
[6,5,8,3,2,7,1,4]=>[3,6,5,2,8,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[8,4,3,1,7,6,5,2]=>[8,7,4,6,3,5,1,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[1,2,7,6,4,5,3,8]=>[7,1,6,4,2,5,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[1,2,8,7,6,4,5,3]=>[8,1,7,6,4,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[1,2,8,7,5,3,4,6]=>[1,5,8,7,2,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[1,2,6,5,3,4,8,7]=>[8,1,6,5,2,3,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[1,2,7,4,5,3,6,8]=>[1,7,4,2,5,3,6,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[1,2,6,7,5,3,4,8]=>[1,6,7,2,3,5,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[3,4,5,6,7,9,1,8,2]=>[3,4,5,6,7,9,1,8,2]=>[[1,2,5,6,7,8],[3,4],[9]]=>[3,6]
[3,4,5,6,8,2,7,1]=>[3,4,5,6,2,8,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[3,4,5,6,7,8,10,1,9,2]=>[3,4,5,6,7,8,10,1,9,2]=>[[1,2,5,6,7,8,9],[3,4],[10]]=>[3,7]
[3,4,5,6,7,1,9,8,2]=>[9,3,4,5,6,7,8,1,2]=>[[1,2,5,6,7,8],[3,4],[9]]=>[3,6]
[3,7,5,2,1,6,4,8]=>[7,3,5,6,2,1,4,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[1,5,6,7,3,4,2,8]=>[5,1,3,6,7,4,2,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[5,6,7,1,4,3,2,8]=>[5,6,1,7,4,3,2,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[4,7,8,2,1,3,5,6]=>[2,4,1,3,7,8,5,6]=>[[1,3,5,6],[2,4,7,8]]=>[2,2,3,1]
[5,7,8,3,2,4,6,1]=>[3,5,2,7,8,4,6,1]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[3,5,4,1,8,2,6,7]=>[5,3,4,1,2,8,6,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[3,5,4,1,8,2,7,6]=>[8,5,3,4,1,7,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[5,7,8,2,3,1,6,4]=>[5,2,7,3,8,6,1,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[6,7,8,2,3,5,1,4]=>[2,3,1,6,7,8,5,4]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[6,7,8,2,5,1,3,4]=>[2,1,3,6,7,8,5,4]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[6,7,8,2,5,3,4,1]=>[2,6,3,7,8,5,4,1]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[1,6,7,8,2,5,4,3]=>[6,7,1,8,2,5,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[1,4,7,3,6,5,8,2]=>[7,4,3,1,6,5,8,2]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[1,3,5,8,7,2,6,4]=>[8,3,5,1,7,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[2,3,5,7,4,6,1,8]=>[5,2,3,4,7,6,1,8]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[4,1,3,8,7,5,2,6]=>[4,8,7,1,3,5,2,6]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[6,7,3,1,2,5,8,4]=>[6,1,3,7,5,2,8,4]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[6,5,8,2,1,4,7,3]=>[6,2,5,8,1,4,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[8,5,1,6,7,2,4,3]=>[5,1,8,6,2,7,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[3,6,7,2,1,5,8,4]=>[6,3,2,7,5,1,8,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[5,8,3,2,6,4,7,1]=>[5,3,8,6,2,4,7,1]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[7,2,5,6,1,3,8,4]=>[5,2,1,7,6,8,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[4,6,3,5,7,1,8,2]=>[4,3,6,5,7,8,1,2]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[4,7,3,5,2,6,8,1]=>[4,3,5,7,2,6,8,1]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[7,3,6,4,5,1,8,2]=>[3,7,4,6,5,8,1,2]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[2,3,5,4,7,1,8,6]=>[7,5,2,3,4,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[4,5,6,8,1,7,2,3]=>[1,4,5,6,8,2,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[4,5,8,2,7,3,6,1]=>[4,5,2,8,3,7,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[4,1,5,7,2,6,8,3]=>[4,5,7,1,2,6,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[1,3,7,4,2,5,8,6]=>[7,3,8,1,4,2,5,6]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[6,8,4,1,5,7,3,2]=>[4,6,8,5,1,7,3,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[8,1,6,2,3,7,5,4]=>[8,6,1,2,7,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[7,3,1,2,6,5,8,4]=>[7,6,1,3,5,2,8,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[4,5,7,3,2,1,8,6]=>[7,4,5,8,3,2,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[4,6,1,2,5,3,8,7]=>[8,4,1,6,2,5,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[2,5,6,7,3,1,4,8]=>[2,5,3,6,7,1,4,8]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[6,5,3,4,8,2,1,7]=>[3,6,5,4,2,8,1,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[6,4,8,7,3,1,2,5]=>[1,4,8,6,3,7,2,5]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[5,4,8,7,3,6,2,1]=>[5,8,4,3,7,6,2,1]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[5,8,6,3,7,4,2,1]=>[5,8,6,7,3,4,2,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[6,8,7,1,2,5,3,4]=>[1,8,2,3,6,7,5,4]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[3,4,5,1,2,6,7,8,9]=>[1,3,4,5,2,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3]]=>[3,6]
[5,2,7,6,8,3,4,1]=>[2,7,5,6,3,8,4,1]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[8,2,7,4,5,3,6,1]=>[2,8,4,5,7,3,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[7,2,8,4,5,3,6,1]=>[2,7,4,8,5,3,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[6,3,8,2,7,4,5,1]=>[3,6,8,2,4,7,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[3,2,6,8,4,5,7,1]=>[3,6,2,4,5,8,7,1]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[4,3,5,6,8,2,1,7]=>[4,3,5,6,2,8,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[2,6,5,8,7,4,1,3]=>[2,8,6,5,1,7,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[3,4,6,8,5,2,1,7]=>[6,3,4,5,8,2,1,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[1,7,8,3,6,5,4,2]=>[7,8,6,1,3,5,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[3,6,4,5,8,1,2,7]=>[1,3,6,4,5,2,8,7]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[3,8,6,5,2,1,4,7]=>[3,6,8,2,5,1,4,7]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[1,4,8,7,2,5,3,6]=>[4,1,8,7,2,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[6,8,1,7,2,4,3,5]=>[1,6,2,8,7,4,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[2,7,6,8,4,1,3,5]=>[2,1,7,6,4,8,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[6,5,8,3,2,4,1,7]=>[3,6,5,2,8,4,1,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[6,4,1,3,2,8,7,5]=>[8,6,7,1,4,3,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[6,5,2,3,8,7,4,1]=>[8,6,2,5,7,3,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[5,7,8,2,3,4,6,1]=>[2,3,5,4,7,8,6,1]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[3,7,4,5,8,6,1,2]=>[1,7,3,8,4,5,6,2]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[6,4,2,7,8,1,5,3]=>[4,6,7,2,1,8,5,3]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[2,5,1,6,3,8,7,4]=>[8,5,6,2,7,1,3,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[1,5,4,7,2,8,6,3]=>[7,5,4,8,1,6,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[3,6,4,7,1,8,2,5]=>[3,6,4,1,7,8,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[2,6,3,7,1,8,4,5]=>[2,6,7,3,1,8,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,6,4,7,3,8,1,5]=>[4,6,2,3,7,1,8,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[7,6,1,8,3,4,2,5]=>[1,7,3,6,8,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[5,6,8,2,4,7,1,3]=>[2,1,5,6,4,8,7,3]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[6,7,4,2,3,8,5,1]=>[6,2,7,8,4,3,5,1]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[5,8,7,3,2,4,6,1]=>[3,5,8,2,7,4,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[5,1,3,2,6,8,4,7]=>[5,6,1,3,2,4,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[5,7,1,4,6,8,2,3]=>[1,5,2,4,7,6,8,3]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[4,1,3,2,5,6,8,7]=>[8,4,1,3,2,5,6,7]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[6,1,4,8,3,7,5,2]=>[6,8,4,1,3,7,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[2,4,1,7,5,6,3,8]=>[7,2,4,5,1,6,3,8]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[6,2,7,4,1,8,3,5]=>[4,6,7,2,1,8,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[1,3,2,5,8,4,7,6]=>[8,5,3,1,2,4,7,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[1,4,3,7,6,2,8,5]=>[7,6,4,3,1,8,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[1,5,4,2,7,3,8,6]=>[7,5,4,8,1,2,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[1,6,2,5,7,3,8,4]=>[6,5,1,7,2,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[1,2,7,6,8,5,3,4]=>[1,7,6,8,2,3,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,4,3,8,2,5,7,6]=>[8,4,3,1,2,5,7,6]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[1,6,7,2,4,8,3,5]=>[1,6,2,7,4,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[7,2,6,4,1,8,3,5]=>[2,7,6,4,1,8,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[5,3,4,1,7,8,6,2]=>[7,3,5,4,8,1,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[4,7,6,5,8,2,3,1]=>[2,7,6,4,5,8,3,1]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[5,3,4,7,8,6,2,1]=>[7,3,5,4,8,6,2,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[2,3,8,4,5,6,1,7]=>[2,3,4,8,5,6,1,7]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[2,3,8,4,5,7,1,6]=>[2,3,4,8,5,1,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[4,3,5,7,2,8,6,1]=>[7,4,3,5,8,2,6,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[4,3,7,5,1,6,8,2]=>[4,7,3,5,6,1,8,2]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[6,1,3,8,2,4,5,7]=>[1,3,6,2,4,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[8,2,7,4,3,5,1,6]=>[2,4,8,7,3,5,1,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[1,2,6,8,4,3,5,7]=>[1,6,2,8,4,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[7,2,6,3,1,8,4,5]=>[2,7,6,3,8,1,4,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[5,8,4,1,3,7,2,6]=>[5,1,4,3,8,2,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[3,4,2,1,6,8,5,7]=>[6,3,4,2,1,5,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[8,1,3,5,6,4,7,2]=>[5,3,1,6,8,4,7,2]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[4,8,7,2,5,6,1,3]=>[2,4,1,8,5,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[5,8,6,4,7,3,2,1]=>[5,8,6,4,7,3,2,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[5,3]
[3,8,6,2,5,4,7,1]=>[3,8,6,2,5,4,7,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[3,8,4,6,5,2,7,1]=>[3,8,6,4,5,2,7,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[8,1,7,4,2,5,3,6]=>[1,8,4,7,5,2,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[8,6,4,7,1,3,5,2]=>[4,1,6,8,3,7,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[8,6,3,5,7,2,1,4]=>[3,2,6,8,5,7,1,4]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[5,8,6,2,1,4,7,3]=>[5,2,8,6,4,1,7,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[6,8,4,3,2,1,7,5]=>[6,8,4,7,3,2,1,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[2,1,8,5,4,3,7,6]=>[8,5,7,4,2,1,3,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[7,1,6,4,8,5,3,2]=>[7,6,8,4,1,5,3,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[6,2,8,5,4,1,3,7]=>[2,6,5,8,1,4,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[6,4,8,5,3,2,7,1]=>[6,4,8,5,3,2,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[3,6,1,8,5,4,2,7]=>[6,3,8,5,4,1,2,7]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[4,7,8,5,3,2,6,1]=>[4,7,5,8,3,2,6,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[3,8,5,4,2,6,7,1]=>[5,3,8,4,2,6,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[6,7,5,8,4,9,3,10,1,2]=>[1,6,7,5,8,4,9,3,10,2]=>[[1,2,7,8,9,10],[3],[4],[5],[6]]=>[6,4]
[7,5,6,3,2,8,4,1]=>[5,7,6,8,3,2,4,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[8,4,7,5,6,3,1,2]=>[1,4,8,5,7,6,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[4,6,8,5,7,3,1,2]=>[1,6,4,5,8,7,3,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[2,5,7,3,4,8,1,6]=>[2,5,3,4,7,1,8,6]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[2,7,3,5,6,1,4,8]=>[2,3,1,7,5,6,4,8]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[4,8,5,6,1,2,7,3]=>[4,1,5,8,6,7,2,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[1,7,8,5,4,6,2,3]=>[1,7,2,8,5,4,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[4,6,8,1,5,2,7,3]=>[4,6,5,1,8,7,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[5,3,8,1,2,6,7,4]=>[5,1,6,3,2,8,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[2,8,5,3,7,6,4,1]=>[8,5,7,6,2,3,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[1,6,4,2,7,8,5,3]=>[6,7,4,8,1,2,5,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[5,1,3,6,7,2,4,8]=>[1,5,3,2,6,7,4,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[3,1,4,7,5,8,6,2]=>[7,8,3,4,1,5,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[8,3,1,7,4,6,5,2]=>[8,3,7,6,1,4,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[8,2,3,6,4,1,7,5]=>[8,2,6,3,7,4,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[3,8,5,1,2,4,7,6]=>[8,1,3,2,7,5,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[1,3,6,4,8,2,7,5]=>[6,8,3,1,4,2,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[1,2,3,4,6,5,7,8,9,10]=>[6,1,2,3,4,5,7,8,9,10]=>[[1,2,3,4,5,7,8,9,10],[6]]=>[6,4]
[1,2,3,4,5,6,8,7,9,10]=>[8,1,2,3,4,5,6,7,9,10]=>[[1,2,3,4,5,6,7,9,10],[8]]=>[8,2]
[1,5,8,6,4,7,2,3]=>[1,5,8,6,2,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[5,6,2,8,1,7,3,4]=>[2,5,6,8,1,3,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[6,8,4,5,1,3,7,2]=>[4,1,6,5,8,3,7,2]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[7,3,8,1,6,2,5,4]=>[7,3,1,8,6,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[2,6,7,3,4,1,5,8]=>[2,3,6,4,7,1,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[2,5,3,1,8,4,6,7]=>[5,2,3,8,1,4,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[6,2,5,3,7,4,8,1]=>[6,5,2,7,3,4,8,1]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[8,5,4,2,6,3,7,1]=>[5,4,8,6,2,3,7,1]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[7,4,6,5,8,2,3,1]=>[2,7,4,6,5,8,3,1]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[2,6,5,7,4,1,8,3]=>[6,5,7,2,4,8,1,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[1,6,5,7,4,2,8,3]=>[6,5,7,4,1,8,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[2,3,5,7,1,8,6,4]=>[7,5,2,3,8,6,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[1,2,7,4,8,5,6,3]=>[7,1,8,4,2,5,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[1,6,7,4,8,5,2,3]=>[1,6,7,8,2,4,5,3]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[2,6,7,4,8,5,1,3]=>[2,6,7,1,8,4,5,3]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[4,7,8,5,1,3,6,2]=>[4,1,7,5,8,3,6,2]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[1,4,8,2,5,3,6,7]=>[4,1,2,8,5,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[4,6,1,3,7,2,8,5]=>[6,4,1,7,3,8,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[2,6,3,4,8,5,1,7]=>[6,2,3,8,4,5,1,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[7,6,3,4,8,5,2,1]=>[7,3,6,8,4,5,2,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[1,6,3,4,8,5,2,7]=>[6,1,8,3,4,5,2,7]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[1,7,3,4,8,5,6,2]=>[7,1,3,8,4,5,6,2]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[6,4,2,5,7,1,8,3]=>[4,6,5,2,7,8,1,3]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[2,7,5,4,6,8,1,3]=>[2,5,7,1,4,6,8,3]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[8,1,4,7,3,5,6,2]=>[4,3,1,5,8,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[8,4,6,3,2,7,5,1]=>[6,4,8,7,3,2,5,1]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[6,8,4,5,3,2,7,1]=>[4,6,5,8,3,2,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[4,6,1,5,3,7,8,2]=>[4,6,5,1,3,7,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[4,3,6,8,5,2,1,7]=>[6,4,3,5,8,2,1,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[3,6,5,8,1,7,4,2]=>[6,5,3,8,7,1,4,2]=>[[1,2],[3,4],[5,7],[6,8]]=>[3,3,2]
[4,1,6,8,5,2,3,7]=>[1,6,4,2,8,5,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[4,5,2,8,6,7,1,3]=>[2,4,8,5,1,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[4,5,2,8,6,7,3,1]=>[4,8,5,6,2,7,3,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[3,5,8,6,2,4,7,1]=>[3,2,8,5,6,4,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[4,5,2,1,3,8,6,7]=>[2,8,4,5,1,3,6,7]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[6,8,5,2,4,7,1,3]=>[2,1,6,5,8,4,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[6,4,1,3,7,8,2,5]=>[1,6,4,3,2,7,8,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[4,3,7,8,1,5,6,2]=>[4,3,5,1,7,8,6,2]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[6,3,1,2,5,4,8,7]=>[8,6,1,3,5,2,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[8,2,6,4,1,3,7,5]=>[8,2,1,6,7,4,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[1,5,8,2,4,3,7,6]=>[8,5,1,2,7,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[6,2,5,3,1,4,8,7]=>[8,2,6,3,5,1,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[3,2,6,4,1,5,8,7]=>[8,3,6,2,4,1,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[3,2,7,4,1,5,8,6]=>[7,3,8,2,4,1,5,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[4,2,7,3,1,5,8,6]=>[7,4,2,8,3,1,5,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[6,2,7,3,1,4,8,5]=>[6,2,7,8,3,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[1,4,8,5,7,2,3,6]=>[1,2,8,4,5,3,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[1,8,7,3,2,4,5,6]=>[3,1,2,8,7,4,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[5,1,6,7,8,3,2,4]=>[1,5,6,7,3,8,2,4]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[8,6,1,7,3,4,5,2]=>[3,1,6,8,7,4,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[6,8,5,1,7,4,2,3]=>[1,6,5,8,7,4,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[8,4,2,3,5,7,6,1]=>[8,2,4,3,7,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[4,8,5,2,3,1,6,7]=>[2,4,5,8,3,1,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[8,4,2,6,7,1,5,3]=>[4,8,2,1,6,7,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[1,7,8,3,6,5,2,4]=>[1,7,8,3,2,6,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[4,6,7,5,1,8,2,3]=>[1,6,4,7,5,8,2,3]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[6,4,2,3,7,5,8,1]=>[6,2,7,4,3,5,8,1]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[6,3,7,5,1,2,8,4]=>[6,1,7,5,3,8,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[6,2,3,8,7,4,5,1]=>[2,8,6,3,7,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[3,5,8,1,2,7,6,4]=>[8,5,1,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[1,4,3,6,8,5,2,7]=>[6,4,3,1,5,8,2,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[8,3,7,5,1,6,2,4]=>[3,1,8,5,7,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[8,5,7,1,4,2,6,3]=>[5,4,1,8,7,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[4,8,2,5,6,3,7,1]=>[4,5,2,6,8,3,7,1]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[4,5,7,1,6,3,8,2]=>[4,5,7,6,1,3,8,2]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[2,7,1,5,6,8,4,3]=>[5,7,2,1,6,8,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[2,3,1,8,7,4,6,5]=>[8,2,7,6,3,1,4,5]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[1,2,9,8,7,6,5,3,4]=>[1,9,8,7,6,5,2,3,4]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>[9]
[4,6,5,7,2,3,8,1]=>[2,6,4,5,7,3,8,1]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[4,6,7,3,2,8,1,5]=>[4,3,6,7,2,1,8,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[5,6,2,8,3,4,7,1]=>[2,5,6,3,8,4,7,1]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[3,7,4,8,1,6,5,2]=>[7,3,8,4,6,1,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[5,2,6,7,8,1,4,3]=>[5,2,6,1,7,8,4,3]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[3,2,4,7,8,1,6,5]=>[7,3,2,4,1,8,6,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[4,5,7,6,2,3,1,8]=>[2,7,4,5,6,3,1,8]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[4,8,2,7,5,3,1,6]=>[4,8,2,7,5,3,1,6]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[3,5,2,1,4,7,8,6]=>[7,3,2,5,1,4,8,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[3,5,8,1,7,4,2,6]=>[5,3,1,8,7,4,2,6]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[5,7,8,1,2,3,6,4]=>[5,1,2,7,3,8,6,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[4,7,3,2,6,5,8,1]=>[7,4,3,6,2,5,8,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[5,8,6,1,7,2,3,4]=>[1,2,5,8,6,7,3,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[6,1,4,8,2,5,7,3]=>[6,1,4,5,2,8,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[4,8,3,7,2,6,5,1]=>[8,4,3,2,7,6,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[3,8,6,7,5,2,4,1]=>[3,8,2,6,7,5,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[8,2,5,4,7,3,6,1]=>[2,8,5,4,3,7,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[4,2,8,7,3,6,5,1]=>[8,4,7,2,6,3,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[3,7,8,6,1,4,5,2]=>[3,7,1,4,8,6,5,2]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[4,6,7,8,2,1,5,3]=>[4,6,2,7,8,5,1,3]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[3,7,1,4,8,2,5,6]=>[3,1,4,7,2,5,8,6]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,1]
[3,8,1,4,6,2,5,7]=>[3,4,1,2,6,8,5,7]=>[[1,2,5,7],[3,4,6,8]]=>[3,3,2]
[8,7,5,1,6,3,2,4]=>[3,5,8,7,6,1,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[7,8,6,2,3,5,1,4]=>[2,3,1,7,8,6,5,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[4,7,8,6,5,1,3,2]=>[7,1,8,4,6,5,3,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[7,8,4,6,3,5,2,1]=>[4,3,7,8,6,5,2,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[6,8,4,7,3,5,2,1]=>[4,6,3,8,7,5,2,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[7,4,5,8,3,6,2,1]=>[4,5,7,3,8,6,2,1]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[3,6,4,2,8,1,7,5]=>[6,8,3,4,2,1,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[2,1,6,5,3,4,7,8]=>[2,6,5,1,3,4,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[4,2,6,5,3,7,8,1]=>[6,4,5,2,3,7,8,1]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[6,7,2,3,5,4,1,8]=>[6,2,3,7,5,4,1,8]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[6,7,8,3,5,4,1,2]=>[1,6,3,7,8,5,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[5,2,1,7,8,6,4,3]=>[7,5,8,6,2,1,4,3]=>[[1,3],[2,4],[5,6],[7,8]]=>[2,3,2,1]
[4,5,1,7,6,8,3,2]=>[7,4,5,6,8,1,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[8,3,4,7,6,5,1,2]=>[1,8,7,3,4,6,5,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[8,2,4,7,6,1,5,3]=>[8,2,4,7,1,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[8,3,2,4,1,6,7,5]=>[8,3,2,4,6,1,7,5]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[6,8,7,4,2,3,1,5]=>[2,4,8,6,7,3,1,5]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[3,1,8,7,4,2,5,6]=>[3,4,8,7,1,2,5,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[8,4,6,2,1,7,3,5]=>[4,2,6,8,7,1,3,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[4,3,1,2,7,5,8,6]=>[7,8,1,4,3,2,5,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[3,8,6,2,1,7,4,5]=>[3,8,2,6,7,1,4,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[8,1,7,6,2,5,4,3]=>[8,7,1,6,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[8,5,4,3,7,6,1,2]=>[1,8,5,7,4,3,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[4,8,1,3,6,7,5,2]=>[6,4,1,3,8,7,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[3,5,8,6,1,7,4,2]=>[8,3,5,6,7,4,1,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[4,1,6,7,8,5,3,2]=>[6,4,7,8,1,5,3,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[5,6,7,1,3,4,8,2]=>[3,1,5,6,7,4,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[6,5,1,2,7,3,4,8]=>[1,6,2,5,7,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[5,8,3,7,6,1,2,4]=>[1,3,8,5,2,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[6,8,7,3,5,4,1,2]=>[1,8,3,6,7,5,4,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[7,1,3,4,2,6,5,8]=>[7,3,1,4,6,2,5,8]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[8,6,2,1,5,3,7,4]=>[8,2,6,5,7,1,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[1,2,8,7,6,5,4,3,9]=>[8,7,6,5,4,1,2,3,9]=>[[1,2,3,9],[4],[5],[6],[7],[8]]=>[8,1]
[4,8,5,3,2,7,1,6]=>[4,5,8,3,2,1,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[5,4,8,1,3,7,2,6]=>[5,1,4,3,2,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[8,4,5,3,1,7,2,6]=>[4,5,3,8,1,7,2,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[5,6,8,7,2,4,3,1]=>[8,2,5,6,7,4,3,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[6,8,7,5,1,3,2,4]=>[1,8,3,6,7,5,2,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[6,7,4,1,8,2,5,3]=>[4,6,7,8,1,5,2,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[5,7,6,8,3,2,4,1]=>[3,7,5,6,8,2,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[7,6,4,2,8,1,5,3]=>[4,7,6,8,2,1,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[7,3,4,8,6,1,2,5]=>[1,3,7,4,8,2,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[6,3,4,8,7,1,2,5]=>[1,3,8,4,6,2,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[1,7,5,3,6,8,2,4]=>[3,5,7,1,2,6,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[2,7,4,8,1,6,3,5]=>[2,7,4,1,8,3,6,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[5,7,4,6,8,2,3,1]=>[2,5,4,7,6,8,3,1]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[2,6,5,7,8,1,3,4]=>[2,1,6,3,5,7,8,4]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[4,6,5,7,8,2,3,1]=>[2,6,4,5,7,8,3,1]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[5,3,1,6,7,8,2,4]=>[3,5,1,6,2,7,8,4]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[6,3,1,5,7,8,2,4]=>[3,1,6,5,2,7,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[7,3,1,5,6,8,2,4]=>[3,1,7,2,5,6,8,4]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[2,1,4,7,8,6,3,5]=>[4,7,2,1,3,8,6,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[1,8,7,5,2,6,4,3]=>[5,8,7,6,4,1,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[1,8,5,6,4,2,3,7]=>[1,5,8,2,6,4,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[6,7,1,8,2,4,3,5]=>[1,6,4,7,8,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[2,6,8,3,7,5,4,1]=>[6,8,7,2,3,5,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[1,8,7,6,2,4,5,3]=>[8,1,2,7,6,4,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[6,4,8,5,7,3,1,2]=>[1,6,4,8,5,7,3,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[1,6,4,7,2,5,8,3]=>[4,6,7,1,2,5,8,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[8,3,4,5,1,7,6,2]=>[8,3,4,5,7,6,1,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[5,6,1,7,4,8,3,2]=>[5,6,7,4,8,1,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[1,7,5,6,4,8,2,3]=>[1,7,5,2,6,4,8,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[2,4,8,3,5,1,6,7]=>[4,2,3,5,1,8,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[2,4,8,5,7,3,1,6]=>[2,8,4,5,3,7,1,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[4,3,6,7,1,2,8,5]=>[6,1,4,3,7,8,2,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[8,3,1,4,6,2,7,5]=>[8,3,1,6,4,7,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[8,3,6,1,2,7,5,4]=>[6,8,1,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[2,3,5,4,7,8,1,6]=>[5,2,3,4,1,7,8,6]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[1,3,6,7,4,8,2,5]=>[3,6,1,4,7,2,8,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[7,2,6,4,5,8,1,3]=>[2,1,7,4,6,5,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[2,1,4,7,6,8,3,5]=>[4,7,2,1,3,6,8,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[4,1,2,7,6,8,3,5]=>[4,7,1,2,6,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[6,2,1,5,8,7,4,3]=>[8,6,5,2,7,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[4,5,2,3,7,8,1,6]=>[2,4,5,3,1,7,8,6]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[3,4,2,5,7,8,1,6]=>[3,4,2,5,1,7,8,6]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[5,3,4,2,7,8,1,6]=>[3,5,4,2,1,7,8,6]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[5,3,4,6,1,8,2,7]=>[3,5,4,6,1,8,2,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[4,7,8,5,1,2,6,3]=>[4,1,7,5,8,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[4,1,6,8,7,2,5,3]=>[4,8,6,1,7,2,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[4,5,7,1,8,2,6,3]=>[4,5,7,1,8,6,2,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[6,1,3,5,2,8,7,4]=>[8,6,3,1,5,7,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[7,4,6,5,2,3,1,8]=>[2,7,4,6,5,3,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[7,4,8,2,3,1,6,5]=>[7,2,4,8,3,6,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[7,3,2,1,4,8,6,5]=>[7,8,3,6,2,1,4,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[4,2,7,3,5,1,8,6]=>[7,4,2,8,3,5,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[8,7,2,6,1,5,3,4]=>[2,8,1,3,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[7,1,3,8,2,6,4,5]=>[1,7,3,8,2,4,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[2,7,3,4,1,5,8,6]=>[7,2,3,8,4,1,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[7,3,1,6,2,5,8,4]=>[7,3,1,6,5,2,8,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[3,8,2,6,4,5,1,7]=>[3,2,8,4,6,5,1,7]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[5,1,3,7,2,8,4,6]=>[5,1,7,3,2,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[8,7,3,2,5,1,6,4]=>[8,3,2,7,5,6,1,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[6,3,1,4,2,5,8,7]=>[8,3,4,6,1,2,5,7]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[5,2,3,1,4,6,8,7]=>[8,2,3,5,1,4,6,7]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[4,2,7,1,3,5,8,6]=>[7,2,4,1,3,8,5,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[3,5,4,1,6,2,8,7]=>[8,5,3,4,6,1,2,7]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[3,5,1,7,6,2,8,4]=>[7,5,3,6,8,1,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[4,6,7,3,1,8,2,5]=>[4,3,6,7,1,8,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[5,4,2,7,1,8,6,3]=>[7,5,4,8,2,6,1,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[4,1,7,6,5,3,2,8]=>[7,6,4,5,3,1,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[8,4,5,2,7,6,3,1]=>[8,4,5,7,6,2,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[3,1,4,5,7,6,2,8]=>[7,3,4,1,5,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[4,5,1,3,6,8,7,2]=>[8,4,1,5,3,6,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[3,8,5,1,2,4,6,7]=>[1,3,2,5,8,4,6,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[5,8,4,1,2,3,6,7]=>[1,2,5,4,3,8,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[3,5,8,1,4,2,7,6]=>[8,3,5,1,4,7,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[2,8,5,7,1,4,3,6]=>[2,8,1,5,4,7,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[4,8,7,5,1,2,3,6]=>[1,2,4,8,7,5,3,6]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[8,1,2,4,6,3,7,5]=>[6,4,1,2,8,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[7,6,1,4,2,3,8,5]=>[7,1,6,2,8,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[6,1,2,7,8,4,3,5]=>[1,6,7,2,8,4,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[7,8,1,2,5,3,4,6]=>[1,2,7,3,5,8,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[1,8,4,7,5,2,3,6]=>[1,2,8,7,4,5,3,6]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[8,4,7,2,1,6,3,5]=>[4,2,8,1,7,6,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[4,5,8,2,1,6,7,3]=>[4,5,8,2,1,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[7,4,2,5,3,6,1,8]=>[4,5,7,2,3,6,1,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[5,1,4,6,3,7,8,2]=>[5,4,1,6,3,7,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[8,1,5,3,6,7,2,4]=>[1,5,3,8,2,6,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[1,7,5,4,6,8,2,3]=>[1,5,7,4,2,6,8,3]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[2,8,5,4,6,7,1,3]=>[2,5,1,8,4,6,7,3]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[5,1,8,6,7,3,4,2]=>[5,1,8,6,3,7,4,2]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[6,8,5,3,7,4,1,2]=>[1,6,5,8,7,3,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[6,3,2,4,1,5,8,7]=>[8,3,2,6,4,1,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[8,5,3,2,1,7,4,6]=>[5,3,8,7,2,1,4,6]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[6,8,3,2,4,1,5,7]=>[3,2,6,4,8,1,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[8,7,3,5,6,4,1,2]=>[1,5,3,8,7,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[6,5,2,4,1,7,8,3]=>[6,2,5,4,7,1,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[2,6,1,7,5,4,8,3]=>[6,7,5,2,4,1,8,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[5,4,8,2,1,3,6,7]=>[2,5,4,1,3,8,6,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[7,5,1,3,2,8,4,6]=>[5,7,1,3,8,2,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[1,4,8,3,2,6,5,7]=>[4,8,1,6,3,2,5,7]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[1,8,3,4,2,5,7,6]=>[8,1,3,7,4,2,5,6]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[7,2,8,3,1,4,5,6]=>[2,3,1,7,8,4,5,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[2,8,1,7,4,3,5,6]=>[2,1,8,7,4,3,5,6]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[8,1,3,2,7,5,4,6]=>[1,8,7,5,3,2,4,6]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[2,3,4,5,6,1,9,8,7]=>[9,8,2,3,4,5,6,1,7]=>[[1,3,4,5,6,7],[2],[8],[9]]=>[2,7]
[7,4,3,6,5,1,2,8]=>[1,7,4,6,3,5,2,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[7,6,1,8,2,5,4,3]=>[7,6,1,8,5,4,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[8,4,1,6,7,3,5,2]=>[4,8,1,3,6,7,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[4,8,2,3,7,1,5,6]=>[2,4,3,1,5,8,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[7,4,3,1,5,8,2,6]=>[4,3,7,5,1,2,8,6]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[8,6,7,1,2,5,4,3]=>[6,8,1,2,7,5,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[6,7,4,1,2,8,5,3]=>[6,7,1,8,4,5,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[4,6,7,8,2,5,1,3]=>[2,4,1,6,7,8,5,3]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[5,4,2,8,1,6,3,7]=>[5,4,2,8,1,6,3,7]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[8,7,2,6,4,5,3,1]=>[8,2,4,7,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[2,7,8,6,4,5,1,3]=>[2,1,7,8,4,6,5,3]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[1,7,5,4,8,6,2,3]=>[1,7,8,5,4,2,6,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[5,8,3,4,7,6,1,2]=>[1,8,3,5,4,7,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[1,4,2,8,5,6,7,3]=>[4,8,1,5,2,6,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[6,7,3,2,8,5,4,1]=>[6,7,8,5,3,2,4,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[6,8,7,3,2,5,4,1]=>[8,3,6,7,5,2,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[7,3,8,6,4,2,5,1]=>[3,7,8,6,4,2,5,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[4,8,6,3,2,7,1,5]=>[4,3,8,6,2,1,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,8,5,3,6,1,2,7]=>[1,4,5,8,3,6,2,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[5,7,3,2,8,6,4,1]=>[7,5,8,6,3,2,4,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[4,6,5,8,2,7,1,3]=>[2,6,4,5,1,8,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[4,5,1,6,8,2,7,3]=>[4,5,6,8,1,2,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[1,6,3,7,2,4,8,5]=>[6,3,7,1,2,8,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[4,3,8,1,5,6,2,7]=>[4,3,5,1,6,8,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[8,9,7,6,5,4,3,1,2]=>[1,8,9,7,6,5,4,3,2]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,1]
[8,6,7,5,4,3,2,1,9]=>[6,8,7,5,4,3,2,1,9]=>[[1,7,9],[2],[3],[4],[5],[6],[8]]=>[6,2,1]
[8,7,9,6,5,4,3,1,2]=>[1,8,7,9,6,5,4,3,2]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,1]
[3,2,6,5,1,4,7,8]=>[3,6,2,1,5,4,7,8]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[6,1,5,8,4,2,3,7]=>[1,6,5,2,4,8,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[2,5,1,4,8,6,7,3]=>[8,2,5,1,4,6,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[5,2,4,1,3,7,6,8]=>[7,2,1,5,4,3,6,8]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[5,2,1,8,4,6,3,7]=>[5,2,8,4,1,6,3,7]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[5,2,1,3,7,4,6,8]=>[5,2,1,7,3,4,6,8]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[8,4,1,2,6,5,7,3]=>[8,1,4,6,5,2,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[4,5,2,1,3,7,6,8]=>[7,2,4,5,1,3,6,8]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[5,3,1,7,4,2,6,8]=>[5,3,7,4,1,2,6,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[7,3,1,5,8,4,6,2]=>[3,7,5,4,1,8,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[8,4,3,1,5,7,6,2]=>[8,4,3,7,5,1,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[6,2,7,4,1,5,8,3]=>[6,2,7,4,5,1,8,3]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[5,4,1,2,8,6,3,7]=>[5,8,1,4,6,2,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[3,2,8,4,1,6,5,7]=>[3,8,6,2,4,1,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[3,7,6,4,1,5,8,2]=>[3,7,6,4,5,1,8,2]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[8,2,7,6,3,4,1,5]=>[2,3,8,7,4,6,1,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[4,1,2,8,3,5,7,6]=>[8,4,1,2,3,7,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[7,1,2,4,8,6,3,5]=>[1,7,8,2,4,3,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[7,1,8,5,4,6,2,3]=>[1,5,7,8,4,2,6,3]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[6,3,5,4,1,2,7,8]=>[1,6,3,5,4,2,7,8]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[7,1,6,5,4,2,8,3]=>[7,6,5,4,1,8,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[3,6,1,4,8,2,5,7]=>[3,1,6,4,2,5,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[7,2,6,5,1,4,3,8]=>[7,2,6,1,5,4,3,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[7,1,8,4,2,3,6,5]=>[7,1,4,8,6,2,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[6,2,1,8,3,4,5,7]=>[2,1,6,3,8,4,5,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[2,7,6,4,5,1,8,3]=>[7,2,6,4,5,8,1,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[1,7,5,6,4,3,8,2]=>[7,5,6,1,4,3,8,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[5,7,2,3,6,4,1,8]=>[5,2,7,3,6,4,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[4,6,8,1,7,3,5,2]=>[4,6,1,8,3,7,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[6,8,2,7,4,1,3,5]=>[2,1,6,8,4,7,3,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[8,1,4,5,7,2,6,3]=>[4,5,1,8,2,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[3,8,1,5,7,4,2,6]=>[5,3,1,8,4,7,2,6]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[8,2,7,1,4,5,3,6]=>[4,2,1,5,8,7,3,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[8,1,5,7,2,6,3,4]=>[1,5,8,2,3,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[2,8,3,1,6,7,4,5]=>[2,8,3,1,6,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[4,5,8,3,2,1,7,6]=>[8,4,5,3,7,2,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[4,7,3,2,1,6,5,8]=>[7,4,3,6,2,1,5,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[5,2,8,1,4,6,7,3]=>[5,2,4,1,6,8,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[5,6,3,7,8,1,4,2]=>[3,5,6,7,1,8,4,2]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[6,2,3,7,1,5,4,8]=>[6,2,3,7,1,5,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[6,1,3,4,5,2,7,8]=>[3,1,4,6,5,2,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[1,6,8,5,7,2,4,3]=>[6,1,5,8,2,7,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[7,5,3,6,4,2,1,8]=>[5,7,6,3,4,2,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[7,3,6,5,1,4,2,8]=>[3,7,6,1,5,4,2,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[7,2,6,5,4,1,3,8]=>[2,7,6,1,5,4,3,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[1,5,2,6,8,7,3,4]=>[1,8,5,6,2,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[6,8,4,1,3,2,7,5]=>[6,8,1,4,7,3,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[6,5,4,3,2,1,8,9,7]=>[8,6,5,4,3,2,1,9,7]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>[6,2,1]
[7,6,5,4,3,2,1,9,10,8]=>[9,7,6,5,4,3,2,1,10,8]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>[7,2,1]
[5,3,4,7,2,1,6,8]=>[3,5,4,2,7,1,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[5,4,7,8,6,1,2,3]=>[1,2,7,5,4,8,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[7,2,4,5,8,1,3,6]=>[2,1,4,5,7,3,8,6]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[6,2,5,8,1,3,7,4]=>[6,2,1,5,8,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[4,2,3,7,6,1,8,5]=>[7,6,2,4,3,8,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[4,2,6,3,1,5,7,8]=>[4,2,6,3,1,5,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[7,5,2,3,4,1,8,6]=>[7,2,3,8,5,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[1,6,2,3,8,4,7,5]=>[6,8,1,2,7,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[8,2,7,1,3,5,6,4]=>[5,2,1,3,8,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[7,1,6,4,3,2,8,5]=>[7,6,8,4,1,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[4,6,3,2,7,5,8,1]=>[6,4,7,3,2,5,8,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[1,5,7,4,8,6,2,3]=>[1,7,5,8,2,4,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[1,6,5,4,7,8,2,3]=>[1,6,5,4,2,7,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[2,3,5,1,7,8,6,4]=>[7,5,2,3,8,1,6,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[5,3,1,2,7,8,6,4]=>[7,5,1,8,3,2,6,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[1,2,7,8,6,4,3,5]=>[1,7,8,6,2,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[8,6,7,1,5,4,2,3]=>[1,6,8,2,7,5,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[3,5,1,7,8,6,2,4]=>[3,7,1,5,8,2,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[3,1,8,6,7,4,2,5]=>[3,8,1,6,7,4,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[8,5,7,6,2,4,1,3]=>[2,1,8,5,7,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[1,7,6,8,5,2,3,4]=>[1,2,7,6,8,3,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[8,3,5,6,4,7,1,2]=>[1,5,3,6,8,4,7,2]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[8,4,1,3,5,7,6,2]=>[8,4,1,3,7,5,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[8,4,1,5,6,3,7,2]=>[4,8,1,5,6,3,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[8,5,6,1,3,7,2,4]=>[1,5,3,6,8,2,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[5,9,1,8,2,7,3,6,4]=>[5,9,1,8,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7],[8],[9]]=>[5,4]
[5,4,3,8,1,7,2,6]=>[5,4,3,1,8,2,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[4,5,7,6,2,1,8,3]=>[7,4,5,6,8,2,1,3]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[7,3,1,5,6,8,4,2]=>[7,3,5,1,6,8,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[4,8,7,2,3,1,6,5]=>[8,2,4,7,3,6,1,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[5,6,8,1,2,4,3,7]=>[5,1,2,6,4,8,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[8,1,2,4,3,7,5,6]=>[1,8,2,7,4,3,5,6]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[3,8,4,7,6,1,2,5]=>[1,3,8,4,7,2,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[1,6,8,5,3,7,2,4]=>[1,6,8,3,5,2,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[5,6,2,8,3,1,4,7]=>[2,5,6,3,8,1,4,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[3,2,6,7,5,1,8,4]=>[6,7,3,2,5,8,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[4,3,5,7,1,8,2,6]=>[4,3,5,1,7,8,2,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[4,3,2,5,8,7,1,6]=>[4,8,3,2,5,1,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[2,5,4,3,8,7,1,6]=>[5,8,4,2,3,1,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[5,2,6,4,7,1,3,8]=>[2,5,6,1,4,7,3,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[2,5,6,7,3,1,8,4]=>[5,6,2,7,8,3,1,4]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[5,7,8,3,6,2,4,1]=>[3,5,2,7,8,6,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[5,7,8,1,6,2,3,4]=>[1,2,5,7,3,8,6,4]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[1,5,4,3,7,2,6,8]=>[5,4,3,1,2,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[1,6,4,2,7,3,8,5]=>[6,7,4,8,1,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[6,4,8,7,1,5,3,2]=>[4,8,6,7,5,1,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[7,3,4,8,5,6,2,1]=>[3,7,4,8,5,6,2,1]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[5,7,3,2,4,6,8,1]=>[3,5,2,7,4,6,8,1]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[5,3,1,6,8,2,7,4]=>[5,6,3,8,1,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[1,4,7,5,6,2,8,3]=>[7,4,1,5,6,8,2,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[3,4,5,7,8,2,1,6]=>[3,4,5,2,7,8,1,6]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[1,3,4,7,2,6,8,5]=>[7,3,1,4,2,6,8,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[6,4,1,2,5,8,7,3]=>[8,4,1,6,5,2,7,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[7,6,1,2,8,4,5,3]=>[7,1,6,2,8,4,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[3,6,5,7,1,2,8,4]=>[6,1,5,3,7,8,2,4]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[1,3,6,8,4,2,7,5]=>[6,8,3,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[1,7,4,8,3,5,6,2]=>[4,7,1,3,5,8,6,2]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[6,2,8,4,7,3,1,5]=>[2,6,8,4,3,7,1,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[1,6,7,2,5,3,8,4]=>[6,7,1,5,2,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[6,4,7,5,1,8,3,2]=>[6,7,4,5,8,3,1,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[7,6,8,3,5,4,1,2]=>[1,7,3,6,8,5,4,2]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[8,4,7,5,3,1,6,2]=>[4,8,5,7,3,6,1,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[7,4,5,1,8,6,2,3]=>[1,7,4,8,5,6,2,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[2,7,8,3,6,4,1,5]=>[2,7,3,8,4,6,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[3,8,4,7,6,2,1,5]=>[3,8,4,7,2,6,1,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[8,1,5,7,6,3,2,4]=>[1,8,5,7,3,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[1,8,6,7,5,3,2,4]=>[1,8,6,7,3,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[5,2,8,6,1,7,4,3]=>[5,8,6,7,2,4,1,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[7,3,2,6,1,8,4,5]=>[3,7,2,6,1,8,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[7,4,8,3,1,6,5,2]=>[7,4,8,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>[4,3,1]
[7,9,10,8,6,5,4,3,2,1]=>[9,7,10,8,6,5,4,3,2,1]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>[7,2,1]
[5,4,8,2,3,7,1,6]=>[2,5,4,3,1,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[1,2,4,7,8,3,6,5]=>[7,4,1,2,3,8,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[1,3,7,8,2,4,6,5]=>[7,3,1,2,4,8,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[8,1,2,5,3,6,4,7]=>[1,8,5,2,6,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[8,1,5,3,7,6,2,4]=>[1,8,7,3,5,2,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[2,3,5,7,6,1,4,8]=>[2,7,3,1,5,6,4,8]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[6,1,4,2,3,5,7,8]=>[1,2,6,4,3,5,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>[4,2,2]
[4,5,2,7,8,3,6,1]=>[4,5,2,7,3,8,6,1]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[2,4,5,3,7,1,6,8]=>[4,2,5,3,1,7,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[6,5,1,8,3,7,4,2]=>[6,5,8,7,1,3,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[8,5,4,1,7,3,2,6]=>[5,4,8,3,7,1,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[4,7,6,3,2,8,5,1]=>[7,6,4,8,3,2,5,1]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[4,3,1]
[1,8,7,2,5,6,3,4]=>[1,8,2,3,7,5,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[1,8,2,6,7,4,3,5]=>[1,8,6,2,4,7,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[1,8,5,7,6,4,3,2]=>[8,7,5,6,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[1,6,2,7,3,8,4,9,5]=>[6,7,8,9,1,2,3,4,5]=>[[1,2,3,4,5],[6,7,8,9]]=>[6,3]
[7,2,4,1,8,5,3,6]=>[2,7,8,4,5,1,3,6]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[4,2,8,5,6,1,3,7]=>[2,4,1,8,5,6,3,7]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[7,3,2,1,4,6,8,5]=>[7,3,2,6,1,4,8,5]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[3,7,2,1,4,6,8,5]=>[7,3,2,1,6,4,8,5]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[4,7,2,6,1,8,3,5]=>[4,2,7,1,6,8,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[8,7,3,5,2,1,6,4]=>[5,3,8,7,6,2,1,4]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[6,8,5,3,2,1,7,4]=>[6,5,8,7,3,2,1,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[6,7,3,2,1,5,8,4]=>[6,3,7,5,2,1,8,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[7,5,3,2,1,6,8,4]=>[5,7,6,3,2,1,8,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[8,6,7,3,2,1,5,4]=>[6,3,8,7,5,2,1,4]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[1,4,8,3,2,6,7,5]=>[8,4,1,3,6,2,7,5]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[1,7,5,3,6,2,4,8]=>[3,5,7,1,2,6,4,8]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[7,4,6,1,3,5,8,2]=>[4,1,3,7,6,5,8,2]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[6,8,1,3,4,2,5,7]=>[3,1,4,6,2,8,5,7]=>[[1,2,5,7],[3,4,6,8]]=>[3,3,2]
[6,1,3,5,2,4,8,7]=>[8,3,1,2,6,5,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[4,2,5,7,8,1,3,6]=>[2,4,1,5,3,7,8,6]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[1,3,6,2,5,7,4,8]=>[6,3,1,2,5,7,4,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[2,8,4,6,3,5,7,1]=>[2,4,8,3,6,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[2,5,3,6,8,1,4,7]=>[2,5,3,1,6,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[2,8,3,5,7,4,6,1]=>[2,8,3,5,4,7,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[4,5,3,1,2,6,8,7]=>[8,1,4,5,3,2,6,7]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[7,3,5,1,4,2,6,8]=>[3,1,7,5,4,2,6,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[6,2,1,7,4,3,8,5]=>[6,7,8,4,2,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[7,3,5,2,1,6,4,8]=>[5,3,7,6,2,1,4,8]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[4,6,5,2,1,3,7,8]=>[2,6,4,5,1,3,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[2,5,6,1,4,3,7,8]=>[5,2,1,6,4,3,7,8]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[6,1,5,3,7,2,4,8]=>[1,6,5,3,2,7,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[1,6,8,7,3,2,4,5]=>[1,3,8,6,7,2,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[8,7,5,4,6,1,3,2]=>[5,1,8,7,4,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[1,7,8,2,4,6,3,5]=>[1,7,2,4,3,8,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[2,7,5,1,6,8,3,4]=>[2,7,1,5,6,3,8,4]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[4,7,3,6,2,8,5,1]=>[7,4,3,6,8,2,5,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[8,5,4,2,7,3,6,1]=>[5,4,8,2,7,3,6,1]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[5,1,8,3,4,7,6,2]=>[8,5,1,3,7,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[4,1,8,3,5,7,6,2]=>[8,4,3,1,7,5,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[7,6,1,4,8,3,5,2]=>[7,1,4,6,3,8,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[7,2,6,1,4,3,5,8]=>[2,7,1,4,6,3,5,8]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[6,2,1,8,5,3,4,7]=>[2,6,5,8,1,3,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[3,8,6,1,2,4,5,7]=>[1,3,2,4,8,6,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[1,8,5,3,2,7,4,6]=>[5,3,8,7,1,2,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[1,8,4,7,2,3,5,6]=>[1,2,4,8,3,5,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[3,1,8,7,2,5,4,6]=>[3,8,1,7,5,2,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[3,8,1,4,2,7,6,5]=>[8,7,3,1,6,4,2,5]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[3,2,8,1,7,5,4,6]=>[3,8,7,2,1,5,4,6]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[3,4,5,6,2,1,7,8,9]=>[3,4,5,6,2,1,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,6]
[3,4,5,2,1,6,7,8,9]=>[3,4,5,2,1,6,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,6]
[7,1,5,6,2,3,4,8]=>[1,2,5,3,7,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[8,5,2,1,4,7,3,6]=>[5,2,4,8,1,3,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[1,6,8,7,3,4,2,5]=>[1,8,3,6,4,7,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[4,1,3,6,7,8,5,2]=>[6,4,1,3,7,8,5,2]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[7,6,4,1,2,8,3,5]=>[1,7,4,6,2,8,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[7,6,4,5,2,8,3,1]=>[4,7,6,5,8,2,3,1]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[8,3,6,5,7,2,4,1]=>[3,2,8,6,5,7,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[4,1,2,6,7,8,5,3]=>[6,4,1,7,2,8,5,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[3,4,5,6,1,7,2,8,9]=>[3,4,5,6,7,1,2,8,9]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[3,4,5,1,6,2,7,8,9]=>[3,4,5,6,1,2,7,8,9]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[3,7,8,2,1,4,5,6]=>[3,2,1,4,7,8,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[1,8,6,7,2,4,5,3]=>[8,1,2,4,6,7,5,3]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[3,7,8,1,5,2,6,4]=>[7,3,1,5,8,6,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[1,7,8,6,2,4,5,3]=>[7,1,2,8,4,6,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[3,6,8,1,4,5,7,2]=>[3,4,1,6,5,8,7,2]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[2,5,4,7,8,3,6,1]=>[5,4,2,3,7,8,6,1]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[1,4,8,5,7,3,6,2]=>[8,1,4,5,3,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[3,8,6,1,2,7,5,4]=>[8,6,1,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[4,8,1,5,6,2,3,7]=>[1,4,5,2,6,8,3,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[4,1,8,5,3,7,2,6]=>[4,5,8,3,1,2,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[6,1,4,3,7,2,8,5]=>[6,7,4,1,3,8,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[4,3,7,8,2,5,1,6]=>[4,3,2,5,7,8,1,6]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[7,1,4,6,2,8,5,3]=>[7,4,6,1,8,5,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[3,7,8,5,4,2,1,6]=>[3,7,8,5,4,2,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[7,1,4,5,8,6,3,2]=>[7,4,8,1,5,6,3,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[5,7,4,3,1,6,8,2]=>[5,4,7,3,6,1,8,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[5,4,1,6,3,8,2,7]=>[5,4,6,3,1,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[5,4,3,6,8,1,7,2]=>[5,4,3,6,8,1,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[3,4,6,2,5,8,1,7]=>[3,4,2,6,5,1,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[1,4,3,5,6,8,2,7]=>[4,3,1,5,6,2,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[1,4,6,5,8,2,7,3]=>[6,4,5,1,8,2,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[4,6,1,7,3,2,8,5]=>[6,4,7,8,3,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[1,6,4,2,3,5,8,7]=>[8,1,4,6,2,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[4,8,3,5,2,1,6,7]=>[4,3,5,2,8,1,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[1,6,8,4,7,5,3,2]=>[6,8,4,7,1,5,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[8,7,3,1,5,2,6,4]=>[5,3,8,7,6,1,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[8,2,3,6,7,5,4,1]=>[6,8,2,3,7,5,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[2,8,7,1,3,5,4,6]=>[2,8,1,3,7,5,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[4,7,1,6,8,2,3,5]=>[1,4,2,7,3,6,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[5,2,3,8,7,1,4,6]=>[2,3,8,5,1,4,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,1,7,5,2,6,3,4]=>[1,8,2,7,5,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[8,7,1,6,2,4,3,5]=>[1,8,2,7,4,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,7,1,3,2,6,4,5]=>[1,8,3,7,2,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[2,7,6,4,8,3,1,5]=>[4,7,6,2,3,8,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[7,5,1,2,3,8,4,6]=>[1,7,2,5,3,8,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[4,3,5,2,6,1,7,8,9]=>[4,3,5,2,6,1,7,8,9]=>[[1,5,6,7,8,9],[2],[3],[4]]=>[4,5]
[4,5,3,6,2,7,1,8,9]=>[4,5,3,6,2,7,1,8,9]=>[[1,5,6,7,8,9],[2],[3],[4]]=>[4,5]
[3,2,4,1,5,6,7,8,9,10]=>[3,2,4,1,5,6,7,8,9,10]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>[3,7]
[3,4,2,5,1,6,7,8,9,10]=>[3,4,2,5,1,6,7,8,9,10]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>[3,7]
[4,3,5,2,6,1,7,8,9,10]=>[4,3,5,2,6,1,7,8,9,10]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>[4,6]
[4,5,3,6,2,7,1,8,9,10]=>[4,5,3,6,2,7,1,8,9,10]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>[4,6]
[5,4,6,3,7,2,8,1,9,10]=>[5,4,6,3,7,2,8,1,9,10]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>[5,5]
[6,8,2,5,3,1,7,4]=>[6,5,2,8,7,3,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[4,3,7,8,2,1,6,5]=>[7,4,3,2,8,6,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[4,8,7,5,1,2,6,3]=>[4,1,8,7,5,6,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[7,8,4,6,1,3,5,2]=>[4,1,3,7,8,6,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[5,8,3,1,4,7,2,6]=>[3,5,1,8,4,2,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[7,1,8,5,2,6,4,3]=>[5,7,8,6,4,1,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[7,3,1,2,8,6,5,4]=>[7,8,6,1,5,3,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[8,3,7,6,4,1,2,5]=>[1,3,8,7,4,6,2,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[5,1,6,4,8,3,2,7]=>[5,6,4,1,8,3,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[4,3,8,6,2,1,5,7]=>[4,3,8,2,6,1,5,7]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,6,8,5,2,3,1,7]=>[2,6,4,5,8,3,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[8,7,1,3,2,4,5,6]=>[1,3,2,8,4,7,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[6,8,2,1,4,5,3,7]=>[6,2,1,4,8,5,3,7]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[2,7,5,1,4,3,8,6]=>[7,8,2,5,1,4,3,6]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[7,1,2,4,3,6,8,5]=>[7,1,6,2,4,3,8,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[7,5,8,1,2,4,3,6]=>[1,7,2,5,4,8,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[5,3,4,6,8,7,1,2]=>[1,8,3,5,4,6,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[3,4,8,5,1,2,6,7]=>[1,3,4,8,5,2,6,7]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[5,8,3,1,2,6,7,4]=>[5,1,8,3,2,6,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[5,7,1,6,3,4,8,2]=>[5,1,7,3,6,4,8,2]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[6,1,5,2,8,7,4,3]=>[8,6,5,7,1,4,2,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[8,4,6,3,1,2,7,5]=>[6,1,4,8,7,3,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[3,8,6,4,1,5,7,2]=>[3,6,8,4,5,1,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[3,8,6,4,5,1,7,2]=>[3,6,8,4,5,7,1,2]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[4,6,2,5,7,8,1,3]=>[2,4,1,6,5,7,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[4,8,3,5,7,1,6,2]=>[4,3,5,8,1,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[4,8,3,5,6,1,2,7]=>[1,4,3,5,6,8,2,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[1,5,7,2,6,4,8,3]=>[5,7,6,1,2,4,8,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[1,2,7,8,3,5,4,6]=>[1,7,2,8,3,5,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[6,1,4,5,8,2,3,7]=>[1,4,2,6,5,3,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[1,7,6,2,8,5,4,3]=>[7,6,8,5,4,1,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[1,7,6,8,3,4,2,5]=>[1,7,3,6,4,8,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[3,4,1,7,8,6,5,2]=>[7,8,3,4,6,1,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[2,4,8,6,5,7,1,3]=>[2,6,8,1,4,5,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,5,1,8,3,4,7,2]=>[6,1,5,3,8,4,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[5,7,2,4,6,1,8,3]=>[5,2,4,7,6,8,1,3]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[3,2,7,5,8,6,4,1]=>[7,8,5,3,2,6,4,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[7,2,5,4,3,8,6,1]=>[7,8,5,2,4,3,6,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[1,8,7,3,5,2,6,4]=>[8,1,7,3,5,6,2,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[4,2,1,8,6,5,7,3]=>[6,8,4,5,2,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[4,7,8,5,2,1,6,3]=>[4,7,5,8,6,2,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[2,8,3,6,1,5,7,4]=>[8,2,3,1,6,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[2,8,4,7,3,5,1,6]=>[2,4,8,3,5,7,1,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[6,2,8,3,5,4,1,7]=>[6,2,5,8,3,4,1,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[2,4,1,8,6,5,7,3]=>[6,8,4,2,5,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[3,4,8,5,1,6,2,7]=>[3,4,8,5,6,1,2,7]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[4,6,7,8,5,2,1,3]=>[2,6,4,7,8,5,1,3]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[7,2,3,1,8,6,5,4]=>[7,8,6,2,5,3,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[7,2,8,3,5,6,1,4]=>[2,3,1,7,8,5,6,4]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[7,2,3,8,4,6,1,5]=>[2,3,7,4,8,1,6,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[1,7,3,4,8,5,2,6]=>[1,7,8,3,4,5,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[1,7,3,8,5,4,2,6]=>[5,7,8,3,1,4,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[7,2,8,4,5,3,1,6]=>[2,7,4,8,5,3,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[1,5,8,3,4,6,2,7]=>[5,1,3,4,6,8,2,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[1,3,8,4,2,5,7,6]=>[8,3,1,7,4,2,5,6]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[6,7,1,2,4,8,3,5]=>[1,6,2,4,7,3,8,5]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[7,3,4,8,1,2,6,5]=>[7,1,3,4,8,2,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[3,5,4,1,2,7,8,6]=>[7,1,5,3,4,2,8,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,4,3,6,2,5,8,7]=>[8,4,3,1,2,6,5,7]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[1,4,6,3,2,5,8,7]=>[8,4,1,6,3,2,5,7]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[1,4,6,3,2,8,5,7]=>[6,4,1,8,3,2,5,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[1,4,6,3,8,2,5,7]=>[4,1,6,3,2,5,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[6,8,4,1,5,7,2,3]=>[1,4,6,8,2,5,7,3]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[8,5,6,4,1,7,3,2]=>[5,6,8,4,7,3,1,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[4,5,8,1,6,3,7,2]=>[4,5,8,1,6,3,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[8,1,4,6,2,5,7,3]=>[4,6,1,2,8,5,7,3]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[4,5,8,1,6,2,7,3]=>[4,5,8,1,6,7,2,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[5,2,6,8,1,4,3,7]=>[5,2,6,1,4,8,3,7]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[2,7,3,1,5,8,6,4]=>[7,8,2,5,3,1,6,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[2,7,3,5,4,1,8,6]=>[7,8,2,5,3,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[2,6,3,7,4,1,8,5]=>[6,7,8,2,3,4,1,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,7,3,8,4,1,6,5]=>[7,2,8,6,3,4,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[4,5,8,1,3,6,2,7]=>[4,1,5,3,6,8,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[4,1,3,8,5,7,6,2]=>[8,7,1,4,3,5,6,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[4,1,3,7,2,8,6,5]=>[7,8,4,1,3,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[4,6,3,1,7,2,8,5]=>[6,4,7,3,8,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[4,8,7,2,5,3,1,6]=>[4,2,8,7,5,3,1,6]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[7,2,6,1,3,8,5,4]=>[7,6,2,1,8,5,3,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[7,6,2,1,3,8,5,4]=>[7,6,2,8,5,1,3,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[8,7,3,1,2,5,6,4]=>[8,1,3,2,7,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[2,7,3,6,1,8,5,4]=>[7,6,2,8,3,5,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[6,1,8,2,5,7,4,3]=>[6,8,1,5,2,7,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[2,8,5,7,1,6,4,3]=>[5,8,2,7,6,1,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[7,6,4,2,5,3,8,1]=>[4,7,6,5,2,3,8,1]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[4,7,6,8,5,2,1,3]=>[2,7,6,4,8,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[4,7,6,8,5,2,3,1]=>[2,7,6,4,8,5,3,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[7,4,5,1,2,6,3,8]=>[4,1,5,7,6,2,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[4,3,1,8,7,6,2,5]=>[4,8,7,3,1,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[5,4,6,1,8,2,7,3]=>[5,4,6,8,1,7,2,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[5,6,4,2,8,1,7,3]=>[5,6,4,8,2,1,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[6,4,3,7,8,1,5,2]=>[4,6,3,7,1,8,5,2]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[5,4,3,1,8,6,7,2]=>[5,8,4,3,6,1,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[5,4,3,6,1,7,8,2]=>[5,4,3,6,7,1,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[3,2,7,8,5,6,1,4]=>[3,2,7,1,5,8,6,4]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[4,8,3,2,1,7,5,6]=>[4,8,3,2,7,1,5,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[1,8,4,5,6,3,2,7]=>[4,1,8,5,6,3,2,7]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[7,4,3,6,1,8,5,2]=>[7,4,6,3,8,5,1,2]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[4,7,6,1,5,8,2,3]=>[1,4,7,6,2,5,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[2,4,7,6,3,5,8,1]=>[4,7,2,3,6,5,8,1]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[2,6,7,3,4,5,8,1]=>[2,3,6,4,7,5,8,1]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[3,7,4,6,5,8,2,1]=>[7,3,6,4,5,8,2,1]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[1,4,6,5,8,7,2,3]=>[1,8,6,4,2,5,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,5,1,7,4,6,3,2]=>[5,8,7,1,4,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[3,6,7,8,4,1,5,2]=>[3,6,4,7,8,5,1,2]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[1,3,7,8,4,6,2,5]=>[1,7,3,4,2,8,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[4,1,8,3,7,5,2,6]=>[4,8,1,7,3,5,2,6]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[2,4,8,3,6,7,1,5]=>[4,2,3,1,6,8,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[1,6,5,8,7,3,2,4]=>[1,8,6,5,7,3,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[7,2,6,8,3,5,1,4]=>[2,3,7,1,6,8,5,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[4,8,3,7,6,1,2,5]=>[1,4,8,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[2,8,4,7,1,3,6,5]=>[8,2,1,4,7,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[5,6,7,8,9,2,3,1,4]=>[2,3,5,6,7,8,9,1,4]=>[[1,3,4,6,7,8,9],[2,5]]=>[2,3,4]
[5,6,7,8,9,10,2,3,1,4]=>[2,3,5,6,7,8,9,10,1,4]=>[[1,3,4,6,7,8,9,10],[2,5]]=>[2,3,5]
[4,5,6,7,8,1,9,2,3]=>[1,4,5,6,7,8,9,2,3]=>[[1,2,3,6,7,8,9],[4,5]]=>[4,5]
[6,8,3,4,5,2,1,7]=>[3,4,6,5,8,2,1,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[3,7,1,4,5,6,2,8]=>[3,4,1,5,7,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[3,8,2,4,5,1,7,6]=>[8,3,2,4,5,7,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[3,7,2,1,5,6,4,8]=>[7,3,2,1,5,6,4,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[1,6,8,5,4,3,7,2]=>[6,5,8,4,1,3,7,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[2,5,7,8,4,3,1,6]=>[5,2,7,4,8,3,1,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[6,5,8,4,2,1,3,7]=>[2,6,5,4,8,1,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[6,8,5,3,2,4,1,7]=>[3,6,5,8,2,4,1,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[1,6,8,5,3,2,7,4]=>[6,5,8,7,1,3,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[4,6,1,8,7,5,3,2]=>[8,6,4,7,5,3,1,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[3,8,5,1,2,7,6,4]=>[8,7,1,3,5,6,2,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[4,3,1,2,7,5,6,8]=>[1,7,4,3,2,5,6,8]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[4,1,7,6,8,5,3,2]=>[7,6,4,8,5,1,3,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[4,1,7,8,6,5,2,3]=>[1,7,8,4,6,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[4,3,7,6,5,8,1,2]=>[1,7,6,4,3,5,8,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[6,2,4,8,3,5,7,1]=>[2,6,4,3,5,8,7,1]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[4,7,8,5,2,3,6,1]=>[2,4,7,5,8,3,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[4,7,6,1,2,3,8,5]=>[7,1,2,6,4,8,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[3,4,5,6,7,8,1,9,2,10]=>[3,4,5,6,7,8,9,1,2,10]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[3,7]
[4,5,2,6,7,8,1,3]=>[2,4,5,1,6,7,8,3]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[7,5,8,4,2,1,3,6]=>[2,5,7,4,8,1,3,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[1,7,6,2,3,8,5,4]=>[7,6,1,8,5,2,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[4,5,1,3,7,6,2,8]=>[7,4,1,5,3,6,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[7,2,3,8,6,4,5,1]=>[2,7,8,3,6,4,5,1]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[1,3,7,5,8,4,6,2]=>[5,7,3,1,4,8,6,2]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[3,5,7,1,6,4,2,8]=>[5,3,7,6,1,4,2,8]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[5,1,3,7,8,2,6,4]=>[5,7,1,3,2,8,6,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[1,6,2,7,8,5,4,3]=>[6,7,8,5,1,2,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[5,8,1,2,7,6,4,3]=>[8,5,7,1,6,2,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[1,6,7,4,5,3,2,8]=>[6,4,1,7,5,3,2,8]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[1,4,5,3,2,8,6,7]=>[4,8,5,1,3,2,6,7]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[1,8,2,4,6,5,3,7]=>[6,8,1,2,4,5,3,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[1,3,5,4,2,8,6,7]=>[5,8,3,1,4,2,6,7]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[8,5,7,3,2,6,4,1]=>[5,8,3,7,6,2,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[2,8,7,1,5,3,4,6]=>[2,1,8,3,7,5,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[8,1,5,2,4,3,6,7]=>[1,5,8,2,4,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[1,7,2,6,4,3,8,5]=>[7,6,8,1,4,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[6,8,2,1,3,7,4,5]=>[2,6,1,8,3,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[5,6,1,3,4,8,2,7]=>[3,1,5,6,4,2,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[6,7,1,8,2,4,5,3]=>[6,1,2,7,8,4,5,3]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[6,1,7,8,2,3,5,4]=>[6,1,2,7,8,3,5,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[1,4,8,7,2,3,6,5]=>[8,1,4,7,2,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,5,6,3,1,4,7,2]=>[3,5,6,8,4,1,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[8,5,1,6,2,4,7,3]=>[5,1,6,8,4,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[8,5,6,2,3,7,1,4]=>[2,3,5,6,8,1,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[8,4,2,6,5,7,1,3]=>[2,4,8,6,1,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[3,8,1,2,6,4,5,7]=>[1,3,8,2,4,6,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[4,2,7,8,1,5,3,6]=>[4,2,7,1,5,8,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[4,3,7,1,5,8,2,6]=>[4,3,1,7,5,2,8,6]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[2,5,6,8,7,1,3,4]=>[2,1,8,3,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[2,8,3,4,6,1,7,5]=>[8,2,3,4,6,7,1,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[1,5,6,4,7,8,2,3]=>[1,5,6,2,4,7,8,3]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[1,2,4,8,7,5,6,3]=>[8,1,7,4,2,5,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[1,8,6,5,2,7,4,3]=>[6,8,5,7,4,1,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[2,7,3,4,8,6,1,5]=>[2,7,3,8,4,1,6,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[1,4,8,6,5,3,7,2]=>[6,8,4,5,1,3,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[1,7,2,8,6,5,4,3]=>[7,8,6,5,4,1,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[3,7,4,2,1,6,8,5]=>[7,3,6,4,2,1,8,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[6,8,2,3,4,5,7,1]=>[2,3,4,6,5,8,7,1]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[7,3,8,2,4,5,1,6]=>[3,2,4,7,5,8,1,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[5,7,2,3,8,6,4,1]=>[7,5,2,8,6,3,4,1]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[3,5,4,1,7,8,6,2]=>[7,5,3,4,8,1,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[8,5,6,1,7,2,3,4]=>[1,2,5,6,8,7,3,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[6,8,7,2,1,5,4,3]=>[8,6,2,7,5,4,1,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[6,7,3,5,4,2,8,1]=>[6,3,7,5,4,2,8,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[6,5,1,7,3,8,4,2]=>[6,5,7,8,3,1,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[6,2,7,5,4,3,8,1]=>[6,7,5,4,2,3,8,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[7,8,6,2,5,4,3,1]=>[7,8,2,6,5,4,3,1]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[6,1,8,3,7,5,4,2]=>[6,8,7,5,1,3,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[6,1,2,8,7,5,4,3]=>[8,6,7,5,1,4,2,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[8,1,6,3,7,5,4,2]=>[8,6,7,1,5,3,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[8,2,6,5,3,7,4,1]=>[6,8,5,2,7,3,4,1]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[8,5,1,3,7,6,4,2]=>[8,5,7,1,6,3,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[7,8,4,6,5,3,2,1]=>[7,4,8,6,5,3,2,1]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[4,3,1]
[2,7,5,8,6,4,3,1]=>[7,8,5,6,2,4,3,1]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[1,2,7,3,8,4,5,9,6]=>[7,1,8,9,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9]]=>[7,2]
[1,2,7,3,4,5,8,9,6]=>[7,1,2,8,3,4,5,9,6]=>[[1,2,3,4,5,6],[7,8,9]]=>[7,2]
[1,2,3,7,4,5,8,9,6]=>[7,1,8,2,3,4,5,9,6]=>[[1,2,3,4,5,6],[7,8,9]]=>[7,2]
[6,1,5,7,4,3,8,2]=>[6,5,7,1,4,3,8,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[6,8,3,7,4,2,5,1]=>[3,6,8,4,7,2,5,1]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[8,2,4,7,5,6,1,3]=>[2,1,8,4,5,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[5,6,1,7,2,8,3,9,4,10]=>[5,6,7,8,9,1,2,3,4,10]=>[[1,2,3,4,9,10],[5,6,7,8]]=>[5,5]
[6,4,2,8,1,5,3,7]=>[4,6,2,8,1,5,3,7]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[6,8,4,7,3,2,5,1]=>[4,6,3,8,7,2,5,1]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[5,8,7,2,6,4,3,1]=>[5,8,7,6,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[6,8,7,3,5,1,4,2]=>[3,8,1,6,7,5,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[1,6,4,8,7,3,2,5]=>[4,8,6,1,7,3,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[7,5,3,6,8,2,4,1]=>[3,5,7,2,6,8,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[8,6,7,2,3,5,4,1]=>[6,2,3,8,7,5,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[5,4,8,6,7,3,1,2]=>[1,5,8,4,6,7,3,2]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[7,3,6,4,2,1,8,5]=>[7,6,3,8,4,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[4,8,5,2,7,3,1,6]=>[4,5,8,2,7,3,1,6]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[6,4,3,1,8,5,2,7]=>[6,4,8,3,5,1,2,7]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[7,4,8,6,5,3,1,2]=>[1,7,8,6,4,5,3,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[4,8,5,2,6,7,3,1]=>[4,5,8,6,2,7,3,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[7,3,2,1,8,5,6,4]=>[7,3,8,5,2,1,6,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[2,1,3,4,5,9,6,7,8]=>[2,1,9,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,7]
[5,1,3,8,2,7,4,6]=>[5,1,8,3,2,4,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[5,7,1,3,2,8,4,6]=>[5,1,7,3,8,2,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[7,1,6,3,2,8,4,5]=>[1,7,6,8,3,2,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[7,1,2,6,4,3,8,5]=>[7,6,8,1,2,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[8,7,3,5,4,1,2,6]=>[1,3,8,5,7,4,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[6,3,8,5,7,2,1,4]=>[3,6,2,8,5,7,1,4]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[8,7,3,6,4,1,2,5]=>[1,3,8,4,7,6,2,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[7,6,3,4,1,8,2,5]=>[3,4,7,6,1,8,2,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[6,3,5,2,8,1,4,7]=>[3,2,6,5,1,4,8,7]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[8,7,2,4,3,1,5,6]=>[2,4,8,3,7,1,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[7,6,2,3,1,4,8,5]=>[7,2,3,6,8,1,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[3,7,6,1,2,5,4,8]=>[7,1,3,6,2,5,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[2,7,3,4,8,1,5,6]=>[2,3,4,7,1,5,8,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[4,7,6,2,3,1,5,8]=>[2,4,7,3,6,1,5,8]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[2,7,6,4,3,8,1,5]=>[4,7,6,2,3,1,8,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[4,7,6,1,3,2,8,5]=>[7,6,1,4,8,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[7,6,3,1,8,5,2,4]=>[3,7,6,8,1,5,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[1,6,4,7,8,5,3,2]=>[6,7,4,8,1,5,3,2]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[7,2,5,8,6,1,3,4]=>[2,1,7,3,8,5,6,4]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[5,1,6,4,2,7,8,3]=>[5,6,4,7,1,2,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[6,7,3,8,1,4,2,5]=>[3,1,6,7,8,4,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[4,1,3,6,2,5,8,7]=>[8,4,1,3,2,6,5,7]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[3,1,2,6,5,4,8,7]=>[8,6,5,1,3,2,4,7]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[6,3,5,2,1,7,8,4]=>[6,3,5,7,2,1,8,4]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[1,3,4,7,2,8,6,5]=>[7,8,3,1,4,6,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[3,7,4,1,5,2,8,6]=>[7,3,8,4,5,1,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[2,3,4,7,8,5,1,6]=>[2,7,3,4,5,8,1,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[5,2,4,7,8,3,1,6]=>[5,2,4,3,7,8,1,6]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[5,1,6,4,7,8,3,2]=>[5,6,4,7,1,8,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[5,3,1,2,6,8,7,4]=>[8,5,1,6,3,2,7,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[6,4,7,8,1,3,2,5]=>[1,6,4,3,7,8,2,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[6,3,4,8,2,1,5,7]=>[3,4,6,2,1,8,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[2,7,8,1,5,4,3,6]=>[2,7,8,1,5,4,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[7,3,4,8,1,5,2,6]=>[3,4,1,7,8,5,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[4,7,1,5,2,6,8,3]=>[4,7,1,5,6,2,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[7,4,1,5,2,6,8,3]=>[4,5,7,6,1,2,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[3,1,6,7,5,2,8,4]=>[6,7,3,5,1,8,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[8,6,7,5,2,1,4,3]=>[6,2,8,7,5,4,1,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[3,1,6,4,2,8,7,5]=>[8,6,7,3,4,1,2,5]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[6,5,1,8,2,3,7,4]=>[6,1,5,8,2,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[4,2,1,7,6,3,8,5]=>[7,6,4,8,2,1,3,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[5,3,1,8,7,6,2,4]=>[3,8,7,5,1,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[4,3,1,6,2,8,7,5]=>[8,6,4,3,7,1,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[6,5,3,1,8,7,2,4]=>[3,8,6,5,1,7,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[4,1,6,5,2,8,7,3]=>[8,6,4,5,7,1,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[8,4,1,5,6,2,7,3]=>[4,8,1,5,6,7,2,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[8,4,5,3,6,1,7,2]=>[4,5,3,8,6,7,1,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[5,2,3,1,6,7,4,8]=>[5,2,6,3,1,7,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[1,5,7,6,3,8,2,4]=>[1,7,5,6,3,2,8,4]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[2,6,3,1,7,8,4,5]=>[2,6,7,3,1,4,8,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,1,7,8,3,5,4,6]=>[2,7,1,8,3,5,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[1,5,8,6,7,4,2,3]=>[1,8,5,2,6,7,4,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[4,7,6,5,8,1,3,2]=>[7,1,6,4,5,8,3,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[5,6,4,7,1,8,3,2]=>[5,6,4,7,8,3,1,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[5,3,7,4,6,1,8,2]=>[5,3,7,4,6,8,1,2]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[4,1,5,7,8,6,3,2]=>[7,4,5,8,1,6,3,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[3,6,7,1,5,4,8,2]=>[6,3,7,1,5,4,8,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[8,1,2,3,4,5,10,6,9,7]=>[8,10,1,2,3,4,5,9,6,7]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>[8,2]
[8,1,7,3,2,4,5,6]=>[1,3,2,8,7,4,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[6,5,3,7,8,1,4,2]=>[3,6,5,7,1,8,4,2]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[1,5,6,7,3,8,4,2]=>[5,6,7,1,8,3,4,2]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[6,4,7,1,5,2,8,3]=>[4,6,7,5,1,8,2,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[5,6,7,4,2,1,8,3]=>[5,6,7,4,8,2,1,3]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,3,4,7,8,2,6,1]=>[3,5,4,2,7,8,6,1]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[5,8,3,7,4,1,2,6]=>[1,5,3,8,4,7,2,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[5,7,3,1,4,2,8,6]=>[7,3,5,8,4,1,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[5,7,3,8,4,2,1,6]=>[5,3,7,8,4,2,1,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[3,2,8,4,5,1,7,6]=>[8,3,2,7,4,5,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[1,7,4,3,5,8,2,6]=>[4,3,7,1,5,2,8,6]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[7,4,8,5,2,3,6,1]=>[2,4,7,8,5,3,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[4,8,5,2,3,6,7,1]=>[2,4,5,8,3,6,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[1,6,5,2,8,7,4,3]=>[8,6,5,7,4,1,2,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[2,3,4,5,1,6,7,9,8]=>[9,2,3,4,5,1,6,7,8]=>[[1,3,4,5,6,7,8],[2],[9]]=>[2,7]
[4,1,7,2,5,8,3,6]=>[4,1,7,5,2,3,8,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[3,6,1,7,4,2,8,5]=>[6,7,3,8,4,1,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[5,6,3,2,8,7,4,1]=>[8,5,6,7,3,2,4,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[3,2,5,8,6,4,1,7]=>[5,8,3,2,6,4,1,7]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[2,3,5,8,4,6,1,7]=>[5,2,3,4,6,8,1,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[4,5,1,7,2,8,6,3]=>[7,4,5,8,6,1,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[2,6,3,1,8,7,5,4]=>[8,6,7,5,2,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[3,7,5,2,8,6,4,1]=>[7,8,5,3,6,2,4,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[2,8,5,3,6,7,4,1]=>[5,8,2,6,3,7,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[2,8,6,3,4,7,5,1]=>[6,2,8,7,3,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[4,7,1,8,5,3,6,2]=>[4,7,5,8,3,1,6,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[4,8,6,3,5,2,7,1]=>[4,3,8,6,5,2,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[5,4,2,3,8,7,1,6]=>[2,8,5,4,3,1,7,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[3,8,6,1,5,7,2,4]=>[3,1,8,2,6,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[7,3,6,1,5,8,2,4]=>[3,1,7,2,6,5,8,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[6,4,7,2,5,3,1,8]=>[4,6,7,2,5,3,1,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[7,1,4,3,6,8,2,5]=>[1,7,4,3,2,6,8,5]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[1,8,6,3,5,4,7,2]=>[8,1,6,5,3,4,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[4,8,6,3,5,1,7,2]=>[4,3,8,6,5,7,1,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[6,1,2,4,3,8,5,7]=>[6,1,8,2,4,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[5,3,8,7,1,6,2,4]=>[3,5,8,1,7,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[5,6,2,4,7,3,1,8]=>[5,2,6,4,7,3,1,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[3,5,1,7,4,2,8,6]=>[7,5,3,8,4,1,2,6]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[5,2,6,7,4,3,1,8]=>[5,6,7,2,4,3,1,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[8,5,1,6,4,3,2,7]=>[5,6,8,4,3,1,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[8,6,3,5,2,7,1,4]=>[3,2,6,8,5,1,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[6,7,1,4,8,5,3,2]=>[6,7,8,1,4,5,3,2]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[7,3,2,8,5,1,4,6]=>[3,2,7,8,1,5,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[4,1,7,3,2,8,5,6]=>[4,7,3,8,1,2,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[8,3,5,2,4,7,1,6]=>[3,2,5,4,8,1,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[1,2,6,3,7,8,5,4]=>[6,7,8,1,2,3,5,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[6,1,3,7,8,5,4,2]=>[6,7,8,1,3,5,4,2]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[8,2,7,6,3,5,1,4]=>[2,3,8,7,1,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[1,6,7,3,5,8,2,4]=>[1,6,3,2,7,5,8,4]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[1,3,2,5,6,7,8,9,4]=>[5,3,1,2,6,7,8,9,4]=>[[1,2,4,7,8,9],[3,6],[5]]=>[3,2,4]
[6,4,1,7,5,8,2,3]=>[1,6,7,4,5,2,8,3]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[7,2,5,1,4,3,6,8]=>[2,7,1,5,4,3,6,8]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[4,6,5,2,3,1,7,8]=>[2,6,4,5,3,1,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[4,5,7,1,3,2,8,6]=>[7,4,1,5,8,3,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[1,6,5,8,3,4,7,2]=>[6,1,5,3,4,8,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[2,6,4,7,5,3,1,8]=>[6,7,4,2,5,3,1,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[5,6,3,7,2,8,4,1]=>[5,6,7,3,8,2,4,1]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,6,1,8,7,2,3,4]=>[1,2,8,5,6,7,3,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[4,6,2,8,7,1,3,5]=>[2,4,8,1,6,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[4,2,6,7,8,5,1,3]=>[2,6,4,1,7,8,5,3]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[5,3,8,6,7,1,4,2]=>[3,5,8,6,1,7,4,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[2,8,3,4,5,6,1,7]=>[2,3,4,5,8,6,1,7]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[3,2,8,1,5,6,4,7]=>[5,3,2,1,6,8,4,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[5,8,7,3,2,1,4,6]=>[3,5,8,2,7,1,4,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[2,8,1,3,7,5,6,4]=>[8,2,5,1,3,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[4,2,7,1,5,8,3,6]=>[4,2,7,1,5,3,8,6]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[4,1,6,2,5,8,3,7]=>[4,6,1,5,2,3,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[1,8,2,5,7,3,4,6]=>[1,2,8,3,5,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[1,4,7,5,2,3,6,8]=>[1,4,7,2,5,3,6,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[1,4,8,3,7,6,2,5]=>[4,8,3,1,2,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[1,4,5,3,7,2,6,8]=>[4,5,1,3,2,7,6,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[3,5,7,2,1,8,4,6]=>[5,3,2,7,8,1,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[2,4,7,8,3,6,1,5]=>[4,2,3,1,7,8,6,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[2,8,6,7,1,3,4,5]=>[2,1,3,4,8,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[2,3,5,4,8,1,6,7]=>[5,2,3,4,1,6,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[6,7,1,3,5,4,8,2]=>[6,3,1,7,5,4,8,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[5,6,8,2,7,1,3,4]=>[2,1,5,6,3,8,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[6,7,1,5,4,8,3,2]=>[6,7,5,1,4,8,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[6,5,4,7,1,8,3,2]=>[6,5,4,7,8,3,1,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[8,3,1,6,5,4,7,2]=>[6,8,3,5,4,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[3,1,6,7,2,8,5,4]=>[6,7,3,8,1,5,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[1,6,8,5,3,4,7,2]=>[6,1,3,8,5,4,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[8,3,6,4,7,1,5,2]=>[3,4,8,6,7,1,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[6,5,1,3,8,4,7,2]=>[6,5,1,3,8,4,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[7,3,1,2,6,8,5,4]=>[7,6,1,3,8,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[6,8,4,5,1,7,3,2]=>[4,6,5,8,7,3,1,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[8,4,5,1,6,7,3,2]=>[4,5,8,6,1,7,3,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[4,5,8,6,1,7,2,3]=>[1,4,8,5,6,7,2,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[4,3,7,5,1,2,6,8]=>[1,4,7,3,5,2,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[6,3,7,5,4,2,1,8]=>[6,7,5,3,4,2,1,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[2,5,3,1,7,6,4,8]=>[7,5,6,2,3,1,4,8]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[5,3,1,2,7,6,4,8]=>[7,5,1,6,3,2,4,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[5,6,4,1,3,2,7,8]=>[5,1,6,4,3,2,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[4,8,1,7,5,6,3,2]=>[4,8,5,7,1,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[1,5,7,2,8,4,6,3]=>[5,7,1,8,2,4,6,3]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[1,8,7,5,2,6,3,4]=>[1,5,8,7,6,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[1,8,7,3,6,4,2,5]=>[1,8,7,3,6,4,2,5]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[1,5,8,2,6,3,4,7]=>[1,5,2,8,3,6,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[6,3,5,1,4,2,7,8]=>[3,6,1,5,4,2,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[6,8,3,2,7,5,1,4]=>[3,6,8,2,7,1,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[7,4,2,1,3,8,6,5]=>[7,8,2,6,4,1,3,5]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[7,3,6,8,1,2,5,4]=>[7,1,3,2,6,8,5,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[7,3,5,6,8,2,4,1]=>[3,2,5,7,6,8,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[7,3,2,1,5,8,6,4]=>[7,8,3,5,2,1,6,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[4,1,5,7,2,6,3,8]=>[4,5,7,1,2,6,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[5,7,2,1,3,6,4,8]=>[5,2,7,1,6,3,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[7,2,5,8,6,4,3,1]=>[7,8,5,2,6,4,3,1]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[2,5,4,1,7,6,3,8]=>[7,5,4,2,6,1,3,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[5,1,6,8,3,2,4,7]=>[1,5,6,3,8,2,4,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[2,7,8,6,5,3,4,1]=>[2,7,8,6,3,5,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[3,5,6,7,2,4,1,8]=>[3,2,5,6,7,4,1,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[6,4,7,5,2,3,1,8]=>[2,6,7,4,5,3,1,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[1,5,6,4,8,3,2,7]=>[5,6,4,1,3,8,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[5,1,4,7,8,6,2,3]=>[1,7,5,2,4,8,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[1,6,7,2,8,5,4,3]=>[6,7,8,5,1,4,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[5,3,2,1,7,8,6,4]=>[7,5,8,3,2,1,6,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[7,4,3,8,6,1,5,2]=>[4,7,8,3,6,1,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[4,3,7,1,5,8,6,2]=>[7,4,3,8,1,5,6,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[8,2,4,5,3,1,7,6]=>[8,4,2,5,7,3,1,6]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[1,4,3,2,7,5,8,6]=>[7,8,4,3,1,2,5,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[4,5,8,2,1,7,3,6]=>[4,5,2,8,1,7,3,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[6,8,4,1,7,3,2,5]=>[4,6,3,8,7,1,2,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[5,6,4,3,2,1,7,8,9]=>[5,6,4,3,2,1,7,8,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>[5,4]
[5,6,4,3,2,1,7,8,9,10]=>[5,6,4,3,2,1,7,8,9,10]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>[5,5]
[4,5,3,2,1,6,7,8,9]=>[4,5,3,2,1,6,7,8,9]=>[[1,5,6,7,8,9],[2],[3],[4]]=>[4,5]
[6,7,5,4,3,2,1,8,9,10]=>[6,7,5,4,3,2,1,8,9,10]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>[6,4]
[5,6,4,3,2,7,1,8,9]=>[5,6,4,3,2,7,1,8,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>[5,4]
[6,7,9,8,5,4,3,2,1]=>[9,6,7,8,5,4,3,2,1]=>[[1,7,8],[2],[3],[4],[5],[6],[9]]=>[6,3]
[7,6,8,9,5,4,3,2,1]=>[7,6,8,9,5,4,3,2,1]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,2]
[7,6,8,5,9,4,3,2,1]=>[7,6,8,5,9,4,3,2,1]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,2]
[8,7,9,10,6,5,4,3,2,1]=>[8,7,9,10,6,5,4,3,2,1]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[8,2]
[3,8,5,2,1,7,6,4]=>[8,7,3,5,6,2,1,4]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[2,4,8,7,5,1,6,3]=>[8,2,7,4,5,6,1,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[6,4,1,3,2,5,7,8]=>[1,6,4,3,2,5,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[1,8,2,4,5,3,7,6]=>[8,1,7,2,4,5,3,6]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[5,6,8,2,7,4,3,1]=>[5,6,8,7,2,4,3,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[7,6,2,8,4,5,3,1]=>[7,2,6,8,4,5,3,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[5,7,6,2,8,4,3,1]=>[7,5,6,8,4,2,3,1]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[8,2,4,3,7,1,5,6]=>[2,4,3,8,1,5,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[1,4,8,5,7,3,2,6]=>[4,8,1,5,3,7,2,6]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[6,5,1,4,8,7,3,2]=>[8,6,5,1,4,7,3,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[6,2,5,4,1,7,3,8]=>[6,5,2,4,7,1,3,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[4,1,2,6,5,7,3,8]=>[6,4,1,5,2,7,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[5,7,6,3,4,1,8,2]=>[3,7,5,6,4,8,1,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[5,3,1,6,4,7,8,2]=>[5,6,3,4,1,7,8,2]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[8,3,5,6,4,1,7,2]=>[5,3,6,8,4,7,1,2]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[2,1,5,7,3,6,4,8]=>[5,7,2,1,3,6,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[6,4,5,8,2,1,3,7]=>[2,4,6,5,1,8,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[5,3,8,6,1,7,2,4]=>[3,5,8,1,6,7,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[7,1,5,6,4,8,2,3]=>[1,5,7,2,6,4,8,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[1,8,3,6,2,5,7,4]=>[8,1,3,6,2,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[7,1,2,6,4,3,5,8]=>[1,7,6,2,4,3,5,8]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[5,1,2,7,4,3,8,6]=>[7,5,8,1,4,2,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[2,1,4,7,3,8,6,5]=>[7,8,4,2,1,6,3,5]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[2,7,4,6,3,5,8,1]=>[2,7,4,3,6,5,8,1]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[7,1,4,6,3,5,8,2]=>[4,3,1,7,6,5,8,2]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[4,3,6,7,2,5,8,1]=>[4,3,2,6,7,5,8,1]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[4,7,8,6,2,3,5,1]=>[2,4,7,3,8,6,5,1]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[4,8,6,2,3,5,7,1]=>[2,4,3,8,6,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[3,2,8,6,4,7,5,1]=>[6,8,7,3,2,4,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[2,8,4,7,3,1,5,6]=>[2,4,8,3,1,7,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[2,3,1,4,8,7,5,6]=>[2,8,7,3,1,4,5,6]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[3,1,5,8,2,6,4,7]=>[5,3,1,8,2,6,4,7]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[7,1,2,4,8,6,5,3]=>[7,8,6,1,2,4,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[5,2,4,1,8,7,6,3]=>[8,7,5,2,4,6,1,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[2,5,3,1,8,7,6,4]=>[8,7,5,6,2,3,1,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[4,3,5,1,8,7,6,2]=>[8,7,4,3,5,6,1,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[2,7,5,6,4,8,1,3]=>[2,7,1,5,6,4,8,3]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[3,8,4,7,1,5,6,2]=>[3,4,8,1,5,7,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[3,6,7,1,5,8,4,2]=>[6,3,7,1,5,8,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[2,8,3,6,5,7,1,4]=>[2,3,8,6,1,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[4,3,7,1,8,6,2,5]=>[4,7,3,1,8,6,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[3,8,1,6,2,4,7,5]=>[8,3,1,2,6,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,2,4,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8],[9]]=>[2,7]
[3,1,2,4,8,7,5,6]=>[1,8,7,3,2,4,5,6]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[1,6,8,4,7,3,5,2]=>[4,6,3,1,8,7,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[6,8,5,1,4,7,3,2]=>[6,5,1,8,4,7,3,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[1,3,6,8,5,4,7,2]=>[6,8,1,3,5,4,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[2,7,4,6,3,8,1,5]=>[2,7,4,3,6,1,8,5]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[2,7,4,8,3,1,5,6]=>[4,2,7,3,1,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[8,2,1,3,7,4,6,5]=>[8,2,7,1,3,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[7,8,2,3,6,4,5,1]=>[2,7,3,4,8,6,5,1]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[8,1,2,7,5,3,4,6]=>[1,2,8,7,3,5,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[4,2,8,1,3,7,5,6]=>[2,8,4,1,3,5,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[7,5,1,8,2,3,4,6]=>[1,2,5,7,3,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[8,2,4,1,3,7,5,6]=>[2,8,1,4,3,7,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[7,1,8,2,3,6,4,5]=>[1,7,2,3,8,6,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[4,2,6,7,5,1,8,3]=>[6,4,7,2,5,8,1,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[2,4,7,6,3,8,1,5]=>[4,7,2,3,6,1,8,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[4,6,8,5,1,2,3,7]=>[1,2,6,4,5,8,3,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[8,5,3,4,7,6,1,2]=>[1,8,3,5,7,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[1,6,5,8,3,2,4,7]=>[1,6,5,3,8,2,4,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[7,1,8,5,3,2,4,6]=>[3,5,7,8,1,2,4,6]=>[[1,2,4,6],[3,5,7,8]]=>[3,2,2,1]
[8,2,7,5,4,1,6,3]=>[8,2,7,5,4,6,1,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[8,6,1,2,7,3,5,4]=>[6,1,8,2,7,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[6,2,1,5,7,8,3,4]=>[2,6,1,5,3,7,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[4,2,8,5,7,1,6,3]=>[4,8,2,5,7,1,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[4,8,5,1,2,6,3,7]=>[4,1,5,8,6,2,3,7]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[6,8,2,5,7,3,4,1]=>[2,6,3,5,8,7,4,1]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[8,6,7,2,4,3,5,1]=>[2,6,4,8,7,3,5,1]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[7,2,5,8,4,6,3,1]=>[7,2,5,4,8,6,3,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[6,8,7,4,5,3,2,1]=>[4,8,6,7,5,3,2,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[2,6,5,8,3,7,4,1]=>[6,5,8,2,3,7,4,1]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[5,6,2,3,8,7,4,1]=>[8,5,2,6,7,3,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[2,6,4,7,5,1,3,8]=>[2,6,7,1,4,5,3,8]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[8,3,1,4,6,5,7,2]=>[3,8,6,1,4,5,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[6,4,8,1,5,2,3,7]=>[1,4,6,2,8,5,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[1,4,7,3,8,6,5,2]=>[7,8,4,6,1,3,5,2]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[2,6,1,5,3,4,8,7]=>[8,2,6,1,3,5,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[3,8,7,5,4,2,6,1]=>[5,8,7,3,4,2,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[2,8,7,3,1,4,5,6]=>[2,3,1,8,7,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[7,8,5,1,4,6,2,3]=>[1,5,2,7,8,4,6,3]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[8,2,7,5,4,6,1,3]=>[2,1,8,7,5,4,6,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[4,6,7,1,3,2,8,5]=>[6,4,1,7,8,3,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[6,4,7,5,3,2,8,1]=>[6,7,4,5,3,2,8,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[8,4,6,3,1,5,7,2]=>[4,3,6,8,5,1,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[7,3,1,4,5,6,8,2]=>[3,4,1,7,5,6,8,2]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[7,8,1,2,4,5,3,6]=>[4,1,2,5,7,8,3,6]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[1,8,5,7,3,2,6,4]=>[5,8,7,1,3,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[1,7,5,8,3,2,6,4]=>[5,7,8,1,6,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[7,3,2,4,1,8,5,6]=>[3,7,2,8,4,1,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[6,3,2,4,7,1,5,8]=>[3,2,6,4,1,7,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[6,7,3,4,2,1,8,5]=>[6,3,7,8,4,2,1,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[6,4,8,3,1,5,7,2]=>[4,6,3,8,1,5,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[5,2,8,7,6,3,4,1]=>[2,8,7,5,6,3,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[3,6,8,7,4,5,1,2]=>[1,3,8,6,4,7,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[1,6,8,7,4,5,2,3]=>[1,8,2,6,4,7,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[8,3,5,7,1,4,2,6]=>[3,5,1,4,8,7,2,6]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[5,8,4,2,6,3,1,7]=>[5,4,6,8,2,3,1,7]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[2,5,3,8,6,4,1,7]=>[5,8,6,2,3,4,1,7]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[7,4,2,8,5,3,1,6]=>[4,7,8,5,2,3,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[7,8,3,2,6,4,1,5]=>[3,7,2,8,6,4,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[5,2,3,8,6,4,1,7]=>[5,8,2,6,3,4,1,7]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[5,7,4,1,8,3,6,2]=>[5,4,7,8,1,3,6,2]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[6,8,1,7,3,4,5,2]=>[3,1,6,8,4,7,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[6,7,1,5,4,3,2,8]=>[6,7,5,1,4,3,2,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[5,8,4,1,3,2,7,6]=>[8,5,1,4,7,3,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[5,8,4,1,3,2,6,7]=>[5,1,4,3,8,2,6,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[5,6,4,3,1,7,8,2]=>[5,6,4,3,7,1,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[6,8,1,5,3,7,4,2]=>[6,5,8,1,7,3,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[7,8,1,3,4,2,5,6]=>[3,1,4,2,7,8,5,6]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,1]
[6,8,1,4,3,5,2,7]=>[6,1,4,3,8,5,2,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[5,3,4,7,6,1,8,2]=>[7,3,5,4,6,8,1,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[4,2,5,3,6,7,1,8]=>[4,5,2,3,6,7,1,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[8,4,6,2,7,1,5,3]=>[4,6,2,8,7,1,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[5,4,3,8,6,2,1,7]=>[5,8,4,3,6,2,1,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[8,7,4,1,5,3,2,6]=>[4,5,8,7,3,1,2,6]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[4,5,2,1,6,3,8,7]=>[8,4,5,6,2,1,3,7]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[4,5,2,1,6,7,3,8]=>[4,5,6,2,1,7,3,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[2,5,1,6,4,3,8,7]=>[8,5,6,2,4,1,3,7]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[4,1,2,5,7,6,3,8]=>[7,4,1,5,2,6,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[4,6,5,8,1,7,3,2]=>[6,4,5,8,7,1,3,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[2,1,3,6,4,8,7,5]=>[8,6,7,2,1,3,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[5,7,2,4,6,3,8,1]=>[5,2,4,7,6,3,8,1]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[8,6,7,3,1,5,4,2]=>[6,3,8,7,5,4,1,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[1,6,4,3,8,7,5,2]=>[8,6,7,4,3,1,5,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[7,3,2,6,5,8,4,1]=>[7,6,3,5,2,8,4,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[4,5,1,6,8,7,2,3]=>[1,8,4,5,6,2,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[3,4,7,2,5,8,6,1]=>[7,3,4,2,8,5,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[6,8,3,5,2,4,7,1]=>[3,2,6,5,8,4,7,1]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[3,8,7,6,1,5,2,4]=>[3,1,8,7,6,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[3,1,2,8,5,4,6,7]=>[5,1,8,3,2,4,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[3,8,7,2,6,1,4,5]=>[3,2,1,8,4,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[8,1,5,7,2,3,4,6]=>[1,2,5,3,4,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[5,3,8,1,6,2,7,4]=>[5,8,3,1,6,7,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[4,1,5,8,2,3,7,6]=>[8,1,4,5,2,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[4,8,1,2,6,3,5,7]=>[4,1,2,3,8,6,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[5,6,8,4,2,7,1,3]=>[2,5,6,4,8,1,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[4,3,8,6,1,2,5,7]=>[1,4,3,8,2,6,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[4,8,6,5,7,1,3,2]=>[6,1,8,4,5,7,3,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[7,3,4,1,5,6,8,2]=>[3,4,7,1,5,6,8,2]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[8,7,5,6,4,1,3,2]=>[5,1,8,7,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[7,2,4,5,3,1,6,8]=>[4,2,5,7,3,1,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[7,4,2,6,3,5,8,1]=>[4,2,7,6,3,5,8,1]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[4,6,2,8,5,3,1,7]=>[6,4,5,8,2,3,1,7]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[7,6,3,1,4,5,8,2]=>[3,7,1,6,4,5,8,2]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[7,2,4,1,5,6,8,3]=>[4,2,7,1,5,6,8,3]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[7,2,3,5,6,8,1,4]=>[2,3,1,5,7,6,8,4]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[4,1,3,8,5,7,2,6]=>[1,8,4,3,5,2,7,6]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[3,7,4,6,2,1,8,5]=>[7,3,6,4,8,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[5,3,4,7,8,1,6,2]=>[3,5,4,7,1,8,6,2]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[4,3,7,6,5,1,8,2]=>[7,6,4,3,5,8,1,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[5,1,4,8,2,3,7,6]=>[8,1,5,2,4,3,7,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[6,7,8,4,5,1,3,2]=>[4,1,6,7,8,5,3,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[3,8,5,6,7,1,4,2]=>[3,5,1,8,6,7,4,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[7,1,4,2,3,8,5,6]=>[1,7,2,8,4,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[3,2,8,5,4,1,6,7]=>[5,3,8,2,4,1,6,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[8,1,2,7,3,5,4,6]=>[1,8,2,7,3,5,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[1,2,7,5,6,3,4,8]=>[1,7,2,5,3,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[4,8,1,2,3,6,5,7]=>[1,8,2,4,3,6,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[1,3,4,2,5,6,7,8,9]=>[3,1,4,2,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[2,1,5,3,6,7,4,8,9]=>[5,6,2,1,3,7,4,8,9]=>[[1,3,4,8,9],[2,6,7],[5]]=>[2,3,4]
[1,3,5,6,4,2,7,8,9]=>[5,3,1,6,4,2,7,8,9]=>[[1,2,7,8,9],[3,4],[5,6]]=>[3,2,4]
[1,3,5,7,8,6,4,2,9]=>[7,5,3,1,8,6,4,2,9]=>[[1,2,9],[3,4],[5,6],[7,8]]=>[3,2,2,2]
[1,3,4,2,5,6,7,8,9,10]=>[3,1,4,2,5,6,7,8,9,10]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[3,7]
[2,1,5,3,6,7,4,8,9,10]=>[5,6,2,1,3,7,4,8,9,10]=>[[1,3,4,8,9,10],[2,6,7],[5]]=>[2,3,5]
[1,3,5,6,4,2,7,8,9,10]=>[5,3,1,6,4,2,7,8,9,10]=>[[1,2,7,8,9,10],[3,4],[5,6]]=>[3,2,5]
[1,3,5,7,8,6,4,2,9,10]=>[7,5,3,1,8,6,4,2,9,10]=>[[1,2,9,10],[3,4],[5,6],[7,8]]=>[3,2,2,3]
[6,2,3,8,7,1,4,5]=>[2,3,8,1,6,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[8,2,3,6,4,7,5,1]=>[8,2,6,3,7,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[4,5,6,3,7,2,8,1,9]=>[4,5,6,3,7,2,8,1,9]=>[[1,5,6,7,8,9],[2],[3],[4]]=>[4,5]
[4,5,1,3,2,6,8,7]=>[8,4,1,5,3,2,6,7]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[5,1,6,3,2,7,8,4]=>[5,6,7,3,1,2,8,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[5,4,1,6,2,7,8,3]=>[5,4,6,7,1,2,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[5,1,3,6,7,8,4,2]=>[5,6,1,3,7,8,4,2]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[7,4,5,2,1,8,3,6]=>[4,5,7,2,8,1,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[6,7,2,3,8,1,5,4]=>[6,2,3,7,8,1,5,4]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[3,8,5,4,7,1,2,6]=>[1,5,3,8,4,2,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[3,6,2,5,7,4,8,1]=>[6,3,2,5,7,4,8,1]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[2,7,1,5,8,6,4,3]=>[7,8,5,2,1,6,4,3]=>[[1,3],[2,4],[5,6],[7,8]]=>[2,3,2,1]
[6,1,8,5,7,4,2,3]=>[1,6,8,5,2,7,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[6,1,8,5,4,7,3,2]=>[6,5,8,4,7,1,3,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[7,6,1,5,4,2,8,3]=>[7,6,5,1,4,8,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[5,1,6,8,7,2,4,3]=>[8,1,5,6,7,2,4,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[4,5,7,6,1,2,8,3]=>[7,1,4,5,6,8,2,3]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[1,8,3,4,2,6,5,7]=>[1,8,6,3,4,2,5,7]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[8,3,4,6,1,5,7,2]=>[3,4,6,1,8,5,7,2]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[8,4,5,6,1,7,2,3]=>[1,4,5,6,8,7,2,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[7,2,4,3,6,1,8,5]=>[7,2,6,4,3,8,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[6,1,8,4,2,5,7,3]=>[4,6,8,1,5,2,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[6,4,8,1,5,2,7,3]=>[4,6,8,1,5,7,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[5,8,6,4,2,7,3,1]=>[5,8,6,4,7,2,3,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[3,7,5,1,8,4,2,6]=>[5,7,3,4,8,1,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[3,8,1,4,5,7,6,2]=>[8,3,4,1,5,7,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[5,7,2,1,3,4,8,6]=>[7,2,1,5,8,3,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[5,6,2,3,1,4,8,7]=>[8,2,3,5,6,1,4,7]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[4,6,3,5,1,8,2,7]=>[4,3,6,5,1,8,2,7]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[5,3,4,6,1,2,8,7]=>[8,1,3,5,4,6,2,7]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[8,5,7,6,2,3,4,1]=>[2,3,8,5,7,6,4,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[6,5,3,7,4,8,1,2]=>[1,6,5,7,3,4,8,2]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[2,7,4,6,8,1,5,3]=>[4,2,7,6,1,8,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[1,8,4,6,5,2,7,3]=>[6,8,4,1,5,7,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[1,7,5,4,6,8,3,2]=>[5,7,4,6,1,8,3,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[7,2,6,4,8,5,3,1]=>[7,6,8,2,4,5,3,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[6,8,2,3,7,4,5,1]=>[2,6,3,8,4,7,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[5,7,1,4,3,6,8,2]=>[5,4,1,7,3,6,8,2]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[3,8,2,6,7,4,1,5]=>[3,6,2,4,8,7,1,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[1,6,8,3,4,7,2,5]=>[1,6,3,4,2,8,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[1,6,8,3,4,2,7,5]=>[6,8,1,3,4,7,2,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[1,5,8,4,2,3,7,6]=>[8,1,5,2,7,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[4,1,7,6,2,8,3,5]=>[4,7,1,6,8,2,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[4,1,8,2,7,5,3,6]=>[4,8,1,7,5,2,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[4,1,7,2,8,5,3,6]=>[4,7,5,8,1,2,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[2,5,6,3,7,4,8,1]=>[5,6,2,7,3,4,8,1]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[2,6,5,3,8,4,7,1]=>[6,5,2,8,3,4,7,1]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[5,7,3,2,8,4,1,6]=>[5,3,7,8,2,4,1,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[2,8,6,1,7,5,3,4]=>[2,8,6,1,7,5,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[2,4,5,8,7,1,3,6]=>[2,1,8,4,5,3,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[3,1,6,8,7,5,4,2]=>[8,6,7,3,5,1,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[3,1,8,7,5,6,4,2]=>[8,3,7,5,6,1,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[5,1,8,7,6,3,4,2]=>[8,1,7,5,6,3,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[8,7,2,3,1,5,6,4]=>[8,2,3,1,7,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[1,8,7,2,6,4,5,3]=>[8,1,7,2,6,4,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[1,8,4,7,6,2,5,3]=>[8,1,7,4,6,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[5,4,3,1,8,2,6,7]=>[5,4,3,1,2,8,6,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[1,3,5,8,4,2,6,7]=>[5,3,1,4,2,8,6,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[3,7,8,2,1,5,6,4]=>[7,3,2,1,8,5,6,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[3,7,1,4,6,2,5,8]=>[3,4,1,2,7,6,5,8]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[8,2,5,7,1,6,4,3]=>[5,8,2,7,1,6,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[4,5,6,7,8,9,1,10,2,3]=>[1,4,5,6,7,8,9,10,2,3]=>[[1,2,3,6,7,8,9,10],[4,5]]=>[4,6]
[4,3,8,6,1,7,5,2]=>[8,4,6,3,7,5,1,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[2,4,6,7,3,5,1,8]=>[4,2,3,6,7,5,1,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[6,5,2,3,4,8,7,1]=>[8,2,3,6,5,4,7,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[2,8,4,5,3,1,7,6]=>[8,2,7,4,5,3,1,6]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[7,6,4,1,5,8,3,2]=>[4,7,6,5,8,1,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[8,7,3,5,1,6,4,2]=>[5,3,8,7,6,4,1,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[4,8,3,2,6,1,7,5]=>[8,4,3,2,6,7,1,5]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[5,6,8,4,3,7,2,1]=>[5,6,4,8,3,7,2,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[7,5,8,4,2,1,6,3]=>[5,7,4,8,6,2,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[1,4,8,7,6,2,5,3]=>[4,8,7,6,1,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[7,2,4,1,5,3,8,6]=>[7,4,2,8,5,1,3,6]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[8,5,3,4,1,7,2,6]=>[3,5,4,8,1,7,2,6]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[2,8,5,4,3,6,1,7]=>[5,4,8,2,3,6,1,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[7,4,6,5,3,2,8,1]=>[7,4,6,5,3,2,8,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[6,2,5,7,1,4,3,8]=>[6,2,1,5,7,4,3,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[4,8,5,3,1,2,6,7]=>[1,4,5,8,3,2,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[1,5,3,4,7,2,6,8]=>[5,1,3,4,2,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,4,6,1,5,7,3,2]=>[4,6,8,1,5,7,3,2]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[6,4,7,2,1,3,8,5]=>[6,2,7,4,8,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[3,7,6,8,1,5,4,2]=>[7,3,6,8,1,5,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[3,7,6,8,5,1,4,2]=>[3,7,6,8,1,5,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[4,5,6,3,7,8,9,2,1]=>[4,5,6,3,7,8,9,2,1]=>[[1,5,6,7,8,9],[2],[3],[4]]=>[4,5]
[3,4,5,6,2,7,8,9,10,1]=>[3,4,5,6,2,7,8,9,10,1]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>[3,7]
[8,1,6,5,4,3,7,2]=>[6,8,5,4,1,3,7,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[4,1,7,2,5,3,6,8]=>[4,1,7,5,2,3,6,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[5,3,4,1,8,6,2,7]=>[3,8,5,4,6,1,2,7]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[1,7,3,6,2,4,8,5]=>[7,1,6,3,2,8,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[4,6,7,5,1,2,3,8]=>[1,2,6,4,7,5,3,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[4,3,8,5,2,1,7,6]=>[8,4,7,3,5,2,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[5,3,4,7,6,2,1,8]=>[7,3,5,4,6,2,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[6,3,4,8,2,1,7,5]=>[6,3,8,4,2,7,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[4,1,8,5,7,2,6,3]=>[4,5,8,7,1,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[4,1,8,2,7,5,6,3]=>[4,8,7,1,2,5,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[7,6,8,2,4,3,5,1]=>[2,7,4,6,8,3,5,1]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[7,4,5,3,8,1,6,2]=>[4,5,7,3,8,1,6,2]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[1,3,8,6,5,7,2,4]=>[3,6,8,1,2,5,7,4]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[5,1,7,2,4,8,6,3]=>[7,5,1,8,4,2,6,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[5,1,3,7,8,4,6,2]=>[5,3,1,7,4,8,6,2]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[6,5,8,4,1,3,2,7]=>[6,1,5,4,8,3,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[8,7,2,6,4,5,1,3]=>[2,1,8,4,7,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[5,4,8,2,3,1,6,7]=>[2,5,4,3,1,8,6,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[1,2,3,4,8,5,6,9,7]=>[8,1,9,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[1,4,8,5,3,2,7,6]=>[8,4,7,5,1,3,2,6]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[1,2,4,8,5,7,3,6]=>[1,8,4,2,5,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[5,6,3,1,8,2,4,7]=>[3,5,6,1,2,8,4,7]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[7,3,6,5,1,8,4,2]=>[7,6,3,5,8,4,1,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[5,7,2,1,4,8,6,3]=>[7,5,2,8,4,1,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[7,6,3,5,2,1,8,4]=>[7,3,6,5,8,2,1,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[3,5,7,4,1,8,6,2]=>[7,5,3,8,4,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[6,5,7,2,1,3,8,4]=>[6,2,5,7,8,1,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[4,3,2,6,8,7,1,5]=>[4,8,3,2,1,6,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,3,2,7,8,5,6,1]=>[4,7,3,2,5,8,6,1]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[7,1,3,5,6,8,2,4]=>[3,1,2,5,7,6,8,4]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[3,1,2,8,4,6,5,7]=>[1,8,6,3,2,4,5,7]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[2,5,4,3,8,6,1,7]=>[5,8,4,2,3,6,1,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[5,4,8,3,1,2,7,6]=>[8,1,5,4,3,7,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[7,6,2,8,1,3,5,4]=>[7,2,1,6,8,3,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[7,3,2,5,1,6,8,4]=>[7,3,2,5,6,1,8,4]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[3,5,1,7,6,4,8,2]=>[7,5,3,6,4,1,8,2]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[8,7,4,2,1,6,5,3]=>[8,4,7,6,5,2,1,3]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[3,5,2,8,7,1,6,4]=>[8,3,5,7,2,1,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[3,7,6,5,4,1,8,2]=>[7,6,5,3,4,8,1,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[4,5,2,6,7,3,8,1]=>[4,5,6,2,7,3,8,1]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[4,7,1,8,5,3,2,6]=>[4,7,5,8,3,1,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[8,6,7,1,4,3,5,2]=>[6,1,4,8,7,3,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[8,6,7,2,1,3,5,4]=>[6,2,1,8,7,5,3,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[8,6,4,5,7,1,3,2]=>[4,1,6,8,5,7,3,2]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[6,7,5,1,8,3,2,4]=>[3,6,7,5,8,1,2,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[8,7,3,2,6,5,4,1]=>[8,7,3,6,5,2,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[8,7,2,3,1,4,6,5]=>[8,2,3,1,7,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,3,4,1,2,7,6,5]=>[8,7,1,3,4,6,2,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,5,6,1,7,4,2,3]=>[1,5,6,8,7,4,2,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[4,1,6,8,2,7,5,3]=>[6,4,8,7,1,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[5,4,1,3,8,7,6,2]=>[8,7,5,1,4,3,6,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[6,4,1,2,5,7,8,3]=>[4,1,6,5,2,7,8,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[6,1,5,4,2,7,3,8]=>[6,5,4,1,7,2,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[6,4,2,3,1,7,5,8]=>[6,2,7,4,3,1,5,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[3,4,6,1,8,2,7,5]=>[6,3,4,8,1,7,2,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[7,5,3,6,2,1,4,8]=>[3,5,7,2,6,1,4,8]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[6,4,3,7,1,8,2,5]=>[4,6,3,1,7,8,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[3,1,2,7,6,4,5,8]=>[1,7,6,3,2,4,5,8]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[5,1,2,7,6,3,4,8]=>[1,7,5,2,6,3,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[2,6,5,3,4,1,7,8]=>[2,6,5,3,4,1,7,8]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[4,6,1,5,2,8,7,3]=>[8,4,6,5,1,7,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[6,1,5,4,2,7,8,3]=>[6,5,4,1,7,2,8,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[2,8,6,5,1,3,7,4]=>[6,2,8,5,1,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[5,1,8,6,2,7,4,3]=>[5,8,6,7,4,1,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[5,6,4,1,7,2,8,3]=>[5,6,4,7,8,1,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[3,8,6,1,5,7,4,2]=>[8,3,6,1,5,7,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[8,6,7,1,3,5,4,2]=>[6,3,1,8,7,5,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[3,5,8,2,1,6,4,7]=>[5,3,2,8,6,1,4,7]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[8,1,6,3,4,2,5,7]=>[1,3,8,4,6,2,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[3,4,1,5,8,7,6,2]=>[8,7,3,4,5,1,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[3,4,1,5,7,8,6,2]=>[7,3,4,5,1,8,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[3,4,1,5,8,6,7,2]=>[3,8,4,5,1,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[5,1,6,2,4,7,3,8]=>[5,1,6,4,2,7,3,8]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[7,3,1,6,2,4,5,8]=>[3,1,2,7,6,4,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[4,3,6,2,5,8,1,7]=>[4,3,2,6,5,1,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[9,8,10,7,6,5,4,3,1,2]=>[1,9,8,10,7,6,5,4,3,2]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[1,6,7,2,8,5,3,4]=>[1,6,7,8,2,5,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[1,5,6,7,3,2,4,8]=>[1,5,6,3,7,2,4,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[6,3,5,4,1,7,2,8]=>[6,3,5,4,7,1,2,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[5,4,7,6,1,3,2,8]=>[7,1,5,4,6,3,2,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[7,4,6,5,8,3,1,2]=>[1,7,4,6,5,8,3,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[4,3,1,6,8,5,2,7]=>[6,4,3,1,8,5,2,7]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[4,3,1,5,7,6,2,8]=>[7,4,3,5,1,6,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[5,2,4,3,8,7,1,6]=>[5,8,2,4,3,1,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[8,2,1,4,3,7,5,6]=>[2,8,4,7,1,3,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[6,7,2,5,4,1,8,3]=>[6,7,2,5,4,8,1,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[8,6,2,5,1,3,7,4]=>[6,2,1,8,5,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[5,7,2,6,4,1,8,3]=>[5,7,6,2,4,8,1,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[8,1,7,6,2,3,5,4]=>[8,1,2,7,6,3,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[6,3,5,7,4,2,8,1]=>[6,3,5,7,4,2,8,1]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[7,6,4,8,5,3,1,2]=>[1,7,6,8,4,5,3,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[8,2,1,6,4,7,3,5]=>[2,8,4,6,1,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[1,3,8,6,5,2,7,4]=>[6,8,5,3,1,7,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[2,7,3,8,5,6,4,1]=>[7,2,8,5,3,6,4,1]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[1,6,8,5,4,7,2,3]=>[1,6,8,2,5,4,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[2,1,3,8,6,4,7,5]=>[6,8,7,2,1,3,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[8,2,5,4,3,7,1,6]=>[5,2,8,4,3,1,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[1,5,8,6,4,3,7,2]=>[5,8,6,4,1,3,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[6,8,7,5,1,3,4,2]=>[3,1,8,6,7,5,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[7,5,6,3,2,1,8,4]=>[5,7,6,8,3,2,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[7,5,6,2,3,1,8,4]=>[5,2,7,6,8,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[3,8,2,5,7,6,1,4]=>[3,8,2,1,5,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[7,5,2,1,6,3,8,4]=>[5,7,6,8,2,1,3,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[6,2,8,5,3,7,4,1]=>[6,5,8,7,2,3,4,1]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[7,1,5,4,2,6,8,3]=>[5,7,4,1,6,2,8,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[6,2,8,4,3,5,7,1]=>[4,6,2,8,3,5,7,1]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[6,2,8,5,3,7,1,4]=>[2,6,5,8,3,1,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[4,3,2,8,7,5,1,6]=>[4,8,7,3,2,5,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[6,4,2,1,5,7,8,3]=>[4,6,5,2,1,7,8,3]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[3,4,6,5,2,8,1,7]=>[6,3,4,5,2,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[4,6,7,5,8,2,1,3]=>[2,6,4,7,5,8,1,3]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[5,6,3,1,4,7,2,8]=>[3,5,6,4,1,7,2,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[8,2,6,5,1,4,7,3]=>[8,2,1,6,5,4,7,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[5,6,3,1,8,4,2,7]=>[5,6,3,8,4,1,2,7]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[7,1,6,4,3,8,2,5]=>[4,7,6,1,3,2,8,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[6,7,2,1,4,8,3,5]=>[2,6,4,7,1,3,8,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[8,6,7,3,2,5,4,1]=>[6,3,8,7,5,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[5,1,4,6,2,7,8,3]=>[5,4,1,6,7,2,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[1,2,5,3,7,8,6,4]=>[7,5,8,1,2,3,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[6,1,3,7,2,8,4,5]=>[1,6,7,3,2,8,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[3,8,5,4,1,7,2,6]=>[5,3,8,4,1,7,2,6]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[7,2,1,6,4,8,3,5]=>[2,7,6,4,1,3,8,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[4,2,7,5,6,8,1,3]=>[2,4,7,1,5,6,8,3]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[1,4,7,6,5,2,3,8]=>[1,7,6,4,2,5,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[2,7,8,3,5,1,4,6]=>[2,3,1,7,5,8,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[7,4,5,1,3,6,8,2]=>[4,1,5,7,3,6,8,2]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[8,2,7,4,5,1,3,6]=>[2,1,4,8,5,7,3,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[7,2,8,3,5,6,4,1]=>[7,2,3,8,5,6,4,1]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[7,1,3,8,6,5,2,4]=>[1,7,8,6,3,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[5,1,8,7,3,6,2,4]=>[1,5,8,7,3,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[4,6,8,2,3,1,7,5]=>[6,2,4,8,3,7,1,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[4,7,2,3,5,1,8,6]=>[7,2,4,3,8,5,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[5,6,4,2,8,7,1,3]=>[2,8,5,6,4,1,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[5,7,4,2,6,1,8,3]=>[5,4,7,6,2,8,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[5,4,7,1,6,2,8,3]=>[5,4,7,6,1,8,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[5,7,1,8,2,4,3,6]=>[5,1,4,7,8,2,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[8,1,4,6,5,2,3,7]=>[1,4,8,2,6,5,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,2,3,1,6,4,7,5]=>[8,2,6,3,7,1,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[1,3,8,2,5,6,4,7]=>[5,3,1,2,6,8,4,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[1,3,2,7,4,6,8,5]=>[7,3,6,1,2,4,8,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[1,3,8,4,6,2,7,5]=>[8,1,6,3,4,7,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[6,4,3,5,1,7,2,8]=>[4,6,3,5,7,1,2,8]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[2,3,5,8,4,1,6,7]=>[5,2,3,4,1,8,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[4,2,5,8,6,7,3,1]=>[4,8,5,2,6,7,3,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[6,1,3,8,5,4,2,7]=>[6,5,8,1,3,4,2,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[4,2,7,6,5,3,8,1]=>[7,6,4,5,2,3,8,1]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[2,3,7,6,4,8,5,1]=>[7,6,8,2,3,4,5,1]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[2,5,7,6,3,8,4,1]=>[7,5,6,2,8,3,4,1]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[8,4,3,6,5,7,1,2]=>[1,4,8,6,3,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[8,2,4,6,5,7,1,3]=>[2,1,8,4,6,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[6,8,5,2,1,4,3,7]=>[6,2,5,8,4,1,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[8,4,6,5,2,7,1,3]=>[2,4,8,6,5,1,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[8,7,1,2,3,5,4,6]=>[1,8,2,3,5,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[1,8,7,5,4,2,3,6]=>[1,5,8,7,4,2,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[4,1,7,2,3,8,6,5]=>[7,8,1,4,6,2,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[1,6,5,2,7,8,3,4]=>[1,6,5,7,2,3,8,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[1,6,2,5,7,8,4,3]=>[6,5,1,7,2,8,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[7,4,5,1,6,8,2,3]=>[1,4,5,7,6,2,8,3]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[1,6,4,5,2,7,8,3]=>[6,4,1,5,7,2,8,3]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[6,3,2,5,7,4,1,8]=>[6,3,5,2,7,4,1,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[6,4,7,5,3,1,2,8]=>[1,6,7,4,5,3,2,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[6,2,3,1,8,4,5,7]=>[2,6,3,1,8,4,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[5,2,1,7,4,6,3,8]=>[5,7,2,4,1,6,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[6,2,1,5,3,7,8,4]=>[6,5,2,7,1,3,8,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[3,8,1,6,2,7,4,5]=>[3,8,1,2,6,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[6,5,8,2,7,4,3,1]=>[6,5,8,7,2,4,3,1]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[1,8,6,2,3,4,7,5]=>[6,1,2,8,7,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,5,2,7,3,6,8,4]=>[5,7,1,6,2,3,8,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[1,5,8,3,2,6,4,7]=>[5,1,8,6,3,2,4,7]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[6,2,5,1,3,8,7,4]=>[8,6,2,1,5,7,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[6,2,8,5,1,3,7,4]=>[6,2,8,1,5,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[6,4,2,1,7,3,5,8]=>[4,6,2,7,1,3,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[5,8,4,2,1,3,6,7]=>[2,5,4,1,8,3,6,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[6,7,1,4,8,2,3,5]=>[1,2,6,4,7,3,8,5]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[6,8,1,2,3,5,4,7]=>[6,1,2,3,5,8,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[6,4,2,5,7,8,3,1]=>[4,6,5,2,7,8,3,1]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[7,2,1,6,3,4,5,8]=>[2,1,7,3,6,4,5,8]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[5,4,1,2,3,6,8,7]=>[8,1,2,5,4,3,6,7]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[2,7,8,5,1,6,3,4]=>[2,7,1,5,8,6,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[2,3,7,5,8,6,4,1]=>[7,8,5,2,3,6,4,1]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[6,1,3,5,7,8,2,4]=>[3,1,2,6,5,7,8,4]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[5,8,1,6,4,7,2,3]=>[1,5,8,2,6,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[2,4,7,5,1,8,6,3]=>[7,8,4,2,5,6,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[6,5,1,2,7,4,8,3]=>[6,5,1,7,4,2,8,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[3,6,5,7,8,2,4,1]=>[3,6,2,5,7,8,4,1]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[7,8,1,2,5,4,3,6]=>[1,7,8,2,5,4,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[8,7,1,2,6,4,3,5]=>[1,8,7,2,4,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,1,7,2,6,5,3,4]=>[1,8,7,2,6,3,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[3,1,2,7,6,5,4,8]=>[7,6,5,1,3,2,4,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[2,7,8,1,6,4,3,5]=>[2,7,8,1,4,6,3,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[4,2,7,1,6,5,3,8]=>[7,4,6,2,1,5,3,8]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[3,4,7,6,1,5,2,8]=>[3,7,4,6,1,5,2,8]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[5,7,1,6,8,4,2,3]=>[1,5,7,6,2,8,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[4,1,7,6,8,5,2,3]=>[1,7,6,4,8,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[3,4,7,6,5,8,1,2]=>[1,7,6,3,4,5,8,2]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[1,8,5,2,6,4,7,3]=>[5,6,8,4,1,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[3,8,5,4,6,2,7,1]=>[5,3,8,4,6,2,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[3,1,5,7,4,8,6,2]=>[7,5,3,8,1,4,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[5,8,3,1,6,7,4,2]=>[5,8,3,6,1,7,4,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[4,5,8,1,7,3,6,2]=>[4,5,8,1,3,7,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[4,7,1,6,8,5,2,3]=>[1,7,4,6,2,8,5,3]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[5,8,7,1,6,4,2,3]=>[1,5,8,7,6,2,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[1,7,3,8,2,5,4,6]=>[3,7,1,8,2,5,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[5,1,8,4,3,6,7,2]=>[5,4,8,1,3,6,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[8,2,1,3,5,7,6,4]=>[8,7,2,1,3,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[2,6,1,3,7,5,8,4]=>[6,7,2,1,5,3,8,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[8,2,5,7,6,1,4,3]=>[8,2,5,1,7,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[5,7,3,2,1,4,8,6]=>[7,3,5,8,2,1,4,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[7,6,2,8,5,3,1,4]=>[2,7,6,8,5,3,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[7,1,2,3,8,4,6,5]=>[7,1,8,2,3,6,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[3,5,8,1,6,2,7,4]=>[5,3,8,1,6,7,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[4,1,3,5,2,7,6,8]=>[7,4,1,3,5,2,6,8]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[4,1,5,7,2,8,6,3]=>[7,4,5,8,1,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[3,7,4,8,6,5,2,1]=>[7,8,6,3,4,5,2,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[8,3,2,7,5,1,6,4]=>[8,3,7,2,5,6,1,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[4,8,5,7,3,2,6,1]=>[4,5,8,3,7,2,6,1]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[8,7,4,3,1,2,6,5]=>[8,1,4,7,6,3,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[6,8,4,3,1,2,7,5]=>[6,1,8,4,7,3,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[8,3,2,6,5,1,7,4]=>[8,3,6,5,2,7,1,4]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[7,3,2,6,5,1,4,8]=>[3,7,2,6,1,5,4,8]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[2,6,5,8,7,1,4,3]=>[8,2,6,5,1,7,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[2,8,3,7,5,4,1,6]=>[2,8,7,5,3,4,1,6]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[5,4,2,8,1,6,7,3]=>[5,4,6,2,1,8,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[5,3,1,8,7,4,6,2]=>[5,8,3,7,4,1,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[5,2,8,6,3,1,4,7]=>[2,5,8,6,3,1,4,7]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[1,6,4,8,2,3,5,7]=>[1,4,6,2,3,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[1,6,8,3,7,5,4,2]=>[6,8,7,3,1,5,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[7,3,6,5,1,8,2,4]=>[3,7,1,6,5,8,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[1,6,8,2,7,3,5,4]=>[6,1,8,7,2,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[5,8,1,3,7,4,6,2]=>[5,3,1,8,4,7,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[5,4,8,1,7,2,3,6]=>[1,5,4,2,8,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[6,3,7,8,1,2,5,4]=>[6,1,3,7,2,8,5,4]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[5,1,8,6,7,2,3,4]=>[1,2,5,8,6,3,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[5,7,1,6,8,2,3,4]=>[1,2,5,7,3,6,8,4]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[5,4,2,1,7,6,8,3]=>[7,5,4,6,2,1,8,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[6,4,1,3,7,8,5,2]=>[6,7,1,4,3,8,5,2]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[1,8,3,2,7,4,5,6]=>[3,1,8,2,7,4,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[1,8,6,7,4,3,5,2]=>[8,1,6,4,7,3,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[5,6,4,8,7,1,2,3]=>[1,2,8,5,6,4,7,3]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[1,8,5,2,7,6,3,4]=>[1,8,5,7,6,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[8,2,4,6,3,1,5,7]=>[4,2,3,6,8,1,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[6,3,7,5,1,2,4,8]=>[1,3,6,7,2,5,4,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[6,1,2,4,8,3,7,5]=>[6,8,1,2,4,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[7,1,4,5,6,3,8,2]=>[4,5,1,7,6,3,8,2]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[7,1,4,5,6,2,3,8]=>[1,4,2,5,7,6,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[4,1,6,5,2,3,8,7]=>[8,1,6,4,5,2,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[6,8,7,5,3,4,2,1]=>[3,8,6,7,5,4,2,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[3,3,2]
[5,8,6,2,4,7,3,1]=>[5,2,8,6,4,7,3,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[1,7,5,4,3,2,8,6]=>[7,8,5,4,3,1,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[1,7,4,6,8,5,3,2]=>[7,6,4,1,8,5,3,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[4,8,6,5,7,2,3,1]=>[2,6,8,4,5,7,3,1]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[3,6,4,8,1,2,5,7]=>[1,3,6,4,2,5,8,7]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[5,3,7,6,2,8,4,1]=>[7,5,6,3,8,2,4,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[2,4,1,7,6,8,3,5]=>[4,7,2,1,6,3,8,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[2,4,3,7,6,8,1,5]=>[4,7,2,3,1,6,8,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[5,7,1,6,4,3,8,2]=>[5,7,6,4,1,3,8,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[8,4,6,1,3,7,5,2]=>[6,4,1,8,7,3,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[1,5,4,7,8,2,6,3]=>[5,4,7,1,2,8,6,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[4,3,1,6,2,5,8,7]=>[8,4,3,1,6,2,5,7]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[7,5,2,1,8,4,3,6]=>[5,7,4,8,2,1,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[7,1,2,4,8,3,5,6]=>[1,2,7,4,3,5,8,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[7,1,5,8,2,3,4,6]=>[1,2,3,7,5,4,8,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[5,2,4,1,6,8,3,7]=>[5,2,4,6,1,3,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[7,1,5,2,3,4,6,8]=>[1,2,3,7,5,4,6,8]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[4,7,1,2,5,6,3,8]=>[4,1,5,2,7,6,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[6,7,3,1,8,2,4,5]=>[3,1,6,7,2,8,4,5]=>[[1,2,4,5],[3,6,7,8]]=>[3,3,2]
[7,3,1,4,6,2,8,5]=>[7,3,6,1,4,8,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[5,7,4,8,1,6,3,2]=>[5,4,7,8,6,1,3,2]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[5,7,3,4,6,2,1,8]=>[3,5,4,7,6,2,1,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[7,3,5,6,2,4,1,8]=>[3,2,5,7,6,4,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[3,7,2,5,6,1,4,8]=>[3,2,1,5,7,6,4,8]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[3,7,2,5,1,6,4,8]=>[5,3,2,7,6,1,4,8]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[4,5,8,2,7,6,3,1]=>[8,4,5,7,2,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[6,3,5,1,4,7,2,8]=>[3,6,1,5,4,7,2,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[2,3,7,8,1,6,4,5]=>[2,7,3,1,4,8,6,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[2,7,3,8,5,4,1,6]=>[5,7,8,2,3,4,1,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[4,3,1,2,5,7,6,8]=>[7,1,4,3,2,5,6,8]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[1,2,4,7,8,5,6,3]=>[7,1,4,2,5,8,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[5,1,2,6,4,3,7,8]=>[5,6,1,4,2,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[5,1,2,7,4,3,6,8]=>[5,1,7,4,2,3,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[5,6,3,1,2,8,4,7]=>[5,1,6,3,8,2,4,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[5,3,8,4,6,1,2,7]=>[1,5,3,4,8,6,2,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[5,8,3,1,6,2,4,7]=>[3,5,1,6,8,2,4,7]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[5,3,6,8,4,1,2,7]=>[1,5,6,3,4,8,2,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[5,3,1,2,6,4,8,7]=>[8,5,1,6,3,2,4,7]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[5,3,1,4,6,8,2,7]=>[3,5,4,1,6,2,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[4,3,6,5,1,2,8,7]=>[8,1,6,4,3,5,2,7]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[5,4,1,6,8,7,2,3]=>[1,8,5,4,6,2,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[3,5,4,7,8,1,6,2]=>[5,3,4,7,1,8,6,2]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[4,5,3,6,8,7,1,2]=>[1,8,4,5,3,6,7,2]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[4,1,6,7,2,8,5,3]=>[6,4,7,8,1,5,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[2,1,6,5,8,7,3,4]=>[2,8,6,5,1,3,7,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[3,7,8,1,6,2,5,4]=>[7,3,1,8,2,6,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[3,6,5,2,7,4,8,1]=>[6,5,3,7,2,4,8,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[6,1,5,3,7,4,8,2]=>[6,5,7,1,3,4,8,2]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[5,3,2,8,7,1,6,4]=>[5,8,7,3,2,1,6,4]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[8,6,7,4,1,3,5,2]=>[4,1,6,8,7,3,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[4,1,3,6,5,2,8,7]=>[8,6,4,1,3,5,2,7]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[4,6,3,2,5,1,8,7]=>[8,4,3,6,2,5,1,7]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[4,8,3,2,6,5,7,1]=>[4,8,3,6,2,5,7,1]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,8,3,6,5,2,7,1]=>[4,8,3,6,5,2,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[2,4,3,8,6,1,7,5]=>[8,4,6,2,3,7,1,5]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[2,6,3,8,5,4,7,1]=>[6,5,8,2,3,4,7,1]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[6,8,4,2,5,3,7,1]=>[4,6,5,8,2,3,7,1]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[6,8,4,3,5,2,7,1]=>[4,6,3,8,5,2,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[8,1,4,6,5,3,7,2]=>[4,8,6,1,5,3,7,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[3,5,4,6,1,2,8,7]=>[8,1,5,3,4,6,2,7]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[7,3,5,6,1,8,2,4]=>[3,1,5,7,6,8,2,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[5,7,6,3,4,2,8,1]=>[3,7,5,6,4,2,8,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[4,6,7,2,3,5,8,1]=>[2,4,3,6,7,5,8,1]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[3,8,4,1,7,5,6,2]=>[3,8,4,7,5,1,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[4,8,7,1,2,6,3,5]=>[4,1,2,8,7,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[4,6,1,5,2,3,7,8]=>[1,4,6,2,5,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[5,7,4,3,6,2,1,8]=>[5,4,7,3,6,2,1,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[4,7,1,2,6,8,5,3]=>[7,4,1,6,2,8,5,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[6,2,5,4,7,8,1,3]=>[2,6,1,5,4,7,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[7,4,2,6,1,3,8,5]=>[7,2,4,6,1,8,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[6,1,7,4,2,3,8,5]=>[6,1,7,8,4,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[8,5,6,1,3,2,7,4]=>[5,6,1,8,7,3,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[5,1,7,6,2,4,3,8]=>[7,1,5,6,4,2,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[5,3,7,8,2,6,1,4]=>[3,5,2,1,7,8,6,4]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[2,7,1,6,4,3,5,8]=>[2,7,6,1,4,3,5,8]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[2,8,5,3,7,4,1,6]=>[5,2,8,7,3,4,1,6]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[5,4,3,8,7,2,1,6]=>[5,8,4,3,2,7,1,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[3,8,4,5,7,2,1,6]=>[3,4,5,8,2,7,1,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[4,5,8,7,2,3,1,6]=>[2,4,8,5,3,7,1,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[5,6,1,3,7,8,2,4]=>[1,5,3,6,2,7,8,4]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[5,7,1,3,6,2,4,8]=>[1,5,3,2,7,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[4,7,5,2,3,6,8,1]=>[2,4,7,5,3,6,8,1]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[3,6,4,1,2,5,7,8]=>[1,3,6,4,2,5,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>[3,3,2]
[6,8,2,5,7,3,1,4]=>[2,6,3,5,8,7,1,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[4,8,5,2,3,6,1,7]=>[2,4,5,8,3,6,1,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[4,6,5,1,7,8,2,3]=>[1,6,4,5,7,2,8,3]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[4,7,1,3,2,8,5,6]=>[4,7,1,3,8,2,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[5,8,7,3,4,2,6,1]=>[3,5,8,4,7,2,6,1]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[5,7,1,8,6,2,4,3]=>[7,1,5,8,6,4,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[5,7,8,4,2,1,6,3]=>[5,4,7,8,6,2,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[1,4,6,8,7,5,2,3]=>[1,8,6,4,2,7,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[8,5,2,3,6,4,7,1]=>[5,2,6,8,3,4,7,1]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[4,7,2,6,8,5,3,1]=>[7,4,6,2,8,5,3,1]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[4,5,8,3,2,6,7,1]=>[4,5,3,2,8,6,7,1]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[7,2,5,8,4,3,6,1]=>[5,7,2,4,8,3,6,1]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[5,2,6,8,7,4,3,1]=>[8,5,6,7,2,4,3,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[6,3,1,5,4,8,2,7]=>[6,3,5,4,1,2,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[5,8,2,3,4,7,6,1]=>[8,2,3,5,4,7,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[8,3,1,4,7,5,2,6]=>[3,8,1,7,4,5,2,6]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[5,3,1,6,4,8,7,2]=>[8,5,6,3,4,1,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[8,3,4,1,7,6,5,2]=>[8,7,3,4,6,5,1,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[8,5,1,2,7,6,4,3]=>[8,5,7,1,6,4,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[6,5,8,3,1,4,7,2]=>[3,6,5,8,1,4,7,2]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[5,6,7,1,2,4,8,3]=>[5,1,2,6,7,4,8,3]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[8,2,6,3,1,5,4,7]=>[2,8,6,3,5,1,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[5,7,3,6,8,2,4,1]=>[3,5,2,7,6,8,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[2,3,8,4,5,1,7,6]=>[8,2,3,7,4,5,1,6]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[7,8,3,5,4,6,2,1]=>[3,7,5,8,4,6,2,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[3,7,8,5,6,2,4,1]=>[3,2,7,5,8,6,4,1]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[7,4,3,6,2,5,8,1]=>[4,3,7,2,6,5,8,1]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[8,4,2,7,1,3,6,5]=>[8,2,4,1,7,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[4,7,2,3,6,5,8,1]=>[7,2,4,3,6,5,8,1]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[5,3,6,1,8,4,7,2]=>[5,6,3,8,1,4,7,2]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[4,2,1,8,5,7,6,3]=>[8,4,7,5,2,1,6,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[5,2,1,7,8,4,6,3]=>[5,7,2,4,1,8,6,3]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[4,8,2,6,7,3,1,5]=>[4,2,6,3,8,7,1,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[1,4,8,7,5,6,3,2]=>[8,7,1,4,5,6,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[6,2,7,5,3,4,8,1]=>[2,6,7,5,3,4,8,1]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[6,5,4,1,7,2,3,8]=>[1,6,5,4,7,2,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[7,1,2,6,4,8,3,5]=>[1,7,6,2,4,3,8,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[3,5,1,8,6,2,4,7]=>[3,1,8,5,6,2,4,7]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[6,7,5,8,4,3,2,1,9]=>[6,7,5,8,4,3,2,1,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>[6,3]
[5,4,7,3,8,6,2,1]=>[7,5,4,8,3,6,2,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[7,2,4,5,1,6,8,3]=>[4,2,5,7,6,1,8,3]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[4,2,5,8,7,6,1,3]=>[2,8,7,4,1,5,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[1,8,7,5,4,6,2,3]=>[1,5,8,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[3,8,1,4,7,5,6,2]=>[3,8,4,1,5,7,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[6,4,1,5,3,8,7,2]=>[8,4,6,5,3,1,7,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[8,1,6,7,4,5,3,2]=>[6,4,1,8,7,5,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[8,1,6,4,7,5,3,2]=>[8,6,7,1,4,5,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[6,4,8,1,5,3,7,2]=>[4,6,8,1,5,3,7,2]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[2,6,3,8,1,5,7,4]=>[6,2,5,3,1,8,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[4,1,3,8,6,7,5,2]=>[8,6,1,4,3,7,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[4,8,5,2,3,7,1,6]=>[2,4,5,8,3,1,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[4,8,6,1,3,7,5,2]=>[8,4,1,6,7,3,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[8,2,4,5,7,1,3,6]=>[2,1,4,5,3,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[5,1,8,6,3,7,2,4]=>[3,5,8,6,1,2,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[8,1,3,7,4,6,2,5]=>[1,8,3,4,2,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,1,5,7,4,3,6,2]=>[5,8,1,4,7,3,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[1,6,4,3,5,8,2,7]=>[4,6,3,1,5,2,8,7]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[5,1,4,3,7,8,6,2]=>[7,5,4,1,3,8,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[5,7,6,2,1,8,4,3]=>[7,5,6,8,4,2,1,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[5,8,1,6,3,2,7,4]=>[5,6,8,7,1,3,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[7,4,6,8,2,5,1,3]=>[2,4,1,7,6,8,5,3]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[2,7,6,3,5,1,8,4]=>[7,2,6,5,3,8,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[8,4,3,1,6,7,2,5]=>[4,3,1,8,6,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[5,7,6,3,4,2,1,8]=>[3,7,5,6,4,2,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[2,5,7,6,3,4,1,8]=>[2,7,5,3,6,4,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[4,6,5,1,7,8,3,2]=>[6,4,5,7,8,1,3,2]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[8,4,7,6,1,3,2,5]=>[1,8,4,3,7,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[3,4,1,7,2,6,5,8]=>[7,3,4,1,6,2,5,8]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[2,7,4,3,6,1,5,8]=>[4,2,7,3,1,6,5,8]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[4,1,6,5,3,2,8,7]=>[8,6,4,5,3,1,2,7]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[5,1,7,8,2,6,3,4]=>[1,5,7,2,8,3,6,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[7,4,3,6,1,8,2,5]=>[4,3,7,1,6,8,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[6,8,5,3,2,4,7,1]=>[3,6,5,8,2,4,7,1]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[2,5,7,4,6,1,8,3]=>[5,4,2,7,6,8,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[5,8,3,4,6,2,7,1]=>[3,5,4,6,8,2,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[8,6,3,4,1,5,7,2]=>[3,4,6,8,5,1,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[5,8,3,6,7,2,4,1]=>[3,5,2,6,8,7,4,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[4,1,6,3,2,8,7,5]=>[8,6,4,7,3,1,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[2,4,1,8,7,5,6,3]=>[8,2,7,4,5,1,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[5,7,3,6,4,2,1,8]=>[5,7,3,6,4,2,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[3,7,5,6,4,1,8,2]=>[7,3,5,6,4,8,1,2]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[2,9,1,10,3,4,5,6,7,8]=>[2,1,3,4,5,9,6,10,7,8]=>[[1,3,4,5,6,7,8],[2,9,10]]=>[2,7,1]
[6,2,5,3,8,1,7,4]=>[6,5,2,8,3,1,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[5,3,2,6,7,8,1,4]=>[3,5,2,1,6,7,8,4]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[5,2,3,6,4,7,1,8]=>[5,2,6,3,4,7,1,8]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[6,8,4,5,3,2,1,7]=>[4,6,5,8,3,2,1,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[3,4,5,2,1,6,7,8,9,10]=>[3,4,5,2,1,6,7,8,9,10]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>[3,7]
[5,3,6,8,2,4,1,7]=>[3,5,2,6,4,8,1,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[7,1,2,5,3,8,4,6]=>[5,7,1,2,3,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[7,5,8,2,3,4,6,1]=>[2,3,5,7,4,8,6,1]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[2,6,7,5,3,8,1,4]=>[2,6,7,3,5,1,8,4]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[4,5,2,6,8,7,1,3]=>[2,8,4,5,1,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[4,5,2,6,8,3,1,7]=>[4,5,6,2,3,8,1,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[4,6,5,7,2,1,3,8]=>[2,6,4,5,7,1,3,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[3,1,2,5,8,6,7,4]=>[8,1,5,3,2,6,7,4]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[4,1,2,5,7,8,6,3]=>[7,4,1,5,2,8,6,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[7,5,8,2,4,3,6,1]=>[2,7,5,4,8,3,6,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[6,5,8,2,3,4,1,7]=>[2,3,6,5,4,8,1,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[8,1,5,3,4,6,2,7]=>[3,1,5,8,4,6,2,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[1,7,2,4,8,5,6,3]=>[7,1,8,2,4,5,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[2,7,3,1,8,5,6,4]=>[7,2,8,5,3,1,6,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[6,4,5,2,1,8,7,3]=>[8,4,6,5,7,2,1,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[6,1,2,4,7,8,5,3]=>[6,7,1,2,4,8,5,3]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[6,5,4,2,3,8,7,1]=>[8,2,6,5,4,3,7,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[1,5,3,4,2,8,6,7]=>[5,8,1,3,4,2,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[2,1,5,3,7,6,4,8]=>[7,5,6,2,1,3,4,8]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[2,5,1,3,8,6,4,7]=>[5,8,2,1,6,3,4,7]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[3,1,4,7,2,6,8,5]=>[7,3,4,1,2,6,8,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[2,8,6,1,5,7,4,3]=>[8,6,2,1,5,7,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[8,3,5,1,7,6,4,2]=>[8,5,3,7,6,4,1,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[8,3,5,4,7,1,6,2]=>[3,5,8,4,7,1,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[4,8,7,1,2,5,3,6]=>[4,1,2,8,7,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[8,6,5,1,3,7,2,4]=>[1,6,3,8,5,2,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[8,4,6,1,5,7,2,3]=>[1,4,6,2,8,5,7,3]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[1,8,5,7,4,6,3,2]=>[8,5,1,4,7,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[5,7,1,6,4,2,3,8]=>[1,5,7,6,2,4,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[2,8,4,6,7,1,5,3]=>[4,2,8,1,6,7,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[1,7,6,2,5,3,8,4]=>[7,6,1,5,8,2,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,7,5,2,4,3,8,6]=>[7,8,1,5,4,2,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[3,8,7,1,4,6,2,5]=>[3,1,8,4,2,7,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[5,4,1,8,2,6,7,3]=>[5,4,8,1,2,6,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[2,7,6,1,5,3,4,8]=>[2,7,1,6,3,5,4,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[6,3,5,7,8,4,1,2]=>[1,6,3,5,7,8,4,2]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[5,1,3,8,6,4,7,2]=>[5,8,6,1,3,4,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[7,4,3,6,1,5,8,2]=>[4,3,7,6,1,5,8,2]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[3,6,2,1,5,7,8,4]=>[6,3,2,5,1,7,8,4]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[3,1,2,5,7,6,8,4]=>[7,5,1,3,2,6,8,4]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[5,1,7,3,2,6,8,4]=>[5,7,3,6,1,2,8,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[4,8,2,3,7,5,1,6]=>[2,8,4,3,5,7,1,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[8,7,2,4,3,5,6,1]=>[2,4,8,3,7,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[8,6,2,4,3,5,1,7]=>[2,4,8,6,3,5,1,7]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[8,1,2,4,7,3,5,6]=>[4,1,2,3,5,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[7,6,2,8,4,5,1,3]=>[2,1,7,6,8,4,5,3]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[8,2,6,4,3,7,1,5]=>[2,6,8,4,3,1,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[8,7,3,4,2,1,6,5]=>[8,3,4,7,6,2,1,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[4,5,6,8,2,1,3,7]=>[2,4,5,6,1,8,3,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[2,1,5,7,4,6,3,8]=>[5,4,2,1,7,6,3,8]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[5,8,6,1,2,3,7,4]=>[5,1,2,8,6,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[8,4,5,6,7,1,3,2]=>[4,1,5,6,8,7,3,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[7,8,4,6,5,2,1,3]=>[2,7,4,8,6,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[1,7,2,5,3,6,8,4]=>[7,1,5,6,2,3,8,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[6,2,5,7,1,8,3,4]=>[2,6,1,5,7,8,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[4,1,7,5,6,8,2,3]=>[1,4,7,5,2,6,8,3]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[3,7,6,2,1,4,5,8]=>[3,2,7,1,6,4,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[1,5,8,3,7,2,4,6]=>[3,5,1,2,4,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[1,6,8,7,2,5,4,3]=>[8,6,1,7,5,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[5,1,6,8,7,4,3,2]=>[8,5,6,7,4,1,3,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[3,8,2,4,5,6,1,7]=>[3,2,4,5,6,8,1,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[4,5,8,6,2,3,1,7]=>[2,4,8,5,6,3,1,7]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[5,4,7,1,8,2,3,6]=>[1,5,4,2,7,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[4,8,3,2,1,6,5,7]=>[4,8,3,6,2,1,5,7]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,3,2,8,6,7,1,5]=>[4,3,8,2,1,6,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,3,1,2,5,7,8,6]=>[7,1,4,3,2,5,8,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[6,5,2,8,7,4,1,3]=>[2,8,6,5,7,1,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[9,8,7,6,5,3,1,4,2]=>[3,9,8,7,6,5,4,1,2]=>[[1,2],[3,4],[5],[6],[7],[8],[9]]=>[3,6]
[4,6,7,5,2,3,1,8]=>[2,6,4,7,5,3,1,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[6,2,5,3,1,8,7,4]=>[8,6,5,2,7,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[6,2,5,3,8,7,1,4]=>[2,8,6,3,5,1,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[6,4,5,3,8,7,1,2]=>[1,8,4,6,5,3,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[1,6,4,5,8,7,3,2]=>[8,6,4,1,5,7,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[8,4,7,5,2,3,1,6]=>[2,4,8,5,7,3,1,6]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[8,2,4,7,5,3,1,6]=>[4,8,2,5,7,3,1,6]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[8,2,6,7,5,3,1,4]=>[2,6,8,3,7,5,1,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[8,4,6,7,5,3,1,2]=>[1,6,4,8,7,5,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[6,4,5,8,7,3,1,2]=>[1,8,4,6,5,7,3,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[6,2,8,7,5,3,1,4]=>[2,8,6,7,5,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[4,6,5,3,8,7,1,2]=>[1,8,6,4,5,3,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[6,7,2,4,5,3,1,8]=>[4,2,6,7,5,3,1,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[6,8,7,4,5,3,1,2]=>[1,4,8,6,7,5,3,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[2,8,4,7,5,3,1,6]=>[2,8,7,4,5,3,1,6]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[5,8,7,4,6,3,1,2]=>[1,5,8,4,7,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[6,5,8,4,7,2,1,3]=>[2,6,5,4,8,7,1,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[6,8,1,2,4,7,3,5]=>[1,6,2,4,3,8,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[8,6,1,3,7,4,2,5]=>[1,6,8,3,7,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[8,3,7,6,2,5,4,1]=>[8,3,7,2,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[8,6,1,2,5,4,7,3]=>[8,1,6,2,5,4,7,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[8,7,1,2,5,6,4,3]=>[5,8,1,2,7,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[1,2,3,4,8,9,5,6,7]=>[1,2,8,3,4,5,6,9,7]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[4,6,1,3,5,8,2,7]=>[4,1,3,6,5,2,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[6,4,5,8,1,7,2,3]=>[1,4,6,5,8,2,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[6,2,8,5,1,4,7,3]=>[6,2,8,1,5,4,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[10,8,9,7,6,5,4,3,2,1]=>[8,10,9,7,6,5,4,3,2,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]]=>[8,2]
[7,4,5,8,6,3,2,1]=>[7,4,8,5,6,3,2,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[9,6,7,8,5,4,3,2,1]=>[6,7,9,8,5,4,3,2,1]=>[[1,7,8],[2],[3],[4],[5],[6],[9]]=>[6,3]
[9,8,7,6,5,2,3,4,1]=>[2,3,9,8,7,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7],[8],[9]]=>[2,7]
[7,3,1,6,5,8,2,4]=>[3,7,1,6,5,2,8,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[2,7,3,6,5,8,4,1]=>[7,6,2,5,3,8,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[1,6,7,5,3,2,8,4]=>[6,7,5,8,1,3,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[7,3,4,6,1,8,2,5]=>[3,4,1,7,6,8,2,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[3,7,4,1,2,8,6,5]=>[7,8,1,6,3,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[5,7,1,2,4,6,8,3]=>[5,1,2,4,7,6,8,3]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[7,4,1,3,6,8,2,5]=>[4,1,3,7,2,6,8,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[6,8,1,2,7,3,4,5]=>[1,2,6,3,8,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,6,8,5,7,4,3,2]=>[6,5,8,7,1,4,3,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[3,8,1,2,4,7,6,5]=>[8,7,1,3,2,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[1,4,5,7,3,6,8,2]=>[4,5,1,3,7,6,8,2]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[4,6,8,7,1,5,3,2]=>[4,8,6,7,1,5,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[1,3,8,7,5,2,6,4]=>[8,3,7,5,1,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[8,7,6,4,1,3,5,2]=>[4,1,8,7,6,3,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[3,2,1,6,4,5,8,7]=>[8,3,6,2,1,4,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[3,2,4,6,1,7,8,5]=>[6,3,2,4,7,1,8,5]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[1,4,5,7,3,6,2,8]=>[4,5,1,3,7,6,2,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[2,3,8,1,4,6,5,7]=>[2,8,3,1,4,6,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[3,1,8,4,5,6,2,7]=>[3,1,8,4,5,6,2,7]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[7,1,4,2,8,6,3,5]=>[4,7,8,1,2,6,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[7,1,3,6,8,4,5,2]=>[7,1,3,4,6,8,5,2]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[7,4,3,1,2,6,8,5]=>[7,1,4,6,3,2,8,5]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[1,6,3,5,8,7,4,2]=>[8,6,5,1,3,7,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[8,4,6,3,5,1,7,2]=>[4,3,6,8,5,7,1,2]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[2,4,5,7,1,6,8,3]=>[4,2,5,7,1,6,8,3]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[8,1,7,6,3,5,2,4]=>[1,8,3,7,2,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[7,1,2,4,6,3,5,8]=>[4,1,2,3,7,6,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[7,1,3,4,6,5,2,8]=>[7,3,1,4,6,5,2,8]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[4,1,5,7,8,6,2,3]=>[1,7,4,5,2,8,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[6,1,4,8,2,3,7,5]=>[6,1,8,2,4,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[7,6,2,3,5,8,4,1]=>[7,2,3,6,5,8,4,1]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[7,4,1,6,2,5,8,3]=>[4,7,1,6,5,2,8,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[8,7,4,6,2,5,3,1]=>[4,8,2,7,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[1,7,5,4,6,2,3,8]=>[1,5,7,4,2,6,3,8]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[6,1,7,4,8,5,2,3]=>[1,6,7,8,4,2,5,3]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[8,2,4,6,3,1,7,5]=>[6,4,2,8,7,3,1,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[7,8,6,5,4,3,2,1,10,9]=>[10,7,8,6,5,4,3,2,1,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7],[10]]=>[7,3]
[1,8,6,2,7,5,3,4]=>[1,6,8,7,5,2,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[2,8,5,1,7,6,3,4]=>[2,8,7,1,5,6,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[5,2,8,6,4,3,1,7]=>[5,8,6,4,2,3,1,7]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[1,8,3,7,5,4,2,6]=>[5,8,7,1,3,4,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[3,8,7,1,6,2,4,5]=>[3,1,2,8,7,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[7,3,6,8,5,4,2,1]=>[7,6,3,8,5,4,2,1]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[8,3,1,2,5,4,7,6]=>[8,1,7,3,5,2,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[1,2,4,8,6,7,3,5]=>[1,8,4,2,3,6,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[7,1,2,6,5,8,3,4]=>[1,7,6,2,3,5,8,4]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[3,2,7,5,1,6,8,4]=>[7,3,5,2,6,1,8,4]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[4,6,3,1,2,7,8,5]=>[6,1,4,7,3,2,8,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[4,5,6,8,2,7,1,3]=>[2,4,5,6,1,8,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[1,7,2,5,8,4,6,3]=>[7,1,5,4,2,8,6,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[2,5,3,8,7,1,4,6]=>[2,5,8,3,1,4,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[5,1,3,7,6,8,4,2]=>[7,5,6,1,3,8,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[5,7,2,4,6,8,3,1]=>[5,2,4,7,6,8,3,1]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[4,5,7,8,3,6,1,2]=>[1,4,5,3,7,8,6,2]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[4,6,3,1,2,5,8,7]=>[8,1,4,3,6,2,5,7]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[1,7,5,4,2,3,8,6]=>[7,1,8,5,4,2,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[8,1,6,5,4,2,3,7]=>[1,6,8,5,2,4,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[5,7,3,6,2,4,8,1]=>[3,5,2,7,6,4,8,1]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[6,1,2,4,7,5,8,3]=>[6,7,1,2,4,5,8,3]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[4,5,8,7,6,3,1,2]=>[1,8,7,4,5,6,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[8,1,4,3,6,2,5,7]=>[1,4,8,3,2,6,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[5,2,3,6,8,1,4,7]=>[2,3,5,1,6,4,8,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[6,7,1,2,4,3,5,8]=>[1,6,2,4,7,3,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[7,1,2,8,6,3,4,5]=>[1,2,7,8,3,6,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[8,7,1,3,5,6,4,2]=>[5,3,1,8,7,6,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[8,1,4,6,7,5,3,2]=>[6,4,8,1,7,5,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[8,1,5,7,6,4,3,2]=>[8,5,7,6,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[1,6,3,7,8,4,2,5]=>[3,6,7,1,4,8,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[1,7,3,8,6,4,5,2]=>[7,1,8,6,3,4,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[3,4,8,2,6,7,5,1]=>[6,3,4,2,8,7,5,1]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[5,2,1,3,8,4,6,7]=>[5,2,1,3,8,4,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[1,4,3,5,8,2,6,7]=>[4,3,1,5,2,6,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[2,1,3,8,6,4,5,7]=>[2,6,8,1,3,4,5,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[6,1,4,3,5,8,2,7]=>[6,1,4,3,5,2,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[6,5,1,3,8,2,4,7]=>[1,6,3,5,2,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[3,5,8,7,6,1,4,2]=>[3,8,7,5,1,6,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[8,9,7,6,5,4,3,2,10,1]=>[8,9,7,6,5,4,3,2,10,1]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[8,2]
[7,6,8,5,4,3,2,9,1]=>[7,6,8,5,4,3,2,9,1]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,2]
[3,5,2,4,8,6,7,1]=>[3,8,2,5,4,6,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[8,4,7,1,5,6,2,3]=>[1,4,5,2,8,7,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[2,7,8,3,6,1,5,4]=>[7,2,3,8,1,6,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[7,3,6,4,1,8,5,2]=>[7,6,3,8,4,5,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[7,8,4,3,6,1,5,2]=>[4,3,7,8,6,1,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[7,1,6,4,3,8,5,2]=>[7,6,8,4,1,3,5,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[8,7,3,4,1,5,2,6]=>[3,4,5,8,7,1,2,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[7,2,6,4,3,8,5,1]=>[7,6,8,2,4,3,5,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[1,6,4,8,5,2,3,7]=>[1,6,4,8,2,5,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[7,2,8,5,3,6,1,4]=>[2,5,7,8,3,1,6,4]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[5,8,6,4,2,7,1,3]=>[2,5,8,6,4,1,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[7,1,5,3,8,2,4,6]=>[1,5,7,3,2,4,8,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[4,6,7,1,3,8,2,5]=>[4,1,3,6,7,2,8,5]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[2,9,3,4,5,6,1,7,8]=>[2,3,4,5,6,9,1,7,8]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,7]
[4,8,5,3,2,1,6,7]=>[4,5,8,3,2,1,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[8,5,3,2,7,4,6,1]=>[5,3,8,7,2,4,6,1]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[7,4,3,6,8,5,2,1]=>[7,4,6,3,8,5,2,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[7,2,6,8,5,3,4,1]=>[2,7,6,3,8,5,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[2,6,7,8,3,5,4,1]=>[6,2,7,3,8,5,4,1]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[8,6,4,5,1,3,7,2]=>[4,1,6,8,5,3,7,2]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[8,4,6,5,1,3,7,2]=>[4,1,8,6,5,3,7,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[8,5,4,7,6,1,2,3]=>[1,2,8,5,7,4,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[7,5,8,2,4,3,1,6]=>[2,7,5,4,8,3,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[5,7,2,4,1,3,8,6]=>[7,2,1,5,8,4,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[1,6,2,5,7,4,8,3]=>[6,5,1,7,2,4,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[7,1,8,3,6,4,5,2]=>[7,1,3,8,6,4,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[7,1,2,6,3,5,8,4]=>[7,1,6,2,3,5,8,4]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[7,2,1,8,4,3,6,5]=>[7,4,8,6,2,1,3,5]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[3,7,5,2,8,4,6,1]=>[5,7,3,2,8,4,6,1]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[7,3,4,1,6,8,5,2]=>[7,3,4,6,8,1,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[1,6,7,5,4,8,2,3]=>[1,6,7,5,2,4,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[3,5,8,4,6,2,7,1]=>[5,3,4,6,8,2,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[7,2,6,5,8,3,1,4]=>[2,7,6,3,5,8,1,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[1,8,5,4,2,6,3,7]=>[5,4,8,6,1,2,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[3,4,5,6,9,1,7,8,2]=>[3,4,5,6,7,1,9,8,2]=>[[1,2,5,6,7,8],[3,4],[9]]=>[3,6]
[5,7,3,6,2,1,4,8]=>[3,5,2,7,6,1,4,8]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[2,3,8,5,4,6,1,7]=>[5,2,8,3,4,6,1,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[6,8,7,1,4,5,3,2]=>[4,8,1,6,7,5,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[6,8,7,1,2,5,4,3]=>[8,6,1,2,7,5,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[2,7,3,1,8,4,6,5]=>[7,2,8,6,3,1,4,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[7,1,3,5,4,2,6,8]=>[3,7,1,5,4,2,6,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[5,3,1,7,6,2,4,8]=>[3,7,5,1,6,2,4,8]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[5,8,6,1,2,4,3,7]=>[1,8,2,5,6,4,3,7]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[5,7,2,1,6,8,4,3]=>[5,7,6,2,8,1,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[6,2,5,7,4,1,8,3]=>[6,5,2,7,4,8,1,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[1,3,2,4,5,6,7,8,10,9]=>[10,3,1,2,4,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3],[10]]=>[3,7]
[3,7,1,2,6,4,5,8]=>[1,7,3,2,4,6,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[5,3,7,4,6,2,1,8]=>[5,3,7,4,6,2,1,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[5,7,3,2,1,8,6,4]=>[7,5,8,6,3,2,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[5,7,6,3,2,1,8,4]=>[7,5,6,8,3,2,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[1,7,3,5,4,2,6,8]=>[5,7,1,3,4,2,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[7,1,5,3,2,4,8,6]=>[7,1,8,5,3,2,4,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,6,2,5,4,8,7,1]=>[8,6,3,2,5,4,7,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[3,1,5,8,4,2,7,6]=>[8,5,3,1,7,4,2,6]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[7,3,1,4,2,8,5,6]=>[3,7,4,8,1,2,5,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[8,3,1,4,2,7,5,6]=>[3,8,4,1,7,2,5,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[5,1,3,4,8,6,2,7]=>[3,8,1,5,4,6,2,7]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[2,7,4,1,8,5,3,6]=>[4,7,8,2,5,1,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[3,6,5,2,4,8,1,7]=>[3,6,2,5,4,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[6,3,4,5,1,7,2,8]=>[3,4,6,5,7,1,2,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[2,1,5,4,7,8,3,6]=>[5,4,2,1,3,7,8,6]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[6,3,8,2,5,7,1,4]=>[3,2,6,1,5,8,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[1,4,5,8,2,6,7,3]=>[4,5,1,6,2,8,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[1,8,7,5,6,4,2,3]=>[1,8,7,2,5,6,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[1,3,6,5,8,7,2,4]=>[3,8,6,1,2,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[1,4,8,7,6,2,3,5]=>[1,4,8,7,2,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[1,4,7,6,2,5,3,8]=>[4,7,6,1,2,5,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[1,3,7,2,6,5,4,8]=>[7,6,3,1,2,5,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[7,5,1,4,6,3,2,8]=>[5,7,1,4,6,3,2,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[7,5,1,4,6,3,8,2]=>[5,7,1,4,6,3,8,2]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[6,5,8,3,7,1,4,2]=>[3,6,5,8,1,7,4,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[4,1,5,7,6,2,8,3]=>[7,4,5,6,1,8,2,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[4,7,5,8,6,2,3,1]=>[2,7,8,4,5,6,3,1]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[3,6,8,5,7,1,2,4]=>[1,3,6,2,5,8,7,4]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[3,6,8,7,4,2,5,1]=>[3,8,6,4,7,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[1,6,2,8,5,7,4,3]=>[6,8,5,1,7,2,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[1,8,4,7,2,5,6,3]=>[4,1,8,5,2,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[6,8,4,5,7,3,1,2]=>[1,4,6,5,8,7,3,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[5,4,8,3,6,7,2,1]=>[5,4,3,6,8,7,2,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[7,3,2,8,5,4,1,6]=>[5,7,8,3,2,4,1,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[7,3,4,8,5,1,2,6]=>[1,3,7,4,8,5,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[7,4,8,1,3,5,2,6]=>[4,1,3,7,5,8,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[7,6,2,4,1,8,3,5]=>[2,7,4,6,1,8,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[8,3,6,4,1,2,7,5]=>[8,1,3,6,7,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[7,6,8,5,1,2,4,3]=>[7,1,2,6,8,5,4,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[7,2,5,1,8,4,6,3]=>[7,2,5,8,1,4,6,3]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[2,8,5,3,6,4,1,7]=>[5,6,8,2,3,4,1,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[6,1,8,4,2,3,7,5]=>[6,1,8,4,7,2,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[7,1,8,5,2,6,3,4]=>[1,5,7,8,6,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[1,7,4,2,3,8,6,5]=>[7,8,1,6,4,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[1,5,2,4,7,6,8,3]=>[7,5,1,4,2,6,8,3]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[4,8,6,2,7,5,1,3]=>[2,8,4,6,7,1,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[7,5,1,6,2,3,4,8]=>[1,2,5,7,6,3,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[6,1,7,2,4,5,8,3]=>[6,1,2,7,4,5,8,3]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[6,2,1,8,4,7,3,5]=>[2,6,8,4,1,3,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[2,5,4,7,1,8,3,6]=>[5,4,2,1,7,8,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[6,2,7,4,3,8,5,1]=>[6,7,8,4,2,3,5,1]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[1,5,4,7,3,8,2,6]=>[5,4,1,7,3,2,8,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[5,2,3,7,6,8,4,1]=>[7,5,2,6,3,8,4,1]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[8,1,2,4,6,3,5,7]=>[4,1,2,3,6,8,5,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[5,4,6,7,8,9,3,2,1]=>[5,4,6,7,8,9,3,2,1]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>[5,4]
[6,5,7,8,9,4,3,2,1]=>[6,5,7,8,9,4,3,2,1]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>[6,3]
[6,5,7,8,9,10,4,3,2,1]=>[6,5,7,8,9,10,4,3,2,1]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>[6,4]
[5,4,6,7,8,3,9,2,1]=>[5,4,6,7,8,3,9,2,1]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>[5,4]
[5,4,6,7,8,9,10,3,2,1]=>[5,4,6,7,8,9,10,3,2,1]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>[5,5]
[4,5,6,7,8,9,3,1,2]=>[1,4,5,6,7,8,9,3,2]=>[[1,2,5,6,7,8,9],[3],[4]]=>[4,5]
[6,3,5,7,4,8,1,2]=>[1,6,3,5,7,4,8,2]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[8,5,2,1,7,3,6,4]=>[5,8,2,7,6,1,3,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[5,7,1,3,6,4,8,2]=>[5,7,1,3,6,4,8,2]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[8,1,7,6,4,2,3,5]=>[1,2,8,7,6,4,3,5]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[7,5,3,2,1,4,8,6]=>[7,3,8,5,2,1,4,6]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[6,1,7,2,5,8,4,3]=>[6,7,1,5,8,2,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[2,6,8,4,5,3,7,1]=>[6,2,4,5,8,3,7,1]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[3,4,2,8,5,7,1,6]=>[3,4,8,2,5,1,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[1,5,3,6,4,2,8,7]=>[8,5,6,3,1,4,2,7]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[8,4,6,1,5,2,7,3]=>[4,8,1,6,5,7,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[6,2,3,8,1,5,4,7]=>[6,2,3,1,8,5,4,7]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[2,4,1,5,6,8,7,3]=>[8,4,2,5,1,6,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[4,5,7,1,6,2,8,3]=>[4,5,7,6,1,8,2,3]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[7,6,4,2,3,8,5,1]=>[7,2,6,8,4,3,5,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[4,8,7,3,2,5,6,1]=>[4,3,8,2,7,5,6,1]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[5,6,2,8,7,4,3,1]=>[8,5,6,7,4,2,3,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[2,5,6,4,8,7,1,3]=>[2,8,5,1,6,4,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[3,7,5,6,4,2,8,1]=>[7,3,5,6,4,2,8,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[8,3,6,4,7,2,1,5]=>[3,4,8,6,2,7,1,5]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[2,7,1,4,6,8,5,3]=>[7,4,2,1,6,8,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[5,1,8,7,2,4,3,6]=>[1,8,5,4,7,2,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[3,6,8,1,5,2,7,4]=>[6,3,5,1,8,7,2,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[8,3,1,4,6,7,2,5]=>[3,4,1,2,8,6,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[7,8,5,1,2,6,3,4]=>[1,5,2,7,8,6,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[8,6,2,1,7,3,5,4]=>[6,2,8,7,5,1,3,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[7,2,8,4,6,5,3,1]=>[7,8,2,6,4,5,3,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[7,8,6,1,4,3,5,2]=>[7,1,4,8,6,3,5,2]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[5,2,8,6,7,4,1,3]=>[2,5,8,6,1,7,4,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[1,7,2,6,5,4,8,3]=>[7,6,5,1,4,2,8,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[5,4,8,3,7,6,2,1]=>[8,5,4,3,7,6,2,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[6,3,1,7,2,4,8,5]=>[6,3,7,1,8,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[8,1,5,2,3,6,4,7]=>[1,8,2,5,6,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[8,5,2,1,3,6,4,7]=>[5,2,6,8,1,3,4,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[4,7,2,1,3,8,5,6]=>[2,7,4,1,8,3,5,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[8,2,5,1,6,3,4,7]=>[2,5,1,6,8,3,4,7]=>[[1,3,4,7],[2,5,6,8]]=>[2,3,3]
[8,4,2,5,6,1,3,7]=>[2,4,1,5,8,6,3,7]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[1,2,3,4,8,5,9,6,7]=>[1,8,9,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[8,2,6,5,1,7,4,3]=>[8,6,2,5,7,4,1,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[7,6,4,1,2,5,8,3]=>[4,1,7,6,5,2,8,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[7,6,3,2,5,8,4,1]=>[7,3,6,5,2,8,4,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[8,3,2,1,7,5,4,6]=>[3,8,7,5,2,1,4,6]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[2,4,8,5,6,3,7,1]=>[2,8,4,5,6,3,7,1]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[7,2,1,3,8,4,6,5]=>[7,2,8,1,6,3,4,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[7,1,8,4,3,2,6,5]=>[7,4,8,6,3,1,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[8,1,5,4,2,6,7,3]=>[5,8,1,4,6,2,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[7,4,1,6,8,5,3,2]=>[7,4,6,8,5,1,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[8,3,5,7,4,6,2,1]=>[5,3,4,8,7,6,2,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[6,2,8,7,3,5,1,4]=>[2,3,8,6,7,1,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[3,8,2,5,7,6,4,1]=>[8,5,3,2,7,6,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[5,8,3,4,2,1,6,7]=>[3,5,4,2,8,1,6,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[1,2,3,4,5,9,10,6,7,8]=>[1,2,9,3,4,5,6,7,10,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,1]
[2,8,3,4,5,7,1,6]=>[2,3,4,5,8,1,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[1,8,5,2,7,6,4,3]=>[8,5,7,6,4,1,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[7,4,6,2,8,5,3,1]=>[7,4,6,8,5,2,3,1]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[5,3,4,7,6,8,2,1]=>[7,3,5,4,6,8,2,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[5,3,4,8,2,1,7,6]=>[8,3,5,4,2,7,1,6]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[1,6,3,4,2,5,8,7]=>[8,1,6,3,4,2,5,7]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[1,3,7,4,6,8,5,2]=>[7,6,1,3,4,8,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[6,7,1,5,2,3,4,8]=>[1,2,6,3,7,5,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[7,6,3,5,1,8,2,4]=>[3,1,7,6,5,8,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[2,7,3,6,1,4,8,5]=>[7,2,3,6,1,8,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[3,7,4,6,8,1,5,2]=>[3,4,7,6,1,8,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[2,3,4,5,1,6,9,8,7]=>[9,8,2,3,4,5,1,6,7]=>[[1,3,4,5,6,7],[2],[8],[9]]=>[2,7]
[2,3,4,5,6,7,1,10,9,8]=>[10,9,2,3,4,5,6,7,1,8]=>[[1,3,4,5,6,7,8],[2],[9],[10]]=>[2,8]
[3,4,7,8,1,5,2,6]=>[3,4,1,7,5,8,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[4,8,3,1,7,6,2,5]=>[4,8,3,1,7,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[5,6,1,4,3,8,7,2]=>[8,5,6,1,4,3,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[4,1,3,7,8,6,5,2]=>[7,8,4,1,3,6,5,2]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[4,1,7,5,3,8,2,6]=>[4,7,5,3,1,2,8,6]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[4,6,5,1,8,7,3,2]=>[8,6,4,5,7,3,1,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[4,3,7,6,2,5,1,8]=>[4,7,3,2,6,5,1,8]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[5,8,1,2,6,4,3,7]=>[5,1,8,6,2,4,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
Map
Foata bijection
Description
Sends a permutation to its image under the Foata bijection.
The Foata bijection $\phi$ is a bijection on the set of words with no two equal letters. It can be defined by induction on the size of the word:
Given a word $w_1 w_2 ... w_n$, compute the image inductively by starting with $\phi(w_1) = w_1$.
At the $i$-th step, if $\phi(w_1 w_2 ... w_i) = v_1 v_2 ... v_i$, define $\phi(w_1 w_2 ... w_i w_{i+1})$ by placing $w_{i+1}$ on the end of the word $v_1 v_2 ... v_i$ and breaking the word up into blocks as follows.
To compute $\phi([1,4,2,5,3])$, the sequence of words is
This bijection sends the major index (St000004The major index of a permutation.) to the number of inversions (St000018The number of inversions of a permutation.).
The Foata bijection $\phi$ is a bijection on the set of words with no two equal letters. It can be defined by induction on the size of the word:
Given a word $w_1 w_2 ... w_n$, compute the image inductively by starting with $\phi(w_1) = w_1$.
At the $i$-th step, if $\phi(w_1 w_2 ... w_i) = v_1 v_2 ... v_i$, define $\phi(w_1 w_2 ... w_i w_{i+1})$ by placing $w_{i+1}$ on the end of the word $v_1 v_2 ... v_i$ and breaking the word up into blocks as follows.
- If $w_{i+1} \geq v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} \geq v_k$.
- If $w_{i+1} < v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} < v_k$.
To compute $\phi([1,4,2,5,3])$, the sequence of words is
- $1$
- $|1|4 \to 14$
- $|14|2 \to 412$
- $|4|1|2|5 \to 4125$
- $|4|125|3 \to 45123.$
This bijection sends the major index (St000004The major index of a permutation.) to the number of inversions (St000018The number of inversions of a permutation.).
Map
Robinson-Schensted insertion tableau
Description
Sends a permutation to its Robinson-Schensted insertion tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding insertion tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding insertion tableau.
Map
valley composition
Description
The composition corresponding to the valley set of a standard tableau.
Let $T$ be a standard tableau of size $n$.
An entry $i$ of $T$ is a descent if $i+1$ is in a lower row (in English notation), otherwise $i$ is an ascent.
An entry $2 \leq i \leq n-1$ is a valley if $i-1$ is a descent and $i$ is an ascent.
This map returns the composition $c_1,\dots,c_k$ of $n$ such that $\{c_1, c_1+c_2,\dots, c_1+\dots+c_k\}$ is the valley set of $T$.
Let $T$ be a standard tableau of size $n$.
An entry $i$ of $T$ is a descent if $i+1$ is in a lower row (in English notation), otherwise $i$ is an ascent.
An entry $2 \leq i \leq n-1$ is a valley if $i-1$ is a descent and $i$ is an ascent.
This map returns the composition $c_1,\dots,c_k$ of $n$ such that $\{c_1, c_1+c_2,\dots, c_1+\dots+c_k\}$ is the valley set of $T$.
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